Table of contents 目次

53×10101-89

c95

name 名前ivelive
date 日付November 20, 2021 18:04:00 UTC 2021 年 11 月 21 日 (日) 3 時 4 分 0 秒 (日本時間)
composite number 合成数
42654488279093886037637547847873427489977482937077966030544991728892321850873856867762136940287<95>
prime factors 素因数
726220034016269329856539448053008886411<39>
58734937458553102882343690123168178054782368604404068317<56>
factorization results 素因数分解の結果
11/21/21 02:58:29 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 02:58:58 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 02:59:29 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 03:00:01 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 03:00:34 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 03:01:05 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 03:01:37 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 03:02:09 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 03:02:41 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering
11/21/21 03:02:55 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve linear algebra
11/21/21 03:03:03 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve sqrt
11/21/21 03:03:06 v1.34.5 @ DESKTOP-RJPVCOL, prp39 = 726220034016269329856539448053008886411
11/21/21 03:03:06 v1.34.5 @ DESKTOP-RJPVCOL, prp56 = 58734937458553102882343690123168178054782368604404068317
11/21/21 03:03:06 v1.34.5 @ DESKTOP-RJPVCOL, NFS elapsed time = 277.5822 seconds.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

53×10117-89

c96

name 名前ivelive
date 日付November 20, 2021 21:09:48 UTC 2021 年 11 月 21 日 (日) 6 時 9 分 48 秒 (日本時間)
composite number 合成数
565964817439850911169477337535373309208773202647740089299080568805627988599893357029827037468523<96>
prime factors 素因数
105785884110808410791879533413617298850147413313<48>
5350097720476723389504352869294168368480535584171<49>
factorization results 素因数分解の結果
11/21/21 05:59:58 v1.34.5 @ DESKTOP-RJPVCOL, starting SIQS on c96: 565964817439850911169477337535373309208773202647740089299080568805627988599893357029827037468523
11/21/21 05:59:58 v1.34.5 @ DESKTOP-RJPVCOL, random seeds: 2733504847, 699040896
11/21/21 05:59:58 v1.34.5 @ DESKTOP-RJPVCOL, ==== sieve params ====
11/21/21 05:59:58 v1.34.5 @ DESKTOP-RJPVCOL, n = 97 digits, 320 bits
11/21/21 05:59:58 v1.34.5 @ DESKTOP-RJPVCOL, factor base: 98384 primes (max prime = 2697983)
11/21/21 05:59:58 v1.34.5 @ DESKTOP-RJPVCOL, single large prime cutoff: 350737790 (130 * pmax)
11/21/21 05:59:58 v1.34.5 @ DESKTOP-RJPVCOL, double large prime range from 43 to 52 bits
11/21/21 05:59:58 v1.34.5 @ DESKTOP-RJPVCOL, double large prime cutoff: 2404189023892072
11/21/21 05:59:58 v1.34.5 @ DESKTOP-RJPVCOL, allocating 9 large prime slices of factor base
11/21/21 05:59:58 v1.34.5 @ DESKTOP-RJPVCOL, buckets hold 2048 elements
11/21/21 05:59:58 v1.34.5 @ DESKTOP-RJPVCOL, using 32k sieve core
11/21/21 05:59:58 v1.34.5 @ DESKTOP-RJPVCOL, sieve interval: 18 blocks of size 32768
11/21/21 05:59:58 v1.34.5 @ DESKTOP-RJPVCOL, polynomial A has ~ 12 factors
11/21/21 05:59:58 v1.34.5 @ DESKTOP-RJPVCOL, using multiplier of 3
11/21/21 05:59:58 v1.34.5 @ DESKTOP-RJPVCOL, using SPV correction of 20 bits, starting at offset 27
11/21/21 05:59:58 v1.34.5 @ DESKTOP-RJPVCOL, using SSE2 for trial division and x128 sieve scanning
11/21/21 05:59:58 v1.34.5 @ DESKTOP-RJPVCOL, using SSE4.1 enabled 32k sieve core
11/21/21 05:59:58 v1.34.5 @ DESKTOP-RJPVCOL, using SSE2 for resieving 13-16 bit primes
11/21/21 05:59:58 v1.34.5 @ DESKTOP-RJPVCOL, trial factoring cutoff at 102 bits
11/21/21 05:59:58 v1.34.5 @ DESKTOP-RJPVCOL, ==== sieving started (64 threads) ====
11/21/21 06:08:40 v1.34.5 @ DESKTOP-RJPVCOL, trial division touched 72297509 sieve locations out of 1946537164800
11/21/21 06:08:40 v1.34.5 @ DESKTOP-RJPVCOL, squfof: 0 failures, 1074780 attempts, 19355984 outside range, 5402026 prp, 1004355 useful
11/21/21 06:08:40 v1.34.5 @ DESKTOP-RJPVCOL, 108855 relations found: 26368 full + 82487 from 1373338 partial, using 1650100 polys (1611 A polys)
11/21/21 06:08:40 v1.34.5 @ DESKTOP-RJPVCOL, on average, sieving found 0.85 rels/poly and 2681.77 rels/sec
11/21/21 06:08:40 v1.34.5 @ DESKTOP-RJPVCOL, trial division touched 72297509 sieve locations out of 1946537164800
11/21/21 06:08:40 v1.34.5 @ DESKTOP-RJPVCOL, ==== post processing stage (msieve-1.38) ====
11/21/21 06:08:40 v1.34.5 @ DESKTOP-RJPVCOL, begin with 1399706 relations
11/21/21 06:08:40 v1.34.5 @ DESKTOP-RJPVCOL, reduce to 274843 relations in 10 passes
11/21/21 06:08:42 v1.34.5 @ DESKTOP-RJPVCOL, recovered 274843 relations
11/21/21 06:08:42 v1.34.5 @ DESKTOP-RJPVCOL, recovered 253240 polynomials
11/21/21 06:08:42 v1.34.5 @ DESKTOP-RJPVCOL, freed 60 duplicate relations
11/21/21 06:08:42 v1.34.5 @ DESKTOP-RJPVCOL, attempting to build 108795 cycles
11/21/21 06:08:42 v1.34.5 @ DESKTOP-RJPVCOL, found 108795 cycles in 6 passes
11/21/21 06:08:42 v1.34.5 @ DESKTOP-RJPVCOL, distribution of cycle lengths:
11/21/21 06:08:42 v1.34.5 @ DESKTOP-RJPVCOL,    length 1 : 26368
11/21/21 06:08:42 v1.34.5 @ DESKTOP-RJPVCOL,    length 2 : 19797
11/21/21 06:08:42 v1.34.5 @ DESKTOP-RJPVCOL,    length 3 : 18934
11/21/21 06:08:42 v1.34.5 @ DESKTOP-RJPVCOL,    length 4 : 14979
11/21/21 06:08:42 v1.34.5 @ DESKTOP-RJPVCOL,    length 5 : 11010
11/21/21 06:08:42 v1.34.5 @ DESKTOP-RJPVCOL,    length 6 : 7359
11/21/21 06:08:42 v1.34.5 @ DESKTOP-RJPVCOL,    length 7 : 4661
11/21/21 06:08:42 v1.34.5 @ DESKTOP-RJPVCOL,    length 9+: 5687
11/21/21 06:08:42 v1.34.5 @ DESKTOP-RJPVCOL, largest cycle: 20 relations
11/21/21 06:08:42 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 98384 x 108795 (31.5 MB) with weight 7399884 (68.02/col)
11/21/21 06:08:42 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 7399884 (68.02/col)
11/21/21 06:08:42 v1.34.5 @ DESKTOP-RJPVCOL, filtering completed in 4 passes
11/21/21 06:08:42 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 91346 x 91410 (24.1 MB) with weight 5576062 (61.00/col)
11/21/21 06:08:42 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 5576062 (61.00/col)
11/21/21 06:08:42 v1.34.5 @ DESKTOP-RJPVCOL, saving the first 48 matrix rows for later
11/21/21 06:08:42 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 91298 x 91410 (20.9 MB) with weight 4886715 (53.46/col)
11/21/21 06:08:42 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 4561590 (49.90/col)
11/21/21 06:08:42 v1.34.5 @ DESKTOP-RJPVCOL, matrix includes 64 packed rows
11/21/21 06:08:42 v1.34.5 @ DESKTOP-RJPVCOL, using block size 36564 for processor cache size 12288 kB
11/21/21 06:08:43 v1.34.5 @ DESKTOP-RJPVCOL, commencing Lanczos iteration
11/21/21 06:08:43 v1.34.5 @ DESKTOP-RJPVCOL, memory use: 16.6 MB
11/21/21 06:08:56 v1.34.5 @ DESKTOP-RJPVCOL, lanczos halted after 1445 iterations (dim = 91294)
11/21/21 06:08:56 v1.34.5 @ DESKTOP-RJPVCOL, recovered 15 nontrivial dependencies
11/21/21 06:08:57 v1.34.5 @ DESKTOP-RJPVCOL, prp48 = 105785884110808410791879533413617298850147413313
11/21/21 06:08:57 v1.34.5 @ DESKTOP-RJPVCOL, prp49 = 5350097720476723389504352869294168368480535584171
11/21/21 06:08:57 v1.34.5 @ DESKTOP-RJPVCOL, Lanczos elapsed time = 16.6830 seconds.
11/21/21 06:08:57 v1.34.5 @ DESKTOP-RJPVCOL, Sqrt elapsed time = 0.2190 seconds.
11/21/21 06:08:57 v1.34.5 @ DESKTOP-RJPVCOL, SIQS elapsed time = 538.8347 seconds.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

53×10119-89

c113

name 名前Dmitry Domanov
date 日付November 20, 2021 21:01:32 UTC 2021 年 11 月 21 日 (日) 6 時 1 分 32 秒 (日本時間)
composite number 合成数
30609808842783355231475070747931389118404700853456914718854796723378210316323381703299792837434100546822865864491<113>
prime factors 素因数
44255218577411042110682678500783024230827<41>
691665521643301939838758737622542573228174213006363307378004020101013633<72>
factorization results 素因数分解の結果
N=30609808842783355231475070747931389118404700853456914718854796723378210316323381703299792837434100546822865864491
  ( 113 digits)
SNFS difficulty: 120 digits.
Divisors found:
p41 factor: 44255218577411042110682678500783024230827
p72 factor: 691665521643301939838758737622542573228174213006363307378004020101013633
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.97 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 30609808842783355231475070747931389118404700853456914718854796723378210316323381703299792837434100546822865864491
m: 500000000000000000000000000000
deg: 4
c4: 53
c0: -5
skew: 0.55
# Murphy_E = 4.493e-08
type: snfs
lss: 1
rlim: 710000
alim: 710000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 710000/710000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [355000, 605001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 58881 x 59106
Total sieving time: 0.96 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,120.000,4,0,0,0,0,0,0,0,0,710000,710000,25,25,46,46,2.2,2.2,50000
total time: 0.97 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

53×10120-89

c101

name 名前Dmitry Domanov
date 日付November 20, 2021 21:29:52 UTC 2021 年 11 月 21 日 (日) 6 時 29 分 52 秒 (日本時間)
composite number 合成数
34105350728586996682625832396759305994698215830699408118634618577371075978381282111209319574101265701<101>
prime factors 素因数
1071841025304606949488918182517328267<37>
31819411576352549845552620793978264683780291127129173995464882703<65>
factorization results 素因数分解の結果
N=34105350728586996682625832396759305994698215830699408118634618577371075978381282111209319574101265701
  ( 101 digits)
SNFS difficulty: 121 digits.
Divisors found:
p37 factor: 1071841025304606949488918182517328267
p65 factor: 31819411576352549845552620793978264683780291127129173995464882703
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.78 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 34105350728586996682625832396759305994698215830699408118634618577371075978381282111209319574101265701
m: 1000000000000000000000000000000
deg: 4
c4: 53
c0: -8
skew: 0.62
# Murphy_E = 4.6e-08
type: snfs
lss: 1
rlim: 750000
alim: 750000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 750000/750000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [375000, 600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 63917 x 64142
Total sieving time: 0.77 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,121.000,4,0,0,0,0,0,0,0,0,750000,750000,25,25,46,46,2.2,2.2,75000
total time: 0.78 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

53×10121-89

c110

name 名前Dmitry Domanov
date 日付November 20, 2021 21:54:26 UTC 2021 年 11 月 21 日 (日) 6 時 54 分 26 秒 (日本時間)
composite number 合成数
16922233466018995633751613267701127459070162853543534975286308363761313928484997425004754411193051135970595343<110>
prime factors 素因数
4483027432743384214232041652214134173<37>
3774733418408606873225241182806606597784680643195554320496844866826587291<73>
factorization results 素因数分解の結果
N=16922233466018995633751613267701127459070162853543534975286308363761313928484997425004754411193051135970595343
  ( 110 digits)
SNFS difficulty: 122 digits.
Divisors found:
p37 factor: 4483027432743384214232041652214134173
p73 factor: 3774733418408606873225241182806606597784680643195554320496844866826587291
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.96 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 16922233466018995633751613267701127459070162853543534975286308363761313928484997425004754411193051135970595343
m: 1000000000000000000000000000000
deg: 4
c4: 265
c0: -4
skew: 0.35
# Murphy_E = 3.14e-08
type: snfs
lss: 1
rlim: 770000
alim: 770000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2

Factor base limits: 770000/770000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [385000, 685001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 74496 x 74722
Total sieving time: 0.94 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,122.000,4,0,0,0,0,0,0,0,0,770000,770000,25,25,46,46,2.2,2.2,75000
total time: 0.96 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

53×10126-89

c113

name 名前Dmitry Domanov
date 日付November 20, 2021 23:14:45 UTC 2021 年 11 月 21 日 (日) 8 時 14 分 45 秒 (日本時間)
composite number 合成数
76884589838280946217342094080714084678981049830484876779340633095035359329529574320553894682886472540474989876871<113>
prime factors 素因数
320739204056236525949012854957002050643017<42>
239710608700021760828868471287435685531591144548049386678858293582480463<72>
factorization results 素因数分解の結果
N=76884589838280946217342094080714084678981049830484876779340633095035359329529574320553894682886472540474989876871
  ( 113 digits)
SNFS difficulty: 127 digits.
Divisors found:
p42 factor: 320739204056236525949012854957002050643017
p72 factor: 239710608700021760828868471287435685531591144548049386678858293582480463
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 2.25 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 76884589838280946217342094080714084678981049830484876779340633095035359329529574320553894682886472540474989876871
m: 10000000000000000000000000000000
deg: 4
c4: 1325
c0: -2
skew: 0.20
# Murphy_E = 1.692e-08
type: snfs
lss: 1
rlim: 920000
alim: 920000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 920000/920000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [460000, 910001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 108373 x 108600
Total sieving time: 2.21 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,127.000,4,0,0,0,0,0,0,0,0,920000,920000,26,26,46,46,2.3,2.3,75000
total time: 2.25 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

53×10128-89

c126

name 名前Dmitry Domanov
date 日付November 21, 2021 00:01:52 UTC 2021 年 11 月 21 日 (日) 9 時 1 分 52 秒 (日本時間)
composite number 合成数
500755857898715041572184429327286470143613000755857898715041572184429327286470143613000755857898715041572184429327286470143613<126>
prime factors 素因数
4606320916958898696965258718821458864233750677<46>
108710588542605267294918505989845311515883680813420624036758083649869898245149769<81>
factorization results 素因数分解の結果
N=500755857898715041572184429327286470143613000755857898715041572184429327286470143613000755857898715041572184429327286470143613
  ( 126 digits)
SNFS difficulty: 129 digits.
Divisors found:
p46 factor: 4606320916958898696965258718821458864233750677
p81 factor: 108710588542605267294918505989845311515883680813420624036758083649869898245149769
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 2.21 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 500755857898715041572184429327286470143613000755857898715041572184429327286470143613000755857898715041572184429327286470143613
m: 100000000000000000000000000000000
deg: 4
c4: 53
c0: -8
skew: 0.62
# Murphy_E = 1.896e-08
type: snfs
lss: 1
rlim: 1020000
alim: 1020000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1020000/1020000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [510000, 910001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 100161 x 100386
Total sieving time: 2.17 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,129.000,4,0,0,0,0,0,0,0,0,1020000,1020000,26,26,47,47,2.3,2.3,100000
total time: 2.21 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

53×10133-89

c130

name 名前Dmitry Domanov
date 日付November 21, 2021 16:01:30 UTC 2021 年 11 月 22 日 (月) 1 時 1 分 30 秒 (日本時間)
composite number 合成数
4277229001226676996578216799018658402737426560785073277810058751371941377751952998902446897798437600878042481761249919297566014591<130>
prime factors 素因数
12423981037807698614858701953853963260960332401<47>
344272016208858043667642598129133178583174771609395988508878676287258741828260126191<84>
factorization results 素因数分解の結果
N=4277229001226676996578216799018658402737426560785073277810058751371941377751952998902446897798437600878042481761249919297566014591
  ( 130 digits)
SNFS difficulty: 134 digits.
Divisors found:
p47 factor: 12423981037807698614858701953853963260960332401
p84 factor: 344272016208858043667642598129133178583174771609395988508878676287258741828260126191
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 3.31 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 4277229001226676996578216799018658402737426560785073277810058751371941377751952998902446897798437600878042481761249919297566014591
m: 1000000000000000000000000000000000
deg: 4
c4: 265
c0: -4
skew: 0.35
# Murphy_E = 8.233e-09
type: snfs
lss: 1
rlim: 1220000
alim: 1220000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1220000/1220000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [610000, 1410001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 150839 x 151064
Total sieving time: 3.22 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,134.000,4,0,0,0,0,0,0,0,0,1220000,1220000,26,26,47,47,2.3,2.3,100000
total time: 3.31 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

53×10138-89

c129

name 名前Dmitry Domanov
date 日付November 22, 2021 12:07:11 UTC 2021 年 11 月 22 日 (月) 21 時 7 分 11 秒 (日本時間)
composite number 合成数
165108409966782510896554000890306266009311584629425336030341253897951398298113435726545669887040757833352331006048401080190318121<129>
prime factors 素因数
108744208379583973540974314503470816216147625731499<51>
1518319112595430453035020741042613260162089720882117994934204498803134441920379<79>
factorization results 素因数分解の結果
N=165108409966782510896554000890306266009311584629425336030341253897951398298113435726545669887040757833352331006048401080190318121
  ( 129 digits)
SNFS difficulty: 139 digits.
Divisors found:
p51 factor: 108744208379583973540974314503470816216147625731499
p79 factor: 1518319112595430453035020741042613260162089720882117994934204498803134441920379
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 7.39 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 165108409966782510896554000890306266009311584629425336030341253897951398298113435726545669887040757833352331006048401080190318121
m: 10000000000000000000000000000000000
deg: 4
c4: 1325
c0: -2
skew: 0.20
# Murphy_E = 4.364e-09
type: snfs
lss: 1
rlim: 1460000
alim: 1460000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1460000/1460000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [730000, 1530001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 193112 x 193337
Total sieving time: 7.30 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,139.000,4,0,0,0,0,0,0,0,0,1460000,1460000,26,26,48,48,2.3,2.3,100000
total time: 7.39 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

53×10141-89

c93

name 名前Dmitry Domanov
date 日付November 20, 2021 15:19:39 UTC 2021 年 11 月 21 日 (日) 0 時 19 分 39 秒 (日本時間)
composite number 合成数
159746362850141407180768874257153751660703177505244984453668025741009026032774433502078429141<93>
prime factors 素因数
1611821823699646529032520102830979242619<40>
99109194640057930991075740807323626197386711187693039<53>
factorization results 素因数分解の結果
PRP53 = 99109194640057930991075740807323626197386711187693039
PRP40 = 1611821823699646529032520102830979242619
software ソフトウェア
YAFU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

53×10142-89

c113

name 名前Bob Backstrom
date 日付November 21, 2021 04:54:25 UTC 2021 年 11 月 21 日 (日) 13 時 54 分 25 秒 (日本時間)
composite number 合成数
25257689905898091354039903798720001963232698273195767989022397469378840268685494521084425724465052315942748455001<113>
prime factors 素因数
389907296881395237178230408270546880639440659109367949<54>
64778705368987116802356005232609721488758690042002896599549<59>
factorization results 素因数分解の結果
CADO

STA:Sun 21 Nov 2021 14:31:15 AEDT (25,257,689,905,898,091,354,039,903,798,720,001,963,232,698,273,195,767,989,022,397,469,378,840,268,685,494,521,084,425,724,465,052,315,942,748,455,001 - C113)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 25257689905898091354039903798720001963232698273195767989022397469378840268685494521084425724465052315942748455001 2>&1 | tee -a log69

Debug:root: Looking for parameter file for c113 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c115
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c115
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.xo4rndy8
Info:Database: Opened connection to database /tmp/cado.xo4rndy8/c115.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 2525768990589809135403990379872000196323269827319576798902239746937884026868549452108
4425724465052315942748455001
Debug:root: Root parameter dictionary:
N = 25257689905898091354039903798720001963232698273195767989022397469378840268685494521084425724465052315942748455001
lim0 = 5484593
lim1 = 2800829
lpb0 = 26
lpb1 = 26
name = c115
...
n: 25257689905898091354039903798720001963232698273195767989022397469378840268685494521084425724465052315942748455001
skew: 2364611.655
c0: 1371015541309893357131664510606
c1: 596359844348395848069788
c2: -1275411788215726930
c3: -121779263259
c4: 57060
Y0: -815890769755865796442499485
Y1: 408033465192401413
# MurphyE (Bf=2.80e+06,Bg=5.48e+06,area=9.40e+13) = 2.75e-09
# f(x) = 57060*x^4-121779263259*x^3-1275411788215726930*x^2+596359844348395848069788*x+1371015541309893357131664510606
# g(x) = 408033465192401413*x-815890769755865796442499485
...
Info:Square Root: finished
Info:Square Root: Factors: 64778705368987116802356005232609721488758690042002896599549 389907296881395237178230408270546880639440659109367949
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 253.72/37.2543
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 55681.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 56202/35.230/42.932/48.030/0.650
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 56202/35.190/42.085/44.350/1.024
Info:Polynomial Selection (size optimized): Total time: 1115.92
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 145.27
Info:Polynomial Selection (root optimized): Rootsieve time: 144.62
Info:Generate Factor Base: Total cpu/real time for makefb: 2.58/0.275476
Info:Generate Free Relations: Total cpu/real time for freerel: 53.32/3.52479
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6787928
Info:Lattice Sieving: Average J: 4096 for 61160 special-q, max bucket fill: 0.703681
Info:Lattice Sieving: Total CPU time: 54066.2s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 16.26/19.5124
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 19.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 88.56/28.4214
Info:Filtering - Singleton removal: Total cpu/real time for purge: 79.96/29.9886
Info:Filtering - Merging: Total cpu/real time for merge: 130.76/103.386
Info:Filtering - Merging: Total cpu/real time for replay: 13.95/10.8111
Info:Linear Algebra: Total cpu/real time for bwc: 3465.12/0.000336409
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 150.32
Info:Linear Algebra: Lingen CPU time 100.32, WCT time 9.78
Info:Linear Algebra: Mksol: WCT time 79.63
Info:Quadratic Characters: Total cpu/real time for characters: 13.72/3.1972
Info:Square Root: Total cpu/real time for sqrt: 253.72/37.2543
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 59445.3/4322.43
Info:root: Cleaning up computation data in /tmp/cado.xo4rndy8
64778705368987116802356005232609721488758690042002896599549 389907296881395237178230408270546880639440659109367949

END:Sun 21 Nov 2021 15:43:18 AEDT (25,257,689,905,898,091,354,039,903,798,720,001,963,232,698,273,195,767,989,022,397,469,378,840,268,685,494,521,084,425,724,465,052,315,942,748,455,001 - C113)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

53×10143-89

c128

name 名前Bob Backstrom
date 日付November 28, 2021 19:38:06 UTC 2021 年 11 月 29 日 (月) 4 時 38 分 6 秒 (日本時間)
composite number 合成数
91856228443939083129694146822199850898883250259660110550629853273440709187435954662864188206578999510940675817401034716653715183<128>
prime factors 素因数
44832234506214758787933004511333766848925988637<47>
2048888025672816693235607204001913062832858099972916057656690459007902281717748859<82>
factorization results 素因数分解の結果
CADO

STA:Mon 29 Nov 2021 00:57:04 AEDT (91,856,228,443,939,083,129,694,146,822,199,850,898,883,250,259,660,110,550,629,853,273,440,709,187,435,954,662,864,188,206,578,999,510,940,675,817,401,034,716,653,715,183 - C128)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 91856228443939083129694146822199850898883250259660110550629853273440709187435954662864188206578999510940675817401034716653715183 2>&1 | tee -a log106

Debug:root: Looking for parameter file for c128 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c130
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c130
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.xb_7huvz
Info:Database: Opened connection to database /tmp/cado.xb_7huvz/c130.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 9185622844393908312969414682219985089888325025966011055062985327344070918743595466286
4188206578999510940675817401034716653715183
Debug:root: Root parameter dictionary:
N = 91856228443939083129694146822199850898883250259660110550629853273440709187435954662864188206578999510940675817401034716653715183
lim0 = 11872741
lim1 = 45278470
lpb0 = 27
lpb1 = 28
name = c130
...
n: 91856228443939083129694146822199850898883250259660110550629853273440709187435954662864188206578999510940675817401034716653715183
skew: 26633.31
c0: 11145883038858896903736958512
c1: -880870187749631510016315
c2: -92761966691571026878
c3: 74061138684943
c4: -913169442
c5: 1012680
Y0: -3525340865211653147858098
Y1: 1987844816292605347
# MurphyE (Bf=4.53e+07,Bg=1.19e+07,area=6.08e+15) = 1.97e-09
# f(x) = 1012680*x^5-913169442*x^4+74061138684943*x^3-92761966691571026878*x^2-880870187749631510016315*x+11145883038858896903736958512
# g(x) = 1987844816292605347*x-3525340865211653147858098
...
Info:Square Root: finished
Info:Square Root: Factors: 2048888025672816693235607204001913062832858099972916057656690459007902281717748859 44832234506214758787933004511333766848925988637
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 1629.45/225.104
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38609/37.870/45.674/51.110/0.857
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 38609/36.920/41.009/46.470/1.049
Info:Polynomial Selection (size optimized): Total time: 5827.28
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1699.76
Info:Polynomial Selection (root optimized): Rootsieve time: 1698.82
Info:Generate Factor Base: Total cpu/real time for makefb: 60.42/5.45933
Info:Generate Free Relations: Total cpu/real time for freerel: 305.25/20.2221
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 19131899
Info:Lattice Sieving: Average J: 7554.09 for 69217 special-q, max bucket fill: 0.600606
Info:Lattice Sieving: Total CPU time: 220064s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 49.74/67.8723
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 67.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 326.87/109.333
Info:Filtering - Singleton removal: Total cpu/real time for purge: 195.16/81.9325
Info:Filtering - Merging: Total cpu/real time for merge: 840.98/753.995
Info:Filtering - Merging: Total cpu/real time for replay: 73.24/63.1753
Info:Linear Algebra: Total cpu/real time for bwc: 48958.3/0.000323772
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 2129.65
Info:Linear Algebra: Lingen CPU time 327.97, WCT time 32.23
Info:Linear Algebra: Mksol: WCT time 1149.81
Info:Quadratic Characters: Total cpu/real time for characters: 56.35/13.2272
Info:Square Root: Total cpu/real time for sqrt: 1629.45/225.104
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 280087/20122.3
Info:root: Cleaning up computation data in /tmp/cado.xb_7huvz
2048888025672816693235607204001913062832858099972916057656690459007902281717748859 44832234506214758787933004511333766848925988637

END:Mon 29 Nov 2021 06:32:27 AEDT (91,856,228,443,939,083,129,694,146,822,199,850,898,883,250,259,660,110,550,629,853,273,440,709,187,435,954,662,864,188,206,578,999,510,940,675,817,401,034,716,653,715,183 - C128

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

53×10147-89

c98

name 名前Dmitry Domanov
date 日付November 20, 2021 19:51:22 UTC 2021 年 11 月 21 日 (日) 4 時 51 分 22 秒 (日本時間)
composite number 合成数
47199369263843739108332411772618792181941650033103237962370462499761114316687143212979192735626729<98>
prime factors 素因数
1162422077311715922552052191814176875287<40>
40604329688059359715697576919533886125295866648610923597567<59>
factorization results 素因数分解の結果
p40 factor: 1162422077311715922552052191814176875287
p59 factor: 40604329688059359715697576919533886125295866648610923597567

N=47199369263843739108332411772618792181941650033103237962370462499761114316687143212979192735626729
  ( 98 digits)
Divisors found:
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 3.01 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 47199369263843739108332411772618792181941650033103237962370462499761114316687143212979192735626729
skew: 938638.78
c0: 2752839452461896421348355685
c1: 114924161550012869688
c2: -15910312757655259
c3: -295991082
c4: 10080
Y0: -261588747703233086779078
Y1: 11707902429421
rlim: 1680000
alim: 1680000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 1680000/1680000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [840000, 1140001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 132242 x 132474
Total sieving time: 2.95 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,97,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1680000,1680000,26,26,52,52,2.5,2.5,100000
total time: 3.01 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

53×10148-89

c97

name 名前Dmitry Domanov
date 日付November 20, 2021 17:14:39 UTC 2021 年 11 月 21 日 (日) 2 時 14 分 39 秒 (日本時間)
composite number 合成数
3291374738745817805852842537647406783066769209574236825300741949580897498419475304477163106660769<97>
prime factors 素因数
377770056129317135817806303283255682202348669<45>
8712640627130923459276020074179981372168271718790901<52>
factorization results 素因数分解の結果
N=3291374738745817805852842537647406783066769209574236825300741949580897498419475304477163106660769
  ( 97 digits)
Divisors found:
p45 factor: 377770056129317135817806303283255682202348669
p52 factor: 8712640627130923459276020074179981372168271718790901
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 2.35 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 3291374738745817805852842537647406783066769209574236825300741949580897498419475304477163106660769
skew: 331348.91
c0: -28928695421963208796876335
c1: 322242252968163964601
c2: -680328987438433
c3: 2328857151
c4: 10920
Y0: -131761469261008718687648
Y1: 1390407738203
rlim: 1620000
alim: 1620000
lpbr: 25
lpba: 25
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 1620000/1620000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 50/50
Sieved algebraic special-q in [810000, 1050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 130205 x 130430
Total sieving time: 2.29 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,96,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1620000,1620000,25,25,50,50,2.5,2.5,60000
total time: 2.35 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

53×10149-89

c123

name 名前Bob Backstrom
date 日付November 24, 2021 03:35:02 UTC 2021 年 11 月 24 日 (水) 12 時 35 分 2 秒 (日本時間)
composite number 合成数
373968722109207829560368447074224965176312027130103742085069548023779931930001753288538844478555229867239473672969393194419<123>
prime factors 素因数
1999042774573633653320776170695179091<37>
187073897000012840437248438812351073473957524427922195476513488337011990812012560408609<87>
factorization results 素因数分解の結果
CADO

STA:Wed 24 Nov 2021 11:50:45 AEDT (373,968,722,109,207,829,560,368,447,074,224,965,176,312,027,130,103,742,085,069,548,023,779,931,930,001,753,288,538,844,478,555,229,867,239,473,672,969,393,194,419 - C123)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 373968722109207829560368447074224965176312027130103742085069548023779931930001753288538844478555229867239473672969393194419 2>&1 | tee -a log97

Debug:root: Looking for parameter file for c123 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c125
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c125
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.wbgapmdh
Info:Database: Opened connection to database /tmp/cado.wbgapmdh/c125.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 3739687221092078295603684470742249651763120271301037420850695480237799319300017532885
38844478555229867239473672969393194419
Debug:root: Root parameter dictionary:
N = 373968722109207829560368447074224965176312027130103742085069548023779931930001753288538844478555229867239473672969393194419
lim0 = 2377918
lim1 = 9209388
lpb0 = 27
lpb1 = 27
name = c125
...
n: 373968722109207829560368447074224965176312027130103742085069548023779931930001753288538844478555229867239473672969393194419
skew: 33224.677
c0: -9157262864306202180851236239
c1: -815616667143044725726742
c2: 38686012918766357781
c3: 236049103257020
c4: -8411385036
c5: 292320
Y0: -331523147350658745781418
Y1: 506754607692846833
# MurphyE (Bf=9.21e+06,Bg=2.38e+06,area=3.09e+14) = 7.69e-10
# f(x) = 292320*x^5-8411385036*x^4+236049103257020*x^3+38686012918766357781*x^2-815616667143044725726742*x-9157262864306202180851236239
# g(x) = 506754607692846833*x-331523147350658745781418
...
Info:Square Root: finished
Info:Square Root: Factors: 187073897000012840437248438812351073473957524427922195476513488337011990812012560408609 1999042774573633653320776170695179091
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 545.77/76.3054
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21528.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21550/35.620/43.616/47.610/0.875
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 21550/34.920/39.335/44.390/1.214
Info:Polynomial Selection (size optimized): Total time: 1761.98
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1160.98
Info:Polynomial Selection (root optimized): Rootsieve time: 1160.05
Info:Generate Factor Base: Total cpu/real time for makefb: 11.87/1.10472
Info:Generate Free Relations: Total cpu/real time for freerel: 149.1/9.92147
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13068508
Info:Lattice Sieving: Average J: 3789.79 for 177703 special-q, max bucket fill: 0.709129
Info:Lattice Sieving: Total CPU time: 123756s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 33.43/39.4376
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 39.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 187.9/55.8592
Info:Filtering - Singleton removal: Total cpu/real time for purge: 145.22/53.6379
Info:Filtering - Merging: Total cpu/real time for merge: 226.77/184.304
Info:Filtering - Merging: Total cpu/real time for replay: 20.31/15.5248
Info:Linear Algebra: Total cpu/real time for bwc: 8859.82/0.000168085
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 362.38
Info:Linear Algebra: Lingen CPU time 135.27, WCT time 13.56
Info:Linear Algebra: Mksol: WCT time 206.53
Info:Quadratic Characters: Total cpu/real time for characters: 22.59/5.2421
Info:Square Root: Total cpu/real time for sqrt: 545.77/76.3054
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 136882/9381.25
Info:root: Cleaning up computation data in /tmp/cado.wbgapmdh
187073897000012840437248438812351073473957524427922195476513488337011990812012560408609 1999042774573633653320776170695179091

END:Wed 24 Nov 2021 14:27:07 AEDT (373,968,722,109,207,829,560,368,447,074,224,965,176,312,027,130,103,742,085,069,548,023,779,931,930,001,753,288,538,844,478,555,229,867,239,473,672,969,393,194,419 - C123)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

53×10151-89

c123

name 名前Bob Backstrom
date 日付November 24, 2021 06:18:07 UTC 2021 年 11 月 24 日 (水) 15 時 18 分 7 秒 (日本時間)
composite number 合成数
187081080940872846787268342739453168090165593668468462194930176597683722950968336309812805807402371168698064830415729103009<123>
prime factors 素因数
3054452758124641002472127640229215184933445070462948441234617<61>
61248641165999253196595869913542320240993567160589908472737577<62>
factorization results 素因数分解の結果
CADO

STA:Wed 24 Nov 2021 14:37:08 AEDT (187,081,080,940,872,846,787,268,342,739,453,168,090,165,593,668,468,462,194,930,176,597,683,722,950,968,336,309,812,805,807,402,371,168,698,064,830,415,729,103,009 - C123)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 187081080940872846787268342739453168090165593668468462194930176597683722950968336309812805807402371168698064830415729103009 2>&1 | tee -a log98

Debug:root: Looking for parameter file for c123 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c125
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c125
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.a3d0oqmw
Info:Database: Opened connection to database /tmp/cado.a3d0oqmw/c125.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 1870810809408728467872683427394531680901655936684684621949301765976837229509683363098
12805807402371168698064830415729103009
Debug:root: Root parameter dictionary:
N = 187081080940872846787268342739453168090165593668468462194930176597683722950968336309812805807402371168698064830415729103009
lim0 = 2377918
lim1 = 9209388
lpb0 = 27
lpb1 = 27
name = c125
...
n: 187081080940872846787268342739453168090165593668468462194930176597683722950968336309812805807402371168698064830415729103009
skew: 45696.943
c0: -2524267131936448334355166590
c1: -556559374390407868732341
c2: -67116283437402012724
c3: 219278689332077
c4: -9838747750
c5: 108600
Y0: -450006725590710740057848
Y1: 334693238414447057
# MurphyE (Bf=9.21e+06,Bg=2.38e+06,area=3.09e+14) = 8.14e-10
# f(x) = 108600*x^5-9838747750*x^4+219278689332077*x^3-67116283437402012724*x^2-556559374390407868732341*x-2524267131936448334355166590
# g(x) = 334693238414447057*x-450006725590710740057848
...
Info:Square Root: finished
Info:Square Root: Factors: 61248641165999253196595869913542320240993567160589908472737577 3054452758124641002472127640229215184933445070462948441234617
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 528.27/73.7008
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21528.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21676/36.850/43.509/47.200/0.879
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 21676/35.920/39.188/44.270/1.172
Info:Polynomial Selection (size optimized): Total time: 1771.73
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1118.16
Info:Polynomial Selection (root optimized): Rootsieve time: 1117.31
Info:Generate Factor Base: Total cpu/real time for makefb: 11.86/1.09344
Info:Generate Free Relations: Total cpu/real time for freerel: 148.25/9.80565
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13071323
Info:Lattice Sieving: Average J: 3784.2 for 176676 special-q, max bucket fill: 0.698666
Info:Lattice Sieving: Total CPU time: 124763s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 33.32/40.0415
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 39.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 190.32/57.2311
Info:Filtering - Singleton removal: Total cpu/real time for purge: 142.64/53.6015
Info:Filtering - Merging: Total cpu/real time for merge: 226.49/184.38
Info:Filtering - Merging: Total cpu/real time for replay: 20.48/15.7352
Info:Linear Algebra: Total cpu/real time for bwc: 8921.46/0.000332594
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 363.29
Info:Linear Algebra: Lingen CPU time 138.06, WCT time 13.8
Info:Linear Algebra: Mksol: WCT time 209.28
Info:Quadratic Characters: Total cpu/real time for characters: 22.57/5.31835
Info:Square Root: Total cpu/real time for sqrt: 528.27/73.7008
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 137898/9443.07
Info:root: Cleaning up computation data in /tmp/cado.a3d0oqmw
61248641165999253196595869913542320240993567160589908472737577 3054452758124641002472127640229215184933445070462948441234617

END:Wed 24 Nov 2021 17:14:31 AEDT (187,081,080,940,872,846,787,268,342,739,453,168,090,165,593,668,468,462,194,930,176,597,683,722,950,968,336,309,812,805,807,402,371,168,698,064,830,415,729,103,009 - C123)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

53×10152-89

c135

name 名前Stargate38
date 日付November 25, 2021 00:47:42 UTC 2021 年 11 月 25 日 (木) 9 時 47 分 42 秒 (日本時間)
composite number 合成数
349195514392576303442480768949623660222629926725855120409080168858990072509907351783963989520481285291723099147941271632953700631568397<135>
prime factors 素因数
591399374643268739458406721724829717941613<42>
590456347038260803735587313303578870047309100897337595135589341117102121982866080306242836769<93>
factorization results 素因数分解の結果
11/24/21 16:00:59, nfs: commencing nfs on c154: 5299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999992
11/24/21 16:00:59, nfs: input divides 53*10^152 - 8
11/24/21 16:00:59, nfs: using supplied cofactor: 349195514392576303442480768949623660222629926725855120409080168858990072509907351783963989520481285291723099147941271632953700631568397
11/24/21 16:00:59, nfs: commencing snfs on c135: 349195514392576303442480768949623660222629926725855120409080168858990072509907351783963989520481285291723099147941271632953700631568397
11/24/21 16:00:59, gen: best 3 polynomials:
n: 349195514392576303442480768949623660222629926725855120409080168858990072509907351783963989520481285291723099147941271632953700631568397
# 53*10^152-8, difficulty: 152.00, anorm: 8.11e+29, rnorm: 1.16e+45
# scaled difficulty: 155.03, suggest sieving rational side
# size = 1.181e-15, alpha = -0.835, combined = 1.200e-09, rroots = 2
type: snfs
size: 152
skew: 1.0000
c4: 53
c0: -8
Y1: -1
Y0: 100000000000000000000000000000000000000
n: 349195514392576303442480768949623660222629926725855120409080168858990072509907351783963989520481285291723099147941271632953700631568397
# 53*10^152-8, difficulty: 153.72, anorm: -4.95e+30, rnorm: 2.22e+37
# scaled difficulty: 155.05, suggest sieving rational side
# size = 7.508e-11, alpha = 0.636, combined = 1.060e-09, rroots = 1
type: snfs
size: 153
skew: 0.2727
c5: 1325
c0: -2
Y1: -1
Y0: 1000000000000000000000000000000
n: 349195514392576303442480768949623660222629926725855120409080168858990072509907351783963989520481285291723099147941271632953700631568397
# 53*10^152-8, difficulty: 154.63, anorm: -1.10e+31, rnorm: 3.14e+37
# scaled difficulty: 155.92, suggest sieving rational side
# size = 5.309e-11, alpha = -0.404, combined = 8.718e-10, rroots = 1
type: snfs
size: 154
skew: 0.5455
c5: 1325
c0: -64
Y1: -1
Y0: 2000000000000000000000000000000
11/24/21 16:00:59, gen: selected polynomial:
n: 349195514392576303442480768949623660222629926725855120409080168858990072509907351783963989520481285291723099147941271632953700631568397
# 53*10^152-8, difficulty: 152.00, anorm: 8.11e+29, rnorm: 1.16e+45
# scaled difficulty: 155.03, suggest sieving rational side
# size = 1.181e-15, alpha = -0.835, combined = 1.199e-09, rroots = 2
type: snfs
size: 152
skew: 0.8600
c4: 53
c0: -8
Y1: -1
Y0: 100000000000000000000000000000000000000
11/24/21 16:00:59, nfs: commencing lattice sieving with 8 threads
11/24/21 16:09:04, nfs: commencing lattice sieving with 8 threads
11/24/21 16:16:53, nfs: commencing lattice sieving with 8 threads
11/24/21 16:25:04, nfs: commencing lattice sieving with 8 threads
11/24/21 16:32:53, nfs: commencing lattice sieving with 8 threads
11/24/21 16:40:36, nfs: commencing lattice sieving with 8 threads
11/24/21 16:50:33, nfs: commencing lattice sieving with 8 threads
11/24/21 16:58:42, nfs: commencing lattice sieving with 8 threads
11/24/21 17:07:37, nfs: commencing lattice sieving with 8 threads
11/24/21 17:15:56, nfs: commencing lattice sieving with 8 threads
11/24/21 17:24:14, nfs: commencing lattice sieving with 8 threads
11/24/21 17:32:52, nfs: commencing lattice sieving with 8 threads
11/24/21 17:42:06, nfs: commencing lattice sieving with 8 threads
11/24/21 17:51:15, nfs: commencing lattice sieving with 8 threads
11/24/21 17:59:39, nfs: commencing lattice sieving with 8 threads
11/24/21 18:08:44, nfs: commencing lattice sieving with 8 threads
11/24/21 18:17:55, nfs: commencing lattice sieving with 8 threads
11/24/21 18:26:57, nfs: commencing lattice sieving with 8 threads
11/24/21 18:36:07, nfs: commencing lattice sieving with 8 threads
11/24/21 18:45:21, nfs: commencing lattice sieving with 8 threads
11/24/21 18:54:27, nfs: commencing lattice sieving with 8 threads
11/24/21 19:03:28, nfs: commencing lattice sieving with 8 threads
11/24/21 19:12:29, nfs: commencing lattice sieving with 8 threads
11/24/21 19:21:18, nfs: commencing lattice sieving with 8 threads
11/24/21 19:29:54, nfs: commencing msieve filtering
11/24/21 19:32:42, nfs: commencing msieve linear algebra
11/24/21 19:37:46, nfs: commencing msieve sqrt
11/24/21 19:41:46, prp93 = 590456347038260803735587313303578870047309100897337595135589341117102121982866080306242836769
11/24/21 19:41:46, C20 = 15177743646619634136
11/24/21 19:41:46, prp42 = 591399374643268739458406721724829717941613
software ソフトウェア
YAFU 2.06
GGNFS
execution environment 実行環境
Core i5-9300H 2.4GHz, Windows 10 2004

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

53×10154-89

c129

name 名前Mitchell Dickerman
date 日付November 28, 2021 04:48:31 UTC 2021 年 11 月 28 日 (日) 13 時 48 分 31 秒 (日本時間)
composite number 合成数
245911526242144012839879215987670381691679275256849975953946222323956978374892273818731430327405141127364079533640836196766041581<129>
prime factors 素因数
11470228024691047186466707343700431903623927283298699910765073<62>
21439114001290108391741305653671259769204937776939735312286468141597<68>
factorization results 素因数分解の結果
P68 = 21439114001290108391741305653671259769204937776939735312286468141597
P62 = 11470228024691047186466707343700431903623927283298699910765073

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

53×10156-89

c137

name 名前NyanCat
date 日付December 3, 2021 10:55:57 UTC 2021 年 12 月 3 日 (金) 19 時 55 分 57 秒 (日本時間)
composite number 合成数
56299421920603302911870489277403993699846868610343710627662547463703228388931812349499150657594382138396404851646223511428618409015625129<137>
prime factors 素因数
6688931562103784912958178892360475855871277964282047651837823773<64>
8416803400944972279194222566427873130446715847026406005763615038915678973<73>
factorization results 素因数分解の結果
Number: 58888_156
N=56299421920603302911870489277403993699846868610343710627662547463703228388931812349499150657594382138396404851646223511428618409015625129
  ( 137 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=6688931562103784912958178892360475855871277964282047651837823773 (pp64)
 r2=8416803400944972279194222566427873130446715847026406005763615038915678973 (pp73)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 15.58 hours.
Scaled time: 50.17 units (timescale=3.220).
Factorization parameters were as follows:
n: 56299421920603302911870489277403993699846868610343710627662547463703228388931812349499150657594382138396404851646223511428618409015625129
m: 1000000000000000000000000000000000000000
deg: 4
c4: 53
c0: -8
skew: 0.62
# Murphy_E = 7.352e-10
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1500000, 3600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 400646 x 400871
Total sieving time: 15.46 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,157.000,4,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 15.58 hours.
 --------- CPU info (if available) ----------
[    0.091660] smpboot: CPU0: Intel(R) Core(TM) i5-9400F CPU @ 2.90GHz (family: 0x6, model: 0x9e, stepping: 0xa)
[    0.078513] Memory: 16251672K/16691600K available (18438K kernel code, 1746K rwdata, 4144K rodata, 1168K init, 992K bss, 439668K reserved, 0K cma-reserved)
[    0.088838] Calibrating delay loop (skipped), value calculated using timer frequency.. 5799.77 BogoMIPS (lpj=2899886)
[    0.093269] smpboot: Total of 6 processors activated (34798.63 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

53×10157-89

c122

name 名前Bob Backstrom
date 日付November 23, 2021 22:07:24 UTC 2021 年 11 月 24 日 (水) 7 時 7 分 24 秒 (日本時間)
composite number 合成数
60840309466803347726442175094510803110120042871975672980421167224781981204281092430030885546406842151273510269095972930381<122>
prime factors 素因数
7796389453321366055033539444625292101<37>
7803651912345728593570900510670660320290919786128571449315069896717045309499980850281<85>
factorization results 素因数分解の結果
CADO

STA:Wed 24 Nov 2021 05:23:01 AEDT (60,840,309,466,803,347,726,442,175,094,510,803,110,120,042,871,975,672,980,421,167,224,781,981,204,281,092,430,030,885,546,406,842,151,273,510,269,095,972,930,381 - C122)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 60840309466803347726442175094510803110120042871975672980421167224781981204281092430030885546406842151273510269095972930381 2>&1 | tee -a log95

Debug:root: Looking for parameter file for c122 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c120
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c120
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.2fieh3dq
Info:Database: Opened connection to database /tmp/cado.2fieh3dq/c120.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 6084030946680334772644217509451080311012004287197567298042116722478198120428109243003
0885546406842151273510269095972930381
Debug:root: Root parameter dictionary:
N = 60840309466803347726442175094510803110120042871975672980421167224781981204281092430030885546406842151273510269095972930381
lim0 = 5667620
lim1 = 18220697
lpb0 = 26
lpb1 = 27
name = c120
...
n: 60840309466803347726442175094510803110120042871975672980421167224781981204281092430030885546406842151273510269095972930381
skew: 281764.701
c0: -1393268109016927625722657323200
c1: 1154556586863453901124300
c2: 80311997626294318512
c3: -19537122389099
c4: -286936036
c5: 780
Y0: -601941332890380030519693
Y1: 21195637298092633
# MurphyE (Bf=1.82e+07,Bg=5.67e+06,area=2.45e+15) = 1.33e-09
# f(x) = 780*x^5-286936036*x^4-19537122389099*x^3+80311997626294318512*x^2+1154556586863453901124300*x-1393268109016927625722657323200
# g(x) = 21195637298092633*x-601941332890380030519693
...
Info:Square Root: finished
Info:Square Root: Factors: 7796389453321366055033539444625292101 7803651912345728593570900510670660320290919786128571449315069896717045309499980850281
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 10356.5
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 10467/36.540/43.600/48.280/1.042
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 10467/35.290/38.800/44.090/1.170
Info:Polynomial Selection (size optimized): Total time: 1143.04
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 511.49
Info:Polynomial Selection (root optimized): Rootsieve time: 510.6
Info:Generate Factor Base: Total cpu/real time for makefb: 23.7/2.1434
Info:Generate Free Relations: Total cpu/real time for freerel: 148.63/9.91945
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11000773
Info:Lattice Sieving: Average J: 8192 for 26844 special-q, max bucket fill: 0.6625
Info:Lattice Sieving: Total CPU time: 80583.8s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 27.88/38.1773
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 37.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 247.71/137.041
Info:Filtering - Singleton removal: Total cpu/real time for purge: 195.84/114.785
Info:Filtering - Merging: Total cpu/real time for merge: 477.41/389.244
Info:Filtering - Merging: Total cpu/real time for replay: 37.96/28.7838
Info:Linear Algebra: Total cpu/real time for bwc: 21700.2/0.000330687
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 897.84
Info:Linear Algebra: Lingen CPU time 218.74, WCT time 21.64
Info:Linear Algebra: Mksol: WCT time 502.33
Info:Quadratic Characters: Total cpu/real time for characters: 36.7/8.77411
Info:Square Root: Total cpu/real time for sqrt: 806.09/116.095
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 105940/7588.21
Info:root: Cleaning up computation data in /tmp/cado.2fieh3dq
7796389453321366055033539444625292101 7803651912345728593570900510670660320290919786128571449315069896717045309499980850281

END:Wed 24 Nov 2021 07:29:29 AEDT (60,840,309,466,803,347,726,442,175,094,510,803,110,120,042,871,975,672,980,421,167,224,781,981,204,281,092,430,030,885,546,406,842,151,273,510,269,095,972,930,381 - C122)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

53×10158-89

c156

name 名前Mitchell Dickerman
date 日付November 28, 2021 15:10:38 UTC 2021 年 11 月 29 日 (月) 0 時 10 分 38 秒 (日本時間)
composite number 合成数
389476778365667254556143445032333921222810111699000587889476778365667254556143445032333921222810111699000587889476778365667254556143445032333921222810111699<156>
prime factors 素因数
769612168757136887899051874354107097331920629897<48>
506068893108384206011596592624749013671759616301596763434524347541915211239949685946749023105502380691903867<108>
factorization results 素因数分解の結果
P48 = 769612168757136887899051874354107097331920629897
P108 = 506068893108384206011596592624749013671759616301596763434524347541915211239949685946749023105502380691903867

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

53×10159-89

c159

name 名前Mitchell Dickerman
date 日付November 28, 2021 16:13:20 UTC 2021 年 11 月 29 日 (月) 1 時 13 分 20 秒 (日本時間)
composite number 合成数
736111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<159>
prime factors 素因数
605070969453890994607894510672392980830545182306269120230811843567<66>
1216569870763244307066374006824172427503116219101638168611436059723133929245953944230378680233<94>
factorization results 素因数分解の結果
P94 = 1216569870763244307066374006824172427503116219101638168611436059723133929245953944230378680233
P66 = 605070969453890994607894510672392980830545182306269120230811843567

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

53×10162-89

c145

name 名前Mitchell Dickerman
date 日付November 29, 2021 00:09:26 UTC 2021 年 11 月 29 日 (月) 9 時 9 分 26 秒 (日本時間)
composite number 合成数
9197548140045518676836974504355773484538017232386957679080419479726123558480438714160080853689807808726015034326407019023831834875679064830466451<145>
prime factors 素因数
141839253198042071239263080697483775690970102180209126287868320280093<69>
64844871448974044059851332431817934513442407002948916512454832177948520650607<77>
factorization results 素因数分解の結果
P11 = 10383661009
P77 = 64844871448974044059851332431817934513442407002948916512454832177948520650607
P69 = 141839253198042071239263080697483775690970102180209126287868320280093

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

53×10163-89

c158

name 名前Mitchell Dickerman
date 日付November 29, 2021 04:10:55 UTC 2021 年 11 月 29 日 (月) 13 時 10 分 55 秒 (日本時間)
composite number 合成数
15519914803281273096854341675668217252569805062842184838554232673157153603115133873028121617097815756473444313022977204583399805421264368219993445325038553811<158>
prime factors 素因数
404869377425005094930402204902241693<36>
38333140683518509234337806672434908519323788673997825866104102678146771878897187701844512768254148656737183897550352551727<122>
factorization results 素因数分解の結果
P36 = 404869377425005094930402204902241693
P122 = 38333140683518509234337806672434908519323788673997825866104102678146771878897187701844512768254148656737183897550352551727

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

53×10165-89

c112

name 名前ivelive
date 日付November 22, 2021 08:57:45 UTC 2021 年 11 月 22 日 (月) 17 時 57 分 45 秒 (日本時間)
composite number 合成数
2006061189288299031123556574938630781484188115496765198976342088158359562233384927190491126191251577762240991277<112>
prime factors 素因数
1882662434313341748055700793041760200858264638507073<52>
1065544811818569147248753872167085166031134872336164708723949<61>
factorization results 素因数分解の結果
11/22/21 15:44:55 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing nfs on c112: 2006061189288299031123556574938630781484188115496765198976342088158359562233384927190491126191251577762240991277
11/22/21 15:44:55 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing poly selection with 16 threads
11/22/21 15:44:55 v1.34.5 @ DESKTOP-RJPVCOL, nfs: setting deadline of 287 seconds
11/22/21 15:49:39 v1.34.5 @ DESKTOP-RJPVCOL, nfs: completed 102 ranges of size 250 in 283.6102 seconds
11/22/21 15:49:39 v1.34.5 @ DESKTOP-RJPVCOL, nfs: best poly = # norm 1.308548e-010 alpha -6.102742 e 8.100e-010 rroots 3
11/22/21 15:49:39 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 15:54:18 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 15:58:43 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 16:03:06 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 16:07:44 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 16:12:03 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 16:16:26 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 16:20:53 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 16:25:31 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 16:29:56 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 16:34:27 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 16:38:55 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 16:43:27 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 16:47:55 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 16:52:29 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 16:57:02 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 17:01:20 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering
11/22/21 17:01:55 v1.34.5 @ DESKTOP-RJPVCOL, nfs: raising min_rels by 5.00 percent to 4787137
11/22/21 17:01:55 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 17:06:36 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering
11/22/21 17:07:15 v1.34.5 @ DESKTOP-RJPVCOL, nfs: raising min_rels by 5.00 percent to 5086230
11/22/21 17:07:15 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 17:40:56 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering
11/22/21 17:41:35 v1.34.5 @ DESKTOP-RJPVCOL, nfs: raising min_rels by 5.00 percent to 5385773
11/22/21 17:41:35 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 17:46:16 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering
11/22/21 17:46:59 v1.34.5 @ DESKTOP-RJPVCOL, nfs: raising min_rels by 5.00 percent to 5686000
11/22/21 17:46:59 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 17:51:44 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering
11/22/21 17:52:42 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve linear algebra
11/22/21 17:55:45 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve sqrt
11/22/21 17:56:58 v1.34.5 @ DESKTOP-RJPVCOL, prp52 = 1882662434313341748055700793041760200858264638507073
11/22/21 17:56:58 v1.34.5 @ DESKTOP-RJPVCOL, prp61 = 1065544811818569147248753872167085166031134872336164708723949

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

53×10166-89

c166

name 名前Mitchell Dickerman
date 日付November 29, 2021 16:27:07 UTC 2021 年 11 月 30 日 (火) 1 時 27 分 7 秒 (日本時間)
composite number 合成数
7361111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<166>
prime factors 素因数
47125725484174115455133215633423920809<38>
156201544601857402104291547971210288239935667692379187383043629684711498566101093132389254797583854590607701860450119225980080879<129>
factorization results 素因数分解の結果
P38 = 47125725484174115455133215633423920809
P129 = 156201544601857402104291547971210288239935667692379187383043629684711498566101093132389254797583854590607701860450119225980080879

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

53×10168-89

c146

name 名前Bob Backstrom
date 日付November 27, 2021 20:20:21 UTC 2021 年 11 月 28 日 (日) 5 時 20 分 21 秒 (日本時間)
composite number 合成数
65390242001641998409206474817464841914505211032370481927130864974293618790183867419110963262983775892388753738726999638052882406773860155593639619<146>
prime factors 素因数
6410201247943359590391781054854003045160499<43>
3232969353957506701972766778908763011034368119<46>
3155292988580396494265809604760511647463707778335975790999<58>
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 65390242001641998409206474817464841914505211032370481927130864974293618790183867419110963262983775892388753738726999638052882406773860155593639619 (146 digits)
Using B1=38060000, B2=192391699516, polynomial Dickson(12), sigma=1:2011140792
Step 1 took 75817ms
Step 2 took 27388ms
********** Factor found in step 2: 6410201247943359590391781054854003045160499
Found prime factor of 43 digits: 6410201247943359590391781054854003045160499
Composite cofactor 10200965534837415025803413005434954481285457133141551377203955251145185180660739317780434375955172760881 has 104 digits


CADO

STA:Sun 28 Nov 2021 06:57:48 AEDT (10,200,965,534,837,415,025,803,413,005,434,954,481,285,457,133,141,551,377,203,955,251,145,185,180,660,739,317,780,434,375,955,172,760,881 - C104)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 10200965534837415025803413005434954481285457133141551377203955251145185180660739317780434375955172760881 2>&1 | tee -a log105

Debug:root: Looking for parameter file for c104 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c105
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c105
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.paxb_y7d
Info:Database: Opened connection to database /tmp/cado.paxb_y7d/c105.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 1020096553483741502580341300543495448128545713314155137720395525114518518066073931778
0434375955172760881
Debug:root: Root parameter dictionary:
N = 10200965534837415025803413005434954481285457133141551377203955251145185180660739317780434375955172760881
lim0 = 823116
lim1 = 1218966
lpb0 = 24
lpb1 = 24
name = c105
...
n: 10200965534837415025803413005434954481285457133141551377203955251145185180660739317780434375955172760881
skew: 342884.219
c0: 910747503722339320942144800
c1: 7988885317161024280243
c2: -31427511050784539
c3: -14031390618
c4: 112320
Y0: -4831520860290048862286094
Y1: 372284149
# MurphyE (Bf=1.22e+06,Bg=8.23e+05,area=2.56e+12) = 5.48e-09
# f(x) = 112320*x^4-14031390618*x^3-31427511050784539*x^2+7988885317161024280243*x+910747503722339320942144800
# g(x) = 372284149*x-4831520860290048862286094
...
Info:Square Root: finished
Info:Square Root: Factors: 3232969353957506701972766778908763011034368119 3155292988580396494265809604760511647463707778335975790999
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11429.5
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11436/32.800/39.206/42.620/0.684
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 11436/32.780/38.013/40.030/1.026
Info:Polynomial Selection (size optimized): Total time: 230.23
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 78.92
Info:Polynomial Selection (root optimized): Rootsieve time: 78.59
Info:Generate Factor Base: Total cpu/real time for makefb: 1.2/0.139902
Info:Generate Free Relations: Total cpu/real time for freerel: 12.93/0.853577
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 1933944
Info:Lattice Sieving: Average J: 983.974 for 175011 special-q, max bucket fill: 0.809304
Info:Lattice Sieving: Total CPU time: 12360.9s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 4.94/4.44528
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 4.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 28.28/13.936
Info:Filtering - Singleton removal: Total cpu/real time for purge: 21.02/12.1307
Info:Filtering - Merging: Total cpu/real time for merge: 81.14/63.4293
Info:Filtering - Merging: Total cpu/real time for replay: 8.53/6.72325
Info:Linear Algebra: Total cpu/real time for bwc: 1501.7/0.000316858
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 59.92
Info:Linear Algebra: Lingen CPU time 50.57, WCT time 5.22
Info:Linear Algebra: Mksol: WCT time 34.59
Info:Quadratic Characters: Total cpu/real time for characters: 7.87/1.83327
Info:Square Root: Total cpu/real time for sqrt: 132.9/19.5883
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 14470.6/1137.29
Info:root: Cleaning up computation data in /tmp/cado.paxb_y7d
3232969353957506701972766778908763011034368119 3155292988580396494265809604760511647463707778335975790999

END:Sun 28 Nov 2021 07:16:45 AEDT (10,200,965,534,837,415,025,803,413,005,434,954,481,285,457,133,141,551,377,203,955,251,145,185,180,660,739,317,780,434,375,955,172,760,881 - C104)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

53×10169-89

c136

name 名前Bob Backstrom
date 日付November 25, 2021 18:18:03 UTC 2021 年 11 月 26 日 (金) 3 時 18 分 3 秒 (日本時間)
composite number 合成数
2759835441401611400600371435836152593344835236231542411512904190866500658833440129102129511663337222980247513775657826150079553653074541<136>
prime factors 素因数
9648910503495136376149864975659557921<37>
286025602621343923997256074982963669113827815642174619221857449472193837657044418506349076622294221<99>
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 2759835441401611400600371435836152593344835236231542411512904190866500658833440129102129511663337222980247513775657826150079553653074541 (136 digits)
Using B1=35580000, B2=192388936756, polynomial Dickson(12), sigma=1:2584177282
Step 1 took 68771ms
Step 2 took 25561ms
********** Factor found in step 2: 9648910503495136376149864975659557921
Found prime factor of 37 digits: 9648910503495136376149864975659557921
Prime cofactor 286025602621343923997256074982963669113827815642174619221857449472193837657044418506349076622294221 has 99 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

53×10173-89

c118

name 名前ivelive
date 日付November 22, 2021 14:06:58 UTC 2021 年 11 月 22 日 (月) 23 時 6 分 58 秒 (日本時間)
composite number 合成数
2023835562549457284040280712062764477225648648530787247927434019627989131182337865747367309160792554222319155262923557<118>
prime factors 素因数
11388464084735286650223099396810265846214820776839957<53>
177709263294085305833692080270301743850589026112561483545328974801<66>
factorization results 素因数分解の結果
11/22/21 20:07:24 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing nfs on c118: 2023835562549457284040280712062764477225648648530787247927434019627989131182337865747367309160792554222319155262923557
11/22/21 20:07:24 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing poly selection with 16 threads
11/22/21 20:07:24 v1.34.5 @ DESKTOP-RJPVCOL, nfs: setting deadline of 646 seconds
11/22/21 20:17:25 v1.34.5 @ DESKTOP-RJPVCOL, nfs: completed 54 ranges of size 250 in 600.8149 seconds
11/22/21 20:17:25 v1.34.5 @ DESKTOP-RJPVCOL, nfs: best poly = # norm 3.663753e-011 alpha -7.573405 e 4.030e-010 rroots 3
11/22/21 20:17:25 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 20:22:36 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 20:27:41 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 20:32:41 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 20:37:54 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 20:42:53 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 20:48:17 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 20:53:21 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 20:58:42 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 21:03:51 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 21:09:01 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 21:14:23 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 21:19:35 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 21:24:38 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 21:30:05 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 21:35:12 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 21:40:35 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 21:45:49 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 21:51:10 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 21:56:32 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 22:01:50 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 22:07:11 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 22:12:42 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 22:18:06 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 22:23:09 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 22:28:30 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 22:33:42 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 22:39:21 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 22:44:37 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 22:50:18 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 22:55:54 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering
11/22/21 22:57:41 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve linear algebra
11/22/21 23:04:33 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve sqrt
11/22/21 23:05:44 v1.34.5 @ DESKTOP-RJPVCOL, prp66 = 177709263294085305833692080270301743850589026112561483545328974801
11/22/21 23:05:44 v1.34.5 @ DESKTOP-RJPVCOL, prp53 = 11388464084735286650223099396810265846214820776839957
11/22/21 23:05:44 v1.34.5 @ DESKTOP-RJPVCOL, NFS elapsed time = 10700.0499 seconds.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

53×10174-89

c159

name 名前Mitchell Dickerman
date 日付December 2, 2021 02:19:25 UTC 2021 年 12 月 2 日 (木) 11 時 19 分 25 秒 (日本時間)
composite number 合成数
409643480691410988372986899349127326612437012413251417442977752208316906729299373632401067071520472354503072157908533808261708834992417076245305790091309296607<159>
prime factors 素因数
227144942776483630523568773222662281229928471<45>
569383498870369346836920417731469014662939988009<48>
3167364893713122794989502426253410872310488699951995304230494498513<67>
factorization results 素因数分解の結果
P45 = 227144942776483630523568773222662281229928471
P67 = 3167364893713122794989502426253410872310488699951995304230494498513
P48 = 569383498870369346836920417731469014662939988009

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

53×10175-89

c132

name 名前Bob Backstrom
date 日付November 25, 2021 20:02:29 UTC 2021 年 11 月 26 日 (金) 5 時 2 分 29 秒 (日本時間)
composite number 合成数
204058946718168351989585094943053603433171470720471834042573666972573020744376605337422816607956560702283868515922951580668731668043<132>
prime factors 素因数
5718175188191553673542756756043001797<37>
1367116929435750887424668915450817670451629<43>
26103126170707373341584030021641469098172921314335211<53>
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 204058946718168351989585094943053603433171470720471834042573666972573020744376605337422816607956560702283868515922951580668731668043 (132 digits)
Using B1=36260000, B2=192389627446, polynomial Dickson(12), sigma=1:3574942062
Step 1 took 56030ms
Step 2 took 23433ms
********** Factor found in step 2: 5718175188191553673542756756043001797
Found prime factor of 37 digits: 5718175188191553673542756756043001797
Composite cofactor 35686025699171454393846664750455839390761126535365873920369626554380497693026740702250267008719 has 95 digits


CADO

STA:Fri 26 Nov 2021 06:49:22 AEDT (35,686,025,699,171,454,393,846,664,750,455,839,390,761,126,535,365,873,920,369,626,554,380,497,693,026,740,702,250,267,008,719 - C95)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 35686025699171454393846664750455839390761126535365873920369626554380497693026740702250267008719 2>&1 | tee -a log103

Debug:root: Looking for parameter file for c95 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c95
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c95
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.n2jkysq_
Info:Database: Opened connection to database /tmp/cado.n2jkysq_/c95.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 3568602569917145439384666475045583939076112653536587392036962655438049769302674070225
0267008719
Debug:root: Root parameter dictionary:
N = 35686025699171454393846664750455839390761126535365873920369626554380497693026740702250267008719
lim0 = 3660220
lim1 = 2758600
lpb0 = 23
lpb1 = 23
name = c95
...
: 35686025699171454393846664750455839390761126535365873920369626554380497693026740702250267008719
skew: 333831.941
c0: -12363625973574185784723061
c1: 167225597170783401973
c2: 3545942505938816
c3: -5265979008
c4: 2880
Y0: -59721796509252521139980
Y1: 856373475982427
# MurphyE (Bf=2.76e+06,Bg=3.66e+06,area=9.26e+13) = 3.26e-08
# f(x) = 2880*x^4-5265979008*x^3+3545942505938816*x^2+167225597170783401973*x-12363625973574185784723061
# g(x) = 856373475982427*x-59721796509252521139980
...
Info:Square Root: finished
Info:Square Root: Factors: 26103126170707373341584030021641469098172921314335211 1367116929435750887424668915450817670451629
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 37.21/5.62354
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 3427.68
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 3444/30.820/35.796/39.340/0.703
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 3444/30.650/34.808/36.930/1.106
Info:Polynomial Selection (size optimized): Total time: 67.45
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 29.69
Info:Polynomial Selection (root optimized): Rootsieve time: 29.47
Info:Generate Factor Base: Total cpu/real time for makefb: 2.66/0.301823
Info:Generate Free Relations: Total cpu/real time for freerel: 6.46/0.441832
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 976935
Info:Lattice Sieving: Average J: 3932.91 for 7284 special-q, max bucket fill: 0.634705
Info:Lattice Sieving: Total CPU time: 4415.77s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 2.18/2.69436
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 2.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 8.73/3.45653
Info:Filtering - Singleton removal: Total cpu/real time for purge: 7.58/4.59046
Info:Filtering - Merging: Total cpu/real time for merge: 35.7/28.6209
Info:Filtering - Merging: Total cpu/real time for replay: 3.82/3.20491
Info:Linear Algebra: Total cpu/real time for bwc: 216.08/0.000319004
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 13.95
Info:Linear Algebra: Lingen CPU time 75.13, WCT time 6.5
Info:Linear Algebra: Mksol: WCT time 4.89
Info:Quadratic Characters: Total cpu/real time for characters: 2.87/0.668365
Info:Square Root: Total cpu/real time for sqrt: 37.21/5.62354
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 4836.2/431.929
Info:root: Cleaning up computation data in /tmp/cado.n2jkysq_
26103126170707373341584030021641469098172921314335211 1367116929435750887424668915450817670451629

END:Fri 26 Nov 2021 06:56:34 AEDT (35,686,025,699,171,454,393,846,664,750,455,839,390,761,126,535,365,873,920,369,626,554,380,497,693,026,740,702,250,267,008,719 - C95)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

53×10176-89

c130

name 名前Bob Backstrom
date 日付November 26, 2021 04:16:39 UTC 2021 年 11 月 26 日 (金) 13 時 16 分 39 秒 (日本時間)
composite number 合成数
1367483606070894480311837159522681364292609711867844682771530747939676982049093676426567868640573998313308245627808249991502105079<130>
prime factors 素因数
1095886129170117923634041974473912821322497<43>
1247833665990871947620769060244760020372047019937434262375350863656299116696648810050807<88>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1367483606070894480311837159522681364292609711867844682771530747939676982049093676426567868640573998313308245627808249991502105079 (130 digits)
Using B1=39580000, B2=192393080896, polynomial Dickson(12), sigma=1:3258763269
Step 1 took 61234ms
Step 2 took 1253ms
********** Factor found in step 2: 1095886129170117923634041974473912821322497
Found prime factor of 43 digits: 1095886129170117923634041974473912821322497
Prime cofactor 1247833665990871947620769060244760020372047019937434262375350863656299116696648810050807 has 88 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

53×10177-89

c163

name 名前Mitchell Dickerman
date 日付December 3, 2021 17:33:27 UTC 2021 年 12 月 4 日 (土) 2 時 33 分 27 秒 (日本時間)
composite number 合成数
1752334654137251039160381905599225309705502784490222673761212595974428906108124227511349114394248461903765338709942992608798147520784412604853054703900347410181287<163>
prime factors 素因数
11359909776437588000513386303340056901291286367<47>
154256036238236268250425903491420473123504642723621809644552227189751517454636075158358906369104150212575551214968761<117>
factorization results 素因数分解の結果
P47 = 11359909776437588000513386303340056901291286367
P117 = 154256036238236268250425903491420473123504642723621809644552227189751517454636075158358906369104150212575551214968761

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

53×10179-89

c159

name 名前Mitchell Dickerman
date 日付December 4, 2021 12:51:19 UTC 2021 年 12 月 4 日 (土) 21 時 51 分 19 秒 (日本時間)
composite number 合成数
367281643260215565605358176130241767475477767688770257980081025171430500755371408523480444483929383094312163289336265041228362751327240762014726009481349181939<159>
prime factors 素因数
2431803921106820541840730172154987003847902815444936158243301<61>
151032589458548776870644515986670310450034464427195870596493485157977059088502238989263732170133239<99>
factorization results 素因数分解の結果
P61 = 2431803921106820541840730172154987003847902815444936158243301
P99 = 151032589458548776870644515986670310450034464427195870596493485157977059088502238989263732170133239

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e62080NyanCatDecember 4, 2021 10:26:12 UTC 2021 年 12 月 4 日 (土) 19 時 26 分 12 秒 (日本時間)

53×10181-89

c168

name 名前Mitchell Dickerman
date 日付December 5, 2021 07:29:28 UTC 2021 年 12 月 5 日 (日) 16 時 29 分 28 秒 (日本時間)
composite number 合成数
187352592283139215867064450258416986954432184344661467804307833754861469572571427387006327530687011198891595724779524447899462935278658014142330132742427275700075186823<168>
prime factors 素因数
14635614790871739618556736687568465102788010825678743363759585634914205507188249<80>
12801142620943493189710603538353818878208737336242151362216522961638224310826101328320927<89>
factorization results 素因数分解の結果
P89 = 12801142620943493189710603538353818878208737336242151362216522961638224310826101328320927
P80 = 14635614790871739618556736687568465102788010825678743363759585634914205507188249

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

53×10185-89

c183

name 名前Eric Jeancolas
date 日付December 4, 2021 19:10:32 UTC 2021 年 12 月 5 日 (日) 4 時 10 分 32 秒 (日本時間)
composite number 合成数
908779149519890260631001371742112482853223593964334705075445816186556927297668038408779149519890260631001371742112482853223593964334705075445816186556927297668038408779149519890260631<183>
prime factors 素因数
58449337769106683061835528356913699691136200634616163<53>
15548151342789451206859411140788149670702417565410964762719176583255513971121022491424754690848037477359571640345159918724884210237<131>
factorization results 素因数分解の結果
908779149519890260631001371742112482853223593964334705075445816186556927297668038408779149519890260631001371742112482853223593964334705075445816186556927297668038408779149519890260631=58449337769106683061835528356913699691136200634616163*15548151342789451206859411140788149670702417565410964762719176583255513971121022491424754690848037477359571640345159918724884210237

cado polynomial
n: 908779149519890260631001371742112482853223593964334705075445816186556927297668038408779149519890260631001371742112482853223593964334705075445816186556927297668038408779149519890260631
skew: 0.69
type: snfs
c0: -8
c5: 53
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 53*x^5-8
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 9100000
tasks.lim1 = 9100000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 15548151342789451206859411140788149670702417565410964762719176583255513971121022491424754690848037477359571640345159918724884210237 58449337769106683061835528356913699691136200634616163
Info:Square Root: Total cpu/real time for sqrt: 378.45/119.759
Info:Filtering - Singleton removal: Total cpu/real time for purge: 89.18/107.087
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22436775
Info:Lattice Sieving: Average J: 1894.22 for 1004882 special-q, max bucket fill -bkmult 1.0,1s:1.142600
Info:Lattice Sieving: Total time: 189274s
Info:Generate Factor Base: Total cpu/real time for makefb: 3.84/2.0877
Info:Linear Algebra: Total cpu/real time for bwc: 35626.3/9143.15
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 22748.73, WCT time 5813.83, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (46592 iterations)
Info:Linear Algebra: Lingen CPU time 288.24, WCT time 73.21
Info:Linear Algebra: Mksol: CPU time 12328.27,  WCT time 3158.79, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (23296 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 90.91/104.663
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 104.6s
Info:Generate Free Relations: Total cpu/real time for freerel: 118.27/31.8287
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 219.42/187.49
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 171.0s
Info:Filtering - Merging: Merged matrix has 1483682 rows and total weight 253393556 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 378.95/105.763
Info:Filtering - Merging: Total cpu/real time for replay: 57.03/48.6931
Info:Quadratic Characters: Total cpu/real time for characters: 53.85/21.6571
Info:Square Root: Total cpu/real time for sqrt: 378.45/119.759
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 390963/104970
Info:root: Cleaning up computation data in /tmp/cado.xtmsqhz0
15548151342789451206859411140788149670702417565410964762719176583255513971121022491424754690848037477359571640345159918724884210237 58449337769106683061835528356913699691136200634616163
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
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 JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

53×10186-89

c155

name 名前Eric Jeancolas
date 日付December 9, 2021 07:54:01 UTC 2021 年 12 月 9 日 (木) 16 時 54 分 1 秒 (日本時間)
composite number 合成数
34563776782812529701588404443755237172625825273757897840124346012018162384344128082453366343954629041551392255208522196584905106959429735778724585280375661<155>
prime factors 素因数
147178520744545575424828893311982176660271323224747<51>
234842534141269799323648971292668001475775537578706844688406919932581784094567373234566773222941847777863<105>
factorization results 素因数分解の結果
34563776782812529701588404443755237172625825273757897840124346012018162384344128082453366343954629041551392255208522196584905106959429735778724585280375661=147178520744545575424828893311982176660271323224747*234842534141269799323648971292668001475775537578706844688406919932581784094567373234566773222941847777863

cado polynomial
n: 34563776782812529701588404443755237172625825273757897840124346012018162384344128082453366343954629041551392255208522196584905106959429735778724585280375661
skew: 0.43
type: snfs
c0: -4
c5: 265
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 265*x^5-4
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 9300000
tasks.lim1 = 9300000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 147178520744545575424828893311982176660271323224747 234842534141269799323648971292668001475775537578706844688406919932581784094567373234566773222941847777863
Info:Square Root: Total cpu/real time for sqrt: 493.2/158.346
Info:Filtering - Singleton removal: Total cpu/real time for purge: 281.97/332.048
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24496223
Info:Lattice Sieving: Average J: 1895 for 1741754 special-q, max bucket fill -bkmult 1.0,1s:1.162090
Info:Lattice Sieving: Total time: 317952s
Info:Linear Algebra: Total cpu/real time for bwc: 57046.2/14641.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 36565.75, WCT time 9344.95, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (58112 iterations)
Info:Linear Algebra: Lingen CPU time 371.93, WCT time 94.45
Info:Linear Algebra: Mksol: CPU time 19762.18,  WCT time 5063.88, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (29184 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 3.98/2.17592
Info:Generate Free Relations: Total cpu/real time for freerel: 118.44/31.8056
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 100.18/116.752
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 116.30000000000001s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 396.59/392.936
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 320.59999999999997s
Info:Filtering - Merging: Merged matrix has 1852128 rows and total weight 315523821 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 501.56/138.721
Info:Filtering - Merging: Total cpu/real time for replay: 71.18/61.0893
Info:Quadratic Characters: Total cpu/real time for characters: 66.09/27.8234
Info:Square Root: Total cpu/real time for sqrt: 493.2/158.346
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 652643/174772
Info:root: Cleaning up computation data in /tmp/cado.ro5z35x6
147178520744545575424828893311982176660271323224747 234842534141269799323648971292668001475775537578706844688406919932581784094567373234566773222941847777863
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
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 JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

53×10187-89

c171

name 名前Eric Jeancolas
date 日付December 9, 2021 07:37:05 UTC 2021 年 12 月 9 日 (木) 16 時 37 分 5 秒 (日本時間)
composite number 合成数
112725164218011895837952003363515484832762724555813022231808589935651884102681641766685552507533453440590823113065720100767611772170224664321489905356374817164040699982503<171>
prime factors 素因数
3083539807641527991550483731543161387866099096409<49>
963930120927424384954015473577094479498504228123769093<54>
37925015408262350071855200925967079399178288208430805600608803322419<68>
factorization results 素因数分解の結果
112725164218011895837952003363515484832762724555813022231808589935651884102681641766685552507533453440590823113065720100767611772170224664321489905356374817164040699982503=3083539807641527991550483731543161387866099096409*963930120927424384954015473577094479498504228123769093*37925015408262350071855200925967079399178288208430805600608803322419

cado polynomial
n: 112725164218011895837952003363515484832762724555813022231808589935651884102681641766685552507533453440590823113065720100767611772170224664321489905356374817164040699982503
skew: 0.27
type: snfs
c0: -2
c5: 1325
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 1325*x^5-2
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 9600000
tasks.lim1 = 9600000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 3083539807641527991550483731543161387866099096409 963930120927424384954015473577094479498504228123769093 37925015408262350071855200925967079399178288208430805600608803322419
Info:Square Root: Total cpu/real time for sqrt: 1428.53/432.674
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24569801
Info:Lattice Sieving: Average J: 1895.83 for 1775628 special-q, max bucket fill -bkmult 1.0,1s:1.207000
Info:Lattice Sieving: Total time: 330403s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.15/2.23821
Info:Generate Free Relations: Total cpu/real time for freerel: 119.4/32.3111
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 100.75/116.266
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 115.69999999999999s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 399.2/395.535
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 319.5s
Info:Filtering - Merging: Merged matrix has 1886166 rows and total weight 321314906 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 499.72/138.419
Info:Filtering - Merging: Total cpu/real time for replay: 73.48/62.1722
Info:Linear Algebra: Total cpu/real time for bwc: 59417.1/15243.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 38094.15, WCT time 9731.19, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (59136 iterations)
Info:Linear Algebra: Lingen CPU time 376.08, WCT time 95.62
Info:Linear Algebra: Mksol: CPU time 20593.84,  WCT time 5277.59, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (29696 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 67.29/28.3087
Info:Square Root: Total cpu/real time for sqrt: 1428.53/432.674
Info:Filtering - Singleton removal: Total cpu/real time for purge: 281.07/329.631
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 679686/181885
Info:root: Cleaning up computation data in /tmp/cado.bediuc8a
3083539807641527991550483731543161387866099096409 963930120927424384954015473577094479498504228123769093 37925015408262350071855200925967079399178288208430805600608803322419
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
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 JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

53×10189-89

c131

name 名前Eric Jeancolas
date 日付November 24, 2021 12:55:53 UTC 2021 年 11 月 24 日 (水) 21 時 55 分 53 秒 (日本時間)
composite number 合成数
11958176236390230590122855357989951821146881731417419998786216143865679066261167917423099979247487728391492630445524471037261348983<131>
prime factors 素因数
14010189448401232423279378682003384506402392602683161931<56>
853534228101022105709786280832011517712544881149956713708276989626459007493<75>
factorization results 素因数分解の結果
11958176236390230590122855357989951821146881731417419998786216143865679066261167917423099979247487728391492630445524471037261348983=14010189448401232423279378682003384506402392602683161931*853534228101022105709786280832011517712544881149956713708276989626459007493

cado polynomial
n: 11958176236390230590122855357989951821146881731417419998786216143865679066261167917423099979247487728391492630445524471037261348983
skew: 155432.288
c0: -3998823718339546284241786115760
c1: -602039242174701366342249112
c2: 746672902191719009313
c3: 46221790795905889
c4: -41672074650
c5: -291600
Y0: -16519033138645619090838255
Y1: 20140743840892673
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 4.694e-07
# f(x) = -291600*x^5-41672074650*x^4+46221790795905889*x^3+746672902191719009313*x^2-602039242174701366342249112*x-3998823718339546284241786115760
# g(x) = 20140743840892673*x-16519033138645619090838255

cado parameters (extracts)
tasks.lim0 = 13124945
tasks.lim1 = 44217255
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.I = 14
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 853534228101022105709786280832011517712544881149956713708276989626459007493 14010189448401232423279378682003384506402392602683161931
Info:Square Root: Total cpu/real time for sqrt: 1516.69/402.322
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 101.8/118.39
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 118.2s
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38597/38.890/46.451/50.980/0.841
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30493/37.280/41.716/47.250/1.001
Info:Polynomial Selection (size optimized): Total time: 5821.8
Info:Generate Free Relations: Total cpu/real time for freerel: 251.96/64.3076
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 312.01/276.711
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 250.4s
Info:Generate Factor Base: Total cpu/real time for makefb: 40.93/10.9071
Info:Quadratic Characters: Total cpu/real time for characters: 70.56/29.8391
Info:Square Root: Total cpu/real time for sqrt: 1516.69/402.322
Info:Filtering - Singleton removal: Total cpu/real time for purge: 152.43/172.317
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6880.51
Info:Polynomial Selection (root optimized): Rootsieve time: 6877.71
Info:Filtering - Merging: Merged matrix has 1789411 rows and total weight 306719430 (171.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 467.96/131.79
Info:Filtering - Merging: Total cpu/real time for replay: 73.3/62.3436
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23372263
Info:Lattice Sieving: Average J: 7951.65 for 56097 special-q, max bucket fill -bkmult 1.0,1s:1.074900
Info:Lattice Sieving: Total time: 89500s
Info:Linear Algebra: Total cpu/real time for bwc: 52227.9/13422.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 33421.8, WCT time 8550.89, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (56064 iterations)
Info:Linear Algebra: Lingen CPU time 350.01, WCT time 88.97
Info:Linear Algebra: Mksol: CPU time 18125.36,  WCT time 4654.27, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (28160 iterations)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 238289/35665.4
853534228101022105709786280832011517712544881149956713708276989626459007493 14010189448401232423279378682003384506402392602683161931
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-89-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
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 JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosNovember 22, 2021 19:50:35 UTC 2021 年 11 月 23 日 (火) 4 時 50 分 35 秒 (日本時間)

53×10191-89

c185

name 名前Eric Jeancolas
date 日付December 6, 2021 19:41:35 UTC 2021 年 12 月 7 日 (火) 4 時 41 分 35 秒 (日本時間)
composite number 合成数
37291633350462154508496553887198241028238125401096143234546248633367180064101081097115912922544461336850736480206811236619269422847663424461701605127591142299863121411594990458689341781<185>
prime factors 素因数
1581431845150001387095140645518297<34>
23580929816754121532812737139881055282350881640380684457245047731734521533611549712345059988838312529072946694674226695162166559228524454677900271761373<152>
factorization results 素因数分解の結果
37291633350462154508496553887198241028238125401096143234546248633367180064101081097115912922544461336850736480206811236619269422847663424461701605127591142299863121411594990458689341781=1581431845150001387095140645518297*23580929816754121532812737139881055282350881640380684457245047731734521533611549712345059988838312529072946694674226695162166559228524454677900271761373

cado polynomial
n: 37291633350462154508496553887198241028238125401096143234546248633367180064101081097115912922544461336850736480206811236619269422847663424461701605127591142299863121411594990458689341781
skew: 0.43
type: snfs
c0: -4
c5: 265
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 265*x^5-4
# g(x) = -x+100000000000000000000000000000000000000

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

cado log (extracts)
Info:Linear Algebra: Krylov: CPU time 58140.01, WCT time 14850.7, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (71680 iterations)
Info:Linear Algebra: Lingen CPU time 503.59, WCT time 127.5
Info:Linear Algebra: Mksol: CPU time 31368.89,  WCT time 8010.77, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (35840 iterations)
Info:Quadratic Characters: Starting
Info:Quadratic Characters: Total cpu/real time for characters: 79.81/34.9623
Info:Square Root: Starting
Info:Square Root: Creating file of (a,b) values
Info:Square Root: finished
Info:Square Root: Factors: 23580929816754121532812737139881055282350881640380684457245047731734521533611549712345059988838312529072946694674226695162166559228524454677900271761373 1581431845150001387095140645518297
Info:Square Root: Total cpu/real time for sqrt: 629.3/198.191
Info:Filtering - Singleton removal: Total cpu/real time for purge: 404.02/473.656
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 27885807
Info:Lattice Sieving: Average J: 1894.63 for 2628773 special-q, max bucket fill -bkmult 1.0,1s:1.133240
Info:Lattice Sieving: Total time: 532179s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.84/2.45441
Info:Linear Algebra: Total cpu/real time for bwc: 90806.6/23252.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 58140.01, WCT time 14850.7, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (71680 iterations)
Info:Linear Algebra: Lingen CPU time 503.59, WCT time 127.5
Info:Linear Algebra: Mksol: CPU time 31368.89,  WCT time 8010.77, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (35840 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 118.06/32.2418
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 116.52/134.095
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 133.39999999999998s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 509.89/521.879
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 417.3s
Info:Filtering - Merging: Merged matrix has 2285299 rows and total weight 391069515 (171.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 620.52/171.26
Info:Filtering - Merging: Total cpu/real time for replay: 89.37/77.2468
Info:Quadratic Characters: Total cpu/real time for characters: 79.81/34.9623
Info:Square Root: Total cpu/real time for sqrt: 629.3/198.191
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.09033e+06/290941
Info:root: Cleaning up computation data in /tmp/cado.8bbxe5rm
23580929816754121532812737139881055282350881640380684457245047731734521533611549712345059988838312529072946694674226695162166559228524454677900271761373 1581431845150001387095140645518297
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
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 JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

53×10193-89

c193

name 名前Eric Jeancolas
date 日付December 8, 2021 14:00:03 UTC 2021 年 12 月 8 日 (水) 23 時 0 分 3 秒 (日本時間)
composite number 合成数
7361111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<193>
prime factors 素因数
4689116603904222737838943689659523734011<40>
681328262887216130435385027319405959115992898142537154327372958995938161<72>
2304071415100398360607332361088076669200147345046080018604046828473810590109511541<82>
factorization results 素因数分解の結果
7361111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111=
4689116603904222737838943689659523734011*681328262887216130435385027319405959115992898142537154327372958995938161*2304071415100398360607332361088076669200147345046080018604046828473810590109511541

cado polynomial
n: 7361111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
skew: 0.17
type: snfs
c0: -1
c5: 6625
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 6625*x^5-1
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 11900000
tasks.lim1 = 11900000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 681328262887216130435385027319405959115992898142537154327372958995938161 4689116603904222737838943689659523734011 2304071415100398360607332361088076669200147345046080018604046828473810590109511541
Info:Square Root: Total cpu/real time for sqrt: 1922.21/576.293
Info:Filtering - Singleton removal: Total cpu/real time for purge: 410.53/478.135
Info:Generate Free Relations: Total cpu/real time for freerel: 119.25/32.4679
Info:Generate Factor Base: Total cpu/real time for makefb: 5.06/2.48613
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28229709
Info:Lattice Sieving: Average J: 1895.76 for 2825513 special-q, max bucket fill -bkmult 1.0,1s:1.129250
Info:Lattice Sieving: Total time: 591872s
Info:Linear Algebra: Total cpu/real time for bwc: 96451.7/24692.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 61759.55, WCT time 15767.77, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (74240 iterations)
Info:Linear Algebra: Lingen CPU time 510.35, WCT time 129.33
Info:Linear Algebra: Mksol: CPU time 33356.25,  WCT time 8521.02, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (37376 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 118.3/138.007
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 137.19999999999996s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 514.59/523.554
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 423.1s
Info:Filtering - Merging: Merged matrix has 2366174 rows and total weight 403050613 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 643.42/178.159
Info:Filtering - Merging: Total cpu/real time for replay: 91.2/79.1811
Info:Quadratic Characters: Total cpu/real time for characters: 82.05/35.9394
Info:Square Root: Total cpu/real time for sqrt: 1922.21/576.293
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.20931e+06/322638
Info:root: Cleaning up computation data in /tmp/cado.2hlhn6hg
681328262887216130435385027319405959115992898142537154327372958995938161 4689116603904222737838943689659523734011 2304071415100398360607332361088076669200147345046080018604046828473810590109511541
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
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 JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 7, 2021 08:36:07 UTC 2021 年 12 月 7 日 (火) 17 時 36 分 7 秒 (日本時間)

53×10194-89

c175

name 名前Eric Jeancolas
date 日付December 8, 2021 04:31:03 UTC 2021 年 12 月 8 日 (水) 13 時 31 分 3 秒 (日本時間)
composite number 合成数
3351096695902540028665770362911521899723693185890908468023054161546163966385793170421607168242666973377284902736296490779014069480232924902615651284630241604644010584464708827<175>
prime factors 素因数
60727312457637843741118459842542712601479941984971080121920014821030753<71>
55182693919481418369516590066375030469076289826787671138997229592692677796746323100438009738206568764859<104>
factorization results 素因数分解の結果
3351096695902540028665770362911521899723693185890908468023054161546163966385793170421607168242666973377284902736296490779014069480232924902615651284630241604644010584464708827=60727312457637843741118459842542712601479941984971080121920014821030753*55182693919481418369516590066375030469076289826787671138997229592692677796746323100438009738206568764859

cado polynomial
n: 3351096695902540028665770362911521899723693185890908468023054161546163966385793170421607168242666973377284902736296490779014069480232924902615651284630241604644010584464708827
skew: 0.54
type: snfs
c0: -5
c5: 106
Y0: 500000000000000000000000000000000000000
Y1: -1
# f(x) = 106*x^5-5
# g(x) = -x+500000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 12700000
tasks.lim1 = 12700000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 55182693919481418369516590066375030469076289826787671138997229592692677796746323100438009738206568764859 60727312457637843741118459842542712601479941984971080121920014821030753
Info:Square Root: Total cpu/real time for sqrt: 693.41/220.414
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 29050601
Info:Lattice Sieving: Average J: 1894.33 for 3288475 special-q, max bucket fill -bkmult 1.0,1s:1.143770
Info:Lattice Sieving: Total time: 826165s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.32/2.52164
Info:Generate Free Relations: Total cpu/real time for freerel: 120.04/32.9954
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 122.09/142.785
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 142.10000000000002s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 525.62/540.971
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 433.00000000000006s
Info:Filtering - Merging: Merged matrix has 2533106 rows and total weight 431282534 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 696.14/192.047
Info:Filtering - Merging: Total cpu/real time for replay: 98.27/85.5963
Info:Linear Algebra: Total cpu/real time for bwc: 112198/28734.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 71859.92, WCT time 18338.62, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (79360 iterations)
Info:Linear Algebra: Lingen CPU time 535.5, WCT time 135.8
Info:Linear Algebra: Mksol: CPU time 38895.26,  WCT time 9945.81, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (39936 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 88.01/37.9757
Info:Square Root: Total cpu/real time for sqrt: 693.41/220.414
Info:Filtering - Singleton removal: Total cpu/real time for purge: 419.3/493.019
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.68649e+06/282445
Info:root: Cleaning up computation data in /tmp/cado.6g7ehm3_
55182693919481418369516590066375030469076289826787671138997229592692677796746323100438009738206568764859 60727312457637843741118459842542712601479941984971080121920014821030753
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
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 JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 7, 2021 08:36:18 UTC 2021 年 12 月 7 日 (火) 17 時 36 分 18 秒 (日本時間)

53×10195-89

c171

name 名前Eric Jeancolas
date 日付December 16, 2021 01:41:59 UTC 2021 年 12 月 16 日 (木) 10 時 41 分 59 秒 (日本時間)
composite number 合成数
192064984538999560705166561643805097259560194055706801177756319009566195784656689061818754549910519874565262105395000582289019439589546864767589814271084032667121528099681<171>
prime factors 素因数
8087122640384058302018063654126985338797045153<46>
23749483355167515359205021319717188733276921670549768539970904836744608534635500553899319523910328586971255201993035366909377<125>
factorization results 素因数分解の結果
192064984538999560705166561643805097259560194055706801177756319009566195784656689061818754549910519874565262105395000582289019439589546864767589814271084032667121528099681=8087122640384058302018063654126985338797045153*23749483355167515359205021319717188733276921670549768539970904836744608534635500553899319523910328586971255201993035366909377

cado polynomial
n: 192064984538999560705166561643805097259560194055706801177756319009566195784656689061818754549910519874565262105395000582289019439589546864767589814271084032667121528099681
skew: 0.69
type: snfs
c0: -8
c5: 53
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 53*x^5-8
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13300000
tasks.lim1 = 13300000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 8087122640384058302018063654126985338797045153 23749483355167515359205021319717188733276921670549768539970904836744608534635500553899319523910328586971255201993035366909377
Info:Square Root: Total cpu/real time for sqrt: 2633.71/793.305
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 27555578
Info:Lattice Sieving: Average J: 1893.67 for 2439426 special-q, max bucket fill -bkmult 1.0,1s:1.151240
Info:Lattice Sieving: Total time: 557161s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.6/2.54778
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 116.36/135.49
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 134.8s
Info:Generate Free Relations: Total cpu/real time for freerel: 118.82/32.5759
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 511.52/519.947
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 418.2000000000001s
Info:Filtering - Merging: Merged matrix has 2297621 rows and total weight 393363279 (171.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 638.61/176.303
Info:Filtering - Merging: Total cpu/real time for replay: 88.99/77.079
Info:Linear Algebra: Total cpu/real time for bwc: 90326.1/23125.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 57824.3, WCT time 14766.84, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (72192 iterations)
Info:Linear Algebra: Lingen CPU time 506.5, WCT time 128.33
Info:Linear Algebra: Mksol: CPU time 31192.52,  WCT time 7963.67, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (36352 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 79.4/34.7642
Info:Square Root: Total cpu/real time for sqrt: 2633.71/793.305
Info:Filtering - Singleton removal: Total cpu/real time for purge: 413.33/481.378
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.13801e+06/303865
Info:root: Cleaning up computation data in /tmp/cado.g3ccfk3a
8087122640384058302018063654126985338797045153 23749483355167515359205021319717188733276921670549768539970904836744608534635500553899319523910328586971255201993035366909377
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
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 JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 2, 2021 21:00:32 UTC 2021 年 12 月 3 日 (金) 6 時 0 分 32 秒 (日本時間)
4511e64480Ignacio SantosDecember 2, 2021 22:20:53 UTC 2021 年 12 月 3 日 (金) 7 時 20 分 53 秒 (日本時間)

53×10197-89

c131

name 名前Eric Jeancolas
date 日付November 23, 2021 08:22:57 UTC 2021 年 11 月 23 日 (火) 17 時 22 分 57 秒 (日本時間)
composite number 合成数
12969275508549105655863403570861193799568305747580388289537789398179229254085428900552204607960029439873346160774455169142075093897<131>
prime factors 素因数
2933386157344857856381039628078201971100615125351565849<55>
4421264304420182727870918743824869202565149911504400263238616116370185831153<76>
factorization results 素因数分解の結果
12969275508549105655863403570861193799568305747580388289537789398179229254085428900552204607960029439873346160774455169142075093897=2933386157344857856381039628078201971100615125351565849*4421264304420182727870918743824869202565149911504400263238616116370185831153

cado polynomial
n: 12969275508549105655863403570861193799568305747580388289537789398179229254085428900552204607960029439873346160774455169142075093897
skew: 29053.435
c0: 155938685324620598495152704360
c1: -4828406405512797101022706
c2: 940361568935349800829
c3: -20165425737843431
c4: -1048709051586
c5: -9341640
Y0: -8975777085063156278816481
Y1: 70271052806829821
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 4.394e-07
# f(x) = -9341640*x^5-1048709051586*x^4-20165425737843431*x^3+940361568935349800829*x^2-4828406405512797101022706*x+155938685324620598495152704360
# g(x) = 70271052806829821*x-8975777085063156278816481

cado parameters (extracts)
tasks.lim0 = 13124945
tasks.lim1 = 44217255
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.I = 14
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 4421264304420182727870918743824869202565149911504400263238616116370185831153 2933386157344857856381039628078201971100615125351565849
Info:Square Root: Total cpu/real time for sqrt: 1570.46/416.736
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5583.73
Info:Polynomial Selection (root optimized): Rootsieve time: 5581.24
Info:Generate Factor Base: Total cpu/real time for makefb: 40.72/10.7697
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 103.51/123.61
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 123.4s
Info:Filtering - Merging: Merged matrix has 1791690 rows and total weight 306990750 (171.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 452.77/127.737
Info:Filtering - Merging: Total cpu/real time for replay: 72.27/61.2663
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 347.18/315.702
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 277.8s
Info:Quadratic Characters: Total cpu/real time for characters: 69.53/29.7224
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38911/38.880/46.461/51.120/0.839
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30999/37.670/41.723/47.280/1.010
Info:Polynomial Selection (size optimized): Total time: 4818.03
Info:Linear Algebra: Total cpu/real time for bwc: 52100.4/13409.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 33314.91, WCT time 8539.8, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (56064 iterations)
Info:Linear Algebra: Lingen CPU time 349.72, WCT time 88.9
Info:Linear Algebra: Mksol: CPU time 18103.1,  WCT time 4652.62, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (28160 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 251.44/64.3098
Info:Square Root: Total cpu/real time for sqrt: 1570.46/416.736
Info:Filtering - Singleton removal: Total cpu/real time for purge: 209.09/234.585
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23915147
Info:Lattice Sieving: Average J: 7638.49 for 66956 special-q, max bucket fill -bkmult 1.0,1s:1.070050
Info:Lattice Sieving: Total time: 92965.4s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 240257/64412.9
Info:root: Cleaning up computation data in /tmp/cado.o0s6ppiu
4421264304420182727870918743824869202565149911504400263238616116370185831153 2933386157344857856381039628078201971100615125351565849
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-89-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
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 JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosNovember 22, 2021 19:50:52 UTC 2021 年 11 月 23 日 (火) 4 時 50 分 52 秒 (日本時間)

53×10199-89

c172

name 名前Eric Jeancolas
date 日付December 13, 2021 10:12:00 UTC 2021 年 12 月 13 日 (月) 19 時 12 分 0 秒 (日本時間)
composite number 合成数
1884406691189377893656144554417054971466319560451007056157155240243135960977335665338842621575426989883625033609029340448451145920277277060080804957457542729304737773441161<172>
prime factors 素因数
312972442679038932702453793835148642356393975914333077142295846825867038133057<78>
6020998766085882148468509231011963678063940191927988480534156196693862263713579135451297504073<94>
factorization results 素因数分解の結果
1884406691189377893656144554417054971466319560451007056157155240243135960977335665338842621575426989883625033609029340448451145920277277060080804957457542729304737773441161=312972442679038932702453793835148642356393975914333077142295846825867038133057*6020998766085882148468509231011963678063940191927988480534156196693862263713579135451297504073

cado polynomial
n: 1884406691189377893656144554417054971466319560451007056157155240243135960977335665338842621575426989883625033609029340448451145920277277060080804957457542729304737773441161
skew: 0.54
type: snfs
c0: -5
c5: 106
Y0: 5000000000000000000000000000000000000000
Y1: -1
# f(x) = 106*x^5-5
# g(x) = -x+5000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 15400000
tasks.lim1 = 15400000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 6020998766085882148468509231011963678063940191927988480534156196693862263713579135451297504073 312972442679038932702453793835148642356393975914333077142295846825867038133057
Info:Square Root: Total cpu/real time for sqrt: 3540.01/1070.31
Info:Filtering - Singleton removal: Total cpu/real time for purge: 634.75/750.382
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 48405484
Info:Lattice Sieving: Average J: 1894.64 for 4477560 special-q, max bucket fill -bkmult 1.0,1s:1.143720
Info:Lattice Sieving: Total time: 1.16136e+06s
Info:Generate Factor Base: Total cpu/real time for makefb: 6.5/2.86681
Info:Linear Algebra: Total cpu/real time for bwc: 223540/57197.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 143897.11, WCT time 36686.37, iteration CPU time 0.32, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (109056 iterations)
Info:Linear Algebra: Lingen CPU time 756.84, WCT time 192.02
Info:Linear Algebra: Mksol: CPU time 77498.4,  WCT time 19796.53, iteration CPU time 0.34, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (54784 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 235.87/61.4759
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 203.69/238.801
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 238.20000000000002s
Info:Filtering - Merging: Merged matrix has 3477349 rows and total weight 594250522 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1002.95/276.922
Info:Filtering - Merging: Total cpu/real time for replay: 139.63/127.603
Info:Quadratic Characters: Total cpu/real time for characters: 126.01/53.2032
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 886.79/885.785
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 721.6s
Info:Square Root: Total cpu/real time for sqrt: 3540.01/1070.31
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.41597e+06/641428
Info:root: Cleaning up computation data in /tmp/cado.f06nvp4p
6020998766085882148468509231011963678063940191927988480534156196693862263713579135451297504073 312972442679038932702453793835148642356393975914333077142295846825867038133057
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
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 JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 3, 2021 08:07:18 UTC 2021 年 12 月 3 日 (金) 17 時 7 分 18 秒 (日本時間)
4511e64480Ignacio SantosDecember 3, 2021 08:08:35 UTC 2021 年 12 月 3 日 (金) 17 時 8 分 35 秒 (日本時間)

53×10200-89

c199

name 名前Eric Jeancolas
date 日付December 7, 2021 06:37:51 UTC 2021 年 12 月 7 日 (火) 15 時 37 分 51 秒 (日本時間)
composite number 合成数
3505291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291<199>
prime factors 素因数
196451452506638075707269339991745411748803126820979354767943967821250618086198316221647511642513<96>
17843039389961048237538180722930225026690241137854119442493521225642777978212107900035452363215768942907<104>
factorization results 素因数分解の結果
3505291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291=196451452506638075707269339991745411748803126820979354767943967821250618086198316221647511642513*17843039389961048237538180722930225026690241137854119442493521225642777978212107900035452363215768942907

cado polynomial
n: 3505291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291
skew: 0.69
type: snfs
c0: -8
c5: 53
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 53*x^5-8
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 16100000
tasks.lim1 = 16100000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 196451452506638075707269339991745411748803126820979354767943967821250618086198316221647511642513 17843039389961048237538180722930225026690241137854119442493521225642777978212107900035452363215768942907
Info:Square Root: Total cpu/real time for sqrt: 903.13/285.773
Info:Filtering - Singleton removal: Total cpu/real time for purge: 398.25/471.379
Info:Generate Free Relations: Total cpu/real time for freerel: 236.91/61.57
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 44745155
Info:Lattice Sieving: Average J: 1893.77 for 3031468 special-q, max bucket fill -bkmult 1.0,1s:1.132690
Info:Lattice Sieving: Total time: 833426s
Info:Generate Factor Base: Total cpu/real time for makefb: 6.8/3.04502
Info:Linear Algebra: Total cpu/real time for bwc: 179964/46147.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 115315.44, WCT time 29468.82, iteration CPU time 0.28, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (98304 iterations)
Info:Linear Algebra: Lingen CPU time 708.59, WCT time 180.18
Info:Linear Algebra: Mksol: CPU time 62731.73,  WCT time 16054.16, iteration CPU time 0.31, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (49152 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 189.75/224.103
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 223.70000000000002s
Info:Filtering - Merging: Merged matrix has 3138250 rows and total weight 536951014 (171.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 922.44/254.505
Info:Filtering - Merging: Total cpu/real time for replay: 130.09/113.016
Info:Quadratic Characters: Total cpu/real time for characters: 116.74/49.2089
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 663.88/630.86
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 534.9s
Info:Square Root: Total cpu/real time for sqrt: 903.13/285.773
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.75201e+06/465170
Info:root: Cleaning up computation data in /tmp/cado.ktyi9qd7
196451452506638075707269339991745411748803126820979354767943967821250618086198316221647511642513 17843039389961048237538180722930225026690241137854119442493521225642777978212107900035452363215768942907
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
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 JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

53×10201-89

c183

name 名前Ignacio Santos
date 日付December 2, 2021 19:02:10 UTC 2021 年 12 月 3 日 (金) 4 時 2 分 10 秒 (日本時間)
composite number 合成数
102478338224942258334908889875448031175094014768038172656500293195134590567615402596554423356102083799272468857656980061393169875011167704458951778398015941160657359299705018190665719<183>
prime factors 素因数
4070958364039525178939624756748495648676608527<46>
25173025381486630699977828375969128595510008358316385952420627123513514552667333179485933965335359423130242610476597268151460501606271897<137>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1913164145
Step 1 took 30828ms
Step 2 took 13187ms
********** Factor found in step 2: 4070958364039525178939624756748495648676608527
Found prime factor of 46 digits: 4070958364039525178939624756748495648676608527
Prime cofactor 25173025381486630699977828375969128595510008358316385952420627123513514552667333179485933965335359423130242610476597268151460501606271897 has 137 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 JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 2, 2021 13:44:37 UTC 2021 年 12 月 2 日 (木) 22 時 44 分 37 秒 (日本時間)

53×10203-89

c163

composite cofactor 合成数の残り
1476760981493125381740186445308979155826128951402376617846270059272756974131373077372259033451475789154919736911391484864834804474792063026436381913128607422307949<163>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovDecember 7, 2021 05:33:02 UTC 2021 年 12 月 7 日 (火) 14 時 33 分 2 秒 (日本時間)
2350Ignacio SantosDecember 9, 2021 22:03:51 UTC 2021 年 12 月 10 日 (金) 7 時 3 分 51 秒 (日本時間)
4511e64480Ignacio SantosDecember 9, 2021 23:00:34 UTC 2021 年 12 月 10 日 (金) 8 時 0 分 34 秒 (日本時間)

53×10206-89

c198

composite cofactor 合成数の残り
172803508615376366642990081965706960869603783618818592971947026505118344850653273935156850952526313388222212039726570407788107491585513124458692520195799714387909106949738136471359913086361270292943<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 7, 2021 06:32:33 UTC 2021 年 12 月 7 日 (火) 15 時 32 分 33 秒 (日本時間)

53×10207-89

c162

composite cofactor 合成数の残り
154035768507839070403213138622334699086428317457446219654340092459877109654542662380050855140410521234457993721638025198346859177354616935603077991945966282429923<162>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 7, 2021 05:32:45 UTC 2021 年 12 月 7 日 (火) 14 時 32 分 45 秒 (日本時間)

53×10209-89

c209

name 名前Ignacio Santos
date 日付April 16, 2022 21:33:40 UTC 2022 年 4 月 17 日 (日) 6 時 33 分 40 秒 (日本時間)
composite number 合成数
24537037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037<209>
prime factors 素因数
5482410675479541568194498923975596987855715797501<49>
4475592670717029841826212135007082922678061032517337976935724232928059813766687941256784695431860672757080566352109104967392048559013717968811037572137651279537<160>
factorization results 素因数分解の結果
N=24537037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037
  ( 209 digits)
SNFS difficulty: 210 digits.
Divisors found:
 r1=5482410675479541568194498923975596987855715797501 (pp49)
 r2=4475592670717029841826212135007082922678061032517337976935724232928059813766687941256784695431860672757080566352109104967392048559013717968811037572137651279537 (pp160)
Version: Msieve v. 1.52 (SVN 927)
Total time: 915.86 hours.
Scaled time: 7149.19 units (timescale=7.806).
Factorization parameters were as follows:
n: 24537037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037
m: 500000000000000000000000000000000000000000
deg: 5
c5: 106
c0: -5
skew: 0.54
# Murphy_E = 4.971e-12
type: snfs
lss: 1
rlim: 23000000
alim: 23000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6Factor base limits: 23000000/23000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved rational special-q in [11500000, 30000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 4671855 x 4672082
Total sieving time: 910.24 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 5.26 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,210.000,5,0,0,0,0,0,0,0,0,23000000,23000000,29,29,57,57,2.6,2.6,100000
total time: 915.86 hours.
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 JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovDecember 7, 2021 05:06:33 UTC 2021 年 12 月 7 日 (火) 14 時 6 分 33 秒 (日本時間)
2350Ignacio SantosApril 13, 2022 20:09:21 UTC 2022 年 4 月 14 日 (木) 5 時 9 分 21 秒 (日本時間)
4511e64480Ignacio SantosApril 13, 2022 21:36:48 UTC 2022 年 4 月 14 日 (木) 6 時 36 分 48 秒 (日本時間)

53×10213-89

c177

composite cofactor 合成数の残り
360801882415951626114079116642886901549417108202116501955760569384393715690300647787033913990774344821873963506247953380200190479887673458749004739221314488456088645313978182163<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 7, 2021 05:32:19 UTC 2021 年 12 月 7 日 (火) 14 時 32 分 19 秒 (日本時間)

53×10214-89

c156

composite cofactor 合成数の残り
232652618637260847044051654345490610554147773442023868435615567225974674506954267631356368989621257802031118084320539394490839207233735848251365282008006107<156>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 7, 2021 05:32:31 UTC 2021 年 12 月 7 日 (火) 14 時 32 分 31 秒 (日本時間)

53×10215-89

c201

name 名前Bob Backstrom
date 日付December 26, 2021 05:07:18 UTC 2021 年 12 月 26 日 (日) 14 時 7 分 18 秒 (日本時間)
composite number 合成数
978727318003480496235823203846208940746823587116429745693910741459745630713252395666806661086848365730127603797636505977298418022840458503338112396216473085038947403796304772764311582413483187860448491<201>
prime factors 素因数
133720851382922005030942500248428197977986751<45>
14515108009013190527032792672499682600588182321302367677553550091651478526617<77>
504245818596092473889981746673321119787511581268155223937359331105453052912886173<81>
factorization results 素因数分解の結果
Number: n
N=7319182520015554271966461863861631114665314382643167447074244825824231192683762837683577855242245647435757628002208939391260223061863289902743367039071766741  ( 157 digits)
SNFS difficulty: 216 digits.
Divisors found:

Sun Dec 26 16:00:05 2021  p77 factor: 14515108009013190527032792672499682600588182321302367677553550091651478526617
Sun Dec 26 16:00:05 2021  p81 factor: 504245818596092473889981746673321119787511581268155223937359331105453052912886173
Sun Dec 26 16:00:05 2021  elapsed time 04:14:32 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.317).
Factorization parameters were as follows:
#
# N = 53x10^215-8 = 58(215)
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 97872731800348049623582320384620894074682358711642974569391074145974563071325239566680666108684836573012760379763650597729841802284045850333811239621647308503894740379630477276431158241
3483187860448491 (201 digits)
# Using B1=38130000, B2=192391699516, polynomial Dickson(12), sigma=1:2264732543
# Step 1 took 124365ms
# Step 2 took 37965ms
# ********** Factor found in step 2: 133720851382922005030942500248428197977986751
# Found prime factor of 45 digits: 133720851382922005030942500248428197977986751
# Composite cofactor 7319182520015554271966461863861631114665314382643167447074244825824231192683762837683577855242245647435757628002208939391260223061863289902743367039071766741 has 157 digits
#
n: 7319182520015554271966461863861631114665314382643167447074244825824231192683762837683577855242245647435757628002208939391260223061863289902743367039071766741
m: 10000000000000000000000000000000000000000000
deg: 5
c5: 53
c0: -8
skew: 0.69
# Murphy_E = 3.708e-12
type: snfs
lss: 1
rlim: 29000000
alim: 29000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 29000000/29000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 63300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10487685 hash collisions in 67092047 relations (59050433 unique)
Msieve: matrix is 3197839 x 3198064 (1120.8 MB)

Sieving start time : 2021/12/25 10:56:33
Sieving end time  : 2021/12/26 11:43:01

Total sieving time: 24hrs 46min 28secs.

Total relation processing time: 3hrs 52min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 22sec.

Prototype def-par.txt line would be:
snfs,216,5,0,0,0,0,0,0,0,0,29000000,29000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118230] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5020K rodata, 2736K init, 4964K bss, 487280K reserved, 0K cma-reserved)
[    0.153572] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.15 BogoMIPS (lpj=12798304)
[    0.152049] smpboot: Total of 16 processors activated (102386.43 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 6, 2021 18:58:10 UTC 2021 年 12 月 7 日 (火) 3 時 58 分 10 秒 (日本時間)

53×10218-89

c105

name 名前Eric Jeancolas
date 日付November 20, 2021 15:37:47 UTC 2021 年 11 月 21 日 (日) 0 時 37 分 47 秒 (日本時間)
composite number 合成数
862930733550635358544707385149111860146357258416974406266040684300650549030188779609723920811790407892589<105>
prime factors 素因数
137250720190296925244881313389691018001974930969<48>
6287258328074267519266208786418567288704233726069018948981<58>
factorization results 素因数分解の結果
862930733550635358544707385149111860146357258416974406266040684300650549030188779609723920811790407892589=137250720190296925244881313389691018001974930969*6287258328074267519266208786418567288704233726069018948981

cado polynomial
n: 862930733550635358544707385149111860146357258416974406266040684300650549030188779609723920811790407892589
skew: 14651.623
c0: 1729835770004776100240086
c1: -234997368363461472716
c2: -122185143383530977
c3: 645647234261
c4: 34853786
c5: 4920
Y0: -203651099435249557620
Y1: 40069443012823
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 3.132e-06
# f(x) = 4920*x^5+34853786*x^4+645647234261*x^3-122185143383530977*x^2-234997368363461472716*x+1729835770004776100240086
# g(x) = 40069443012823*x-203651099435249557620

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

cado log (extracts)
Info:Square Root: Factors: 6287258328074267519266208786418567288704233726069018948981 137250720190296925244881313389691018001974930969
Info:Square Root: Total cpu/real time for sqrt: 107.83/29.465
Info:Generate Factor Base: Total cpu/real time for makefb: 1.51/0.433188
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 18.19/18.647
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 18.4s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 140.52
Info:Polynomial Selection (root optimized): Rootsieve time: 139.93
Info:Filtering - Singleton removal: Total cpu/real time for purge: 23.4/26.8026
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 46.71/45.4826
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 34.7s
Info:Filtering - Merging: Merged matrix has 216312 rows and total weight 31660762 (146.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 28.44/8.64007
Info:Filtering - Merging: Total cpu/real time for replay: 6.78/5.46395
Info:Generate Free Relations: Total cpu/real time for freerel: 62.68/16.3815
Info:Quadratic Characters: Total cpu/real time for characters: 7.97/3.0695
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 9952.64
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 9836/30.400/37.096/42.310/1.048
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 7460/29.550/32.916/37.620/0.895
Info:Polynomial Selection (size optimized): Total time: 495.21
Info:Square Root: Total cpu/real time for sqrt: 107.83/29.465
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4819855
Info:Lattice Sieving: Average J: 1890.05 for 48214 special-q, max bucket fill -bkmult 1.0,1s:1.308560
Info:Lattice Sieving: Total time: 4547.85s
Info:Linear Algebra: Total cpu/real time for bwc: 526.78/137.82
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 307.99, WCT time 79.42, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6784 iterations)
Info:Linear Algebra: Lingen CPU time 28.81, WCT time 7.35
Info:Linear Algebra: Mksol: CPU time 174.34,  WCT time 44.96, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3456 iterations)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 9679.96/2789.95
Info:root: Cleaning up computation data in /tmp/cado.gntym83m
6287258328074267519266208786418567288704233726069018948981 137250720190296925244881313389691018001974930969
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
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 JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

53×10219-89

c163

name 名前Erik Branger
date 日付November 26, 2022 17:06:53 UTC 2022 年 11 月 27 日 (日) 2 時 6 分 53 秒 (日本時間)
composite number 合成数
2237605291151167893947623028603551126898327754281148597595571622175377233895384021729317191576664371253016051883161224625931605634871774092336630924714609060472857<163>
prime factors 素因数
8163868968067100428227014783967170380268255215561<49>
1062552648389431707245510061199246915730487057508800577<55>
257950869804544982022730993091007626363221275457733671547281<60>
factorization results 素因数分解の結果
Number: 58888_219
N = 2237605291151167893947623028603551126898327754281148597595571622175377233895384021729317191576664371253016051883161224625931605634871774092336630924714609060472857 (163 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=8163868968067100428227014783967170380268255215561 (pp49)
r2=1062552648389431707245510061199246915730487057508800577 (pp55)
r3=257950869804544982022730993091007626363221275457733671547281 (pp60)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 26.02 hours.
Factorization parameters were as follows:
n: 2237605291151167893947623028603551126898327754281148597595571622175377233895384021729317191576664371253016051883161224625931605634871774092336630924714609060472857
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 53
c0: -80
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 31438510
Relations: 7508232 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 8.99 hours.
Total relation processing time: 0.26 hours.
Pruned matrix : 6543025 x 6543251
Matrix solve time: 16.53 hours.
time per square root: 0.24 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 26.02 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 6, 2021 17:19:58 UTC 2021 年 12 月 7 日 (火) 2 時 19 分 58 秒 (日本時間)

53×10220-89

c170

name 名前Erik Branger
date 日付November 26, 2022 17:07:11 UTC 2022 年 11 月 27 日 (日) 2 時 7 分 11 秒 (日本時間)
composite number 合成数
48610616524344753770910636744098746301378270629238879618698190821175738363965249361636045833995946973905060313322990180554976203248735071660766892896347129919271169760301<170>
prime factors 素因数
38004039630587762423848271118393550620774449886986755911975304969823<68>
1279090775529563152293855658072569354011928558732964517566959245625420163628547780739978373696256415987<103>
factorization results 素因数分解の結果
Number: 58888_220
N = 48610616524344753770910636744098746301378270629238879618698190821175738363965249361636045833995946973905060313322990180554976203248735071660766892896347129919271169760301 (170 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=38004039630587762423848271118393550620774449886986755911975304969823 (pp68)
r2=1279090775529563152293855658072569354011928558732964517566959245625420163628547780739978373696256415987 (pp103)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 22.34 hours.
Factorization parameters were as follows:
n: 48610616524344753770910636744098746301378270629238879618698190821175738363965249361636045833995946973905060313322990180554976203248735071660766892896347129919271169760301
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 53
c0: -8
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 32150655
Relations: 6696194 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 7.89 hours.
Total relation processing time: 0.26 hours.
Pruned matrix : 6112001 x 6112226
Matrix solve time: 14.08 hours.
time per square root: 0.10 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 22.34 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 6, 2021 20:07:16 UTC 2021 年 12 月 7 日 (火) 5 時 7 分 16 秒 (日本時間)

53×10221-89

c166

composite cofactor 合成数の残り
2839324686640358700496435579144183509973901179501195360965057785992131114244108601731101664058439782551176334063323703268856882400442059914653650457232874563185500067<166>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 6, 2021 20:07:21 UTC 2021 年 12 月 7 日 (火) 5 時 7 分 21 秒 (日本時間)

53×10224-89

c159

name 名前Bob Backstrom
date 日付November 30, 2021 07:00:56 UTC 2021 年 11 月 30 日 (火) 16 時 0 分 56 秒 (日本時間)
composite number 合成数
996457305510387959532315675296716816846672796099829033559210902002704597940097973849010652925363209973659188670795549739981084382963301439322814541373399955323<159>
prime factors 素因数
2474136673488120170594762054757581596457981591<46>
988943438086465842361348594191673395435157772733967547<54>
407252309293528862786264307145885016339890179280583064493799<60>
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 996457305510387959532315675296716816846672796099829033559210902002704597940097973849010652925363209973659188670795549739981084382963301439322814541373399955323 (159 digits)
Using B1=40230000, B2=192393771586, polynomial Dickson(12), sigma=1:1553204343
Step 1 took 96675ms
Step 2 took 30261ms
********** Factor found in step 2: 2474136673488120170594762054757581596457981591
Found prime factor of 46 digits: 2474136673488120170594762054757581596457981591
Composite cofactor 402749498921395198692747930802185525751108001626407580052181935915963482246841605647099613119618657232084448741053 has 114 digits

CADO

STA:Tue 30 Nov 2021 16:38:51 AEDT (402,749,498,921,395,198,692,747,930,802,185,525,751,108,001,626,407,580,052,181,935,915,963,482,246,841,605,647,099,613,119,618,657,232,084,448,741,053 - C114)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 402749498921395198692747930802185525751108001626407580052181935915963482246841605647099613119618657232084448741053 2>&1 | tee -a log109

Debug:root: Looking for parameter file for c114 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c115
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c115
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.rzneotr0
Info:Database: Opened connection to database /tmp/cado.rzneotr0/c115.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 4027494989213951986927479308021855257511080016264075800521819359159634822468416056470
99613119618657232084448741053
Debug:root: Root parameter dictionary:
N = 402749498921395198692747930802185525751108001626407580052181935915963482246841605647099613119618657232084448741053
lim0 = 5484593
lim1 = 2800829
lpb0 = 26
lpb1 = 26
name = c115
...
n: 402749498921395198692747930802185525751108001626407580052181935915963482246841605647099613119618657232084448741053
skew: 16088134.276
c0: 13578671534296676478130739585781
c1: -4605392736312130755439866
c2: -5082291231059498133
c3: 37133389882
c4: 4200
Y0: -3129069685081992802893538468
Y1: 102155328770425489
# MurphyE (Bf=2.80e+06,Bg=5.48e+06,area=9.40e+13) = 2.57e-09
# f(x) = 4200*x^4+37133389882*x^3-5082291231059498133*x^2-4605392736312130755439866*x+13578671534296676478130739585781
# g(x) = 102155328770425489*x-3129069685081992802893538468
...
Info:Square Root: finished
Info:Square Root: Factors: 407252309293528862786264307145885016339890179280583064493799 988943438086465842361348594191673395435157772733967547
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 250.33/36.6244

Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 55681.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 56215/38.680/43.392/47.500/0.645
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 56215/37.810/42.571/44.790/1.015
Info:Polynomial Selection (size optimized): Total time: 1113.47
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 149.63
Info:Polynomial Selection (root optimized): Rootsieve time: 148.93
Info:Generate Factor Base: Total cpu/real time for makefb: 2.69/0.28128
Info:Generate Free Relations: Total cpu/real time for freerel: 53.18/3.50808
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6784849
Info:Lattice Sieving: Average J: 3557.82 for 74732 special-q, max bucket fill: 0.73043
Info:Lattice Sieving: Total CPU time: 57081.9s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 16.86/19.3411
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 19.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 89.08/27.7037
Info:Filtering - Singleton removal: Total cpu/real time for purge: 76.36/28.6725
Info:Filtering - Merging: Total cpu/real time for merge: 118.28/94.3511
Info:Filtering - Merging: Total cpu/real time for replay: 12.62/9.6091
Info:Linear Algebra: Total cpu/real time for bwc: 3501.95/0.000339508
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 142.66
Info:Linear Algebra: Lingen CPU time 81.04, WCT time 8.24
Info:Linear Algebra: Mksol: WCT time 79.32
Info:Quadratic Characters: Total cpu/real time for characters: 14.22/3.27992
Info:Square Root: Total cpu/real time for sqrt: 250.33/36.6244
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 62480.6/4332.08
Info:root: Cleaning up computation data in /tmp/cado.rzneotr0
407252309293528862786264307145885016339890179280583064493799 988943438086465842361348594191673395435157772733967547

END:Tue 30 Nov 2021 17:51:04 AEDT (402,749,498,921,395,198,692,747,930,802,185,525,751,108,001,626,407,580,052,181,935,915,963,482,246,841,605,647,099,613,119,618,657,232,084,448,741,053 - C114)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

53×10225-89

c224

name 名前Dmitry Domanov
date 日付December 6, 2021 17:19:38 UTC 2021 年 12 月 7 日 (火) 2 時 19 分 38 秒 (日本時間)
composite number 合成数
25383141762452107279693486590038314176245210727969348659003831417624521072796934865900383141762452107279693486590038314176245210727969348659003831417624521072796934865900383141762452107279693486590038314176245210727969348659<224>
prime factors 素因数
7879406236576632648666604760290934353<37>
3221453622307500981715557292533332828711663568587999763811483088127491770760165527842548436039275779314117707581000891564689470545221257590532911246662248422682192065070308566740564475203<187>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1417912544
Step 1 took 9955ms
Step 2 took 4473ms
********** Factor found in step 2: 7879406236576632648666604760290934353
Found prime factor of 37 digits: 7879406236576632648666604760290934353
Prime cofactor 3221453622307500981715557292533332828711663568587999763811483088127491770760165527842548436039275779314117707581000891564689470545221257590532911246662248422682192065070308566740564475203 has 187 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 6, 2021 15:01:29 UTC 2021 年 12 月 7 日 (火) 0 時 1 分 29 秒 (日本時間)

53×10229-89

c218

name 名前Bob Backstrom
date 日付January 12, 2022 04:20:13 UTC 2022 年 1 月 12 日 (水) 13 時 20 分 13 秒 (日本時間)
composite number 合成数
12422452868362069843914638279228916238824675991976609334711214909456083367674843192997841480895699254530861330878158918891665326607750043021100179835791305216939079447126603346700798678714025144616760823436215949763303<218>
prime factors 素因数
266661063259518878668375675552538060179428749<45>
46585177140287395126372858029954388546958534384299168919039355959688207234767310954922129460727607465107385124769403537315385009379376016768385321523920997062718583676762947<173>
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 12422452868362069843914638279228916238824675991976609334711214909456083367674843192997841480895699254530861330878158918891665326607750043021100179835791305216939079447126603346700798678714025144616760823436215949763303 (218 digits)
Using B1=38960000, B2=192392390206, polynomial Dickson(12), sigma=1:3192411833
Step 1 took 157328ms
Step 2 took 43028ms
********** Factor found in step 2: 266661063259518878668375675552538060179428749
Found prime factor of 45 digits: 266661063259518878668375675552538060179428749
Prime cofactor 46585177140287395126372858029954388546958534384299168919039355959688207234767310954922129460727607465107385124769403537315385009379376016768385321523920997062718583676762947 has 173 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 6, 2021 16:47:35 UTC 2021 年 12 月 7 日 (火) 1 時 47 分 35 秒 (日本時間)

53×10230-89

c196

composite cofactor 合成数の残り
2908328924508860798718002925180707787322481906374876948527056132448718354607784428903198808913751282884870075533148938671491633518114682777225280361344673255296075533205870605980570999911222369741<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 6, 2021 16:47:59 UTC 2021 年 12 月 7 日 (火) 1 時 47 分 59 秒 (日本時間)

53×10231-89

c228

composite cofactor 合成数の残り
156519479292177569872658114206062324284735511611973444846079334703617076570510548822264748269426134618564982162685756136744867342358305573274741890519054031705530748694686606657688945590285160772084012568809506934108252415715737<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 6, 2021 15:00:54 UTC 2021 年 12 月 7 日 (火) 0 時 0 分 54 秒 (日本時間)

53×10233-89

c175

name 名前Bob Backstrom
date 日付December 5, 2021 07:09:37 UTC 2021 年 12 月 5 日 (日) 16 時 9 分 37 秒 (日本時間)
composite number 合成数
4659899587313236614023726440969262326792521977663126365075076292886434503856847891562995474143629650169811231955835544137893852679226858184443884390096385942908100596709253981<175>
prime factors 素因数
21637575182797841901707077772965881953<38>
215361450991880011687437577206178437889218012308881948710978993076790992936878378378156839125345558192344630043447458720213127604526001277<138>
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 4659899587313236614023726440969262326792521977663126365075076292886434503856847891562995474143629650169811231955835544137893852679226858184443884390096385942908100596709253981 (175 digits)
Using B1=35660000, B2=192388936756, polynomial Dickson(12), sigma=1:212916511
Step 1 took 98932ms
Step 2 took 33585ms
********** Factor found in step 2: 21637575182797841901707077772965881953
Found prime factor of 38 digits: 21637575182797841901707077772965881953
Prime cofactor 215361450991880011687437577206178437889218012308881948710978993076790992936878378378156839125345558192344630043447458720213127604526001277 has 138 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

53×10234-89

c205

name 名前Dmitry Domanov
date 日付December 6, 2021 13:51:10 UTC 2021 年 12 月 6 日 (月) 22 時 51 分 10 秒 (日本時間)
composite number 合成数
2391119081780372151669940330290961785324471643786349306311359465123106478708788131556147146635021486084638957286086967305718718613952843395980952990728710367541473791723372644228706648980716968475986069467<205>
prime factors 素因数
213165022365763523497663929988727<33>
composite cofactor 合成数の残り
11217220607973488343912957969752180335804612541828606226822319510996741460032545452279366278982786699735681974168895422002639973526073591944278842032905757852611766355410621<173>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:877779217
Step 1 took 8859ms
********** Factor found in step 1: 213165022365763523497663929988727
Found prime factor of 33 digits: 213165022365763523497663929988727
Composite cofactor 11217220607973488343912957969752180335804612541828606226822319510996741460032545452279366278982786699735681974168895422002639973526073591944278842032905757852611766355410621 has 173 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 6, 2021 12:41:09 UTC 2021 年 12 月 6 日 (月) 21 時 41 分 9 秒 (日本時間)

53×10237-89

c218

composite cofactor 合成数の残り
12126209002125333193142135237124305194375563281026271453902119920404778130691914250007860435207710057187949330799124235859605549565573599157956788222564291171114517181625947274118436323498359761610240097821472683097023<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 6, 2021 12:40:59 UTC 2021 年 12 月 6 日 (月) 21 時 40 分 59 秒 (日本時間)

53×10239-89

c235

composite cofactor 合成数の残り
1029972591069010495615037444362046637158923604795241448895480713471730556060825128532805987366705999959578434161819965455107964447678169711498847208035807288630190867524536667801579861354029175042481511020318055536122110441045923562819<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 6, 2021 10:33:39 UTC 2021 年 12 月 6 日 (月) 19 時 33 分 39 秒 (日本時間)

53×10240-89

c191

composite cofactor 合成数の残り
71368244012932325071509410018805945072522738970604461077555240978389097520088066181753408797094596841650658981951271295875654221566581257017723637510396682413414404497030268293264215605702359<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 6, 2021 11:22:43 UTC 2021 年 12 月 6 日 (月) 20 時 22 分 43 秒 (日本時間)

53×10242-89

c234

composite cofactor 合成数の残り
241460998488945089783678619517852770271812296108351073399998429792794430078134632386070027451615267891722122267027287738512855370620886611889440502804125209211877558872225197039947077609799684673658351565925764932488563606189987440613<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 6, 2021 10:33:23 UTC 2021 年 12 月 6 日 (月) 19 時 33 分 23 秒 (日本時間)

53×10243-89

c243

name 名前Dmitry Domanov
date 日付December 6, 2021 12:40:21 UTC 2021 年 12 月 6 日 (月) 21 時 40 分 21 秒 (日本時間)
composite number 合成数
736111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<243>
prime factors 素因数
61214958081842851488198015493470910721851<41>
composite cofactor 合成数の残り
12025020259377604471774651036986667593478251036916006892400900065735556573501745255632916717292671011111288160811056917080793406978246433523520950481109718694105236138950318391713085923706975349772908261<203>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3552139315
Step 1 took 11098ms
Step 2 took 4850ms
********** Factor found in step 2: 61214958081842851488198015493470910721851
Found prime factor of 41 digits: 61214958081842851488198015493470910721851
Composite cofactor 12025020259377604471774651036986667593478251036916006892400900065735556573501745255632916717292671011111288160811056917080793406978246433523520950481109718694105236138950318391713085923706975349772908261 has 203 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 6, 2021 10:29:26 UTC 2021 年 12 月 6 日 (月) 19 時 29 分 26 秒 (日本時間)

53×10245-89

c197

name 名前Bob Backstrom
date 日付December 15, 2021 16:19:03 UTC 2021 年 12 月 16 日 (木) 1 時 19 分 3 秒 (日本時間)
composite number 合成数
10862867615568550111657613959551934942399758067828373757452819928730277415932488485599276218864168276929173815581988931840182500046199158956181606925503079542750450965854280971438053401926019815609<197>
prime factors 素因数
6226102539970318676932033967536664418778393<43>
1744729956795786406237316501664588783514816667722570226748493130544145131418438663102059722284665769232995493003211874605918692325591672955409117430500513<154>
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 10862867615568550111657613959551934942399758067828373757452819928730277415932488485599276218864168276929173815581988931840182500046199158956181606925503079542750450965854280971438053401926019815609 (197 digits)
Using B1=35510000, B2=192388936756, polynomial Dickson(12), sigma=1:2922774889
Step 1 took 118622ms
Step 2 took 39341ms
********** Factor found in step 2: 6226102539970318676932033967536664418778393
Found prime factor of 43 digits: 6226102539970318676932033967536664418778393
Prime cofactor 1744729956795786406237316501664588783514816667722570226748493130544145131418438663102059722284665769232995493003211874605918692325591672955409117430500513 has 154 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 6, 2021 10:29:51 UTC 2021 年 12 月 6 日 (月) 19 時 29 分 51 秒 (日本時間)

53×10246-89

c217

composite cofactor 合成数の残り
9790767918486133494099016749948171709092803335533255787528731106521357575878330329185554120291673509520640386358714987892188333115594485768986060704877521588633459164801689871879261553350913207046730493386666304309181<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 6, 2021 05:50:58 UTC 2021 年 12 月 6 日 (月) 14 時 50 分 58 秒 (日本時間)

53×10247-89

c243

composite cofactor 合成数の残り
214228663633512153636713457440444431509883621288993658831556448040252353281659762844827307444809845787698585929138008530342862871019793111699633628564684121856497514947501851259017814123893690844594485349993047673557553945202733072701932746751<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 6, 2021 05:39:57 UTC 2021 年 12 月 6 日 (月) 14 時 39 分 57 秒 (日本時間)

53×10250-89

c200

name 名前Bob Backstrom
date 日付January 6, 2022 11:26:10 UTC 2022 年 1 月 6 日 (木) 20 時 26 分 10 秒 (日本時間)
composite number 合成数
76932553726973303570996853716922929392923999626202940377544426409962057445822799992200729779377734380688373034079084863052826580425757365456704240443762507142953175745506322978867278176296345677875373<200>
prime factors 素因数
71514365037681394313472788079234139<35>
composite cofactor 合成数の残り
1075763641143105019823447711214102821635021845035881535268799942615028992635646799359529770685839752149297119134458108398966545985270273385454012396321965587599027607<166>
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 76932553726973303570996853716922929392923999626202940377544426409962057445822799992200729779377734380688373034079084863052826580425757365456704240443762507142953175745506322978867278176296345677875373 (200 digits)
Using B1=35610000, B2=192388936756, polynomial Dickson(12), sigma=1:787066062
Step 1 took 119402ms
Step 2 took 39555ms
********** Factor found in step 2: 71514365037681394313472788079234139
Found prime factor of 35 digits: 71514365037681394313472788079234139
Composite cofactor 1075763641143105019823447711214102821635021845035881535268799942615028992635646799359529770685839752149297119134458108398966545985270273385454012396321965587599027607 has 166 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovDecember 6, 2021 05:50:49 UTC 2021 年 12 月 6 日 (月) 14 時 50 分 49 秒 (日本時間)
2350Ignacio SantosJanuary 7, 2022 09:27:04 UTC 2022 年 1 月 7 日 (金) 18 時 27 分 4 秒 (日本時間)
4511e64480Ignacio SantosJanuary 7, 2022 12:48:03 UTC 2022 年 1 月 7 日 (金) 21 時 48 分 3 秒 (日本時間)

53×10252-89

c197

name 名前Bob Backstrom
date 日付December 17, 2021 07:41:11 UTC 2021 年 12 月 17 日 (金) 16 時 41 分 11 秒 (日本時間)
composite number 合成数
29678249896286227136531281457028946280824499487876664836900760855458739316501187429196524823572160556098055873957615541769438576353386421894547172479996305317054298126819318473190016181316681219611<197>
prime factors 素因数
61175707633421162029744420178494093248749<41>
485131288944381179875757745294212286668305535981109042090205466246944462212751224580545855233396080456241539483880197212864024324114105856220967757803481639<156>
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 29678249896286227136531281457028946280824499487876664836900760855458739316501187429196524823572160556098055873957615541769438576353386421894547172479996305317054298126819318473190016181316681219611 (197 digits)
Using B1=42940000, B2=240490660426, polynomial Dickson(12), sigma=1:3184010824
Step 1 took 140486ms
Step 2 took 45215ms
********** Factor found in step 2: 61175707633421162029744420178494093248749
Found prime factor of 41 digits: 61175707633421162029744420178494093248749
Prime cofactor 485131288944381179875757745294212286668305535981109042090205466246944462212751224580545855233396080456241539483880197212864024324114105856220967757803481639 has 156 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 6, 2021 05:50:34 UTC 2021 年 12 月 6 日 (月) 14 時 50 分 34 秒 (日本時間)

53×10254-89

c221

composite cofactor 合成数の残り
26371005570970076253719722443143635117788231694784102154653155555258383910328987332807438776203063637080606117565371036757260417907204060511823967221164311810268253243278092174024834538304488204175260253425640580594594289<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 6, 2021 05:50:28 UTC 2021 年 12 月 6 日 (月) 14 時 50 分 28 秒 (日本時間)

53×10255-89

c248

composite cofactor 合成数の残り
62809599775618511726865141020066012747153760469518870975970260654719493891716648175994527439864501158526623121648106453634707160835722065368875280679510182204059866526803671990465227813926243061470916258951778221303618789549131076827593204302790357<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 6, 2021 05:35:27 UTC 2021 年 12 月 6 日 (月) 14 時 35 分 27 秒 (日本時間)

53×10257-89

c236

composite cofactor 合成数の残り
18131340648627954011317975292874413720062157934415902389876046051765706278291404665317514375329673298453855322938957259884283865868729243750565409530493313621398526892549497115958881842762519342994694703172775197982662360474032647885753<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 6, 2021 05:35:57 UTC 2021 年 12 月 6 日 (月) 14 時 35 分 57 秒 (日本時間)

53×10258-89

c223

composite cofactor 合成数の残り
3811715875337423840290512364445166726827650899377339397983670802747098323002337128301758455215495879651140746680685996721143937800768538241410324463565375728939191753689774187327816173723894946330293280079438145854784382159<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 5, 2021 19:59:26 UTC 2021 年 12 月 6 日 (月) 4 時 59 分 26 秒 (日本時間)

53×10259-89

c235

composite cofactor 合成数の残り
6075913355503841596046051251470415359206884607847238614306879271932343558382882993481813082551259951539937447829373309024600741270568555018181309972127431816060088000563446287197557152363951203309067362534445539248367082809427673013201<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 6, 2021 05:39:31 UTC 2021 年 12 月 6 日 (月) 14 時 39 分 31 秒 (日本時間)

53×10260-89

c225

composite cofactor 合成数の残り
660622657375708678405514965676067551204803784423489839847222898887272905193863366764080631781473836266477026450079159285330493341792428483328443533220049349514346674041656460412234386800390222634978538002504138281703579902629<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 5, 2021 19:59:10 UTC 2021 年 12 月 6 日 (月) 4 時 59 分 10 秒 (日本時間)

53×10261-89

c252

composite cofactor 合成数の残り
772159279836268693572165273237529290182469929133611785205288265592733880335652573579950275173190410872161544250176081191645926535427862362139129447653171854321700143980735477033301905821261338915867067672419362044783938205657200266278702235481198241647<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 6, 2021 04:52:53 UTC 2021 年 12 月 6 日 (月) 13 時 52 分 53 秒 (日本時間)

53×10262-89

c262

name 名前Dmitry Domanov
date 日付December 6, 2021 13:36:43 UTC 2021 年 12 月 6 日 (月) 22 時 36 分 43 秒 (日本時間)
composite number 合成数
7361111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<262>
prime factors 素因数
22589992117998054362286440181731320695151309243<47>
325857179261533069966001507045951442265799408184000032760007466352090450913650871525654295419117814558920878512700680781896477795076184419045054653280527030661772199043223243708373990275089786356123300580875865835877<216>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=128527043
Step 1 took 16497ms
Step 2 took 5824ms
********** Factor found in step 2: 22589992117998054362286440181731320695151309243
Found probable prime factor of 47 digits: 22589992117998054362286440181731320695151309243
Probable prime cofactor 325857179261533069966001507045951442265799408184000032760007466352090450913650871525654295419117814558920878512700680781896477795076184419045054653280527030661772199043223243708373990275089786356123300580875865835877 has 216 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 6, 2021 04:52:12 UTC 2021 年 12 月 6 日 (月) 13 時 52 分 12 秒 (日本時間)

53×10263-89

c239

composite cofactor 合成数の残り
11247645692694370088904125692467154090406867486375662449490222158952573657097327965295734038639219467504454248537681326178627225892590058103370012734362131553192068075708021010918279956997630361704772707016361779267150707031640204826728803<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 5, 2021 19:57:20 UTC 2021 年 12 月 6 日 (月) 4 時 57 分 20 秒 (日本時間)

53×10264-89

c227

composite cofactor 合成数の残り
99308355858391917868829356550527508478087656864204502252439154534083153839640199221288932847730419772948808563889177337152670224406562876133563917194793406139090920096930382474653599482999200324058997935982614315278262676474193<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 5, 2021 19:58:08 UTC 2021 年 12 月 6 日 (月) 4 時 58 分 8 秒 (日本時間)

53×10265-89

c231

composite cofactor 合成数の残り
243724575059862834400612489689175185122898537946372050055810007704966355564924825962455252279673171065739219704080759173899656300573972549227365208403725561418276794673126650041211578517835081206059194771402583958859311214410685779<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 5, 2021 15:32:14 UTC 2021 年 12 月 6 日 (月) 0 時 32 分 14 秒 (日本時間)

53×10266-89

c238

composite cofactor 合成数の残り
2036340161313309921535404564454554777701292375979615917082467989523237232080805502911799195778898953396120976116195708442284591885378830695983388610761714924963296154535760516200858042934188780035971624010915451648693191736023065703729763<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 5, 2021 15:31:53 UTC 2021 年 12 月 6 日 (月) 0 時 31 分 53 秒 (日本時間)

53×10267-89

c255

composite cofactor 合成数の残り
145827750707723956166859716198581711409058406995989238564358619980153187498325686880996644460878716306680778983717100705709173171497383317355736288050715866825077570216738295121334297646787220866620003065238409440855158691236395117663741163286670792649091<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 5, 2021 22:50:10 UTC 2021 年 12 月 6 日 (月) 7 時 50 分 10 秒 (日本時間)

53×10268-89

c239

composite cofactor 合成数の残り
35052607187662631917567758867322284762027020165367286430942860866656911173896016426663246307796682985588859311459607891185992180907232215260892523892326059624826757868385007485482692484462506556265641932232955401665923087459221563892268629<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 5, 2021 15:31:07 UTC 2021 年 12 月 6 日 (月) 0 時 31 分 7 秒 (日本時間)

53×10269-89

c236

composite cofactor 合成数の残り
22593005774018743694323142867544719192416360727340417675247753721486222325035667790142862312857863902221251239308866842318753316218909703438290060245954398154783426215581836993884401514617480796707707030769395959919854166381935563342037<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 5, 2021 15:31:36 UTC 2021 年 12 月 6 日 (月) 0 時 31 分 36 秒 (日本時間)

53×10270-89

c260

composite cofactor 合成数の残り
71271600297981812274636065924489161538289324842017402876476985353851456603496684959907219675977171797824332445400657024357294211289084635563457125146189680239986671479632133061354611027858227662145786214421710102114521522927369453427222984269522274404418807831<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 5, 2021 22:48:36 UTC 2021 年 12 月 6 日 (月) 7 時 48 分 36 秒 (日本時間)

53×10271-89

c126

name 名前Eric Jeancolas
date 日付November 20, 2021 15:44:42 UTC 2021 年 11 月 21 日 (日) 0 時 44 分 42 秒 (日本時間)
composite number 合成数
350521130277363865734185449938426655551666328960795650169870536844370606297171326638392159338642494369295662323841692391340469<126>
prime factors 素因数
712468455503045628409186094603149132823<39>
491981262566740365144664207755933225287830342478480876948385438868278168024120320554003<87>
factorization results 素因数分解の結果
350521130277363865734185449938426655551666328960795650169870536844370606297171326638392159338642494369295662323841692391340469=712468455503045628409186094603149132823*491981262566740365144664207755933225287830342478480876948385438868278168024120320554003

cado polynomial
n: 350521130277363865734185449938426655551666328960795650169870536844370606297171326638392159338642494369295662323841692391340469
skew: 34526.558
c0: 6500936870647527419342981360
c1: 1594264382394924146222154
c2: -32991112262849295353
c3: -1787819020361641
c4: 4488894476
c5: 374400
Y0: -1300392035798380321125347
Y1: 1890336554163837179
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.303e-07
# f(x) = 374400*x^5+4488894476*x^4-1787819020361641*x^3-32991112262849295353*x^2+1594264382394924146222154*x+6500936870647527419342981360
# g(x) = 1890336554163837179*x-1300392035798380321125347

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

cado log (extracts)
Info:Square Root: Factors: 712468455503045628409186094603149132823 491981262566740365144664207755933225287830342478480876948385438868278168024120320554003
Info:Square Root: Total cpu/real time for sqrt: 587.16/156.064
Info:Generate Factor Base: Total cpu/real time for makefb: 8.58/2.29304
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 52.32/60.6673
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 60.1s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 3098.68
Info:Polynomial Selection (root optimized): Rootsieve time: 3096.24
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 198.49/196.327
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 159.5s
Info:Filtering - Merging: Merged matrix has 825979 rows and total weight 140820160 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 175.3/50.302
Info:Filtering - Merging: Total cpu/real time for replay: 31.1/25.8444
Info:Linear Algebra: Total cpu/real time for bwc: 10630.2/2734.78
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 6618.09, WCT time 1695.89, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25856 iterations)
Info:Linear Algebra: Lingen CPU time 146.01, WCT time 37.1
Info:Linear Algebra: Mksol: CPU time 3736.3,  WCT time 954.48, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13056 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 30.78/12.2011
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19925.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20127/36.450/44.741/48.550/0.859
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15950/35.540/40.127/45.480/0.999
Info:Polynomial Selection (size optimized): Total time: 1958.01
Info:Generate Free Relations: Total cpu/real time for freerel: 126.43/32.2685
Info:Filtering - Singleton removal: Total cpu/real time for purge: 138.97/160.269
Info:Square Root: Total cpu/real time for sqrt: 587.16/156.064
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 12251498
Info:Lattice Sieving: Average J: 3810.22 for 253569 special-q, max bucket fill -bkmult 1.0,1s:1.238010
Info:Lattice Sieving: Total time: 74286.3s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 155247/41956.7
Info:root: Cleaning up computation data in /tmp/cado.e6g35odl
712468455503045628409186094603149132823 491981262566740365144664207755933225287830342478480876948385438868278168024120320554003
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
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 JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

53×10273-89

c265

composite cofactor 合成数の残り
2830090984383601093709315239434332794211039621560421528984579301564891782645600057183472802288883949536433638500057775933660589505286421784477076884364958761095338063571754094138520643964549953107015686234017829562094844521762273827677538753163129149693260065357741<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 5, 2021 22:47:48 UTC 2021 年 12 月 6 日 (月) 7 時 47 分 48 秒 (日本時間)

53×10274-89

c211

composite cofactor 合成数の残り
3591588499574963992321473598109435012103706011914693215519137478532760841982278972467754762515559839369460971449561532900538447432923759020031478096142897379802395415437744618188656363931316914327559004276559909<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 5, 2021 08:02:30 UTC 2021 年 12 月 5 日 (日) 17 時 2 分 30 秒 (日本時間)

53×10275-89

c203

composite cofactor 合成数の残り
79185584232139173609574083451087418128889286301623518893549237124801582111033596076751990469689377344207887298630118152565886702442725937627705035321399141029463075310054524399974890103129490245201621411<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 5, 2021 08:02:19 UTC 2021 年 12 月 5 日 (日) 17 時 2 分 19 秒 (日本時間)

53×10276-89

c275

composite cofactor 合成数の残り
43300653594771241830065359477124183006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 5, 2021 22:46:00 UTC 2021 年 12 月 6 日 (月) 7 時 46 分 0 秒 (日本時間)

53×10278-89

c218

composite cofactor 合成数の残り
28105579160474398363462786118491158769096511017705269402551031693958337813346292480855383555822014806799570565745309114447314360589702895784317271754725929571350964077221014553174325432672300159584441804475469380354687<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 5, 2021 08:02:02 UTC 2021 年 12 月 5 日 (日) 17 時 2 分 2 秒 (日本時間)

53×10282-89

c280

composite cofactor 合成数の残り
1707914410930652229956174271719515339004898169631348285640629028100025779840164990977055942253158030420211394689352926011858726475895849445733436452693993297241557102345965455014178912090745037380768239236916731116267079144109306522299561742717195153390048981696313482856406290281<280>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 5, 2021 12:32:43 UTC 2021 年 12 月 5 日 (日) 21 時 32 分 43 秒 (日本時間)

53×10283-89

c257

composite cofactor 合成数の残り
11892676721380094507716158981103052972294800235448538804149427103810738136425974038452687733816234797765275426007713158392559585185573789185353042212618339004784662811706415163453081988305714014607275202766504324627889261011088007295249388831541109084823491<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 5, 2021 10:40:34 UTC 2021 年 12 月 5 日 (日) 19 時 40 分 34 秒 (日本時間)

53×10284-89

c273

composite cofactor 合成数の残り
755499439767160396032553299204807090757010457611156125621414460175082917430512281226882453077980110354485872264058463328082235800068439913774821661567796483104053322246058084376946046136644124179628242506258500850524003419276276205182646322920335405551646360777737229388443<273>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 5, 2021 10:30:25 UTC 2021 年 12 月 5 日 (日) 19 時 30 分 25 秒 (日本時間)

53×10285-89

c263

composite cofactor 合成数の残り
14553414115453724541081646363157772258341514155457532350482438757700030154377240203916507683632298958677774219810652008923009717850610528035710696709515675168212911820404449475701013524182986451211439691192080271900237441624676797874380657780823563309734554625527<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 5, 2021 10:30:01 UTC 2021 年 12 月 5 日 (日) 19 時 30 分 1 秒 (日本時間)

53×10286-89

c276

composite cofactor 合成数の残り
322406807591133001634208710996069494532604326212675915550989626355905292632010965902864796479237861891723375173194127232212755188586450848907228981791938193557470984833268748044893151828239451601034079033489597509121916115498387496228708598799734115093404319257693876212956527<276>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 5, 2021 10:29:46 UTC 2021 年 12 月 5 日 (日) 19 時 29 分 46 秒 (日本時間)

53×10287-89

c234

composite cofactor 合成数の残り
169894575436711949955467497389100229674621846013669603442233087897919350229262615139687603072678062608102593857611707462773341784884671225581924637556127842757298475266584782932921102075876297150769669195230141581674049087344601850471<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 5, 2021 08:01:37 UTC 2021 年 12 月 5 日 (日) 17 時 1 分 37 秒 (日本時間)

53×10289-89

c263

composite cofactor 合成数の残り
14797104776455410709141087782407956688764033639417459138043685937856320341032731328479957122021900905347031132721058128151528473601656272870343834203862241927186426867309900770357378508235168929979616053194346958317787564127225010496610061221101441385528044765553<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 4, 2021 23:01:00 UTC 2021 年 12 月 5 日 (日) 8 時 1 分 0 秒 (日本時間)

53×10290-89

c269

composite cofactor 合成数の残り
21784656268721096085252507944242387308830956630841744226488918403214844080435625841049195539063179138408137946195166615164436624634684704844233938024144681858687684916729532164965796658354959639359114596080304470760501187798741471779219904288558549225603996632373328367<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 4, 2021 00:20:24 UTC 2021 年 12 月 4 日 (土) 9 時 20 分 24 秒 (日本時間)

53×10291-89

c244

composite cofactor 合成数の残り
1126379432570220378123942139751644287346322695663372322378818610671019653663858082955669926390326375035843255282185742255909250599596221682102409393112042605606697308767149279152004676208050540863745267761860014493521506728719980974040555492147<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 4, 2021 00:20:41 UTC 2021 年 12 月 4 日 (土) 9 時 20 分 41 秒 (日本時間)

53×10293-89

c253

composite cofactor 合成数の残り
4134446988225119693687159526890515563196647025109665858573248337491722287474289197120525570103160097808932057506145454275997908409094474958929331612233696665491906020636472677648206781715669309213217945229471436835995500020381649150652504375735210774511<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 4, 2021 23:00:27 UTC 2021 年 12 月 5 日 (日) 8 時 0 分 27 秒 (日本時間)

53×10294-89

c256

name 名前ebina
date 日付November 21, 2021 05:39:08 UTC 2021 年 11 月 21 日 (日) 14 時 39 分 8 秒 (日本時間)
composite number 合成数
1615468582519523863291106499550902597242956342180141502490008082389577709528485196229148099211092878136418054946430364971154089157077592290049730407457131711807337985088735717943614662635473227891477802113287475023816217628694496493907697044679540926410123<256>
prime factors 素因数
744092975763544901213265584762548621<36>
composite cofactor 合成数の残り
2171057428491142566593254878026944532882614080040793855690233350564183235485293079858014511903182587217723133344016669294866620506624630817043836531087509365049115910605046320549239064795127636754167001966884747035507063<220>
factorization results 素因数分解の結果
C:\MYDATA\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:1858245934 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 1615468582519523863291106499550902597242956342180141502490008082389577709528485196229148099211092878136418054946430364971154089157077592290049730407457131711807337985088735717943614662635473227891477802113287475023816217628694496493907697044679540926410123 (256 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1858245934
Step 1 took 15140ms
Step 2 took 8750ms
********** Factor found in step 2: 744092975763544901213265584762548621
Found probable prime factor of 36 digits: 744092975763544901213265584762548621
Composite cofactor 2171057428491142566593254878026944532882614080040793855690233350564183235485293079858014511903182587217723133344016669294866620506624630817043836531087509365049115910605046320549239064795127636754167001966884747035507063 has 220 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61552 / 2078552ebinaNovember 21, 2021 05:38:13 UTC 2021 年 11 月 21 日 (日) 14 時 38 分 13 秒 (日本時間)
1000Dmitry DomanovDecember 5, 2021 08:01:05 UTC 2021 年 12 月 5 日 (日) 17 時 1 分 5 秒 (日本時間)

53×10295-89

c248

composite cofactor 合成数の残り
74259679141337868269561641856471403048118492576556766748128037955145790515234425193082844311343010758339187656522135619291974031958974879779710490092727112382035752248979290582029075359359636133662212180422223304966760926862332332418271825113350853<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e62078ebinaNovember 21, 2021 17:11:52 UTC 2021 年 11 月 22 日 (月) 2 時 11 分 52 秒 (日本時間)

53×10298-89

c298

composite cofactor 合成数の残り
7361111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<298>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e632781200Dmitry DomanovNovember 21, 2021 10:06:52 UTC 2021 年 11 月 21 日 (日) 19 時 6 分 52 秒 (日本時間)
2078ebinaNovember 21, 2021 17:13:35 UTC 2021 年 11 月 22 日 (月) 2 時 13 分 35 秒 (日本時間)

53×10299-89

c275

composite cofactor 合成数の残り
79365384360714147964596353981893178219048321937421282239080903312369638486947103011256572406031598823916769747554336689355860767887347973910113506277305927812934478711077048340889048689478881487263478613900084673472636169470501347513355291113378791320040836512218828896950161<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e62078ebinaNovember 21, 2021 17:14:31 UTC 2021 年 11 月 22 日 (月) 2 時 14 分 31 秒 (日本時間)

53×10300-89

c300

composite cofactor 合成数の残り
736111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<300>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 20, 2021 09:00:00 UTC 2021 年 11 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovNovember 20, 2021 19:33:50 UTC 2021 年 11 月 21 日 (日) 4 時 33 分 50 秒 (日本時間)
4511e636001800Dmitry DomanovNovember 21, 2021 10:06:31 UTC 2021 年 11 月 21 日 (日) 19 時 6 分 31 秒 (日本時間)
1800Dmitry DomanovNovember 22, 2021 23:04:03 UTC 2021 年 11 月 23 日 (火) 8 時 4 分 3 秒 (日本時間)
5043e6200 / 6694Dmitry DomanovNovember 23, 2021 22:07:27 UTC 2021 年 11 月 24 日 (水) 7 時 7 分 27 秒 (日本時間)