Table of contents 目次

89×10112-359

c110

name 名前Dmitry Domanov
date 日付February 20, 2023 22:18:35 UTC 2023 年 2 月 21 日 (火) 7 時 18 分 35 秒 (日本時間)
composite number 合成数
16092577524636108850917638549859868004701202422927402585661332610071422113732935539282162553114546605189404213<110>
prime factors 素因数
68309205578295297221289083028111732357197<41>
235584316760805609859655708260713250445453476519439241859294828251529<69>
factorization results 素因数分解の結果
N=16092577524636108850917638549859868004701202422927402585661332610071422113732935539282162553114546605189404213
  ( 110 digits)
SNFS difficulty: 113 digits.
Divisors found:
 r1=68309205578295297221289083028111732357197 (pp41)
 r2=235584316760805609859655708260713250445453476519439241859294828251529 (pp69)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.01 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 16092577524636108850917638549859868004701202422927402585661332610071422113732935539282162553114546605189404213
m: 10000000000000000000000000000
deg: 4
c4: 89
c0: -35
skew: 0.79
# Murphy_E = 7.197e-08
type: snfs
lss: 1
rlim: 550000
alim: 550000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 550000/550000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [275000, 575001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 61183 x 61415
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,113.000,4,0,0,0,0,0,0,0,0,550000,550000,25,25,45,45,2.2,2.2,20000
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 JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

89×10113-359

c106

name 名前Dmitry Domanov
date 日付February 20, 2023 22:32:02 UTC 2023 年 2 月 21 日 (火) 7 時 32 分 2 秒 (日本時間)
composite number 合成数
5406362871777464895157062449817828502704066803741048813318384193282016440682672860001586494147440584838953<106>
prime factors 素因数
4908509179946030907520635913927373264729023429739<49>
1101426660026519068755469000495764542159550210509771524027<58>
factorization results 素因数分解の結果
N=5406362871777464895157062449817828502704066803741048813318384193282016440682672860001586494147440584838953
  ( 106 digits)
SNFS difficulty: 114 digits.
Divisors found:
 r1=4908509179946030907520635913927373264729023429739 (pp49)
 r2=1101426660026519068755469000495764542159550210509771524027 (pp58)
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: 5406362871777464895157062449817828502704066803741048813318384193282016440682672860001586494147440584838953
m: 10000000000000000000000000000
deg: 4
c4: 178
c0: -7
skew: 0.45
# Murphy_E = 6.541e-08
type: snfs
lss: 1
rlim: 560000
alim: 560000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 560000/560000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [280000, 660001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 65321 x 65546
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,114.000,4,0,0,0,0,0,0,0,0,560000,560000,25,25,45,45,2.2,2.2,20000
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 JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

89×10125-359

c126

name 名前Norman Powell
date 日付February 25, 2023 16:41:07 UTC 2023 年 2 月 26 日 (日) 1 時 41 分 7 秒 (日本時間)
composite number 合成数
197777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<126>
prime factors 素因数
929497314235873599854308888531677905436689937587009<51>
212779289136911654243482390677686715871345508473423966548675421019121640753<75>
factorization results 素因数分解の結果
n: 197777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
skew: 328377.86
c0: -11559501968650737197610764719456
c1: 231736389786919586181745136
c2: 284116383293773971406
c3: -5461978758642131
c4: -4249971180
c5: 15300
Y0: -1668389088603790927858959
Y1: 8882349155653
rlim: 7400000
alim: 7400000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5

nfs: commencing nfs on c126: 197777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
nfs: commencing poly selection with 7 threads
nfs: setting deadline of 4356 seconds
nfs: completed 45 ranges of size 250 in 4461.1704 seconds
nfs: best poly = # norm 5.579052e-012 alpha -7.015951 e 1.443e-010 rroots 5
nfs: commencing lattice sieving with 7 threads
nfs: commencing msieve filtering
nfs: raising min_rels by 5.00 percent to 10605065
nfs: commencing lattice sieving with 7 threads
nfs: commencing msieve filtering
nfs: raising min_rels by 5.00 percent to 11161628
nfs: commencing lattice sieving with 7 threads
nfs: commencing msieve linear algebra
nfs: commencing msieve sqrt
prp75 = 212779289136911654243482390677686715871345508473423966548675421019121640753
prp51 = 929497314235873599854308888531677905436689937587009
NFS elapsed time = 42170.1559 seconds.
software ソフトウェア
YAFU v1.35 r373
execution environment 実行環境
Windows 10 v22H2.

ECM

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

89×10135-359

c128

name 名前Bob Backstrom
date 日付February 25, 2023 19:24:12 UTC 2023 年 2 月 26 日 (日) 4 時 24 分 12 秒 (日本時間)
composite number 合成数
18926730344927868545325839628329288823971054445352363952288464619433060999693968593215464908447423265115261932343057241961786521<128>
prime factors 素因数
13311806180489072813116721108417384901424652729488993<53>
1421800324336791437644878523217891859329334087152999764676124679214550749497<76>
factorization results 素因数分解の結果
Number: n
N=18926730344927868545325839628329288823971054445352363952288464619433060999693968593215464908447423265115261932343057241961786521  ( 128 digits)
SNFS difficulty: 136 digits.
Divisors found:

Sun Feb 26 06:20:43 2023  prp53 factor: 13311806180489072813116721108417384901424652729488993
Sun Feb 26 06:20:43 2023  prp76 factor: 1421800324336791437644878523217891859329334087152999764676124679214550749497
Sun Feb 26 06:20:43 2023  elapsed time 00:04:15 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.096).
Factorization parameters were as follows:
#
# N = 89x10^135-35 = 98(134)5
#
n: 18926730344927868545325839628329288823971054445352363952288464619433060999693968593215464908447423265115261932343057241961786521
m: 1000000000000000000000000000000000
deg: 4
c4: 17800
c0: -7
skew: 0.14
# Murphy_E = 5.401e-09
type: snfs
lss: 1
rlim: 1310000
alim: 1310000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1310000/1310000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 19055000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 510201 hash collisions in 6526195 relations (6720700 unique)
Msieve: matrix is 272174 x 272422 (73.2 MB)

Sieving start time: 2023/02/26 05:31:13
Sieving end time  : 2023/02/26 06:13:56

Total sieving time: 0hrs 42min 43secs.

Total relation processing time: 0hrs 2min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 36sec.

Prototype def-par.txt line would be:
snfs,136,4,0,0,0,0,0,0,0,0,1310000,1310000,26,26,48,48,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

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

89×10136-359

c137

name 名前Bob Backstrom
date 日付February 21, 2023 21:58:39 UTC 2023 年 2 月 22 日 (水) 6 時 58 分 39 秒 (日本時間)
composite number 合成数
19777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<137>
prime factors 素因数
50252548059615663729179159611010422099701147184478780869493<59>
393567660575439487570513941331113516861490140046536783572686528055821892565389<78>
factorization results 素因数分解の結果
Number: n
N=19777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777  ( 137 digits)
SNFS difficulty: 137 digits.
Divisors found:

Wed Feb 22 08:55:29 2023  prp59 factor: 50252548059615663729179159611010422099701147184478780869493
Wed Feb 22 08:55:29 2023  prp78 factor: 393567660575439487570513941331113516861490140046536783572686528055821892565389
Wed Feb 22 08:55:29 2023  elapsed time 00:05:23 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.083).
Factorization parameters were as follows:
#
# N = 89x10^136-35 = 98(135)5
#
n: 19777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
m: 10000000000000000000000000000000000
deg: 4
c4: 89
c0: -35
skew: 0.79
# Murphy_E = 5.051e-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, 100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1552548 hash collisions in 11651188 relations (10786680 unique)
Msieve: matrix is 421772 x 422020 (42.7 MB)

Sieving start time: 2023/02/22 08:22:50
Sieving end time  : 2023/02/22 08:49:52

Total sieving time: 0hrs 27min 2secs.

Total relation processing time: 0hrs 3min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 7sec.

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 JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

89×10138-359

c138

name 名前Bob Backstrom
date 日付February 22, 2023 15:45:15 UTC 2023 年 2 月 23 日 (木) 0 時 45 分 15 秒 (日本時間)
composite number 合成数
659259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259<138>
prime factors 素因数
2026119898327420206944233025775881088696193707897610622749<58>
325380181006802003707709575519163918520427123837845442938868437161719031689135991<81>
factorization results 素因数分解の結果
Number: n
N=659259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259  ( 138 digits)
SNFS difficulty: 139 digits.
Divisors found:

Wed Feb 22 18:24:29 2023  prp58 factor: 2026119898327420206944233025775881088696193707897610622749
Wed Feb 22 18:24:29 2023  prp81 factor: 325380181006802003707709575519163918520427123837845442938868437161719031689135991
Wed Feb 22 18:24:29 2023  elapsed time 00:03:17 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.055).
Factorization parameters were as follows:
#
# N = 89x10^138-35 = 98(137)5
#
n: 659259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259
m: 10000000000000000000000000000000000
deg: 4
c4: 1780
c0: -7
skew: 0.25
# Murphy_E = 3.897e-09
type: snfs
lss: 1
rlim: 1470000
alim: 1470000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1470000/1470000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 4735000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 540991 hash collisions in 6964898 relations (7176003 unique)
Msieve: matrix is 231573 x 231821 (61.2 MB)

Sieving start time: 2023/02/22 17:35:00
Sieving end time  : 2023/02/22 18:18:57

Total sieving time: 0hrs 43min 57secs.

Total relation processing time: 0hrs 1min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 18sec.

Prototype def-par.txt line would be:
snfs,139,4,0,0,0,0,0,0,0,0,1470000,1470000,26,26,48,48,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

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

89×10140-359

c123

name 名前Bob Backstrom
date 日付February 24, 2023 04:42:56 UTC 2023 年 2 月 24 日 (金) 13 時 42 分 56 秒 (日本時間)
composite number 合成数
763065584783228699029860280913170232450167011006738981559415569934142437400875876132514071390785734830140810577607200766079<123>
prime factors 素因数
21386252637626728987328197393218846011<38>
35680191275805832933960683196408296955680799586152393686727740900335343013847547170189<86>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 763065584783228699029860280913170232450167011006738981559415569934142437400875876132514071390785734830140810577607200766079 (123 digits)
Using B1=36790000, B2=192390318136, polynomial Dickson(12), sigma=1:2330502221
Step 1 took 57316ms
Step 2 took 22721ms
********** Factor found in step 2: 21386252637626728987328197393218846011
Found prime factor of 38 digits: 21386252637626728987328197393218846011
Prime cofactor 35680191275805832933960683196408296955680799586152393686727740900335343013847547170189 has 86 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e6175 / 2078Rytis SlatkevičiusFebruary 22, 2023 12:12:01 UTC 2023 年 2 月 22 日 (水) 21 時 12 分 1 秒 (日本時間)

89×10147-359

c135

name 名前Bob Backstrom
date 日付February 23, 2023 21:20:47 UTC 2023 年 2 月 24 日 (金) 6 時 20 分 47 秒 (日本時間)
composite number 合成数
628965182039696728010858090707582358988462062259036105390963052308471013204810809682671854720721542104537119449654303065352635642067483<135>
prime factors 素因数
224084097700345848387238209529574288633802851449<48>
2806826492796351570801657080634910311343028474521486175516453569627439284922471188399667<88>
factorization results 素因数分解の結果
Number: n
N=628965182039696728010858090707582358988462062259036105390963052308471013204810809682671854720721542104537119449654303065352635642067483  ( 135 digits)
SNFS difficulty: 148 digits.
Divisors found:

Fri Feb 24 08:17:45 2023  prp48 factor: 224084097700345848387238209529574288633802851449
Fri Feb 24 08:17:45 2023  prp88 factor: 2806826492796351570801657080634910311343028474521486175516453569627439284922471188399667
Fri Feb 24 08:17:45 2023  elapsed time 00:07:06 (Msieve 1.44 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.030).
Factorization parameters were as follows:
#
# N = 89x10^147-35 = 98(146)5
#
n: 628965182039696728010858090707582358988462062259036105390963052308471013204810809682671854720721542104537119449654303065352635642067483
m: 1000000000000000000000000000000000000
deg: 4
c4: 17800
c0: -7
skew: 0.14
# Murphy_E = 1.353e-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, 12250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 631316 hash collisions in 7001531 relations (7112908 unique)
Msieve: matrix is 396727 x 396952 (110.1 MB)

Sieving start time: 2023/02/24 06:43:23
Sieving end time  : 2023/02/24 08:10:31

Total sieving time: 1hrs 27min 8secs.

Total relation processing time: 0hrs 4min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 32sec.

Prototype def-par.txt line would be:
snfs,148,4,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
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 JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

89×10149-359

c134

name 名前Bob Backstrom
date 日付February 25, 2023 06:47:05 UTC 2023 年 2 月 25 日 (土) 15 時 47 分 5 秒 (日本時間)
composite number 合成数
21412171572036235920320338414655837742346613604923538339239036951525785974344456076656013422266825753013052256737318417537720447908111<134>
prime factors 素因数
283226730036845562433862568974179780936144615754623<51>
75600814828638106924091768924237450807193264999856721076726301285523830446552390257<83>
factorization results 素因数分解の結果
Number: n
N=21412171572036235920320338414655837742346613604923538339239036951525785974344456076656013422266825753013052256737318417537720447908111  ( 134 digits)
SNFS difficulty: 150 digits.
Divisors found:

Sat Feb 25 17:41:54 2023  prp51 factor: 283226730036845562433862568974179780936144615754623
Sat Feb 25 17:41:54 2023  prp83 factor: 75600814828638106924091768924237450807193264999856721076726301285523830446552390257
Sat Feb 25 17:41:54 2023  elapsed time 00:06:53 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.082).
Factorization parameters were as follows:
#
# N = 89x10^149-35 = 98(148)5
#
n: 21412171572036235920320338414655837742346613604923538339239036951525785974344456076656013422266825753013052256737318417537720447908111
m: 10000000000000000000000000000000000000
deg: 4
c4: 178
c0: -7
skew: 0.45
# Murphy_E = 1.134e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved  special-q in [100000, 19500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 965259 hash collisions in 11578692 relations (11846624 unique)
Msieve: matrix is 428135 x 428362 (117.6 MB)

Sieving start time: 2023/02/25 15:52:02
Sieving end time  : 2023/02/25 17:34:51

Total sieving time: 1hrs 42min 49secs.

Total relation processing time: 0hrs 4min 38sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 15sec.

Prototype def-par.txt line would be:
snfs,150,4,0,0,0,0,0,0,0,0,2200000,2200000,27,27,49,49,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

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

89×10154-359

c141

name 名前Bob Backstrom
date 日付March 1, 2023 14:01:49 UTC 2023 年 3 月 1 日 (水) 23 時 1 分 49 秒 (日本時間)
composite number 合成数
219835729519825692350993425912201423012197794538284732839824032622701849525941371712965262050137492542405251005450723559332022460322197633477<141>
prime factors 素因数
42282005456224147095035098079992084213559198162780819<53>
5199273949941384497389635941203916642025802136032019160205269955660479187027209396064583<88>
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 219835729519825692350993425912201423012197794538284732839824032622701849525941371712965262050137492542405251005450723559332022460322197633477 (141 digits)
Using B1=35630000, B2=192388936756, polynomial Dickson(12), sigma=1:3770251832
Step 1 took 72043ms
Step 2 took 28047ms
********** Factor found in step 2: 42282005456224147095035098079992084213559198162780819
Found prime factor of 53 digits: 42282005456224147095035098079992084213559198162780819
Prime cofactor 5199273949941384497389635941203916642025802136032019160205269955660479187027209396064583 has 88 digits

ECM

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

89×10155-359

c156

name 名前Bob Backstrom
date 日付March 3, 2023 08:05:09 UTC 2023 年 3 月 3 日 (金) 17 時 5 分 9 秒 (日本時間)
composite number 合成数
197777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<156>
prime factors 素因数
363655404250219748634533445480753235006778485106755046207735183721296214697729<78>
543860411439652804760943178591176440726755415767555799046037328741578705593713<78>
factorization results 素因数分解の結果
Number: n
N=197777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777  ( 156 digits)
SNFS difficulty: 156 digits.
Divisors found:

Fri Mar  3 19:00:57 2023  prp78 factor: 363655404250219748634533445480753235006778485106755046207735183721296214697729
Fri Mar  3 19:00:57 2023  prp78 factor: 543860411439652804760943178591176440726755415767555799046037328741578705593713
Fri Mar  3 19:00:57 2023  elapsed time 00:08:26 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.108).
Factorization parameters were as follows:
#
# N = 89x10^155-35 = 98(154)5
#
n: 197777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
m: 10000000000000000000000000000000
deg: 5
c5: 89
c0: -35
skew: 0.83
# Murphy_E = 7.596e-10
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 19850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 853024 hash collisions in 11931263 relations (11873552 unique)
Msieve: matrix is 467520 x 467750 (130.4 MB)

Sieving start time: 2023/03/03 16:35:04
Sieving end time  : 2023/03/03 18:52:07

Total sieving time: 2hrs 17min 3secs.

Total relation processing time: 0hrs 5min 43sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 27sec.

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

ECM

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

89×10163-359

c159

name 名前Bob Backstrom
date 日付March 5, 2023 10:14:29 UTC 2023 年 3 月 5 日 (日) 19 時 14 分 29 秒 (日本時間)
composite number 合成数
333526328905677629939421875204940686652013993115866671913148244958224890432853467643261737597223861747715438334167149155597527408181888021345685049963368316123<159>
prime factors 素因数
423355267684917305807824513210068955106562494501883691448463917<63>
787816650373900680193462614702946375589012149566140345972351274566264019693908460244505350830119<96>
factorization results 素因数分解の結果
Number: n
N=333526328905677629939421875204940686652013993115866671913148244958224890432853467643261737597223861747715438334167149155597527408181888021345685049963368316123  ( 159 digits)
SNFS difficulty: 164 digits.
Divisors found:

Sun Mar  5 21:10:59 2023  prp63 factor: 423355267684917305807824513210068955106562494501883691448463917
Sun Mar  5 21:10:59 2023  prp96 factor: 787816650373900680193462614702946375589012149566140345972351274566264019693908460244505350830119
Sun Mar  5 21:10:59 2023  elapsed time 00:16:23 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.083).
Factorization parameters were as follows:
#
# N = 89x10^163-35 = 98(162)5
#
n: 333526328905677629939421875204940686652013993115866671913148244958224890432853467643261737597223861747715438334167149155597527408181888021345685049963368316123
m: 100000000000000000000000000000000
deg: 5
c5: 17800
c0: -7
skew: 0.21
# Murphy_E = 3.08e-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, 27500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1377246 hash collisions in 14223342 relations (13754595 unique)
Msieve: matrix is 675067 x 675299 (188.0 MB)

Sieving start time: 2023/03/05 18:00:15
Sieving end time  : 2023/03/05 20:54:25

Total sieving time: 2hrs 54min 10secs.

Total relation processing time: 0hrs 12min 6sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 23sec.

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 JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

89×10164-359

c130

name 名前Norman Powell
date 日付March 12, 2023 17:00:42 UTC 2023 年 3 月 13 日 (月) 2 時 0 分 42 秒 (日本時間)
composite number 合成数
5568843802128510734679101265822792066920841156598769895316973858868242766972183811192023070004080012676638088989768797582329590151<130>
prime factors 素因数
6140943591049286509197525426540906536867607931479169003716403579<64>
906838455615414206594320498170754423151900425305049422285762720869<66>
factorization results 素因数分解の結果
nfs: commencing nfs on c130: 5568843802128510734679101265822792066920841156598769895316973858868242766972183811192023070004080012676638088989768797582329590151
nfs: commencing poly selection with 6 threads
nfs: setting deadline of 9317 seconds
nfs: completed 37 ranges of size 250 in 9421.6371 seconds
nfs: best poly = # norm 1.966194e-012 alpha -6.540994 e 8.147e-011 rroots 3
nfs: commencing lattice sieving with 6 threads
nfs: commencing msieve filtering
nfs: commencing msieve linear algebra
nfs: commencing msieve sqrt
prp66 = 906838455615414206594320498170754423151900425305049422285762720869
prp64 = 6140943591049286509197525426540906536867607931479169003716403579
NFS elapsed time = 86425.5588 seconds.
software ソフトウェア
YAFU V1.35 r373
execution environment 実行環境
Windows 10 v22H2

ECM

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

89×10165-359

c147

name 名前Bob Backstrom
date 日付March 8, 2023 17:26:56 UTC 2023 年 3 月 9 日 (木) 2 時 26 分 56 秒 (日本時間)
composite number 合成数
186466623240447327536723901061389356686019394313318102342962905191859204952414240300506974453298816831999375148645425197918722197484994321144785031<147>
prime factors 素因数
46581823244853038431976875384468450741<38>
128665329899625894830880465125279703914339419<45>
31111652918374142088633804136515441305424400951037794762828676689<65>
factorization results 素因数分解の結果
Number: n
N=4002991086465267733286926820351506342555954775116728021044593202266633589121521352348057150966958407359103691  ( 109 digits)
SNFS difficulty: 166 digits.
Divisors found:

Thu Mar  9 04:23:13 2023  prp45 factor: 128665329899625894830880465125279703914339419
Thu Mar  9 04:23:13 2023  prp65 factor: 31111652918374142088633804136515441305424400951037794762828676689
Thu Mar  9 04:23:13 2023  elapsed time 00:13:31 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.095).
Factorization parameters were as follows:
#
# N = 89x10^165-35 = 98(164)5
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 186466623240447327536723901061389356686019394313318102342962905191859204952414240300506974453298816831999375148645425197918722197484994321144785031 (147 digits)
# Using B1=30590000, B2=144289975846, polynomial Dickson(12), sigma=1:2839651735
# Step 1 took 61413ms
# ********** Factor found in step 1: 46581823244853038431976875384468450741
# Found prime factor of 38 digits: 46581823244853038431976875384468450741
# Composite cofactor 4002991086465267733286926820351506342555954775116728021044593202266633589121521352348057150966958407359103691 has 109 digits
#
n: 4002991086465267733286926820351506342555954775116728021044593202266633589121521352348057150966958407359103691
m: 1000000000000000000000000000000000
deg: 5
c5: 89
c0: -35
skew: 0.83
# Murphy_E = 3.102e-10
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 13300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1563230 hash collisions in 13789445 relations (13038006 unique)
Msieve: matrix is 599312 x 599538 (168.3 MB)

Sieving start time: 2023/03/09 02:25:07
Sieving end time  : 2023/03/09 04:09:14

Total sieving time: 1hrs 44min 7secs.

Total relation processing time: 0hrs 9min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 11sec.

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

ECM

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

89×10166-359

c144

name 名前Bob Backstrom
date 日付March 9, 2023 03:20:24 UTC 2023 年 3 月 9 日 (木) 12 時 20 分 24 秒 (日本時間)
composite number 合成数
626371191413337736523027856097240123250087591483833663050898559678969634376004155736040702328912372706542384975121432604867892335418977994879111<144>
prime factors 素因数
5802833779733869825213694561328736001848561910892296480417663961956033<70>
107942294263349455817458872936848351800123176516681719844264329461514455367<75>
factorization results 素因数分解の結果
Number: n
N=626371191413337736523027856097240123250087591483833663050898559678969634376004155736040702328912372706542384975121432604867892335418977994879111  ( 144 digits)
SNFS difficulty: 167 digits.
Divisors found:

Thu Mar  9 14:06:02 2023  prp70 factor: 5802833779733869825213694561328736001848561910892296480417663961956033
Thu Mar  9 14:06:02 2023  prp75 factor: 107942294263349455817458872936848351800123176516681719844264329461514455367
Thu Mar  9 14:06:02 2023  elapsed time 00:16:56 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.087).
Factorization parameters were as follows:
#
# N = 89x10^166-35 = 98(165)5
#
n: 626371191413337736523027856097240123250087591483833663050898559678969634376004155736040702328912372706542384975121432604867892335418977994879111
m: 1000000000000000000000000000000000
deg: 5
c5: 178
c0: -7
skew: 0.52
# Murphy_E = 2.574e-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, 13350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1547998 hash collisions in 12842925 relations (12017432 unique)
Msieve: matrix is 676559 x 676784 (190.3 MB)

Sieving start time: 2023/03/09 12:31:46
Sieving end time  : 2023/03/09 13:48:53

Total sieving time: 1hrs 17min 7secs.

Total relation processing time: 0hrs 12min 27sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 2sec.

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 JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

89×10171-359

c149

name 名前Bob Backstrom
date 日付March 11, 2023 07:34:37 UTC 2023 年 3 月 11 日 (土) 16 時 34 分 37 秒 (日本時間)
composite number 合成数
50645163363585600052921829062537171546258276013574852847561923240027826840149433332933775864655613354724931077438477932477802775636222251258359030023<149>
prime factors 素因数
354228814494849495286363092399397483193<39>
142973019955501060081394199866407656316523920114659628663008505808029027521893000779567332087929523858522149311<111>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 50645163363585600052921829062537171546258276013574852847561923240027826840149433332933775864655613354724931077438477932477802775636222251258359030023 (149 digits)
Using B1=31790000, B2=144291357226, polynomial Dickson(12), sigma=1:979357865
Step 1 took 65569ms
********** Factor found in step 1: 354228814494849495286363092399397483193
Found prime factor of 39 digits: 354228814494849495286363092399397483193
Prime cofactor 142973019955501060081394199866407656316523920114659628663008505808029027521893000779567332087929523858522149311 has 111 digits

ECM

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

89×10173-359

c128

name 名前Lionel Debroux
date 日付April 6, 2023 22:46:13 UTC 2023 年 4 月 7 日 (金) 7 時 46 分 13 秒 (日本時間)
composite number 合成数
37781687324966861809399207711165256236608196539852624309792492960653813180511768473722961710683001317434478593276206165342367599<128>
prime factors 素因数
82923188185964835213700628226578128397520019444394430287<56>
455622705198418812812102117811385823594117635234655280141820715344516577<72>
factorization results 素因数分解の結果
455622705198418812812102117811385823594117635234655280141820715344516577 82923188185964835213700628226578128397520019444394430287
software ソフトウェア
CADO-NFS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e621161816Rytis SlatkevičiusMarch 26, 2023 15:02:45 UTC 2023 年 3 月 27 日 (月) 0 時 2 分 45 秒 (日本時間)
300Rytis SlatkevičiusMarch 27, 2023 07:29:45 UTC 2023 年 3 月 27 日 (月) 16 時 29 分 45 秒 (日本時間)

89×10174-359

c133

name 名前anonymous
date 日付March 12, 2023 10:03:21 UTC 2023 年 3 月 12 日 (日) 19 時 3 分 21 秒 (日本時間)
composite number 合成数
4653399710796496483675575274295004319574300001099955064173817988891953744280891294448054677476568361351391923319246914021980489104329<133>
prime factors 素因数
246218431918282546833538501963090931<36>
18899477486482058540799115977477449760312787586427327195958269063638626689959903069933212928357459<98>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:17075254208336806103
Step 1 took 8547ms
Step 2 took 3422ms
********** Factor found in step 2: 246218431918282546833538501963090931
Found prime factor of 36 digits: 246218431918282546833538501963090931
Prime cofactor 18899477486482058540799115977477449760312787586427327195958269063638626689959903069933212928357459 has 98 digits
software ソフトウェア
GMP-ECM 7.0.5

ECM

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

89×10177-359

c120

name 名前Ignacio Santos
date 日付February 27, 2023 10:36:10 UTC 2023 年 2 月 27 日 (月) 19 時 36 分 10 秒 (日本時間)
composite number 合成数
802034801962414766030229411369123336988449347855832633648079674068202116976064982150092580533010633009819615848264469963<120>
prime factors 素因数
274139128155640743844721000712466230587<39>
2925648765859737526718294207514501116008862038876310936082137184995633996879337649<82>
factorization results 素因数分解の結果
-> makeJobFile(): Adjusted to q0=2100000, q1=2200000.
->               client 1 q0: 2100000
      LatSieveTime: 94
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 130
-> makeJobFile(): Adjusted to q0=2200001, q1=2300000.
->               client 1 q0: 2200001
      LatSieveTime: 92
        LatSieveTime: 93
        LatSieveTime: 93
        LatSieveTime: 97
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 123
        LatSieveTime: 128
-> makeJobFile(): Adjusted to q0=2300001, q1=2400000.
->               client 1 q0: 2300001
      LatSieveTime: 85
        LatSieveTime: 90
        LatSieveTime: 94
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 98
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 129
        LatSieveTime: 129
-> makeJobFile(): Adjusted to q0=2400001, q1=2500000.
->               client 1 q0: 2400001
      LatSieveTime: 89
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 98
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 123
        LatSieveTime: 124
-> makeJobFile(): Adjusted to q0=2500001, q1=2600000.
->               client 1 q0: 2500001
      LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 102
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 127
        LatSieveTime: 129
-> makeJobFile(): Adjusted to q0=2600001, q1=2700000.
->               client 1 q0: 2600001
      LatSieveTime: 94
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 122
-> makeJobFile(): Adjusted to q0=2700001, q1=2800000.
->               client 1 q0: 2700001
      LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 123
        LatSieveTime: 129
        LatSieveTime: 129
        LatSieveTime: 138
-> makeJobFile(): Adjusted to q0=2800001, q1=2900000.
->               client 1 q0: 2800001
      LatSieveTime: 84
        LatSieveTime: 88
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 126
        LatSieveTime: 127
        LatSieveTime: 127
        LatSieveTime: 130
        LatSieveTime: 131
        LatSieveTime: 140
-> makeJobFile(): Adjusted to q0=2900001, q1=3000000.
->               client 1 q0: 2900001
      LatSieveTime: 97
        LatSieveTime: 99
        LatSieveTime: 101
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 108
        LatSieveTime: 110
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 126
        LatSieveTime: 130
        LatSieveTime: 130
        LatSieveTime: 136
-> makeJobFile(): Adjusted to q0=3000001, q1=3100000.
->               client 1 q0: 3000001
      LatSieveTime: 89
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 126
        LatSieveTime: 127
        LatSieveTime: 129
        LatSieveTime: 137
-> makeJobFile(): Adjusted to q0=3100001, q1=3200000.
->               client 1 q0: 3100001
      LatSieveTime: 93
        LatSieveTime: 94
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 100
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 104
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 138
-> makeJobFile(): Adjusted to q0=3200001, q1=3300000.
->               client 1 q0: 3200001
      LatSieveTime: 94
        LatSieveTime: 95
        LatSieveTime: 97
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 127
        LatSieveTime: 129
        LatSieveTime: 130
        LatSieveTime: 131
        LatSieveTime: 133
-> makeJobFile(): Adjusted to q0=3300001, q1=3400000.
->               client 1 q0: 3300001
      LatSieveTime: 83
        LatSieveTime: 91
        LatSieveTime: 93
        LatSieveTime: 98
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 127
        LatSieveTime: 127
        LatSieveTime: 129
        LatSieveTime: 130
        LatSieveTime: 130
        LatSieveTime: 132
        LatSieveTime: 136
-> makeJobFile(): Adjusted to q0=3400001, q1=3500000.
->               client 1 q0: 3400001
      LatSieveTime: 95
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 105
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 126
        LatSieveTime: 126
        LatSieveTime: 129
        LatSieveTime: 130
        LatSieveTime: 131
        LatSieveTime: 137
-> makeJobFile(): Adjusted to q0=3500001, q1=3600000.
->               client 1 q0: 3500001
      LatSieveTime: 91
        LatSieveTime: 93
        LatSieveTime: 93
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 101
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 127
        LatSieveTime: 140
-> makeJobFile(): Adjusted to q0=3600001, q1=3700000.
->               client 1 q0: 3600001
      LatSieveTime: 89
        LatSieveTime: 94
        LatSieveTime: 94
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 104
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 117
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 126
        LatSieveTime: 130
        LatSieveTime: 130
        LatSieveTime: 133
        LatSieveTime: 134
-> makeJobFile(): Adjusted to q0=3700001, q1=3800000.
->               client 1 q0: 3700001
      LatSieveTime: 93
        LatSieveTime: 97
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 127
        LatSieveTime: 127
        LatSieveTime: 128
        LatSieveTime: 129
        LatSieveTime: 130
        LatSieveTime: 130
        LatSieveTime: 131
        LatSieveTime: 135
-> makeJobFile(): Adjusted to q0=3800001, q1=3900000.
->               client 1 q0: 3800001
      LatSieveTime: 94
        LatSieveTime: 99
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 111
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 126
        LatSieveTime: 126
        LatSieveTime: 126
        LatSieveTime: 130
        LatSieveTime: 131
        LatSieveTime: 134
        LatSieveTime: 135
        LatSieveTime: 137
        LatSieveTime: 145
-> makeJobFile(): Adjusted to q0=3900001, q1=4000000.
->               client 1 q0: 3900001
      LatSieveTime: 102
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 119
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        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 128
        LatSieveTime: 129
        LatSieveTime: 130
        LatSieveTime: 132
        LatSieveTime: 139
-> makeJobFile(): Adjusted to q0=4000001, q1=4100000.
->               client 1 q0: 4000001
      LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 113
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        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 116
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        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 123
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        LatSieveTime: 126
        LatSieveTime: 127
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        LatSieveTime: 129
        LatSieveTime: 130
        LatSieveTime: 130
        LatSieveTime: 130
        LatSieveTime: 131
        LatSieveTime: 132
        LatSieveTime: 132
        LatSieveTime: 135
        LatSieveTime: 137
-> makeJobFile(): Adjusted to q0=4100001, q1=4200000.
->               client 1 q0: 4100001
      LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 106
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        LatSieveTime: 107
        LatSieveTime: 107
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        LatSieveTime: 109
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        LatSieveTime: 111
        LatSieveTime: 113
        LatSieveTime: 113
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        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 120
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        LatSieveTime: 126
        LatSieveTime: 127
        LatSieveTime: 127
        LatSieveTime: 128
        LatSieveTime: 129
        LatSieveTime: 129
        LatSieveTime: 131
-> makeJobFile(): Adjusted to q0=4200001, q1=4300000.
->               client 1 q0: 4200001
      LatSieveTime: 96
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 109
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
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        LatSieveTime: 113
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        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 126
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        LatSieveTime: 130
        LatSieveTime: 134
Mon Feb 27 11:22:35 2023  
Mon Feb 27 11:22:35 2023  
Mon Feb 27 11:22:35 2023  Msieve v. 1.52 (SVN 927)
Mon Feb 27 11:22:35 2023  random seeds: 2a62ec00 2d2d98ea
Mon Feb 27 11:22:35 2023  factoring 802034801962414766030229411369123336988449347855832633648079674068202116976064982150092580533010633009819615848264469963 (120 digits)
Mon Feb 27 11:22:35 2023  searching for 15-digit factors
Mon Feb 27 11:22:35 2023  commencing number field sieve (120-digit input)
Mon Feb 27 11:22:35 2023  R0: -125229903441169416921917
Mon Feb 27 11:22:35 2023  R1: 9050384064667
Mon Feb 27 11:22:35 2023  A0: 19986773048106777295389534600
Mon Feb 27 11:22:35 2023  A1: 1035923512463235375588942
Mon Feb 27 11:22:35 2023  A2: -31922132902751249305
Mon Feb 27 11:22:35 2023  A3: -1041924313173238
Mon Feb 27 11:22:35 2023  A4: 9960349970
Mon Feb 27 11:22:35 2023  A5: 26040
Mon Feb 27 11:22:35 2023  skew 68598.01, size 1.183e-011, alpha -5.496, combined = 2.380e-010 rroots = 5
Mon Feb 27 11:22:35 2023  
Mon Feb 27 11:22:35 2023  commencing relation filtering
Mon Feb 27 11:22:35 2023  estimated available RAM is 65413.5 MB
Mon Feb 27 11:22:35 2023  commencing duplicate removal, pass 1
Mon Feb 27 11:22:52 2023  error -15 reading relation 8409850
Mon Feb 27 11:22:56 2023  found 1110007 hash collisions in 10397707 relations
Mon Feb 27 11:23:06 2023  added 63521 free relations
Mon Feb 27 11:23:06 2023  commencing duplicate removal, pass 2
Mon Feb 27 11:23:10 2023  found 868766 duplicates and 9592462 unique relations
Mon Feb 27 11:23:10 2023  memory use: 49.3 MB
Mon Feb 27 11:23:10 2023  reading ideals above 100000
Mon Feb 27 11:23:10 2023  commencing singleton removal, initial pass
Mon Feb 27 11:23:46 2023  memory use: 344.5 MB
Mon Feb 27 11:23:46 2023  reading all ideals from disk
Mon Feb 27 11:23:46 2023  memory use: 341.6 MB
Mon Feb 27 11:23:46 2023  keeping 10636754 ideals with weight <= 200, target excess is 51275
Mon Feb 27 11:23:47 2023  commencing in-memory singleton removal
Mon Feb 27 11:23:47 2023  begin with 9592462 relations and 10636754 unique ideals
Mon Feb 27 11:23:51 2023  reduce to 3350588 relations and 3267787 ideals in 19 passes
Mon Feb 27 11:23:51 2023  max relations containing the same ideal: 102
Mon Feb 27 11:23:52 2023  removing 191645 relations and 179984 ideals in 11661 cliques
Mon Feb 27 11:23:52 2023  commencing in-memory singleton removal
Mon Feb 27 11:23:52 2023  begin with 3158943 relations and 3267787 unique ideals
Mon Feb 27 11:23:53 2023  reduce to 3149399 relations and 3078207 ideals in 8 passes
Mon Feb 27 11:23:53 2023  max relations containing the same ideal: 95
Mon Feb 27 11:23:53 2023  removing 137842 relations and 126181 ideals in 11661 cliques
Mon Feb 27 11:23:53 2023  commencing in-memory singleton removal
Mon Feb 27 11:23:53 2023  begin with 3011557 relations and 3078207 unique ideals
Mon Feb 27 11:23:54 2023  reduce to 3005990 relations and 2946435 ideals in 11 passes
Mon Feb 27 11:23:54 2023  max relations containing the same ideal: 92
Mon Feb 27 11:23:54 2023  relations with 0 large ideals: 174
Mon Feb 27 11:23:54 2023  relations with 1 large ideals: 432
Mon Feb 27 11:23:54 2023  relations with 2 large ideals: 6922
Mon Feb 27 11:23:54 2023  relations with 3 large ideals: 57774
Mon Feb 27 11:23:54 2023  relations with 4 large ideals: 252815
Mon Feb 27 11:23:54 2023  relations with 5 large ideals: 629500
Mon Feb 27 11:23:54 2023  relations with 6 large ideals: 895620
Mon Feb 27 11:23:54 2023  relations with 7+ large ideals: 1162753
Mon Feb 27 11:23:54 2023  commencing 2-way merge
Mon Feb 27 11:23:56 2023  reduce to 1652609 relation sets and 1593056 unique ideals
Mon Feb 27 11:23:56 2023  ignored 3 oversize relation sets
Mon Feb 27 11:23:56 2023  commencing full merge
Mon Feb 27 11:24:15 2023  memory use: 178.7 MB
Mon Feb 27 11:24:15 2023  found 820591 cycles, need 815256
Mon Feb 27 11:24:15 2023  weight of 815256 cycles is about 57248659 (70.22/cycle)
Mon Feb 27 11:24:15 2023  distribution of cycle lengths:
Mon Feb 27 11:24:15 2023  1 relations: 102821
Mon Feb 27 11:24:15 2023  2 relations: 100669
Mon Feb 27 11:24:15 2023  3 relations: 99908
Mon Feb 27 11:24:15 2023  4 relations: 88008
Mon Feb 27 11:24:15 2023  5 relations: 73983
Mon Feb 27 11:24:15 2023  6 relations: 63273
Mon Feb 27 11:24:15 2023  7 relations: 52411
Mon Feb 27 11:24:15 2023  8 relations: 42295
Mon Feb 27 11:24:15 2023  9 relations: 34835
Mon Feb 27 11:24:15 2023  10+ relations: 157053
Mon Feb 27 11:24:15 2023  heaviest cycle: 26 relations
Mon Feb 27 11:24:15 2023  commencing cycle optimization
Mon Feb 27 11:24:16 2023  start with 4902499 relations
Mon Feb 27 11:24:22 2023  pruned 87092 relations
Mon Feb 27 11:24:22 2023  memory use: 170.3 MB
Mon Feb 27 11:24:22 2023  distribution of cycle lengths:
Mon Feb 27 11:24:22 2023  1 relations: 102821
Mon Feb 27 11:24:22 2023  2 relations: 102728
Mon Feb 27 11:24:22 2023  3 relations: 102927
Mon Feb 27 11:24:22 2023  4 relations: 89263
Mon Feb 27 11:24:22 2023  5 relations: 74974
Mon Feb 27 11:24:22 2023  6 relations: 63400
Mon Feb 27 11:24:22 2023  7 relations: 52026
Mon Feb 27 11:24:22 2023  8 relations: 41936
Mon Feb 27 11:24:22 2023  9 relations: 34295
Mon Feb 27 11:24:22 2023  10+ relations: 150886
Mon Feb 27 11:24:22 2023  heaviest cycle: 26 relations
Mon Feb 27 11:24:23 2023  RelProcTime: 108
Mon Feb 27 11:24:23 2023  elapsed time 00:01:48
Mon Feb 27 11:24:23 2023  
Mon Feb 27 11:24:23 2023  
Mon Feb 27 11:24:23 2023  Msieve v. 1.52 (SVN 927)
Mon Feb 27 11:24:23 2023  random seeds: 5cb4a950 491d7c31
Mon Feb 27 11:24:23 2023  factoring 802034801962414766030229411369123336988449347855832633648079674068202116976064982150092580533010633009819615848264469963 (120 digits)
Mon Feb 27 11:24:23 2023  searching for 15-digit factors
Mon Feb 27 11:24:23 2023  commencing number field sieve (120-digit input)
Mon Feb 27 11:24:23 2023  R0: -125229903441169416921917
Mon Feb 27 11:24:23 2023  R1: 9050384064667
Mon Feb 27 11:24:23 2023  A0: 19986773048106777295389534600
Mon Feb 27 11:24:23 2023  A1: 1035923512463235375588942
Mon Feb 27 11:24:23 2023  A2: -31922132902751249305
Mon Feb 27 11:24:23 2023  A3: -1041924313173238
Mon Feb 27 11:24:23 2023  A4: 9960349970
Mon Feb 27 11:24:23 2023  A5: 26040
Mon Feb 27 11:24:23 2023  skew 68598.01, size 1.183e-011, alpha -5.496, combined = 2.380e-010 rroots = 5
Mon Feb 27 11:24:23 2023  
Mon Feb 27 11:24:23 2023  commencing linear algebra
Mon Feb 27 11:24:23 2023  read 815256 cycles
Mon Feb 27 11:24:24 2023  cycles contain 2921142 unique relations
Mon Feb 27 11:24:30 2023  read 2921142 relations
Mon Feb 27 11:24:32 2023  using 20 quadratic characters above 134217402
Mon Feb 27 11:24:40 2023  building initial matrix
Mon Feb 27 11:24:55 2023  memory use: 369.6 MB
Mon Feb 27 11:24:55 2023  read 815256 cycles
Mon Feb 27 11:24:56 2023  matrix is 815073 x 815256 (245.5 MB) with weight 77676982 (95.28/col)
Mon Feb 27 11:24:56 2023  sparse part has weight 55395429 (67.95/col)
Mon Feb 27 11:24:59 2023  filtering completed in 2 passes
Mon Feb 27 11:24:59 2023  matrix is 813339 x 813522 (245.4 MB) with weight 77604412 (95.39/col)
Mon Feb 27 11:24:59 2023  sparse part has weight 55375089 (68.07/col)
Mon Feb 27 11:25:00 2023  matrix starts at (0, 0)
Mon Feb 27 11:25:00 2023  matrix is 813339 x 813522 (245.4 MB) with weight 77604412 (95.39/col)
Mon Feb 27 11:25:00 2023  sparse part has weight 55375089 (68.07/col)
Mon Feb 27 11:25:00 2023  saving the first 48 matrix rows for later
Mon Feb 27 11:25:01 2023  matrix includes 64 packed rows
Mon Feb 27 11:25:01 2023  matrix is 813291 x 813522 (236.5 MB) with weight 61520980 (75.62/col)
Mon Feb 27 11:25:01 2023  sparse part has weight 53872102 (66.22/col)
Mon Feb 27 11:25:01 2023  using block size 8192 and superblock size 12582912 for processor cache size 131072 kB
Mon Feb 27 11:25:03 2023  commencing Lanczos iteration (32 threads)
Mon Feb 27 11:25:03 2023  memory use: 185.8 MB
Mon Feb 27 11:25:05 2023  linear algebra at 0.4%, ETA 0h 8m
Mon Feb 27 11:32:21 2023  lanczos halted after 12865 iterations (dim = 813291)
Mon Feb 27 11:32:21 2023  recovered 31 nontrivial dependencies
Mon Feb 27 11:32:21 2023  BLanczosTime: 478
Mon Feb 27 11:32:21 2023  elapsed time 00:07:58
Mon Feb 27 11:32:21 2023  
Mon Feb 27 11:32:21 2023  
Mon Feb 27 11:32:21 2023  Msieve v. 1.52 (SVN 927)
Mon Feb 27 11:32:21 2023  random seeds: 6fecc8e0 4100db7a
Mon Feb 27 11:32:21 2023  factoring 802034801962414766030229411369123336988449347855832633648079674068202116976064982150092580533010633009819615848264469963 (120 digits)
Mon Feb 27 11:32:21 2023  searching for 15-digit factors
Mon Feb 27 11:32:22 2023  commencing number field sieve (120-digit input)
Mon Feb 27 11:32:22 2023  R0: -125229903441169416921917
Mon Feb 27 11:32:22 2023  R1: 9050384064667
Mon Feb 27 11:32:22 2023  A0: 19986773048106777295389534600
Mon Feb 27 11:32:22 2023  A1: 1035923512463235375588942
Mon Feb 27 11:32:22 2023  A2: -31922132902751249305
Mon Feb 27 11:32:22 2023  A3: -1041924313173238
Mon Feb 27 11:32:22 2023  A4: 9960349970
Mon Feb 27 11:32:22 2023  A5: 26040
Mon Feb 27 11:32:22 2023  skew 68598.01, size 1.183e-011, alpha -5.496, combined = 2.380e-010 rroots = 5
Mon Feb 27 11:32:22 2023  
Mon Feb 27 11:32:22 2023  commencing square root phase
Mon Feb 27 11:32:22 2023  reading relations for dependency 1
Mon Feb 27 11:32:22 2023  read 405840 cycles
Mon Feb 27 11:32:22 2023  cycles contain 1458010 unique relations
Mon Feb 27 11:32:26 2023  read 1458010 relations
Mon Feb 27 11:32:29 2023  multiplying 1458010 relations
Mon Feb 27 11:33:05 2023  multiply complete, coefficients have about 66.99 million bits
Mon Feb 27 11:33:06 2023  initial square root is modulo 64433
Mon Feb 27 11:33:53 2023  GCD is N, no factor found
Mon Feb 27 11:33:53 2023  reading relations for dependency 2
Mon Feb 27 11:33:53 2023  read 406076 cycles
Mon Feb 27 11:33:54 2023  cycles contain 1458386 unique relations
Mon Feb 27 11:33:57 2023  read 1458386 relations
Mon Feb 27 11:34:00 2023  multiplying 1458386 relations
Mon Feb 27 11:34:39 2023  multiply complete, coefficients have about 67.01 million bits
Mon Feb 27 11:34:39 2023  initial square root is modulo 64609
Mon Feb 27 11:35:27 2023  sqrtTime: 185
Mon Feb 27 11:35:27 2023  prp39 factor: 274139128155640743844721000712466230587
Mon Feb 27 11:35:27 2023  prp82 factor: 2925648765859737526718294207514501116008862038876310936082137184995633996879337649
Mon Feb 27 11:35:27 2023  elapsed time 00:03:06
software ソフトウェア
GNFS, Msieve

ECM

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

89×10179-359

c176

name 名前Bob Backstrom
date 日付March 16, 2023 15:12:09 UTC 2023 年 3 月 17 日 (金) 0 時 12 分 9 秒 (日本時間)
composite number 合成数
10713275433496439942461284750434850646106807744855521248999392111899560033463938994516969707912777085627960445142612955840841654177876484360423475314326297479972795502831795557<176>
prime factors 素因数
175847834428188320745766899112688579808548562062144545131344002253<66>
60923556257222279432915946070839429724870405559721466978204317276818810643361622095124445877178939097769771769<110>
factorization results 素因数分解の結果
Number: n
N=10713275433496439942461284750434850646106807744855521248999392111899560033463938994516969707912777085627960445142612955840841654177876484360423475314326297479972795502831795557  ( 176 digits)
SNFS difficulty: 180 digits.
Divisors found:

Fri Mar 17 02:08:58 2023  prp66 factor: 175847834428188320745766899112688579808548562062144545131344002253
Fri Mar 17 02:08:58 2023  prp110 factor: 60923556257222279432915946070839429724870405559721466978204317276818810643361622095124445877178939097769771769
Fri Mar 17 02:08:58 2023  elapsed time 00:40:18 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.104).
Factorization parameters were as follows:
#
# N = 9x10^179-35 = 98(178)5
#
n: 10713275433496439942461284750434850646106807744855521248999392111899560033463938994516969707912777085627960445142612955840841654177876484360423475314326297479972795502831795557
m: 100000000000000000000000000000000000
deg: 5
c5: 178000
c0: -7
skew: 0.13
# Murphy_E = 7.384e-11
type: snfs
lss: 1
rlim: 7100000
alim: 7100000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7100000/7100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 14750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1310124 hash collisions in 13156442 relations (12664258 unique)
Msieve: matrix is 1112083 x 1112308 (316.8 MB)

Sieving start time: 2023/03/16 22:01:40
Sieving end time  : 2023/03/17 01:28:23

Total sieving time: 3hrs 26min 43secs.

Total relation processing time: 0hrs 35min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 32sec.

Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,7100000,7100000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

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

89×10180-359

c162

name 名前Bob Backstrom
date 日付March 21, 2023 08:25:32 UTC 2023 年 3 月 21 日 (火) 17 時 25 分 32 秒 (日本時間)
composite number 合成数
629494528162453980914821835960593349915203154518478938282656370449400367357524304357579443553233947268954156438154430845901060871460928113512773054860239374406559<162>
prime factors 素因数
548769983907856842270212383392869356225486429446233<51>
1147100873994142284719496098427245918585221658046432135689040806432488800864735105297374185471253199235079050423<112>
factorization results 素因数分解の結果
Number: n
N=629494528162453980914821835960593349915203154518478938282656370449400367357524304357579443553233947268954156438154430845901060871460928113512773054860239374406559  ( 162 digits)
SNFS difficulty: 181 digits.
Divisors found:

Tue Mar 21 19:15:58 2023  prp51 factor: 548769983907856842270212383392869356225486429446233
Tue Mar 21 19:15:58 2023  prp112 factor: 1147100873994142284719496098427245918585221658046432135689040806432488800864735105297374185471253199235079050423
Tue Mar 21 19:15:58 2023  elapsed time 00:34:16 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.007).
Factorization parameters were as follows:
#
# N = 89x10^180-35 = 98(179)5
#
n: 629494528162453980914821835960593349915203154518478938282656370449400367357524304357579443553233947268954156438154430845901060871460928113512773054860239374406559
m: 1000000000000000000000000000000000000
deg: 5
c5: 89
c0: -35
skew: 0.83
# Murphy_E = 7.812e-11
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 14900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1443911 hash collisions in 13539910 relations (12917139 unique)
Msieve: matrix is 1013543 x 1013769 (286.8 MB)

Sieving start time: 2023/03/21 14:49:43
Sieving end time  : 2023/03/21 18:41:27

Total sieving time: 3hrs 51min 44secs.

Total relation processing time: 0hrs 30min 5sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 10sec.

Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 15, 2023 16:51:27 UTC 2023 年 3 月 16 日 (木) 1 時 51 分 27 秒 (日本時間)

89×10181-359

c155

name 名前Bob Backstrom
date 日付March 19, 2023 18:31:25 UTC 2023 年 3 月 20 日 (月) 3 時 31 分 25 秒 (日本時間)
composite number 合成数
58767447859164863543838868759390955779742576276558749707237830448913011192835682691713882560566453524527929278427291516587404825452972419462667402145508449<155>
prime factors 素因数
3529701101984442887289340478579901426732640407527<49>
16649411993022597957865421459485361390590763814526302059976263740142651295856573929067053719638501206816887<107>
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 58767447859164863543838868759390955779742576276558749707237830448913011192835682691713882560566453524527929278427291516587404825452972419462667402145508449 (155 digits)
Using B1=37150000, B2=192390318136, polynomial Dickson(12), sigma=1:3058365178
Step 1 took 90093ms
Step 2 took 30913ms
********** Factor found in step 2: 3529701101984442887289340478579901426732640407527
Found prime factor of 49 digits: 3529701101984442887289340478579901426732640407527
Prime cofactor 16649411993022597957865421459485361390590763814526302059976263740142651295856573929067053719638501206816887 has 107 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 15, 2023 16:13:07 UTC 2023 年 3 月 16 日 (木) 1 時 13 分 7 秒 (日本時間)

89×10187-359

c162

name 名前Bob Backstrom
date 日付March 24, 2023 17:54:43 UTC 2023 年 3 月 25 日 (土) 2 時 54 分 43 秒 (日本時間)
composite number 合成数
913360562306560184357983102035733612038626935635847231097908487804477738743914347872025535354496086836641237095787239307512598587279238497325360181536200675935153<162>
prime factors 素因数
3081752867981450556235090070539013539<37>
120061301999121323216442380753443133947238606367918553<54>
2468546985577118428705313814445890270561083159210890073579301330220320659<73>
factorization results 素因数分解の結果
Number: n
N=296376965134395005033206391751427458766231412152978600278874894069845822552459635433165090355428517786786937069796902055286427  ( 126 digits)
SNFS difficulty: 188 digits.
Divisors found:

Sat Mar 25 04:45:59 2023  prp54 factor: 120061301999121323216442380753443133947238606367918553
Sat Mar 25 04:45:59 2023  prp73 factor: 2468546985577118428705313814445890270561083159210890073579301330220320659
Sat Mar 25 04:45:59 2023  elapsed time 01:27:44 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.086).
Factorization parameters were as follows:
#
# N = 89x10^187-35 = 98(186)5
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 913360562306560184357983102035733612038626935635847231097908487804477738743914347872025535354496086836641237095787239307512598587279238497325360181536200675935153 (162 digits)
# Using B1=33190000, B2=144292738606, polynomial Dickson(12), sigma=1:1320121749
# Step 1 took 80042ms
# ********** Factor found in step 1: 3081752867981450556235090070539013539
# Found prime factor of 37 digits: 3081752867981450556235090070539013539
# Composite cofactor 296376965134395005033206391751427458766231412152978600278874894069845822552459635433165090355428517786786937069796902055286427 has 126 digits
#

n: 296376965134395005033206391751427458766231412152978600278874894069845822552459635433165090355428517786786937069796902055286427

m: 10000000000000000000000000000000
deg: 6
c6: 178
c0: -7
skew: 0.58
# Murphy_E = 3.406e-11
type: snfs
lss: 1
rlim: 9600000
alim: 9600000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9600000/9600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1267228 hash collisions in 11905604 relations (11602106 unique)
Msieve: matrix is 1648480 x 1648709 (473.6 MB)

Sieving start time: 2023/03/24 21:21:47
Sieving end time  : 2023/03/25 03:17:52

Total sieving time: 5hrs 56min 5secs.

Total relation processing time: 1hrs 21min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 4sec.

Prototype def-par.txt line would be:
snfs,188,6,0,0,0,0,0,0,0,0,9600000,9600000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

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

89×10191-359

c145

name 名前Eric Jeancolas
date 日付June 29, 2023 09:55:24 UTC 2023 年 6 月 29 日 (木) 18 時 55 分 24 秒 (日本時間)
composite number 合成数
5989673371920570907593849450980437015405981141132412914886216432532667411463137651852244894079928359477909034032857153155957956357661821927215851<145>
prime factors 素因数
372831418809153765709895790222928216919378637572249527661<57>
16065366462547475376428958137715433463653196759166277535663418031713801626740604732676791<89>
factorization results 素因数分解の結果
5989673371920570907593849450980437015405981141132412914886216432532667411463137651852244894079928359477909034032857153155957956357661821927215851=372831418809153765709895790222928216919378637572249527661*16065366462547475376428958137715433463653196759166277535663418031713801626740604732676791

cado polynomial
n: 5989673371920570907593849450980437015405981141132412914886216432532667411463137651852244894079928359477909034032857153155957956357661821927215851
skew: 0.52
type: snfs
c0: -7
c5: 178
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 178*x^5-7
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 11200000
tasks.lim1 = 11200000
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: 16065366462547475376428958137715433463653196759166277535663418031713801626740604732676791 372831418809153765709895790222928216919378637572249527661
Info:Square Root: Total cpu/real time for sqrt: 2953.04/501.098
Info:Linear Algebra: Total cpu/real time for bwc: 91696.2/23797.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 58425.25, WCT time 15200.5, iteration CPU time 0.18, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (75776 iterations)
Info:Linear Algebra: Lingen CPU time 779.61, WCT time 99.31
Info:Linear Algebra: Mksol: CPU time 31640.73,  WCT time 8215.58, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (37888 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 162.95/20.88
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 227.58/180.077
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 178.8s
Info:Quadratic Characters: Total cpu/real time for characters: 110.31/27.8979
Info:Filtering - Merging: Merged matrix has 2423345 rows and total weight 414120755 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1480.23/202.137
Info:Filtering - Merging: Total cpu/real time for replay: 88.54/77.5303
Info:Filtering - Singleton removal: Total cpu/real time for purge: 692.24/567.822
Info:Square Root: Total cpu/real time for sqrt: 2953.04/501.098
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28724643
Info:Lattice Sieving: Average J: 1894.91 for 3086660 special-q, max bucket fill -bkmult 1.0,1s:1.148480
Info:Lattice Sieving: Total time: 1.041e+06s
Info:Generate Factor Base: Total cpu/real time for makefb: 6.19/1.65138
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 874.36/743.233
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 580.1999999999999s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.04689e+06/289267
16065366462547475376428958137715433463653196759166277535663418031713801626740604732676791 372831418809153765709895790222928216919378637572249527661
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 2, 2023 08:23:53 UTC 2023 年 3 月 2 日 (木) 17 時 23 分 53 秒 (日本時間)
2350Ignacio SantosApril 8, 2023 10:21:40 UTC 2023 年 4 月 8 日 (土) 19 時 21 分 40 秒 (日本時間)

89×10192-359

c145

name 名前Dmitry Domanov
date 日付March 2, 2023 10:14:36 UTC 2023 年 3 月 2 日 (木) 19 時 14 分 36 秒 (日本時間)
composite number 合成数
2256525549453115718055020530106785784895102743903768106560887178874191336530590496682932857927930379861513363436098611559958660732913527724205537<145>
prime factors 素因数
57780391364256414599360129948986506943804943<44>
39053483304182450272057680677833458769939994393381112759166718951055110493892393064867981816259417359<101>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1565569880
Step 1 took 6643ms
Step 2 took 3533ms
********** Factor found in step 2: 57780391364256414599360129948986506943804943
Found prime factor of 44 digits: 57780391364256414599360129948986506943804943
Prime cofactor 39053483304182450272057680677833458769939994393381112759166718951055110493892393064867981816259417359 has 101 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovMarch 2, 2023 08:24:07 UTC 2023 年 3 月 2 日 (木) 17 時 24 分 7 秒 (日本時間)

89×10196-359

c194

name 名前Bob Backstrom
date 日付April 24, 2023 14:57:13 UTC 2023 年 4 月 24 日 (月) 23 時 57 分 13 秒 (日本時間)
composite number 合成数
15988502649779933530944040240725770232641695859157459804185754064492948890685349860774274678882601275487290038623910895535794484864816311865624719302973142908470313482439593999820353902811461421<194>
prime factors 素因数
12955069411654415565331410911082555687458160880481<50>
118338811508049489937958799859425560317004455639164647347<57>
10428956253714153812299889648453596075252734047945055170407154507501520870594643836367103<89>
factorization results 素因数分解の結果
Number: n
N=15988502649779933530944040240725770232641695859157459804185754064492948890685349860774274678882601275487290038623910895535794484864816311865624719302973142908470313482439593999820353902811461421  ( 194 digits)
SNFS difficulty: 197 digits.
Divisors found:

Mon Apr 24 22:47:41 2023  prp50 factor: 12955069411654415565331410911082555687458160880481
Mon Apr 24 22:47:41 2023  prp57 factor: 118338811508049489937958799859425560317004455639164647347
Mon Apr 24 22:47:41 2023  prp89 factor: 10428956253714153812299889648453596075252734047945055170407154507501520870594643836367103
Mon Apr 24 22:47:41 2023  elapsed time 02:40:57 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.094).
Factorization parameters were as follows:
#
# N = 89x10^196-35 = 98(195)5
#
n: 15988502649779933530944040240725770232641695859157459804185754064492948890685349860774274678882601275487290038623910895535794484864816311865624719302973142908470313482439593999820353902811461421
m: 1000000000000000000000000000000000000000
deg: 5
c5: 178
c0: -7
skew: 0.52
# Murphy_E = 1.565e-11
type: snfs
lss: 1
rlim: 13600000
alim: 13600000
lpbr: 27
lpba: 27
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13600000/13600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 55/55
Sieved  special-q in [100000, 39600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2038869 hash collisions in 14436100 relations (13133312 unique)
Msieve: matrix is 2274617 x 2274842 (643.8 MB)

Sieving start time: 2023/04/24 05:38:33
Sieving end time  : 2023/04/24 20:06:27

Total sieving time: 14hrs 27min 54secs.

Total relation processing time: 2hrs 31min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 47sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13600000,13600000,27,27,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 2, 2023 08:24:16 UTC 2023 年 3 月 2 日 (木) 17 時 24 分 16 秒 (日本時間)
2350Ignacio SantosApril 22, 2023 07:15:02 UTC 2023 年 4 月 22 日 (土) 16 時 15 分 2 秒 (日本時間)

89×10199-359

c170

name 名前Bob Backstrom
date 日付May 13, 2023 11:17:47 UTC 2023 年 5 月 13 日 (土) 20 時 17 分 47 秒 (日本時間)
composite number 合成数
29148985248743283525132590684269807499658085530964847684109176249487877569956881320339498653176890909904699761711509179551959354999746227093123577828218429194445332536439<170>
prime factors 素因数
78822893800471873001636212750327481807710106358654590812621837939<65>
369803541120039203866029302719244637736035667858776083610884199088987011239700550955570985476988249611501<105>
factorization results 素因数分解の結果
Number: n
N=29148985248743283525132590684269807499658085530964847684109176249487877569956881320339498653176890909904699761711509179551959354999746227093123577828218429194445332536439  ( 170 digits)
SNFS difficulty: 200 digits.
Divisors found:

Sat May 13 21:08:08 2023  prp65 factor: 78822893800471873001636212750327481807710106358654590812621837939
Sat May 13 21:08:08 2023  prp105 factor: 369803541120039203866029302719244637736035667858776083610884199088987011239700550955570985476988249611501
Sat May 13 21:08:08 2023  elapsed time 02:42:48 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.101).
Factorization parameters were as follows:
#
# N = 89x10^199-35 = 98(198)5
#
n: 29148985248743283525132590684269807499658085530964847684109176249487877569956881320339498653176890909904699761711509179551959354999746227093123577828218429194445332536439
m: 1000000000000000000000000000000000
deg: 6
c6: 178
c0: -7
skew: 0.58
# Murphy_E = 1.39e-11
type: snfs
lss: 1
rlim: 15200000
alim: 15200000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 15200000/15200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 40400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1882045 hash collisions in 14029494 relations (13146036 unique)
Msieve: matrix is 2241609 x 2241836 (641.6 MB)

Sieving start time: 2023/05/13 03:07:29
Sieving end time  : 2023/05/13 18:25:05

Total sieving time: 15hrs 17min 36secs.

Total relation processing time: 2hrs 34min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 47sec.

Prototype def-par.txt line would be:
snfs,200,6,0,0,0,0,0,0,0,0,15200000,15200000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 2, 2023 08:24:23 UTC 2023 年 3 月 2 日 (木) 17 時 24 分 23 秒 (日本時間)
2350Ignacio SantosMay 9, 2023 15:34:17 UTC 2023 年 5 月 10 日 (水) 0 時 34 分 17 秒 (日本時間)

89×10200-359

c176

name 名前Eric Jeancolas
date 日付June 27, 2023 03:34:54 UTC 2023 年 6 月 27 日 (火) 12 時 34 分 54 秒 (日本時間)
composite number 合成数
12765072520697492455707221329996183882866771656395319119660957274661202511719971256289862337245047423633288515285071448353220022885106867979122010055185420401188870736613064771<176>
prime factors 素因数
1160903909851662684454495210651710115748785569651899<52>
10995804572945732078997801742767676501714702618842427644420915333148549369578835641447141729429652229614134119145186981410329<125>
factorization results 素因数分解の結果
12765072520697492455707221329996183882866771656395319119660957274661202511719971256289862337245047423633288515285071448353220022885106867979122010055185420401188870736613064771=1160903909851662684454495210651710115748785569651899*10995804572945732078997801742767676501714702618842427644420915333148549369578835641447141729429652229614134119145186981410329

cado polynomial
n: 12765072520697492455707221329996183882866771656395319119660957274661202511719971256289862337245047423633288515285071448353220022885106867979122010055185420401188870736613064771
skew: 0.83
type: snfs
c0: -35
c5: 89
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 89*x^5-35
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 16300000
tasks.lim1 = 16300000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 10995804572945732078997801742767676501714702618842427644420915333148549369578835641447141729429652229614134119145186981410329 1160903909851662684454495210651710115748785569651899
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 3238.26/1355.71
Info:HTTP server: Got notification to stop serving Workunits
Info:Linear Algebra: Total cpu/real time for bwc: 96130.1/26327
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 63822.97, WCT time 7952.39, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.04, comm-wait 0.0 (83968 iterations)
Info:Linear Algebra: Lingen CPU time 500.3, WCT time 32.29
Info:Linear Algebra: Mksol: CPU time 31210.0,  WCT time 18270.28, iteration CPU time 0.29, COMM 0.04, cpu-wait 0.11, comm-wait 0.0 (41984 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 130.85/12.094
Info:Square Root: Total cpu/real time for sqrt: 3238.26/1355.71
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 168.45/129.771
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 129.7s
Info:Quadratic Characters: Total cpu/real time for characters: 87.04/56.3261
Info:Filtering - Singleton removal: Total cpu/real time for purge: 164.66/90.7155
Info:Filtering - Merging: Merged matrix has 2683289 rows and total weight 458729414 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 594.44/35.2396
Info:Filtering - Merging: Total cpu/real time for replay: 50.45/43.9957
Info:Generate Factor Base: Total cpu/real time for makefb: 2.48/0.390277
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 43285182
Info:Lattice Sieving: Average J: 3789.66 for 1564232 special-q, max bucket fill -bkmult 1.0,1s:1.071790
Info:Lattice Sieving: Total time: 572381s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 393.35/233.741
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 213.0s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 1.19097e+06/76256.7
Info:root: Cleaning up computation data in /tmp/cado.9x04rzf7
10995804572945732078997801742767676501714702618842427644420915333148549369578835641447141729429652229614134119145186981410329 1160903909851662684454495210651710115748785569651899
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)]
13th Gen Intel(R) Core(TM) i7-13700KF (24 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62400dddJune 9, 2023 05:01:56 UTC 2023 年 6 月 9 日 (金) 14 時 1 分 56 秒 (日本時間)

89×10202-359

c171

name 名前Bob Backstrom
date 日付July 10, 2023 09:34:28 UTC 2023 年 7 月 10 日 (月) 18 時 34 分 28 秒 (日本時間)
composite number 合成数
467045106867243611873723884971392412330542372537236186114074564009922088483097995174511183015131923222211764912282394250034182089639754208033986575290511501493515587142683<171>
prime factors 素因数
113431158919058565381113109271445556895008997<45>
4117432205735590531627825675584292415800788568887446159000197102765279407895504940392648647937979679458400371958258314914269439<127>
factorization results 素因数分解の結果
Input number is 467045106867243611873723884971392412330542372537236186114074564009922088483097995174511183015131923222211764912282394250034182089639754208033986575290511501493515587142683 (171 digits)
Using B1=41790000, B2=192395152966, polynomial Dickson(12), sigma=1:1724699604
Step 1 took 97557ms
Step 2 took 30517ms
********** Factor found in step 2: 113431158919058565381113109271445556895008997
Found prime factor of 45 digits: 113431158919058565381113109271445556895008997
Prime cofactor 4117432205735590531627825675584292415800788568887446159000197102765279407895504940392648647937979679458400371958258314914269439 has 127 digits

ECM

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

89×10203-359

c202

name 名前Bob Backstrom
date 日付August 19, 2023 10:28:53 UTC 2023 年 8 月 19 日 (土) 19 時 28 分 53 秒 (日本時間)
composite number 合成数
8599033816425120772946859903381642512077294685990338164251207729468599033816425120772946859903381642512077294685990338164251207729468599033816425120772946859903381642512077294685990338164251207729468599<202>
prime factors 素因数
398935188773940037419313989054908730770321074331<48>
134500340698262709196528660903746306109232599131336019223700980071<66>
160259552871755523440381568528582594334066676010880755555987500674788864817034796784376099<90>
factorization results 素因数分解の結果
Number: n
N=21554964461402363862465627402940736486354360847856137486455116274528328633874169364620936101021152291678719250236253895909094381953473378185133606567723029  ( 155 digits)
SNFS difficulty: 204 digits.
Divisors found:

Sat Aug 19 03:37:53 2023  prp66 factor: 134500340698262709196528660903746306109232599131336019223700980071
Sat Aug 19 03:37:53 2023  prp90 factor: 160259552871755523440381568528582594334066676010880755555987500674788864817034796784376099
Sat Aug 19 03:37:53 2023  elapsed time 03:59:06 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.100).
Factorization parameters were as follows:
#
# N = 89x10^203-35 = 98(202)5
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 8599033816425120772946859903381642512077294685990338164251207729468599033816425120772946859903381642512077294685990338164251207729468599033816425120772946859903381642512077294685990338164251207729468599 (202 digits)
# Using B1=50930000, B2=288592384096, polynomial Dickson(12), sigma=1:3706627282
# Step 1 took 159539ms
# Step 2 took 51629ms
# ********** Factor found in step 2: 398935188773940037419313989054908730770321074331
# Found prime factor of 48 digits: 398935188773940037419313989054908730770321074331
# Composite cofactor 21554964461402363862465627402940736486354360847856137486455116274528328633874169364620936101021152291678719250236253895909094381953473378185133606567723029 has 155 digits
#

n: 21554964461402363862465627402940736486354360847856137486455116274528328633874169364620936101021152291678719250236253895909094381953473378185133606567723029
m: 10000000000000000000000000000000000000000
deg: 5
c5: 17800
c0: -7
skew: 0.21
# Murphy_E = 7.319e-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, 48900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3279567 hash collisions in 17144433 relations (14440665 unique)
Msieve: matrix is 2697038 x 2697263 (761.8 MB)

Sieving start time: 2023/08/18 04:52:55
Sieving end time  : 2023/08/18 23:38:25

Total sieving time: 18hrs 45min 30secs.

Total relation processing time: 3hrs 47min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 0sec.

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 JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

89×10205-359

c184

name 名前Bob Backstrom
date 日付January 12, 2024 20:18:38 UTC 2024 年 1 月 13 日 (土) 5 時 18 分 38 秒 (日本時間)
composite number 合成数
7284310636307584074801767401021222628782383574796092362534756772682819944620593092575423603076117876131353097409151725736753514939310408159703603288071681234808578031472139360382488871<184>
prime factors 素因数
1427390251267065006675203150692319788861586607301204702388147561646138937421<76>
5103236924759329935640546667063173002297639383914384310735924467075868485916711228758481862870563977079472451<109>
factorization results 素因数分解の結果
Number: n
N=7284310636307584074801767401021222628782383574796092362534756772682819944620593092575423603076117876131353097409151725736753514939310408159703603288071681234808578031472139360382488871  ( 184 digits)
SNFS difficulty: 206 digits.
Divisors found:

Sat Jan 13 06:22:10 2024  prp76 factor: 1427390251267065006675203150692319788861586607301204702388147561646138937421
Sat Jan 13 06:22:10 2024  prp109 factor: 5103236924759329935640546667063173002297639383914384310735924467075868485916711228758481862870563977079472451
Sat Jan 13 06:22:10 2024  elapsed time 03:10:49 (Msieve 1.44 - dependency 7)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.095).
Factorization parameters were as follows:
#
# N = 89x10^205-35 = 98(204)5
#
n: 7284310636307584074801767401021222628782383574796092362534756772682819944620593092575423603076117876131353097409151725736753514939310408159703603288071681234808578031472139360382488871
m: 10000000000000000000000000000000000
deg: 6
c6: 178
c0: -7
skew: 0.58
# Murphy_E = 8.814e-12
type: snfs
lss: 1
rlim: 19200000
alim: 19200000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19200000/19200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 49600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3378431 hash collisions in 19460651 relations (16764901 unique)
Msieve: matrix is 2318991 x 2319216 (658.7 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 2hrs 41min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 24min 3sec.

Prototype def-par.txt line would be:
snfs,206,6,0,0,0,0,0,0,0,0,19200000,19200000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 31, 2023 20:34:00 UTC 2023 年 9 月 1 日 (金) 5 時 34 分 0 秒 (日本時間)
2350Ignacio SantosJanuary 5, 2024 10:37:04 UTC 2024 年 1 月 5 日 (金) 19 時 37 分 4 秒 (日本時間)
4511e64480Ignacio SantosJanuary 7, 2024 12:11:49 UTC 2024 年 1 月 7 日 (日) 21 時 11 分 49 秒 (日本時間)

89×10206-359

c186

name 名前Bob Backstrom
date 日付June 10, 2024 03:51:22 UTC 2024 年 6 月 10 日 (月) 12 時 51 分 22 秒 (日本時間)
composite number 合成数
375611554791209013405145579263581673163329137004291430551744285310497332294214344291048305357704362399952346452024036797340054748241760086121744321411116655513649265144905352279975290397<186>
prime factors 素因数
1701638510678838234157112986976361236769586066103159<52>
5869715280971748044598134323908498098463776326046279<52>
37605780119290522462622452900384838832681806595399489259535221986351847258110171677<83>
factorization results 素因数分解の結果
Number: n
N=375611554791209013405145579263581673163329137004291430551744285310497332294214344291048305357704362399952346452024036797340054748241760086121744321411116655513649265144905352279975290397  ( 186 digits)
SNFS difficulty: 207 digits.
Divisors found:

Mon Jun 10 13:28:19 2024  prp52 factor: 1701638510678838234157112986976361236769586066103159
Mon Jun 10 13:28:19 2024  prp52 factor: 5869715280971748044598134323908498098463776326046279
Mon Jun 10 13:28:19 2024  prp83 factor: 37605780119290522462622452900384838832681806595399489259535221986351847258110171677
Mon Jun 10 13:28:19 2024  elapsed time 03:50:00 (Msieve 1.44 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.912).
Factorization parameters were as follows:
#
# N = 89x10^206-35 = 98(205)5
#
n: 375611554791209013405145579263581673163329137004291430551744285310497332294214344291048305357704362399952346452024036797340054748241760086121744321411116655513649265144905352279975290397
m: 100000000000000000000000000000000000000000
deg: 5
c5: 178
c0: -7
skew: 0.52
# Murphy_E = 5.949e-12
type: snfs
lss: 1
rlim: 19900000
alim: 19900000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19900000/19900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 57150000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 4934957 hash collisions in 21601097 relations (16605074 unique)
Msieve: matrix is 2630728 x 2630953 (739.7 MB)

Sieving start time: 2024/06/09 10:47:16
Sieving end time  : 2024/06/10 09:37:53

Total sieving time: 22hrs 50min 37secs.

Total relation processing time: 3hrs 37min 37sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 35sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,19900000,19900000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e627531792Dmitry DomanovAugust 31, 2023 20:34:07 UTC 2023 年 9 月 1 日 (金) 5 時 34 分 7 秒 (日本時間)
961Mehrshad AlipourJune 5, 2024 07:15:32 UTC 2024 年 6 月 5 日 (水) 16 時 15 分 32 秒 (日本時間)

89×10209-359

c104

name 名前Dmitry Domanov
date 日付February 21, 2023 11:45:51 UTC 2023 年 2 月 21 日 (火) 20 時 45 分 51 秒 (日本時間)
composite number 合成数
30601957074727378388015659981297461843712220427967573841465324618241608569508142897846497596220611022959<104>
prime factors 素因数
345360814637593650312860984919091799<36>
88608654420854657142753063234576866193049302700956138065467069180841<68>
factorization results 素因数分解の結果
N=30601957074727378388015659981297461843712220427967573841465324618241608569508142897846497596220611022959
  ( 104 digits)
Divisors found:
 r1=345360814637593650312860984919091799 (pp36)
 r2=88608654420854657142753063234576866193049302700956138065467069180841 (pp68)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.10 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 30601957074727378388015659981297461843712220427967573841465324618241608569508142897846497596220611022959
skew: 1208908.66
c0: 6089533246050540530654341344
c1: 8483559625195208933114
c2: -38954650248797349
c3: -14789998374
c4: 11760
Y0: -7142268527225943951209081
Y1: 36839578697713
rlim: 2360000
alim: 2360000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 40000
Factor base limits: 2360000/2360000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1180000, 1700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 294789 x 295017
Total sieving time: 0.00 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,103,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2360000,2360000,26,26,52,52,2.5,2.5,100000
total time: 0.10 hours.
 --------- CPU info (if available) ----------

ECM

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

89×10213-359

c210

composite cofactor 合成数の残り
496056628487027283114566786500571301173257531421564529164228186049104032550232700721790262798539698464453919683415544965582587854973107042332023520887328261293648803054371150684167990413287629239472730819608171<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 31, 2023 20:34:15 UTC 2023 年 9 月 1 日 (金) 5 時 34 分 15 秒 (日本時間)

89×10215-359

c143

name 名前Ignacio Santos
date 日付March 3, 2023 16:55:12 UTC 2023 年 3 月 4 日 (土) 1 時 55 分 12 秒 (日本時間)
composite number 合成数
16758871727810554170381405804279122707833279010744450220051790812999299632463936351560836721565705115898373210008126674752659418189117301676083<143>
prime factors 素因数
34864151096114078115949674398551213991942099<44>
480690657908446264088339895268756485477092715433268271327190790867892720226315952762232946234499617<99>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3338717781
Step 1 took 20844ms
Step 2 took 9156ms
********** Factor found in step 2: 34864151096114078115949674398551213991942099
Found prime factor of 44 digits: 34864151096114078115949674398551213991942099
Prime cofactor 480690657908446264088339895268756485477092715433268271327190790867892720226315952762232946234499617 has 99 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosFebruary 24, 2023 15:57:33 UTC 2023 年 2 月 25 日 (土) 0 時 57 分 33 秒 (日本時間)

89×10216-359

c188

composite cofactor 合成数の残り
89442958515329384825026860672810127678984316186054930764127507452538834435350847341006871677387484962879634275427092704530581472492252931547641235200781027799700074619046419478631011419101<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 31, 2023 20:34:24 UTC 2023 年 9 月 1 日 (金) 5 時 34 分 24 秒 (日本時間)

89×10217-359

c176

composite cofactor 合成数の残り
12853595207907658474015699549445094836030232796084047149441255726578101397294212515874787157586559043207398578739578382987681211527001180245698705365372093940286144466735792197<176>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 31, 2023 20:34:32 UTC 2023 年 9 月 1 日 (金) 5 時 34 分 32 秒 (日本時間)

89×10218-359

c173

composite cofactor 合成数の残り
61746943563662972424309740689816318868784977454086745817356729301622490247100511047921278446975769184676299132995507341579713848259436120471140686960025470908689317556916707<173>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 31, 2023 20:34:40 UTC 2023 年 9 月 1 日 (金) 5 時 34 分 40 秒 (日本時間)

89×10219-359

c179

composite cofactor 合成数の残り
13455475570676330985894560525425438308283031709648977641588019054094606576150345157938170474014450654439147244446089543848933214181394818190551246984447183632719926335362879325951<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 31, 2023 20:34:48 UTC 2023 年 9 月 1 日 (金) 5 時 34 分 48 秒 (日本時間)

89×10221-359

c215

composite cofactor 合成数の残り
28220897393779514916702295549626313304249003314798069887213281033351599229899273433971273060694414499377055398905793364972130199107785230789943981043040245520538970942733504976636347117481867716699670054902487524659<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 31, 2023 20:34:56 UTC 2023 年 9 月 1 日 (金) 5 時 34 分 56 秒 (日本時間)

89×10224-359

c181

composite cofactor 合成数の残り
1538750919637388382833303106677345652482420767338783456880747158145768757196960353181915531767141075152936388426867811759144542335103294854155945380857754186360219150472817248923221<181>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 31, 2023 20:35:04 UTC 2023 年 9 月 1 日 (金) 5 時 35 分 4 秒 (日本時間)

89×10226-359

c191

composite cofactor 合成数の残り
69580093429564770740810742103406061476713060323228108701745097238528784573020261124430505856437026766444802364664584269364413502675442624269933857413358192601999339190306843751448807911829769<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 31, 2023 20:35:12 UTC 2023 年 9 月 1 日 (金) 5 時 35 分 12 秒 (日本時間)

89×10227-359

c214

composite cofactor 合成数の残り
2029127167636784435694531833023654758492177898899824027894490550823670185232403779998476596759221954277894284525088688453181409411371512154111160909024151427095823058098023528092840048143722111353355849185448658431<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 31, 2023 20:35:21 UTC 2023 年 9 月 1 日 (金) 5 時 35 分 21 秒 (日本時間)

89×10229-359

c206

composite cofactor 合成数の残り
60019600389556179730087569039508824442938917098894922284946710888918325220344201843467314393526131777551899700034078665961738498429300917530164384582777888888999580513413607983608942632209019355298754187497<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 31, 2023 20:35:28 UTC 2023 年 9 月 1 日 (金) 5 時 35 分 28 秒 (日本時間)

89×10230-359

c188

composite cofactor 合成数の残り
30410379345891961866279835921488228586262710593507607166348580504185155537984031949841428922698999330286434322600810724372184534093879859846327756083441418535156744465013609543935910505063<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 31, 2023 20:35:37 UTC 2023 年 9 月 1 日 (金) 5 時 35 分 37 秒 (日本時間)

89×10231-359

c199

name 名前Dmitry Domanov
date 日付September 3, 2023 19:14:33 UTC 2023 年 9 月 4 日 (月) 4 時 14 分 33 秒 (日本時間)
composite number 合成数
1149565053668774034919879777698603951332147752266974176684853554115178116612094288864138170830127721895015747001150017911332628800517096270216026783302828698800627893196557304347949082489860975586691<199>
prime factors 素因数
2523949722719404800994417209399414329<37>
455462738944810071715412915492014577117128431960962134550934273055367616486228795994674867157519148627043349175330647860614729741440778066746710529043960404564379<162>
factorization results 素因数分解の結果
Resuming ECM residue saved by @98ee51f6288e with GMP-ECM 7.0.5-dev on Thu Aug 31 22:09:55 2023 
Input number is 1149565053668774034919879777698603951332147752266974176684853554115178116612094288864138170830127721895015747001150017911332628800517096270216026783302828698800627893196557304347949082489860975586691 (199 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2598897324
Step 1 took 1ms
Step 2 took 4441ms
********** Factor found in step 2: 2523949722719404800994417209399414329
Found prime factor of 37 digits: 2523949722719404800994417209399414329
Prime cofactor 455462738944810071715412915492014577117128431960962134550934273055367616486228795994674867157519148627043349175330647860614729741440778066746710529043960404564379 has 162 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 31, 2023 20:35:46 UTC 2023 年 9 月 1 日 (金) 5 時 35 分 46 秒 (日本時間)

89×10232-359

c213

composite cofactor 合成数の残り
630508383487491997121715318983762046191482456616903542784104656122495783529285653341941136581562788556328005209708361886013373463954092479369450506476786799591034227439112334194082434002145019074924524332611276609<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 31, 2023 20:35:53 UTC 2023 年 9 月 1 日 (金) 5 時 35 分 53 秒 (日本時間)

89×10234-359

c213

composite cofactor 合成数の残り
200578324363479734167210992262740124324661966528048752628472922844618328656176207157075940804238722188560798093222800754880311205373426783926153200336086327945570332210689830234541832102996155579612424080847264141<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 31, 2023 20:36:01 UTC 2023 年 9 月 1 日 (金) 5 時 36 分 1 秒 (日本時間)

89×10235-359

c213

composite cofactor 合成数の残り
262095890619207049776399449346983559706918651717104025842589790903982366446791203845151473253415812725646364680296118163251945298096147333738790073942517265755692884290105644600825740147444826769453473798363019211<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 31, 2023 20:36:11 UTC 2023 年 9 月 1 日 (金) 5 時 36 分 11 秒 (日本時間)

89×10238-359

c209

composite cofactor 合成数の残り
99973804951765516946785865717032216893275478305635499290784255664162109989048860946090548037579331616275870646048428915373764899014202985322478323769853268804077495353226383517714180546701244194380448619363051<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 31, 2023 20:38:05 UTC 2023 年 9 月 1 日 (金) 5 時 38 分 5 秒 (日本時間)

89×10239-359

c209

composite cofactor 合成数の残り
14817781203051488853786260267103705214117361628844666106869731620245785994514403295771243100451537179344493295673339702222490042385773618691359664851590334867989388940048758570292568679673048864439848988177409<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 31, 2023 20:38:18 UTC 2023 年 9 月 1 日 (金) 5 時 38 分 18 秒 (日本時間)

89×10241-359

c230

composite cofactor 合成数の残り
28292799258464720545232769208675643941092308792115750957932287902947776132420579943193493598495102928041274358063619819714264177433662695650994583324476221065955447353427560330821292049598397702843680375310087736898629883941301843<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 31, 2023 21:40:04 UTC 2023 年 9 月 1 日 (金) 6 時 40 分 4 秒 (日本時間)

89×10242-359

c201

composite cofactor 合成数の残り
346102105968291719543521250103230149348693038980633786835090967480195970584432069245733832124225595973400378946869265589200978792528188794359057355598533978686132312678528525390696498042186131475851731<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 31, 2023 20:38:27 UTC 2023 年 9 月 1 日 (金) 5 時 38 分 27 秒 (日本時間)

89×10243-359

c243

name 名前Dmitry Domanov
date 日付September 3, 2023 23:39:53 UTC 2023 年 9 月 4 日 (月) 8 時 39 分 53 秒 (日本時間)
composite number 合成数
659259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259<243>
prime factors 素因数
288290630189559048516768156898281641<36>
composite cofactor 合成数の残り
2286786978910060640460404121774519987655309807314396684356761535556488697918573871266121048890121143412333094353285824916661538379564326417456306075909894520687885067181661712397293613432227044707891477504899<208>
factorization results 素因数分解の結果
Resuming ECM residue saved by @2665a3643e9a with GMP-ECM 7.0.5-dev on Sat Sep  2 09:15:25 2023 
Input number is 659259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259 (243 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1797092287
Step 1 took 0ms
Step 2 took 7636ms
********** Factor found in step 2: 288290630189559048516768156898281641
Found prime factor of 36 digits: 288290630189559048516768156898281641
Composite cofactor 2286786978910060640460404121774519987655309807314396684356761535556488697918573871266121048890121143412333094353285824916661538379564326417456306075909894520687885067181661712397293613432227044707891477504899 has 208 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 31, 2023 21:39:53 UTC 2023 年 9 月 1 日 (金) 6 時 39 分 53 秒 (日本時間)

89×10244-359

c196

composite cofactor 合成数の残り
4381202879575920074609066270508240882942583252049389707784625801520793563246876505844335670105313982347206008443887985196399800791073234519103105542224704764010854321552840850685719786999628607749<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 31, 2023 20:38:35 UTC 2023 年 9 月 1 日 (金) 5 時 38 分 35 秒 (日本時間)

89×10245-359

c234

name 名前Dmitry Domanov
date 日付September 3, 2023 20:33:09 UTC 2023 年 9 月 4 日 (月) 5 時 33 分 9 秒 (日本時間)
composite number 合成数
911627269487976660426516902386903161723925049754368580050542801380212503796383309049655520228834182237166364183376182395800703652293373104308803547643946238265560830599321295387392969943133295794033321195108068623069714481909359220593<234>
prime factors 素因数
4129164481129805590151788557824658295597<40>
composite cofactor 合成数の残り
220777659416110454054270963024528068116732597892588908554357698915421074111298275947697560065312019274933073596942706920141724926895165817148253285973488767267321000572467991030586912320218765269<195>
factorization results 素因数分解の結果
Resuming ECM residue saved by @2665a3643e9a with GMP-ECM 7.0.5-dev on Sat Sep  2 09:10:57 2023 
Input number is 911627269487976660426516902386903161723925049754368580050542801380212503796383309049655520228834182237166364183376182395800703652293373104308803547643946238265560830599321295387392969943133295794033321195108068623069714481909359220593 (234 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1581263852
Step 1 took 0ms
Step 2 took 7957ms
********** Factor found in step 2: 4129164481129805590151788557824658295597
Found prime factor of 40 digits: 4129164481129805590151788557824658295597
Composite cofactor 220777659416110454054270963024528068116732597892588908554357698915421074111298275947697560065312019274933073596942706920141724926895165817148253285973488767267321000572467991030586912320218765269 has 195 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 31, 2023 21:39:44 UTC 2023 年 9 月 1 日 (金) 6 時 39 分 44 秒 (日本時間)

89×10250-359

c223

composite cofactor 合成数の残り
3751196965446518544222969609658551891660750078270890127454493413693886332521434776917848958757551930754529125964035053346367399233260190578646347720451255160315005622705376838136122716095494117516544957460723186796055485541<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 31, 2023 20:38:43 UTC 2023 年 9 月 1 日 (金) 5 時 38 分 43 秒 (日本時間)

89×10251-359

c244

composite cofactor 合成数の残り
2159390580090229844235284174459819317506094634251297669088419562815533442207137471776992582116070608932360623957752091050417508281563126987926021117847524128226636164571101242477794759201036791838641048049882087387229754498047882406790211928451<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 31, 2023 21:39:34 UTC 2023 年 9 月 1 日 (金) 6 時 39 分 34 秒 (日本時間)

89×10252-359

c244

name 名前Dmitry Domanov
date 日付September 1, 2023 11:52:28 UTC 2023 年 9 月 1 日 (金) 20 時 52 分 28 秒 (日本時間)
composite number 合成数
1745268403590902800486673428195320737214155316633978323833296673529296366186353908387747662144903019806317609379714110596827477941710260439229638146225683035735807860688242651433870697680310926296168439697927387691753452081852421004468508056159<244>
prime factors 素因数
140192189241249162798765278994481819248917<42>
composite cofactor 合成数の残り
12449112985799549182267887126431874342512358895748437095518640158021033024007400473335460320299658387676442622943963341480738331867921199628632672777665740053809819722192193861825131809266157994997656227<203>
factorization results 素因数分解の結果
GPU: factor 140192189241249162798765278994481819248917 found in Step 1 with curve 178 (-sigma 3:-746080414)
Computing 1792 Step 1 took 292ms of CPU time / 267502ms of GPU time
Throughput: 6.699 curves per second (on average 149.28ms per Step 1)
********** Factor found in step 1: 140192189241249162798765278994481819248917
Found prime factor of 42 digits: 140192189241249162798765278994481819248917
Composite cofactor 12449112985799549182267887126431874342512358895748437095518640158021033024007400473335460320299658387676442622943963341480738331867921199628632672777665740053809819722192193861825131809266157994997656227 has 203 digits
Peak memory usage: 9426MB

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 31, 2023 21:39:23 UTC 2023 年 9 月 1 日 (金) 6 時 39 分 23 秒 (日本時間)

89×10254-359

c237

composite cofactor 合成数の残り
796819268738031788731157827433290866697358189653992524518675599146969482171196366678170477188055013109987452899736849726065187125948944259426767771570247345169284444365205901128857834309701510552363383506296728159435786237429966946449027<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 31, 2023 21:39:12 UTC 2023 年 9 月 1 日 (金) 6 時 39 分 12 秒 (日本時間)

89×10255-359

c225

name 名前Dmitry Domanov
date 日付September 2, 2023 09:22:01 UTC 2023 年 9 月 2 日 (土) 18 時 22 分 1 秒 (日本時間)
composite number 合成数
500162118445276975316683743408071353384752452157703161415139636373896494964681903832586111076494635487827840585612917462788182123555837095571757905519806967778996713425613175426680693523161946689740428889656637040482820518363<225>
prime factors 素因数
20228808605109313050916971712148761<35>
composite cofactor 合成数の残り
24725238555025331115172908983362431993195360535796177770725624063846358332923940850661717584490469724370920003220488942161464642013286482113916715803386890083611584591348766757572205582379283<191>
factorization results 素因数分解の結果
Resuming ECM residue saved by @98ee51f6288e with GMP-ECM 7.0.5-dev on Thu Aug 31 21:37:35 2023 
Input number is 500162118445276975316683743408071353384752452157703161415139636373896494964681903832586111076494635487827840585612917462788182123555837095571757905519806967778996713425613175426680693523161946689740428889656637040482820518363 (225 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2631106685
Step 1 took 0ms
Step 2 took 5199ms
********** Factor found in step 2: 20228808605109313050916971712148761
Found prime factor of 35 digits: 20228808605109313050916971712148761
Composite cofactor 24725238555025331115172908983362431993195360535796177770725624063846358332923940850661717584490469724370920003220488942161464642013286482113916715803386890083611584591348766757572205582379283 has 191 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 31, 2023 20:38:52 UTC 2023 年 9 月 1 日 (金) 5 時 38 分 52 秒 (日本時間)

89×10257-359

c236

composite cofactor 合成数の残り
15109121066402513532130072931085026625714924392841208558010898434730117133496459074656156525631725596844780495947144191506947509316263573906534549413408769875644302039022864238620203532300719810405563024395589022543029536305561671437669<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 31, 2023 21:39:01 UTC 2023 年 9 月 1 日 (金) 6 時 39 分 1 秒 (日本時間)

89×10259-359

c256

composite cofactor 合成数の残り
5835874233631684207075177863020884561161929117078128585948001704862135667683026786007016163404478541687157798104980164584767712534015278187600406544047736139798695124750008196452575325399167240418346939444608373495950952427789252811383233336611914363463493<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 31, 2023 21:38:47 UTC 2023 年 9 月 1 日 (金) 6 時 38 分 47 秒 (日本時間)

89×10261-359

c218

name 名前Dmitry Domanov
date 日付September 2, 2023 09:21:41 UTC 2023 年 9 月 2 日 (土) 18 時 21 分 41 秒 (日本時間)
composite number 合成数
26390302344096392859014805877532667148317720776186151068754943853861391704327869766719487557317370003263178723132834060165617728070345951940144973055125614398611049828848307344078619145979998386982153806054099414441209<218>
prime factors 素因数
43129871637857941123241311524490084656699681059<47>
611879918532655194102452540350152542938917078342015201674038908943729320144117037439904161070749346188829285437942415353255559737206800437168191471414001401281518546540851<171>
factorization results 素因数分解の結果
Resuming ECM residue saved by @98ee51f6288e with GMP-ECM 7.0.5-dev on Thu Aug 31 21:31:43 2023 
Input number is 26390302344096392859014805877532667148317720776186151068754943853861391704327869766719487557317370003263178723132834060165617728070345951940144973055125614398611049828848307344078619145979998386982153806054099414441209 (218 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:586630725
Step 1 took 0ms
Step 2 took 5051ms
********** Factor found in step 2: 43129871637857941123241311524490084656699681059
Found prime factor of 47 digits: 43129871637857941123241311524490084656699681059
Prime cofactor 611879918532655194102452540350152542938917078342015201674038908943729320144117037439904161070749346188829285437942415353255559737206800437168191471414001401281518546540851 has 171 digits
Resuming ECM residue saved by @98ee51f6288e with GMP-ECM 7.0.5-dev on Thu Aug 31 21:34:39 2023 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 31, 2023 20:39:01 UTC 2023 年 9 月 1 日 (金) 5 時 39 分 1 秒 (日本時間)

89×10262-359

c243

composite cofactor 合成数の残り
401828646781062578443436022781909493280515543015455134469673415374342702972275808513504455114062688264433059515967873488086177285820031739273962503361759798216562693339737237052706871005746855376822763187992503248888032613618575248763245677981<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 31, 2023 21:40:57 UTC 2023 年 9 月 1 日 (金) 6 時 40 分 57 秒 (日本時間)

89×10265-359

c240

name 名前Dmitry Domanov
date 日付September 4, 2023 11:50:19 UTC 2023 年 9 月 4 日 (月) 20 時 50 分 19 秒 (日本時間)
composite number 合成数
525431543489943543399801520100506013239233132387290773802990809136939555296112184844983521677121158347377294744957854979831598342681363018803900119401182950531334673480575318888742121282172920260357499183036142618166715192003863890011213441<240>
prime factors 素因数
1036411815121843044836409393740581841<37>
506971780737729777799358644472381651098817009792625211367702663278350388705744986640910232432156588737086856279673311907818996214279752366013067918224290497697105643961680285618689361141073545246575047601<204>
factorization results 素因数分解の結果
Resuming ECM residue saved by @2665a3643e9a with GMP-ECM 7.0.5-dev on Sat Sep  2 09:28:50 2023 
Input number is 525431543489943543399801520100506013239233132387290773802990809136939555296112184844983521677121158347377294744957854979831598342681363018803900119401182950531334673480575318888742121282172920260357499183036142618166715192003863890011213441 (240 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1346276046
Step 1 took 0ms
Step 2 took 9217ms
********** Factor found in step 2: 1036411815121843044836409393740581841
Found prime factor of 37 digits: 1036411815121843044836409393740581841
Prime cofactor 506971780737729777799358644472381651098817009792625211367702663278350388705744986640910232432156588737086856279673311907818996214279752366013067918224290497697105643961680285618689361141073545246575047601 has 204 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 31, 2023 21:41:07 UTC 2023 年 9 月 1 日 (金) 6 時 41 分 7 秒 (日本時間)

89×10266-359

c226

composite cofactor 合成数の残り
6586098839040739976199910561006539859691674237664712392980459400313769047916302188376318377368622372306459647920783598275196121350828011615453856539476149078039229298545893615211479957822545648705221136798876816613186989776323<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 31, 2023 20:39:11 UTC 2023 年 9 月 1 日 (金) 5 時 39 分 11 秒 (日本時間)

89×10268-359

c217

composite cofactor 合成数の残り
2660696949624176316993458900037833241968167874426462887126715502084535601240402958296455774919610221168199365571098630332438283446213323855488303126823652332808433885257262670133275174418396110515217499804709858366297<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 31, 2023 20:39:19 UTC 2023 年 9 月 1 日 (金) 5 時 39 分 19 秒 (日本時間)

89×10270-359

c263

composite cofactor 合成数の残り
41502581953732133555243442149629123484658252316621080627021661006588840325505309848495780536249218938311772287345252581088123507132599926285352275279612629076206688910978055232330882533589187890976326533212223203338596396994383947553009983033394756455143138569667<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 31, 2023 21:41:17 UTC 2023 年 9 月 1 日 (金) 6 時 41 分 17 秒 (日本時間)

89×10272-359

c210

composite cofactor 合成数の残り
118741658505006789527948735029623118877353737496113371869607336424700080545481565387832490874420413150614070880770965415546535257791017210953412432936843505661290148324841154968797612487168292669148975902033593<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 31, 2023 20:39:27 UTC 2023 年 9 月 1 日 (金) 5 時 39 分 27 秒 (日本時間)

89×10274-359

c244

composite cofactor 合成数の残り
1603623241577993869576128260238393350669292805464835096615976740586797962441325758854568235697803315957370603479324161914476896362830160866494971581090416388139743641365652488099847365337480103873111543667273608066686343593070970186066817939473<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 31, 2023 21:41:27 UTC 2023 年 9 月 1 日 (金) 6 時 41 分 27 秒 (日本時間)

89×10277-359

c254

composite cofactor 合成数の残り
21658311726815605865836507352205511212486831857374765763538724196055028595034581969727750859510925122576154129595904841367516665328553273645796051516968932180029071743821886135777715159815424621043578811885224028874098346896702936622789243686081488971253<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 31, 2023 21:41:36 UTC 2023 年 9 月 1 日 (金) 6 時 41 分 36 秒 (日本時間)

89×10279-359

c268

composite cofactor 合成数の残り
1279477738172415062875341473434059442270583738460756518873871736345289614388036055941750765220815741743487737885362960745506880481209039739884803232770508463328350056002845463070558584509565713102518826251841043724327071258105177798639192874110639716510242204084925497<268>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 31, 2023 21:41:45 UTC 2023 年 9 月 1 日 (金) 6 時 41 分 45 秒 (日本時間)

89×10280-359

c270

composite cofactor 合成数の残り
241560620813535873892932923157103959321161990033148142661028530458145008512024355557585361767776053705384458460352383244153919354969286610571513774624441622991233039480926391268941427923386610318387692694281048097863362104598909068438208521364881049493524903981830563131<270>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 31, 2023 21:41:54 UTC 2023 年 9 月 1 日 (金) 6 時 41 分 54 秒 (日本時間)

89×10283-359

c201

composite cofactor 合成数の残り
340212045286238035165613359764343152523332997625525023979392380073824110881304830858790533351070434385204161684884798535923540610037572014682818148833040357550636277925649145385259122699257780385333427<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 31, 2023 20:39:35 UTC 2023 年 9 月 1 日 (金) 5 時 39 分 35 秒 (日本時間)

89×10284-359

c194

name 名前Dmitry Domanov
date 日付August 31, 2023 22:13:40 UTC 2023 年 9 月 1 日 (金) 7 時 13 分 40 秒 (日本時間)
composite number 合成数
37847133587057891434945814212285990765436241120491782876551103933914896825917045200632480090052981320061949216976695357954399738601896851395485740201941058813852086920602584682928853993644384697<194>
prime factors 素因数
222602744758783510936077981373879<33>
composite cofactor 合成数の残り
170020965500985856218223327890631957824597835722072685887489001042539872580026553432203228932663049983108742863660651571181326060542994706766622240077460274480143<162>
factorization results 素因数分解の結果
GPU: factor 222602744758783510936077981373879 found in Step 1 with curve 1077 (-sigma 3:-236231504)
Computing 1792 Step 1 took 170ms of CPU time / 175168ms of GPU time
Throughput: 10.230 curves per second (on average 97.75ms per Step 1)
********** Factor found in step 1: 222602744758783510936077981373879
Found prime factor of 33 digits: 222602744758783510936077981373879
Composite cofactor 170020965500985856218223327890631957824597835722072685887489001042539872580026553432203228932663049983108742863660651571181326060542994706766622240077460274480143 has 162 digits
Peak memory usage: 9426MB

c162

name 名前Ignacio Santos
date 日付September 3, 2023 16:07:41 UTC 2023 年 9 月 4 日 (月) 1 時 7 分 41 秒 (日本時間)
composite number 合成数
170020965500985856218223327890631957824597835722072685887489001042539872580026553432203228932663049983108742863660651571181326060542994706766622240077460274480143<162>
prime factors 素因数
951533278558326952322946359002654457<36>
composite cofactor 合成数の残り
178681050187320311491274354302984776180948517945849907989343105000983632730990046673478609427660963734508661153752070285417799<126>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3719881846
Step 1 took 4531ms
Step 2 took 1922ms
********** Factor found in step 2: 951533278558326952322946359002654457
Found prime factor of 36 digits: 951533278558326952322946359002654457
Composite cofactor 178681050187320311491274354302984776180948517945849907989343105000983632730990046673478609427660963734508661153752070285417799 has 126 digits
software ソフトウェア
GMP-ECM

c126

name 名前Bob Backstrom
date 日付September 9, 2023 19:38:07 UTC 2023 年 9 月 10 日 (日) 4 時 38 分 7 秒 (日本時間)
composite number 合成数
178681050187320311491274354302984776180948517945849907989343105000983632730990046673478609427660963734508661153752070285417799<126>
prime factors 素因数
18281022408631373010630310771757654876893667<44>
9774127846534238051929118136983510646842690820845695918648607022974223543299896397<82>
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 178681050187320311491274354302984776180948517945849907989343105000983632730990046673478609427660963734508661153752070285417799 (126 digits)
Using B1=54420000, B2=288595837546, polynomial Dickson(12), sigma=1:3731285692
Step 1 took 85084ms
Step 2 took 31358ms
********** Factor found in step 2: 18281022408631373010630310771757654876893667
Found prime factor of 44 digits: 18281022408631373010630310771757654876893667
Prime cofactor 9774127846534238051929118136983510646842690820845695918648607022974223543299896397 has 82 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 31, 2023 20:39:44 UTC 2023 年 9 月 1 日 (金) 5 時 39 分 44 秒 (日本時間)

89×10286-359

c217

composite cofactor 合成数の残り
3669902932491435415592411233525777688864761347009754916419034914107137559751605590833135856998970217953031733824947497606409930015656874395502901626181065848003420215239063835990997952208676884543484785730280174113567<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 31, 2023 20:39:53 UTC 2023 年 9 月 1 日 (金) 5 時 39 分 53 秒 (日本時間)

89×10287-359

c288

composite cofactor 合成数の残り
197777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<288>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e635841792Dmitry DomanovApril 4, 2023 12:52:35 UTC 2023 年 4 月 4 日 (火) 21 時 52 分 35 秒 (日本時間)
1792Dmitry DomanovAugust 31, 2023 21:42:04 UTC 2023 年 9 月 1 日 (金) 6 時 42 分 4 秒 (日本時間)

89×10288-359

c271

composite cofactor 合成数の残り
1222399128118419156780878670561775518042527589354166126536463473629273429329924318578318794128720199203593900689850048174329979347775660648661966224762680930314363595707309667296521058994228286199117040327566722780271002047315957527104546772890715429675478430883832332877<271>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 31, 2023 21:42:14 UTC 2023 年 9 月 1 日 (金) 6 時 42 分 14 秒 (日本時間)

89×10290-359

c289

name 名前Dmitry Domanov
date 日付April 4, 2023 23:08:55 UTC 2023 年 4 月 5 日 (水) 8 時 8 分 55 秒 (日本時間)
composite number 合成数
1750245821042281219272369714847590953785644051130776794493608652900688298918387413962635201573254670599803343166175024582104228121927236971484759095378564405113077679449360865290068829891838741396263520157325467059980334316617502458210422812192723697148475909537856440511307767944936086529<289>
prime factors 素因数
32464850727928376030612471877565310411<38>
53912024290831127472473616113895523491815061796059780840718046332811359974405335946574540044962522653498073626920651186904785084090175464273135954168657192443567063668188056965453382767812430214389837714962267281108640909845175901181892854272188525539<251>
factorization results 素因数分解の結果
Resuming ECM residue saved by @16d064e11eba with GMP-ECM 7.0.5-dev on Tue Apr  4 13:10:22 2023 
Input number is 1750245821042281219272369714847590953785644051130776794493608652900688298918387413962635201573254670599803343166175024582104228121927236971484759095378564405113077679449360865290068829891838741396263520157325467059980334316617502458210422812192723697148475909537856440511307767944936086529 (289 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:620464274
Step 1 took 1ms
Step 2 took 7897ms
********** Factor found in step 2: 32464850727928376030612471877565310411
Found prime factor of 38 digits: 32464850727928376030612471877565310411
Prime cofactor 53912024290831127472473616113895523491815061796059780840718046332811359974405335946574540044962522653498073626920651186904785084090175464273135954168657192443567063668188056965453382767812430214389837714962267281108640909845175901181892854272188525539 has 251 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovApril 4, 2023 12:52:47 UTC 2023 年 4 月 4 日 (火) 21 時 52 分 47 秒 (日本時間)

89×10291-359

c260

composite cofactor 合成数の残り
46043783165941721349988509006018701287982323343461720032930583595278676318816662037884410055720242581995534465059241240434570750801846524303275547187828353047901326700550050953168893602959952816095954215479980652753936854689294657341943483509535069361351208023<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 31, 2023 21:42:29 UTC 2023 年 9 月 1 日 (金) 6 時 42 分 29 秒 (日本時間)

89×10292-359

c221

name 名前Dmitry Domanov
date 日付April 4, 2023 22:20:58 UTC 2023 年 4 月 5 日 (水) 7 時 20 分 58 秒 (日本時間)
composite number 合成数
10040128752343668344939907660217124325424174337547823334099630070154697783672231941223748068604809718051616189789409874584519583536352630760661000833543074590041315455225843797974484582946282609925352083047587102518132303<221>
prime factors 素因数
196903623346935194788210270667960657<36>
composite cofactor 合成数の残り
50990066011397971387310900386697261854645137497853805843149182107345609629747621856752580574307268975863848451089206953451018430315198523991599731987533136813482987058756313518550437279<185>
factorization results 素因数分解の結果
Resuming ECM residue saved by @16d064e11eba with GMP-ECM 7.0.5-dev on Tue Apr  4 13:13:18 2023 
Input number is 10040128752343668344939907660217124325424174337547823334099630070154697783672231941223748068604809718051616189789409874584519583536352630760661000833543074590041315455225843797974484582946282609925352083047587102518132303 (221 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1497862811
Step 1 took 0ms
Step 2 took 5754ms
********** Factor found in step 2: 196903623346935194788210270667960657
Found prime factor of 36 digits: 196903623346935194788210270667960657
Composite cofactor 50990066011397971387310900386697261854645137497853805843149182107345609629747621856752580574307268975863848451089206953451018430315198523991599731987533136813482987058756313518550437279 has 185 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e625991792Dmitry DomanovApril 4, 2023 12:52:55 UTC 2023 年 4 月 4 日 (火) 21 時 52 分 55 秒 (日本時間)
807cccJuly 21, 2023 05:06:56 UTC 2023 年 7 月 21 日 (金) 14 時 6 分 56 秒 (日本時間)
4511e64480Ignacio SantosJuly 23, 2023 09:05:34 UTC 2023 年 7 月 23 日 (日) 18 時 5 分 34 秒 (日本時間)
5043e61792 / 6444Dmitry DomanovApril 16, 2024 05:42:02 UTC 2024 年 4 月 16 日 (火) 14 時 42 分 2 秒 (日本時間)

89×10294-359

c264

name 名前Dmitry Domanov
date 日付September 1, 2023 21:16:13 UTC 2023 年 9 月 2 日 (土) 6 時 16 分 13 秒 (日本時間)
composite number 合成数
247287240432833163456976291352087589117669480447797309754536257823115356338009929280385653037272733728373015125145797927540460210057460039814153250962817506181552735279639868258750321777398642237414444637770971963165052092926368917300185807161062820378557156688813<264>
prime factors 素因数
15270321195236325222144496652849026222073783<44>
composite cofactor 合成数の残り
16193977668916093685805845778278436053428131150797650661905165416128341584708458832263509409621792822060835250690982965264112497929263019224242736184295642265935317492355677431983054583753040611818291251931765063762708411<221>
factorization results 素因数分解の結果
Resuming ECM residue saved by @98ee51f6288e with GMP-ECM 7.0.5-dev on Fri Sep  1 08:27:56 2023 
Input number is 247287240432833163456976291352087589117669480447797309754536257823115356338009929280385653037272733728373015125145797927540460210057460039814153250962817506181552735279639868258750321777398642237414444637770971963165052092926368917300185807161062820378557156688813 (264 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2461033297
Step 1 took 0ms
Step 2 took 6293ms
********** Factor found in step 2: 15270321195236325222144496652849026222073783
Found prime factor of 44 digits: 15270321195236325222144496652849026222073783
Composite cofactor 16193977668916093685805845778278436053428131150797650661905165416128341584708458832263509409621792822060835250690982965264112497929263019224242736184295642265935317492355677431983054583753040611818291251931765063762708411 has 221 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 31, 2023 21:42:54 UTC 2023 年 9 月 1 日 (金) 6 時 42 分 54 秒 (日本時間)

89×10295-359

c236

name 名前Dmitry Domanov
date 日付September 2, 2023 11:03:51 UTC 2023 年 9 月 2 日 (土) 20 時 3 分 51 秒 (日本時間)
composite number 合成数
98931867567973860224568646215200762000090282460878718206973613087347414836770539766833172721813098777348008908721893740531539749786261559206909112915384350135095467684951969528975566342595938402280171655736128499018639034636305839713461<236>
prime factors 素因数
23295813133812278504072006086165609<35>
4246766017554503169386564105494405769041840946365079145931819162959834666159091976738297849896041371827961723290085554613783714233126013528657558444724953422981523116541669671420952692566600390070021229<202>
factorization results 素因数分解の結果
GPU: factor 23295813133812278504072006086165609 found in Step 1 with curve 1581 (-sigma 3:-1368002471)
Computing 1792 Step 1 took 299ms of CPU time / 267815ms of GPU time
Throughput: 6.691 curves per second (on average 149.45ms per Step 1)
********** Factor found in step 1: 23295813133812278504072006086165609
Found prime factor of 35 digits: 23295813133812278504072006086165609
Prime cofactor 4246766017554503169386564105494405769041840946365079145931819162959834666159091976738297849896041371827961723290085554613783714233126013528657558444724953422981523116541669671420952692566600390070021229 has 202 digits
Peak memory usage: 9426MB

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 31, 2023 21:43:35 UTC 2023 年 9 月 1 日 (金) 6 時 43 分 35 秒 (日本時間)

89×10296-359

c272

composite cofactor 合成数の残り
32725311421724570381416786615531989015439274133858023787493539166963472705470722872703167672964684303365195979136461888454936551987311356703398141184293577047785886537701529565629446259836743110028566405929647710791525422650861898638149796310657495234965956273449095964563<272>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 31, 2023 21:43:08 UTC 2023 年 9 月 1 日 (金) 6 時 43 分 8 秒 (日本時間)

89×10298-359

c261

composite cofactor 合成数の残り
914416142277515768735232783755592885409981824654374769047808100935911427526925110026027980360182799371884484730507968625829205726477734572479570177498536610735786385853515054461885438752181900177118077202141328400653897400882365365117964860753199504592485324797<261>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 31, 2023 21:43:18 UTC 2023 年 9 月 1 日 (金) 6 時 43 分 18 秒 (日本時間)

89×10299-359

c281

composite cofactor 合成数の残り
23412421458245171288092564620904584570633488688500650495223617262653978646935271570234446061762342989920225592741924252490617158313312112164433413588140182976598595083897924093697632960801183529338302867101801582046433238118029891307734166890154627169110670350681292396807560258817<281>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMarch 30, 2023 16:55:49 UTC 2023 年 3 月 31 日 (金) 1 時 55 分 49 秒 (日本時間)

89×10300-359

c269

composite cofactor 合成数の残り
46601692811597335816517178967803521150629270244659314858701074579693644108973607954465230944570454735207387684019754992297738383457628718529564766953885606787868747214674388680945123098069311324133031384766289195563985199481757060725851420208440893416322352420224872191<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovFebruary 23, 2023 09:01:46 UTC 2023 年 2 月 23 日 (木) 18 時 1 分 46 秒 (日本時間)
4511e63584Dmitry DomanovFebruary 23, 2023 09:01:46 UTC 2023 年 2 月 23 日 (木) 18 時 1 分 46 秒 (日本時間)
5043e6130 / 6675Dmitry DomanovFebruary 23, 2023 09:01:46 UTC 2023 年 2 月 23 日 (木) 18 時 1 分 46 秒 (日本時間)