Table of contents 目次

89×10114-629

c102

name 名前Dmitry Domanov
date 日付February 20, 2023 22:43:11 UTC 2023 年 2 月 21 日 (火) 7 時 43 分 11 秒 (日本時間)
composite number 合成数
544680516587239856759403582699216652385445738039866342687178164696574332209752475551283108237784125693<102>
prime factors 素因数
683042290359499239797321311322969361714152493224923<51>
797433078851623185912848332314098927958939299049991<51>
factorization results 素因数分解の結果
N=544680516587239856759403582699216652385445738039866342687178164696574332209752475551283108237784125693
  ( 102 digits)
SNFS difficulty: 115 digits.
Divisors found:
 r1=683042290359499239797321311322969361714152493224923 (pp51)
 r2=797433078851623185912848332314098927958939299049991 (pp51)
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: 544680516587239856759403582699216652385445738039866342687178164696574332209752475551283108237784125693
m: 10000000000000000000000000000
deg: 4
c4: 4450
c0: -31
skew: 0.29
# Murphy_E = 4.414e-08
type: snfs
lss: 1
rlim: 590000
alim: 590000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 590000/590000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [295000, 835001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 80185 x 80411
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,115.000,4,0,0,0,0,0,0,0,0,590000,590000,25,25,45,45,2.2,2.2,20000
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)

89×10139-629

c122

name 名前Bob Backstrom
date 日付February 24, 2023 14:47:30 UTC 2023 年 2 月 24 日 (金) 23 時 47 分 30 秒 (日本時間)
composite number 合成数
38508922720429422957295530314116476763927252756818938150546817818747861277033235845488792792643026094327987957527164635601<122>
prime factors 素因数
118811140333184116579772610325202840076671<42>
324118787282389438816135990415343528698576867491402993393012662656841148870982831<81>
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 38508922720429422957295530314116476763927252756818938150546817818747861277033235845488792792643026094327987957527164635601 (122 digits)
Using B1=36900000, B2=192390318136, polynomial Dickson(12), sigma=1:4125851814
Step 1 took 62842ms
Step 2 took 26622ms
********** Factor found in step 2: 118811140333184116579772610325202840076671
Found prime factor of 42 digits: 118811140333184116579772610325202840076671
Prime cofactor 324118787282389438816135990415343528698576867491402993393012662656841148870982831 has 81 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)

89×10140-629

c109

name 名前Lionel Debroux
date 日付March 8, 2023 14:55:39 UTC 2023 年 3 月 8 日 (水) 23 時 55 分 39 秒 (日本時間)
composite number 合成数
6535911958951143577518923418111964093085239312307952662905542445306816963184524403178033157573001258516623103<109>
prime factors 素因数
3641667422744538530748473235815293996607<40>
1794758060038706370493138585465429429740725555632553426462777420574529<70>
factorization results 素因数分解の結果
3641667422744538530748473235815293996607 1794758060038706370493138585465429429740725555632553426462777420574529
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)

89×10146-629

c106

name 名前Bob Backstrom
date 日付March 8, 2023 14:07:18 UTC 2023 年 3 月 8 日 (水) 23 時 7 分 18 秒 (日本時間)
composite number 合成数
1717022689663600902860010591624497593746563737189819038907978788953506551409425015815280419369328200354723<106>
prime factors 素因数
74022150844413830111948229701536607830037547731<47>
23196065908333141440436885411939661184956633435005499611633<59>
factorization results 素因数分解の結果
Number: n
N=1717022689663600902860010591624497593746563737189819038907978788953506551409425015815280419369328200354723  ( 106 digits)
Divisors found:

Thu Mar  9 01:03:43 2023  prp47 factor: 74022150844413830111948229701536607830037547731
Thu Mar  9 01:03:43 2023  prp59 factor: 23196065908333141440436885411939661184956633435005499611633
Thu Mar  9 01:03:43 2023  elapsed time 00:05:11 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.089).
Factorization parameters were as follows:
#
# N = 89x10^146-62 = 98(145)2
#
# n: 1717022689663600902860010591624497593746563737189819038907978788953506551409425015815280419369328200354723 - 106 digits
#

n: 1717022689663600902860010591624497593746563737189819038907978788953506551409425015815280419369328200354723

Y0: -20532869757564417724053999
Y1: 6932727025087
c0: -11499266690659181981886115084
c1: -45290990238514215485016
c2: -195267912817741841
c3: 19649170236
c4: 9660

# skew 2816876.34, size 1.632e-14, alpha -5.802, combined = 5.451e-09 rroots = 2

skew: 2816876.34

type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 12350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 803056 hash collisions in 10132725 relations (9780185 unique)
Msieve: matrix is 372956 x 373195 (51.9 MB)

Sieving start time: 2023/03/09 00:28:44
Sieving end time  : 2023/03/09 00:58:21

Total sieving time: 0hrs 29min 37secs.

Total relation processing time: 0hrs 2min 43sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 13sec.

Prototype def-par.txt line would be:
gnfs,105,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,150000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

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

89×10147-629

c104

name 名前Ignacio Santos
date 日付February 21, 2023 10:33:49 UTC 2023 年 2 月 21 日 (火) 19 時 33 分 49 秒 (日本時間)
composite number 合成数
10127559090439131133281481779863709460876575806574664945174318239881617462791741211113000603325751980007<104>
prime factors 素因数
134092534924695885148402822053701253089166429121531<51>
75526643568388040206048890628936415122229131096046597<53>
factorization results 素因数分解の結果
-> makeJobFile(): Adjusted to q0=1150000, q1=1250000.
->               client 1 q0: 1150000
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-> makeJobFile(): Adjusted to q0=1250001, q1=1350000.
->               client 1 q0: 1250001
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-> makeJobFile(): Adjusted to q0=1350001, q1=1450000.
->               client 1 q0: 1350001
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-> makeJobFile(): Adjusted to q0=1450001, q1=1550000.
->               client 1 q0: 1450001
      LatSieveTime: 39
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-> makeJobFile(): Adjusted to q0=1550001, q1=1650000.
->               client 1 q0: 1550001
      LatSieveTime: 41
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-> makeJobFile(): Adjusted to q0=1650001, q1=1750000.
->               client 1 q0: 1650001
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-> makeJobFile(): Adjusted to q0=1750001, q1=1850000.
->               client 1 q0: 1750001
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Tue Feb 21 11:29:41 2023  
Tue Feb 21 11:29:41 2023  
Tue Feb 21 11:29:41 2023  Msieve v. 1.52 (SVN 927)
Tue Feb 21 11:29:41 2023  random seeds: 930c72e0 759173cb
Tue Feb 21 11:29:41 2023  factoring 10127559090439131133281481779863709460876575806574664945174318239881617462791741211113000603325751980007 (104 digits)
Tue Feb 21 11:29:41 2023  searching for 15-digit factors
Tue Feb 21 11:29:41 2023  commencing number field sieve (104-digit input)
Tue Feb 21 11:29:41 2023  R0: -67778915646738402069
Tue Feb 21 11:29:41 2023  R1: 106841839951
Tue Feb 21 11:29:41 2023  A0: 238824663784348476910400
Tue Feb 21 11:29:41 2023  A1: 1755358358725167435830
Tue Feb 21 11:29:41 2023  A2: 7394201678680320
Tue Feb 21 11:29:41 2023  A3: -5390030000144
Tue Feb 21 11:29:41 2023  A4: -16069217
Tue Feb 21 11:29:41 2023  A5: 7080
Tue Feb 21 11:29:41 2023  skew 19865.24, size 6.083e-010, alpha -5.747, combined = 2.029e-009 rroots = 1
Tue Feb 21 11:29:41 2023  
Tue Feb 21 11:29:41 2023  commencing relation filtering
Tue Feb 21 11:29:41 2023  estimated available RAM is 65413.5 MB
Tue Feb 21 11:29:41 2023  commencing duplicate removal, pass 1
Tue Feb 21 11:29:49 2023  found 386041 hash collisions in 4497616 relations
Tue Feb 21 11:29:54 2023  added 31440 free relations
Tue Feb 21 11:29:54 2023  commencing duplicate removal, pass 2
Tue Feb 21 11:29:55 2023  found 280278 duplicates and 4248778 unique relations
Tue Feb 21 11:29:55 2023  memory use: 16.3 MB
Tue Feb 21 11:29:55 2023  reading ideals above 100000
Tue Feb 21 11:29:55 2023  commencing singleton removal, initial pass
Tue Feb 21 11:30:08 2023  memory use: 94.1 MB
Tue Feb 21 11:30:08 2023  reading all ideals from disk
Tue Feb 21 11:30:08 2023  memory use: 134.1 MB
Tue Feb 21 11:30:08 2023  keeping 4657903 ideals with weight <= 200, target excess is 23179
Tue Feb 21 11:30:09 2023  commencing in-memory singleton removal
Tue Feb 21 11:30:09 2023  begin with 4248778 relations and 4657903 unique ideals
Tue Feb 21 11:30:10 2023  reduce to 1476640 relations and 1382576 ideals in 17 passes
Tue Feb 21 11:30:10 2023  max relations containing the same ideal: 97
Tue Feb 21 11:30:10 2023  removing 254606 relations and 221018 ideals in 33588 cliques
Tue Feb 21 11:30:10 2023  commencing in-memory singleton removal
Tue Feb 21 11:30:10 2023  begin with 1222034 relations and 1382576 unique ideals
Tue Feb 21 11:30:10 2023  reduce to 1185939 relations and 1124331 ideals in 10 passes
Tue Feb 21 11:30:10 2023  max relations containing the same ideal: 82
Tue Feb 21 11:30:10 2023  removing 193157 relations and 159569 ideals in 33588 cliques
Tue Feb 21 11:30:10 2023  commencing in-memory singleton removal
Tue Feb 21 11:30:10 2023  begin with 992782 relations and 1124331 unique ideals
Tue Feb 21 11:30:10 2023  reduce to 966582 relations and 937841 ideals in 8 passes
Tue Feb 21 11:30:10 2023  max relations containing the same ideal: 76
Tue Feb 21 11:30:11 2023  relations with 0 large ideals: 84
Tue Feb 21 11:30:11 2023  relations with 1 large ideals: 193
Tue Feb 21 11:30:11 2023  relations with 2 large ideals: 3993
Tue Feb 21 11:30:11 2023  relations with 3 large ideals: 29316
Tue Feb 21 11:30:11 2023  relations with 4 large ideals: 113803
Tue Feb 21 11:30:11 2023  relations with 5 large ideals: 241210
Tue Feb 21 11:30:11 2023  relations with 6 large ideals: 290113
Tue Feb 21 11:30:11 2023  relations with 7+ large ideals: 287870
Tue Feb 21 11:30:11 2023  commencing 2-way merge
Tue Feb 21 11:30:11 2023  reduce to 549432 relation sets and 520691 unique ideals
Tue Feb 21 11:30:11 2023  commencing full merge
Tue Feb 21 11:30:16 2023  memory use: 62.2 MB
Tue Feb 21 11:30:16 2023  found 265209 cycles, need 260891
Tue Feb 21 11:30:16 2023  weight of 260891 cycles is about 18530497 (71.03/cycle)
Tue Feb 21 11:30:16 2023  distribution of cycle lengths:
Tue Feb 21 11:30:16 2023  1 relations: 28280
Tue Feb 21 11:30:16 2023  2 relations: 26702
Tue Feb 21 11:30:16 2023  3 relations: 26236
Tue Feb 21 11:30:16 2023  4 relations: 24628
Tue Feb 21 11:30:16 2023  5 relations: 22419
Tue Feb 21 11:30:16 2023  6 relations: 20338
Tue Feb 21 11:30:16 2023  7 relations: 18179
Tue Feb 21 11:30:16 2023  8 relations: 15852
Tue Feb 21 11:30:16 2023  9 relations: 14156
Tue Feb 21 11:30:16 2023  10+ relations: 64101
Tue Feb 21 11:30:16 2023  heaviest cycle: 23 relations
Tue Feb 21 11:30:16 2023  commencing cycle optimization
Tue Feb 21 11:30:17 2023  start with 1725621 relations
Tue Feb 21 11:30:19 2023  pruned 40494 relations
Tue Feb 21 11:30:19 2023  memory use: 56.0 MB
Tue Feb 21 11:30:19 2023  distribution of cycle lengths:
Tue Feb 21 11:30:19 2023  1 relations: 28280
Tue Feb 21 11:30:19 2023  2 relations: 27227
Tue Feb 21 11:30:19 2023  3 relations: 27067
Tue Feb 21 11:30:19 2023  4 relations: 25173
Tue Feb 21 11:30:19 2023  5 relations: 22898
Tue Feb 21 11:30:19 2023  6 relations: 20703
Tue Feb 21 11:30:19 2023  7 relations: 18500
Tue Feb 21 11:30:19 2023  8 relations: 16065
Tue Feb 21 11:30:19 2023  9 relations: 14153
Tue Feb 21 11:30:19 2023  10+ relations: 60825
Tue Feb 21 11:30:19 2023  heaviest cycle: 23 relations
Tue Feb 21 11:30:19 2023  RelProcTime: 38
Tue Feb 21 11:30:19 2023  elapsed time 00:00:38
Tue Feb 21 11:30:19 2023  
Tue Feb 21 11:30:19 2023  
Tue Feb 21 11:30:19 2023  Msieve v. 1.52 (SVN 927)
Tue Feb 21 11:30:19 2023  random seeds: 5876a200 ada8dd7d
Tue Feb 21 11:30:19 2023  factoring 10127559090439131133281481779863709460876575806574664945174318239881617462791741211113000603325751980007 (104 digits)
Tue Feb 21 11:30:19 2023  searching for 15-digit factors
Tue Feb 21 11:30:19 2023  commencing number field sieve (104-digit input)
Tue Feb 21 11:30:19 2023  R0: -67778915646738402069
Tue Feb 21 11:30:19 2023  R1: 106841839951
Tue Feb 21 11:30:19 2023  A0: 238824663784348476910400
Tue Feb 21 11:30:19 2023  A1: 1755358358725167435830
Tue Feb 21 11:30:19 2023  A2: 7394201678680320
Tue Feb 21 11:30:19 2023  A3: -5390030000144
Tue Feb 21 11:30:19 2023  A4: -16069217
Tue Feb 21 11:30:19 2023  A5: 7080
Tue Feb 21 11:30:19 2023  skew 19865.24, size 6.083e-010, alpha -5.747, combined = 2.029e-009 rroots = 1
Tue Feb 21 11:30:19 2023  
Tue Feb 21 11:30:19 2023  commencing linear algebra
Tue Feb 21 11:30:19 2023  read 260891 cycles
Tue Feb 21 11:30:20 2023  cycles contain 927358 unique relations
Tue Feb 21 11:30:22 2023  read 927358 relations
Tue Feb 21 11:30:22 2023  using 20 quadratic characters above 67106762
Tue Feb 21 11:30:24 2023  building initial matrix
Tue Feb 21 11:30:29 2023  memory use: 115.2 MB
Tue Feb 21 11:30:29 2023  read 260891 cycles
Tue Feb 21 11:30:29 2023  matrix is 260712 x 260891 (79.5 MB) with weight 25698735 (98.50/col)
Tue Feb 21 11:30:29 2023  sparse part has weight 17702455 (67.85/col)
Tue Feb 21 11:30:30 2023  filtering completed in 2 passes
Tue Feb 21 11:30:30 2023  matrix is 260320 x 260499 (79.4 MB) with weight 25678761 (98.58/col)
Tue Feb 21 11:30:30 2023  sparse part has weight 17695580 (67.93/col)
Tue Feb 21 11:30:30 2023  matrix starts at (0, 0)
Tue Feb 21 11:30:31 2023  matrix is 260320 x 260499 (79.4 MB) with weight 25678761 (98.58/col)
Tue Feb 21 11:30:31 2023  sparse part has weight 17695580 (67.93/col)
Tue Feb 21 11:30:31 2023  saving the first 48 matrix rows for later
Tue Feb 21 11:30:31 2023  matrix includes 64 packed rows
Tue Feb 21 11:30:31 2023  matrix is 260272 x 260499 (76.8 MB) with weight 20428411 (78.42/col)
Tue Feb 21 11:30:31 2023  sparse part has weight 17519544 (67.25/col)
Tue Feb 21 11:30:31 2023  using block size 8192 and superblock size 12582912 for processor cache size 131072 kB
Tue Feb 21 11:30:32 2023  commencing Lanczos iteration (32 threads)
Tue Feb 21 11:30:32 2023  memory use: 58.7 MB
Tue Feb 21 11:30:36 2023  linear algebra at 4.7%, ETA 0h 1m
Tue Feb 21 11:32:08 2023  lanczos halted after 4119 iterations (dim = 260272)
Tue Feb 21 11:32:08 2023  recovered 33 nontrivial dependencies
Tue Feb 21 11:32:08 2023  BLanczosTime: 109
Tue Feb 21 11:32:08 2023  elapsed time 00:01:49
Tue Feb 21 11:32:08 2023  
Tue Feb 21 11:32:08 2023  
Tue Feb 21 11:32:08 2023  Msieve v. 1.52 (SVN 927)
Tue Feb 21 11:32:08 2023  random seeds: 71e5680c 7c8f6a67
Tue Feb 21 11:32:08 2023  factoring 10127559090439131133281481779863709460876575806574664945174318239881617462791741211113000603325751980007 (104 digits)
Tue Feb 21 11:32:08 2023  searching for 15-digit factors
Tue Feb 21 11:32:08 2023  commencing number field sieve (104-digit input)
Tue Feb 21 11:32:08 2023  R0: -67778915646738402069
Tue Feb 21 11:32:08 2023  R1: 106841839951
Tue Feb 21 11:32:08 2023  A0: 238824663784348476910400
Tue Feb 21 11:32:08 2023  A1: 1755358358725167435830
Tue Feb 21 11:32:08 2023  A2: 7394201678680320
Tue Feb 21 11:32:08 2023  A3: -5390030000144
Tue Feb 21 11:32:08 2023  A4: -16069217
Tue Feb 21 11:32:08 2023  A5: 7080
Tue Feb 21 11:32:08 2023  skew 19865.24, size 6.083e-010, alpha -5.747, combined = 2.029e-009 rroots = 1
Tue Feb 21 11:32:08 2023  
Tue Feb 21 11:32:09 2023  commencing square root phase
Tue Feb 21 11:32:09 2023  reading relations for dependency 1
Tue Feb 21 11:32:09 2023  read 130278 cycles
Tue Feb 21 11:32:09 2023  cycles contain 462572 unique relations
Tue Feb 21 11:32:10 2023  read 462572 relations
Tue Feb 21 11:32:11 2023  multiplying 462572 relations
Tue Feb 21 11:32:19 2023  multiply complete, coefficients have about 18.38 million bits
Tue Feb 21 11:32:19 2023  initial square root is modulo 190301
Tue Feb 21 11:32:29 2023  GCD is N, no factor found
Tue Feb 21 11:32:29 2023  reading relations for dependency 2
Tue Feb 21 11:32:29 2023  read 130263 cycles
Tue Feb 21 11:32:29 2023  cycles contain 464456 unique relations
Tue Feb 21 11:32:30 2023  read 464456 relations
Tue Feb 21 11:32:31 2023  multiplying 464456 relations
Tue Feb 21 11:32:39 2023  multiply complete, coefficients have about 18.45 million bits
Tue Feb 21 11:32:39 2023  initial square root is modulo 199753
Tue Feb 21 11:32:49 2023  GCD is N, no factor found
Tue Feb 21 11:32:49 2023  reading relations for dependency 3
Tue Feb 21 11:32:49 2023  read 130219 cycles
Tue Feb 21 11:32:49 2023  cycles contain 464004 unique relations
Tue Feb 21 11:32:50 2023  read 464004 relations
Tue Feb 21 11:32:51 2023  multiplying 464004 relations
Tue Feb 21 11:32:59 2023  multiply complete, coefficients have about 18.44 million bits
Tue Feb 21 11:32:59 2023  initial square root is modulo 197567
Tue Feb 21 11:33:09 2023  GCD is 1, no factor found
Tue Feb 21 11:33:09 2023  reading relations for dependency 4
Tue Feb 21 11:33:09 2023  read 130041 cycles
Tue Feb 21 11:33:09 2023  cycles contain 462304 unique relations
Tue Feb 21 11:33:11 2023  read 462304 relations
Tue Feb 21 11:33:11 2023  multiplying 462304 relations
Tue Feb 21 11:33:19 2023  multiply complete, coefficients have about 18.37 million bits
Tue Feb 21 11:33:20 2023  initial square root is modulo 188719
Tue Feb 21 11:33:29 2023  sqrtTime: 80
Tue Feb 21 11:33:29 2023  prp51 factor: 134092534924695885148402822053701253089166429121531
Tue Feb 21 11:33:29 2023  prp53 factor: 75526643568388040206048890628936415122229131096046597
Tue Feb 21 11:33:29 2023  elapsed time 00:01:21
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)

89×10148-629

c148

name 名前Bob Backstrom
date 日付February 24, 2023 21:20:22 UTC 2023 年 2 月 25 日 (土) 6 時 20 分 22 秒 (日本時間)
composite number 合成数
7063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063<148>
prime factors 素因数
27719656348285067822165547122987784458802247648374240871565955011050129<71>
254818890059185766426215075522887318735517632607013501095447319447477467784047<78>
factorization results 素因数分解の結果
Number: n
N=7063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063  ( 148 digits)
SNFS difficulty: 149 digits.
Divisors found:

Sat Feb 25 08:15:03 2023  prp71 factor: 27719656348285067822165547122987784458802247648374240871565955011050129
Sat Feb 25 08:15:03 2023  prp78 factor: 254818890059185766426215075522887318735517632607013501095447319447477467784047
Sat Feb 25 08:15:03 2023  elapsed time 00:06:31 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.010).
Factorization parameters were as follows:
#
# N = 89x10^148-62 = 98(147)2
#
n: 7063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063
m: 10000000000000000000000000000000000000
deg: 4
c4: 89
c0: -62
skew: 0.91
# Murphy_E = 1.042e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 12300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 526556 hash collisions in 6112179 relations (6259106 unique)
Msieve: matrix is 436525 x 436751 (121.8 MB)

Sieving start time: 2023/02/25 06:47:19
Sieving end time  : 2023/02/25 08:08:23

Total sieving time: 1hrs 21min 4secs.

Total relation processing time: 0hrs 4min 57sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 16sec.

Prototype def-par.txt line would be:
snfs,149,4,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000
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)

89×10149-629

c150

name 名前Bob Backstrom
date 日付February 26, 2023 07:09:32 UTC 2023 年 2 月 26 日 (日) 16 時 9 分 32 秒 (日本時間)
composite number 合成数
494444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441<150>
prime factors 素因数
20122742578845420439047499136915870914613<41>
24571424223467560187630908139372122464640717614567371416613602121883559688153736401076193327844628743263385557<110>
factorization results 素因数分解の結果
Number: n
N=494444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441  ( 150 digits)
SNFS difficulty: 150 digits.
Divisors found:

Sun Feb 26 18:05:53 2023  prp41 factor: 20122742578845420439047499136915870914613
Sun Feb 26 18:05:53 2023  prp110 factor: 24571424223467560187630908139372122464640717614567371416613602121883559688153736401076193327844628743263385557
Sun Feb 26 18:05:53 2023  elapsed time 00:08:06 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.100).
Factorization parameters were as follows:
#
# N = 89x10^149-62 = 98(148)2
#
n: 494444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441
m: 10000000000000000000000000000000000000
deg: 4
c4: 445
c0: -31
skew: 0.51
# Murphy_E = 1.086e-09
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved  special-q in [100000, 19550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1189955 hash collisions in 13336966 relations (13513754 unique)
Msieve: matrix is 433447 x 433695 (113.1 MB)

Sieving start time: 2023/02/26 15:53:13
Sieving end time  : 2023/02/26 17:57:36

Total sieving time: 2hrs 4min 23secs.

Total relation processing time: 0hrs 4min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 20sec.

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

ECM

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

89×10150-629

c108

name 名前Lionel Debroux
date 日付March 8, 2023 11:44:56 UTC 2023 年 3 月 8 日 (水) 20 時 44 分 56 秒 (日本時間)
composite number 合成数
145114553154109555070978872756631197888443941480344748267537294955366657713037609500448765175655165433840553<108>
prime factors 素因数
49450742108168229203220419751725986741<38>
2934527308744668230369041290200533422198097800558227406892894921044133<70>
factorization results 素因数分解の結果
49450742108168229203220419751725986741 2934527308744668230369041290200533422198097800558227406892894921044133
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)

89×10153-629

c109

name 名前Lionel Debroux
date 日付March 8, 2023 09:54:17 UTC 2023 年 3 月 8 日 (水) 18 時 54 分 17 秒 (日本時間)
composite number 合成数
4754134636747867526056275216268841411654433346220309194447353679998330750176774900458102612548759057545780297<109>
prime factors 素因数
89202943170220625652009980639346225157<38>
53295715004333854472126000273653280627356444243023371744721772434236021<71>
factorization results 素因数分解の結果
89202943170220625652009980639346225157 53295715004333854472126000273653280627356444243023371744721772434236021
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)

89×10154-629

c139

name 名前Bob Backstrom
date 日付March 2, 2023 01:23:17 UTC 2023 年 3 月 2 日 (木) 10 時 23 分 17 秒 (日本時間)
composite number 合成数
4335313320908093254099991388206465427786831946635797921079575800124847976425994450619086140733362309289115878462617187966442987244657368231<139>
prime factors 素因数
15069664374108600731256673830782187446899576225550315805403<59>
287684795977052758407070310030294841711756193390234927255534865030056308504797477<81>
factorization results 素因数分解の結果
Number: n
N=4335313320908093254099991388206465427786831946635797921079575800124847976425994450619086140733362309289115878462617187966442987244657368231  ( 139 digits)
SNFS difficulty: 156 digits.
Divisors found:

Thu Mar  2 12:16:38 2023  prp59 factor: 15069664374108600731256673830782187446899576225550315805403
Thu Mar  2 12:16:38 2023  prp81 factor: 287684795977052758407070310030294841711756193390234927255534865030056308504797477
Thu Mar  2 12:16:38 2023  elapsed time 00:10:41 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.096).
Factorization parameters were as follows:
#
# N = 89x10^154-62 = 98(153)2
#
n: 4335313320908093254099991388206465427786831946635797921079575800124847976425994450619086140733362309289115878462617187966442987244657368231
m: 5000000000000000000000000000000
deg: 5
c5: 712
c0: -155
skew: 0.74
# Murphy_E = 5.659e-10
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 19800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 911637 hash collisions in 11597316 relations (11436807 unique)
Msieve: matrix is 528057 x 528283 (147.0 MB)

Sieving start time: 2023/03/02 09:46:32
Sieving end time  : 2023/03/02 12:05:42

Total sieving time: 2hrs 19min 10secs.

Total relation processing time: 0hrs 7min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 4sec.

Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

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

89×10155-629

c142

name 名前Bob Backstrom
date 日付March 4, 2023 11:36:39 UTC 2023 年 3 月 4 日 (土) 20 時 36 分 39 秒 (日本時間)
composite number 合成数
1708710502201423578680526762477327240385251582837415863111695051934560606652952063762946472102875392890665431770196241853675651367909683406673<142>
prime factors 素因数
181280446005703149529982662155579515413784630627<48>
9425784963854661509351104561466086931685664678587429393026485149875554309270708205787309299899<94>
factorization results 素因数分解の結果
Number: n
N=1708710502201423578680526762477327240385251582837415863111695051934560606652952063762946472102875392890665431770196241853675651367909683406673  ( 142 digits)
SNFS difficulty: 156 digits.
Divisors found:

Sat Mar  4 22:31:57 2023  prp48 factor: 181280446005703149529982662155579515413784630627
Sat Mar  4 22:31:57 2023  prp94 factor: 9425784963854661509351104561466086931685664678587429393026485149875554309270708205787309299899
Sat Mar  4 22:31:57 2023  elapsed time 00:09:23 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.076).
Factorization parameters were as follows:
#
# N = 89x10^155-62 = 98(154)2
#
n: 1708710502201423578680526762477327240385251582837415863111695051934560606652952063762946472102875392890665431770196241853675651367909683406673
m: 10000000000000000000000000000000
deg: 5
c5: 89
c0: -62
skew: 0.93
# Murphy_E = 7.225e-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 951117 hash collisions in 12521846 relations (12402283 unique)
Msieve: matrix is 467766 x 467995 (130.0 MB)

Sieving start time: 2023/03/04 20:25:08
Sieving end time  : 2023/03/04 22:22:16

Total sieving time: 1hrs 57min 8secs.

Total relation processing time: 0hrs 5min 44sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 17sec.

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)

89×10157-629

c139

name 名前Bob Backstrom
date 日付March 4, 2023 15:42:01 UTC 2023 年 3 月 5 日 (日) 0 時 42 分 1 秒 (日本時間)
composite number 合成数
2906405260992832705674003137771225118371603574719269779843916833277884519414388518792167077393550665591039918477608762080931710029195210051<139>
prime factors 素因数
1153034697246396191047718221892238202533457603339<49>
2520657242955241582008515002082281044935610317224955304358113207549303093761056254590020009<91>
factorization results 素因数分解の結果
Number: n
N=2906405260992832705674003137771225118371603574719269779843916833277884519414388518792167077393550665591039918477608762080931710029195210051  ( 139 digits)
SNFS difficulty: 158 digits.
Divisors found:

Sun Mar  5 01:22:39 2023  prp49 factor: 1153034697246396191047718221892238202533457603339
Sun Mar  5 01:22:39 2023  prp91 factor: 2520657242955241582008515002082281044935610317224955304358113207549303093761056254590020009
Sun Mar  5 01:22:39 2023  elapsed time 00:13:36 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.095).
Factorization parameters were as follows:
#
# N = 89x10^157-62 = 98(156)2
#
n: 2906405260992832705674003137771225118371603574719269779843916833277884519414388518792167077393550665591039918477608762080931710029195210051
m: 10000000000000000000000000000000
deg: 5
c5: 4450
c0: -31
skew: 0.37
# Murphy_E = 4.371e-10
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 27150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1161478 hash collisions in 12777208 relations (12420182 unique)
Msieve: matrix is 624881 x 625108 (172.9 MB)

Sieving start time: 2023/03/04 22:34:28
Sieving end time  : 2023/03/05 01:08:53

Total sieving time: 2hrs 34min 25secs.

Total relation processing time: 0hrs 10min 29sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 39sec.

Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

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

89×10161-629

c145

name 名前Bob Backstrom
date 日付March 6, 2023 00:10:20 UTC 2023 年 3 月 6 日 (月) 9 時 10 分 20 秒 (日本時間)
composite number 合成数
3907635423810781551652745983545233695351794548509685185257800427749191593085504449070487326371862313344606939721601217705524196478736245734943533<145>
prime factors 素因数
5786227809819869195058271644413475439571891364340212301<55>
675333836178916360219844074610864326868867952895112801575815045072296934558358735659457633<90>
factorization results 素因数分解の結果
Number: n
N=3907635423810781551652745983545233695351794548509685185257800427749191593085504449070487326371862313344606939721601217705524196478736245734943533  ( 145 digits)
SNFS difficulty: 162 digits.
Divisors found:

Mon Mar  6 11:04:51 2023  prp55 factor: 5786227809819869195058271644413475439571891364340212301
Mon Mar  6 11:04:51 2023  prp90 factor: 675333836178916360219844074610864326868867952895112801575815045072296934558358735659457633
Mon Mar  6 11:04:51 2023  elapsed time 00:14:32 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.096).
Factorization parameters were as follows:
#
# N = 89x10^161-62 = 98(160)2
#
n: 3907635423810781551652745983545233695351794548509685185257800427749191593085504449070487326371862313344606939721601217705524196478736245734943533
m: 100000000000000000000000000000000
deg: 5
c5: 445
c0: -31
skew: 0.59
# Murphy_E = 3.642e-10
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 27400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1189320 hash collisions in 12796880 relations (12415213 unique)
Msieve: matrix is 628706 x 628931 (176.8 MB)

Sieving start time: 2023/03/06 07:29:17
Sieving end time  : 2023/03/06 10:49:42

Total sieving time: 3hrs 20min 25secs.

Total relation processing time: 0hrs 10min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 22sec.

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

ECM

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

89×10168-629

c130

name 名前Norman Powell
date 日付March 18, 2023 15:05:28 UTC 2023 年 3 月 19 日 (日) 0 時 5 分 28 秒 (日本時間)
composite number 合成数
1704651370887662197905454512481598680919235456734202294113572485155717063005936069894023558890792955975316635555399340241902038763<130>
prime factors 素因数
6112289461816236388466386392072558080899059166093490604191605787<64>
278889175903186615164113006573547947858499483752644929452109409649<66>
factorization results 素因数分解の結果
nfs: commencing nfs on c130: 1704651370887662197905454512481598680919235456734202294113572485155717063005936069894023558890792955975316635555399340241902038763
nfs: commencing poly selection with 6 threads
nfs: setting deadline of 8752 seconds
nfs: expecting degree 5 poly E from 7.23e-11 to > 8.31e-11
nfs: searching for avg quality poly E > 7.49e-11
nfs: completed 16 ranges of size 250 in 301.6103 seconds
nfs: best poly = # norm 1.959972e-12 alpha -6.458208 e 8.075e-11 rroots 3
nfs: commencing lattice sieving with 6 threads
nfs: commencing msieve filtering
nfs: commencing msieve linear algebra
nfs: commencing msieve sqrt
prp66 = 278889175903186615164113006573547947858499483752644929452109409649
prp64 = 6112289461816236388466386392072558080899059166093490604191605787
NFS elapsed time = 64493.9442 seconds.
software ソフトウェア
YAFU v2.08.
execution environment 実行環境
Windows 10 v22H2, Intel i7-7700.

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)

89×10169-629

c150

name 名前Bob Backstrom
date 日付March 13, 2023 09:19:16 UTC 2023 年 3 月 13 日 (月) 18 時 19 分 16 秒 (日本時間)
composite number 合成数
377117666047298714415740107185211570817945231946599709768898227894618629686774119810616209361427357260186499380325125187438472737592420668365658194339<150>
prime factors 素因数
82359115992239958565954927348918816223659284397061<50>
4578942616174164604211710676412435479571885398294809616464139872907303237987562010331041987347947399<100>
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 377117666047298714415740107185211570817945231946599709768898227894618629686774119810616209361427357260186499380325125187438472737592420668365658194339 (150 digits)
Using B1=33560000, B2=144292738606, polynomial Dickson(12), sigma=1:4268413554
Step 1 took 67518ms
Step 2 took 23123ms
********** Factor found in step 2: 82359115992239958565954927348918816223659284397061
Found prime factor of 50 digits: 82359115992239958565954927348918816223659284397061
Prime cofactor 4578942616174164604211710676412435479571885398294809616464139872907303237987562010331041987347947399 has 100 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)

89×10175-629

c128

name 名前anonymous
date 日付April 17, 2023 22:53:31 UTC 2023 年 4 月 18 日 (火) 7 時 53 分 31 秒 (日本時間)
composite number 合成数
30531668204329199275068036937966854673545061283813263366099728420575486263303911738170216355247717779906843473666515063363191343<128>
prime factors 素因数
45605078394660474148075392277544752771909633<44>
669479568483844613636775506725007491617840033216121902950022878813235042143763597871<84>
factorization results 素因数分解の結果
Tue Apr 18 04:43:56 2023  
Tue Apr 18 04:43:56 2023  
Tue Apr 18 04:43:56 2023  Msieve v. 1.54 (SVN Unversioned directory)
Tue Apr 18 04:43:56 2023  random seeds: bb6ff600 e535388c
Tue Apr 18 04:43:56 2023  factoring 30531668204329199275068036937966854673545061283813263366099728420575486263303911738170216355247717779906843473666515063363191343 (128 digits)
Tue Apr 18 04:43:57 2023  searching for 15-digit factors
Tue Apr 18 04:43:57 2023  commencing number field sieve (128-digit input)
Tue Apr 18 04:43:57 2023  R0: -100000000000000000000000000000000000
Tue Apr 18 04:43:57 2023  R1: 1
Tue Apr 18 04:43:57 2023  A0: -62
Tue Apr 18 04:43:57 2023  A1: 0
Tue Apr 18 04:43:57 2023  A2: 0
Tue Apr 18 04:43:57 2023  A3: 0
Tue Apr 18 04:43:57 2023  A4: 0
Tue Apr 18 04:43:57 2023  A5: 89
Tue Apr 18 04:43:57 2023  skew 0.93, size 1.783e-012, alpha 0.590, combined = 1.183e-010 rroots = 1
Tue Apr 18 04:43:57 2023  
Tue Apr 18 04:43:57 2023  commencing relation filtering
Tue Apr 18 04:43:57 2023  estimated available RAM is 15734.8 MB
Tue Apr 18 04:43:57 2023  commencing duplicate removal, pass 1
Tue Apr 18 04:45:47 2023  found 2385285 hash collisions in 18325311 relations
Tue Apr 18 04:46:00 2023  added 1903 free relations
Tue Apr 18 04:46:00 2023  commencing duplicate removal, pass 2
Tue Apr 18 04:46:06 2023  found 1656490 duplicates and 16670724 unique relations
Tue Apr 18 04:46:06 2023  memory use: 82.6 MB
Tue Apr 18 04:46:06 2023  reading ideals above 720000
Tue Apr 18 04:46:07 2023  commencing singleton removal, initial pass
Tue Apr 18 04:47:39 2023  memory use: 376.5 MB
Tue Apr 18 04:47:39 2023  reading all ideals from disk
Tue Apr 18 04:47:39 2023  memory use: 504.0 MB
Tue Apr 18 04:47:40 2023  commencing in-memory singleton removal
Tue Apr 18 04:47:41 2023  begin with 16670724 relations and 19000784 unique ideals
Tue Apr 18 04:47:48 2023  reduce to 5860405 relations and 5565267 ideals in 21 passes
Tue Apr 18 04:47:48 2023  max relations containing the same ideal: 85
Tue Apr 18 04:47:50 2023  removing 754827 relations and 674603 ideals in 80224 cliques
Tue Apr 18 04:47:50 2023  commencing in-memory singleton removal
Tue Apr 18 04:47:51 2023  begin with 5105578 relations and 5565267 unique ideals
Tue Apr 18 04:47:53 2023  reduce to 5017145 relations and 4800570 ideals in 9 passes
Tue Apr 18 04:47:53 2023  max relations containing the same ideal: 79
Tue Apr 18 04:47:54 2023  removing 564852 relations and 484628 ideals in 80224 cliques
Tue Apr 18 04:47:55 2023  commencing in-memory singleton removal
Tue Apr 18 04:47:55 2023  begin with 4452293 relations and 4800570 unique ideals
Tue Apr 18 04:47:57 2023  reduce to 4396394 relations and 4259084 ideals in 10 passes
Tue Apr 18 04:47:57 2023  max relations containing the same ideal: 71
Tue Apr 18 04:47:59 2023  relations with 0 large ideals: 2904
Tue Apr 18 04:47:59 2023  relations with 1 large ideals: 1621
Tue Apr 18 04:47:59 2023  relations with 2 large ideals: 26454
Tue Apr 18 04:47:59 2023  relations with 3 large ideals: 171353
Tue Apr 18 04:47:59 2023  relations with 4 large ideals: 587248
Tue Apr 18 04:47:59 2023  relations with 5 large ideals: 1136978
Tue Apr 18 04:47:59 2023  relations with 6 large ideals: 1301309
Tue Apr 18 04:47:59 2023  relations with 7+ large ideals: 1168527
Tue Apr 18 04:47:59 2023  commencing 2-way merge
Tue Apr 18 04:48:01 2023  reduce to 2503574 relation sets and 2366265 unique ideals
Tue Apr 18 04:48:01 2023  ignored 1 oversize relation sets
Tue Apr 18 04:48:01 2023  commencing full merge
Tue Apr 18 04:48:37 2023  memory use: 282.2 MB
Tue Apr 18 04:48:37 2023  found 1137731 cycles, need 1128465
Tue Apr 18 04:48:37 2023  weight of 1128465 cycles is about 101837438 (90.24/cycle)
Tue Apr 18 04:48:37 2023  distribution of cycle lengths:
Tue Apr 18 04:48:37 2023  1 relations: 121621
Tue Apr 18 04:48:37 2023  2 relations: 104065
Tue Apr 18 04:48:37 2023  3 relations: 100782
Tue Apr 18 04:48:37 2023  4 relations: 94116
Tue Apr 18 04:48:37 2023  5 relations: 88192
Tue Apr 18 04:48:37 2023  6 relations: 79725
Tue Apr 18 04:48:37 2023  7 relations: 72717
Tue Apr 18 04:48:37 2023  8 relations: 63651
Tue Apr 18 04:48:37 2023  9 relations: 56690
Tue Apr 18 04:48:37 2023  10+ relations: 346906
Tue Apr 18 04:48:37 2023  heaviest cycle: 28 relations
Tue Apr 18 04:48:38 2023  commencing cycle optimization
Tue Apr 18 04:48:39 2023  start with 8507105 relations
Tue Apr 18 04:48:53 2023  pruned 238487 relations
Tue Apr 18 04:48:53 2023  memory use: 261.2 MB
Tue Apr 18 04:48:53 2023  distribution of cycle lengths:
Tue Apr 18 04:48:53 2023  1 relations: 121621
Tue Apr 18 04:48:53 2023  2 relations: 106277
Tue Apr 18 04:48:53 2023  3 relations: 104248
Tue Apr 18 04:48:53 2023  4 relations: 96621
Tue Apr 18 04:48:53 2023  5 relations: 90613
Tue Apr 18 04:48:53 2023  6 relations: 81707
Tue Apr 18 04:48:53 2023  7 relations: 74028
Tue Apr 18 04:48:53 2023  8 relations: 64560
Tue Apr 18 04:48:53 2023  9 relations: 57377
Tue Apr 18 04:48:53 2023  10+ relations: 331413
Tue Apr 18 04:48:53 2023  heaviest cycle: 28 relations
Tue Apr 18 04:48:54 2023  RelProcTime: 297
Tue Apr 18 04:48:54 2023  elapsed time 00:04:58
Tue Apr 18 04:48:54 2023  
Tue Apr 18 04:48:54 2023  
Tue Apr 18 04:48:54 2023  Msieve v. 1.54 (SVN Unversioned directory)
Tue Apr 18 04:48:54 2023  random seeds: e3c5044c 199d83a2
Tue Apr 18 04:48:54 2023  factoring 30531668204329199275068036937966854673545061283813263366099728420575486263303911738170216355247717779906843473666515063363191343 (128 digits)
Tue Apr 18 04:48:54 2023  searching for 15-digit factors
Tue Apr 18 04:48:55 2023  commencing number field sieve (128-digit input)
Tue Apr 18 04:48:55 2023  R0: -100000000000000000000000000000000000
Tue Apr 18 04:48:55 2023  R1: 1
Tue Apr 18 04:48:55 2023  A0: -62
Tue Apr 18 04:48:55 2023  A1: 0
Tue Apr 18 04:48:55 2023  A2: 0
Tue Apr 18 04:48:55 2023  A3: 0
Tue Apr 18 04:48:55 2023  A4: 0
Tue Apr 18 04:48:55 2023  A5: 89
Tue Apr 18 04:48:55 2023  skew 0.93, size 1.783e-012, alpha 0.590, combined = 1.183e-010 rroots = 1
Tue Apr 18 04:48:55 2023  
Tue Apr 18 04:48:55 2023  commencing linear algebra
Tue Apr 18 04:48:55 2023  read 1128465 cycles
Tue Apr 18 04:48:56 2023  cycles contain 4232710 unique relations
Tue Apr 18 04:49:14 2023  read 4232710 relations
Tue Apr 18 04:49:19 2023  using 20 quadratic characters above 4294917295
Tue Apr 18 04:49:32 2023  building initial matrix
Tue Apr 18 04:50:02 2023  memory use: 513.6 MB
Tue Apr 18 04:50:03 2023  read 1128465 cycles
Tue Apr 18 04:50:03 2023  matrix is 1128287 x 1128465 (416.2 MB) with weight 122734588 (108.76/col)
Tue Apr 18 04:50:03 2023  sparse part has weight 96693863 (85.69/col)
Tue Apr 18 04:50:10 2023  filtering completed in 2 passes
Tue Apr 18 04:50:10 2023  matrix is 1127396 x 1127573 (416.1 MB) with weight 122697714 (108.82/col)
Tue Apr 18 04:50:10 2023  sparse part has weight 96679008 (85.74/col)
Tue Apr 18 04:50:12 2023  matrix starts at (0, 0)
Tue Apr 18 04:50:12 2023  matrix is 1127396 x 1127573 (416.1 MB) with weight 122697714 (108.82/col)
Tue Apr 18 04:50:12 2023  sparse part has weight 96679008 (85.74/col)
Tue Apr 18 04:50:12 2023  saving the first 112 matrix rows for later
Tue Apr 18 04:50:13 2023  matrix includes 128 packed rows
Tue Apr 18 04:50:13 2023  matrix is 1127284 x 1127573 (379.9 MB) with weight 92589365 (82.11/col)
Tue Apr 18 04:50:13 2023  sparse part has weight 86051610 (76.32/col)
Tue Apr 18 04:50:13 2023  using block size 8192 and superblock size 393216 for processor cache size 8192 kB
Tue Apr 18 04:50:16 2023  commencing Lanczos iteration (10 threads)
Tue Apr 18 04:50:16 2023  memory use: 427.6 MB
Tue Apr 18 04:50:18 2023  linear algebra at 0.1%, ETA 0h24m
Tue Apr 18 04:50:19 2023  checkpointing every 2440000 dimensions
Tue Apr 18 05:12:38 2023  lanczos halted after 8861 iterations (dim = 1127284)
Tue Apr 18 05:12:39 2023  recovered 39 nontrivial dependencies
Tue Apr 18 05:12:39 2023  BLanczosTime: 1424
Tue Apr 18 05:12:39 2023  elapsed time 00:23:45
Tue Apr 18 05:12:40 2023  
Tue Apr 18 05:12:40 2023  
Tue Apr 18 05:12:40 2023  Msieve v. 1.54 (SVN Unversioned directory)
Tue Apr 18 05:12:40 2023  random seeds: 939eadf0 0cefebc4
Tue Apr 18 05:12:40 2023  factoring 30531668204329199275068036937966854673545061283813263366099728420575486263303911738170216355247717779906843473666515063363191343 (128 digits)
Tue Apr 18 05:12:40 2023  searching for 15-digit factors
Tue Apr 18 05:12:40 2023  commencing number field sieve (128-digit input)
Tue Apr 18 05:12:40 2023  R0: -100000000000000000000000000000000000
Tue Apr 18 05:12:40 2023  R1: 1
Tue Apr 18 05:12:40 2023  A0: -62
Tue Apr 18 05:12:40 2023  A1: 0
Tue Apr 18 05:12:40 2023  A2: 0
Tue Apr 18 05:12:40 2023  A3: 0
Tue Apr 18 05:12:40 2023  A4: 0
Tue Apr 18 05:12:40 2023  A5: 89
Tue Apr 18 05:12:40 2023  skew 0.93, size 1.783e-012, alpha 0.590, combined = 1.183e-010 rroots = 1
Tue Apr 18 05:12:40 2023  
Tue Apr 18 05:12:40 2023  commencing square root phase
Tue Apr 18 05:12:40 2023  reading relations for dependency 1
Tue Apr 18 05:12:40 2023  read 564329 cycles
Tue Apr 18 05:12:41 2023  cycles contain 2117424 unique relations
Tue Apr 18 05:12:51 2023  read 2117424 relations
Tue Apr 18 05:12:56 2023  multiplying 2117424 relations
Tue Apr 18 05:13:35 2023  multiply complete, coefficients have about 60.25 million bits
Tue Apr 18 05:13:35 2023  initial square root is modulo 446517941
Tue Apr 18 05:14:20 2023  GCD is 1, no factor found
Tue Apr 18 05:14:20 2023  reading relations for dependency 2
Tue Apr 18 05:14:20 2023  read 564425 cycles
Tue Apr 18 05:14:21 2023  cycles contain 2116002 unique relations
Tue Apr 18 05:14:30 2023  read 2116002 relations
Tue Apr 18 05:14:36 2023  multiplying 2116002 relations
Tue Apr 18 05:15:14 2023  multiply complete, coefficients have about 60.21 million bits
Tue Apr 18 05:15:14 2023  initial square root is modulo 440743441
Tue Apr 18 05:15:59 2023  sqrtTime: 199
Tue Apr 18 05:15:59 2023  p44 factor: 45605078394660474148075392277544752771909633
Tue Apr 18 05:15:59 2023  p84 factor: 669479568483844613636775506725007491617840033216121902950022878813235042143763597871
Tue Apr 18 05:15:59 2023  elapsed time 00:03:19

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 29, 2023 15:42:26 UTC 2023 年 3 月 30 日 (木) 0 時 42 分 26 秒 (日本時間)

89×10177-629

c149

name 名前Bob Backstrom
date 日付April 13, 2023 08:43:00 UTC 2023 年 4 月 13 日 (木) 17 時 43 分 0 秒 (日本時間)
composite number 合成数
72426382888247943625026741553089229406454566326267313660158252767077136400760603409079136902184775007410880843448747824310960588798971339227041132473<149>
prime factors 素因数
9629091333083472898129020551921718573658644670065953<52>
7521621758784920236272793021975156362957523670512260057864424161585154534925392423683855219922841<97>
factorization results 素因数分解の結果
Number: n
N=72426382888247943625026741553089229406454566326267313660158252767077136400760603409079136902184775007410880843448747824310960588798971339227041132473  ( 149 digits)
SNFS difficulty: 178 digits.
Divisors found:

Thu Apr 13 18:01:18 2023  prp52 factor: 9629091333083472898129020551921718573658644670065953
Thu Apr 13 18:01:18 2023  prp97 factor: 7521621758784920236272793021975156362957523670512260057864424161585154534925392423683855219922841
Thu Apr 13 18:01:18 2023  elapsed time 00:50:31 (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 = 89x10^177-62 = 98(176)2
#
n: 72426382888247943625026741553089229406454566326267313660158252767077136400760603409079136902184775007410880843448747824310960588798971339227041132473
m: 100000000000000000000000000000000000
deg: 5
c5: 4450
c0: -31
skew: 0.37
# Murphy_E = 7.127e-11
type: snfs
lss: 1
rlim: 6600000
alim: 6600000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6600000/6600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 28900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2418585 hash collisions in 15886674 relations (14240268 unique)
Msieve: matrix is 1273679 x 1273904 (358.0 MB)

Sieving start time: 2023/04/13 13:05:51
Sieving end time  : 2023/04/13 17:10:31

Total sieving time: 4hrs 4min 40secs.

Total relation processing time: 0hrs 45min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 34sec.

Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,6600000,6600000,27,27,53,53,2.5,2.5,100000
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)
403e62350Ignacio SantosMarch 31, 2023 08:28:09 UTC 2023 年 3 月 31 日 (金) 17 時 28 分 9 秒 (日本時間)

89×10179-629

c115

name 名前Ignacio Santos
date 日付February 23, 2023 12:17:34 UTC 2023 年 2 月 23 日 (木) 21 時 17 分 34 秒 (日本時間)
composite number 合成数
7132051338172540284705733343838700686095768565046231907473077863758194550731572929285728398387358475116437466666149<115>
prime factors 素因数
124132169476253508697976631339361627956484149280987<51>
57455302426957921846702371368412319084696300611185988391147878527<65>
factorization results 素因数分解の結果
-> makeJobFile(): Adjusted to q0=1750000, q1=1850000.
->               client 1 q0: 1750000
      LatSieveTime: 79
        LatSieveTime: 80
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        LatSieveTime: 91
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-> makeJobFile(): Adjusted to q0=1850001, q1=1950000.
->               client 1 q0: 1850001
      LatSieveTime: 95
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        LatSieveTime: 100
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        LatSieveTime: 119
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-> makeJobFile(): Adjusted to q0=1950001, q1=2050000.
->               client 1 q0: 1950001
      LatSieveTime: 87
        LatSieveTime: 88
        LatSieveTime: 89
        LatSieveTime: 91
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        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 111
        LatSieveTime: 111
-> makeJobFile(): Adjusted to q0=2050001, q1=2150000.
->               client 1 q0: 2050001
      LatSieveTime: 83
        LatSieveTime: 85
        LatSieveTime: 87
        LatSieveTime: 91
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        LatSieveTime: 97
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        LatSieveTime: 113
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        LatSieveTime: 115
        LatSieveTime: 121
        LatSieveTime: 123
-> makeJobFile(): Adjusted to q0=2150001, q1=2250000.
->               client 1 q0: 2150001
      LatSieveTime: 85
        LatSieveTime: 85
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        LatSieveTime: 90
        LatSieveTime: 90
        LatSieveTime: 92
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        LatSieveTime: 95
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-> makeJobFile(): Adjusted to q0=2250001, q1=2350000.
->               client 1 q0: 2250001
      LatSieveTime: 80
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        LatSieveTime: 110
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        LatSieveTime: 115
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        LatSieveTime: 122
-> makeJobFile(): Adjusted to q0=2350001, q1=2450000.
->               client 1 q0: 2350001
      LatSieveTime: 81
        LatSieveTime: 88
        LatSieveTime: 88
        LatSieveTime: 89
        LatSieveTime: 91
        LatSieveTime: 93
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        LatSieveTime: 98
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        LatSieveTime: 111
        LatSieveTime: 113
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 117
-> makeJobFile(): Adjusted to q0=2450001, q1=2550000.
->               client 1 q0: 2450001
      LatSieveTime: 89
        LatSieveTime: 89
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        LatSieveTime: 90
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        LatSieveTime: 120
-> makeJobFile(): Adjusted to q0=2550001, q1=2650000.
->               client 1 q0: 2550001
      LatSieveTime: 84
        LatSieveTime: 94
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        LatSieveTime: 98
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        LatSieveTime: 123
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-> makeJobFile(): Adjusted to q0=2650001, q1=2750000.
->               client 1 q0: 2650001
      LatSieveTime: 83
        LatSieveTime: 95
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        LatSieveTime: 118
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        LatSieveTime: 123
-> makeJobFile(): Adjusted to q0=2750001, q1=2850000.
->               client 1 q0: 2750001
      LatSieveTime: 88
        LatSieveTime: 91
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        LatSieveTime: 92
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        LatSieveTime: 114
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        LatSieveTime: 116
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        LatSieveTime: 118
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        LatSieveTime: 122
Thu Feb 23 13:05:48 2023  
Thu Feb 23 13:05:48 2023  
Thu Feb 23 13:05:48 2023  Msieve v. 1.52 (SVN 927)
Thu Feb 23 13:05:48 2023  random seeds: 940a2768 fc4089ae
Thu Feb 23 13:05:48 2023  factoring 7132051338172540284705733343838700686095768565046231907473077863758194550731572929285728398387358475116437466666149 (115 digits)
Thu Feb 23 13:05:48 2023  searching for 15-digit factors
Thu Feb 23 13:05:48 2023  commencing number field sieve (115-digit input)
Thu Feb 23 13:05:48 2023  R0: -10797377120761721354191
Thu Feb 23 13:05:48 2023  R1: 2289364696201
Thu Feb 23 13:05:48 2023  A0: -60571787584256945810620800
Thu Feb 23 13:05:48 2023  A1: 661279942808314868958968
Thu Feb 23 13:05:48 2023  A2: 19951609309432052791
Thu Feb 23 13:05:48 2023  A3: -287957545913290
Thu Feb 23 13:05:48 2023  A4: -6945431220
Thu Feb 23 13:05:48 2023  A5: 48600
Thu Feb 23 13:05:48 2023  skew 57802.00, size 4.713e-011, alpha -6.560, combined = 5.077e-010 rroots = 5
Thu Feb 23 13:05:48 2023  
Thu Feb 23 13:05:48 2023  commencing relation filtering
Thu Feb 23 13:05:48 2023  estimated available RAM is 65413.5 MB
Thu Feb 23 13:05:48 2023  commencing duplicate removal, pass 1
Thu Feb 23 13:06:03 2023  found 745891 hash collisions in 7219401 relations
Thu Feb 23 13:06:11 2023  added 56964 free relations
Thu Feb 23 13:06:11 2023  commencing duplicate removal, pass 2
Thu Feb 23 13:06:13 2023  found 479598 duplicates and 6796767 unique relations
Thu Feb 23 13:06:13 2023  memory use: 24.6 MB
Thu Feb 23 13:06:13 2023  reading ideals above 100000
Thu Feb 23 13:06:13 2023  commencing singleton removal, initial pass
Thu Feb 23 13:06:38 2023  memory use: 188.3 MB
Thu Feb 23 13:06:38 2023  reading all ideals from disk
Thu Feb 23 13:06:39 2023  memory use: 233.2 MB
Thu Feb 23 13:06:39 2023  keeping 7791826 ideals with weight <= 200, target excess is 36832
Thu Feb 23 13:06:39 2023  commencing in-memory singleton removal
Thu Feb 23 13:06:39 2023  begin with 6796767 relations and 7791826 unique ideals
Thu Feb 23 13:06:41 2023  reduce to 1893847 relations and 1906654 ideals in 20 passes
Thu Feb 23 13:06:41 2023  max relations containing the same ideal: 83
Thu Feb 23 13:06:42 2023  filtering wants 1000000 more relations
Thu Feb 23 13:06:42 2023  elapsed time 00:00:54
-> makeJobFile(): Adjusted to q0=2850001, q1=2950000.
->               client 1 q0: 2850001
 LatSieveTime: 81
        LatSieveTime: 93
        LatSieveTime: 95
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        LatSieveTime: 95
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        LatSieveTime: 124
        LatSieveTime: 125
Thu Feb 23 13:08:52 2023  
Thu Feb 23 13:08:52 2023  
Thu Feb 23 13:08:52 2023  Msieve v. 1.52 (SVN 927)
Thu Feb 23 13:08:52 2023  random seeds: 36ff89c4 135df481
Thu Feb 23 13:08:52 2023  factoring 7132051338172540284705733343838700686095768565046231907473077863758194550731572929285728398387358475116437466666149 (115 digits)
Thu Feb 23 13:08:52 2023  searching for 15-digit factors
Thu Feb 23 13:08:52 2023  commencing number field sieve (115-digit input)
Thu Feb 23 13:08:52 2023  R0: -10797377120761721354191
Thu Feb 23 13:08:52 2023  R1: 2289364696201
Thu Feb 23 13:08:52 2023  A0: -60571787584256945810620800
Thu Feb 23 13:08:52 2023  A1: 661279942808314868958968
Thu Feb 23 13:08:52 2023  A2: 19951609309432052791
Thu Feb 23 13:08:52 2023  A3: -287957545913290
Thu Feb 23 13:08:52 2023  A4: -6945431220
Thu Feb 23 13:08:52 2023  A5: 48600
Thu Feb 23 13:08:52 2023  skew 57802.00, size 4.713e-011, alpha -6.560, combined = 5.077e-010 rroots = 5
Thu Feb 23 13:08:52 2023  
Thu Feb 23 13:08:52 2023  commencing relation filtering
Thu Feb 23 13:08:52 2023  estimated available RAM is 65413.5 MB
Thu Feb 23 13:08:52 2023  commencing duplicate removal, pass 1
Thu Feb 23 13:09:09 2023  found 871499 hash collisions in 7927210 relations
Thu Feb 23 13:09:17 2023  added 797 free relations
Thu Feb 23 13:09:17 2023  commencing duplicate removal, pass 2
Thu Feb 23 13:09:19 2023  found 558450 duplicates and 7369557 unique relations
Thu Feb 23 13:09:19 2023  memory use: 26.6 MB
Thu Feb 23 13:09:19 2023  reading ideals above 100000
Thu Feb 23 13:09:19 2023  commencing singleton removal, initial pass
Thu Feb 23 13:09:46 2023  memory use: 188.3 MB
Thu Feb 23 13:09:46 2023  reading all ideals from disk
Thu Feb 23 13:09:46 2023  memory use: 253.0 MB
Thu Feb 23 13:09:47 2023  keeping 8097276 ideals with weight <= 200, target excess is 39994
Thu Feb 23 13:09:47 2023  commencing in-memory singleton removal
Thu Feb 23 13:09:47 2023  begin with 7369557 relations and 8097276 unique ideals
Thu Feb 23 13:09:50 2023  reduce to 2528246 relations and 2363141 ideals in 17 passes
Thu Feb 23 13:09:50 2023  max relations containing the same ideal: 97
Thu Feb 23 13:09:50 2023  removing 422058 relations and 362702 ideals in 59356 cliques
Thu Feb 23 13:09:50 2023  commencing in-memory singleton removal
Thu Feb 23 13:09:50 2023  begin with 2106188 relations and 2363141 unique ideals
Thu Feb 23 13:09:51 2023  reduce to 2049658 relations and 1942182 ideals in 9 passes
Thu Feb 23 13:09:51 2023  max relations containing the same ideal: 86
Thu Feb 23 13:09:51 2023  removing 325960 relations and 266604 ideals in 59356 cliques
Thu Feb 23 13:09:51 2023  commencing in-memory singleton removal
Thu Feb 23 13:09:51 2023  begin with 1723698 relations and 1942182 unique ideals
Thu Feb 23 13:09:52 2023  reduce to 1680314 relations and 1630932 ideals in 10 passes
Thu Feb 23 13:09:52 2023  max relations containing the same ideal: 76
Thu Feb 23 13:09:52 2023  relations with 0 large ideals: 145
Thu Feb 23 13:09:52 2023  relations with 1 large ideals: 361
Thu Feb 23 13:09:52 2023  relations with 2 large ideals: 5495
Thu Feb 23 13:09:52 2023  relations with 3 large ideals: 43240
Thu Feb 23 13:09:52 2023  relations with 4 large ideals: 171314
Thu Feb 23 13:09:52 2023  relations with 5 large ideals: 384628
Thu Feb 23 13:09:52 2023  relations with 6 large ideals: 500552
Thu Feb 23 13:09:52 2023  relations with 7+ large ideals: 574579
Thu Feb 23 13:09:52 2023  commencing 2-way merge
Thu Feb 23 13:09:53 2023  reduce to 961008 relation sets and 911626 unique ideals
Thu Feb 23 13:09:53 2023  commencing full merge
Thu Feb 23 13:10:03 2023  memory use: 108.3 MB
Thu Feb 23 13:10:04 2023  found 476042 cycles, need 467826
Thu Feb 23 13:10:04 2023  weight of 467826 cycles is about 33073413 (70.70/cycle)
Thu Feb 23 13:10:04 2023  distribution of cycle lengths:
Thu Feb 23 13:10:04 2023  1 relations: 50792
Thu Feb 23 13:10:04 2023  2 relations: 49416
Thu Feb 23 13:10:04 2023  3 relations: 51083
Thu Feb 23 13:10:04 2023  4 relations: 47590
Thu Feb 23 13:10:04 2023  5 relations: 44174
Thu Feb 23 13:10:04 2023  6 relations: 38421
Thu Feb 23 13:10:04 2023  7 relations: 33618
Thu Feb 23 13:10:04 2023  8 relations: 29891
Thu Feb 23 13:10:04 2023  9 relations: 25641
Thu Feb 23 13:10:04 2023  10+ relations: 97200
Thu Feb 23 13:10:04 2023  heaviest cycle: 21 relations
Thu Feb 23 13:10:04 2023  commencing cycle optimization
Thu Feb 23 13:10:04 2023  start with 2884844 relations
Thu Feb 23 13:10:07 2023  pruned 63305 relations
Thu Feb 23 13:10:07 2023  memory use: 96.4 MB
Thu Feb 23 13:10:07 2023  distribution of cycle lengths:
Thu Feb 23 13:10:07 2023  1 relations: 50792
Thu Feb 23 13:10:07 2023  2 relations: 50477
Thu Feb 23 13:10:07 2023  3 relations: 52663
Thu Feb 23 13:10:07 2023  4 relations: 48672
Thu Feb 23 13:10:07 2023  5 relations: 45146
Thu Feb 23 13:10:07 2023  6 relations: 38919
Thu Feb 23 13:10:07 2023  7 relations: 34057
Thu Feb 23 13:10:07 2023  8 relations: 29934
Thu Feb 23 13:10:07 2023  9 relations: 25660
Thu Feb 23 13:10:07 2023  10+ relations: 91506
Thu Feb 23 13:10:07 2023  heaviest cycle: 21 relations
Thu Feb 23 13:10:08 2023  RelProcTime: 76
Thu Feb 23 13:10:08 2023  elapsed time 00:01:16
Thu Feb 23 13:10:08 2023  
Thu Feb 23 13:10:08 2023  
Thu Feb 23 13:10:08 2023  Msieve v. 1.52 (SVN 927)
Thu Feb 23 13:10:08 2023  random seeds: 6dee2094 06c744be
Thu Feb 23 13:10:08 2023  factoring 7132051338172540284705733343838700686095768565046231907473077863758194550731572929285728398387358475116437466666149 (115 digits)
Thu Feb 23 13:10:08 2023  searching for 15-digit factors
Thu Feb 23 13:10:08 2023  commencing number field sieve (115-digit input)
Thu Feb 23 13:10:08 2023  R0: -10797377120761721354191
Thu Feb 23 13:10:08 2023  R1: 2289364696201
Thu Feb 23 13:10:08 2023  A0: -60571787584256945810620800
Thu Feb 23 13:10:08 2023  A1: 661279942808314868958968
Thu Feb 23 13:10:08 2023  A2: 19951609309432052791
Thu Feb 23 13:10:08 2023  A3: -287957545913290
Thu Feb 23 13:10:08 2023  A4: -6945431220
Thu Feb 23 13:10:08 2023  A5: 48600
Thu Feb 23 13:10:08 2023  skew 57802.00, size 4.713e-011, alpha -6.560, combined = 5.077e-010 rroots = 5
Thu Feb 23 13:10:08 2023  
Thu Feb 23 13:10:08 2023  commencing linear algebra
Thu Feb 23 13:10:08 2023  read 467826 cycles
Thu Feb 23 13:10:09 2023  cycles contain 1614724 unique relations
Thu Feb 23 13:10:12 2023  read 1614724 relations
Thu Feb 23 13:10:14 2023  using 20 quadratic characters above 134217488
Thu Feb 23 13:10:18 2023  building initial matrix
Thu Feb 23 13:10:26 2023  memory use: 202.8 MB
Thu Feb 23 13:10:26 2023  read 467826 cycles
Thu Feb 23 13:10:27 2023  matrix is 467647 x 467826 (141.0 MB) with weight 44915595 (96.01/col)
Thu Feb 23 13:10:27 2023  sparse part has weight 31806833 (67.99/col)
Thu Feb 23 13:10:28 2023  filtering completed in 2 passes
Thu Feb 23 13:10:28 2023  matrix is 466902 x 467081 (140.9 MB) with weight 44881478 (96.09/col)
Thu Feb 23 13:10:28 2023  sparse part has weight 31794724 (68.07/col)
Thu Feb 23 13:10:29 2023  matrix starts at (0, 0)
Thu Feb 23 13:10:29 2023  matrix is 466902 x 467081 (140.9 MB) with weight 44881478 (96.09/col)
Thu Feb 23 13:10:29 2023  sparse part has weight 31794724 (68.07/col)
Thu Feb 23 13:10:29 2023  saving the first 48 matrix rows for later
Thu Feb 23 13:10:29 2023  matrix includes 64 packed rows
Thu Feb 23 13:10:29 2023  matrix is 466854 x 467081 (136.2 MB) with weight 35660206 (76.35/col)
Thu Feb 23 13:10:29 2023  sparse part has weight 31029064 (66.43/col)
Thu Feb 23 13:10:29 2023  using block size 8192 and superblock size 12582912 for processor cache size 131072 kB
Thu Feb 23 13:10:31 2023  commencing Lanczos iteration (32 threads)
Thu Feb 23 13:10:31 2023  memory use: 106.3 MB
Thu Feb 23 13:10:36 2023  linear algebra at 2.6%, ETA 0h 3m
Thu Feb 23 13:14:05 2023  lanczos halted after 7384 iterations (dim = 466852)
Thu Feb 23 13:14:05 2023  recovered 27 nontrivial dependencies
Thu Feb 23 13:14:05 2023  BLanczosTime: 237
Thu Feb 23 13:14:05 2023  elapsed time 00:03:57
Thu Feb 23 13:14:05 2023  
Thu Feb 23 13:14:05 2023  
Thu Feb 23 13:14:05 2023  Msieve v. 1.52 (SVN 927)
Thu Feb 23 13:14:05 2023  random seeds: 68074a88 a13975e2
Thu Feb 23 13:14:05 2023  factoring 7132051338172540284705733343838700686095768565046231907473077863758194550731572929285728398387358475116437466666149 (115 digits)
Thu Feb 23 13:14:05 2023  searching for 15-digit factors
Thu Feb 23 13:14:05 2023  commencing number field sieve (115-digit input)
Thu Feb 23 13:14:05 2023  R0: -10797377120761721354191
Thu Feb 23 13:14:05 2023  R1: 2289364696201
Thu Feb 23 13:14:05 2023  A0: -60571787584256945810620800
Thu Feb 23 13:14:05 2023  A1: 661279942808314868958968
Thu Feb 23 13:14:05 2023  A2: 19951609309432052791
Thu Feb 23 13:14:05 2023  A3: -287957545913290
Thu Feb 23 13:14:05 2023  A4: -6945431220
Thu Feb 23 13:14:05 2023  A5: 48600
Thu Feb 23 13:14:05 2023  skew 57802.00, size 4.713e-011, alpha -6.560, combined = 5.077e-010 rroots = 5
Thu Feb 23 13:14:05 2023  
Thu Feb 23 13:14:05 2023  commencing square root phase
Thu Feb 23 13:14:05 2023  reading relations for dependency 1
Thu Feb 23 13:14:05 2023  read 233379 cycles
Thu Feb 23 13:14:06 2023  cycles contain 806906 unique relations
Thu Feb 23 13:14:08 2023  read 806906 relations
Thu Feb 23 13:14:09 2023  multiplying 806906 relations
Thu Feb 23 13:14:29 2023  multiply complete, coefficients have about 36.54 million bits
Thu Feb 23 13:14:29 2023  initial square root is modulo 176243
Thu Feb 23 13:14:52 2023  GCD is N, no factor found
Thu Feb 23 13:14:52 2023  reading relations for dependency 2
Thu Feb 23 13:14:52 2023  read 234003 cycles
Thu Feb 23 13:14:52 2023  cycles contain 808146 unique relations
Thu Feb 23 13:14:54 2023  read 808146 relations
Thu Feb 23 13:14:56 2023  multiplying 808146 relations
Thu Feb 23 13:15:15 2023  multiply complete, coefficients have about 36.60 million bits
Thu Feb 23 13:15:15 2023  initial square root is modulo 179807
Thu Feb 23 13:15:38 2023  GCD is 1, no factor found
Thu Feb 23 13:15:38 2023  reading relations for dependency 3
Thu Feb 23 13:15:38 2023  read 233554 cycles
Thu Feb 23 13:15:38 2023  cycles contain 806622 unique relations
Thu Feb 23 13:15:40 2023  read 806622 relations
Thu Feb 23 13:15:42 2023  multiplying 806622 relations
Thu Feb 23 13:16:01 2023  multiply complete, coefficients have about 36.52 million bits
Thu Feb 23 13:16:01 2023  initial square root is modulo 175543
Thu Feb 23 13:16:24 2023  GCD is 1, no factor found
Thu Feb 23 13:16:24 2023  reading relations for dependency 4
Thu Feb 23 13:16:25 2023  read 233529 cycles
Thu Feb 23 13:16:25 2023  cycles contain 806976 unique relations
Thu Feb 23 13:16:27 2023  read 806976 relations
Thu Feb 23 13:16:28 2023  multiplying 806976 relations
Thu Feb 23 13:16:47 2023  multiply complete, coefficients have about 36.54 million bits
Thu Feb 23 13:16:47 2023  initial square root is modulo 176611
Thu Feb 23 13:17:11 2023  sqrtTime: 186
Thu Feb 23 13:17:11 2023  prp51 factor: 124132169476253508697976631339361627956484149280987
Thu Feb 23 13:17:11 2023  prp65 factor: 57455302426957921846702371368412319084696300611185988391147878527
Thu Feb 23 13:17:11 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)

89×10182-629

c168

name 名前Bob Backstrom
date 日付March 19, 2023 10:21:23 UTC 2023 年 3 月 19 日 (日) 19 時 21 分 23 秒 (日本時間)
composite number 合成数
175267194952958048854198409947155108954993579760981779874211544050533570198685771066038025192376666600046116008422838435137114850591930937744885861429733211275666777847<168>
prime factors 素因数
5728054861170694660213656422848871921395322592626942675021<58>
30598030081914595773310062963635512333440402364296843848758133846920823783265077572453684898178942605525978707<110>
factorization results 素因数分解の結果
Number: n
N=175267194952958048854198409947155108954993579760981779874211544050533570198685771066038025192376666600046116008422838435137114850591930937744885861429733211275666777847  ( 168 digits)
SNFS difficulty: 183 digits.
Divisors found:

Sun Mar 19 21:16:20 2023  prp58 factor: 5728054861170694660213656422848871921395322592626942675021
Sun Mar 19 21:16:20 2023  prp110 factor: 30598030081914595773310062963635512333440402364296843848758133846920823783265077572453684898178942605525978707
Sun Mar 19 21:16:20 2023  elapsed time 01:05:30 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.079).
Factorization parameters were as follows:
#
# N = 89x10^182-62 = 98(181)2
#
n: 175267194952958048854198409947155108954993579760981779874211544050533570198685771066038025192376666600046116008422838435137114850591930937744885861429733211275666777847
m: 1000000000000000000000000000000000000
deg: 5
c5: 4450
c0: -31
skew: 0.37
# Murphy_E = 4.477e-11
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1445083 hash collisions in 12170033 relations (11411754 unique)
Msieve: matrix is 1431774 x 1432004 (405.4 MB)

Sieving start time: 2023/03/19 14:18:39
Sieving end time  : 2023/03/19 20:10:35

Total sieving time: 5hrs 51min 56secs.

Total relation processing time: 0hrs 58min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 16sec.

Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,8000000,8000000,27,27,52,52,2.5,2.5,100000
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 18, 2023 16:27:03 UTC 2023 年 3 月 19 日 (日) 1 時 27 分 3 秒 (日本時間)

89×10184-629

c133

name 名前Eric Jeancolas
date 日付June 2, 2023 21:17:33 UTC 2023 年 6 月 3 日 (土) 6 時 17 分 33 秒 (日本時間)
composite number 合成数
1893308611213706735430527571650390658555930258107143800091380695271770041319809749732403898729697851198806330105774607078556734392769<133>
prime factors 素因数
173368790296392852391739850309940171827220806677997476339<57>
10920700363524998960711687672856373331099002612019802840600825742308313589371<77>
factorization results 素因数分解の結果
1893308611213706735430527571650390658555930258107143800091380695271770041319809749732403898729697851198806330105774607078556734392769=173368790296392852391739850309940171827220806677997476339*10920700363524998960711687672856373331099002612019802840600825742308313589371

cado polynomial
n: 1893308611213706735430527571650390658555930258107143800091380695271770041319809749732403898729697851198806330105774607078556734392769
skew: 44596.539
c0: 7807205452165529335299281292
c1: -659265500710180005046580
c2: -290464960110843725377
c3: 1428290572038967
c4: 88632190602
c5: 60480
Y0: -53878843889088213686859365
Y1: 8839851815814568471
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.589e-07
# f(x) = 60480*x^5+88632190602*x^4+1428290572038967*x^3-290464960110843725377*x^2-659265500710180005046580*x+7807205452165529335299281292
# g(x) = 8839851815814568471*x-53878843889088213686859365

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

cado log (extracts)
Info:Square Root: Factors: 173368790296392852391739850309940171827220806677997476339 10920700363524998960711687672856373331099002612019802840600825742308313589371
Info:Square Root: Total cpu/real time for sqrt: 383.66/118.236
Info:Filtering - Merging: Merged matrix has 1150842 rows and total weight 196651808 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 292.46/80.4516
Info:Filtering - Merging: Total cpu/real time for replay: 40.18/34.7849
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17031455
Info:Lattice Sieving: Average J: 3788.67 for 491504 special-q, max bucket fill -bkmult 1.0,1s:1.244460
Info:Lattice Sieving: Total time: 164102s
Info:Linear Algebra: Total cpu/real time for bwc: 20600.3/5322.94
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 13067.27, WCT time 3356.07, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (36096 iterations)
Info:Linear Algebra: Lingen CPU time 227.94, WCT time 57.84
Info:Linear Algebra: Mksol: CPU time 7111.49,  WCT time 1825.18, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (18176 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6520.96
Info:Polynomial Selection (root optimized): Rootsieve time: 6518.39
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 53395.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 53868/38.240/47.516/52.920/0.991
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44042/38.200/42.306/48.110/0.957
Info:Polynomial Selection (size optimized): Total time: 11510.6
Info:Generate Factor Base: Total cpu/real time for makefb: 14.59/4.05373
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 195.88/181.918
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 169.3s
Info:Generate Free Relations: Total cpu/real time for freerel: 250.71/63.983
Info:Square Root: Total cpu/real time for sqrt: 383.66/118.236
Info:Quadratic Characters: Total cpu/real time for characters: 38.52/17.3665
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 77.58/76.9272
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 76.7s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 102.69/92.0222
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 351528/76854.6
Info:root: Cleaning up computation data in /tmp/cado.4as4hknw
173368790296392852391739850309940171827220806677997476339 10920700363524998960711687672856373331099002612019802840600825742308313589371
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 28, 2023 12:51:24 UTC 2023 年 3 月 28 日 (火) 21 時 51 分 24 秒 (日本時間)

89×10185-629

c185

name 名前Bob Backstrom
date 日付March 26, 2023 09:00:01 UTC 2023 年 3 月 26 日 (日) 18 時 0 分 1 秒 (日本時間)
composite number 合成数
29084967320261437908496732026143790849673202614379084967320261437908496732026143790849673202614379084967320261437908496732026143790849673202614379084967320261437908496732026143790849673<185>
prime factors 素因数
40363979695936829659308752420114361229<38>
968169073485647977214577783508707140665446219309949<51>
744257800928168870784726575732771623783990059293696766067910617463855708988431317351621035934513<96>
factorization results 素因数分解の結果
Number: n
N=720567385559091090762040635078869739093130010036727464328131951775796636413421991276631494136020386073207983493788192296842945788122395923213369837  ( 147 digits)
SNFS difficulty: 186 digits.
Divisors found:

Sun Mar 26 19:46:28 2023  prp51 factor: 968169073485647977214577783508707140665446219309949
Sun Mar 26 19:46:28 2023  prp96 factor: 744257800928168870784726575732771623783990059293696766067910617463855708988431317351621035934513
Sun Mar 26 19:46:28 2023  elapsed time 01:21:01 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.098).
Factorization parameters were as follows:
#
# N = 89x10^185-62 = 98(184)2
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 29084967320261437908496732026143790849673202614379084967320261437908496732026143790849673202614379084967320261437908496732026143790849673202614379084967320261437908496732026143790849673 (185 digits)
# Using B1=30450000, B2=144289975846, polynomial Dickson(12), sigma=1:1716799570
# Step 1 took 84301ms
# Step 2 took 28551ms
# ********** Factor found in step 2: 40363979695936829659308752420114361229
# Found prime factor of 38 digits: 40363979695936829659308752420114361229
# Composite cofactor 720567385559091090762040635078869739093130010036727464328131951775796636413421991276631494136020386073207983493788192296842945788122395923213369837 has 147 digits
#

n: 720567385559091090762040635078869739093130010036727464328131951775796636413421991276631494136020386073207983493788192296842945788122395923213369837

m: 10000000000000000000000000000000000000
deg: 5
c5: 89
c0: -62
skew: 0.93
# Murphy_E = 4.654e-11
type: snfs
lss: 1
rlim: 9100000
alim: 9100000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9100000/9100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 15750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1208135 hash collisions in 12102095 relations (11633893 unique)
Msieve: matrix is 1605620 x 1605845 (458.6 MB)

Sieving start time: 2023/03/26 13:57:15
Sieving end time  : 2023/03/26 18:25:13

Total sieving time: 4hrs 27min 58secs.

Total relation processing time: 1hrs 15min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 16sec.

Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,9100000,9100000,27,27,53,53,2.5,2.5,100000
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)

89×10186-629

c120

name 名前Ignacio Santos
date 日付February 26, 2023 16:37:04 UTC 2023 年 2 月 27 日 (月) 1 時 37 分 4 秒 (日本時間)
composite number 合成数
234178770891644550836148875472440788716030051789533433993738763283268501354766732243571304874649593037153449114821161147<120>
prime factors 素因数
3378113537216977849166594361095003445333812448129403573<55>
69322350569830221875794364969519811732711534727872640117725086639<65>
factorization results 素因数分解の結果
-> makeJobFile(): Adjusted to q0=2100000, q1=2200000.
->               client 1 q0: 2100000
      LatSieveTime: 87
        LatSieveTime: 87
        LatSieveTime: 92
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        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: 113
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 120
-> makeJobFile(): Adjusted to q0=2200001, q1=2300000.
->               client 1 q0: 2200001
      LatSieveTime: 84
        LatSieveTime: 85
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 103
        LatSieveTime: 105
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 121
        LatSieveTime: 122
-> makeJobFile(): Adjusted to q0=2300001, q1=2400000.
->               client 1 q0: 2300001
      LatSieveTime: 88
        LatSieveTime: 95
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 117
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 128
-> makeJobFile(): Adjusted to q0=2400001, q1=2500000.
->               client 1 q0: 2400001
      LatSieveTime: 94
        LatSieveTime: 95
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 121
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 127
        LatSieveTime: 128
-> makeJobFile(): Adjusted to q0=2500001, q1=2600000.
->               client 1 q0: 2500001
      LatSieveTime: 99
        LatSieveTime: 102
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 108
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 136
-> makeJobFile(): Adjusted to q0=2600001, q1=2700000.
->               client 1 q0: 2600001
      LatSieveTime: 89
        LatSieveTime: 89
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 100
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 123
        LatSieveTime: 123
-> makeJobFile(): Adjusted to q0=2700001, q1=2800000.
->               client 1 q0: 2700001
      LatSieveTime: 94
        LatSieveTime: 95
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 127
        LatSieveTime: 128
        LatSieveTime: 128
        LatSieveTime: 128
        LatSieveTime: 128
        LatSieveTime: 128
        LatSieveTime: 132
        LatSieveTime: 133
        LatSieveTime: 133
        LatSieveTime: 134
        LatSieveTime: 135
-> makeJobFile(): Adjusted to q0=2800001, q1=2900000.
->               client 1 q0: 2800001
      LatSieveTime: 96
        LatSieveTime: 98
        LatSieveTime: 101
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 126
        LatSieveTime: 127
        LatSieveTime: 128
        LatSieveTime: 131
        LatSieveTime: 132
-> makeJobFile(): Adjusted to q0=2900001, q1=3000000.
->               client 1 q0: 2900001
      LatSieveTime: 94
        LatSieveTime: 95
        LatSieveTime: 98
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 104
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 119
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 126
        LatSieveTime: 126
        LatSieveTime: 126
        LatSieveTime: 127
        LatSieveTime: 127
        LatSieveTime: 128
        LatSieveTime: 129
        LatSieveTime: 129
        LatSieveTime: 131
        LatSieveTime: 133
        LatSieveTime: 137
-> makeJobFile(): Adjusted to q0=3000001, q1=3100000.
->               client 1 q0: 3000001
      LatSieveTime: 89
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 126
        LatSieveTime: 128
        LatSieveTime: 129
        LatSieveTime: 130
-> makeJobFile(): Adjusted to q0=3100001, q1=3200000.
->               client 1 q0: 3100001
      LatSieveTime: 90
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 100
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 126
        LatSieveTime: 126
        LatSieveTime: 127
        LatSieveTime: 128
        LatSieveTime: 129
        LatSieveTime: 131
        LatSieveTime: 132
        LatSieveTime: 133
-> makeJobFile(): Adjusted to q0=3200001, q1=3300000.
->               client 1 q0: 3200001
      LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 98
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 125
        LatSieveTime: 127
        LatSieveTime: 128
        LatSieveTime: 128
        LatSieveTime: 133
-> makeJobFile(): Adjusted to q0=3300001, q1=3400000.
->               client 1 q0: 3300001
      LatSieveTime: 86
        LatSieveTime: 95
        LatSieveTime: 105
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 127
        LatSieveTime: 127
        LatSieveTime: 128
        LatSieveTime: 129
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 133
        LatSieveTime: 137
-> makeJobFile(): Adjusted to q0=3400001, q1=3500000.
->               client 1 q0: 3400001
      LatSieveTime: 77
        LatSieveTime: 99
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 133
-> makeJobFile(): Adjusted to q0=3500001, q1=3600000.
->               client 1 q0: 3500001
      LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 128
        LatSieveTime: 129
        LatSieveTime: 131
        LatSieveTime: 137
-> makeJobFile(): Adjusted to q0=3600001, q1=3700000.
->               client 1 q0: 3600001
      LatSieveTime: 91
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 126
        LatSieveTime: 126
        LatSieveTime: 126
        LatSieveTime: 128
        LatSieveTime: 128
        LatSieveTime: 130
        LatSieveTime: 130
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 133
        LatSieveTime: 139
        LatSieveTime: 141
-> makeJobFile(): Adjusted to q0=3700001, q1=3800000.
->               client 1 q0: 3700001
      LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 126
        LatSieveTime: 126
        LatSieveTime: 127
        LatSieveTime: 127
        LatSieveTime: 127
        LatSieveTime: 127
        LatSieveTime: 128
        LatSieveTime: 128
        LatSieveTime: 128
        LatSieveTime: 129
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 132
        LatSieveTime: 133
        LatSieveTime: 134
        LatSieveTime: 136
-> makeJobFile(): Adjusted to q0=3800001, q1=3900000.
->               client 1 q0: 3800001
      LatSieveTime: 96
        LatSieveTime: 100
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 108
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 123
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 126
        LatSieveTime: 127
        LatSieveTime: 127
        LatSieveTime: 130
        LatSieveTime: 130
        LatSieveTime: 130
        LatSieveTime: 130
        LatSieveTime: 130
        LatSieveTime: 132
        LatSieveTime: 132
        LatSieveTime: 133
        LatSieveTime: 136
        LatSieveTime: 139
        LatSieveTime: 150
-> makeJobFile(): Adjusted to q0=3900001, q1=4000000.
->               client 1 q0: 3900001
      LatSieveTime: 96
        LatSieveTime: 102
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 127
        LatSieveTime: 129
        LatSieveTime: 130
        LatSieveTime: 130
        LatSieveTime: 132
        LatSieveTime: 132
        LatSieveTime: 135
        LatSieveTime: 135
        LatSieveTime: 139
        LatSieveTime: 141
-> makeJobFile(): Adjusted to q0=4000001, q1=4100000.
->               client 1 q0: 4000001
      LatSieveTime: 99
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 108
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 126
        LatSieveTime: 126
        LatSieveTime: 128
        LatSieveTime: 128
        LatSieveTime: 128
        LatSieveTime: 129
        LatSieveTime: 130
        LatSieveTime: 133
        LatSieveTime: 134
        LatSieveTime: 135
-> makeJobFile(): Adjusted to q0=4100001, q1=4200000.
->               client 1 q0: 4100001
      LatSieveTime: 96
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 110
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 128
        LatSieveTime: 129
        LatSieveTime: 131
        LatSieveTime: 132
        LatSieveTime: 133
        LatSieveTime: 133
        LatSieveTime: 134
        LatSieveTime: 140
        LatSieveTime: 140
        LatSieveTime: 140
        LatSieveTime: 142
Sun Feb 26 17:24:57 2023  
Sun Feb 26 17:24:57 2023  
Sun Feb 26 17:24:57 2023  Msieve v. 1.52 (SVN 927)
Sun Feb 26 17:24:57 2023  random seeds: 2b900ca4 53884e8a
Sun Feb 26 17:24:57 2023  factoring 234178770891644550836148875472440788716030051789533433993738763283268501354766732243571304874649593037153449114821161147 (120 digits)
Sun Feb 26 17:24:57 2023  searching for 15-digit factors
Sun Feb 26 17:24:57 2023  commencing number field sieve (120-digit input)
Sun Feb 26 17:24:57 2023  R0: -130029679339722437080250
Sun Feb 26 17:24:57 2023  R1: 2521360308367
Sun Feb 26 17:24:57 2023  A0: -24177933023867938399589721279
Sun Feb 26 17:24:57 2023  A1: -9786843796498353798264594
Sun Feb 26 17:24:57 2023  A2: 48720722186701297552
Sun Feb 26 17:24:57 2023  A3: 1266326357040230
Sun Feb 26 17:24:57 2023  A4: -4103362017
Sun Feb 26 17:24:57 2023  A5: 6300
Sun Feb 26 17:24:57 2023  skew 144286.97, size 1.177e-011, alpha -6.024, combined = 2.356e-010 rroots = 3
Sun Feb 26 17:24:57 2023  
Sun Feb 26 17:24:57 2023  commencing relation filtering
Sun Feb 26 17:24:57 2023  estimated available RAM is 65413.5 MB
Sun Feb 26 17:24:57 2023  commencing duplicate removal, pass 1
Sun Feb 26 17:25:19 2023  found 1099044 hash collisions in 10470095 relations
Sun Feb 26 17:25:30 2023  added 62479 free relations
Sun Feb 26 17:25:30 2023  commencing duplicate removal, pass 2
Sun Feb 26 17:25:33 2023  found 849597 duplicates and 9682977 unique relations
Sun Feb 26 17:25:33 2023  memory use: 49.3 MB
Sun Feb 26 17:25:33 2023  reading ideals above 100000
Sun Feb 26 17:25:33 2023  commencing singleton removal, initial pass
Sun Feb 26 17:26:10 2023  memory use: 344.5 MB
Sun Feb 26 17:26:10 2023  reading all ideals from disk
Sun Feb 26 17:26:10 2023  memory use: 343.7 MB
Sun Feb 26 17:26:11 2023  keeping 10641552 ideals with weight <= 200, target excess is 51619
Sun Feb 26 17:26:11 2023  commencing in-memory singleton removal
Sun Feb 26 17:26:11 2023  begin with 9682977 relations and 10641552 unique ideals
Sun Feb 26 17:26:16 2023  reduce to 3507987 relations and 3365469 ideals in 19 passes
Sun Feb 26 17:26:16 2023  max relations containing the same ideal: 103
Sun Feb 26 17:26:17 2023  removing 437946 relations and 396626 ideals in 41320 cliques
Sun Feb 26 17:26:17 2023  commencing in-memory singleton removal
Sun Feb 26 17:26:17 2023  begin with 3070041 relations and 3365469 unique ideals
Sun Feb 26 17:26:18 2023  reduce to 3022763 relations and 2920776 ideals in 11 passes
Sun Feb 26 17:26:18 2023  max relations containing the same ideal: 91
Sun Feb 26 17:26:18 2023  removing 321126 relations and 279806 ideals in 41320 cliques
Sun Feb 26 17:26:18 2023  commencing in-memory singleton removal
Sun Feb 26 17:26:18 2023  begin with 2701637 relations and 2920776 unique ideals
Sun Feb 26 17:26:19 2023  reduce to 2671479 relations and 2610378 ideals in 9 passes
Sun Feb 26 17:26:19 2023  max relations containing the same ideal: 86
Sun Feb 26 17:26:20 2023  relations with 0 large ideals: 155
Sun Feb 26 17:26:20 2023  relations with 1 large ideals: 466
Sun Feb 26 17:26:20 2023  relations with 2 large ideals: 7359
Sun Feb 26 17:26:20 2023  relations with 3 large ideals: 58894
Sun Feb 26 17:26:20 2023  relations with 4 large ideals: 248250
Sun Feb 26 17:26:20 2023  relations with 5 large ideals: 585425
Sun Feb 26 17:26:20 2023  relations with 6 large ideals: 795717
Sun Feb 26 17:26:20 2023  relations with 7+ large ideals: 975213
Sun Feb 26 17:26:20 2023  commencing 2-way merge
Sun Feb 26 17:26:21 2023  reduce to 1491635 relation sets and 1430534 unique ideals
Sun Feb 26 17:26:21 2023  commencing full merge
Sun Feb 26 17:26:37 2023  memory use: 164.4 MB
Sun Feb 26 17:26:38 2023  found 744448 cycles, need 736734
Sun Feb 26 17:26:38 2023  weight of 736734 cycles is about 51878289 (70.42/cycle)
Sun Feb 26 17:26:38 2023  distribution of cycle lengths:
Sun Feb 26 17:26:38 2023  1 relations: 92302
Sun Feb 26 17:26:38 2023  2 relations: 87229
Sun Feb 26 17:26:38 2023  3 relations: 85338
Sun Feb 26 17:26:38 2023  4 relations: 76196
Sun Feb 26 17:26:38 2023  5 relations: 66915
Sun Feb 26 17:26:38 2023  6 relations: 56337
Sun Feb 26 17:26:38 2023  7 relations: 49727
Sun Feb 26 17:26:38 2023  8 relations: 41920
Sun Feb 26 17:26:38 2023  9 relations: 35108
Sun Feb 26 17:26:38 2023  10+ relations: 145662
Sun Feb 26 17:26:38 2023  heaviest cycle: 23 relations
Sun Feb 26 17:26:38 2023  commencing cycle optimization
Sun Feb 26 17:26:38 2023  start with 4406659 relations
Sun Feb 26 17:26:43 2023  pruned 81069 relations
Sun Feb 26 17:26:43 2023  memory use: 151.7 MB
Sun Feb 26 17:26:43 2023  distribution of cycle lengths:
Sun Feb 26 17:26:43 2023  1 relations: 92302
Sun Feb 26 17:26:43 2023  2 relations: 88955
Sun Feb 26 17:26:43 2023  3 relations: 87774
Sun Feb 26 17:26:43 2023  4 relations: 77387
Sun Feb 26 17:26:43 2023  5 relations: 67867
Sun Feb 26 17:26:43 2023  6 relations: 56885
Sun Feb 26 17:26:43 2023  7 relations: 49899
Sun Feb 26 17:26:43 2023  8 relations: 41606
Sun Feb 26 17:26:43 2023  9 relations: 34732
Sun Feb 26 17:26:43 2023  10+ relations: 139327
Sun Feb 26 17:26:43 2023  heaviest cycle: 23 relations
Sun Feb 26 17:26:44 2023  RelProcTime: 107
Sun Feb 26 17:26:44 2023  elapsed time 00:01:47
Sun Feb 26 17:26:44 2023  
Sun Feb 26 17:26:44 2023  
Sun Feb 26 17:26:44 2023  Msieve v. 1.52 (SVN 927)
Sun Feb 26 17:26:44 2023  random seeds: a1f5107c 7704e9b8
Sun Feb 26 17:26:44 2023  factoring 234178770891644550836148875472440788716030051789533433993738763283268501354766732243571304874649593037153449114821161147 (120 digits)
Sun Feb 26 17:26:44 2023  searching for 15-digit factors
Sun Feb 26 17:26:44 2023  commencing number field sieve (120-digit input)
Sun Feb 26 17:26:44 2023  R0: -130029679339722437080250
Sun Feb 26 17:26:44 2023  R1: 2521360308367
Sun Feb 26 17:26:44 2023  A0: -24177933023867938399589721279
Sun Feb 26 17:26:44 2023  A1: -9786843796498353798264594
Sun Feb 26 17:26:44 2023  A2: 48720722186701297552
Sun Feb 26 17:26:44 2023  A3: 1266326357040230
Sun Feb 26 17:26:44 2023  A4: -4103362017
Sun Feb 26 17:26:44 2023  A5: 6300
Sun Feb 26 17:26:44 2023  skew 144286.97, size 1.177e-011, alpha -6.024, combined = 2.356e-010 rroots = 3
Sun Feb 26 17:26:44 2023  
Sun Feb 26 17:26:44 2023  commencing linear algebra
Sun Feb 26 17:26:45 2023  read 736734 cycles
Sun Feb 26 17:26:45 2023  cycles contain 2589555 unique relations
Sun Feb 26 17:26:51 2023  read 2589555 relations
Sun Feb 26 17:26:53 2023  using 20 quadratic characters above 134216808
Sun Feb 26 17:27:00 2023  building initial matrix
Sun Feb 26 17:27:13 2023  memory use: 330.4 MB
Sun Feb 26 17:27:14 2023  read 736734 cycles
Sun Feb 26 17:27:14 2023  matrix is 736556 x 736734 (222.4 MB) with weight 70202786 (95.29/col)
Sun Feb 26 17:27:14 2023  sparse part has weight 50187709 (68.12/col)
Sun Feb 26 17:27:17 2023  filtering completed in 2 passes
Sun Feb 26 17:27:17 2023  matrix is 734919 x 735097 (222.2 MB) with weight 70132699 (95.41/col)
Sun Feb 26 17:27:17 2023  sparse part has weight 50165423 (68.24/col)
Sun Feb 26 17:27:18 2023  matrix starts at (0, 0)
Sun Feb 26 17:27:19 2023  matrix is 734919 x 735097 (222.2 MB) with weight 70132699 (95.41/col)
Sun Feb 26 17:27:19 2023  sparse part has weight 50165423 (68.24/col)
Sun Feb 26 17:27:19 2023  saving the first 48 matrix rows for later
Sun Feb 26 17:27:19 2023  matrix includes 64 packed rows
Sun Feb 26 17:27:19 2023  matrix is 734871 x 735097 (214.0 MB) with weight 55563577 (75.59/col)
Sun Feb 26 17:27:19 2023  sparse part has weight 48750969 (66.32/col)
Sun Feb 26 17:27:19 2023  using block size 8192 and superblock size 12582912 for processor cache size 131072 kB
Sun Feb 26 17:27:21 2023  commencing Lanczos iteration (32 threads)
Sun Feb 26 17:27:21 2023  memory use: 167.4 MB
Sun Feb 26 17:27:23 2023  linear algebra at 0.4%, ETA 0h 8m
Sun Feb 26 17:33:38 2023  lanczos halted after 11621 iterations (dim = 734871)
Sun Feb 26 17:33:38 2023  recovered 31 nontrivial dependencies
Sun Feb 26 17:33:38 2023  BLanczosTime: 414
Sun Feb 26 17:33:38 2023  elapsed time 00:06:54
Sun Feb 26 17:33:38 2023  
Sun Feb 26 17:33:38 2023  
Sun Feb 26 17:33:38 2023  Msieve v. 1.52 (SVN 927)
Sun Feb 26 17:33:38 2023  random seeds: eced9258 2e364469
Sun Feb 26 17:33:38 2023  factoring 234178770891644550836148875472440788716030051789533433993738763283268501354766732243571304874649593037153449114821161147 (120 digits)
Sun Feb 26 17:33:39 2023  searching for 15-digit factors
Sun Feb 26 17:33:39 2023  commencing number field sieve (120-digit input)
Sun Feb 26 17:33:39 2023  R0: -130029679339722437080250
Sun Feb 26 17:33:39 2023  R1: 2521360308367
Sun Feb 26 17:33:39 2023  A0: -24177933023867938399589721279
Sun Feb 26 17:33:39 2023  A1: -9786843796498353798264594
Sun Feb 26 17:33:39 2023  A2: 48720722186701297552
Sun Feb 26 17:33:39 2023  A3: 1266326357040230
Sun Feb 26 17:33:39 2023  A4: -4103362017
Sun Feb 26 17:33:39 2023  A5: 6300
Sun Feb 26 17:33:39 2023  skew 144286.97, size 1.177e-011, alpha -6.024, combined = 2.356e-010 rroots = 3
Sun Feb 26 17:33:39 2023  
Sun Feb 26 17:33:39 2023  commencing square root phase
Sun Feb 26 17:33:39 2023  reading relations for dependency 1
Sun Feb 26 17:33:39 2023  read 366858 cycles
Sun Feb 26 17:33:39 2023  cycles contain 1292234 unique relations
Sun Feb 26 17:33:43 2023  read 1292234 relations
Sun Feb 26 17:33:45 2023  multiplying 1292234 relations
Sun Feb 26 17:34:14 2023  multiply complete, coefficients have about 56.46 million bits
Sun Feb 26 17:34:15 2023  initial square root is modulo 127638223
Sun Feb 26 17:34:55 2023  GCD is 1, no factor found
Sun Feb 26 17:34:55 2023  reading relations for dependency 2
Sun Feb 26 17:34:55 2023  read 367199 cycles
Sun Feb 26 17:34:55 2023  cycles contain 1294276 unique relations
Sun Feb 26 17:34:58 2023  read 1294276 relations
Sun Feb 26 17:35:01 2023  multiplying 1294276 relations
Sun Feb 26 17:35:30 2023  multiply complete, coefficients have about 56.55 million bits
Sun Feb 26 17:35:30 2023  initial square root is modulo 131404657
Sun Feb 26 17:36:10 2023  sqrtTime: 151
Sun Feb 26 17:36:10 2023  prp55 factor: 3378113537216977849166594361095003445333812448129403573
Sun Feb 26 17:36:10 2023  prp65 factor: 69322350569830221875794364969519811732711534727872640117725086639
Sun Feb 26 17:36:10 2023  elapsed time 00:02:32
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)

89×10187-629

c159

name 名前Bob Backstrom
date 日付April 1, 2023 05:08:17 UTC 2023 年 4 月 1 日 (土) 14 時 8 分 17 秒 (日本時間)
composite number 合成数
270768619403136002351454749971124266997167286906924508603506813859070264638725598564150616131993548022631085556496134019448762731468787912648134784661757378111<159>
prime factors 素因数
91148525356313255091093617214200643089982486579171811919<56>
2970630828580724286497278388304037506012321496296013380245198702779572309797233312979673516231951620369<103>
factorization results 素因数分解の結果
Number: n
N=270768619403136002351454749971124266997167286906924508603506813859070264638725598564150616131993548022631085556496134019448762731468787912648134784661757378111  ( 159 digits)
SNFS difficulty: 188 digits.
Divisors found:

Sat Apr  1 15:57:35 2023  prp56 factor: 91148525356313255091093617214200643089982486579171811919
Sat Apr  1 15:57:35 2023  prp103 factor: 2970630828580724286497278388304037506012321496296013380245198702779572309797233312979673516231951620369
Sat Apr  1 15:57:35 2023  elapsed time 01:19:54 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.085).
Factorization parameters were as follows:
#
# N = 89x10^187-62 = 98(186)2
#
n: 270768619403136002351454749971124266997167286906924508603506813859070264638725598564150616131993548022631085556496134019448762731468787912648134784661757378111
m: 10000000000000000000000000000000000000
deg: 5
c5: 4450
c0: -31
skew: 0.37
# Murphy_E = 2.8e-11
type: snfs
lss: 1
rlim: 9800000
alim: 9800000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9800000/9800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 30500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2212531 hash collisions in 15985231 relations (14631590 unique)
Msieve: matrix is 1574071 x 1574296 (443.6 MB)

Sieving start time: 2023/04/01 04:29:58
Sieving end time  : 2023/04/01 14:37:24

Total sieving time: 10hrs 7min 26secs.

Total relation processing time: 1hrs 13min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 19sec.

Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9800000,9800000,27,27,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 28, 2023 09:16:26 UTC 2023 年 3 月 28 日 (火) 18 時 16 分 26 秒 (日本時間)

89×10189-629

c154

name 名前Bob Backstrom
date 日付April 4, 2023 14:39:29 UTC 2023 年 4 月 4 日 (火) 23 時 39 分 29 秒 (日本時間)
composite number 合成数
6882326452316281024819289740319140279772944902675032729304667266715566494039803053008980495943498835429419023853239119753960648276839715727481121808484477<154>
prime factors 素因数
26114499365824660968676420506811954272292044829408022539<56>
263544261596031035334473271789868822477998387654943396010098755955086503769392677061404699344942743<99>
factorization results 素因数分解の結果
Number: n
N=6882326452316281024819289740319140279772944902675032729304667266715566494039803053008980495943498835429419023853239119753960648276839715727481121808484477  ( 154 digits)
SNFS difficulty: 191 digits.
Divisors found:

Wed Apr  5 00:19:10 2023  prp56 factor: 26114499365824660968676420506811954272292044829408022539
Wed Apr  5 00:19:10 2023  prp99 factor: 263544261596031035334473271789868822477998387654943396010098755955086503769392677061404699344942743
Wed Apr  5 00:19:10 2023  elapsed time 01:39:05 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.084).
Factorization parameters were as follows:
#
# N = 89x10^189-62 = 98(188)2
#
n: 6882326452316281024819289740319140279772944902675032729304667266715566494039803053008980495943498835429419023853239119753960648276839715727481121808484477
m: 50000000000000000000000000000000000000
deg: 5
c5: 712
c0: -155
skew: 0.74
# Murphy_E = 2.29e-11
type: snfs
lss: 1
rlim: 10800000
alim: 10800000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10800000/10800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 31000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2134643 hash collisions in 15340662 relations (14013597 unique)
Msieve: matrix is 1775752 x 1775978 (500.5 MB)

Sieving start time: 2023/04/04 11:19:20
Sieving end time  : 2023/04/04 22:39:50

Total sieving time: 11hrs 20min 30secs.

Total relation processing time: 1hrs 30min 32sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 41sec.

Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,10800000,10800000,27,27,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 2, 2023 07:43:02 UTC 2023 年 4 月 2 日 (日) 16 時 43 分 2 秒 (日本時間)

89×10191-629

c143

name 名前Bob Backstrom
date 日付April 11, 2023 15:09:13 UTC 2023 年 4 月 12 日 (水) 0 時 9 分 13 秒 (日本時間)
composite number 合成数
67894856847682546625333354665676806985172152477481793109315298700451349554572764935773746668003624965985290415722580783477289512735293131777569<143>
prime factors 素因数
292865105441532316320372487478075785827702032863831<51>
231829793260355142054276730147126878308084164046849617309301442500086488976153185935008739399<93>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 67894856847682546625333354665676806985172152477481793109315298700451349554572764935773746668003624965985290415722580783477289512735293131777569 (143 digits)
Using B1=30890000, B2=144289975846, polynomial Dickson(12), sigma=1:4137771225
Step 1 took 62175ms
Step 2 took 21533ms
********** Factor found in step 2: 292865105441532316320372487478075785827702032863831
Found prime factor of 51 digits: 292865105441532316320372487478075785827702032863831
Prime cofactor 231829793260355142054276730147126878308084164046849617309301442500086488976153185935008739399 has 93 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 1, 2023 20:49:28 UTC 2023 年 3 月 2 日 (木) 5 時 49 分 28 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovApril 10, 2023 23:56:41 UTC 2023 年 4 月 11 日 (火) 8 時 56 分 41 秒 (日本時間)

89×10196-629

c155

name 名前Eric Jeancolas
date 日付July 15, 2023 10:16:51 UTC 2023 年 7 月 15 日 (土) 19 時 16 分 51 秒 (日本時間)
composite number 合成数
14627366796990633587460686104047744266261791006436339276815334770208885665746342959732958027504949404567010477148690535167634887125358441811372971274696313<155>
prime factors 素因数
66549319358370412570412064806835064448003984360449069535831134014701<68>
219797391438697543030820360085146560938898778941734264664788822969675861009910974065213<87>
factorization results 素因数分解の結果
14627366796990633587460686104047744266261791006436339276815334770208885665746342959732958027504949404567010477148690535167634887125358441811372971274696313=66549319358370412570412064806835064448003984360449069535831134014701*219797391438697543030820360085146560938898778941734264664788822969675861009910974065213

cado polynomial
n: 14627366796990633587460686104047744266261791006436339276815334770208885665746342959732958027504949404567010477148690535167634887125358441811372971274696313
skew: 0.59
type: snfs
c0: -31
c5: 445
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 445*x^5-31
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13800000
tasks.lim1 = 13800000
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 = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 219797391438697543030820360085146560938898778941734264664788822969675861009910974065213 66549319358370412570412064806835064448003984360449069535831134014701
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 2700.17/150.822
Info:HTTP server: Got notification to stop serving Workunits
Info:Generate Free Relations: Total cpu/real time for freerel: 76.71/6.95489
Info:Square Root: Total cpu/real time for sqrt: 2700.17/150.822
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 108.56/85.4209
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 84.9s
Info:Quadratic Characters: Total cpu/real time for characters: 64.6/12.4969
Info:Filtering - Singleton removal: Total cpu/real time for purge: 326.58/219.168
Info:Filtering - Merging: Merged matrix has 2385185 rows and total weight 407892523 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 533.03/31.3739
Info:Filtering - Merging: Total cpu/real time for replay: 44.82/39.3349
Info:Generate Factor Base: Total cpu/real time for makefb: 2.1/0.33229
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 26868972
Info:Lattice Sieving: Average J: 3790.43 for 1671884 special-q, max bucket fill -bkmult 1.0,1s:1.127850
Info:Lattice Sieving: Total time: 526838s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 444.38/322.664
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 228.3s
Info:Linear Algebra: Total cpu/real time for bwc: 78064.1/9798.69
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 51338.07, WCT time 6447.38, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.04, comm-wait 0.0 (74752 iterations)
Info:Linear Algebra: Lingen CPU time 449.85, WCT time 28.92
Info:Linear Algebra: Mksol: CPU time 25788.42,  WCT time 3264.54, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.04, comm-wait 0.0 (37376 iterations)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 1.08213e+06/54300
Info:root: Cleaning up computation data in /tmp/cado.t44_vux6
219797391438697543030820360085146560938898778941734264664788822969675861009910974065213 66549319358370412570412064806835064448003984360449069535831134014701
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)
403e61000Dmitry DomanovMarch 1, 2023 20:49:36 UTC 2023 年 3 月 2 日 (木) 5 時 49 分 36 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovApril 10, 2023 23:56:53 UTC 2023 年 4 月 11 日 (火) 8 時 56 分 53 秒 (日本時間)

89×10198-629

c199

name 名前Bob Backstrom
date 日付May 22, 2023 20:30:06 UTC 2023 年 5 月 23 日 (火) 5 時 30 分 6 秒 (日本時間)
composite number 合成数
1648148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148147<199>
prime factors 素因数
69609947946590269114968902267435176064867035734671462066526945953188025594212397929<83>
23676905338483018123600412377012587877649688274452584839833263736433081217169996170941651679737282573389087841286843<116>
factorization results 素因数分解の結果
Number: n
N=1648148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148147  ( 199 digits)
SNFS difficulty: 199 digits.
Divisors found:

Wed May  3 18:02:58 2023  prp83 factor: 69609947946590269114968902267435176064867035734671462066526945953188025594212397929
Wed May  3 18:02:58 2023  prp116 factor: 23676905338483018123600412377012587877649688274452584839833263736433081217169996170941651679737282573389087841286843
Wed May  3 18:02:58 2023  elapsed time 03:35:40 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.089).
Factorization parameters were as follows:
#
# N = 9x10^198-62 = 98(197)2
#
n: 1648148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148147
m: 1000000000000000000000000000000000000000
deg: 5
c5: 44500
c0: -31
skew: 0.23
# Murphy_E = 9.976e-12
type: snfs
lss: 1
rlim: 14900000
alim: 14900000
lpbr: 27
lpba: 27
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14900000/14900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 55/55
Sieved  special-q in [100000, 61850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2622117 hash collisions in 15948173 relations (14024855 unique)
Msieve: matrix is 2591266 x 2591491 (734.2 MB)

Sieving start time: 2023/05/02 13:15:40
Sieving end time  : 2023/05/03 14:26:55

Total sieving time: 25hrs 11min 15secs.

Total relation processing time: 3hrs 27min 43sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 33sec.

Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,14900000,14900000,27,27,55,55,2.5,2.5,100000
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)
403e61000Dmitry DomanovMarch 1, 2023 20:49:44 UTC 2023 年 3 月 2 日 (木) 5 時 49 分 44 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovApril 10, 2023 23:57:08 UTC 2023 年 4 月 11 日 (火) 8 時 57 分 8 秒 (日本時間)

89×10202-629

c104

name 名前Dmitry Domanov
date 日付February 21, 2023 12:37:13 UTC 2023 年 2 月 21 日 (火) 21 時 37 分 13 秒 (日本時間)
composite number 合成数
43694943581997492433853625640184179359918200074921408069667696740117532740073646882734268026713608819167<104>
prime factors 素因数
183182510866351192185492226179550814499484168439<48>
238532288783163631024739747854531512533049925649219032153<57>
factorization results 素因数分解の結果
N=43694943581997492433853625640184179359918200074921408069667696740117532740073646882734268026713608819167
  ( 104 digits)
Divisors found:
 r1=183182510866351192185492226179550814499484168439 (pp48)
 r2=238532288783163631024739747854531512533049925649219032153 (pp57)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.08 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 43694943581997492433853625640184179359918200074921408069667696740117532740073646882734268026713608819167
skew: 541085.15
c0: -1225868312285927957899958769
c1: -2385038826969994272086
c2: 54518915420231263
c3: 10855465972
c4: 32340
Y0: -6062789104134367170590926
Y1: 54961972204583
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, 1740001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 276401 x 276630
Total sieving time: 0.00 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 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: 0.08 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)

89×10206-629

c171

composite cofactor 合成数の残り
163524114895861998862964110175683193907847314151302738312843292268374066946051151368093978725098853820264275591176399930274863525379902613372907040991331243855876033227067<171>

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 DomanovMarch 13, 2023 17:46:00 UTC 2023 年 3 月 14 日 (火) 2 時 46 分 0 秒 (日本時間)
4511e62792 / 40381000Dmitry DomanovMarch 30, 2023 16:21:03 UTC 2023 年 3 月 31 日 (金) 1 時 21 分 3 秒 (日本時間)
1792Dmitry DomanovFebruary 14, 2024 15:00:11 UTC 2024 年 2 月 15 日 (木) 0 時 0 分 11 秒 (日本時間)

89×10207-629

c175

composite cofactor 合成数の残り
9847173920050895070719407719499855099985340779814058914351448670053431023081315983839997669898798134622122545482555049785886690391723098899818173132552519619667450675465299913<175>

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 DomanovMarch 13, 2023 17:46:05 UTC 2023 年 3 月 14 日 (火) 2 時 46 分 5 秒 (日本時間)
4511e62792 / 40381000Dmitry DomanovMarch 30, 2023 16:21:14 UTC 2023 年 3 月 31 日 (金) 1 時 21 分 14 秒 (日本時間)
1792Dmitry DomanovFebruary 14, 2024 15:00:18 UTC 2024 年 2 月 15 日 (木) 0 時 0 分 18 秒 (日本時間)

89×10208-629

c194

name 名前Dmitry Domanov
date 日付March 4, 2023 11:21:04 UTC 2023 年 3 月 4 日 (土) 20 時 21 分 4 秒 (日本時間)
composite number 合成数
40697930475493223780116845097288540323724696943483380373464226801314202541457135386450023623304716214371539426627374551027944378236967822655132650677250009510561909453140915488204619123516131613<194>
prime factors 素因数
13946065615813052572250600327863189<35>
composite cofactor 合成数の残り
2918237415242545690777316055710535222139446167635611064159378403278511719897132759432848377875300312832453882333715990827590365436430314888515025967162505696617<160>
factorization results 素因数分解の結果
Resuming ECM residue saved by @747eea60f274 with GMP-ECM 7.0.5-dev on Thu Mar  2 13:32:09 2023 
Input number is 40697930475493223780116845097288540323724696943483380373464226801314202541457135386450023623304716214371539426627374551027944378236967822655132650677250009510561909453140915488204619123516131613 (194 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3251565143
Step 1 took 0ms
Step 2 took 5001ms
********** Factor found in step 2: 13946065615813052572250600327863189
Found prime factor of 35 digits: 13946065615813052572250600327863189
Composite cofactor 2918237415242545690777316055710535222139446167635611064159378403278511719897132759432848377875300312832453882333715990827590365436430314888515025967162505696617 has 160 digits

c160

name 名前Dmitry Domanov
date 日付February 15, 2024 15:23:18 UTC 2024 年 2 月 16 日 (金) 0 時 23 分 18 秒 (日本時間)
composite number 合成数
2918237415242545690777316055710535222139446167635611064159378403278511719897132759432848377875300312832453882333715990827590365436430314888515025967162505696617<160>
prime factors 素因数
116163909580487364671880032987733732810926017<45>
25121721761788367755914337259416685617333003167882298419717942458442044399810501148328339494219572499637886982821801<116>
factorization results 素因数分解の結果
Resuming ECM residue saved by @bdacffd6ab8d with GMP-ECM 7.0.5-dev on Thu Feb 15 07:38:42 2024 
Input number is 2918237415242545690777316055710535222139446167635611064159378403278511719897132759432848377875300312832453882333715990827590365436430314888515025967162505696617 (160 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1451134125
Step 1 took 1ms
Step 2 took 6931ms
********** Factor found in step 2: 116163909580487364671880032987733732810926017
Found prime factor of 45 digits: 116163909580487364671880032987733732810926017
Prime cofactor 25121721761788367755914337259416685617333003167882298419717942458442044399810501148328339494219572499637886982821801 has 116 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)
403e61792Dmitry DomanovMarch 13, 2023 17:46:08 UTC 2023 年 3 月 14 日 (火) 2 時 46 分 8 秒 (日本時間)
4511e62792 / 40381000Dmitry DomanovMarch 30, 2023 16:21:23 UTC 2023 年 3 月 31 日 (金) 1 時 21 分 23 秒 (日本時間)
1792Dmitry DomanovFebruary 14, 2024 15:00:28 UTC 2024 年 2 月 15 日 (木) 0 時 0 分 28 秒 (日本時間)

89×10209-629

c183

name 名前Dmitry Domanov
date 日付April 1, 2023 08:37:50 UTC 2023 年 4 月 1 日 (土) 17 時 37 分 50 秒 (日本時間)
composite number 合成数
240206656807932642859392950209368387025096729415398283271875247563889291454672818490446316437006772841902882094734696746212908753904447208863854205587293703777384801763138365259163439<183>
prime factors 素因数
44496526100531725930068220728357779830987<41>
5398323821172687323668857640745123218883026504329520600996825391070360026816234073416925595070875953212818472956824101323345257615479102657197<142>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4282084450
Step 1 took 40732ms
Step 2 took 14100ms
********** Factor found in step 2: 44496526100531725930068220728357779830987
Found probable prime factor of 41 digits: 44496526100531725930068220728357779830987
Probable prime cofactor 5398323821172687323668857640745123218883026504329520600996825391070360026816234073416925595070875953212818472956824101323345257615479102657197 has 142 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)
403e61792Dmitry DomanovMarch 13, 2023 17:46:11 UTC 2023 年 3 月 14 日 (火) 2 時 46 分 11 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMarch 31, 2023 22:03:15 UTC 2023 年 4 月 1 日 (土) 7 時 3 分 15 秒 (日本時間)

89×10210-629

c169

name 名前Dmitry Domanov
date 日付March 3, 2023 07:25:07 UTC 2023 年 3 月 3 日 (金) 16 時 25 分 7 秒 (日本時間)
composite number 合成数
2894890703407070819642639852499444376969639321755172505443674525764073107522641121055909086849681329979737508673078325639757538998168376640084151033533746667356129067103<169>
prime factors 素因数
2594293215636752680349829019868383209401<40>
composite cofactor 合成数の残り
1115868740649093671593995688609118229410082340374319549698381024994154952392701956272142800174743042558906706434739879125377778903<130>
factorization results 素因数分解の結果
Resuming ECM residue saved by @747eea60f274 with GMP-ECM 7.0.5-dev on Thu Mar  2 15:02:24 2023 
Input number is 2894890703407070819642639852499444376969639321755172505443674525764073107522641121055909086849681329979737508673078325639757538998168376640084151033533746667356129067103 (169 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3821200107
Step 1 took 0ms
Step 2 took 4142ms
********** Factor found in step 2: 2594293215636752680349829019868383209401
Found prime factor of 40 digits: 2594293215636752680349829019868383209401
Composite cofactor 1115868740649093671593995688609118229410082340374319549698381024994154952392701956272142800174743042558906706434739879125377778903 has 130 digits

c130

name 名前Lionel Debroux
date 日付March 9, 2023 13:43:23 UTC 2023 年 3 月 9 日 (木) 22 時 43 分 23 秒 (日本時間)
composite number 合成数
1115868740649093671593995688609118229410082340374319549698381024994154952392701956272142800174743042558906706434739879125377778903<130>
prime factors 素因数
71471165538683125869162823134898342624072466763833<50>
15612852151475545010411752602019312340097709948752655158711629184128875415739791<80>
factorization results 素因数分解の結果
15612852151475545010411752602019312340097709948752655158711629184128875415739791 71471165538683125869162823134898342624072466763833
software ソフトウェア
CADO-NFS
execution environment 実行環境
10 x Xeon L5640, Debian sid amd64

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 5, 2023 15:55:58 UTC 2023 年 3 月 6 日 (月) 0 時 55 分 58 秒 (日本時間)
4511e64480Ignacio SantosMarch 6, 2023 14:08:32 UTC 2023 年 3 月 6 日 (月) 23 時 8 分 32 秒 (日本時間)

89×10211-629

c200

composite cofactor 合成数の残り
27306978189351102918073326226955973781782650452692962189149903535783187203420184534545902811918795504655446149997165630725979652221061484318076406975039239643893501511962589050228542153733200976502611<200>

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 DomanovMarch 13, 2023 17:46:15 UTC 2023 年 3 月 14 日 (火) 2 時 46 分 15 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovApril 14, 2023 07:30:50 UTC 2023 年 4 月 14 日 (金) 16 時 30 分 50 秒 (日本時間)
1792Dmitry DomanovFebruary 14, 2024 15:00:38 UTC 2024 年 2 月 15 日 (木) 0 時 0 分 38 秒 (日本時間)

89×10212-629

c201

composite cofactor 合成数の残り
359600901158053962136843161650721234044355894031772466960161971075725744857488020792738323338537482244855853851790867318892304020104176645991957081052902014192991024414449479062184284047682772803606111<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)
403e61792Dmitry DomanovMarch 13, 2023 17:46:18 UTC 2023 年 3 月 14 日 (火) 2 時 46 分 18 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovApril 14, 2023 07:31:01 UTC 2023 年 4 月 14 日 (金) 16 時 31 分 1 秒 (日本時間)
1792Dmitry DomanovFebruary 14, 2024 15:00:45 UTC 2024 年 2 月 15 日 (木) 0 時 0 分 45 秒 (日本時間)

89×10213-629

c211

composite cofactor 合成数の残り
2351138585090082950282664975960268399640724890368256987372536587943149997358271252707771965974533734876102921751994505204205632165689227030168542294077244148570824747714904633592222750567971680667829027315475247<211>

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 DomanovMarch 13, 2023 17:46:21 UTC 2023 年 3 月 14 日 (火) 2 時 46 分 21 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovApril 14, 2023 07:31:08 UTC 2023 年 4 月 14 日 (金) 16 時 31 分 8 秒 (日本時間)
1792Dmitry DomanovFebruary 14, 2024 15:00:55 UTC 2024 年 2 月 15 日 (木) 0 時 0 分 55 秒 (日本時間)

89×10215-629

c157

composite cofactor 合成数の残り
4959248491017837865393475915679962209666870738318553175508009454373180456148316045069316622824318869417272036971385076976846783391720055876721415734179097349<157>

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 DomanovMarch 13, 2023 17:46:25 UTC 2023 年 3 月 14 日 (火) 2 時 46 分 25 秒 (日本時間)
4511e62792 / 40381000Dmitry DomanovMarch 30, 2023 16:21:32 UTC 2023 年 3 月 31 日 (金) 1 時 21 分 32 秒 (日本時間)
1792Dmitry DomanovFebruary 14, 2024 15:01:03 UTC 2024 年 2 月 15 日 (木) 0 時 1 分 3 秒 (日本時間)

89×10216-629

c192

composite cofactor 合成数の残り
219501248534487149597113672182601218433598700560012035435635167124251248358948265976800842731953730959581290791247487236257002153297841615228601974191079396426262291644924603731926947416449139<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:46:29 UTC 2023 年 3 月 14 日 (火) 2 時 46 分 29 秒 (日本時間)
4511e62792 / 40381000Dmitry DomanovMarch 31, 2023 22:03:33 UTC 2023 年 4 月 1 日 (土) 7 時 3 分 33 秒 (日本時間)
1792Dmitry DomanovFebruary 14, 2024 15:01:13 UTC 2024 年 2 月 15 日 (木) 0 時 1 分 13 秒 (日本時間)

89×10220-629

c186

composite cofactor 合成数の残り
186398417878131693751996096827042360601378920184932830377225561614835856784148379276897354088582595665077010121401008137022267543342515401972918221844449547091262225304132859484253000809<186>

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 DomanovMarch 13, 2023 17:46:32 UTC 2023 年 3 月 14 日 (火) 2 時 46 分 32 秒 (日本時間)
4511e62792 / 40381000Dmitry DomanovMarch 31, 2023 22:03:43 UTC 2023 年 4 月 1 日 (土) 7 時 3 分 43 秒 (日本時間)
1792Dmitry DomanovFebruary 14, 2024 15:01:21 UTC 2024 年 2 月 15 日 (木) 0 時 1 分 21 秒 (日本時間)

89×10221-629

c212

composite cofactor 合成数の残り
25074105357791953878970713624793867293456188243085388670820445450745126273008329131829888870565639868911743489547094581977978269175881003158297353326566250499534870446301811255521745449892546400297935649628816071<212>

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 DomanovMarch 13, 2023 17:46:36 UTC 2023 年 3 月 14 日 (火) 2 時 46 分 36 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovApril 14, 2023 07:31:16 UTC 2023 年 4 月 14 日 (金) 16 時 31 分 16 秒 (日本時間)
1792Dmitry DomanovFebruary 14, 2024 15:01:28 UTC 2024 年 2 月 15 日 (木) 0 時 1 分 28 秒 (日本時間)

89×10226-629

c206

composite cofactor 合成数の残り
40925550466614187385635486993614133273747913117609848497852339010488006381447881964267185203490911528832453988119269444181264253182607825247290225996216217790464608517773114225334196061178976187243676987279<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)
403e61792Dmitry DomanovMarch 13, 2023 17:46:39 UTC 2023 年 3 月 14 日 (火) 2 時 46 分 39 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovApril 14, 2023 07:31:25 UTC 2023 年 4 月 14 日 (金) 16 時 31 分 25 秒 (日本時間)
1792Dmitry DomanovFebruary 14, 2024 15:38:00 UTC 2024 年 2 月 15 日 (木) 0 時 38 分 0 秒 (日本時間)

89×10228-629

c222

name 名前Dmitry Domanov
date 日付April 17, 2023 06:41:44 UTC 2023 年 4 月 17 日 (月) 15 時 41 分 44 秒 (日本時間)
composite number 合成数
206558695326634583784437796410857462139195281579258476842771972573294254656226382537150985489446607578161357739176181630504992888044866850942088447569969936147786999996885373380580408860239151429400329054035954293490282293<222>
prime factors 素因数
33434372755972969021219343452647987985795183<44>
6178034109813930259376041907803586433800097540877973949112140866469973794245724729250738219866322114824338128419885984407496585013398838182228826847598314984925501026177012182171<178>
factorization results 素因数分解の結果
Resuming ECM residue saved by @ae5d10bcd9b4 with GMP-ECM 7.0.5-dev on Fri Apr 14 08:39:33 2023 
Input number is 206558695326634583784437796410857462139195281579258476842771972573294254656226382537150985489446607578161357739176181630504992888044866850942088447569969936147786999996885373380580408860239151429400329054035954293490282293 (222 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:723841157
Step 1 took 0ms
Step 2 took 16691ms
********** Factor found in step 2: 33434372755972969021219343452647987985795183
Found prime factor of 44 digits: 33434372755972969021219343452647987985795183
Prime cofactor 6178034109813930259376041907803586433800097540877973949112140866469973794245724729250738219866322114824338128419885984407496585013398838182228826847598314984925501026177012182171 has 178 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)
403e61792Dmitry DomanovMarch 13, 2023 17:46:42 UTC 2023 年 3 月 14 日 (火) 2 時 46 分 42 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovApril 14, 2023 07:31:32 UTC 2023 年 4 月 14 日 (金) 16 時 31 分 32 秒 (日本時間)

89×10229-629

c216

composite cofactor 合成数の残り
269851306232970750971551660057216604116730433255241602757656509833040684218778824286776102151441410391895470343598918739686459030163550684443214343563951831153195023849911363869327335778273451665067778687226840331907<216>

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 DomanovMarch 13, 2023 17:46:46 UTC 2023 年 3 月 14 日 (火) 2 時 46 分 46 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovApril 14, 2023 07:31:39 UTC 2023 年 4 月 14 日 (金) 16 時 31 分 39 秒 (日本時間)
1792Dmitry DomanovFebruary 14, 2024 15:38:08 UTC 2024 年 2 月 15 日 (木) 0 時 38 分 8 秒 (日本時間)

89×10231-629

c211

composite cofactor 合成数の残り
1225752802002218275676914220800046072319272256692496912236225862616066947362604093174700555207821832133089650888912743748113569344901577647792244762195800227815277180818636691022109428151112603833778251358338681<211>

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 DomanovMarch 13, 2023 17:46:49 UTC 2023 年 3 月 14 日 (火) 2 時 46 分 49 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovApril 14, 2023 07:31:47 UTC 2023 年 4 月 14 日 (金) 16 時 31 分 47 秒 (日本時間)
1792Dmitry DomanovFebruary 14, 2024 15:38:21 UTC 2024 年 2 月 15 日 (木) 0 時 38 分 21 秒 (日本時間)

89×10234-629

c183

composite cofactor 合成数の残り
264256348996593233833968743718345375365550008829276463569786100918415767542683564882309306255876349927422687017882151706470768235511782040623853057195107736447696553412282044400738053<183>

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 DomanovMarch 13, 2023 17:47:39 UTC 2023 年 3 月 14 日 (火) 2 時 47 分 39 秒 (日本時間)
4511e62792 / 40381000Dmitry DomanovMarch 31, 2023 22:03:53 UTC 2023 年 4 月 1 日 (土) 7 時 3 分 53 秒 (日本時間)
1792Dmitry DomanovFebruary 14, 2024 15:38:30 UTC 2024 年 2 月 15 日 (木) 0 時 38 分 30 秒 (日本時間)

89×10235-629

c159

composite cofactor 合成数の残り
207407848588048932546944469730294146334662290807462421114968839123859383117622836783606651546071297574685718893330093332352605237204061369492526523013632059467<159>

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 1, 2023 09:40:33 UTC 2023 年 3 月 1 日 (水) 18 時 40 分 33 秒 (日本時間)
4511e64480Ignacio SantosMarch 7, 2023 15:08:24 UTC 2023 年 3 月 8 日 (水) 0 時 8 分 24 秒 (日本時間)

89×10236-629

c235

name 名前Dmitry Domanov
date 日付March 4, 2023 11:20:04 UTC 2023 年 3 月 4 日 (土) 20 時 20 分 4 秒 (日本時間)
composite number 合成数
5957161981258366800535475234270414993306559571619812583668005354752342704149933065595716198125836680053547523427041499330655957161981258366800535475234270414993306559571619812583668005354752342704149933065595716198125836680053547523427<235>
prime factors 素因数
146285014270476407224674927593391244586653<42>
40722981851331408273384140082869521837939766375282384640906244304618340371488472263575756300658527319094897802239166713765690406415528463882691758228744606463545772661917280043694804623575055359<194>
factorization results 素因数分解の結果
Resuming ECM residue saved by @747eea60f274 with GMP-ECM 7.0.5-dev on Thu Mar  2 11:54:27 2023 
Input number is 5957161981258366800535475234270414993306559571619812583668005354752342704149933065595716198125836680053547523427041499330655957161981258366800535475234270414993306559571619812583668005354752342704149933065595716198125836680053547523427 (235 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1086272935
Step 1 took 0ms
Step 2 took 6160ms
********** Factor found in step 2: 146285014270476407224674927593391244586653
Found prime factor of 42 digits: 146285014270476407224674927593391244586653
Prime cofactor 40722981851331408273384140082869521837939766375282384640906244304618340371488472263575756300658527319094897802239166713765690406415528463882691758228744606463545772661917280043694804623575055359 has 194 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)

89×10237-629

c221

composite cofactor 合成数の残り
42777073907315394840217976125740772391056660260359831844411290387342663054914976310718538329519518613839254796407153954329024756427842098778951543121246305165801770147697090977552511443593635623179480488639863181123234667<221>

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 DomanovMarch 13, 2023 17:47:45 UTC 2023 年 3 月 14 日 (火) 2 時 47 分 45 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovApril 14, 2023 07:31:55 UTC 2023 年 4 月 14 日 (金) 16 時 31 分 55 秒 (日本時間)
1792Dmitry DomanovFebruary 14, 2024 15:38:43 UTC 2024 年 2 月 15 日 (木) 0 時 38 分 43 秒 (日本時間)

89×10238-629

c232

composite cofactor 合成数の残り
6267534042674526633223950075725191364363429595191525347506241865321791887701113723898167867406472300717804476909425724728693591964745304106455910764174228939441269199023656222743709223265069465192446886275707470440020748495393946979<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:47:50 UTC 2023 年 3 月 14 日 (火) 2 時 47 分 50 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovMarch 29, 2023 23:33:12 UTC 2023 年 3 月 30 日 (木) 8 時 33 分 12 秒 (日本時間)
1792Dmitry DomanovFebruary 13, 2024 19:41:54 UTC 2024 年 2 月 14 日 (水) 4 時 41 分 54 秒 (日本時間)

89×10239-629

c206

composite cofactor 合成数の残り
38293654038472529004909490174407347712394119774963116733839374118003752071202484796269584312182049929742110139425329893640124547302288123138341562768287719763112995680028643692472194085735101498864124434231<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)
403e61792Dmitry DomanovMarch 13, 2023 17:47:53 UTC 2023 年 3 月 14 日 (火) 2 時 47 分 53 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovApril 14, 2023 07:32:03 UTC 2023 年 4 月 14 日 (金) 16 時 32 分 3 秒 (日本時間)
1792Dmitry DomanovFebruary 14, 2024 15:38:51 UTC 2024 年 2 月 15 日 (木) 0 時 38 分 51 秒 (日本時間)

89×10240-629

c219

composite cofactor 合成数の残り
207347554627138079811360246771987452583298992337468409211551642094088126886672126454695268211715305484312782215012501969044142472932458758944196022494981317625073474560851545820747229369721655909630150804220221122258309<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:47:57 UTC 2023 年 3 月 14 日 (火) 2 時 47 分 57 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovApril 14, 2023 07:32:11 UTC 2023 年 4 月 14 日 (金) 16 時 32 分 11 秒 (日本時間)
1792Dmitry DomanovFebruary 14, 2024 15:39:00 UTC 2024 年 2 月 15 日 (木) 0 時 39 分 0 秒 (日本時間)

89×10241-629

c209

name 名前Dmitry Domanov
date 日付March 4, 2023 11:20:22 UTC 2023 年 3 月 4 日 (土) 20 時 20 分 22 秒 (日本時間)
composite number 合成数
27998209275872680848724502087288074454452402954303793295101331371501288077971331255383170320699893002240157406175696179035927791285321164280155331813784719782285335262761429025034834126988084098520246045782027<209>
prime factors 素因数
1109334722740935951096443544286209389<37>
composite cofactor 合成数の残り
25238738770111616441062923624127355242469550833998542354670729816638173774384713594272754217794302262892984330905854009071033908964912323073786960849602385387290940166854743<173>
factorization results 素因数分解の結果
Resuming ECM residue saved by @747eea60f274 with GMP-ECM 7.0.5-dev on Thu Mar  2 12:04:47 2023 
Input number is 27998209275872680848724502087288074454452402954303793295101331371501288077971331255383170320699893002240157406175696179035927791285321164280155331813784719782285335262761429025034834126988084098520246045782027 (209 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2804183539
Step 1 took 0ms
Step 2 took 5149ms
********** Factor found in step 2: 1109334722740935951096443544286209389
Found prime factor of 37 digits: 1109334722740935951096443544286209389
Composite cofactor 25238738770111616441062923624127355242469550833998542354670729816638173774384713594272754217794302262892984330905854009071033908964912323073786960849602385387290940166854743 has 173 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:48:00 UTC 2023 年 3 月 14 日 (火) 2 時 48 分 0 秒 (日本時間)
4511e62792 / 40381000Dmitry DomanovMarch 30, 2023 16:21:46 UTC 2023 年 3 月 31 日 (金) 1 時 21 分 46 秒 (日本時間)
1792Dmitry DomanovFebruary 14, 2024 15:39:08 UTC 2024 年 2 月 15 日 (木) 0 時 39 分 8 秒 (日本時間)

89×10242-629

c181

composite cofactor 合成数の残り
2054356014151790826548219916123122772655764489808536232755545408991076670837775491025678178692980637744983490734451182500261784989934136934801214014016647252969128400986076531824271<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)
403e61792Dmitry DomanovMarch 13, 2023 17:48:03 UTC 2023 年 3 月 14 日 (火) 2 時 48 分 3 秒 (日本時間)
4511e62792 / 40381000Dmitry DomanovMarch 31, 2023 22:04:09 UTC 2023 年 4 月 1 日 (土) 7 時 4 分 9 秒 (日本時間)
1792Dmitry DomanovFebruary 14, 2024 15:39:15 UTC 2024 年 2 月 15 日 (木) 0 時 39 分 15 秒 (日本時間)

89×10243-629

c215

name 名前Dmitry Domanov
date 日付April 17, 2023 06:42:04 UTC 2023 年 4 月 17 日 (月) 15 時 42 分 4 秒 (日本時間)
composite number 合成数
83395471788999261970056393482584209669920559144357973097380584279579855358126709050772586217832934264577693342470386970077902862728555915666029522061476256844672009825705127075723631226844898325219223874139270725121<215>
prime factors 素因数
117910096584845022251347424648204844090407<42>
composite cofactor 合成数の残り
707280158395850869251251061902669011212128060742288049117460848201034779736439147569589548072728198573401795083886811346336685543666609514940926016829322721777213948419767703<174>
factorization results 素因数分解の結果
Resuming ECM residue saved by @ae5d10bcd9b4 with GMP-ECM 7.0.5-dev on Fri Apr 14 09:43:53 2023 
Input number is 83395471788999261970056393482584209669920559144357973097380584279579855358126709050772586217832934264577693342470386970077902862728555915666029522061476256844672009825705127075723631226844898325219223874139270725121 (215 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1893331822
Step 1 took 0ms
Step 2 took 18126ms
********** Factor found in step 2: 117910096584845022251347424648204844090407
Found prime factor of 42 digits: 117910096584845022251347424648204844090407
Composite cofactor 707280158395850869251251061902669011212128060742288049117460848201034779736439147569589548072728198573401795083886811346336685543666609514940926016829322721777213948419767703 has 174 digits

c174

name 名前Dmitry Domanov
date 日付April 18, 2023 14:02:27 UTC 2023 年 4 月 18 日 (火) 23 時 2 分 27 秒 (日本時間)
composite number 合成数
707280158395850869251251061902669011212128060742288049117460848201034779736439147569589548072728198573401795083886811346336685543666609514940926016829322721777213948419767703<174>
prime factors 素因数
1140096814494355587813390863193020223614695155067<49>
composite cofactor 合成数の残り
620368506782940831391231999692306152629108898699289439273168036914166014242980925442161468856816419713692058890912574439356309<126>
factorization results 素因数分解の結果
Resuming ECM residue saved by @ae5d10bcd9b4 with GMP-ECM 7.0.5-dev on Fri Apr 14 09:43:53 2023 
Input number is 707280158395850869251251061902669011212128060742288049117460848201034779736439147569589548072728198573401795083886811346336685543666609514940926016829322721777213948419767703 (174 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1893333592
Step 1 took 0ms
Step 2 took 13970ms
********** Factor found in step 2: 1140096814494355587813390863193020223614695155067
Found prime factor of 49 digits: 1140096814494355587813390863193020223614695155067
Composite cofactor 620368506782940831391231999692306152629108898699289439273168036914166014242980925442161468856816419713692058890912574439356309 has 126 digits

c126

name 名前Ignacio Santos
date 日付April 22, 2023 13:15:28 UTC 2023 年 4 月 22 日 (土) 22 時 15 分 28 秒 (日本時間)
composite number 合成数
620368506782940831391231999692306152629108898699289439273168036914166014242980925442161468856816419713692058890912574439356309<126>
prime factors 素因数
355195146668945573846479508391097132627602992602997<51>
1746556822639094779227188002721773684876709415545571185789779995307285844897<76>
factorization results 素因数分解の結果
-> makeJobFile(): Adjusted to q0=2900000, q1=3000000.
->               client 1 q0: 2900000
      LatSieveTime: 101
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-> makeJobFile(): Adjusted to q0=3000001, q1=3100000.
->               client 1 q0: 3000001
      LatSieveTime: 98
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-> makeJobFile(): Adjusted to q0=3100001, q1=3200000.
->               client 1 q0: 3100001
      LatSieveTime: 100
        LatSieveTime: 104
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        LatSieveTime: 111
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-> makeJobFile(): Adjusted to q0=3200001, q1=3300000.
->               client 1 q0: 3200001
      LatSieveTime: 101
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        LatSieveTime: 111
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-> makeJobFile(): Adjusted to q0=3300001, q1=3400000.
->               client 1 q0: 3300001
      LatSieveTime: 96
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 111
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-> makeJobFile(): Adjusted to q0=3400001, q1=3500000.
->               client 1 q0: 3400001
      LatSieveTime: 104
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-> makeJobFile(): Adjusted to q0=3500001, q1=3600000.
->               client 1 q0: 3500001
      LatSieveTime: 100
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-> makeJobFile(): Adjusted to q0=3600001, q1=3700000.
->               client 1 q0: 3600001
      LatSieveTime: 100
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-> makeJobFile(): Adjusted to q0=3700001, q1=3800000.
->               client 1 q0: 3700001
      LatSieveTime: 105
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-> makeJobFile(): Adjusted to q0=3800001, q1=3900000.
->               client 1 q0: 3800001
      LatSieveTime: 99
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-> makeJobFile(): Adjusted to q0=3900001, q1=4000000.
->               client 1 q0: 3900001
      LatSieveTime: 101
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-> makeJobFile(): Adjusted to q0=4000001, q1=4100000.
->               client 1 q0: 4000001
      LatSieveTime: 109
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-> makeJobFile(): Adjusted to q0=4100001, q1=4200000.
->               client 1 q0: 4100001
      LatSieveTime: 89
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-> makeJobFile(): Adjusted to q0=4200001, q1=4300000.
->               client 1 q0: 4200001
      LatSieveTime: 92
        LatSieveTime: 100
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-> makeJobFile(): Adjusted to q0=4300001, q1=4400000.
->               client 1 q0: 4300001
      LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 115
        LatSieveTime: 116
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-> makeJobFile(): Adjusted to q0=4400001, q1=4500000.
->               client 1 q0: 4400001
      LatSieveTime: 108
        LatSieveTime: 111
        LatSieveTime: 113
        LatSieveTime: 115
        LatSieveTime: 120
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        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 132
        LatSieveTime: 133
        LatSieveTime: 136
        LatSieveTime: 136
        LatSieveTime: 137
        LatSieveTime: 138
        LatSieveTime: 138
        LatSieveTime: 138
        LatSieveTime: 139
        LatSieveTime: 139
        LatSieveTime: 139
        LatSieveTime: 141
        LatSieveTime: 141
        LatSieveTime: 141
        LatSieveTime: 141
        LatSieveTime: 142
        LatSieveTime: 142
        LatSieveTime: 142
        LatSieveTime: 145
        LatSieveTime: 145
        LatSieveTime: 148
        LatSieveTime: 149
        LatSieveTime: 149
-> makeJobFile(): Adjusted to q0=4500001, q1=4600000.
->               client 1 q0: 4500001
      LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 108
        LatSieveTime: 117
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 122
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 128
        LatSieveTime: 128
        LatSieveTime: 129
        LatSieveTime: 130
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 132
        LatSieveTime: 132
        LatSieveTime: 132
        LatSieveTime: 133
        LatSieveTime: 133
        LatSieveTime: 134
        LatSieveTime: 134
        LatSieveTime: 134
        LatSieveTime: 135
        LatSieveTime: 136
        LatSieveTime: 136
        LatSieveTime: 137
        LatSieveTime: 138
        LatSieveTime: 138
        LatSieveTime: 139
        LatSieveTime: 138
        LatSieveTime: 139
        LatSieveTime: 140
        LatSieveTime: 141
        LatSieveTime: 141
        LatSieveTime: 141
        LatSieveTime: 141
        LatSieveTime: 142
        LatSieveTime: 144
        LatSieveTime: 145
        LatSieveTime: 146
        LatSieveTime: 151
        LatSieveTime: 153
        LatSieveTime: 153
        LatSieveTime: 155
-> makeJobFile(): Adjusted to q0=4600001, q1=4700000.
->               client 1 q0: 4600001
      LatSieveTime: 106
        LatSieveTime: 115
        LatSieveTime: 117
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 127
        LatSieveTime: 128
        LatSieveTime: 128
        LatSieveTime: 129
        LatSieveTime: 130
        LatSieveTime: 131
        LatSieveTime: 132
        LatSieveTime: 133
        LatSieveTime: 133
        LatSieveTime: 133
        LatSieveTime: 134
        LatSieveTime: 134
        LatSieveTime: 134
        LatSieveTime: 134
        LatSieveTime: 135
        LatSieveTime: 136
        LatSieveTime: 139
        LatSieveTime: 139
        LatSieveTime: 140
        LatSieveTime: 141
        LatSieveTime: 142
        LatSieveTime: 143
        LatSieveTime: 144
        LatSieveTime: 145
        LatSieveTime: 148
        LatSieveTime: 149
        LatSieveTime: 149
        LatSieveTime: 149
        LatSieveTime: 150
        LatSieveTime: 152
        LatSieveTime: 152
        LatSieveTime: 153
        LatSieveTime: 154
        LatSieveTime: 156
-> makeJobFile(): Adjusted to q0=4700001, q1=4800000.
->               client 1 q0: 4700001
      LatSieveTime: 110
        LatSieveTime: 114
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 127
        LatSieveTime: 127
        LatSieveTime: 128
        LatSieveTime: 128
        LatSieveTime: 129
        LatSieveTime: 129
        LatSieveTime: 130
        LatSieveTime: 131
        LatSieveTime: 132
        LatSieveTime: 132
        LatSieveTime: 132
        LatSieveTime: 132
        LatSieveTime: 132
        LatSieveTime: 133
        LatSieveTime: 134
        LatSieveTime: 135
        LatSieveTime: 135
        LatSieveTime: 136
        LatSieveTime: 136
        LatSieveTime: 136
        LatSieveTime: 137
        LatSieveTime: 137
        LatSieveTime: 137
        LatSieveTime: 138
        LatSieveTime: 140
        LatSieveTime: 140
        LatSieveTime: 142
        LatSieveTime: 142
        LatSieveTime: 142
        LatSieveTime: 143
        LatSieveTime: 143
        LatSieveTime: 144
        LatSieveTime: 145
        LatSieveTime: 155
        LatSieveTime: 155
        LatSieveTime: 158
-> makeJobFile(): Adjusted to q0=4800001, q1=4900000.
->               client 1 q0: 4800001
      LatSieveTime: 109
        LatSieveTime: 115
        LatSieveTime: 122
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 127
        LatSieveTime: 127
        LatSieveTime: 129
        LatSieveTime: 130
        LatSieveTime: 131
        LatSieveTime: 130
        LatSieveTime: 132
        LatSieveTime: 133
        LatSieveTime: 133
        LatSieveTime: 133
        LatSieveTime: 135
        LatSieveTime: 135
        LatSieveTime: 135
        LatSieveTime: 135
        LatSieveTime: 136
        LatSieveTime: 137
        LatSieveTime: 138
        LatSieveTime: 138
        LatSieveTime: 138
        LatSieveTime: 139
        LatSieveTime: 139
        LatSieveTime: 139
        LatSieveTime: 139
        LatSieveTime: 140
        LatSieveTime: 141
        LatSieveTime: 143
        LatSieveTime: 143
        LatSieveTime: 145
        LatSieveTime: 146
        LatSieveTime: 146
        LatSieveTime: 147
        LatSieveTime: 148
        LatSieveTime: 149
        LatSieveTime: 150
        LatSieveTime: 150
        LatSieveTime: 151
        LatSieveTime: 152
        LatSieveTime: 152
        LatSieveTime: 153
        LatSieveTime: 155
-> makeJobFile(): Adjusted to q0=4900001, q1=5000000.
->               client 1 q0: 4900001
      LatSieveTime: 110
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 118
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 127
        LatSieveTime: 128
        LatSieveTime: 130
        LatSieveTime: 130
        LatSieveTime: 130
        LatSieveTime: 130
        LatSieveTime: 131
        LatSieveTime: 132
        LatSieveTime: 132
        LatSieveTime: 134
        LatSieveTime: 134
        LatSieveTime: 136
        LatSieveTime: 136
        LatSieveTime: 136
        LatSieveTime: 137
        LatSieveTime: 137
        LatSieveTime: 137
        LatSieveTime: 137
        LatSieveTime: 138
        LatSieveTime: 139
        LatSieveTime: 140
        LatSieveTime: 140
        LatSieveTime: 140
        LatSieveTime: 140
        LatSieveTime: 141
        LatSieveTime: 142
        LatSieveTime: 142
        LatSieveTime: 145
        LatSieveTime: 148
        LatSieveTime: 151
        LatSieveTime: 158
-> makeJobFile(): Adjusted to q0=5000001, q1=5100000.
->               client 1 q0: 5000001
      LatSieveTime: 106
        LatSieveTime: 114
        LatSieveTime: 119
        LatSieveTime: 121
        LatSieveTime: 124
        LatSieveTime: 126
        LatSieveTime: 127
        LatSieveTime: 127
        LatSieveTime: 127
        LatSieveTime: 128
        LatSieveTime: 129
        LatSieveTime: 130
        LatSieveTime: 130
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 132
        LatSieveTime: 133
        LatSieveTime: 133
        LatSieveTime: 133
        LatSieveTime: 134
        LatSieveTime: 134
        LatSieveTime: 134
        LatSieveTime: 134
        LatSieveTime: 135
        LatSieveTime: 136
        LatSieveTime: 137
        LatSieveTime: 137
        LatSieveTime: 138
        LatSieveTime: 138
        LatSieveTime: 139
        LatSieveTime: 139
        LatSieveTime: 139
        LatSieveTime: 140
        LatSieveTime: 140
        LatSieveTime: 141
        LatSieveTime: 142
        LatSieveTime: 146
        LatSieveTime: 147
        LatSieveTime: 148
        LatSieveTime: 153
        LatSieveTime: 154
        LatSieveTime: 159
        LatSieveTime: 160
-> makeJobFile(): Adjusted to q0=5100001, q1=5200000.
->               client 1 q0: 5100001
      LatSieveTime: 106
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 126
        LatSieveTime: 127
        LatSieveTime: 127
        LatSieveTime: 128
        LatSieveTime: 128
        LatSieveTime: 129
        LatSieveTime: 130
        LatSieveTime: 132
        LatSieveTime: 132
        LatSieveTime: 132
        LatSieveTime: 133
        LatSieveTime: 133
        LatSieveTime: 134
        LatSieveTime: 134
        LatSieveTime: 134
        LatSieveTime: 135
        LatSieveTime: 135
        LatSieveTime: 135
        LatSieveTime: 135
        LatSieveTime: 135
        LatSieveTime: 136
        LatSieveTime: 137
        LatSieveTime: 138
        LatSieveTime: 138
        LatSieveTime: 139
        LatSieveTime: 139
        LatSieveTime: 140
        LatSieveTime: 141
        LatSieveTime: 142
        LatSieveTime: 142
        LatSieveTime: 143
        LatSieveTime: 143
        LatSieveTime: 144
        LatSieveTime: 145
        LatSieveTime: 145
        LatSieveTime: 148
        LatSieveTime: 156
-> makeJobFile(): Adjusted to q0=5200001, q1=5300000.
->               client 1 q0: 5200001
      LatSieveTime: 111
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 122
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 126
        LatSieveTime: 126
        LatSieveTime: 128
        LatSieveTime: 128
        LatSieveTime: 130
        LatSieveTime: 130
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 133
        LatSieveTime: 133
        LatSieveTime: 134
        LatSieveTime: 134
        LatSieveTime: 135
        LatSieveTime: 136
        LatSieveTime: 137
        LatSieveTime: 139
        LatSieveTime: 140
        LatSieveTime: 140
        LatSieveTime: 142
        LatSieveTime: 143
        LatSieveTime: 143
        LatSieveTime: 144
        LatSieveTime: 144
        LatSieveTime: 144
        LatSieveTime: 146
        LatSieveTime: 146
        LatSieveTime: 147
        LatSieveTime: 147
        LatSieveTime: 148
        LatSieveTime: 148
        LatSieveTime: 150
        LatSieveTime: 151
        LatSieveTime: 151
Sat Apr 22 13:52:01 2023  
Sat Apr 22 13:52:01 2023  
Sat Apr 22 13:52:01 2023  Msieve v. 1.52 (SVN 927)
Sat Apr 22 13:52:01 2023  random seeds: 8c75c6a0 1ee6e93e
Sat Apr 22 13:52:01 2023  factoring 620368506782940831391231999692306152629108898699289439273168036914166014242980925442161468856816419713692058890912574439356309 (126 digits)
Sat Apr 22 13:52:02 2023  searching for 15-digit factors
Sat Apr 22 13:52:02 2023  commencing number field sieve (126-digit input)
Sat Apr 22 13:52:02 2023  R0: -1706719252781195789505661
Sat Apr 22 13:52:02 2023  R1: 45363385710467
Sat Apr 22 13:52:02 2023  A0: 1332247361693535137682067504400
Sat Apr 22 13:52:02 2023  A1: -87889323657391988324268556
Sat Apr 22 13:52:02 2023  A2: 239114376291285904766
Sat Apr 22 13:52:02 2023  A3: 21743808761638101
Sat Apr 22 13:52:02 2023  A4: -37697688726
Sat Apr 22 13:52:02 2023  A5: 42840
Sat Apr 22 13:52:02 2023  skew 133611.33, size 2.952e-012, alpha -6.832, combined = 1.090e-010 rroots = 3
Sat Apr 22 13:52:02 2023  
Sat Apr 22 13:52:02 2023  commencing relation filtering
Sat Apr 22 13:52:02 2023  estimated available RAM is 65413.5 MB
Sat Apr 22 13:52:02 2023  commencing duplicate removal, pass 1
Sat Apr 22 13:52:27 2023  found 1173731 hash collisions in 12136094 relations
Sat Apr 22 13:52:45 2023  added 114789 free relations
Sat Apr 22 13:52:45 2023  commencing duplicate removal, pass 2
Sat Apr 22 13:52:49 2023  found 798775 duplicates and 11452108 unique relations
Sat Apr 22 13:52:49 2023  memory use: 49.3 MB
Sat Apr 22 13:52:49 2023  reading ideals above 720000
Sat Apr 22 13:52:49 2023  commencing singleton removal, initial pass
Sat Apr 22 13:53:29 2023  memory use: 376.5 MB
Sat Apr 22 13:53:29 2023  reading all ideals from disk
Sat Apr 22 13:53:29 2023  memory use: 339.2 MB
Sat Apr 22 13:53:29 2023  commencing in-memory singleton removal
Sat Apr 22 13:53:30 2023  begin with 11452108 relations and 15990993 unique ideals
Sat Apr 22 13:53:31 2023  reduce to 472 relations and 8 ideals in 11 passes
Sat Apr 22 13:53:31 2023  max relations containing the same ideal: 2
Sat Apr 22 13:53:31 2023  filtering wants 1000000 more relations
Sat Apr 22 13:53:31 2023  elapsed time 00:01:30
-> makeJobFile(): Adjusted to q0=5300001, q1=5400000.
->               client 1 q0: 5300001
    LatSieveTime: 107
        LatSieveTime: 109
        LatSieveTime: 111
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 127
        LatSieveTime: 128
        LatSieveTime: 129
        LatSieveTime: 130
        LatSieveTime: 130
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 133
        LatSieveTime: 133
        LatSieveTime: 133
        LatSieveTime: 133
        LatSieveTime: 133
        LatSieveTime: 134
        LatSieveTime: 134
        LatSieveTime: 134
        LatSieveTime: 135
        LatSieveTime: 135
        LatSieveTime: 136
        LatSieveTime: 136
        LatSieveTime: 138
        LatSieveTime: 139
        LatSieveTime: 140
        LatSieveTime: 141
        LatSieveTime: 141
        LatSieveTime: 144
        LatSieveTime: 144
        LatSieveTime: 144
        LatSieveTime: 144
        LatSieveTime: 145
        LatSieveTime: 145
        LatSieveTime: 145
        LatSieveTime: 145
        LatSieveTime: 147
        LatSieveTime: 147
        LatSieveTime: 150
        LatSieveTime: 162
Sat Apr 22 13:56:19 2023  
Sat Apr 22 13:56:19 2023  
Sat Apr 22 13:56:19 2023  Msieve v. 1.52 (SVN 927)
Sat Apr 22 13:56:19 2023  random seeds: 463d2738 8697e3f6
Sat Apr 22 13:56:19 2023  factoring 620368506782940831391231999692306152629108898699289439273168036914166014242980925442161468856816419713692058890912574439356309 (126 digits)
Sat Apr 22 13:56:19 2023  searching for 15-digit factors
Sat Apr 22 13:56:19 2023  commencing number field sieve (126-digit input)
Sat Apr 22 13:56:19 2023  R0: -1706719252781195789505661
Sat Apr 22 13:56:19 2023  R1: 45363385710467
Sat Apr 22 13:56:19 2023  A0: 1332247361693535137682067504400
Sat Apr 22 13:56:19 2023  A1: -87889323657391988324268556
Sat Apr 22 13:56:19 2023  A2: 239114376291285904766
Sat Apr 22 13:56:19 2023  A3: 21743808761638101
Sat Apr 22 13:56:19 2023  A4: -37697688726
Sat Apr 22 13:56:19 2023  A5: 42840
Sat Apr 22 13:56:19 2023  skew 133611.33, size 2.952e-012, alpha -6.832, combined = 1.090e-010 rroots = 3
Sat Apr 22 13:56:19 2023  
Sat Apr 22 13:56:19 2023  commencing relation filtering
Sat Apr 22 13:56:19 2023  estimated available RAM is 65413.5 MB
Sat Apr 22 13:56:19 2023  commencing duplicate removal, pass 1
Sat Apr 22 13:56:47 2023  found 1268386 hash collisions in 12768454 relations
Sat Apr 22 13:57:04 2023  added 668 free relations
Sat Apr 22 13:57:04 2023  commencing duplicate removal, pass 2
Sat Apr 22 13:57:08 2023  found 857097 duplicates and 11912025 unique relations
Sat Apr 22 13:57:08 2023  memory use: 49.3 MB
Sat Apr 22 13:57:08 2023  reading ideals above 720000
Sat Apr 22 13:57:08 2023  commencing singleton removal, initial pass
Sat Apr 22 13:57:50 2023  memory use: 376.5 MB
Sat Apr 22 13:57:50 2023  reading all ideals from disk
Sat Apr 22 13:57:50 2023  memory use: 353.0 MB
Sat Apr 22 13:57:51 2023  commencing in-memory singleton removal
Sat Apr 22 13:57:51 2023  begin with 11912025 relations and 16319365 unique ideals
Sat Apr 22 13:57:52 2023  reduce to 472 relations and 8 ideals in 11 passes
Sat Apr 22 13:57:52 2023  max relations containing the same ideal: 2
Sat Apr 22 13:57:52 2023  filtering wants 1000000 more relations
Sat Apr 22 13:57:52 2023  elapsed time 00:01:33
-> makeJobFile(): Adjusted to q0=5400001, q1=5500000.
->               client 1 q0: 5400001
       LatSieveTime: 97
        LatSieveTime: 110
        LatSieveTime: 113
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 119
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 126
        LatSieveTime: 128
        LatSieveTime: 130
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 132
        LatSieveTime: 132
        LatSieveTime: 134
        LatSieveTime: 134
        LatSieveTime: 135
        LatSieveTime: 135
        LatSieveTime: 136
        LatSieveTime: 137
        LatSieveTime: 138
        LatSieveTime: 139
        LatSieveTime: 139
        LatSieveTime: 139
        LatSieveTime: 140
        LatSieveTime: 140
        LatSieveTime: 141
        LatSieveTime: 141
        LatSieveTime: 141
        LatSieveTime: 145
        LatSieveTime: 146
        LatSieveTime: 147
        LatSieveTime: 147
        LatSieveTime: 149
        LatSieveTime: 150
        LatSieveTime: 151
        LatSieveTime: 152
Sat Apr 22 14:00:30 2023  
Sat Apr 22 14:00:30 2023  
Sat Apr 22 14:00:30 2023  Msieve v. 1.52 (SVN 927)
Sat Apr 22 14:00:30 2023  random seeds: 89dbcac0 59491ce6
Sat Apr 22 14:00:30 2023  factoring 620368506782940831391231999692306152629108898699289439273168036914166014242980925442161468856816419713692058890912574439356309 (126 digits)
Sat Apr 22 14:00:31 2023  searching for 15-digit factors
Sat Apr 22 14:00:31 2023  commencing number field sieve (126-digit input)
Sat Apr 22 14:00:31 2023  R0: -1706719252781195789505661
Sat Apr 22 14:00:31 2023  R1: 45363385710467
Sat Apr 22 14:00:31 2023  A0: 1332247361693535137682067504400
Sat Apr 22 14:00:31 2023  A1: -87889323657391988324268556
Sat Apr 22 14:00:31 2023  A2: 239114376291285904766
Sat Apr 22 14:00:31 2023  A3: 21743808761638101
Sat Apr 22 14:00:31 2023  A4: -37697688726
Sat Apr 22 14:00:31 2023  A5: 42840
Sat Apr 22 14:00:31 2023  skew 133611.33, size 2.952e-012, alpha -6.832, combined = 1.090e-010 rroots = 3
Sat Apr 22 14:00:31 2023  
Sat Apr 22 14:00:31 2023  commencing relation filtering
Sat Apr 22 14:00:31 2023  estimated available RAM is 65413.5 MB
Sat Apr 22 14:00:31 2023  commencing duplicate removal, pass 1
Sat Apr 22 14:00:59 2023  found 1356564 hash collisions in 13281706 relations
Sat Apr 22 14:01:17 2023  added 590 free relations
Sat Apr 22 14:01:17 2023  commencing duplicate removal, pass 2
Sat Apr 22 14:01:21 2023  found 916971 duplicates and 12365325 unique relations
Sat Apr 22 14:01:21 2023  memory use: 49.3 MB
Sat Apr 22 14:01:21 2023  reading ideals above 720000
Sat Apr 22 14:01:21 2023  commencing singleton removal, initial pass
Sat Apr 22 14:02:05 2023  memory use: 376.5 MB
Sat Apr 22 14:02:05 2023  reading all ideals from disk
Sat Apr 22 14:02:05 2023  memory use: 366.6 MB
Sat Apr 22 14:02:05 2023  commencing in-memory singleton removal
Sat Apr 22 14:02:06 2023  begin with 12365325 relations and 16632366 unique ideals
Sat Apr 22 14:02:07 2023  reduce to 472 relations and 8 ideals in 12 passes
Sat Apr 22 14:02:07 2023  max relations containing the same ideal: 2
Sat Apr 22 14:02:07 2023  filtering wants 1000000 more relations
Sat Apr 22 14:02:07 2023  elapsed time 00:01:37
-> makeJobFile(): Adjusted to q0=5500001, q1=5600000.
->               client 1 q0: 5500001
       LatSieveTime: 106
        LatSieveTime: 113
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 127
        LatSieveTime: 129
        LatSieveTime: 130
        LatSieveTime: 130
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 132
        LatSieveTime: 132
        LatSieveTime: 133
        LatSieveTime: 133
        LatSieveTime: 133
        LatSieveTime: 135
        LatSieveTime: 136
        LatSieveTime: 136
        LatSieveTime: 137
        LatSieveTime: 138
        LatSieveTime: 138
        LatSieveTime: 139
        LatSieveTime: 141
        LatSieveTime: 142
        LatSieveTime: 143
        LatSieveTime: 143
        LatSieveTime: 144
        LatSieveTime: 145
        LatSieveTime: 145
        LatSieveTime: 146
        LatSieveTime: 149
        LatSieveTime: 149
        LatSieveTime: 150
        LatSieveTime: 155
        LatSieveTime: 162
Sat Apr 22 14:04:55 2023  
Sat Apr 22 14:04:55 2023  
Sat Apr 22 14:04:55 2023  Msieve v. 1.52 (SVN 927)
Sat Apr 22 14:04:55 2023  random seeds: 797aac00 f6f1d3f8
Sat Apr 22 14:04:55 2023  factoring 620368506782940831391231999692306152629108898699289439273168036914166014242980925442161468856816419713692058890912574439356309 (126 digits)
Sat Apr 22 14:04:56 2023  searching for 15-digit factors
Sat Apr 22 14:04:56 2023  commencing number field sieve (126-digit input)
Sat Apr 22 14:04:56 2023  R0: -1706719252781195789505661
Sat Apr 22 14:04:56 2023  R1: 45363385710467
Sat Apr 22 14:04:56 2023  A0: 1332247361693535137682067504400
Sat Apr 22 14:04:56 2023  A1: -87889323657391988324268556
Sat Apr 22 14:04:56 2023  A2: 239114376291285904766
Sat Apr 22 14:04:56 2023  A3: 21743808761638101
Sat Apr 22 14:04:56 2023  A4: -37697688726
Sat Apr 22 14:04:56 2023  A5: 42840
Sat Apr 22 14:04:56 2023  skew 133611.33, size 2.952e-012, alpha -6.832, combined = 1.090e-010 rroots = 3
Sat Apr 22 14:04:56 2023  
Sat Apr 22 14:04:56 2023  commencing relation filtering
Sat Apr 22 14:04:56 2023  estimated available RAM is 65413.5 MB
Sat Apr 22 14:04:56 2023  commencing duplicate removal, pass 1
Sat Apr 22 14:05:25 2023  found 1445939 hash collisions in 13792166 relations
Sat Apr 22 14:05:43 2023  added 547 free relations
Sat Apr 22 14:05:43 2023  commencing duplicate removal, pass 2
Sat Apr 22 14:05:48 2023  found 977276 duplicates and 12815437 unique relations
Sat Apr 22 14:05:48 2023  memory use: 49.3 MB
Sat Apr 22 14:05:48 2023  reading ideals above 720000
Sat Apr 22 14:05:48 2023  commencing singleton removal, initial pass
Sat Apr 22 14:06:33 2023  memory use: 376.5 MB
Sat Apr 22 14:06:33 2023  reading all ideals from disk
Sat Apr 22 14:06:33 2023  memory use: 380.2 MB
Sat Apr 22 14:06:34 2023  commencing in-memory singleton removal
Sat Apr 22 14:06:34 2023  begin with 12815437 relations and 16932443 unique ideals
Sat Apr 22 14:06:36 2023  reduce to 474 relations and 9 ideals in 14 passes
Sat Apr 22 14:06:36 2023  max relations containing the same ideal: 2
Sat Apr 22 14:06:36 2023  filtering wants 1000000 more relations
Sat Apr 22 14:06:36 2023  elapsed time 00:01:41
-> makeJobFile(): Adjusted to q0=5600001, q1=5700000.
->               client 1 q0: 5600001
       LatSieveTime: 121
        LatSieveTime: 130
        LatSieveTime: 135
        LatSieveTime: 135
        LatSieveTime: 139
        LatSieveTime: 139
        LatSieveTime: 139
        LatSieveTime: 141
        LatSieveTime: 141
        LatSieveTime: 141
        LatSieveTime: 141
        LatSieveTime: 141
        LatSieveTime: 142
        LatSieveTime: 144
        LatSieveTime: 144
        LatSieveTime: 147
        LatSieveTime: 149
        LatSieveTime: 149
        LatSieveTime: 150
        LatSieveTime: 150
        LatSieveTime: 150
        LatSieveTime: 151
        LatSieveTime: 151
        LatSieveTime: 152
        LatSieveTime: 153
        LatSieveTime: 153
        LatSieveTime: 154
        LatSieveTime: 155
        LatSieveTime: 155
        LatSieveTime: 155
        LatSieveTime: 156
        LatSieveTime: 157
        LatSieveTime: 158
        LatSieveTime: 158
        LatSieveTime: 158
        LatSieveTime: 158
        LatSieveTime: 160
        LatSieveTime: 160
        LatSieveTime: 161
        LatSieveTime: 161
        LatSieveTime: 162
        LatSieveTime: 165
        LatSieveTime: 166
        LatSieveTime: 169
        LatSieveTime: 170
        LatSieveTime: 171
-> makeJobFile(): Adjusted to q0=5700001, q1=5800000.
->               client 1 q0: 5700001
      LatSieveTime: 108
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 126
        LatSieveTime: 127
        LatSieveTime: 130
        LatSieveTime: 131
        LatSieveTime: 132
        LatSieveTime: 134
        LatSieveTime: 134
        LatSieveTime: 135
        LatSieveTime: 136
        LatSieveTime: 137
        LatSieveTime: 137
        LatSieveTime: 138
        LatSieveTime: 138
        LatSieveTime: 138
        LatSieveTime: 139
        LatSieveTime: 139
        LatSieveTime: 140
        LatSieveTime: 141
        LatSieveTime: 141
        LatSieveTime: 141
        LatSieveTime: 141
        LatSieveTime: 142
        LatSieveTime: 143
        LatSieveTime: 143
        LatSieveTime: 144
        LatSieveTime: 145
        LatSieveTime: 146
        LatSieveTime: 147
        LatSieveTime: 147
        LatSieveTime: 148
        LatSieveTime: 149
        LatSieveTime: 155
        LatSieveTime: 156
-> makeJobFile(): Adjusted to q0=5800001, q1=5900000.
->               client 1 q0: 5800001
      LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 116
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 126
        LatSieveTime: 126
        LatSieveTime: 126
        LatSieveTime: 127
        LatSieveTime: 128
        LatSieveTime: 129
        LatSieveTime: 130
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 133
        LatSieveTime: 132
        LatSieveTime: 133
        LatSieveTime: 134
        LatSieveTime: 135
        LatSieveTime: 135
        LatSieveTime: 135
        LatSieveTime: 136
        LatSieveTime: 136
        LatSieveTime: 137
        LatSieveTime: 137
        LatSieveTime: 137
        LatSieveTime: 137
        LatSieveTime: 137
        LatSieveTime: 139
        LatSieveTime: 139
        LatSieveTime: 140
        LatSieveTime: 140
        LatSieveTime: 141
        LatSieveTime: 141
        LatSieveTime: 144
        LatSieveTime: 144
        LatSieveTime: 145
        LatSieveTime: 148
        LatSieveTime: 149
        LatSieveTime: 149
Sat Apr 22 14:14:50 2023  
Sat Apr 22 14:14:50 2023  
Sat Apr 22 14:14:50 2023  Msieve v. 1.52 (SVN 927)
Sat Apr 22 14:14:50 2023  random seeds: e0bc7070 00399246
Sat Apr 22 14:14:50 2023  factoring 620368506782940831391231999692306152629108898699289439273168036914166014242980925442161468856816419713692058890912574439356309 (126 digits)
Sat Apr 22 14:14:51 2023  searching for 15-digit factors
Sat Apr 22 14:14:51 2023  commencing number field sieve (126-digit input)
Sat Apr 22 14:14:51 2023  R0: -1706719252781195789505661
Sat Apr 22 14:14:51 2023  R1: 45363385710467
Sat Apr 22 14:14:51 2023  A0: 1332247361693535137682067504400
Sat Apr 22 14:14:51 2023  A1: -87889323657391988324268556
Sat Apr 22 14:14:51 2023  A2: 239114376291285904766
Sat Apr 22 14:14:51 2023  A3: 21743808761638101
Sat Apr 22 14:14:51 2023  A4: -37697688726
Sat Apr 22 14:14:51 2023  A5: 42840
Sat Apr 22 14:14:51 2023  skew 133611.33, size 2.952e-012, alpha -6.832, combined = 1.090e-010 rroots = 3
Sat Apr 22 14:14:51 2023  
Sat Apr 22 14:14:51 2023  commencing relation filtering
Sat Apr 22 14:14:51 2023  estimated available RAM is 65413.5 MB
Sat Apr 22 14:14:51 2023  commencing duplicate removal, pass 1
Sat Apr 22 14:15:25 2023  found 1726522 hash collisions in 15326208 relations
Sat Apr 22 14:15:44 2023  added 1249 free relations
Sat Apr 22 14:15:44 2023  commencing duplicate removal, pass 2
Sat Apr 22 14:15:49 2023  found 1166885 duplicates and 14160572 unique relations
Sat Apr 22 14:15:49 2023  memory use: 53.3 MB
Sat Apr 22 14:15:49 2023  reading ideals above 720000
Sat Apr 22 14:15:49 2023  commencing singleton removal, initial pass
Sat Apr 22 14:16:38 2023  memory use: 376.5 MB
Sat Apr 22 14:16:38 2023  reading all ideals from disk
Sat Apr 22 14:16:38 2023  memory use: 420.8 MB
Sat Apr 22 14:16:39 2023  keeping 17775247 ideals with weight <= 200, target excess is 116296
Sat Apr 22 14:16:40 2023  commencing in-memory singleton removal
Sat Apr 22 14:16:40 2023  begin with 14160572 relations and 17775247 unique ideals
Sat Apr 22 14:16:43 2023  reduce to 474 relations and 9 ideals in 25 passes
Sat Apr 22 14:16:43 2023  max relations containing the same ideal: 2
Sat Apr 22 14:16:43 2023  filtering wants 1000000 more relations
Sat Apr 22 14:16:43 2023  elapsed time 00:01:53
-> makeJobFile(): Adjusted to q0=5900001, q1=6000000.
->               client 1 q0: 5900001
    LatSieveTime: 113
        LatSieveTime: 116
        LatSieveTime: 118
        LatSieveTime: 121
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 129
        LatSieveTime: 130
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 132
        LatSieveTime: 133
        LatSieveTime: 133
        LatSieveTime: 134
        LatSieveTime: 135
        LatSieveTime: 136
        LatSieveTime: 137
        LatSieveTime: 138
        LatSieveTime: 138
        LatSieveTime: 138
        LatSieveTime: 139
        LatSieveTime: 139
        LatSieveTime: 140
        LatSieveTime: 141
        LatSieveTime: 141
        LatSieveTime: 142
        LatSieveTime: 142
        LatSieveTime: 143
        LatSieveTime: 144
        LatSieveTime: 144
        LatSieveTime: 145
        LatSieveTime: 145
        LatSieveTime: 146
        LatSieveTime: 149
        LatSieveTime: 149
        LatSieveTime: 150
        LatSieveTime: 150
        LatSieveTime: 152
        LatSieveTime: 160
        LatSieveTime: 161
        LatSieveTime: 166
Sat Apr 22 14:19:36 2023  
Sat Apr 22 14:19:36 2023  
Sat Apr 22 14:19:36 2023  Msieve v. 1.52 (SVN 927)
Sat Apr 22 14:19:36 2023  random seeds: 532900b8 17df12cc
Sat Apr 22 14:19:36 2023  factoring 620368506782940831391231999692306152629108898699289439273168036914166014242980925442161468856816419713692058890912574439356309 (126 digits)
Sat Apr 22 14:19:36 2023  searching for 15-digit factors
Sat Apr 22 14:19:36 2023  commencing number field sieve (126-digit input)
Sat Apr 22 14:19:36 2023  R0: -1706719252781195789505661
Sat Apr 22 14:19:36 2023  R1: 45363385710467
Sat Apr 22 14:19:36 2023  A0: 1332247361693535137682067504400
Sat Apr 22 14:19:36 2023  A1: -87889323657391988324268556
Sat Apr 22 14:19:36 2023  A2: 239114376291285904766
Sat Apr 22 14:19:36 2023  A3: 21743808761638101
Sat Apr 22 14:19:36 2023  A4: -37697688726
Sat Apr 22 14:19:36 2023  A5: 42840
Sat Apr 22 14:19:36 2023  skew 133611.33, size 2.952e-012, alpha -6.832, combined = 1.090e-010 rroots = 3
Sat Apr 22 14:19:36 2023  
Sat Apr 22 14:19:36 2023  commencing relation filtering
Sat Apr 22 14:19:36 2023  estimated available RAM is 65413.5 MB
Sat Apr 22 14:19:36 2023  commencing duplicate removal, pass 1
Sat Apr 22 14:20:11 2023  found 1826852 hash collisions in 15854186 relations
Sat Apr 22 14:20:30 2023  added 311 free relations
Sat Apr 22 14:20:30 2023  commencing duplicate removal, pass 2
Sat Apr 22 14:20:35 2023  found 1234996 duplicates and 14619501 unique relations
Sat Apr 22 14:20:35 2023  memory use: 82.6 MB
Sat Apr 22 14:20:35 2023  reading ideals above 720000
Sat Apr 22 14:20:35 2023  commencing singleton removal, initial pass
Sat Apr 22 14:21:26 2023  memory use: 376.5 MB
Sat Apr 22 14:21:26 2023  reading all ideals from disk
Sat Apr 22 14:21:27 2023  memory use: 434.7 MB
Sat Apr 22 14:21:27 2023  keeping 18045032 ideals with weight <= 200, target excess is 116309
Sat Apr 22 14:21:28 2023  commencing in-memory singleton removal
Sat Apr 22 14:21:29 2023  begin with 14619501 relations and 18045032 unique ideals
Sat Apr 22 14:21:43 2023  reduce to 474 relations and 9 ideals in 157 passes
Sat Apr 22 14:21:43 2023  max relations containing the same ideal: 2
Sat Apr 22 14:21:43 2023  filtering wants 1000000 more relations
Sat Apr 22 14:21:43 2023  elapsed time 00:02:07
-> makeJobFile(): Adjusted to q0=6000001, q1=6100000.
->               client 1 q0: 6000001
    LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 127
        LatSieveTime: 127
        LatSieveTime: 128
        LatSieveTime: 129
        LatSieveTime: 130
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 132
        LatSieveTime: 133
        LatSieveTime: 133
        LatSieveTime: 133
        LatSieveTime: 134
        LatSieveTime: 134
        LatSieveTime: 136
        LatSieveTime: 136
        LatSieveTime: 136
        LatSieveTime: 137
        LatSieveTime: 137
        LatSieveTime: 138
        LatSieveTime: 138
        LatSieveTime: 141
        LatSieveTime: 141
        LatSieveTime: 142
        LatSieveTime: 144
        LatSieveTime: 146
        LatSieveTime: 146
        LatSieveTime: 146
        LatSieveTime: 148
        LatSieveTime: 151
        LatSieveTime: 154
Sat Apr 22 14:24:23 2023  
Sat Apr 22 14:24:23 2023  
Sat Apr 22 14:24:23 2023  Msieve v. 1.52 (SVN 927)
Sat Apr 22 14:24:23 2023  random seeds: 8a3dc0a0 9592b368
Sat Apr 22 14:24:23 2023  factoring 620368506782940831391231999692306152629108898699289439273168036914166014242980925442161468856816419713692058890912574439356309 (126 digits)
Sat Apr 22 14:24:23 2023  searching for 15-digit factors
Sat Apr 22 14:24:23 2023  commencing number field sieve (126-digit input)
Sat Apr 22 14:24:23 2023  R0: -1706719252781195789505661
Sat Apr 22 14:24:23 2023  R1: 45363385710467
Sat Apr 22 14:24:23 2023  A0: 1332247361693535137682067504400
Sat Apr 22 14:24:23 2023  A1: -87889323657391988324268556
Sat Apr 22 14:24:23 2023  A2: 239114376291285904766
Sat Apr 22 14:24:23 2023  A3: 21743808761638101
Sat Apr 22 14:24:23 2023  A4: -37697688726
Sat Apr 22 14:24:23 2023  A5: 42840
Sat Apr 22 14:24:23 2023  skew 133611.33, size 2.952e-012, alpha -6.832, combined = 1.090e-010 rroots = 3
Sat Apr 22 14:24:23 2023  
Sat Apr 22 14:24:23 2023  commencing relation filtering
Sat Apr 22 14:24:23 2023  estimated available RAM is 65413.5 MB
Sat Apr 22 14:24:23 2023  commencing duplicate removal, pass 1
Sat Apr 22 14:24:58 2023  found 1926973 hash collisions in 16368573 relations
Sat Apr 22 14:25:17 2023  added 350 free relations
Sat Apr 22 14:25:17 2023  commencing duplicate removal, pass 2
Sat Apr 22 14:25:23 2023  found 1303020 duplicates and 15065903 unique relations
Sat Apr 22 14:25:23 2023  memory use: 82.6 MB
Sat Apr 22 14:25:23 2023  reading ideals above 720000
Sat Apr 22 14:25:23 2023  commencing singleton removal, initial pass
Sat Apr 22 14:26:16 2023  memory use: 376.5 MB
Sat Apr 22 14:26:16 2023  reading all ideals from disk
Sat Apr 22 14:26:16 2023  memory use: 448.1 MB
Sat Apr 22 14:26:16 2023  keeping 18299311 ideals with weight <= 200, target excess is 116347
Sat Apr 22 14:26:17 2023  commencing in-memory singleton removal
Sat Apr 22 14:26:18 2023  begin with 15065903 relations and 18299311 unique ideals
Sat Apr 22 14:26:26 2023  reduce to 2379455 relations and 2676422 ideals in 41 passes
Sat Apr 22 14:26:26 2023  max relations containing the same ideal: 49
Sat Apr 22 14:26:26 2023  filtering wants 1000000 more relations
Sat Apr 22 14:26:26 2023  elapsed time 00:02:03
-> makeJobFile(): Adjusted to q0=6100001, q1=6200000.
->               client 1 q0: 6100001
  LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 126
        LatSieveTime: 127
        LatSieveTime: 128
        LatSieveTime: 129
        LatSieveTime: 129
        LatSieveTime: 129
        LatSieveTime: 130
        LatSieveTime: 131
        LatSieveTime: 132
        LatSieveTime: 132
        LatSieveTime: 132
        LatSieveTime: 132
        LatSieveTime: 134
        LatSieveTime: 134
        LatSieveTime: 135
        LatSieveTime: 136
        LatSieveTime: 137
        LatSieveTime: 136
        LatSieveTime: 138
        LatSieveTime: 142
        LatSieveTime: 142
        LatSieveTime: 143
        LatSieveTime: 143
        LatSieveTime: 145
        LatSieveTime: 146
        LatSieveTime: 146
        LatSieveTime: 150
Sat Apr 22 14:29:02 2023  
Sat Apr 22 14:29:02 2023  
Sat Apr 22 14:29:02 2023  Msieve v. 1.52 (SVN 927)
Sat Apr 22 14:29:02 2023  random seeds: 697b3728 a22939f4
Sat Apr 22 14:29:02 2023  factoring 620368506782940831391231999692306152629108898699289439273168036914166014242980925442161468856816419713692058890912574439356309 (126 digits)
Sat Apr 22 14:29:03 2023  searching for 15-digit factors
Sat Apr 22 14:29:03 2023  commencing number field sieve (126-digit input)
Sat Apr 22 14:29:03 2023  R0: -1706719252781195789505661
Sat Apr 22 14:29:03 2023  R1: 45363385710467
Sat Apr 22 14:29:03 2023  A0: 1332247361693535137682067504400
Sat Apr 22 14:29:03 2023  A1: -87889323657391988324268556
Sat Apr 22 14:29:03 2023  A2: 239114376291285904766
Sat Apr 22 14:29:03 2023  A3: 21743808761638101
Sat Apr 22 14:29:03 2023  A4: -37697688726
Sat Apr 22 14:29:03 2023  A5: 42840
Sat Apr 22 14:29:03 2023  skew 133611.33, size 2.952e-012, alpha -6.832, combined = 1.090e-010 rroots = 3
Sat Apr 22 14:29:03 2023  
Sat Apr 22 14:29:03 2023  commencing relation filtering
Sat Apr 22 14:29:03 2023  estimated available RAM is 65413.5 MB
Sat Apr 22 14:29:03 2023  commencing duplicate removal, pass 1
Sat Apr 22 14:29:39 2023  found 2027151 hash collisions in 16871889 relations
Sat Apr 22 14:29:58 2023  added 296 free relations
Sat Apr 22 14:29:58 2023  commencing duplicate removal, pass 2
Sat Apr 22 14:30:04 2023  found 1371378 duplicates and 15500807 unique relations
Sat Apr 22 14:30:04 2023  memory use: 82.6 MB
Sat Apr 22 14:30:04 2023  reading ideals above 720000
Sat Apr 22 14:30:04 2023  commencing singleton removal, initial pass
Sat Apr 22 14:30:58 2023  memory use: 376.5 MB
Sat Apr 22 14:30:58 2023  reading all ideals from disk
Sat Apr 22 14:30:59 2023  memory use: 461.3 MB
Sat Apr 22 14:30:59 2023  keeping 18540358 ideals with weight <= 200, target excess is 116401
Sat Apr 22 14:31:00 2023  commencing in-memory singleton removal
Sat Apr 22 14:31:01 2023  begin with 15500807 relations and 18540358 unique ideals
Sat Apr 22 14:31:08 2023  reduce to 3022677 relations and 3248462 ideals in 32 passes
Sat Apr 22 14:31:08 2023  max relations containing the same ideal: 62
Sat Apr 22 14:31:09 2023  filtering wants 1000000 more relations
Sat Apr 22 14:31:09 2023  elapsed time 00:02:07
-> makeJobFile(): Adjusted to q0=6200001, q1=6300000.
->               client 1 q0: 6200001
  LatSieveTime: 105
        LatSieveTime: 110
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 121
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 127
        LatSieveTime: 127
        LatSieveTime: 127
        LatSieveTime: 129
        LatSieveTime: 129
        LatSieveTime: 129
        LatSieveTime: 130
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 132
        LatSieveTime: 133
        LatSieveTime: 134
        LatSieveTime: 134
        LatSieveTime: 134
        LatSieveTime: 134
        LatSieveTime: 134
        LatSieveTime: 135
        LatSieveTime: 136
        LatSieveTime: 137
        LatSieveTime: 138
        LatSieveTime: 139
        LatSieveTime: 141
        LatSieveTime: 144
        LatSieveTime: 147
        LatSieveTime: 149
        LatSieveTime: 152
Sat Apr 22 14:33:47 2023  
Sat Apr 22 14:33:47 2023  
Sat Apr 22 14:33:47 2023  Msieve v. 1.52 (SVN 927)
Sat Apr 22 14:33:47 2023  random seeds: f50a4f68 c90126f9
Sat Apr 22 14:33:47 2023  factoring 620368506782940831391231999692306152629108898699289439273168036914166014242980925442161468856816419713692058890912574439356309 (126 digits)
Sat Apr 22 14:33:48 2023  searching for 15-digit factors
Sat Apr 22 14:33:48 2023  commencing number field sieve (126-digit input)
Sat Apr 22 14:33:48 2023  R0: -1706719252781195789505661
Sat Apr 22 14:33:48 2023  R1: 45363385710467
Sat Apr 22 14:33:48 2023  A0: 1332247361693535137682067504400
Sat Apr 22 14:33:48 2023  A1: -87889323657391988324268556
Sat Apr 22 14:33:48 2023  A2: 239114376291285904766
Sat Apr 22 14:33:48 2023  A3: 21743808761638101
Sat Apr 22 14:33:48 2023  A4: -37697688726
Sat Apr 22 14:33:48 2023  A5: 42840
Sat Apr 22 14:33:48 2023  skew 133611.33, size 2.952e-012, alpha -6.832, combined = 1.090e-010 rroots = 3
Sat Apr 22 14:33:48 2023  
Sat Apr 22 14:33:48 2023  commencing relation filtering
Sat Apr 22 14:33:48 2023  estimated available RAM is 65413.5 MB
Sat Apr 22 14:33:48 2023  commencing duplicate removal, pass 1
Sat Apr 22 14:34:24 2023  found 1772913 hash collisions in 17371322 relations
Sat Apr 22 14:34:43 2023  added 247 free relations
Sat Apr 22 14:34:43 2023  commencing duplicate removal, pass 2
Sat Apr 22 14:34:49 2023  found 1440532 duplicates and 15931037 unique relations
Sat Apr 22 14:34:49 2023  memory use: 69.3 MB
Sat Apr 22 14:34:49 2023  reading ideals above 720000
Sat Apr 22 14:34:49 2023  commencing singleton removal, initial pass
Sat Apr 22 14:35:45 2023  memory use: 376.5 MB
Sat Apr 22 14:35:45 2023  reading all ideals from disk
Sat Apr 22 14:35:45 2023  memory use: 474.3 MB
Sat Apr 22 14:35:46 2023  keeping 18772585 ideals with weight <= 200, target excess is 116515
Sat Apr 22 14:35:47 2023  commencing in-memory singleton removal
Sat Apr 22 14:35:47 2023  begin with 15931037 relations and 18772585 unique ideals
Sat Apr 22 14:35:55 2023  reduce to 3604604 relations and 3745759 ideals in 30 passes
Sat Apr 22 14:35:55 2023  max relations containing the same ideal: 68
Sat Apr 22 14:35:55 2023  filtering wants 1000000 more relations
Sat Apr 22 14:35:55 2023  elapsed time 00:02:08
-> makeJobFile(): Adjusted to q0=6300001, q1=6400000.
->               client 1 q0: 6300001
  LatSieveTime: 104
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 127
        LatSieveTime: 127
        LatSieveTime: 127
        LatSieveTime: 128
        LatSieveTime: 128
        LatSieveTime: 129
        LatSieveTime: 129
        LatSieveTime: 129
        LatSieveTime: 130
        LatSieveTime: 130
        LatSieveTime: 132
        LatSieveTime: 132
        LatSieveTime: 134
        LatSieveTime: 134
        LatSieveTime: 135
        LatSieveTime: 135
        LatSieveTime: 135
        LatSieveTime: 136
        LatSieveTime: 137
        LatSieveTime: 138
        LatSieveTime: 139
        LatSieveTime: 139
        LatSieveTime: 142
        LatSieveTime: 143
        LatSieveTime: 146
        LatSieveTime: 149
        LatSieveTime: 149
Sat Apr 22 14:38:31 2023  
Sat Apr 22 14:38:31 2023  
Sat Apr 22 14:38:31 2023  Msieve v. 1.52 (SVN 927)
Sat Apr 22 14:38:31 2023  random seeds: 35eae7d0 d7a32cb3
Sat Apr 22 14:38:31 2023  factoring 620368506782940831391231999692306152629108898699289439273168036914166014242980925442161468856816419713692058890912574439356309 (126 digits)
Sat Apr 22 14:38:31 2023  searching for 15-digit factors
Sat Apr 22 14:38:31 2023  commencing number field sieve (126-digit input)
Sat Apr 22 14:38:31 2023  R0: -1706719252781195789505661
Sat Apr 22 14:38:31 2023  R1: 45363385710467
Sat Apr 22 14:38:31 2023  A0: 1332247361693535137682067504400
Sat Apr 22 14:38:31 2023  A1: -87889323657391988324268556
Sat Apr 22 14:38:31 2023  A2: 239114376291285904766
Sat Apr 22 14:38:31 2023  A3: 21743808761638101
Sat Apr 22 14:38:31 2023  A4: -37697688726
Sat Apr 22 14:38:31 2023  A5: 42840
Sat Apr 22 14:38:31 2023  skew 133611.33, size 2.952e-012, alpha -6.832, combined = 1.090e-010 rroots = 3
Sat Apr 22 14:38:31 2023  
Sat Apr 22 14:38:31 2023  commencing relation filtering
Sat Apr 22 14:38:31 2023  estimated available RAM is 65413.5 MB
Sat Apr 22 14:38:31 2023  commencing duplicate removal, pass 1
Sat Apr 22 14:39:09 2023  found 1858138 hash collisions in 17865154 relations
Sat Apr 22 14:39:29 2023  added 253 free relations
Sat Apr 22 14:39:29 2023  commencing duplicate removal, pass 2
Sat Apr 22 14:39:35 2023  found 1510480 duplicates and 16354927 unique relations
Sat Apr 22 14:39:35 2023  memory use: 69.3 MB
Sat Apr 22 14:39:35 2023  reading ideals above 720000
Sat Apr 22 14:39:35 2023  commencing singleton removal, initial pass
Sat Apr 22 14:40:31 2023  memory use: 376.5 MB
Sat Apr 22 14:40:31 2023  reading all ideals from disk
Sat Apr 22 14:40:31 2023  memory use: 487.1 MB
Sat Apr 22 14:40:32 2023  keeping 18994764 ideals with weight <= 200, target excess is 116762
Sat Apr 22 14:40:32 2023  commencing in-memory singleton removal
Sat Apr 22 14:40:33 2023  begin with 16354927 relations and 18994764 unique ideals
Sat Apr 22 14:40:41 2023  reduce to 4161060 relations and 4206272 ideals in 26 passes
Sat Apr 22 14:40:41 2023  max relations containing the same ideal: 75
Sat Apr 22 14:40:42 2023  filtering wants 1000000 more relations
Sat Apr 22 14:40:42 2023  elapsed time 00:02:11
-> makeJobFile(): Adjusted to q0=6400001, q1=6500000.
->               client 1 q0: 6400001
  LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 109
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 116
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 127
        LatSieveTime: 128
        LatSieveTime: 129
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 132
        LatSieveTime: 132
        LatSieveTime: 132
        LatSieveTime: 132
        LatSieveTime: 133
        LatSieveTime: 134
        LatSieveTime: 134
        LatSieveTime: 135
        LatSieveTime: 135
        LatSieveTime: 136
        LatSieveTime: 136
        LatSieveTime: 138
        LatSieveTime: 139
        LatSieveTime: 140
        LatSieveTime: 141
        LatSieveTime: 142
        LatSieveTime: 143
        LatSieveTime: 145
        LatSieveTime: 150
        LatSieveTime: 157
Sat Apr 22 14:43:26 2023  
Sat Apr 22 14:43:26 2023  
Sat Apr 22 14:43:26 2023  Msieve v. 1.52 (SVN 927)
Sat Apr 22 14:43:26 2023  random seeds: c4a6a6c0 270bd444
Sat Apr 22 14:43:26 2023  factoring 620368506782940831391231999692306152629108898699289439273168036914166014242980925442161468856816419713692058890912574439356309 (126 digits)
Sat Apr 22 14:43:26 2023  searching for 15-digit factors
Sat Apr 22 14:43:26 2023  commencing number field sieve (126-digit input)
Sat Apr 22 14:43:26 2023  R0: -1706719252781195789505661
Sat Apr 22 14:43:26 2023  R1: 45363385710467
Sat Apr 22 14:43:26 2023  A0: 1332247361693535137682067504400
Sat Apr 22 14:43:26 2023  A1: -87889323657391988324268556
Sat Apr 22 14:43:26 2023  A2: 239114376291285904766
Sat Apr 22 14:43:26 2023  A3: 21743808761638101
Sat Apr 22 14:43:26 2023  A4: -37697688726
Sat Apr 22 14:43:26 2023  A5: 42840
Sat Apr 22 14:43:26 2023  skew 133611.33, size 2.952e-012, alpha -6.832, combined = 1.090e-010 rroots = 3
Sat Apr 22 14:43:26 2023  
Sat Apr 22 14:43:26 2023  commencing relation filtering
Sat Apr 22 14:43:26 2023  estimated available RAM is 65413.5 MB
Sat Apr 22 14:43:26 2023  commencing duplicate removal, pass 1
Sat Apr 22 14:44:05 2023  found 1944899 hash collisions in 18358720 relations
Sat Apr 22 14:44:24 2023  added 221 free relations
Sat Apr 22 14:44:24 2023  commencing duplicate removal, pass 2
Sat Apr 22 14:44:30 2023  found 1581657 duplicates and 16777284 unique relations
Sat Apr 22 14:44:30 2023  memory use: 69.3 MB
Sat Apr 22 14:44:30 2023  reading ideals above 720000
Sat Apr 22 14:44:30 2023  commencing singleton removal, initial pass
Sat Apr 22 14:45:28 2023  memory use: 376.5 MB
Sat Apr 22 14:45:28 2023  reading all ideals from disk
Sat Apr 22 14:45:28 2023  memory use: 499.8 MB
Sat Apr 22 14:45:29 2023  keeping 19208420 ideals with weight <= 200, target excess is 117170
Sat Apr 22 14:45:30 2023  commencing in-memory singleton removal
Sat Apr 22 14:45:30 2023  begin with 16777284 relations and 19208420 unique ideals
Sat Apr 22 14:45:40 2023  reduce to 4695712 relations and 4634074 ideals in 27 passes
Sat Apr 22 14:45:40 2023  max relations containing the same ideal: 84
Sat Apr 22 14:45:40 2023  filtering wants 1000000 more relations
Sat Apr 22 14:45:40 2023  elapsed time 00:02:14
-> makeJobFile(): Adjusted to q0=6500001, q1=6600000.
->               client 1 q0: 6500001
  LatSieveTime: 99
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 115
        LatSieveTime: 117
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 127
        LatSieveTime: 127
        LatSieveTime: 127
        LatSieveTime: 129
        LatSieveTime: 130
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 132
        LatSieveTime: 133
        LatSieveTime: 133
        LatSieveTime: 133
        LatSieveTime: 135
        LatSieveTime: 139
        LatSieveTime: 140
        LatSieveTime: 141
        LatSieveTime: 141
        LatSieveTime: 144
        LatSieveTime: 144
        LatSieveTime: 144
        LatSieveTime: 145
        LatSieveTime: 145
        LatSieveTime: 146
        LatSieveTime: 147
        LatSieveTime: 150
        LatSieveTime: 150
Sat Apr 22 14:48:18 2023  
Sat Apr 22 14:48:18 2023  
Sat Apr 22 14:48:18 2023  Msieve v. 1.52 (SVN 927)
Sat Apr 22 14:48:18 2023  random seeds: d724b8f0 53163e1f
Sat Apr 22 14:48:18 2023  factoring 620368506782940831391231999692306152629108898699289439273168036914166014242980925442161468856816419713692058890912574439356309 (126 digits)
Sat Apr 22 14:48:18 2023  searching for 15-digit factors
Sat Apr 22 14:48:18 2023  commencing number field sieve (126-digit input)
Sat Apr 22 14:48:18 2023  R0: -1706719252781195789505661
Sat Apr 22 14:48:18 2023  R1: 45363385710467
Sat Apr 22 14:48:18 2023  A0: 1332247361693535137682067504400
Sat Apr 22 14:48:18 2023  A1: -87889323657391988324268556
Sat Apr 22 14:48:18 2023  A2: 239114376291285904766
Sat Apr 22 14:48:18 2023  A3: 21743808761638101
Sat Apr 22 14:48:18 2023  A4: -37697688726
Sat Apr 22 14:48:18 2023  A5: 42840
Sat Apr 22 14:48:18 2023  skew 133611.33, size 2.952e-012, alpha -6.832, combined = 1.090e-010 rroots = 3
Sat Apr 22 14:48:18 2023  
Sat Apr 22 14:48:18 2023  commencing relation filtering
Sat Apr 22 14:48:18 2023  estimated available RAM is 65413.5 MB
Sat Apr 22 14:48:18 2023  commencing duplicate removal, pass 1
Sat Apr 22 14:48:58 2023  found 2033602 hash collisions in 18853057 relations
Sat Apr 22 14:49:18 2023  added 186 free relations
Sat Apr 22 14:49:18 2023  commencing duplicate removal, pass 2
Sat Apr 22 14:49:24 2023  found 1654600 duplicates and 17198643 unique relations
Sat Apr 22 14:49:24 2023  memory use: 98.6 MB
Sat Apr 22 14:49:24 2023  reading ideals above 720000
Sat Apr 22 14:49:25 2023  commencing singleton removal, initial pass
Sat Apr 22 14:50:24 2023  memory use: 376.5 MB
Sat Apr 22 14:50:24 2023  reading all ideals from disk
Sat Apr 22 14:50:24 2023  memory use: 512.6 MB
Sat Apr 22 14:50:25 2023  keeping 19416513 ideals with weight <= 200, target excess is 117735
Sat Apr 22 14:50:26 2023  commencing in-memory singleton removal
Sat Apr 22 14:50:27 2023  begin with 17198643 relations and 19416513 unique ideals
Sat Apr 22 14:50:35 2023  reduce to 5229022 relations and 5050037 ideals in 22 passes
Sat Apr 22 14:50:35 2023  max relations containing the same ideal: 86
Sat Apr 22 14:50:37 2023  removing 355855 relations and 334649 ideals in 21206 cliques
Sat Apr 22 14:50:37 2023  commencing in-memory singleton removal
Sat Apr 22 14:50:37 2023  begin with 4873167 relations and 5050037 unique ideals
Sat Apr 22 14:50:39 2023  reduce to 4851042 relations and 4693109 ideals in 9 passes
Sat Apr 22 14:50:39 2023  max relations containing the same ideal: 82
Sat Apr 22 14:50:40 2023  removing 253808 relations and 232602 ideals in 21206 cliques
Sat Apr 22 14:50:40 2023  commencing in-memory singleton removal
Sat Apr 22 14:50:40 2023  begin with 4597234 relations and 4693109 unique ideals
Sat Apr 22 14:50:43 2023  reduce to 4584586 relations and 4447787 ideals in 11 passes
Sat Apr 22 14:50:43 2023  max relations containing the same ideal: 81
Sat Apr 22 14:50:44 2023  relations with 0 large ideals: 457
Sat Apr 22 14:50:44 2023  relations with 1 large ideals: 2209
Sat Apr 22 14:50:44 2023  relations with 2 large ideals: 33807
Sat Apr 22 14:50:44 2023  relations with 3 large ideals: 213505
Sat Apr 22 14:50:44 2023  relations with 4 large ideals: 700560
Sat Apr 22 14:50:44 2023  relations with 5 large ideals: 1269794
Sat Apr 22 14:50:44 2023  relations with 6 large ideals: 1306013
Sat Apr 22 14:50:44 2023  relations with 7+ large ideals: 1058241
Sat Apr 22 14:50:44 2023  commencing 2-way merge
Sat Apr 22 14:50:46 2023  reduce to 2464096 relation sets and 2327305 unique ideals
Sat Apr 22 14:50:46 2023  ignored 8 oversize relation sets
Sat Apr 22 14:50:46 2023  commencing full merge
Sat Apr 22 14:51:14 2023  memory use: 254.4 MB
Sat Apr 22 14:51:14 2023  found 1221314 cycles, need 1207505
Sat Apr 22 14:51:14 2023  weight of 1207505 cycles is about 84697549 (70.14/cycle)
Sat Apr 22 14:51:14 2023  distribution of cycle lengths:
Sat Apr 22 14:51:14 2023  1 relations: 157592
Sat Apr 22 14:51:14 2023  2 relations: 148398
Sat Apr 22 14:51:14 2023  3 relations: 145446
Sat Apr 22 14:51:14 2023  4 relations: 126245
Sat Apr 22 14:51:14 2023  5 relations: 107945
Sat Apr 22 14:51:14 2023  6 relations: 91249
Sat Apr 22 14:51:14 2023  7 relations: 77047
Sat Apr 22 14:51:14 2023  8 relations: 63474
Sat Apr 22 14:51:14 2023  9 relations: 52254
Sat Apr 22 14:51:14 2023  10+ relations: 237855
Sat Apr 22 14:51:14 2023  heaviest cycle: 25 relations
Sat Apr 22 14:51:14 2023  commencing cycle optimization
Sat Apr 22 14:51:16 2023  start with 7276698 relations
Sat Apr 22 14:51:25 2023  pruned 124999 relations
Sat Apr 22 14:51:25 2023  memory use: 254.7 MB
Sat Apr 22 14:51:25 2023  distribution of cycle lengths:
Sat Apr 22 14:51:25 2023  1 relations: 157592
Sat Apr 22 14:51:25 2023  2 relations: 151376
Sat Apr 22 14:51:25 2023  3 relations: 149437
Sat Apr 22 14:51:25 2023  4 relations: 127987
Sat Apr 22 14:51:25 2023  5 relations: 109423
Sat Apr 22 14:51:25 2023  6 relations: 91439
Sat Apr 22 14:51:25 2023  7 relations: 77068
Sat Apr 22 14:51:25 2023  8 relations: 62839
Sat Apr 22 14:51:25 2023  9 relations: 51328
Sat Apr 22 14:51:25 2023  10+ relations: 229016
Sat Apr 22 14:51:25 2023  heaviest cycle: 25 relations
Sat Apr 22 14:51:26 2023  RelProcTime: 188
Sat Apr 22 14:51:26 2023  elapsed time 00:03:08
Sat Apr 22 14:51:26 2023  
Sat Apr 22 14:51:26 2023  
Sat Apr 22 14:51:26 2023  Msieve v. 1.52 (SVN 927)
Sat Apr 22 14:51:26 2023  random seeds: 1e0acb50 291b860d
Sat Apr 22 14:51:26 2023  factoring 620368506782940831391231999692306152629108898699289439273168036914166014242980925442161468856816419713692058890912574439356309 (126 digits)
Sat Apr 22 14:51:27 2023  searching for 15-digit factors
Sat Apr 22 14:51:27 2023  commencing number field sieve (126-digit input)
Sat Apr 22 14:51:27 2023  R0: -1706719252781195789505661
Sat Apr 22 14:51:27 2023  R1: 45363385710467
Sat Apr 22 14:51:27 2023  A0: 1332247361693535137682067504400
Sat Apr 22 14:51:27 2023  A1: -87889323657391988324268556
Sat Apr 22 14:51:27 2023  A2: 239114376291285904766
Sat Apr 22 14:51:27 2023  A3: 21743808761638101
Sat Apr 22 14:51:27 2023  A4: -37697688726
Sat Apr 22 14:51:27 2023  A5: 42840
Sat Apr 22 14:51:27 2023  skew 133611.33, size 2.952e-012, alpha -6.832, combined = 1.090e-010 rroots = 3
Sat Apr 22 14:51:27 2023  
Sat Apr 22 14:51:27 2023  commencing linear algebra
Sat Apr 22 14:51:27 2023  read 1207505 cycles
Sat Apr 22 14:51:29 2023  cycles contain 4388876 unique relations
Sat Apr 22 14:51:39 2023  read 4388876 relations
Sat Apr 22 14:51:43 2023  using 20 quadratic characters above 268432128
Sat Apr 22 14:51:55 2023  building initial matrix
Sat Apr 22 14:52:20 2023  memory use: 546.1 MB
Sat Apr 22 14:52:21 2023  read 1207505 cycles
Sat Apr 22 14:52:22 2023  matrix is 1207320 x 1207505 (369.2 MB) with weight 116920715 (96.83/col)
Sat Apr 22 14:52:22 2023  sparse part has weight 82297854 (68.16/col)
Sat Apr 22 14:52:28 2023  filtering completed in 2 passes
Sat Apr 22 14:52:29 2023  matrix is 1202694 x 1202878 (368.8 MB) with weight 116711606 (97.03/col)
Sat Apr 22 14:52:29 2023  sparse part has weight 82232708 (68.36/col)
Sat Apr 22 14:52:31 2023  matrix starts at (0, 0)
Sat Apr 22 14:52:31 2023  matrix is 1202694 x 1202878 (368.8 MB) with weight 116711606 (97.03/col)
Sat Apr 22 14:52:31 2023  sparse part has weight 82232708 (68.36/col)
Sat Apr 22 14:52:31 2023  saving the first 48 matrix rows for later
Sat Apr 22 14:52:31 2023  matrix includes 64 packed rows
Sat Apr 22 14:52:32 2023  matrix is 1202646 x 1202878 (356.8 MB) with weight 93564462 (77.78/col)
Sat Apr 22 14:52:32 2023  sparse part has weight 81502358 (67.76/col)
Sat Apr 22 14:52:32 2023  using block size 8192 and superblock size 12582912 for processor cache size 131072 kB
Sat Apr 22 14:52:35 2023  commencing Lanczos iteration (32 threads)
Sat Apr 22 14:52:35 2023  memory use: 281.7 MB
Sat Apr 22 14:52:36 2023  linear algebra at 0.1%, ETA 0h13m
Sat Apr 22 14:52:37 2023  checkpointing every 3650000 dimensions
Sat Apr 22 15:07:33 2023  lanczos halted after 19021 iterations (dim = 1202646)
Sat Apr 22 15:07:34 2023  recovered 30 nontrivial dependencies
Sat Apr 22 15:07:34 2023  BLanczosTime: 967
Sat Apr 22 15:07:34 2023  elapsed time 00:16:08
Sat Apr 22 15:07:34 2023  
Sat Apr 22 15:07:34 2023  
Sat Apr 22 15:07:34 2023  Msieve v. 1.52 (SVN 927)
Sat Apr 22 15:07:34 2023  random seeds: f6bee10c ba5efe3e
Sat Apr 22 15:07:34 2023  factoring 620368506782940831391231999692306152629108898699289439273168036914166014242980925442161468856816419713692058890912574439356309 (126 digits)
Sat Apr 22 15:07:35 2023  searching for 15-digit factors
Sat Apr 22 15:07:35 2023  commencing number field sieve (126-digit input)
Sat Apr 22 15:07:35 2023  R0: -1706719252781195789505661
Sat Apr 22 15:07:35 2023  R1: 45363385710467
Sat Apr 22 15:07:35 2023  A0: 1332247361693535137682067504400
Sat Apr 22 15:07:35 2023  A1: -87889323657391988324268556
Sat Apr 22 15:07:35 2023  A2: 239114376291285904766
Sat Apr 22 15:07:35 2023  A3: 21743808761638101
Sat Apr 22 15:07:35 2023  A4: -37697688726
Sat Apr 22 15:07:35 2023  A5: 42840
Sat Apr 22 15:07:35 2023  skew 133611.33, size 2.952e-012, alpha -6.832, combined = 1.090e-010 rroots = 3
Sat Apr 22 15:07:35 2023  
Sat Apr 22 15:07:35 2023  commencing square root phase
Sat Apr 22 15:07:35 2023  reading relations for dependency 1
Sat Apr 22 15:07:35 2023  read 602208 cycles
Sat Apr 22 15:07:36 2023  cycles contain 2196082 unique relations
Sat Apr 22 15:07:41 2023  read 2196082 relations
Sat Apr 22 15:07:47 2023  multiplying 2196082 relations
Sat Apr 22 15:08:46 2023  multiply complete, coefficients have about 103.99 million bits
Sat Apr 22 15:08:47 2023  initial square root is modulo 29114333
Sat Apr 22 15:10:10 2023  GCD is 1, no factor found
Sat Apr 22 15:10:10 2023  reading relations for dependency 2
Sat Apr 22 15:10:10 2023  read 601178 cycles
Sat Apr 22 15:10:11 2023  cycles contain 2193474 unique relations
Sat Apr 22 15:10:17 2023  read 2193474 relations
Sat Apr 22 15:10:22 2023  multiplying 2193474 relations
Sat Apr 22 15:11:21 2023  multiply complete, coefficients have about 103.87 million bits
Sat Apr 22 15:11:22 2023  initial square root is modulo 28530599
Sat Apr 22 15:12:45 2023  sqrtTime: 310
Sat Apr 22 15:12:45 2023  prp51 factor: 355195146668945573846479508391097132627602992602997
Sat Apr 22 15:12:45 2023  prp76 factor: 1746556822639094779227188002721773684876709415545571185789779995307285844897
Sat Apr 22 15:12:45 2023  elapsed time 00:05:11
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)
403e61792Dmitry DomanovMarch 13, 2023 17:48:07 UTC 2023 年 3 月 14 日 (火) 2 時 48 分 7 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovApril 14, 2023 07:32:29 UTC 2023 年 4 月 14 日 (金) 16 時 32 分 29 秒 (日本時間)

89×10245-629

c186

composite cofactor 合成数の残り
203068943030248848052216769995776504299988913918321763884246902408870322505472689823088019654328259428483162954688342630975614977408840007908172340723926911068590777482495570736753435827<186>

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 DomanovMarch 13, 2023 17:48:10 UTC 2023 年 3 月 14 日 (火) 2 時 48 分 10 秒 (日本時間)
4511e62792 / 40381000Dmitry DomanovMarch 31, 2023 22:04:17 UTC 2023 年 4 月 1 日 (土) 7 時 4 分 17 秒 (日本時間)
1792Dmitry DomanovFebruary 14, 2024 15:39:25 UTC 2024 年 2 月 15 日 (木) 0 時 39 分 25 秒 (日本時間)

89×10246-629

c193

name 名前Dmitry Domanov
date 日付March 4, 2023 11:21:55 UTC 2023 年 3 月 4 日 (土) 20 時 21 分 55 秒 (日本時間)
composite number 合成数
1162490587899319281539973960938908098937282087463434936554339995461863777116179634059925145086343421598217856088900119587036772710853933224576953869783010490868841595382601651601896108959532549<193>
prime factors 素因数
46395966856810589049021354136408423591<38>
25055854348009435960348928805804418738186556541160807131516534355776372526364868529966323881358112729677286928831793184473273269148835837508395521034887539<155>
factorization results 素因数分解の結果
Resuming ECM residue saved by @747eea60f274 with GMP-ECM 7.0.5-dev on Thu Mar  2 14:01:46 2023 
Input number is 1162490587899319281539973960938908098937282087463434936554339995461863777116179634059925145086343421598217856088900119587036772710853933224576953869783010490868841595382601651601896108959532549 (193 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2406917255
Step 1 took 0ms
Step 2 took 4749ms
********** Factor found in step 2: 46395966856810589049021354136408423591
Found prime factor of 38 digits: 46395966856810589049021354136408423591
Prime cofactor 25055854348009435960348928805804418738186556541160807131516534355776372526364868529966323881358112729677286928831793184473273269148835837508395521034887539 has 155 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)

89×10247-629

c248

composite cofactor 合成数の残り
49444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441<248>

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 DomanovMarch 13, 2023 17:48:13 UTC 2023 年 3 月 14 日 (火) 2 時 48 分 13 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovMarch 29, 2023 23:33:20 UTC 2023 年 3 月 30 日 (木) 8 時 33 分 20 秒 (日本時間)
1792Dmitry DomanovFebruary 13, 2024 19:42:04 UTC 2024 年 2 月 14 日 (水) 4 時 42 分 4 秒 (日本時間)

89×10248-629

c238

composite cofactor 合成数の残り
3206238980040430960024768990288195106641387155663767735347158501036509000998556486847919657309496154624698395813606435956058148709358941535638744301146951397250386432861083457120322854354737657751339837039702254915350646271878211973471299<238>

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 DomanovMarch 13, 2023 17:48:17 UTC 2023 年 3 月 14 日 (火) 2 時 48 分 17 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovMarch 29, 2023 23:33:27 UTC 2023 年 3 月 30 日 (木) 8 時 33 分 27 秒 (日本時間)
1792Dmitry DomanovFebruary 13, 2024 19:42:10 UTC 2024 年 2 月 14 日 (水) 4 時 42 分 10 秒 (日本時間)

89×10249-629

c213

composite cofactor 合成数の残り
124253096972446571374923800764723938354876537640418782422320634209793605048650308803049100230342394914607782038005272772943883054772792779447898788164075614673561898737863142009807826705894629674634827165068031699<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)
403e61792Dmitry DomanovMarch 13, 2023 17:48:21 UTC 2023 年 3 月 14 日 (火) 2 時 48 分 21 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovApril 14, 2023 07:33:29 UTC 2023 年 4 月 14 日 (金) 16 時 33 分 29 秒 (日本時間)
1792Dmitry DomanovFebruary 14, 2024 15:39:33 UTC 2024 年 2 月 15 日 (木) 0 時 39 分 33 秒 (日本時間)

89×10250-629

c203

name 名前Dmitry Domanov
date 日付April 18, 2023 05:36:52 UTC 2023 年 4 月 18 日 (火) 14 時 36 分 52 秒 (日本時間)
composite number 合成数
57637282343776492455268444508231951959132911260118551531173203587005694174066823554203045420688266781174641865821640183579638595736891239294969050449817727641071941048159639783473691788374120789021544709<203>
prime factors 素因数
40115433618533062905573988420497093868391303<44>
1436785724214344581995826072744301887437886384262870661497436791455319468668260407505529163315469205199405513884532973615552522999003272786759963787629426563603<160>
factorization results 素因数分解の結果
Resuming ECM residue saved by @ae5d10bcd9b4 with GMP-ECM 7.0.5-dev on Fri Apr 14 10:05:20 2023 
Input number is 57637282343776492455268444508231951959132911260118551531173203587005694174066823554203045420688266781174641865821640183579638595736891239294969050449817727641071941048159639783473691788374120789021544709 (203 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:723756665
Step 1 took 0ms
Step 2 took 12690ms
********** Factor found in step 2: 40115433618533062905573988420497093868391303
Found prime factor of 44 digits: 40115433618533062905573988420497093868391303
Prime cofactor 1436785724214344581995826072744301887437886384262870661497436791455319468668260407505529163315469205199405513884532973615552522999003272786759963787629426563603 has 160 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)
403e61792Dmitry DomanovMarch 13, 2023 17:48:25 UTC 2023 年 3 月 14 日 (火) 2 時 48 分 25 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovApril 14, 2023 07:33:39 UTC 2023 年 4 月 14 日 (金) 16 時 33 分 39 秒 (日本時間)

89×10251-629

c189

composite cofactor 合成数の残り
164160320150326093928756167292262483854270357127445225980874666888427380356537858783168730636780135465093880881379581685884265953339379339373532147657456225000020530833467075365221868746519<189>

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 DomanovMarch 13, 2023 17:48:28 UTC 2023 年 3 月 14 日 (火) 2 時 48 分 28 秒 (日本時間)
4511e62792 / 40381000Dmitry DomanovMarch 31, 2023 22:04:25 UTC 2023 年 4 月 1 日 (土) 7 時 4 分 25 秒 (日本時間)
1792Dmitry DomanovFebruary 14, 2024 15:42:07 UTC 2024 年 2 月 15 日 (木) 0 時 42 分 7 秒 (日本時間)

89×10252-629

c235

name 名前Dmitry Domanov
date 日付April 1, 2023 08:39:50 UTC 2023 年 4 月 1 日 (土) 17 時 39 分 50 秒 (日本時間)
composite number 合成数
2097779600741659220257358486374541243783311281264922022084765208269724645180804136089327323581652618814931659482044057627727141000814110642430760528473472902898169716425405516887515062494125085491312812017239818210186908545967235617257<235>
prime factors 素因数
3092353440203289520176208737868705270583<40>
composite cofactor 合成数の残り
678376402085446095378588193026138711125581484993002129135052291298772547254662181577237892400194688679267274212418181352459704621925243018685576107355228103607710575545581068463845141434534976479<195>
factorization results 素因数分解の結果
Resuming ECM residue saved by @4296915dec4c with GMP-ECM 7.0.5-dev on Thu Mar 30 00:43:39 2023 
Input number is 2097779600741659220257358486374541243783311281264922022084765208269724645180804136089327323581652618814931659482044057627727141000814110642430760528473472902898169716425405516887515062494125085491312812017239818210186908545967235617257 (235 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3197666294
Step 1 took 0ms
Step 2 took 15620ms
********** Factor found in step 2: 3092353440203289520176208737868705270583
Found prime factor of 40 digits: 3092353440203289520176208737868705270583
Composite cofactor 678376402085446095378588193026138711125581484993002129135052291298772547254662181577237892400194688679267274212418181352459704621925243018685576107355228103607710575545581068463845141434534976479 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)
403e61792Dmitry DomanovMarch 13, 2023 17:48:32 UTC 2023 年 3 月 14 日 (火) 2 時 48 分 32 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovMarch 29, 2023 23:33:35 UTC 2023 年 3 月 30 日 (木) 8 時 33 分 35 秒 (日本時間)
1792Dmitry DomanovFebruary 14, 2024 15:42:16 UTC 2024 年 2 月 15 日 (木) 0 時 42 分 16 秒 (日本時間)

89×10254-629

c218

composite cofactor 合成数の残り
26672498752119737015406397337963857950682796678005632725454560351563220237276609781604053115895783577798139383310448797782902421329368224103024960133407860560332158061914030736782210137362844642475685664723939866572733<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:48:36 UTC 2023 年 3 月 14 日 (火) 2 時 48 分 36 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovApril 14, 2023 07:33:46 UTC 2023 年 4 月 14 日 (金) 16 時 33 分 46 秒 (日本時間)
1792Dmitry DomanovFebruary 14, 2024 15:42:24 UTC 2024 年 2 月 15 日 (木) 0 時 42 分 24 秒 (日本時間)

89×10256-629

c242

composite cofactor 合成数の残り
68735485229312635501669556467993963649321505664800872666018355314673596661338068635029351644541245309933146711065028308461821547582253954893492114733208067113949298468874311658691489813004467373475170732846811450454223982950751362017502552851<242>

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 DomanovMarch 13, 2023 17:48:40 UTC 2023 年 3 月 14 日 (火) 2 時 48 分 40 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovMarch 29, 2023 23:33:42 UTC 2023 年 3 月 30 日 (木) 8 時 33 分 42 秒 (日本時間)
1792Dmitry DomanovFebruary 13, 2024 19:42:17 UTC 2024 年 2 月 14 日 (水) 4 時 42 分 17 秒 (日本時間)

89×10257-629

c231

name 名前Dmitry Domanov
date 日付March 3, 2023 07:24:39 UTC 2023 年 3 月 3 日 (金) 16 時 24 分 39 秒 (日本時間)
composite number 合成数
368102857567320820767068343384358567906671225459497794666245739184756405389395424077699337969059625301014745806105238069938788901099105775652828514494615951452348403939411190058461185389893145728493827123981433522372140528501277723<231>
prime factors 素因数
3503154142258428058768577828709437<34>
105077550863922513997429562704188320927314194605314608311947601728635584909877103808108349870082541217231381294299350573410641049551054632375897969064443700567750368693120642579620274371669023610679<198>
factorization results 素因数分解の結果
Resuming ECM residue saved by @747eea60f274 with GMP-ECM 7.0.5-dev on Thu Mar  2 14:59:25 2023 
Input number is 368102857567320820767068343384358567906671225459497794666245739184756405389395424077699337969059625301014745806105238069938788901099105775652828514494615951452348403939411190058461185389893145728493827123981433522372140528501277723 (231 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1208051276
Step 1 took 0ms
Step 2 took 5778ms
********** Factor found in step 2: 3503154142258428058768577828709437
Found prime factor of 34 digits: 3503154142258428058768577828709437
Prime cofactor 105077550863922513997429562704188320927314194605314608311947601728635584909877103808108349870082541217231381294299350573410641049551054632375897969064443700567750368693120642579620274371669023610679 has 198 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)

89×10258-629

c251

composite cofactor 合成数の残り
83206216205152543629642243318045808484895372698695327090843991521409975667305019147984762926165621532082939859083560265199414607433885308226237163358657696827141858751068225243625043089834903927326112653015787523155331696055635124070780323284047411979<251>

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 DomanovMarch 13, 2023 17:49:27 UTC 2023 年 3 月 14 日 (火) 2 時 49 分 27 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovMarch 17, 2023 23:07:42 UTC 2023 年 3 月 18 日 (土) 8 時 7 分 42 秒 (日本時間)
1792Dmitry DomanovFebruary 18, 2024 09:08:47 UTC 2024 年 2 月 18 日 (日) 18 時 8 分 47 秒 (日本時間)

89×10259-629

c203

composite cofactor 合成数の残り
24541269461969702604145527078473101275071510166719200744745241334166633620079247870058917831895908848289200861636654635212069926057626086190904117028408052219133511535167717465138831576057264464656621981<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:49:31 UTC 2023 年 3 月 14 日 (火) 2 時 49 分 31 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovApril 14, 2023 07:33:54 UTC 2023 年 4 月 14 日 (金) 16 時 33 分 54 秒 (日本時間)
1792Dmitry DomanovFebruary 14, 2024 15:42:32 UTC 2024 年 2 月 15 日 (木) 0 時 42 分 32 秒 (日本時間)

89×10260-629

c228

composite cofactor 合成数の残り
206752267939823615054028514160302211010296758823899152985103990760291086741925158948514480974956402326340542168368063874193332885339875273634337624930100692295343980413715325391141969192040263673571338254672206772190378864303039<228>

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 DomanovMarch 13, 2023 17:49:34 UTC 2023 年 3 月 14 日 (火) 2 時 49 分 34 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovApril 14, 2023 07:34:02 UTC 2023 年 4 月 14 日 (金) 16 時 34 分 2 秒 (日本時間)
1792Dmitry DomanovFebruary 14, 2024 15:42:39 UTC 2024 年 2 月 15 日 (木) 0 時 42 分 39 秒 (日本時間)

89×10261-629

c247

composite cofactor 合成数の残り
9984185543066581174359933706339513946895152799579684563191423933000382833934063362807661412227485472088783956842785864952679295671097167353325607315829194098198380197708390846178824494426125215971960882947223233286218755904518453005483446438269023<247>

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 DomanovMarch 13, 2023 17:49:38 UTC 2023 年 3 月 14 日 (火) 2 時 49 分 38 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovMarch 29, 2023 23:33:49 UTC 2023 年 3 月 30 日 (木) 8 時 33 分 49 秒 (日本時間)
1792Dmitry DomanovFebruary 13, 2024 19:42:25 UTC 2024 年 2 月 14 日 (水) 4 時 42 分 25 秒 (日本時間)

89×10263-629

c237

composite cofactor 合成数の残り
207117448789561423583370770952538172227101093518401336203408028546409527799304727003853710290273949510667181373406773255425689960093531651535417820695058707835934030829981060068435319298923930460929721186008654208944797982341326346165369<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)
403e61792Dmitry DomanovMarch 13, 2023 17:49:42 UTC 2023 年 3 月 14 日 (火) 2 時 49 分 42 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovMarch 29, 2023 23:33:56 UTC 2023 年 3 月 30 日 (木) 8 時 33 分 56 秒 (日本時間)
1792Dmitry DomanovFebruary 13, 2024 19:42:32 UTC 2024 年 2 月 14 日 (水) 4 時 42 分 32 秒 (日本時間)

89×10264-629

c195

composite cofactor 合成数の残り
313267463996422752230502709381142125965052952796239433003485857406933227708404400351573579796933639702426187622037033341585317724212645633477480025956140244204979197232544446681028577773521748731<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:49:45 UTC 2023 年 3 月 14 日 (火) 2 時 49 分 45 秒 (日本時間)
4511e62792 / 40381000Dmitry DomanovMarch 31, 2023 22:04:40 UTC 2023 年 4 月 1 日 (土) 7 時 4 分 40 秒 (日本時間)
1792Dmitry DomanovFebruary 14, 2024 15:42:47 UTC 2024 年 2 月 15 日 (木) 0 時 42 分 47 秒 (日本時間)

89×10265-629

c236

composite cofactor 合成数の残り
14611417020960890094939509316219031628833605764132214484999287698826138165346420659984872633144493032115601232871924280589313768011750787841233393416965820816950948902901318264078891590394999047560268302473080383284928197736230358779753<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)
403e61792Dmitry DomanovMarch 13, 2023 17:49:48 UTC 2023 年 3 月 14 日 (火) 2 時 49 分 48 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovMarch 29, 2023 23:34:03 UTC 2023 年 3 月 30 日 (木) 8 時 34 分 3 秒 (日本時間)
1792Dmitry DomanovFebruary 13, 2024 19:42:40 UTC 2024 年 2 月 14 日 (水) 4 時 42 分 40 秒 (日本時間)

89×10266-629

c230

composite cofactor 合成数の残り
68533343508585787629158160611345567290398841917114863332953574785993087039049000986847198334431519913791215215240878455265823685824696151497767435198351485240824826434485191840806381581987032341356256795222802471998314649079656449<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)
403e61792Dmitry DomanovMarch 13, 2023 17:49:51 UTC 2023 年 3 月 14 日 (火) 2 時 49 分 51 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 29, 2023 23:34:10 UTC 2023 年 3 月 30 日 (木) 8 時 34 分 10 秒 (日本時間)

89×10268-629

c257

name 名前Dmitry Domanov
date 日付March 22, 2023 00:04:37 UTC 2023 年 3 月 22 日 (水) 9 時 4 分 37 秒 (日本時間)
composite number 合成数
89027378241017052257906300693142669911069684422283714649987740903538069232356655142093657857190476350005449884651686274761004136893078729255690314422962360397256957588588424072660514304239940996511896349343029737177638394295201178837379083098016119301957411<257>
prime factors 素因数
5147161977135419726057798333732862218832939401<46>
composite cofactor 合成数の残り
17296401130660353095588326831655774872105158183199076971569200196140204270109094005243943206708845886075882753567505710065672344919303144839495292935519070607879671455164990151829764511677450290003052157994024011<212>
factorization results 素因数分解の結果
Resuming ECM residue saved by @9ddd5c4fbeea with GMP-ECM 7.0.5-dev on Sat Mar 18 23:41:14 2023 
Input number is 89027378241017052257906300693142669911069684422283714649987740903538069232356655142093657857190476350005449884651686274761004136893078729255690314422962360397256957588588424072660514304239940996511896349343029737177638394295201178837379083098016119301957411 (257 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2645917968
Step 1 took 0ms
Step 2 took 22124ms
********** Factor found in step 2: 5147161977135419726057798333732862218832939401
Found prime factor of 46 digits: 5147161977135419726057798333732862218832939401
Composite cofactor 17296401130660353095588326831655774872105158183199076971569200196140204270109094005243943206708845886075882753567505710065672344919303144839495292935519070607879671455164990151829764511677450290003052157994024011 has 212 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)
403e61792Dmitry DomanovMarch 13, 2023 17:49:54 UTC 2023 年 3 月 14 日 (火) 2 時 49 分 54 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovMarch 17, 2023 23:07:53 UTC 2023 年 3 月 18 日 (土) 8 時 7 分 53 秒 (日本時間)
1792Dmitry DomanovFebruary 14, 2024 15:42:54 UTC 2024 年 2 月 15 日 (木) 0 時 42 分 54 秒 (日本時間)

89×10269-629

c247

composite cofactor 合成数の残り
1529325515578350571837286552213373485538674658415862186544080758613352980496516440023589822493621789050674118685404597272552824496263736510504544976407318135104263674851628958629237945484816941461162265459677044761256460808769018786674375897546777<247>

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 DomanovMarch 13, 2023 17:49:57 UTC 2023 年 3 月 14 日 (火) 2 時 49 分 57 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovMarch 29, 2023 23:34:17 UTC 2023 年 3 月 30 日 (木) 8 時 34 分 17 秒 (日本時間)
1792Dmitry DomanovFebruary 13, 2024 19:42:47 UTC 2024 年 2 月 14 日 (水) 4 時 42 分 47 秒 (日本時間)

89×10270-629

c239

composite cofactor 合成数の残り
48175253338255445235773545661893106190077453733862412175760048975967504717653300211927638599001517784742378790498572268724541167870939626507525136405592992305591791331308698157344221336347394152644983817050347553104464401830592033482902011<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:50:01 UTC 2023 年 3 月 14 日 (火) 2 時 50 分 1 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovMarch 29, 2023 23:34:24 UTC 2023 年 3 月 30 日 (木) 8 時 34 分 24 秒 (日本時間)
1792Dmitry DomanovFebruary 13, 2024 19:42:54 UTC 2024 年 2 月 14 日 (水) 4 時 42 分 54 秒 (日本時間)

89×10271-629

c258

composite cofactor 合成数の残り
105453867850958016849166139585527021520264649854781425040732029854223774108768231866256828390421717678337259782853379016256658273303428524663789094916815219469408287834851946487153451756084735130093114860811686697012325622614189507746625961639483773094557421<258>

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 DomanovMarch 13, 2023 17:50:05 UTC 2023 年 3 月 14 日 (火) 2 時 50 分 5 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovMarch 17, 2023 23:08:01 UTC 2023 年 3 月 18 日 (土) 8 時 8 分 1 秒 (日本時間)
1792Dmitry DomanovFebruary 18, 2024 09:08:55 UTC 2024 年 2 月 18 日 (日) 18 時 8 分 55 秒 (日本時間)

89×10272-629

c248

name 名前Dmitry Domanov
date 日付March 4, 2023 11:21:36 UTC 2023 年 3 月 4 日 (土) 20 時 21 分 36 秒 (日本時間)
composite number 合成数
11446876303317507549654174499326148066348320497470385775830055886333041741354627668996770867031994109202905817520652954493177837881474560607440235918271167050869721348529686191263509883587835742827353067999898582249680890932706370405846580919111289<248>
prime factors 素因数
19656135243178599546744791731271716129903<41>
240360070833169210061420937708070563099263<42>
composite cofactor 合成数の残り
2422850040639843923597703364391025663670480931271355061247105253169136133180442164203349759590646210048790997513192283987995884030167474680151930936288751735106068201<166>
factorization results 素因数分解の結果
Resuming ECM residue saved by @747eea60f274 with GMP-ECM 7.0.5-dev on Thu Mar  2 13:58:51 2023 
Input number is 11446876303317507549654174499326148066348320497470385775830055886333041741354627668996770867031994109202905817520652954493177837881474560607440235918271167050869721348529686191263509883587835742827353067999898582249680890932706370405846580919111289 (248 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2195139757
Step 1 took 0ms
Step 2 took 6297ms
********** Factor found in step 2: 240360070833169210061420937708070563099263
Found prime factor of 42 digits: 240360070833169210061420937708070563099263
Composite cofactor 47623868072757538335737092805311416427917864619099474143054263695413209130592708143730567843310180692042467269793126002712358243163674003766155625833132196885839650199702939448223457633200643003786493514503 has 206 digits
---
Resuming ECM residue saved by @747eea60f274 with GMP-ECM 7.0.5-dev on Thu Mar  2 13:58:51 2023 
Input number is 47623868072757538335737092805311416427917864619099474143054263695413209130592708143730567843310180692042467269793126002712358243163674003766155625833132196885839650199702939448223457633200643003786493514503 (206 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2195140076
Step 1 took 0ms
Step 2 took 5116ms
********** Factor found in step 2: 19656135243178599546744791731271716129903
Found prime factor of 41 digits: 19656135243178599546744791731271716129903
Composite cofactor 2422850040639843923597703364391025663670480931271355061247105253169136133180442164203349759590646210048790997513192283987995884030167474680151930936288751735106068201 has 166 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 8, 2023 23:29:23 UTC 2023 年 3 月 9 日 (木) 8 時 29 分 23 秒 (日本時間)
4511e64480Ignacio SantosMarch 9, 2023 10:34:46 UTC 2023 年 3 月 9 日 (木) 19 時 34 分 46 秒 (日本時間)

89×10273-629

c249

composite cofactor 合成数の残り
140761363972470272729477455392509886607384657115062120375939901582223111399540024695407907703954376696469974509694155646339006062487452284903850144781888263371265435608121110567806990185390970832129963797575512825019241777622940477120358349577448763<249>

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 DomanovMarch 13, 2023 17:50:11 UTC 2023 年 3 月 14 日 (火) 2 時 50 分 11 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovMarch 29, 2023 23:34:34 UTC 2023 年 3 月 30 日 (木) 8 時 34 分 34 秒 (日本時間)
1792Dmitry DomanovFebruary 13, 2024 19:43:01 UTC 2024 年 2 月 14 日 (水) 4 時 43 分 1 秒 (日本時間)

89×10274-629

c252

composite cofactor 合成数の残り
354238207582528246899488954371791221577501259280334488199464843039359159752104033985547281373027527940618145789257902178195902111544005013108836182205452671041777752076688982887582845644692276910375219158038504271847946563262312321463512441904088220211<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:50:14 UTC 2023 年 3 月 14 日 (火) 2 時 50 分 14 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovMarch 17, 2023 23:08:09 UTC 2023 年 3 月 18 日 (土) 8 時 8 分 9 秒 (日本時間)
1792Dmitry DomanovFebruary 18, 2024 09:09:04 UTC 2024 年 2 月 18 日 (日) 18 時 9 分 4 秒 (日本時間)

89×10276-629

c249

composite cofactor 合成数の残り
109838923003600507391751912629065050606371761335612356607593548172217364586570828438061963323989159463005007864638231827243693156883896218499466419379253997708965404209890652773683411915675437884017641683527332535329287237613496876749648600492125963<249>

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 DomanovMarch 13, 2023 17:50:17 UTC 2023 年 3 月 14 日 (火) 2 時 50 分 17 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovMarch 29, 2023 23:34:40 UTC 2023 年 3 月 30 日 (木) 8 時 34 分 40 秒 (日本時間)
1792Dmitry DomanovFebruary 13, 2024 19:43:11 UTC 2024 年 2 月 14 日 (水) 4 時 43 分 11 秒 (日本時間)

89×10277-629

c259

composite cofactor 合成数の残り
3264905748156984815343170023426360031152748734012062443854446921506575872888887361183942612183398295214875465676310130093943777772222081852592492010798317091111678494416904786701005467465680365582151549506662623150104108533494980743149829013427102679691842007<259>

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 DomanovMarch 13, 2023 17:50:23 UTC 2023 年 3 月 14 日 (火) 2 時 50 分 23 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovMarch 17, 2023 23:08:18 UTC 2023 年 3 月 18 日 (土) 8 時 8 分 18 秒 (日本時間)
1792Dmitry DomanovFebruary 18, 2024 09:09:19 UTC 2024 年 2 月 18 日 (日) 18 時 9 分 19 秒 (日本時間)

89×10279-629

c266

composite cofactor 合成数の残り
53777736480770456614183387847473669894320157983580774465626296076562907113094013863228641941735971880416767749444768245963360721849530551875210190254051761526634334484097649408007973724350350424640121465722579558603937578876050018185557669265473417545999415320750999<266>

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 DomanovMarch 13, 2023 17:50:29 UTC 2023 年 3 月 14 日 (火) 2 時 50 分 29 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovMarch 17, 2023 23:08:26 UTC 2023 年 3 月 18 日 (土) 8 時 8 分 26 秒 (日本時間)
1792Dmitry DomanovFebruary 18, 2024 09:09:29 UTC 2024 年 2 月 18 日 (日) 18 時 9 分 29 秒 (日本時間)

89×10280-629

c207

composite cofactor 合成数の残り
138895993242527502274478806810905673452913649911177904646114308267812435785659824518230953742121595664667732767538306088256797459534144335008892851192747892508854451677290434522262215466112410153127838505183<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:50:33 UTC 2023 年 3 月 14 日 (火) 2 時 50 分 33 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovApril 14, 2023 07:34:10 UTC 2023 年 4 月 14 日 (金) 16 時 34 分 10 秒 (日本時間)
1792Dmitry DomanovFebruary 14, 2024 15:43:09 UTC 2024 年 2 月 15 日 (木) 0 時 43 分 9 秒 (日本時間)

89×10281-629

c196

composite cofactor 合成数の残り
2203768168128927632820696002788812823080440264087480657913627779355625709020470545422803046722007304954739236283110319835821656146810501703927927064710906173788056261096540760373149913034165068001<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)
403e61792Dmitry DomanovMarch 13, 2023 17:50:38 UTC 2023 年 3 月 14 日 (火) 2 時 50 分 38 秒 (日本時間)
4511e62792 / 40381000Dmitry DomanovMarch 31, 2023 22:05:12 UTC 2023 年 4 月 1 日 (土) 7 時 5 分 12 秒 (日本時間)
1792Dmitry DomanovFebruary 14, 2024 15:43:17 UTC 2024 年 2 月 15 日 (木) 0 時 43 分 17 秒 (日本時間)

89×10282-629

c282

name 名前Dmitry Domanov
date 日付February 19, 2024 09:32:06 UTC 2024 年 2 月 19 日 (月) 18 時 32 分 6 秒 (日本時間)
composite number 合成数
549382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049<282>
prime factors 素因数
3946652429333436291443680929288953675693671<43>
139202203864242956225143259007072267739212554498875719850411469834415939550081709142393207192366454405675665065897455538495183398776890370696082987232329642973764356386434881989832461217029716611695553374435473560102333771949226590786485319<240>
factorization results 素因数分解の結果
Resuming ECM residue saved by @eb207d0f5751 with GMP-ECM 7.0.5-dev on Sun Feb 18 11:49:38 2024 
Input number is 549382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049 (282 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2211985985
Step 1 took 1ms
Step 2 took 13562ms
********** Factor found in step 2: 3946652429333436291443680929288953675693671
Found prime factor of 43 digits: 3946652429333436291443680929288953675693671
Prime cofactor 139202203864242956225143259007072267739212554498875719850411469834415939550081709142393207192366454405675665065897455538495183398776890370696082987232329642973764356386434881989832461217029716611695553374435473560102333771949226590786485319 has 240 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)
403e61792Dmitry DomanovMarch 13, 2023 17:51:14 UTC 2023 年 3 月 14 日 (火) 2 時 51 分 14 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovMarch 17, 2023 23:08:33 UTC 2023 年 3 月 18 日 (土) 8 時 8 分 33 秒 (日本時間)
1792Dmitry DomanovFebruary 18, 2024 09:09:37 UTC 2024 年 2 月 18 日 (日) 18 時 9 分 37 秒 (日本時間)

89×10283-629

c254

composite cofactor 合成数の残り
68292638141988724471718941764392576867580849010032573928392568652771905563328264902849180392064227881342251850587669500751268038407151078206550507421876839235132031394309037734338169627103836602850302807704099304094040228516334393569493955455300144519897<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)
403e61792Dmitry DomanovMarch 13, 2023 17:51:18 UTC 2023 年 3 月 14 日 (火) 2 時 51 分 18 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovMarch 17, 2023 23:08:40 UTC 2023 年 3 月 18 日 (土) 8 時 8 分 40 秒 (日本時間)
1792Dmitry DomanovFebruary 18, 2024 09:09:46 UTC 2024 年 2 月 18 日 (日) 18 時 9 分 46 秒 (日本時間)

89×10284-629

c249

composite cofactor 合成数の残り
355045013357403423479065952027604734974545590174435699655153908163936329201771388130608682949926355617359704581576213452337892817521160470699560907114158437110615808943816982009291682655549150283196936819506182501665795347601287893415243059234110989<249>

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 DomanovMarch 13, 2023 17:51:22 UTC 2023 年 3 月 14 日 (火) 2 時 51 分 22 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovMarch 29, 2023 23:34:50 UTC 2023 年 3 月 30 日 (木) 8 時 34 分 50 秒 (日本時間)
1792Dmitry DomanovFebruary 13, 2024 19:43:17 UTC 2024 年 2 月 14 日 (水) 4 時 43 分 17 秒 (日本時間)

89×10285-629

c239

name 名前Dmitry Domanov
date 日付March 4, 2023 11:22:15 UTC 2023 年 3 月 4 日 (土) 20 時 22 分 15 秒 (日本時間)
composite number 合成数
53654558751011702886754354672998486670247470259076393832926167618610793710291240330130196586038360726856162135356088098879068201465028695175129875143740051747528670532671999024509140502689626412298395825630953860148489999933453432950205091<239>
prime factors 素因数
8082000522180922399269292524397168909<37>
composite cofactor 合成数の残り
6638771997571345904047190177632139204426041948020437728495702636762452933294008181676007702590766518087159865123730515334457225523566650576430917541629033577512420051181290109165237211375261305366885999<202>
factorization results 素因数分解の結果
Resuming ECM residue saved by @747eea60f274 with GMP-ECM 7.0.5-dev on Thu Mar  2 14:47:34 2023 
Input number is 53654558751011702886754354672998486670247470259076393832926167618610793710291240330130196586038360726856162135356088098879068201465028695175129875143740051747528670532671999024509140502689626412298395825630953860148489999933453432950205091 (239 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:402064184
Step 1 took 0ms
Step 2 took 6292ms
********** Factor found in step 2: 8082000522180922399269292524397168909
Found prime factor of 37 digits: 8082000522180922399269292524397168909
Composite cofactor 6638771997571345904047190177632139204426041948020437728495702636762452933294008181676007702590766518087159865123730515334457225523566650576430917541629033577512420051181290109165237211375261305366885999 has 202 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)
403e61792Dmitry DomanovMarch 13, 2023 17:51:25 UTC 2023 年 3 月 14 日 (火) 2 時 51 分 25 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovApril 14, 2023 07:34:19 UTC 2023 年 4 月 14 日 (金) 16 時 34 分 19 秒 (日本時間)
1792Dmitry DomanovFebruary 14, 2024 15:43:23 UTC 2024 年 2 月 15 日 (木) 0 時 43 分 23 秒 (日本時間)

89×10287-629

c165

composite cofactor 合成数の残り
140381919715823133298949374678967525250956912786180363832926700279797994579242785931536879932969210589860587946152814809162197049230094180959800792799570669068919969<165>

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 1, 2023 10:22:13 UTC 2023 年 3 月 1 日 (水) 19 時 22 分 13 秒 (日本時間)
4511e64480Ignacio SantosMarch 8, 2023 23:17:19 UTC 2023 年 3 月 9 日 (木) 8 時 17 分 19 秒 (日本時間)

89×10288-629

c279

composite cofactor 合成数の残り
199331565874663719266925033379076434247900664764987993104313794280618222689517174062327909697630508605703916815602729967663733214889312838363047758235715590520446535915571010905808757209707343747229676879330927601730879942257634864218473573201658147199056787942695400685591631527<279>

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 DomanovMarch 13, 2023 17:51:30 UTC 2023 年 3 月 14 日 (火) 2 時 51 分 30 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovMarch 17, 2023 23:08:51 UTC 2023 年 3 月 18 日 (土) 8 時 8 分 51 秒 (日本時間)
1792Dmitry DomanovFebruary 18, 2024 09:09:54 UTC 2024 年 2 月 18 日 (日) 18 時 9 分 54 秒 (日本時間)

89×10290-629

c248

composite cofactor 合成数の残り
13761410510122236859848600881514953714921266222752551126901643653075974570373282310000860219515685288938308539140432014393920872988087628781049689870663626845340915177892393200549642512252130266853338472627694929794352553312443019481777503507369533<248>

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 DomanovMarch 13, 2023 17:51:33 UTC 2023 年 3 月 14 日 (火) 2 時 51 分 33 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovMarch 29, 2023 23:34:57 UTC 2023 年 3 月 30 日 (木) 8 時 34 分 57 秒 (日本時間)
1792Dmitry DomanovFebruary 13, 2024 19:43:39 UTC 2024 年 2 月 14 日 (水) 4 時 43 分 39 秒 (日本時間)

89×10292-629

c252

composite cofactor 合成数の残り
342709719096217892550731700888345203926534806831417626382892362657016413137260557386303223784820192822551077574077451806466056610996645431840639542365770018436666771477463469384656218546855704240649178291343353155300331589233464781703033964592137090099<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:51:37 UTC 2023 年 3 月 14 日 (火) 2 時 51 分 37 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovMarch 17, 2023 23:08:58 UTC 2023 年 3 月 18 日 (土) 8 時 8 分 58 秒 (日本時間)
1792Dmitry DomanovFebruary 18, 2024 09:10:02 UTC 2024 年 2 月 18 日 (日) 18 時 10 分 2 秒 (日本時間)

89×10293-629

c263

composite cofactor 合成数の残り
12259125073854053973319986484327262353315234194758718497392570800074548705192978980685966912145931158934486028475489074312814453460203303973123580968853453394125802827387506333182992787792414774899728487769234891607203776200221905369143946722482266315612314884819<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)
403e61792Dmitry DomanovMarch 13, 2023 17:51:40 UTC 2023 年 3 月 14 日 (火) 2 時 51 分 40 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovMarch 17, 2023 23:09:06 UTC 2023 年 3 月 18 日 (土) 8 時 9 分 6 秒 (日本時間)
1792Dmitry DomanovFebruary 18, 2024 09:10:11 UTC 2024 年 2 月 18 日 (日) 18 時 10 分 11 秒 (日本時間)

89×10294-629

c278

composite cofactor 合成数の残り
28895419246196067373449645317794976622298293354360761679518390543250849531105789757507665785263530615445406936329732806164108307439266460653593511076872549294932738810164574509156614703449236058095887176323062671391020008258174902599168078136322753558401575947807162985603981847<278>

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 DomanovMarch 13, 2023 17:51:43 UTC 2023 年 3 月 14 日 (火) 2 時 51 分 43 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovMarch 17, 2023 23:09:16 UTC 2023 年 3 月 18 日 (土) 8 時 9 分 16 秒 (日本時間)
1792Dmitry DomanovFebruary 18, 2024 09:10:19 UTC 2024 年 2 月 18 日 (日) 18 時 10 分 19 秒 (日本時間)

89×10295-629

c281

composite cofactor 合成数の残り
39513363751852735242976404735215430702575731650658754100714719822026968372476282005739599039723075191015351477081924627240124229200370570446927761199024244266724449711614742723594573076928956735486874025818565115043346052744485671201891706051864652041937766810655579597190054071301<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)
403e61792Dmitry DomanovMarch 13, 2023 17:51:47 UTC 2023 年 3 月 14 日 (火) 2 時 51 分 47 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovMarch 17, 2023 23:09:24 UTC 2023 年 3 月 18 日 (土) 8 時 9 分 24 秒 (日本時間)
1792Dmitry DomanovFebruary 18, 2024 09:10:28 UTC 2024 年 2 月 18 日 (日) 18 時 10 分 28 秒 (日本時間)

89×10296-629

c224

name 名前Dmitry Domanov
date 日付March 4, 2023 11:20:44 UTC 2023 年 3 月 4 日 (土) 20 時 20 分 44 秒 (日本時間)
composite number 合成数
15650987968118183395790853735100269924498877393090074511541770673608291991223630132909494684653840775878371713177457024410486586184125321524652238788067149271951431109724408856560776273829197095047409486738807823064549958991<224>
prime factors 素因数
40478025494251673528918278244070834618277<41>
composite cofactor 合成数の残り
386653938205083557347013673217138557990358682768915486511886886751002028711239665721721960994541154408184781334660261399217426544852098297422272119680969840779360719292961710946746083<183>
factorization results 素因数分解の結果
Resuming ECM residue saved by @747eea60f274 with GMP-ECM 7.0.5-dev on Thu Mar  2 13:03:59 2023 
Input number is 15650987968118183395790853735100269924498877393090074511541770673608291991223630132909494684653840775878371713177457024410486586184125321524652238788067149271951431109724408856560776273829197095047409486738807823064549958991 (224 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3979138623
Step 1 took 0ms
Step 2 took 5592ms
********** Factor found in step 2: 40478025494251673528918278244070834618277
Found prime factor of 41 digits: 40478025494251673528918278244070834618277
Composite cofactor 386653938205083557347013673217138557990358682768915486511886886751002028711239665721721960994541154408184781334660261399217426544852098297422272119680969840779360719292961710946746083 has 183 digits

c183

name 名前Ignacio Santos
date 日付March 12, 2023 09:34:21 UTC 2023 年 3 月 12 日 (日) 18 時 34 分 21 秒 (日本時間)
composite number 合成数
386653938205083557347013673217138557990358682768915486511886886751002028711239665721721960994541154408184781334660261399217426544852098297422272119680969840779360719292961710946746083<183>
prime factors 素因数
53938158525784605867987753792640538658011807<44>
7168467533429926928633588403025395583287140833893433744577809985469870562094247117925302445102657619847173019627592192872703433002560510269<139>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:871902796
Step 1 took 27438ms
Step 2 took 422ms
********** Factor found in step 2: 53938158525784605867987753792640538658011807
Found prime factor of 44 digits: 53938158525784605867987753792640538658011807
Prime cofactor 7168467533429926928633588403025395583287140833893433744577809985469870562094247117925302445102657619847173019627592192872703433002560510269 has 139 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 SantosMarch 8, 2023 23:45:30 UTC 2023 年 3 月 9 日 (木) 8 時 45 分 30 秒 (日本時間)
4511e64480Ignacio SantosMarch 12, 2023 09:26:36 UTC 2023 年 3 月 12 日 (日) 18 時 26 分 36 秒 (日本時間)

89×10297-629

c278

name 名前Dmitry Domanov
date 日付March 22, 2023 06:14:09 UTC 2023 年 3 月 22 日 (水) 15 時 14 分 9 秒 (日本時間)
composite number 合成数
36075755186091299271317244504053147969142778820743437634801882960845810127287520249340630034662364918090776729929575630647637505143481303298880186886521634271047319328303526807534009399731654498886757643368840889566805732955623671500901085707729474917059408943473499372839254129<278>
prime factors 素因数
80066937676697038120308991542998347784759<41>
450569938515219539521268926122772681336473940424796673924164658330395265385058172847498963774975844330020551699106359674573917233740254055344061152717801116323710560684241321348145955053474061928365342866269875494450579785946966913697431<237>
factorization results 素因数分解の結果
Resuming ECM residue saved by @77bd1e898d36 with GMP-ECM 7.0.5-dev on Sat Mar 18 04:00:13 2023 
Input number is 36075755186091299271317244504053147969142778820743437634801882960845810127287520249340630034662364918090776729929575630647637505143481303298880186886521634271047319328303526807534009399731654498886757643368840889566805732955623671500901085707729474917059408943473499372839254129 (278 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2100502457
Step 1 took 0ms
Step 2 took 25315ms
********** Factor found in step 2: 80066937676697038120308991542998347784759
Found prime factor of 41 digits: 80066937676697038120308991542998347784759
Prime cofactor 450569938515219539521268926122772681336473940424796673924164658330395265385058172847498963774975844330020551699106359674573917233740254055344061152717801116323710560684241321348145955053474061928365342866269875494450579785946966913697431 has 237 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)
403e61792Dmitry DomanovMarch 13, 2023 17:51:54 UTC 2023 年 3 月 14 日 (火) 2 時 51 分 54 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 17, 2023 23:09:32 UTC 2023 年 3 月 18 日 (土) 8 時 9 分 32 秒 (日本時間)

89×10299-629

c276

composite cofactor 合成数の残り
858720641994515424257390811174513056658412952199137099437640626575925632953530043117652293176591949973068807742967733583228798268069399985730774315046610333394786780418984292127709194071522426593304629653833402255038169586388287038703006859208699852058086403042999509164361173<276>

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 DomanovMarch 13, 2023 17:51:57 UTC 2023 年 3 月 14 日 (火) 2 時 51 分 57 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovMarch 17, 2023 23:09:41 UTC 2023 年 3 月 18 日 (土) 8 時 9 分 41 秒 (日本時間)
1792Dmitry DomanovFebruary 18, 2024 09:10:37 UTC 2024 年 2 月 18 日 (日) 18 時 10 分 37 秒 (日本時間)

89×10300-629

c280

composite cofactor 合成数の残り
9696360233001902777542124656832984286588441969213226162307086189610248754215436658754840274219346930188794854056223312290706600788771281481160656269924622817715384739530310088158795922473757209999073643197923942042607106639765745450106596233043153193723344253264969849082428386227<280>

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 09:01:18 UTC 2023 年 2 月 23 日 (木) 18 時 1 分 18 秒 (日本時間)
4511e63584Dmitry DomanovFebruary 23, 2023 09:01:18 UTC 2023 年 2 月 23 日 (木) 18 時 1 分 18 秒 (日本時間)
5043e6130 / 6675Dmitry DomanovFebruary 23, 2023 09:01:18 UTC 2023 年 2 月 23 日 (木) 18 時 1 分 18 秒 (日本時間)