Table of contents 目次

17×10116+43

c102

name 名前Dmitry Domanov
date 日付September 10, 2022 00:49:36 UTC 2022 年 9 月 10 日 (土) 9 時 49 分 36 秒 (日本時間)
composite number 合成数
728003280469750665049783476553827371298079164960244788638066664280605658425542981039184756742768608121<102>
prime factors 素因数
38307267841554120137312307333919290569087<41>
19004312275177275619747226566204226313835590350472824208299783<62>
factorization results 素因数分解の結果
N=728003280469750665049783476553827371298079164960244788638066664280605658425542981039184756742768608121
  ( 102 digits)
SNFS difficulty: 117 digits.
Divisors found:
 r1=38307267841554120137312307333919290569087 (pp41)
 r2=19004312275177275619747226566204226313835590350472824208299783 (pp62)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.73 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 728003280469750665049783476553827371298079164960244788638066664280605658425542981039184756742768608121
m: 100000000000000000000000000000
deg: 4
c4: 17
c0: 4
skew: 0.70
# Murphy_E = 5.786e-08
type: snfs
lss: 1
rlim: 630000
alim: 630000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 630000/630000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [315000, 695001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 71319 x 71547
Total sieving time: 0.72 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,117.000,4,0,0,0,0,0,0,0,0,630000,630000,25,25,45,45,2.2,2.2,20000
total time: 0.73 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)

17×10118+43

c111

name 名前Ignacio Santos
date 日付September 10, 2022 09:48:22 UTC 2022 年 9 月 10 日 (土) 18 時 48 分 22 秒 (日本時間)
composite number 合成数
235565098694931108543470011030377316701683557155373290617011450553397566781028810781081821242350487621694246379<111>
prime factors 素因数
3323369456562047559197104887724066912676371121<46>
70881405685968483994278977492355394426130581340832078643156017499<65>
factorization results 素因数分解の結果
Number: 1
N=235565098694931108543470011030377316701683557155373290617011450553397566781028810781081821242350487621694246379
  ( 111 digits)
SNFS difficulty: 118 digits.
Divisors found:
 r1=3323369456562047559197104887724066912676371121 (pp46)
 r2=70881405685968483994278977492355394426130581340832078643156017499 (pp65)
Version: Msieve v. 1.52 (SVN 927)
Total time: 0.71 hours.
Scaled time: 5.56 units (timescale=7.800).
Factorization parameters were as follows:
n: 235565098694931108543470011030377316701683557155373290617011450553397566781028810781081821242350487621694246379
m: 100000000000000000000000000000
deg: 4
c4: 425
c0: 1
skew: 0.22
# Murphy_E = 4.843e-08
type: snfs
lss: 1
rlim: 660000
alim: 660000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 660000/660000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [330000, 530001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 71673 x 71921
Total sieving time: 0.70 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,118.000,4,0,0,0,0,0,0,0,0,660000,660000,25,25,45,45,2.2,2.2,50000
total time: 0.71 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)

17×10121+43

c92

name 名前Ignacio Santos
date 日付September 10, 2022 07:42:14 UTC 2022 年 9 月 10 日 (土) 16 時 42 分 14 秒 (日本時間)
composite number 合成数
15531866328336962877300711887411450845806974150538868770851208109963446810421002452159654173<92>
prime factors 素因数
45014880279490419371760669193250696687<38>
345038490203728423820334950045173977757417788920505779<54>
factorization results 素因数分解の結果
prp38 = 45014880279490419371760669193250696687
prp54 = 345038490203728423820334950045173977757417788920505779
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)

17×10122+43

c116

name 名前Ignacio Santos
date 日付September 10, 2022 10:39:27 UTC 2022 年 9 月 10 日 (土) 19 時 39 分 27 秒 (日本時間)
composite number 合成数
19566221924140422493199817117976537751966324736579954235297491974050862140681872245277370071424076130189865553353243<116>
prime factors 素因数
6126442753546885513260049377450921123078531133390899287<55>
3193732923206148862593755233621835480097050515542207681524189<61>
factorization results 素因数分解の結果
Number: 1
N=19566221924140422493199817117976537751966324736579954235297491974050862140681872245277370071424076130189865553353243
  ( 116 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=6126442753546885513260049377450921123078531133390899287 (pp55)
 r2=3193732923206148862593755233621835480097050515542207681524189 (pp61)
Version: Msieve v. 1.52 (SVN 927)
Total time: 1.01 hours.
Scaled time: 7.88 units (timescale=7.800).
Factorization parameters were as follows:
n: 19566221924140422493199817117976537751966324736579954235297491974050862140681872245277370071424076130189865553353243
m: 1000000000000000000000000000000
deg: 4
c4: 425
c0: 1
skew: 0.22
# Murphy_E = 3.129e-08
type: snfs
lss: 1
rlim: 770000
alim: 770000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor base limits: 770000/770000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [385000, 685001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 81335 x 81560
Total sieving time: 1.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,122.000,4,0,0,0,0,0,0,0,0,770000,770000,25,25,46,46,2.2,2.2,75000
total time: 1.01 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)

17×10123+43

c114

name 名前Ignacio Santos
date 日付September 10, 2022 10:50:38 UTC 2022 年 9 月 10 日 (土) 19 時 50 分 38 秒 (日本時間)
composite number 合成数
341277914358550832279633155461878081805764535513857918583987369590581233980491487540354606731282600079421762605819<114>
prime factors 素因数
11132390307193067450222104619840341931033323249<47>
30656301561582689691792393728088160755473905561421595578038905589931<68>
factorization results 素因数分解の結果
Number: 1
N=341277914358550832279633155461878081805764535513857918583987369590581233980491487540354606731282600079421762605819
  ( 114 digits)
SNFS difficulty: 124 digits.
Divisors found:
 r1=11132390307193067450222104619840341931033323249 (pp47)
 r2=30656301561582689691792393728088160755473905561421595578038905589931 (pp68)
Version: Msieve v. 1.52 (SVN 927)
Total time: 1.03 hours.
Scaled time: 8.02 units (timescale=7.782).
Factorization parameters were as follows:
n: 341277914358550832279633155461878081805764535513857918583987369590581233980491487540354606731282600079421762605819
m: 5000000000000000000000000000000
deg: 4
c4: 34
c0: 5
skew: 0.62
# Murphy_E = 2.905e-08
type: snfs
lss: 1
rlim: 830000
alim: 830000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor base limits: 830000/830000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [415000, 715001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 85819 x 86044
Total sieving time: 1.02 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,124.000,4,0,0,0,0,0,0,0,0,830000,830000,25,25,46,46,2.2,2.2,75000
total time: 1.03 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)

17×10130+43

c112

name 名前Ignacio Santos
date 日付September 10, 2022 11:25:17 UTC 2022 年 9 月 10 日 (土) 20 時 25 分 17 秒 (日本時間)
composite number 合成数
8083032731316574974306732769623560099215685905428934963020137530849798779810036907328699787936192288753609429979<112>
prime factors 素因数
21739873590661328047203443171837905352356921<44>
371806795361899282892429997100930570386910882663450456775607066398899<69>
factorization results 素因数分解の結果
Number: 1
N=8083032731316574974306732769623560099215685905428934963020137530849798779810036907328699787936192288753609429979
  ( 112 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=21739873590661328047203443171837905352356921 (pp44)
 r2=371806795361899282892429997100930570386910882663450456775607066398899 (pp69)
Version: Msieve v. 1.52 (SVN 927)
Total time: 1.99 hours.
Scaled time: 15.55 units (timescale=7.800).
Factorization parameters were as follows:
n: 8083032731316574974306732769623560099215685905428934963020137530849798779810036907328699787936192288753609429979
m: 100000000000000000000000000000000
deg: 4
c4: 425
c0: 1
skew: 0.22
# Murphy_E = 1.287e-08
type: snfs
lss: 1
rlim: 1050000
alim: 1050000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1050000/1050000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [525000, 1025001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 155438 x 155663
Total sieving time: 1.97 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,130.000,4,0,0,0,0,0,0,0,0,1050000,1050000,26,26,47,47,2.3,2.3,100000
total time: 1.99 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)

17×10133+43

c127

name 名前Ignacio Santos
date 日付September 11, 2022 08:36:35 UTC 2022 年 9 月 11 日 (日) 17 時 36 分 35 秒 (日本時間)
composite number 合成数
1276228791367192073544170533714976791103778451005982089735459992945007241322162217447825289623608298778312722838931007942377159<127>
prime factors 素因数
116951855781879020498530618565501275274851540497170358497<57>
10912428732618161420566271495879492062707544920173493041222576847457447<71>
factorization results 素因数分解の結果
Number: 1
N=1276228791367192073544170533714976791103778451005982089735459992945007241322162217447825289623608298778312722838931007942377159
  ( 127 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=116951855781879020498530618565501275274851540497170358497 (pp57)
 r2=10912428732618161420566271495879492062707544920173493041222576847457447 (pp71)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.41 hours.
Scaled time: 18.67 units (timescale=7.740).
Factorization parameters were as follows:
n: 1276228791367192073544170533714976791103778451005982089735459992945007241322162217447825289623608298778312722838931007942377159
m: 1000000000000000000000000000000000
deg: 4
c4: 85
c0: 2
skew: 0.39
# Murphy_E = 1.018e-08
type: snfs
lss: 1
rlim: 1190000
alim: 1190000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1190000/1190000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [595000, 1195001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 162410 x 162636
Total sieving time: 2.39 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,133.000,4,0,0,0,0,0,0,0,0,1190000,1190000,26,26,47,47,2.3,2.3,100000
total time: 2.41 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)

17×10141+43

c87

name 名前Dmitry Domanov
date 日付September 9, 2022 23:06:47 UTC 2022 年 9 月 10 日 (土) 8 時 6 分 47 秒 (日本時間)
composite number 合成数
307465282927753485765577257543940207956965016015957180425619470322479273004861068102353<87>
prime factors 素因数
232288000691749014142482456852829985147<39>
1323638250844331307096066858409482914544951262499<49>
factorization results 素因数分解の結果
P49 = 1323638250844331307096066858409482914544951262499
P39 = 232288000691749014142482456852829985147

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)

17×10143+43

c133

name 名前Bob Backstrom
date 日付September 10, 2022 12:31:12 UTC 2022 年 9 月 10 日 (土) 21 時 31 分 12 秒 (日本時間)
composite number 合成数
2510447623505600716674100473330768249981691720443998480487296600202253416532811901609492180707437332324339469852761523813411592506867<133>
prime factors 素因数
40835176675539146014203862905562906050848820271903<50>
61477574676673180509124166591548714925245203295397628194967831221584758583497852589<83>
factorization results 素因数分解の結果
Number: n
N=2510447623505600716674100473330768249981691720443998480487296600202253416532811901609492180707437332324339469852761523813411592506867  ( 133 digits)
SNFS difficulty: 144 digits.
Divisors found:

Sat Sep 10 22:26:37 2022  p50 factor: 40835176675539146014203862905562906050848820271903
Sat Sep 10 22:26:37 2022  p83 factor: 61477574676673180509124166591548714925245203295397628194967831221584758583497852589
Sat Sep 10 22:26:37 2022  elapsed time 00:02:36 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.294).
Factorization parameters were as follows:
#
# N = 17x10^143+4 = 56(142)8
#
n: 2510447623505600716674100473330768249981691720443998480487296600202253416532811901609492180707437332324339469852761523813411592506867
m: 500000000000000000000000000000000000
deg: 4
c4: 34
c0: 5
skew: 0.62
# Murphy_E = 3.005e-09
type: snfs
lss: 1
rlim: 1780000
alim: 1780000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1780000/1780000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6490000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 431099 hash collisions in 6243300 relations (6514074 unique)
Msieve: matrix is 259146 x 259372 (87.0 MB)

Sieving start time : 2022/09/10 22:07:27
Sieving end time  : 2022/09/10 22:23:49

Total sieving time: 0hrs 16min 22secs.

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

Prototype def-par.txt line would be:
snfs,144,4,0,0,0,0,0,0,0,0,1780000,1780000,26,26,49,49,2.3,2.3,100000
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)

17×10144+43

c141

name 名前Bob Backstrom
date 日付September 10, 2022 09:56:40 UTC 2022 年 9 月 10 日 (土) 18 時 56 分 40 秒 (日本時間)
composite number 合成数
415566637332551090251295590104625012222548156839737948567517356018382712427886965874645546103451647599491541996675466901339591277989635279163<141>
prime factors 素因数
225599741529694719554632809930449618884176812491526201<54>
1842052807839107602513318339884487534789525199780201609048304937350748489515933292428563<88>
factorization results 素因数分解の結果
Number: n
N=415566637332551090251295590104625012222548156839737948567517356018382712427886965874645546103451647599491541996675466901339591277989635279163  ( 141 digits)
SNFS difficulty: 145 digits.
Divisors found:

Sat Sep 10 19:52:50 2022  p54 factor: 225599741529694719554632809930449618884176812491526201
Sat Sep 10 19:52:50 2022  p88 factor: 1842052807839107602513318339884487534789525199780201609048304937350748489515933292428563
Sat Sep 10 19:52:50 2022  elapsed time 00:03:12 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.305).
Factorization parameters were as follows:
#
# N = 17x10^144+4 = 56(143)8
#
n: 415566637332551090251295590104625012222548156839737948567517356018382712427886965874645546103451647599491541996675466901339591277989635279163
m: 1000000000000000000000000000000000000
deg: 4
c4: 17
c0: 4
skew: 0.70
# Murphy_E = 2.477e-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 578031 hash collisions in 5803738 relations (5847358 unique)
Msieve: matrix is 248177 x 248402 (83.8 MB)

Sieving start time : 2022/09/10 19:46:45
Sieving end time  : 2022/09/10 19:49:07

Total sieving time: 0hrs 2min 22secs.

Total relation processing time: 0hrs 1min 34sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 17sec.

Prototype def-par.txt line would be:
snfs,145,4,0,0,0,0,0,0,0,0,1840000,1840000,26,26,49,49,2.3,2.3,100000
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)

17×10145+43

c112

name 名前Ignacio Santos
date 日付September 11, 2022 16:01:57 UTC 2022 年 9 月 12 日 (月) 1 時 1 分 57 秒 (日本時間)
composite number 合成数
5329292288476989963495465653334683979363724424455299717254706183173517922001870862611014852659378156049873088143<112>
prime factors 素因数
6568825620672345263401979943266310577466346977<46>
811300618440152143282520618080723069557398495528642052158461864559<66>
factorization results 素因数分解の結果
Number: 1
N=5329292288476989963495465653334683979363724424455299717254706183173517922001870862611014852659378156049873088143
  ( 112 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=6568825620672345263401979943266310577466346977 (pp46)
 r2=811300618440152143282520618080723069557398495528642052158461864559 (pp66)
Version: Msieve v. 1.52 (SVN 927)
Total time: 8.06 hours.
Scaled time: 62.33 units (timescale=7.734).
Factorization parameters were as follows:
n: 5329292288476989963495465653334683979363724424455299717254706183173517922001870862611014852659378156049873088143
m: 1000000000000000000000000000000000000
deg: 4
c4: 85
c0: 2
skew: 0.39
# Murphy_E = 2.557e-09
type: snfs
lss: 1
rlim: 1890000
alim: 1890000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1890000/1890000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [945000, 1745001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 269960 x 270185
Total sieving time: 8.02 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,145.000,4,0,0,0,0,0,0,0,0,1890000,1890000,26,26,49,49,2.3,2.3,100000
total time: 8.06 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GMP-ECM

ECM

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

17×10146+43

c132

name 名前Ignacio Santos
date 日付September 12, 2022 12:29:32 UTC 2022 年 9 月 12 日 (月) 21 時 29 分 32 秒 (日本時間)
composite number 合成数
367810886204159551259748874602205436189201701919240915466773876387759660694791339625437586084949348781323118584335187775106419855843<132>
prime factors 素因数
78318805447773255304587149598442824529<38>
126004412963688146724880598425565583327473<42>
37271147919486109606797666296108758027011034985606179<53>
factorization results 素因数分解の結果
Number: 1
N=367810886204159551259748874602205436189201701919240915466773876387759660694791339625437586084949348781323118584335187775106419855843
  ( 132 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=78318805447773255304587149598442824529 (pp38)
 r2=126004412963688146724880598425565583327473 (pp42)
 r3=37271147919486109606797666296108758027011034985606179 (pp53)
Version: Msieve v. 1.52 (SVN 927)
Total time: 4.99 hours.
Scaled time: 38.92 units (timescale=7.806).
Factorization parameters were as follows:
n: 367810886204159551259748874602205436189201701919240915466773876387759660694791339625437586084949348781323118584335187775106419855843
m: 100000000000000000000000000000
deg: 5
c5: 85
c0: 2
skew: 0.47
# Murphy_E = 2.094e-09
type: snfs
lss: 1
rlim: 1970000
alim: 1970000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1970000/1970000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [985000, 2085001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 302498 x 302723
Total sieving time: 4.91 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,146.000,5,0,0,0,0,0,0,0,0,1970000,1970000,26,26,49,49,2.3,2.3,100000
total time: 4.99 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)

17×10153+43

c101

name 名前Eric Jeancolas
date 日付September 9, 2022 19:53:05 UTC 2022 年 9 月 10 日 (土) 4 時 53 分 5 秒 (日本時間)
composite number 合成数
18829335167017197370916205976304150709585331528189280106003155927836471247199497482791409756933728013<101>
prime factors 素因数
372088693645633858435580185203225691813<39>
50604427085735888936648127361850615506380142891359354419747401<62>
factorization results 素因数分解の結果
18829335167017197370916205976304150709585331528189280106003155927836471247199497482791409756933728013=372088693645633858435580185203225691813*50604427085735888936648127361850615506380142891359354419747401

cado polynomial
n: 18829335167017197370916205976304150709585331528189280106003155927836471247199497482791409756933728013
skew: 278309.944
c0: -424621466009888260947473640
c1: 298909209989361583488
c2: -3856403363810716
c3: 8934324211
c4: 97500
Y0: -662899072097887414857049
Y1: 678717940272959
# MurphyE (Bf=3.355e+07,Bg=1.678e+07,area=2.206e+12) = 2.345e-06
# f(x) = 97500*x^4+8934324211*x^3-3856403363810716*x^2+298909209989361583488*x-424621466009888260947473640
# g(x) = 678717940272959*x-662899072097887414857049

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: 372088693645633858435580185203225691813 50604427085735888936648127361850615506380142891359354419747401
Info:Square Root: Total cpu/real time for sqrt: 46.26/13.796
Info:Filtering - Singleton removal: Total cpu/real time for purge: 17.37/19.0306
Info:Filtering - Merging: Merged matrix has 207152 rows and total weight 35384593 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 43.49/12.1521
Info:Filtering - Merging: Total cpu/real time for replay: 7.22/5.90602
Info:Generate Factor Base: Total cpu/real time for makefb: 0.75/0.23222
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2455102
Info:Lattice Sieving: Average J: 991.855 for 109716 special-q, max bucket fill -bkmult 1.0,1s:1.332370
Info:Lattice Sieving: Total time: 3797.78s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 63.24
Info:Polynomial Selection (root optimized): Rootsieve time: 62.87
Info:Linear Algebra: Total cpu/real time for bwc: 555.58/144.67
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 328.39, WCT time 84.18, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6528 iterations)
Info:Linear Algebra: Lingen CPU time 28.02, WCT time 7.14
Info:Linear Algebra: Mksol: CPU time 181.98,  WCT time 46.72, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3328 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): 5966/32.850/38.270/39.110/0.695
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 3453/32.840/36.800/39.090/1.020
Info:Polynomial Selection (size optimized): Total time: 104.4
Info:Generate Free Relations: Total cpu/real time for freerel: 24.47/6.62562
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 26.31/26.367
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 19.4s
Info:Square Root: Total cpu/real time for sqrt: 46.26/13.796
Info:Quadratic Characters: Total cpu/real time for characters: 7.02/2.77977
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 9.5/8.60729
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 8.399999999999999s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 7784.69/2208.77
Info:root: Cleaning up computation data in /tmp/cado.ji8h4kxg
372088693645633858435580185203225691813 50604427085735888936648127361850615506380142891359354419747401
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)

17×10154+43

c141

name 名前ebina
date 日付September 10, 2022 23:41:54 UTC 2022 年 9 月 11 日 (日) 8 時 41 分 54 秒 (日本時間)
composite number 合成数
170111367930105925292107205149988749439050533311549279754641929538227446522077100439524670103402887981315943406008437382116920361271773584751<141>
prime factors 素因数
3441095091067923696049397978832038303<37>
49435241813475389643930131383769463766221833456847490116349761127165922140596896587129266290340321991217<104>
factorization results 素因数分解の結果
C:\MYDATA\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:2240465202 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 170111367930105925292107205149988749439050533311549279754641929538227446522077100439524670103402887981315943406008437382116920361271773584751 (141 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2240465202
Step 1 took 5469ms
Step 2 took 4000ms
********** Factor found in step 2: 3441095091067923696049397978832038303
Found probable prime factor of 37 digits: 3441095091067923696049397978832038303
Probable prime cofactor 49435241813475389643930131383769463766221833456847490116349761127165922140596896587129266290340321991217 has 104 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)

17×10155+43

c122

name 名前Eric Jeancolas
date 日付September 15, 2022 14:39:56 UTC 2022 年 9 月 15 日 (木) 23 時 39 分 56 秒 (日本時間)
composite number 合成数
72208268924733801687346860777639759805013569147438779266896403543295489805296312508269585624760662695100253549498602956143<122>
prime factors 素因数
322319087437459147861863076667681408293180141<45>
224027281470709235526472718797955616882158082325028140123885891782660863246923<78>
factorization results 素因数分解の結果
72208268924733801687346860777639759805013569147438779266896403543295489805296312508269585624760662695100253549498602956143=322319087437459147861863076667681408293180141*224027281470709235526472718797955616882158082325028140123885891782660863246923

cado polynomial
n: 72208268924733801687346860777639759805013569147438779266896403543295489805296312508269585624760662695100253549498602956143
skew: 0.75
type: snfs
c0: 4
c5: 17
Y0: 10000000000000000000000000000000
Y1: -1
# f(x) = 17*x^5+4
# g(x) = -x+10000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2800000
tasks.lim1 = 2800000
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: 322319087437459147861863076667681408293180141 224027281470709235526472718797955616882158082325028140123885891782660863246923
Info:Square Root: Total cpu/real time for sqrt: 48.01/15.4193
Info:Linear Algebra: Total cpu/real time for bwc: 1122.22/289.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 679.52, WCT time 173.36, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8960 iterations)
Info:Linear Algebra: Lingen CPU time 44.04, WCT time 11.18
Info:Linear Algebra: Mksol: CPU time 374.41,  WCT time 95.58, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4480 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 61.27/17.0271
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 100.52/84.0099
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 77.1s
Info:Square Root: Total cpu/real time for sqrt: 48.01/15.4193
Info:Generate Factor Base: Total cpu/real time for makefb: 1.23/0.704549
Info:Quadratic Characters: Total cpu/real time for characters: 8.97/3.57342
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.05/43.1263
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 43.0s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 91.26/79.3864
Info:Filtering - Merging: Merged matrix has 285995 rows and total weight 48624467 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 57.02/15.7148
Info:Filtering - Merging: Total cpu/real time for replay: 8.78/7.29464
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11682537
Info:Lattice Sieving: Average J: 1894.34 for 185223 special-q, max bucket fill -bkmult 1.0,1s:1.239450
Info:Lattice Sieving: Total time: 23152.8s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 43412.6/12264.3
Info:root: Cleaning up computation data in /tmp/cado.gawc7r6y
322319087437459147861863076667681408293180141 224027281470709235526472718797955616882158082325028140123885891782660863246923
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)

17×10157+43

c136

name 名前Ignacio Santos
date 日付September 16, 2022 14:42:07 UTC 2022 年 9 月 16 日 (金) 23 時 42 分 7 秒 (日本時間)
composite number 合成数
2602442525601360127974911323720687757511959105786222457176031948035012511971901566306192563529253243535575557517998095775777696960921239<136>
prime factors 素因数
319002840521342704987603323154084268141132597400853453<54>
8158054396469379336822065329058509667397959267804099567329106182938216488640382963<82>
factorization results 素因数分解の結果
Number: 1
N=2602442525601360127974911323720687757511959105786222457176031948035012511971901566306192563529253243535575557517998095775777696960921239
  ( 136 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=319002840521342704987603323154084268141132597400853453 (pp54)
 r2=8158054396469379336822065329058509667397959267804099567329106182938216488640382963 (pp82)
Version: Msieve v. 1.52 (SVN 927)
Total time: 13.03 hours.
Scaled time: 100.45 units (timescale=7.710).
Factorization parameters were as follows:
n: 2602442525601360127974911323720687757511959105786222457176031948035012511971901566306192563529253243535575557517998095775777696960921239
m: 10000000000000000000000000000000
deg: 5
c5: 425
c0: 1
skew: 0.30
# Murphy_E = 7.925e-10
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1500000, 2500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 517415 x 517641
Total sieving time: 12.92 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,157.000,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 13.03 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)

17×10158+43

c133

name 名前Norman Powell
date 日付September 16, 2022 14:25:08 UTC 2022 年 9 月 16 日 (金) 23 時 25 分 8 秒 (日本時間)
composite number 合成数
2623241571258064763677289084733866924346850406199640338466345959498813679444423098265934782109852481363517123844792399053494102712043<133>
prime factors 素因数
371905878053361492944014656909389612658482807<45>
7053509304528063890114619467145876109727275427198324404111312867938932196291831407893549<88>
factorization results 素因数分解の結果
n: 2623241571.....4102712043
skew: 15901.391
c0: -873858395528180324014192398
c1: -10790017023892601621123956
c2: -417949941899736729897
c3: 65745185238132811
c4: 69868422030
c5: 25086600
Y0: -32177716883916415106167633
Y1: 3262087965491847193
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.214e-07
# f(x) = 25086600*x^5+69868422030*x^4+65745185238132811*x^
     3-417949941899736729897*x^
         2-10790017023892601621123956*x-
         873858395528180324014192398
# g(x) = 3262087965491847193*x-
     32177716883916415106167633
         
Square Root: finished
Factors: 

       7053509304528063890114619467145876109727275427198324404111312867938932196291831407893549 
        371905878053361492944014656909389612658482807
        
Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 478736/67897.4, (18.86 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.

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)

17×10159+43

c159

name 名前Bob Backstrom
date 日付September 11, 2022 10:42:50 UTC 2022 年 9 月 11 日 (日) 19 時 42 分 50 秒 (日本時間)
composite number 合成数
108974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974359<159>
prime factors 素因数
5838682377963428635156127314508087<34>
18664203996719197759528963969735402132517279267100712256916621313803211003930648502557831157974121466915155921779470111108257<125>
factorization results 素因数分解の結果
Number: n
N=108974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974359  ( 159 digits)
SNFS difficulty: 160 digits.
Divisors found:

Sun Sep 11 20:36:16 2022  p34 factor: 5838682377963428635156127314508087
Sun Sep 11 20:36:16 2022  p125 factor: 18664203996719197759528963969735402132517279267100712256916621313803211003930648502557831157974121466915155921779470111108257
Sun Sep 11 20:36:16 2022  elapsed time 00:06:57 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.303).
Factorization parameters were as follows:
#
# N = 17x10^159+4 = 56(158)8
#
n: 108974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974359
m: 50000000000000000000000000000000
deg: 5
c5: 68
c0: 5
skew: 0.59
# Murphy_E = 6.235e-10
type: snfs
lss: 1
rlim: 3300000
alim: 3300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1648179 hash collisions in 15837325 relations (15212335 unique)
Msieve: matrix is 418285 x 418512 (140.9 MB)

Sieving start time : 2022/09/11 20:04:35
Sieving end time  : 2022/09/11 20:29:00

Total sieving time: 0hrs 24min 25secs.

Total relation processing time: 0hrs 2min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 39sec.

Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,3300000,3300000,27,27,51,51,2.4,2.4,100000
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)

17×10168+43

c154

name 名前Bob Backstrom
date 日付September 14, 2022 02:57:43 UTC 2022 年 9 月 14 日 (水) 11 時 57 分 43 秒 (日本時間)
composite number 合成数
1468000201092732522539659465731917559023101486545132918176348600184056279410728962163627048010404585554600722876243301667608762956365576893399482611543223<154>
prime factors 素因数
305602635796197279769348447912188690322006563916361<51>
4803624148293420449840312493127071445087493254268558441072477117975377394647018407597501107140845567743<103>
factorization results 素因数分解の結果
Number: n
N=1468000201092732522539659465731917559023101486545132918176348600184056279410728962163627048010404585554600722876243301667608762956365576893399482611543223  ( 154 digits)
SNFS difficulty: 168 digits.
Divisors found:

Wed Sep 14 12:47:30 2022  p51 factor: 305602635796197279769348447912188690322006563916361
Wed Sep 14 12:47:30 2022  p103 factor: 4803624148293420449840312493127071445087493254268558441072477117975377394647018407597501107140845567743
Wed Sep 14 12:47:30 2022  elapsed time 00:10:58 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.332).
Factorization parameters were as follows:
#
# N = 17x10^168+4 = 56(167)8
#
n: 1468000201092732522539659465731917559023101486545132918176348600184056279410728962163627048010404585554600722876243301667608762956365576893399482611543223
m: 1000000000000000000000000000000000
deg: 5
c5: 4250
c0: 1
skew: 0.19
# Murphy_E = 2.494e-10
type: snfs
lss: 1
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 7850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1431192 hash collisions in 12909279 relations (12237531 unique)
Msieve: matrix is 662209 x 662434 (230.2 MB)

Sieving start time : 2022/09/14 11:45:09
Sieving end time  : 2022/09/14 12:36:06

Total sieving time: 0hrs 50min 57secs.

Total relation processing time: 0hrs 6min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 40sec.

Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

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)

17×10169+43

c125

name 名前Norman Powell
date 日付September 18, 2022 22:06:59 UTC 2022 年 9 月 19 日 (月) 7 時 6 分 59 秒 (日本時間)
composite number 合成数
14759167736988051263826759534599870089531252779060811472605508303603796562659900902961519497067720349508749147056448745765389<125>
prime factors 素因数
27629131902538327677085343630498357899353978471911034616897<59>
534188616169735883544687106718091380467424300585116089858646866637<66>
factorization results 素因数分解の結果
n: 147591......765389
skew: 189679.64
c0: 194202057830329293614255983212
c1: 43523529135761418021477398
c2: 223088445113150805987
c3: -2362237484642687
c4: 3176055960
c5: 10800
Y0: -1748985652825387282200560
Y1: 12238273715580829
# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=1.208e+13) = 3.555e-06
# f(x) = 10800*x^5+3176055960*x^4-2362237484642687*x^3+223088445113150805987*
   x^2+43523529135761418021477398*x+194202057830329293614255983212
# g(x) = 12238273715580829*x-1748985652825387282200560
Factors: 
       534188616169735883544687106718091380467424300585116089858646866637 
        27629131902538327677085343630498357899353978471911034616897
Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 103720/15985.9, (4.44 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.

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)

17×10171+43

c130

name 名前Bob Backstrom
date 日付September 17, 2022 23:36:07 UTC 2022 年 9 月 18 日 (日) 8 時 36 分 7 秒 (日本時間)
composite number 合成数
1059700573524343828316500388931031587993436808007213752656683229666671862634852713656878873380619187788205031286082922549633434011<130>
prime factors 素因数
147599969629935947514952314715836883892812883604624671<54>
7179544658316903584537522246306713198437705761326259986344789562037170497541<76>
factorization results 素因数分解の結果
Number: n
N=1059700573524343828316500388931031587993436808007213752656683229666671862634852713656878873380619187788205031286082922549633434011  ( 130 digits)
Divisors found:

Sun Sep 18 09:32:52 2022  p54 factor: 147599969629935947514952314715836883892812883604624671
Sun Sep 18 09:32:52 2022  p76 factor: 7179544658316903584537522246306713198437705761326259986344789562037170497541
Sun Sep 18 09:32:52 2022  elapsed time 00:20:40 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.325).
Factorization parameters were as follows:
#
# Polynomial selection complete  --  17x10^171+4 = 56(170)8
#

n: 1059700573524343828316500388931031587993436808007213752656683229666671862634852713656878873380619187788205031286082922549633434011

type: gnfs

Y0: -19668720556534419399377872
Y1: 4709765758871
c0: 400788951714817599661541868206061
c1: 4433332519112400627720369603
c2: -842224129040843305142
c3: -7317496948567613
c4: 408322651
c5: 360

# skew 1703512.75, size 1.875e-12, alpha -6.798, combined = 8.739e-11 rroots = 5

skew: 1703512.75

rlim: 2800000
alim: 2800000
lpbr: 26
lpba: 26
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 50/50
Sieved  special-q in [100000, 35800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1238118 hash collisions in 7188762 relations (6075340 unique)
Msieve: matrix is 901648 x 901873 (325.0 MB)

Sieving start time : 2022/09/18 05:39:59
Sieving end time  : 2022/09/18 09:11:58

Total sieving time: 3hrs 31min 59secs.

Total relation processing time: 0hrs 13min 52sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 57sec.

Prototype def-par.txt line would be:
gnfs,129,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2800000,2800000,26,26,50,50,2.6,2.6,60000
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)

17×10173+43

c130

name 名前Bob Backstrom
date 日付September 21, 2022 02:59:33 UTC 2022 年 9 月 21 日 (水) 11 時 59 分 33 秒 (日本時間)
composite number 合成数
2416728088887570861819010502605810770477913401758721972324499099931904148797389096646956014284122122346812800472715372587660508903<130>
prime factors 素因数
44546080574257563196436371932955725736445743495007344543905511<62>
54252317100242433140546503710253795669059040753913739951558051100673<68>
factorization results 素因数分解の結果
Number: n
N=2416728088887570861819010502605810770477913401758721972324499099931904148797389096646956014284122122346812800472715372587660508903  ( 130 digits)
SNFS difficulty: 173 digits.
Divisors found:

Wed Sep 21 12:56:05 2022  p62 factor: 44546080574257563196436371932955725736445743495007344543905511
Wed Sep 21 12:56:05 2022  p68 factor: 54252317100242433140546503710253795669059040753913739951558051100673
Wed Sep 21 12:56:05 2022  elapsed time 00:16:42 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.301).
Factorization parameters were as follows:
#
# N = 17x10^173+4 = 56(172)8
#
n: 2416728088887570861819010502605810770477913401758721972324499099931904148797389096646956014284122122346812800472715372587660508903
m: 10000000000000000000000000000000000
deg: 5
c5: 4250
c0: 1
skew: 0.19
# Murphy_E = 1.58e-10
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1493856 hash collisions in 13263288 relations (12548551 unique)
Msieve: matrix is 887448 x 887673 (308.4 MB)

Sieving start time : 2022/09/21 10:48:03
Sieving end time  : 2022/09/21 12:39:07

Total sieving time: 1hrs 51min 4secs.

Total relation processing time: 0hrs 12min 12sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 6sec.

Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

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 12:17:43 UTC 2022 年 9 月 20 日 (火) 21 時 17 分 43 秒 (日本時間)

17×10174+43

c84

name 名前Eric Jeancolas
date 日付September 9, 2022 19:56:47 UTC 2022 年 9 月 10 日 (土) 4 時 56 分 47 秒 (日本時間)
composite number 合成数
193993587634847329339107586590961163611127620645962181605997428990168309275025578659<84>
prime factors 素因数
57118585521353195135813950393329786379<38>
3396330386408550398231262460992699345976069321<46>
factorization results 素因数分解の結果
193993587634847329339107586590961163611127620645962181605997428990168309275025578659 = 57118585521353195135813950393329786379 * 3396330386408550398231262460992699345976069321

Time elapsed: 0d 0h 8m 29.2s

Modular multiplications:

ECM: 78622512
Probable prime checking: 1411
SIQS: 156919
Sum of squares: 2522
SIQS:

1143268 polynomials sieved
542847 sets of trial divisions
18243 smooth congruences found (1 out of every 5468233 values)
204843 partial congruences found (1 out of every 486992 values)
19047 useful partial congruences
Size of binary matrix: 34467 × 33527
Timings:

Probable prime test of 3 numbers: 0d 0h 0m 0.0s
Factoring 1 number using ECM: 0d 0h 0m 14.4s
Factoring 1 number using SIQS: 0d 0h 8m 14.8s
software ソフトウェア
Dario Alpern's calculator
execution environment 実行環境
Windows 10 Business 21H2
Intel(R) Core(TM) i7-9750H CPU @ 2.60GHz   2.59 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)

17×10175+43

c146

name 名前Ignacio Santos
date 日付September 27, 2022 14:56:34 UTC 2022 年 9 月 27 日 (火) 23 時 56 分 34 秒 (日本時間)
composite number 合成数
27871119393319217397131083960084462968378729183109912177961246007965469431594762484163250740186250628935709731975020971757019529853445461892413997<146>
prime factors 素因数
3769238758081989147810350249067160367053403219<46>
7394362942267336167748848922817207568768806316844769854614122039023562221969606830056357215180244863<100>
factorization results 素因数分解の結果
Number: 1
N=27871119393319217397131083960084462968378729183109912177961246007965469431594762484163250740186250628935709731975020971757019529853445461892413997
  ( 146 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=3769238758081989147810350249067160367053403219 (pp46)
 r2=7394362942267336167748848922817207568768806316844769854614122039023562221969606830056357215180244863 (pp100)
Version: Msieve v. 1.52 (SVN 927)
Total time: 48.48 hours.
Scaled time: 379.36 units (timescale=7.825).
Factorization parameters were as follows:
n: 27871119393319217397131083960084462968378729183109912177961246007965469431594762484163250740186250628935709731975020971757019529853445461892413997
m: 100000000000000000000000000000000000
deg: 5
c5: 17
c0: 4
skew: 0.75
# Murphy_E = 1.559e-10
type: snfs
lss: 1
rlim: 6100000
alim: 6100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3050000, 6250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1186149 x 1186378
Total sieving time: 48.14 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.25 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,176.000,5,0,0,0,0,0,0,0,0,6100000,6100000,28,28,53,53,2.5,2.5,100000
total time: 48.48 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 12:27:22 UTC 2022 年 9 月 20 日 (火) 21 時 27 分 22 秒 (日本時間)

17×10180+43

c124

name 名前Eric Jeancolas
date 日付September 11, 2022 17:49:21 UTC 2022 年 9 月 12 日 (月) 2 時 49 分 21 秒 (日本時間)
composite number 合成数
8652930167916348064502286681322762558933479629648134821513244022976568467090232069199920468486426914965388156462687638735099<124>
prime factors 素因数
430557204276647165006712755044311556872667374875767<51>
20097051174543942439922287900558206529284407855362692055590993383677527197<74>
factorization results 素因数分解の結果
8652930167916348064502286681322762558933479629648134821513244022976568467090232069199920468486426914965388156462687638735099=430557204276647165006712755044311556872667374875767*20097051174543942439922287900558206529284407855362692055590993383677527197

cado polynomial
n: 8652930167916348064502286681322762558933479629648134821513244022976568467090232069199920468486426914965388156462687638735099
skew: 49976.109
c0: 10993361656340727318365118870
c1: 1728133442504616336706063
c2: 42592649823162699840
c3: -2073482180869903
c4: -9723812510
c5: 114000
Y0: -946498649494454572133152
Y1: 8708792933144597
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.773e-07
# f(x) = 114000*x^5-9723812510*x^4-2073482180869903*x^3+42592649823162699840*x^2+1728133442504616336706063*x+10993361656340727318365118870
# g(x) = 8708792933144597*x-946498649494454572133152

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: 430557204276647165006712755044311556872667374875767 20097051174543942439922287900558206529284407855362692055590993383677527197
Info:Square Root: Total cpu/real time for sqrt: 583.78/171.761
Info:Filtering - Singleton removal: Total cpu/real time for purge: 73.69/83.0399
Info:Filtering - Merging: Merged matrix has 801514 rows and total weight 136340624 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 165.08/47.4495
Info:Filtering - Merging: Total cpu/real time for replay: 30.07/24.9392
Info:Generate Factor Base: Total cpu/real time for makefb: 8.57/2.34264
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11758627
Info:Lattice Sieving: Average J: 3783.75 for 200307 special-q, max bucket fill -bkmult 1.0,1s:1.263140
Info:Lattice Sieving: Total time: 59442.6s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2618.6
Info:Polynomial Selection (root optimized): Rootsieve time: 2616.11
Info:Linear Algebra: Total cpu/real time for bwc: 9635.16/2477.18
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 6046.48, WCT time 1546.74, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25088 iterations)
Info:Linear Algebra: Lingen CPU time 147.55, WCT time 37.49
Info:Linear Algebra: Mksol: CPU time 3315.88,  WCT time 847.39, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12544 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): 20252/36.710/44.146/48.790/0.883
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16130/35.730/39.505/44.890/0.912
Info:Polynomial Selection (size optimized): Total time: 1975.5
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 143.88/129.228
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 113.99999999999999s
Info:Square Root: Total cpu/real time for sqrt: 583.78/171.761
Info:Generate Free Relations: Total cpu/real time for freerel: 127.15/33.1088
Info:Quadratic Characters: Total cpu/real time for characters: 30.34/12.1377
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 50.59/53.8878
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 53.6s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 126008/34088.3
Info:root: Cleaning up computation data in /tmp/cado.sfd9xa8o
430557204276647165006712755044311556872667374875767 20097051174543942439922287900558206529284407855362692055590993383677527197
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)
403e62350Ignacio SantosSeptember 11, 2022 13:50:40 UTC 2022 年 9 月 11 日 (日) 22 時 50 分 40 秒 (日本時間)

17×10181+43

c133

name 名前Norman Powell
date 日付September 29, 2022 14:24:21 UTC 2022 年 9 月 29 日 (木) 23 時 24 分 21 秒 (日本時間)
composite number 合成数
3128572953129183307992241303511640819623266683866297909094785903268539910629979908086174252281834171458766598239608369036484388411567<133>
prime factors 素因数
4581929466989773163736259183481727183408319<43>
682806877685218252647118745717405729258812930177081355429347650573021561803183626225074193<90>
factorization results 素因数分解の結果
n: 312857......411567
skew: 150428.433
c0: -1260684469001085931811730045948
c1: 67404190365166762632347273
c2: -1165883998995038735296
c3: -8627413654250929
c4: 32535084948
c5: 62280
Y0: -48852471941586412174617518
Y1: 8150924165044453781
# MurphyE (Bf=1.074e+09,Bg=1.074e+09,area=4.698e+13) = 2.541e-06
# f(x) = 62280*x^5+32535084948*x^4-8627413654250929*
   x^3-1165883998995038735296*x^2+67404190365166762632347273*
        x-1260684469001085931811730045948
# g(x) = 8150924165044453781*x-48852471941586412174617518
Factors: 
    682806877685218252647118745717405729258812930177081355429347650573021561803183626225074193
        4581929466989773163736259183481727183408319
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.

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 14:39:28 UTC 2022 年 9 月 18 日 (日) 23 時 39 分 28 秒 (日本時間)

17×10182+43

c166

name 名前Bob Backstrom
date 日付September 14, 2022 06:48:18 UTC 2022 年 9 月 14 日 (水) 15 時 48 分 18 秒 (日本時間)
composite number 合成数
1563667159944484204165560571264742748088488477224737850004562282425256196828017282542093870554383248559471497351147519435280182451030712550618143865705936143614587191<166>
prime factors 素因数
7285348632670449794995572586101580865189<40>
214631754605725831830117920031670927656376274073719517412486924823529062987802185020414061605892076682883764558486031356757419<126>
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 1563667159944484204165560571264742748088488477224737850004562282425256196828017282542093870554383248559471497351147519435280182451030712550618143865705936143614587191 (166 digits)
Using B1=12840000, B2=35135665120, polynomial Dickson(12), sigma=1:4109752732
Step 1 took 30073ms
Step 2 took 11667ms
********** Factor found in step 2: 7285348632670449794995572586101580865189
Found prime factor of 40 digits: 7285348632670449794995572586101580865189
Prime cofactor 214631754605725831830117920031670927656376274073719517412486924823529062987802185020414061605892076682883764558486031356757419 has 126 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)

17×10183+43

c158

name 名前Bob Backstrom
date 日付September 14, 2022 14:44:31 UTC 2022 年 9 月 14 日 (水) 23 時 44 分 31 秒 (日本時間)
composite number 合成数
18484978110133507857976534401670514152679433045998760230782910079786506885381529051245812166858497459770493199178624893238650687658977370339420801969968166731<158>
prime factors 素因数
7605377783928583756015592441993937645067<40>
2430514122414183290957267972865902802092958227253138967907772546794687394379464932229234022167692717228392918278726593<118>
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 18484978110133507857976534401670514152679433045998760230782910079786506885381529051245812166858497459770493199178624893238650687658977370339420801969968166731 (158 digits)
Using B1=16630000, B2=58559116990, polynomial Dickson(12), sigma=1:3051328869
Step 1 took 38583ms
********** Factor found in step 1: 7605377783928583756015592441993937645067
Found prime factor of 40 digits: 7605377783928583756015592441993937645067
Prime cofactor 2430514122414183290957267972865902802092958227253138967907772546794687394379464932229234022167692717228392918278726593 has 118 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)

17×10184+43

c128

name 名前Ignacio Santos
date 日付September 11, 2022 13:12:40 UTC 2022 年 9 月 11 日 (日) 22 時 12 分 40 秒 (日本時間)
composite number 合成数
42804726433856083241544149534942790694816433333900535027719841110301772864398724988059471072344836945549668063099496131643696483<128>
prime factors 素因数
107261068001456448958870733909771965255721<42>
399070485045653819604736438418013473391610288562482876652634306724076200032764609546923<87>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2882260186
Step 1 took 4859ms
Step 2 took 2969ms
********** Factor found in step 2: 107261068001456448958870733909771965255721
Found prime factor of 42 digits: 107261068001456448958870733909771965255721
Prime cofactor 399070485045653819604736438418013473391610288562482876652634306724076200032764609546923 has 87 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)

17×10185+43

c177

name 名前Bob Backstrom
date 日付September 15, 2022 18:59:54 UTC 2022 年 9 月 16 日 (金) 3 時 59 分 54 秒 (日本時間)
composite number 合成数
106753726505896393507484414971346467126750661990721824643253831720736533666526734635518454186266892618941625515296689852463313139313639967015349129417997539565732386461337573941<177>
prime factors 素因数
1127903914026180360428803980493287691043810972491139160813956620787610144912529819<82>
94647890816183902002214910536652340101881683414050658513744058676217307180812991906666700669039<95>
factorization results 素因数分解の結果
Number: n
N=106753726505896393507484414971346467126750661990721824643253831720736533666526734635518454186266892618941625515296689852463313139313639967015349129417997539565732386461337573941  ( 177 digits)
SNFS difficulty: 186 digits.
Divisors found:

Fri Sep 16 03:17:47 2022  p82 factor: 1127903914026180360428803980493287691043810972491139160813956620787610144912529819
Fri Sep 16 03:17:47 2022  p95 factor: 94647890816183902002214910536652340101881683414050658513744058676217307180812991906666700669039
Fri Sep 16 03:17:47 2022  elapsed time 00:25:00 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.339).
Factorization parameters were as follows:
#
# N = 17x10^185+4 = 56(184)8
#
n: 106753726505896393507484414971346467126750661990721824643253831720736533666526734635518454186266892618941625515296689852463313139313639967015349129417997539565732386461337573941
m: 10000000000000000000000000000000000000
deg: 5
c5: 17
c0: 4
skew: 0.75
# Murphy_E = 6.132e-11
type: snfs
lss: 1
rlim: 8900000
alim: 8900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8900000/8900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 10050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2984784 hash collisions in 28743391 relations (27524277 unique)
Msieve: matrix is 1017317 x 1017544 (351.4 MB)

Sieving start time : 2022/09/15 23:46:09
Sieving end time  : 2022/09/16 02:52:20

Total sieving time: 3hrs 6min 11secs.

Total relation processing time: 0hrs 16min 57sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 5sec.

Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8900000,8900000,28,28,54,54,2.5,2.5,100000
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)

17×10187+43

c168

name 名前Bob Backstrom
date 日付September 20, 2022 09:41:46 UTC 2022 年 9 月 20 日 (火) 18 時 41 分 46 秒 (日本時間)
composite number 合成数
110331093741857366774518562538136675308139791618283363416439173431251755412659239068507013427998420211778279557764120279605757640732744426973150416525821747189034944477<168>
prime factors 素因数
1208691013943801396284973183405652229611526694029517<52>
20937441080693224792451141660683629864019276936791703<53>
4359724316452698060180954185757625621705348446510971147016778327<64>
factorization results 素因数分解の結果
Number: n
N=110331093741857366774518562538136675308139791618283363416439173431251755412659239068507013427998420211778279557764120279605757640732744426973150416525821747189034944477  ( 168 digits)
SNFS difficulty: 187 digits.
Divisors found:

Tue Sep 20 19:32:31 2022  found factor: 1208691013943801396284973183405652229611526694029517
Tue Sep 20 19:35:12 2022  found factor: 1208691013943801396284973183405652229611526694029517
Tue Sep 20 19:36:33 2022  p52 factor: 1208691013943801396284973183405652229611526694029517
Tue Sep 20 19:36:33 2022  p53 factor: 20937441080693224792451141660683629864019276936791703
Tue Sep 20 19:36:33 2022  p64 factor: 4359724316452698060180954185757625621705348446510971147016778327
Tue Sep 20 19:36:33 2022  elapsed time 00:32:49 (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 = 17x10^187+4 = 56(186)8
#
n: 110331093741857366774518562538136675308139791618283363416439173431251755412659239068507013427998420211778279557764120279605757640732744426973150416525821747189034944477
m: 10000000000000000000000000000000000000
deg: 5
c5: 425
c0: 1
skew: 0.30
# Murphy_E = 5.07e-11
type: snfs
lss: 1
rlim: 9400000
alim: 9400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9400000/9400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3157296 hash collisions in 28778284 relations (27341121 unique)
Msieve: matrix is 1101637 x 1101864 (380.5 MB)

Sieving start time : 2022/09/20 15:35:07
Sieving end time  : 2022/09/20 19:02:50

Total sieving time: 3hrs 27min 43secs.

Total relation processing time: 0hrs 20min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 24sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9400000,9400000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

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 15, 2022 12:35:35 UTC 2022 年 9 月 15 日 (木) 21 時 35 分 35 秒 (日本時間)

17×10188+43

c169

name 名前Bob Backstrom
date 日付September 19, 2022 05:58:03 UTC 2022 年 9 月 19 日 (月) 14 時 58 分 3 秒 (日本時間)
composite number 合成数
2011532358344312047384230301449749432692226205200990906944574868675258318405741598417520777863278178657888987887203420859816152490845425371470332920119366100622317592687<169>
prime factors 素因数
8152811513243144724499251635058283179335794252663717371166466078316213001<73>
246728672075497947598186691068785725964376945341335368626426019884119497399990896987769486261687<96>
factorization results 素因数分解の結果
Number: n
N=2011532358344312047384230301449749432692226205200990906944574868675258318405741598417520777863278178657888987887203420859816152490845425371470332920119366100622317592687  ( 169 digits)
SNFS difficulty: 188 digits.
Divisors found:

Mon Sep 19 15:52:16 2022  p73 factor: 8152811513243144724499251635058283179335794252663717371166466078316213001
Mon Sep 19 15:52:16 2022  p96 factor: 246728672075497947598186691068785725964376945341335368626426019884119497399990896987769486261687
Mon Sep 19 15:52:16 2022  elapsed time 00:34:30 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.316).
Factorization parameters were as follows:
#
# N = 17x10^188+4 = 56(187)8
#
n: 2011532358344312047384230301449749432692226205200990906944574868675258318405741598417520777863278178657888987887203420859816152490845425371470332920119366100622317592687
m: 10000000000000000000000000000000000000
deg: 5
c5: 4250
c0: 1
skew: 0.19
# Murphy_E = 3.909e-11
type: snfs
lss: 1
rlim: 9700000
alim: 9700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9700000/9700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3332303 hash collisions in 28326727 relations (26618779 unique)
Msieve: matrix is 1218250 x 1218477 (424.1 MB)

Sieving start time : 2022/09/19 10:50:04
Sieving end time  : 2022/09/19 15:17:17

Total sieving time: 4hrs 27min 13secs.

Total relation processing time: 0hrs 25min 44sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 33sec.

Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9700000,9700000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

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 15, 2022 13:20:21 UTC 2022 年 9 月 15 日 (木) 22 時 20 分 21 秒 (日本時間)

17×10192+43

c169

name 名前Bob Backstrom
date 日付September 19, 2022 08:23:37 UTC 2022 年 9 月 19 日 (月) 17 時 23 分 37 秒 (日本時間)
composite number 合成数
6319837899716910266407572210279746277122917802535852413876487780836150006406596138273502793240940292225377141127357355708629418297869867602066435593536922207792511866691<169>
prime factors 素因数
20083289318139905982567457573637404891349<41>
314681414961672587395409126992828329544159370508356263226739559208215297798007343168308128379331702694055660080443295721081387959<129>
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 6319837899716910266407572210279746277122917802535852413876487780836150006406596138273502793240940292225377141127357355708629418297869867602066435593536922207792511866691 (169 digits)
Using B1=23130000, B2=96188942866, polynomial Dickson(12), sigma=1:3311212393
Step 1 took 55213ms
Step 2 took 20052ms
********** Factor found in step 2: 20083289318139905982567457573637404891349
Found prime factor of 41 digits: 20083289318139905982567457573637404891349
Prime cofactor 314681414961672587395409126992828329544159370508356263226739559208215297798007343168308128379331702694055660080443295721081387959 has 129 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)

17×10194+43

c187

name 名前Bob Backstrom
date 日付September 23, 2022 01:51:19 UTC 2022 年 9 月 23 日 (金) 10 時 51 分 19 秒 (日本時間)
composite number 合成数
8918357099286097055605452889177326044454505750210415520526627098119575947018831394304132806550111503595766168399104748034693122584790860434069660175130932499011583728778533208090221541853<187>
prime factors 素因数
1364880435074090310491627872907920027592231798839200223095410970026622991671293560950617851<91>
6534167294149819483622133398918819659213010657353801292185063872909977180170525421216755957783303<97>
factorization results 素因数分解の結果
Number: n
N=8918357099286097055605452889177326044454505750210415520526627098119575947018831394304132806550111503595766168399104748034693122584790860434069660175130932499011583728778533208090221541853  ( 187 digits)
SNFS difficulty: 195 digits.
Divisors found:

Fri Sep 23 11:45:43 2022  p91 factor: 1364880435074090310491627872907920027592231798839200223095410970026622991671293560950617851
Fri Sep 23 11:45:43 2022  p97 factor: 6534167294149819483622133398918819659213010657353801292185063872909977180170525421216755957783303
Fri Sep 23 11:45:43 2022  elapsed time 00:56:15 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 17x10^194+4 = 56(193)8
#
n: 8918357099286097055605452889177326044454505750210415520526627098119575947018831394304132806550111503595766168399104748034693122584790860434069660175130932499011583728778533208090221541853
m: 500000000000000000000000000000000000000
deg: 5
c5: 68
c0: 5
skew: 0.59
# Murphy_E = 2.44e-11
type: snfs
lss: 1
rlim: 12600000
alim: 12600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12600000/12600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3301486 hash collisions in 28511833 relations (26859415 unique)
Msieve: matrix is 1546689 x 1546913 (538.3 MB)

Sieving start time : 2022/09/23 04:38:47
Sieving end time  : 2022/09/23 10:48:32

Total sieving time: 6hrs 9min 45secs.

Total relation processing time: 0hrs 46min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 57sec.

Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12600000,12600000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric 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 21, 2022 08:18:29 UTC 2022 年 9 月 21 日 (水) 17 時 18 分 29 秒 (日本時間)

17×10198+43

c191

name 名前Bob Backstrom
date 日付September 30, 2022 03:38:56 UTC 2022 年 9 月 30 日 (金) 12 時 38 分 56 秒 (日本時間)
composite number 合成数
14228959486111318547020482165333458360689344942999173317541799736314279588132757183010596928855534020499671975611978591623147728877441930921629157740045233293047968437208236231984308450790297<191>
prime factors 素因数
4524800782991796097999720076420147928719233951837<49>
3144659879744614389247050090793264944027133431659085010858785090554072256842565524938184110077327121255963007389799566869034890747601319529581<142>
factorization results 素因数分解の結果
Number: n
N=14228959486111318547020482165333458360689344942999173317541799736314279588132757183010596928855534020499671975611978591623147728877441930921629157740045233293047968437208236231984308450790297  ( 191 digits)
SNFS difficulty: 199 digits.
Divisors found:

Fri Sep 30 12:56:07 2022  p49 factor: 4524800782991796097999720076420147928719233951837
Fri Sep 30 12:56:07 2022  p142 factor: 3144659879744614389247050090793264944027133431659085010858785090554072256842565524938184110077327121255963007389799566869034890747601319529581
Fri Sep 30 12:56:07 2022  elapsed time 01:12:48 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 17x10^198+4 = 56(197)8
#
n: 14228959486111318547020482165333458360689344942999173317541799736314279588132757183010596928855534020499671975611978591623147728877441930921629157740045233293047968437208236231984308450790297
m: 1000000000000000000000000000000000
deg: 6
c6: 17
c0: 4
skew: 0.79
# Murphy_E = 1.598e-11
type: snfs
lss: 1
rlim: 14600000
alim: 14600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14600000/14600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3756049 hash collisions in 28955369 relations (27251386 unique)
Msieve: matrix is 1767934 x 1768159 (616.9 MB)

Sieving start time : 2022/09/30 02:24:30
Sieving end time  : 2022/09/30 11:42:28

Total sieving time: 9hrs 17min 58secs.

Total relation processing time: 1hrs 1min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 40sec.

Prototype def-par.txt line would be:
snfs,199,6,0,0,0,0,0,0,0,0,14600000,14600000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

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

17×10202+43

c163

name 名前Dmitry Domanov
date 日付September 20, 2022 13:06:30 UTC 2022 年 9 月 20 日 (火) 22 時 6 分 30 秒 (日本時間)
composite number 合成数
1101185155250983556986777031988847390423906802370424937115785100610852842975599502842382104343565131675916674336991976882855651717302791094473864838093608266860727<163>
prime factors 素因数
766041354929280990738691241609936070571<39>
1437500923631782514037029964033555258491794182371410886856701549728452759657444184697996756813440970581953714420600756217637<124>
factorization results 素因数分解の結果
GPU: factor 766041354929280990738691241609936070571 found in Step 1 with curve 1767 (-sigma 3:43573652)
Computing 1792 Step 1 took 280ms of CPU time / 178443ms of GPU time
Throughput: 10.042 curves per second (on average 99.58ms per Step 1)
********** Factor found in step 1: 766041354929280990738691241609936070571
Found prime factor of 39 digits: 766041354929280990738691241609936070571
Prime cofactor 1437500923631782514037029964033555258491794182371410886856701549728452759657444184697996756813440970581953714420600756217637 has 124 digits
Peak memory usage: 9428MB

ECM

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

17×10205+43

c135

name 名前Norman Powell
date 日付September 30, 2022 13:55:07 UTC 2022 年 9 月 30 日 (金) 22 時 55 分 7 秒 (日本時間)
composite number 合成数
575062643930973106608620263002896939813750691784722440753586374293187261754617088857021815401806126727179668078822675097411537499267161<135>
prime factors 素因数
1335540808925258756491227684953542299568425157<46>
430584105021650070786455618623172000212247345435956994751778459682814559660451293737495173<90>
factorization results 素因数分解の結果
n: 575062......9267161
skew: 63745.991
c0: 1147715016334593095885838799740
c1: 55200940736323510383983002
c2: -1886612024558538744218
c3: -15441601802989529
c4: 399293414040
c5: 516600
Y0: -94493194575544881827522025
Y1: 161498084237788953271
# MurphyE (Bf=1.074e+09,Bg=1.074e+09,area=4.698e+13) = 2.074e-06
# f(x) = 516600*x^5+399293414040*x^4-15441601802989529*
    x^3-1886612024558538744218*x^2+55200940736323510383983002*
        x+1147715016334593095885838799740
# g(x) = 161498084237788953271*x-94493194575544881827522025
Factors: 
  1335540808925258756491227684953542299568425157 
        430584105021650070786455618623172000212247345435956994751778459682814559660451293737495173
Total elapsed time for entire Complete Factorization: 61254.1, (17.02 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

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 13:54:22 UTC 2022 年 9 月 11 日 (日) 22 時 54 分 22 秒 (日本時間)
4511e64480Ignacio SantosSeptember 21, 2022 10:11:05 UTC 2022 年 9 月 21 日 (水) 19 時 11 分 5 秒 (日本時間)

17×10207+43

c186

name 名前Dmitry Domanov
date 日付September 20, 2022 16:25:22 UTC 2022 年 9 月 21 日 (水) 1 時 25 分 22 秒 (日本時間)
composite number 合成数
245532989474954496787790167819619962042778048444179132048852709388368390411376675194416429395111700586118774201572345716718421492918799005827909945343245932209296835977595479848870484833<186>
prime factors 素因数
47953693730816593134682559926403785301917<41>
composite cofactor 合成数の残り
5120210152177851187385263994938664333923821895238012584768358775506988831564096595327678992986354448525809414867978598186273057998683239530297749<145>
factorization results 素因数分解の結果
GPU: factor 47953693730816593134682559926403785301917 found in Step 1 with curve 1017 (-sigma 3:-2101944785)
Computing 1792 Step 1 took 188ms of CPU time / 178290ms of GPU time
Throughput: 10.051 curves per second (on average 99.49ms per Step 1)
********** Factor found in step 1: 47953693730816593134682559926403785301917
Found prime factor of 41 digits: 47953693730816593134682559926403785301917
Composite cofactor 5120210152177851187385263994938664333923821895238012584768358775506988831564096595327678992986354448525809414867978598186273057998683239530297749 has 145 digits
Peak memory usage: 9428MB

c145

name 名前Dmitry Domanov
date 日付September 24, 2022 16:32:08 UTC 2022 年 9 月 25 日 (日) 1 時 32 分 8 秒 (日本時間)
composite number 合成数
5120210152177851187385263994938664333923821895238012584768358775506988831564096595327678992986354448525809414867978598186273057998683239530297749<145>
prime factors 素因数
508931707163948628242058503102419<33>
composite cofactor 合成数の残り
10060701819327623313031502373500393862620288768005507871417124867635955539650034491614713207901572715576212654071<113>
factorization results 素因数分解の結果
Resuming ECM residue saved by @ec3345abc87d with GMP-ECM 7.0.5-dev on Tue Sep 20 16:17:45 2022 
Input number is 5120210152177851187385263994938664333923821895238012584768358775506988831564096595327678992986354448525809414867978598186273057998683239530297749 (145 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2193021575
Step 1 took 0ms
Step 2 took 3469ms
********** Factor found in step 2: 508931707163948628242058503102419
Found prime factor of 33 digits: 508931707163948628242058503102419
Composite cofactor 10060701819327623313031502373500393862620288768005507871417124867635955539650034491614713207901572715576212654071 has 113 digits

c113

name 名前Bob Backstrom
date 日付September 27, 2022 19:24:33 UTC 2022 年 9 月 28 日 (水) 4 時 24 分 33 秒 (日本時間)
composite number 合成数
10060701819327623313031502373500393862620288768005507871417124867635955539650034491614713207901572715576212654071<113>
prime factors 素因数
29001767931563835363640538859550538576557409<44>
346899604295438186557525038469860340145941597718127189045194822853719<69>
factorization results 素因数分解の結果
Number: n
N=10060701819327623313031502373500393862620288768005507871417124867635955539650034491614713207901572715576212654071  ( 113 digits)
Divisors found:

Wed Sep 28 05:19:19 2022  p44 factor: 29001767931563835363640538859550538576557409
Wed Sep 28 05:19:19 2022  p69 factor: 346899604295438186557525038469860340145941597718127189045194822853719
Wed Sep 28 05:19:19 2022  elapsed time 00:04:59 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.334).
Factorization parameters were as follows:
#
# Msieve: Polynomial selection
#
# N = 17x10^207+4 = 56(206)8 n(113 digits)
# 

n: 10060701819327623313031502373500393862620288768005507871417124867635955539650034491614713207901572715576212654071

Y0: -11089319144334143258706
Y1: 1746113694049
c0: 327468762389166097917145453525
c1: 7229539549334477730302527
c2: 19414221927885615099
c3: -58607865886363
c4: -41564176
c5: 60

#
# skew 539662.10, size 1.135e-10, alpha -7.153, combined = 8.366e-10 rroots = 5
#
skew: 539662.10
type: gnfs
rlim: 2600000
alim: 2600000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 504611 hash collisions in 5986144 relations (5713691 unique)
Msieve: matrix is 311720 x 311945 (110.2 MB)

Sieving start time : 2022/09/28 05:12:15
Sieving end time  : 2022/09/28 05:14:06

Total sieving time: 0hrs 1min 51secs.

Total relation processing time: 0hrs 2min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 10sec.

Prototype def-par.txt line would be:
gnfs,112,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2600000,2600000,26,26,49,49,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric 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 20, 2022 16:25:13 UTC 2022 年 9 月 21 日 (水) 1 時 25 分 13 秒 (日本時間)

17×10208+43

c170

composite cofactor 合成数の残り
30637889861274169844868289514252231622125392435531223172390930950249748760039245317993666504772505067754356550554984046846886290490465633240806220398902015984443238488811<170>

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 14:36:54 UTC 2022 年 11 月 3 日 (木) 23 時 36 分 54 秒 (日本時間)

17×10209+43

c187

composite cofactor 合成数の残り
1734599858316817961709050839640238044224353343039486374074359900241790749569392740661776250675497865118538650479828586840931559601443700920093351838461494973377613097799597415562120203403<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 14:36:58 UTC 2022 年 11 月 3 日 (木) 23 時 36 分 58 秒 (日本時間)

17×10210+43

c187

composite cofactor 合成数の残り
1819541908449618176757355060323335186919486626041554137641532298413741386316320599707497339876989627962884821794063816428714259564060708813435362565791829867188892940744321564724320009173<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 14:37:01 UTC 2022 年 11 月 3 日 (木) 23 時 37 分 1 秒 (日本時間)

17×10211+43

c207

name 名前Dmitry Domanov
date 日付September 21, 2022 13:08:07 UTC 2022 年 9 月 21 日 (水) 22 時 8 分 7 秒 (日本時間)
composite number 合成数
719594995005164152317095883916628570461048746211543996884576962801171669968337820219772777298047781107668342899713855166692064137078613636748446521393135910329997798885897631262592912412590372665549177968541<207>
prime factors 素因数
2119290193146730792871855235831164719433<40>
composite cofactor 合成数の残り
339545286120871698512445971742973688919968889349215391957674235981384335843472657019408629703613162515875687589198058000747729331386783856355592306666565577144004503477<168>
factorization results 素因数分解の結果
Resuming ECM residue saved by @ec3345abc87d with GMP-ECM 7.0.5-dev on Tue Sep 20 13:40:49 2022 
Input number is 719594995005164152317095883916628570461048746211543996884576962801171669968337820219772777298047781107668342899713855166692064137078613636748446521393135910329997798885897631262592912412590372665549177968541 (207 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3698381778
Step 1 took 0ms
Step 2 took 5127ms
********** Factor found in step 2: 2119290193146730792871855235831164719433
Found prime factor of 40 digits: 2119290193146730792871855235831164719433
Composite cofactor 339545286120871698512445971742973688919968889349215391957674235981384335843472657019408629703613162515875687589198058000747729331386783856355592306666565577144004503477 has 168 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 21, 2022 13:08:00 UTC 2022 年 9 月 21 日 (水) 22 時 8 分 0 秒 (日本時間)

17×10212+43

c203

composite cofactor 合成数の残り
78809363724129503055620663988660327226984861523600634332600332262613926772159074822603659406662224551846793512503447402037911383865707839904638785886425802112696537500906592787290373635988927087095199799<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 DomanovNovember 3, 2022 14:37:06 UTC 2022 年 11 月 3 日 (木) 23 時 37 分 6 秒 (日本時間)

17×10214+43

c159

composite cofactor 合成数の残り
172068450059625447545661473875446312246810099005688733811936768111938012951141958117202763039786849441892266939827503801341882764739804738298990332030356547781<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 14:37:10 UTC 2022 年 11 月 3 日 (木) 23 時 37 分 10 秒 (日本時間)

17×10215+43

c191

composite cofactor 合成数の残り
37465138675170553295777696608668439040504780798430027640449839422604312663140320780698871517744748909945446804024934908947253935584699396595395592873510270117303833845755360267143665836461453<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 14:37:15 UTC 2022 年 11 月 3 日 (木) 23 時 37 分 15 秒 (日本時間)

17×10216+43

c216

composite cofactor 合成数の残り
202380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952381<216>

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 14:37:19 UTC 2022 年 11 月 3 日 (木) 23 時 37 分 19 秒 (日本時間)

17×10217+43

c199

name 名前Dmitry Domanov
date 日付September 20, 2022 16:25:54 UTC 2022 年 9 月 21 日 (水) 1 時 25 分 54 秒 (日本時間)
composite number 合成数
5315686961335354466644668305103511325298142863235282898659598797688270918592241609790497439498134179623190188497723102083093274413192058144482972248932497680857373448703515301283829797253988492381199<199>
prime factors 素因数
3193976443276381937138372045478677461<37>
1664284961313778908508532638299044624414900874501896029462546058256906279540810949107784211606202726727331513976217569642176230201802962970134556063657730885951059<163>
factorization results 素因数分解の結果
GPU: factor 3193976443276381937138372045478677461 found in Step 1 with curve 829 (-sigma 3:-1050393652)
Computing 1792 Step 1 took 245ms of CPU time / 175361ms of GPU time
Throughput: 10.219 curves per second (on average 97.86ms per Step 1)
********** Factor found in step 1: 3193976443276381937138372045478677461
Found prime factor of 37 digits: 3193976443276381937138372045478677461
Prime cofactor 1664284961313778908508532638299044624414900874501896029462546058256906279540810949107784211606202726727331513976217569642176230201802962970134556063657730885951059 has 163 digits
Peak memory usage: 9428MB

ECM

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

17×10218+43

c199

composite cofactor 合成数の残り
2559354334517759901123951248907563651329819518336714195905131577589469047001710489325148408309503235463993087137745899398227747530080512852312989907278439929347803584440429468710247599016487636953127<199>

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 14:37:23 UTC 2022 年 11 月 3 日 (木) 23 時 37 分 23 秒 (日本時間)

17×10220+43

c193

composite cofactor 合成数の残り
2007569997937908103572607045582310734928134548922942750108249343295760207355905247100520887299538636632199323776550324120191041897092093980693282404211484985361239510436767820301902271791970021<193>

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 14:37:28 UTC 2022 年 11 月 3 日 (木) 23 時 37 分 28 秒 (日本時間)

17×10222+43

c200

composite cofactor 合成数の残り
73566905314335082071755444476983379995006946933867344258893379559553156373391677195998881758785438245690128550622783808633286816591590869727233835637738332935612976891831704515701608656289217639438851<200>

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 14:37:33 UTC 2022 年 11 月 3 日 (木) 23 時 37 分 33 秒 (日本時間)

17×10224+43

c136

name 名前Norman Powell
date 日付September 18, 2022 14:18:44 UTC 2022 年 9 月 18 日 (日) 23 時 18 分 44 秒 (日本時間)
composite number 合成数
4436299964005049535624634194935362777677101618641090882175523009464616554665719245298621571672058803095525017607466658039251266826941587<136>
prime factors 素因数
6704166253264126882527035628481612867427799893<46>
661722844633380356531963452330353874811803464984536674814167016987174595032164360072460359<90>
factorization results 素因数分解の結果
n: 443629.....941587
skew: 368056.015
c0: 212606709190789773073268344637340
c1: 1515913688105603873187907356
c2: -18536937473758567899855
c3: -23476370057638399
c4: 76790200610
c5: 25200
Y0: -274687043452120758847737527
Y1: 11484209360166716381
# MurphyE (Bf=1.074e+09,Bg=1.074e+09,area=4.698e+13) = 2.104e-06
# f(x) = 25200*x^5+76790200610*x^4-23476370057638399*x^3-18536937473758567899855*x^
      2+1515913688105603873187907356*x+212606709190789773073268344637340
# g(x) = 11484209360166716381*x-274687043452120758847737527
Factors: 
  661722844633380356531963452330353874811803464984536674814167016987174595032164360072460359 
        6704166253264126882527035628481612867427799893
Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 544144/78812.1, (21.89 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 13:54:47 UTC 2022 年 9 月 11 日 (日) 22 時 54 分 47 秒 (日本時間)

17×10225+43

c173

composite cofactor 合成数の残り
27297969847316775839246918250052042732860111546039163604078246211949869598570535315409623337770447212544225993163784007854636088385051679962507174743537115654841309369960907<173>

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 14:37:37 UTC 2022 年 11 月 3 日 (木) 23 時 37 分 37 秒 (日本時間)

17×10226+43

c179

composite cofactor 合成数の残り
14043805364965055079620549022841653069093570804650006758406064167128735664139460063946731691252417870694737113446222923082680722370967425554002911953730962940648606334544209675487<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 14:37:42 UTC 2022 年 11 月 3 日 (木) 23 時 37 分 42 秒 (日本時間)

17×10227+43

c195

composite cofactor 合成数の残り
128224754655357888915187459418155106833107221578973297869800080283109206408226042061189387060012969802439785393075475409539754239730902362567467931693870612693911870403537526774332819295256237693<195>

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 14:37:46 UTC 2022 年 11 月 3 日 (木) 23 時 37 分 46 秒 (日本時間)

17×10228+43

c185

composite cofactor 合成数の残り
50695662970882464931085371202364429335126307356269639311043676910425925757397442748111199245033545326012497762674642730798793382587233364866298988844220879797313351791913857718614114907<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 14:37:51 UTC 2022 年 11 月 3 日 (木) 23 時 37 分 51 秒 (日本時間)

17×10229+43

c189

composite cofactor 合成数の残り
413523805788863742347487560853973499987357329700451174594156157149749787678496331723958443062741544847787378319937137629342591524780357115743995267546491701609313299672197595498445629732601<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 14:37:55 UTC 2022 年 11 月 3 日 (木) 23 時 37 分 55 秒 (日本時間)

17×10230+43

c187

composite cofactor 合成数の残り
2428284993241843911324068729829214541611729322407317656546576030842535046824062203383318429344167879739586503731327488374416683685173136335075316006226616548024846377293852820980150610559<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 14:37:59 UTC 2022 年 11 月 3 日 (木) 23 時 37 分 59 秒 (日本時間)

17×10231+43

c166

composite cofactor 合成数の残り
3081266213880962263381692345936140631838956434713905752649434055865382790921542800745576897533196525109745927208267422658076131069066185713322497640476779504807694779<166>

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 14:38:04 UTC 2022 年 11 月 3 日 (木) 23 時 38 分 4 秒 (日本時間)

17×10232+43

c210

composite cofactor 合成数の残り
169939676727301425491982923302519111909329825755748110454675286623209057956243104467238049337062200953445835869494965664842624555622584353961300402937627658433366158702265262302716313389753115130545822200185083<210>

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 14:38:08 UTC 2022 年 11 月 3 日 (木) 23 時 38 分 8 秒 (日本時間)

17×10235+43

c234

composite cofactor 合成数の残り
137540453074433656957928802588996763754045307443365695792880258899676375404530744336569579288025889967637540453074433656957928802588996763754045307443365695792880258899676375404530744336569579288025889967637540453074433656957928802589<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 14:38:56 UTC 2022 年 11 月 3 日 (木) 23 時 38 分 56 秒 (日本時間)

17×10237+43

c226

composite cofactor 合成数の残り
4372673323051145541311097696925622261835870288474263443765972522868491006612750245690040955203004819623193474666848977167247325219697811995889053909119288140068578749650602411370182436617955135655198215667274133586501001297903<226>

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 14:38:59 UTC 2022 年 11 月 3 日 (木) 23 時 38 分 59 秒 (日本時間)

17×10238+43

c191

composite cofactor 合成数の残り
24149257721724813425311801927109529887577265902740564611326575213232584498027879529728046306530358972664011403340300108137032361640873962743245273608080790224663653520321298081011375005232841<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 14:39:04 UTC 2022 年 11 月 3 日 (木) 23 時 39 分 4 秒 (日本時間)

17×10239+43

c226

composite cofactor 合成数の残り
3521389968187999668358291315089709601112561646125077861233140342931575550940721703997549194124673527863417829633801906369372420506103033183535304385240944977176652175108840733295159977265982236169397670626925818968855924072927<226>

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 14:39:09 UTC 2022 年 11 月 3 日 (木) 23 時 39 分 9 秒 (日本時間)

17×10240+43

c235

composite cofactor 合成数の残り
1296225300426900365413537045051606541637349100312893537813636961147705330474927800250766221649646465986590625515630799655112571829943780421264072813092546521526032321454114691844546902158779364459210229749072131430535591144310745158751<235>

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 14:39:14 UTC 2022 年 11 月 3 日 (木) 23 時 39 分 14 秒 (日本時間)

17×10241+43

c237

composite cofactor 合成数の残り
187194157780449882618251650612014781731612027995436867118575386390764500940375357320612939741099468368591903522333364165312261878019882221840492959297383245902650228817329333985209459251135277509833198993996573245770513176266423534489973<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 14:39:18 UTC 2022 年 11 月 3 日 (木) 23 時 39 分 18 秒 (日本時間)

17×10242+43

c243

composite cofactor 合成数の残り
141666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667<243>

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 14:39:22 UTC 2022 年 11 月 3 日 (木) 23 時 39 分 22 秒 (日本時間)

17×10244+43

c243

composite cofactor 合成数の残り
456989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827957<243>

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 14:39:27 UTC 2022 年 11 月 3 日 (木) 23 時 39 分 27 秒 (日本時間)

17×10246+43

c187

name 名前Dmitry Domanov
date 日付September 21, 2022 06:11:21 UTC 2022 年 9 月 21 日 (水) 15 時 11 分 21 秒 (日本時間)
composite number 合成数
1392722918810219236633220123354369924292513489392182363050933581598471664332002656439262541584990758798145568457032490749568461221261626259914819360650388149073016590687998524283986839047<187>
prime factors 素因数
528018439870545647713016327808322089207649<42>
2637640683820953872222830703166300519855796162642881191138056965229082024572893584310645804611463377626132052554030480989202986773407450857868903<145>
factorization results 素因数分解の結果
Resuming ECM residue saved by @ec3345abc87d with GMP-ECM 7.0.5-dev on Tue Sep 20 16:20:43 2022 
Input number is 1392722918810219236633220123354369924292513489392182363050933581598471664332002656439262541584990758798145568457032490749568461221261626259914819360650388149073016590687998524283986839047 (187 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3244385104
Step 1 took 0ms
Step 2 took 4615ms
********** Factor found in step 2: 528018439870545647713016327808322089207649
Found prime factor of 42 digits: 528018439870545647713016327808322089207649
Prime cofactor 2637640683820953872222830703166300519855796162642881191138056965229082024572893584310645804611463377626132052554030480989202986773407450857868903 has 145 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)

17×10247+43

c226

composite cofactor 合成数の残り
3508770264328069267248849320178168870243727903272778292552221993178827867217672249519643864429573943760337789384191807296250557183064726361210377666151562897114777096444472009148272240972347804159377951265191430574995320610907<226>

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 14:39:31 UTC 2022 年 11 月 3 日 (木) 23 時 39 分 31 秒 (日本時間)

17×10249+43

c242

name 名前Dmitry Domanov
date 日付September 20, 2022 14:27:53 UTC 2022 年 9 月 20 日 (火) 23 時 27 分 53 秒 (日本時間)
composite number 合成数
40027739129033504620976443449483566347988411621045357088826422384061749182626503266466006197669087742113313368250519096203035536089956137038364911499280974658306501327051408209297494435885258046449111477903336475934678082653212599500365283729<242>
prime factors 素因数
1405085581384026199269770202907713023<37>
composite cofactor 合成数の残り
28487758795165843271972866834621817422892013056974378928514869203902603396225404694490958379251434199679387083163018926867436181527760726835952883331939619305586622521706851911937874995790788379795107725423<206>
factorization results 素因数分解の結果
GPU: factor 1405085581384026199269770202907713023 found in Step 1 with curve 1371 (-sigma 3:503869482)
Computing 1792 Step 1 took 408ms of CPU time / 267760ms of GPU time
Throughput: 6.693 curves per second (on average 149.42ms per Step 1)
********** Factor found in step 1: 1405085581384026199269770202907713023
Found prime factor of 37 digits: 1405085581384026199269770202907713023
Composite cofactor 28487758795165843271972866834621817422892013056974378928514869203902603396225404694490958379251434199679387083163018926867436181527760726835952883331939619305586622521706851911937874995790788379795107725423 has 206 digits
Peak memory usage: 9428MB

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric 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 20, 2022 14:27:46 UTC 2022 年 9 月 20 日 (火) 23 時 27 分 46 秒 (日本時間)

17×10251+43

c179

composite cofactor 合成数の残り
92988863028525361080606173683294043206426726569074591218028867442049142432901316684883041304144384449361171430804537986082286306979281994635352351610261520143584937023162473985617<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 14:39:36 UTC 2022 年 11 月 3 日 (木) 23 時 39 分 36 秒 (日本時間)

17×10252+43

c245

composite cofactor 合成数の残り
26774581965774310169117898545338221779809529655832530521117720736914362482367126553816402609124423479463772784169143488745795863014611166574395157310969388103846595832714604243612484053925217660184149778851087820080756297143857063245285845027573<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 14:39:40 UTC 2022 年 11 月 3 日 (木) 23 時 39 分 40 秒 (日本時間)

17×10253+43

c211

name 名前Dmitry Domanov
date 日付September 21, 2022 06:10:23 UTC 2022 年 9 月 21 日 (水) 15 時 10 分 23 秒 (日本時間)
composite number 合成数
1381795590735158185647507308811516458023627988349726126243016971011753397025335981364607638048361143288135466334900359970792583159848687207867316951982712278994814319223310543642026875567601422355311982536427133<211>
prime factors 素因数
288727935852696066728464659267485881<36>
4785804971224281123179264949596788418798934350434648769487074844533456747119912270185920523106888804010470545415616763935188905026297862883679259046144955125936527372420344293<175>
factorization results 素因数分解の結果
Resuming ECM residue saved by @ec3345abc87d with GMP-ECM 7.0.5-dev on Tue Sep 20 15:51:00 2022 
Input number is 1381795590735158185647507308811516458023627988349726126243016971011753397025335981364607638048361143288135466334900359970792583159848687207867316951982712278994814319223310543642026875567601422355311982536427133 (211 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4087514195
Step 1 took 0ms
Step 2 took 5173ms
********** Factor found in step 2: 288727935852696066728464659267485881
Found prime factor of 36 digits: 288727935852696066728464659267485881
Prime cofactor 4785804971224281123179264949596788418798934350434648769487074844533456747119912270185920523106888804010470545415616763935188905026297862883679259046144955125936527372420344293 has 175 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)

17×10254+43

c210

composite cofactor 合成数の残り
506887394719767667410133667031287256842142548111738935637546655588058965918794830740648151081456015237022318054213131356414599542574952250698319941748274029221732106415951517321409547600214564477792562420850111<210>

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 14:39:44 UTC 2022 年 11 月 3 日 (木) 23 時 39 分 44 秒 (日本時間)

17×10256+43

c215

name 名前Dmitry Domanov
date 日付September 21, 2022 09:22:38 UTC 2022 年 9 月 21 日 (水) 18 時 22 分 38 秒 (日本時間)
composite number 合成数
38020286259594897636219447069456620340276513386816464948607922005444543909474766409030453253160846505992448632179364381699615502642349304032942993777626576016735883539401235929776322265872178101754683264267012554407<215>
prime factors 素因数
2064857559146207417206198840704727957<37>
composite cofactor 合成数の残り
18413031006030172335916619273617295964377520064932642587291407983007761578127068316834266744134794508900522862165148740176217221323673449445456941028759902996339557742935582859851<179>
factorization results 素因数分解の結果
Resuming ECM residue saved by @ec3345abc87d with GMP-ECM 7.0.5-dev on Tue Sep 20 13:37:54 2022 
Input number is 38020286259594897636219447069456620340276513386816464948607922005444543909474766409030453253160846505992448632179364381699615502642349304032942993777626576016735883539401235929776322265872178101754683264267012554407 (215 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4186621897
Step 1 took 0ms
Step 2 took 5453ms
********** Factor found in step 2: 2064857559146207417206198840704727957
Found prime factor of 37 digits: 2064857559146207417206198840704727957
Composite cofactor 18413031006030172335916619273617295964377520064932642587291407983007761578127068316834266744134794508900522862165148740176217221323673449445456941028759902996339557742935582859851 has 179 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 21, 2022 09:22:27 UTC 2022 年 9 月 21 日 (水) 18 時 22 分 27 秒 (日本時間)

17×10258+43

c258

composite cofactor 合成数の残り
202380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952381<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 14:39:52 UTC 2022 年 11 月 3 日 (木) 23 時 39 分 52 秒 (日本時間)

17×10259+43

c223

composite cofactor 合成数の残り
2130556755835527737637036509158413381243239111104622942355057341665404206724380934726242442290015913479870158177669025786731327379696082953121054051559604293610724303905294090869628046401191934915245677207338840241865734743<223>

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 14:39:56 UTC 2022 年 11 月 3 日 (木) 23 時 39 分 56 秒 (日本時間)

17×10260+43

c253

composite cofactor 合成数の残り
1934853712243793898672366663756191423755002103322563118103529779121789385127573486893521754213584422167707301558364413799032499391807189287225796686145544640355287581199721204424674458245171723934944864340326946299282471109936662495440744856945998947649<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 14:40:01 UTC 2022 年 11 月 3 日 (木) 23 時 40 分 1 秒 (日本時間)

17×10261+43

c238

composite cofactor 合成数の残り
1588958785612991395834309215154144075032785996230993097827252117705895720237913151595556897551086555964629113172992043579461052018185796969231403293118902212475798716955901540752850883232727819261508614665813676556385264571614316211883597<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 14:40:05 UTC 2022 年 11 月 3 日 (木) 23 時 40 分 5 秒 (日本時間)

17×10262+43

c263

composite cofactor 合成数の残り
14166666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667<263>

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 14:40:10 UTC 2022 年 11 月 3 日 (木) 23 時 40 分 10 秒 (日本時間)

17×10263+43

c218

composite cofactor 合成数の残り
79087896334768013198555582912176914071663226911504843522044468593882366777213729816644511298734837298067744963884468762707658785045259886435221012928557504809470018532471058742395775980072287173730287568766579828496861<218>

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 14:40:14 UTC 2022 年 11 月 3 日 (木) 23 時 40 分 14 秒 (日本時間)

17×10264+43

c264

composite cofactor 合成数の残り
202380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952381<264>

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 14:40:19 UTC 2022 年 11 月 3 日 (木) 23 時 40 分 19 秒 (日本時間)

17×10265+43

c263

composite cofactor 合成数の残り
62408223201174743024963289280469897209985315712187958883994126284875183553597650513950073421439060205580029368575624082232011747430249632892804698972099853157121879588839941262848751835535976505139500734214390602055800293685756240822320117474302496328928046989721<263>

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 14:40:23 UTC 2022 年 11 月 3 日 (木) 23 時 40 分 23 秒 (日本時間)

17×10266+43

c211

composite cofactor 合成数の残り
2849988032074919931620330111088651244808428010159074209010963460013734881567263920783606001733092008067985331404591421996619109652905349803337718813077427493102058294217991685652722399773888600892385681090893519<211>

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 14:40:28 UTC 2022 年 11 月 3 日 (木) 23 時 40 分 28 秒 (日本時間)

17×10267+43

c260

composite cofactor 合成数の残り
25357009238489216979552173379988559752721309756708326562266072267345069881739741659329392305193001534659896309401859356101290500535847302405311602531541181062786478642712920285790557893402199867920410278557366596908639298315589960025241739257668602468482773853<260>

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 14:40:33 UTC 2022 年 11 月 3 日 (木) 23 時 40 分 33 秒 (日本時間)

17×10269+43

c232

composite cofactor 合成数の残り
2632105596112864320680393144995211628979507300165142477406618097872773291743058941952303095217206960831300494812539587566658581434576736156641316274509891025814341229658360441547515180579106830611058937271704260676719899066985551183<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 14:41:16 UTC 2022 年 11 月 3 日 (木) 23 時 41 分 16 秒 (日本時間)

17×10270+43

c253

composite cofactor 合成数の残り
1773335393948606261180280436152002114955519289005536797953652978467455009808943109819359954792214528740652802896574605038455296043732143814180300460928260176885376704418636326028705994895961383245118253404647350133295915935011725866175885540889944253991<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 14:41:21 UTC 2022 年 11 月 3 日 (木) 23 時 41 分 21 秒 (日本時間)

17×10273+43

c223

composite cofactor 合成数の残り
2884694394892622672845514840131635635010539810332555432368541495205835513835903354426371768945071714433503128123820036080360361081711652584181069069619858974150694651906816565408490228054673954112297796597010368654302453353<223>

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 14:41:26 UTC 2022 年 11 月 3 日 (木) 23 時 41 分 26 秒 (日本時間)

17×10274+43

c239

composite cofactor 合成数の残り
20173427408681276436659160721918291865810895338648109015398344515665096472262632578738669476351388341889492263825128277782637675837356336822059657458956556951210281814814289630293582739029609994554360951759220499320417253556175441634878149<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 14:41:31 UTC 2022 年 11 月 3 日 (木) 23 時 41 分 31 秒 (日本時間)

17×10275+43

c265

composite cofactor 合成数の残り
2729453585506599863105714552692077041200881005837985739519838658465299094053124807833402328245922604189446812729228195385758265955800050182568628111613560202450409043920614165812667891419899486697342230881836776843924259897609053429917426228003188227054492803297747<265>

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 14:41:35 UTC 2022 年 11 月 3 日 (木) 23 時 41 分 35 秒 (日本時間)

17×10276+43

c276

composite cofactor 合成数の残り
202380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952381<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)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 14:41:39 UTC 2022 年 11 月 3 日 (木) 23 時 41 分 39 秒 (日本時間)

17×10278+43

c233

composite cofactor 合成数の残り
14502945255744462465613337378919073261571103906642916735683952565651060870414186987564013028337382053926333426348755267602941550229906323184613313290164399303928899520402528986443942055526192650655734758231027662753495806310450245001<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 14:41:43 UTC 2022 年 11 月 3 日 (木) 23 時 41 分 43 秒 (日本時間)

17×10279+43

c224

composite cofactor 合成数の残り
44332038687903058394783612839228448490159575080900939322661449086009611479120437926288214268556055251827168905037629014265473585047309143205038533785356923227158300871291519894482188623414395788679574138291742820890008070827<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 14:41:48 UTC 2022 年 11 月 3 日 (木) 23 時 41 分 48 秒 (日本時間)

17×10281+43

c251

composite cofactor 合成数の残り
78057615425820817520707874642185547274978700564532965476611988998882585452815843338773268898275908008641644655890131078620948860422587928360411127475615196037881798352596391903478615813289700371817631329811350134478771177744283919529005338596352609389<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 14:41:52 UTC 2022 年 11 月 3 日 (木) 23 時 41 分 52 秒 (日本時間)

17×10282+43

c228

composite cofactor 合成数の残り
397393412332624210539382056305177197400930955314964059242320001240193925281260841557861831940434557783575120783032480016503488427947782926349437437651568098953006333772092483583831519374535039576622687840934710305207179165962999<228>

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 14:41:57 UTC 2022 年 11 月 3 日 (木) 23 時 41 分 57 秒 (日本時間)

17×10283+43

c278

composite cofactor 合成数の残り
42117447226838624771203161682438411904669883448636038859043309618733047727491197453529590727422818539208370371911923994359235067878459948289684793024954339732212315537968630925305450592270407885178919870813401870807455878257784542995967626052564556136611160826215484751997605747<278>

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 14:42:01 UTC 2022 年 11 月 3 日 (木) 23 時 42 分 1 秒 (日本時間)

17×10284+43

c232

composite cofactor 合成数の残り
3938890443334322749521814701178517698915772181867406646050117461183804278774605659171569942159948300748199194249828918522307209406490317096022082505842695908792518426793919153162790726962867591498556365370785408076928486524610975163<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 14:42:05 UTC 2022 年 11 月 3 日 (木) 23 時 42 分 5 秒 (日本時間)

17×10285+43

c271

composite cofactor 合成数の残り
2906516062446559966354115618639663821067945190489323802750306723632502769326116679913087304883965269980191119911245023800387771562914155819309488188756920442751560304251729841691635622995633723008589072033911001894568883143746543007114951803223843216508525040311855824953<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 14:42:09 UTC 2022 年 11 月 3 日 (木) 23 時 42 分 9 秒 (日本時間)

17×10287+43

c286

composite cofactor 合成数の残り
7456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877193<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 14:42:14 UTC 2022 年 11 月 3 日 (木) 23 時 42 分 14 秒 (日本時間)

17×10288+43

c287

composite cofactor 合成数の残り
28911564625850340136054421768707482993197278911564625850340136054421768707482993197278911564625850340136054421768707482993197278911564625850340136054421768707482993197278911564625850340136054421768707482993197278911564625850340136054421768707482993197278911564625850340136054421768707483<287>

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 14:42:18 UTC 2022 年 11 月 3 日 (木) 23 時 42 分 18 秒 (日本時間)

17×10291+43

c250

name 名前Dmitry Domanov
date 日付September 20, 2022 13:04:46 UTC 2022 年 9 月 20 日 (火) 22 時 4 分 46 秒 (日本時間)
composite number 合成数
3354567559909949336228898816322066266891152198585699759442014117060444517108344566907297982351405670269325514684454240537810672342362715317558230266326219389641933050918231246363943633129257981412439495106466567581593850564652269221124216737148579549<250>
prime factors 素因数
71155989257965405759563195216926651<35>
47143853875019092803137665256520881557057673484602048253133737718689508338956212101908460647947283316734481211890944734025671230261052470840219842139189586719793029771277258849156208816331557728883703858948049776199<215>
factorization results 素因数分解の結果
GPU: factor 71155989257965405759563195216926651 found in Step 1 with curve 1342 (-sigma 3:1196015768)
Computing 1792 Step 1 took 404ms of CPU time / 267946ms of GPU time
Throughput: 6.688 curves per second (on average 149.52ms per Step 1)
********** Factor found in step 1: 71155989257965405759563195216926651
Found prime factor of 35 digits: 71155989257965405759563195216926651
Prime cofactor 47143853875019092803137665256520881557057673484602048253133737718689508338956212101908460647947283316734481211890944734025671230261052470840219842139189586719793029771277258849156208816331557728883703858948049776199 has 215 digits
Peak memory usage: 9428MB

ECM

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

17×10292+43

c287

composite cofactor 合成数の残り
32785848239322806376037479238843747275881727173913881991003563243129821930415315696861275747498054063478030781668622246085176862294037372781265934886533964981628353510130055674227468986516144908820627467135080009041179796820312722991982510099969837019619823018134045519100263752506188811<287>

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 14:42:23 UTC 2022 年 11 月 3 日 (木) 23 時 42 分 23 秒 (日本時間)

17×10293+43

c274

composite cofactor 合成数の残り
6631997563528805131253134624757221577422885775329618595015274011803017577887001003309390621605893947585664824787486698971384988151809739527324371483190088520160386398442624467920290332208227975996484303104185932464730415580061209734608039656265404687939260439205565295002223<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 14:42:27 UTC 2022 年 11 月 3 日 (木) 23 時 42 分 27 秒 (日本時間)

17×10294+43

c284

name 名前Dmitry Domanov
date 日付September 20, 2022 14:28:27 UTC 2022 年 9 月 20 日 (火) 23 時 28 分 27 秒 (日本時間)
composite number 合成数
18290102126005698699631358687666558385462043024162592625076296922709360953874790920509956970767150066602204263840548922354272194505944497191602056506174635624964050828478823907154593431658542583757936923429888897351785130411160678160489772691784486131253157265321396845868220882074487<284>
prime factors 素因数
25124613029162023242728474869122499<35>
727975475872064614571929459748649199126321179699287049857387968119606914181301774485933304904880272070491596339713470211664044167183239078050435149192846704670605933799185245051004928138285859127580385132063789603553344434098184738491391105371518013<249>
factorization results 素因数分解の結果
GPU: factor 25124613029162023242728474869122499 found in Step 1 with curve 22 (-sigma 3:199798555)
Computing 1792 Step 1 took 389ms of CPU time / 265907ms of GPU time
Throughput: 6.739 curves per second (on average 148.39ms per Step 1)
********** Factor found in step 1: 25124613029162023242728474869122499
Found prime factor of 35 digits: 25124613029162023242728474869122499
Prime cofactor 727975475872064614571929459748649199126321179699287049857387968119606914181301774485933304904880272070491596339713470211664044167183239078050435149192846704670605933799185245051004928138285859127580385132063789603553344434098184738491391105371518013 has 249 digits
Peak memory usage: 9428MB

ECM

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

17×10295+43

c258

composite cofactor 合成数の残り
644296250180665287717465737039648164256307785412752819985829788997241507531838778292933548466373586437781225954677989008431563081815984532658166068477911688040585796270211911305158043266143114805984157510183127334205971172716757716510242877696051147118951981<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 14:42:31 UTC 2022 年 11 月 3 日 (木) 23 時 42 分 31 秒 (日本時間)

17×10296+43

c265

composite cofactor 合成数の残り
3055812689456903128648216208434635130255966699371815294174085116772867792319099130866051730798062960128569899711319536873337291452834178349850243857962453531206002718839581292748071534036122646368346871295822913052319118144826307584390163160952441696149787727990813<265>

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 14:42:36 UTC 2022 年 11 月 3 日 (木) 23 時 42 分 36 秒 (日本時間)

17×10297+43

c246

composite cofactor 合成数の残り
460654618825372812764748895841625105286293546751721222157354189711154338410702479301021917387212173453919830564432840173619730120941753677227823781984742213380144491652910795427479596152250239999865890266973052308642231335660797273424870814259177<246>

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 14:42:40 UTC 2022 年 11 月 3 日 (木) 23 時 42 分 40 秒 (日本時間)

17×10298+43

c261

composite cofactor 合成数の残り
268787747264983383327710987622933108830063784472423135396590681677288040119761939179697130782396677412560631419826676257942289465825962557986994777071335852888662174731841293684935758421182358713316029018121373028538040102873191409365500432647599902387250578361<261>

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 14:42:45 UTC 2022 年 11 月 3 日 (木) 23 時 42 分 45 秒 (日本時間)

17×10299+43

c258

name 名前Dmitry Domanov
date 日付September 21, 2022 19:00:06 UTC 2022 年 9 月 22 日 (木) 4 時 0 分 6 秒 (日本時間)
composite number 合成数
335808490744174673252807693269509144311038068472147822713620167297233467170919030322822121848601801609364842687831189511951052335698739792635396040107350404162795056859706582722129244293985945494666314367063300787384799690064855785313522118437398083304920353<258>
prime factors 素因数
3577360418657890237496943664101186871<37>
composite cofactor 合成数の残り
93870466333990228060490048024064956219382461590972823488102138857829275419758350964774444339107140145198205040247417986133115848152331764950624947066246849960554782183673668685344720409922448923180863296075158927773731943<221>
factorization results 素因数分解の結果
Resuming ECM residue saved by @ec3345abc87d with GMP-ECM 7.0.5-dev on Tue Sep 20 14:45:58 2022 
Input number is 335808490744174673252807693269509144311038068472147822713620167297233467170919030322822121848601801609364842687831189511951052335698739792635396040107350404162795056859706582722129244293985945494666314367063300787384799690064855785313522118437398083304920353 (258 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1203426612
Step 1 took 0ms
Step 2 took 6767ms
********** Factor found in step 2: 3577360418657890237496943664101186871
Found prime factor of 37 digits: 3577360418657890237496943664101186871
Composite cofactor 93870466333990228060490048024064956219382461590972823488102138857829275419758350964774444339107140145198205040247417986133115848152331764950624947066246849960554782183673668685344720409922448923180863296075158927773731943 has 221 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 21, 2022 18:59:57 UTC 2022 年 9 月 22 日 (木) 3 時 59 分 57 秒 (日本時間)