Table of contents 目次

77×10114+49

c114

name 名前Dmitry Domanov
date 日付December 23, 2022 15:29:05 UTC 2022 年 12 月 24 日 (土) 0 時 29 分 5 秒 (日本時間)
composite number 合成数
712962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963<114>
prime factors 素因数
6552068900962543296966804206518933678851624599261<49>
108814936738260471436080823403691922949412405293594121704905086383<66>
factorization results 素因数分解の結果
N=712962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963
  ( 114 digits)
SNFS difficulty: 115 digits.
Divisors found:
 r1=6552068900962543296966804206518933678851624599261 (pp49)
 r2=108814936738260471436080823403691922949412405293594121704905086383 (pp66)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.01 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 712962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963
m: 10000000000000000000000000000
deg: 4
c4: 1925
c0: 1
skew: 0.15
# Murphy_E = 6.263e-08
type: snfs
lss: 1
rlim: 580000
alim: 580000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 580000/580000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [290000, 670001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 63594 x 63819
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,115.000,4,0,0,0,0,0,0,0,0,580000,580000,25,25,45,45,2.2,2.2,20000
total time: 0.01 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

77×10122+49

c104

name 名前Dmitry Domanov
date 日付December 25, 2022 00:01:46 UTC 2022 年 12 月 25 日 (日) 9 時 1 分 46 秒 (日本時間)
composite number 合成数
70093832367246976639309924194821891913241403942367833656075296517527915195571184947195730824471181529791<104>
prime factors 素因数
1149914219319304304694993203940223652474401<43>
60955705381866886468302782860565229927946476638521438002439391<62>
factorization results 素因数分解の結果
N=70093832367246976639309924194821891913241403942367833656075296517527915195571184947195730824471181529791
  ( 104 digits)
SNFS difficulty: 123 digits.
Divisors found:
 r1=1149914219319304304694993203940223652474401 (pp43)
 r2=60955705381866886468302782860565229927946476638521438002439391 (pp62)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.01 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 70093832367246976639309924194821891913241403942367833656075296517527915195571184947195730824471181529791
m: 1000000000000000000000000000000
deg: 4
c4: 1925
c0: 1
skew: 0.15
# Murphy_E = 2.626e-08
type: snfs
lss: 1
rlim: 790000
alim: 790000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 790000/790000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [395000, 845001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 75393 x 75619
Total sieving time: 0.00 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,123.000,4,0,0,0,0,0,0,0,0,790000,790000,25,25,46,46,2.2,2.2,75000
total time: 0.01 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

77×10130+49

c108

name 名前Dmitry Domanov
date 日付December 26, 2022 22:42:05 UTC 2022 年 12 月 27 日 (火) 7 時 42 分 5 秒 (日本時間)
composite number 合成数
157618460881126472942624113453304848075715454029921705330571282577204731141840108666247144176642440088750907<108>
prime factors 素因数
150291635722882524151795377252026167965047<42>
1048750718048964645792699532654204684437542055653816320171056044381<67>
factorization results 素因数分解の結果
N=157618460881126472942624113453304848075715454029921705330571282577204731141840108666247144176642440088750907
  ( 108 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=150291635722882524151795377252026167965047 (pp42)
 r2=1048750718048964645792699532654204684437542055653816320171056044381 (pp67)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.03 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 157618460881126472942624113453304848075715454029921705330571282577204731141840108666247144176642440088750907
m: 100000000000000000000000000000000
deg: 4
c4: 1925
c0: 1
skew: 0.15
# Murphy_E = 1.079e-08
type: snfs
lss: 1
rlim: 1080000
alim: 1080000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1080000/1080000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [540000, 1140001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 147517 x 147742
Total sieving time: 0.00 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,131.000,4,0,0,0,0,0,0,0,0,1080000,1080000,26,26,47,47,2.3,2.3,100000
total time: 0.03 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

77×10132+49

c105

name 名前Dmitry Domanov
date 日付December 30, 2022 00:25:01 UTC 2022 年 12 月 30 日 (金) 9 時 25 分 1 秒 (日本時間)
composite number 合成数
428597050254570141706084293068844736417672923812583645535900524201559523165858381567226376118075378034097<105>
prime factors 素因数
1407816567902870231486626777774243513151172167<46>
304440976208301324133288624068540142872701202262938827550791<60>
factorization results 素因数分解の結果
N=428597050254570141706084293068844736417672923812583645535900524201559523165858381567226376118075378034097
  ( 105 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=1407816567902870231486626777774243513151172167 (pp46)
 r2=304440976208301324133288624068540142872701202262938827550791 (pp60)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.04 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 428597050254570141706084293068844736417672923812583645535900524201559523165858381567226376118075378034097
m: 1000000000000000000000000000000000
deg: 4
c4: 77
c0: 4
skew: 0.48
# Murphy_E = 8.338e-09
type: snfs
lss: 1
rlim: 1190000
alim: 1190000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor 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, 1295001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 166281 x 166506
Total sieving time: 0.00 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 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: 0.04 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

77×10136+49

c133

name 名前Bob Backstrom
date 日付December 24, 2022 03:17:10 UTC 2022 年 12 月 24 日 (土) 12 時 17 分 10 秒 (日本時間)
composite number 合成数
2581017121864231795449365136827427161685638818497512838046203558451657884504511752007830202593084214901519112934582947856750197766247<133>
prime factors 素因数
16283004337651938978498649824567302075324113618146814450398853009<65>
158509883578181412841287118168667151414732661362669460944832134718583<69>
factorization results 素因数分解の結果
Number: n
N=2581017121864231795449365136827427161685638818497512838046203558451657884504511752007830202593084214901519112934582947856750197766247  ( 133 digits)
SNFS difficulty: 137 digits.
Divisors found:

Sat Dec 24 14:13:39 2022  p65 factor: 16283004337651938978498649824567302075324113618146814450398853009
Sat Dec 24 14:13:39 2022  p69 factor: 158509883578181412841287118168667151414732661362669460944832134718583
Sat Dec 24 14:13:39 2022  elapsed time 00:02:50 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.299).
Factorization parameters were as follows:
#
# N = 77x10^136+4 = 85(135)6
#
n: 2581017121864231795449365136827427161685638818497512838046203558451657884504511752007830202593084214901519112934582947856750197766247
m: 10000000000000000000000000000000000
deg: 4
c4: 77
c0: 4
skew: 0.48
# Murphy_E = 5.287e-09
type: snfs
lss: 1
rlim: 1390000
alim: 1390000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1390000/1390000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 6295000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 446979 hash collisions in 5580968 relations (5748080 unique)
Msieve: matrix is 238193 x 238418 (80.3 MB)

Sieving start time : 2022/12/24 13:56:25
Sieving end time  : 2022/12/24 14:08:34

Total sieving time: 0hrs 12min 9secs.

Total relation processing time: 0hrs 1min 29sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 8sec.

Prototype def-par.txt line would be:
snfs,137,4,0,0,0,0,0,0,0,0,1390000,1390000,26,26,48,48,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

77×10137+49

c116

name 名前anonymous
date 日付December 24, 2022 00:02:04 UTC 2022 年 12 月 24 日 (土) 9 時 2 分 4 秒 (日本時間)
composite number 合成数
30231677671374747565694181806142707794720473788834880979943267538525617748300420536364489832419378260017545262075693<116>
prime factors 素因数
2562770158448281782387061925182297<34>
11796484195710928285493201155916221850479510268869330459416682517273456843632327669<83>
factorization results 素因数分解の結果
p34:2562770158448281782387061925182297
p83:11796484195710928285493201155916221850479510268869330459416682517273456843632327669
software ソフトウェア
ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

77×10142+49

c129

name 名前Bob Backstrom
date 日付December 24, 2022 11:59:48 UTC 2022 年 12 月 24 日 (土) 20 時 59 分 48 秒 (日本時間)
composite number 合成数
374139821818754093338932784156926414287106797977637890303383486248033402301877096128711079657744473341311222842807944943147741949<129>
prime factors 素因数
18678956448341688908606379794362813<35>
45978596062084645772770410572824910297<38>
435637863478045735118833587527458119235434949321055664809<57>
factorization results 素因数分解の結果
Number: n
N=374139821818754093338932784156926414287106797977637890303383486248033402301877096128711079657744473341311222842807944943147741949  ( 129 digits)
SNFS difficulty: 143 digits.
Divisors found:

Sat Dec 24 22:50:48 2022  found factor: 45978596062084645772770410572824910297
Sat Dec 24 22:50:58 2022  p35 factor: 18678956448341688908606379794362813
Sat Dec 24 22:50:58 2022  p38 factor: 45978596062084645772770410572824910297
Sat Dec 24 22:50:58 2022  p57 factor: 435637863478045735118833587527458119235434949321055664809
Sat Dec 24 22:50:58 2022  elapsed time 00:02:53 (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 = 77x10^142+4 = 85(141)6
#
n: 374139821818754093338932784156926414287106797977637890303383486248033402301877096128711079657744473341311222842807944943147741949
m: 100000000000000000000000000000000000
deg: 4
c4: 1925
c0: 1
skew: 0.15
# Murphy_E = 2.743e-09
type: snfs
lss: 1
rlim: 1710000
alim: 1710000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1710000/1710000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 13655000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 380408 hash collisions in 5614670 relations (5880146 unique)
Msieve: matrix is 273294 x 273519 (92.4 MB)

Sieving start time : 2022/12/24 21:57:35
Sieving end time  : 2022/12/24 22:47:37

Total sieving time: 0hrs 50min 2secs.

Total relation processing time: 0hrs 1min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 21sec.

Prototype def-par.txt line would be:
snfs,143,4,0,0,0,0,0,0,0,0,1710000,1710000,26,26,48,48,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

77×10145+49

c131

name 名前anonymous
date 日付January 13, 2023 10:30:30 UTC 2023 年 1 月 13 日 (金) 19 時 30 分 30 秒 (日本時間)
composite number 合成数
42513599994577404856500062416256283964409150399506342507559575543283626142327520382296213010333211608813710178294192483679360324789<131>
prime factors 素因数
207406842340174123399420508680341120791078200037233599476605883<63>
204976844133471674894007041061664054224754994555411830795110634965583<69>
factorization results 素因数分解の結果
207406842340174123399420508680341120791078200037233599476605883*204976844133471674894007041061664054224754994555411830795110634965583
software ソフトウェア
GGNFS snfs

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

77×10147+49

c108

name 名前Bob Backstrom
date 日付January 22, 2023 18:04:02 UTC 2023 年 1 月 23 日 (月) 3 時 4 分 2 秒 (日本時間)
composite number 合成数
274565254809109622210880584936841158020824689647425395516202807826264337930448843032389710385290533852033777<108>
prime factors 素因数
29374691327468614326801241065983969307748417237571<50>
9347000509665286936937791140765253618202356475649541248187<58>
factorization results 素因数分解の結果
Number: n
N=274565254809109622210880584936841158020824689647425395516202807826264337930448843032389710385290533852033777  ( 108 digits)
SNFS difficulty: 148 digits.
Divisors found:

Mon Jan 23 04:59:36 2023  prp50 factor: 29374691327468614326801241065983969307748417237571
Mon Jan 23 04:59:36 2023  prp58 factor: 9347000509665286936937791140765253618202356475649541248187
Mon Jan 23 04:59:36 2023  elapsed time 00:05:40 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.096).
Factorization parameters were as follows:
#
# N = 77x10^147+4 = 85(146)6
#
n: 274565254809109622210880584936841158020824689647425395516202807826264337930448843032389710385290533852033777
m: 100000000000000000000000000000
deg: 5
c5: 1925
c0: 1
skew: 0.22
# Murphy_E = 1.732e-09
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 19450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 772640 hash collisions in 8037213 relations (7809459 unique)
Msieve: matrix is 369648 x 369873 (100.3 MB)

Sieving start time: 2023/01/23 04:09:22
Sieving end time  : 2023/01/23 04:53:45

Total sieving time: 0hrs 44min 23secs.

Total relation processing time: 0hrs 3min 26sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 37sec.

Prototype def-par.txt line would be:
snfs,148,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
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 JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

77×10149+49

c142

name 名前Bob Backstrom
date 日付December 25, 2022 07:09:11 UTC 2022 年 12 月 25 日 (日) 16 時 9 分 11 秒 (日本時間)
composite number 合成数
1814642890048493771883067304281839564601617292133111784007089546766034362034403063243139331785008376499987701434563627182340326006449188041621<142>
prime factors 素因数
154357468362458223694244213487819182570176373<45>
11756106842769642788472230135895014269581624017413900717436648695368325856312260699287176711913377<98>
factorization results 素因数分解の結果
Number: n
N=1814642890048493771883067304281839564601617292133111784007089546766034362034403063243139331785008376499987701434563627182340326006449188041621  ( 142 digits)
SNFS difficulty: 150 digits.
Divisors found:

Sun Dec 25 17:58:52 2022  p45 factor: 154357468362458223694244213487819182570176373
Sun Dec 25 17:58:52 2022  p98 factor: 11756106842769642788472230135895014269581624017413900717436648695368325856312260699287176711913377
Sun Dec 25 17:58:52 2022  elapsed time 00:05:48 (Msieve 1.54 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.293).
Factorization parameters were as follows:
#
# N = 77x10^149+4 = 85(148)6
#
n: 1814642890048493771883067304281839564601617292133111784007089546766034362034403063243139331785008376499987701434563627182340326006449188041621
m: 10000000000000000000000000000000000000
deg: 4
c4: 385
c0: 2
skew: 0.27
# Murphy_E = 1.469e-09
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1528281 hash collisions in 14289696 relations (14150625 unique)
Msieve: matrix is 444108 x 444354 (63.3 MB)

Sieving start time : 2022/12/25 17:26:05
Sieving end time  : 2022/12/25 17:52:46

Total sieving time: 0hrs 26min 41secs.

Total relation processing time: 0hrs 1min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 3sec.

Prototype def-par.txt line would be:
snfs,150,4,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

77×10151+49

c140

name 名前Bob Backstrom
date 日付December 25, 2022 07:50:27 UTC 2022 年 12 月 25 日 (日) 16 時 50 分 27 秒 (日本時間)
composite number 合成数
11863315903038483224844302661562802458703132502965618131203042631073899275753006233817285042004362507227099900855982311812587104956892395679<140>
prime factors 素因数
72863278480574451320548819276618972313801569549942998553432380491<65>
162816114652338565657904209214609918918988156232484690907021560275220639869<75>
factorization results 素因数分解の結果
Number: n
N=11863315903038483224844302661562802458703132502965618131203042631073899275753006233817285042004362507227099900855982311812587104956892395679  ( 140 digits)
SNFS difficulty: 152 digits.
Divisors found:

Sun Dec 25 18:39:53 2022  p65 factor: 72863278480574451320548819276618972313801569549942998553432380491
Sun Dec 25 18:39:53 2022  p75 factor: 162816114652338565657904209214609918918988156232484690907021560275220639869
Sun Dec 25 18:39:53 2022  elapsed time 00:05:13 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.297).
Factorization parameters were as follows:
#
# N = 77x10^151+4 = 85(150)6
#
n: 11863315903038483224844302661562802458703132502965618131203042631073899275753006233817285042004362507227099900855982311812587104956892395679
m: 1000000000000000000000000000000
deg: 5
c5: 385
c0: 2
skew: 0.35
# Murphy_E = 1.156e-09
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 6800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1168624 hash collisions in 12955146 relations (12613255 unique)
Msieve: matrix is 325368 x 325596 (109.1 MB)

Sieving start time : 2022/12/25 18:04:15
Sieving end time  : 2022/12/25 18:34:03

Total sieving time: 0hrs 29min 48secs.

Total relation processing time: 0hrs 1min 48sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 33sec.

Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

77×10152+49

c120

name 名前Bob Backstrom
date 日付February 2, 2023 13:07:04 UTC 2023 年 2 月 2 日 (木) 22 時 7 分 4 秒 (日本時間)
composite number 合成数
530122677333610507811491838159617619903465137258501821290517267863903954699105896274685873261384869599679766698538350447<120>
prime factors 素因数
5279521637644102122188015364715486473170630836549<49>
100411119362353603465102299006828659362154975710389421546300433810919203<72>
factorization results 素因数分解の結果
Number: n
N=530122677333610507811491838159617619903465137258501821290517267863903954699105896274685873261384869599679766698538350447  ( 120 digits)
SNFS difficulty: 153 digits.
Divisors found:

Thu Feb  2 23:54:55 2023  prp49 factor: 5279521637644102122188015364715486473170630836549
Thu Feb  2 23:54:55 2023  prp72 factor: 100411119362353603465102299006828659362154975710389421546300433810919203
Thu Feb  2 23:54:55 2023  elapsed time 00:06:39 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.100).
Factorization parameters were as follows:
#
# N = 77x10^152+4 = 85(151)6
#
n: 530122677333610507811491838159617619903465137258501821290517267863903954699105896274685873261384869599679766698538350447
m: 1000000000000000000000000000000
deg: 5
c5: 1925
c0: 1
skew: 0.22
# Murphy_E = 1.119e-09
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 12450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1069981 hash collisions in 13758861 relations (13624232 unique)
Msieve: matrix is 383510 x 383737 (105.3 MB)

Sieving start time: 2023/02/02 22:02:30
Sieving end time  : 2023/02/02 23:35:27

Total sieving time: 1hrs 32min 57secs.

Total relation processing time: 0hrs 3min 51sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 19sec.

Prototype def-par.txt line would be:
snfs,153,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

77×10154+49

c143

name 名前Bob Backstrom
date 日付December 30, 2022 03:22:25 UTC 2022 年 12 月 30 日 (金) 12 時 22 分 25 秒 (日本時間)
composite number 合成数
75351149756169116591001053409211767638348267899436392582347697116454516918526748216034616538469162273925722200927572576229262802545437954149953<143>
prime factors 素因数
5303035018780867414180666351718622823252742306633386391<55>
14209061318529977623705373056042314895438124350043388765301335811415119948778049131524583<89>
factorization results 素因数分解の結果
Number: n
N=75351149756169116591001053409211767638348267899436392582347697116454516918526748216034616538469162273925722200927572576229262802545437954149953  ( 143 digits)
SNFS difficulty: 155 digits.
Divisors found:

Fri Dec 30 14:19:03 2022  p55 factor: 5303035018780867414180666351718622823252742306633386391
Fri Dec 30 14:19:03 2022  p89 factor: 14209061318529977623705373056042314895438124350043388765301335811415119948778049131524583
Fri Dec 30 14:19:03 2022  elapsed time 00:06:52 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.288).
Factorization parameters were as follows:
#
# N = 77x10^154+4 = 85(153)6
#
n: 75351149756169116591001053409211767638348267899436392582347697116454516918526748216034616538469162273925722200927572576229262802545437954149953
m: 5000000000000000000000000000000
deg: 5
c5: 308
c0: 5
skew: 0.44
# Murphy_E = 7.953e-10
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1978446 hash collisions in 16889680 relations (15967192 unique)
Msieve: matrix is 513003 x 513250 (81.1 MB)

Sieving start time : 2022/12/30 13:40:03
Sieving end time  : 2022/12/30 14:11:43

Total sieving time: 0hrs 31min 40secs.

Total relation processing time: 0hrs 2min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 39sec.

Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

77×10157+49

c140

name 名前Bob Backstrom
date 日付December 30, 2022 09:30:24 UTC 2022 年 12 月 30 日 (金) 18 時 30 分 24 秒 (日本時間)
composite number 合成数
44983670069753435150178348841269271810999778129787242315915539189453882278487741914368109473346998857035513686120107128121926516795517854121<140>
prime factors 素因数
482958429404327894824023892965670238389773448529<48>
93141908973895480297896053255090860932619095101935164297991484265089122355478878147929157849<92>
factorization results 素因数分解の結果
Number: n
N=44983670069753435150178348841269271810999778129787242315915539189453882278487741914368109473346998857035513686120107128121926516795517854121  ( 140 digits)
SNFS difficulty: 158 digits.
Divisors found:

Fri Dec 30 20:25:55 2022  p48 factor: 482958429404327894824023892965670238389773448529
Fri Dec 30 20:25:55 2022  p92 factor: 93141908973895480297896053255090860932619095101935164297991484265089122355478878147929157849
Fri Dec 30 20:25:55 2022  elapsed time 00:05:55 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.320).
Factorization parameters were as follows:
#
# N = 77x10^157+4 = 85(156)6
#
n: 44983670069753435150178348841269271810999778129787242315915539189453882278487741914368109473346998857035513686120107128121926516795517854121
m: 10000000000000000000000000000000
deg: 5
c5: 1925
c0: 1
skew: 0.22
# Murphy_E = 7.193e-10
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1268642 hash collisions in 13739982 relations (13354743 unique)
Msieve: matrix is 411532 x 411761 (138.1 MB)

Sieving start time : 2022/12/30 19:37:18
Sieving end time  : 2022/12/30 20:19:43

Total sieving time: 0hrs 42min 25secs.

Total relation processing time: 0hrs 2min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 22sec.

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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

77×10159+49

c117

name 名前Bob Backstrom
date 日付February 5, 2023 19:21:17 UTC 2023 年 2 月 6 日 (月) 4 時 21 分 17 秒 (日本時間)
composite number 合成数
191887043063056871003890436076157807262416063922714595730320308186215298217757670725424993429037138335251325668820989<117>
prime factors 素因数
142927568992189275317173663750966531986499157622189933361<57>
1342547448446024709881781585784276995087557630298708960798349<61>
factorization results 素因数分解の結果
Number: n
N=191887043063056871003890436076157807262416063922714595730320308186215298217757670725424993429037138335251325668820989  ( 117 digits)
SNFS difficulty: 160 digits.
Divisors found:

Mon Feb  6 06:15:32 2023  prp57 factor: 142927568992189275317173663750966531986499157622189933361
Mon Feb  6 06:15:32 2023  prp61 factor: 1342547448446024709881781585784276995087557630298708960798349
Mon Feb  6 06:15:32 2023  elapsed time 00:12:40 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.103).
Factorization parameters were as follows:
#
# N = 77x10^159+4 = 85(158)6
#
n: 191887043063056871003890436076157807262416063922714595730320308186215298217757670725424993429037138335251325668820989
m: 50000000000000000000000000000000
deg: 5
c5: 308
c0: 5
skew: 0.44
# Murphy_E = 5.099e-10
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 20100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1328568 hash collisions in 16898226 relations (16333244 unique)
Msieve: matrix is 556485 x 556711 (152.1 MB)

Sieving start time: 2023/02/06 03:37:37
Sieving end time  : 2023/02/06 06:02:41

Total sieving time: 2hrs 25min 4secs.

Total relation processing time: 0hrs 8min 12sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 1sec.

Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

77×10163+49

c125

name 名前Bob Backstrom
date 日付February 2, 2023 10:48:33 UTC 2023 年 2 月 2 日 (木) 19 時 48 分 33 秒 (日本時間)
composite number 合成数
51856461465366448590770521147580863209267198563155619150068256407666974430812431804640614882081875706659007116979475391002439<125>
prime factors 素因数
1490990799490208917529186757526183635028344220105663<52>
34779866839618939670942706520853131111048301886084581274397878542961772153<74>
factorization results 素因数分解の結果
Number: n
N=51856461465366448590770521147580863209267198563155619150068256407666974430812431804640614882081875706659007116979475391002439  ( 125 digits)
SNFS difficulty: 164 digits.
Divisors found:

Thu Feb  2 21:45:36 2023  prp52 factor: 1490990799490208917529186757526183635028344220105663
Thu Feb  2 21:45:36 2023  prp74 factor: 34779866839618939670942706520853131111048301886084581274397878542961772153
Thu Feb  2 21:45:36 2023  elapsed time 00:13:48 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.103).
Factorization parameters were as follows:
#
# N = 77x10^163+4 = 85(162)6
#
n: 51856461465366448590770521147580863209267198563155619150068256407666974430812431804640614882081875706659007116979475391002439
m: 100000000000000000000000000000000
deg: 5
c5: 19250
c0: 1
skew: 0.14
# Murphy_E = 3.999e-10
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 20300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1096318 hash collisions in 12793616 relations (12527362 unique)
Msieve: matrix is 605994 x 606219 (169.6 MB)

Sieving start time: 2023/02/02 19:31:18
Sieving end time  : 2023/02/02 21:31:39

Total sieving time: 2hrs 0min 21secs.

Total relation processing time: 0hrs 9min 52sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 22sec.

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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

77×10165+49

c159

name 名前Bob Backstrom
date 日付December 26, 2022 23:51:14 UTC 2022 年 12 月 27 日 (火) 8 時 51 分 14 秒 (日本時間)
composite number 合成数
445457356621797656237109939315286455807749213200819835917576088108271731209040919203685156479218905219471285853503121776725526509190433205080953717489741117077<159>
prime factors 素因数
8130673467086175052487889780140244572046693293599<49>
54787264354552680605847342075643831020192216621862282172844701406117411576429479839221733047213742294818155723<110>
factorization results 素因数分解の結果
Number: n
N=445457356621797656237109939315286455807749213200819835917576088108271731209040919203685156479218905219471285853503121776725526509190433205080953717489741117077  ( 159 digits)
SNFS difficulty: 166 digits.
Divisors found:

Tue Dec 27 10:40:15 2022  p49 factor: 8130673467086175052487889780140244572046693293599
Tue Dec 27 10:40:15 2022  p110 factor: 54787264354552680605847342075643831020192216621862282172844701406117411576429479839221733047213742294818155723
Tue Dec 27 10:40:15 2022  elapsed time 00:07:26 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.300).
Factorization parameters were as follows:
#
# N = 77x10^165+4 = 85(164)6
#
n: 445457356621797656237109939315286455807749213200819835917576088108271731209040919203685156479218905219471285853503121776725526509190433205080953717489741117077
m: 1000000000000000000000000000000000
deg: 5
c5: 77
c0: 4
skew: 0.55
# Murphy_E = 4.011e-10
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1228603 hash collisions in 12839416 relations (12413437 unique)
Msieve: matrix is 513076 x 513303 (176.3 MB)

Sieving start time : 2022/12/27 09:59:41
Sieving end time  : 2022/12/27 10:32:30

Total sieving time: 0hrs 32min 49secs.

Total relation processing time: 0hrs 3min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 30sec.

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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

77×10166+49

c159

name 名前Bob Backstrom
date 日付December 27, 2022 00:55:37 UTC 2022 年 12 月 27 日 (火) 9 時 55 分 37 秒 (日本時間)
composite number 合成数
134595169268063016244447598795855540234010601332222146380466323485622886974268760474427681011157668943592518901795684635133650279715995410946589597430792032713<159>
prime factors 素因数
155809312039511853003433969323348388556897<42>
68653711593178793660572238372510607189754712565827<50>
12582647836432338823619408530365734235404801427927262841127727443427<68>
factorization results 素因数分解の結果
Number: n
N=134595169268063016244447598795855540234010601332222146380466323485622886974268760474427681011157668943592518901795684635133650279715995410946589597430792032713  ( 159 digits)
SNFS difficulty: 167 digits.
Divisors found:

Tue Dec 27 11:37:10 2022  found factor: 12582647836432338823619408530365734235404801427927262841127727443427
Tue Dec 27 11:37:48 2022  p42 factor: 155809312039511853003433969323348388556897
Tue Dec 27 11:37:48 2022  p50 factor: 68653711593178793660572238372510607189754712565827
Tue Dec 27 11:37:48 2022  p68 factor: 12582647836432338823619408530365734235404801427927262841127727443427
Tue Dec 27 11:37:48 2022  elapsed time 00:09:53 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.339).
Factorization parameters were as follows:
#
# N = 77x10^166+4 = 85(165)6
#
n: 134595169268063016244447598795855540234010601332222146380466323485622886974268760474427681011157668943592518901795684635133650279715995410946589597430792032713
m: 1000000000000000000000000000000000
deg: 5
c5: 385
c0: 2
skew: 0.35
# Murphy_E = 3.03e-10
type: snfs
lss: 1
rlim: 4300000
alim: 4300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4300000/4300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1353823 hash collisions in 12370724 relations (11745222 unique)
Msieve: matrix is 596386 x 596612 (205.3 MB)

Sieving start time : 2022/12/27 10:45:58
Sieving end time  : 2022/12/27 11:27:38

Total sieving time: 0hrs 41min 40secs.

Total relation processing time: 0hrs 5min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 53sec.

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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

77×10167+49

c131

name 名前Bob Backstrom
date 日付January 1, 2023 00:18:03 UTC 2023 年 1 月 1 日 (日) 9 時 18 分 3 秒 (日本時間)
composite number 合成数
96013083271814212082925982799277155149221279546579077343012147911362529112700315475086086775307536072016804417017013234356575852487<131>
prime factors 素因数
872644493280976792625976500077389792319<39>
110025427320148825378776643432498373462143299365449018678398211756985844277181345965443082873<93>
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 96013083271814212082925982799277155149221279546579077343012147911362529112700315475086086775307536072016804417017013234356575852487 (131 digits)
Using B1=26100000, B2=96191014936, polynomial Dickson(12), sigma=1:3923575023
Step 1 took 41084ms
Step 2 took 15434ms
********** Factor found in step 2: 872644493280976792625976500077389792319
Found prime factor of 39 digits: 872644493280976792625976500077389792319
Prime cofactor 110025427320148825378776643432498373462143299365449018678398211756985844277181345965443082873 has 93 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

77×10168+49

c118

name 名前Eric Jeancolas
date 日付January 1, 2023 01:33:22 UTC 2023 年 1 月 1 日 (日) 10 時 33 分 22 秒 (日本時間)
composite number 合成数
2071152175731530614173120069764364333005592820873556875750020682763660699466348186228838575825778814937300106969846637<118>
prime factors 素因数
308142229131289705018166022664184154433<39>
6721416216045733419628628905895850912541932028194147344571927904473959243903789<79>
factorization results 素因数分解の結果
2071152175731530614173120069764364333005592820873556875750020682763660699466348186228838575825778814937300106969846637=308142229131289705018166022664184154433*6721416216045733419628628905895850912541932028194147344571927904473959243903789

cado polynomial
n: 2071152175731530614173120069764364333005592820873556875750020682763660699466348186228838575825778814937300106969846637
skew: 70178.391
c0: -3453696636292564423483777650
c1: -194188917338893260528499
c2: 3679776712117624914
c3: 20191438483867
c4: -149671224
c5: 2880
Y0: -111540702559854786743626
Y1: 673123788476317
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.862e-06
# f(x) = 2880*x^5-149671224*x^4+20191438483867*x^3+3679776712117624914*x^2-194188917338893260528499*x-3453696636292564423483777650
# g(x) = 673123788476317*x-111540702559854786743626

cado parameters (extracts)
tasks.lim0 = 3000000
tasks.lim1 = 5500000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 308142229131289705018166022664184154433 6721416216045733419628628905895850912541932028194147344571927904473959243903789
Info:Square Root: Total cpu/real time for sqrt: 622.08/83.7481
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 19941/34.550/41.847/46.940/1.024
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15656/33.590/37.026/42.320/0.803
Info:Polynomial Selection (size optimized): Total time: 3164.36
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1268.1
Info:Polynomial Selection (root optimized): Rootsieve time: 1217.91
Info:Generate Factor Base: Total cpu/real time for makefb: 10.5/1.56456
Info:Generate Free Relations: Total cpu/real time for freerel: 133.14/16.76
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13446124
Info:Lattice Sieving: Average J: 1902.35 for 192361 special-q, max bucket fill -bkmult 1.0,1s:1.232410
Info:Lattice Sieving: Total time: 41298.2s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 32.32/59.2746
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 59.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 151.43/106.901
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 102.0s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 78.42/65.5967
Info:Filtering - Merging: Merged matrix has 551587 rows and total weight 55292986 (100.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 38.2/6.96927
Info:Filtering - Merging: Total cpu/real time for replay: 11.33/9.07996
Info:Linear Algebra: Total cpu/real time for bwc: 1981.75/524.17
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 310.36, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (17408 iterations)
Info:Linear Algebra: Lingen CPU time 53.37, WCT time 14.52
Info:Linear Algebra: Mksol: WCT time 188.52, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8704 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 23.13/5.19324
Info:Square Root: Total cpu/real time for sqrt: 622.08/83.7481
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 102509/11946.4
Info:root: Cleaning up computation data in /tmp/cado.7u8kc4ai
308142229131289705018166022664184154433 6721416216045733419628628905895850912541932028194147344571927904473959243903789
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 JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

77×10169+49

c162

name 名前Bob Backstrom
date 日付December 28, 2022 22:00:59 UTC 2022 年 12 月 29 日 (木) 7 時 0 分 59 秒 (日本時間)
composite number 合成数
470529494808956066714844487178788671166214343607920487271447539162151520631433862959621673949522187319688667279029639219957718977332277030059968654131677818447903<162>
prime factors 素因数
162408470985619144438855205465491778962532053313<48>
2897197984522742366451475656734000047077656474015095593187309074963624322817329057190069221719919443065810998190431<115>
factorization results 素因数分解の結果
Number: n
N=470529494808956066714844487178788671166214343607920487271447539162151520631433862959621673949522187319688667279029639219957718977332277030059968654131677818447903  ( 162 digits)
SNFS difficulty: 170 digits.
Divisors found:

Thu Dec 29 08:52:35 2022  p48 factor: 162408470985619144438855205465491778962532053313
Thu Dec 29 08:52:35 2022  p115 factor: 2897197984522742366451475656734000047077656474015095593187309074963624322817329057190069221719919443065810998190431
Thu Dec 29 08:52:35 2022  elapsed time 00:18:31 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.310).
Factorization parameters were as follows:
#
# N = 77x10^169+4 = 85(168)6
#
n: 470529494808956066714844487178788671166214343607920487271447539162151520631433862959621673949522187319688667279029639219957718977332277030059968654131677818447903
m: 5000000000000000000000000000000000
deg: 5
c5: 308
c0: 5
skew: 0.44
# Murphy_E = 2.065e-10
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 58500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1166735 hash collisions in 13671779 relations (13411736 unique)
Msieve: matrix is 862719 x 862944 (295.6 MB)

Sieving start time : 2022/12/29 02:06:36
Sieving end time  : 2022/12/29 08:32:35

Total sieving time: 6hrs 25min 59secs.

Total relation processing time: 0hrs 11min 5sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 49sec.

Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000
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 JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

77×10170+49

c121

name 名前Eric Jeancolas
date 日付January 3, 2023 19:05:04 UTC 2023 年 1 月 4 日 (水) 4 時 5 分 4 秒 (日本時間)
composite number 合成数
2287199799498534734540706503994615624249565350570396717843016818867156100122119897140442313055572416621566282437400324703<121>
prime factors 素因数
19603024160101027535468424437550372751239207470291939<53>
116675864949132790308015867455199020306984106372180492550993821038677<69>
factorization results 素因数分解の結果
2287199799498534734540706503994615624249565350570396717843016818867156100122119897140442313055572416621566282437400324703=19603024160101027535468424437550372751239207470291939*116675864949132790308015867455199020306984106372180492550993821038677

cado polynomial
n: 2287199799498534734540706503994615624249565350570396717843016818867156100122119897140442313055572416621566282437400324703
skew: 13367.644
c0: 305028435890660887898779968
c1: 92016860392517428921774
c2: -6505412023626612843
c3: 189698831040851
c4: 9707087370
c5: -1305000
Y0: -142001104619749740634109
Y1: 1492474809706675079
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.411e-06
# f(x) = -1305000*x^5+9707087370*x^4+189698831040851*x^3-6505412023626612843*x^2+92016860392517428921774*x+305028435890660887898779968
# g(x) = 1492474809706675079*x-142001104619749740634109

cado parameters (extracts)
tasks.lim0 = 3000000
tasks.lim1 = 5500000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 19603024160101027535468424437550372751239207470291939 116675864949132790308015867455199020306984106372180492550993821038677
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20216/35.280/43.042/48.880/1.047
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16232/34.820/38.117/43.600/0.864
Info:Polynomial Selection (size optimized): Total time: 3043.69
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2056.53
Info:Polynomial Selection (root optimized): Rootsieve time: 2008.43
Info:Generate Factor Base: Total cpu/real time for makefb: 5.22/0.87324
Info:Generate Free Relations: Total cpu/real time for freerel: 132.19/16.6209
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13587523
Info:Lattice Sieving: Average J: 1895.08 for 276390 special-q, max bucket fill -bkmult 1.0,1s:1.275560
Info:Lattice Sieving: Total time: 55450.1s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 33.22/56.7499
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 56.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 174.45/125.345
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 116.10000000000001s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 86.36/84.5169
Info:Filtering - Merging: Merged matrix has 740394 rows and total weight 75054099 (101.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 51.36/9.46962
Info:Filtering - Merging: Total cpu/real time for replay: 16.51/13.0363
Info:Linear Algebra: Total cpu/real time for bwc: 3595.01/954.01
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 582.65, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (23296 iterations)
Info:Linear Algebra: Lingen CPU time 74.4, WCT time 20.2
Info:Linear Algebra: Mksol: WCT time 335.63, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11776 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 27/6.70298
Info:Square Root: Total cpu/real time for sqrt: 1131.12/149.777
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 138409/15984.7
Info:root: Cleaning up computation data in /tmp/cado.hjs7055x
19603024160101027535468424437550372751239207470291939 116675864949132790308015867455199020306984106372180492550993821038677
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 JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

77×10171+49

c121

name 名前Eric Jeancolas
date 日付January 4, 2023 04:19:19 UTC 2023 年 1 月 4 日 (水) 13 時 19 分 19 秒 (日本時間)
composite number 合成数
7123688030073367857443904981028987824076878952840286696028861320075362961532250596697792058297508656457252145777466023627<121>
prime factors 素因数
857090524420493379357524560457981361682558370660939446722839<60>
8311476824329523073959265142717034648060443514891483708176493<61>
factorization results 素因数分解の結果
7123688030073367857443904981028987824076878952840286696028861320075362961532250596697792058297508656457252145777466023627=857090524420493379357524560457981361682558370660939446722839*8311476824329523073959265142717034648060443514891483708176493

cado polynomial
n: 7123688030073367857443904981028987824076878952840286696028861320075362961532250596697792058297508656457252145777466023627
skew: 25066.054
c0: -34670010219253057570678317
c1: -279221829377022701274276
c2: -42188707724220313343
c3: 515693295941696
c4: -4250935920
c5: 403200
Y0: -206231142888710436129062
Y1: 113594662090779161
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.325e-06
# f(x) = 403200*x^5-4250935920*x^4+515693295941696*x^3-42188707724220313343*x^2-279221829377022701274276*x-34670010219253057570678317
# g(x) = 113594662090779161*x-206231142888710436129062

cado parameters (extracts)
tasks.lim0 = 3000000
tasks.lim1 = 5500000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 857090524420493379357524560457981361682558370660939446722839 8311476824329523073959265142717034648060443514891483708176493
Info:Square Root: Total cpu/real time for sqrt: 1113.04/147.277
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20282/35.860/43.221/48.450/1.035
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16243/34.620/38.282/43.780/0.851
Info:Polynomial Selection (size optimized): Total time: 3057.68
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1907.28
Info:Polynomial Selection (root optimized): Rootsieve time: 1857.79
Info:Generate Factor Base: Total cpu/real time for makefb: 5.28/0.880969
Info:Generate Free Relations: Total cpu/real time for freerel: 132.17/16.618
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13419860
Info:Lattice Sieving: Average J: 1891.05 for 269956 special-q, max bucket fill -bkmult 1.0,1s:1.248640
Info:Lattice Sieving: Total time: 53387.5s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 32.79/55.958
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 55.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 150.12/105.535
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 101.2s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 58.76/48.7215
Info:Filtering - Merging: Merged matrix has 731921 rows and total weight 74253039 (101.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 50.91/9.3673
Info:Filtering - Merging: Total cpu/real time for replay: 16.06/12.802
Info:Linear Algebra: Total cpu/real time for bwc: 3471.48/917.17
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 554.58, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (23040 iterations)
Info:Linear Algebra: Lingen CPU time 74.79, WCT time 20.32
Info:Linear Algebra: Mksol: WCT time 327.09, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11520 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 26.2/6.52352
Info:Square Root: Total cpu/real time for sqrt: 1113.04/147.277
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 134337/15522.8
Info:root: Cleaning up computation data in /tmp/cado.31fnx3hf
857090524420493379357524560457981361682558370660939446722839 8311476824329523073959265142717034648060443514891483708176493
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 JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

77×10172+49

c160

name 名前Bob Backstrom
date 日付January 2, 2023 00:46:36 UTC 2023 年 1 月 2 日 (月) 9 時 46 分 36 秒 (日本時間)
composite number 合成数
2905152492662644020208794094237745867260803946038191232721046662255180343343831395687259892946363355763412140664450050099591676431672378600651449040157285182711<160>
prime factors 素因数
37375767702559064156990785307535045328721<41>
77728235999918537525458821591698500141118354293013609303801663585129993193944149536174757893012378450019179801594357191<119>
factorization results 素因数分解の結果
Number: n
N=2905152492662644020208794094237745867260803946038191232721046662255180343343831395687259892946363355763412140664450050099591676431672378600651449040157285182711  ( 160 digits)
SNFS difficulty: 173 digits.
Divisors found:

Mon Jan  2 11:35:10 2023  p41 factor: 37375767702559064156990785307535045328721
Mon Jan  2 11:35:10 2023  p119 factor: 77728235999918537525458821591698500141118354293013609303801663585129993193944149536174757893012378450019179801594357191
Mon Jan  2 11:35:10 2023  elapsed time 00:13:19 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.295).
Factorization parameters were as follows:
#
# N = 77x10^172+4 = 85(171)6
#
n: 2905152492662644020208794094237745867260803946038191232721046662255180343343831395687259892946363355763412140664450050099591676431672378600651449040157285182711
m: 10000000000000000000000000000000000
deg: 5
c5: 1925
c0: 1
skew: 0.22
# Murphy_E = 1.856e-10
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1288519 hash collisions in 12024043 relations (11447174 unique)
Msieve: matrix is 802689 x 802915 (278.1 MB)

Sieving start time : 2023/01/02 10:32:04
Sieving end time  : 2023/01/02 11:21:34

Total sieving time: 0hrs 49min 30secs.

Total relation processing time: 0hrs 9min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 3sec.

Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,100000
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 JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

77×10174+49

c148

name 名前Bob Backstrom
date 日付January 2, 2023 05:26:57 UTC 2023 年 1 月 2 日 (月) 14 時 26 分 57 秒 (日本時間)
composite number 合成数
1828380874449167112856280910664814714678022695379580590415768569508086049187772576578885247448560094638672339558456909069290205165530593057701863183<148>
prime factors 素因数
31105747130687522048915533464447229780681168489<47>
58779519642058984907516724648689043442710547811722008176751339532729600114901566219776164420406577847<101>
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 1828380874449167112856280910664814714678022695379580590415768569508086049187772576578885247448560094638672339558456909069290205165530593057701863183 (148 digits)
Using B1=27150000, B2=144286522396, polynomial Dickson(12), sigma=1:2587927534
Step 1 took 56177ms
Step 2 took 23318ms
********** Factor found in step 2: 31105747130687522048915533464447229780681168489
Found prime factor of 47 digits: 31105747130687522048915533464447229780681168489
Prime cofactor 58779519642058984907516724648689043442710547811722008176751339532729600114901566219776164420406577847 has 101 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

77×10178+49

c117

name 名前Ignacio Santos
date 日付December 27, 2022 13:31:32 UTC 2022 年 12 月 27 日 (火) 22 時 31 分 32 秒 (日本時間)
composite number 合成数
242054090201654035727007793220040925112165049186571096083402112813023804375846351819487581517289482856895880054906681<117>
prime factors 素因数
254308802276845650063109920717604745010844914043729673<54>
951811687344384998543959144290632021990188212484295264590430897<63>
factorization results 素因数分解の結果
-> makeJobFile(): Adjusted to q0=1800000, q1=1900000.
->               client 1 q0: 1800000
      LatSieveTime: 91
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-> makeJobFile(): Adjusted to q0=1900001, q1=2000000.
->               client 1 q0: 1900001
      LatSieveTime: 90
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-> makeJobFile(): Adjusted to q0=2000001, q1=2100000.
->               client 1 q0: 2000001
      LatSieveTime: 95
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-> makeJobFile(): Adjusted to q0=2100001, q1=2200000.
->               client 1 q0: 2100001
      LatSieveTime: 99
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-> makeJobFile(): Adjusted to q0=2200001, q1=2300000.
->               client 1 q0: 2200001
      LatSieveTime: 93
        LatSieveTime: 105
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-> makeJobFile(): Adjusted to q0=2300001, q1=2400000.
->               client 1 q0: 2300001
      LatSieveTime: 103
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-> makeJobFile(): Adjusted to q0=2400001, q1=2500000.
->               client 1 q0: 2400001
      LatSieveTime: 97
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-> makeJobFile(): Adjusted to q0=2500001, q1=2600000.
->               client 1 q0: 2500001
      LatSieveTime: 109
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-> makeJobFile(): Adjusted to q0=2600001, q1=2700000.
->               client 1 q0: 2600001
      LatSieveTime: 107
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-> makeJobFile(): Adjusted to q0=2700001, q1=2800000.
->               client 1 q0: 2700001
      LatSieveTime: 97
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-> makeJobFile(): Adjusted to q0=2800001, q1=2900000.
->               client 1 q0: 2800001
      LatSieveTime: 98
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-> makeJobFile(): Adjusted to q0=2900001, q1=3000000.
->               client 1 q0: 2900001
      LatSieveTime: 102
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-> makeJobFile(): Adjusted to q0=3000001, q1=3100000.
->               client 1 q0: 3000001
      LatSieveTime: 97
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Tue Dec 27 14:17:14 2022  
Tue Dec 27 14:17:14 2022  
Tue Dec 27 14:17:14 2022  Msieve v. 1.52 (SVN 927)
Tue Dec 27 14:17:14 2022  random seeds: 4aeffba8 7824326e
Tue Dec 27 14:17:14 2022  factoring 242054090201654035727007793220040925112165049186571096083402112813023804375846351819487581517289482856895880054906681 (117 digits)
Tue Dec 27 14:17:14 2022  searching for 15-digit factors
Tue Dec 27 14:17:14 2022  commencing number field sieve (117-digit input)
Tue Dec 27 14:17:14 2022  R0: -30738981554517593539199
Tue Dec 27 14:17:14 2022  R1: 2429731373927
Tue Dec 27 14:17:14 2022  A0: 10842426122125543014685268784
Tue Dec 27 14:17:14 2022  A1: 2685260434834370791479956
Tue Dec 27 14:17:14 2022  A2: 10236349711517383248
Tue Dec 27 14:17:14 2022  A3: -710011897647331
Tue Dec 27 14:17:14 2022  A4: -907190462
Tue Dec 27 14:17:14 2022  A5: 8820
Tue Dec 27 14:17:14 2022  skew 119154.01, size 2.771e-011, alpha -6.187, combined = 3.801e-010 rroots = 5
Tue Dec 27 14:17:14 2022  
Tue Dec 27 14:17:14 2022  commencing relation filtering
Tue Dec 27 14:17:14 2022  estimated available RAM is 65413.5 MB
Tue Dec 27 14:17:14 2022  commencing duplicate removal, pass 1
Tue Dec 27 14:17:33 2022  found 779919 hash collisions in 9075331 relations
Tue Dec 27 14:17:43 2022  added 61949 free relations
Tue Dec 27 14:17:43 2022  commencing duplicate removal, pass 2
Tue Dec 27 14:17:46 2022  found 566410 duplicates and 8570870 unique relations
Tue Dec 27 14:17:46 2022  memory use: 32.6 MB
Tue Dec 27 14:17:46 2022  reading ideals above 100000
Tue Dec 27 14:17:46 2022  commencing singleton removal, initial pass
Tue Dec 27 14:18:17 2022  memory use: 188.3 MB
Tue Dec 27 14:18:17 2022  reading all ideals from disk
Tue Dec 27 14:18:17 2022  memory use: 297.5 MB
Tue Dec 27 14:18:18 2022  keeping 9952942 ideals with weight <= 200, target excess is 45100
Tue Dec 27 14:18:18 2022  commencing in-memory singleton removal
Tue Dec 27 14:18:18 2022  begin with 8570870 relations and 9952942 unique ideals
Tue Dec 27 14:18:22 2022  reduce to 2218442 relations and 2278202 ideals in 24 passes
Tue Dec 27 14:18:22 2022  max relations containing the same ideal: 84
Tue Dec 27 14:18:22 2022  filtering wants 1000000 more relations
Tue Dec 27 14:18:22 2022  elapsed time 00:01:08
-> makeJobFile(): Adjusted to q0=3100001, q1=3200000.
->               client 1 q0: 3100001
     LatSieveTime: 95
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 126
        LatSieveTime: 126
        LatSieveTime: 126
        LatSieveTime: 127
        LatSieveTime: 128
        LatSieveTime: 128
        LatSieveTime: 129
        LatSieveTime: 129
        LatSieveTime: 129
        LatSieveTime: 130
        LatSieveTime: 131
        LatSieveTime: 132
        LatSieveTime: 132
        LatSieveTime: 132
        LatSieveTime: 133
        LatSieveTime: 132
        LatSieveTime: 133
        LatSieveTime: 134
        LatSieveTime: 134
        LatSieveTime: 136
        LatSieveTime: 136
        LatSieveTime: 138
        LatSieveTime: 139
        LatSieveTime: 139
        LatSieveTime: 141
Tue Dec 27 14:20:48 2022  
Tue Dec 27 14:20:48 2022  
Tue Dec 27 14:20:48 2022  Msieve v. 1.52 (SVN 927)
Tue Dec 27 14:20:48 2022  random seeds: a1d30010 7a772b3e
Tue Dec 27 14:20:48 2022  factoring 242054090201654035727007793220040925112165049186571096083402112813023804375846351819487581517289482856895880054906681 (117 digits)
Tue Dec 27 14:20:48 2022  searching for 15-digit factors
Tue Dec 27 14:20:48 2022  commencing number field sieve (117-digit input)
Tue Dec 27 14:20:48 2022  R0: -30738981554517593539199
Tue Dec 27 14:20:48 2022  R1: 2429731373927
Tue Dec 27 14:20:48 2022  A0: 10842426122125543014685268784
Tue Dec 27 14:20:48 2022  A1: 2685260434834370791479956
Tue Dec 27 14:20:48 2022  A2: 10236349711517383248
Tue Dec 27 14:20:48 2022  A3: -710011897647331
Tue Dec 27 14:20:48 2022  A4: -907190462
Tue Dec 27 14:20:48 2022  A5: 8820
Tue Dec 27 14:20:48 2022  skew 119154.01, size 2.771e-011, alpha -6.187, combined = 3.801e-010 rroots = 5
Tue Dec 27 14:20:48 2022  
Tue Dec 27 14:20:48 2022  commencing relation filtering
Tue Dec 27 14:20:48 2022  estimated available RAM is 65413.5 MB
Tue Dec 27 14:20:48 2022  commencing duplicate removal, pass 1
Tue Dec 27 14:21:09 2022  found 893067 hash collisions in 9859406 relations
Tue Dec 27 14:21:19 2022  added 269 free relations
Tue Dec 27 14:21:19 2022  commencing duplicate removal, pass 2
Tue Dec 27 14:21:22 2022  found 645924 duplicates and 9213751 unique relations
Tue Dec 27 14:21:22 2022  memory use: 34.6 MB
Tue Dec 27 14:21:22 2022  reading ideals above 100000
Tue Dec 27 14:21:22 2022  commencing singleton removal, initial pass
Tue Dec 27 14:21:56 2022  memory use: 344.5 MB
Tue Dec 27 14:21:56 2022  reading all ideals from disk
Tue Dec 27 14:21:56 2022  memory use: 320.0 MB
Tue Dec 27 14:21:56 2022  keeping 10264411 ideals with weight <= 200, target excess is 48780
Tue Dec 27 14:21:57 2022  commencing in-memory singleton removal
Tue Dec 27 14:21:57 2022  begin with 9213751 relations and 10264411 unique ideals
Tue Dec 27 14:22:01 2022  reduce to 3048473 relations and 2922880 ideals in 20 passes
Tue Dec 27 14:22:01 2022  max relations containing the same ideal: 99
Tue Dec 27 14:22:02 2022  removing 383811 relations and 349308 ideals in 34504 cliques
Tue Dec 27 14:22:02 2022  commencing in-memory singleton removal
Tue Dec 27 14:22:02 2022  begin with 2664662 relations and 2922880 unique ideals
Tue Dec 27 14:22:03 2022  reduce to 2621491 relations and 2529720 ideals in 11 passes
Tue Dec 27 14:22:03 2022  max relations containing the same ideal: 91
Tue Dec 27 14:22:03 2022  removing 282296 relations and 247792 ideals in 34504 cliques
Tue Dec 27 14:22:03 2022  commencing in-memory singleton removal
Tue Dec 27 14:22:03 2022  begin with 2339195 relations and 2529720 unique ideals
Tue Dec 27 14:22:04 2022  reduce to 2311965 relations and 2254344 ideals in 10 passes
Tue Dec 27 14:22:04 2022  max relations containing the same ideal: 84
Tue Dec 27 14:22:04 2022  relations with 0 large ideals: 127
Tue Dec 27 14:22:04 2022  relations with 1 large ideals: 523
Tue Dec 27 14:22:04 2022  relations with 2 large ideals: 8122
Tue Dec 27 14:22:04 2022  relations with 3 large ideals: 62327
Tue Dec 27 14:22:04 2022  relations with 4 large ideals: 250140
Tue Dec 27 14:22:04 2022  relations with 5 large ideals: 552466
Tue Dec 27 14:22:04 2022  relations with 6 large ideals: 696261
Tue Dec 27 14:22:04 2022  relations with 7+ large ideals: 741999
Tue Dec 27 14:22:04 2022  commencing 2-way merge
Tue Dec 27 14:22:05 2022  reduce to 1269301 relation sets and 1211681 unique ideals
Tue Dec 27 14:22:05 2022  ignored 1 oversize relation sets
Tue Dec 27 14:22:05 2022  commencing full merge
Tue Dec 27 14:22:18 2022  memory use: 134.4 MB
Tue Dec 27 14:22:18 2022  found 633099 cycles, need 625881
Tue Dec 27 14:22:19 2022  weight of 625881 cycles is about 44060059 (70.40/cycle)
Tue Dec 27 14:22:19 2022  distribution of cycle lengths:
Tue Dec 27 14:22:19 2022  1 relations: 75283
Tue Dec 27 14:22:19 2022  2 relations: 74821
Tue Dec 27 14:22:19 2022  3 relations: 73749
Tue Dec 27 14:22:19 2022  4 relations: 65518
Tue Dec 27 14:22:19 2022  5 relations: 57101
Tue Dec 27 14:22:19 2022  6 relations: 49243
Tue Dec 27 14:22:19 2022  7 relations: 42316
Tue Dec 27 14:22:19 2022  8 relations: 35330
Tue Dec 27 14:22:19 2022  9 relations: 29573
Tue Dec 27 14:22:19 2022  10+ relations: 122947
Tue Dec 27 14:22:19 2022  heaviest cycle: 23 relations
Tue Dec 27 14:22:19 2022  commencing cycle optimization
Tue Dec 27 14:22:19 2022  start with 3742764 relations
Tue Dec 27 14:22:23 2022  pruned 65164 relations
Tue Dec 27 14:22:23 2022  memory use: 130.3 MB
Tue Dec 27 14:22:23 2022  distribution of cycle lengths:
Tue Dec 27 14:22:23 2022  1 relations: 75283
Tue Dec 27 14:22:23 2022  2 relations: 76244
Tue Dec 27 14:22:23 2022  3 relations: 75926
Tue Dec 27 14:22:23 2022  4 relations: 66434
Tue Dec 27 14:22:23 2022  5 relations: 57919
Tue Dec 27 14:22:23 2022  6 relations: 49432
Tue Dec 27 14:22:23 2022  7 relations: 42535
Tue Dec 27 14:22:23 2022  8 relations: 34974
Tue Dec 27 14:22:23 2022  9 relations: 29328
Tue Dec 27 14:22:23 2022  10+ relations: 117806
Tue Dec 27 14:22:23 2022  heaviest cycle: 23 relations
Tue Dec 27 14:22:24 2022  RelProcTime: 96
Tue Dec 27 14:22:24 2022  elapsed time 00:01:36
Tue Dec 27 14:22:24 2022  
Tue Dec 27 14:22:24 2022  
Tue Dec 27 14:22:24 2022  Msieve v. 1.52 (SVN 927)
Tue Dec 27 14:22:24 2022  random seeds: d6887270 d4db0cf3
Tue Dec 27 14:22:24 2022  factoring 242054090201654035727007793220040925112165049186571096083402112813023804375846351819487581517289482856895880054906681 (117 digits)
Tue Dec 27 14:22:24 2022  searching for 15-digit factors
Tue Dec 27 14:22:24 2022  commencing number field sieve (117-digit input)
Tue Dec 27 14:22:24 2022  R0: -30738981554517593539199
Tue Dec 27 14:22:24 2022  R1: 2429731373927
Tue Dec 27 14:22:24 2022  A0: 10842426122125543014685268784
Tue Dec 27 14:22:24 2022  A1: 2685260434834370791479956
Tue Dec 27 14:22:24 2022  A2: 10236349711517383248
Tue Dec 27 14:22:24 2022  A3: -710011897647331
Tue Dec 27 14:22:24 2022  A4: -907190462
Tue Dec 27 14:22:24 2022  A5: 8820
Tue Dec 27 14:22:24 2022  skew 119154.01, size 2.771e-011, alpha -6.187, combined = 3.801e-010 rroots = 5
Tue Dec 27 14:22:24 2022  
Tue Dec 27 14:22:24 2022  commencing linear algebra
Tue Dec 27 14:22:24 2022  read 625881 cycles
Tue Dec 27 14:22:25 2022  cycles contain 2232724 unique relations
Tue Dec 27 14:22:30 2022  read 2232724 relations
Tue Dec 27 14:22:31 2022  using 20 quadratic characters above 134216792
Tue Dec 27 14:22:37 2022  building initial matrix
Tue Dec 27 14:22:48 2022  memory use: 276.5 MB
Tue Dec 27 14:22:48 2022  read 625881 cycles
Tue Dec 27 14:22:48 2022  matrix is 625702 x 625881 (188.3 MB) with weight 59227248 (94.63/col)
Tue Dec 27 14:22:48 2022  sparse part has weight 42488081 (67.89/col)
Tue Dec 27 14:22:51 2022  filtering completed in 2 passes
Tue Dec 27 14:22:51 2022  matrix is 623986 x 624165 (188.2 MB) with weight 59158060 (94.78/col)
Tue Dec 27 14:22:51 2022  sparse part has weight 42467219 (68.04/col)
Tue Dec 27 14:22:52 2022  matrix starts at (0, 0)
Tue Dec 27 14:22:52 2022  matrix is 623986 x 624165 (188.2 MB) with weight 59158060 (94.78/col)
Tue Dec 27 14:22:52 2022  sparse part has weight 42467219 (68.04/col)
Tue Dec 27 14:22:52 2022  saving the first 48 matrix rows for later
Tue Dec 27 14:22:52 2022  matrix includes 64 packed rows
Tue Dec 27 14:22:52 2022  matrix is 623938 x 624165 (181.0 MB) with weight 46935418 (75.20/col)
Tue Dec 27 14:22:52 2022  sparse part has weight 41201615 (66.01/col)
Tue Dec 27 14:22:52 2022  using block size 8192 and superblock size 12582912 for processor cache size 131072 kB
Tue Dec 27 14:22:54 2022  commencing Lanczos iteration (32 threads)
Tue Dec 27 14:22:54 2022  memory use: 140.6 MB
Tue Dec 27 14:22:56 2022  linear algebra at 0.5%, ETA 0h 6m
Tue Dec 27 14:27:50 2022  lanczos halted after 9866 iterations (dim = 623936)
Tue Dec 27 14:27:50 2022  recovered 29 nontrivial dependencies
Tue Dec 27 14:27:50 2022  BLanczosTime: 326
Tue Dec 27 14:27:50 2022  elapsed time 00:05:26
Tue Dec 27 14:27:50 2022  
Tue Dec 27 14:27:50 2022  
Tue Dec 27 14:27:50 2022  Msieve v. 1.52 (SVN 927)
Tue Dec 27 14:27:50 2022  random seeds: b2db54f0 e9b0f1d1
Tue Dec 27 14:27:50 2022  factoring 242054090201654035727007793220040925112165049186571096083402112813023804375846351819487581517289482856895880054906681 (117 digits)
Tue Dec 27 14:27:51 2022  searching for 15-digit factors
Tue Dec 27 14:27:51 2022  commencing number field sieve (117-digit input)
Tue Dec 27 14:27:51 2022  R0: -30738981554517593539199
Tue Dec 27 14:27:51 2022  R1: 2429731373927
Tue Dec 27 14:27:51 2022  A0: 10842426122125543014685268784
Tue Dec 27 14:27:51 2022  A1: 2685260434834370791479956
Tue Dec 27 14:27:51 2022  A2: 10236349711517383248
Tue Dec 27 14:27:51 2022  A3: -710011897647331
Tue Dec 27 14:27:51 2022  A4: -907190462
Tue Dec 27 14:27:51 2022  A5: 8820
Tue Dec 27 14:27:51 2022  skew 119154.01, size 2.771e-011, alpha -6.187, combined = 3.801e-010 rroots = 5
Tue Dec 27 14:27:51 2022  
Tue Dec 27 14:27:51 2022  commencing square root phase
Tue Dec 27 14:27:51 2022  reading relations for dependency 1
Tue Dec 27 14:27:51 2022  read 311851 cycles
Tue Dec 27 14:27:51 2022  cycles contain 1116022 unique relations
Tue Dec 27 14:27:54 2022  read 1116022 relations
Tue Dec 27 14:27:56 2022  multiplying 1116022 relations
Tue Dec 27 14:28:22 2022  multiply complete, coefficients have about 48.43 million bits
Tue Dec 27 14:28:22 2022  initial square root is modulo 8969657
Tue Dec 27 14:28:58 2022  GCD is 1, no factor found
Tue Dec 27 14:28:58 2022  reading relations for dependency 2
Tue Dec 27 14:28:58 2022  read 311297 cycles
Tue Dec 27 14:28:58 2022  cycles contain 1113670 unique relations
Tue Dec 27 14:29:01 2022  read 1113670 relations
Tue Dec 27 14:29:03 2022  multiplying 1113670 relations
Tue Dec 27 14:29:28 2022  multiply complete, coefficients have about 48.33 million bits
Tue Dec 27 14:29:29 2022  initial square root is modulo 8673347
Tue Dec 27 14:30:04 2022  GCD is 1, no factor found
Tue Dec 27 14:30:04 2022  reading relations for dependency 3
Tue Dec 27 14:30:04 2022  read 311779 cycles
Tue Dec 27 14:30:04 2022  cycles contain 1114778 unique relations
Tue Dec 27 14:30:07 2022  read 1114778 relations
Tue Dec 27 14:30:10 2022  multiplying 1114778 relations
Tue Dec 27 14:30:35 2022  multiply complete, coefficients have about 48.37 million bits
Tue Dec 27 14:30:35 2022  initial square root is modulo 8799587
Tue Dec 27 14:31:10 2022  sqrtTime: 199
Tue Dec 27 14:31:10 2022  prp54 factor: 254308802276845650063109920717604745010844914043729673
Tue Dec 27 14:31:10 2022  prp63 factor: 951811687344384998543959144290632021990188212484295264590430897
Tue Dec 27 14:31:10 2022  elapsed time 00:03:20
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 JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 24, 2022 11:19:40 UTC 2022 年 12 月 24 日 (土) 20 時 19 分 40 秒 (日本時間)

77×10179+49

c125

name 名前Eric Jeancolas
date 日付December 26, 2022 06:38:21 UTC 2022 年 12 月 26 日 (月) 15 時 38 分 21 秒 (日本時間)
composite number 合成数
31519694092379676487149004401886492603225653409508925755392979999625349306674110691772700684829397569405129443979890313744119<125>
prime factors 素因数
60942105332682845431818455314518047759584127551562180321<56>
517207174256841342740502034187696447382867809400470320826752888039639<69>
factorization results 素因数分解の結果
31519694092379676487149004401886492603225653409508925755392979999625349306674110691772700684829397569405129443979890313744119=60942105332682845431818455314518047759584127551562180321*517207174256841342740502034187696447382867809400470320826752888039639

cado polynomial
n: 31519694092379676487149004401886492603225653409508925755392979999625349306674110691772700684829397569405129443979890313744119
skew: 71600.916
c0: -440550177035826860928802790805
c1: -16369574168513107643089253
c2: 632262772746840247936
c3: 6342942015030610
c4: -53221129308
c5: 159120
Y0: -754639111565869949728316
Y1: 466496881772177929
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.519e-07
# f(x) = 159120*x^5-53221129308*x^4+6342942015030610*x^3+632262772746840247936*x^2-16369574168513107643089253*x-440550177035826860928802790805
# g(x) = 466496881772177929*x-754639111565869949728316

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: 517207174256841342740502034187696447382867809400470320826752888039639 60942105332682845431818455314518047759584127551562180321
Info:Square Root: Total cpu/real time for sqrt: 1053.89/163.158
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): 20159/36.650/44.345/48.490/0.878
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15913/36.270/39.722/45.110/0.934
Info:Polynomial Selection (size optimized): Total time: 2705.78
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2831.67
Info:Polynomial Selection (root optimized): Rootsieve time: 2783.13
Info:Generate Factor Base: Total cpu/real time for makefb: 12.59/1.90699
Info:Generate Free Relations: Total cpu/real time for freerel: 131.45/16.5373
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11746731
Info:Lattice Sieving: Average J: 3795.2 for 205549 special-q, max bucket fill -bkmult 1.0,1s:1.163130
Info:Lattice Sieving: Total time: 94601.7s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 30.59/71.8055
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 71.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 175.75/140.514
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 130.29999999999998s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 97.52/107.652
Info:Filtering - Merging: Merged matrix has 818296 rows and total weight 140302760 (171.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 167.81/25.3017
Info:Filtering - Merging: Total cpu/real time for replay: 27.4/22.3913
Info:Linear Algebra: Total cpu/real time for bwc: 6738.43/1757.89
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 1097.8, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25600 iterations)
Info:Linear Algebra: Lingen CPU time 82.04, WCT time 22.21
Info:Linear Algebra: Mksol: WCT time 610.92, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12800 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 41.42/10.0399
Info:Square Root: Total cpu/real time for sqrt: 1053.89/163.158
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 217684/125.145
517207174256841342740502034187696447382867809400470320826752888039639 60942105332682845431818455314518047759584127551562180321
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 JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 24, 2022 09:22:03 UTC 2022 年 12 月 24 日 (土) 18 時 22 分 3 秒 (日本時間)

77×10181+49

c171

name 名前Bob Backstrom
date 日付January 7, 2023 00:27:13 UTC 2023 年 1 月 7 日 (土) 9 時 27 分 13 秒 (日本時間)
composite number 合成数
461895086906269988287261434901159430715075996989048878388922195398574923475423081424234024291229943995493602631563141394319383133075175729789783743473181207802883877505749<171>
prime factors 素因数
1857098216890619994990088856868812485651<40>
248718717569839141610197946180527009072480222539863115664335055083733317179421360414533357002974806238497109740765647690158658081399<132>
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 461895086906269988287261434901159430715075996989048878388922195398574923475423081424234024291229943995493602631563141394319383133075175729789783743473181207802883877505749 (171 digits)
Using B1=26300000, B2=144285831706, polynomial Dickson(12), sigma=1:2682165215
Step 1 took 61974ms
Step 2 took 25251ms
********** Factor found in step 2: 1857098216890619994990088856868812485651
Found prime factor of 40 digits: 1857098216890619994990088856868812485651
Prime cofactor 248718717569839141610197946180527009072480222539863115664335055083733317179421360414533357002974806238497109740765647690158658081399 has 132 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

77×10182+49

c145

name 名前Bob Backstrom
date 日付January 8, 2023 02:36:34 UTC 2023 年 1 月 8 日 (日) 11 時 36 分 34 秒 (日本時間)
composite number 合成数
5378025074795195938636576030142158913277692592997148399708067639311925209173289404507191397056994621147847770554449667794806561767434629210877261<145>
prime factors 素因数
11013084374807657743232429521672383664542179<44>
488330506855771050094553241926477641307449922426661975510104823311649661830065138154399075710813465359<102>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 5378025074795195938636576030142158913277692592997148399708067639311925209173289404507191397056994621147847770554449667794806561767434629210877261 (145 digits)
Using B1=33760000, B2=144292738606, polynomial Dickson(12), sigma=1:2192961039
Step 1 took 67263ms
Step 2 took 21836ms
********** Factor found in step 2: 11013084374807657743232429521672383664542179
Found prime factor of 44 digits: 11013084374807657743232429521672383664542179
Prime cofactor 488330506855771050094553241926477641307449922426661975510104823311649661830065138154399075710813465359 has 102 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

77×10184+49

c183

name 名前Bob Backstrom
date 日付January 10, 2023 23:08:48 UTC 2023 年 1 月 11 日 (水) 8 時 8 分 48 秒 (日本時間)
composite number 合成数
168416447944006999125109361329833770778652668416447944006999125109361329833770778652668416447944006999125109361329833770778652668416447944006999125109361329833770778652668416447944007<183>
prime factors 素因数
622500417652761026720675496095645486963012922836380093<54>
270548329234940245760745281668010418941921427631254699981330971642771663083352629206573693707456226689036514016715066998686863699<129>
factorization results 素因数分解の結果
Number: n
N=168416447944006999125109361329833770778652668416447944006999125109361329833770778652668416447944006999125109361329833770778652668416447944006999125109361329833770778652668416447944007  ( 183 digits)
SNFS difficulty: 185 digits.
Divisors found:

Wed Jan 11 10:00:06 2023  prp54 factor: 622500417652761026720675496095645486963012922836380093
Wed Jan 11 10:00:06 2023  prp129 factor: 270548329234940245760745281668010418941921427631254699981330971642771663083352629206573693707456226689036514016715066998686863699
Wed Jan 11 10:00:06 2023  elapsed time 01:07:31 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.086).
Factorization parameters were as follows:
#
# N = 77x10^184+4 = 85(183)6
#
n: 168416447944006999125109361329833770778652668416447944006999125109361329833770778652668416447944006999125109361329833770778652668416447944006999125109361329833770778652668416447944007
m: 5000000000000000000000000000000000000
deg: 5
c5: 308
c0: 5
skew: 0.44
# Murphy_E = 5.143e-11
type: snfs
lss: 1
rlim: 8300000
alim: 8300000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8300000/8300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 29750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1248086 hash collisions in 13323676 relations (12925251 unique)
Msieve: matrix is 1471278 x 1471503 (414.1 MB)

Sieving start time: 2023/01/10 20:58:58
Sieving end time  : 2023/01/11 08:52:24

Total sieving time: 11hrs 53min 26secs.

Total relation processing time: 1hrs 1min 0sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 13sec.

Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,8300000,8300000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

77×10187+49

c187

name 名前Bob Backstrom
date 日付January 12, 2023 23:04:13 UTC 2023 年 1 月 13 日 (金) 8 時 4 分 13 秒 (日本時間)
composite number 合成数
1125730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625731<187>
prime factors 素因数
516140802217686734997559366779886327721157482547016993769<57>
2181054063765453376482859023870888061352496010337907384970872145852953135326181172758561300529884040738373005861186731340678815499<130>
factorization results 素因数分解の結果
Number: n
N=1125730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625731  ( 187 digits)
SNFS difficulty: 188 digits.
Divisors found:

Fri Jan 13 09:59:24 2023  prp57 factor: 516140802217686734997559366779886327721157482547016993769
Fri Jan 13 09:59:24 2023  prp130 factor: 2181054063765453376482859023870888061352496010337907384970872145852953135326181172758561300529884040738373005861186731340678815499
Fri Jan 13 09:59:24 2023  elapsed time 01:11:18 (Msieve 1.44 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.083).
Factorization parameters were as follows:
#
# N = 77x10^187+4 = 85(186)6
#
n: 1125730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625731
m: 10000000000000000000000000000000000000
deg: 5
c5: 1925
c0: 1
skew: 0.22
# Murphy_E = 4.593e-11
type: snfs
lss: 1
rlim: 9200000
alim: 9200000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9200000/9200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 37400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1405066 hash collisions in 14353531 relations (13868330 unique)
Msieve: matrix is 1431048 x 1431273 (402.1 MB)

Sieving start time: 2023/01/12 19:23:51
Sieving end time  : 2023/01/13 08:47:55

Total sieving time: 13hrs 24min 4secs.

Total relation processing time: 0hrs 59min 14sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 34sec.

Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9200000,9200000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

77×10188+49

c131

name 名前Eric Jeancolas
date 日付January 22, 2023 21:13:26 UTC 2023 年 1 月 23 日 (月) 6 時 13 分 26 秒 (日本時間)
composite number 合成数
52801078793282267088855778559562278862872500641059968315428942491978138321268298112858032220128300262743095449030494851703481943211<131>
prime factors 素因数
9480980047411377735523314301862409538482535740103<49>
5569158307394467545343309861058350573960699424832048681240570834052894277673859837<82>
factorization results 素因数分解の結果
52801078793282267088855778559562278862872500641059968315428942491978138321268298112858032220128300262743095449030494851703481943211=9480980047411377735523314301862409538482535740103*5569158307394467545343309861058350573960699424832048681240570834052894277673859837

cado polynomial
n: 52801078793282267088855778559562278862872500641059968315428942491978138321268298112858032220128300262743095449030494851703481943211
skew: 0.14
type: snfs
c0: 1
c5: 19250
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 19250*x^5+1
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 10000000
tasks.lim1 = 10000000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 9480980047411377735523314301862409538482535740103 5569158307394467545343309861058350573960699424832048681240570834052894277673859837
Info:Square Root: Total cpu/real time for sqrt: 2059.15/618.641
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 415.09/428.66
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 359.4000000000001s
Info:Square Root: Total cpu/real time for sqrt: 2059.15/618.641
Info:Generate Free Relations: Total cpu/real time for freerel: 119.01/31.2448
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 104.36/100.774
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 100.10000000000001s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 295.44/288.05
Info:Filtering - Merging: Merged matrix has 1858958 rows and total weight 316071341 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 509.72/139.433
Info:Filtering - Merging: Total cpu/real time for replay: 69.96/63.6455
Info:Generate Factor Base: Total cpu/real time for makefb: 4.27/2.21986
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24412571
Info:Lattice Sieving: Average J: 1894.23 for 1727050 special-q, max bucket fill -bkmult 1.0,1s:1.153050
Info:Lattice Sieving: Total time: 328590s
Info:Linear Algebra: Total cpu/real time for bwc: 59183.8/15190.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 38766.32, WCT time 9892.31, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (58112 iterations)
Info:Linear Algebra: Lingen CPU time 377.74, WCT time 95.94
Info:Linear Algebra: Mksol: CPU time 19690.46,  WCT time 5069.17, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (29184 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 65.4/29.1159
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 680322/181108
Info:root: Cleaning up computation data in /tmp/cado.g45jl5vh
9480980047411377735523314301862409538482535740103 5569158307394467545343309861058350573960699424832048681240570834052894277673859837
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 JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 13, 2023 14:06:58 UTC 2023 年 1 月 13 日 (金) 23 時 6 分 58 秒 (日本時間)

77×10189+49

c162

name 名前Ignacio Santos
date 日付January 13, 2023 17:04:04 UTC 2023 年 1 月 14 日 (土) 2 時 4 分 4 秒 (日本時間)
composite number 合成数
309005774905393273864398488282788862391099405722086223436927330395564275718220254827679459464640270362724370777464257390868147202851967011233708796004448542452621<162>
prime factors 素因数
275035088436606256042859332088812240624769<42>
1123514009292007238929866784626561027145376633579246972139305119152786251308971800102623730432675853615465567895533271309<121>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:433336695
Step 1 took 6719ms
Step 2 took 3078ms
********** Factor found in step 2: 275035088436606256042859332088812240624769
Found prime factor of 42 digits: 275035088436606256042859332088812240624769
Prime cofactor 1123514009292007238929866784626561027145376633579246972139305119152786251308971800102623730432675853615465567895533271309 has 121 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 JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

77×10191+49

c146

name 名前Eric Jeancolas
date 日付July 7, 2023 09:12:50 UTC 2023 年 7 月 7 日 (金) 18 時 12 分 50 秒 (日本時間)
composite number 合成数
15178859149780983571965704094625746789574052223154364588395534383106189482863070033186641386469161262779296656192144775539994028582585656904384799<146>
prime factors 素因数
1659855514529974862988339133134270003269631335808439824589<58>
9144687002518539291808922807334383503796689811462646132325673764420902567442525956884891<88>
factorization results 素因数分解の結果
15178859149780983571965704094625746789574052223154364588395534383106189482863070033186641386469161262779296656192144775539994028582585656904384799=1659855514529974862988339133134270003269631335808439824589*9144687002518539291808922807334383503796689811462646132325673764420902567442525956884891

cado polynomial
n: 15178859149780983571965704094625746789574052223154364588395534383106189482863070033186641386469161262779296656192144775539994028582585656904384799
skew: 0.35
type: snfs
c0: 2
c5: 385
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 385*x^5+2
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 11300000
tasks.lim1 = 11300000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1659855514529974862988339133134270003269631335808439824589 9144687002518539291808922807334383503796689811462646132325673764420902567442525956884891
Info:Square Root: Total cpu/real time for sqrt: 644.99/210.633
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 27891595
Info:Lattice Sieving: Average J: 1893.73 for 2616349 special-q, max bucket fill -bkmult 1.0,1s:1.155590
Info:Lattice Sieving: Total time: 526977s
Info:Linear Algebra: Total cpu/real time for bwc: 90668.1/23265.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 58012.12, WCT time 14814.46, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (71680 iterations)
Info:Linear Algebra: Lingen CPU time 504.84, WCT time 128.0
Info:Linear Algebra: Mksol: CPU time 31353.37,  WCT time 8039.68, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (35840 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 4.81/2.43596
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 530.89/564.483
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 467.2000000000001s
Info:Generate Free Relations: Total cpu/real time for freerel: 118.51/31.145
Info:Square Root: Total cpu/real time for sqrt: 644.99/210.633
Info:Quadratic Characters: Total cpu/real time for characters: 79.73/34.7329
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 119.68/114.719
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 113.89999999999999s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 419.76/409.013
Info:Filtering - Merging: Merged matrix has 2287239 rows and total weight 391213718 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 628.12/172.126
Info:Filtering - Merging: Total cpu/real time for replay: 87.21/79.6187
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.08392e+06/288270
Info:root: Cleaning up computation data in /tmp/cado.5772ggwt
1659855514529974862988339133134270003269631335808439824589 9144687002518539291808922807334383503796689811462646132325673764420902567442525956884891
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 JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJanuary 9, 2023 04:53:07 UTC 2023 年 1 月 9 日 (月) 13 時 53 分 7 秒 (日本時間)
2350Ignacio SantosJanuary 20, 2023 09:28:41 UTC 2023 年 1 月 20 日 (金) 18 時 28 分 41 秒 (日本時間)

77×10195+49

c149

name 名前Eric Jeancolas
date 日付July 16, 2023 13:43:48 UTC 2023 年 7 月 16 日 (日) 22 時 43 分 48 秒 (日本時間)
composite number 合成数
29748525713428948665021635927781348596914465617854063726445918908252741241649737057833933219225033389476073190444814012367153944892680674361105681641<149>
prime factors 素因数
61789806093679389656206419430221983383256542554389738990932543323217<68>
481447144668608831701835188575567130217014667319511597859319396752274562331400473<81>
factorization results 素因数分解の結果
29748525713428948665021635927781348596914465617854063726445918908252741241649737057833933219225033389476073190444814012367153944892680674361105681641=61789806093679389656206419430221983383256542554389738990932543323217*481447144668608831701835188575567130217014667319511597859319396752274562331400473

cado polynomial
n: 29748525713428948665021635927781348596914465617854063726445918908252741241649737057833933219225033389476073190444814012367153944892680674361105681641
skew: 0.55
type: snfs
c0: 4
c5: 77
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 77*x^5+4
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13400000
tasks.lim1 = 13400000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 61789806093679389656206419430221983383256542554389738990932543323217 481447144668608831701835188575567130217014667319511597859319396752274562331400473
Info:Square Root: Total cpu/real time for sqrt: 642.25/208.52
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 27989879
Info:Lattice Sieving: Average J: 1894.64 for 2668704 special-q, max bucket fill -bkmult 1.0,1s:1.142270
Info:Lattice Sieving: Total time: 604435s
Info:Linear Algebra: Total cpu/real time for bwc: 97916.7/25104.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 62648.35, WCT time 15989.79, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (74752 iterations)
Info:Linear Algebra: Lingen CPU time 515.35, WCT time 130.73
Info:Linear Algebra: Mksol: CPU time 33914.03,  WCT time 8688.93, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (37376 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 5.62/2.66969
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 533.47/569.291
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 468.99999999999983s
Info:Generate Free Relations: Total cpu/real time for freerel: 119.3/31.1619
Info:Square Root: Total cpu/real time for sqrt: 642.25/208.52
Info:Quadratic Characters: Total cpu/real time for characters: 82.21/36.5253
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 121.1/116.529
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 115.79999999999998s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 422.12/421.816
Info:Filtering - Merging: Merged matrix has 2385628 rows and total weight 406351769 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 656.74/179.255
Info:Filtering - Merging: Total cpu/real time for replay: 89.77/78.9648
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.24115e+06/328985
Info:root: Cleaning up computation data in /tmp/cado.dragzb1z
61789806093679389656206419430221983383256542554389738990932543323217 481447144668608831701835188575567130217014667319511597859319396752274562331400473
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 JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 9, 2023 04:53:20 UTC 2023 年 1 月 9 日 (月) 13 時 53 分 20 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovJanuary 24, 2023 05:50:58 UTC 2023 年 1 月 24 日 (火) 14 時 50 分 58 秒 (日本時間)

77×10197+49

c172

name 名前Bob Backstrom
date 日付February 14, 2023 16:37:08 UTC 2023 年 2 月 15 日 (水) 1 時 37 分 8 秒 (日本時間)
composite number 合成数
1280723523767854491992041684312038932000253673025990003615860657046501941107767296144477416536144396128864677960889807041595307743773680826718842623440052235056205509718389<172>
prime factors 素因数
1632729894996753782711140761327566416264646949384834947285721991063<67>
784406243612266831864155311892488720962567031122768068754822471120916653989631608276594232614843909640403<105>
factorization results 素因数分解の結果
Number: n
N=1280723523767854491992041684312038932000253673025990003615860657046501941107767296144477416536144396128864677960889807041595307743773680826718842623440052235056205509718389  ( 172 digits)
SNFS difficulty: 198 digits.
Divisors found:

Wed Feb 15 02:59:25 2023  prp67 factor: 1632729894996753782711140761327566416264646949384834947285721991063
Wed Feb 15 02:59:25 2023  prp105 factor: 784406243612266831864155311892488720962567031122768068754822471120916653989631608276594232614843909640403
Wed Feb 15 02:59:25 2023  elapsed time 02:41:38 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.098).
Factorization parameters were as follows:
#
# N = 77x10^197+4 = 85(196)6
#
n: 1280723523767854491992041684312038932000253673025990003615860657046501941107767296144477416536144396128864677960889807041595307743773680826718842623440052235056205509718389
m: 1000000000000000000000000000000000000000
deg: 5
c5: 1925
c0: 1
skew: 0.22
# Murphy_E = 1.772e-11
type: snfs
lss: 1
rlim: 13700000
alim: 13700000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 13700000/13700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 32450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1726917 hash collisions in 13257081 relations (12243154 unique)
Msieve: matrix is 2231650 x 2231875 (631.8 MB)

Sieving start time: 2023/02/14 12:36:01
Sieving end time  : 2023/02/15 00:17:31

Total sieving time: 11hrs 41min 30secs.

Total relation processing time: 2hrs 27min 44sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 2sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,13700000,13700000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 9, 2023 04:53:27 UTC 2023 年 1 月 9 日 (月) 13 時 53 分 27 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovJanuary 24, 2023 05:51:06 UTC 2023 年 1 月 24 日 (火) 14 時 51 分 6 秒 (日本時間)

77×10201+49

c148

name 名前Bob Backstrom
date 日付September 24, 2023 18:38:34 UTC 2023 年 9 月 25 日 (月) 3 時 38 分 34 秒 (日本時間)
composite number 合成数
2317126621922122452709606528799812425953485667192393236029257811196523627964038247073487069821250677949965299238475333334033088196110720762240262299<148>
prime factors 素因数
3261574954976902531639083093880276490772070261711902103<55>
710431817115339490681126102906697601449974626562503163149395871645375764918996437524051154333<93>
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 2317126621922122452709606528799812425953485667192393236029257811196523627964038247073487069821250677949965299238475333334033088196110720762240262299 (148 digits)
Using B1=67810000, B2=388138525330, polynomial Dickson(30), sigma=1:2786304444
Step 1 took 133294ms
Step 2 took 52834ms
********** Factor found in step 2: 3261574954976902531639083093880276490772070261711902103
Found prime factor of 55 digits: 3261574954976902531639083093880276490772070261711902103
Prime cofactor 710431817115339490681126102906697601449974626562503163149395871645375764918996437524051154333 has 93 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJanuary 22, 2023 23:20:46 UTC 2023 年 1 月 23 日 (月) 8 時 20 分 46 秒 (日本時間)
2350abcApril 18, 2023 04:35:48 UTC 2023 年 4 月 18 日 (火) 13 時 35 分 48 秒 (日本時間)

77×10203+49

c188

name 名前Bob Backstrom
date 日付August 22, 2023 16:09:25 UTC 2023 年 8 月 23 日 (水) 1 時 9 分 25 秒 (日本時間)
composite number 合成数
15918423983201117354247254630431224531849526712348694733125672083197879878499584294715275627044364143537941583345150028365412780758254186569650443903383361221468409359962405156957672066591<188>
prime factors 素因数
4092632157498127953699559394244960124433567063<46>
3889532059224259452237168357444479532714966995399768377812754811140228599977858082730864691483216922891444095785401727359791339905209464488057<142>
factorization results 素因数分解の結果
Number: n
N=15918423983201117354247254630431224531849526712348694733125672083197879878499584294715275627044364143537941583345150028365412780758254186569650443903383361221468409359962405156957672066591  ( 188 digits)
SNFS difficulty: 204 digits.
Divisors found:

Tue Aug 22 17:43:26 2023  prp46 factor: 4092632157498127953699559394244960124433567063
Tue Aug 22 17:43:26 2023  prp142 factor: 3889532059224259452237168357444479532714966995399768377812754811140228599977858082730864691483216922891444095785401727359791339905209464488057
Tue Aug 22 17:43:26 2023  elapsed time 02:50:45 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.088).
Factorization parameters were as follows:
#
# N = 77x10^203+4 = 85(202)6
#
n: 15918423983201117354247254630431224531849526712348694733125672083197879878499584294715275627044364143537941583345150028365412780758254186569650443903383361221468409359962405156957672066591
m: 10000000000000000000000000000000000000000
deg: 5
c5: 19250
c0: 1
skew: 0.14
# Murphy_E = 9.473e-12
type: snfs
lss: 1
rlim: 17800000
alim: 17800000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17800000/17800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 34500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3057202 hash collisions in 17409919 relations (15070156 unique)
Msieve: matrix is 2315127 x 2315353 (653.5 MB)

Sieving start time: 2023/08/22 00:41:52
Sieving end time  : 2023/08/22 14:52:19

Total sieving time: 14hrs 10min 27secs.

Total relation processing time: 2hrs 39min 26sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 37sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,17800000,17800000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 23, 2023 15:00:25 UTC 2023 年 1 月 24 日 (火) 0 時 0 分 25 秒 (日本時間)

77×10204+49

c182

name 名前Bob Backstrom
date 日付December 7, 2023 03:52:00 UTC 2023 年 12 月 7 日 (木) 12 時 52 分 0 秒 (日本時間)
composite number 合成数
10357842461593135320478807295815297247056640690806070124369420371522938439580285575514650801649949436865629553205609973905957630876623634508970611877874086928742400391563588143828131<182>
prime factors 素因数
418142713926294920830606247766894033462652550357<48>
24771070059632532543266130716598115797203090972650980875930513888942504336692719528400874732176289263858538978892127154589507076210583<134>
factorization results 素因数分解の結果
Number: n
N=10357842461593135320478807295815297247056640690806070124369420371522938439580285575514650801649949436865629553205609973905957630876623634508970611877874086928742400391563588143828131  ( 182 digits)
SNFS difficulty: 205 digits.
Divisors found:

Wed Dec  6 17:23:05 2023  prp48 factor: 418142713926294920830606247766894033462652550357
Wed Dec  6 17:23:05 2023  prp134 factor: 24771070059632532543266130716598115797203090972650980875930513888942504336692719528400874732176289263858538978892127154589507076210583
Wed Dec  6 17:23:05 2023  elapsed time 02:49:33 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.098).
Factorization parameters were as follows:
#
# N = 77x10^204+4 = 85(203)6
#
n: 10357842461593135320478807295815297247056640690806070124369420371522938439580285575514650801649949436865629553205609973905957630876623634508970611877874086928742400391563588143828131
m: 10000000000000000000000000000000000
deg: 6
c6: 77
c0: 4
skew: 0.61
# Murphy_E = 8.402e-12
type: snfs
lss: 1
rlim: 18900000
alim: 18900000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18900000/18900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 49450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3702044 hash collisions in 20580808 relations (17544378 unique)
Msieve: matrix is 2270224 x 2270449 (641.7 MB)

Sieving start time: 2023/12/05 15:49:56
Sieving end time  : 2023/12/06 14:33:07

Total sieving time: 22hrs 43min 11secs.

Total relation processing time: 2hrs 34min 12sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 38sec.

Prototype def-par.txt line would be:
snfs,205,6,0,0,0,0,0,0,0,0,18900000,18900000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e620801000Dmitry DomanovJanuary 23, 2023 15:00:38 UTC 2023 年 1 月 24 日 (火) 0 時 0 分 38 秒 (日本時間)
1080ebinaAugust 27, 2023 20:00:57 UTC 2023 年 8 月 28 日 (月) 5 時 0 分 57 秒 (日本時間)
4511e64480Ignacio SantosDecember 3, 2023 08:01:55 UTC 2023 年 12 月 3 日 (日) 17 時 1 分 55 秒 (日本時間)

77×10205+49

c187

name 名前Ignacio Santos
date 日付April 27, 2024 14:40:58 UTC 2024 年 4 月 27 日 (土) 23 時 40 分 58 秒 (日本時間)
composite number 合成数
7395813226344430549026453043365331614629918207229201824710622254414985827749173713779410846975426465749572256728920048083302338328265137948490907694138493096308577525519607976576919298791<187>
prime factors 素因数
1096972585027431134159956459372689959160689<43>
6742021931349806012625400074704016996929239792815957577434207683161346458191241645157213296138174080345261609199317327869257811835754908747151319<145>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2940683709
Step 1 took 27329ms
Step 2 took 11625ms
********** Factor found in step 2: 1096972585027431134159956459372689959160689
Found prime factor of 43 digits: 1096972585027431134159956459372689959160689
Prime cofactor 6742021931349806012625400074704016996929239792815957577434207683161346458191241645157213296138174080345261609199317327869257811835754908747151319 has 145 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e620781000Dmitry DomanovJanuary 23, 2023 15:00:46 UTC 2023 年 1 月 24 日 (火) 0 時 0 分 46 秒 (日本時間)
1078ebinaAugust 27, 2023 22:37:32 UTC 2023 年 8 月 28 日 (月) 7 時 37 分 32 秒 (日本時間)

77×10206+49

c205

name 名前ebina
date 日付August 27, 2023 22:32:22 UTC 2023 年 8 月 28 日 (月) 7 時 32 分 22 秒 (日本時間)
composite number 合成数
4035639412997903563941299790356394129979035639412997903563941299790356394129979035639412997903563941299790356394129979035639412997903563941299790356394129979035639412997903563941299790356394129979035639413<205>
prime factors 素因数
1170733774262932883145096235791485975369<40>
composite cofactor 合成数の残り
3447102579353405537145638875158329962531915569836946816837726424129461456593800267267970722075331658588949114386650619132962300786081696079661791677465062341989744077<166>
factorization results 素因数分解の結果
Z:\ALL\ECM>ecm-svn3038-skylake\ecm -primetest -one -sigma 1:518965592 3e6      
GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 4035639412997903563941299790356394129979035639412997903563941299790356394129979035639412997903563941299790356394129979035639412997903563941299790356394129979035639412997903563941299790356394129979035639413 (205 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:518965592
Step 1 took 6359ms
Step 2 took 3110ms
********** Factor found in step 2: 1170733774262932883145096235791485975369
Found prime factor of 40 digits: 1170733774262932883145096235791485975369
Composite cofactor 3447102579353405537145638875158329962531915569836946816837726424129461456593800267267970722075331658588949114386650619132962300786081696079661791677465062341989744077 has 166 digits

c166

name 名前Bob Backstrom
date 日付June 20, 2024 05:25:25 UTC 2024 年 6 月 20 日 (木) 14 時 25 分 25 秒 (日本時間)
composite number 合成数
3447102579353405537145638875158329962531915569836946816837726424129461456593800267267970722075331658588949114386650619132962300786081696079661791677465062341989744077<166>
prime factors 素因数
892090829657114147350691343515526752455114789<45>
3864071308387219855650483988366374763277835598747196916799615658202395749875081566555275871264026316055994791710473888393<121>
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 3447102579353405537145638875158329962531915569836946816837726424129461456593800267267970722075331658588949114386650619132962300786081696079661791677465062341989744077 (166 digits)
Using B1=73320000, B2=582192983200, polynomial Dickson(30), sigma=1:1183527231
Step 1 took 167650ms
Step 2 took 73714ms
********** Factor found in step 2: 892090829657114147350691343515526752455114789
Found prime factor of 45 digits: 892090829657114147350691343515526752455114789
Prime cofactor 3864071308387219855650483988366374763277835598747196916799615658202395749875081566555275871264026316055994791710473888393 has 121 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e642121000Dmitry DomanovJanuary 25, 2023 09:33:01 UTC 2023 年 1 月 25 日 (水) 18 時 33 分 1 秒 (日本時間)
862ebinaAugust 27, 2023 22:29:45 UTC 2023 年 8 月 28 日 (月) 7 時 29 分 45 秒 (日本時間)
2350Ignacio SantosJune 12, 2024 07:36:53 UTC 2024 年 6 月 12 日 (水) 16 時 36 分 53 秒 (日本時間)

77×10207+49

c175

composite cofactor 合成数の残り
2506173408001464979165738520027357012792540601460296407503033204306558020350479735719346033299386357689128332480848913447311875843109179019234663096764187396595046741011750671<175>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e620781000Dmitry DomanovJanuary 22, 2023 23:21:01 UTC 2023 年 1 月 23 日 (月) 8 時 21 分 1 秒 (日本時間)
1078ebinaAugust 28, 2023 01:27:31 UTC 2023 年 8 月 28 日 (月) 10 時 27 分 31 秒 (日本時間)

77×10208+49

c172

composite cofactor 合成数の残り
1987324548188129417547063371503174624596996525575127853214166340278505796202187206282854383150196064736485747406844632826995811794835039894917586385436892215615189389303811<172>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 22, 2023 23:21:09 UTC 2023 年 1 月 23 日 (月) 8 時 21 分 9 秒 (日本時間)

77×10209+49

c209

composite cofactor 合成数の残り
16452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991453<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 25, 2023 09:33:09 UTC 2023 年 1 月 25 日 (水) 18 時 33 分 9 秒 (日本時間)

77×10210+49

c210

composite cofactor 合成数の残り
712962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 25, 2023 09:33:17 UTC 2023 年 1 月 25 日 (水) 18 時 33 分 17 秒 (日本時間)

77×10211+49

c195

composite cofactor 合成数の残り
139593799637542414270530849042781640843814833592525576057838139613075706606538264436768366273422086013431435644227477306622029410088138581452173519362514445290782400649110249287065273167777703689<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 23, 2023 15:03:57 UTC 2023 年 1 月 24 日 (火) 0 時 3 分 57 秒 (日本時間)

77×10213+49

c212

composite cofactor 合成数の残り
22998805256869772998805256869772998805256869772998805256869772998805256869772998805256869772998805256869772998805256869772998805256869772998805256869772998805256869772998805256869772998805256869772998805256869773<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)

77×10214+49

c207

composite cofactor 合成数の残り
107745572100142822884722710722455313395731094574455037323029793867725747093985919057497393552052602039810177645956975330321379468093223414558231207224549607738587668343074145941583385594273610649491299319207<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 25, 2023 09:33:25 UTC 2023 年 1 月 25 日 (水) 18 時 33 分 25 秒 (日本時間)

77×10216+49

c196

name 名前Dmitry Domanov
date 日付January 24, 2023 15:38:08 UTC 2023 年 1 月 25 日 (水) 0 時 38 分 8 秒 (日本時間)
composite number 合成数
2388817038121320959309704484370215805569819792224250646956311404337773270364744733819277477999119692542554602250050337342342382065097066848873583517751808799387943667731261670851366627341406620189<196>
prime factors 素因数
366415169950291439419988711490230935878419<42>
composite cofactor 合成数の残り
6519427234536693180428766527817223798467831545672450429597302290401793011683550224915744669543513476847353591532740325384241480891309142886094295164066831<154>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3223381509
Step 1 took 11247ms
Step 2 took 5047ms
********** Factor found in step 2: 366415169950291439419988711490230935878419
Found prime factor of 42 digits: 366415169950291439419988711490230935878419
Composite cofactor 6519427234536693180428766527817223798467831545672450429597302290401793011683550224915744669543513476847353591532740325384241480891309142886094295164066831 has 154 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 23, 2023 15:04:04 UTC 2023 年 1 月 24 日 (火) 0 時 4 分 4 秒 (日本時間)

77×10217+49

c199

composite cofactor 合成数の残り
2584991207801393368157921112064745649741578319994228880087368631668390839430147732460267479083682743288950542928338658958619032160838258227196409967602999542782203177990062128874560433865837609424927<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 23, 2023 15:04:12 UTC 2023 年 1 月 24 日 (火) 0 時 4 分 12 秒 (日本時間)

77×10218+49

c194

composite cofactor 合成数の残り
65741621186591941736472023827426292351641897934420782060551417348844593057562873741916662469656541017605742344775032232268625218757684626563143352158476621114317632170584342478445096914446118063<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 23, 2023 15:04:19 UTC 2023 年 1 月 24 日 (火) 0 時 4 分 19 秒 (日本時間)

77×10220+49

c168

composite cofactor 合成数の残り
172836554174189646202047341610279670145309503135623118466704135141542613650162969637205029835312349207487710310007793732393367072080518741006121257565127982270080283797<168>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 22, 2023 23:21:16 UTC 2023 年 1 月 23 日 (月) 8 時 21 分 16 秒 (日本時間)

77×10221+49

c209

composite cofactor 合成数の残り
58212106445230829514727946458332491649078950138883370652110976391295928479600478103011054677759122515076469718768141954620918486484610820308183347126168123684912314753196922419047285857932601126250191042482353<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 25, 2023 09:33:33 UTC 2023 年 1 月 25 日 (水) 18 時 33 分 33 秒 (日本時間)

77×10223+49

c197

composite cofactor 合成数の残り
93574813021232421568878399247217749853643866812905129024817575430506700016715918765420053334413809330535522412042665789106683448038197346288150328382568415498804191622900231745990610363260004587559<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 23, 2023 15:04:28 UTC 2023 年 1 月 24 日 (火) 0 時 4 分 28 秒 (日本時間)

77×10225+49

c220

name 名前Dmitry Domanov
date 日付February 1, 2023 11:06:30 UTC 2023 年 2 月 1 日 (水) 20 時 6 分 30 秒 (日本時間)
composite number 合成数
7465658938449229447040942449271332296285437156022188326191509470915537994774426569523900386003654100702237331940260766740625168462109163058911223813474098817400841505805955695483334516203970334380076890469669451648320537<220>
prime factors 素因数
18537578752610165442633067362224149423873<41>
402731070658191255086876733803742911084543122430838125328109073048436859919365403706755374605158461546508316983976785387053218638973841926988886818855891552608170922187277599782169<180>
factorization results 素因数分解の結果
Resuming ECM residue saved by @09958d86fa6a with GMP-ECM 7.0.5-dev on Tue Jan 31 21:41:03 2023 
Input number is 7465658938449229447040942449271332296285437156022188326191509470915537994774426569523900386003654100702237331940260766740625168462109163058911223813474098817400841505805955695483334516203970334380076890469669451648320537 (220 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1521302934
Step 1 took 0ms
Step 2 took 5545ms
********** Factor found in step 2: 18537578752610165442633067362224149423873
Found prime factor of 41 digits: 18537578752610165442633067362224149423873
Prime cofactor 402731070658191255086876733803742911084543122430838125328109073048436859919365403706755374605158461546508316983976785387053218638973841926988886818855891552608170922187277599782169 has 180 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 31, 2023 21:36:08 UTC 2023 年 2 月 1 日 (水) 6 時 36 分 8 秒 (日本時間)

77×10227+49

c207

composite cofactor 合成数の残り
120351881433271531601778995165363041027382844352106814277970642141816574636040915255490053500897121405094516269167417002191940611427766546223279803049837649506199339438861666537602323045054587573168966771969<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 25, 2023 09:33:41 UTC 2023 年 1 月 25 日 (水) 18 時 33 分 41 秒 (日本時間)

77×10228+49

c192

composite cofactor 合成数の残り
118287454509628937007843190221592420160202706156281634226597606197072154316774889789590635348547600009969705309413843917208579484723322331186504194633212179272809762138853143504007892104714483<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 23, 2023 15:01:48 UTC 2023 年 1 月 24 日 (火) 0 時 1 分 48 秒 (日本時間)

77×10229+49

c201

composite cofactor 合成数の残り
888242394979994698626359111901291716403523213817333340091368268288134551270459575577272821770651141233157512873101843623124658251100216057252810231783781708481603325105174976619533172768709979992454027<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 25, 2023 09:33:49 UTC 2023 年 1 月 25 日 (水) 18 時 33 分 49 秒 (日本時間)

77×10231+49

c218

composite cofactor 合成数の残り
73795330945986202067801035465924430624586265326637225813161128798147327863854249312391964551935092100110627548485803537536764285295115268248439611583904382145044197763719078451022885193627857536045849232483601452510061<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 31, 2023 21:36:17 UTC 2023 年 2 月 1 日 (水) 6 時 36 分 17 秒 (日本時間)

77×10233+49

c135

name 名前Ignacio Santos
date 日付December 28, 2022 17:50:21 UTC 2022 年 12 月 29 日 (木) 2 時 50 分 21 秒 (日本時間)
composite number 合成数
250894775215127648493282575026941442430754834978882026988614038426197984634031841970886724041727422313197863757330829983554524989887369<135>
prime factors 素因数
1460888247262647591053552097738217109227<40>
171741251040415976885461226384048889678331697327711788325398368671101269397428661761084985453147<96>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3265262468
Step 1 took 16609ms
Step 2 took 8188ms
********** Factor found in step 2: 1460888247262647591053552097738217109227
Found prime factor of 40 digits: 1460888247262647591053552097738217109227
Prime cofactor 171741251040415976885461226384048889678331697327711788325398368671101269397428661761084985453147 has 96 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 JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 23, 2022 16:21:54 UTC 2022 年 12 月 24 日 (土) 1 時 21 分 54 秒 (日本時間)

77×10234+49

c204

composite cofactor 合成数の残り
209871525129001421349544263527855721683210581591237106993268856368811881249951509359433233887230721212366430396688283237151403685785944936928492115765455646020594382545656571785432882396443471857988799319<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 25, 2023 09:33:57 UTC 2023 年 1 月 25 日 (水) 18 時 33 分 57 秒 (日本時間)

77×10236+49

c212

composite cofactor 合成数の残り
28279706943646934639405291877583829352222564530961065891957105308099543458575352164911944010527849268059827970417483962972724957872807139706704868191009965507282003662277903736064426647147968102386042433710761989<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 31, 2023 21:36:25 UTC 2023 年 2 月 1 日 (水) 6 時 36 分 25 秒 (日本時間)

77×10239+49

c227

composite cofactor 合成数の残り
11602294158558856102653081813511404739406620233703456524696948795097821698859599176917109353919172386577554580562537422431311266407236439086641980261809417631118600565388886696245290282255906318808106355777926526649448923058801<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 31, 2023 21:36:33 UTC 2023 年 2 月 1 日 (水) 6 時 36 分 33 秒 (日本時間)

77×10241+49

c154

composite cofactor 合成数の残り
9884826473556748618414519932422296325471460181971262077799377782912233662219174444313436596821926875593062492077011315272018420825694418825290803442630469<154>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 25, 2022 12:44:27 UTC 2022 年 12 月 25 日 (日) 21 時 44 分 27 秒 (日本時間)
4511e64480Ignacio SantosDecember 29, 2022 15:57:25 UTC 2022 年 12 月 30 日 (金) 0 時 57 分 25 秒 (日本時間)
5043e66454Ignacio SantosMarch 22, 2024 09:48:20 UTC 2024 年 3 月 22 日 (金) 18 時 48 分 20 秒 (日本時間)

77×10242+49

c239

name 名前Dmitry Domanov
date 日付February 2, 2023 10:06:43 UTC 2023 年 2 月 2 日 (木) 19 時 6 分 43 秒 (日本時間)
composite number 合成数
10660862726854851661710057762492592777196276174494785868957229172550909080839799077350789457652838004729546373368334191740461989178532068428893430139505003682843487458948755863474499770168413940531769370926027457951895972132227926476044903<239>
prime factors 素因数
21927870397624660476983829893443229467<38>
composite cofactor 合成数の残り
486178663661277889381901699794088398610962893887347645461329033354564287074276123082734728600068313764687048429602740345574054880933200585341395506947794293689544351796931013771471842182011076980499109<201>
factorization results 素因数分解の結果
Resuming ECM residue saved by @67f5386606e7 with GMP-ECM 7.0.5-dev on Wed Feb  1 20:42:42 2023 
Input number is 10660862726854851661710057762492592777196276174494785868957229172550909080839799077350789457652838004729546373368334191740461989178532068428893430139505003682843487458948755863474499770168413940531769370926027457951895972132227926476044903 (239 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:18894538
Step 1 took 1ms
Step 2 took 6274ms
********** Factor found in step 2: 21927870397624660476983829893443229467
Found prime factor of 38 digits: 21927870397624660476983829893443229467
Composite cofactor 486178663661277889381901699794088398610962893887347645461329033354564287074276123082734728600068313764687048429602740345574054880933200585341395506947794293689544351796931013771471842182011076980499109 has 201 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovFebruary 1, 2023 20:34:22 UTC 2023 年 2 月 2 日 (木) 5 時 34 分 22 秒 (日本時間)

77×10244+49

c204

composite cofactor 合成数の残り
202125673640197327045371006813183797809723787115902510618326531314895344702800647273371793105895592868360599607686157999738500406787934476525739966493762286945205448834884543776461422583014157765859392949<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 25, 2023 09:34:05 UTC 2023 年 1 月 25 日 (水) 18 時 34 分 5 秒 (日本時間)

77×10247+49

c243

composite cofactor 合成数の残り
782415367044258290554519109225185239378457361410867647835859417232647652957123637885974645677612352814459848882060536594684452898594903935650908617949624643848589416866843065767600281263082594611291981156999264326330207736360569517097299955697<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovFebruary 1, 2023 20:34:38 UTC 2023 年 2 月 2 日 (木) 5 時 34 分 38 秒 (日本時間)

77×10248+49

c205

composite cofactor 合成数の残り
2421719350521789160649660949492048027534005717316836038127591340278808474830184692677361484794893562638905604683125543151967297679752639478271473071474718843110608986394395588698231924487305211103119790911<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 25, 2023 09:34:16 UTC 2023 年 1 月 25 日 (水) 18 時 34 分 16 秒 (日本時間)

77×10251+49

c223

composite cofactor 合成数の残り
3006114385875023716813523444168879528340502278721377781777300668062542691194332047104365670371461601249374982199432152616599796380469146463682330671971817479064260841296588571170678105966977716879574559168816528699018989647<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 31, 2023 21:36:44 UTC 2023 年 2 月 1 日 (水) 6 時 36 分 44 秒 (日本時間)

77×10252+49

c244

composite cofactor 合成数の残り
4661884756177940758431297749737555686101406223438344002071128396440144792735162327988443227890622912160532755714526649139050400612794168115754210045864559451746446564861919164374773325086684423177841611403710009211610619518027506293645529249867<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovFebruary 1, 2023 20:34:47 UTC 2023 年 2 月 2 日 (木) 5 時 34 分 47 秒 (日本時間)

77×10253+49

c247

name 名前Dmitry Domanov
date 日付February 3, 2023 04:52:11 UTC 2023 年 2 月 3 日 (金) 13 時 52 分 11 秒 (日本時間)
composite number 合成数
1287645116015921929186970238133341879283464356407913745142041069216891632315472277492298494225125704765797989163887744557002019154634158182740895842333052947773187674115121747715297825325260995798644759201098949252822349195402072806291023328229777<247>
prime factors 素因数
798590955140973899571547445215301613251<39>
composite cofactor 合成数の残り
1612396318448931258582083201460757649635396689964883575289020318394680665597399744370298883298591493580406860275922890335905421725655809733006564269343252204168214118709541427862262114085361064558966080672027<208>
factorization results 素因数分解の結果
Resuming ECM residue saved by @67f5386606e7 with GMP-ECM 7.0.5-dev on Wed Feb  1 20:56:05 2023 
Input number is 1287645116015921929186970238133341879283464356407913745142041069216891632315472277492298494225125704765797989163887744557002019154634158182740895842333052947773187674115121747715297825325260995798644759201098949252822349195402072806291023328229777 (247 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1817091904
Step 1 took 0ms
Step 2 took 6419ms
********** Factor found in step 2: 798590955140973899571547445215301613251
Found prime factor of 39 digits: 798590955140973899571547445215301613251
Composite cofactor 1612396318448931258582083201460757649635396689964883575289020318394680665597399744370298883298591493580406860275922890335905421725655809733006564269343252204168214118709541427862262114085361064558966080672027 has 208 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovFebruary 1, 2023 20:34:56 UTC 2023 年 2 月 2 日 (木) 5 時 34 分 56 秒 (日本時間)

77×10254+49

c231

name 名前Dmitry Domanov
date 日付February 3, 2023 04:52:29 UTC 2023 年 2 月 3 日 (金) 13 時 52 分 29 秒 (日本時間)
composite number 合成数
782723594678405476325778222474491470867415711508635708573404558070986215239401049714725434623397169829645516707288613383813916291235044748144279267151771963261801357307216589522384845890449373678911532128694375073473073723949516413<231>
prime factors 素因数
15097180966901109087662971324642939783<38>
composite cofactor 合成数の残り
51845678765753682231770794333299396841200835590102157552992335048723972399905615847963098917726230168495799764648911435725150868241634265346961235996606601051067212318598748845871211107440123611<194>
factorization results 素因数分解の結果
Resuming ECM residue saved by @67f5386606e7 with GMP-ECM 7.0.5-dev on Wed Feb  1 21:00:34 2023 
Input number is 782723594678405476325778222474491470867415711508635708573404558070986215239401049714725434623397169829645516707288613383813916291235044748144279267151771963261801357307216589522384845890449373678911532128694375073473073723949516413 (231 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2970960453
Step 1 took 0ms
Step 2 took 5746ms
********** Factor found in step 2: 15097180966901109087662971324642939783
Found prime factor of 38 digits: 15097180966901109087662971324642939783
Composite cofactor 51845678765753682231770794333299396841200835590102157552992335048723972399905615847963098917726230168495799764648911435725150868241634265346961235996606601051067212318598748845871211107440123611 has 194 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovFebruary 1, 2023 20:35:05 UTC 2023 年 2 月 2 日 (木) 5 時 35 分 5 秒 (日本時間)

77×10255+49

c245

composite cofactor 合成数の残り
47280397674589365642687495002078042826474999608605929497882700562667171324830124055375808207550021499600692086184556564796874882562361649683450399773711328478865620388324206743926696561418071328835247033615184275966657307070827011709205225537983<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovFebruary 1, 2023 20:35:17 UTC 2023 年 2 月 2 日 (木) 5 時 35 分 17 秒 (日本時間)

77×10256+49

c201

composite cofactor 合成数の残り
215508864337055878714919388098569549714156076473608437981077725348783777918439882152270415123109843399616523932511427336934467526978994254263328873744703308376419951062401582912344793962682256524487317<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 25, 2023 09:34:26 UTC 2023 年 1 月 25 日 (水) 18 時 34 分 26 秒 (日本時間)

77×10258+49

c244

composite cofactor 合成数の残り
2206001407608590338488456807458117848687494538657148406719143792536308910702132954071370367282532411020462815636504839860482411675239228058599294136054392174698599443771876166683716102599255884005250000677732938926716625166199642995091076713363<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovFebruary 1, 2023 20:35:26 UTC 2023 年 2 月 2 日 (木) 5 時 35 分 26 秒 (日本時間)

77×10259+49

c225

composite cofactor 合成数の残り
165901981307936353419354595076847299224035104022825753250115737923361766639102554591724964732440717002252749494116503503602571874391006022160077460315860063487615422979346674938525751850762783477932193773166386362799410393083<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 31, 2023 21:36:53 UTC 2023 年 2 月 1 日 (水) 6 時 36 分 53 秒 (日本時間)

77×10263+49

c263

name 名前Dmitry Domanov
date 日付January 21, 2023 07:42:50 UTC 2023 年 1 月 21 日 (土) 16 時 42 分 50 秒 (日本時間)
composite number 合成数
16452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991453<263>
prime factors 素因数
125560942573145189701754075419551226694579<42>
composite cofactor 合成数の残り
131035902692485818440479838247560154194963862822267759989045222046819893602621530791125760743187565663774837175107575870048580557433341684355238385445271228439182365648993052911632531409089447794514558478977620819312258607<222>
factorization results 素因数分解の結果
Resuming ECM residue saved by @f33d175c872d with GMP-ECM 7.0.5-dev on Thu Jan 19 13:34:49 2023 
Input number is 16452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991453 (263 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:998887192
Step 1 took 0ms
Step 2 took 4898ms
********** Factor found in step 2: 125560942573145189701754075419551226694579
Found prime factor of 42 digits: 125560942573145189701754075419551226694579
Composite cofactor 131035902692485818440479838247560154194963862822267759989045222046819893602621530791125760743187565663774837175107575870048580557433341684355238385445271228439182365648993052911632531409089447794514558478977620819312258607 has 222 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 19, 2023 11:10:21 UTC 2023 年 1 月 19 日 (木) 20 時 10 分 21 秒 (日本時間)

77×10265+49

c199

composite cofactor 合成数の残り
2062233724706183816852072708787949497081243623060975201144111084210102781952116918403463641371083030271863608887454158897505614328881633916706482197834564447735700149210877618020050103601384162372639<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 23, 2023 15:04:35 UTC 2023 年 1 月 24 日 (火) 0 時 4 分 35 秒 (日本時間)

77×10266+49

c244

composite cofactor 合成数の残り
2761659568742806782249091606989869546185682834042556929062426882068010419689586309566346571196804748093835139645855405516786734165583607082499907177247521570980309449496439667896395878708724679973653481394138570364655815594715330728706532987581<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovFebruary 1, 2023 20:35:34 UTC 2023 年 2 月 2 日 (木) 5 時 35 分 34 秒 (日本時間)

77×10267+49

c213

name 名前Dmitry Domanov
date 日付February 1, 2023 13:59:26 UTC 2023 年 2 月 1 日 (水) 22 時 59 分 26 秒 (日本時間)
composite number 合成数
888471428639415060496014371356500231767539319571226649212575008097025606370710813226842959351401449350058323600548924360423633354558513955958491734419509156076861193105403437876830307738100857988311242701817458977<213>
prime factors 素因数
187339670024852845330953305186933825447<39>
4742569625117566990118485207442462644786298777302378136619019291185168239848173749093055447117010218747366094988255747001944327417772117570920313573402779974019420656938303991<175>
factorization results 素因数分解の結果
Resuming ECM residue saved by @09958d86fa6a with GMP-ECM 7.0.5-dev on Tue Jan 31 21:58:37 2023 
Input number is 888471428639415060496014371356500231767539319571226649212575008097025606370710813226842959351401449350058323600548924360423633354558513955958491734419509156076861193105403437876830307738100857988311242701817458977 (213 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2990596529
Step 1 took 0ms
Step 2 took 5783ms
********** Factor found in step 2: 187339670024852845330953305186933825447
Found prime factor of 39 digits: 187339670024852845330953305186933825447
Prime cofactor 4742569625117566990118485207442462644786298777302378136619019291185168239848173749093055447117010218747366094988255747001944327417772117570920313573402779974019420656938303991 has 175 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 31, 2023 21:37:02 UTC 2023 年 2 月 1 日 (水) 6 時 37 分 2 秒 (日本時間)

77×10268+49

c244

composite cofactor 合成数の残り
1007854216523431618058040701376468847232211577323491226776481476223593471274824890023241194678239996364169238352852064865190068514179115753296752518730220006771126627371653630562658449712792166906108476225095249144563422462817844920069275869049<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovFebruary 1, 2023 20:36:20 UTC 2023 年 2 月 2 日 (木) 5 時 36 分 20 秒 (日本時間)

77×10271+49

c239

composite cofactor 合成数の残り
23497120021519466163608476356994477042640384994220271626135484387343721654223337545082706558372682550580653636771047323929787571463106630210086028628319174781460867537937800290520162648303401673555308253088424291134879771948016432641048389<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovFebruary 1, 2023 20:36:57 UTC 2023 年 2 月 2 日 (木) 5 時 36 分 57 秒 (日本時間)

77×10272+49

c273

composite cofactor 合成数の残り
213888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<273>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 13, 2023 12:36:42 UTC 2023 年 1 月 13 日 (金) 21 時 36 分 42 秒 (日本時間)

77×10273+49

c242

composite cofactor 合成数の残り
32363754107174245746820574115206292117023858686945821689742872515072661315596453168537810398437977447978313490709977448394379967549096305715504147241196891428117391395875687412279100228146363895739294765443746612244688488116687861728026649651<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovFebruary 1, 2023 20:37:05 UTC 2023 年 2 月 2 日 (木) 5 時 37 分 5 秒 (日本時間)

77×10274+49

c233

composite cofactor 合成数の残り
13710576530054835716362581380427373656083134953062538706204372746563408568741618172364143064150228090232811610977728874776578444498657899695356658414407063348829360298507044641308576673413367841619558296595758048026888824364858887709<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovFebruary 1, 2023 20:37:15 UTC 2023 年 2 月 2 日 (木) 5 時 37 分 15 秒 (日本時間)

77×10276+49

c271

composite cofactor 合成数の残り
3607911315478201936951702906027311045250330006745388480210934426539833121450541533431655945078780852093066494086680209922337131854820647448588200874257824528811467797657837685973771515568277894261771677502583170789900172373820095859860852700320138873660691778104270323833<271>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 13, 2023 12:37:03 UTC 2023 年 1 月 13 日 (金) 21 時 37 分 3 秒 (日本時間)

77×10277+49

c229

name 名前Dmitry Domanov
date 日付January 31, 2023 22:02:40 UTC 2023 年 2 月 1 日 (水) 7 時 2 分 40 秒 (日本時間)
composite number 合成数
8349457381742915324147625912989925860036384210937566891512526231061208997368327073561228504229852747948836775261538121301585161784856568018252575093155941832250163696274767871491010592666064002500920528180745416441414229568117039<229>
prime factors 素因数
364700140389295007903880059644753<33>
composite cofactor 合成数の残り
22894033911888221955350503638078323604696675993200485525633671851673310687659896861869852864053383996251237155006740139848426336688338331683275399322427958918362451277269972814533647134240267099263<197>
factorization results 素因数分解の結果
GPU: factor 364700140389295007903880059644753 found in Step 1 with curve 1197 (-sigma 3:597078235)
GPU: factor 364700140389295007903880059644753 found in Step 1 with curve 1398 (-sigma 3:597078436)
Computing 1792 Step 1 took 272ms of CPU time / 175301ms of GPU time
Throughput: 10.222 curves per second (on average 97.82ms per Step 1)
********** Factor found in step 1: 364700140389295007903880059644753
Found prime factor of 33 digits: 364700140389295007903880059644753
Composite cofactor 22894033911888221955350503638078323604696675993200485525633671851673310687659896861869852864053383996251237155006740139848426336688338331683275399322427958918362451277269972814533647134240267099263 has 197 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 JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 31, 2023 21:37:10 UTC 2023 年 2 月 1 日 (水) 6 時 37 分 10 秒 (日本時間)

77×10278+49

c243

composite cofactor 合成数の残り
491482710250999060800300977764566758175786746200440270655316350536726092441957966479121246109313143481749111361952185128798889444930664675839289709763870921257378981146419021193651826760199474810961957520197850801439889165019106090948126227033<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovFebruary 1, 2023 20:37:25 UTC 2023 年 2 月 2 日 (木) 5 時 37 分 25 秒 (日本時間)

77×10279+49

c254

composite cofactor 合成数の残り
67789596368772919081559825877709898263508105788345124426606826899512296237774764427330863386879609437140714720224639459885794988082182361801583801989663667575687899525941042303111630943049240373919916106942406303928452473587712365536664251118966560635053<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 19, 2023 11:10:12 UTC 2023 年 1 月 19 日 (木) 20 時 10 分 12 秒 (日本時間)

77×10280+49

c237

composite cofactor 合成数の残り
748520562038312430590404313344149560857822541997124156811074839051066986246571967246485951801154593120945619045473072766959961234571262419658853896235007300094739463101592591847645836454102767785389658684456259757577244858985116277166421<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovFebruary 1, 2023 20:37:35 UTC 2023 年 2 月 2 日 (木) 5 時 37 分 35 秒 (日本時間)

77×10281+49

c259

composite cofactor 合成数の残り
6475644749148860346307450747846570815190530189598043484418038547635837102700058624599772009321921203693368291014414528870246846228020566084787318451000560884918518185583286317030729501816574526152226388346732633430532273193390922578811746597516244611438496561<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 19, 2023 11:10:05 UTC 2023 年 1 月 19 日 (木) 20 時 10 分 5 秒 (日本時間)

77×10282+49

c268

composite cofactor 合成数の残り
3463121802884184587183404780366143439614462000485504700003474260719125785411715049705201997167434670054072849225594476063514947874925372282974371043670391400852916781525218123846262737797262877800153857337261411318730443749937854821339368868727785151037854268607755249<268>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 19, 2023 11:09:56 UTC 2023 年 1 月 19 日 (木) 20 時 9 分 56 秒 (日本時間)

77×10284+49

c176

composite cofactor 合成数の残り
56880969430123527686316097146770741293965073895098815454881206752653342279938164130881121077835476686139729078707593440190412152479374101900871063309480028468593877682961133753<176>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 26, 2022 14:23:14 UTC 2022 年 12 月 26 日 (月) 23 時 23 分 14 秒 (日本時間)
4511e64480Ignacio SantosJanuary 3, 2023 13:29:37 UTC 2023 年 1 月 3 日 (火) 22 時 29 分 37 秒 (日本時間)
5043e61792 / 6453Dmitry DomanovMay 10, 2024 19:35:51 UTC 2024 年 5 月 11 日 (土) 4 時 35 分 51 秒 (日本時間)

77×10285+49

c283

composite cofactor 合成数の残り
1108807096365416738667127469615805541155463394965727780657796209895743332757329646909740222337422959506940844421404296987500720004608029491388744887967282990611139911295432290766660906629802430735556707562928402741777547376303208340533379413628247220782213006163239444732446287656241<283>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 13, 2023 12:37:11 UTC 2023 年 1 月 13 日 (金) 21 時 37 分 11 秒 (日本時間)

77×10288+49

c266

composite cofactor 合成数の残り
13826060902587142442621721310347071424992306470774242585576835009503836465117754488240844565339563095565900183069008080794091806162103554803514556283280227361564228981392449702524425348003116775668033364525445896248086563562598709056788908225985029064221724410101421<266>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 19, 2023 11:09:48 UTC 2023 年 1 月 19 日 (木) 20 時 9 分 48 秒 (日本時間)

77×10289+49

c269

composite cofactor 合成数の残り
68064122651384058547818714824642748955433606150789672161327109503845574562579526556034456462807486769338708782950882308822834518116833007547171881979890276005484847619631151141206923536218218384553766817371116743231796491019329258172768887837660409996143234650778034263<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 19, 2023 11:09:41 UTC 2023 年 1 月 19 日 (木) 20 時 9 分 41 秒 (日本時間)

77×10290+49

c278

composite cofactor 合成数の残り
99232149985240964693604293418998057189863875104752199147633301964980051917117143652502057970445768475529813396727757986666619128602590290883013680316911476028327794120406071185815119128134827436795403351612306799790192121275655794479986272279495660938044171459842019554503295757<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 13, 2023 12:37:19 UTC 2023 年 1 月 13 日 (金) 21 時 37 分 19 秒 (日本時間)

77×10292+49

c172

name 名前Ignacio Santos
date 日付January 2, 2023 14:36:12 UTC 2023 年 1 月 2 日 (月) 23 時 36 分 12 秒 (日本時間)
composite number 合成数
3969604894094423205075240386218752112101046112889557432169730298563110459547294270071998055882886761746482252397496097521798609282307121641048204961426231903493910502592283<172>
prime factors 素因数
1070243669104358986989560619578951305666096769<46>
composite cofactor 合成数の残り
3709066457189525114514817124333280755153582981374801906166900421342954196792038144012496523891959451464615632393595910974302107<127>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1696731909
Step 1 took 23453ms
Step 2 took 10360ms
********** Factor found in step 2: 1070243669104358986989560619578951305666096769
Found prime factor of 46 digits: 1070243669104358986989560619578951305666096769
Composite cofactor 3709066457189525114514817124333280755153582981374801906166900421342954196792038144012496523891959451464615632393595910974302107 has 127 digits
software ソフトウェア
GMP-ECM

c127

name 名前Ignacio Santos
date 日付January 5, 2023 06:32:21 UTC 2023 年 1 月 5 日 (木) 15 時 32 分 21 秒 (日本時間)
composite number 合成数
3709066457189525114514817124333280755153582981374801906166900421342954196792038144012496523891959451464615632393595910974302107<127>
prime factors 素因数
4926646689866521899233739194117425604612527<43>
752858219936614776786078875790981785635686064883351080069978251698263346570942275541<84>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4122735643
Step 1 took 16282ms
Step 2 took 7781ms
********** Factor found in step 2: 4926646689866521899233739194117425604612527
Found prime factor of 43 digits: 4926646689866521899233739194117425604612527
Prime cofactor 752858219936614776786078875790981785635686064883351080069978251698263346570942275541 has 84 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 JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 26, 2022 13:44:51 UTC 2022 年 12 月 26 日 (月) 22 時 44 分 51 秒 (日本時間)

77×10294+49

c269

composite cofactor 合成数の残り
15092892783049723484585079970163762937412401065148196119728123969849630667170324544289466994533886234695954353906372787239201171960472592423825664972735218925261405516142889823722556058369947449642017329438493980179676793832008193154695903015008352499927095160219428367<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 19, 2023 11:09:33 UTC 2023 年 1 月 19 日 (木) 20 時 9 分 33 秒 (日本時間)

77×10295+49

c272

composite cofactor 合成数の残り
28032305746959876824480401541264310491912076818936707205422813607276782000474524719631845853648053189152196835271639360432985005933153849782595019496641143237683762381370460418146242156114368017734703789276082844798916190337385861231951386736879296380438401269115814465157<272>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 13, 2023 12:37:27 UTC 2023 年 1 月 13 日 (金) 21 時 37 分 27 秒 (日本時間)

77×10296+49

c262

composite cofactor 合成数の残り
8585330368506757061167651579360832765480761477065343566742244922215638170017964385370842189385483658286464241096430616271134738210940222805860835595021766109852277430594865278099045008444925993854531763714025134765104524270748331966933490204099520070596296536663<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 19, 2023 11:09:22 UTC 2023 年 1 月 19 日 (木) 20 時 9 分 22 秒 (日本時間)

77×10297+49

c274

composite cofactor 合成数の残り
1552430108166969490665002354380957241147831443194332114852444537930721561697192493454060045098856085484523238533088074796700949212204669634574768713719408649640356242855214354101748980679749921619943051365541573144580910553240580424555344195203546116573851959914744291914233<274>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 13, 2023 12:37:35 UTC 2023 年 1 月 13 日 (金) 21 時 37 分 35 秒 (日本時間)

77×10298+49

c278

composite cofactor 合成数の残り
18497310552235297335693384496746437289537285130032952743829638203801016058599846523148033467899506302280761997059335232859803602124335259761786218501914520943968602634466195318348449946265082184155923254399831604391963461404842302617131488436992173306921364129034782502858927303<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 13, 2023 12:37:42 UTC 2023 年 1 月 13 日 (金) 21 時 37 分 42 秒 (日本時間)

77×10299+49

c183

name 名前Ignacio Santos
date 日付January 4, 2023 23:11:17 UTC 2023 年 1 月 5 日 (木) 8 時 11 分 17 秒 (日本時間)
composite number 合成数
127768379149807906756242467137530481978477376142144942179996285661798631585188536920732874866758224254573918987324426710058915141665610307726954262037908754121602984162649788098125797<183>
prime factors 素因数
233518814977769604359049760493102355024519149<45>
547143831480864317517916000429090915543691277845840503217446913769300269518963304139015474589362050439780257555566885451248289896564904153<138>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1354236539
Step 1 took 27391ms
Step 2 took 11187ms
********** Factor found in step 2: 233518814977769604359049760493102355024519149
Found prime factor of 45 digits: 233518814977769604359049760493102355024519149
Prime cofactor 547143831480864317517916000429090915543691277845840503217446913769300269518963304139015474589362050439780257555566885451248289896564904153 has 138 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 JeancolasDecember 22, 2022 01:00:00 UTC 2022 年 12 月 22 日 (木) 10 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 26, 2022 16:30:04 UTC 2022 年 12 月 27 日 (火) 1 時 30 分 4 秒 (日本時間)