Table of contents 目次

86×10103-419

c103

name 名前Erik Branger
date 日付September 28, 2010 15:42:06 UTC 2010 年 9 月 29 日 (水) 0 時 42 分 6 秒 (日本時間)
composite number 合成数
1050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061<103>
prime factors 素因数
422543671831573291259137616361334541<36>
2485094725260981748970662252901959189002830269069114118384227606721<67>
factorization results 素因数分解の結果
Number: 95551_103
N = 1050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061 (103 digits)
SNFS difficulty: 105 digits.
Divisors found:
r1=422543671831573291259137616361334541 (pp36)
r2=2485094725260981748970662252901959189002830269069114118384227606721 (pp67)
Version: Msieve v. 1.45
Total time: 0.41 hours.
Factorization parameters were as follows:
n: 1050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061
m: 20000000000000000000000000
deg: 4
c4: 5375
c0: -41
skew: 0.30
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
Sieved rational special-q in [195000, 325000)
Relations: 981934
Relations in full relation-set: 58476 relations
Pruned matrix : 36585 x 36810
Polynomial selection time: 0.00 hours.
Total sieving time: 0.39 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
time per square root: 0.00 hours.
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--
351e6118 / 904Makoto KamadaSeptember 28, 2010 12:00:00 UTC 2010 年 9 月 28 日 (火) 21 時 0 分 0 秒 (日本時間)

86×10105-419

c92

name 名前Erik Branger
date 日付September 28, 2010 15:35:18 UTC 2010 年 9 月 29 日 (水) 0 時 35 分 18 秒 (日本時間)
composite number 合成数
51233915433706804736689713536179890877403388990759393478917092479909734928141675599145425391<92>
prime factors 素因数
385618853830164819739900082783590190951<39>
132861541713599326819361481882773136365366817616016441<54>
factorization results 素因数分解の結果
Number: 95551_105
N = 51233915433706804736689713536179890877403388990759393478917092479909734928141675599145425391 (92 digits)
SNFS difficulty: 107 digits.
Divisors found:
r1=385618853830164819739900082783590190951 (pp39)
r2=132861541713599326819361481882773136365366817616016441 (pp54)
Version: Msieve v. 1.47
Total time: 0.54 hours.
Factorization parameters were as follows:
n: 51233915433706804736689713536179890877403388990759393478917092479909734928141675599145425391
m: 100000000000000000000000000
deg: 4
c4: 860
c0: -41
skew: 0.47
type: snfs
lss: 1
rlim: 420000
alim: 420000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 420000/420000
Large primes per side: 3
Large prime bits: 25/25
Sieved rational special-q in [210000, 350000)
Relations: 990930
Relations in full relation-set: 63468 relations
Pruned matrix : 40475 x 40700
Polynomial selection time: 0.00 hours.
Total sieving time: 0.53 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
time per square root: 0.00 hours.
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--
351e6118 / 904Makoto KamadaSeptember 28, 2010 12:00:00 UTC 2010 年 9 月 28 日 (火) 21 時 0 分 0 秒 (日本時間)

86×10108-419

c99

name 名前Erik Branger
date 日付September 28, 2010 15:55:39 UTC 2010 年 9 月 29 日 (水) 0 時 55 分 39 秒 (日本時間)
composite number 合成数
162347127141158261434168478869205908526420699798195286888820308565542047311764559376518789955916553<99>
prime factors 素因数
8806341532248779469615715897297562474385963067<46>
18435252203953693896849073664600070652937744481726859<53>
factorization results 素因数分解の結果
Number: 95551_108
N = 162347127141158261434168478869205908526420699798195286888820308565542047311764559376518789955916553 (99 digits)
SNFS difficulty: 110 digits.
Divisors found:
r1=8806341532248779469615715897297562474385963067 (pp46)
r2=18435252203953693896849073664600070652937744481726859 (pp53)
Version: Msieve v. 1.47
Total time: 1.01 hours.
Factorization parameters were as follows:
n: 162347127141158261434168478869205908526420699798195286888820308565542047311764559376518789955916553
m: 1000000000000000000000
deg: 5
c5: 86000
c0: -41
skew: 0.22
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
Sieved rational special-q in [240000, 590000)
Relations: 1189143
Relations in full relation-set: 100064 relations
Pruned matrix : 63958 x 64206
Polynomial selection time: 0.00 hours.
Total sieving time: 0.97 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
time per square root: 0.03 hours.
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--
351e6118 / 904Makoto KamadaSeptember 28, 2010 12:00:00 UTC 2010 年 9 月 28 日 (火) 21 時 0 分 0 秒 (日本時間)

86×10111-419

c110

name 名前Erik Branger
date 日付September 28, 2010 16:31:05 UTC 2010 年 9 月 29 日 (水) 1 時 31 分 5 秒 (日本時間)
composite number 合成数
10090343775665845359615158981579256130470491610935116742930892878094567640502170597207556024873870702804176933<110>
prime factors 素因数
18307701662545519958901336517<29>
551152949816141723463655323397073952849480028061347986644302733080177357983322849<81>
factorization results 素因数分解の結果
Number: 95551_111
N = 10090343775665845359615158981579256130470491610935116742930892878094567640502170597207556024873870702804176933 (110 digits)
SNFS difficulty: 113 digits.
Divisors found:
r1=18307701662545519958901336517 (pp29)
r2=551152949816141723463655323397073952849480028061347986644302733080177357983322849 (pp81)
Version: Msieve v. 1.45
Total time: 1.46 hours.
Factorization parameters were as follows:
n: 10090343775665845359615158981579256130470491610935116742930892878094567640502170597207556024873870702804176933
m: 10000000000000000000000
deg: 5
c5: 860
c0: -41
skew: 0.54
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
Sieved rational special-q in [265000, 765000)
Relations: 1349167
Relations in full relation-set: 101426 relations
Pruned matrix : 69495 x 69720
Polynomial selection time: 0.00 hours.
Total sieving time: 1.41 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
time per square root: 0.01 hours.
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--
351e6118 / 904Makoto KamadaSeptember 28, 2010 12:00:00 UTC 2010 年 9 月 28 日 (火) 21 時 0 分 0 秒 (日本時間)

86×10113-419

c104

name 名前Dmitry Domanov
date 日付September 28, 2010 19:05:01 UTC 2010 年 9 月 29 日 (水) 4 時 5 分 1 秒 (日本時間)
composite number 合成数
42412444857440893277624880743923755964289751934084492443878887551358142516713525863292152543556663095341<104>
prime factors 素因数
4230031045298800906292009773619548139135973613321<49>
10026509120914729188553853144367779722610295542210063621<56>
factorization results 素因数分解の結果
Number: 113
N=42412444857440893277624880743923755964289751934084492443878887551358142516713525863292152543556663095341
  ( 104 digits)
SNFS difficulty: 114 digits.
Divisors found:
 r1=4230031045298800906292009773619548139135973613321 (pp49)
 r2=10026509120914729188553853144367779722610295542210063621 (pp56)
Version: Msieve-1.40
Total time: 0.03 hours.
Scaled time: 0.06 units (timescale=1.834).
Factorization parameters were as follows:
n: 42412444857440893277624880743923755964289751934084492443878887551358142516713525863292152543556663095341
m: 10000000000000000000000
deg: 5
c5: 86000
c0: -41
skew: 0.22
type: snfs
lss: 1
rlim: 580000
alim: 580000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 580000/580000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [290000, 290000)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,114.000,5,0,0,0,0,0,0,0,0,580000,580000,25,25,45,45,2.2,2.2,50000
total time: 0.03 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 28, 2010 12:00:00 UTC 2010 年 9 月 28 日 (火) 21 時 0 分 0 秒 (日本時間)

86×10117-419

c106

name 名前Dmitry Domanov
date 日付September 28, 2010 19:05:36 UTC 2010 年 9 月 29 日 (水) 4 時 5 分 36 秒 (日本時間)
composite number 合成数
1358216867554988491597713290734483422038954199960112731696080454913961852866789261048572406318035302164447<106>
prime factors 素因数
22722154172541175063139500693836271247686711795547<50>
59775004484228871016560796987275239143998912397884138701<56>
factorization results 素因数分解の結果
Number: 117
N=1358216867554988491597713290734483422038954199960112731696080454913961852866789261048572406318035302164447
  ( 106 digits)
SNFS difficulty: 118 digits.
Divisors found:
 r1=22722154172541175063139500693836271247686711795547 (pp50)
 r2=59775004484228871016560796987275239143998912397884138701 (pp56)
Version: Msieve-1.40
Total time: 1.38 hours.
Scaled time: 2.65 units (timescale=1.922).
Factorization parameters were as follows:
n: 1358216867554988491597713290734483422038954199960112731696080454913961852866789261048572406318035302164447
m: 100000000000000000000000
deg: 5
c5: 8600
c0: -41
skew: 0.34
type: snfs
lss: 1
rlim: 670000
alim: 670000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 670000/670000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [335000, 685001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 86415 x 86640
Total sieving time: 1.34 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,118.000,5,0,0,0,0,0,0,0,0,670000,670000,25,25,45,45,2.2,2.2,50000
total time: 1.38 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--
351e6118 / 904Makoto KamadaSeptember 28, 2010 12:00:00 UTC 2010 年 9 月 28 日 (火) 21 時 0 分 0 秒 (日本時間)

86×10121-419

c117

name 名前Dmitry Domanov
date 日付September 28, 2010 19:07:50 UTC 2010 年 9 月 29 日 (水) 4 時 7 分 50 秒 (日本時間)
composite number 合成数
365492882026122541263508893164305625147950243669004546136463992363748715993756021601479311190414566676313978785263157<117>
prime factors 素因数
331076559851542822580675420219587<33>
1103952760020257103131641976412792493944658190151288112188292345050961191853416947111<85>
factorization results 素因数分解の結果
Number: 121
N=365492882026122541263508893164305625147950243669004546136463992363748715993756021601479311190414566676313978785263157
  ( 117 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=331076559851542822580675420219587 (pp33)
 r2=1103952760020257103131641976412792493944658190151288112188292345050961191853416947111 (pp85)
Version: Msieve-1.40
Total time: 1.84 hours.
Scaled time: 3.58 units (timescale=1.946).
Factorization parameters were as follows:
n: 365492882026122541263508893164305625147950243669004546136463992363748715993756021601479311190414566676313978785263157
m: 1000000000000000000000000
deg: 5
c5: 860
c0: -41
skew: 0.54
type: snfs
lss: 1
rlim: 780000
alim: 780000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor 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, 840001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 93335 x 93561
Total sieving time: 1.80 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,122.000,5,0,0,0,0,0,0,0,0,780000,780000,25,25,46,46,2.2,2.2,50000
total time: 1.84 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--
351e6118 / 904Makoto KamadaSeptember 28, 2010 12:00:00 UTC 2010 年 9 月 28 日 (火) 21 時 0 分 0 秒 (日本時間)

86×10123-419

c89

name 名前Erik Branger
date 日付September 28, 2010 16:08:40 UTC 2010 年 9 月 29 日 (水) 1 時 8 分 40 秒 (日本時間)
composite number 合成数
15756960106934897755292198014471162431448036894515823504034797609239610118698223025531187<89>
prime factors 素因数
1157208940463836145464333952313040031<37>
13616348401714856434950575776761315986974518720304877<53>
factorization results 素因数分解の結果
09/28/2010 17:58:16 v1.19.2 @ PULSE, starting SIQS on c89: 15756960106934897755292198014471162431448036894515823504034797609239610118698223025531187
09/28/2010 17:58:16 v1.19.2 @ PULSE, random seeds: 0, 258274200
09/28/2010 17:58:16 v1.19.2 @ PULSE, ==== sieve params ====
09/28/2010 17:58:16 v1.19.2 @ PULSE, n = 89 digits, 295 bits
09/28/2010 17:58:16 v1.19.2 @ PULSE, factor base: 62272 primes (max prime = 1658051)
09/28/2010 17:58:16 v1.19.2 @ PULSE, single large prime cutoff: 182385610 (110 * pmax)
09/28/2010 17:58:16 v1.19.2 @ PULSE, double large prime range from 43 to 50 bits
09/28/2010 17:58:16 v1.19.2 @ PULSE, double large prime cutoff: 740939974527153
09/28/2010 17:58:16 v1.19.2 @ PULSE, allocating 22 large prime slices of factor base
09/28/2010 17:58:16 v1.19.2 @ PULSE, buckets hold 1024 elements
09/28/2010 17:58:16 v1.19.2 @ PULSE, sieve interval: 9 blocks of size 65536
09/28/2010 17:58:16 v1.19.2 @ PULSE, polynomial A has ~ 11 factors
09/28/2010 17:58:16 v1.19.2 @ PULSE, using multiplier of 3
09/28/2010 17:58:16 v1.19.2 @ PULSE, using small prime variation correction of 22 bits
09/28/2010 17:58:16 v1.19.2 @ PULSE, using SSE2 for trial division and x128 sieve scanning
09/28/2010 17:58:16 v1.19.2 @ PULSE, trial factoring cutoff at 97 bits
09/28/2010 17:58:16 v1.19.2 @ PULSE, ==== sieving started ( 4 threads) ====
09/28/2010 18:07:28 v1.19.2 @ PULSE, trial division touched 10285543 sieve locations out of 31936001605632
09/28/2010 18:07:28 v1.19.2 @ PULSE, 62624 relations found: 22354 full + 40270 from 620892 partial, using 27072484 polys (851 A polys)
09/28/2010 18:07:28 v1.19.2 @ PULSE, on average, sieving found 0.02 rels/poly and 1164.63 rels/sec
09/28/2010 18:07:28 v1.19.2 @ PULSE, trial division touched 10285543 sieve locations out of 31936001605632
09/28/2010 18:07:28 v1.19.2 @ PULSE, ==== post processing stage (msieve-1.38) ====
09/28/2010 18:07:29 v1.19.2 @ PULSE, begin with 643246 relations
09/28/2010 18:07:29 v1.19.2 @ PULSE, reduce to 125172 relations in 11 passes
09/28/2010 18:07:33 v1.19.2 @ PULSE, recovered 125172 relations
09/28/2010 18:07:33 v1.19.2 @ PULSE, recovered 98716 polynomials
09/28/2010 18:07:33 v1.19.2 @ PULSE, attempting to build 62624 cycles
09/28/2010 18:07:33 v1.19.2 @ PULSE, found 62624 cycles in 4 passes
09/28/2010 18:07:33 v1.19.2 @ PULSE, distribution of cycle lengths:
09/28/2010 18:07:33 v1.19.2 @ PULSE,    length 1 : 22354
09/28/2010 18:07:33 v1.19.2 @ PULSE,    length 2 : 17844
09/28/2010 18:07:33 v1.19.2 @ PULSE,    length 3 : 11223
09/28/2010 18:07:33 v1.19.2 @ PULSE,    length 4 : 5895
09/28/2010 18:07:33 v1.19.2 @ PULSE,    length 5 : 2933
09/28/2010 18:07:33 v1.19.2 @ PULSE,    length 6 : 1354
09/28/2010 18:07:33 v1.19.2 @ PULSE,    length 7 : 613
09/28/2010 18:07:33 v1.19.2 @ PULSE,    length 9+: 408
09/28/2010 18:07:33 v1.19.2 @ PULSE, largest cycle: 14 relations
09/28/2010 18:07:33 v1.19.2 @ PULSE, matrix is 62272 x 62624 (12.9 MB) with weight 2873132 (45.88/col)
09/28/2010 18:07:33 v1.19.2 @ PULSE, sparse part has weight 2873132 (45.88/col)
09/28/2010 18:07:33 v1.19.2 @ PULSE, filtering completed in 4 passes
09/28/2010 18:07:33 v1.19.2 @ PULSE, matrix is 53967 x 54031 (11.3 MB) with weight 2541909 (47.05/col)
09/28/2010 18:07:33 v1.19.2 @ PULSE, sparse part has weight 2541909 (47.05/col)
09/28/2010 18:07:33 v1.19.2 @ PULSE, saving the first 48 matrix rows for later
09/28/2010 18:07:33 v1.19.2 @ PULSE, matrix is 53919 x 54031 (9.8 MB) with weight 2148357 (39.76/col)
09/28/2010 18:07:33 v1.19.2 @ PULSE, sparse part has weight 2030053 (37.57/col)
09/28/2010 18:07:33 v1.19.2 @ PULSE, matrix includes 64 packed rows
09/28/2010 18:07:33 v1.19.2 @ PULSE, using block size 10922 for processor cache size 256 kB
09/28/2010 18:07:34 v1.19.2 @ PULSE, commencing Lanczos iteration
09/28/2010 18:07:34 v1.19.2 @ PULSE, memory use: 8.2 MB
09/28/2010 18:07:44 v1.19.2 @ PULSE, lanczos halted after 854 iterations (dim = 53913)
09/28/2010 18:07:44 v1.19.2 @ PULSE, recovered 15 nontrivial dependencies
09/28/2010 18:07:45 v1.19.2 @ PULSE, prp37 = 1157208940463836145464333952313040031
09/28/2010 18:07:45 v1.19.2 @ PULSE, prp53 = 13616348401714856434950575776761315986974518720304877
09/28/2010 18:07:45 v1.19.2 @ PULSE, Lanczos elapsed time = 16.2870 seconds.
09/28/2010 18:07:45 v1.19.2 @ PULSE, Sqrt elapsed time = 0.2800 seconds.
09/28/2010 18:07:45 v1.19.2 @ PULSE, SIQS elapsed time = 568.8850 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--
351e6118 / 904Makoto KamadaSeptember 28, 2010 12:00:00 UTC 2010 年 9 月 28 日 (火) 21 時 0 分 0 秒 (日本時間)

86×10125-419

c106

name 名前Dmitry Domanov
date 日付September 28, 2010 19:08:52 UTC 2010 年 9 月 29 日 (水) 4 時 8 分 52 秒 (日本時間)
composite number 合成数
3003653360710659620843513601262291517216166723160749018608376359771604971942988188692945534695777077844331<106>
prime factors 素因数
226770418195899333706298041292699541179835196896569<51>
13245349127133083787546072875858250154810351000249436099<56>
factorization results 素因数分解の結果
Number: 125
N=3003653360710659620843513601262291517216166723160749018608376359771604971942988188692945534695777077844331
  ( 106 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=226770418195899333706298041292699541179835196896569 (pp51)
 r2=13245349127133083787546072875858250154810351000249436099 (pp56)
Version: Msieve-1.40
Total time: 1.48 hours.
Scaled time: 2.65 units (timescale=1.783).
Factorization parameters were as follows:
n: 3003653360710659620843513601262291517216166723160749018608376359771604971942988188692945534695777077844331
m: 10000000000000000000000000
deg: 5
c5: 86
c0: -41
skew: 0.86
type: snfs
lss: 1
rlim: 910000
alim: 910000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3Factor base limits: 910000/910000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [455000, 755001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 141098 x 141346
Total sieving time: 1.41 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,126.000,5,0,0,0,0,0,0,0,0,910000,910000,26,26,46,46,2.3,2.3,50000
total time: 1.48 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--
351e6118 / 904Makoto KamadaSeptember 28, 2010 12:00:00 UTC 2010 年 9 月 28 日 (火) 21 時 0 分 0 秒 (日本時間)

86×10128-419

c129

name 名前Ignacio Santos
date 日付September 28, 2010 18:22:16 UTC 2010 年 9 月 29 日 (水) 3 時 22 分 16 秒 (日本時間)
composite number 合成数
318518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518517<129>
prime factors 素因数
6823558926676208595937099075753<31>
46679236149525063511180396649184222518223648272089483282263581689016729871059699479527249229300589<98>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=150479516
Step 1 took 17519ms
Step 2 took 10390ms
********** Factor found in step 2: 6823558926676208595937099075753
Found probable prime factor of 31 digits: 6823558926676208595937099075753
Probable prime cofactor 46679236149525063511180396649184222518223648272089483282263581689016729871059699479527249229300589 has 98 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--
351e6118 / 904Makoto KamadaSeptember 28, 2010 12:00:00 UTC 2010 年 9 月 28 日 (火) 21 時 0 分 0 秒 (日本時間)

86×10129-419

c118

name 名前Dmitry Domanov
date 日付September 28, 2010 19:38:54 UTC 2010 年 9 月 29 日 (水) 4 時 38 分 54 秒 (日本時間)
composite number 合成数
6781005728239485659326125962726454205616581309447488605765060904919286871019275286064389424715992393937643683532855457<118>
prime factors 素因数
125831350981480068834078679998177929777<39>
53889636210275752443419080538828499839849077982559480954973355726843963220969841<80>
factorization results 素因数分解の結果
Number: s129
N=6781005728239485659326125962726454205616581309447488605765060904919286871019275286064389424715992393937643683532855457
  ( 118 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=125831350981480068834078679998177929777 (pp39)
 r2=53889636210275752443419080538828499839849077982559480954973355726843963220969841 (pp80)
Version: Msieve-1.40
Total time: 2.03 hours.
Scaled time: 3.85 units (timescale=1.899).
Factorization parameters were as follows:
n: 6781005728239485659326125962726454205616581309447488605765060904919286871019275286064389424715992393937643683532855457
m: 20000000000000000000000000
deg: 5
c5: 26875
c0: -41
skew: 0.27
type: snfs
lss: 1
rlim: 1060000
alim: 1060000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1060000/1060000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [530000, 930001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 169506 x 169743
Total sieving time: 1.92 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,130.000,5,0,0,0,0,0,0,0,0,1060000,1060000,26,26,47,47,2.3,2.3,50000
total time: 2.03 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 28, 2010 12:00:00 UTC 2010 年 9 月 28 日 (火) 21 時 0 分 0 秒 (日本時間)

86×10130-419

c98

name 名前Dmitry Domanov
date 日付September 28, 2010 20:11:18 UTC 2010 年 9 月 29 日 (水) 5 時 11 分 18 秒 (日本時間)
composite number 合成数
48879269354582512565506270763105124454460749738472096544101961574727387602394823488628201368322059<98>
prime factors 素因数
89594382688404255545149716937625753<35>
545561762779004083154749532242272932596345208974880580598081603<63>
factorization results 素因数分解の結果
Number: 130
N=48879269354582512565506270763105124454460749738472096544101961574727387602394823488628201368322059
  ( 98 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=89594382688404255545149716937625753 (pp35)
 r2=545561762779004083154749532242272932596345208974880580598081603 (pp63)
Version: Msieve-1.40
Total time: 2.56 hours.
Scaled time: 4.98 units (timescale=1.946).
Factorization parameters were as follows:
n: 48879269354582512565506270763105124454460749738472096544101961574727387602394823488628201368322059
m: 100000000000000000000000000
deg: 5
c5: 86
c0: -41
skew: 0.86
type: snfs
lss: 1
rlim: 1110000
alim: 1110000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1110000/1110000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [555000, 1055001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 146546 x 146777
Total sieving time: 2.44 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,131.000,5,0,0,0,0,0,0,0,0,1110000,1110000,26,26,47,47,2.3,2.3,50000
total time: 2.56 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--
351e6118 / 904Makoto KamadaSeptember 28, 2010 12:00:00 UTC 2010 年 9 月 28 日 (火) 21 時 0 分 0 秒 (日本時間)

86×10131-419

c132

name 名前Dmitry Domanov
date 日付September 28, 2010 21:00:19 UTC 2010 年 9 月 29 日 (水) 6 時 0 分 19 秒 (日本時間)
composite number 合成数
318518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518517<132>
prime factors 素因数
132576820352382355470867396428162531<36>
1419485531839941263116669840846332506485428954263<49>
1692528996704507513836735406484743523815340999889<49>
factorization results 素因数分解の結果
Number: 131
N=318518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518517
  ( 132 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=132576820352382355470867396428162531 (pp36)
 r2=1419485531839941263116669840846332506485428954263 (pp49)
 r3=1692528996704507513836735406484743523815340999889 (pp49)
Version: Msieve-1.40
Total time: 3.46 hours.
Scaled time: 6.59 units (timescale=1.905).
Factorization parameters were as follows:
n: 318518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518517
m: 100000000000000000000000000
deg: 5
c5: 860
c0: -41
skew: 0.54
type: snfs
lss: 1
rlim: 1150000
alim: 1150000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1150000/1150000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [575000, 1275001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 188432 x 188657
Total sieving time: 3.25 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,132.000,5,0,0,0,0,0,0,0,0,1150000,1150000,26,26,47,47,2.3,2.3,50000
total time: 3.46 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--
351e6118 / 904Makoto KamadaSeptember 28, 2010 12:00:00 UTC 2010 年 9 月 28 日 (火) 21 時 0 分 0 秒 (日本時間)

86×10133-419

c101

name 名前Dmitry Domanov
date 日付September 28, 2010 21:37:54 UTC 2010 年 9 月 29 日 (水) 6 時 37 分 54 秒 (日本時間)
composite number 合成数
27561936784041503588548647093085890634526801136741471657464620310351798040548018207332787319782856103<101>
prime factors 素因数
636110005722119654574888583369344765407571271<45>
43328884212020631067183050331627949852396710156864504993<56>
factorization results 素因数分解の結果
Number: 133
N=27561936784041503588548647093085890634526801136741471657464620310351798040548018207332787319782856103
  ( 101 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=636110005722119654574888583369344765407571271 (pp45)
 r2=43328884212020631067183050331627949852396710156864504993 (pp56)
Version: Msieve-1.40
Total time: 3.70 hours.
Scaled time: 6.85 units (timescale=1.850).
Factorization parameters were as follows:
n: 27561936784041503588548647093085890634526801136741471657464620310351798040548018207332787319782856103
m: 100000000000000000000000000
deg: 5
c5: 86000
c0: -41
skew: 0.22
type: snfs
lss: 1
rlim: 1240000
alim: 1240000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1240000/1240000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [620000, 1370001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 202330 x 202555
Total sieving time: 3.58 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,134.000,5,0,0,0,0,0,0,0,0,1240000,1240000,26,26,47,47,2.3,2.3,75000
total time: 3.70 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--
351e6118 / 904Makoto KamadaSeptember 28, 2010 12:00:00 UTC 2010 年 9 月 28 日 (火) 21 時 0 分 0 秒 (日本時間)

86×10135-419

c102

name 名前Dmitry Domanov
date 日付September 28, 2010 22:24:49 UTC 2010 年 9 月 29 日 (水) 7 時 24 分 49 秒 (日本時間)
composite number 合成数
223020662503632706654850733101248579120413271857602095159135969619560094219450116840562584405501523653<102>
prime factors 素因数
238648839813526389980404443833624149799952806317<48>
934513918768240778799191583988542998280076091342220409<54>
factorization results 素因数分解の結果
Number: 135
N=223020662503632706654850733101248579120413271857602095159135969619560094219450116840562584405501523653
  ( 102 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=238648839813526389980404443833624149799952806317 (pp48)
 r2=934513918768240778799191583988542998280076091342220409 (pp54)
Version: Msieve-1.40
Total time: 3.54 hours.
Scaled time: 6.43 units (timescale=1.819).
Factorization parameters were as follows:
n: 223020662503632706654850733101248579120413271857602095159135969619560094219450116840562584405501523653
m: 1000000000000000000000000000
deg: 5
c5: 86
c0: -41
skew: 0.86
type: snfs
lss: 1
rlim: 1340000
alim: 1340000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1340000/1340000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [670000, 1345001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 200675 x 200900
Total sieving time: 3.43 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,136.000,5,0,0,0,0,0,0,0,0,1340000,1340000,26,26,48,48,2.3,2.3,75000
total time: 3.54 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
3025e40--
351e6118 / 904Makoto KamadaSeptember 28, 2010 12:00:00 UTC 2010 年 9 月 28 日 (火) 21 時 0 分 0 秒 (日本時間)

86×10136-419

c99

name 名前Dmitry Domanov
date 日付October 1, 2010 06:02:02 UTC 2010 年 10 月 1 日 (金) 15 時 2 分 2 秒 (日本時間)
composite number 合成数
321365960950327025701850652222287025380879672248751550218569419623766671076436953131029304197197791<99>
prime factors 素因数
135337863821719170579331811425909060495061<42>
2374545835699483381736749146416931476136641908673468136931<58>
factorization results 素因数分解の結果
Number: wq12
N=321365960950327025701850652222287025380879672248751550218569419623766671076436953131029304197197791
  ( 99 digits)
Divisors found:
 r1=135337863821719170579331811425909060495061 (pp42)
 r2=2374545835699483381736749146416931476136641908673468136931 (pp58)
Version: Msieve-1.40
Total time: 3.12 hours.
Scaled time: 5.94 units (timescale=1.905).
Factorization parameters were as follows:
name: wq12
n: 321365960950327025701850652222287025380879672248751550218569419623766671076436953131029304197197791
skew: 3598.96
# norm 5.01e+013
c5: 291060
c4: 17499981
c3: -10429390520840
c2: -3988065373114074
c1: 66975115504026329100
c0: -44233389649037271626775
# alpha -6.08
Y1: 34129548983
Y0: -4060723569166305842
# Murphy_E 4.20e-009
# M 276667351322834398606725636843049868312214466782182358684667259676286072852403010053179042904647961
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, 1300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 189708 x 189934
Polynomial selection time: 0.33 hours.
Total sieving time: 2.63 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
gnfs,98,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 3.12 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--
351e6118 / 904Makoto KamadaSeptember 28, 2010 12:00:00 UTC 2010 年 9 月 28 日 (火) 21 時 0 分 0 秒 (日本時間)

86×10138-419

c115

name 名前Dmitry Domanov
date 日付September 29, 2010 03:53:27 UTC 2010 年 9 月 29 日 (水) 12 時 53 分 27 秒 (日本時間)
composite number 合成数
6449673027525294733984224710316835783927409911066598317860058243052809868106593170323834798271488842365893925892129<115>
prime factors 素因数
428381096798781402041168438991555629165813<42>
15055923512317880249763297645992324838339372746959827221973681747823803133<74>
factorization results 素因数分解の結果
Number: ss138
N=6449673027525294733984224710316835783927409911066598317860058243052809868106593170323834798271488842365893925892129
  ( 115 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=428381096798781402041168438991555629165813 (pp42)
 r2=15055923512317880249763297645992324838339372746959827221973681747823803133 (pp74)
Version: Msieve-1.40
Total time: 6.06 hours.
Scaled time: 11.72 units (timescale=1.934).
Factorization parameters were as follows:
n: 6449673027525294733984224710316835783927409911066598317860058243052809868106593170323834798271488842365893925892129
m: 1000000000000000000000000000
deg: 5
c5: 86000
c0: -41
skew: 0.22
type: snfs
lss: 1
rlim: 1500000
alim: 1500000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [750000, 1950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 252017 x 252243
Total sieving time: 5.90 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,139.000,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,48,48,2.3,2.3,75000
total time: 6.06 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--
351e6118 / 904Makoto KamadaSeptember 28, 2010 12:00:00 UTC 2010 年 9 月 28 日 (火) 21 時 0 分 0 秒 (日本時間)

86×10140-419

c100

name 名前Erik Branger
date 日付September 28, 2010 18:47:09 UTC 2010 年 9 月 29 日 (水) 3 時 47 分 9 秒 (日本時間)
composite number 合成数
4668974562288429185716053186693777704027460971224887918064444194922695794870490789105261337786411417<100>
prime factors 素因数
18152879387971936265588180527902860309<38>
257202973836871463361685687179814232703938131355083158325738613<63>
factorization results 素因数分解の結果
Number: 95551_140
N = 4668974562288429185716053186693777704027460971224887918064444194922695794870490789105261337786411417 (100 

digits)
Divisors found:
r1=18152879387971936265588180527902860309 (pp38)
r2=257202973836871463361685687179814232703938131355083158325738613 (pp63)
Version: Msieve v. 1.47
Total time: 5.41 hours.
Factorization parameters were as follows:
n: 4668974562288429185716053186693777704027460971224887918064444194922695794870490789105261337786411417 
Y0: -1897639616477916924392601
Y1: 83488914116537
c0: -3413628307851130631748131852
c1: 2200306675367413028576
c2: -1916986066554953
c3: 1207000134
c4: 360
skew: 2724173.32
type: gnfs
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Sieved algebraic special-q in [900000, 1300000)
Relations: 4874314
Relations in full relation-set: 285786 relations
Pruned matrix : 178709 x 178935
Polynomial selection time: 0.00 hours.
Total sieving time: 5.30 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.07 hours.
time per square root: 0.01 hours.
Prototype def-par.txt line would be: 

gnfs,99,4,58,1500,0.003,0.4,220,15,10000,2000,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 5.41 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--
351e6118 / 904Makoto KamadaSeptember 28, 2010 12:00:00 UTC 2010 年 9 月 28 日 (火) 21 時 0 分 0 秒 (日本時間)

86×10141-419

c114

name 名前Dmitry Domanov
date 日付September 29, 2010 03:53:58 UTC 2010 年 9 月 29 日 (水) 12 時 53 分 58 秒 (日本時間)
composite number 合成数
495716706584415031172777223170679501094806441230759882174177807488710878521194302710793598503664948479093794922711<114>
prime factors 素因数
987458429172249804051429207042583378399<39>
502012734855031994428067084571762666067592305230896892865258490604830074889<75>
factorization results 素因数分解の結果
Number: 141
N=495716706584415031172777223170679501094806441230759882174177807488710878521194302710793598503664948479093794922711
  ( 114 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=987458429172249804051429207042583378399 (pp39)
 r2=502012734855031994428067084571762666067592305230896892865258490604830074889 (pp75)
Version: Msieve-1.40
Total time: 7.16 hours.
Scaled time: 13.45 units (timescale=1.877).
Factorization parameters were as follows:
n: 495716706584415031172777223170679501094806441230759882174177807488710878521194302710793598503664948479093794922711
m: 10000000000000000000000000000
deg: 5
c5: 860
c0: -41
skew: 0.54
type: snfs
lss: 1
rlim: 1690000
alim: 1690000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1690000/1690000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [845000, 2245001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 310848 x 311073
Total sieving time: 6.98 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,142.000,5,0,0,0,0,0,0,0,0,1690000,1690000,26,26,48,48,2.3,2.3,100000
total time: 7.16 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--
351e6118 / 904Makoto KamadaSeptember 28, 2010 12:00:00 UTC 2010 年 9 月 28 日 (火) 21 時 0 分 0 秒 (日本時間)

86×10143-419

c132

name 名前Dmitry Domanov
date 日付September 29, 2010 03:54:39 UTC 2010 年 9 月 29 日 (水) 12 時 54 分 39 秒 (日本時間)
composite number 合成数
596874759350510455681123244119878962986868892825962607394279657445054599692106554758559037051620786602617834857610893152937034737587<132>
prime factors 素因数
1508723746361734864754181689127535541<37>
395615672378634699329908451386069199134056104582901973581596646889451102963656817776918038916807<96>
factorization results 素因数分解の結果
Number: 143
N=596874759350510455681123244119878962986868892825962607394279657445054599692106554758559037051620786602617834857610893152937034737587
  ( 132 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=1508723746361734864754181689127535541 (pp37)
 r2=395615672378634699329908451386069199134056104582901973581596646889451102963656817776918038916807 (pp96)
Version: Msieve-1.40
Total time: 8.90 hours.
Scaled time: 16.60 units (timescale=1.866).
Factorization parameters were as follows:
n: 596874759350510455681123244119878962986868892825962607394279657445054599692106554758559037051620786602617834857610893152937034737587
m: 10000000000000000000000000000
deg: 5
c5: 86000
c0: -41
skew: 0.22
type: snfs
lss: 1
rlim: 1820000
alim: 1820000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1820000/1820000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [910000, 2610001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 335406 x 335631
Total sieving time: 8.61 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,144.000,5,0,0,0,0,0,0,0,0,1820000,1820000,26,26,49,49,2.3,2.3,100000
total time: 8.90 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--
351e6118 / 904Makoto KamadaSeptember 28, 2010 12:00:00 UTC 2010 年 9 月 28 日 (火) 21 時 0 分 0 秒 (日本時間)

86×10146-419

c120

name 名前Dmitry Domanov
date 日付September 29, 2010 05:02:27 UTC 2010 年 9 月 29 日 (水) 14 時 2 分 27 秒 (日本時間)
composite number 合成数
412425622864346821538670106992979746063522211627301645679305986347284339280954159577326296215790704542016018845477250087<120>
prime factors 素因数
2292736236594278866508710585368448618273244802997<49>
179883588998000119785876596439597936782802934428078930002899099228820971<72>
factorization results 素因数分解の結果
Number: 146
N=412425622864346821538670106992979746063522211627301645679305986347284339280954159577326296215790704542016018845477250087
  ( 120 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=2292736236594278866508710585368448618273244802997 (pp49)
 r2=179883588998000119785876596439597936782802934428078930002899099228820971 (pp72)
Version: Msieve-1.40
Total time: 11.13 hours.
Scaled time: 21.92 units (timescale=1.969).
Factorization parameters were as follows:
n: 412425622864346821538670106992979746063522211627301645679305986347284339280954159577326296215790704542016018845477250087
m: 100000000000000000000000000000
deg: 5
c5: 860
c0: -41
skew: 0.54
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor 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: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 388820 x 389045
Total sieving time: 10.84 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.19 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,147.000,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,100000
total time: 11.13 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--
351e6118 / 904Makoto KamadaSeptember 28, 2010 12:00:00 UTC 2010 年 9 月 28 日 (火) 21 時 0 分 0 秒 (日本時間)

86×10147-419

c121

name 名前Dmitry Domanov
date 日付September 29, 2010 08:57:36 UTC 2010 年 9 月 29 日 (水) 17 時 57 分 36 秒 (日本時間)
composite number 合成数
3976644547858733313177082033649461953395115922922368792627303703057266983297371216997375122433812240542410917813224491277<121>
prime factors 素因数
40721099539806804928097284629294688151535305151793<50>
97655627986453921259898028343483873923898505284447424278596457166776989<71>
factorization results 素因数分解の結果
Number: 147
N=3976644547858733313177082033649461953395115922922368792627303703057266983297371216997375122433812240542410917813224491277
  ( 121 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=40721099539806804928097284629294688151535305151793 (pp50)
 r2=97655627986453921259898028343483873923898505284447424278596457166776989 (pp71)
Version: Msieve-1.40
Total time: 12.32 hours.
Scaled time: 23.07 units (timescale=1.872).
Factorization parameters were as follows:
n: 3976644547858733313177082033649461953395115922922368792627303703057266983297371216997375122433812240542410917813224491277
m: 100000000000000000000000000000
deg: 5
c5: 8600
c0: -41
skew: 0.34
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1050000, 3350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 409905 x 410131
Total sieving time: 11.93 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.21 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,148.000,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 12.32 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--
351e6118 / 904Makoto KamadaSeptember 28, 2010 12:00:00 UTC 2010 年 9 月 28 日 (火) 21 時 0 分 0 秒 (日本時間)

86×10148-419

c135

name 名前Dmitry Domanov
date 日付September 29, 2010 11:40:34 UTC 2010 年 9 月 29 日 (水) 20 時 40 分 34 秒 (日本時間)
composite number 合成数
745579429602146462926061795344884454987788654781977996974047487078095736303447588281336829301021892765993554425313402415094517979371289<135>
prime factors 素因数
22031442813658959392208070721018307295793<41>
33841607011770710131849456181217166208368755484974109947452056797402652169428724725077276608873<95>
factorization results 素因数分解の結果
Number: 148
N=745579429602146462926061795344884454987788654781977996974047487078095736303447588281336829301021892765993554425313402415094517979371289
  ( 135 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=22031442813658959392208070721018307295793 (pp41)
 r2=33841607011770710131849456181217166208368755484974109947452056797402652169428724725077276608873 (pp95)
Version: Msieve-1.40
Total time: 13.14 hours.
Scaled time: 25.49 units (timescale=1.939).
Factorization parameters were as follows:
n: 745579429602146462926061795344884454987788654781977996974047487078095736303447588281336829301021892765993554425313402415094517979371289
m: 100000000000000000000000000000
deg: 5
c5: 86000
c0: -41
skew: 0.22
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1100000, 3500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 441099 x 441324
Total sieving time: 12.70 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.24 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,149.000,5,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000
total time: 13.14 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--
351e6118 / 904Makoto KamadaSeptember 28, 2010 12:00:00 UTC 2010 年 9 月 28 日 (火) 21 時 0 分 0 秒 (日本時間)

86×10149-419

c114

name 名前Dmitry Domanov
date 日付September 29, 2010 13:10:26 UTC 2010 年 9 月 29 日 (水) 22 時 10 分 26 秒 (日本時間)
composite number 合成数
790126718993114735612119506137932446697063311419873557579985993060935202414989894633116908551496391316537268684063<114>
prime factors 素因数
316153842136252638998388201788639182537<39>
2499184301080213598184260033404824262320887134269334809510888098028408901799<76>
factorization results 素因数分解の結果
Number: 149
N=790126718993114735612119506137932446697063311419873557579985993060935202414989894633116908551496391316537268684063
  ( 114 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=316153842136252638998388201788639182537 (pp39)
 r2=2499184301080213598184260033404824262320887134269334809510888098028408901799 (pp76)
Version: Msieve-1.40
Total time: 11.49 hours.
Scaled time: 21.90 units (timescale=1.905).
Factorization parameters were as follows:
n: 790126718993114735612119506137932446697063311419873557579985993060935202414989894633116908551496391316537268684063
m: 200000000000000000000000000000
deg: 5
c5: 26875
c0: -41
skew: 0.27
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4Factor 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, 1850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 426122 x 426346
Total sieving time: 11.11 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.22 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,150.000,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 11.49 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--
351e6118 / 904Makoto KamadaSeptember 28, 2010 12:00:00 UTC 2010 年 9 月 28 日 (火) 21 時 0 分 0 秒 (日本時間)

86×10150-419

c134

name 名前Dmitry Domanov
date 日付September 29, 2010 17:06:18 UTC 2010 年 9 月 30 日 (木) 2 時 6 分 18 秒 (日本時間)
composite number 合成数
83143778837054057462702275996851551999773313240274735607329907060568767054005961645546861213375785057122020211798963011633951752589979<134>
prime factors 素因数
30007310060614587574818874925532143330726263691<47>
2770784141234389869766101697157684946339853103302531748967227358423871953945944153368369<88>
factorization results 素因数分解の結果
Number: ss150
N=83143778837054057462702275996851551999773313240274735607329907060568767054005961645546861213375785057122020211798963011633951752589979
  ( 134 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=30007310060614587574818874925532143330726263691 (pp47)
 r2=2770784141234389869766101697157684946339853103302531748967227358423871953945944153368369 (pp88)
Version: Msieve-1.40
Total time: 13.17 hours.
Scaled time: 24.43 units (timescale=1.855).
Factorization parameters were as follows:
n: 83143778837054057462702275996851551999773313240274735607329907060568767054005961645546861213375785057122020211798963011633951752589979
m: 1000000000000000000000000000000
deg: 5
c5: 86
c0: -41
skew: 0.86
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1200000, 2000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 412736 x 412963
Total sieving time: 12.86 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.22 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,151.000,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,49,49,2.4,2.4,100000
total time: 13.17 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--
351e6118 / 904Makoto KamadaSeptember 28, 2010 12:00:00 UTC 2010 年 9 月 28 日 (火) 21 時 0 分 0 秒 (日本時間)

86×10152-419

c139

name 名前Dmitry Domanov
date 日付September 29, 2010 19:26:38 UTC 2010 年 9 月 30 日 (木) 4 時 26 分 38 秒 (日本時間)
composite number 合成数
1930964826243960563286858139408231522365191593709192954126161074894916195452835861395153514562135447136705902506167313260725652982171849189<139>
prime factors 素因数
324198372978390861615533986746814549256223732688292455487689<60>
5956121273849413217530650906302493037394042878726140355390582334433240125053501<79>
factorization results 素因数分解の結果
Number: 152
N=1930964826243960563286858139408231522365191593709192954126161074894916195452835861395153514562135447136705902506167313260725652982171849189
  ( 139 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=324198372978390861615533986746814549256223732688292455487689 (pp60)
 r2=5956121273849413217530650906302493037394042878726140355390582334433240125053501 (pp79)
Version: Msieve-1.40
Total time: 19.21 hours.
Scaled time: 35.44 units (timescale=1.845).
Factorization parameters were as follows:
n: 1930964826243960563286858139408231522365191593709192954126161074894916195452835861395153514562135447136705902506167313260725652982171849189
m: 1000000000000000000000000000000
deg: 5
c5: 8600
c0: -41
skew: 0.34
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 2500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 551203 x 551429
Total sieving time: 18.70 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.38 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,153.000,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 19.21 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--
351e6118 / 904Makoto KamadaSeptember 28, 2010 12:00:00 UTC 2010 年 9 月 28 日 (火) 21 時 0 分 0 秒 (日本時間)

86×10153-419

c122

name 名前Dmitry Domanov
date 日付September 30, 2010 05:12:36 UTC 2010 年 9 月 30 日 (木) 14 時 12 分 36 秒 (日本時間)
composite number 合成数
26664791703924932181021873482993996526993152779395421896627349684744803263735216454686023560168691993045110213308719308139<122>
prime factors 素因数
90968218591026735275860802929558699652769277419089<50>
293122060835378324418270597032892685212624334535507554282284548755891451<72>
factorization results 素因数分解の結果
Number: 153
N=26664791703924932181021873482993996526993152779395421896627349684744803263735216454686023560168691993045110213308719308139
  ( 122 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=90968218591026735275860802929558699652769277419089 (pp50)
 r2=293122060835378324418270597032892685212624334535507554282284548755891451 (pp72)
Version: Msieve-1.40
Total time: 21.22 hours.
Scaled time: 39.60 units (timescale=1.866).
Factorization parameters were as follows:
n: 26664791703924932181021873482993996526993152779395421896627349684744803263735216454686023560168691993045110213308719308139
m: 1000000000000000000000000000000
deg: 5
c5: 86000
c0: -41
skew: 0.22
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2700000/2700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1350000, 2650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 517078 x 517304
Total sieving time: 20.69 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.33 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,154.000,5,0,0,0,0,0,0,0,0,2700000,2700000,27,27,50,50,2.4,2.4,100000
total time: 21.22 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--
351e6118 / 904Makoto KamadaSeptember 28, 2010 12:00:00 UTC 2010 年 9 月 28 日 (火) 21 時 0 分 0 秒 (日本時間)

86×10155-419

c125

name 名前Dmitry Domanov
date 日付September 30, 2010 05:13:47 UTC 2010 年 9 月 30 日 (木) 14 時 13 分 47 秒 (日本時間)
composite number 合成数
17713294173869386749638084070590442843742464856867645299402742395182542782084199695207063231504898687021761031181462426472631<125>
prime factors 素因数
2908803703200465597433856781590233<34>
1149326625890054518996906717210801643<37>
5298359872519603794773500553545376302121712238816925549<55>
factorization results 素因数分解の結果
Number: 155
N=17713294173869386749638084070590442843742464856867645299402742395182542782084199695207063231504898687021761031181462426472631
  ( 125 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=2908803703200465597433856781590233 (pp34)
 r2=1149326625890054518996906717210801643 (pp37)
 r3=5298359872519603794773500553545376302121712238816925549 (pp55)
Version: Msieve-1.40
Total time: 20.45 hours.
Scaled time: 38.95 units (timescale=1.905).
Factorization parameters were as follows:
n: 17713294173869386749638084070590442843742464856867645299402742395182542782084199695207063231504898687021761031181462426472631
m: 10000000000000000000000000000000
deg: 5
c5: 86
c0: -41
skew: 0.86
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1450000, 2650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 463532 x 463757
Total sieving time: 19.98 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.26 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,156.000,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 20.45 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--
351e6118 / 904Makoto KamadaSeptember 28, 2010 12:00:00 UTC 2010 年 9 月 28 日 (火) 21 時 0 分 0 秒 (日本時間)

86×10156-419

c151

name 名前Dmitry Domanov
date 日付October 1, 2010 15:14:01 UTC 2010 年 10 月 2 日 (土) 0 時 14 分 1 秒 (日本時間)
composite number 合成数
2021171584329894309882596018165068096208425469967634697396183402895713727273306276426377802703993851502032487795002625055350136366801655076305220317221<151>
prime factors 素因数
1659116777822057883529340163498708082964042004962536919<55>
1218221412348749815563500365650260812327045849237304893449531300334382660246529349534657995881059<97>
factorization results 素因数分解の結果
Number: wq14
N=2021171584329894309882596018165068096208425469967634697396183402895713727273306276426377802703993851502032487795002625055350136366801655076305220317221
  ( 151 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=1659116777822057883529340163498708082964042004962536919 (pp55)
 r2=1218221412348749815563500365650260812327045849237304893449531300334382660246529349534657995881059 (pp97)
Version: Msieve-1.40
Total time: 25.86 hours.
Scaled time: 48.97 units (timescale=1.894).
Factorization parameters were as follows:
n: 2021171584329894309882596018165068096208425469967634697396183402895713727273306276426377802703993851502032487795002625055350136366801655076305220317221
m: 10000000000000000000000000000000
deg: 5
c5: 860
c0: -41
skew: 0.54
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor 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, 3100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 643634 x 643859
Total sieving time: 25.20 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.52 hours.
Time per square root: 0.07 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: 25.86 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
351e6418118Makoto KamadaSeptember 28, 2010 12:00:00 UTC 2010 年 9 月 28 日 (火) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 28, 2010 20:18:24 UTC 2010 年 9 月 29 日 (水) 5 時 18 分 24 秒 (日本時間)
403e6110 / 1171Ignacio SantosSeptember 28, 2010 20:18:24 UTC 2010 年 9 月 29 日 (水) 5 時 18 分 24 秒 (日本時間)
4511e632 / 4086Ignacio SantosSeptember 28, 2010 20:18:24 UTC 2010 年 9 月 29 日 (水) 5 時 18 分 24 秒 (日本時間)
5043e6100 / 754040Lionel DebrouxSeptember 29, 2010 10:12:30 UTC 2010 年 9 月 29 日 (水) 19 時 12 分 30 秒 (日本時間)
60Lionel DebrouxSeptember 29, 2010 14:56:08 UTC 2010 年 9 月 29 日 (水) 23 時 56 分 8 秒 (日本時間)

86×10157-419

c123

name 名前Dmitry Domanov
date 日付October 3, 2010 11:40:25 UTC 2010 年 10 月 3 日 (日) 20 時 40 分 25 秒 (日本時間)
composite number 合成数
777510099936642920973026224262230872871766382359294814414258217628680480839797903649426965917491726429137766165773479719601<123>
prime factors 素因数
4077893448110980535573816748822627087007<40>
190664643358156438210630573682590644851709179976770440026188595971078527013112096943<84>
factorization results 素因数分解の結果
Number: wq15
N=777510099936642920973026224262230872871766382359294814414258217628680480839797903649426965917491726429137766165773479719601
  ( 123 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=4077893448110980535573816748822627087007 (pp40)
 r2=190664643358156438210630573682590644851709179976770440026188595971078527013112096943 (pp84)
Version: Msieve-1.40
Total time: 27.35 hours.
Scaled time: 53.22 units (timescale=1.946).
Factorization parameters were as follows:
n: 777510099936642920973026224262230872871766382359294814414258217628680480839797903649426965917491726429137766165773479719601
m: 10000000000000000000000000000000
deg: 5
c5: 8600
c0: -41
skew: 0.34
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1550000, 3250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 612513 x 612738
Total sieving time: 26.68 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.46 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,158.000,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 27.35 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
351e6418118Makoto KamadaSeptember 28, 2010 12:00:00 UTC 2010 年 9 月 28 日 (火) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 28, 2010 23:01:54 UTC 2010 年 9 月 29 日 (水) 8 時 1 分 54 秒 (日本時間)
403e6110 / 2126Ignacio SantosSeptember 28, 2010 23:01:54 UTC 2010 年 9 月 29 日 (水) 8 時 1 分 54 秒 (日本時間)
4511e632 / 4437Ignacio SantosSeptember 28, 2010 23:01:54 UTC 2010 年 9 月 29 日 (水) 8 時 1 分 54 秒 (日本時間)

86×10159-419

c137

name 名前Dmitry Domanov
date 日付October 4, 2010 15:10:16 UTC 2010 年 10 月 5 日 (火) 0 時 10 分 16 秒 (日本時間)
composite number 合成数
24771772789117621678297866938834164344204559675381754528183268390455455646406091516096645359946882539083185997303596515029007872633873243<137>
prime factors 素因数
61156280227328940691240909894273808549273848019761<50>
405056891901150094850813956944432693831854470445513610581243490201590326922876770700363<87>
factorization results 素因数分解の結果
Sieving took ~30hours. Postprocessing log below.
---
Mon Oct 04 17:08:38 2010  Msieve v. 1.42
Mon Oct 04 17:08:38 2010  random seeds: db4be578 9791f310
Mon Oct 04 17:08:38 2010  factoring 24771772789117621678297866938834164344204559675381754528183268390455455646406091516096645359946882539083185997303596515029007872633873243 (137 digits)
Mon Oct 04 17:08:40 2010  searching for 15-digit factors
Mon Oct 04 17:08:41 2010  commencing number field sieve (137-digit input)
Mon Oct 04 17:08:42 2010  R0: -20000000000000000000000000000000
Mon Oct 04 17:08:42 2010  R1:  1
Mon Oct 04 17:08:42 2010  A0: -41
Mon Oct 04 17:08:42 2010  A1:  0
Mon Oct 04 17:08:42 2010  A2:  0
Mon Oct 04 17:08:42 2010  A3:  0
Mon Oct 04 17:08:42 2010  A4:  0
Mon Oct 04 17:08:42 2010  A5:  26875
Mon Oct 04 17:08:42 2010  skew 0.27, size 1.940213e-011, alpha -0.744348, combined = 4.902645e-010
Mon Oct 04 17:08:43 2010  
Mon Oct 04 17:08:43 2010  commencing relation filtering
Mon Oct 04 17:08:43 2010  estimated available RAM is 4096.0 MB
Mon Oct 04 17:08:43 2010  commencing duplicate removal, pass 1
Mon Oct 04 17:10:03 2010  found 1136568 hash collisions in 9565483 relations
Mon Oct 04 17:10:22 2010  added 2690 free relations
Mon Oct 04 17:10:22 2010  commencing duplicate removal, pass 2
Mon Oct 04 17:10:39 2010  found 691478 duplicates and 8876694 unique relations
Mon Oct 04 17:10:39 2010  memory use: 41.3 MB
Mon Oct 04 17:10:39 2010  reading ideals above 100000
Mon Oct 04 17:10:39 2010  commencing singleton removal, initial pass
Mon Oct 04 17:12:23 2010  memory use: 149.2 MB
Mon Oct 04 17:12:23 2010  reading all ideals from disk
Mon Oct 04 17:12:23 2010  memory use: 311.2 MB
Mon Oct 04 17:12:25 2010  keeping 9927513 ideals with weight <= 200, target excess is 46252
Mon Oct 04 17:12:27 2010  commencing in-memory singleton removal
Mon Oct 04 17:12:28 2010  begin with 8876694 relations and 9927513 unique ideals
Mon Oct 04 17:12:41 2010  reduce to 3397518 relations and 3156630 ideals in 16 passes
Mon Oct 04 17:12:41 2010  max relations containing the same ideal: 104
Mon Oct 04 17:12:44 2010  removing 646959 relations and 553341 ideals in 93618 cliques
Mon Oct 04 17:12:44 2010  commencing in-memory singleton removal
Mon Oct 04 17:12:45 2010  begin with 2750559 relations and 3156630 unique ideals
Mon Oct 04 17:12:50 2010  reduce to 2662160 relations and 2511818 ideals in 11 passes
Mon Oct 04 17:12:50 2010  max relations containing the same ideal: 88
Mon Oct 04 17:12:52 2010  removing 490079 relations and 396461 ideals in 93618 cliques
Mon Oct 04 17:12:52 2010  commencing in-memory singleton removal
Mon Oct 04 17:12:52 2010  begin with 2172081 relations and 2511818 unique ideals
Mon Oct 04 17:12:56 2010  reduce to 2102540 relations and 2043481 ideals in 10 passes
Mon Oct 04 17:12:56 2010  max relations containing the same ideal: 75
Mon Oct 04 17:12:58 2010  relations with 0 large ideals: 1109
Mon Oct 04 17:12:58 2010  relations with 1 large ideals: 333
Mon Oct 04 17:12:58 2010  relations with 2 large ideals: 5552
Mon Oct 04 17:12:58 2010  relations with 3 large ideals: 44070
Mon Oct 04 17:12:58 2010  relations with 4 large ideals: 183031
Mon Oct 04 17:12:58 2010  relations with 5 large ideals: 435736
Mon Oct 04 17:12:58 2010  relations with 6 large ideals: 629771
Mon Oct 04 17:12:58 2010  relations with 7+ large ideals: 802938
Mon Oct 04 17:12:58 2010  commencing 2-way merge
Mon Oct 04 17:13:01 2010  reduce to 1250057 relation sets and 1190998 unique ideals
Mon Oct 04 17:13:01 2010  commencing full merge
Mon Oct 04 17:13:36 2010  memory use: 124.3 MB
Mon Oct 04 17:13:36 2010  found 613970 cycles, need 603198
Mon Oct 04 17:13:36 2010  weight of 603198 cycles is about 42515946 (70.48/cycle)
Mon Oct 04 17:13:36 2010  distribution of cycle lengths:
Mon Oct 04 17:13:36 2010  1 relations: 69852
Mon Oct 04 17:13:36 2010  2 relations: 64547
Mon Oct 04 17:13:36 2010  3 relations: 65188
Mon Oct 04 17:13:36 2010  4 relations: 60742
Mon Oct 04 17:13:36 2010  5 relations: 56536
Mon Oct 04 17:13:36 2010  6 relations: 50157
Mon Oct 04 17:13:36 2010  7 relations: 43273
Mon Oct 04 17:13:36 2010  8 relations: 38234
Mon Oct 04 17:13:36 2010  9 relations: 31857
Mon Oct 04 17:13:36 2010  10+ relations: 122812
Mon Oct 04 17:13:36 2010  heaviest cycle: 22 relations
Mon Oct 04 17:13:37 2010  commencing cycle optimization
Mon Oct 04 17:13:38 2010  start with 3692152 relations
Mon Oct 04 17:13:48 2010  pruned 85579 relations
Mon Oct 04 17:13:48 2010  memory use: 96.6 MB
Mon Oct 04 17:13:48 2010  distribution of cycle lengths:
Mon Oct 04 17:13:48 2010  1 relations: 69852
Mon Oct 04 17:13:48 2010  2 relations: 65829
Mon Oct 04 17:13:48 2010  3 relations: 67242
Mon Oct 04 17:13:48 2010  4 relations: 62242
Mon Oct 04 17:13:48 2010  5 relations: 57835
Mon Oct 04 17:13:48 2010  6 relations: 50811
Mon Oct 04 17:13:48 2010  7 relations: 43948
Mon Oct 04 17:13:48 2010  8 relations: 38487
Mon Oct 04 17:13:48 2010  9 relations: 31776
Mon Oct 04 17:13:48 2010  10+ relations: 115176
Mon Oct 04 17:13:48 2010  heaviest cycle: 22 relations
Mon Oct 04 17:13:50 2010  RelProcTime: 307
Mon Oct 04 17:13:50 2010  
Mon Oct 04 17:13:50 2010  commencing linear algebra
Mon Oct 04 17:13:50 2010  read 603198 cycles
Mon Oct 04 17:13:52 2010  cycles contain 2015753 unique relations
Mon Oct 04 17:15:04 2010  read 2015753 relations
Mon Oct 04 17:15:08 2010  using 20 quadratic characters above 134213324
Mon Oct 04 17:15:18 2010  building initial matrix
Mon Oct 04 17:15:42 2010  memory use: 213.6 MB
Mon Oct 04 17:15:43 2010  read 603198 cycles
Mon Oct 04 17:16:19 2010  matrix is 603013 x 603198 (172.1 MB) with weight 54367900 (90.13/col)
Mon Oct 04 17:16:19 2010  sparse part has weight 40879540 (67.77/col)
Mon Oct 04 17:16:28 2010  filtering completed in 2 passes
Mon Oct 04 17:16:28 2010  matrix is 601802 x 601987 (171.9 MB) with weight 54319404 (90.23/col)
Mon Oct 04 17:16:28 2010  sparse part has weight 40858619 (67.87/col)
Mon Oct 04 17:16:30 2010  read 601987 cycles
Mon Oct 04 17:18:03 2010  matrix is 601802 x 601987 (171.9 MB) with weight 54319404 (90.23/col)
Mon Oct 04 17:18:03 2010  sparse part has weight 40858619 (67.87/col)
Mon Oct 04 17:18:04 2010  saving the first 48 matrix rows for later
Mon Oct 04 17:18:04 2010  matrix is 601754 x 601987 (163.2 MB) with weight 43344135 (72.00/col)
Mon Oct 04 17:18:04 2010  sparse part has weight 39161563 (65.05/col)
Mon Oct 04 17:18:04 2010  matrix includes 64 packed rows
Mon Oct 04 17:18:04 2010  using block size 65536 for processor cache size 6144 kB
Mon Oct 04 17:18:08 2010  commencing Lanczos iteration (6 threads)
Mon Oct 04 17:18:08 2010  memory use: 190.0 MB
Mon Oct 04 17:46:51 2010  lanczos halted after 9518 iterations (dim = 601750)
Mon Oct 04 17:46:53 2010  recovered 35 nontrivial dependencies
Mon Oct 04 17:46:54 2010  BLanczosTime: 1984
Mon Oct 04 17:46:54 2010  
Mon Oct 04 17:46:54 2010  commencing square root phase
Mon Oct 04 17:46:54 2010  reading relations for dependency 1
Mon Oct 04 17:46:54 2010  read 301477 cycles
Mon Oct 04 17:46:54 2010  cycles contain 1244844 unique relations
Mon Oct 04 17:47:36 2010  read 1244844 relations
Mon Oct 04 17:47:43 2010  multiplying 1008646 relations
Mon Oct 04 17:49:11 2010  multiply complete, coefficients have about 35.52 million bits
Mon Oct 04 17:49:12 2010  initial square root is modulo 126031
Mon Oct 04 17:51:46 2010  reading relations for dependency 2
Mon Oct 04 17:51:46 2010  read 300820 cycles
Mon Oct 04 17:51:47 2010  cycles contain 1242369 unique relations
Mon Oct 04 17:52:42 2010  read 1242369 relations
Mon Oct 04 17:52:49 2010  multiplying 1006954 relations
Mon Oct 04 17:54:17 2010  multiply complete, coefficients have about 35.46 million bits
Mon Oct 04 17:54:17 2010  initial square root is modulo 123581
Mon Oct 04 17:56:52 2010  sqrtTime: 598
Mon Oct 04 17:56:52 2010  prp50 factor: 61156280227328940691240909894273808549273848019761
Mon Oct 04 17:56:52 2010  prp87 factor: 405056891901150094850813956944432693831854470445513610581243490201590326922876770700363
Mon Oct 04 17:56:52 2010  elapsed time 00:48:14

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 28, 2010 12:00:00 UTC 2010 年 9 月 28 日 (火) 21 時 0 分 0 秒 (日本時間)
403e6410 / 2208300Rich DickersonSeptember 29, 2010 05:00:20 UTC 2010 年 9 月 29 日 (水) 14 時 0 分 20 秒 (日本時間)
110Ignacio SantosSeptember 29, 2010 05:35:36 UTC 2010 年 9 月 29 日 (水) 14 時 35 分 36 秒 (日本時間)
4511e632 / 4384Ignacio SantosSeptember 29, 2010 05:35:36 UTC 2010 年 9 月 29 日 (水) 14 時 35 分 36 秒 (日本時間)

86×10160-419

c113

name 名前Ignacio Santos
date 日付September 28, 2010 17:05:46 UTC 2010 年 9 月 29 日 (水) 2 時 5 分 46 秒 (日本時間)
composite number 合成数
85094873463268752144990123427430494356970581404892482493808731152615346064099194900046540168054929675681160786277<113>
prime factors 素因数
386423699807451908883682239121<30>
220211321162935973329575367259167085007166420953263220610519008682652130899000402837<84>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3483978948
Step 1 took 13369ms
********** Factor found in step 1: 386423699807451908883682239121
Found probable prime factor of 30 digits: 386423699807451908883682239121
Probable prime cofactor 220211321162935973329575367259167085007166420953263220610519008682652130899000402837 has 84 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--
351e6118 / 904Makoto KamadaSeptember 28, 2010 12:00:00 UTC 2010 年 9 月 28 日 (火) 21 時 0 分 0 秒 (日本時間)

86×10164-419

c153

name 名前Dmitry Domanov
date 日付September 30, 2010 11:19:25 UTC 2010 年 9 月 30 日 (木) 20 時 19 分 25 秒 (日本時間)
composite number 合成数
442542595398118517873841999166866569329833972088376572708318435070381381786226277851934911854730827117665389450935028157454028675912134026261416235227091<153>
prime factors 素因数
18867419561677953870461645825884472654843070077802913579099<59>
23455385297996811140500183266644488476655620562082106410228174315103108826281302461202572664809<95>
factorization results 素因数分解の結果
Number: 163
N=442542595398118517873841999166866569329833972088376572708318435070381381786226277851934911854730827117665389450935028157454028675912134026261416235227091
  ( 153 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=18867419561677953870461645825884472654843070077802913579099 (pp59)
 r2=23455385297996811140500183266644488476655620562082106410228174315103108826281302461202572664809 (pp95)
Version: Msieve-1.40
Total time: 41.34 hours.
Scaled time: 78.76 units (timescale=1.905).
Factorization parameters were as follows:
n: 442542595398118517873841999166866569329833972088376572708318435070381381786226277851934911854730827117665389450935028157454028675912134026261416235227091
m: 200000000000000000000000000000000
deg: 5
c5: 26875
c0: -41
skew: 0.27
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2050000, 4350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 666789 x 667015
Total sieving time: 40.63 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.56 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,165.000,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 41.34 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
351e6418118Makoto KamadaSeptember 28, 2010 12:00:00 UTC 2010 年 9 月 28 日 (火) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 29, 2010 05:36:17 UTC 2010 年 9 月 29 日 (水) 14 時 36 分 17 秒 (日本時間)
403e6110 / 2126Ignacio SantosSeptember 29, 2010 05:36:17 UTC 2010 年 9 月 29 日 (水) 14 時 36 分 17 秒 (日本時間)
4511e632 / 4437Ignacio SantosSeptember 29, 2010 05:36:17 UTC 2010 年 9 月 29 日 (水) 14 時 36 分 17 秒 (日本時間)

86×10165-419

c164

name 名前Dmitry Domanov
date 日付October 4, 2010 16:32:20 UTC 2010 年 10 月 5 日 (火) 1 時 32 分 20 秒 (日本時間)
composite number 合成数
17155395970476760422900458807101536006383403151805306203869938160781966886096150009974067424695790943546778376221823259525234390584480351087173349291841212846598843<164>
prime factors 素因数
27185165471848135418014588913364897683<38>
631057257615084185629084753661023107997391354001278630778851112129899553245857145644020623522931817187913802388801870540382521<126>
factorization results 素因数分解の結果
Number: 165
N=17155395970476760422900458807101536006383403151805306203869938160781966886096150009974067424695790943546778376221823259525234390584480351087173349291841212846598843
  ( 164 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=27185165471848135418014588913364897683 (pp38)
 r2=631057257615084185629084753661023107997391354001278630778851112129899553245857145644020623522931817187913802388801870540382521 (pp126)
Version: Msieve-1.40
Total time: 45.70 hours.
Scaled time: 88.39 units (timescale=1.934).
Factorization parameters were as follows:
n: 17155395970476760422900458807101536006383403151805306203869938160781966886096150009974067424695790943546778376221823259525234390584480351087173349291841212846598843
m: 1000000000000000000000000000000000
deg: 5
c5: 86
c0: -41
skew: 0.86
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2100000, 4500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 752674 x 752903
Total sieving time: 44.72 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.74 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,166.000,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 45.70 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
351e6418118Makoto KamadaSeptember 28, 2010 12:00:00 UTC 2010 年 9 月 28 日 (火) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 28, 2010 21:47:43 UTC 2010 年 9 月 29 日 (水) 6 時 47 分 43 秒 (日本時間)
403e6110 / 2126Ignacio SantosSeptember 28, 2010 21:47:43 UTC 2010 年 9 月 29 日 (水) 6 時 47 分 43 秒 (日本時間)
4511e632 / 4437Ignacio SantosSeptember 28, 2010 21:47:43 UTC 2010 年 9 月 29 日 (水) 6 時 47 分 43 秒 (日本時間)

86×10167-419

c168

name 名前Sinkiti Sibata
date 日付October 4, 2010 06:01:55 UTC 2010 年 10 月 4 日 (月) 15 時 1 分 55 秒 (日本時間)
composite number 合成数
318518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518517<168>
prime factors 素因数
12360858049362151649153784468167506015671020506149934713580830343<65>
25768317801769012106118155828558252555434979827864805992458326523681316708672023023530396941029613594019<104>
factorization results 素因数分解の結果
Number: 95551_167
N=318518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518517
  ( 168 digits)
SNFS difficulty: 168 digits.
Divisors found:
 r1=12360858049362151649153784468167506015671020506149934713580830343 (pp65)
 r2=25768317801769012106118155828558252555434979827864805992458326523681316708672023023530396941029613594019 (pp104)
Version: Msieve v. 1.42
Total time: 4.01 hours.
Scaled time: 3.42 units (timescale=0.853).
Factorization parameters were as follows:
name: 95551_167
n: 318518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518517
m: 1000000000000000000000000000000000
deg: 5
c5: 8600
c0: -41
skew: 0.34
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2300000, 6000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1013954 x 1014187
Total sieving time: 0.00 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 3.75 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,168.000,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
total time: 4.01 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
Memory: 3886124k/4718592k available (3786k kernel code, 656964k absent, 175504k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5827.34 BogoMIPS (lpj=2913672)
Calibrating delay using timer specific routine.. 5826.53 BogoMIPS (lpj=2913269)
Total of 2 processors activated (11653.88 BogoMIPS).

Total time: 44 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 28, 2010 12:00:00 UTC 2010 年 9 月 28 日 (火) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 29, 2010 05:36:51 UTC 2010 年 9 月 29 日 (水) 14 時 36 分 51 秒 (日本時間)
403e6110 / 2126Ignacio SantosSeptember 29, 2010 05:36:51 UTC 2010 年 9 月 29 日 (水) 14 時 36 分 51 秒 (日本時間)
4511e632 / 4437Ignacio SantosSeptember 29, 2010 05:36:51 UTC 2010 年 9 月 29 日 (水) 14 時 36 分 51 秒 (日本時間)

86×10168-419

c108

name 名前Markus Tervooren
date 日付September 30, 2010 03:37:11 UTC 2010 年 9 月 30 日 (木) 12 時 37 分 11 秒 (日本時間)
composite number 合成数
872779106988739962757888080350066293018539295384053145235349013093104321993974415598916046396639682265020937<108>
prime factors 素因数
1623627455164578725135982515041579763199451<43>
537548871948750617003010207717503974493197506076473919014063703787<66>
factorization results 素因数分解の結果
Msieve v. 1.46
Thu Sep 30 04:53:00 2010
random seeds: af296e21 fbe52d7f
factoring 872779106988739962757888080350066293018539295384053145235349013093104321993974415598916046396639682265020937 (108 digits)
searching for 15-digit factors
commencing number field sieve (108-digit input)
R0: -1708225243020163513477
R1:  105313739551
A0:  11876278869271286769049279200
A1:  441625975655862176712312
A2: -3810554723660970862
A3: -53165198879897
A4:  61439012
A5:  60
skew 249319.21, size 2.755e-10, alpha -6.778, combined = 1.298e-09 rroots = 5

commencing relation filtering
estimated available RAM is 8010.2 MB
commencing duplicate removal, pass 1
error -9 reading relation 311619
error -15 reading relation 5460346
error -9 reading relation 6488157
error -15 reading relation 8099214
error -6 reading relation 8357919
read 10M relations
error -15 reading relation 15498308
error -15 reading relation 16162215
error -9 reading relation 16999334
error -1 reading relation 17561814
error -15 reading relation 17797901
error -9 reading relation 19075565
error -15 reading relation 19660616
read 20M relations
error -15 reading relation 22252399
error -15 reading relation 23061342
error -15 reading relation 23674421
error -11 reading relation 24764377
found 4024159 hash collisions in 26660981 relations
added 118297 free relations
commencing duplicate removal, pass 2
found 4487117 duplicates and 22292161 unique relations
memory use: 106.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 376.5 MB
reading all ideals from disk
memory use: 580.3 MB
keeping 18469230 ideals with weight <= 200, target excess is 213583
commencing in-memory singleton removal
begin with 22292161 relations and 18469230 unique ideals
reduce to 13084019 relations and 8137401 ideals in 10 passes
max relations containing the same ideal: 143
removing 3053998 relations and 2053998 ideals in 1000000 cliques
commencing in-memory singleton removal
begin with 10030021 relations and 8137401 unique ideals
reduce to 9754348 relations and 5784719 ideals in 7 passes
max relations containing the same ideal: 117
removing 2313296 relations and 1313296 ideals in 1000000 cliques
commencing in-memory singleton removal
begin with 7441052 relations and 5784719 unique ideals
reduce to 7213252 relations and 4218541 ideals in 7 passes
max relations containing the same ideal: 92
removing 2134818 relations and 1134818 ideals in 1000000 cliques
commencing in-memory singleton removal
begin with 5078434 relations and 4218541 unique ideals
reduce to 4919266 relations and 2908915 ideals in 6 passes
max relations containing the same ideal: 69
removing 1527674 relations and 810112 ideals in 717562 cliques
commencing in-memory singleton removal
begin with 3391592 relations and 2908915 unique ideals
reduce to 3308618 relations and 2010082 ideals in 5 passes
max relations containing the same ideal: 53
removing 680317 relations and 369740 ideals in 310577 cliques
commencing in-memory singleton removal
begin with 2628301 relations and 2010082 unique ideals
reduce to 2575181 relations and 1584054 ideals in 5 passes
max relations containing the same ideal: 44
removing 505096 relations and 273564 ideals in 231532 cliques
commencing in-memory singleton removal
begin with 2070085 relations and 1584054 unique ideals
reduce to 2030249 relations and 1268368 ideals in 5 passes
max relations containing the same ideal: 38
removing 399732 relations and 216789 ideals in 182943 cliques
commencing in-memory singleton removal
begin with 1630517 relations and 1268368 unique ideals
reduce to 1596316 relations and 1015443 ideals in 6 passes
max relations containing the same ideal: 33
removing 330540 relations and 180051 ideals in 150489 cliques
commencing in-memory singleton removal
begin with 1265776 relations and 1015443 unique ideals
reduce to 1234560 relations and 802396 ideals in 6 passes
max relations containing the same ideal: 29
removing 278875 relations and 153368 ideals in 125507 cliques
commencing in-memory singleton removal
begin with 955685 relations and 802396 unique ideals
reduce to 924606 relations and 615825 ideals in 6 passes
max relations containing the same ideal: 23
removing 150138 relations and 89114 ideals in 61024 cliques
commencing in-memory singleton removal
begin with 774468 relations and 615825 unique ideals
reduce to 752178 relations and 503004 ideals in 6 passes
max relations containing the same ideal: 21
relations with 0 large ideals: 26460
relations with 1 large ideals: 118817
relations with 2 large ideals: 220889
relations with 3 large ideals: 219183
relations with 4 large ideals: 122122
relations with 5 large ideals: 37869
relations with 6 large ideals: 6383
relations with 7+ large ideals: 455
commencing 2-way merge
reduce to 614914 relation sets and 365740 unique ideals
commencing full merge
memory use: 31.6 MB
found 291054 cycles, need 257940
weight of 257940 cycles is about 18061563 (70.02/cycle)
distribution of cycle lengths:
1 relations: 30641
2 relations: 23779
3 relations: 24440
4 relations: 23794
5 relations: 23571
6 relations: 22061
7 relations: 20605
8 relations: 18303
9 relations: 16094
10+ relations: 54652
heaviest cycle: 17 relations
commencing cycle optimization
start with 1577523 relations
pruned 125456 relations
memory use: 43.1 MB
distribution of cycle lengths:
1 relations: 30641
2 relations: 25417
3 relations: 27078
4 relations: 26618
5 relations: 26830
6 relations: 24524
7 relations: 22235
8 relations: 19199
9 relations: 16240
10+ relations: 39158
heaviest cycle: 17 relations
RelProcTime: 959

commencing linear algebra
read 257940 cycles
cycles contain 657041 unique relations
read 657041 relations
using 20 quadratic characters above 268277102
building initial matrix
memory use: 86.0 MB
read 257940 cycles
matrix is 257709 x 257940 (72.2 MB) with weight 23146808 (89.74/col)
sparse part has weight 16102349 (62.43/col)
filtering completed in 2 passes
matrix is 256802 x 257002 (72.1 MB) with weight 23092741 (89.85/col)
sparse part has weight 16071925 (62.54/col)
matrix starts at (0, 0)
matrix is 256802 x 257002 (72.1 MB) with weight 23092741 (89.85/col)
sparse part has weight 16071925 (62.54/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 256754 x 257002 (69.4 MB) with weight 18096892 (70.42/col)
sparse part has weight 15614102 (60.75/col)
using block size 65536 for processor cache size 4096 kB
commencing Lanczos iteration
memory use: 52.1 MB
linear algebra at 4.7%, ETA 0h 8m 257002 dimensions (4.7%, ETA 0h 8m)
linear algebra completed 254966 of 257002 dimensions (99.2%, ETA 0h 0m)
lanczos halted after 4062 iterations (dim = 256751)
recovered 28 nontrivial dependencies
BLanczosTime: 812

commencing square root phase
reading relations for dependency 1
read 128736 cycles
cycles contain 328738 unique relations
read 328738 relations
multiplying 328738 relations
multiply complete, coefficients have about 12.02 million bits
initial square root is modulo 8076641
sqrtTime: 123
prp43 factor: 1623627455164578725135982515041579763199451
prp66 factor: 537548871948750617003010207717503974493197506076473919014063703787
elapsed time 00:31:35
software ソフトウェア
gnfs-lasieve4I12e, msieve 1.47
execution environment 実行環境
Linux 2.6.30, C2Q 6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 28, 2010 12:00:00 UTC 2010 年 9 月 28 日 (火) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 28, 2010 17:06:27 UTC 2010 年 9 月 29 日 (水) 2 時 6 分 27 秒 (日本時間)
403e6110 / 2126Ignacio SantosSeptember 28, 2010 17:06:27 UTC 2010 年 9 月 29 日 (水) 2 時 6 分 27 秒 (日本時間)
4511e632 / 4437Ignacio SantosSeptember 28, 2010 17:06:27 UTC 2010 年 9 月 29 日 (水) 2 時 6 分 27 秒 (日本時間)

86×10169-419

c138

name 名前Sinkiti Sibata
date 日付March 29, 2011 06:10:17 UTC 2011 年 3 月 29 日 (火) 15 時 10 分 17 秒 (日本時間)
composite number 合成数
170006081672299658271564995745743947014565278977862457163881131136043089423787555162835019643030239295491368485034031828251444616667140249<138>
prime factors 素因数
45518118754151807477813357233221512970234345407435345012640481073<65>
3734910104490929352627933197083297959566976518876734571341863962349723113<73>
factorization results 素因数分解の結果
Number: 95551_169
N=170006081672299658271564995745743947014565278977862457163881131136043089423787555162835019643030239295491368485034031828251444616667140249
  ( 138 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=45518118754151807477813357233221512970234345407435345012640481073 (pp65)
 r2=3734910104490929352627933197083297959566976518876734571341863962349723113 (pp73)
Version: Msieve-1.40
Total time: 79.52 hours.
Scaled time: 161.35 units (timescale=2.029).
Factorization parameters were as follows:
name: 95551_169
n: 170006081672299658271564995745743947014565278977862457163881131136043089423787555162835019643030239295491368485034031828251444616667140249
m: 2000000000000000000000000000000000
deg: 5
c5: 26875
c0: -41
skew: 0.27
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, 5350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 904989 x 905237
Total sieving time: 73.93 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 4.73 hours.
Time per square root: 0.70 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: 79.52 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
351e6418118Makoto KamadaSeptember 28, 2010 12:00:00 UTC 2010 年 9 月 28 日 (火) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 29, 2010 05:37:20 UTC 2010 年 9 月 29 日 (水) 14 時 37 分 20 秒 (日本時間)
403e6860110Ignacio SantosSeptember 29, 2010 05:37:20 UTC 2010 年 9 月 29 日 (水) 14 時 37 分 20 秒 (日本時間)
750Ignacio SantosNovember 28, 2010 10:33:46 UTC 2010 年 11 月 28 日 (日) 19 時 33 分 46 秒 (日本時間)
4511e6246 / 260632Ignacio SantosSeptember 29, 2010 05:37:20 UTC 2010 年 9 月 29 日 (水) 14 時 37 分 20 秒 (日本時間)
214Ignacio SantosNovember 28, 2010 10:33:46 UTC 2010 年 11 月 28 日 (日) 19 時 33 分 46 秒 (日本時間)
5043e658 / 6981Ignacio SantosNovember 28, 2010 10:33:46 UTC 2010 年 11 月 28 日 (日) 19 時 33 分 46 秒 (日本時間)
5511e7200 / 17726Rich DickersonJanuary 15, 2011 17:30:19 UTC 2011 年 1 月 16 日 (日) 2 時 30 分 19 秒 (日本時間)

86×10170-419

c169

name 名前Ignacio Santos
date 日付September 30, 2010 05:34:25 UTC 2010 年 9 月 30 日 (木) 14 時 34 分 25 秒 (日本時間)
composite number 合成数
1740538352560210483707751467314308844363489172232341631248735073871685893543817041084800647642177696822505565674964582068407205019226877150374418133980975511030155838899<169>
prime factors 素因数
92820734032363644757319870811870972489950823624101775606724169623<65>
18751611595242717940714366463262605438660977173425714300709302369532734591413934409081218251892363820613<104>
factorization results 素因数分解の結果
Number: 3
N=1740538352560210483707751467314308844363489172232341631248735073871685893543817041084800647642177696822505565674964582068407205019226877150374418133980975511030155838899
  ( 169 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=92820734032363644757319870811870972489950823624101775606724169623 (pp65)
 r2=18751611595242717940714366463262605438660977173425714300709302369532734591413934409081218251892363820613 (pp104)
Version: Msieve-1.40
Total time: 64.70 hours.
Scaled time: 112.51 units (timescale=1.739).
Factorization parameters were as follows:
n: 1740538352560210483707751467314308844363489172232341631248735073871685893543817041084800647642177696822505565674964582068407205019226877150374418133980975511030155838899
m: 10000000000000000000000000000000000
deg: 5
c5: 86
c0: -41
skew: 0.86
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2550000, 5950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 933461 x 933695
Total sieving time: 63.26 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.18 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,171.000,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 64.70 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
351e6418118Makoto KamadaSeptember 28, 2010 12:00:00 UTC 2010 年 9 月 28 日 (火) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 29, 2010 05:37:53 UTC 2010 年 9 月 29 日 (水) 14 時 37 分 53 秒 (日本時間)
403e6110 / 2126Ignacio SantosSeptember 29, 2010 05:37:53 UTC 2010 年 9 月 29 日 (水) 14 時 37 分 53 秒 (日本時間)
4511e632 / 4437Ignacio SantosSeptember 29, 2010 05:37:53 UTC 2010 年 9 月 29 日 (水) 14 時 37 分 53 秒 (日本時間)

86×10171-419

c170

name 名前Serge Batalov
date 日付September 29, 2010 01:00:48 UTC 2010 年 9 月 29 日 (水) 10 時 0 分 48 秒 (日本時間)
composite number 合成数
18340797611431008743868628705480912774578801450202601834079761143100874386862870548091277457880145020260183407976114310087438686287054809127745788014502026018340797611431<170>
prime factors 素因数
2194217453711584836193622974591760925370211<43>
8358696436584713971486797277886972853792022502752856864179543812953436112379598152022216828184827745408028778703082335983767021<127>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3498460785
Step 1 took 11461ms
Step 2 took 6089ms
********** Factor found in step 2: 2194217453711584836193622974591760925370211
Found probable prime factor of 43 digits: 2194217453711584836193622974591760925370211
Probable prime cofactor has 127 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 28, 2010 12:00:00 UTC 2010 年 9 月 28 日 (火) 21 時 0 分 0 秒 (日本時間)

86×10178-419

c172

name 名前Serge Batalov
date 日付September 28, 2010 23:12:09 UTC 2010 年 9 月 29 日 (水) 8 時 12 分 9 秒 (日本時間)
composite number 合成数
1435510708798885939531985751661524775805651466449386430424068408174510389820060451926513208936081537128442068620807030332907135211486439907953517689196718469924923107077533<172>
prime factors 素因数
5066836327007560891278164397023<31>
composite cofactor 合成数の残り
283314995028996488375634444016197799343046868624315495901581046081790391996885897879935737895147849572467156529825052860355549195372679034371<141>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=1845518240
Step 1 took 7569ms
Step 2 took 4252ms
********** Factor found in step 2: 5066836327007560891278164397023
Found probable prime factor of 31 digits: 5066836327007560891278164397023
Composite cofactor has 141 digits

c141

name 名前Ignacio Santos
date 日付October 27, 2010 21:26:41 UTC 2010 年 10 月 28 日 (木) 6 時 26 分 41 秒 (日本時間)
composite number 合成数
283314995028996488375634444016197799343046868624315495901581046081790391996885897879935737895147849572467156529825052860355549195372679034371<141>
prime factors 素因数
12357292704854359309835560199459<32>
22926947009817194806142431635063969718232033736383406526850004166157606644968219081006665384256214100950526369<110>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3114567728
Step 1 took 14804ms
Step 2 took 8440ms
********** Factor found in step 2: 12357292704854359309835560199459
Found probable prime factor of 32 digits: 12357292704854359309835560199459
Probable prime cofactor 22926947009817194806142431635063969718232033736383406526850004166157606644968219081006665384256214100950526369 has 110 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--
351e6118 / 904Makoto KamadaSeptember 28, 2010 12:00:00 UTC 2010 年 9 月 28 日 (火) 21 時 0 分 0 秒 (日本時間)

86×10182-419

c149

name 名前Dmitry Domanov
date 日付February 15, 2012 09:23:55 UTC 2012 年 2 月 15 日 (水) 18 時 23 分 55 秒 (日本時間)
composite number 合成数
76488118617852061169397508251390504294104683374927808902487628974044617232120558626199942278602012560896700506353887476892903783827911061173678595167<149>
prime factors 素因数
3181938966907078242227054801006048231725066991<46>
24038210479002482369367975970566367557255434818110405856214760565816663989271497430377365555890339931537<104>
factorization results 素因数分解の結果
N=76488118617852061169397508251390504294104683374927808902487628974044617232120558626199942278602012560896700506353887476892903783827911061173678595167
  ( 149 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=3181938966907078242227054801006048231725066991 (pp46)
 r2=24038210479002482369367975970566367557255434818110405856214760565816663989271497430377365555890339931537 (pp104)
Version: Msieve-1.40
Total time: 297.00 hours.
Scaled time: 579.45 units (timescale=1.951).
Factorization parameters were as follows:
n: 76488118617852061169397508251390504294104683374927808902487628974044617232120558626199942278602012560896700506353887476892903783827911061173678595167
m: 1000000000000000000000000000000000000
deg: 5
c5: 8600
c0: -41
skew: 0.34
type: snfs
lss: 1
rlim: 8100000
alim: 8100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 300000Factor 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, 8550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1598649 x 1598873
Total sieving time: 292.95 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 3.39 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: 297.00 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
351e6418118Makoto KamadaSeptember 28, 2010 12:00:00 UTC 2010 年 9 月 28 日 (火) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 27, 2010 22:25:22 UTC 2010 年 10 月 28 日 (木) 7 時 25 分 22 秒 (日本時間)
403e6110Ignacio SantosOctober 27, 2010 22:25:22 UTC 2010 年 10 月 28 日 (木) 7 時 25 分 22 秒 (日本時間)
4511e6632 / 443732Ignacio SantosOctober 27, 2010 22:25:22 UTC 2010 年 10 月 28 日 (木) 7 時 25 分 22 秒 (日本時間)
600Dmitry DomanovFebruary 10, 2012 13:40:57 UTC 2012 年 2 月 10 日 (金) 22 時 40 分 57 秒 (日本時間)

86×10183-419

c151

name 名前Serge Batalov
date 日付September 28, 2010 22:27:14 UTC 2010 年 9 月 29 日 (水) 7 時 27 分 14 秒 (日本時間)
composite number 合成数
9815532011403626151899639930117541202481864724889203969369219742292071098255099920411067729817631890199911293458776539436643419531181056733905487760529<151>
prime factors 素因数
55045823423750508752548091410623011<35>
178315654138594257953540190066482904725954553162882445983618027808732860349125782017847962895376685691568961467742139<117>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=4166507910
Step 1 took 6408ms
Step 2 took 3844ms
********** Factor found in step 2: 55045823423750508752548091410623011
Found probable prime factor of 35 digits: 55045823423750508752548091410623011
Probable prime cofactor has 117 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 28, 2010 12:00:00 UTC 2010 年 9 月 28 日 (火) 21 時 0 分 0 秒 (日本時間)

86×10184-419

c116

name 名前Ignacio Santos
date 日付September 28, 2010 17:26:58 UTC 2010 年 9 月 29 日 (水) 2 時 26 分 58 秒 (日本時間)
composite number 合成数
66837718668391324504773692757610273485622617530623654561783194983397366065589655457141636449968676579451393629644461<116>
prime factors 素因数
1451850035293994679326242563539<31>
composite cofactor 合成数の残り
46036241377269322780763578593371573610599739568188574849645194332372516931772466671999<86>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3415130518
Step 1 took 6255ms
Step 2 took 4041ms
********** Factor found in step 2: 1451850035293994679326242563539
Found probable prime factor of 31 digits: 1451850035293994679326242563539
Composite cofactor 46036241377269322780763578593371573610599739568188574849645194332372516931772466671999 has 86 digits
software ソフトウェア
GMP-ECM 6.3

c86

name 名前Lionel Debroux
date 日付September 29, 2010 15:41:41 UTC 2010 年 9 月 30 日 (木) 0 時 41 分 41 秒 (日本時間)
composite number 合成数
46036241377269322780763578593371573610599739568188574849645194332372516931772466671999<86>
prime factors 素因数
260962919155648059883380638895278806759271<42>
176409129412794405637169892869926011348131369<45>
factorization results 素因数分解の結果
yafu-64k-linux64


cached 664581 primes. pmax = 10000079
detected cpu 6, with L1 = 32768 bytes, L2 = 4194304 bytes

===============================================================
======= Welcome to YAFU (Yet Another Factoring Utility) =======
=======             bbuhrow@gmail.com                   =======
=======     Type help at any time, or quit to quit      =======
===============================================================

>> siqs(46036241377269322780763578593371573610599739568188574849645194332372516931772466671999)


starting SIQS on c86: 46036241377269322780763578593371573610599739568188574849645194332372516931772466671999

==== sieving in progress ( 2 threads):   57580 relations needed ====
====            Press ctrl-c to abort and save state            ====
57841 rels found: 20029 full + 37812 from 511880 partial, (515.87 rels/sec)

SIQS elapsed time = 1055.0958 seconds.


***factors found***

PRP42 = 260962919155648059883380638895278806759271
PRP45 = 176409129412794405637169892869926011348131369

ans = 1
software ソフトウェア
yafu 1.19.2
execution environment 実行環境
Core 2 Duo T7600, 3 GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 28, 2010 12:00:00 UTC 2010 年 9 月 28 日 (火) 21 時 0 分 0 秒 (日本時間)

86×10185-419

c131

name 名前Erik Branger
date 日付November 4, 2010 16:20:20 UTC 2010 年 11 月 5 日 (金) 1 時 20 分 20 秒 (日本時間)
composite number 合成数
28596770223876860441742451595955858616071376340740849784394005421386146801234807816705118191256065311301918912544561604018450360589<131>
prime factors 素因数
1563579217087085341605804046868601908084919798502069<52>
18289300542860906072171329066617155701850767153360464171723465795289702059097081<80>
factorization results 素因数分解の結果
Number: 95551_185
N = 28596770223876860441742451595955858616071376340740849784394005421386146801234807816705118191256065311301918912544561604018450360589 (131 digits)
Divisors found:
r1=1563579217087085341605804046868601908084919798502069 (pp52)
r2=18289300542860906072171329066617155701850767153360464171723465795289702059097081 (pp80)
Version: Msieve v. 1.47
Total time: 108.31 hours.
Factorization parameters were as follows:
# Murphy_E = 7.95e-11, selected by Erik Branger
n: 28596770223876860441742451595955858616071376340740849784394005421386146801234807816705118191256065311301918912544561604018450360589
Y0: -22332616783921538033082692
Y1: 176994683995277
c0: 82801784394813302062085881048581
c1: -1249081589774368921427371245
c2: -1198281186288481170737
c3: 2782381783800193
c4: -29345795748
c5: 5148
skew: 558083.93
type: gnfs
# selected mechanically
rlim: 10100000
alim: 10100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 10100000/10100000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [5050000, 9750000)
Relations: 19097975
Relations in full relation-set: 2502266 relations
Pruned matrix : 1468160 x 1468385
Polynomial selection time: 0.00 hours.
Total sieving time: 105.16 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 1.87 hours.
time per square root: 1.15 hours.
Prototype def-par.txt line would be: gnfs,130,5,65,2000,1e-05,0.28,250,20,50000,3600,10100000,10100000,28,28,54,54,2.6,2.6,100000
total time: 108.31 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
351e6418118Makoto KamadaSeptember 28, 2010 12:00:00 UTC 2010 年 9 月 28 日 (火) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 28, 2010 18:16:36 UTC 2010 年 9 月 29 日 (水) 3 時 16 分 36 秒 (日本時間)
403e62126110Ignacio SantosSeptember 28, 2010 18:16:36 UTC 2010 年 9 月 29 日 (水) 3 時 16 分 36 秒 (日本時間)
2016Wataru SakaiSeptember 30, 2010 14:12:21 UTC 2010 年 9 月 30 日 (木) 23 時 12 分 21 秒 (日本時間)
4511e6403232Ignacio SantosSeptember 28, 2010 18:16:36 UTC 2010 年 9 月 29 日 (水) 3 時 16 分 36 秒 (日本時間)
4000Wataru SakaiOctober 4, 2010 01:53:59 UTC 2010 年 10 月 4 日 (月) 10 時 53 分 59 秒 (日本時間)

86×10186-419

c149

name 名前Ignacio Santos
date 日付October 27, 2010 23:23:42 UTC 2010 年 10 月 28 日 (木) 8 時 23 分 42 秒 (日本時間)
composite number 合成数
11550470678101212882379315757484037367265986121755547051708580430926201501203314322692825580099759269678198593114072307644195639512605374941860200537<149>
prime factors 素因数
198783443636929127085785409172663726482433<42>
58105798283672637177015667876678163266429832295837836033455577012521904948912202071897768888662973748608089<107>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1584857429
Step 1 took 6645ms
Step 2 took 5101ms
********** Factor found in step 2: 198783443636929127085785409172663726482433
Found probable prime factor of 42 digits: 198783443636929127085785409172663726482433
Probable prime cofactor 58105798283672637177015667876678163266429832295837836033455577012521904948912202071897768888662973748608089 has 107 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--
351e6118 / 904Makoto KamadaSeptember 28, 2010 12:00:00 UTC 2010 年 9 月 28 日 (火) 21 時 0 分 0 秒 (日本時間)

86×10187-419

c187

name 名前Robert Backstrom
date 日付October 11, 2010 06:14:18 UTC 2010 年 10 月 11 日 (月) 15 時 14 分 18 秒 (日本時間)
composite number 合成数
1050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061<187>
prime factors 素因数
11847498557685385683995307128393390669345725352433014430665929253992111126384095322583083<89>
88631456247773344192708710630741508879726517936080813332074877379973781373267151560991206900174567<98>
factorization results 素因数分解の結果
Number: n
N=1050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061
  ( 187 digits)
SNFS difficulty: 188 digits.
Divisors found:

Mon Oct 11 17:09:05 2010  prp89 factor: 11847498557685385683995307128393390669345725352433014430665929253992111126384095322583083
Mon Oct 11 17:09:05 2010  prp98 factor: 88631456247773344192708710630741508879726517936080813332074877379973781373267151560991206900174567
Mon Oct 11 17:09:05 2010  elapsed time 05:16:33 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.091).
Factorization parameters were as follows:
name: KA_9_5_186_1
n: 1050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061050061
m: 10000000000000000000000000000000000000
deg: 5
c5: 8600
c0: -41
skew: 0.34
type: snfs
lss: 1
rlim: 9900000
alim: 9900000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 9900000/9900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 6050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2670139 hash collisions in 23620737 relations
Msieve: matrix is 1932674 x 1932896 (552.0 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:
snfs,188,5,0,0,0,0,0,0,0,0,9900000,9900000,28,28,56,56,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 4015340k/5242880k available (3972k kernel code, 1049604k absent, 177936k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.05 BogoMIPS (lpj=2830525)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830446)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.93 BogoMIPS (lpj=2830468)
Total of 4 processors activated (22643.79 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 28, 2010 12:00:00 UTC 2010 年 9 月 28 日 (火) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 29, 2010 07:04:34 UTC 2010 年 9 月 29 日 (水) 16 時 4 分 34 秒 (日本時間)
403e6110 / 2126Ignacio SantosSeptember 29, 2010 07:04:34 UTC 2010 年 9 月 29 日 (水) 16 時 4 分 34 秒 (日本時間)
4511e632 / 4437Ignacio SantosSeptember 29, 2010 07:04:34 UTC 2010 年 9 月 29 日 (水) 16 時 4 分 34 秒 (日本時間)

86×10188-419

c137

name 名前Serge Batalov
date 日付September 28, 2010 21:23:02 UTC 2010 年 9 月 29 日 (水) 6 時 23 分 2 秒 (日本時間)
composite number 合成数
71413927023500290232919023423390980556025358405596417538281962244117913025610583532376884586045690070496884258590593954669158313100855467<137>
prime factors 素因数
16560762693669802570615231<26>
composite cofactor 合成数の残り
4312236600721149109738946747205608829728558404794930829121596092896785465166561891102191022428986951743547278357<112>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=1921707045
Step 1 took 6444ms
Step 2 took 3728ms
********** Factor found in step 2: 16560762693669802570615231
Found probable prime factor of 26 digits: 16560762693669802570615231
Composite cofactor has 112 digits

c112

name 名前Sinkiti Sibata
date 日付October 2, 2010 09:22:01 UTC 2010 年 10 月 2 日 (土) 18 時 22 分 1 秒 (日本時間)
composite number 合成数
4312236600721149109738946747205608829728558404794930829121596092896785465166561891102191022428986951743547278357<112>
prime factors 素因数
258182596596216033663760312486902862952351<42>
16702274504835272673851006636238824739343774130051545068412507993896907<71>
factorization results 素因数分解の結果
Number: 95551_188
N=4312236600721149109738946747205608829728558404794930829121596092896785465166561891102191022428986951743547278357
  ( 112 digits)
Divisors found:
 r1=258182596596216033663760312486902862952351 (pp42)
 r2=16702274504835272673851006636238824739343774130051545068412507993896907 (pp71)
Version: Msieve-1.40
Total time: 26.24 hours.
Scaled time: 78.98 units (timescale=3.010).
Factorization parameters were as follows:
name: 95551_188
n: 4312236600721149109738946747205608829728558404794930829121596092896785465166561891102191022428986951743547278357
skew: 11243.82
# norm 3.74e+14
c5: 19440
c4: 851248287
c3: -19720293142234
c2: 73695191234831542
c1: 738368765543271722894
c0: 881736763860630573349531
# alpha -3.83
Y1: 796197202427
Y0: -2945779504252523160910
# Murphy_E 7.68e-10
# M 4305938732705922256076376849977776540488732669558707055850049055756023473011877642809342512745278563632868338672
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 397971 x 398219
Polynomial selection time: 1.88 hours.
Total sieving time: 23.80 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.32 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
gnfs,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 26.24 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 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
351e6418118Makoto KamadaSeptember 28, 2010 12:00:00 UTC 2010 年 9 月 28 日 (火) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 29, 2010 16:46:11 UTC 2010 年 9 月 30 日 (木) 1 時 46 分 11 秒 (日本時間)
403e6110 / 2126Ignacio SantosSeptember 29, 2010 16:46:11 UTC 2010 年 9 月 30 日 (木) 1 時 46 分 11 秒 (日本時間)
4511e632 / 4437Ignacio SantosSeptember 29, 2010 16:46:11 UTC 2010 年 9 月 30 日 (木) 1 時 46 分 11 秒 (日本時間)

86×10193-419

c162

name 名前Eric Jeancolas
date 日付July 3, 2021 10:38:25 UTC 2021 年 7 月 3 日 (土) 19 時 38 分 25 秒 (日本時間)
composite number 合成数
246348218526933828928791473964394720786584825640943424230314226123778671852758431613007247361217443937896569087590482292238372586352116097476575646372785707081531<162>
prime factors 素因数
2283996846042457466731414448361455425749254159873<49>
107858388225792863025254321929187700096843734083194953171635761846805338226080819584650679004722436388081841247547<114>
factorization results 素因数分解の結果
246348218526933828928791473964394720786584825640943424230314226123778671852758431613007247361217443937896569087590482292238372586352116097476575646372785707081531=2283996846042457466731414448361455425749254159873*107858388225792863025254321929187700096843734083194953171635761846805338226080819584650679004722436388081841247547

cado polynomial
n: 246348218526933828928791473964394720786584825640943424230314226123778671852758431613007247361217443937896569087590482292238372586352116097476575646372785707081531
skew: 0.60
type: snfs
c0: -41
c6: 860
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 860*x^6-41
# g(x) = -x+100000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 12400000
tasks.lim1 = 12400000
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: 107858388225792863025254321929187700096843734083194953171635761846805338226080819584650679004722436388081841247547 2283996846042457466731414448361455425749254159873
Info:Square Root: Total cpu/real time for sqrt: 687.57/214.052
Info:Filtering - Singleton removal: Total cpu/real time for purge: 362.72/431.444
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25753682
Info:Lattice Sieving: Average J: 1895.25 for 2159587 special-q, max bucket fill -bkmult 1.0,1s:1.177810
Info:Lattice Sieving: Total time: 460249s
Info:Linear Algebra: Total cpu/real time for bwc: 78556.6/20096.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 50192.49, WCT time 12800.5, iteration CPU time 0.18, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (67584 iterations)
Info:Linear Algebra: Lingen CPU time 477.16, WCT time 120.82
Info:Linear Algebra: Mksol: CPU time 27160.95,  WCT time 6934.8, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (33792 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 8.21/3.33077
Info:Generate Free Relations: Total cpu/real time for freerel: 182.07/46.6317
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 108.66/126.705
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 125.89999999999999s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 480.2/482.661
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 396.5s
Info:Filtering - Merging: Merged matrix has 2150956 rows and total weight 365682494 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 586.6/162.514
Info:Filtering - Merging: Total cpu/real time for replay: 85.16/76.5489
Info:Quadratic Characters: Total cpu/real time for characters: 75.55/33.0904
Info:Square Root: Total cpu/real time for sqrt: 687.57/214.052
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 969210/59860.1
Info:root: Cleaning up computation data in /tmp/cado.jfbuax0m
107858388225792863025254321929187700096843734083194953171635761846805338226080819584650679004722436388081841247547 2283996846042457466731414448361455425749254159873
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
4 x 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
351e6418118Makoto KamadaSeptember 28, 2010 12:00:00 UTC 2010 年 9 月 28 日 (火) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 28, 2010 05:42:29 UTC 2010 年 10 月 28 日 (木) 14 時 42 分 29 秒 (日本時間)
403e6110Ignacio SantosOctober 28, 2010 05:42:29 UTC 2010 年 10 月 28 日 (木) 14 時 42 分 29 秒 (日本時間)
4511e6632 / 373532Ignacio SantosOctober 28, 2010 05:42:29 UTC 2010 年 10 月 28 日 (木) 14 時 42 分 29 秒 (日本時間)
600Dmitry DomanovFebruary 10, 2012 13:41:07 UTC 2012 年 2 月 10 日 (金) 22 時 41 分 7 秒 (日本時間)
5043e6200 / 7405Dmitry DomanovMarch 11, 2012 18:51:57 UTC 2012 年 3 月 12 日 (月) 3 時 51 分 57 秒 (日本時間)

86×10194-419

c179

name 名前Serge Batalov
date 日付September 28, 2010 21:21:55 UTC 2010 年 9 月 29 日 (水) 6 時 21 分 55 秒 (日本時間)
composite number 合成数
14685241815548378480946170770362601634509277593525518002673004232828400313948479567639247389563387471770178646022568957679496403018873083551610281896057527958894843450912847568829<179>
prime factors 素因数
936521468568502341115722023<27>
composite cofactor 合成数の残り
15680624853154894834477236128283097747175833348126327220111722278967364869144017090266468076273096305118493606590782449673610916616445479392768477120123<152>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=1839896943
Step 1 took 8937ms
Step 2 took 4652ms
********** Factor found in step 2: 936521468568502341115722023
Found probable prime factor of 27 digits: 936521468568502341115722023
Composite cofactor has 152 digits

c152

name 名前Eric Jeancolas
date 日付February 7, 2021 02:55:59 UTC 2021 年 2 月 7 日 (日) 11 時 55 分 59 秒 (日本時間)
composite number 合成数
15680624853154894834477236128283097747175833348126327220111722278967364869144017090266468076273096305118493606590782449673610916616445479392768477120123<152>
prime factors 素因数
79492045941048743382698543427662976503847605981<47>
197260300291976852846327656739835298778559922593685051751646412091057088135043003519596223694483603177783<105>
factorization results 素因数分解の結果
15680624853154894834477236128283097747175833348126327220111722278967364869144017090266468076273096305118493606590782449673610916616445479392768477120123=79492045941048743382698543427662976503847605981*197260300291976852846327656739835298778559922593685051751646412091057088135043003519596223694483603177783

cado polynomial
n: 15680624853154894834477236128283097747175833348126327220111722278967364869144017090266468076273096305118493606590782449673610916616445479392768477120123
skew: 1.37
type: snfs
c0: -205
c5: 43
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 43*x^5-205
# g(x) = -x+1000000000000000000000000000000000000000

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

cado log (extracts)
Info:Square Root: Factors: 79492045941048743382698543427662976503847605981 197260300291976852846327656739835298778559922593685051751646412091057088135043003519596223694483603177783
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: 5.7/2.33072
Info:Generate Free Relations: Total cpu/real time for freerel: 99/25.4708
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 29295266
Info:Lattice Sieving: Average J: 1893.32 for 3514092 special-q, max bucket fill -bkmult 1.0,1s:1.108350
Info:Lattice Sieving: Total time: 896235s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 56.26/150.22
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 149.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 487.57/496.239
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 436.09999999999997s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 422.69/496.149
Info:Filtering - Merging: Merged matrix has 2692256 rows and total weight 459668413 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 389.77/112.352
Info:Filtering - Merging: Total cpu/real time for replay: 104.67/94.1444
Info:Linear Algebra: Total cpu/real time for bwc: 130501/33439.3
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 20863.09, iteration CPU time 0.23, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (84480 iterations)
Info:Linear Algebra: Lingen CPU time 547.38, WCT time 158.52
Info:Linear Algebra: Mksol: WCT time 12128.1, iteration CPU time 0.27, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (42496 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 93.69/40.9985
Info:Square Root: Total cpu/real time for sqrt: 717.5/228.62
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.78517e+06/292032
Info:root: Cleaning up computation data in /tmp/cado.x1fm0xr6
79492045941048743382698543427662976503847605981 197260300291976852846327656739835298778559922593685051751646412091057088135043003519596223694483603177783
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-48-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
351e6418118Makoto KamadaSeptember 28, 2010 12:00:00 UTC 2010 年 9 月 28 日 (火) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 28, 2010 05:43:04 UTC 2010 年 10 月 28 日 (木) 14 時 43 分 4 秒 (日本時間)
403e6110Ignacio SantosOctober 28, 2010 05:43:04 UTC 2010 年 10 月 28 日 (木) 14 時 43 分 4 秒 (日本時間)
4511e6632 / 373532Ignacio SantosOctober 28, 2010 05:43:04 UTC 2010 年 10 月 28 日 (木) 14 時 43 分 4 秒 (日本時間)
600Dmitry DomanovFebruary 10, 2012 13:41:16 UTC 2012 年 2 月 10 日 (金) 22 時 41 分 16 秒 (日本時間)
5043e6200 / 7405Dmitry DomanovMarch 11, 2012 18:52:13 UTC 2012 年 3 月 12 日 (月) 3 時 52 分 13 秒 (日本時間)

86×10195-419

c165

name 名前Eric Jeancolas
date 日付June 26, 2021 06:03:21 UTC 2021 年 6 月 26 日 (土) 15 時 3 分 21 秒 (日本時間)
composite number 合成数
198409232725754260908396458859014060552435984275747230163826205030662626446280068026557422941517624366205179268315466108748086445152214395682779685970747810620264083<165>
prime factors 素因数
71823246692423568972648192182765962414836064182452816990291527737666331<71>
2762465383602380221454216804664173744744812264503656602337123322784818207764884134706533116393<94>
factorization results 素因数分解の結果
198409232725754260908396458859014060552435984275747230163826205030662626446280068026557422941517624366205179268315466108748086445152214395682779685970747810620264083=71823246692423568972648192182765962414836064182452816990291527737666331*2762465383602380221454216804664173744744812264503656602337123322784818207764884134706533116393

cado polynomial
n: 198409232725754260908396458859014060552435984275747230163826205030662626446280068026557422941517624366205179268315466108748086445152214395682779685970747810620264083
skew: 0.86
type: snfs
c0: -41
c5: 86
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 86*x^5-41
# g(x) = -x+1000000000000000000000000000000000000000

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

cado log (extracts)
Info:Square Root: Factors: 71823246692423568972648192182765962414836064182452816990291527737666331 2762465383602380221454216804664173744744812264503656602337123322784818207764884134706533116393
Info:Square Root: Total cpu/real time for sqrt: 767.07/243.848
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 30996443
Info:Lattice Sieving: Average J: 1893.81 for 4469829 special-q, max bucket fill -bkmult 1.0,1s:1.146620
Info:Lattice Sieving: Total time: 994701s
Info:Square Root: Total cpu/real time for sqrt: 767.07/243.848
Info:Quadratic Characters: Total cpu/real time for characters: 96.24/41.233
Info:Generate Free Relations: Total cpu/real time for freerel: 117.67/31.9107
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 132.39/155.231
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 154.10000000000002s
Info:Filtering - Merging: Merged matrix has 2822856 rows and total weight 482187762 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 793.2/218.52
Info:Filtering - Merging: Total cpu/real time for replay: 109.17/96.876
Info:Linear Algebra: Total cpu/real time for bwc: 141296/36132.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 90719.2, WCT time 23118.98, iteration CPU time 0.25, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (88576 iterations)
Info:Linear Algebra: Lingen CPU time 615.97, WCT time 156.22
Info:Linear Algebra: Mksol: CPU time 48911.23,  WCT time 12486.18, iteration CPU time 0.27, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (44544 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 5.56/2.77937
Info:Filtering - Singleton removal: Total cpu/real time for purge: 481.12/546.294
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 584.19/572.855
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 454.50000000000006s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.07908e+06/171521
Info:root: Cleaning up computation data in /tmp/cado.ox8adw5d
71823246692423568972648192182765962414836064182452816990291527737666331 2762465383602380221454216804664173744744812264503656602337123322784818207764884134706533116393
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
4 x 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
351e6418118Makoto KamadaSeptember 28, 2010 12:00:00 UTC 2010 年 9 月 28 日 (火) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 28, 2010 05:43:33 UTC 2010 年 10 月 28 日 (木) 14 時 43 分 33 秒 (日本時間)
403e6110Ignacio SantosOctober 28, 2010 05:43:33 UTC 2010 年 10 月 28 日 (木) 14 時 43 分 33 秒 (日本時間)
4511e6632 / 373532Ignacio SantosOctober 28, 2010 05:43:33 UTC 2010 年 10 月 28 日 (木) 14 時 43 分 33 秒 (日本時間)
600Dmitry DomanovFebruary 10, 2012 13:41:24 UTC 2012 年 2 月 10 日 (金) 22 時 41 分 24 秒 (日本時間)
5043e6200 / 7405Dmitry DomanovMarch 11, 2012 18:59:48 UTC 2012 年 3 月 12 日 (月) 3 時 59 分 48 秒 (日本時間)

86×10196-419

c191

name 名前Robert Backstrom
date 日付October 20, 2010 20:39:30 UTC 2010 年 10 月 21 日 (木) 5 時 39 分 30 秒 (日本時間)
composite number 合成数
63605454478352808066177481553863502546769793296325313203242428565712533077609822398039531973315588890730488675529569029409608994343774020766293369212726445587419669454286648926661653669335803<191>
prime factors 素因数
291131600442804851382992583682669116452351367467532994525521033708637279<72>
218476642115147551910284941068646664528525777001124466199286684160207677070360001502051480737616740528818030698953277157<120>
factorization results 素因数分解の結果
Number: n
N=63605454478352808066177481553863502546769793296325313203242428565712533077609822398039531973315588890730488675529569029409608994343774020766293369212726445587419669454286648926661653669335803
  ( 191 digits)
SNFS difficulty: 197 digits.
Divisors found:

Thu Oct 21 07:27:10 2010  prp72 factor: 291131600442804851382992583682669116452351367467532994525521033708637279
Thu Oct 21 07:27:10 2010  prp120 factor: 218476642115147551910284941068646664528525777001124466199286684160207677070360001502051480737616740528818030698953277157
Thu Oct 21 07:27:10 2010  elapsed time 07:01:49 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.086).
Factorization parameters were as follows:
name: KA_9_5_195_1
n: 63605454478352808066177481553863502546769793296325313203242428565712533077609822398039531973315588890730488675529569029409608994343774020766293369212726445587419669454286648926661653669335803
m: 1000000000000000000000000000000000000000
deg: 5
c5: 860
c0: -41
skew: 0.54
type: snfs
lss: 1
rlim: 13900000
alim: 13900000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 13900000/13900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 21650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4902059 hash collisions in 30713614 relations
Msieve: matrix is 2192331 x 2192556 (621.4 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:
snfs,197,5,0,0,0,0,0,0,0,0,13900000,13900000,28,28,56,56,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 4015340k/5242880k available (3972k kernel code, 1049604k absent, 177936k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.05 BogoMIPS (lpj=2830525)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830446)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.93 BogoMIPS (lpj=2830468)
Total of 4 processors activated (22643.79 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 28, 2010 12:00:00 UTC 2010 年 9 月 28 日 (火) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 29, 2010 13:19:42 UTC 2010 年 9 月 29 日 (水) 22 時 19 分 42 秒 (日本時間)
403e62126110Ignacio SantosSeptember 29, 2010 13:19:42 UTC 2010 年 9 月 29 日 (水) 22 時 19 分 42 秒 (日本時間)
2016Wataru SakaiSeptember 30, 2010 14:12:33 UTC 2010 年 9 月 30 日 (木) 23 時 12 分 33 秒 (日本時間)
4511e632 / 3991Ignacio SantosSeptember 29, 2010 13:19:42 UTC 2010 年 9 月 29 日 (水) 22 時 19 分 42 秒 (日本時間)

86×10200-419

c191

name 名前matsui
date 日付July 22, 2011 10:31:29 UTC 2011 年 7 月 22 日 (金) 19 時 31 分 29 秒 (日本時間)
composite number 合成数
28847502998036884374471267482580349132720220735283456397732251967413860707339638194903391424374387562964096298838479814509645751621286094708691184049904565316803423117948886296552779143559369<191>
prime factors 素因数
11912503494543730771253620870644929673019099210571411<53>
2421615490920936179488948582590057883943155241095528197893997424742365307755444756316876636374607540409216362142907744335488449109496268979<139>
factorization results 素因数分解の結果
N=28847502998036884374471267482580349132720220735283456397732251967413860707339638194903391424374387562964096298838479814509645751621286094708691184049904565316803423117948886296552779143559369
  ( 191 digits)
SNFS difficulty: 201 digits.
Divisors found:
 r1=11912503494543730771253620870644929673019099210571411 (pp53)
 r2=2421615490920936179488948582590057883943155241095528197893997424742365307755444756316876636374607540409216362142907744335488449109496268979 (pp139)
Version: Msieve v. 1.49
Total time:
Scaled time: 231.34 units (timescale=2.033).
Factorization parameters were as follows:
n: 28847502998036884374471267482580349132720220735283456397732251967413860707339638194903391424374387562964096298838479814509645751621286094708691184049904565316803423117948886296552779143559369
m: 10000000000000000000000000000000000000000
deg: 5
c5: 86
c0: -41
skew: 0.86
type: snfs
lss: 1
rlim: 16200000
alim: 16200000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 320000
Factor base limits: 16200000/16200000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [8100000, 18980001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3413052 x 3413289
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,201.000,5,0,0,0,0,0,0,0,0,16200000,16200000,29,29,56,56,2.6,2.6,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 28, 2010 12:00:00 UTC 2010 年 9 月 28 日 (火) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 28, 2010 05:44:00 UTC 2010 年 10 月 28 日 (木) 14 時 44 分 0 秒 (日本時間)
403e6110 / 2126Ignacio SantosOctober 28, 2010 05:44:00 UTC 2010 年 10 月 28 日 (木) 14 時 44 分 0 秒 (日本時間)
4511e632 / 4437Ignacio SantosOctober 28, 2010 05:44:00 UTC 2010 年 10 月 28 日 (木) 14 時 44 分 0 秒 (日本時間)

86×10201-419

c138

name 名前Erik Branger
date 日付September 22, 2012 08:21:48 UTC 2012 年 9 月 22 日 (土) 17 時 21 分 48 秒 (日本時間)
composite number 合成数
191098355147540467653818434465592592729521956322631823019143405105547923907847066582770774505625294777797316390283762030522052057779064551<138>
prime factors 素因数
266270021099492625856672259764400189964324724152495558093492319<63>
717686333438701196476620260485629098510684134724583995474360595862970756729<75>
factorization results 素因数分解の結果
Number: 95551_201
N = 191098355147540467653818434465592592729521956322631823019143405105547923907847066582770774505625294777797316390283762030522052057779064551 (138 digits)
Divisors found:
r1=266270021099492625856672259764400189964324724152495558093492319 (pp63)
r2=717686333438701196476620260485629098510684134724583995474360595862970756729 (pp75)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 241.22 hours.
Factorization parameters were as follows:
# Murphy_E = 3.58e-11, selected by Erik Branger
n: 191098355147540467653818434465592592729521956322631823019143405105547923907847066582770774505625294777797316390283762030522052057779064551
Y0: -388214465103884458233529819
Y1: 200188432188817
c0: -45951988660273683424031090877179400
c1: 320351281740828393209599768040
c2: 214128814616768422530979
c3: -194008454639195785
c4: -59051481057
c5: 21672
skew: 1870402.37
type: gnfs
# selected mechanically
rlim: 15400000
alim: 15400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 15400000/15400000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [7700000, 18000000)
Relations: 23118354
Relations in full relation-set: 3240842 relations
Pruned matrix : 2031182 x 2031413
Polynomial selection time: 0.00 hours.
Total sieving time: 237.51 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 3.44 hours.
time per square root: 0.15 hours.
Prototype def-par.txt line would be: gnfs,137,5,65,2000,1e-05,0.28,250,20,50000,3600,15400000,15400000,28,28,55,55,2.6,2.6,100000
total time: 241.22 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
351e6418118Makoto KamadaDecember 31, 2011 00:00:00 UTC 2011 年 12 月 31 日 (土) 9 時 0 分 0 秒 (日本時間)
300Ignacio SantosJanuary 6, 2012 12:18:12 UTC 2012 年 1 月 6 日 (金) 21 時 18 分 12 秒 (日本時間)
403e62126110Ignacio SantosJanuary 6, 2012 12:18:12 UTC 2012 年 1 月 6 日 (金) 21 時 18 分 12 秒 (日本時間)
2016Wataru SakaiJanuary 9, 2012 03:11:51 UTC 2012 年 1 月 9 日 (月) 12 時 11 分 51 秒 (日本時間)
4511e6363232Ignacio SantosJanuary 6, 2012 12:18:12 UTC 2012 年 1 月 6 日 (金) 21 時 18 分 12 秒 (日本時間)
600Dmitry DomanovFebruary 10, 2012 13:41:34 UTC 2012 年 2 月 10 日 (金) 22 時 41 分 34 秒 (日本時間)
3000Wataru SakaiApril 7, 2012 08:46:08 UTC 2012 年 4 月 7 日 (土) 17 時 46 分 8 秒 (日本時間)
5043e6200 / 6655Dmitry DomanovMarch 5, 2012 14:39:51 UTC 2012 年 3 月 5 日 (月) 23 時 39 分 51 秒 (日本時間)

86×10202-419

c182

name 名前Bob Backstrom
date 日付September 21, 2021 21:40:24 UTC 2021 年 9 月 22 日 (水) 6 時 40 分 24 秒 (日本時間)
composite number 合成数
75472499190916027398130023687807802965845867959548771917172619947664245783738954915587615779601687956409717960795033475637240951150201930229979227815709786364747145560912464626639429<182>
prime factors 素因数
674420958777074232703572214358056356863395505310462391165786114072708961587<75>
111907108177317195971785935965704579269117849575012746470008893989015280830391552662565829055073612526451367<108>
factorization results 素因数分解の結果
Number: n
N=75472499190916027398130023687807802965845867959548771917172619947664245783738954915587615779601687956409717960795033475637240951150201930229979227815709786364747145560912464626639429  ( 182 digits)
SNFS difficulty: 203 digits.
Divisors found:

Wed Sep 22 07:31:18 2021  p75 factor: 674420958777074232703572214358056356863395505310462391165786114072708961587
Wed Sep 22 07:31:18 2021  p108 factor: 111907108177317195971785935965704579269117849575012746470008893989015280830391552662565829055073612526451367
Wed Sep 22 07:31:18 2021  elapsed time 02:20:53 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 86x10^202-41 = 95(201)1
#
n: 75472499190916027398130023687807802965845867959548771917172619947664245783738954915587615779601687956409717960795033475637240951150201930229979227815709786364747145560912464626639429
m: 10000000000000000000000000000000000000000
deg: 5
c5: 8600
c0: -41
skew: 0.34
# Murphy_E = 7.417e-12
type: snfs
lss: 1
rlim: 17500000
alim: 17500000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17500000/17500000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 50350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10267160 hash collisions in 61767277 relations (53416638 unique)
Msieve: matrix is 2475872 x 2476099 (860.0 MB)

Sieving start time : 2021/09/21 11:51:02
Sieving end time  : 2021/09/22 05:09:30

Total sieving time: 17hrs 18min 28secs.

Total relation processing time: 2hrs 1min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 23sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17500000,17500000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119850] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239964K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2736K init, 4964K bss, 487272K reserved, 0K cma-reserved)
[    0.154026] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.44 BogoMIPS (lpj=12798892)
[    0.150212] smpboot: Total of 16 processors activated (102391.13 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 31, 2011 00:00:00 UTC 2011 年 12 月 31 日 (土) 9 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 23, 2012 21:59:23 UTC 2012 年 1 月 24 日 (火) 6 時 59 分 23 秒 (日本時間)
4511e6600 / 3707Dmitry DomanovFebruary 10, 2012 13:41:42 UTC 2012 年 2 月 10 日 (金) 22 時 41 分 42 秒 (日本時間)
5043e6200 / 7407Dmitry DomanovMarch 11, 2012 19:00:05 UTC 2012 年 3 月 12 日 (月) 4 時 0 分 5 秒 (日本時間)

86×10203-419

c150

name 名前Serge Batalov
date 日付January 1, 2012 02:13:36 UTC 2012 年 1 月 1 日 (日) 11 時 13 分 36 秒 (日本時間)
composite number 合成数
560624617557626834365244326881926883168090441935239441717988609561394198434393573532579135922020759136164712473320359856890926454913334238163490374993<150>
prime factors 素因数
6480635246694587266733900254192625854547<40>
composite cofactor 合成数の残り
86507664174367839796616756701213358711006002479694274532666286262555727766898702414310243554499514170992383819<110>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3240446277
Step 1 took 2466ms
Step 2 took 2317ms
********** Factor found in step 2: 6480635246694587266733900254192625854547
Found probable prime factor of 40 digits: 6480635246694587266733900254192625854547
Composite cofactor 865076641743... has 110 digits

c110

name 名前Warut Roonguthai
date 日付January 1, 2012 17:05:57 UTC 2012 年 1 月 2 日 (月) 2 時 5 分 57 秒 (日本時間)
composite number 合成数
86507664174367839796616756701213358711006002479694274532666286262555727766898702414310243554499514170992383819<110>
prime factors 素因数
9144013674693221964515002036732032603568663<43>
9460579046790427908140859030453160155278134660826216360925332402413<67>
factorization results 素因数分解の結果
N = 86507664174367839796616756701213358711006002479694274532666286262555727766898702414310243554499514170992383819 (110 digits)
Divisors found:
r1=9144013674693221964515002036732032603568663 (pp43)
r2=9460579046790427908140859030453160155278134660826216360925332402413 (pp67)
Version: Msieve v. 1.48
Total time: 5.19 hours.
Factorization parameters were as follows:
n: 86507664174367839796616756701213358711006002479694274532666286262555727766898702414310243554499514170992383819
Y0: -1288722819598763716400
Y1: 411309743549
c0: 932141849733368305319882631
c1: -45455504651112525152767
c2: -1643995183927314251
c3: -23411221449661
c4: 1368677088
c5: 24336
skew: 42039.88  
type: gnfs
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 7833054
Relations: 570560 relations
Pruned matrix : 342133 x 342358
Polynomial selection time: 0.00 hours.
Total sieving time: 4.98 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.14 hours.
time per square root: 0.03 hours.
Prototype def-par.txt line would be: gnfs,109,5,61,2000,0.00015,0.3,250,15,50000,2400,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 5.19 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
3025e40--
351e6118 / 904Makoto KamadaDecember 31, 2011 00:00:00 UTC 2011 年 12 月 31 日 (土) 9 時 0 分 0 秒 (日本時間)

86×10204-419

c150

name 名前Dmitry Domanov
date 日付February 10, 2012 12:22:16 UTC 2012 年 2 月 10 日 (金) 21 時 22 分 16 秒 (日本時間)
composite number 合成数
103736820156855282435438699924198936583349031141451827117953588444121695216126977258966799296676292328269329088418572283273281770974914440325440910277<150>
prime factors 素因数
186958970230889875114873449319741500379<39>
554864096805533216289553176309333958360757467615379951700353340054199434922203972139904409229746715583285821663<111>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=86943420
Step 1 took 80579ms
Step 2 took 30050ms
********** Factor found in step 2: 186958970230889875114873449319741500379
Found probable prime factor of 39 digits: 186958970230889875114873449319741500379

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 31, 2011 00:00:00 UTC 2011 年 12 月 31 日 (土) 9 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovJanuary 23, 2012 21:59:33 UTC 2012 年 1 月 24 日 (火) 6 時 59 分 33 秒 (日本時間)

86×10205-419

c193

name 名前Bob Backstrom
date 日付June 30, 2021 06:37:24 UTC 2021 年 6 月 30 日 (水) 15 時 37 分 24 秒 (日本時間)
composite number 合成数
5121617355357994849006136597646940399710710438548266990463366254480127788604111520794997024652649408591128166810290246796080546207893385808477143730381227184280073975598102007250179114342290601<193>
prime factors 素因数
2327919836995817166229405593723812029617879989<46>
2200083213332400256258901933548031089117886859370694803753716831274983729831003853867206134820699419198645058882804000554612677762142615006332966309<148>
factorization results 素因数分解の結果
Number: n
N=5121617355357994849006136597646940399710710438548266990463366254480127788604111520794997024652649408591128166810290246796080546207893385808477143730381227184280073975598102007250179114342290601
  ( 193 digits)
SNFS difficulty: 206 digits.
Divisors found:

Wed Jun 30 16:28:53 2021  p46 factor: 2327919836995817166229405593723812029617879989
Wed Jun 30 16:28:53 2021  p148 factor: 2200083213332400256258901933548031089117886859370694803753716831274983729831003853867206134820699419198645058882804000554612677762142615006332966309
Wed Jun 30 16:28:53 2021  elapsed time 01:53:56 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 86x10^205-41 = 95(204)1
#
n: 5121617355357994849006136597646940399710710438548266990463366254480127788604111520794997024652649408591128166810290246796080546207893385808477143730381227184280073975598102007250179114342290601
m: 10000000000000000000000000000000000
deg: 6
c6: 860
c0: -41
skew: 0.60
# Murphy_E = 8.359e-12
type: snfs
lss: 1
rlim: 19700000
alim: 19700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19700000/19700000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 44250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8702293 hash collisions in 60879235 relations (55029160 unique)
Msieve: matrix is 2225005 x 2225231 (776.0 MB)

Sieving start time : 2021/06/29 22:51:34
Sieving end time  : 2021/06/30 14:33:27

Total sieving time: 15hrs 41min 53secs.

Total relation processing time: 1hrs 34min 34sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 58sec.

Prototype def-par.txt line would be:
snfs,206,6,0,0,0,0,0,0,0,0,19700000,19700000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117292] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239972K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2736K init, 4964K bss, 487264K reserved, 0K cma-reserved)
[    0.153499] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.03 BogoMIPS (lpj=12798064)
[    0.152047] smpboot: Total of 16 processors activated (102384.51 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 31, 2011 00:00:00 UTC 2011 年 12 月 31 日 (土) 9 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 23, 2012 21:59:45 UTC 2012 年 1 月 24 日 (火) 6 時 59 分 45 秒 (日本時間)
4511e6600 / 3707Dmitry DomanovFebruary 10, 2012 13:41:58 UTC 2012 年 2 月 10 日 (金) 22 時 41 分 58 秒 (日本時間)
5043e6200 / 7407Dmitry DomanovMarch 14, 2012 14:44:18 UTC 2012 年 3 月 14 日 (水) 23 時 44 分 18 秒 (日本時間)

86×10206-419

c175

name 名前Bob Backstrom
date 日付July 18, 2021 22:49:20 UTC 2021 年 7 月 19 日 (月) 7 時 49 分 20 秒 (日本時間)
composite number 合成数
6290263947456871805867764002077522035116960152533862244422848378778971155630253861575352597504615547745496845571402735839271574786183812118568927789615838584371005830970982887<175>
prime factors 素因数
2109155432474156113352333192153516164039687<43>
3951596280976721255573984143194591856138625490330741728311<58>
754723226340077329403227597553307258002623392156590202847104213691850604391<75>
factorization results 素因数分解の結果
#
# N = 86x10^206-41 = 95(205)1
#
n: 6290263947456871805867764002077522035116960152533862244422848378778971155630253861575352597504615547745496845571402735839271574786183812118568927789615838584371005830970982887
m: 100000000000000000000000000000000000000000
deg: 5
c5: 860
c0: -41
skew: 0.54
# Murphy_E = 5.271e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 6290263947456871805867764002077522035116960152533862244422848378778971155630253861575352597504615547745496845571402735839271574786183812118568927789615838584371005830970982887 (175 digits
)
Using B1=42810000, B2=240489969736, polynomial Dickson(12), sigma=1:2727170462
Step 1 took 113924ms
Step 2 took 38288ms
********** Factor found in step 2: 2109155432474156113352333192153516164039687
Found prime factor of 43 digits: 2109155432474156113352333192153516164039687
Composite cofactor 2982361494372201807023857344876622228508755927166968120535824205078887577069921059893303779210905375038485259254471865462289265613601 has 133 digits



CADO

STA:Sun 18 Jul 2021 22:58:09 AEST (2,982,361,494,372,201,807,023,857,344,876,622,228,508,755,927,166,968,120,535,824,205,078,887,577,069,921,059,893,303,779,210,905,375,038,485,259,254,471,865,462,289,26
5,613,601 - C133)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 2982361494372201807023857344876622228508755927166968120535824205078887577069921059893303779210905375038485259254471865462
289265613601 2>&1 | tee -a log32

Debug:root: Looking for parameter file for c133 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c135
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c135
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.kbau1pni
Info:Database: Opened connection to database /tmp/cado.kbau1pni/c135.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 2982361494372201807023857344876622228508755927166968120535824205078887577069921059893
303779210905375038485259254471865462289265613601
Debug:root: Root parameter dictionary:
N = 2982361494372201807023857344876622228508755927166968120535824205078887577069921059893303779210905375038485259254471865462289265613601
...
n: 2982361494372201807023857344876622228508755927166968120535824205078887577069921059893303779210905375038485259254471865462289265613601
skew: 1161918.092
c0: 1978915539089219019784453114405088
c1: -1710730703043840206407721418
c2: -10592213398629831137011
c3: -779247505955997
c4: -391881862
c5: 1080
Y0: -88806154296402880578428319
Y1: 27479134636551493
# MurphyE (Bf=1.64e+07,Bg=3.34e+06,area=5.51e+14) = 6.02e-10
# f(x) = 1080*x^5-391881862*x^4-779247505955997*x^3-10592213398629831137011*x^2-1710730703043840206407721418*x+1978915539089219019784453114405088
# g(x) = 27479134636551493*x-88806154296402880578428319
...
Info:Square Root: Factors: 754723226340077329403227597553307258002623392156590202847104213691850604391 3951596280976721255573984143194591856138625490330741728311
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 790.64/112.997
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 35600.4
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 36413/38.910/47.617/52.030/1.012
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 36413/38.190/42.498/48.190/1.185
Info:Polynomial Selection (size optimized): Total time: 9005.81
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2625.16
Info:Polynomial Selection (root optimized): Rootsieve time: 2624.24
Info:Generate Factor Base: Total cpu/real time for makefb: 21.55/1.98465
Info:Generate Free Relations: Total cpu/real time for freerel: 302.16/20.0789
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 19117109
Info:Lattice Sieving: Average J: 3845.71 for 466503 special-q, max bucket fill: 0.760276
Info:Lattice Sieving: Total CPU time: 379091s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 51.56/64.0694
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 64.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 307.11/93.8379
Info:Filtering - Singleton removal: Total cpu/real time for purge: 261.3/91.6765
Info:Filtering - Merging: Total cpu/real time for merge: 414.71/349.334
Info:Filtering - Merging: Total cpu/real time for replay: 33.46/26.5122
Info:Linear Algebra: Total cpu/real time for bwc: 25139.6/0.00022316
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 1088.21
Info:Linear Algebra: Lingen CPU time 238.02, WCT time 23.43
Info:Linear Algebra: Mksol: WCT time 609.13
Info:Quadratic Characters: Total cpu/real time for characters: 34.92/8.37225
Info:Square Root: Total cpu/real time for sqrt: 790.64/112.997
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 418079/34844.8
Info:root: Cleaning up computation data in /tmp/cado.kbau1pni
754723226340077329403227597553307258002623392156590202847104213691850604391 3951596280976721255573984143194591856138625490330741728311

END:Mon 19 Jul 2021 08:38:55 AEST (2,982,361,494,372,201,807,023,857,344,876,622,228,508,755,927,166,968,120,535,824,205,078,887,577,069,921,059,893,303,779,210,905,375,038,485,259,254,471,865,462,289,26
5,613,601 - C133)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 31, 2011 00:00:00 UTC 2011 年 12 月 31 日 (土) 9 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 23, 2012 21:59:58 UTC 2012 年 1 月 24 日 (火) 6 時 59 分 58 秒 (日本時間)
4511e6600 / 3707Dmitry DomanovFebruary 10, 2012 13:42:06 UTC 2012 年 2 月 10 日 (金) 22 時 42 分 6 秒 (日本時間)
5043e6200 / 7407Dmitry DomanovMarch 11, 2012 19:00:35 UTC 2012 年 3 月 12 日 (月) 4 時 0 分 35 秒 (日本時間)

86×10207-419

c162

name 名前Dmitry Domanov
date 日付February 12, 2012 08:55:36 UTC 2012 年 2 月 12 日 (日) 17 時 55 分 36 秒 (日本時間)
composite number 合成数
279036917470820064220956695110259834892086518137159966061171742456694270420501746165831623405088189345424340770112104025318715302389739097404241383369539534233521<162>
prime factors 素因数
37893417272063199350310032617515211873<38>
composite cofactor 合成数の残り
7363730630769453957133042464816307073342449981077109499448831867375358685653963094669740983077139788594388490601597102884177<124>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=566590954
Step 1 took 101526ms
Step 2 took 33014ms
********** Factor found in step 2: 37893417272063199350310032617515211873
Found probable prime factor of 38 digits: 37893417272063199350310032617515211873
Composite cofactor 7363730630769453957133042464816307073342449981077109499448831867375358685653963094669740983077139788594388490601597102884177 has 124 digits

c124

name 名前Warut Roonguthai
date 日付February 15, 2012 09:45:00 UTC 2012 年 2 月 15 日 (水) 18 時 45 分 0 秒 (日本時間)
composite number 合成数
7363730630769453957133042464816307073342449981077109499448831867375358685653963094669740983077139788594388490601597102884177<124>
prime factors 素因数
152600059541394156013415610345795446469824077052371<51>
48255096707691486552614372315866756549112261579795263338547231242389014987<74>
factorization results 素因数分解の結果
N = 7363730630769453957133042464816307073342449981077109499448831867375358685653963094669740983077139788594388490601597102884177 (124 digits)
Divisors found:
r1=152600059541394156013415610345795446469824077052371 (pp51)
r2=48255096707691486552614372315866756549112261579795263338547231242389014987 (pp74)
Version: Msieve v. 1.48
Total time: 22.00 hours.
Factorization parameters were as follows:
n: 7363730630769453957133042464816307073342449981077109499448831867375358685653963094669740983077139788594388490601597102884177
Y0: -1363944082463857732358832
Y1: 17556428174813
c0: 305260896454925337805017602645
c1: -295007170079774267491834
c2: 2380505313577568631
c3: -155921026385150
c4: -2660729156
c5: 1560
skew: 209007.21 
type: gnfs
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 11193935
Relations: 1534266 relations
Pruned matrix : 897360 x 897588
Polynomial selection time: 0.00 hours.
Total sieving time: 20.89 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.98 hours.
time per square root: 0.06 hours.
Prototype def-par.txt line would be: gnfs,123,5,65,2000,1e-05,0.28,250,20,50000,3600,5200000,5200000,27,27,53,53,2.5,2.5,100000
total time: 22.00 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
351e6118Makoto KamadaDecember 31, 2011 00:00:00 UTC 2011 年 12 月 31 日 (土) 9 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 23, 2012 22:00:10 UTC 2012 年 1 月 24 日 (火) 7 時 0 分 10 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovFebruary 10, 2012 13:42:15 UTC 2012 年 2 月 10 日 (金) 22 時 42 分 15 秒 (日本時間)

86×10208-419

c204

name 名前Serge Batalov
date 日付January 1, 2012 02:16:55 UTC 2012 年 1 月 1 日 (日) 11 時 16 分 55 秒 (日本時間)
composite number 合成数
130340414303678312582684700323895929544640606767971480304881384918431907818409128557630241522303290928746684465711150182923677957935510897292208204565339725469744579771137388344869217792315280731276410037<204>
prime factors 素因数
8470989131601933776346339410233567859<37>
composite cofactor 合成数の残り
15386681800526624840625617837874757383548201000711716117235584623863275880412744089950041354316965288085657764900577949531312186819841706864620184977357089083898341943<167>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=1515961776
Step 1 took 3996ms
Step 2 took 3153ms
********** Factor found in step 2: 8470989131601933776346339410233567859
Found probable prime factor of 37 digits: 8470989131601933776346339410233567859
Composite cofactor 153866818005... has 167 digits

c167

name 名前Dmitry Domanov
date 日付February 12, 2012 08:55:47 UTC 2012 年 2 月 12 日 (日) 17 時 55 分 47 秒 (日本時間)
composite number 合成数
15386681800526624840625617837874757383548201000711716117235584623863275880412744089950041354316965288085657764900577949531312186819841706864620184977357089083898341943<167>
prime factors 素因数
661728704016844464504898344545691051785407<42>
composite cofactor 合成数の残り
23252250819899378472527057444441032939840912673659425253276297767810009345413768281202250842772571232040503257077161869351049<125>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=642168432
Step 1 took 99652ms
Step 2 took 34369ms
********** Factor found in step 2: 661728704016844464504898344545691051785407
Found probable prime factor of 42 digits: 661728704016844464504898344545691051785407
Composite cofactor 23252250819899378472527057444441032939840912673659425253276297767810009345413768281202250842772571232040503257077161869351049 has 125 digits

c125

name 名前Warut Roonguthai
date 日付February 18, 2012 06:09:04 UTC 2012 年 2 月 18 日 (土) 15 時 9 分 4 秒 (日本時間)
composite number 合成数
23252250819899378472527057444441032939840912673659425253276297767810009345413768281202250842772571232040503257077161869351049<125>
prime factors 素因数
210719069866562767631034269218842151009200901<45>
110347159536266926580604404235591241714910796960908821584876163262130836771296949<81>
factorization results 素因数分解の結果
N = 23252250819899378472527057444441032939840912673659425253276297767810009345413768281202250842772571232040503257077161869351049 (125 digits)
Divisors found:
r1=210719069866562767631034269218842151009200901 (pp45)
r2=110347159536266926580604404235591241714910796960908821584876163262130836771296949 (pp81)
Version: Msieve v. 1.48
Total time: 22.14 hours.
Factorization parameters were as follows:
n: 23252250819899378472527057444441032939840912673659425253276297767810009345413768281202250842772571232040503257077161869351049
Y0: -1404152935427952939379379
Y1: 23424388090651
c0: -35350818161879150596371548304
c1: 5919220261699242190448454
c2: 449316866322901797671
c3: 553682881323404
c4: -9796433170
c5: 4260
skew: 192037.67 
type: gnfs
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 11078418
Relations: 1621758 relations
Pruned matrix : 930189 x 930422
Polynomial selection time: 0.00 hours.
Total sieving time: 20.90 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 1.05 hours.
time per square root: 0.13 hours.
Prototype def-par.txt line would be: gnfs,124,5,65,2000,1e-05,0.28,250,20,50000,3600,5500000,5500000,27,27,53,53,2.5,2.5,100000
total time: 22.14 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
351e6118Makoto KamadaDecember 31, 2011 00:00:00 UTC 2011 年 12 月 31 日 (土) 9 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 23, 2012 22:00:22 UTC 2012 年 1 月 24 日 (火) 7 時 0 分 22 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovFebruary 10, 2012 13:42:22 UTC 2012 年 2 月 10 日 (金) 22 時 42 分 22 秒 (日本時間)

86×10209-419

c166

composite cofactor 合成数の残り
4441837955441056023063845825017057831495890842696086238065936532745185280385062053255322679343348758447803243414090012844659134859471595486130631659931898888040253499<166>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 31, 2011 00:00:00 UTC 2011 年 12 月 31 日 (土) 9 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 23, 2012 22:00:32 UTC 2012 年 1 月 24 日 (火) 7 時 0 分 32 秒 (日本時間)
4511e6600 / 3707Dmitry DomanovFebruary 10, 2012 13:42:29 UTC 2012 年 2 月 10 日 (金) 22 時 42 分 29 秒 (日本時間)
5043e6200 / 7407Dmitry DomanovMarch 5, 2012 14:40:18 UTC 2012 年 3 月 5 日 (月) 23 時 40 分 18 秒 (日本時間)

86×10214-419

c202

composite cofactor 合成数の残り
1682441755935475314204696083350605776645255392287511397933227769516053599544756930677823227160463237305805336265353680961648686335230528189697124464038039297819020395801361714132963560696272296186277653<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 31, 2011 00:00:00 UTC 2011 年 12 月 31 日 (土) 9 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 23, 2012 22:00:41 UTC 2012 年 1 月 24 日 (火) 7 時 0 分 41 秒 (日本時間)
4511e6600 / 3707Dmitry DomanovFebruary 10, 2012 13:42:41 UTC 2012 年 2 月 10 日 (金) 22 時 42 分 41 秒 (日本時間)
5043e6200 / 7407Dmitry DomanovMarch 20, 2012 20:37:52 UTC 2012 年 3 月 21 日 (水) 5 時 37 分 52 秒 (日本時間)

86×10215-419

c192

name 名前Serge Batalov
date 日付January 1, 2012 02:14:58 UTC 2012 年 1 月 1 日 (日) 11 時 14 分 58 秒 (日本時間)
composite number 合成数
888041407755391100534633612042511981377746037197614731775976297922819945265486656925563443897928700613142067706796326034627607056698818839662707851405374215014130173018726566409534970535791679<192>
prime factors 素因数
4684916594784958552218686293193<31>
composite cofactor 合成数の残り
189553301491838600580074240580541102571452933468667965467888564920699437679786141644664716620095679404169570506825260561988862200519435925679944241274916717589703<162>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=2697592383
Step 1 took 3418ms
Step 2 took 2886ms
********** Factor found in step 2: 4684916594784958552218686293193
Found probable prime factor of 31 digits: 4684916594784958552218686293193
Composite cofactor 189553301491... has 162 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 31, 2011 00:00:00 UTC 2011 年 12 月 31 日 (土) 9 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 23, 2012 22:00:57 UTC 2012 年 1 月 24 日 (火) 7 時 0 分 57 秒 (日本時間)
4511e6600 / 3707Dmitry DomanovFebruary 10, 2012 13:42:49 UTC 2012 年 2 月 10 日 (金) 22 時 42 分 49 秒 (日本時間)
5043e6200 / 7407Dmitry DomanovMarch 5, 2012 14:40:36 UTC 2012 年 3 月 5 日 (月) 23 時 40 分 36 秒 (日本時間)

86×10216-419

c191

composite cofactor 合成数の残り
43045577568385896880486553350003245413097724824449429492987499776269274228431512661957946217243158037445583501808948238286941751648654514932399131592804709431110708453842417031126216264896043<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 31, 2011 00:00:00 UTC 2011 年 12 月 31 日 (土) 9 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 23, 2012 22:01:10 UTC 2012 年 1 月 24 日 (火) 7 時 1 分 10 秒 (日本時間)
4511e6600 / 3707Dmitry DomanovFebruary 10, 2012 13:42:58 UTC 2012 年 2 月 10 日 (金) 22 時 42 分 58 秒 (日本時間)
5043e6200 / 7407Dmitry DomanovMarch 14, 2012 14:44:49 UTC 2012 年 3 月 14 日 (水) 23 時 44 分 49 秒 (日本時間)

86×10217-419

c203

name 名前Dmitry Domanov
date 日付February 12, 2012 19:53:36 UTC 2012 年 2 月 13 日 (月) 4 時 53 分 36 秒 (日本時間)
composite number 合成数
60145955341229469474679706625315552080640264714632069372253124732406149447449383339747311846831170355035488696198852032832586473829345361106411848017984519985319763969110476508282461485014213472259385069<203>
prime factors 素因数
3051036400180537382944404736156447869193373<43>
19713286717153057984340074639109273133752479107274398384426787526593490974880310227570404639454471795882302924865931451781545128852474292840883828216138061163153<161>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1875494119
Step 1 took 137496ms
********** Factor found in step 1: 3051036400180537382944404736156447869193373
Found probable prime factor of 43 digits: 3051036400180537382944404736156447869193373

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 31, 2011 00:00:00 UTC 2011 年 12 月 31 日 (土) 9 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 23, 2012 22:01:22 UTC 2012 年 1 月 24 日 (火) 7 時 1 分 22 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovFebruary 10, 2012 13:43:06 UTC 2012 年 2 月 10 日 (金) 22 時 43 分 6 秒 (日本時間)

86×10218-419

c214

name 名前Bob Backstrom
date 日付May 8, 2018 14:35:12 UTC 2018 年 5 月 8 日 (火) 23 時 35 分 12 秒 (日本時間)
composite number 合成数
2080773195963590340276583147817885890881834099953085822942169748025624479957919991367210740467336820805989916960212955039088292287662539235277138423920762221094733490455904665746771353753460797628112116898805950721<214>
prime factors 素因数
3288869677432594369986916059115285372881579979979<49>
18254441903925945438346815143045072811461035910997214756167731035162072015089157<80>
34658480646262476115793904710273723606173723307355338439747394283926132788709748305607<86>
factorization results 素因数分解の結果
Number: n
N=2080773195963590340276583147817885890881834099953085822942169748025624479957919991367210740467336820805989916960212955039088292287662539235277138423920762221094733490455904665746771353753460797628112116898805950721
  ( 214 digits)
SNFS difficulty: 219 digits.
Divisors found:

Tue May  8 23:37:11 2018  found factor: 3288869677432594369986916059115285372881579979979
Wed May  9 00:29:20 2018  p49 factor: 3288869677432594369986916059115285372881579979979
Wed May  9 00:29:20 2018  p80 factor: 18254441903925945438346815143045072811461035910997214756167731035162072015089157
Wed May  9 00:29:20 2018  p86 factor: 34658480646262476115793904710273723606173723307355338439747394283926132788709748305607
Wed May  9 00:29:20 2018  elapsed time 11:32:18 (Msieve 1.53 - dependency 4)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.759).
Factorization parameters were as follows:
#
# 86x10^218-41 = 95(217)1
#
n: 2080773195963590340276583147817885890881834099953085822942169748025624479957919991367210740467336820805989916960212955039088292287662539235277138423920762221094733490455904665746771353753460797628112116898805950721
m: 1000000000000000000000000000000000000
deg: 6
c6: 8600
c0: -41
skew: 0.41
# Murphy_E = 1.658e-12
type: snfs
lss: 1
rlim: 32000000
alim: 32000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 32000000/32000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 108800000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 15710171 hash collisions in 73034538 relations (57443500 unique)
Msieve: matrix is 5058543 x 5058769 (1436.9 MB)

Sieving start time: 2018/05/05 13:59:13
Sieving end time  : 2018/05/08 12:54:41

Total sieving time: 70hrs 55min 28secs.

Total relation processing time: 10hrs 7min 6sec.
Matrix solve time: 0.00 hours.
Total square root time: 1hrs 3min 14sec.

Prototype def-par.txt line would be:
snfs,219,6,0,0,0,0,0,0,0,0,32000000,32000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.036000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16286848K/16703460K available (12300K kernel code, 2470K rwdata, 4240K rodata, 2404K init, 2416K bss, 416612K reserved, 0K cma-reserved)
[    0.068639] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.28 BogoMIPS (lpj=11976564)
[    0.066207] smpboot: Total of 16 processors activated (95812.51 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 31, 2011 00:00:00 UTC 2011 年 12 月 31 日 (土) 9 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiJanuary 16, 2012 01:17:59 UTC 2012 年 1 月 16 日 (月) 10 時 17 分 59 秒 (日本時間)
4511e6600 / 3261Dmitry DomanovFebruary 10, 2012 13:43:16 UTC 2012 年 2 月 10 日 (金) 22 時 43 分 16 秒 (日本時間)
5043e6200 / 7330Dmitry DomanovMarch 20, 2012 20:38:15 UTC 2012 年 3 月 21 日 (水) 5 時 38 分 15 秒 (日本時間)

86×10220-419

c183

name 名前Warut Roonguthai
date 日付December 31, 2011 19:10:05 UTC 2012 年 1 月 1 日 (日) 4 時 10 分 5 秒 (日本時間)
composite number 合成数
312776539349349173454282901834309948969212120660645225597106823605297330211810255630905331741615779871503588977209880629745347705556022687224355865153083460774886860447894090811546767<183>
prime factors 素因数
102127952710381281195007540277<30>
composite cofactor 合成数の残り
3062594823929683213954158239673292583330929738721276699234890367759629004067901069452860111961066543061763574331327012462998680734538954036562453996152371<154>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2383123082
Step 1 took 8627ms
Step 2 took 5273ms
********** Factor found in step 2: 102127952710381281195007540277
Found probable prime factor of 30 digits: 102127952710381281195007540277
Composite cofactor 3062594823929683213954158239673292583330929738721276699234890367759629004067901069452860111961066543061763574331327012462998680734538954036562453996152371 has 154 digits
software ソフトウェア
GMP-ECM 6.3

c154

name 名前Serge Batalov
date 日付January 5, 2014 08:15:46 UTC 2014 年 1 月 5 日 (日) 17 時 15 分 46 秒 (日本時間)
composite number 合成数
3062594823929683213954158239673292583330929738721276699234890367759629004067901069452860111961066543061763574331327012462998680734538954036562453996152371<154>
prime factors 素因数
92584696653508279427423895536641797784992547<44>
33078844934722085982950915816730560941599060435034995886678637364921532807176109802920150547180820644746076593<110>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=245594853
Step 1 took 34085ms
Step 2 took 19503ms
********** Factor found in step 2: 92584696653508279427423895536641797784992547
Found probable prime factor of 44 digits: 92584696653508279427423895536641797784992547
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaDecember 31, 2011 00:00:00 UTC 2011 年 12 月 31 日 (土) 9 時 0 分 0 秒 (日本時間)
300Ignacio SantosJanuary 6, 2012 14:44:37 UTC 2012 年 1 月 6 日 (金) 23 時 44 分 37 秒 (日本時間)
403e6110Ignacio SantosJanuary 6, 2012 14:44:37 UTC 2012 年 1 月 6 日 (金) 23 時 44 分 37 秒 (日本時間)
4511e61482 / 373532Ignacio SantosJanuary 6, 2012 14:44:37 UTC 2012 年 1 月 6 日 (金) 23 時 44 分 37 秒 (日本時間)
600Dmitry DomanovFebruary 10, 2012 13:43:26 UTC 2012 年 2 月 10 日 (金) 22 時 43 分 26 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:11:47 UTC 2013 年 11 月 9 日 (土) 2 時 11 分 47 秒 (日本時間)
5043e6200 / 7214Dmitry DomanovMarch 5, 2012 14:41:00 UTC 2012 年 3 月 5 日 (月) 23 時 41 分 0 秒 (日本時間)

86×10221-419

c198

name 名前Erik Branger
date 日付August 26, 2020 21:01:55 UTC 2020 年 8 月 27 日 (木) 6 時 1 分 55 秒 (日本時間)
composite number 合成数
517823097302261764488850763665385255901577151297089656941488420668725112123344580294168201107221025380350269862782404225137205554390991005227081693014385955631940718153908224980591985988658283875739<198>
prime factors 素因数
29724708436206674397720477570501167545026812374663367269<56>
17420628310403164373863865100884985780999673836233686651992952072617367155005720888551045862151300470144737494448618450077783803844089071941631<143>
factorization results 素因数分解の結果
Number: 95551_221
N = 517823097302261764488850763665385255901577151297089656941488420668725112123344580294168201107221025380350269862782404225137205554390991005227081693014385955631940718153908224980591985988658283875739 (198 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=29724708436206674397720477570501167545026812374663367269 (pp56)
r2=17420628310403164373863865100884985780999673836233686651992952072617367155005720888551045862151300470144737494448618450077783803844089071941631 (pp143)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 82.22 hours.
Factorization parameters were as follows:
n: 517823097302261764488850763665385255901577151297089656941488420668725112123344580294168201107221025380350269862782404225137205554390991005227081693014385955631940718153908224980591985988658283875739
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 860
c0: -41
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: 8662760 relations
Pruned matrix : 7357310 x 7357535
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 39.10 hours.
Total relation processing time: 0.38 hours.
Matrix solve time: 41.99 hours.
time per square root: 0.75 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 82.22 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.18362-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 KamadaDecember 31, 2011 00:00:00 UTC 2011 年 12 月 31 日 (土) 9 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 23, 2012 22:01:45 UTC 2012 年 1 月 24 日 (火) 7 時 1 分 45 秒 (日本時間)
4511e6600 / 3707Dmitry DomanovFebruary 10, 2012 13:43:34 UTC 2012 年 2 月 10 日 (金) 22 時 43 分 34 秒 (日本時間)
5043e6200 / 7407Dmitry DomanovMarch 14, 2012 14:45:09 UTC 2012 年 3 月 14 日 (水) 23 時 45 分 9 秒 (日本時間)

86×10222-419

c216

name 名前Warut Roonguthai
date 日付December 31, 2011 18:55:14 UTC 2012 年 1 月 1 日 (日) 3 時 55 分 14 秒 (日本時間)
composite number 合成数
294198872711337597718625947175408767354239878355471131426022200226409294787821224417325534449625799730459782105846863582250791806332877725327934332458019847757488420939582871359856394825232031999696660436731863634129<216>
prime factors 素因数
499950205546129588717577832509<30>
composite cofactor 合成数の残り
588456349147739970984357000399660495161033105889917382461866232751705075348357310254032929902116658955724882255721282742299090793391818617052348494652567741906142947834959186268044550181<186>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3294768831
Step 1 took 11466ms
Step 2 took 6365ms
********** Factor found in step 2: 499950205546129588717577832509
Found probable prime factor of 30 digits: 499950205546129588717577832509
Composite cofactor 588456349147739970984357000399660495161033105889917382461866232751705075348357310254032929902116658955724882255721282742299090793391818617052348494652567741906142947834959186268044550181 has 186 digits
software ソフトウェア
GMP-ECM 6.3

c186

name 名前Erik Branger
date 日付September 1, 2020 11:22:53 UTC 2020 年 9 月 1 日 (火) 20 時 22 分 53 秒 (日本時間)
composite number 合成数
588456349147739970984357000399660495161033105889917382461866232751705075348357310254032929902116658955724882255721282742299090793391818617052348494652567741906142947834959186268044550181<186>
prime factors 素因数
2683019122710516475830508421622499142827923026742022482744337<61>
219326185254040505038303978705973600661734990896822371936063147617485663876858313793104327878928000445097172610357365032947413<126>
factorization results 素因数分解の結果
Number: 95551_222
N = 588456349147739970984357000399660495161033105889917382461866232751705075348357310254032929902116658955724882255721282742299090793391818617052348494652567741906142947834959186268044550181 (186 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=2683019122710516475830508421622499142827923026742022482744337 (pp61)
r2=219326185254040505038303978705973600661734990896822371936063147617485663876858313793104327878928000445097172610357365032947413 (pp126)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 130.13 hours.
Factorization parameters were as follows:
n: 588456349147739970984357000399660495161033105889917382461866232751705075348357310254032929902116658955724882255721282742299090793391818617052348494652567741906142947834959186268044550181
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 8600
c0: -41
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: 11095468 relations
Pruned matrix : 9431248 x 9431473
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 54.71 hours.
Total relation processing time: 0.39 hours.
Matrix solve time: 74.00 hours.
time per square root: 1.04 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 130.13 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_facotry, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 31, 2011 00:00:00 UTC 2011 年 12 月 31 日 (土) 9 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 23, 2012 22:01:55 UTC 2012 年 1 月 24 日 (火) 7 時 1 分 55 秒 (日本時間)
4511e6600 / 3707Dmitry DomanovFebruary 10, 2012 13:43:48 UTC 2012 年 2 月 10 日 (金) 22 時 43 分 48 秒 (日本時間)
5043e6200 / 7407Dmitry DomanovMarch 11, 2012 19:01:20 UTC 2012 年 3 月 12 日 (月) 4 時 1 分 20 秒 (日本時間)

86×10223-419

c206

composite cofactor 合成数の残り
91732778486496016119469647816545723395631660077671825701498551280584175077440974575644147673278591980892717263284199688192843064255797537271617369968562939296309073815980507680124966933980921450359454436529<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 31, 2011 00:00:00 UTC 2011 年 12 月 31 日 (土) 9 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 23, 2012 22:02:09 UTC 2012 年 1 月 24 日 (火) 7 時 2 分 9 秒 (日本時間)
4511e6600 / 3707Dmitry DomanovFebruary 10, 2012 13:43:55 UTC 2012 年 2 月 10 日 (金) 22 時 43 分 55 秒 (日本時間)
5043e6200 / 7407Dmitry DomanovMarch 20, 2012 20:38:34 UTC 2012 年 3 月 21 日 (水) 5 時 38 分 34 秒 (日本時間)

86×10224-419

c204

name 名前Dmitry Domanov
date 日付March 21, 2012 06:30:56 UTC 2012 年 3 月 21 日 (水) 15 時 30 分 56 秒 (日本時間)
composite number 合成数
148213671268848372142834104883191709658091716583618756792971433277108312187999993636644093246081549614138427350014290099746745093559746937851086990488040500596068444073941184953863756872913408769707201467<204>
prime factors 素因数
5101293567954771088705319559154313841839<40>
composite cofactor 合成数の残り
29054134857067386683484452370291865435283970442239018270223863787695842463566059641011220441014567235537570818615721646445615653485607212841844085597193930005456053<164>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1982508275
Step 1 took 522756ms
Step 2 took 135022ms
********** Factor found in step 2: 5101293567954771088705319559154313841839
Found probable prime factor of 40 digits: 5101293567954771088705319559154313841839

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 31, 2011 00:00:00 UTC 2011 年 12 月 31 日 (土) 9 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 23, 2012 22:02:19 UTC 2012 年 1 月 24 日 (火) 7 時 2 分 19 秒 (日本時間)
4511e6600 / 3707Dmitry DomanovFebruary 10, 2012 13:44:03 UTC 2012 年 2 月 10 日 (金) 22 時 44 分 3 秒 (日本時間)
5043e6200 / 7407Dmitry DomanovMarch 20, 2012 20:39:05 UTC 2012 年 3 月 21 日 (水) 5 時 39 分 5 秒 (日本時間)

86×10225-419

c209

composite cofactor 合成数の残り
29073006866089997332815222642694043249491790896329772030568127580910818235698237827880087729226158698113804906826323527052268087623675770264811595835027446826091850549798803348783420106779848322238219411568831<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 31, 2011 00:00:00 UTC 2011 年 12 月 31 日 (土) 9 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 23, 2012 22:02:31 UTC 2012 年 1 月 24 日 (火) 7 時 2 分 31 秒 (日本時間)
4511e6600 / 3707Dmitry DomanovFebruary 10, 2012 13:44:10 UTC 2012 年 2 月 10 日 (金) 22 時 44 分 10 秒 (日本時間)
5043e6200 / 7407Dmitry DomanovMarch 20, 2012 20:39:18 UTC 2012 年 3 月 21 日 (水) 5 時 39 分 18 秒 (日本時間)

86×10226-419

c170

name 名前Dmitry Domanov
date 日付March 7, 2012 06:46:41 UTC 2012 年 3 月 7 日 (水) 15 時 46 分 41 秒 (日本時間)
composite number 合成数
17313628543225932869927890699187379093370204023406323960346744999363174818970964520530698537309925662675070494151930536425842686058851268207499327269902054880029637451313<170>
prime factors 素因数
25824786887771021832818577797584984350643<41>
670426773257306810256211076684366713711115451690849106677433016493006192122511379150036638296403524379133125076133228251912599691<129>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=616088020
Step 1 took 384485ms
Step 2 took 106496ms
********** Factor found in step 2: 25824786887771021832818577797584984350643
Found probable prime factor of 41 digits: 25824786887771021832818577797584984350643

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 31, 2011 00:00:00 UTC 2011 年 12 月 31 日 (土) 9 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 23, 2012 22:02:42 UTC 2012 年 1 月 24 日 (火) 7 時 2 分 42 秒 (日本時間)
4511e6600 / 3707Dmitry DomanovFebruary 10, 2012 13:44:19 UTC 2012 年 2 月 10 日 (金) 22 時 44 分 19 秒 (日本時間)
5043e6200 / 7407Dmitry DomanovMarch 5, 2012 14:41:23 UTC 2012 年 3 月 5 日 (月) 23 時 41 分 23 秒 (日本時間)

86×10227-419

c195

name 名前Dmitry Domanov
date 日付February 12, 2012 19:54:11 UTC 2012 年 2 月 13 日 (月) 4 時 54 分 11 秒 (日本時間)
composite number 合成数
528912774471888188945370489009579807291606357074002303881747288686155555794464209640847576148052213559187632600822636156939989295415300901405176389080340034967963349341752929350198419460709495007<195>
prime factors 素因数
482342263401753677581446432112162250008169<42>
composite cofactor 合成数の残り
1096550757840900392607866189640004216845734151144710070137098105442055099629650034087632390950236777240281744984774663300590286512264008969489028687594503<154>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2927638096
Step 1 took 141018ms
Step 2 took 40953ms
********** Factor found in step 2: 482342263401753677581446432112162250008169
Found probable prime factor of 42 digits: 482342263401753677581446432112162250008169

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 31, 2011 00:00:00 UTC 2011 年 12 月 31 日 (土) 9 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 23, 2012 22:02:53 UTC 2012 年 1 月 24 日 (火) 7 時 2 分 53 秒 (日本時間)
4511e63770600Dmitry DomanovFebruary 10, 2012 13:44:28 UTC 2012 年 2 月 10 日 (金) 22 時 44 分 28 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:11:40 UTC 2013 年 11 月 9 日 (土) 2 時 11 分 40 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:25:34 UTC 2014 年 1 月 6 日 (月) 11 時 25 分 34 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:34 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 34 秒 (日本時間)
400Serge BatalovJune 23, 2015 21:29:35 UTC 2015 年 6 月 24 日 (水) 6 時 29 分 35 秒 (日本時間)
620Ignacio SantosDecember 24, 2015 17:18:16 UTC 2015 年 12 月 25 日 (金) 2 時 18 分 16 秒 (日本時間)
5043e66800200Dmitry DomanovMarch 5, 2012 14:41:38 UTC 2012 年 3 月 5 日 (月) 23 時 41 分 38 秒 (日本時間)
6600yoyo@HomeMarch 17, 2021 12:32:56 UTC 2021 年 3 月 17 日 (水) 21 時 32 分 56 秒 (日本時間)

86×10229-419

c212

composite cofactor 合成数の残り
60600670328827686874685582718782080186648601221544668207599026327291640404569683197320914923655365960494045044758360201509075289970257587408107616499595399787865942719229791653127917770440157359020292788059150591<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 31, 2011 00:00:00 UTC 2011 年 12 月 31 日 (土) 9 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 23, 2012 22:03:04 UTC 2012 年 1 月 24 日 (火) 7 時 3 分 4 秒 (日本時間)
4511e6600 / 3707Dmitry DomanovFebruary 10, 2012 13:44:36 UTC 2012 年 2 月 10 日 (金) 22 時 44 分 36 秒 (日本時間)
5043e6200 / 7407Dmitry DomanovMarch 20, 2012 20:39:36 UTC 2012 年 3 月 21 日 (水) 5 時 39 分 36 秒 (日本時間)

86×10230-419

c147

name 名前ebina
date 日付August 15, 2022 10:46:29 UTC 2022 年 8 月 15 日 (月) 19 時 46 分 29 秒 (日本時間)
composite number 合成数
817247815624295131462967478134559298108013530619534678527089742056921161661139159705534253512285304517271997674272508688857133011157127891624277061<147>
prime factors 素因数
7903369204195790369027694617081609174227722859056597117409471<61>
103404990265471777428504602764729545304401062167897745622515779901536313280125668151291<87>
factorization results 素因数分解の結果
Number: 95551_230
N = 817247815624295131462967478134559298108013530619534678527089742056921161661139159705534253512285304517271997674272508688857133011157127891624277061 (147 digits)
Divisors found:
r1=7903369204195790369027694617081609174227722859056597117409471 (pp61)
r2=103404990265471777428504602764729545304401062167897745622515779901536313280125668151291 (pp87)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 95.36 hours.
Factorization parameters were as follows:
n: 817247815624295131462967478134559298108013530619534678527089742056921161661139159705534253512285304517271997674272508688857133011157127891624277061
# norm 3.031966e-14 alpha -8.111087 e 7.333e-12 rroots 3
skew: 29471748.34
c0: -1178011462328551259145436929244664115075
c1: 137186672389104575092453551971848
c2: -22255346947891012233643919
c3: -89886269649085382
c4: 57373362936
c5: 180
Y0: -85391682064616531918496446414
Y1: 2110314677764501
type: gnfs
Factor base limits: 17700000/17700000
Large primes per side: 3
Large prime bits: 29/29
Sieved algebraic special-q in [0, 0)
Total raw relations: 42783348
Relations: 6416042 relations
Pruned matrix : 3754868 x 3755094
Polynomial selection time: 0.70 hours.
Total sieving time: 87.22 hours.
Total relation processing time: 0.31 hours.
Matrix solve time: 6.93 hours.
time per square root: 0.19 hours.
Prototype def-par.txt line would be: gnfs,146,5,65,2000,1e-05,0.28,250,20,50000,3600,17700000,17700000,29,29,58,58,2.6,2.6,100000
total time: 95.36 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 8, speed: 3.19GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaDecember 31, 2011 00:00:00 UTC 2011 年 12 月 31 日 (土) 9 時 0 分 0 秒 (日本時間)
300Ignacio SantosJanuary 6, 2012 14:20:46 UTC 2012 年 1 月 6 日 (金) 23 時 20 分 46 秒 (日本時間)
403e62126110Ignacio SantosJanuary 6, 2012 14:20:46 UTC 2012 年 1 月 6 日 (金) 23 時 20 分 46 秒 (日本時間)
2016Wataru SakaiJanuary 9, 2012 03:11:37 UTC 2012 年 1 月 9 日 (月) 12 時 11 分 37 秒 (日本時間)
4511e6337032Ignacio SantosJanuary 6, 2012 14:20:46 UTC 2012 年 1 月 6 日 (金) 23 時 20 分 46 秒 (日本時間)
600Dmitry DomanovFebruary 10, 2012 13:44:45 UTC 2012 年 2 月 10 日 (金) 22 時 44 分 45 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:10:35 UTC 2013 年 11 月 9 日 (土) 2 時 10 分 35 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:24:42 UTC 2014 年 1 月 6 日 (月) 11 時 24 分 42 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:01:46 UTC 2014 年 5 月 25 日 (日) 4 時 1 分 46 秒 (日本時間)
588Ignacio SantosDecember 23, 2015 21:33:23 UTC 2015 年 12 月 24 日 (木) 6 時 33 分 23 秒 (日本時間)
5043e66743200Dmitry DomanovMarch 5, 2012 14:41:56 UTC 2012 年 3 月 5 日 (月) 23 時 41 分 56 秒 (日本時間)
6543Ignacio SantosJune 21, 2021 21:18:11 UTC 2021 年 6 月 22 日 (火) 6 時 18 分 11 秒 (日本時間)

86×10232-419

c232

name 名前Bob Backstrom
date 日付December 22, 2018 22:21:15 UTC 2018 年 12 月 23 日 (日) 7 時 21 分 15 秒 (日本時間)
composite number 合成数
1073657927590511860174781523096129837702871410736579275905118601747815230961298377028714107365792759051186017478152309612983770287141073657927590511860174781523096129837702871410736579275905118601747815230961298377028714107365792759<232>
prime factors 素因数
104525119924516937895327573093893023800172180237905669269<57>
10271769392523600711058871235618233722137017091249677331589552096679351419353537967267866893787859362947915377986112239810744352785297536184694016959205740580415730755087333211<176>
factorization results 素因数分解の結果
Number: n
N=1073657927590511860174781523096129837702871410736579275905118601747815230961298377028714107365792759051186017478152309612983770287141073657927590511860174781523096129837702871410736579275905118601747815230961298377028714107365792759
  ( 232 digits)
SNFS difficulty: 235 digits.
Divisors found:

Sun Dec 23 09:10:15 2018  p57 factor: 104525119924516937895327573093893023800172180237905669269
Sun Dec 23 09:10:15 2018  p176 factor: 10271769392523600711058871235618233722137017091249677331589552096679351419353537967267866893787859362947915377986112239810744352785297536184694016959205740580415730755087333211
Sun Dec 23 09:10:15 2018  elapsed time 38:53:48 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.121).
Factorization parameters were as follows:
#
# N = 86x10^232-41 = 95(231)1
#
n: 1073657927590511860174781523096129837702871410736579275905118601747815230961298377028714107365792759051186017478152309612983770287141073657927590511860174781523096129837702871410736579275905118601747815230961298377028714107365792759
m: 1000000000000000000000000000000000000000
deg: 6
c6: 43
c0: -2050
skew: 1.90
# Murphy_E = 6.661e-13
type: snfs
lss: 1
rlim: 59000000
alim: 59000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.7
alambda: 2.7
Factor base limits: 59000000/59000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 60/60
Sieved  special-q in [100000, 141500000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 21492586 hash collisions in 113313447 relations (93737885 unique)
Msieve: matrix is 8504832 x 8505056 (3000.3 MB)

Sieving start time: 2018/12/18 04:00:28
Sieving end time  : 2018/12/21 18:11:43

Total sieving time: 86hrs 11min 15secs.
Total relation processing time: 37hrs 52min 52sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 18min 24sec.

Prototype def-par.txt line would be:
snfs,235,6,0,0,0,0,0,0,0,0,59000000,59000000,30,30,60,60,2.7,2.7,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.044000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16285112K/16703460K available (12300K kernel code, 2472K rwdata, 4252K rodata, 2408K init, 2416K bss, 418348K reserved, 0K cma-reserved)
[    0.076563] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.75 BogoMIPS (lpj=11977512)
[    0.074212] smpboot: Total of 16 processors activated (95820.09 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 31, 2011 00:00:00 UTC 2011 年 12 月 31 日 (土) 9 時 0 分 0 秒 (日本時間)
403e6500Serge BatalovJanuary 9, 2012 09:48:38 UTC 2012 年 1 月 9 日 (月) 18 時 48 分 38 秒 (日本時間)
4511e63450800Dmitry DomanovFebruary 2, 2012 07:30:51 UTC 2012 年 2 月 2 日 (木) 16 時 30 分 51 秒 (日本時間)
600Dmitry DomanovFebruary 10, 2012 13:44:54 UTC 2012 年 2 月 10 日 (金) 22 時 44 分 54 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:16:35 UTC 2013 年 11 月 9 日 (土) 2 時 16 分 35 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:29:17 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 17 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:52 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 52 秒 (日本時間)
5043e6440 / 6760Dmitry DomanovMarch 20, 2012 20:40:06 UTC 2012 年 3 月 21 日 (水) 5 時 40 分 6 秒 (日本時間)

86×10233-419

c215

composite cofactor 合成数の残り
13348674884520928287174594119225550209045562833806362390724089193646935423377091922922330267752406060657630641502645854287515429857992664484268168943713340041834850864010233502384447865823521601993796864734739201401<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 31, 2011 00:00:00 UTC 2011 年 12 月 31 日 (土) 9 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 24, 2012 18:48:10 UTC 2012 年 1 月 25 日 (水) 3 時 48 分 10 秒 (日本時間)
4511e6600 / 3707Dmitry DomanovFebruary 10, 2012 13:45:02 UTC 2012 年 2 月 10 日 (金) 22 時 45 分 2 秒 (日本時間)
5043e6200 / 7407Dmitry DomanovMarch 20, 2012 20:41:19 UTC 2012 年 3 月 21 日 (水) 5 時 41 分 19 秒 (日本時間)

86×10234-419

c211

composite cofactor 合成数の残り
1470503387325850099530379890073084625470132076539763101231478898018238106986314520165636661778145683142572567661307927939209963171171651295619863662588350496360188864621650187852005345209375878352312878727583669<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 31, 2011 00:00:00 UTC 2011 年 12 月 31 日 (土) 9 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 24, 2012 18:48:21 UTC 2012 年 1 月 25 日 (水) 3 時 48 分 21 秒 (日本時間)
4511e6600 / 3707Dmitry DomanovFebruary 10, 2012 13:45:13 UTC 2012 年 2 月 10 日 (金) 22 時 45 分 13 秒 (日本時間)
5043e6200 / 7407Dmitry DomanovMarch 20, 2012 20:41:36 UTC 2012 年 3 月 21 日 (水) 5 時 41 分 36 秒 (日本時間)

86×10235-419

c167

name 名前Serge Batalov
date 日付January 1, 2012 02:16:16 UTC 2012 年 1 月 1 日 (日) 11 時 16 分 16 秒 (日本時間)
composite number 合成数
37950468345904176975141060787005785735058030783036166920832631118296977417614230542986631460561136229905515533740689847767001209012743982304715322897716111476756083743<167>
prime factors 素因数
238247304447005920348770097508803<33>
159290231778238717515731289092656673188749596214621941893363642264457827054254041797600179030366161923894397351496446087440381199716981<135>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3524931160
Step 1 took 2914ms
********** Factor found in step 1: 238247304447005920348770097508803
Found probable prime factor of 33 digits: 238247304447005920348770097508803
Probable prime cofactor 159290231778... has 135 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 31, 2011 00:00:00 UTC 2011 年 12 月 31 日 (土) 9 時 0 分 0 秒 (日本時間)

86×10236-419

c213

composite cofactor 合成数の残り
579569693273554075373983250771903807487816620054331004796442533102611543906499858671712114495283736208414412671560292285420928334581285206155284521051279488819724353461075371240625316838361422069280046717528911503<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 31, 2011 00:00:00 UTC 2011 年 12 月 31 日 (土) 9 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 24, 2012 18:48:33 UTC 2012 年 1 月 25 日 (水) 3 時 48 分 33 秒 (日本時間)
4511e6600 / 3707Dmitry DomanovFebruary 10, 2012 13:45:21 UTC 2012 年 2 月 10 日 (金) 22 時 45 分 21 秒 (日本時間)
5043e6200 / 7407Dmitry DomanovMarch 20, 2012 20:41:50 UTC 2012 年 3 月 21 日 (水) 5 時 41 分 50 秒 (日本時間)

86×10237-419

c235

composite cofactor 合成数の残り
3748746785231681269343097511006494921755808378013164203827208927248158319166557691469421559653022971971579268558476090841724423521206573383897824855062987664007671853886055533760516106534152826816616538075933917440390567106926463536899<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 31, 2011 00:00:00 UTC 2011 年 12 月 31 日 (土) 9 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiJanuary 16, 2012 01:18:33 UTC 2012 年 1 月 16 日 (月) 10 時 18 分 33 秒 (日本時間)
4511e61858600Dmitry DomanovFebruary 10, 2012 13:45:28 UTC 2012 年 2 月 10 日 (金) 22 時 45 分 28 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:17:15 UTC 2013 年 11 月 9 日 (土) 2 時 17 分 15 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:29:51 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 51 秒 (日本時間)
8KTakahashiJanuary 25, 2014 14:56:20 UTC 2014 年 1 月 25 日 (土) 23 時 56 分 20 秒 (日本時間)
5043e6600 / 7048Dmitry DomanovMarch 20, 2012 20:42:13 UTC 2012 年 3 月 21 日 (水) 5 時 42 分 13 秒 (日本時間)

86×10241-419

c226

name 名前Dmitry Domanov
date 日付March 26, 2012 06:17:38 UTC 2012 年 3 月 26 日 (月) 15 時 17 分 38 秒 (日本時間)
composite number 合成数
2802308352699151046957865265296323808804013527965059827908142008908981756932315372106995198488821995165707285339347684099685428576687176662397957829124792393778684565941930772468364347940050952169909223551024269213416370479403<226>
prime factors 素因数
65145315485870892556045329268188653764805929<44>
43016268043201548697361265901581734983203001092467203185126150811225341855599871800169389486424730646047835542761772290833272302643569986796647116025798071171242284777034565815405107<182>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2338660398
Step 1 took 619657ms
Step 2 took 149605ms
********** Factor found in step 2: 65145315485870892556045329268188653764805929
Found probable prime factor of 44 digits: 65145315485870892556045329268188653764805929

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 31, 2011 00:00:00 UTC 2011 年 12 月 31 日 (土) 9 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 24, 2012 18:48:53 UTC 2012 年 1 月 25 日 (水) 3 時 48 分 53 秒 (日本時間)
4511e6600 / 3707Dmitry DomanovFebruary 10, 2012 13:45:37 UTC 2012 年 2 月 10 日 (金) 22 時 45 分 37 秒 (日本時間)
5043e6200 / 7407Dmitry DomanovMarch 24, 2012 20:13:06 UTC 2012 年 3 月 25 日 (日) 5 時 13 分 6 秒 (日本時間)

86×10242-419

c219

name 名前Serge Batalov
date 日付January 1, 2012 02:14:15 UTC 2012 年 1 月 1 日 (日) 11 時 14 分 15 秒 (日本時間)
composite number 合成数
113935413580340862033677666752930284150801803701854372431707004956954351909599272287219218808171611014075766590238782939192497809050577409417487416432863081864197880331811576768319108586032942408274224218290141783091231<219>
prime factors 素因数
158658504898066702105486849189619<33>
composite cofactor 合成数の残り
718117277441514556048037378267113686773478184889756020179533280252759197361599140614614422411788469201961868479657400210702871913202060958526015522489048303716268371013035753438433402149<186>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3812811704
Step 1 took 4569ms
Step 2 took 3365ms
********** Factor found in step 2: 158658504898066702105486849189619
Found probable prime factor of 33 digits: 158658504898066702105486849189619
Composite cofactor 718117277441... has 186 digits

c186

name 名前Dmitry Domanov
date 日付March 13, 2012 10:01:13 UTC 2012 年 3 月 13 日 (火) 19 時 1 分 13 秒 (日本時間)
composite number 合成数
718117277441514556048037378267113686773478184889756020179533280252759197361599140614614422411788469201961868479657400210702871913202060958526015522489048303716268371013035753438433402149<186>
prime factors 素因数
298567996113330439580354110544199180213119<42>
composite cofactor 合成数の残り
2405205135144262417198972334971107225345403617898825259308704794980138382365373722757953684725129898084191831625937256213599384247744260046465371<145>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1528901511
Step 1 took 443353ms
Step 2 took 111772ms
********** Factor found in step 2: 298567996113330439580354110544199180213119
Found probable prime factor of 42 digits: 298567996113330439580354110544199180213119

c145

name 名前Robert Balfour
date 日付April 1, 2020 10:45:54 UTC 2020 年 4 月 1 日 (水) 19 時 45 分 54 秒 (日本時間)
composite number 合成数
2405205135144262417198972334971107225345403617898825259308704794980138382365373722757953684725129898084191831625937256213599384247744260046465371<145>
prime factors 素因数
58967971732134706941577227522780697596737685167<47>
40788330758094251385816159179666465415105147188961404868329489064794296316494643677604212279374613<98>
factorization results 素因数分解の結果
PID3138 2020-03-31 21:50:09,179 Debug:root: Root parameter dictionary:
N = 2405205135144262417198972334971107225345403617898825259308704794980138382365373722757953684725129898084191831625937256213599384247744260046465371
name = 95551_242
tasks.I = 14
tasks.lim0 = 13000000
tasks.lim1 = 20000000
tasks.lpb0 = 30
tasks.lpb1 = 31
tasks.qmin = 100000
tasks.threads = 6
tasks.wutimeout = 1800
tasks.filter.required_excess = 0.05
tasks.filter.target_density = 135.0
tasks.filter.purge.keep = 175
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.bwc.interleaving = 0
tasks.linalg.bwc.threads = 6
tasks.linalg.characters.nchar = 50
tasks.polyselect.P = 300000
tasks.polyselect.admax = 20e4
tasks.polyselect.admin = 12600
tasks.polyselect.adrange = 840
tasks.polyselect.degree = 5
tasks.polyselect.incr = 60
tasks.polyselect.nq = 15625
tasks.polyselect.nrkeep = 100
tasks.polyselect.threads = 2
tasks.sieve.lambda0 = 1.81
tasks.sieve.lambda1 = 1.79
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 58
tasks.sieve.ncurves0 = 19
tasks.sieve.ncurves1 = 22
tasks.sieve.qrange = 5000
tasks.sieve.rels_wanted = 85000000
tasks.sieve.las.threads = 2
tasks.sqrt.threads = 2
PID3138 2020-03-31 22:11:46,991 Info:Polynomial Selection (root optimized): Best polynomial is:
n: 2405205135144262417198972334971107225345403617898825259308704794980138382365373722757953684725129898084191831625937256213599384247744260046465371
skew: 124014.891
c0: -47433009074670644490706328994168
c1: -378681518955099326030048514
c2: 13294049704024667505397
c3: 96119050216446701
c4: -393999272382
c5: 1128600
Y0: -6881635247090541103329685025
Y1: 3988553888689372206593
# MurphyE (Bf=2.147e+09,Bg=1.074e+09,area=1.342e+13) = 2.813e-06
PID3138 2020-04-01 02:59:05,947 Info:Square Root: Factors: 58967971732134706941577227522780697596737685167 40788330758094251385816159179666465415105147188961404868329489064794296316494643677604212279374613
PID3138 2020-04-01 02:59:05,947 Debug:Square Root: Exit SqrtTask.run(sqrt)
PID3138 2020-04-01 02:59:05,948 Info:Polynomial Selection (size optimized): Aggregate statistics:
PID3138 2020-04-01 02:59:05,948 Info:Polynomial Selection (size optimized): potential collisions: 144726
PID3138 2020-04-01 02:59:05,948 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 146461/42.170/52.580/60.600/1.215
PID3138 2020-04-01 02:59:05,948 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 121521/41.530/46.484/53.060/0.988
PID3138 2020-04-01 02:59:05,948 Info:Polynomial Selection (size optimized): Total time: 62672.8
PID3138 2020-04-01 02:59:05,948 Info:Polynomial Selection (root optimized): Aggregate statistics:
PID3138 2020-04-01 02:59:05,949 Info:Polynomial Selection (root optimized): Total time: 1744.74
PID3138 2020-04-01 02:59:05,949 Info:Polynomial Selection (root optimized): Rootsieve time: 1741.76
PID3138 2020-04-01 02:59:05,949 Info:Generate Factor Base: Total cpu/real time for makefb: 14.35/2.78516
PID3138 2020-04-01 02:59:05,949 Info:Generate Free Relations: Total cpu/real time for freerel: 1344.13/227.172
PID3138 2020-04-01 02:59:05,949 Info:Lattice Sieving: Aggregate statistics:
PID3138 2020-04-01 02:59:05,949 Info:Lattice Sieving: Total number of relations: 93719863
PID3138 2020-04-01 02:59:05,950 Info:Lattice Sieving: Average J: 7696.97 for 519058 special-q, max bucket fill -bkmult 1.0,1s:1.085950
PID3138 2020-04-01 02:59:05,950 Info:Lattice Sieving: Total time: 493992s
PID3138 2020-04-01 02:59:05,950 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 279.45/274.717
PID3138 2020-04-01 02:59:05,950 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
PID3138 2020-04-01 02:59:05,950 Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 274.2s
PID3138 2020-04-01 02:59:05,950 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1049.53/360.189
PID3138 2020-04-01 02:59:05,951 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
PID3138 2020-04-01 02:59:05,951 Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 269.6s
PID3138 2020-04-01 02:59:05,951 Info:Filtering - Singleton removal: Total cpu/real time for purge: 431.67/188.46
PID3138 2020-04-01 02:59:05,951 Info:Filtering - Merging: Total cpu/real time for merge: 156.3/34.8943
PID3138 2020-04-01 02:59:05,951 Info:Filtering - Merging: Total cpu/real time for replay: 55.39/56.0263
PID3138 2020-04-01 02:59:05,951 Info:Linear Algebra: Total cpu/real time for bwc: 41990.6/7403.9
PID3138 2020-04-01 02:59:05,952 Info:Linear Algebra: Aggregate statistics:
PID3138 2020-04-01 02:59:05,952 Info:Linear Algebra: Krylov: WCT time 4660.62, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (69120 iterations)
PID3138 2020-04-01 02:59:05,952 Info:Linear Algebra: Lingen CPU time 270.79, WCT time 50.96
PID3138 2020-04-01 02:59:05,952 Info:Linear Algebra: Mksol: WCT time 2575.48, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (33792 iterations)
PID3138 2020-04-01 02:59:05,952 Info:Quadratic Characters: Total cpu/real time for characters: 71.92/22.695
PID3138 2020-04-01 02:59:05,952 Info:Square Root: Total cpu/real time for sqrt: 641.43/144
PID3138 2020-04-01 02:59:05,953 Info:HTTP server: Shutting down HTTP server
PID3138 2020-04-01 02:59:06,002 Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.11952e+06/18535.9
software ソフトウェア
CADO-NFS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 31, 2011 00:00:00 UTC 2011 年 12 月 31 日 (土) 9 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 24, 2012 18:51:01 UTC 2012 年 1 月 25 日 (水) 3 時 51 分 1 秒 (日本時間)
4511e63707600Dmitry DomanovFebruary 10, 2012 13:45:47 UTC 2012 年 2 月 10 日 (金) 22 時 45 分 47 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:10:04 UTC 2013 年 11 月 9 日 (土) 2 時 10 分 4 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:24:16 UTC 2014 年 1 月 6 日 (月) 11 時 24 分 16 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:58 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 58 秒 (日本時間)
57KTakahashiMay 25, 2014 08:20:05 UTC 2014 年 5 月 25 日 (日) 17 時 20 分 5 秒 (日本時間)
5043e6200 / 6709Dmitry DomanovMarch 11, 2012 19:01:58 UTC 2012 年 3 月 12 日 (月) 4 時 1 分 58 秒 (日本時間)

86×10243-419

c230

composite cofactor 合成数の残り
16054976497328691269328829645649828569076301511839028898728730387246198348526713246061614593055677699315734263351884229352984956077160727825883008541775406512618907957841899896246926388235100920212626802131115767782359916591261869<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 31, 2011 00:00:00 UTC 2011 年 12 月 31 日 (土) 9 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 24, 2012 18:51:23 UTC 2012 年 1 月 25 日 (水) 3 時 51 分 23 秒 (日本時間)
4511e6600 / 3707Dmitry DomanovFebruary 10, 2012 13:45:55 UTC 2012 年 2 月 10 日 (金) 22 時 45 分 55 秒 (日本時間)
5043e6200 / 7407Dmitry DomanovMarch 24, 2012 20:12:54 UTC 2012 年 3 月 25 日 (日) 5 時 12 分 54 秒 (日本時間)

86×10244-419

c229

composite cofactor 合成数の残り
5744340027549486408818958290355635188040900468501746560986682622292776130369629496005426980786568598844615647586354388266717083434160434682228026227228962485589796575712705938318867939013418480585817687238798799416058413438844411<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 31, 2011 00:00:00 UTC 2011 年 12 月 31 日 (土) 9 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 24, 2012 18:51:41 UTC 2012 年 1 月 25 日 (水) 3 時 51 分 41 秒 (日本時間)
4511e6600 / 3707Dmitry DomanovFebruary 10, 2012 13:46:02 UTC 2012 年 2 月 10 日 (金) 22 時 46 分 2 秒 (日本時間)
5043e6200 / 7407Dmitry DomanovMarch 24, 2012 20:12:40 UTC 2012 年 3 月 25 日 (日) 5 時 12 分 40 秒 (日本時間)

86×10245-419

c241

name 名前Serge Batalov
date 日付January 1, 2012 02:15:24 UTC 2012 年 1 月 1 日 (日) 11 時 15 分 24 秒 (日本時間)
composite number 合成数
1283639757547316677958218719975330234985183662728728559297962490553680098165604156246422413902475320159905691285533872491883590591159393877247321110993195365941066904647507298462214496502007030465099999268623859071877706744735845595451377741<241>
prime factors 素因数
3819605843159461342607180174459<31>
336066026248805049335014438154554970370582333210840339110758597761146565194765936268709223477422006938508269934339012757020300722695169089494286549936776233725107289765355776247563038316856381128249825418915799<210>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3102639691
Step 1 took 5260ms
Step 2 took 3781ms
********** Factor found in step 2: 3819605843159461342607180174459
Found probable prime factor of 31 digits: 3819605843159461342607180174459
Probable prime cofactor 336066026248... has 210 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 31, 2011 00:00:00 UTC 2011 年 12 月 31 日 (土) 9 時 0 分 0 秒 (日本時間)

86×10246-419

c238

name 名前Dmitry Domanov
date 日付March 1, 2012 06:21:22 UTC 2012 年 3 月 1 日 (木) 15 時 21 分 22 秒 (日本時間)
composite number 合成数
9652741002588326267015660889064670690122395847881718687070880671274542436755567292255995898032242738964963167737033693817673535533481220710962265216300622207345507581972652740672262549864487239914331066079455816301018800311304623740465219<238>
prime factors 素因数
29944633221098613734047554531602490175261<41>
composite cofactor 合成数の残り
322352954912372270610770787135704874642033209792006047465809437883160494243947826678540032758056759340876553436942924195463616510630391977784971535891032464672419871981227720748319404146737196883679<198>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2648100996
Step 1 took 542986ms
Step 2 took 142831ms
********** Factor found in step 2: 29944633221098613734047554531602490175261
Found probable prime factor of 41 digits: 29944633221098613734047554531602490175261

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 31, 2011 00:00:00 UTC 2011 年 12 月 31 日 (土) 9 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiJanuary 11, 2012 06:16:01 UTC 2012 年 1 月 11 日 (水) 15 時 16 分 1 秒 (日本時間)
4511e6600 / 2910Dmitry DomanovFebruary 10, 2012 13:46:10 UTC 2012 年 2 月 10 日 (金) 22 時 46 分 10 秒 (日本時間)
5043e6300 / 7330Dmitry DomanovFebruary 29, 2012 18:02:22 UTC 2012 年 3 月 1 日 (木) 3 時 2 分 22 秒 (日本時間)

86×10247-419

c243

name 名前Wataru Sakai
date 日付January 9, 2012 03:13:20 UTC 2012 年 1 月 9 日 (月) 12 時 13 分 20 秒 (日本時間)
composite number 合成数
342373997411493335849384105008493661900900244558542569628321177065878728741461053166302595712442468229882641359654727766889488441493658317916550717333240971975892093270639080877098483880355416058057075337805693201845793955347264770153586586583<243>
prime factors 素因数
402489428102824648790211399500228007617<39>
composite cofactor 合成数の残り
850640969690330541786083899114148066550518710164536771896366551746759735036986081389660977605610515207489168537362273590586690989207481954223168133253716615054078864041062708626713066363663361396704872599<204>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3609518625
Step 1 took 40884ms
Step 2 took 13828ms
********** Factor found in step 2: 402489428102824648790211399500228007617
Found probable prime factor of 39 digits: 402489428102824648790211399500228007617
Composite cofactor 850640969690330541786083899114148066550518710164536771896366551746759735036986081389660977605610515207489168537362273590586690989207481954223168133253716615054078864041062708626713066363663361396704872599 has 204 digits
software ソフトウェア
GMP-ECM 6.3

c204

name 名前Dmitry Domanov
date 日付February 12, 2012 08:56:11 UTC 2012 年 2 月 12 日 (日) 17 時 56 分 11 秒 (日本時間)
composite number 合成数
850640969690330541786083899114148066550518710164536771896366551746759735036986081389660977605610515207489168537362273590586690989207481954223168133253716615054078864041062708626713066363663361396704872599<204>
prime factors 素因数
25266680193048753658642087334980256135051<41>
33666511120220485239560756737873471861190484826643182260696836771925729709908501071426635743050997408555184997871738306795722213709790697477751974580087230878250149<164>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=351393774
Step 1 took 137363ms
Step 2 took 43329ms
********** Factor found in step 2: 25266680193048753658642087334980256135051
Found probable prime factor of 41 digits: 25266680193048753658642087334980256135051

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 31, 2011 00:00:00 UTC 2011 年 12 月 31 日 (土) 9 時 0 分 0 秒 (日本時間)
403e61854Wataru SakaiJanuary 9, 2012 03:12:57 UTC 2012 年 1 月 9 日 (月) 12 時 12 分 57 秒 (日本時間)
4511e6600 / 4065Dmitry DomanovFebruary 10, 2012 13:46:19 UTC 2012 年 2 月 10 日 (金) 22 時 46 分 19 秒 (日本時間)

86×10251-419

c177

composite cofactor 合成数の残り
340407982764567920077530420945715409261922988010705361709274066656560948140425447848100169257627144496949939611577444785332931448857343364238812767732333230926515416575646397851<177>

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 JeancolasMarch 24, 2021 04:49:47 UTC 2021 年 3 月 24 日 (水) 13 時 49 分 47 秒 (日本時間)
403e62023587Marlon TrifunovicFebruary 17, 2022 10:43:43 UTC 2022 年 2 月 17 日 (木) 19 時 43 分 43 秒 (日本時間)
1436ebinaAugust 13, 2022 14:35:18 UTC 2022 年 8 月 13 日 (土) 23 時 35 分 18 秒 (日本時間)

86×10253-419

c243

composite cofactor 合成数の残り
141207437044075074163655094136504859039194450928816506568955246392290596452986770501119281238783757861146128843727305632127340685334557168946689825218260458642206072680721910162218491241517568679507698606754837211239520038003062141122360609833<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 JeancolasMarch 24, 2021 04:59:44 UTC 2021 年 3 月 24 日 (水) 13 時 59 分 44 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 21, 2022 17:55:14 UTC 2022 年 2 月 22 日 (火) 2 時 55 分 14 秒 (日本時間)

86×10254-419

c238

composite cofactor 合成数の残り
2651761097066217616245254751271215094546625823207100386157907710383355490852196190246664756786460248931496257862822435191394927840731333571316976794515146562990869882309921973846779119617806070458581851279625125089975890018743270407811259<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 JeancolasMarch 24, 2021 04:59:26 UTC 2021 年 3 月 24 日 (水) 13 時 59 分 26 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 19, 2022 07:31:31 UTC 2022 年 2 月 19 日 (土) 16 時 31 分 31 秒 (日本時間)

86×10255-419

c181

composite cofactor 合成数の残り
8575731752468073344429381283496784012220224692830804857191719257706325372493315488159774507011360625680144923844300352184544916467848465219231479736746956039377365788152891130552661<181>

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 JeancolasMarch 24, 2021 04:59:06 UTC 2021 年 3 月 24 日 (水) 13 時 59 分 6 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 17, 2022 16:28:01 UTC 2022 年 2 月 18 日 (金) 1 時 28 分 1 秒 (日本時間)

86×10257-419

c216

composite cofactor 合成数の残り
326753493159207517501080379412420109384725635994864384167445529211723047081145822854994626010992274159985090698392652532413610681691101019695883584154629294930188977757865464220352251500490858886739412278955339764403<216>

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 JeancolasMarch 24, 2021 04:58:43 UTC 2021 年 3 月 24 日 (水) 13 時 58 分 43 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 19, 2022 16:28:48 UTC 2022 年 2 月 20 日 (日) 1 時 28 分 48 秒 (日本時間)

86×10260-419

c192

composite cofactor 合成数の残り
104510697155517205842527304283746803649638559714670176080656603338170741792642519814635649745756068649954339593835297692541135328137548132516782021686505214585295108671301977623303692827959239<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--
351e61200Eric JeancolasMarch 24, 2021 04:58:22 UTC 2021 年 3 月 24 日 (水) 13 時 58 分 22 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 18, 2022 00:41:09 UTC 2022 年 2 月 18 日 (金) 9 時 41 分 9 秒 (日本時間)

86×10264-419

c215

composite cofactor 合成数の残り
44330009546749165924940139291180074285601614618706853299350029615843527787091220304410897210133092825484273610513882199176061668359563648883192275269415894116366190593603179399294688028959507484163323936334490666293<215>

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 JeancolasMarch 24, 2021 04:57:59 UTC 2021 年 3 月 24 日 (水) 13 時 57 分 59 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 19, 2022 00:04:56 UTC 2022 年 2 月 19 日 (土) 9 時 4 分 56 秒 (日本時間)

86×10265-419

c257

composite cofactor 合成数の残り
29346634338273688771494735060463549282754370013470162148336628863628000132528991183722979324319923606517661162556650036133389887532657762625021231057214478839248261475412403448550586926819144805791522006028511952791809390691416003456694196058105893606331251<257>

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 JeancolasMarch 24, 2021 04:57:38 UTC 2021 年 3 月 24 日 (水) 13 時 57 分 38 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 6, 2022 04:13:03 UTC 2022 年 3 月 6 日 (日) 13 時 13 分 3 秒 (日本時間)

86×10266-419

c243

composite cofactor 合成数の残り
497650309393461620809708979224171934911782395819438741621928442109698796377329935394471634959109896039356565170638056404940630658762104551178009885946059337065256122327717907011264070814585629809567877908328477069975548535739017388204191689799<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 JeancolasMarch 24, 2021 04:56:06 UTC 2021 年 3 月 24 日 (水) 13 時 56 分 6 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 20, 2022 17:36:20 UTC 2022 年 2 月 21 日 (月) 2 時 36 分 20 秒 (日本時間)

86×10267-419

c239

composite cofactor 合成数の残り
26506114188720605150048204427391025778045649290240795562669572509662461409221019652109453973356422640488365264680289587717675741357271854698273157693042522437356676512111531085816872905848586294002655631039026260608393015908055109813139647<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 JeancolasMarch 24, 2021 04:52:31 UTC 2021 年 3 月 24 日 (水) 13 時 52 分 31 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 22, 2022 17:29:34 UTC 2022 年 2 月 23 日 (水) 2 時 29 分 34 秒 (日本時間)

86×10268-419

c226

composite cofactor 合成数の残り
7665280824775972305675415867366224751448151356734969389959318165872409086965249759543813516763735522966161199185192108102879947206221228589097402601647591268129814314453254088577829754631128062200805848247865089781385465606063<226>

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 JeancolasMarch 24, 2021 04:52:03 UTC 2021 年 3 月 24 日 (水) 13 時 52 分 3 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 20, 2022 06:32:16 UTC 2022 年 2 月 20 日 (日) 15 時 32 分 16 秒 (日本時間)

86×10269-419

c217

composite cofactor 合成数の残り
1628979201137060821664832095235655389762102799926554418186359527742901425874367869114635176270146594203356231902349217815438591832904591840343254452963978556363249894749733708178404774962687118635324430855831240098059<217>

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 JeancolasMarch 26, 2021 08:21:29 UTC 2021 年 3 月 26 日 (金) 17 時 21 分 29 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 20, 2022 07:11:02 UTC 2022 年 2 月 20 日 (日) 16 時 11 分 2 秒 (日本時間)

86×10270-419

c228

composite cofactor 合成数の残り
672521903580381667697660199777630056806019345258002053091755916812479785370375408228761584494599914656172278640483982992181508915698748040254771948976631086659448549886131347729886234512384933480510933628619655092753829040404593<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 JeancolasMarch 26, 2021 08:21:09 UTC 2021 年 3 月 26 日 (金) 17 時 21 分 9 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 20, 2022 06:48:28 UTC 2022 年 2 月 20 日 (日) 15 時 48 分 28 秒 (日本時間)

86×10273-419

c263

composite cofactor 合成数の残り
15616911770820290930017514378792091496638431056241869333803885672387675692519075148382977350099081287345316808545769877456537651637386477011408756271022992851133671842705211126362313251284626672380055823009961479383965906851314544230541947128174932759576801939993<263>

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 JeancolasMarch 26, 2021 08:20:47 UTC 2021 年 3 月 26 日 (金) 17 時 20 分 47 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 5, 2022 17:04:22 UTC 2022 年 3 月 6 日 (日) 2 時 4 分 22 秒 (日本時間)

86×10274-419

c224

composite cofactor 合成数の残り
18279313411049322727191583618424716955819780784133711941795550984876645428799949893586629976551484853558162776415155553541653807330446185097815019128880742639314289758009702717081601247868731153527852421539916705267194911437<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 JeancolasMarch 26, 2021 08:20:28 UTC 2021 年 3 月 26 日 (金) 17 時 20 分 28 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 16, 2022 08:29:38 UTC 2022 年 2 月 16 日 (水) 17 時 29 分 38 秒 (日本時間)

86×10275-419

c225

composite cofactor 合成数の残り
633079378951383414204487182944055493213327104028937984187679505399334383435018900585019724432513150368284843599331040124531416887548731181103438301893146685026293154047305574209142955008205746673669908911027247864795092314441<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 JeancolasMarch 26, 2021 08:20:10 UTC 2021 年 3 月 26 日 (金) 17 時 20 分 10 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 21, 2022 00:49:49 UTC 2022 年 2 月 21 日 (月) 9 時 49 分 49 秒 (日本時間)

86×10276-419

c259

composite cofactor 合成数の残り
7744868376589206465083945161236842732484235179203880311760996359790631055109805933212453283236038309990420595544336673546636780896160552785756843142175798439982912941645259911347905929814266590238754206801649610593229597392557857217145242969520018655632013919<259>

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 JeancolasMarch 26, 2021 08:19:54 UTC 2021 年 3 月 26 日 (金) 17 時 19 分 54 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 6, 2022 22:16:32 UTC 2022 年 3 月 7 日 (月) 7 時 16 分 32 秒 (日本時間)

86×10278-419

c273

composite cofactor 合成数の残り
812644675556810430124322351196491718442054324162638169674727629380355600080924290714750285157961588554032035776020386420102712617376365325736806501081809600943272582474221446241050632393471968625111986688502240111744312503076946773002167398944563553585553672298766736109989<273>

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 JeancolasMarch 26, 2021 08:19:32 UTC 2021 年 3 月 26 日 (金) 17 時 19 分 32 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 8, 2022 22:02:23 UTC 2022 年 3 月 9 日 (水) 7 時 2 分 23 秒 (日本時間)

86×10279-419

c267

composite cofactor 合成数の残り
422556065503079882004323534473551403910248441756471971954972864526701785501896218513572228325883024839582408501116700178202686664065537885745738233221240775746679125301655902373614385728094293610765267629545897762070016826202216546362197878651400230373541673662513587<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 JeancolasMarch 26, 2021 08:19:13 UTC 2021 年 3 月 26 日 (金) 17 時 19 分 13 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 2, 2022 07:02:28 UTC 2022 年 3 月 2 日 (水) 16 時 2 分 28 秒 (日本時間)

86×10281-419

c259

composite cofactor 合成数の残り
1742729675724974863027400469786319305807443515497911664284716082293909986804292687643599439031318388810920497291960150474622009919634225718464284037542951568167105267883580308932762894757949576230136401358369092306768456409361741295999242208984301534954427163<259>

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 JeancolasMarch 26, 2021 08:18:54 UTC 2021 年 3 月 26 日 (金) 17 時 18 分 54 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 5, 2022 22:28:15 UTC 2022 年 3 月 6 日 (日) 7 時 28 分 15 秒 (日本時間)

86×10284-419

c249

composite cofactor 合成数の残り
140362624613084557771890355752868826743659380511629653826348103223888754293052391143752351860238349527999741307973108466116502036450797759177444533167404753741599346794772580733075059827328513558722826332487385323807797645575720722712206745291090867<249>

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 JeancolasMarch 26, 2021 08:17:19 UTC 2021 年 3 月 26 日 (金) 17 時 17 分 19 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 2, 2022 19:46:36 UTC 2022 年 3 月 3 日 (木) 4 時 46 分 36 秒 (日本時間)

86×10285-419

c242

composite cofactor 合成数の残り
16536035980201514831426159742418168617092028574364451483117955973779644001401239182661044699384252104665978131591637744804709278554443506131353993001371167290409300773652812938397302040389493590541399523738369404065459226627530792080501325457<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 JeancolasMarch 26, 2021 08:16:57 UTC 2021 年 3 月 26 日 (金) 17 時 16 分 57 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 22, 2022 23:17:16 UTC 2022 年 2 月 23 日 (水) 8 時 17 分 16 秒 (日本時間)

86×10286-419

c268

composite cofactor 合成数の残り
9208549628348539458014305874122060388280480391326059096497590400658883774130679634255648550478770760204150418514679125886583601824031914043512572349675686690333872593481841036270854159955395991013660948473501644499233688854643956783788161503667959751381232551012145667<268>

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 JeancolasMarch 26, 2021 08:16:40 UTC 2021 年 3 月 26 日 (金) 17 時 16 分 40 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 24, 2022 03:58:51 UTC 2022 年 2 月 24 日 (木) 12 時 58 分 51 秒 (日本時間)

86×10288-419

c219

name 名前Eric Jeancolas
date 日付March 25, 2021 21:11:48 UTC 2021 年 3 月 26 日 (金) 6 時 11 分 48 秒 (日本時間)
composite number 合成数
869345389919334181072037825056374746499690330026610734066265887183499678969270111173567197768884631136433806141686600451252811886126392114196411602375801759395169082535412775333640696202178547276743833769178791017657641<219>
prime factors 素因数
60538753528020757073643963208010915534417<41>
composite cofactor 合成数の残り
14360146835810750464889036128799724302321421522456023230579128320300716691398646026386430137103490316597414474888012431408017524160653431608177934595973439982922497957389075235673<179>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 869345389919334181072037825056374746499690330026610734066265887183499678969270111173567197768884631136433806141686600451252811886126392114196411602375801759395169082535412775333640696202178547276743833769178791017657641 (219 digits)
Run 82 out of 1200:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1173649068
Step 1 took 4049ms
Step 2 took 2139ms
********** Factor found in step 2: 60538753528020757073643963208010915534417
Found prime factor of 41 digits: 60538753528020757073643963208010915534417
Composite cofactor 14360146835810750464889036128799724302321421522456023230579128320300716691398646026386430137103490316597414474888012431408017524160653431608177934595973439982922497957389075235673 has 179 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 [5.4.0-48-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)

c179

name 名前Ignacio Santos
date 日付March 28, 2021 16:35:41 UTC 2021 年 3 月 29 日 (月) 1 時 35 分 41 秒 (日本時間)
composite number 合成数
14360146835810750464889036128799724302321421522456023230579128320300716691398646026386430137103490316597414474888012431408017524160653431608177934595973439982922497957389075235673<179>
prime factors 素因数
2865790655249132826023709555040468279229<40>
composite cofactor 合成数の残り
5010884800502768955278252601171671872159521615084255039367058616444757176631913633390978777398927590248150736769315726290306071779227749837<139>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:905299308
Step 1 took 30860ms
Step 2 took 13344ms
********** Factor found in step 2: 2865790655249132826023709555040468279229
Found prime factor of 40 digits: 2865790655249132826023709555040468279229
Composite cofactor 5010884800502768955278252601171671872159521615084255039367058616444757176631913633390978777398927590248150736769315726290306071779227749837 has 139 digits
 
software ソフトウェア
GMP-ECM

c139

name 名前Eric Jeancolas
date 日付March 29, 2021 17:39:14 UTC 2021 年 3 月 30 日 (火) 2 時 39 分 14 秒 (日本時間)
composite number 合成数
5010884800502768955278252601171671872159521615084255039367058616444757176631913633390978777398927590248150736769315726290306071779227749837<139>
prime factors 素因数
184639830252869087152350518163838267670890186972920853<54>
27138699129219469493501133818724785246828121630632087280893420330596453892954791616729<86>
factorization results 素因数分解の結果
5010884800502768955278252601171671872159521615084255039367058616444757176631913633390978777398927590248150736769315726290306071779227749837=184639830252869087152350518163838267670890186972920853*27138699129219469493501133818724785246828121630632087280893420330596453892954791616729

cado polynomial
n: 5010884800502768955278252601171671872159521615084255039367058616444757176631913633390978777398927590248150736769315726290306071779227749837
skew: 55758.526
c0: 466391969934901701018107822640
c1: 1477280029663138344136922
c2: -1819278106888798290435
c3: -5724455321505525
c4: 17527104104
c5: 1420320
Y0: -426388623522828445948734197
Y1: 46293852930167258831
# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=2.023e+14) = 2.747e-07
# f(x) = 1420320*x^5+17527104104*x^4-5724455321505525*x^3-1819278106888798290435*x^2+1477280029663138344136922*x+466391969934901701018107822640
# g(x) = 46293852930167258831*x-426388623522828445948734197

cado parameters (extacts)
tasks.I = 13
tasks.lim0 = 9457107
tasks.lim1 = 12662444
tasks.lpb0 = 28
tasks.lpb1 = 29
tasks.sieve.mfb0 = 58
tasks.sieve.mfb1 = 58
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 27138699129219469493501133818724785246828121630632087280893420330596453892954791616729 184639830252869087152350518163838267670890186972920853
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 65655.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66537/40.850/49.907/54.370/0.942
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 54578/39.880/44.552/50.770/1.044
Info:Polynomial Selection (size optimized): Total time: 22622.7
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6823.85
Info:Polynomial Selection (root optimized): Rootsieve time: 6819.96
Info:Generate Factor Base: Total cpu/real time for makefb: 11.3/3.01759
Info:Generate Free Relations: Total cpu/real time for freerel: 466.17/117.318
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 33186428
Info:Lattice Sieving: Average J: 3776.79 for 850263 special-q, max bucket fill -bkmult 1.0,1s:1.137890
Info:Lattice Sieving: Total time: 373487s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 64.98/205.171
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 204.79999999999998s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 430.43/481.102
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 456.7s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 207.68/275.422
Info:Filtering - Merging: Merged matrix has 1870065 rows and total weight 319172639 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 268.34/96.3727
Info:Filtering - Merging: Total cpu/real time for replay: 74.37/64.3279
Info:Linear Algebra: Total cpu/real time for bwc: 58742.3/15149.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 9696.52, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (58624 iterations)
Info:Linear Algebra: Lingen CPU time 371.85, WCT time 107.83
Info:Linear Algebra: Mksol: WCT time 5234.73, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (29440 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 74.25/31.0966
Info:Square Root: Total cpu/real time for sqrt: 1596.73/425.174
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 740485/65947.6
Info:root: Cleaning up computation data in /tmp/cado.2a7xlsot
27138699129219469493501133818724785246828121630632087280893420330596453892954791616729 184639830252869087152350518163838267670890186972920853
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
3 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
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--
351e698682Eric JeancolasMarch 25, 2021 21:09:50 UTC 2021 年 3 月 26 日 (金) 6 時 9 分 50 秒 (日本時間)
904Ignacio SantosMarch 28, 2021 14:52:44 UTC 2021 年 3 月 28 日 (日) 23 時 52 分 44 秒 (日本時間)
403e62350Ignacio SantosMarch 28, 2021 14:52:44 UTC 2021 年 3 月 28 日 (日) 23 時 52 分 44 秒 (日本時間)

86×10289-419

c242

composite cofactor 合成数の残り
69212521116622576078921429240083590299738810695453035575539575624565155334957844000082429092558252486891626423455271138697406693135498439842996471470344601338951346329907358301976245961598143626829115630428070425501185295811452160161249471999<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 JeancolasMarch 26, 2021 08:16:16 UTC 2021 年 3 月 26 日 (金) 17 時 16 分 16 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 20, 2022 15:26:13 UTC 2022 年 2 月 21 日 (月) 0 時 26 分 13 秒 (日本時間)

86×10290-419

c253

composite cofactor 合成数の残り
2398833739060022928818391261075903692290547191139050223020177564519112959884961316934696894463629726817217191424815116198474584876101689795216885436577578543646513785873663289406726869852338085116301552944295715592058350056452641138986308773912029703961<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 JeancolasMarch 26, 2021 08:15:49 UTC 2021 年 3 月 26 日 (金) 17 時 15 分 49 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 16, 2022 08:29:46 UTC 2022 年 2 月 16 日 (水) 17 時 29 分 46 秒 (日本時間)

86×10291-419

c178

name 名前Ignacio Santos
date 日付March 2, 2021 18:26:29 UTC 2021 年 3 月 3 日 (水) 3 時 26 分 29 秒 (日本時間)
composite number 合成数
6399331206221559972368389850687541188375194171836897414733346545853997011030781791884407156547787484720783971848488118442390859308685914621045930080030968455795147174599810615021<178>
prime factors 素因数
13534201985777968960767870993130943<35>
composite cofactor 合成数の残り
472826636764111772279098743680600667300883804954452621011443182082085420319492204819916229027152715496707908285049058488799390556464826534884947<144>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3096064875
Step 1 took 5531ms
********** Factor found in step 2: 13534201985777968960767870993130943
Found prime factor of 35 digits: 13534201985777968960767870993130943
Composite cofactor 472826636764111772279098743680600667300883804954452621011443182082085420319492204819916229027152715496707908285049058488799390556464826534884947 has 144 digits
 
software ソフトウェア
GMP-ECM

c144

name 名前Eric Jeancolas
date 日付March 26, 2021 05:13:09 UTC 2021 年 3 月 26 日 (金) 14 時 13 分 9 秒 (日本時間)
composite number 合成数
472826636764111772279098743680600667300883804954452621011443182082085420319492204819916229027152715496707908285049058488799390556464826534884947<144>
prime factors 素因数
35048704096309149744108427875018589812908149673728242023<56>
13490559749794098897475266048913776470794460917842249952041064497298471820764546104206389<89>
factorization results 素因数分解の結果
472826636764111772279098743680600667300883804954452621011443182082085420319492204819916229027152715496707908285049058488799390556464826534884947 =35048704096309149744108427875018589812908149673728242023*13490559749794098897475266048913776470794460917842249952041064497298471820764546104206389

cado log
n: 472826636764111772279098743680600667300883804954452621011443182082085420319492204819916229027152715496707908285049058488799390556464826534884947
skew: 971585.354
c0: 21820898124564123652409863511067525
c1: -59318696956916682658811955640
c2: -69268414235666188791818
c3: 30402081445624389
c4: 48812812962
c5: 29520
Y0: -6907611074274489831902332952
Y1: 76621469147796575959
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 1.877e-07
# f(x) = 29520*x^5+48812812962*x^4+30402081445624389*x^3-69268414235666188791818*x^2-59318696956916682658811955640*x+21820898124564123652409863511067525
# g(x) = 76621469147796575959*x-6907611074274489831902332952

cado parameters (extracts)
tasks.lim0 = 10000000
tasks.lim1 = 20000000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 58
tasks.sieve.mfb1 = 87
tasks.I = 13
tasks.linalg.characters.nchar = 50
tasks.linalg.m = 64
tasks.linalg.n = 64

cado log (extracts)
Info:Square Root: Factors: 35048704096309149744108427875018589812908149673728242023 13490559749794098897475266048913776470794460917842249952041064497298471820764546104206389
Info:Square Root: Total cpu/real time for sqrt: 5106.29/1529.15
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): 78765/43.570/51.766/56.910/0.914
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 64668/42.460/46.293/52.600/1.105
Info:Polynomial Selection (size optimized): Total time: 38318
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5551.27
Info:Polynomial Selection (root optimized): Rootsieve time: 5546.69
Info:Generate Factor Base: Total cpu/real time for makefb: 17.78/4.73193
Info:Generate Free Relations: Total cpu/real time for freerel: 469.29/118.176
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 48216764
Info:Lattice Sieving: Average J: 3867.35 for 1012915 special-q, max bucket fill -bkmult 1.0,1s:1.086910
Info:Lattice Sieving: Total time: 1.45259e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 94.17/267.487
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 266.7s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 923.8/896.002
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 790.5000000000001s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 793.76/854.851
Info:Filtering - Merging: Merged matrix has 3263890 rows and total weight 560703589 (171.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 459.14/133.7
Info:Filtering - Merging: Total cpu/real time for replay: 138.03/123.23
Info:Linear Algebra: Total cpu/real time for bwc: 193125/49429.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 31696.2, iteration CPU time 0.29, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (102400 iterations)
Info:Linear Algebra: Lingen CPU time 680.33, WCT time 195.97
Info:Linear Algebra: Mksol: WCT time 17129.98, iteration CPU time 0.32, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (51200 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 130.13/54.7351
Info:Square Root: Total cpu/real time for sqrt: 5106.29/1529.15
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.7075e+06/823.953
35048704096309149744108427875018589812908149673728242023 13490559749794098897475266048913776470794460917842249952041064497298471820764546104206389
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
5 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
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--
351e6904Ignacio SantosFebruary 27, 2021 17:37:12 UTC 2021 年 2 月 28 日 (日) 2 時 37 分 12 秒 (日本時間)
403e62350Ignacio SantosMarch 3, 2021 18:20:39 UTC 2021 年 3 月 4 日 (木) 3 時 20 分 39 秒 (日本時間)
4511e64480Ignacio SantosMarch 6, 2021 11:21:05 UTC 2021 年 3 月 6 日 (土) 20 時 21 分 5 秒 (日本時間)

86×10292-419

c260

composite cofactor 合成数の残り
92096923845076737514365192227976744091491684910878154681064702652701619959433303274817877928961079963124431229299164959191265729836043577382429128279538788326847905789166879861429210708779401085974884626773180434330273873316251859007436783806592639438058264641<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 JeancolasMarch 26, 2021 08:15:29 UTC 2021 年 3 月 26 日 (金) 17 時 15 分 29 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 5, 2022 21:51:30 UTC 2022 年 3 月 6 日 (日) 6 時 51 分 30 秒 (日本時間)

86×10293-419

c249

composite cofactor 合成数の残り
137994580938725235380242633455209339325579338683334516304295520554318644822414805522138047182395094986354841565861332053774482482740375591253805028302083906135295128047321944793476522257564009271103299503017584708441485807695372767843735505562640649<249>

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--
351e6120012Eric JeancolasMarch 27, 2021 04:52:37 UTC 2021 年 3 月 27 日 (土) 13 時 52 分 37 秒 (日本時間)
1188Eric JeancolasMarch 27, 2021 04:52:59 UTC 2021 年 3 月 27 日 (土) 13 時 52 分 59 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 3, 2022 23:13:03 UTC 2022 年 3 月 4 日 (金) 8 時 13 分 3 秒 (日本時間)

86×10294-419

c228

composite cofactor 合成数の残り
846028707295598024811803795133888522020826799339479724533498300128871687477222063925001371632923290547921949446336143280490821941508658031371700323860519314456555259534002764077827624485861685817369629704772949555422397890637413<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 JeancolasMarch 27, 2021 04:52:24 UTC 2021 年 3 月 27 日 (土) 13 時 52 分 24 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 22, 2022 09:36:21 UTC 2022 年 2 月 22 日 (火) 18 時 36 分 21 秒 (日本時間)

86×10295-419

c264

composite cofactor 合成数の残り
945801695773153710713754072658338014125266787036123466772519536553178291105799900301861546702676068963242215689995665771532261485520113061028921198418816176873222244073220668444577537990468166353700525854644243244801770955748942061752804248752198979078655272133727<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 JeancolasMarch 27, 2021 04:52:05 UTC 2021 年 3 月 27 日 (土) 13 時 52 分 5 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 6, 2022 10:16:25 UTC 2022 年 3 月 6 日 (日) 19 時 16 分 25 秒 (日本時間)

86×10297-419

c287

name 名前Eric Jeancolas
date 日付March 26, 2021 16:14:25 UTC 2021 年 3 月 27 日 (土) 1 時 14 分 25 秒 (日本時間)
composite number 合成数
24963495447512227345830900710363913542474303741798565163312801785393601682168437769759009732339487224879623332602827875184928004513973566047840221354443556880220008302669960509872601321335857244949171223486323916883057694414339811956286114279301126130999770249859767189798600049481872439<287>
prime factors 素因数
850856003899642517194602101411295667<36>
composite cofactor 合成数の残り
29339271666532945799872240858313688774098715825449213032740903769990398518043875480476256947733614268129087599871851079882136315703540861374513251434422204569980704855388823381089837781356661589778403146870828206015136339130964051897977151324797438317<251>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 24963495447512227345830900710363913542474303741798565163312801785393601682168437769759009732339487224879623332602827875184928004513973566047840221354443556880220008302669960509872601321335857244949171223486323916883057694414339811956286114279301126130999770249859767189798600049481872439 (287 digits)
Run 428 out of 1200:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:339300600
Step 1 took 6083ms
Step 2 took 3050ms
********** Factor found in step 2: 850856003899642517194602101411295667
Found prime factor of 36 digits: 850856003899642517194602101411295667
Composite cofactor 29339271666532945799872240858313688774098715825449213032740903769990398518043875480476256947733614268129087599871851079882136315703540861374513251434422204569980704855388823381089837781356661589778403146870828206015136339130964051897977151324797438317 has 251 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 [5.4.0-48-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
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--
351e61200428Eric JeancolasMarch 26, 2021 16:12:38 UTC 2021 年 3 月 27 日 (土) 1 時 12 分 38 秒 (日本時間)
772Eric JeancolasMay 21, 2021 15:28:27 UTC 2021 年 5 月 22 日 (土) 0 時 28 分 27 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 5, 2022 05:24:02 UTC 2022 年 3 月 5 日 (土) 14 時 24 分 2 秒 (日本時間)

86×10298-419

c291

composite cofactor 合成数の残り
940437746060683707361445189318161211808974860077106643894032257742982368516761740712694189773629428145581175933877454647633007152014842872082398102167759197800741277307861266418117062521573136135960510914063814656446920931967113928688843083228168608997031662442608515315391200543372682112519<291>

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 JeancolasMarch 27, 2021 04:51:45 UTC 2021 年 3 月 27 日 (土) 13 時 51 分 45 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 11, 2022 02:24:45 UTC 2022 年 3 月 11 日 (金) 11 時 24 分 45 秒 (日本時間)