Table of contents 目次

65×10102+619

c92

name 名前Serge Batalov
date 日付October 28, 2009 03:28:37 UTC 2009 年 10 月 28 日 (水) 12 時 28 分 37 秒 (日本時間)
composite number 合成数
11515848832114509541969286728301648150391951381143915818708913267971130126036386168945187989<92>
prime factors 素因数
175788552003242654918707023394121127082163<42>
65509663177054239063561837808654735019636969220503<50>
factorization results 素因数分解の結果
SNFS difficulty: 104 digits.
Divisors found:
 r1=175788552003242654918707023394121127082163 (pp42)
 r2=65509663177054239063561837808654735019636969220503 (pp50)
Version: Msieve v. 1.44 SVN130
Total time: 0.26 hours.
Scaled time: 0.63 units (timescale=2.400).
Factorization parameters were as follows:
n: 11515848832114509541969286728301648150391951381143915818708913267971130126036386168945187989
m: 50000000000000000000000000
deg: 4
c4: 52
c0: 305
skew: 1.56
type: snfs
lss: 1
rlim: 390000
alim: 390000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 390000/390000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [195000, 275001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 31248 x 31496
Total sieving time: 0.25 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,104.000,4,0,0,0,0,0,0,0,0,390000,390000,25,25,44,44,2.2,2.2,10000
total time: 0.26 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 27, 2009 14:00:00 UTC 2009 年 10 月 27 日 (火) 23 時 0 分 0 秒 (日本時間)

65×10104+619

c85

name 名前Erik Branger
date 日付October 27, 2009 16:48:40 UTC 2009 年 10 月 28 日 (水) 1 時 48 分 40 秒 (日本時間)
composite number 合成数
1555321738606498913184153860786756010560527305346283314428864765623009053835596854181<85>
prime factors 素因数
40936918812214106518239018554059251721<38>
37993131474820395090146307173650064397787555261<47>
factorization results 素因数分解の結果
10/27/09 17:32:06 v1.12 @ ERIK-DATOR, starting SIQS on c85: 1555321738606498913184153860786756010560527305346283314428864765623009053835596854181
10/27/09 17:32:06 v1.12 @ ERIK-DATOR, random seeds: 3962589134, 1153892920
10/27/09 17:32:06 v1.12 @ ERIK-DATOR, ==== sieve params ====
10/27/09 17:32:06 v1.12 @ ERIK-DATOR, n = 85 digits, 280 bits
10/27/09 17:32:06 v1.12 @ ERIK-DATOR, factor base: 54371 primes (max prime = 1426717)
10/27/09 17:32:06 v1.12 @ ERIK-DATOR, single large prime cutoff: 135538115 (95 * pmax)
10/27/09 17:32:06 v1.12 @ ERIK-DATOR, double large prime range from 42 to 49 bits
10/27/09 17:32:06 v1.12 @ ERIK-DATOR, double large prime cutoff: 434220771349436
10/27/09 17:32:06 v1.12 @ ERIK-DATOR, using 0 large prime slices of factor base
10/27/09 17:32:06 v1.12 @ ERIK-DATOR, buckets hold 1024 elements
10/27/09 17:32:06 v1.12 @ ERIK-DATOR, sieve interval: 14 blocks of size 32768
10/27/09 17:32:06 v1.12 @ ERIK-DATOR, polynomial A has ~ -1878638032 factors
10/27/09 17:32:06 v1.12 @ ERIK-DATOR, using multiplier of 1
10/27/09 17:32:06 v1.12 @ ERIK-DATOR, using small prime variation correction of 19 bits
10/27/09 17:32:06 v1.12 @ ERIK-DATOR, using SSE2 for trial division and x128 sieve scanning
10/27/09 17:32:06 v1.12 @ ERIK-DATOR, trial factoring cutoff at 91 bits
10/27/09 17:32:06 v1.12 @ ERIK-DATOR, ==== sieving started ( 2 threads) ====
10/27/09 17:45:18 v1.12 @ ERIK-DATOR, sieve time = 169.0812, relation time = 175.8406, poly_time = 323.7462
10/27/09 17:45:18 v1.12 @ ERIK-DATOR, 54712 relations found: 17242 full + 37470 from 548555 partial, using 22772460 polys (501 A polys)
10/27/09 17:45:18 v1.12 @ ERIK-DATOR, on average, sieving found 0.02 rels/poly and 714.15 rels/sec
10/27/09 17:45:18 v1.12 @ ERIK-DATOR, trial division touched 13327686 sieve locations out of 20893823139840
10/27/09 17:45:18 v1.12 @ ERIK-DATOR, ==== post processing stage (msieve-1.38) ====
10/27/09 17:45:19 v1.12 @ ERIK-DATOR, begin with 565797 relations
10/27/09 17:45:19 v1.12 @ ERIK-DATOR, reduce to 119482 relations in 11 passes
10/27/09 17:45:24 v1.12 @ ERIK-DATOR, recovered 119482 relations
10/27/09 17:45:24 v1.12 @ ERIK-DATOR, recovered 87233 polynomials
10/27/09 17:45:24 v1.12 @ ERIK-DATOR, attempting to build 54712 cycles
10/27/09 17:45:24 v1.12 @ ERIK-DATOR, found 54712 cycles in 5 passes
10/27/09 17:45:24 v1.12 @ ERIK-DATOR, distribution of cycle lengths:
10/27/09 17:45:24 v1.12 @ ERIK-DATOR,    length 1 : 17242
10/27/09 17:45:24 v1.12 @ ERIK-DATOR,    length 2 : 12987
10/27/09 17:45:24 v1.12 @ ERIK-DATOR,    length 3 : 10242
10/27/09 17:45:24 v1.12 @ ERIK-DATOR,    length 4 : 6560
10/27/09 17:45:24 v1.12 @ ERIK-DATOR,    length 5 : 3769
10/27/09 17:45:24 v1.12 @ ERIK-DATOR,    length 6 : 1911
10/27/09 17:45:24 v1.12 @ ERIK-DATOR,    length 7 : 1038
10/27/09 17:45:24 v1.12 @ ERIK-DATOR,    length 9+: 963
10/27/09 17:45:24 v1.12 @ ERIK-DATOR, largest cycle: 16 relations
10/27/09 17:45:25 v1.12 @ ERIK-DATOR, matrix is 54371 x 54712 (11.1 MB) with weight 2693387 (49.23/col)
10/27/09 17:45:25 v1.12 @ ERIK-DATOR, sparse part has weight 2693387 (49.23/col)
10/27/09 17:45:25 v1.12 @ ERIK-DATOR, filtering completed in 3 passes
10/27/09 17:45:25 v1.12 @ ERIK-DATOR, matrix is 48327 x 48390 (10.0 MB) with weight 2415324 (49.91/col)
10/27/09 17:45:25 v1.12 @ ERIK-DATOR, sparse part has weight 2415324 (49.91/col)
10/27/09 17:45:25 v1.12 @ ERIK-DATOR, saving the first 48 matrix rows for later
10/27/09 17:45:25 v1.12 @ ERIK-DATOR, matrix is 48279 x 48390 (8.4 MB) with weight 2085580 (43.10/col)
10/27/09 17:45:25 v1.12 @ ERIK-DATOR, sparse part has weight 1899415 (39.25/col)
10/27/09 17:45:25 v1.12 @ ERIK-DATOR, matrix includes 64 packed rows
10/27/09 17:45:25 v1.12 @ ERIK-DATOR, using block size 19356 for processor cache size 2048 kB
10/27/09 17:45:26 v1.12 @ ERIK-DATOR, commencing Lanczos iteration
10/27/09 17:45:26 v1.12 @ ERIK-DATOR, memory use: 7.5 MB
10/27/09 17:45:42 v1.12 @ ERIK-DATOR, lanczos halted after 764 iterations (dim = 48277)
10/27/09 17:45:42 v1.12 @ ERIK-DATOR, recovered 15 nontrivial dependencies
10/27/09 17:45:43 v1.12 @ ERIK-DATOR, prp38 = 40936918812214106518239018554059251721
10/27/09 17:45:50 v1.12 @ ERIK-DATOR, Lanczos elapsed time = 23.2130 seconds.
10/27/09 17:45:50 v1.12 @ ERIK-DATOR, Sqrt elapsed time = 8.6580 seconds.
10/27/09 17:45:50 v1.12 @ ERIK-DATOR, SIQS elapsed time = 824.1340 seconds.
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
3025e40--
351e6150 / 904Lionel DebrouxOctober 27, 2009 14:00:00 UTC 2009 年 10 月 27 日 (火) 23 時 0 分 0 秒 (日本時間)

65×10107+619

c107

name 名前Erik Branger
date 日付October 27, 2009 17:18:34 UTC 2009 年 10 月 28 日 (水) 2 時 18 分 34 秒 (日本時間)
composite number 合成数
10466988727858293075684380032206119162640901771336553945249597423510466988727858293075684380032206119162641<107>
prime factors 素因数
79042814270215615286909496928517614545370473299<47>
132421761857768186465514068388207008726242724827202973362059<60>
factorization results 素因数分解の結果
Number: 72229_107
N=10466988727858293075684380032206119162640901771336553945249597423510466988727858293075684380032206119162641
  ( 107 digits)
SNFS difficulty: 110 digits.
Divisors found:
 r1=79042814270215615286909496928517614545370473299 (pp47)
 r2=132421761857768186465514068388207008726242724827202973362059 (pp60)
Version: Msieve-1.40
Total time: 0.81 hours.
Scaled time: 0.81 units (timescale=1.005).
Factorization parameters were as follows:
n: 10466988727858293075684380032206119162640901771336553945249597423510466988727858293075684380032206119162641
m: 5000000000000000000000
deg: 5
c5: 52
c0: 1525
skew: 1.97
type: snfs
lss: 1
rlim: 480000
alim: 480000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 480000/480000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [240000, 390001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 46369 x 46594
Total sieving time: 0.79 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,110.000,5,0,0,0,0,0,0,0,0,480000,480000,25,25,44,44,2.2,2.2,50000
total time: 0.81 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 27, 2009 14:00:00 UTC 2009 年 10 月 27 日 (火) 23 時 0 分 0 秒 (日本時間)

65×10111+619

c112

name 名前Erik Branger
date 日付October 27, 2009 17:56:44 UTC 2009 年 10 月 28 日 (水) 2 時 56 分 44 秒 (日本時間)
composite number 合成数
7222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229<112>
prime factors 素因数
14428621383131545651735579585663<32>
18758370112130867494247173697377<32>
26683998610560713798271832980145381354268977407179<50>
factorization results 素因数分解の結果
Number: 72229_111
N=7222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229
  ( 112 digits)
SNFS difficulty: 112 digits.
Divisors found:
 r1=14428621383131545651735579585663 (pp32)
 r2=18758370112130867494247173697377 (pp32)
 r3=26683998610560713798271832980145381354268977407179 (pp50)
Version: Msieve-1.40
Total time: 1.11 hours.
Scaled time: 1.06 units (timescale=0.954).
Factorization parameters were as follows:
n: 7222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229
m: 10000000000000000000000
deg: 5
c5: 650
c0: 61
skew: 0.62
type: snfs
lss: 1
rlim: 530000
alim: 530000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 530000/530000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [265000, 465001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 57157 x 57383
Total sieving time: 1.07 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,112.000,5,0,0,0,0,0,0,0,0,530000,530000,25,25,45,45,2.2,2.2,50000
total time: 1.11 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 27, 2009 14:00:00 UTC 2009 年 10 月 27 日 (火) 23 時 0 分 0 秒 (日本時間)

65×10115+619

c111

name 名前Erik Branger
date 日付October 27, 2009 20:06:23 UTC 2009 年 10 月 28 日 (水) 5 時 6 分 23 秒 (日本時間)
composite number 合成数
351622575900437797154886498937288384067061457675731496673379953077319640609269961207915511045547024650906401857<111>
prime factors 素因数
328435207543886906309884067988371073769559<42>
1070599521074343091789542842721123619754026479476702613661538459978023<70>
factorization results 素因数分解の結果
Number: 72229_115
N=351622575900437797154886498937288384067061457675731496673379953077319640609269961207915511045547024650906401857
  ( 111 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=328435207543886906309884067988371073769559 (pp42)
 r2=1070599521074343091789542842721123619754026479476702613661538459978023 (pp70)
Version: Msieve v. 1.43
Total time: 2.15 hours.
Scaled time: 1.69 units (timescale=0.786).
Factorization parameters were as follows:
n: 351622575900437797154886498937288384067061457675731496673379953077319640609269961207915511045547024650906401857
m: 100000000000000000000000
deg: 5
c5: 65
c0: 61
skew: 0.99
type: snfs
lss: 1
rlim: 620000
alim: 620000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 620000/620000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [310000, 560001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 71961 x 72186
Total sieving time: 2.09 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,116.000,5,0,0,0,0,0,0,0,0,620000,620000,25,25,45,45,2.2,2.2,50000
total time: 2.15 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 27, 2009 14:00:00 UTC 2009 年 10 月 27 日 (火) 23 時 0 分 0 秒 (日本時間)

65×10116+619

c117

name 名前Robert Backstrom
date 日付October 28, 2009 05:58:57 UTC 2009 年 10 月 28 日 (水) 14 時 58 分 57 秒 (日本時間)
composite number 合成数
240740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740743<117>
prime factors 素因数
34527480997338766455831224411614972334483833577<47>
6972438584769506590625189732568805545326881025591814765362809896626159<70>
factorization results 素因数分解の結果
Number: n
N=240740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740743
  ( 117 digits)
SNFS difficulty: 117 digits.
Divisors found:

Wed Oct 28 16:56:37 2009  prp47 factor: 34527480997338766455831224411614972334483833577
Wed Oct 28 16:56:37 2009  prp70 factor: 6972438584769506590625189732568805545326881025591814765362809896626159
Wed Oct 28 16:56:37 2009  elapsed time 00:02:19 (Msieve 1.43 - dependency 1)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 1.05 hours.
Scaled time: 1.92 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_7_2_115_9
n: 240740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740743
m: 100000000000000000000000
deg: 5
c5: 650
c0: 61
skew: 0.62
type: snfs
lss: 1
rlim: 640000
alim: 640000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
qintsize: 10000
Factor base limits: 640000/640000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved  special-q in [320000, 561061)
Primes: RFBsize:52074, AFBsize:51702, largePrimes:1210995 encountered
Relations: rels:1144261, finalFF:109583
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 87777 hash collisions in 1223142 relations
Msieve: matrix is 79909 x 80151 (21.9 MB)

Total sieving time: 1.03 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,117,5,0,0,0,0,0,0,0,0,640000,640000,25,25,45,45,2.2,2.2,50000
total time: 1.05 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 27, 2009 14:00:00 UTC 2009 年 10 月 27 日 (火) 23 時 0 分 0 秒 (日本時間)

65×10117+619

c103

name 名前Erik Branger
date 日付October 27, 2009 21:00:45 UTC 2009 年 10 月 28 日 (水) 6 時 0 分 45 秒 (日本時間)
composite number 合成数
2773447513943446569817561422303395282509228786333955391050715933373497446320373021357915263447705664461<103>
prime factors 素因数
42093341119931891329454249457027079313<38>
65888034547824796575698532984997713657408166425194274082537404797<65>
factorization results 素因数分解の結果
Number: 72229_117
N=2773447513943446569817561422303395282509228786333955391050715933373497446320373021357915263447705664461
  ( 103 digits)
SNFS difficulty: 120 digits.
Divisors found:
 r1=42093341119931891329454249457027079313 (pp38)
 r2=65888034547824796575698532984997713657408166425194274082537404797 (pp65)
Version: Msieve-1.40
Total time: 1.41 hours.
Scaled time: 1.34 units (timescale=0.948).
Factorization parameters were as follows:
n: 2773447513943446569817561422303395282509228786333955391050715933373497446320373021357915263447705664461
m: 500000000000000000000000
deg: 5
c5: 52
c0: 1525
skew: 1.97
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 : 90219 x 90444
Total sieving time: 1.34 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,120.000,5,0,0,0,0,0,0,0,0,710000,710000,25,25,46,46,2.2,2.2,50000
total time: 1.41 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 27, 2009 14:00:00 UTC 2009 年 10 月 27 日 (火) 23 時 0 分 0 秒 (日本時間)

65×10119+619

c113

name 名前Sinkiti Sibata
date 日付October 28, 2009 22:57:39 UTC 2009 年 10 月 29 日 (木) 7 時 57 分 39 秒 (日本時間)
composite number 合成数
10339182496778227225222199649400866563787983279416803045653390419872880960091142088797076312060113814007240357713<113>
prime factors 素因数
61337291745830448794575516401101672468419237064719<50>
168562748737289305529363034257681167433141794253215672631853727<63>
factorization results 素因数分解の結果
Number: 72229_119
N=10339182496778227225222199649400866563787983279416803045653390419872880960091142088797076312060113814007240357713
  ( 113 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=61337291745830448794575516401101672468419237064719 (pp50)
 r2=168562748737289305529363034257681167433141794253215672631853727 (pp63)
Version: Msieve-1.40
Total time: 1.93 hours.
Scaled time: 3.95 units (timescale=2.045).
Factorization parameters were as follows:
name: 72229_119
n: 10339182496778227225222199649400866563787983279416803045653390419872880960091142088797076312060113814007240357713
m: 1000000000000000000000000
deg: 5
c5: 13
c0: 122
skew: 1.56
type: snfs
lss: 1
rlim: 730000
alim: 730000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 730000/730000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [365000, 665001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 87883 x 88110
Total sieving time: 1.87 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,121.000,5,0,0,0,0,0,0,0,0,730000,730000,25,25,46,46,2.2,2.2,50000
total time: 1.93 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 27, 2009 14:00:00 UTC 2009 年 10 月 27 日 (火) 23 時 0 分 0 秒 (日本時間)

65×10121+619

c100

name 名前Sinkiti Sibata
date 日付October 28, 2009 13:02:58 UTC 2009 年 10 月 28 日 (水) 22 時 2 分 58 秒 (日本時間)
composite number 合成数
1028077491347156507372296855523252062931863952111775925648980556755371523816490127643897432972414107<100>
prime factors 素因数
20970409353518247468689112397010047726039<41>
49025151298473527075633438557521717012039531437304980040413<59>
factorization results 素因数分解の結果
Number: 72229_121
N=1028077491347156507372296855523252062931863952111775925648980556755371523816490127643897432972414107
  ( 100 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=20970409353518247468689112397010047726039 (pp41)
 r2=49025151298473527075633438557521717012039531437304980040413 (pp59)
Version: GGNFS-0.77.1-20060513-k8
Total time: 3.16 hours.
Scaled time: 6.05 units (timescale=1.916).
Factorization parameters were as follows:
name: 72229_121
n: 1028077491347156507372296855523252062931863952111775925648980556755371523816490127643897432972414107
m: 1000000000000000000000000
deg: 5
c5: 650
c0: 61
skew: 0.62
type: snfs
lss: 1
rlim: 780000
alim: 780000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 780000/780000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [390000, 740001)
Primes: RFBsize:62468, AFBsize:62166, largePrimes:1452590 encountered
Relations: rels:1463616, finalFF:183399
Max relations in full relation-set: 28
Initial matrix: 124701 x 183399 with sparse part having weight 9655301.
Pruned matrix : 106872 x 107559 with weight 4217800.
Total sieving time: 3.03 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,122,5,0,0,0,0,0,0,0,0,780000,780000,25,25,46,46,2.2,2.2,50000
total time: 3.16 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 27, 2009 14:00:00 UTC 2009 年 10 月 27 日 (火) 23 時 0 分 0 秒 (日本時間)

65×10123+619

c113

name 名前Sinkiti Sibata
date 日付October 28, 2009 11:16:16 UTC 2009 年 10 月 28 日 (水) 20 時 16 分 16 秒 (日本時間)
composite number 合成数
35128896552640436304237638852300777831238242048760563711369157626269703401120520531589052046752787199110834744239<113>
prime factors 素因数
43832229960417833389559695476524062451127923298934897<53>
801439867065015004955353448349678622394919140325219877510687<60>
factorization results 素因数分解の結果
Number: 72229_123
N=35128896552640436304237638852300777831238242048760563711369157626269703401120520531589052046752787199110834744239
  ( 113 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=43832229960417833389559695476524062451127923298934897 (pp53)
 r2=801439867065015004955353448349678622394919140325219877510687 (pp60)
Version: Msieve-1.40
Total time: 2.23 hours.
Scaled time: 4.63 units (timescale=2.078).
Factorization parameters were as follows:
name: 72229_123
n: 35128896552640436304237638852300777831238242048760563711369157626269703401120520531589052046752787199110834744239
m: 5000000000000000000000000
deg: 5
c5: 104
c0: 305
skew: 1.24
type: snfs
lss: 1
rlim: 860000
alim: 860000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 860000/860000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [430000, 730001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 138461 x 138703
Total sieving time: 2.08 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,125.000,5,0,0,0,0,0,0,0,0,860000,860000,26,26,46,46,2.3,2.3,50000
total time: 2.23 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 27, 2009 14:00:00 UTC 2009 年 10 月 27 日 (火) 23 時 0 分 0 秒 (日本時間)

65×10130+619

c103

name 名前Erik Branger
date 日付October 29, 2009 14:19:26 UTC 2009 年 10 月 29 日 (木) 23 時 19 分 26 秒 (日本時間)
composite number 合成数
8889959554903411701690137669062704823054606208746224362590409854700706089629534587027889575236078978219<103>
prime factors 素因数
88242340891347424067333022942264527163159569<44>
100744829127432112190700097504794978919085457423286387865851<60>
factorization results 素因数分解の結果
Number: 72229_130
N=8889959554903411701690137669062704823054606208746224362590409854700706089629534587027889575236078978219
  ( 103 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=88242340891347424067333022942264527163159569 (pp44)
 r2=100744829127432112190700097504794978919085457423286387865851 (pp60)
Version: Msieve v. 1.43
Total time: 5.60 hours.
Scaled time: 4.35 units (timescale=0.776).
Factorization parameters were as follows:
n: 8889959554903411701690137669062704823054606208746224362590409854700706089629534587027889575236078978219
m: 100000000000000000000000000
deg: 5
c5: 65
c0: 61
skew: 0.99
type: snfs
lss: 1
rlim: 1100000
alim: 1100000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1100000/1100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [550000, 1100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 170836 x 171061
Total sieving time: 5.33 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,131.000,5,0,0,0,0,0,0,0,0,1100000,1100000,26,26,47,47,2.3,2.3,50000
total time: 5.60 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 27, 2009 14:00:00 UTC 2009 年 10 月 27 日 (火) 23 時 0 分 0 秒 (日本時間)

65×10131+619

c130

name 名前Dmitry Domanov
date 日付October 27, 2009 18:46:54 UTC 2009 年 10 月 28 日 (水) 3 時 46 分 54 秒 (日本時間)
composite number 合成数
3047351148616971401781528363806844819503047351148616971401781528363806844819503047351148616971401781528363806844819503047351148617<130>
prime factors 素因数
1280509510648682082491308652467981505699141252049001<52>
2379795794779564354598086165038364450138527040490957073655723750806221001915617<79>
factorization results 素因数分解の結果
Number: s130-1
N=3047351148616971401781528363806844819503047351148616971401781528363806844819503047351148616971401781528363806844819503047351148617
  ( 130 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=1280509510648682082491308652467981505699141252049001 (pp52)
 r2=2379795794779564354598086165038364450138527040490957073655723750806221001915617 (pp79)
Version: Msieve-1.40
Total time: 3.55 hours.
Scaled time: 6.62 units (timescale=1.866).
Factorization parameters were as follows:
n: 3047351148616971401781528363806844819503047351148616971401781528363806844819503047351148616971401781528363806844819503047351148617
m: 100000000000000000000000000
deg: 5
c5: 650
c0: 61
skew: 0.62
type: snfs
lss: 1
rlim: 1140000
alim: 1140000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1140000/1140000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [570000, 1320001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 149370 x 149595
Total sieving time: 3.44 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,132.000,5,0,0,0,0,0,0,0,0,1140000,1140000,26,26,47,47,2.3,2.3,50000
total time: 3.55 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 27, 2009 14:00:00 UTC 2009 年 10 月 27 日 (火) 23 時 0 分 0 秒 (日本時間)

65×10134+619

c124

name 名前Dmitry Domanov
date 日付October 28, 2009 15:01:13 UTC 2009 年 10 月 29 日 (木) 0 時 1 分 13 秒 (日本時間)
composite number 合成数
7028047078471404241385538249417286890637656454374573587608436511688677005460215314566301659645079212232217122710089340384829<124>
prime factors 素因数
8170620663352175538141363624278865919798181514357283034749<58>
860160735400974356984124869352479240710535091232943755301407369921<66>
factorization results 素因数分解の結果
Number: s124
N=7028047078471404241385538249417286890637656454374573587608436511688677005460215314566301659645079212232217122710089340384829
  ( 124 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=8170620663352175538141363624278865919798181514357283034749 (pp58)
 r2=860160735400974356984124869352479240710535091232943755301407369921 (pp66)
Version: Msieve-1.40
Total time: 3.37 hours.
Scaled time: 6.60 units (timescale=1.957).
Factorization parameters were as follows:
n: 7028047078471404241385538249417286890637656454374573587608436511688677005460215314566301659645079212232217122710089340384829
m: 1000000000000000000000000000
deg: 5
c5: 13
c0: 122
skew: 1.56
type: snfs
lss: 1
rlim: 1300000
alim: 1300000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [650000, 1325001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 196084 x 196310
Total sieving time: 3.24 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,136.000,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,48,48,2.3,2.3,75000
total time: 3.37 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 27, 2009 14:00:00 UTC 2009 年 10 月 27 日 (火) 23 時 0 分 0 秒 (日本時間)

65×10138+619

c121

name 名前Erik Branger
date 日付October 30, 2009 06:26:46 UTC 2009 年 10 月 30 日 (金) 15 時 26 分 46 秒 (日本時間)
composite number 合成数
1256865713539729940732436596428989152859916869094343065781795420088325741227881969351681537465013212501751088675568629123<121>
prime factors 素因数
231983952017062808710371389960379972197<39>
5417899396106871046513719119689905295688836403624747656508338369048000425620143559<82>
factorization results 素因数分解の結果
Number: 72229_138
N=1256865713539729940732436596428989152859916869094343065781795420088325741227881969351681537465013212501751088675568629123
  ( 121 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=231983952017062808710371389960379972197 (pp39)
 r2=5417899396106871046513719119689905295688836403624747656508338369048000425620143559 (pp82)
Version: Msieve-1.40
Total time: 5.96 hours.
Scaled time: 5.98 units (timescale=1.003).
Factorization parameters were as follows:
n: 1256865713539729940732436596428989152859916869094343065781795420088325741227881969351681537465013212501751088675568629123
m: 5000000000000000000000000000
deg: 5
c5: 104
c0: 305
skew: 1.24
type: snfs
lss: 1
rlim: 1540000
alim: 1540000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1540000/1540000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [770000, 1670001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 260716 x 260941
Total sieving time: 5.73 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,140.000,5,0,0,0,0,0,0,0,0,1540000,1540000,26,26,48,48,2.3,2.3,100000
total time: 5.96 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 27, 2009 14:00:00 UTC 2009 年 10 月 27 日 (火) 23 時 0 分 0 秒 (日本時間)

65×10145+619

c104

name 名前Sinkiti Sibata
date 日付November 2, 2009 15:15:03 UTC 2009 年 11 月 3 日 (火) 0 時 15 分 3 秒 (日本時間)
composite number 合成数
10016496432375183758196386773471119648443245718603695366814484028016815095305850083133391350851407660273<104>
prime factors 素因数
307612003882533192466162179959890897483<39>
32562111705498173818995270175103940957045285341969951204013230131<65>
factorization results 素因数分解の結果
Number: 72229_145
N=10016496432375183758196386773471119648443245718603695366814484028016815095305850083133391350851407660273
  ( 104 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=307612003882533192466162179959890897483 (pp39)
 r2=32562111705498173818995270175103940957045285341969951204013230131 (pp65)
Version: GGNFS-0.77.1-20060513-k8
Total time: 22.18 hours.
Scaled time: 43.17 units (timescale=1.946).
Factorization parameters were as follows:
name: 72229_145
n: 10016496432375183758196386773471119648443245718603695366814484028016815095305850083133391350851407660273
m: 100000000000000000000000000000
deg: 5
c5: 65
c0: 61
skew: 0.99
type: snfs
lss: 1
rlim: 1960000
alim: 1960000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1960000/1960000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [980000, 2880001)
Primes: RFBsize:146186, AFBsize:146372, largePrimes:4347476 encountered
Relations: rels:4608182, finalFF:371037
Max relations in full relation-set: 28
Initial matrix: 292624 x 371037 with sparse part having weight 43185845.
Pruned matrix : 267079 x 268606 with weight 29445612.
Total sieving time: 20.90 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 1.02 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1960000,1960000,26,26,49,49,2.3,2.3,100000
total time: 22.18 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 27, 2009 14:00:00 UTC 2009 年 10 月 27 日 (火) 23 時 0 分 0 秒 (日本時間)

65×10146+619

c125

name 名前Sinkiti Sibata
date 日付November 3, 2009 08:13:48 UTC 2009 年 11 月 3 日 (火) 17 時 13 分 48 秒 (日本時間)
composite number 合成数
10066808904541668533571069232065787068983770674643590636264735746171829746292917987333185956331229964429434991658630492112663<125>
prime factors 素因数
47645120860270898298448305805449787693979<41>
211287299156290379567438713165594495647746076624871867301330728457195003401075257397<84>
factorization results 素因数分解の結果
Number: 72229_146
N=10066808904541668533571069232065787068983770674643590636264735746171829746292917987333185956331229964429434991658630492112663
  ( 125 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=47645120860270898298448305805449787693979 (pp41)
 r2=211287299156290379567438713165594495647746076624871867301330728457195003401075257397 (pp84)
Version: GGNFS-0.77.1-20060513-k8
Total time: 24.17 hours.
Scaled time: 47.19 units (timescale=1.952).
Factorization parameters were as follows:
name:72229_146
n: 10066808904541668533571069232065787068983770674643590636264735746171829746292917987333185956331229964429434991658630492112663
m: 100000000000000000000000000000
deg: 5
c5: 650
c0: 61
skew: 0.62
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 3100001)
Primes: RFBsize:148933, AFBsize:149176, largePrimes:4471875 encountered
Relations: rels:4823459, finalFF:417038
Max relations in full relation-set: 28
Initial matrix: 298176 x 417038 with sparse part having weight 50282946.
Pruned matrix : 261612 x 263166 with weight 30990463.
Total sieving time: 23.01 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.89 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,147,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,100000
total time: 24.17 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 27, 2009 14:00:00 UTC 2009 年 10 月 27 日 (火) 23 時 0 分 0 秒 (日本時間)

65×10148+619

c115

name 名前Sinkiti Sibata
date 日付November 4, 2009 03:06:16 UTC 2009 年 11 月 4 日 (水) 12 時 6 分 16 秒 (日本時間)
composite number 合成数
2338610079402474063205803718148611082030518374643004494619329802098483811535795841671290368340696296730300622967277<115>
prime factors 素因数
50242177561928748451743732864142031671748151278840517047<56>
46546750019341659505338843132529449656489198973335043828091<59>
factorization results 素因数分解の結果
Number: 72229_148
N=2338610079402474063205803718148611082030518374643004494619329802098483811535795841671290368340696296730300622967277
  ( 115 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=50242177561928748451743732864142031671748151278840517047 (pp56)
 r2=46546750019341659505338843132529449656489198973335043828091 (pp59)
Version: GGNFS-0.77.1-20060513-k8
Total time: 28.48 hours.
Scaled time: 56.48 units (timescale=1.983).
Factorization parameters were as follows:
name: 72229_148
n: 2338610079402474063205803718148611082030518374643004494619329802098483811535795841671290368340696296730300622967277
m: 500000000000000000000000000000
deg: 5
c5: 104
c0: 305
skew: 1.24
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1150000, 2050001)
Primes: RFBsize:169511, AFBsize:169717, largePrimes:7420057 encountered
Relations: rels:7854988, finalFF:832362
Max relations in full relation-set: 28
Initial matrix: 339294 x 832362 with sparse part having weight 97295036.
Pruned matrix : 241666 x 243426 with weight 37932161.
Total sieving time: 26.92 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 1.22 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 28.48 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 27, 2009 14:00:00 UTC 2009 年 10 月 27 日 (火) 23 時 0 分 0 秒 (日本時間)

65×10152+619

c153

name 名前Dmitry Domanov
date 日付October 27, 2009 19:26:47 UTC 2009 年 10 月 28 日 (水) 4 時 26 分 47 秒 (日本時間)
composite number 合成数
240740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740743<153>
prime factors 素因数
31146531695975924298765364037305309<35>
7729295290102686139699794454856781365379879804351612416391812646752847109285668325511683064669740001403032177197768627<118>
factorization results 素因数分解の結果
Factor=31146531695975924298765364037305309  Method=ECM  B1=11000000  Sigma=190775455
software ソフトウェア
ECMNET

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 27, 2009 14:00:00 UTC 2009 年 10 月 27 日 (火) 23 時 0 分 0 秒 (日本時間)

65×10156+619

c142

name 名前Erik Branger
date 日付November 11, 2009 23:03:57 UTC 2009 年 11 月 12 日 (木) 8 時 3 分 57 秒 (日本時間)
composite number 合成数
3141328148055769408108490574107127310905627536310764350258942664672471270571546787474991776204204338886772516964994368059599955681938189802887<142>
prime factors 素因数
605691835518887929525069079127539502706299835330479941<54>
5186347188194532049169964537904314800100966481543495236359524310108165939442379395721307<88>
factorization results 素因数分解の結果
Number: 72229_156
N=3141328148055769408108490574107127310905627536310764350258942664672471270571546787474991776204204338886772516964994368059599955681938189802887
  ( 142 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=605691835518887929525069079127539502706299835330479941 (pp54)
 r2=5186347188194532049169964537904314800100966481543495236359524310108165939442379395721307 (pp88)
Version: Msieve v. 1.43
Total time: 29.78 hours.
Scaled time: 25.49 units (timescale=0.856).
Factorization parameters were as follows:
n: 3141328148055769408108490574107127310905627536310764350258942664672471270571546787474991776204204338886772516964994368059599955681938189802887
m: 10000000000000000000000000000000
deg: 5
c5: 650
c0: 61
skew: 0.62
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, 2800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 628739 x 628971
Total sieving time: 28.49 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.91 hours.
Time per square root: 0.27 hours.
Prototype def-par.txt line would be:
snfs,157.000,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 29.78 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 27, 2009 14:00:00 UTC 2009 年 10 月 27 日 (火) 23 時 0 分 0 秒 (日本時間)

65×10157+619

c101

name 名前Dmitry Domanov
date 日付October 29, 2009 18:51:56 UTC 2009 年 10 月 30 日 (金) 3 時 51 分 56 秒 (日本時間)
composite number 合成数
49926192047967097030608276609867645116088896365617729035992426846122079146222535243827882930586030817<101>
prime factors 素因数
70655337767515623403718126937284154445695756983599<50>
706615998528579354350895287081083417163425558047983<51>
factorization results 素因数分解の結果
Number: g101
N=49926192047967097030608276609867645116088896365617729035992426846122079146222535243827882930586030817
  ( 101 digits)
Divisors found:
 r1=70655337767515623403718126937284154445695756983599 (pp50)
 r2=706615998528579354350895287081083417163425558047983 (pp51)
Version: Msieve-1.40
Total time: 4.53 hours.
Scaled time: 8.43 units (timescale=1.860).
Factorization parameters were as follows:
name: g101
n: 49926192047967097030608276609867645116088896365617729035992426846122079146222535243827882930586030817
skew: 1704.10
# norm 3.47e+013
c5: 755040
c4: -778190204
c3: -4882519895824
c2: 9111802450446
c1: -4465344687580793315
c0: 612530740196218749242
# alpha -5.35
Y1: 11385808801
Y0: -9206017737240624105
# Murphy_E 3.21e-009
# M 42391844600785429460091656032734960392745250527381026440482151276186691213655918782772522577390152249
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 182786 x 183011
Polynomial selection time: 0.43 hours.
Total sieving time: 3.77 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
gnfs,100,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 4.53 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6150Lionel DebrouxOctober 27, 2009 14:00:00 UTC 2009 年 10 月 27 日 (火) 23 時 0 分 0 秒 (日本時間)
403e62310Wataru SakaiOctober 29, 2009 07:35:33 UTC 2009 年 10 月 29 日 (木) 16 時 35 分 33 秒 (日本時間)

65×10159+619

c115

name 名前Jo Yeong Uk
date 日付November 12, 2009 04:27:46 UTC 2009 年 11 月 12 日 (木) 13 時 27 分 46 秒 (日本時間)
composite number 合成数
4406761227014383772744992246241231961679312963933611928862215622302455615422271185419516893972781051599907087151129<115>
prime factors 素因数
96383262843725875562456351579696025282506312998383983<53>
45721228945729185309354981526914135704408442080201681269449463<62>
factorization results 素因数分解の結果
Number: 72229_159
N=4406761227014383772744992246241231961679312963933611928862215622302455615422271185419516893972781051599907087151129
  ( 115 digits)
Divisors found:
 r1=96383262843725875562456351579696025282506312998383983
 r2=45721228945729185309354981526914135704408442080201681269449463
Version: 
Total time: 15.08 hours.
Scaled time: 36.03 units (timescale=2.389).
Factorization parameters were as follows:
name: 72229_159
n: 4406761227014383772744992246241231961679312963933611928862215622302455615422271185419516893972781051599907087151129
skew: 17359.92
# norm 2.35e+15
c5: 36540
c4: 5231062026
c3: -130362871646254
c2: -1226930863844106788
c1: 8425729364406378361539
c0: 53716536162268136384847162
# alpha -5.10
Y1: 159695469967
Y0: -10381736553568680581705
# Murphy_E 5.72e-10
# M 827678952077618632955342287148713937231119215230854811599520325539777306026637345719092699824163303916063189669290
type: gnfs
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.6
alambda: 2.6
qintsize: 70000
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [1400000, 2450001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9155069
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 523806 x 524054
Polynomial selection time: 1.34 hours.
Total sieving time: 12.38 hours.
Total relation processing time: 0.67 hours.
Matrix solve time: 0.58 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
gnfs,114,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2800000,2800000,27,27,52,52,2.6,2.6,70000
total time: 15.08 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6150Lionel DebrouxOctober 27, 2009 14:00:00 UTC 2009 年 10 月 27 日 (火) 23 時 0 分 0 秒 (日本時間)
403e62310Wataru SakaiOctober 29, 2009 08:40:59 UTC 2009 年 10 月 29 日 (木) 17 時 40 分 59 秒 (日本時間)

65×10162+619

c140

name 名前Jo Yeong Uk
date 日付November 18, 2009 09:49:05 UTC 2009 年 11 月 18 日 (水) 18 時 49 分 5 秒 (日本時間)
composite number 合成数
59393990631274162535471601057877005972838099309322799817876122604451444243295438344356023518048699407876740752099950221084230446649917407353<140>
prime factors 素因数
13579168028242955813092310115106577<35>
4373904977664475284540946690165627879231370447085692210555464579063477417774709742461792175457447644986089<106>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.3.1] [ECM]
Input number is 59393990631274162535471601057877005972838099309322799817876122604451444243295438344356023518048699407876740752099950221084230446649917407353 (140 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4563230118
Step 1 took 3998ms
********** Factor found in step 1: 13579168028242955813092310115106577
Found probable prime factor of 35 digits: 13579168028242955813092310115106577
Probable prime cofactor 4373904977664475284540946690165627879231370447085692210555464579063477417774709742461792175457447644986089 has 106 digits
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 27, 2009 14:00:00 UTC 2009 年 10 月 27 日 (火) 23 時 0 分 0 秒 (日本時間)

65×10164+619

c151

name 名前Jo Yeong Uk
date 日付November 28, 2009 23:41:54 UTC 2009 年 11 月 29 日 (日) 8 時 41 分 54 秒 (日本時間)
composite number 合成数
1602718644584274818803163723477909962133415966700972038765533352034751949940452264830643947910679050139435670063108805415833738405346671012673616073091<151>
prime factors 素因数
1097127491350443004053837025887267310248050259027019551554425722997887106267<76>
1460831723951703039628220676876044203673473878553552062390817891003524106873<76>
factorization results 素因数分解の結果
Number: 72229_164
N=1602718644584274818803163723477909962133415966700972038765533352034751949940452264830643947910679050139435670063108805415833738405346671012673616073091
  ( 151 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=1097127491350443004053837025887267310248050259027019551554425722997887106267
 r2=1460831723951703039628220676876044203673473878553552062390817891003524106873
Version: 
Total time: 28.82 hours.
Scaled time: 68.70 units (timescale=2.384).
Factorization parameters were as follows:
n: 1602718644584274818803163723477909962133415966700972038765533352034751949940452264830643947910679050139435670063108805415833738405346671012673616073091
m: 1000000000000000000000000000000000
deg: 5
c5: 13
c0: 122
skew: 1.56
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2200000, 4600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 10149598
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 782891 x 783139
Total sieving time: 26.18 hours.
Total relation processing time: 1.18 hours.
Matrix solve time: 1.37 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,51,51,2.4,2.4,100000
total time: 28.82 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673792)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672346)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672338)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672382)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6150Lionel DebrouxOctober 27, 2009 14:00:00 UTC 2009 年 10 月 27 日 (火) 23 時 0 分 0 秒 (日本時間)
403e62310Wataru SakaiNovember 6, 2009 06:14:39 UTC 2009 年 11 月 6 日 (金) 15 時 14 分 39 秒 (日本時間)

65×10166+619

c124

name 名前Sinkiti Sibata
date 日付December 23, 2009 05:07:17 UTC 2009 年 12 月 23 日 (水) 14 時 7 分 17 秒 (日本時間)
composite number 合成数
1389987581723173895596548377609939173843736140303008202201819784338719027287887136391659956712211103906587187700701876403461<124>
prime factors 素因数
21177806111690930656883533457082414880466382692793184597<56>
65634163160831350012251236459552088191190938657828797749306617552113<68>
factorization results 素因数分解の結果
Number: 72229_166
N=1389987581723173895596548377609939173843736140303008202201819784338719027287887136391659956712211103906587187700701876403461
  ( 124 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=21177806111690930656883533457082414880466382692793184597 (pp56)
 r2=65634163160831350012251236459552088191190938657828797749306617552113 (pp68)
Version: Msieve-1.40
Total time: 52.43 hours.
Scaled time: 174.18 units (timescale=3.322).
Factorization parameters were as follows:
name:72229_166
n: 1389987581723173895596548377609939173843736140303008202201819784338719027287887136391659956712211103906587187700701876403461
m: 1000000000000000000000000000000000
deg: 5
c5: 650
c0: 61
skew: 0.62
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2200000, 5000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 858499 x 858747
Total sieving time: 50.86 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.40 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,167.000,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,51,51,2.4,2.4,100000
total time: 52.43 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6150Lionel DebrouxOctober 27, 2009 14:00:00 UTC 2009 年 10 月 27 日 (火) 23 時 0 分 0 秒 (日本時間)
403e62310Wataru SakaiNovember 6, 2009 06:14:13 UTC 2009 年 11 月 6 日 (金) 15 時 14 分 13 秒 (日本時間)

65×10167+619

c137

name 名前Wataru Sakai
date 日付November 18, 2009 04:14:01 UTC 2009 年 11 月 18 日 (水) 13 時 14 分 1 秒 (日本時間)
composite number 合成数
32754562939825876347727176206481686896729165656220718924811323667605086741032168902839966651336658606370420891088370315953153085251960807<137>
prime factors 素因数
6731034634722746219253576990142331<34>
composite cofactor 合成数の残り
4866200326894477313327351434330702713602820686731038277709376544750901688090575230106979546318423633797<103>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2647962607
Step 1 took 42548ms
Step 2 took 14762ms
********** Factor found in step 2: 6731034634722746219253576990142331
Found probable prime factor of 34 digits: 6731034634722746219253576990142331
Composite cofactor 4866200326894477313327351434330702713602820686731038277709376544750901688090575230106979546318423633797 has 103 digits
software ソフトウェア
GMP-ECM 6.2.1

c103

name 名前Dmitry Domanov
date 日付November 19, 2009 13:32:44 UTC 2009 年 11 月 19 日 (木) 22 時 32 分 44 秒 (日本時間)
composite number 合成数
4866200326894477313327351434330702713602820686731038277709376544750901688090575230106979546318423633797<103>
prime factors 素因数
43887433213139645955484994448382146047239<41>
110879128047013805011879885468739184560992940355555347685320723<63>
factorization results 素因数分解の結果
N=4866200326894477313327351434330702713602820686731038277709376544750901688090575230106979546318423633797
  ( 103 digits)
Divisors found:
 r1=43887433213139645955484994448382146047239 (pp41)
 r2=110879128047013805011879885468739184560992940355555347685320723 (pp63)
Version: Msieve-1.40
Total time: 6.11 hours.
Scaled time: 11.18 units (timescale=1.829).
Factorization parameters were as follows:
name: gg103
n: 4866200326894477313327351434330702713602820686731038277709376544750901688090575230106979546318423633797
skew: 3105.38
# norm 1.91e+014
c5: 1392300
c4: 5986291355
c3: -32719573776586
c2: -35617074683990928
c1: 196103299995263016226
c0: -71023059451757055174092
# alpha -6.16
Y1: 84365831159
Y0: -20355880109292170055
# Murphy_E 2.38e-009
# M 1588861051919919182070347774998276303263568046023222671646578452552654468614274410016547985992962233523
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 220234 x 220457
Polynomial selection time: 0.56 hours.
Total sieving time: 5.26 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
gnfs,102,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 6.11 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 27, 2009 14:00:00 UTC 2009 年 10 月 27 日 (火) 23 時 0 分 0 秒 (日本時間)

65×10168+619

c152

name 名前Erik Branger
date 日付November 24, 2009 06:29:57 UTC 2009 年 11 月 24 日 (火) 15 時 29 分 57 秒 (日本時間)
composite number 合成数
70186690187322848534813391255912423242710432254098754707341062929635389927685614871669166935399377870972333874531367371664986282656059306612965115651747<152>
prime factors 素因数
16686719216640258914430547376206697539119714819396999595221215196753619<71>
4206140780347737673879122417993167985752911241206637624428896147475792512758851313<82>
factorization results 素因数分解の結果
Number: 72229_168
N=70186690187322848534813391255912423242710432254098754707341062929635389927685614871669166935399377870972333874531367371664986282656059306612965115651747
  ( 152 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=16686719216640258914430547376206697539119714819396999595221215196753619 (pp71)
 r2=4206140780347737673879122417993167985752911241206637624428896147475792512758851313 (pp82)
Version: Msieve v. 1.43
Total time: 123.43 hours.
Scaled time: 97.51 units (timescale=0.790).
Factorization parameters were as follows:
n: 70186690187322848534813391255912423242710432254098754707341062929635389927685614871669166935399377870972333874531367371664986282656059306612965115651747
m: 5000000000000000000000000000000000
deg: 5
c5: 104
c0: 305
skew: 1.24
type: snfs
lss: 1
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2450000, 5650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 952088 x 952313
Total sieving time: 116.58 hours.
Total relation processing time: 0.39 hours.
Matrix solve time: 5.86 hours.
Time per square root: 0.60 hours.
Prototype def-par.txt line would be:
snfs,170.000,5,0,0,0,0,0,0,0,0,4900000,4900000,27,27,52,52,2.4,2.4,100000
total time: 123.43 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6150Lionel DebrouxOctober 27, 2009 14:00:00 UTC 2009 年 10 月 27 日 (火) 23 時 0 分 0 秒 (日本時間)
403e62310Wataru SakaiNovember 18, 2009 15:15:53 UTC 2009 年 11 月 19 日 (木) 0 時 15 分 53 秒 (日本時間)

65×10170+619

c105

name 名前shyguy7129
date 日付November 8, 2009 04:32:15 UTC 2009 年 11 月 8 日 (日) 13 時 32 分 15 秒 (日本時間)
composite number 合成数
248793638703559462811024537742910133006111369698373954144678461344908746356065631383501263120031326892011<105>
prime factors 素因数
21971222154598869664832900623562106017<38>
11323613996205652033225521245915447835096235974204481742262021487883<68>
factorization results 素因数分解の結果
Yes! My first submitted factors! :D

Number: 72229_170
N=248793638703559462811024537742910133006111369698373954144678461344908746356065631383501263120031326892011
  ( 105 digits)
Divisors found:
 r1=21971222154598869664832900623562106017 (pp38)
 r2=11323613996205652033225521245915447835096235974204481742262021487883 (pp68)
Version: Msieve-1.40
Total time: 21.65 hours.
Scaled time: 38.56 units (timescale=1.781).
Factorization parameters were as follows:
name: 72229_170
n: 248793638703559462811024537742910133006111369698373954144678461344908746356065631383501263120031326892011
skew: 60992.32
# norm 3.41e+014
c5: 960
c4: 182155542
c3: -5698389781438
c2: -468425103552598334
c1: 10463967835739232401989
c0: -997954568530928284717567
# alpha -5.04
Y1: 30184793243
Y0: -191739245141787164928
# Murphy_E 1.68e-009
# M 14245238078513029591920117460774843530496924943504703352168798349066508904664795693381848673546224366040
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 2
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 282011 x 282259
Total sieving time: 21.07 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.41 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,104,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 21.65 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS and Msieve v1.40 
execution environment 実行環境
I used Windows Vista and Cygwin for GGNFS and Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6723 / 904150Lionel DebrouxOctober 27, 2009 14:00:00 UTC 2009 年 10 月 27 日 (火) 23 時 0 分 0 秒 (日本時間)
167juno1369October 31, 2009 23:43:18 UTC 2009 年 11 月 1 日 (日) 8 時 43 分 18 秒 (日本時間)
406shyguy7129November 1, 2009 00:30:41 UTC 2009 年 11 月 1 日 (日) 9 時 30 分 41 秒 (日本時間)

65×10171+619

c154

name 名前Dmitry Domanov
date 日付November 22, 2009 17:07:25 UTC 2009 年 11 月 23 日 (月) 2 時 7 分 25 秒 (日本時間)
composite number 合成数
4106854903858073201452370005511676455386401766822061046286713516173477757049255186173067870373727915218412901912589429956254663708513559587217772280445177<154>
prime factors 素因数
5341730797111883898281272847651922239<37>
768824761082780205497364438889436595941143966789197894042997226025202898341403395396514044299198931236559010774835143<117>
factorization results 素因数分解の結果
Factor=5341730797111883898281272847651922239  Method=ECM  B1=11000000  Sigma=3634509346
software ソフトウェア
ECMNET

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 27, 2009 14:00:00 UTC 2009 年 10 月 27 日 (火) 23 時 0 分 0 秒 (日本時間)

65×10172+619

c132

name 名前Sinkiti Sibata
date 日付March 29, 2010 11:54:51 UTC 2010 年 3 月 29 日 (月) 20 時 54 分 51 秒 (日本時間)
composite number 合成数
159342051643700955632722802405399878243230697269762585630457577220336222141042732455878118983704399732526111493211120036336681532441<132>
prime factors 素因数
20229089525636907285074689386136671638669967597841<50>
7876877080491546009731739830098612428868863054695216276802400223593429965420030601<82>
factorization results 素因数分解の結果
Number: 72229_172
N=159342051643700955632722802405399878243230697269762585630457577220336222141042732455878118983704399732526111493211120036336681532441
  ( 132 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=20229089525636907285074689386136671638669967597841 (pp50)
 r2=7876877080491546009731739830098612428868863054695216276802400223593429965420030601 (pp82)
Version: Msieve-1.40
Total time: 127.45 hours.
Scaled time: 353.67 units (timescale=2.775).
Factorization parameters were as follows:
name: 72229_172
n: 159342051643700955632722802405399878243230697269762585630457577220336222141042732455878118983704399732526111493211120036336681532441
m: 10000000000000000000000000000000000
deg: 5
c5: 6500
c0: 61
skew: 0.39
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2750000, 7350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1089505 x 1089753
Total sieving time: 124.45 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 2.60 hours.
Time per square root: 0.27 hours.
Prototype def-par.txt line would be:
snfs,173.000,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
total time: 127.45 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6150Lionel DebrouxOctober 27, 2009 14:00:00 UTC 2009 年 10 月 27 日 (火) 23 時 0 分 0 秒 (日本時間)
403e62310Wataru SakaiDecember 9, 2009 04:24:24 UTC 2009 年 12 月 9 日 (水) 13 時 24 分 24 秒 (日本時間)

65×10174+619

c130

name 名前Warut Roonguthai
date 日付October 3, 2011 02:35:52 UTC 2011 年 10 月 3 日 (月) 11 時 35 分 52 秒 (日本時間)
composite number 合成数
2323649987069910592795636341074804972989111742399258388474849846395278728410984958683734006972087561789715258518521796966773896297<130>
prime factors 素因数
943350049493828286719405859974153084055683816556637<51>
2463189553354777973618685618514863888606569068570222948950978000202156899085181<79>
factorization results 素因数分解の結果
N = 2323649987069910592795636341074804972989111742399258388474849846395278728410984958683734006972087561789715258518521796966773896297 (130 digits)
SNFS difficulty: 176 digits.
Divisors found:
r1=943350049493828286719405859974153084055683816556637 (pp51)
r2=2463189553354777973618685618514863888606569068570222948950978000202156899085181 (pp79)
Version: Msieve v. 1.47
Total time: 39.81 hours.
Factorization parameters were as follows:
name: (65*10^174+61)/9
n: 2323649987069910592795636341074804972989111742399258388474849846395278728410984958683734006972087561789715258518521796966773896297
Y0: 50000000000000000000000000000000000
Y1: -1
c0: 61
c1: 0
c2: 0
c3: 0
c4: 0
c5: 208
skew: 0.78
type: snfs
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 20563284
Relations: 2625028 relations
Pruned matrix : 1479356 x 1479581
Polynomial selection time: 0.00 hours.
Total sieving time: 34.56 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 5.01 hours.
time per square root: 0.09 hours.
Prototype def-par.txt line would be: snfs,176,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,55,55,2.5,2.5,100000
total time: 39.81 hours.
Intel64 Family 6 Model 37 Stepping 5, GenuineIntel
Windows-7-6.1.7600
processors: 4, speed: 2.53GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxOctober 27, 2009 14:00:00 UTC 2009 年 10 月 27 日 (火) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 9, 2010 21:38:28 UTC 2010 年 6 月 10 日 (木) 6 時 38 分 28 秒 (日本時間)
403e62117110Ignacio SantosJune 9, 2010 21:38:28 UTC 2010 年 6 月 10 日 (木) 6 時 38 分 28 秒 (日本時間)
2007Wataru SakaiJune 18, 2010 05:32:13 UTC 2010 年 6 月 18 日 (金) 14 時 32 分 13 秒 (日本時間)
4511e632 / 3992Ignacio SantosJune 9, 2010 21:38:28 UTC 2010 年 6 月 10 日 (木) 6 時 38 分 28 秒 (日本時間)

65×10175+619

c141

name 名前Warut Roonguthai
date 日付September 15, 2011 15:28:28 UTC 2011 年 9 月 16 日 (金) 0 時 28 分 28 秒 (日本時間)
composite number 合成数
126868824188125085812400175114179042033925883789018869741238519031662980656147301076883670096273907097413567633820547851969815059048312525487<141>
prime factors 素因数
678030014919728169671955085918907288049079609252741<51>
187113876076924203901017357076208010726708731433425691126753964120368200129007181995174307<90>
factorization results 素因数分解の結果
N = 126868824188125085812400175114179042033925883789018869741238519031662980656147301076883670096273907097413567633820547851969815059048312525487 (141 digits)
SNFS difficulty: 177 digits.
Divisors found:
r1=678030014919728169671955085918907288049079609252741 (pp51)
r2=187113876076924203901017357076208010726708731433425691126753964120368200129007181995174307 (pp90)
Version: Msieve v. 1.48
Total time: 41.98 hours.
Factorization parameters were as follows:
name: (65*10^175+61)/9
n: 126868824188125085812400175114179042033925883789018869741238519031662980656147301076883670096273907097413567633820547851969815059048312525487
Y0: 100000000000000000000000000000000000
Y1: -1
c0: 61
c1: 0
c2: 0
c3: 0
c4: 0
c5: 65
skew: 0.99
type: snfs
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 21090477
Relations: 2724764 relations
Pruned matrix : 1549869 x 1550094
Polynomial selection time: 0.00 hours.
Total sieving time: 38.53 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 3.24 hours.
time per square root: 0.07 hours.
Prototype def-par.txt line would be: snfs,177,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,55,55,2.5,2.5,100000
total time: 41.98 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxOctober 27, 2009 14:00:00 UTC 2009 年 10 月 27 日 (火) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 22, 2011 18:12:29 UTC 2011 年 5 月 23 日 (月) 3 時 12 分 29 秒 (日本時間)
403e6110Ignacio SantosMay 22, 2011 18:12:29 UTC 2011 年 5 月 23 日 (月) 3 時 12 分 29 秒 (日本時間)
4511e6463232Ignacio SantosMay 22, 2011 18:12:29 UTC 2011 年 5 月 23 日 (月) 3 時 12 分 29 秒 (日本時間)
600Erik BrangerAugust 12, 2011 16:06:59 UTC 2011 年 8 月 13 日 (土) 1 時 6 分 59 秒 (日本時間)
4000Wataru SakaiAugust 19, 2011 06:38:57 UTC 2011 年 8 月 19 日 (金) 15 時 38 分 57 秒 (日本時間)

65×10177+619

c158

name 名前Rich Dickerson
date 日付February 5, 2012 21:13:36 UTC 2012 年 2 月 6 日 (月) 6 時 13 分 36 秒 (日本時間)
composite number 合成数
12844265956410452089816224512957929179950225333208019633006137275985713587921485614813212234659914861688803549343451095802129427236720199462054885913621037123<158>
prime factors 素因数
46794219827829603109982698334690704615207<41>
274484028234010015998481090067126241659820556171044622514429812496761167516504993676502320093524704887514509581709189<117>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4164420353
Step 1 took 26583ms
Step 2 took 9629ms
********** Factor found in step 2: 46794219827829603109982698334690704615207
Found probable prime factor of 41 digits: 46794219827829603109982698334690704615207
Probable prime cofactor 274484028234010015998481090067126241659820556171044622514429812496761167516504993676502320093524704887514509581709189 has 117 digits
software ソフトウェア
GMP-ECM 6.3 [configured with GMP 5.0.2 and --enable-asm-redc] [ECM]
execution environment 実行環境
Core i5, 3.3 GHz, openSUSE

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxOctober 27, 2009 14:00:00 UTC 2009 年 10 月 27 日 (火) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 22, 2011 19:28:00 UTC 2011 年 5 月 23 日 (月) 4 時 28 分 0 秒 (日本時間)
403e6110 / 2117Ignacio SantosMay 22, 2011 19:28:00 UTC 2011 年 5 月 23 日 (月) 4 時 28 分 0 秒 (日本時間)
4511e632 / 4435Ignacio SantosMay 22, 2011 19:28:00 UTC 2011 年 5 月 23 日 (月) 4 時 28 分 0 秒 (日本時間)

65×10178+619

c135

name 名前Robert Backstrom
date 日付June 6, 2012 04:32:25 UTC 2012 年 6 月 6 日 (水) 13 時 32 分 25 秒 (日本時間)
composite number 合成数
504050375031783141994670447961617256051695633347279898302420862858388777885881329325182788223277642761968583500080845056074296779172889<135>
prime factors 素因数
248150532616429480623693845616297572621111878102716739006826396141<66>
2031228261802292487302484853338377839109325210743533669120709279892829<70>
factorization results 素因数分解の結果
Number: n
N=504050375031783141994670447961617256051695633347279898302420862858388777885881329325182788223277642761968583500080845056074296779172889
  ( 135 digits)
Divisors found:

Wed Jun  6 14:27:59 2012  prp66 factor: 248150532616429480623693845616297572621111878102716739006826396141
Wed Jun  6 14:27:59 2012  prp70 factor: 2031228261802292487302484853338377839109325210743533669120709279892829
Wed Jun  6 14:27:59 2012  elapsed time 04:07:31 (Msieve 1.44 - dependency 3)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.072).
Factorization parameters were as follows:
name: KA_72229_178
n: 504050375031783141994670447961617256051695633347279898302420862858388777885881329325182788223277642761968583500080845056074296779172889
skew: 358085.73
# norm 9.67e+18
c5: 134700
c4: -125471393820
c3: -36013317197896171
c2: -18113076965940592891543
c1: 932593197346312780969398803
c0: 226492120282168807608066508099935
# alpha -6.59
Y1: 143449800864689
Y0: -82152618509863332241753258
# Murphy_E 3.82e-11
# M 336896546299392741566833545662509778769302491180826297402322344626496839588694794965659734315976462160724841762760287339138382292872316
type: gnfs
rlim: 15000000
alim: 15000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 60000
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 13260000)
Primes: RFBsize:970704, AFBsize:970390,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 2492369 hash collisions in 25002585 relations (23412372 unique)
Msieve: matrix is 1436691 x 1436917 (415.3 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,134,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,15000000,15000000,28,28,55,55,2.5,2.5,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxOctober 27, 2009 14:00:00 UTC 2009 年 10 月 27 日 (火) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 22, 2011 20:32:40 UTC 2011 年 5 月 23 日 (月) 5 時 32 分 40 秒 (日本時間)
403e6880110Ignacio SantosMay 22, 2011 20:32:40 UTC 2011 年 5 月 23 日 (月) 5 時 32 分 40 秒 (日本時間)
770Ignacio SantosJuly 19, 2011 08:10:57 UTC 2011 年 7 月 19 日 (火) 17 時 10 分 57 秒 (日本時間)
4511e6252 / 405132Ignacio SantosMay 22, 2011 20:32:40 UTC 2011 年 5 月 23 日 (月) 5 時 32 分 40 秒 (日本時間)
220Ignacio SantosJuly 19, 2011 08:10:57 UTC 2011 年 7 月 19 日 (火) 17 時 10 分 57 秒 (日本時間)
5043e661 / 7461Ignacio SantosJuly 19, 2011 08:10:57 UTC 2011 年 7 月 19 日 (火) 17 時 10 分 57 秒 (日本時間)

65×10179+619

c107

name 名前Jo Yeong Uk
date 日付November 3, 2009 21:48:31 UTC 2009 年 11 月 4 日 (水) 6 時 48 分 31 秒 (日本時間)
composite number 合成数
21330588485328361158875002080392748528233289527820690150638446324869293334374003458821833553113928414838339<107>
prime factors 素因数
21317743601667445804930194324444375759367676750060383<53>
1000602544242060901983833714061031406596803672213547933<55>
factorization results 素因数分解の結果
Number: 72229_179
N=21330588485328361158875002080392748528233289527820690150638446324869293334374003458821833553113928414838339
  ( 107 digits)
Divisors found:
 r1=21317743601667445804930194324444375759367676750060383
 r2=1000602544242060901983833714061031406596803672213547933
Version: 
Total time: 5.92 hours.
Scaled time: 14.12 units (timescale=2.384).
Factorization parameters were as follows:
name: 72229_179
n: 21330588485328361158875002080392748528233289527820690150638446324869293334374003458821833553113928414838339
skew: 9489.31
# norm 3.74e+14
c5: 83520
c4: -436405264
c3: -43730910773101
c2: 49262942741116958
c1: 1251380323824997943208
c0: 1910004788418672326199040
# alpha -5.50
Y1: 141394237039
Y0: -191180153518733060139
# Murphy_E 1.54e-09
# M 1630275644399714633370982263982210328654134408964574373092281722022933840800618587339707463745250196639887
type: gnfs
rlim: 2000000
alim: 2000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1000000, 1950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 7190161
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 325405 x 325653
Polynomial selection time: 0.48 hours.
Total sieving time: 4.47 hours.
Total relation processing time: 0.62 hours.
Matrix solve time: 0.23 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2000000,2000000,27,27,50,50,2.6,2.6,50000
total time: 5.92 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904150Lionel DebrouxOctober 27, 2009 14:00:00 UTC 2009 年 10 月 27 日 (火) 23 時 0 分 0 秒 (日本時間)
754Jo Yeong UkNovember 3, 2009 15:56:06 UTC 2009 年 11 月 4 日 (水) 0 時 56 分 6 秒 (日本時間)

65×10181+619

c146

name 名前Dmitry Domanov
date 日付January 13, 2014 08:09:55 UTC 2014 年 1 月 13 日 (月) 17 時 9 分 55 秒 (日本時間)
composite number 合成数
87215685656408949601618301756123775703621505692561026790044713257625638729620648912887669740757577925065028871165201044694869347589707983122114189<146>
prime factors 素因数
3436065724353351835629251878095797800381715099<46>
25382426488021398105640948932562976976134186798891403065972155123806647908024229800258916373879441911<101>
factorization results 素因数分解の結果
N=87215685656408949601618301756123775703621505692561026790044713257625638729620648912887669740757577925065028871165201044694869347589707983122114189
  ( 146 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=3436065724353351835629251878095797800381715099 (pp46)
 r2=25382426488021398105640948932562976976134186798891403065972155123806647908024229800258916373879441911 (pp101)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 168.68 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 87215685656408949601618301756123775703621505692561026790044713257625638729620648912887669740757577925065028871165201044694869347589707983122114189
m: 1000000000000000000000000000000000000
deg: 5
c5: 650
c0: 61
skew: 0.62
# Murphy_E = 6.402e-11
type: snfs
lss: 1
rlim: 7800000
alim: 7800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7800000/7800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3900000, 12300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1643890 x 1644120
Total sieving time: 165.67 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 2.59 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,182.000,5,0,0,0,0,0,0,0,0,7800000,7800000,28,28,53,53,2.5,2.5,100000
total time: 168.68 hours.
 --------- CPU info (if available) ----------
[    0.074309] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000)
[    0.707507] Total of 16 processors activated (76799.07 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxOctober 27, 2009 14:00:00 UTC 2009 年 10 月 27 日 (火) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 22, 2011 21:43:54 UTC 2011 年 5 月 23 日 (月) 6 時 43 分 54 秒 (日本時間)
403e6110Ignacio SantosMay 22, 2011 21:43:54 UTC 2011 年 5 月 23 日 (月) 6 時 43 分 54 秒 (日本時間)
4511e61182 / 385132Ignacio SantosMay 22, 2011 21:43:54 UTC 2011 年 5 月 23 日 (月) 6 時 43 分 54 秒 (日本時間)
300Rich DickersonJune 16, 2013 22:17:31 UTC 2013 年 6 月 17 日 (月) 7 時 17 分 31 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:06:08 UTC 2013 年 11 月 9 日 (土) 2 時 6 分 8 秒 (日本時間)
5043e6100 / 7204Rich DickersonJune 16, 2013 23:46:24 UTC 2013 年 6 月 17 日 (月) 8 時 46 分 24 秒 (日本時間)
5511e732 / 17659Rich DickersonJune 17, 2013 00:49:03 UTC 2013 年 6 月 17 日 (月) 9 時 49 分 3 秒 (日本時間)

65×10182+619

c149

name 名前Dmitry Domanov
date 日付January 28, 2014 07:14:42 UTC 2014 年 1 月 28 日 (火) 16 時 14 分 42 秒 (日本時間)
composite number 合成数
14866050047667903281526977706588484519306058950395520804908632132768747477900234246407285429503711676977009325789212043285713843439323687201988453489<149>
prime factors 素因数
13266441787761903195447335909476417925681449<44>
18811526618170032489031654026368795056561466546028269<53>
59568558868656818379280633225429665525453232784582669<53>
factorization results 素因数分解の結果
N=14866050047667903281526977706588484519306058950395520804908632132768747477900234246407285429503711676977009325789212043285713843439323687201988453489
  ( 149 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=13266441787761903195447335909476417925681449 (pp44)
 r2=18811526618170032489031654026368795056561466546028269 (pp53)
 r3=59568558868656818379280633225429665525453232784582669 (pp53)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 182.57 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 14866050047667903281526977706588484519306058950395520804908632132768747477900234246407285429503711676977009325789212043285713843439323687201988453489
m: 1000000000000000000000000000000000000
deg: 5
c5: 6500
c0: 61
skew: 0.39
# Murphy_E = 5.648e-11
type: snfs
lss: 1
rlim: 8100000
alim: 8100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 8100000/8100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4050000, 13050001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1715567 x 1715793
Total sieving time: 179.10 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 2.79 hours.
Time per square root: 0.46 hours.
Prototype def-par.txt line would be:
snfs,183.000,5,0,0,0,0,0,0,0,0,8100000,8100000,28,28,53,53,2.5,2.5,100000
total time: 182.57 hours.
 --------- CPU info (if available) ----------
[    0.074309] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000)
[    0.707507] Total of 16 processors activated (76799.07 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxOctober 27, 2009 14:00:00 UTC 2009 年 10 月 27 日 (火) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 22, 2011 22:16:03 UTC 2011 年 5 月 23 日 (月) 7 時 16 分 3 秒 (日本時間)
403e6110Ignacio SantosMay 22, 2011 22:16:03 UTC 2011 年 5 月 23 日 (月) 7 時 16 分 3 秒 (日本時間)
4511e61572 / 443532Ignacio SantosMay 22, 2011 22:16:03 UTC 2011 年 5 月 23 日 (月) 7 時 16 分 3 秒 (日本時間)
230Ignacio SantosOctober 18, 2013 15:27:34 UTC 2013 年 10 月 19 日 (土) 0 時 27 分 34 秒 (日本時間)
230Ignacio SantosOctober 19, 2013 20:36:29 UTC 2013 年 10 月 20 日 (日) 5 時 36 分 29 秒 (日本時間)
230Ignacio SantosOctober 20, 2013 12:47:11 UTC 2013 年 10 月 20 日 (日) 21 時 47 分 11 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:06:29 UTC 2013 年 11 月 9 日 (土) 2 時 6 分 29 秒 (日本時間)

65×10183+619

c170

name 名前matsui
date 日付September 10, 2010 11:14:11 UTC 2010 年 9 月 10 日 (金) 20 時 14 分 11 秒 (日本時間)
composite number 合成数
98033794143114149620657862589090155042731025158852580230130201605100613735945180489076756753142350360882488990779269829185363102989897041627679221938893509447373930901867<170>
prime factors 素因数
3018116892990222312427879083847859<34>
8098873007486925526687896683096144966949175439753486933<55>
4010653713153077654842412788052927985884986926552047615247622132579791688893073861<82>
factorization results 素因数分解の結果
N=98033794143114149620657862589090155042731025158852580230130201605100613735945180489076756753142350360882488990779269829185363102989897041627679221938893509447373930901867
  ( 170 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=3018116892990222312427879083847859 (pp34)
 r2=8098873007486925526687896683096144966949175439753486933 (pp55)
 r3=4010653713153077654842412788052927985884986926552047615247622132579791688893073861 (pp82)
Version: Msieve v. 1.47
Total time:
Scaled time: 37.81 units (timescale=1.155).
Factorization parameters were as follows:
n: 98033794143114149620657862589090155042731025158852580230130201605100613735945180489076756753142350360882488990779269829185363102989897041627679221938893509447373930901867
m: 1000000000000000000000000000000000000
deg: 5
c5: 65000
c0: 61
skew: 0.25
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 14600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1917559 x 1917784
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,184.000,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 27, 2009 14:00:00 UTC 2009 年 10 月 27 日 (火) 23 時 0 分 0 秒 (日本時間)

65×10184+619

c185

name 名前Dmitry Domanov
date 日付November 10, 2009 07:02:46 UTC 2009 年 11 月 10 日 (火) 16 時 2 分 46 秒 (日本時間)
composite number 合成数
72222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229<185>
prime factors 素因数
7416636363322081411734736677307481195492064107754843900863362332033982448906537<79>
9737867502765395606014252796988801940512562554168295027040851239051448736911790559819965758531428016050317<106>
factorization results 素因数分解の結果
Number: s185
N=72222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229
  ( 185 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=7416636363322081411734736677307481195492064107754843900863362332033982448906537 (pp79)
 r2=9737867502765395606014252796988801940512562554168295027040851239051448736911790559819965758531428016050317 (pp106)
Version: Msieve-1.40
Total time: 356.27 hours.
Scaled time: 332.76 units (timescale=0.934).
Factorization parameters were as follows:
n: 72222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229
m: 10000000000000000000000000000000000000
deg: 5
c5: 13
c0: 122
skew: 1.56
type: snfs
lss: 1
rlim: 8900000
alim: 8900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5Factor base limits: 8900000/8900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4450000, 8550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1689410 x 1689637
Total sieving time: 349.66 hours.
Total relation processing time: 0.66 hours.
Matrix solve time: 5.48 hours.
Time per square root: 0.48 hours.
Prototype def-par.txt line would be:
snfs,186.000,5,0,0,0,0,0,0,0,0,8900000,8900000,28,28,54,54,2.5,2.5,100000
total time: 356.27 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 27, 2009 14:00:00 UTC 2009 年 10 月 27 日 (火) 23 時 0 分 0 秒 (日本時間)

65×10185+619

c186

name 名前Dmitry Domanov
date 日付October 27, 2009 21:51:43 UTC 2009 年 10 月 28 日 (水) 6 時 51 分 43 秒 (日本時間)
composite number 合成数
240740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740743<186>
prime factors 素因数
35141952992942757477971514122621284567<38>
composite cofactor 合成数の残り
6850522530409352594617032385273079677147742201520609487175172835765408849862204938465321362129623843494992872240521378843361310626504793995366334929<148>
factorization results 素因数分解の結果
Factor=35141952992942757477971514122621284567  Method=ECM  B1=11000000  Sigma=2647286449
software ソフトウェア
ECMNET

c148

name 名前Dmitry Domanov
date 日付March 6, 2014 11:08:12 UTC 2014 年 3 月 6 日 (木) 20 時 8 分 12 秒 (日本時間)
composite number 合成数
6850522530409352594617032385273079677147742201520609487175172835765408849862204938465321362129623843494992872240521378843361310626504793995366334929<148>
prime factors 素因数
2059011933514417683277391670331364307811<40>
640084004401532906616590882214467793585512823576166547<54>
5197899292382060787236861436344687822233351022866353337<55>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3466986861
Step 1 took 16411ms
Step 2 took 7238ms
********** Factor found in step 2: 2059011933514417683277391670331364307811
Found probable prime factor of 40 digits: 2059011933514417683277391670331364307811
Composite cofactor 3327092193543803777636452205088376322536849781103228501018669432321914511798663174622131022146165195661217339 has 109 digits

N=3327092193543803777636452205088376322536849781103228501018669432321914511798663174622131022146165195661217339
  ( 109 digits)
Divisors found:
 r1=640084004401532906616590882214467793585512823576166547 (pp54)
 r2=5197899292382060787236861436344687822233351022866353337 (pp55)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 9.19 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 3327092193543803777636452205088376322536849781103228501018669432321914511798663174622131022146165195661217339
skew: 9696221.02
c0: 312566029263480653654324618595
c1: -289765169458230544333966
c2: -82311973543373705
c3: 8469507860
c4: 300
Y0: -324515353178067257257280276
Y1: 68453552314691
rlim: 3060000
alim: 3060000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 200000
Factor base limits: 3060000/3060000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1530000, 2530001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 380232 x 380459
Total sieving time: 8.89 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
gnfs,108,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3060000,3060000,26,26,52,52,2.5,2.5,100000
total time: 9.19 hours.
 --------- CPU info (if available) ----------
[    0.074309] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000)
[    0.707507] Total of 16 processors activated (76799.07 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6150Lionel DebrouxOctober 27, 2009 14:00:00 UTC 2009 年 10 月 27 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61800 / 1895300Serge BatalovJanuary 9, 2014 05:00:51 UTC 2014 年 1 月 9 日 (木) 14 時 0 分 51 秒 (日本時間)
1500Dmitry DomanovMarch 5, 2014 09:43:14 UTC 2014 年 3 月 5 日 (水) 18 時 43 分 14 秒 (日本時間)
4511e6120 / 4076Dmitry DomanovOctober 27, 2009 21:51:11 UTC 2009 年 10 月 28 日 (水) 6 時 51 分 11 秒 (日本時間)

65×10186+619

c166

name 名前LegionMammal978
date 日付March 3, 2017 21:48:43 UTC 2017 年 3 月 4 日 (土) 6 時 48 分 43 秒 (日本時間)
composite number 合成数
6965435946711763210517991307004543148789443354930653059778575110170162459627650130061641756570597234259619400336780646168350932669185579641429598490936294090506604911<166>
prime factors 素因数
3890268423056367106504661418062243299278648670623837548002743214830217<70>
1790476951520843477153934790107445346754361866978347358079774831382529013120214196137714533385783<97>
factorization results 素因数分解の結果
Thu Mar  2 07:44:29 2017  Msieve v. 1.53 (SVN Unversioned directory)
Thu Mar  2 07:44:29 2017  random seeds: 777ceb50 8a349c60
Thu Mar  2 07:44:29 2017  factoring 6965435946711763210517991307004543148789443354930653059778575110170162459627650130061641756570597234259619400336780646168350932669185579641429598490936294090506604911 (166 digits)
Thu Mar  2 07:44:30 2017  no P-1/P+1/ECM available, skipping
Thu Mar  2 07:44:30 2017  commencing number field sieve (166-digit input)
Thu Mar  2 07:44:30 2017  R0: -10000000000000000000000000000000000000
Thu Mar  2 07:44:30 2017  R1: 1
Thu Mar  2 07:44:30 2017  A0: 61
Thu Mar  2 07:44:30 2017  A1: 0
Thu Mar  2 07:44:30 2017  A2: 0
Thu Mar  2 07:44:30 2017  A3: 0
Thu Mar  2 07:44:30 2017  A4: 0
Thu Mar  2 07:44:30 2017  A5: 650
Thu Mar  2 07:44:30 2017  skew 0.62, size 2.409e-13, alpha 0.803, combined = 3.569e-11 rroots = 1
Thu Mar  2 07:44:30 2017  
Thu Mar  2 07:44:30 2017  commencing relation filtering
Thu Mar  2 07:44:30 2017  estimated available RAM is 15929.4 MB
Thu Mar  2 07:44:30 2017  commencing duplicate removal, pass 1
Thu Mar  2 07:47:11 2017  skipped 1 relations with b > 2^32
Thu Mar  2 07:47:11 2017  found 3480913 hash collisions in 22427873 relations
Thu Mar  2 07:47:30 2017  added 297 free relations
Thu Mar  2 07:47:30 2017  commencing duplicate removal, pass 2
Thu Mar  2 07:47:36 2017  found 3203546 duplicates and 19224624 unique relations
Thu Mar  2 07:47:36 2017  memory use: 106.6 MB
Thu Mar  2 07:47:36 2017  reading ideals above 720000
Thu Mar  2 07:47:36 2017  commencing singleton removal, initial pass
Thu Mar  2 07:49:35 2017  memory use: 689.0 MB
Thu Mar  2 07:49:35 2017  reading all ideals from disk
Thu Mar  2 07:49:36 2017  memory use: 614.2 MB
Thu Mar  2 07:49:37 2017  keeping 21407866 ideals with weight <= 200, target excess is 115778
Thu Mar  2 07:49:38 2017  commencing in-memory singleton removal
Thu Mar  2 07:49:39 2017  begin with 19224624 relations and 21407866 unique ideals
Thu Mar  2 07:49:49 2017  reduce to 7774036 relations and 7616560 ideals in 20 passes
Thu Mar  2 07:49:49 2017  max relations containing the same ideal: 105
Thu Mar  2 07:49:51 2017  removing 212076 relations and 200489 ideals in 11587 cliques
Thu Mar  2 07:49:52 2017  commencing in-memory singleton removal
Thu Mar  2 07:49:52 2017  begin with 7561960 relations and 7616560 unique ideals
Thu Mar  2 07:49:55 2017  reduce to 7556751 relations and 7410849 ideals in 9 passes
Thu Mar  2 07:49:55 2017  max relations containing the same ideal: 104
Thu Mar  2 07:49:57 2017  removing 152824 relations and 141237 ideals in 11587 cliques
Thu Mar  2 07:49:57 2017  commencing in-memory singleton removal
Thu Mar  2 07:49:57 2017  begin with 7403927 relations and 7410849 unique ideals
Thu Mar  2 07:50:00 2017  reduce to 7400958 relations and 7266637 ideals in 7 passes
Thu Mar  2 07:50:00 2017  max relations containing the same ideal: 103
Thu Mar  2 07:50:01 2017  relations with 0 large ideals: 2820
Thu Mar  2 07:50:01 2017  relations with 1 large ideals: 804
Thu Mar  2 07:50:01 2017  relations with 2 large ideals: 15615
Thu Mar  2 07:50:01 2017  relations with 3 large ideals: 126389
Thu Mar  2 07:50:01 2017  relations with 4 large ideals: 549661
Thu Mar  2 07:50:01 2017  relations with 5 large ideals: 1387545
Thu Mar  2 07:50:01 2017  relations with 6 large ideals: 2174801
Thu Mar  2 07:50:01 2017  relations with 7+ large ideals: 3143323
Thu Mar  2 07:50:01 2017  commencing 2-way merge
Thu Mar  2 07:50:04 2017  reduce to 4302402 relation sets and 4168084 unique ideals
Thu Mar  2 07:50:04 2017  ignored 4 oversize relation sets
Thu Mar  2 07:50:04 2017  commencing full merge
Thu Mar  2 07:50:50 2017  memory use: 500.1 MB
Thu Mar  2 07:50:51 2017  found 2185235 cycles, need 2178284
Thu Mar  2 07:50:51 2017  weight of 2178284 cycles is about 152746190 (70.12/cycle)
Thu Mar  2 07:50:51 2017  distribution of cycle lengths:
Thu Mar  2 07:50:51 2017  1 relations: 327564
Thu Mar  2 07:50:51 2017  2 relations: 286914
Thu Mar  2 07:50:51 2017  3 relations: 265397
Thu Mar  2 07:50:51 2017  4 relations: 226219
Thu Mar  2 07:50:51 2017  5 relations: 193991
Thu Mar  2 07:50:51 2017  6 relations: 158654
Thu Mar  2 07:50:51 2017  7 relations: 132135
Thu Mar  2 07:50:51 2017  8 relations: 107763
Thu Mar  2 07:50:51 2017  9 relations: 88137
Thu Mar  2 07:50:51 2017  10+ relations: 391510
Thu Mar  2 07:50:51 2017  heaviest cycle: 28 relations
Thu Mar  2 07:50:51 2017  commencing cycle optimization
Thu Mar  2 07:50:54 2017  start with 12646657 relations
Thu Mar  2 07:51:05 2017  pruned 271276 relations
Thu Mar  2 07:51:06 2017  memory use: 425.0 MB
Thu Mar  2 07:51:06 2017  distribution of cycle lengths:
Thu Mar  2 07:51:06 2017  1 relations: 327564
Thu Mar  2 07:51:06 2017  2 relations: 292711
Thu Mar  2 07:51:06 2017  3 relations: 274138
Thu Mar  2 07:51:06 2017  4 relations: 230370
Thu Mar  2 07:51:06 2017  5 relations: 196621
Thu Mar  2 07:51:06 2017  6 relations: 159737
Thu Mar  2 07:51:06 2017  7 relations: 131762
Thu Mar  2 07:51:06 2017  8 relations: 106440
Thu Mar  2 07:51:06 2017  9 relations: 86616
Thu Mar  2 07:51:06 2017  10+ relations: 372325
Thu Mar  2 07:51:06 2017  heaviest cycle: 28 relations
Thu Mar  2 07:51:08 2017  RelProcTime: 398
Thu Mar  2 07:51:08 2017  elapsed time 00:06:39
Thu Mar 02 07:51:08 2017 LatSieveTime: 1127.42
Thu Mar 02 07:51:08 2017 -> Running matrix solving step ...
Thu Mar 02 07:51:08 2017 -> ./msieve -s 72229_186/72229_186.dat -l 72229_186/72229_186.log -i 72229_186/72229_186.ini -nf 72229_186/72229_186.fb -t 6 -nc2
Thu Mar  2 07:51:08 2017  
Thu Mar  2 07:51:08 2017  
Thu Mar  2 07:51:08 2017  Msieve v. 1.53 (SVN Unversioned directory)
Thu Mar  2 07:51:08 2017  random seeds: 0c0b0393 4efab049
Thu Mar  2 07:51:08 2017  factoring 6965435946711763210517991307004543148789443354930653059778575110170162459627650130061641756570597234259619400336780646168350932669185579641429598490936294090506604911 (166 digits)
Thu Mar  2 07:51:09 2017  no P-1/P+1/ECM available, skipping
Thu Mar  2 07:51:09 2017  commencing number field sieve (166-digit input)
Thu Mar  2 07:51:09 2017  R0: -10000000000000000000000000000000000000
Thu Mar  2 07:51:09 2017  R1: 1
Thu Mar  2 07:51:09 2017  A0: 61
Thu Mar  2 07:51:09 2017  A1: 0
Thu Mar  2 07:51:09 2017  A2: 0
Thu Mar  2 07:51:09 2017  A3: 0
Thu Mar  2 07:51:09 2017  A4: 0
Thu Mar  2 07:51:09 2017  A5: 650
Thu Mar  2 07:51:09 2017  skew 0.62, size 2.409e-13, alpha 0.803, combined = 3.569e-11 rroots = 1
Thu Mar  2 07:51:09 2017  
Thu Mar  2 07:51:09 2017  commencing linear algebra
Thu Mar  2 07:51:09 2017  read 2178284 cycles
Thu Mar  2 07:51:12 2017  cycles contain 7210546 unique relations
Thu Mar  2 07:51:45 2017  read 7210546 relations
Thu Mar  2 07:51:50 2017  using 20 quadratic characters above 4294917295
Thu Mar  2 07:52:18 2017  building initial matrix
Thu Mar  2 07:52:59 2017  memory use: 882.3 MB
Thu Mar  2 07:52:59 2017  read 2178284 cycles
Thu Mar  2 07:53:00 2017  matrix is 2178106 x 2178284 (654.5 MB) with weight 194113092 (89.11/col)
Thu Mar  2 07:53:00 2017  sparse part has weight 147615480 (67.77/col)
Thu Mar  2 07:53:12 2017  filtering completed in 2 passes
Thu Mar  2 07:53:12 2017  matrix is 2175886 x 2176065 (654.3 MB) with weight 194029872 (89.17/col)
Thu Mar  2 07:53:12 2017  sparse part has weight 147584759 (67.82/col)
Thu Mar  2 07:53:16 2017  matrix starts at (0, 0)
Thu Mar  2 07:53:17 2017  matrix is 2175886 x 2176065 (654.3 MB) with weight 194029872 (89.17/col)
Thu Mar  2 07:53:17 2017  sparse part has weight 147584759 (67.82/col)
Thu Mar  2 07:53:17 2017  saving the first 48 matrix rows for later
Thu Mar  2 07:53:17 2017  matrix includes 64 packed rows
Thu Mar  2 07:53:17 2017  matrix is 2175838 x 2176065 (622.9 MB) with weight 154851856 (71.16/col)
Thu Mar  2 07:53:17 2017  sparse part has weight 141519002 (65.03/col)
Thu Mar  2 07:53:17 2017  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Thu Mar  2 07:53:22 2017  commencing Lanczos iteration (6 threads)
Thu Mar  2 07:53:22 2017  memory use: 502.3 MB
Thu Mar  2 07:53:28 2017  linear algebra at 0.1%, ETA 2h23m
Thu Mar  2 07:53:29 2017  checkpointing every 1040000 dimensions
Thu Mar  2 09:49:56 2017  lanczos halted after 34413 iterations (dim = 2175832)
Thu Mar  2 09:49:58 2017  recovered 35 nontrivial dependencies
Thu Mar  2 09:49:58 2017  BLanczosTime: 7129
Thu Mar  2 09:49:58 2017  elapsed time 01:58:50
Thu Mar 02 09:49:58 2017 -> Running square root step ...
Thu Mar 02 09:49:58 2017 -> ./msieve -s 72229_186/72229_186.dat -l 72229_186/72229_186.log -i 72229_186/72229_186.ini -nf 72229_186/72229_186.fb -t 6 -nc3
Thu Mar  2 09:49:58 2017  
Thu Mar  2 09:49:58 2017  
Thu Mar  2 09:49:58 2017  Msieve v. 1.53 (SVN Unversioned directory)
Thu Mar  2 09:49:58 2017  random seeds: 0b3e47dd 37751619
Thu Mar  2 09:49:58 2017  factoring 6965435946711763210517991307004543148789443354930653059778575110170162459627650130061641756570597234259619400336780646168350932669185579641429598490936294090506604911 (166 digits)
Thu Mar  2 09:49:58 2017  no P-1/P+1/ECM available, skipping
Thu Mar  2 09:49:58 2017  commencing number field sieve (166-digit input)
Thu Mar  2 09:49:58 2017  R0: -10000000000000000000000000000000000000
Thu Mar  2 09:49:58 2017  R1: 1
Thu Mar  2 09:49:58 2017  A0: 61
Thu Mar  2 09:49:58 2017  A1: 0
Thu Mar  2 09:49:58 2017  A2: 0
Thu Mar  2 09:49:58 2017  A3: 0
Thu Mar  2 09:49:58 2017  A4: 0
Thu Mar  2 09:49:58 2017  A5: 650
Thu Mar  2 09:49:58 2017  skew 0.62, size 2.409e-13, alpha 0.803, combined = 3.569e-11 rroots = 1
Thu Mar  2 09:49:58 2017  
Thu Mar  2 09:49:58 2017  commencing square root phase
Thu Mar  2 09:49:58 2017  reading relations for dependency 1
Thu Mar  2 09:49:59 2017  read 1087338 cycles
Thu Mar  2 09:50:00 2017  cycles contain 3600442 unique relations
Thu Mar  2 09:50:17 2017  read 3600442 relations
Thu Mar  2 09:50:27 2017  multiplying 3600442 relations
Thu Mar  2 09:52:11 2017  multiply complete, coefficients have about 113.75 million bits
Thu Mar  2 09:52:12 2017  initial square root is modulo 146193791
Thu Mar  2 09:54:26 2017  sqrtTime: 268
Thu Mar  2 09:54:26 2017  p70 factor: 3890268423056367106504661418062243299278648670623837548002743214830217
Thu Mar  2 09:54:26 2017  p97 factor: 1790476951520843477153934790107445346754361866978347358079774831382529013120214196137714533385783
software ソフトウェア
Msieve 1.53 snfs
execution environment 実行環境
64-bit Ubuntu 16.04.1 LTS, Core i7-2600K 3.4GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxOctober 27, 2009 14:00:00 UTC 2009 年 10 月 27 日 (火) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 23, 2011 09:41:47 UTC 2011 年 5 月 23 日 (月) 18 時 41 分 47 秒 (日本時間)
403e61910110Ignacio SantosMay 23, 2011 09:41:47 UTC 2011 年 5 月 23 日 (月) 18 時 41 分 47 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:00:51 UTC 2014 年 1 月 9 日 (木) 14 時 0 分 51 秒 (日本時間)
1500Dmitry DomanovMarch 5, 2014 09:44:00 UTC 2014 年 3 月 5 日 (水) 18 時 44 分 0 秒 (日本時間)
4511e6632 / 403732Ignacio SantosMay 23, 2011 09:41:47 UTC 2011 年 5 月 23 日 (月) 18 時 41 分 47 秒 (日本時間)
600Rich DickersonApril 9, 2014 01:18:04 UTC 2014 年 4 月 9 日 (水) 10 時 18 分 4 秒 (日本時間)

65×10187+619

c132

name 名前Wataru Sakai
date 日付October 30, 2009 11:01:22 UTC 2009 年 10 月 30 日 (金) 20 時 1 分 22 秒 (日本時間)
composite number 合成数
177739935897865847858504728910632824956542532210196358740793207740854776281280389842167236424404831626137802983758450381538290521977<132>
prime factors 素因数
1512052274095148841868452958388463932723<40>
composite cofactor 合成数の残り
117548803664364063729993986270961475590052376474609853792498756031020401498410673032364148899<93>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2945990577
Step 1 took 38221ms
Step 2 took 14029ms
********** Factor found in step 2: 1512052274095148841868452958388463932723
Found probable prime factor of 40 digits: 1512052274095148841868452958388463932723
Composite cofactor 117548803664364063729993986270961475590052376474609853792498756031020401498410673032364148899 has 93 digits
software ソフトウェア
GMP-ECM 6.2.1

c93

name 名前Sinkiti Sibata
date 日付October 31, 2009 06:45:48 UTC 2009 年 10 月 31 日 (土) 15 時 45 分 48 秒 (日本時間)
composite number 合成数
117548803664364063729993986270961475590052376474609853792498756031020401498410673032364148899<93>
prime factors 素因数
309843707618510847624745331660074576027487<42>
379380961349370970936336620824720600414315083305277<51>
factorization results 素因数分解の結果
Sat Oct 31 13:27:52 2009  Msieve v. 1.42
Sat Oct 31 13:27:52 2009  random seeds: 12ba8844 239eac6d
Sat Oct 31 13:27:52 2009  factoring 117548803664364063729993986270961475590052376474609853792498756031020401498410673032364148899 (93 digits)
Sat Oct 31 13:27:53 2009  searching for 15-digit factors
Sat Oct 31 13:27:53 2009  commencing quadratic sieve (93-digit input)
Sat Oct 31 13:27:54 2009  using multiplier of 59
Sat Oct 31 13:27:54 2009  using 32kb Intel Core sieve core
Sat Oct 31 13:27:54 2009  sieve interval: 36 blocks of size 32768
Sat Oct 31 13:27:54 2009  processing polynomials in batches of 6
Sat Oct 31 13:27:54 2009  using a sieve bound of 1850521 (69412 primes)
Sat Oct 31 13:27:54 2009  using large prime bound of 209108873 (27 bits)
Sat Oct 31 13:27:54 2009  using double large prime bound of 947698977581332 (42-50 bits)
Sat Oct 31 13:27:54 2009  using trial factoring cutoff of 50 bits
Sat Oct 31 13:27:54 2009  polynomial 'A' values have 12 factors
Sat Oct 31 15:05:32 2009  69729 relations (18960 full + 50769 combined from 871863 partial), need 69508
Sat Oct 31 15:05:33 2009  begin with 890823 relations
Sat Oct 31 15:05:34 2009  reduce to 171658 relations in 13 passes
Sat Oct 31 15:05:34 2009  attempting to read 171658 relations
Sat Oct 31 15:05:37 2009  recovered 171658 relations
Sat Oct 31 15:05:37 2009  recovered 148129 polynomials
Sat Oct 31 15:05:37 2009  attempting to build 69729 cycles
Sat Oct 31 15:05:37 2009  found 69729 cycles in 5 passes
Sat Oct 31 15:05:37 2009  distribution of cycle lengths:
Sat Oct 31 15:05:37 2009     length 1 : 18960
Sat Oct 31 15:05:37 2009     length 2 : 13312
Sat Oct 31 15:05:37 2009     length 3 : 12246
Sat Oct 31 15:05:37 2009     length 4 : 9183
Sat Oct 31 15:05:37 2009     length 5 : 6467
Sat Oct 31 15:05:37 2009     length 6 : 4046
Sat Oct 31 15:05:37 2009     length 7 : 2505
Sat Oct 31 15:05:37 2009     length 9+: 3010
Sat Oct 31 15:05:37 2009  largest cycle: 20 relations
Sat Oct 31 15:05:38 2009  matrix is 69412 x 69729 (17.5 MB) with weight 4296010 (61.61/col)
Sat Oct 31 15:05:38 2009  sparse part has weight 4296010 (61.61/col)
Sat Oct 31 15:05:39 2009  filtering completed in 3 passes
Sat Oct 31 15:05:39 2009  matrix is 64555 x 64618 (16.3 MB) with weight 4009614 (62.05/col)
Sat Oct 31 15:05:39 2009  sparse part has weight 4009614 (62.05/col)
Sat Oct 31 15:05:39 2009  saving the first 48 matrix rows for later
Sat Oct 31 15:05:39 2009  matrix is 64507 x 64618 (10.2 MB) with weight 3145901 (48.68/col)
Sat Oct 31 15:05:39 2009  sparse part has weight 2297112 (35.55/col)
Sat Oct 31 15:05:39 2009  matrix includes 64 packed rows
Sat Oct 31 15:05:39 2009  using block size 25847 for processor cache size 1024 kB
Sat Oct 31 15:05:39 2009  commencing Lanczos iteration
Sat Oct 31 15:05:39 2009  memory use: 10.4 MB
Sat Oct 31 15:06:15 2009  lanczos halted after 1022 iterations (dim = 64503)
Sat Oct 31 15:06:15 2009  recovered 15 nontrivial dependencies
Sat Oct 31 15:06:16 2009  prp42 factor: 309843707618510847624745331660074576027487
Sat Oct 31 15:06:16 2009  prp51 factor: 379380961349370970936336620824720600414315083305277
Sat Oct 31 15:06:16 2009  elapsed time 01:38:24

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 27, 2009 14:00:00 UTC 2009 年 10 月 27 日 (火) 23 時 0 分 0 秒 (日本時間)

65×10188+619

c125

name 名前Erik Branger
date 日付February 7, 2010 20:02:23 UTC 2010 年 2 月 8 日 (月) 5 時 2 分 23 秒 (日本時間)
composite number 合成数
43183893831171579056172495878428075474083650110965901322838323376337304577897666541047030790469355087210649553084842494580373<125>
prime factors 素因数
1301992156556359597814911479282473244494303<43>
33167552979265792612135683621078128470451756272801280334589375159367755780850439691<83>
factorization results 素因数分解の結果
Number: 72229_188
N = 43183893831171579056172495878428075474083650110965901322838323376337304577897666541047030790469355087210649553084842494580373 (125 digits)
Divisors found:
r1=1301992156556359597814911479282473244494303 (pp43)
r2=33167552979265792612135683621078128470451756272801280334589375159367755780850439691 (pp83)
Version: Msieve v. 1.44
Total time: 64.96 hours.
Factorization parameters were as follows:
# Murphy_E = 1.493678e-10, selected by Erik Branger
n: 43183893831171579056172495878428075474083650110965901322838323376337304577897666541047030790469355087210649553084842494580373
Y0: -1226804431304769980520402
Y1: 39576181957789
c0: -680740412792714359728715403065
c1: 49347370157668825116199831
c2: 353261377930361182401
c3: -2608197070760071
c4: -6538641188
c5: 15540
skew: 222697.89
type: gnfs
# selected mechanically
rlim: 7000000
alim: 7000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [3500000, 7500000)
Relations: 11736411
Relations in full relation-set: 1337618 relations
Pruned matrix : 863489 x 863715
Polynomial selection time: 0.00 hours.
Total sieving time: 62.32 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 2.04 hours.
time per square root: 0.38 hours.
Prototype def-par.txt line would be: gnfs,124,5,65,2000,1e-05,0.28,250,20,50000,3600,7000000,7000000,27,27,52,52,2.5,2.5,100000
total time: 64.96 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6150Lionel DebrouxOctober 27, 2009 14:00:00 UTC 2009 年 10 月 27 日 (火) 23 時 0 分 0 秒 (日本時間)
403e62310Wataru SakaiOctober 31, 2009 06:03:41 UTC 2009 年 10 月 31 日 (土) 15 時 3 分 41 秒 (日本時間)

65×10191+619

c169

name 名前Edwin Hall
date 日付December 22, 2020 13:43:43 UTC 2020 年 12 月 22 日 (火) 22 時 43 分 43 秒 (日本時間)
composite number 合成数
2388168867565314902520177708252813868847411594624072568738566364491211851761424375847886695958485866451485524644180494217674148331820092140699523419510750372382071058427<169>
prime factors 素因数
57317454554960261331288327284329993994615218007446568912213446150875045163<74>
41665647682860026823640653502601103213777746092835532518357482805699830004458055311323173154929<95>
factorization results 素因数分解の結果
p74 factor: 57317454554960261331288327284329993994615218007446568912213446150875045163
p95 factor: 41665647682860026823640653502601103213777746092835532518357482805699830004458055311323173154929


Msieve v. 1.54 (SVN 1034)
random seeds: f2f9583f bff9b21f
factoring 2388168867565314902520177708252813868847411594624072568738566364491211851761424375847886695958485866451485524644180494217674148331820092140699523419510750372382071058427 (169 digits)
searching for 15-digit factors
commencing number field sieve (169-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: 61
A1: 0
A2: 0
A3: 0
A4: 0
A5: 650
skew 1.00, size 1.118e-13, alpha 0.803, combined = 2.239e-11 rroots = 1

commencing relation filtering
estimated available RAM is 15892.2 MB
commencing duplicate removal, pass 1
found 630254 hash collisions in 37199734 relations
added 727459 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 37927193 unique relations
memory use: 144.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1249.9 MB
keeping 40428516 ideals with weight <= 200, target excess is 201241
commencing in-memory singleton removal
begin with 37927193 relations and 40428516 unique ideals
reduce to 14672548 relations and 13222914 ideals in 14 passes
max relations containing the same ideal: 105
removing 2101569 relations and 1701569 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 12570979 relations and 13222914 unique ideals
reduce to 12318729 relations and 11260357 ideals in 8 passes
max relations containing the same ideal: 94
removing 1686975 relations and 1286975 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 10631754 relations and 11260357 unique ideals
reduce to 10435188 relations and 9770530 ideals in 9 passes
max relations containing the same ideal: 85
removing 1592888 relations and 1192888 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 8842300 relations and 9770530 unique ideals
reduce to 8627946 relations and 8355423 ideals in 9 passes
max relations containing the same ideal: 75
removing 257058 relations and 217975 ideals in 39083 cliques
commencing in-memory singleton removal
begin with 8370888 relations and 8355423 unique ideals
reduce to 8365036 relations and 8131558 ideals in 7 passes
max relations containing the same ideal: 74
relations with 0 large ideals: 4194
relations with 1 large ideals: 8987
relations with 2 large ideals: 79912
relations with 3 large ideals: 386965
relations with 4 large ideals: 1117403
relations with 5 large ideals: 2001591
relations with 6 large ideals: 2342344
relations with 7+ large ideals: 2423640
commencing 2-way merge
reduce to 5189140 relation sets and 4955662 unique ideals
commencing full merge
memory use: 585.7 MB
found 2423258 cycles, need 2397862
weight of 2397862 cycles is about 215812538 (90.00/cycle)
distribution of cycle lengths:
1 relations: 200445
2 relations: 202937
3 relations: 208412
4 relations: 206147
5 relations: 200428
6 relations: 184959
7 relations: 173095
8 relations: 158070
9 relations: 141024
10+ relations: 722345
heaviest cycle: 27 relations
commencing cycle optimization
start with 17781350 relations
pruned 605037 relations
memory use: 523.9 MB
distribution of cycle lengths:
1 relations: 200445
2 relations: 207814
3 relations: 216414
4 relations: 213123
5 relations: 207835
6 relations: 191368
7 relations: 178277
8 relations: 162028
9 relations: 144204
10+ relations: 676354
heaviest cycle: 26 relations
RelProcTime: 944
elapsed time 00:15:46


Msieve v. 1.54 (SVN 1034)
random seeds: 77b28932 cf6b5ad7
factoring 2388168867565314902520177708252813868847411594624072568738566364491211851761424375847886695958485866451485524644180494217674148331820092140699523419510750372382071058427 (169 digits)
searching for 15-digit factors
commencing number field sieve (169-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: 61
A1: 0
A2: 0
A3: 0
A4: 0
A5: 650
skew 1.00, size 1.118e-13, alpha 0.803, combined = 2.239e-11 rroots = 1

commencing linear algebra
read 2397862 cycles
cycles contain 8213091 unique relations
read 8213091 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 1004.1 MB
read 2397862 cycles
matrix is 2397685 x 2397862 (880.4 MB) with weight 258894284 (107.97/col)
sparse part has weight 204414208 (85.25/col)
filtering completed in 2 passes
matrix is 2397065 x 2397242 (880.3 MB) with weight 258871006 (107.99/col)
sparse part has weight 204405212 (85.27/col)
matrix starts at (0, 0)
matrix is 2397065 x 2397242 (880.3 MB) with weight 258871006 (107.99/col)
sparse part has weight 204405212 (85.27/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2397017 x 2397242 (839.6 MB) with weight 213742870 (89.16/col)
sparse part has weight 196117514 (81.81/col)
using block size 8192 and superblock size 786432 for processor cache size 8192 kB
commencing Lanczos iteration (8 threads)
memory use: 798.8 MB
linear algebra at 0.1%, ETA 2h37m
checkpointing every 920000 dimensions
lanczos halted after 37910 iterations (dim = 2397013)
recovered 36 nontrivial dependencies
BLanczosTime: 9951
elapsed time 02:45:52


Msieve v. 1.54 (SVN 1034)
random seeds: 35dfb326 886f0430
factoring 2388168867565314902520177708252813868847411594624072568738566364491211851761424375847886695958485866451485524644180494217674148331820092140699523419510750372382071058427 (169 digits)
searching for 15-digit factors
commencing number field sieve (169-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: 61
A1: 0
A2: 0
A3: 0
A4: 0
A5: 650
skew 1.00, size 1.118e-13, alpha 0.803, combined = 2.239e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1199034 cycles
cycles contain 4109256 unique relations
read 4109256 relations
multiplying 4109256 relations
multiply complete, coefficients have about 128.70 million bits
initial square root is modulo 1727432471
sqrtTime: 237
p74 factor: 57317454554960261331288327284329993994615218007446568912213446150875045163
p95 factor: 41665647682860026823640653502601103213777746092835532518357482805699830004458055311323173154929
elapsed time 00:03:58
software ソフトウェア
CADO-NFS/Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxOctober 27, 2009 14:00:00 UTC 2009 年 10 月 27 日 (火) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 23, 2011 11:08:09 UTC 2011 年 5 月 23 日 (月) 20 時 8 分 9 秒 (日本時間)
403e61910110Ignacio SantosMay 23, 2011 11:08:09 UTC 2011 年 5 月 23 日 (月) 20 時 8 分 9 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:00:52 UTC 2014 年 1 月 9 日 (木) 14 時 0 分 52 秒 (日本時間)
1500Dmitry DomanovMarch 5, 2014 09:44:21 UTC 2014 年 3 月 5 日 (水) 18 時 44 分 21 秒 (日本時間)
4511e6103232Ignacio SantosMay 23, 2011 11:08:09 UTC 2011 年 5 月 23 日 (月) 20 時 8 分 9 秒 (日本時間)
1000Dmitry DomanovApril 21, 2014 12:57:55 UTC 2014 年 4 月 21 日 (月) 21 時 57 分 55 秒 (日本時間)
5043e61120 / 7247Robert BalfourJuly 9, 2020 01:58:20 UTC 2020 年 7 月 9 日 (木) 10 時 58 分 20 秒 (日本時間)

65×10192+619

c187

name 名前Dmitry Domanov
date 日付June 20, 2010 12:43:35 UTC 2010 年 6 月 20 日 (日) 21 時 43 分 35 秒 (日本時間)
composite number 合成数
1093181753087813793407451392556303443238294970810617647185949190291207305387201361034828047471602627827298070283614905839294243205660972753823895113213518258649594598592321629275393893147<187>
prime factors 素因数
37978707733302601378190261822401219<35>
composite cofactor 合成数の残り
28784069241229853890593179306486436973467204699436464916884443652286343965178628176947171029297341707128366266126496146574855531915758126552655919296713<152>
factorization results 素因数分解の結果
Factor=37978707733302601378190261822401219  Method=ECM  B1=11000000  Sigma=1112357557

c152

name 名前Ignacio Santos
date 日付May 23, 2011 11:36:27 UTC 2011 年 5 月 23 日 (月) 20 時 36 分 27 秒 (日本時間)
composite number 合成数
28784069241229853890593179306486436973467204699436464916884443652286343965178628176947171029297341707128366266126496146574855531915758126552655919296713<152>
prime factors 素因数
3059173583538952974558032575257301<34>
9409099698073194174939220865014572719554790741238332861198531213816353609414446969070392163860849523641438681364811813<118>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2274310453
Step 1 took 7223ms
Step 2 took 5787ms
********** Factor found in step 2: 3059173583538952974558032575257301
Found probable prime factor of 34 digits: 3059173583538952974558032575257301
Probable prime cofactor 9409099698073194174939220865014572719554790741238332861198531213816353609414446969070392163860849523641438681364811813 has 118 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 616Lionel DebrouxOctober 27, 2009 14:00:00 UTC 2009 年 10 月 27 日 (火) 23 時 0 分 0 秒 (日本時間)
403e60 / 2175--
4511e639 / 4474Dmitry DomanovJune 20, 2010 12:43:06 UTC 2010 年 6 月 20 日 (日) 21 時 43 分 6 秒 (日本時間)

65×10193+619

c159

name 名前Ignacio Santos
date 日付May 23, 2011 11:37:35 UTC 2011 年 5 月 23 日 (月) 20 時 37 分 35 秒 (日本時間)
composite number 合成数
623458027259438667264268002873322118935307190660713803705231448367114233808857243522982950095678028774712176464801358173365168498962504536084692450291530516279<159>
prime factors 素因数
1959546652245973204941934943468461<34>
318164421625200860376668528331474065499430779415910293047316270309540479196968667484922318110104405155430397554568030069828339<126>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2364017766
Step 1 took 26208ms
Step 2 took 13884ms
********** Factor found in step 2: 1959546652245973204941934943468461
Found probable prime factor of 34 digits: 1959546652245973204941934943468461
Probable prime cofactor 318164421625200860376668528331474065499430779415910293047316270309540479196968667484922318110104405155430397554568030069828339 has 126 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 27, 2009 14:00:00 UTC 2009 年 10 月 27 日 (火) 23 時 0 分 0 秒 (日本時間)

65×10194+619

c164

name 名前Eric Jeancolas
date 日付December 18, 2020 07:26:01 UTC 2020 年 12 月 18 日 (金) 16 時 26 分 1 秒 (日本時間)
composite number 合成数
62315400105181899595739862764364010143071777026486964670230434858576459408013518398737602984305173176700508070523109996780357079867110929925539087651611219776345049<164>
prime factors 素因数
497557007914421547730387980996854635674510110924362329537764418323<66>
125242734227351047478223697149974325787242579971142416818838512968427652876571564830840366760500963<99>
factorization results 素因数分解の結果
62315400105181899595739862764364010143071777026486964670230434858576459408013518398737602984305173176700508070523109996780357079867110929925539087651611219776345049=497557007914421547730387980996854635674510110924362329537764418323*125242734227351047478223697149974325787242579971142416818838512968427652876571564830840366760500963

cado polynomial
n: 62315400105181899595739862764364010143071777026486964670230434858576459408013518398737602984305173176700508070523109996780357079867110929925539087651611219776345049
skew: 0.78
type: snfs
c0: 61
c5: 208
Y0: 500000000000000000000000000000000000000
Y1: -1
# f(x) = 208*x^5+61
# g(x) = -x+500000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 12800000
tasks.lim1 = 12800000
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 = 11
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 125242734227351047478223697149974325787242579971142416818838512968427652876571564830840366760500963 497557007914421547730387980996854635674510110924362329537764418323
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 5.42/2.172
Info:Generate Free Relations: Total cpu/real time for freerel: 102.99/26.4155
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 30922255
Info:Lattice Sieving: Average J: 1893.91 for 4530515 special-q, max bucket fill -bkmult 1.0,1s:1.113520
Info:Lattice Sieving: Total time: 1.10188e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 60.05/160.534
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 159.39999999999998s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 527.57/533.611
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 466.70000000000005s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 456.32/531.156
Info:Filtering - Merging: Merged matrix has 2866292 rows and total weight 493383219 (172.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 412.41/119.145
Info:Filtering - Merging: Total cpu/real time for replay: 112.02/99.4269
Info:Linear Algebra: Total cpu/real time for bwc: 149262/38140.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 24234.72, iteration CPU time 0.26, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (89600 iterations)
Info:Linear Algebra: Lingen CPU time 590.93, WCT time 170.76
Info:Linear Algebra: Mksol: WCT time 13416.65, iteration CPU time 0.28, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (45056 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 99.69/42.6168
Info:Square Root: Total cpu/real time for sqrt: 1472.95/455.799
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.18324e+06/371782
Info:root: Cleaning up computation data in /tmp/cado.d7z1aa0a
125242734227351047478223697149974325787242579971142416818838512968427652876571564830840366760500963 497557007914421547730387980996854635674510110924362329537764418323
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
6 x Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxOctober 27, 2009 14:00:00 UTC 2009 年 10 月 27 日 (火) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 23, 2011 15:31:17 UTC 2011 年 5 月 24 日 (火) 0 時 31 分 17 秒 (日本時間)
403e61910110Ignacio SantosMay 23, 2011 15:31:17 UTC 2011 年 5 月 24 日 (火) 0 時 31 分 17 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:00:53 UTC 2014 年 1 月 9 日 (木) 14 時 0 分 53 秒 (日本時間)
1500Dmitry DomanovMarch 5, 2014 09:44:38 UTC 2014 年 3 月 5 日 (水) 18 時 44 分 38 秒 (日本時間)
4511e62100 / 403732Ignacio SantosMay 23, 2011 15:31:17 UTC 2011 年 5 月 24 日 (火) 0 時 31 分 17 秒 (日本時間)
1000Dmitry DomanovApril 21, 2014 12:58:18 UTC 2014 年 4 月 21 日 (月) 21 時 58 分 18 秒 (日本時間)
1068Eric JeancolasOctober 10, 2020 06:48:08 UTC 2020 年 10 月 10 日 (土) 15 時 48 分 8 秒 (日本時間)

65×10196+619

c175

name 名前Ignacio Santos
date 日付May 23, 2011 15:31:56 UTC 2011 年 5 月 24 日 (火) 0 時 31 分 56 秒 (日本時間)
composite number 合成数
5556949290338543864653496673980919678390217227327600934039979334669223244186051825919546977662391744781600870605289510723145028805826341368453142163138920517166664889225891049<175>
prime factors 素因数
43395538826053774907558311081<29>
composite cofactor 合成数の残り
128053469104576888084884843452645948795657282797270760397662571795783898588042427535413622499504076019143470330956804922431553535690104829732273729<147>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3795057167
Step 1 took 10312ms
Step 2 took 7066ms
********** Factor found in step 2: 43395538826053774907558311081
Found probable prime factor of 29 digits: 43395538826053774907558311081
Composite cofactor 128053469104576888084884843452645948795657282797270760397662571795783898588042427535413622499504076019143470330956804922431553535690104829732273729 has 147 digits
software ソフトウェア
GMP-ECM 6.3

c147

name 名前Eric Jeancolas
date 日付January 10, 2021 09:54:10 UTC 2021 年 1 月 10 日 (日) 18 時 54 分 10 秒 (日本時間)
composite number 合成数
128053469104576888084884843452645948795657282797270760397662571795783898588042427535413622499504076019143470330956804922431553535690104829732273729<147>
prime factors 素因数
8028969489890281308603287549002225202803312729<46>
15948929593743764963427294090236963652813363668423209894026497127107810487322407883822335936013609001<101>
factorization results 素因数分解の結果
128053469104576888084884843452645948795657282797270760397662571795783898588042427535413622499504076019143470330956804922431553535690104829732273729=8028969489890281308603287549002225202803312729*15948929593743764963427294090236963652813363668423209894026497127107810487322407883822335936013609001

cado polynomial
n: 128053469104576888084884843452645948795657282797270760397662571795783898588042427535413622499504076019143470330956804922431553535690104829732273729
skew: 0.62
type: snfs
c0: 61
c5: 650
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 650*x^5+61
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13900000
tasks.lim1 = 13900000
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: 15948929593743764963427294090236963652813363668423209894026497127107810487322407883822335936013609001 8028969489890281308603287549002225202803312729
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 6.03/2.37969
Info:Generate Free Relations: Total cpu/real time for freerel: 99.28/25.5241
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 32442428
Info:Lattice Sieving: Average J: 1894.29 for 5769211 special-q, max bucket fill -bkmult 1.0,1s:1.083060
Info:Lattice Sieving: Total time: 1.54951e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 64.08/168.59
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 167.49999999999997s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 547/546.517
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 476.40000000000003s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 463.19/529.906
Info:Filtering - Merging: Merged matrix has 3179114 rows and total weight 543689975 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 448.82/129.905
Info:Filtering - Merging: Total cpu/real time for replay: 126.08/112.933
Info:Linear Algebra: Total cpu/real time for bwc: 184738/47250.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 30248.41, iteration CPU time 0.29, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (99840 iterations)
Info:Linear Algebra: Lingen CPU time 661.43, WCT time 191.01
Info:Linear Algebra: Mksol: WCT time 16417.21, iteration CPU time 0.31, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (50176 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 109.91/46.8632
Info:Square Root: Total cpu/real time for sqrt: 907.83/283.215
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.07235e+06/106000
Info:root: Cleaning up computation data in /tmp/cado.vud6ld5m
15948929593743764963427294090236963652813363668423209894026497127107810487322407883822335936013609001 8028969489890281308603287549002225202803312729
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
6 x Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6150Lionel DebrouxOctober 27, 2009 14:00:00 UTC 2009 年 10 月 27 日 (火) 23 時 0 分 0 秒 (日本時間)
403e62100300Dmitry DomanovJune 7, 2011 07:32:12 UTC 2011 年 6 月 7 日 (火) 16 時 32 分 12 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:00:53 UTC 2014 年 1 月 9 日 (木) 14 時 0 分 53 秒 (日本時間)
1500Dmitry DomanovMarch 5, 2014 09:45:03 UTC 2014 年 3 月 5 日 (水) 18 時 45 分 3 秒 (日本時間)
4511e61000 / 4009Dmitry DomanovApril 21, 2014 12:58:32 UTC 2014 年 4 月 21 日 (月) 21 時 58 分 32 秒 (日本時間)

65×10198+619

c194

name 名前yoyo@home
date 日付February 24, 2010 12:52:58 UTC 2010 年 2 月 24 日 (水) 21 時 52 分 58 秒 (日本時間)
composite number 合成数
63285654894561230818361407823470020611650986428634714226323132659389789979252041449183079557857206142797751704087961218550680612877754508129285777571369180275516532647122109184306325936700714349<194>
prime factors 素因数
5443900173415738057736343427461797329989962509714537<52>
composite cofactor 合成数の残り
11625057932473636454472572856586000340721082508882979549152167319015816959970477651392464840701132932389298434702740056013623760371021764735077<143>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.1_MPIR_1.1.1] [ECM]
Input number is 63285654894561230818361407823470020611650986428634714226323132659389789979252041449183079557857206142797751704087961218550680612877754508129285777571369180275516532647122109184306325936700714349 (194 digits)
[Wed Feb 24 07:53:24 2010]
Using MODMULN
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1510619645
dF=65536, k=5, d=690690, d2=17, i0=46
Expected number of curves to find a factor of n digits:
20    25      30      35      40      45      50      55      60      65
2       5       14      55      246     1277    7553    49797   358989  2841353
Step 1 took 1145938ms
Using 45 small primes for NTT
Estimated memory usage: 253M
Initializing tables of differences for F took 282ms
Computing roots of F took 17687ms
Building F from its roots took 16750ms
Computing 1/F took 8625ms
Initializing table of differences for G took 391ms
Computing roots of G took 14140ms
Building G from its roots took 18125ms
Computing roots of G took 14140ms
Building G from its roots took 18110ms
Computing G * H took 4438ms
Reducing  G * H mod F took 4812ms
Computing roots of G took 14125ms
Building G from its roots took 18125ms
Computing G * H took 4469ms
Reducing  G * H mod F took 4796ms
Computing roots of G took 14141ms
Building G from its roots took 18109ms
Computing G * H took 4437ms
Reducing  G * H mod F took 4797ms
Computing roots of G took 14141ms
Building G from its roots took 18125ms
Computing G * H took 4422ms
Reducing  G * H mod F took 4812ms
Computing polyeval(F,G) took 33438ms
Computing product of all F(g_i) took 203ms
Step 2 took 276656ms
********** Factor found in step 2: 5443900173415738057736343427461797329989962509714537
Found probable prime factor of 52 digits: 5443900173415738057736343427461797329989962509714537
Composite cofactor 11625057932473636454472572856586000340721082508882979549152167319015816959970477651392464840701132932389298434702740056013623760371021764735077 has 143 digits
software ソフトウェア
GMP-ECM

c143

name 名前Eric Jeancolas
date 日付April 20, 2020 05:37:51 UTC 2020 年 4 月 20 日 (月) 14 時 37 分 51 秒 (日本時間)
composite number 合成数
11625057932473636454472572856586000340721082508882979549152167319015816959970477651392464840701132932389298434702740056013623760371021764735077<143>
prime factors 素因数
209841140611766991123763631592064470571835663236242433<54>
55399326836397080979868673356045395355906897716395330653655329053444938915835137034298469<89>
factorization results 素因数分解の結果
11625057932473636454472572856586000340721082508882979549152167319015816959970477651392464840701132932389298434702740056013623760371021764735077=209841140611766991123763631592064470571835663236242433*55399326836397080979868673356045395355906897716395330653655329053444938915835137034298469

Info:Square Root: Factors: 209841140611766991123763631592064470571835663236242433 55399326836397080979868673356045395355906897716395330653655329053444938915835137034298469
Info:Square Root: Total cpu/real time for sqrt: 10432.9/1479.91
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 77228.6
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 78417/41.610/51.195/56.090/0.944
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 78417/41.610/45.743/51.890/1.172
Info:Polynomial Selection (size optimized): Total time: 62256.5
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 3057.34
Info:Polynomial Selection (root optimized): Rootsieve time: 3055.89
Info:Generate Factor Base: Total cpu/real time for makefb: 56.44/41.995
Info:Generate Free Relations: Total cpu/real time for freerel: 1358.5/877.635
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 47811418
Info:Lattice Sieving: Average J: 3776.99 for 962563 special-q, max bucket fill -bkmult 1.0,1s:1.219260
Info:Lattice Sieving: Total time: 813714s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 240.57/158.093
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 157.69999999999996s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1793.07/675.007
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 582.8000000000001s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 1224.37/494.539
Info:Filtering - Merging: Total cpu/real time for merge: 1685.8/1451.36
Info:Filtering - Merging: Total cpu/real time for replay: 130.97/101.612
Info:Linear Algebra: Total cpu time for bwc: 334251
Warning:Linear Algebra: some stats could not be displayed for linalg (see log file for debug info)
Info:Quadratic Characters: Total cpu/real time for characters: 146.09/36.9269
Info:Square Root: Total cpu/real time for sqrt: 10432.9/1479.91
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.29069e+06/1528.06
209841140611766991123763631592064470571835663236242433 55399326836397080979868673356045395355906897716395330653655329053444938915835137034298469
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 18.04 LTS
GenuineIntel Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz [Family 6 Model 63 Stepping 2] (12 processors)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6150Lionel DebrouxOctober 27, 2009 14:00:00 UTC 2009 年 10 月 27 日 (火) 23 時 0 分 0 秒 (日本時間)
403e62310Wataru SakaiNovember 23, 2009 03:40:14 UTC 2009 年 11 月 23 日 (月) 12 時 40 分 14 秒 (日本時間)
4511e60 / 2156--
5043e6515 / 7465yoyo@homeFebruary 23, 2010 17:05:10 UTC 2010 年 2 月 24 日 (水) 2 時 5 分 10 秒 (日本時間)

65×10202+619

c199

name 名前Serge Batalov
date 日付January 4, 2014 22:41:42 UTC 2014 年 1 月 5 日 (日) 7 時 41 分 42 秒 (日本時間)
composite number 合成数
2062843741173408992094548062672366462603816578281746371775219851538722750627580538180064043364149045220708412276776505161869761566999577910434498364006232961704099346554574911377059273434698301168839<199>
prime factors 素因数
75604513859787043623894698011576513<35>
27284663783422671890944122699294606632874342349945780818636474178118970666193190567944686857025031380733712099488569238249167190299168981393383043327946095722676103<164>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=145984610
Step 1 took 61718ms
Step 2 took 28394ms
********** Factor found in step 2: 75604513859787043623894698011576513
Found probable prime factor of 35 digits: 75604513859787043623894698011576513
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 23, 2013 19:47:06 UTC 2013 年 11 月 24 日 (日) 4 時 47 分 6 秒 (日本時間)
403e6400 / 429Serge BatalovNovember 23, 2013 19:47:06 UTC 2013 年 11 月 24 日 (日) 4 時 47 分 6 秒 (日本時間)
4511e6500 / 4359Serge BatalovJanuary 4, 2014 22:39:12 UTC 2014 年 1 月 5 日 (日) 7 時 39 分 12 秒 (日本時間)

65×10203+619

c193

name 名前Serge Batalov
date 日付November 23, 2013 19:01:39 UTC 2013 年 11 月 24 日 (日) 4 時 1 分 39 秒 (日本時間)
composite number 合成数
3454501912502404520199725321200168140935235240179032532125687820096217355960234450907629103572898766742046457545632098347960998980998823989511814290181161763087935643406146191478083203463665323<193>
prime factors 素因数
420697889766679677249903936797300603<36>
composite cofactor 合成数の残り
8211360210098229241504255670480613056563275198474119477288187227942246844074386434905063189070777796219306077666379759996179577277547241482866863259756740241<157>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3774594245
Step 1 took 14354ms
********** Factor found in step 1: 420697889766679677249903936797300603
Found probable prime factor of 36 digits: 420697889766679677249903936797300603
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 6, 2014 06:34:54 UTC 2014 年 1 月 6 日 (月) 15 時 34 分 54 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:00:54 UTC 2014 年 1 月 9 日 (木) 14 時 0 分 54 秒 (日本時間)
1500Dmitry DomanovMarch 5, 2014 09:46:02 UTC 2014 年 3 月 5 日 (水) 18 時 46 分 2 秒 (日本時間)
4511e654801000Dmitry DomanovApril 21, 2014 12:58:58 UTC 2014 年 4 月 21 日 (月) 21 時 58 分 58 秒 (日本時間)
4480Ignacio SantosFebruary 12, 2022 21:50:45 UTC 2022 年 2 月 13 日 (日) 6 時 50 分 45 秒 (日本時間)

65×10205+619

c172

name 名前Serge Batalov
date 日付November 23, 2013 18:40:12 UTC 2013 年 11 月 24 日 (日) 3 時 40 分 12 秒 (日本時間)
composite number 合成数
5267339903764557334561511329549208639687202893830542515953883733842731332099416273835247478755810910689420891546447266437369091277022283315095738450443121577100386085770569<172>
prime factors 素因数
194224868199843950399665356430651<33>
27119801663836522911190771093254442471441599405090744535923966611366120697577483680671937894492931720498782200558457527333528212207494758219<140>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1752850463
Step 1 took 3857ms
Step 2 took 2414ms
********** Factor found in step 2: 194224868199843950399665356430651
Found probable prime factor of 33 digits: 194224868199843950399665356430651
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)

65×10207+619

c176

composite cofactor 合成数の残り
28849203727109600650375289263253722094204718811183508518840668175433615481182830203903495969687178889939054808942914450587578489287934627877322672523478119862788951451872241183<176>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 23, 2013 19:47:08 UTC 2013 年 11 月 24 日 (日) 4 時 47 分 8 秒 (日本時間)
403e62200400Serge BatalovNovember 23, 2013 19:47:08 UTC 2013 年 11 月 24 日 (日) 4 時 47 分 8 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:00:55 UTC 2014 年 1 月 9 日 (木) 14 時 0 分 55 秒 (日本時間)
1500Dmitry DomanovMarch 5, 2014 09:46:23 UTC 2014 年 3 月 5 日 (水) 18 時 46 分 23 秒 (日本時間)
4511e61000 / 3961Dmitry DomanovApril 21, 2014 12:59:14 UTC 2014 年 4 月 21 日 (月) 21 時 59 分 14 秒 (日本時間)

65×10208+619

c208

name 名前Bob Backstrom
date 日付August 31, 2017 21:06:21 UTC 2017 年 9 月 1 日 (金) 6 時 6 分 21 秒 (日本時間)
composite number 合成数
3801169590643274853801169590643274853801169590643274853801169590643274853801169590643274853801169590643274853801169590643274853801169590643274853801169590643274853801169590643274853801169590643274853801169591<208>
prime factors 素因数
1073356099170639612579234679819482134048943094167924751<55>
8380578418517208199483852394840604671234963092385668754231<58>
422570741589865392065903470333641838731064155840219577688176262662856320017096024592096892019311<96>
factorization results 素因数分解の結果
Number: n
N=3801169590643274853801169590643274853801169590643274853801169590643274853801169590643274853801169590643274853801169590643274853801169590643274853801169590643274853801169590643274853801169590643274853801169591
  ( 208 digits)
SNFS difficulty: 210 digits.
Divisors found:

Fri Sep  1 06:59:37 2017  prp55 factor: 1073356099170639612579234679819482134048943094167924751
Fri Sep  1 06:59:37 2017  prp58 factor: 8380578418517208199483852394840604671234963092385668754231
Fri Sep  1 06:59:37 2017  prp96 factor: 422570741589865392065903470333641838731064155840219577688176262662856320017096024592096892019311
Fri Sep  1 06:59:37 2017  elapsed time 11:15:28 (Msieve 1.44 - dependency 4)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=3.826).
Factorization parameters were as follows:
#
# 65x10^208+61 72(207)9
#
n: 3801169590643274853801169590643274853801169590643274853801169590643274853801169590643274853801169590643274853801169590643274853801169590643274853801169590643274853801169590643274853801169590643274853801169591
m: 500000000000000000000000000000000000000000
deg: 5
c5: 104
c0: 305
skew: 1.24
# Murphy_E = 4.224e-12
type: snfs
lss: 1
rlim: 23000000
alim: 23000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 23000000/23000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 39500000)
Primes: RFBsize:1448221, AFBsize:1447842,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 12910830 hash collisions in 74166641 relations (62119130 unique)
Msieve: matrix is 3050768 x 3050993 (864.2 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 10hrs 38min 2sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 15min 12sec.

Prototype def-par.txt line would be:
snfs,210,5,0,0,0,0,0,0,0,0,23000000,23000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 23, 2013 19:47:09 UTC 2013 年 11 月 24 日 (日) 4 時 47 分 9 秒 (日本時間)
403e6400Serge BatalovNovember 23, 2013 19:47:09 UTC 2013 年 11 月 24 日 (日) 4 時 47 分 9 秒 (日本時間)
4511e63200500Serge BatalovJanuary 4, 2014 22:39:22 UTC 2014 年 1 月 5 日 (日) 7 時 39 分 22 秒 (日本時間)
1800Serge BatalovMay 24, 2014 03:26:02 UTC 2014 年 5 月 24 日 (土) 12 時 26 分 2 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:22 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 22 秒 (日本時間)
5043e6500 / 6816Serge BatalovJanuary 4, 2014 23:01:18 UTC 2014 年 1 月 5 日 (日) 8 時 1 分 18 秒 (日本時間)

65×10209+619

c203

name 名前Bob Backstrom
date 日付August 12, 2020 08:30:03 UTC 2020 年 8 月 12 日 (水) 17 時 30 分 3 秒 (日本時間)
composite number 合成数
11701364100561659896176388637917131555111595000321076429870103823197313814694724615155681311735733167176843441136362600833827324420937160054557952158742447991365531026418041914937884181773951316503462971<203>
prime factors 素因数
6599253260877866470560343088482144903170855955038553<52>
19788263813331337179486176980793461481759605124535428705905639506226982431<74>
89605363455081750665473795574805491746437206474793979836973209605450296149997<77>
factorization results 素因数分解の結果
Number: n
N=11701364100561659896176388637917131555111595000321076429870103823197313814694724615155681311735733167176843441136362600833827324420937160054557952158742447991365531026418041914937884181773951316503462971  ( 203 digits)
SNFS difficulty: 211 digits.
Divisors found:

Wed Aug 12 18:14:42 2020  found factor: 6599253260877866470560343088482144903170855955038553
Wed Aug 12 18:19:21 2020  found factor: 6599253260877866470560343088482144903170855955038553
Wed Aug 12 18:24:00 2020  p52 factor: 6599253260877866470560343088482144903170855955038553
Wed Aug 12 18:24:00 2020  p74 factor: 19788263813331337179486176980793461481759605124535428705905639506226982431
Wed Aug 12 18:24:00 2020  p77 factor: 89605363455081750665473795574805491746437206474793979836973209605450296149997
Wed Aug 12 18:24:00 2020  elapsed time 03:34:32 (Msieve 1.54 - dependency 5)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.122).
Factorization parameters were as follows:
#
# N = 65x10^209+61 = 72(208)9
#
n: 11701364100561659896176388637917131555111595000321076429870103823197313814694724615155681311735733167176843441136362600833827324420937160054557952158742447991365531026418041914937884181773951316503462971
m: 100000000000000000000000000000000000
deg: 6
c6: 13
c0: 122
skew: 1.45
# Murphy_E = 5.093e-12
type: snfs
lss: 1
rlim: 23000000
alim: 23000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 23000000/23000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 51500000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8886807 hash collisions in 60072895 relations (53867279 unique)
Msieve: matrix is 2734674 x 2734899 (954.7 MB)

Sieving start time: 2020/08/11 17:18:31
Sieving end time  : 2020/08/12 14:48:37

Total sieving time: 21hrs 30min 6secs.

Total relation processing time: 2hrs 52min 44sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 23min 15sec.

Prototype def-par.txt line would be:
snfs,211,6,0,0,0,0,0,0,0,0,23000000,23000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.154206] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283136K/16703460K available (12300K kernel code, 2481K rwdata, 4272K rodata, 2436K init, 2720K bss, 420324K reserved, 0K cma-reserved)
[    0.188728] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.50 BogoMIPS (lpj=11977004)
[    0.186225] smpboot: Total of 16 processors activated (95816.03 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 23, 2013 19:47:10 UTC 2013 年 11 月 24 日 (日) 4 時 47 分 10 秒 (日本時間)
403e62200400Serge BatalovNovember 23, 2013 19:47:10 UTC 2013 年 11 月 24 日 (日) 4 時 47 分 10 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:00:55 UTC 2014 年 1 月 9 日 (木) 14 時 0 分 55 秒 (日本時間)
1500Dmitry DomanovMarch 5, 2014 09:46:46 UTC 2014 年 3 月 5 日 (水) 18 時 46 分 46 秒 (日本時間)
4511e61000 / 3961Dmitry DomanovApril 22, 2014 10:13:39 UTC 2014 年 4 月 22 日 (火) 19 時 13 分 39 秒 (日本時間)

65×10212+619

c209

name 名前Serge Batalov
date 日付January 4, 2014 23:05:18 UTC 2014 年 1 月 5 日 (日) 8 時 5 分 18 秒 (日本時間)
composite number 合成数
25635261499386725667206979101346048423037029149264267994967600973351159699791368410258837263416115508544429852064821716615987726625571370539957484904774863245739616733121152245846101665503220183232961424847273<209>
prime factors 素因数
19930439048723954890127037986526729930727<41>
1286236667276430203710156799814154054763343503116606354158892953959728385137730866729298624219567953629143962355725412644654104968090760112712071532957682633524009813999<169>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=4045537381
Step 1 took 66530ms
Step 2 took 34533ms
********** Factor found in step 2: 19930439048723954890127037986526729930727
Found probable prime factor of 41 digits: 19930439048723954890127037986526729930727
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 23, 2013 19:47:11 UTC 2013 年 11 月 24 日 (日) 4 時 47 分 11 秒 (日本時間)
403e6400Serge BatalovNovember 23, 2013 19:47:11 UTC 2013 年 11 月 24 日 (日) 4 時 47 分 11 秒 (日本時間)
4511e6500 / 2605Serge BatalovJanuary 4, 2014 22:39:22 UTC 2014 年 1 月 5 日 (日) 7 時 39 分 22 秒 (日本時間)
5043e6500 / 7422Serge BatalovJanuary 4, 2014 23:01:19 UTC 2014 年 1 月 5 日 (日) 8 時 1 分 19 秒 (日本時間)

65×10213+619

c186

composite cofactor 合成数の残り
781717127720007380573416782624977360199343885737516846342997443307070683320626188891410765488386821219046211553357161013950949750385487664476813655706542657054566335653608802512848738817<186>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 23, 2013 19:47:12 UTC 2013 年 11 月 24 日 (日) 4 時 47 分 12 秒 (日本時間)
403e62200400Serge BatalovNovember 23, 2013 19:47:12 UTC 2013 年 11 月 24 日 (日) 4 時 47 分 12 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:00:56 UTC 2014 年 1 月 9 日 (木) 14 時 0 分 56 秒 (日本時間)
1500Dmitry DomanovMarch 5, 2014 09:47:37 UTC 2014 年 3 月 5 日 (水) 18 時 47 分 37 秒 (日本時間)
4511e61000 / 3961Dmitry DomanovApril 22, 2014 10:13:54 UTC 2014 年 4 月 22 日 (火) 19 時 13 分 54 秒 (日本時間)

65×10214+619

c206

name 名前Serge Batalov
date 日付November 23, 2013 18:45:07 UTC 2013 年 11 月 24 日 (日) 3 時 45 分 7 秒 (日本時間)
composite number 合成数
13826164200382372538562411895907438224590880853678833184295823568482824325437045108337621328316211944002822455122039531492711495839930101778387037105059283283702856680411028260202367664394116063650338564483<206>
prime factors 素因数
461860333271703024535676709621338629<36>
29935812202016322153698704602048784891323634198719036270404054964529189512364929086583298210681803085378771051222949523112318097060220598488845251768735709239387356183527<170>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1840854761
Step 1 took 5792ms
Step 2 took 3044ms
********** Factor found in step 2: 461860333271703024535676709621338629
Found probable prime factor of 36 digits: 461860333271703024535676709621338629
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)

65×10215+619

c209

name 名前Serge Batalov
date 日付November 23, 2013 18:38:11 UTC 2013 年 11 月 24 日 (日) 3 時 38 分 11 秒 (日本時間)
composite number 合成数
14193910288839981914861960652126673906128670386611042522861077677355425748533710653762795026730725225028015448800448511842642100405760439955666172847425646887843557620721461654641465767643605342394795539440969<209>
prime factors 素因数
10388736044806536995573275069<29>
1366278845436226147295932177960290518658796405899470133172049574407843172181585366363180133016633472805350374615126497144856791038227390438057148057737764981568194936008366074111101<181>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1783294109
Step 1 took 5788ms
Step 2 took 3043ms
********** Factor found in step 2: 10388736044806536995573275069
Found probable prime factor of 29 digits: 10388736044806536995573275069
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)

65×10216+619

c211

name 名前Bob Backstrom
date 日付September 20, 2019 13:29:06 UTC 2019 年 9 月 20 日 (金) 22 時 29 分 6 秒 (日本時間)
composite number 合成数
2025338732450167241566855637002215751732357905272539394941582531758791380046182085367902936544859990981945600834963029934163715981826417440322693169563820246264363974932289031292013120331263156717252461620064713<211>
prime factors 素因数
1831640654784059352452892655780390649464874426485927768359270570027649<70>
1105751134732780790797090633352196632453231415958857951972733465631596894333797494025411516427767371197153369649749489932803599101949892203337<142>
factorization results 素因数分解の結果
Number: n
N=2025338732450167241566855637002215751732357905272539394941582531758791380046182085367902936544859990981945600834963029934163715981826417440322693169563820246264363974932289031292013120331263156717252461620064713
  ( 211 digits)
SNFS difficulty: 217 digits.
Divisors found:

Fri Sep 20 23:21:14 2019  p70 factor: 1831640654784059352452892655780390649464874426485927768359270570027649
Fri Sep 20 23:21:14 2019  p142 factor: 1105751134732780790797090633352196632453231415958857951972733465631596894333797494025411516427767371197153369649749489932803599101949892203337
Fri Sep 20 23:21:14 2019  elapsed time 05:27:39 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.119).
Factorization parameters were as follows:
#
# N = 65x10^216+61 = 72(215)9
#
n: 2025338732450167241566855637002215751732357905272539394941582531758791380046182085367902936544859990981945600834963029934163715981826417440322693169563820246264363974932289031292013120331263156717252461620064713
m: 1000000000000000000000000000000000000
deg: 6
c6: 65
c0: 61
skew: 0.99
# Murphy_E = 3.013e-12
type: snfs
lss: 1
rlim: 30000000
alim: 30000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 30000000/30000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 62200000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 11910851 hash collisions in 71622695 relations (61185317 unique)
Msieve: matrix is 3429443 x 3429671 (1199.1 MB)

Sieving start time: 2019/09/19 15:21:02
Sieving end time  : 2019/09/20 17:51:27

Total sieving time: 26hrs 30min 25secs.

Total relation processing time: 4hrs 53min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 12min 52sec.

Prototype def-par.txt line would be:
snfs,217,6,0,0,0,0,0,0,0,0,30000000,30000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.048000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284064K/16703460K available (12300K kernel code, 2481K rwdata, 4172K rodata, 2436K init, 2384K bss, 419396K reserved, 0K cma-reserved)
[    0.080573] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.87 BogoMIPS (lpj=11977744)
[    0.078218] smpboot: Total of 16 processors activated (95821.95 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 23, 2013 19:47:14 UTC 2013 年 11 月 24 日 (日) 4 時 47 分 14 秒 (日本時間)
403e62200400Serge BatalovNovember 23, 2013 19:47:14 UTC 2013 年 11 月 24 日 (日) 4 時 47 分 14 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:00:57 UTC 2014 年 1 月 9 日 (木) 14 時 0 分 57 秒 (日本時間)
1500Dmitry DomanovMarch 5, 2014 09:48:06 UTC 2014 年 3 月 5 日 (水) 18 時 48 分 6 秒 (日本時間)
4511e61000 / 3961Dmitry DomanovApril 22, 2014 10:14:09 UTC 2014 年 4 月 22 日 (火) 19 時 14 分 9 秒 (日本時間)

65×10217+619

c211

name 名前Bob Backstrom
date 日付September 29, 2019 06:49:13 UTC 2019 年 9 月 29 日 (日) 15 時 49 分 13 秒 (日本時間)
composite number 合成数
4583634328259116148793204182454906963541187258181997065359854185142679616181128981432042871733220014609946575344310799065748137374962069544465515764038707621312458249702280609825609708515480791261370260276174969<211>
prime factors 素因数
1530721373166846694945769560816484394797023602278684801950758097180003030760760469523936072747<94>
2994427600351736775821529727715799165043635753669325793153456570139366605946161559182493601745929174789998189320296427<118>
factorization results 素因数分解の結果
*** Solution at DEPENDENCY 12, including eight times "Newton iteration failed to converge". ***

[ Maybe let Jason Papadopoulos know about these failed iterations. ]

--Bob Backstrom

...
Sun Sep 29 14:37:35 2019  Newton iteration failed to converge
Sun Sep 29 14:57:28 2019  Newton iteration failed to converge
Sun Sep 29 15:07:21 2019  Newton iteration failed to converge
Sun Sep 29 15:17:18 2019  Newton iteration failed to converge
Sun Sep 29 15:37:13 2019  Newton iteration failed to converge
Sun Sep 29 15:47:18 2019  Newton iteration failed to converge
Sun Sep 29 15:57:34 2019  Newton iteration failed to converge
Sun Sep 29 16:17:56 2019  Newton iteration failed to converge
...

See msieve.log, below.
===================

Number: n
N=4583634328259116148793204182454906963541187258181997065359854185142679616181128981432042871733220014609946575344310799065748137374962069544465515764038707621312458249702280609825609708515480791261370260276174969
  ( 211 digits)
SNFS difficulty: 218 digits.
Divisors found:

Sun Sep 29 16:28:14 2019  p94 factor: 1530721373166846694945769560816484394797023602278684801950758097180003030760760469523936072747
Sun Sep 29 16:28:14 2019  p118 factor: 2994427600351736775821529727715799165043635753669325793153456570139366605946161559182493601745929174789998189320296427
Sun Sep 29 16:28:14 2019  elapsed time 10:38:38 (Msieve 1.54 - dependency 12)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.118).
Factorization parameters were as follows:
#
# N = 65x10^217+61 = 72(216)9
#
n: 4583634328259116148793204182454906963541187258181997065359854185142679616181128981432042871733220014609946575344310799065748137374962069544465515764038707621312458249702280609825609708515480791261370260276174969
m: 1000000000000000000000000000000000000
deg: 6
c6: 650
c0: 61
skew: 0.67
# Murphy_E = 1.995e-12
type: snfs
lss: 1
rlim: 31000000
alim: 31000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 31000000/31000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 62700000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 10197328 hash collisions in 57361901 relations (49049771 unique)
Msieve: matrix is 4410457 x 4410682 (1550.4 MB)

Sieving start time: 2019/09/28 03:04:16
Sieving end time  : 2019/09/29 05:48:44

Total sieving time: 26hrs 44min 28secs.

Total relation processing time: 8hrs 18min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 2hrs 0min 37sec.

Prototype def-par.txt line would be:
snfs,218,6,0,0,0,0,0,0,0,0,31000000,31000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.048000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284064K/16703460K available (12300K kernel code, 2481K rwdata, 4172K rodata, 2436K init, 2384K bss, 419396K reserved, 0K cma-reserved)
[    0.080570] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.90 BogoMIPS (lpj=11977816)
[    0.078218] smpboot: Total of 16 processors activated (95822.52 BogoMIPS)

===========================
msieve.log:

Sun Sep 29 05:48:44 2019
Sun Sep 29 05:48:44 2019
Sun Sep 29 05:48:44 2019  Msieve v. 1.54 (SVN Unversioned directory)
Sun Sep 29 05:48:44 2019  random seeds: 2780577c 48db443b
Sun Sep 29 05:48:44 2019  factoring 4583634328259116148793204182454906963541187258181997065359854185142679616181128981432042871733220014609946575344310799065748137374962069544465515764038707621312458249702280609825609708515480791261370260276174969 (211 digits)
Sun Sep 29 05:48:44 2019  no P-1/P+1/ECM available, skipping
Sun Sep 29 05:48:44 2019  commencing number field sieve (211-digit input)
Sun Sep 29 05:48:44 2019  R0: -1000000000000000000000000000000000000
Sun Sep 29 05:48:44 2019  R1: 1
Sun Sep 29 05:48:44 2019  A0: 61
Sun Sep 29 05:48:44 2019  A1: 0
Sun Sep 29 05:48:44 2019  A2: 0
Sun Sep 29 05:48:44 2019  A3: 0
Sun Sep 29 05:48:44 2019  A4: 0
Sun Sep 29 05:48:44 2019  A5: 0
Sun Sep 29 05:48:44 2019  A6: 650
Sun Sep 29 05:48:44 2019  skew 1.00, size 4.752e-11, alpha -0.364, combined = 2.003e-12 rroots = 0
Sun Sep 29 05:48:44 2019
Sun Sep 29 05:48:44 2019  commencing relation filtering
Sun Sep 29 05:48:44 2019  estimated available RAM is 16031.8 MB
Sun Sep 29 05:48:44 2019  commencing duplicate removal, pass 1
Sun Sep 29 05:48:44 2019  found 0 hash collisions in 0 relations
Sun Sep 29 05:48:44 2019  reading ideals above 30000
Sun Sep 29 05:48:44 2019  commencing singleton removal, initial pass
Sun Sep 29 05:48:44 2019  memory use: 0.1 MB
Sun Sep 29 05:48:44 2019  reading all ideals from disk
Sun Sep 29 05:48:44 2019  memory use: 0.0 MB
Sun Sep 29 05:48:44 2019  commencing in-memory singleton removal
Sun Sep 29 05:48:44 2019  begin with 0 relations and 0 unique ideals
Sun Sep 29 05:48:44 2019  reduce to 0 relations and 0 ideals in 1 passes
Sun Sep 29 05:48:44 2019  max relations containing the same ideal: 0
Sun Sep 29 05:48:44 2019  filtering wants 1000000 more relations
Sun Sep 29 05:48:44 2019  elapsed time 00:00:00
Sun Sep 29 05:49:36 2019
Sun Sep 29 05:49:36 2019
Sun Sep 29 05:49:36 2019  Msieve v. 1.54 (SVN Unversioned directory)
Sun Sep 29 05:49:36 2019  random seeds: fa0f3215 db7d45bf
Sun Sep 29 05:49:36 2019  factoring 4583634328259116148793204182454906963541187258181997065359854185142679616181128981432042871733220014609946575344310799065748137374962069544465515764038707621312458249702280609825609708515480791261370260276174969 (211 digits)
Sun Sep 29 05:49:36 2019  no P-1/P+1/ECM available, skipping
Sun Sep 29 05:49:36 2019  commencing number field sieve (211-digit input)
Sun Sep 29 05:49:36 2019  R0: -1000000000000000000000000000000000000
Sun Sep 29 05:49:36 2019  R1: 1
Sun Sep 29 05:49:36 2019  A0: 61
Sun Sep 29 05:49:36 2019  A1: 0
Sun Sep 29 05:49:36 2019  A2: 0
Sun Sep 29 05:49:36 2019  A3: 0
Sun Sep 29 05:49:36 2019  A4: 0
Sun Sep 29 05:49:36 2019  A5: 0
Sun Sep 29 05:49:36 2019  A6: 650
Sun Sep 29 05:49:36 2019  skew 1.00, size 4.752e-11, alpha -0.364, combined = 2.003e-12 rroots = 0
Sun Sep 29 05:49:36 2019
Sun Sep 29 05:49:36 2019  commencing relation filtering
Sun Sep 29 05:49:36 2019  estimated available RAM is 16031.8 MB
Sun Sep 29 05:49:36 2019  commencing duplicate removal, pass 1
Sun Sep 29 05:49:56 2019  error -15 reading relation 2999452
Sun Sep 29 05:50:10 2019  error -11 reading relation 4994469
Sun Sep 29 05:50:18 2019  error -9 reading relation 5988751
Sun Sep 29 05:50:31 2019  error -15 reading relation 7975500
Sun Sep 29 05:50:38 2019  error -9 reading relation 9055236
Sun Sep 29 05:51:35 2019  error -9 reading relation 18035937
Sun Sep 29 05:51:40 2019  error -5 reading relation 18747220
Sun Sep 29 05:51:49 2019  error -9 reading relation 20167090
Sun Sep 29 05:51:58 2019  error -5 reading relation 21581617
Sun Sep 29 05:52:09 2019  error -9 reading relation 23239417
Sun Sep 29 05:52:21 2019  error -9 reading relation 25129858
Sun Sep 29 05:52:27 2019  error -15 reading relation 26077537
Sun Sep 29 05:52:33 2019  error -15 reading relation 27018718
Sun Sep 29 05:52:45 2019  error -15 reading relation 28908112
Sun Sep 29 05:52:51 2019  error -11 reading relation 29850931
Sun Sep 29 05:54:34 2019  error -15 reading relation 45791551
Sun Sep 29 05:54:34 2019  error -15 reading relation 45802973
Sun Sep 29 05:54:34 2019  error -15 reading relation 45804589
Sun Sep 29 05:54:35 2019  error -9 reading relation 45991513
Sun Sep 29 05:54:36 2019  error -15 reading relation 46075618
Sun Sep 29 05:55:49 2019  skipped 3 relations with b > 2^32
Sun Sep 29 05:55:49 2019  skipped 26 relations with composite factors
Sun Sep 29 05:55:49 2019  found 10197328 hash collisions in 57361901 relations
Sun Sep 29 05:56:01 2019  added 1217421 free relations
Sun Sep 29 05:56:01 2019  commencing duplicate removal, pass 2
Sun Sep 29 05:56:21 2019  found 9529551 duplicates and 49049771 unique relations
Sun Sep 29 05:56:21 2019  memory use: 330.4 MB
Sun Sep 29 05:56:21 2019  reading ideals above 720000
Sun Sep 29 05:56:21 2019  commencing singleton removal, initial pass
Sun Sep 29 06:01:40 2019  memory use: 1378.0 MB
Sun Sep 29 06:01:40 2019  reading all ideals from disk
Sun Sep 29 06:01:40 2019  memory use: 1778.9 MB
Sun Sep 29 06:01:44 2019  keeping 46845049 ideals with weight <= 200, target excess is 261637
Sun Sep 29 06:01:47 2019  commencing in-memory singleton removal
Sun Sep 29 06:01:50 2019  begin with 49049771 relations and 46845049 unique ideals
Sun Sep 29 06:02:23 2019  reduce to 30504174 relations and 26251232 ideals in 14 passes
Sun Sep 29 06:02:23 2019  max relations containing the same ideal: 154
Sun Sep 29 06:02:35 2019  removing 2556139 relations and 2156139 ideals in 400000 cliques
Sun Sep 29 06:02:35 2019  commencing in-memory singleton removal
Sun Sep 29 06:02:37 2019  begin with 27948035 relations and 26251232 unique ideals
Sun Sep 29 06:02:55 2019  reduce to 27758827 relations and 23902450 ideals in 9 passes
Sun Sep 29 06:02:55 2019  max relations containing the same ideal: 143
Sun Sep 29 06:03:05 2019  removing 1929304 relations and 1529304 ideals in 400000 cliques
Sun Sep 29 06:03:06 2019  commencing in-memory singleton removal
Sun Sep 29 06:03:07 2019  begin with 25829523 relations and 23902450 unique ideals
Sun Sep 29 06:03:20 2019  reduce to 25722668 relations and 22264735 ideals in 7 passes
Sun Sep 29 06:03:20 2019  max relations containing the same ideal: 138
Sun Sep 29 06:03:30 2019  removing 1726562 relations and 1326562 ideals in 400000 cliques
Sun Sep 29 06:03:30 2019  commencing in-memory singleton removal
Sun Sep 29 06:03:32 2019  begin with 23996106 relations and 22264735 unique ideals
Sun Sep 29 06:03:43 2019  reduce to 23908720 relations and 20849517 ideals in 7 passes
Sun Sep 29 06:03:43 2019  max relations containing the same ideal: 132
Sun Sep 29 06:03:52 2019  removing 1613371 relations and 1213371 ideals in 400000 cliques
Sun Sep 29 06:03:53 2019  commencing in-memory singleton removal
Sun Sep 29 06:03:54 2019  begin with 22295349 relations and 20849517 unique ideals
Sun Sep 29 06:04:07 2019  reduce to 22216758 relations and 19556285 ideals in 8 passes
Sun Sep 29 06:04:07 2019  max relations containing the same ideal: 127
Sun Sep 29 06:04:15 2019  removing 1539519 relations and 1139519 ideals in 400000 cliques
Sun Sep 29 06:04:15 2019  commencing in-memory singleton removal
Sun Sep 29 06:04:17 2019  begin with 20677239 relations and 19556285 unique ideals
Sun Sep 29 06:04:27 2019  reduce to 20602970 relations and 18341339 ideals in 7 passes
Sun Sep 29 06:04:27 2019  max relations containing the same ideal: 121
Sun Sep 29 06:04:34 2019  removing 1482984 relations and 1082984 ideals in 400000 cliques
Sun Sep 29 06:04:35 2019  commencing in-memory singleton removal
Sun Sep 29 06:04:36 2019  begin with 19119986 relations and 18341339 unique ideals
Sun Sep 29 06:04:45 2019  reduce to 19046613 relations and 17183676 ideals in 7 passes
Sun Sep 29 06:04:45 2019  max relations containing the same ideal: 115
Sun Sep 29 06:04:52 2019  removing 1445183 relations and 1045183 ideals in 400000 cliques
Sun Sep 29 06:04:53 2019  commencing in-memory singleton removal
Sun Sep 29 06:04:54 2019  begin with 17601430 relations and 17183676 unique ideals
Sun Sep 29 06:05:02 2019  reduce to 17527743 relations and 16063463 ideals in 7 passes
Sun Sep 29 06:05:02 2019  max relations containing the same ideal: 106
Sun Sep 29 06:05:09 2019  removing 1413821 relations and 1013821 ideals in 400000 cliques
Sun Sep 29 06:05:09 2019  commencing in-memory singleton removal
Sun Sep 29 06:05:10 2019  begin with 16113922 relations and 16063463 unique ideals
Sun Sep 29 06:05:17 2019  reduce to 16038383 relations and 14972614 ideals in 6 passes
Sun Sep 29 06:05:17 2019  max relations containing the same ideal: 99
Sun Sep 29 06:05:23 2019  removing 1390592 relations and 990592 ideals in 400000 cliques
Sun Sep 29 06:05:23 2019  commencing in-memory singleton removal
Sun Sep 29 06:05:24 2019  begin with 14647791 relations and 14972614 unique ideals
Sun Sep 29 06:05:30 2019  reduce to 14567555 relations and 13900121 ideals in 6 passes
Sun Sep 29 06:05:30 2019  max relations containing the same ideal: 94
Sun Sep 29 06:05:36 2019  removing 1271003 relations and 907068 ideals in 363935 cliques
Sun Sep 29 06:05:36 2019  commencing in-memory singleton removal
Sun Sep 29 06:05:37 2019  begin with 13296552 relations and 13900121 unique ideals
Sun Sep 29 06:05:42 2019  reduce to 13222391 relations and 12917354 ideals in 6 passes
Sun Sep 29 06:05:42 2019  max relations containing the same ideal: 86
Sun Sep 29 06:05:49 2019  relations with 0 large ideals: 9197
Sun Sep 29 06:05:49 2019  relations with 1 large ideals: 4274
Sun Sep 29 06:05:49 2019  relations with 2 large ideals: 36122
Sun Sep 29 06:05:49 2019  relations with 3 large ideals: 262397
Sun Sep 29 06:05:49 2019  relations with 4 large ideals: 1031317
Sun Sep 29 06:05:49 2019  relations with 5 large ideals: 2410591
Sun Sep 29 06:05:49 2019  relations with 6 large ideals: 3492660
Sun Sep 29 06:05:49 2019  relations with 7+ large ideals: 5975833
Sun Sep 29 06:05:49 2019  commencing 2-way merge
Sun Sep 29 06:05:56 2019  reduce to 9065817 relation sets and 8760780 unique ideals
Sun Sep 29 06:05:56 2019  commencing full merge
Sun Sep 29 06:08:23 2019  memory use: 1125.0 MB
Sun Sep 29 06:08:24 2019  found 4451395 cycles, need 4410980
Sun Sep 29 06:08:25 2019  weight of 4410980 cycles is about 397337754 (90.08/cycle)
Sun Sep 29 06:08:25 2019  distribution of cycle lengths:
Sun Sep 29 06:08:25 2019  1 relations: 225879
Sun Sep 29 06:08:25 2019  2 relations: 370820
Sun Sep 29 06:08:25 2019  3 relations: 439729
Sun Sep 29 06:08:25 2019  4 relations: 445943
Sun Sep 29 06:08:25 2019  5 relations: 439486
Sun Sep 29 06:08:25 2019  6 relations: 411878
Sun Sep 29 06:08:25 2019  7 relations: 380471
Sun Sep 29 06:08:25 2019  8 relations: 338489
Sun Sep 29 06:08:25 2019  9 relations: 293054
Sun Sep 29 06:08:25 2019  10+ relations: 1065231
Sun Sep 29 06:08:25 2019  heaviest cycle: 23 relations
Sun Sep 29 06:08:26 2019  commencing cycle optimization
Sun Sep 29 06:08:33 2019  start with 30228388 relations
Sun Sep 29 06:09:20 2019  pruned 1153733 relations
Sun Sep 29 06:09:21 2019  memory use: 866.8 MB
Sun Sep 29 06:09:21 2019  distribution of cycle lengths:
Sun Sep 29 06:09:21 2019  1 relations: 225879
Sun Sep 29 06:09:21 2019  2 relations: 380552
Sun Sep 29 06:09:21 2019  3 relations: 460408
Sun Sep 29 06:09:21 2019  4 relations: 463868
Sun Sep 29 06:09:21 2019  5 relations: 459999
Sun Sep 29 06:09:21 2019  6 relations: 427953
Sun Sep 29 06:09:21 2019  7 relations: 393307
Sun Sep 29 06:09:21 2019  8 relations: 346929
Sun Sep 29 06:09:21 2019  9 relations: 296444
Sun Sep 29 06:09:21 2019  10+ relations: 955641
Sun Sep 29 06:09:21 2019  heaviest cycle: 23 relations
Sun Sep 29 06:09:26 2019  RelProcTime: 1190
Sun Sep 29 06:09:26 2019
Sun Sep 29 06:09:26 2019  commencing linear algebra
Sun Sep 29 06:09:26 2019  read 4410980 cycles
Sun Sep 29 06:09:32 2019  cycles contain 13059711 unique relations
Sun Sep 29 06:10:28 2019  read 13059711 relations
Sun Sep 29 06:10:49 2019  using 20 quadratic characters above 4294917295
Sun Sep 29 06:11:40 2019  building initial matrix
Sun Sep 29 06:13:51 2019  memory use: 1695.5 MB
Sun Sep 29 06:13:52 2019  read 4410980 cycles
Sun Sep 29 06:13:53 2019  matrix is 4410803 x 4410980 (1620.8 MB) with weight 475489570 (107.80/col)
Sun Sep 29 06:13:53 2019  sparse part has weight 376368026 (85.33/col)
Sun Sep 29 06:14:28 2019  filtering completed in 2 passes
Sun Sep 29 06:14:28 2019  matrix is 4410505 x 4410682 (1620.8 MB) with weight 475478028 (107.80/col)
Sun Sep 29 06:14:28 2019  sparse part has weight 376363286 (85.33/col)
Sun Sep 29 06:14:41 2019  matrix starts at (0, 0)
Sun Sep 29 06:14:41 2019  matrix is 4410505 x 4410682 (1620.8 MB) with weight 475478028 (107.80/col)
Sun Sep 29 06:14:41 2019  sparse part has weight 376363286 (85.33/col)
Sun Sep 29 06:14:41 2019  saving the first 48 matrix rows for later
Sun Sep 29 06:14:42 2019  matrix includes 64 packed rows
Sun Sep 29 06:14:42 2019  matrix is 4410457 x 4410682 (1550.4 MB) with weight 392190184 (88.92/col)
Sun Sep 29 06:14:42 2019  sparse part has weight 362334120 (82.15/col)
Sun Sep 29 06:14:43 2019  using block size 8192 and superblock size 1572864 for processor cache size 16384 kB
Sun Sep 29 06:14:54 2019  commencing Lanczos iteration (16 threads)
Sun Sep 29 06:14:54 2019  memory use: 1486.2 MB
Sun Sep 29 06:15:05 2019  linear algebra at 0.0%, ETA 8h 4m
Sun Sep 29 06:15:09 2019  checkpointing every 530000 dimensions
Sun Sep 29 14:27:33 2019  lanczos halted after 69750 iterations (dim = 4410456)
Sun Sep 29 14:27:37 2019  recovered 36 nontrivial dependencies
Sun Sep 29 14:27:37 2019  BLanczosTime: 29891
Sun Sep 29 14:27:37 2019
Sun Sep 29 14:27:37 2019  commencing square root phase
Sun Sep 29 14:27:37 2019  reading relations for dependency 1
Sun Sep 29 14:27:38 2019  read 2206248 cycles
Sun Sep 29 14:27:40 2019  cycles contain 6531932 unique relations
Sun Sep 29 14:28:10 2019  read 6531932 relations
Sun Sep 29 14:28:35 2019  multiplying 6531932 relations
Sun Sep 29 14:32:46 2019  multiply complete, coefficients have about 217.80 million bits
Sun Sep 29 14:32:47 2019  initial square root is modulo 65509027
Sun Sep 29 14:37:35 2019  Newton iteration failed to converge
Sun Sep 29 14:37:35 2019  algebraic square root failed
Sun Sep 29 14:37:35 2019  reading relations for dependency 2
Sun Sep 29 14:37:35 2019  read 2204272 cycles
Sun Sep 29 14:37:38 2019  cycles contain 6525374 unique relations
Sun Sep 29 14:38:08 2019  read 6525374 relations
Sun Sep 29 14:38:34 2019  multiplying 6525374 relations
Sun Sep 29 14:42:41 2019  multiply complete, coefficients have about 217.58 million bits
Sun Sep 29 14:42:43 2019  initial square root is modulo 64310761
Sun Sep 29 14:47:30 2019  GCD is N, no factor found
Sun Sep 29 14:47:30 2019  reading relations for dependency 3
Sun Sep 29 14:47:30 2019  read 2204527 cycles
Sun Sep 29 14:47:33 2019  cycles contain 6531334 unique relations
Sun Sep 29 14:48:03 2019  read 6531334 relations
Sun Sep 29 14:48:28 2019  multiplying 6531334 relations
Sun Sep 29 14:52:39 2019  multiply complete, coefficients have about 217.78 million bits
Sun Sep 29 14:52:40 2019  initial square root is modulo 65398621
Sun Sep 29 14:57:28 2019  Newton iteration failed to converge
Sun Sep 29 14:57:28 2019  algebraic square root failed
Sun Sep 29 14:57:28 2019  reading relations for dependency 4
Sun Sep 29 14:57:28 2019  read 2205868 cycles
Sun Sep 29 14:57:31 2019  cycles contain 6534554 unique relations
Sun Sep 29 14:58:01 2019  read 6534554 relations
Sun Sep 29 14:58:26 2019  multiplying 6534554 relations
Sun Sep 29 15:02:36 2019  multiply complete, coefficients have about 217.88 million bits
Sun Sep 29 15:02:37 2019  initial square root is modulo 65955397
Sun Sep 29 15:07:21 2019  Newton iteration failed to converge
Sun Sep 29 15:07:21 2019  algebraic square root failed
Sun Sep 29 15:07:21 2019  reading relations for dependency 5
Sun Sep 29 15:07:21 2019  read 2203729 cycles
Sun Sep 29 15:07:24 2019  cycles contain 6526364 unique relations
Sun Sep 29 15:07:54 2019  read 6526364 relations
Sun Sep 29 15:08:19 2019  multiplying 6526364 relations
Sun Sep 29 15:12:29 2019  multiply complete, coefficients have about 217.62 million bits
Sun Sep 29 15:12:30 2019  initial square root is modulo 64517983
Sun Sep 29 15:17:18 2019  Newton iteration failed to converge
Sun Sep 29 15:17:18 2019  algebraic square root failed
Sun Sep 29 15:17:18 2019  reading relations for dependency 6
Sun Sep 29 15:17:19 2019  read 2204872 cycles
Sun Sep 29 15:17:21 2019  cycles contain 6529448 unique relations
Sun Sep 29 15:17:51 2019  read 6529448 relations
Sun Sep 29 15:18:16 2019  multiplying 6529448 relations
Sun Sep 29 15:22:27 2019  multiply complete, coefficients have about 217.71 million bits
Sun Sep 29 15:22:28 2019  initial square root is modulo 65040289
Sun Sep 29 15:27:16 2019  GCD is N, no factor found
Sun Sep 29 15:27:16 2019  reading relations for dependency 7
Sun Sep 29 15:27:16 2019  read 2203586 cycles
Sun Sep 29 15:27:19 2019  cycles contain 6526128 unique relations
Sun Sep 29 15:27:49 2019  read 6526128 relations
Sun Sep 29 15:28:14 2019  multiplying 6526128 relations
Sun Sep 29 15:32:24 2019  multiply complete, coefficients have about 217.60 million bits
Sun Sep 29 15:32:25 2019  initial square root is modulo 64428187
Sun Sep 29 15:37:13 2019  Newton iteration failed to converge
Sun Sep 29 15:37:13 2019  algebraic square root failed
Sun Sep 29 15:37:13 2019  reading relations for dependency 8
Sun Sep 29 15:37:14 2019  read 2205264 cycles
Sun Sep 29 15:37:17 2019  cycles contain 6527836 unique relations
Sun Sep 29 15:37:46 2019  read 6527836 relations
Sun Sep 29 15:38:12 2019  multiplying 6527836 relations
Sun Sep 29 15:42:23 2019  multiply complete, coefficients have about 217.66 million bits
Sun Sep 29 15:42:24 2019  initial square root is modulo 64772503
Sun Sep 29 15:47:18 2019  Newton iteration failed to converge
Sun Sep 29 15:47:18 2019  algebraic square root failed
Sun Sep 29 15:47:18 2019  reading relations for dependency 9
Sun Sep 29 15:47:19 2019  read 2204641 cycles
Sun Sep 29 15:47:22 2019  cycles contain 6527658 unique relations
Sun Sep 29 15:47:52 2019  read 6527658 relations
Sun Sep 29 15:48:18 2019  multiplying 6527658 relations
Sun Sep 29 15:52:36 2019  multiply complete, coefficients have about 217.66 million bits
Sun Sep 29 15:52:37 2019  initial square root is modulo 64738309
Sun Sep 29 15:57:34 2019  Newton iteration failed to converge
Sun Sep 29 15:57:34 2019  algebraic square root failed
Sun Sep 29 15:57:34 2019  reading relations for dependency 10
Sun Sep 29 15:57:35 2019  read 2205287 cycles
Sun Sep 29 15:57:38 2019  cycles contain 6532802 unique relations
Sun Sep 29 15:58:08 2019  read 6532802 relations
Sun Sep 29 15:58:34 2019  multiplying 6532802 relations
Sun Sep 29 16:02:53 2019  multiply complete, coefficients have about 217.83 million bits
Sun Sep 29 16:02:54 2019  initial square root is modulo 65644027
Sun Sep 29 16:07:50 2019  GCD is N, no factor found
Sun Sep 29 16:07:50 2019  reading relations for dependency 11
Sun Sep 29 16:07:50 2019  read 2207155 cycles
Sun Sep 29 16:07:53 2019  cycles contain 6533834 unique relations
Sun Sep 29 16:08:24 2019  read 6533834 relations
Sun Sep 29 16:08:49 2019  multiplying 6533834 relations
Sun Sep 29 16:13:06 2019  multiply complete, coefficients have about 217.86 million bits
Sun Sep 29 16:13:07 2019  initial square root is modulo 65829397
Sun Sep 29 16:17:56 2019  Newton iteration failed to converge
Sun Sep 29 16:17:56 2019  algebraic square root failed
Sun Sep 29 16:17:56 2019  reading relations for dependency 12
Sun Sep 29 16:17:56 2019  read 2207022 cycles
Sun Sep 29 16:17:59 2019  cycles contain 6532614 unique relations
Sun Sep 29 16:18:29 2019  read 6532614 relations
Sun Sep 29 16:18:55 2019  multiplying 6532614 relations
Sun Sep 29 16:23:14 2019  multiply complete, coefficients have about 217.82 million bits
Sun Sep 29 16:23:15 2019  initial square root is modulo 65627323
Sun Sep 29 16:28:14 2019  sqrtTime: 7237
Sun Sep 29 16:28:14 2019  p94 factor: 1530721373166846694945769560816484394797023602278684801950758097180003030760760469523936072747
Sun Sep 29 16:28:14 2019  p118 factor: 2994427600351736775821529727715799165043635753669325793153456570139366605946161559182493601745929174789998189320296427
Sun Sep 29 16:28:14 2019  elapsed time 10:38:38

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 23, 2013 19:47:15 UTC 2013 年 11 月 24 日 (日) 4 時 47 分 15 秒 (日本時間)
403e62200400Serge BatalovNovember 23, 2013 19:47:15 UTC 2013 年 11 月 24 日 (日) 4 時 47 分 15 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:00:58 UTC 2014 年 1 月 9 日 (木) 14 時 0 分 58 秒 (日本時間)
1500Dmitry DomanovMarch 5, 2014 09:48:15 UTC 2014 年 3 月 5 日 (水) 18 時 48 分 15 秒 (日本時間)
4511e61000 / 3961Dmitry DomanovApril 22, 2014 10:14:24 UTC 2014 年 4 月 22 日 (火) 19 時 14 分 24 秒 (日本時間)

65×10219+619

c189

name 名前Serge Batalov
date 日付November 23, 2013 19:02:32 UTC 2013 年 11 月 24 日 (日) 4 時 2 分 32 秒 (日本時間)
composite number 合成数
135275016625900493874923547449543111530109607902458212949813003128110711017694326441514735600785430570648050853303599441515292509290124931397407275065661660017926435651874192604032842415983<189>
prime factors 素因数
3926581073059779275374084305654901<34>
composite cofactor 合成数の残り
34451094758750962989323587847541932477919357467983206844538437346201266812415925935283022260881198343955315368441061021906090979585396289767121627594979283<155>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=390492782
Step 1 took 13721ms
Step 2 took 9900ms
********** Factor found in step 2: 3926581073059779275374084305654901
Found probable prime factor of 34 digits: 3926581073059779275374084305654901
Composite cofactor

c155

name 名前Erik Branger
date 日付April 5, 2021 07:09:20 UTC 2021 年 4 月 5 日 (月) 16 時 9 分 20 秒 (日本時間)
composite number 合成数
34451094758750962989323587847541932477919357467983206844538437346201266812415925935283022260881198343955315368441061021906090979585396289767121627594979283<155>
prime factors 素因数
10486635769944188506661914373676282888469231558589<50>
3285238041497680149750319886777016033282970801582059189112384128198909356054499619925740925139813841610447<106>
factorization results 素因数分解の結果
Number: 72229_219
N = 34451094758750962989323587847541932477919357467983206844538437346201266812415925935283022260881198343955315368441061021906090979585396289767121627594979283 (155 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=10486635769944188506661914373676282888469231558589 (pp50)
r2=3285238041497680149750319886777016033282970801582059189112384128198909356054499619925740925139813841610447 (pp106)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 73.46 hours.
Factorization parameters were as follows:
n: 34451094758750962989323587847541932477919357467983206844538437346201266812415925935283022260881198343955315368441061021906090979585396289767121627594979283
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 13
c0: 122
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 8172900 relations
Pruned matrix : 6975483 x 6975708
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 42.68 hours.
Total relation processing time: 0.35 hours.
Matrix solve time: 30.28 hours.
time per square root: 0.15 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 73.46 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 8, speed: 3.50GHz
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
351e6118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 3, 2014 07:52:21 UTC 2014 年 1 月 3 日 (金) 16 時 52 分 21 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:00:58 UTC 2014 年 1 月 9 日 (木) 14 時 0 分 58 秒 (日本時間)
1500Dmitry DomanovMarch 5, 2014 09:48:36 UTC 2014 年 3 月 5 日 (水) 18 時 48 分 36 秒 (日本時間)
4511e61000 / 4013Dmitry DomanovApril 22, 2014 10:14:41 UTC 2014 年 4 月 22 日 (火) 19 時 14 分 41 秒 (日本時間)

65×10220+619

c127

name 名前Cyp
date 日付December 26, 2013 08:23:12 UTC 2013 年 12 月 26 日 (木) 17 時 23 分 12 秒 (日本時間)
composite number 合成数
2987938622935677719157244515080804044819177013180782016137064578709681532707359186372179067724834312003625634022984484384606977<127>
prime factors 素因数
227079193385939797654193039434747738364108757544409803757<57>
13158134738735969792630345214804828466026646672048438895364422186975461<71>
factorization results 素因数分解の結果
12/25/13 13:28:47 v1.34.3, 
12/25/13 13:28:47 v1.34.3, ****************************
12/25/13 13:28:47 v1.34.3, Starting factorization of 2987938622935677719157244515080804044819177013180782016137064578709681532707359186372179067724834312003625634022984484384606977
12/25/13 13:28:47 v1.34.3, using pretesting plan: normal
12/25/13 13:28:47 v1.34.3, using tune info for qs/gnfs crossover
12/25/13 13:28:47 v1.34.3, input indicated to have been pretested to t40.00
12/25/13 13:28:47 v1.34.3, ****************************
12/25/13 13:28:47 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C127
12/25/13 13:28:47 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C127
12/25/13 13:28:48 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C127
12/25/13 13:28:48 v1.34.3, final ECM pretested depth: 40.58
12/25/13 13:28:48 v1.34.3, scheduler: switching to sieve method
12/25/13 13:28:48 v1.34.3, nfs: commencing nfs on c127: 2987938622935677719157244515080804044819177013180782016137064578709681532707359186372179067724834312003625634022984484384606977
12/25/13 13:28:48 v1.34.3, nfs: commencing poly selection with 8 threads
12/25/13 13:28:48 v1.34.3, nfs: setting deadline of 4658 seconds
12/25/13 14:47:17 v1.34.3, nfs: completed 322 ranges of size 250 in 4709.2749 seconds
12/25/13 14:47:17 v1.34.3, nfs: best poly = # norm 3.871917e-12 alpha -7.187371 e 1.163e-10 rroots 5
12/25/13 14:47:17 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/25/13 14:58:34 v1.34.3, nfs: commencing lattice sieving with 8 threads
[52 lines omitted]
12/26/13 01:15:19 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/26/13 01:27:08 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/26/13 01:38:50 v1.34.3, nfs: commencing msieve filtering
12/26/13 01:40:59 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/26/13 01:52:29 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/26/13 02:04:27 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/26/13 02:16:18 v1.34.3, nfs: commencing msieve filtering
12/26/13 02:18:27 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/26/13 02:30:03 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/26/13 02:41:29 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/26/13 02:53:20 v1.34.3, nfs: commencing msieve filtering
12/26/13 02:55:13 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/26/13 03:06:53 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/26/13 03:17:57 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/26/13 03:29:49 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/26/13 03:41:16 v1.34.3, nfs: commencing msieve filtering
12/26/13 03:44:27 v1.34.3, nfs: commencing msieve linear algebra
12/26/13 04:21:32 v1.34.3, nfs: commencing msieve sqrt
12/26/13 04:25:30 v1.34.3, prp71 = 13158134738735969792630345214804828466026646672048438895364422186975461
12/26/13 04:25:30 v1.34.3, prp57 = 227079193385939797654193039434747738364108757544409803757
12/26/13 04:25:30 v1.34.3, NFS elapsed time = 53802.8696 seconds.
12/26/13 04:25:30 v1.34.3, 
12/26/13 04:25:30 v1.34.3, 
12/26/13 04:25:30 v1.34.3, Total factoring time = 53802.9482 seconds
software ソフトウェア
yafu 1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 23, 2013 19:47:16 UTC 2013 年 11 月 24 日 (日) 4 時 47 分 16 秒 (日本時間)
403e6400Serge BatalovNovember 23, 2013 19:47:16 UTC 2013 年 11 月 24 日 (日) 4 時 47 分 16 秒 (日本時間)
4511e6690 / 4359230Ignacio SantosDecember 21, 2013 23:35:15 UTC 2013 年 12 月 22 日 (日) 8 時 35 分 15 秒 (日本時間)
230Ignacio SantosDecember 22, 2013 12:43:22 UTC 2013 年 12 月 22 日 (日) 21 時 43 分 22 秒 (日本時間)
230Ignacio SantosDecember 22, 2013 23:04:08 UTC 2013 年 12 月 23 日 (月) 8 時 4 分 8 秒 (日本時間)

65×10222+619

c165

name 名前Serge Batalov
date 日付November 23, 2013 18:51:39 UTC 2013 年 11 月 24 日 (日) 3 時 51 分 39 秒 (日本時間)
composite number 合成数
125005778884030745917603255184813579061206475494875227474909476502970782340921184587333408296230118964688112277396357770920716750627845761066473240347620700629847739<165>
prime factors 素因数
114490280984913821030592408405260347<36>
1091846205709832550625064900161794264743412338236203565472686736929651382910724494938424778714434667185672808353727192879187876737<130>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1672298644
Step 1 took 3646ms
Step 2 took 1997ms
********** Factor found in step 2: 114490280984913821030592408405260347
Found probable prime factor of 36 digits: 114490280984913821030592408405260347
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)

65×10223+619

c197

composite cofactor 合成数の残り
49898163265472754131431477920752804083911512429754639622236827094390210039219087825817489503114254039438783797602298403688855006001054466590999805630634984722564220961394813762935690777438345101473<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 23, 2013 19:47:17 UTC 2013 年 11 月 24 日 (日) 4 時 47 分 17 秒 (日本時間)
403e62200400Serge BatalovNovember 23, 2013 19:47:17 UTC 2013 年 11 月 24 日 (日) 4 時 47 分 17 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:00:59 UTC 2014 年 1 月 9 日 (木) 14 時 0 分 59 秒 (日本時間)
1500Dmitry DomanovMarch 5, 2014 09:48:56 UTC 2014 年 3 月 5 日 (水) 18 時 48 分 56 秒 (日本時間)
4511e61000 / 3961Dmitry DomanovApril 17, 2014 11:05:38 UTC 2014 年 4 月 17 日 (木) 20 時 5 分 38 秒 (日本時間)

65×10226+619

c208

composite cofactor 合成数の残り
4489658798499365374986022471622474318592976707308154079927287806738104847308064838881282425867382123375501544701612072135297947347911304470367044053743906841764523749314241270922902005147725846918822766437147<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 23, 2013 19:47:18 UTC 2013 年 11 月 24 日 (日) 4 時 47 分 18 秒 (日本時間)
403e62200400Serge BatalovNovember 23, 2013 19:47:18 UTC 2013 年 11 月 24 日 (日) 4 時 47 分 18 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:01:00 UTC 2014 年 1 月 9 日 (木) 14 時 1 分 0 秒 (日本時間)
1500Dmitry DomanovMarch 5, 2014 09:49:10 UTC 2014 年 3 月 5 日 (水) 18 時 49 分 10 秒 (日本時間)
4511e61000 / 3961Dmitry DomanovApril 22, 2014 10:15:11 UTC 2014 年 4 月 22 日 (火) 19 時 15 分 11 秒 (日本時間)

65×10227+619

c181

composite cofactor 合成数の残り
1341049652900197783923644950299334669153731763941874330084354104090357901582523616439617693126441653257216822730670973573062762717253378351970980337311059609344186055113630845873219<181>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 23, 2013 19:47:19 UTC 2013 年 11 月 24 日 (日) 4 時 47 分 19 秒 (日本時間)
403e62200400Serge BatalovNovember 23, 2013 19:47:19 UTC 2013 年 11 月 24 日 (日) 4 時 47 分 19 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:01:01 UTC 2014 年 1 月 9 日 (木) 14 時 1 分 1 秒 (日本時間)
1500Dmitry DomanovMarch 5, 2014 09:49:22 UTC 2014 年 3 月 5 日 (水) 18 時 49 分 22 秒 (日本時間)
4511e61000 / 3961Dmitry DomanovApril 17, 2014 11:06:05 UTC 2014 年 4 月 17 日 (木) 20 時 6 分 5 秒 (日本時間)

65×10228+619

c177

composite cofactor 合成数の残り
469341036559810602878226082651110602649236930581213896996285615261489075606882277332625768547771717684659090192993667430264369503670796143288177741237344747322898826520840609169<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 23, 2013 19:47:20 UTC 2013 年 11 月 24 日 (日) 4 時 47 分 20 秒 (日本時間)
403e62200400Serge BatalovNovember 23, 2013 19:47:20 UTC 2013 年 11 月 24 日 (日) 4 時 47 分 20 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:01:02 UTC 2014 年 1 月 9 日 (木) 14 時 1 分 2 秒 (日本時間)
1500Dmitry DomanovMarch 5, 2014 09:49:38 UTC 2014 年 3 月 5 日 (水) 18 時 49 分 38 秒 (日本時間)
4511e61000 / 3961Dmitry DomanovApril 22, 2014 10:15:34 UTC 2014 年 4 月 22 日 (火) 19 時 15 分 34 秒 (日本時間)

65×10231+619

c164

composite cofactor 合成数の残り
13546082465102594591421191397019471984149351842583187919990874704925280567536801975103905673058965818087825142530615768089835192542270841818438803065483288018930653<164>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 23, 2013 19:47:21 UTC 2013 年 11 月 24 日 (日) 4 時 47 分 21 秒 (日本時間)
403e6700400Serge BatalovNovember 23, 2013 19:47:21 UTC 2013 年 11 月 24 日 (日) 4 時 47 分 21 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:01:03 UTC 2014 年 1 月 9 日 (木) 14 時 1 分 3 秒 (日本時間)
4511e61922 / 4293422CypFebruary 19, 2014 11:22:11 UTC 2014 年 2 月 19 日 (水) 20 時 22 分 11 秒 (日本時間)
1500Dmitry DomanovApril 22, 2014 10:15:52 UTC 2014 年 4 月 22 日 (火) 19 時 15 分 52 秒 (日本時間)

65×10232+619

c187

composite cofactor 合成数の残り
2939878576738993073145998457131002151449699194534005864889872388290475080371223583269489804530639807773727153313281731201178027119592010726381951335322806872262781994371097747308474032451<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 23, 2013 19:47:22 UTC 2013 年 11 月 24 日 (日) 4 時 47 分 22 秒 (日本時間)
403e62200400Serge BatalovNovember 23, 2013 19:47:22 UTC 2013 年 11 月 24 日 (日) 4 時 47 分 22 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:01:04 UTC 2014 年 1 月 9 日 (木) 14 時 1 分 4 秒 (日本時間)
1500Dmitry DomanovMarch 5, 2014 09:49:58 UTC 2014 年 3 月 5 日 (水) 18 時 49 分 58 秒 (日本時間)
4511e61000 / 3961Dmitry DomanovApril 22, 2014 10:16:10 UTC 2014 年 4 月 22 日 (火) 19 時 16 分 10 秒 (日本時間)

65×10233+619

c156

name 名前Dmitry Domanov
date 日付April 23, 2014 13:55:29 UTC 2014 年 4 月 23 日 (水) 22 時 55 分 29 秒 (日本時間)
composite number 合成数
154626923449830149821256800873874826365976287871104967523900364925740844691478453041110998374218911176168383951001080724194381992470219817447563258120343087<156>
prime factors 素因数
3732691292043928059408365677643687922727<40>
8465383605736755634185599771481316908564768763<46>
4893464010688420096095858498145171315892665087942335161411575990900187<70>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1102871581
Step 1 took 76574ms
Step 2 took 26243ms
********** Factor found in step 2: 3732691292043928059408365677643687922727
Found probable prime factor of 40 digits: 3732691292043928059408365677643687922727
Composite cofactor 41425050011344583425401560565091320612033970751565629004659808975082377511019952589244510306846112249722993868458681 has 116 digits

N=41425050011344583425401560565091320612033970751565629004659808975082377511019952589244510306846112249722993868458681
  ( 116 digits)
Divisors found:
 r1=8465383605736755634185599771481316908564768763 (pp46)
 r2=4893464010688420096095858498145171315892665087942335161411575990900187 (pp70)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 21.54 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 41425050011344583425401560565091320612033970751565629004659808975082377511019952589244510306846112249722993868458681
skew: 112238.54
c0: 24565638086299094934398032387
c1: -139858787420847890458112
c2: -6184361587080633330
c3: 4963885790846
c4: 425655389
c5: 2220
Y0: -28456514344192789093572
Y1: 532052571203
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 240000
type: gnfs
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2300000, 3260001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 664089 x 664313
Total sieving time: 20.89 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.44 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
gnfs,115,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4600000,4600000,27,27,54,54,2.5,2.5,100000
total time: 21.54 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 23, 2013 19:47:23 UTC 2013 年 11 月 24 日 (日) 4 時 47 分 23 秒 (日本時間)
403e61600400Serge BatalovNovember 23, 2013 19:47:23 UTC 2013 年 11 月 24 日 (日) 4 時 47 分 23 秒 (日本時間)
600Lionel DebrouxDecember 30, 2013 14:50:18 UTC 2013 年 12 月 30 日 (月) 23 時 50 分 18 秒 (日本時間)
600Lionel DebrouxDecember 30, 2013 14:52:13 UTC 2013 年 12 月 30 日 (月) 23 時 52 分 13 秒 (日本時間)
4511e62130 / 4094230Ignacio SantosDecember 27, 2013 14:56:45 UTC 2013 年 12 月 27 日 (金) 23 時 56 分 45 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:25:58 UTC 2014 年 1 月 6 日 (月) 11 時 25 分 58 秒 (日本時間)
1500Dmitry DomanovApril 22, 2014 10:16:24 UTC 2014 年 4 月 22 日 (火) 19 時 16 分 24 秒 (日本時間)

65×10234+619

c197

composite cofactor 合成数の残り
13140870211712567895696491321220230709421795071234903326486582908784310281232908382336555195589883079901326448804948036557143454693324438675134827507312483694645631672143763898430202389428527848503<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 23, 2013 19:47:24 UTC 2013 年 11 月 24 日 (日) 4 時 47 分 24 秒 (日本時間)
403e62200400Serge BatalovNovember 23, 2013 19:47:24 UTC 2013 年 11 月 24 日 (日) 4 時 47 分 24 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:01:05 UTC 2014 年 1 月 9 日 (木) 14 時 1 分 5 秒 (日本時間)
1500Dmitry DomanovMarch 5, 2014 09:50:26 UTC 2014 年 3 月 5 日 (水) 18 時 50 分 26 秒 (日本時間)
4511e61000 / 3961Dmitry DomanovApril 22, 2014 10:16:40 UTC 2014 年 4 月 22 日 (火) 19 時 16 分 40 秒 (日本時間)

65×10235+619

c185

name 名前Serge Batalov
date 日付November 23, 2013 18:49:41 UTC 2013 年 11 月 24 日 (日) 3 時 49 分 41 秒 (日本時間)
composite number 合成数
26740487822151592762558477036602750529127101682927577242028416849741939965741677191243876010736735175565828586904747871794702107976982867266857422114666523738228019510193436892146644259<185>
prime factors 素因数
4243430021111127726812665568938213<34>
composite cofactor 合成数の残り
6301621020994164273331488236972567386263102501425841087221154958018846804017757879088066894904800679960520367604483895739001155258410276313290837904743<151>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3283611963
Step 1 took 13813ms
Step 2 took 9896ms
********** Factor found in step 2: 4243430021111127726812665568938213
Found probable prime factor of 34 digits: 4243430021111127726812665568938213
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
403e6210Serge BatalovDecember 4, 2013 17:31:41 UTC 2013 年 12 月 5 日 (木) 2 時 31 分 41 秒 (日本時間)
4511e6445060Serge BatalovDecember 4, 2013 17:31:41 UTC 2013 年 12 月 5 日 (木) 2 時 31 分 41 秒 (日本時間)
230Ignacio SantosDecember 26, 2013 19:04:02 UTC 2013 年 12 月 27 日 (金) 4 時 4 分 2 秒 (日本時間)
230Ignacio SantosDecember 26, 2013 23:14:42 UTC 2013 年 12 月 27 日 (金) 8 時 14 分 42 秒 (日本時間)
230Ignacio SantosDecember 27, 2013 14:53:41 UTC 2013 年 12 月 27 日 (金) 23 時 53 分 41 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:25:13 UTC 2014 年 1 月 6 日 (月) 11 時 25 分 13 秒 (日本時間)
1500Dmitry DomanovApril 22, 2014 10:16:59 UTC 2014 年 4 月 22 日 (火) 19 時 16 分 59 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:16 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 16 秒 (日本時間)
900Ignacio SantosDecember 27, 2015 16:20:29 UTC 2015 年 12 月 28 日 (月) 1 時 20 分 29 秒 (日本時間)

65×10236+619

c208

composite cofactor 合成数の残り
1422479565906606809051815589356578405774369817017331289586066038879014591553508774148445267182856418262737941715184956095567795797987059773273962094332389985607876401582075095240787834890726103358502631313663<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 23, 2013 19:47:25 UTC 2013 年 11 月 24 日 (日) 4 時 47 分 25 秒 (日本時間)
403e62200400Serge BatalovNovember 23, 2013 19:47:25 UTC 2013 年 11 月 24 日 (日) 4 時 47 分 25 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:01:06 UTC 2014 年 1 月 9 日 (木) 14 時 1 分 6 秒 (日本時間)
1500Dmitry DomanovMarch 5, 2014 09:51:08 UTC 2014 年 3 月 5 日 (水) 18 時 51 分 8 秒 (日本時間)
4511e61000 / 3877Dmitry DomanovApril 22, 2014 10:17:22 UTC 2014 年 4 月 22 日 (火) 19 時 17 分 22 秒 (日本時間)
5043e624 / 7242CypJanuary 21, 2014 22:25:48 UTC 2014 年 1 月 22 日 (水) 7 時 25 分 48 秒 (日本時間)

65×10237+619

c224

composite cofactor 合成数の残り
10603422909569759207257299781092982620359367188705829018192182041969557084204278232661750053781077992792336943204709023009538741696904859622185622651278485960811834974017621015177588243489228672332725863470354097999471897979<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 23, 2013 19:47:26 UTC 2013 年 11 月 24 日 (日) 4 時 47 分 26 秒 (日本時間)
403e62200400Serge BatalovNovember 23, 2013 19:47:26 UTC 2013 年 11 月 24 日 (日) 4 時 47 分 26 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:01:07 UTC 2014 年 1 月 9 日 (木) 14 時 1 分 7 秒 (日本時間)
1500Dmitry DomanovMarch 5, 2014 09:51:21 UTC 2014 年 3 月 5 日 (水) 18 時 51 分 21 秒 (日本時間)
4511e61000 / 3961Dmitry DomanovApril 22, 2014 10:19:13 UTC 2014 年 4 月 22 日 (火) 19 時 19 分 13 秒 (日本時間)

65×10238+619

c221

name 名前Serge Batalov
date 日付November 23, 2013 18:39:39 UTC 2013 年 11 月 24 日 (日) 3 時 39 分 39 秒 (日本時間)
composite number 合成数
23862137015709868716115056253404225219360154927170987939424997850602345615709485999192988578649311497078922835957073830212615427685091320232315617564698175201463393860292480969380443431203465094607947556404132663024437093<221>
prime factors 素因数
1864266201563561383337097017941<31>
12799747694667573495820932941204788338010984304153341094259023125002065603338057588616395364840121606837478733892093098570627978284011180013437924854392221287413435883765646898604905353611473<191>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=410828139
Step 1 took 6635ms
Step 2 took 3376ms
********** Factor found in step 2: 1864266201563561383337097017941
Found probable prime factor of 31 digits: 1864266201563561383337097017941
Probable prime cofacto

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)

65×10241+619

c198

composite cofactor 合成数の残り
878078410212079736251092556828959408368535171789164293078907756701899532491713283862156347020073417980895405540702068406801281214967873920393060168437458069010689280648979095549260154336358045892133<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 23, 2013 19:47:28 UTC 2013 年 11 月 24 日 (日) 4 時 47 分 28 秒 (日本時間)
403e6700400Serge BatalovNovember 23, 2013 19:47:28 UTC 2013 年 11 月 24 日 (日) 4 時 47 分 28 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:01:07 UTC 2014 年 1 月 9 日 (木) 14 時 1 分 7 秒 (日本時間)
4511e61422 / 4293422CypFebruary 18, 2014 07:03:41 UTC 2014 年 2 月 18 日 (火) 16 時 3 分 41 秒 (日本時間)
1000Dmitry DomanovApril 22, 2014 10:19:28 UTC 2014 年 4 月 22 日 (火) 19 時 19 分 28 秒 (日本時間)

65×10242+619

c197

composite cofactor 合成数の残り
10409561605040984068654866799703590453924623426763616158640818678880175084933454392821594299491306824840549430305294716123024354941760801439338477355750591676813310750114237598930431301283506689619<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 23, 2013 19:47:29 UTC 2013 年 11 月 24 日 (日) 4 時 47 分 29 秒 (日本時間)
403e62200400Serge BatalovNovember 23, 2013 19:47:29 UTC 2013 年 11 月 24 日 (日) 4 時 47 分 29 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:01:08 UTC 2014 年 1 月 9 日 (木) 14 時 1 分 8 秒 (日本時間)
1500Dmitry DomanovMarch 5, 2014 09:58:03 UTC 2014 年 3 月 5 日 (水) 18 時 58 分 3 秒 (日本時間)
4511e61500 / 3961Dmitry DomanovApril 23, 2014 06:57:05 UTC 2014 年 4 月 23 日 (水) 15 時 57 分 5 秒 (日本時間)

65×10243+619

c215

composite cofactor 合成数の残り
43140522166456995794253175179529954456820942279645347256440306333859907361263520404368691376608765642034540311933169517597236721208234143032155225412639821337258228352490321698562613597367254945048385042347355780659<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 23, 2013 19:47:30 UTC 2013 年 11 月 24 日 (日) 4 時 47 分 30 秒 (日本時間)
403e62200400Serge BatalovNovember 23, 2013 19:47:30 UTC 2013 年 11 月 24 日 (日) 4 時 47 分 30 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:01:09 UTC 2014 年 1 月 9 日 (木) 14 時 1 分 9 秒 (日本時間)
1500Dmitry DomanovMarch 5, 2014 09:58:18 UTC 2014 年 3 月 5 日 (水) 18 時 58 分 18 秒 (日本時間)
4511e61500 / 3961Dmitry DomanovApril 23, 2014 06:57:19 UTC 2014 年 4 月 23 日 (水) 15 時 57 分 19 秒 (日本時間)

65×10244+619

c200

composite cofactor 合成数の残り
33202372330327170096354268421094532903001846112590015454996535571249706382535576594588023254897648673074089024529545248809178747971508929853488685437334892008982904360406652788468364732620786512185227<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 23, 2013 19:47:31 UTC 2013 年 11 月 24 日 (日) 4 時 47 分 31 秒 (日本時間)
403e62200400Serge BatalovNovember 23, 2013 19:47:31 UTC 2013 年 11 月 24 日 (日) 4 時 47 分 31 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:01:10 UTC 2014 年 1 月 9 日 (木) 14 時 1 分 10 秒 (日本時間)
1500Dmitry DomanovMarch 5, 2014 09:58:30 UTC 2014 年 3 月 5 日 (水) 18 時 58 分 30 秒 (日本時間)
4511e61500 / 3961Dmitry DomanovApril 23, 2014 06:57:34 UTC 2014 年 4 月 23 日 (水) 15 時 57 分 34 秒 (日本時間)

65×10245+619

c203

composite cofactor 合成数の残り
82633829424590944697047714702828786034782276872729452956261650462638548335096033681334208384522252600815161010587488469524208913438625569965433702795932333018705504990586460429606987855357771969218231747<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 23, 2013 19:47:31 UTC 2013 年 11 月 24 日 (日) 4 時 47 分 31 秒 (日本時間)
403e62200400Serge BatalovNovember 23, 2013 19:47:31 UTC 2013 年 11 月 24 日 (日) 4 時 47 分 31 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:01:12 UTC 2014 年 1 月 9 日 (木) 14 時 1 分 12 秒 (日本時間)
1500Dmitry DomanovMarch 5, 2014 09:58:44 UTC 2014 年 3 月 5 日 (水) 18 時 58 分 44 秒 (日本時間)
4511e61500 / 3961Dmitry DomanovApril 23, 2014 06:57:47 UTC 2014 年 4 月 23 日 (水) 15 時 57 分 47 秒 (日本時間)

65×10246+619

c178

composite cofactor 合成数の残り
1209939468470910637334337930127128807848015350185104424315982656941099470708307079484945657863527418449835456988952815979620454313698580001562249190783662070735572270539490015989<178>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 23, 2013 19:47:32 UTC 2013 年 11 月 24 日 (日) 4 時 47 分 32 秒 (日本時間)
403e62200400Serge BatalovNovember 23, 2013 19:47:32 UTC 2013 年 11 月 24 日 (日) 4 時 47 分 32 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:01:13 UTC 2014 年 1 月 9 日 (木) 14 時 1 分 13 秒 (日本時間)
1500Dmitry DomanovMarch 5, 2014 09:59:00 UTC 2014 年 3 月 5 日 (水) 18 時 59 分 0 秒 (日本時間)
4511e61500 / 3961Dmitry DomanovApril 23, 2014 06:58:01 UTC 2014 年 4 月 23 日 (水) 15 時 58 分 1 秒 (日本時間)

65×10247+619

c216

name 名前Serge Batalov
date 日付November 23, 2013 18:43:33 UTC 2013 年 11 月 24 日 (日) 3 時 43 分 33 秒 (日本時間)
composite number 合成数
132563909662703608291612127676780883353780030723162093610244432281687090829331041213910379543949404701510652793335661098323514230637621621730144977714720885000638298255658059477438271013702226146838385793850353491677<216>
prime factors 素因数
3809578933226975271076330673195119829<37>
composite cofactor 合成数の残り
34797522767276766418616872204485932012587332796739990006378482212853060533877615200609421638054116522663387910512265743662840048661123797858628738962396476196148907665498385819113<179>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2085755892
Step 1 took 6047ms
Step 2 took 2766ms
********** Factor found in step 2: 3809578933226975271076330673195119829
Found probable prime factor of 37 digits: 3809578933226975271076330673195119829
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:26:18 UTC 2014 年 1 月 7 日 (火) 5 時 26 分 18 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2014 05:01:13 UTC 2014 年 1 月 9 日 (木) 14 時 1 分 13 秒 (日本時間)
4511e61510 / 369110CypJanuary 10, 2014 18:05:12 UTC 2014 年 1 月 11 日 (土) 3 時 5 分 12 秒 (日本時間)
1500Dmitry DomanovApril 23, 2014 06:58:15 UTC 2014 年 4 月 23 日 (水) 15 時 58 分 15 秒 (日本時間)
5043e6194 / 719844CypFebruary 3, 2014 09:28:01 UTC 2014 年 2 月 3 日 (月) 18 時 28 分 1 秒 (日本時間)
150CypFebruary 9, 2014 04:42:55 UTC 2014 年 2 月 9 日 (日) 13 時 42 分 55 秒 (日本時間)

65×10248+619

c190

name 名前Serge Batalov
date 日付January 9, 2014 07:56:46 UTC 2014 年 1 月 9 日 (木) 16 時 56 分 46 秒 (日本時間)
composite number 合成数
1491886294666014401741568306075312679347735744832775080198632782427236140539799456790570115495755339650245031354209139359679908471440502819337015562260558161715191706715400367587982033662713<190>
prime factors 素因数
8977779830993699648792213789235670046767<40>
composite cofactor 合成数の残り
166175415609505535135461491338369596741702276749279955355185800237898094348168709407894826838834828018654196001983609480968839312915917363516030596439<150>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4156660949
Step 1 took 15710ms
Step 2 took 6615ms
********** Factor found in step 2: 8977779830993699648792213789235670046767
Found probable prime factor of 40 digits: 8977779830993699648792213789235670046767
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 23, 2013 19:47:34 UTC 2013 年 11 月 24 日 (日) 4 時 47 分 34 秒 (日本時間)
403e6700400Serge BatalovNovember 23, 2013 19:47:34 UTC 2013 年 11 月 24 日 (日) 4 時 47 分 34 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:01:14 UTC 2014 年 1 月 9 日 (木) 14 時 1 分 14 秒 (日本時間)
4511e64300230Ignacio SantosFebruary 6, 2014 23:47:14 UTC 2014 年 2 月 7 日 (金) 8 時 47 分 14 秒 (日本時間)
230Ignacio SantosFebruary 7, 2014 14:58:36 UTC 2014 年 2 月 7 日 (金) 23 時 58 分 36 秒 (日本時間)
1500Dmitry DomanovApril 23, 2014 06:58:37 UTC 2014 年 4 月 23 日 (水) 15 時 58 分 37 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:03 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 3 秒 (日本時間)
1440Ignacio SantosJanuary 16, 2016 20:54:46 UTC 2016 年 1 月 17 日 (日) 5 時 54 分 46 秒 (日本時間)

65×10250+619

c251

name 名前Serge Batalov
date 日付November 23, 2013 20:17:15 UTC 2013 年 11 月 24 日 (日) 5 時 17 分 15 秒 (日本時間)
composite number 合成数
72222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229<251>
prime factors 素因数
960734782841371119900448527140119<33>
75173943435903455451478762519572235535659978896564026439964714424173122707425102325677948562587968293075144260994702190556477747778041854925828019600985178671054305355581474361335067390643215214149686439008253663600691<218>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=4273897133
Step 1 took 96388ms
Step 2 took 43471ms
********** Factor found in step 2: 960734782841371119900448527140119
Found probable prime factor of 33 digits: 960734782841371119900448527140119
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6718118Makoto KamadaNovember 22, 2013 13:00:00 UTC 2013 年 11 月 22 日 (金) 22 時 0 分 0 秒 (日本時間)
600Serge BatalovNovember 23, 2013 19:47:35 UTC 2013 年 11 月 24 日 (日) 4 時 47 分 35 秒 (日本時間)
403e6400Serge BatalovNovember 23, 2013 19:47:35 UTC 2013 年 11 月 24 日 (日) 4 時 47 分 35 秒 (日本時間)
4511e61200 / 4359Serge BatalovNovember 23, 2013 20:00:41 UTC 2013 年 11 月 24 日 (日) 5 時 0 分 41 秒 (日本時間)

65×10251+619

c238

composite cofactor 合成数の残り
6464228542888007406521600778084016946570931267989570282912791785989467206747353124321463255857079223980615337812927837868382769549630820176787485232013602389574423743659409419414408969951448247535954989591257198633341500002628074434420893<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 03:13:12 UTC 2021 年 5 月 13 日 (木) 12 時 13 分 12 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 19, 2022 06:10:45 UTC 2022 年 2 月 19 日 (土) 15 時 10 分 45 秒 (日本時間)

65×10253+619

c189

composite cofactor 合成数の残り
295750807330050504745010752665908189957117794596678180992656064754743498829643875737780400584588203352547356818698181865509661568153678605555060614844951697743297975732357833086834856024643<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 03:13:01 UTC 2021 年 5 月 13 日 (木) 12 時 13 分 1 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 17, 2022 15:44:09 UTC 2022 年 2 月 18 日 (金) 0 時 44 分 9 秒 (日本時間)

65×10255+619

c239

composite cofactor 合成数の残り
23687534874582629950644556659961890872186510676599078678080157616413015681757762278646700383966157086410711532547670782573950680604842072154405786143212718927278580933460129143597366303358042515106845283914950944744829080334515698441640833<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 03:12:52 UTC 2021 年 5 月 13 日 (木) 12 時 12 分 52 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 19, 2022 08:06:31 UTC 2022 年 2 月 19 日 (土) 17 時 6 分 31 秒 (日本時間)

65×10256+619

c232

composite cofactor 合成数の残り
6469150072427785769569019449322027837810728994889756447812006868113443769239631619446769390254072578716017748562666311101860114647335808799578271421358867909121968699809123330340531141968776948286098154233244055963314570385020755891<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 03:12:40 UTC 2021 年 5 月 13 日 (木) 12 時 12 分 40 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 1, 2022 18:24:23 UTC 2022 年 3 月 2 日 (水) 3 時 24 分 23 秒 (日本時間)

65×10257+619

c243

composite cofactor 合成数の残り
414894805804818807015497775776015140085977919462744488077793990953384521462622746548173658249285329614135258037300952188959891112088195446966392475197619290325117764661375428665689916047628976656318543283981935311373531435841646682595794993549<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 03:12:32 UTC 2021 年 5 月 13 日 (木) 12 時 12 分 32 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 23, 2022 21:38:57 UTC 2022 年 2 月 24 日 (木) 6 時 38 分 57 秒 (日本時間)

65×10258+619

c225

composite cofactor 合成数の残り
740796099604341616521589149967193301323522655264974669583344203292499990642351057457826443269367703865205685285952514046919830544855931621153603611876787194865661863448179777463681994830589431770086501166551526293334254220313<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 03:12:23 UTC 2021 年 5 月 13 日 (木) 12 時 12 分 23 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 19, 2022 09:12:49 UTC 2022 年 2 月 19 日 (土) 18 時 12 分 49 秒 (日本時間)

65×10261+619

c236

composite cofactor 合成数の残り
26104359561950650678830263309982953182109290407158952331991134153359910560622346360025557422280213292183303113806141471224626279683240537735847475697609674389677809820015399994529319120482935931525462886082434836649962911705418050462413<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 03:12:13 UTC 2021 年 5 月 13 日 (木) 12 時 12 分 13 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 19, 2022 16:10:23 UTC 2022 年 2 月 20 日 (日) 1 時 10 分 23 秒 (日本時間)

65×10262+619

c229

name 名前Marlon Trifunovic
date 日付February 20, 2022 00:47:40 UTC 2022 年 2 月 20 日 (日) 9 時 47 分 40 秒 (日本時間)
composite number 合成数
3603791344524374103669761137201340773887788982453485080505577680224244473389856360059683082283863864150108133771908481881275359142178633022492924661166941392618756578321997016796487640579627323984900646196832986565013525213265023<229>
prime factors 素因数
217329491730553884888869458149222398161<39>
16582155122289483755572374522872415065654993444876470811282872181195074458050492281407909837557883921059304441750298507110537130299827967211354477501405250834562728661498976786374831282648143<191>
factorization results 素因数分解の結果
Run 512 out of 587:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3926671815
Step 1 took 20577ms
Step 2 took 8433ms
********** Factor found in step 2: 217329491730553884888869458149222398161
Found prime factor of 39 digits: 217329491730553884888869458149222398161
Prime cofactor 16582155122289483755572374522872415065654993444876470811282872181195074458050492281407909837557883921059304441750298507110537130299827967211354477501405250834562728661498976786374831282648143 has 191 digits
software ソフトウェア
GMP-ECM 7.0.5-dev
execution environment 実行環境
Intel Xeon CPU E5-2695 v4 @ 2.10GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 03:12:03 UTC 2021 年 5 月 13 日 (木) 12 時 12 分 3 秒 (日本時間)

65×10265+619

c248

composite cofactor 合成数の残り
23601472247199693016546431479926524581341029769363955628935563971270760520625028997171752718336509152832080666929028422127383521911367422313186656853760781122817249004553464663859792930925815314554658391949814148789094446083175465376743436844594633<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 03:11:51 UTC 2021 年 5 月 13 日 (木) 12 時 11 分 51 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 21, 2022 19:20:13 UTC 2022 年 2 月 22 日 (火) 4 時 20 分 13 秒 (日本時間)

65×10267+619

c256

composite cofactor 合成数の残り
5204679658796124135381741038911072435519358775217903413110465596941354657298265490883259195806120114254465651926095865392281059085938052610773163609626056364320102444922705906671746225304395926203207225071172292710063951140217266844483952770961617434039907<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 03:11:42 UTC 2021 年 5 月 13 日 (木) 12 時 11 分 42 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 4, 2022 22:58:32 UTC 2022 年 3 月 5 日 (土) 7 時 58 分 32 秒 (日本時間)

65×10268+619

c269

name 名前Dmitry Domanov
date 日付January 30, 2022 06:00:49 UTC 2022 年 1 月 30 日 (日) 15 時 0 分 49 秒 (日本時間)
composite number 合成数
72222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229<269>
prime factors 素因数
658732033681331597914477231718462478957628023260979991<54>
composite cofactor 合成数の残り
109638242152286867009047088115297132548949148705747764005039003136864116042581215788163908912757552944101827721661984648843673317486631547861868261083168526242766449776145832630289508655983296287599690741140534266419<216>
factorization results 素因数分解の結果
Resuming ECM residue saved by @45f0bc557461 with GMP-ECM 7.0.5-dev on Fri Jan 28 05:34:01 2022 
Input number is 72222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222222222229 (269 digits)
Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3:3772706610
Step 1 took 0ms
Step 2 took 59951ms
********** Factor found in step 2: 658732033681331597914477231718462478957628023260979991
Found prime factor of 54 digits: 658732033681331597914477231718462478957628023260979991
Composite cofactor 109638242152286867009047088115297132548949148705747764005039003136864116042581215788163908912757552944101827721661984648843673317486631547861868261083168526242766449776145832630289508655983296287599690741140534266419 has 216 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e635501200Dmitry DomanovFebruary 27, 2021 22:44:33 UTC 2021 年 2 月 28 日 (日) 7 時 44 分 33 秒 (日本時間)
2350Ignacio SantosApril 3, 2021 15:08:09 UTC 2021 年 4 月 4 日 (日) 0 時 8 分 9 秒 (日本時間)
4511e640001000Dmitry DomanovApril 14, 2021 08:48:25 UTC 2021 年 4 月 14 日 (水) 17 時 48 分 25 秒 (日本時間)
1000Dmitry DomanovMay 31, 2021 22:00:16 UTC 2021 年 6 月 1 日 (火) 7 時 0 分 16 秒 (日本時間)
1000Ignacio SantosJune 29, 2021 13:54:24 UTC 2021 年 6 月 29 日 (火) 22 時 54 分 24 秒 (日本時間)
1000Ignacio SantosJuly 3, 2021 17:57:47 UTC 2021 年 7 月 4 日 (日) 2 時 57 分 47 秒 (日本時間)
5043e63600 / 65211800Dmitry DomanovNovember 26, 2021 09:25:21 UTC 2021 年 11 月 26 日 (金) 18 時 25 分 21 秒 (日本時間)
1800Dmitry DomanovJanuary 27, 2022 23:07:54 UTC 2022 年 1 月 28 日 (金) 8 時 7 分 54 秒 (日本時間)

65×10270+619

c225

composite cofactor 合成数の残り
270222287120847668878971824740441814913348935059380841196194933962824585881374323075106963096789054078751501792892565181169872309975889324986508234657157408596948884812466440773389769108213164979652248254324117466395514637563<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 03:11:23 UTC 2021 年 5 月 13 日 (木) 12 時 11 分 23 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 20, 2022 05:48:02 UTC 2022 年 2 月 20 日 (日) 14 時 48 分 2 秒 (日本時間)

65×10271+619

c266

composite cofactor 合成数の残り
45703006814880814644143381160475280333454762706824562820857080439893549962773143141325157979474287453209788965311347515187284945380336555535938418784245175115992473488213089073964972793703166283218439489816631802303698730279064668981207556408584599675761775959782479<266>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 03:11:08 UTC 2021 年 5 月 13 日 (木) 12 時 11 分 8 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 5, 2022 09:19:43 UTC 2022 年 3 月 5 日 (土) 18 時 19 分 43 秒 (日本時間)

65×10272+619

c256

composite cofactor 合成数の残り
2817652730786280389156285633145391185293018911573741244047515619505740782133450253521728120485115325443033500094173079850879862328109379789151634416831298120181487563905909953777132469264110678474400144502303866571090562238259665979717234164944963583899083<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 03:10:59 UTC 2021 年 5 月 13 日 (木) 12 時 10 分 59 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 5, 2022 05:54:32 UTC 2022 年 3 月 5 日 (土) 14 時 54 分 32 秒 (日本時間)

65×10273+619

c233

composite cofactor 合成数の残り
16884412485611902393977779080077143692811355355523831050181301092950939868402880576873235072328243989894364113622751522018633816880049896397729525838557582908593139502907809850613909391969078603507950650811857826521409300415676864439<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 03:10:48 UTC 2021 年 5 月 13 日 (木) 12 時 10 分 48 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 22, 2022 14:16:01 UTC 2022 年 2 月 22 日 (火) 23 時 16 分 1 秒 (日本時間)

65×10274+619

c253

composite cofactor 合成数の残り
1772568289749745809010572512599187759225783018020372320535444811267787991292395807174384797572379792638778245516308510977929529190089429528326324112541416206153907622263604136797430208402183175411308474380212722620332171346613368023524938790117310603301<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 03:10:38 UTC 2021 年 5 月 13 日 (木) 12 時 10 分 38 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 5, 2022 07:03:21 UTC 2022 年 3 月 5 日 (土) 16 時 3 分 21 秒 (日本時間)

65×10277+619

c261

composite cofactor 合成数の残り
675828712788895066871949397681918697658454656000458435510240983095129109647709749391046046102351985175744831996252921543609533906223947127451964306595843569268162792690016580656483987545821721699033550351071852301800661174714858802380576105997426401672137962169<261>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 03:10:27 UTC 2021 年 5 月 13 日 (木) 12 時 10 分 27 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 5, 2022 20:09:43 UTC 2022 年 3 月 6 日 (日) 5 時 9 分 43 秒 (日本時間)

65×10278+619

c221

composite cofactor 合成数の残り
25579529179752651580017823175071677661504528139953520393366341740799439225654943406260296570499318754043556058189869420956364758607331974182462924072354071362618316149255085342175891733026584452170100700002383923078138511<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 03:10:15 UTC 2021 年 5 月 13 日 (木) 12 時 10 分 15 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 20, 2022 20:57:50 UTC 2022 年 2 月 21 日 (月) 5 時 57 分 50 秒 (日本時間)

65×10279+619

c242

composite cofactor 合成数の残り
64537547907246987429438773933023670390312333113316502516179275131518648388509807358159005087982811699269670901338060643749234961790628590166168223245242171996642605573582025345123097670160020357193024384552721698839017118342721250138184705339<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 03:10:05 UTC 2021 年 5 月 13 日 (木) 12 時 10 分 5 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 23, 2022 17:46:28 UTC 2022 年 2 月 24 日 (木) 2 時 46 分 28 秒 (日本時間)

65×10280+619

c222

composite cofactor 合成数の残り
119041926782532599292127008475482887079941641231351261782856049148412652011737561958889600142446195518189700370028699578065847921889045607099498918939866398992348404519421051948214262519518714935049164188729775937671098271<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 03:09:53 UTC 2021 年 5 月 13 日 (木) 12 時 9 分 53 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 20, 2022 13:41:14 UTC 2022 年 2 月 20 日 (日) 22 時 41 分 14 秒 (日本時間)

65×10281+619

c260

composite cofactor 合成数の残り
13177419545899687585657105285011522844224364231658916033710601039577105840012429987120369822559070447376027280538773724227339507031643183457023239801967483586082161679317197176550972428948340095355926430387993289455235474933399741085635257159594751298829200173<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 03:09:38 UTC 2021 年 5 月 13 日 (木) 12 時 9 分 38 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 6, 2022 02:19:45 UTC 2022 年 3 月 6 日 (日) 11 時 19 分 45 秒 (日本時間)

65×10282+619

c243

composite cofactor 合成数の残り
319245239641024856640595590747921595045408977150419948872539434370617698352478077742109306793117880610811048434072762092334174849847773280991585138511001617076816714704006233759342416820916847224524166393796809910640448316334800765219457658087<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 03:09:27 UTC 2021 年 5 月 13 日 (木) 12 時 9 分 27 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 2, 2022 21:20:37 UTC 2022 年 3 月 3 日 (木) 6 時 20 分 37 秒 (日本時間)

65×10283+619

c235

composite cofactor 合成数の残り
2887695649701426358154103237853722020811078779682583950178383445295302312826609893017771847955524250652082290691842615525295062837972551082216116757367172678646439035738272200403577627486957893603708353464809784710606195590521775635121<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 03:09:18 UTC 2021 年 5 月 13 日 (木) 12 時 9 分 18 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 21, 2022 20:10:41 UTC 2022 年 2 月 22 日 (火) 5 時 10 分 41 秒 (日本時間)

65×10284+619

c258

name 名前Eric Jeancolas
date 日付May 12, 2021 13:57:51 UTC 2021 年 5 月 12 日 (水) 22 時 57 分 51 秒 (日本時間)
composite number 合成数
150164349502186223423249529096580787367961204859006440715397867336391206661635677511117336049405443823677373079661162369731609409442355671431625209586819088542869796760750753390205515983529538379980932003319089280681710415129346788507831818393279502123600629<258>
prime factors 素因数
57168816938103411071788448182931969<35>
2626682823693359448144455693493479329679045466231469582609674158134183888720073154795033643042930856299497648777898097042397566960677072564894582783781015337327608685532344276949501689673748433008540834548545770983666897141<223>
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 150164349502186223423249529096580787367961204859006440715397867336391206661635677511117336049405443823677373079661162369731609409442355671431625209586819088542869796760750753390205515983529538379980932003319089280681710415129346788507831818393279502123600629 (258 digits)
Run 450 out of 1200:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:577152815
Step 1 took 6723ms
Step 2 took 4723ms
********** Factor found in step 2: 57168816938103411071788448182931969
Found prime factor of 35 digits: 57168816938103411071788448182931969
Prime cofactor 2626682823693359448144455693493479329679045466231469582609674158134183888720073154795033643042930856299497648777898097042397566960677072564894582783781015337327608685532344276949501689673748433008540834548545770983666897141 has 223 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-72-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
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6450 / 902Eric JeancolasMay 12, 2021 13:55:12 UTC 2021 年 5 月 12 日 (水) 22 時 55 分 12 秒 (日本時間)

65×10285+619

c238

composite cofactor 合成数の残り
2786561936532887557962601702144642575231086908583900215948579609829627795100832967119134787474682667759067317634277324157693153755557525062866247527858898213725709550284990019626795855204403120370926871919680749240453921278389564657328407<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 14, 2021 18:20:16 UTC 2021 年 5 月 15 日 (土) 3 時 20 分 16 秒 (日本時間)
403e62023Marlon TrifunovicFebruary 15, 2022 23:02:42 UTC 2022 年 2 月 16 日 (水) 8 時 2 分 42 秒 (日本時間)

65×10286+619

c264

composite cofactor 合成数の残り
313352044405991220042660778766880147784201094802112536371099262668265634993253511584268930414549342146155644764159968426835882517259537402272236336857649640092149028822537885154541125018335515450817458660092075449895353761977555874522310017867292037630866053231757<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 14, 2021 18:20:02 UTC 2021 年 5 月 15 日 (土) 3 時 20 分 2 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 5, 2022 12:56:25 UTC 2022 年 3 月 5 日 (土) 21 時 56 分 25 秒 (日本時間)

65×10287+619

c267

composite cofactor 合成数の残り
136053345580988763380726071055867020538111301044595957961790009078203603497389593516750837667096741578560964994153688458885011826924403364258591882954915603965328861691679228511924324649034560889885089732579470507494325448334742640328718214740357341340934031825205343<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 14, 2021 18:19:49 UTC 2021 年 5 月 15 日 (土) 3 時 19 分 49 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 2, 2022 15:26:42 UTC 2022 年 3 月 3 日 (木) 0 時 26 分 42 秒 (日本時間)

65×10289+619

c231

composite cofactor 合成数の残り
561903965330796596031317788771268055010951627811609021691860030798469519199467677503251948586637823182539021921456465574925121088904883491009425184055218205447043000488340671535782938849151272989738172381642249624813482778758694881<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 14, 2021 18:19:36 UTC 2021 年 5 月 15 日 (土) 3 時 19 分 36 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 22, 2022 20:07:20 UTC 2022 年 2 月 23 日 (水) 5 時 7 分 20 秒 (日本時間)

65×10291+619

c289

composite cofactor 合成数の残り
1148754926391318947387024371277592209674283795486276796917802166728522701164660763833660286658537016418358871039004648039163706413587119806302246257709912871357121396885990491843840022621635473552126963929095311312585052047434741883604616227488821730908576781011964724387183429652015623067<289>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 14, 2021 18:19:16 UTC 2021 年 5 月 15 日 (土) 3 時 19 分 16 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 9, 2022 08:54:07 UTC 2022 年 3 月 9 日 (水) 17 時 54 分 7 秒 (日本時間)

65×10292+619

c192

composite cofactor 合成数の残り
617534255787565840279189732916471236354666119718763613808077920919693421346075582695972591810329293090607628591516901578241259996352876046987771616017991993287979073137058712676425393778057553<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e635501200Dmitry DomanovFebruary 1, 2021 14:39:03 UTC 2021 年 2 月 1 日 (月) 23 時 39 分 3 秒 (日本時間)
2350Ignacio SantosMarch 4, 2021 16:03:30 UTC 2021 年 3 月 5 日 (金) 1 時 3 分 30 秒 (日本時間)
4511e64480Ignacio SantosApril 8, 2021 16:22:00 UTC 2021 年 4 月 9 日 (金) 1 時 22 分 0 秒 (日本時間)

65×10293+619

c228

composite cofactor 合成数の残り
807551197952144721118945853904798649281238198211837776090280126689118254781351925454784114873137038314815573332128148144736737362027668807955532711248891187755445008669146566368135135588279417308738793797915904022347468085635147<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 14, 2021 18:18:57 UTC 2021 年 5 月 15 日 (土) 3 時 18 分 57 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 3, 2022 02:00:41 UTC 2022 年 3 月 3 日 (木) 11 時 0 分 41 秒 (日本時間)

65×10294+619

c248

composite cofactor 合成数の残り
25963426102902803901927751446019543131161159769136143067590274831451450903322308545002818245913733114195237959293611406854101403207509862088606407238963288998280341930623938039455210591913871145976524576435080034588559679678546889381063125918533547<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 14, 2021 18:18:12 UTC 2021 年 5 月 15 日 (土) 3 時 18 分 12 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 23, 2022 20:43:56 UTC 2022 年 2 月 24 日 (木) 5 時 43 分 56 秒 (日本時間)

65×10295+619

c242

name 名前Marlon Trifunovic
date 日付April 15, 2022 00:52:56 UTC 2022 年 4 月 15 日 (金) 9 時 52 分 56 秒 (日本時間)
composite number 合成数
13512257989490791734778021919625629402572893366414937176727682861181625490452347600253695568624644311372416337274929316316471671605689707513875446935876469521022020623143622610438785289915732419034336585266132079303313082129209515207829043921<242>
prime factors 素因数
1711845411643706000567035805241834739<37>
7893386807934008757122648812528260149689838055331249788703844496414925332522340098350512756228688132087694636041264727810089413177918421363885120927100957006086055118872981397082612969018683022156473616939<205>
factorization results 素因数分解の結果
Run 411 out of 587:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:137729012
Step 1 took 25045ms
Step 2 took 9388ms
********** Factor found in step 2: 1711845411643706000567035805241834739
Found prime factor of 37 digits: 1711845411643706000567035805241834739
Prime cofactor 7893386807934008757122648812528260149689838055331249788703844496414925332522340098350512756228688132087694636041264727810089413177918421363885120927100957006086055118872981397082612969018683022156473616939 has 205 digits
software ソフトウェア
GMP-ECM 7.0.5-dev
execution environment 実行環境
Intel Xeon CPU E5-2695 v4 @ 2.10GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 14, 2021 18:17:56 UTC 2021 年 5 月 15 日 (土) 3 時 17 分 56 秒 (日本時間)

65×10296+619

c297

composite cofactor 合成数の残り
240740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740743<297>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 14, 2021 18:17:44 UTC 2021 年 5 月 15 日 (土) 3 時 17 分 44 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 10, 2022 23:18:26 UTC 2022 年 3 月 11 日 (金) 8 時 18 分 26 秒 (日本時間)

65×10298+619

c288

name 名前Eric Jeancolas
date 日付May 14, 2021 02:42:25 UTC 2021 年 5 月 14 日 (金) 11 時 42 分 25 秒 (日本時間)
composite number 合成数
342341928107385157528246218671801151757926889926432071378925863316534730406203291509335354796259386456323470014842010311939120077427973214716839616194446322655110125761030318239297663338174709427572499428234614845783610674870415748389230419050812886865469821058560299962090981318419611321<288>
prime factors 素因数
12989361838485762974166797312032575634541595611<47>
composite cofactor 合成数の残り
26355561756165053061303040036526073351785622266558002102088203823575106105379541180952945254773507607695880188922114475121144753070300216363026605533563757074653825394607814609542765317500378226251397904170059181310313436648599745159769263611<242>
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 342341928107385157528246218671801151757926889926432071378925863316534730406203291509335354796259386456323470014842010311939120077427973214716839616194446322655110125761030318239297663338174709427572499428234614845783610674870415748389230419050812886865469821058560299962090981318419611321 (288 digits)
Run 1014 out of 1200:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:590578409
Step 1 took 6639ms
Step 2 took 3232ms
********** Factor found in step 2: 12989361838485762974166797312032575634541595611
Found prime factor of 47 digits: 12989361838485762974166797312032575634541595611
Composite cofactor 26355561756165053061303040036526073351785622266558002102088203823575106105379541180952945254773507607695880188922114475121144753070300216363026605533563757074653825394607814609542765317500378226251397904170059181310313436648599745159769263611 has 242 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-72-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
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61014Eric JeancolasMay 14, 2021 02:40:09 UTC 2021 年 5 月 14 日 (金) 11 時 40 分 9 秒 (日本時間)
403e6601 / 2074Marlon TrifunovicMarch 1, 2022 18:17:36 UTC 2022 年 3 月 2 日 (水) 3 時 17 分 36 秒 (日本時間)

65×10299+619

c224

composite cofactor 合成数の残り
15469289753480452942390306748923206506586943451611547810368235587568301034516245478800503785269261064117910590455653791630830181928300421477265146004053921769745051070782564291508102753474190944888403800241096533352507633087<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 14, 2021 18:17:25 UTC 2021 年 5 月 15 日 (土) 3 時 17 分 25 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 22, 2022 21:51:10 UTC 2022 年 2 月 23 日 (水) 6 時 51 分 10 秒 (日本時間)

65×10300+619

c233

name 名前Dmitry Domanov
date 日付January 22, 2021 05:31:26 UTC 2021 年 1 月 22 日 (金) 14 時 31 分 26 秒 (日本時間)
composite number 合成数
60800490174806879158332101916054752960099287705996431785404527582722849601665372014875036911095316902833647064687803003139582148869091153287950370065622742211148847025421449924956155381785611638295791900941015955399350107278120835081<233>
prime factors 素因数
60594051160850290303147311250201255399<38>
composite cofactor 合成数の残り
1003406918831166857818308636669198346464970105416108936006163364812654568989268606368201001288152488554661519433562828331809018104702862866760136010155401525670352324674547207905736933154172517519<196>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1826437346
Step 1 took 27149ms
Step 2 took 11383ms
********** Factor found in step 2: 60594051160850290303147311250201255399
Found prime factor of 38 digits: 60594051160850290303147311250201255399
Composite cofactor 1003406918831166857818308636669198346464970105416108936006163364812654568989268606368201001288152488554661519433562828331809018104702862866760136010155401525670352324674547207905736933154172517519 has 196 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e635501200Dmitry DomanovJanuary 21, 2021 21:14:51 UTC 2021 年 1 月 22 日 (金) 6 時 14 分 51 秒 (日本時間)
2350Ignacio SantosMarch 4, 2021 17:21:13 UTC 2021 年 3 月 5 日 (金) 2 時 21 分 13 秒 (日本時間)
4511e664802000Dmitry DomanovMarch 19, 2021 13:55:42 UTC 2021 年 3 月 19 日 (金) 22 時 55 分 42 秒 (日本時間)
4480Ignacio SantosApril 10, 2021 21:43:29 UTC 2021 年 4 月 11 日 (日) 6 時 43 分 29 秒 (日本時間)