Table of contents 目次

67×10110-319

c91

name 名前Jo Yeong Uk
date 日付November 3, 2009 13:51:23 UTC 2009 年 11 月 3 日 (火) 22 時 51 分 23 秒 (日本時間)
composite number 合成数
4386800257339265571199285250527432245987346642377889940905440634181278349895045122702690759<91>
prime factors 素因数
275211394124960265212782044900640703<36>
15939747957337225794603273784899858020247830193184194553<56>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 4386800257339265571199285250527432245987346642377889940905440634181278349895045122702690759 (91 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3447484428
Step 1 took 2948ms
Step 2 took 3432ms
********** Factor found in step 2: 275211394124960265212782044900640703
Found probable prime factor of 36 digits: 275211394124960265212782044900640703
Probable prime cofactor 15939747957337225794603273784899858020247830193184194553 has 56 digits
execution environment 実行環境
Core 2 Quad Q6600

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)

67×10114-319

c112

name 名前Jo Yeong Uk
date 日付November 3, 2009 15:20:13 UTC 2009 年 11 月 4 日 (水) 0 時 20 分 13 秒 (日本時間)
composite number 合成数
3416449951557799194329712916220488501351282443526592218652796899699148437101626638111264086482076385701901993779<112>
prime factors 素因数
13079519603592591828724136575259833<35>
261206072937066617575379951763202353709110249235984400041972053868280867577163<78>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 3416449951557799194329712916220488501351282443526592218652796899699148437101626638111264086482076385701901993779 (112 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2024510530
Step 1 took 3463ms
Step 2 took 3791ms
********** Factor found in step 2: 13079519603592591828724136575259833
Found probable prime factor of 35 digits: 13079519603592591828724136575259833
Probable prime cofactor 261206072937066617575379951763202353709110249235984400041972053868280867577163 has 78 digits
execution environment 実行環境
Core 2 Quad Q6600

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)

67×10115-319

c92

name 名前Robert Backstrom
date 日付November 3, 2009 21:31:12 UTC 2009 年 11 月 4 日 (水) 6 時 31 分 12 秒 (日本時間)
composite number 合成数
96074614955509853374734392658394094992047014932306016222428043900796653215149734058090779771<92>
prime factors 素因数
13606100517264678251735534718702197189<38>
7061142524531661338165749232263043327688308648736184639<55>
factorization results 素因数分解の結果
Wed Nov 04 03:16:06 2009  
Wed Nov 04 03:16:06 2009  
Wed Nov 04 03:16:06 2009  Msieve v. 1.43
Wed Nov 04 03:16:06 2009  random seeds: 60f2ff78 55277435
Wed Nov 04 03:16:06 2009  factoring 96074614955509853374734392658394094992047014932306016222428043900796653215149734058090779771 (92 digits)
Wed Nov 04 03:16:07 2009  searching for 15-digit factors
Wed Nov 04 03:16:07 2009  commencing quadratic sieve (92-digit input)
Wed Nov 04 03:16:08 2009  using multiplier of 29
Wed Nov 04 03:16:08 2009  using 64kb Opteron sieve core
Wed Nov 04 03:16:08 2009  sieve interval: 18 blocks of size 65536
Wed Nov 04 03:16:08 2009  processing polynomials in batches of 6
Wed Nov 04 03:16:08 2009  using a sieve bound of 1847539 (69412 primes)
Wed Nov 04 03:16:08 2009  using large prime bound of 208771907 (27 bits)
Wed Nov 04 03:16:08 2009  using double large prime bound of 944951756339680 (42-50 bits)
Wed Nov 04 03:16:08 2009  using trial factoring cutoff of 50 bits
Wed Nov 04 03:16:08 2009  polynomial 'A' values have 12 factors
Wed Nov 04 03:16:08 2009  restarting with 2240 full and 114056 partial relations
Wed Nov 04 04:40:28 2009  69576 relations (17880 full + 51696 combined from 889191 partial), need 69508
Wed Nov 04 04:40:29 2009  begin with 907071 relations
Wed Nov 04 04:40:29 2009  reduce to 175853 relations in 12 passes
Wed Nov 04 04:40:29 2009  attempting to read 175853 relations
Wed Nov 04 04:40:31 2009  recovered 175853 relations
Wed Nov 04 04:40:31 2009  recovered 157201 polynomials
Wed Nov 04 04:40:31 2009  attempting to build 69576 cycles
Wed Nov 04 04:40:31 2009  found 69576 cycles in 5 passes
Wed Nov 04 04:40:31 2009  distribution of cycle lengths:
Wed Nov 04 04:40:31 2009     length 1 : 17880
Wed Nov 04 04:40:31 2009     length 2 : 12677
Wed Nov 04 04:40:31 2009     length 3 : 12033
Wed Nov 04 04:40:31 2009     length 4 : 9369
Wed Nov 04 04:40:31 2009     length 5 : 6758
Wed Nov 04 04:40:31 2009     length 6 : 4430
Wed Nov 04 04:40:31 2009     length 7 : 2778
Wed Nov 04 04:40:31 2009     length 9+: 3651
Wed Nov 04 04:40:31 2009  largest cycle: 19 relations
Wed Nov 04 04:40:32 2009  matrix is 69412 x 69576 (17.7 MB) with weight 4370660 (62.82/col)
Wed Nov 04 04:40:32 2009  sparse part has weight 4370660 (62.82/col)
Wed Nov 04 04:40:33 2009  filtering completed in 3 passes
Wed Nov 04 04:40:33 2009  matrix is 65447 x 65511 (16.8 MB) with weight 4148934 (63.33/col)
Wed Nov 04 04:40:33 2009  sparse part has weight 4148934 (63.33/col)
Wed Nov 04 04:40:33 2009  saving the first 48 matrix rows for later
Wed Nov 04 04:40:33 2009  matrix is 65399 x 65511 (10.2 MB) with weight 3230916 (49.32/col)
Wed Nov 04 04:40:33 2009  sparse part has weight 2284762 (34.88/col)
Wed Nov 04 04:40:33 2009  matrix includes 64 packed rows
Wed Nov 04 04:40:33 2009  using block size 26204 for processor cache size 1024 kB
Wed Nov 04 04:40:33 2009  commencing Lanczos iteration
Wed Nov 04 04:40:33 2009  memory use: 10.5 MB
Wed Nov 04 04:40:42 2009  linear algebra at 36.8%, ETA 0h 0m
Wed Nov 04 04:40:58 2009  lanczos halted after 1036 iterations (dim = 65397)
Wed Nov 04 04:40:58 2009  recovered 17 nontrivial dependencies
Wed Nov 04 04:40:59 2009  prp38 factor: 13606100517264678251735534718702197189
Wed Nov 04 04:40:59 2009  prp55 factor: 7061142524531661338165749232263043327688308648736184639
Wed Nov 04 04:40:59 2009  elapsed time 01:24:53

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)

67×10118-319

c99

name 名前Erik Branger
date 日付November 3, 2009 19:57:45 UTC 2009 年 11 月 4 日 (水) 4 時 57 分 45 秒 (日本時間)
composite number 合成数
305726550475843054138201474310211542232754706418797583515046928519829271317105437137867816611297989<99>
prime factors 素因数
479267594069721891682480549097268372227422319287<48>
637903656034309727455345127696823887454307086504547<51>
factorization results 素因数分解の結果
Number: 74441_118
N=305726550475843054138201474310211542232754706418797583515046928519829271317105437137867816611297989
  ( 99 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=479267594069721891682480549097268372227422319287 (pp48)
 r2=637903656034309727455345127696823887454307086504547 (pp51)
Version: Msieve-1.40
Total time: 1.99 hours.
Scaled time: 2.01 units (timescale=1.010).
Factorization parameters were as follows:
n: 305726550475843054138201474310211542232754706418797583515046928519829271317105437137867816611297989
m: 500000000000000000000000
deg: 5
c5: 536
c0: -775
skew: 1.08
type: snfs
lss: 1
rlim: 730000
alim: 730000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 730000/730000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [365000, 715001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 95723 x 95968
Total sieving time: 1.93 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,121.000,5,0,0,0,0,0,0,0,0,730000,730000,25,25,46,46,2.2,2.2,50000
total time: 1.99 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)

67×10120-319

c100

name 名前Serge Batalov
date 日付November 5, 2009 07:20:29 UTC 2009 年 11 月 5 日 (木) 16 時 20 分 29 秒 (日本時間)
composite number 合成数
9823634061308601992262375977557460526603204910482843794627402711296077541420800355402220532262483291<100>
prime factors 素因数
248173394390078679300038958119545859112216157363<48>
39583751858057050006460477944893403895270269829507257<53>
factorization results 素因数分解の結果
SNFS difficulty: 121 digits.
Divisors found:
 r1=248173394390078679300038958119545859112216157363 (pp48)
 r2=39583751858057050006460477944893403895270269829507257 (pp53)
Version: Msieve v. 1.44 SVN130
Total time: 0.86 hours.
Scaled time: 2.06 units (timescale=2.400).
Factorization parameters were as follows:
n: 9823634061308601992262375977557460526603204910482843794627402711296077541420800355402220532262483291
m: 1000000000000000000000000
deg: 5
c5: 67
c0: -31
skew: 0.86
type: snfs
lss: 1
rlim: 750000
alim: 750000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 750000/750000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [375000, 675001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 80715 x 80940
Total sieving time: 0.79 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,121.000,5,0,0,0,0,0,0,0,0,750000,750000,25,25,46,46,2.2,2.2,50000
total time: 0.86 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)

67×10131-319

c109

name 名前Sinkiti Sibata
date 日付November 6, 2009 03:33:56 UTC 2009 年 11 月 6 日 (金) 12 時 33 分 56 秒 (日本時間)
composite number 合成数
1725234575026937588591813062917426515403728981243743236270453675510075150479189227318557947230693458787418479<109>
prime factors 素因数
323849544307374500128746883591241254838333<42>
5327271893239009943943442287524260619878365564348217121263894689563<67>
factorization results 素因数分解の結果
Number: 74441_131
N=1725234575026937588591813062917426515403728981243743236270453675510075150479189227318557947230693458787418479
  ( 109 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=323849544307374500128746883591241254838333 (pp42)
 r2=5327271893239009943943442287524260619878365564348217121263894689563 (pp67)
Version: Msieve-1.40
Total time: 4.53 hours.
Scaled time: 9.44 units (timescale=2.085).
Factorization parameters were as follows:
name: 74441_131
n: 1725234575026937588591813062917426515403728981243743236270453675510075150479189227318557947230693458787418479
m: 200000000000000000000000000
deg: 5
c5: 335
c0: -496
skew: 1.08
type: snfs
lss: 1
rlim: 1200000
alim: 1200000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [600000, 1200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 166901 x 167149
Total sieving time: 4.35 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,134.000,5,0,0,0,0,0,0,0,0,1200000,1200000,26,26,47,47,2.3,2.3,75000
total time: 4.53 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)

67×10133-319

c119

name 名前Jo Yeong Uk
date 日付November 3, 2009 14:13:56 UTC 2009 年 11 月 3 日 (火) 23 時 13 分 56 秒 (日本時間)
composite number 合成数
46765551638031908225910312923474405199786280869339065071698203645956926057134044970216126092746638328533578261081259419<119>
prime factors 素因数
8625640909763231199919977502862827<34>
119417958244208526547468954975940805596503<42>
45400961013383699554747369470928758093181399<44>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 46765551638031908225910312923474405199786280869339065071698203645956926057134044970216126092746638328533578261081259419 (119 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2597803104
Step 1 took 4212ms
Step 2 took 4119ms
********** Factor found in step 2: 8625640909763231199919977502862827
Found probable prime factor of 34 digits: 8625640909763231199919977502862827
Composite cofactor 5421690066543193864230956289682168517981529320315248970797035445413782539943179047697 has 85 digits

11/03/09 22:52:19 v1.10 @ 조영욱-PC, starting SIQS on c85: 5421690066543193864230956289682168517981529320315248970797035445413782539943179047697
11/03/09 22:52:19 v1.10 @ 조영욱-PC, random seeds: 2623786136, 2605774612
11/03/09 22:52:19 v1.10 @ 조영욱-PC, ==== sieve params ====
11/03/09 22:52:19 v1.10 @ 조영욱-PC, n = 85 digits, 282 bits
11/03/09 22:52:19 v1.10 @ 조영욱-PC, factor base: 55732 primes (max prime = 1463621)
11/03/09 22:52:19 v1.10 @ 조영욱-PC, single large prime cutoff: 160998310 (110 * pmax)
11/03/09 22:52:19 v1.10 @ 조영욱-PC, double large prime range from 42 to 50 bits
11/03/09 22:52:19 v1.10 @ 조영욱-PC, double large prime cutoff: 591940930810882
11/03/09 22:52:19 v1.10 @ 조영욱-PC, using 15 large prime slices of factor base
11/03/09 22:52:19 v1.10 @ 조영욱-PC, buckets hold 1024 elements
11/03/09 22:52:19 v1.10 @ 조영욱-PC, sieve interval: 9 blocks of size 65536
11/03/09 22:52:19 v1.10 @ 조영욱-PC, polynomial A has ~ 11 factors
11/03/09 22:52:19 v1.10 @ 조영욱-PC, using multiplier of 1
11/03/09 22:52:19 v1.10 @ 조영욱-PC, using small prime variation correction of 18 bits
11/03/09 22:52:19 v1.10 @ 조영욱-PC, using SSE2 for trial division and x128 sieve scanning
11/03/09 22:52:19 v1.10 @ 조영욱-PC, trial factoring cutoff at 94 bits
11/03/09 22:52:19 v1.10 @ 조영욱-PC, ==== sieving started ====
11/03/09 23:12:08 v1.10 @ 조영욱-PC, sieve time = 528.9270, relation time = 286.5150, poly_time = 373.1850
11/03/09 23:12:08 v1.10 @ 조영욱-PC, 55814 relations found: 18396 full + 37418 from 517693 partial, using 211761 polys (207 A polys)
11/03/09 23:12:08 v1.10 @ 조영욱-PC, on average, sieving found 2.53 rels/poly and 450.81 rels/sec
11/03/09 23:12:08 v1.10 @ 조영욱-PC, trial division touched 10174530 sieve locations out of 249803440128
11/03/09 23:12:08 v1.10 @ 조영욱-PC, ==== post processing stage (msieve-1.38) ====
11/03/09 23:12:08 v1.10 @ 조영욱-PC, begin with 536089 relations
11/03/09 23:12:08 v1.10 @ 조영욱-PC, reduce to 114934 relations in 9 passes
11/03/09 23:12:09 v1.10 @ 조영욱-PC, recovered 114934 relations
11/03/09 23:12:09 v1.10 @ 조영욱-PC, recovered 88632 polynomials
11/03/09 23:12:09 v1.10 @ 조영욱-PC, attempting to build 55814 cycles
11/03/09 23:12:09 v1.10 @ 조영욱-PC, found 55814 cycles in 4 passes
11/03/09 23:12:09 v1.10 @ 조영욱-PC, distribution of cycle lengths:
11/03/09 23:12:09 v1.10 @ 조영욱-PC,    length 1 : 18396
11/03/09 23:12:09 v1.10 @ 조영욱-PC,    length 2 : 15365
11/03/09 23:12:09 v1.10 @ 조영욱-PC,    length 3 : 10307
11/03/09 23:12:09 v1.10 @ 조영욱-PC,    length 4 : 5958
11/03/09 23:12:09 v1.10 @ 조영욱-PC,    length 5 : 3118
11/03/09 23:12:09 v1.10 @ 조영욱-PC,    length 6 : 1481
11/03/09 23:12:09 v1.10 @ 조영욱-PC,    length 7 : 700
11/03/09 23:12:09 v1.10 @ 조영욱-PC,    length 9+: 489
11/03/09 23:12:09 v1.10 @ 조영욱-PC, largest cycle: 15 relations
11/03/09 23:12:09 v1.10 @ 조영욱-PC, matrix is 55732 x 55814 (11.6 MB) with weight 2587778 (46.36/col)
11/03/09 23:12:09 v1.10 @ 조영욱-PC, sparse part has weight 2587778 (46.36/col)
11/03/09 23:12:10 v1.10 @ 조영욱-PC, filtering completed in 3 passes
11/03/09 23:12:10 v1.10 @ 조영욱-PC, matrix is 49309 x 49373 (10.4 MB) with weight 2337344 (47.34/col)
11/03/09 23:12:10 v1.10 @ 조영욱-PC, sparse part has weight 2337344 (47.34/col)
11/03/09 23:12:10 v1.10 @ 조영욱-PC, saving the first 48 matrix rows for later
11/03/09 23:12:10 v1.10 @ 조영욱-PC, matrix is 49261 x 49373 (7.0 MB) with weight 1814592 (36.75/col)
11/03/09 23:12:10 v1.10 @ 조영욱-PC, sparse part has weight 1344877 (27.24/col)
11/03/09 23:12:10 v1.10 @ 조영욱-PC, matrix includes 64 packed rows
11/03/09 23:12:10 v1.10 @ 조영욱-PC, using block size 19749 for processor cache size 4096 kB
11/03/09 23:12:10 v1.10 @ 조영욱-PC, commencing Lanczos iteration
11/03/09 23:12:10 v1.10 @ 조영욱-PC, memory use: 6.5 MB
11/03/09 23:12:19 v1.10 @ 조영욱-PC, lanczos halted after 781 iterations (dim = 49258)
11/03/09 23:12:19 v1.10 @ 조영욱-PC, recovered 15 nontrivial dependencies
11/03/09 23:12:19 v1.10 @ 조영욱-PC, prp44 = 45400961013383699554747369470928758093181399
11/03/09 23:12:20 v1.10 @ 조영욱-PC, prp42 = 119417958244208526547468954975940805596503
11/03/09 23:12:20 v1.10 @ 조영욱-PC, Lanczos elapsed time = 11.0290 seconds.
11/03/09 23:12:20 v1.10 @ 조영욱-PC, Sqrt elapsed time = 0.5610 seconds.
11/03/09 23:12:20 v1.10 @ 조영욱-PC, SIQS elapsed time = 1200.7470 seconds.
11/03/09 23:12:20 v1.10 @ 조영욱-PC, 
11/03/09 23:12:20 v1.10 @ 조영욱-PC, 
software ソフトウェア
GMP-ECM v6.2.3 / YAFU v1.10
execution environment 実行環境
Core 2 Quad Q6600

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)

67×10136-319

c99

name 名前Sinkiti Sibata
date 日付November 4, 2009 08:25:22 UTC 2009 年 11 月 4 日 (水) 17 時 25 分 22 秒 (日本時間)
composite number 合成数
889899836998668686633900800566801256698255608757109609947713814087374076702236000012655652911530303<99>
prime factors 素因数
4810783287458379447319665714720974617182731<43>
184980237899848999666716380766074086221876478826386870813<57>
factorization results 素因数分解の結果
Number: 74441_136
N=889899836998668686633900800566801256698255608757109609947713814087374076702236000012655652911530303
  ( 99 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=4810783287458379447319665714720974617182731 (pp43)
 r2=184980237899848999666716380766074086221876478826386870813 (pp57)
Version: GGNFS-0.77.1-20060513-k8
Total time: 9.69 hours.
Scaled time: 18.94 units (timescale=1.956).
Factorization parameters were as follows:
name: 74441_136
n: 889899836998668686633900800566801256698255608757109609947713814087374076702236000012655652911530303
m: 2000000000000000000000000000
deg: 5
c5: 335
c0: -496
skew: 1.08
type: snfs
lss: 1
rlim: 1450000
alim: 1450000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1450000/1450000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [725000, 1550001)
Primes: RFBsize:110630, AFBsize:110790, largePrimes:3539552 encountered
Relations: rels:3573888, finalFF:316292
Max relations in full relation-set: 28
Initial matrix: 221487 x 316292 with sparse part having weight 29442668.
Pruned matrix : 194165 x 195336 with weight 14866622.
Total sieving time: 9.16 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.34 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,139,5,0,0,0,0,0,0,0,0,1450000,1450000,26,26,48,48,2.3,2.3,75000
total time: 9.69 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)

67×10138-319

c123

name 名前Dmitry Domanov
date 日付November 4, 2009 16:46:30 UTC 2009 年 11 月 5 日 (木) 1 時 46 分 30 秒 (日本時間)
composite number 合成数
903750090252691191717440333954198932390180191786769441344692739715470950187355528108887414276522629304579395374002342803243<123>
prime factors 素因数
2155169564333464472349918628266493657340772283669081<52>
419340596308113045083191970050775890985316605601219929324602580966516003<72>
factorization results 素因数分解の結果
Number: 123-1
N=903750090252691191717440333954198932390180191786769441344692739715470950187355528108887414276522629304579395374002342803243
  ( 123 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=2155169564333464472349918628266493657340772283669081 (pp52)
 r2=419340596308113045083191970050775890985316605601219929324602580966516003 (pp72)
Version: Msieve-1.40
Total time: 6.21 hours.
Scaled time: 12.23 units (timescale=1.969).
Factorization parameters were as follows:
n: 903750090252691191717440333954198932390180191786769441344692739715470950187355528108887414276522629304579395374002342803243
m: 5000000000000000000000000000
deg: 5
c5: 536
c0: -775
skew: 1.08
type: snfs
lss: 1
rlim: 1580000
alim: 1580000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1580000/1580000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [790000, 1990001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 264792 x 265017
Total sieving time: 5.97 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.18 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,141.000,5,0,0,0,0,0,0,0,0,1580000,1580000,26,26,48,48,2.3,2.3,100000
total time: 6.21 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)

67×10144-319

c118

name 名前Jo Yeong Uk
date 日付November 4, 2009 23:02:43 UTC 2009 年 11 月 5 日 (木) 8 時 2 分 43 秒 (日本時間)
composite number 合成数
6850933569260401192979346688968304304118740526220941882187274314238921954387217432618656883866956371791087169104665217<118>
prime factors 素因数
34655482245468834228541408388489501901665410519<47>
197686862953873716181311104410965221646157892429803380406605260036919143<72>
factorization results 素因数分解の結果
Number: 74441_144
N=6850933569260401192979346688968304304118740526220941882187274314238921954387217432618656883866956371791087169104665217
  ( 118 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=34655482245468834228541408388489501901665410519
 r2=197686862953873716181311104410965221646157892429803380406605260036919143
Version: 
Total time: 7.05 hours.
Scaled time: 16.85 units (timescale=2.389).
Factorization parameters were as follows:
n: 6850933569260401192979346688968304304118740526220941882187274314238921954387217432618656883866956371791087169104665217
m: 100000000000000000000000000000
deg: 5
c5: 67
c0: -310
skew: 1.36
type: snfs
lss: 1
rlim: 2550000
alim: 2550000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2550000/2550000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1275000, 2775001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4934852
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 407050 x 407298
Total sieving time: 6.06 hours.
Total relation processing time: 0.44 hours.
Matrix solve time: 0.33 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,2550000,2550000,26,26,49,49,2.3,2.3,75000
total time: 7.05 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)

67×10145-319

c117

name 名前Jo Yeong Uk
date 日付November 5, 2009 06:05:33 UTC 2009 年 11 月 5 日 (木) 15 時 5 分 33 秒 (日本時間)
composite number 合成数
326017281616386218615956963496149396800689269848098363793483088850308834552548967331260168013696545100284199033290793<117>
prime factors 素因数
9260894445086141962651210313544909342955325247050444087<55>
35203649447637528618873300517503888994181400098044701486542239<62>
factorization results 素因数分解の結果
Number: 74441_145
N=326017281616386218615956963496149396800689269848098363793483088850308834552548967331260168013696545100284199033290793
  ( 117 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=9260894445086141962651210313544909342955325247050444087
 r2=35203649447637528618873300517503888994181400098044701486542239
Version: 
Total time: 6.29 hours.
Scaled time: 15.05 units (timescale=2.391).
Factorization parameters were as follows:
n: 326017281616386218615956963496149396800689269848098363793483088850308834552548967331260168013696545100284199033290793
m: 100000000000000000000000000000
deg: 5
c5: 67
c0: -31
skew: 0.86
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1200000, 1800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4800623
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 307282 x 307530
Total sieving time: 5.82 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 0.20 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,2400000,2400000,26,26,49,49,2.3,2.3,75000
total time: 6.29 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)

67×10147-319

c138

name 名前Jo Yeong Uk
date 日付November 6, 2009 00:54:03 UTC 2009 年 11 月 6 日 (金) 9 時 54 分 3 秒 (日本時間)
composite number 合成数
871347106946750342151715673907223653960159603609685187432378536350270402789209264962140023280103965088548237737624848609941132704889347069<138>
prime factors 素因数
3543243945117669927050599146096106098149924350703<49>
245917899090014024113532245535836223215750238360235398952104060053448988922276779413690323<90>
factorization results 素因数分解の結果
Number: 74441_147
N=871347106946750342151715673907223653960159603609685187432378536350270402789209264962140023280103965088548237737624848609941132704889347069
  ( 138 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=3543243945117669927050599146096106098149924350703
 r2=245917899090014024113532245535836223215750238360235398952104060053448988922276779413690323
Version: 
Total time: 8.99 hours.
Scaled time: 21.45 units (timescale=2.385).
Factorization parameters were as follows:
n: 871347106946750342151715673907223653960159603609685187432378536350270402789209264962140023280103965088548237737624848609941132704889347069
m: 100000000000000000000000000000
deg: 5
c5: 6700
c0: -31
skew: 0.34
type: snfs
lss: 1
rlim: 3300000
alim: 3300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1650000, 3375001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 7066652
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 456862 x 457110
Total sieving time: 7.75 hours.
Total relation processing time: 0.74 hours.
Matrix solve time: 0.44 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,148,5,0,0,0,0,0,0,0,0,3300000,3300000,27,27,49,49,2.3,2.3,75000
total time: 8.99 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)

67×10149-319

c136

name 名前Jo Yeong Uk
date 日付November 6, 2009 13:47:10 UTC 2009 年 11 月 6 日 (金) 22 時 47 分 10 秒 (日本時間)
composite number 合成数
1114304961721960173022091383380176976662874322011077839586378960447874153953371814034523514291547521078222901018637342512063392400614513<136>
prime factors 素因数
20881086487350036134625000283626100896654287<44>
53364319064384742665900100125286466593148958555660756921564191235935418790516441550676542399<92>
factorization results 素因数分解の結果
Number: 74441_149
N=1114304961721960173022091383380176976662874322011077839586378960447874153953371814034523514291547521078222901018637342512063392400614513
  ( 136 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=20881086487350036134625000283626100896654287
 r2=53364319064384742665900100125286466593148958555660756921564191235935418790516441550676542399
Version: 
Total time: 10.05 hours.
Scaled time: 23.97 units (timescale=2.386).
Factorization parameters were as follows:
n: 1114304961721960173022091383380176976662874322011077839586378960447874153953371814034523514291547521078222901018637342512063392400614513
m: 1000000000000000000000000000000
deg: 5
c5: 67
c0: -310
skew: 1.36
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 2000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 7412479
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 371929 x 372177
Total sieving time: 9.35 hours.
Total relation processing time: 0.37 hours.
Matrix solve time: 0.30 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2000000,2000000,27,27,49,49,2.4,2.4,100000
total time: 10.05 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904150Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)
754Jo Yeong UkNovember 5, 2009 15:53:07 UTC 2009 年 11 月 6 日 (金) 0 時 53 分 7 秒 (日本時間)

67×10150-319

c93

name 名前Sinkiti Sibata
date 日付November 4, 2009 05:46:03 UTC 2009 年 11 月 4 日 (水) 14 時 46 分 3 秒 (日本時間)
composite number 合成数
537103120139339161837271430024183269497567761442391196882272189956546662230998950851183593673<93>
prime factors 素因数
52149321682005352760460016522007528725573<41>
10299330898577574176970919887050802682776591407979701<53>
factorization results 素因数分解の結果
Wed Nov 04 11:38:20 2009  Msieve v. 1.42
Wed Nov 04 11:38:20 2009  random seeds: 089ec948 20f939fa
Wed Nov 04 11:38:20 2009  factoring 537103120139339161837271430024183269497567761442391196882272189956546662230998950851183593673 (93 digits)
Wed Nov 04 11:38:21 2009  searching for 15-digit factors
Wed Nov 04 11:38:21 2009  commencing quadratic sieve (93-digit input)
Wed Nov 04 11:38:21 2009  using multiplier of 5
Wed Nov 04 11:38:21 2009  using 32kb Intel Core sieve core
Wed Nov 04 11:38:21 2009  sieve interval: 36 blocks of size 32768
Wed Nov 04 11:38:21 2009  processing polynomials in batches of 6
Wed Nov 04 11:38:21 2009  using a sieve bound of 1954487 (72941 primes)
Wed Nov 04 11:38:21 2009  using large prime bound of 244310875 (27 bits)
Wed Nov 04 11:38:21 2009  using double large prime bound of 1253998370578250 (42-51 bits)
Wed Nov 04 11:38:21 2009  using trial factoring cutoff of 51 bits
Wed Nov 04 11:38:21 2009  polynomial 'A' values have 12 factors
Wed Nov 04 14:26:40 2009  73249 relations (18003 full + 55246 combined from 1003555 partial), need 73037
Wed Nov 04 14:26:42 2009  begin with 1021558 relations
Wed Nov 04 14:26:43 2009  reduce to 190009 relations in 11 passes
Wed Nov 04 14:26:43 2009  attempting to read 190009 relations
Wed Nov 04 14:26:45 2009  recovered 190009 relations
Wed Nov 04 14:26:45 2009  recovered 173099 polynomials
Wed Nov 04 14:26:46 2009  attempting to build 73249 cycles
Wed Nov 04 14:26:46 2009  found 73249 cycles in 6 passes
Wed Nov 04 14:26:46 2009  distribution of cycle lengths:
Wed Nov 04 14:26:46 2009     length 1 : 18003
Wed Nov 04 14:26:46 2009     length 2 : 12924
Wed Nov 04 14:26:46 2009     length 3 : 12314
Wed Nov 04 14:26:46 2009     length 4 : 9925
Wed Nov 04 14:26:46 2009     length 5 : 7590
Wed Nov 04 14:26:46 2009     length 6 : 5002
Wed Nov 04 14:26:46 2009     length 7 : 3092
Wed Nov 04 14:26:46 2009     length 9+: 4399
Wed Nov 04 14:26:46 2009  largest cycle: 22 relations
Wed Nov 04 14:26:46 2009  matrix is 72941 x 73249 (18.7 MB) with weight 4614755 (63.00/col)
Wed Nov 04 14:26:46 2009  sparse part has weight 4614755 (63.00/col)
Wed Nov 04 14:26:47 2009  filtering completed in 3 passes
Wed Nov 04 14:26:47 2009  matrix is 69394 x 69458 (17.8 MB) with weight 4391238 (63.22/col)
Wed Nov 04 14:26:47 2009  sparse part has weight 4391238 (63.22/col)
Wed Nov 04 14:26:47 2009  saving the first 48 matrix rows for later
Wed Nov 04 14:26:47 2009  matrix is 69346 x 69458 (10.7 MB) with weight 3426212 (49.33/col)
Wed Nov 04 14:26:47 2009  sparse part has weight 2392857 (34.45/col)
Wed Nov 04 14:26:47 2009  matrix includes 64 packed rows
Wed Nov 04 14:26:47 2009  using block size 27783 for processor cache size 1024 kB
Wed Nov 04 14:26:48 2009  commencing Lanczos iteration
Wed Nov 04 14:26:48 2009  memory use: 11.2 MB
Wed Nov 04 14:27:19 2009  lanczos halted after 1098 iterations (dim = 69346)
Wed Nov 04 14:27:19 2009  recovered 18 nontrivial dependencies
Wed Nov 04 14:27:19 2009  prp41 factor: 52149321682005352760460016522007528725573
Wed Nov 04 14:27:19 2009  prp53 factor: 10299330898577574176970919887050802682776591407979701
Wed Nov 04 14:27:19 2009  elapsed time 02:48:59

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)

67×10151-319

c115

name 名前Jo Yeong Uk
date 日付November 8, 2009 02:30:24 UTC 2009 年 11 月 8 日 (日) 11 時 30 分 24 秒 (日本時間)
composite number 合成数
9977600076084199905958097161900099571496695646133438177125099495316432470281666399300303712370663052339771363026249<115>
prime factors 素因数
8228829892112628636884835633777315487804386047416617137<55>
1212517479021868655624024510948004899355487100786836051889177<61>
factorization results 素因数分解の結果
Number: 74441_151
N=9977600076084199905958097161900099571496695646133438177125099495316432470281666399300303712370663052339771363026249
  ( 115 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=8228829892112628636884835633777315487804386047416617137
 r2=1212517479021868655624024510948004899355487100786836051889177
Version: 
Total time: 9.71 hours.
Scaled time: 23.17 units (timescale=2.387).
Factorization parameters were as follows:
n: 9977600076084199905958097161900099571496695646133438177125099495316432470281666399300303712370663052339771363026249
m: 1000000000000000000000000000000
deg: 5
c5: 670
c0: -31
skew: 0.54
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1100000, 2000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 7894010
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 428637 x 428885
Total sieving time: 8.86 hours.
Total relation processing time: 0.35 hours.
Matrix solve time: 0.38 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,2200000,2200000,27,27,50,50,2.4,2.4,100000
total time: 9.71 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)

67×10153-319

c121

name 名前Erik Branger
date 日付November 8, 2009 11:25:57 UTC 2009 年 11 月 8 日 (日) 20 時 25 分 57 秒 (日本時間)
composite number 合成数
5118578014796569030767959609696286789242595413285599606741445460908841782819618432069526246322988087219996094931712807123<121>
prime factors 素因数
6384161033655476762880992360445318917<37>
801762046385247037048308402141985803146797607769907046767693665075239890836475568119<84>
factorization results 素因数分解の結果
Number: 74441_153
N=5118578014796569030767959609696286789242595413285599606741445460908841782819618432069526246322988087219996094931712807123
  ( 121 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=6384161033655476762880992360445318917 (pp37)
 r2=801762046385247037048308402141985803146797607769907046767693665075239890836475568119 (pp84)
Version: Msieve-1.40
Total time: 26.48 hours.
Scaled time: 26.27 units (timescale=0.992).
Factorization parameters were as follows:
n: 5118578014796569030767959609696286789242595413285599606741445460908841782819618432069526246322988087219996094931712807123
m: 5000000000000000000000000000000
deg: 5
c5: 536
c0: -775
skew: 1.08
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 2700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 517516 x 517745
Total sieving time: 25.51 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.63 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,156.000,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 26.48 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
351e6950150Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)
800Erik BrangerNovember 7, 2009 21:51:02 UTC 2009 年 11 月 8 日 (日) 6 時 51 分 2 秒 (日本時間)

67×10154-319

c148

name 名前Robert Backstrom
date 日付November 14, 2009 09:42:02 UTC 2009 年 11 月 14 日 (土) 18 時 42 分 2 秒 (日本時間)
composite number 合成数
1456186407891301048633085534526984980452186261655411095560996346126198256401951299349589559407742385341006983633110278828856387112542511922292572761<148>
prime factors 素因数
19770670872949815347485142394152319553<38>
70311137559137507052774831616250832259377569867<47>
1047541994464449155489159844448139419478733450739365527434608811<64>
factorization results 素因数分解の結果
Number: n
N=1456186407891301048633085534526984980452186261655411095560996346126198256401951299349589559407742385341006983633110278828856387112542511922292572761
  ( 148 digits)
SNFS difficulty: 156 digits.
Divisors found:

Sat Nov 14 18:58:09 2009  prp38 factor: 19770670872949815347485142394152319553
Sat Nov 14 18:58:09 2009  prp47 factor: 70311137559137507052774831616250832259377569867
Sat Nov 14 18:58:09 2009  prp64 factor: 1047541994464449155489159844448139419478733450739365527434608811
Sat Nov 14 18:58:09 2009  elapsed time 00:55:11 (Msieve 1.43 - dependency 4)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 21.59 hours.
Scaled time: 39.25 units (timescale=1.818).
Factorization parameters were as follows:
name: KA_7_4_153_1
n: 1456186407891301048633085534526984980452186261655411095560996346126198256401951299349589559407742385341006983633110278828856387112542511922292572761
m: 10000000000000000000000000000000
deg: 5
c5: 67
c0: -310
skew: 1.36
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 50000
Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [1450000, 2750249)
Primes: RFBsize:210109, AFBsize:210215, largePrimes:7718909 encountered
Relations: rels:7439444, finalFF:438767
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 935880 hash collisions in 8065056 relations
Msieve: matrix is 535005 x 535232 (143.1 MB)

Total sieving time: 21.47 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 21.59 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)

67×10156-319

c126

name 名前Jo Yeong Uk
date 日付November 14, 2009 02:17:58 UTC 2009 年 11 月 14 日 (土) 11 時 17 分 58 秒 (日本時間)
composite number 合成数
375573596903421635313913662354161350696820930953190410603725173618920376118848018490033787713031094858628432879290956933623467<126>
prime factors 素因数
80153664603958430270698294749615024437<38>
53243536433576582261971256661042578792061799<44>
88004479143123417579377741641004702435368009<44>
factorization results 素因数分解の結果
Number: 74441_156
N=375573596903421635313913662354161350696820930953190410603725173618920376118848018490033787713031094858628432879290956933623467
  ( 126 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=80153664603958430270698294749615024437
 r2=53243536433576582261971256661042578792061799
 r3=88004479143123417579377741641004702435368009
Version: 
Total time: 14.44 hours.
Scaled time: 34.20 units (timescale=2.368).
Factorization parameters were as follows:
n: 375573596903421635313913662354161350696820930953190410603725173618920376118848018490033787713031094858628432879290956933623467
m: 10000000000000000000000000000000
deg: 5
c5: 670
c0: -31
skew: 0.54
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1500000, 2800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 8551031
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 530012 x 530260
Total sieving time: 13.13 hours.
Total relation processing time: 0.55 hours.
Matrix solve time: 0.61 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 14.44 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)

67×10158-319

c101

name 名前Sinkiti Sibata
date 日付November 4, 2009 09:31:16 UTC 2009 年 11 月 4 日 (水) 18 時 31 分 16 秒 (日本時間)
composite number 合成数
29613214786486185544278227521549428503432789847535163482886575624753396192189049354232057714028860899<101>
prime factors 素因数
93224551460111137035240108268625574954487489831903<50>
317654677042421270612800208132930793843765449092733<51>
factorization results 素因数分解の結果
Number: 74441_158
N=29613214786486185544278227521549428503432789847535163482886575624753396192189049354232057714028860899
  ( 101 digits)
Divisors found:
 r1=93224551460111137035240108268625574954487489831903 (pp50)
 r2=317654677042421270612800208132930793843765449092733 (pp51)
Version: Msieve-1.40
Total time: 5.22 hours.
Scaled time: 17.25 units (timescale=3.305).
Factorization parameters were as follows:
name: 74441_158
n: 29613214786486185544278227521549428503432789847535163482886575624753396192189049354232057714028860899
skew: 2475.53
# norm 7.83e+13
c5: 286800
c4: -2941514404
c3: 3174525952836
c2: 18842763152668317
c1: 16056592382406591394
c0: 4443972655071256500177
# alpha -4.91
Y1: 60202425107
Y0: -10064370379691956090
# Murphy_E 3.01e-09
# M 5135300505416392765969601109169315018788510709089396459401407529503863629792793102008601301469075470
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 214611 x 214859
Polynomial selection time: 0.55 hours.
Total sieving time: 4.53 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,100,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 5.22 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--
351e6150 / 904Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)

67×10160-319

c121

name 名前Jo Yeong Uk
date 日付November 18, 2009 09:31:30 UTC 2009 年 11 月 18 日 (水) 18 時 31 分 30 秒 (日本時間)
composite number 合成数
8358154164466588821090554087275649937241803372935761744857267124951914706311950912111526869642631543490919504968482278503<121>
prime factors 素因数
5184273162643458694917399313243984064834873060204015700713<58>
1612213304015942235676505728696547693838364040958693307596122831<64>
factorization results 素因数分解の結果
Number: 74441_160
N=8358154164466588821090554087275649937241803372935761744857267124951914706311950912111526869642631543490919504968482278503
  ( 121 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=5184273162643458694917399313243984064834873060204015700713
 r2=1612213304015942235676505728696547693838364040958693307596122831
Version: 
Total time: 17.49 hours.
Scaled time: 41.84 units (timescale=2.392).
Factorization parameters were as follows:
n: 8358154164466588821090554087275649937241803372935761744857267124951914706311950912111526869642631543490919504968482278503
m: 100000000000000000000000000000000
deg: 5
c5: 67
c0: -31
skew: 0.86
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 3200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9409654
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 652517 x 652764
Total sieving time: 15.59 hours.
Total relation processing time: 0.68 hours.
Matrix solve time: 0.91 hours.
Time per square root: 0.30 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 17.49 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673792)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672346)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672338)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672382)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)

67×10163-319

c134

name 名前Jo Yeong Uk
date 日付November 12, 2009 13:52:13 UTC 2009 年 11 月 12 日 (木) 22 時 52 分 13 秒 (日本時間)
composite number 合成数
10468301293755797423881824808300936684163049041001719203135482913387586546663127409790577743604090731829830211783508368815067239088721<134>
prime factors 素因数
2379704242579980728400961963262974523<37>
80520601705670054813859962771453621977<38>
54631889004741725520371953058841143590754460348049791924251<59>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.3.1] [ECM]
Input number is 10468301293755797423881824808300936684163049041001719203135482913387586546663127409790577743604090731829830211783508368815067239088721 (134 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4672242577
Step 1 took 3327ms
Step 2 took 2201ms
********** Factor found in step 2: 80520601705670054813859962771453621977
Found probable prime factor of 38 digits: 80520601705670054813859962771453621977
Composite cofactor 130007738044742485114119405003336802697164449362326732828807416813930485046568036276242158857273 has 96 digits

Number: 74441_163
N=130007738044742485114119405003336802697164449362326732828807416813930485046568036276242158857273
  ( 96 digits)
Divisors found:
 r1=2379704242579980728400961963262974523
 r2=54631889004741725520371953058841143590754460348049791924251
Version: 
Total time: 1.50 hours.
Scaled time: 3.46 units (timescale=2.313).
Factorization parameters were as follows:
name: 74441_163
n: 130007738044742485114119405003336802697164449362326732828807416813930485046568036276242158857273
skew: 1979.38
# norm 1.96e+13
c5: 273300
c4: 304405751
c3: 365710080704
c2: -4895444318937764
c1: -4512394773361583236
c0: 13984228209751842845
# alpha -6.07
Y1: 14191866557
Y0: -861914766383702208
# Murphy_E 6.01e-09
# M 46998393681213226899223521402912408001520722578974367414646002933959646617795624266321907021062
type: gnfs
rlim: 800000
alim: 800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 40000
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [400000, 680001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 3482298
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 128893 x 129141
Polynomial selection time: 0.10 hours.
Total sieving time: 1.21 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,95,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,800000,800000,26,26,48,48,2.5,2.5,40000
total time: 1.50 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)
software ソフトウェア
GMP-ECM v6.2.3 / GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)

67×10166-319

c164

name 名前Dmitry Domanov
date 日付November 26, 2009 18:20:42 UTC 2009 年 11 月 27 日 (金) 3 時 20 分 42 秒 (日本時間)
composite number 合成数
54698342721854845293493346395624132582251612376520532288350069393419871009878357416931994448526410319209731406645440444117887174463221487468364764470569026042942281<164>
prime factors 素因数
36877280473198598114033606344601705893521134287453029239<56>
1483253158041523948079442997084179518478110622805970858351989516224667268559875468140693529675012634339151679<109>
factorization results 素因数分解の結果
N=54698342721854845293493346395624132582251612376520532288350069393419871009878357416931994448526410319209731406645440444117887174463221487468364764470569026042942281
  ( 164 digits)
SNFS difficulty: 169 digits.
Divisors found:
 r1=36877280473198598114033606344601705893521134287453029239 (pp56)
 r2=1483253158041523948079442997084179518478110622805970858351989516224667268559875468140693529675012634339151679 (pp109)
Version: Msieve-1.40
Total time: 71.53 hours.
Scaled time: 66.81 units (timescale=0.934).
Factorization parameters were as follows:
n: 54698342721854845293493346395624132582251612376520532288350069393419871009878357416931994448526410319209731406645440444117887174463221487468364764470569026042942281
m: 2000000000000000000000000000000000
deg: 5
c5: 335
c0: -496
skew: 1.08
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor 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, 5100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 881679 x 881908
Total sieving time: 69.81 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 1.42 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,169.000,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
total time: 71.53 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6905150Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)
755juno1369November 14, 2009 20:50:29 UTC 2009 年 11 月 15 日 (日) 5 時 50 分 29 秒 (日本時間)
403e621055DieDisneyChannelNovember 18, 2009 01:45:46 UTC 2009 年 11 月 18 日 (水) 10 時 45 分 46 秒 (日本時間)
42DannyBarry1993November 18, 2009 03:00:58 UTC 2009 年 11 月 18 日 (水) 12 時 0 分 58 秒 (日本時間)
36AntiDisneyMovementNovember 19, 2009 03:08:13 UTC 2009 年 11 月 19 日 (木) 12 時 8 分 13 秒 (日本時間)
22TheDisneyRebelionNovember 20, 2009 03:08:07 UTC 2009 年 11 月 20 日 (金) 12 時 8 分 7 秒 (日本時間)
28camper12444November 21, 2009 01:35:30 UTC 2009 年 11 月 21 日 (土) 10 時 35 分 30 秒 (日本時間)
19NoMoreDisneyChannelNovember 21, 2009 07:45:14 UTC 2009 年 11 月 21 日 (土) 16 時 45 分 14 秒 (日本時間)
18tnpanNovember 21, 2009 17:14:20 UTC 2009 年 11 月 22 日 (日) 2 時 14 分 20 秒 (日本時間)
1935DieDisneyChannelNovember 22, 2009 04:02:22 UTC 2009 年 11 月 22 日 (日) 13 時 2 分 22 秒 (日本時間)
4511e63974DannyBarry1993November 22, 2009 04:12:45 UTC 2009 年 11 月 22 日 (日) 13 時 12 分 45 秒 (日本時間)
5043e6309 / 6577NoMoreDisneyChannelNovember 22, 2009 04:17:07 UTC 2009 年 11 月 22 日 (日) 13 時 17 分 7 秒 (日本時間)

67×10167-319

c94

name 名前Sinkiti Sibata
date 日付November 4, 2009 09:36:50 UTC 2009 年 11 月 4 日 (水) 18 時 36 分 50 秒 (日本時間)
composite number 合成数
3502425090514369839464801792831352863378564620939980353829959014019250494360162188995524651143<94>
prime factors 素因数
84574198791351340668356637482340533647<38>
41412453686437193224539957363738958943723854038718898569<56>
factorization results 素因数分解の結果
Wed Nov 04 14:47:54 2009  Msieve v. 1.42
Wed Nov 04 14:47:54 2009  random seeds: b7fa92a0 b09111fb
Wed Nov 04 14:47:54 2009  factoring 3502425090514369839464801792831352863378564620939980353829959014019250494360162188995524651143 (94 digits)
Wed Nov 04 14:47:55 2009  searching for 15-digit factors
Wed Nov 04 14:47:55 2009  commencing quadratic sieve (94-digit input)
Wed Nov 04 14:47:55 2009  using multiplier of 7
Wed Nov 04 14:47:55 2009  using 32kb Intel Core sieve core
Wed Nov 04 14:47:55 2009  sieve interval: 36 blocks of size 32768
Wed Nov 04 14:47:55 2009  processing polynomials in batches of 6
Wed Nov 04 14:47:55 2009  using a sieve bound of 2025253 (75248 primes)
Wed Nov 04 14:47:55 2009  using large prime bound of 271383902 (28 bits)
Wed Nov 04 14:47:55 2009  using double large prime bound of 1515134967946490 (42-51 bits)
Wed Nov 04 14:47:55 2009  using trial factoring cutoff of 51 bits
Wed Nov 04 14:47:55 2009  polynomial 'A' values have 12 factors
Wed Nov 04 17:50:50 2009  75673 relations (18625 full + 57048 combined from 1070859 partial), need 75344
Wed Nov 04 17:50:51 2009  begin with 1089484 relations
Wed Nov 04 17:50:52 2009  reduce to 195943 relations in 11 passes
Wed Nov 04 17:50:52 2009  attempting to read 195943 relations
Wed Nov 04 17:50:55 2009  recovered 195943 relations
Wed Nov 04 17:50:55 2009  recovered 179427 polynomials
Wed Nov 04 17:50:56 2009  attempting to build 75673 cycles
Wed Nov 04 17:50:56 2009  found 75673 cycles in 6 passes
Wed Nov 04 17:50:56 2009  distribution of cycle lengths:
Wed Nov 04 17:50:56 2009     length 1 : 18625
Wed Nov 04 17:50:56 2009     length 2 : 13525
Wed Nov 04 17:50:56 2009     length 3 : 12818
Wed Nov 04 17:50:56 2009     length 4 : 10120
Wed Nov 04 17:50:56 2009     length 5 : 7691
Wed Nov 04 17:50:56 2009     length 6 : 5105
Wed Nov 04 17:50:56 2009     length 7 : 3291
Wed Nov 04 17:50:56 2009     length 9+: 4498
Wed Nov 04 17:50:56 2009  largest cycle: 20 relations
Wed Nov 04 17:50:56 2009  matrix is 75248 x 75673 (19.9 MB) with weight 4909489 (64.88/col)
Wed Nov 04 17:50:56 2009  sparse part has weight 4909489 (64.88/col)
Wed Nov 04 17:50:57 2009  filtering completed in 3 passes
Wed Nov 04 17:50:57 2009  matrix is 71566 x 71630 (18.9 MB) with weight 4655436 (64.99/col)
Wed Nov 04 17:50:57 2009  sparse part has weight 4655436 (64.99/col)
Wed Nov 04 17:50:57 2009  saving the first 48 matrix rows for later
Wed Nov 04 17:50:57 2009  matrix is 71518 x 71630 (12.2 MB) with weight 3691149 (51.53/col)
Wed Nov 04 17:50:57 2009  sparse part has weight 2758033 (38.50/col)
Wed Nov 04 17:50:57 2009  matrix includes 64 packed rows
Wed Nov 04 17:50:57 2009  using block size 28652 for processor cache size 1024 kB
Wed Nov 04 17:50:58 2009  commencing Lanczos iteration
Wed Nov 04 17:50:58 2009  memory use: 12.2 MB
Wed Nov 04 17:51:32 2009  lanczos halted after 1132 iterations (dim = 71517)
Wed Nov 04 17:51:32 2009  recovered 17 nontrivial dependencies
Wed Nov 04 17:51:33 2009  prp38 factor: 84574198791351340668356637482340533647
Wed Nov 04 17:51:33 2009  prp56 factor: 41412453686437193224539957363738958943723854038718898569
Wed Nov 04 17:51:33 2009  elapsed time 03:03:39

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)

67×10168-319

c104

name 名前Jo Yeong Uk
date 日付November 4, 2009 16:53:49 UTC 2009 年 11 月 5 日 (木) 1 時 53 分 49 秒 (日本時間)
composite number 合成数
66703606449858545643662707449559166574748186359301268429300565428305734048800989227920948282512461698867<104>
prime factors 素因数
97126863769841467874236485364535089605312141371<47>
686767840130450661304870889966446488159378580482101462377<57>
factorization results 素因数分解の結果
Number: 74441_168
N=66703606449858545643662707449559166574748186359301268429300565428305734048800989227920948282512461698867
  ( 104 digits)
Divisors found:
 r1=97126863769841467874236485364535089605312141371
 r2=686767840130450661304870889966446488159378580482101462377
Version: 
Total time: 4.22 hours.
Scaled time: 10.06 units (timescale=2.384).
Factorization parameters were as follows:
name: 74441_168
n: 66703606449858545643662707449559166574748186359301268429300565428305734048800989227920948282512461698867
skew: 22384.96
# norm 2.87e+14
c5: 15660
c4: -501824996
c3: -18525148742447
c2: 266426610854246285
c1: 4333073707957086227643
c0: 14764715322523703194493871
# alpha -6.14
Y1: 7300412317
Y0: -84308575724840796752
# Murphy_E 2.08e-09
# M 5388142146302891828223044752647144935689243276179164408869092559758099099626333652594346077847048977290
type: gnfs
rlim: 1500000
alim: 1500000
lpbr: 26
lpba: 26
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 50/50
Sieved algebraic special-q in [750000, 1500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4950394
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 255278 x 255526
Polynomial selection time: 0.29 hours.
Total sieving time: 3.36 hours.
Total relation processing time: 0.35 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
gnfs,103,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,26,26,50,50,2.6,2.6,50000
total time: 4.22 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)

67×10171-319

c147

name 名前Sinkiti Sibata
date 日付April 30, 2010 08:26:25 UTC 2010 年 4 月 30 日 (金) 17 時 26 分 25 秒 (日本時間)
composite number 合成数
819730279192884954876717941791607918778352079956310778917518740447987066871955538150419796053496334761244126574017352386456236991389000350051679821<147>
prime factors 素因数
39268314952713850595448103837343547881474177284595825197111581901<65>
20875107072457486060732694351310805475334418232554128505489461163587376424731649921<83>
factorization results 素因数分解の結果
Number: 74441_171
N=819730279192884954876717941791607918778352079956310778917518740447987066871955538150419796053496334761244126574017352386456236991389000350051679821
  ( 147 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=39268314952713850595448103837343547881474177284595825197111581901 (pp65)
 r2=20875107072457486060732694351310805475334418232554128505489461163587376424731649921 (pp83)
Version: Msieve-1.40
Total time: 78.42 hours.
Scaled time: 231.64 units (timescale=2.954).
Factorization parameters were as follows:
name: 74441_171
n: 819730279192884954876717941791607918778352079956310778917518740447987066871955538150419796053496334761244126574017352386456236991389000350051679821
m: 10000000000000000000000000000000000
deg: 5
c5: 670
c0: -31
skew: 0.54
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2650000, 6350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1016588 x 1016836
Total sieving time: 76.13 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 2.07 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,172.000,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
total time: 78.42 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
351e6150Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62310Wataru SakaiNovember 28, 2009 09:09:58 UTC 2009 年 11 月 28 日 (土) 18 時 9 分 58 秒 (日本時間)

67×10173-319

c174

name 名前Dmitry Domanov
date 日付November 6, 2009 04:47:28 UTC 2009 年 11 月 6 日 (金) 13 時 47 分 28 秒 (日本時間)
composite number 合成数
248148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148147<174>
prime factors 素因数
430710479242399035363062350740645865987466720557004828022753286974516590870289028663<84>
576136778897578548828836762015811405604962956451806450404338507568484460587741229848480869<90>
factorization results 素因数分解の結果
N=248148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148147
  ( 174 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=430710479242399035363062350740645865987466720557004828022753286974516590870289028663 (pp84)
 r2=576136778897578548828836762015811405604962956451806450404338507568484460587741229848480869 (pp90)
Version: Msieve-1.40
Total time: 104.00 hours.
Scaled time: 197.49 units (timescale=1.899).
Factorization parameters were as follows:
n: 248148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148147
m: 50000000000000000000000000000000000
deg: 5
c5: 536
c0: -775
skew: 1.08
type: snfs
lss: 1
rlim: 6100000
alim: 6100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3050000, 8350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1467553 x 1467786
Total sieving time: 100.25 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 2.82 hours.
Time per square root: 0.75 hours.
Prototype def-par.txt line would be:
snfs,176.000,5,0,0,0,0,0,0,0,0,6100000,6100000,28,28,53,53,2.5,2.5,100000
total time: 104.00 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)

67×10174-319

c152

name 名前Ignacio Santos
date 日付June 9, 2010 21:31:05 UTC 2010 年 6 月 10 日 (木) 6 時 31 分 5 秒 (日本時間)
composite number 合成数
39486958878461977530728017677393333887113465707845189339260872315000605869237979314708532093662195595794929864937545522035432987798745286621845173767753<152>
prime factors 素因数
10089025204178640369944170255353061<35>
composite cofactor 合成数の残り
3913852733969521108396737459135578648889112258477748271939982445131191159878127926613902323430685114652421851852116373<118>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3446776837
Step 1 took 77407ms
********** Factor found in step 1: 10089025204178640369944170255353061
Found probable prime factor of 35 digits: 10089025204178640369944170255353061
Composite cofactor 3913852733969521108396737459135578648889112258477748271939982445131191159878127926613902323430685114652421851852116373 has 118 digits
software ソフトウェア
GMP-ECM 6.2.3

c118

name 名前Dmitry Domanov
date 日付June 14, 2010 11:32:36 UTC 2010 年 6 月 14 日 (月) 20 時 32 分 36 秒 (日本時間)
composite number 合成数
3913852733969521108396737459135578648889112258477748271939982445131191159878127926613902323430685114652421851852116373<118>
prime factors 素因数
1107956568466102167290113690803424518152297503113039877<55>
3532496530426287269069411683893327481180797375709308177297031249<64>
factorization results 素因数分解の結果
Number: 118-1
N=3913852733969521108396737459135578648889112258477748271939982445131191159878127926613902323430685114652421851852116373
  ( 118 digits)
Divisors found:
 r1=1107956568466102167290113690803424518152297503113039877 (pp55)
 r2=3532496530426287269069411683893327481180797375709308177297031249 (pp64)
Version: Msieve-1.40
Total time: 37.11 hours.
Scaled time: 66.17 units (timescale=1.783).
Factorization parameters were as follows:
name: 118-1
n: 3913852733969521108396737459135578648889112258477748271939982445131191159878127926613902323430685114652421851852116373
skew: 42954.57
# norm 8.57e+015
c5: 54660
c4: -932461988
c3: -374496512642915
c2: 10002635600250758200
c1: 270855343945990365403500
c0: -18562453694038349731592352
# alpha -5.98
Y1: 3386095329991
Y0: -37238064974161682273765
# Murphy_E 4.25e-010
# M 2222552567939126652836296674134316880245006806139735071148813715276862431777248114069572064147648960180184003064531821
type: gnfs
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [1900000, 3400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 637643 x 637872
Polynomial selection time: 4.04 hours.
Total sieving time: 32.09 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.73 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
gnfs,117,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3800000,3800000,27,27,53,53,2.5,2.5,100000
total time: 37.11 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)

67×10175-319

c170

name 名前Dmitry Domanov
date 日付November 11, 2009 20:27:22 UTC 2009 年 11 月 12 日 (木) 5 時 27 分 22 秒 (日本時間)
composite number 合成数
82783471921514349402840807507052348684477963101553203269378776764236255132729705909862637508598052018415492222492812973726873603106134712431841093295366609076552841863923<170>
prime factors 素因数
393007290755296676600975185335423075552050629797117701609<57>
210641059005337681090850353556043252785508344730403422889278293035429519751561094996454076042806528622893752218747<114>
factorization results 素因数分解の結果
N=82783471921514349402840807507052348684477963101553203269378776764236255132729705909862637508598052018415492222492812973726873603106134712431841093295366609076552841863923
  ( 170 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=393007290755296676600975185335423075552050629797117701609 (pp57)
 r2=210641059005337681090850353556043252785508344730403422889278293035429519751561094996454076042806528622893752218747 (pp114)
Version: Msieve-1.40
Total time: 82.62 hours.
Scaled time: 155.56 units (timescale=1.883).
Factorization parameters were as follows:
n: 82783471921514349402840807507052348684477963101553203269378776764236255132729705909862637508598052018415492222492812973726873603106134712431841093295366609076552841863923
m: 100000000000000000000000000000000000
deg: 5
c5: 67
c0: -31
skew: 0.86
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3100000, 7200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1326117 x 1326348
Total sieving time: 79.81 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 2.19 hours.
Time per square root: 0.45 hours.
Prototype def-par.txt line would be:
snfs,176.000,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,53,53,2.5,2.5,100000
total time: 82.62 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)

67×10176-319

c174

name 名前Dmitry Domanov
date 日付November 10, 2009 11:52:11 UTC 2009 年 11 月 10 日 (火) 20 時 52 分 11 秒 (日本時間)
composite number 合成数
268849564624212511536455198427029412944905902652381525620962240680550539705469282934071666466032663215761807311103085750973074916736888567874483367441113919987159423779142089<174>
prime factors 素因数
14585106125382471096943606647246369289<38>
composite cofactor 合成数の残り
18433157929261372543020550729674096547707466849046376880307345015073860397953606708332537812839756446385684607720942028809690211884235201<137>
factorization results 素因数分解の結果
Factor=14585106125382471096943606647246369289  Method=ECM  B1=11000000  Sigma=2392920153
software ソフトウェア
ECMNET

c137

name 名前Warut Roonguthai
date 日付January 30, 2013 08:33:22 UTC 2013 年 1 月 30 日 (水) 17 時 33 分 22 秒 (日本時間)
composite number 合成数
18433157929261372543020550729674096547707466849046376880307345015073860397953606708332537812839756446385684607720942028809690211884235201<137>
prime factors 素因数
19898020154030755883891055184890564603400541908862993560684534496063<68>
926381508641067228306012978749534751045234695934945784575230010870527<69>
factorization results 素因数分解の結果
N = 18433157929261372543020550729674096547707466849046376880307345015073860397953606708332537812839756446385684607720942028809690211884235201 (137 digits)
SNFS difficulty: 178 digits.
Divisors found:
r1=19898020154030755883891055184890564603400541908862993560684534496063 (pp68)
r2=926381508641067228306012978749534751045234695934945784575230010870527 (pp69)
Version: Msieve v. 1.48
Total time: 40.25 hours.
Factorization parameters were as follows:
name: (67*10^176-31)/9
n: 18433157929261372543020550729674096547707466849046376880307345015073860397953606708332537812839756446385684607720942028809690211884235201
Y0: 100000000000000000000000000000000000
Y1: -1
c0: -31
c1: 0
c2: 0
c3: 0
c4: 0
c5: 670
skew: 0.54
type: snfs
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 20891025
Relations: 2718970 relations
Pruned matrix : 1545766 x 1545991
Polynomial selection time: 0.00 hours.
Total sieving time: 36.86 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 3.11 hours.
time per square root: 0.16 hours.
Prototype def-par.txt line would be: snfs,178,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,55,55,2.5,2.5,100000
total time: 40.25 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 6, 2010 12:47:00 UTC 2010 年 11 月 6 日 (土) 21 時 47 分 0 秒 (日本時間)
403e62117110Ignacio SantosNovember 6, 2010 12:47:00 UTC 2010 年 11 月 6 日 (土) 21 時 47 分 0 秒 (日本時間)
2007Wataru SakaiOctober 24, 2011 00:58:16 UTC 2011 年 10 月 24 日 (月) 9 時 58 分 16 秒 (日本時間)
4511e632 / 3992Ignacio SantosNovember 6, 2010 12:47:00 UTC 2010 年 11 月 6 日 (土) 21 時 47 分 0 秒 (日本時間)

67×10177-319

c134

name 名前Ignacio Santos
date 日付November 6, 2010 12:45:22 UTC 2010 年 11 月 6 日 (土) 21 時 45 分 22 秒 (日本時間)
composite number 合成数
68162642146051008875308794945570688276123190301450753342859160824346795452437649947865398298519512661137273260502669239635297940735861<134>
prime factors 素因数
505759631354981794964047398848248973<36>
134772800991325300273077336980786311442257355451892165176382096720526209317925748259944647776542857<99>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2246438050
Step 1 took 5289ms
Step 2 took 4274ms
********** Factor found in step 2: 505759631354981794964047398848248973
Found probable prime factor of 36 digits: 505759631354981794964047398848248973
Probable prime cofactor 134772800991325300273077336980786311442257355451892165176382096720526209317925748259944647776542857 has 99 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)

67×10180-319

c158

name 名前Jo Yeong Uk
date 日付March 9, 2014 00:47:06 UTC 2014 年 3 月 9 日 (日) 9 時 47 分 6 秒 (日本時間)
composite number 合成数
18427535511810012338050410760465638074422717727231677986827459831777358975194321812745652499127977414435436362202623736989607106225824757051548621901859097137<158>
prime factors 素因数
817372861126359048794746447096443033068029937530770407393222921141558437<72>
22544834050908461165732547254318851639929285113145702182725787416536172686973717235101<86>
factorization results 素因数分解の結果
Number: 74441_180
N=18427535511810012338050410760465638074422717727231677986827459831777358975194321812745652499127977414435436362202623736989607106225824757051548621901859097137
  ( 158 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=817372861126359048794746447096443033068029937530770407393222921141558437
 r2=22544834050908461165732547254318851639929285113145702182725787416536172686973717235101
Version: 
Total time: 55.71 hours.
Scaled time: 292.85 units (timescale=5.257).
Factorization parameters were as follows:
n: 18427535511810012338050410760465638074422717727231677986827459831777358975194321812745652499127977414435436362202623736989607106225824757051548621901859097137
m: 1000000000000000000000000000000000000
deg: 5
c5: 67
c0: -31
skew: 0.86
# Murphy_E = 8.883e-11
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [2700000, 5400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 17986251
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1376369 x 1376617
Total sieving time: 52.29 hours.
Total relation processing time: 1.22 hours.
Matrix solve time: 2.11 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,5400000,5400000,28,28,53,53,2.5,2.5,100000
total time: 55.71 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49370224k/51380224k available (5223k kernel code, 1085960k absent, 924040k reserved, 7119k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.85 BogoMIPS (lpj=3399928)
Total of 12 processors activated (81598.27 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7 4930k

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 6, 2010 12:47:32 UTC 2010 年 11 月 6 日 (土) 21 時 47 分 32 秒 (日本時間)
403e6110Ignacio SantosNovember 6, 2010 12:47:32 UTC 2010 年 11 月 6 日 (土) 21 時 47 分 32 秒 (日本時間)
4511e61482 / 443532Ignacio SantosNovember 6, 2010 12:47:32 UTC 2010 年 11 月 6 日 (土) 21 時 47 分 32 秒 (日本時間)
600Rich DickersonJuly 4, 2012 15:22:25 UTC 2012 年 7 月 5 日 (木) 0 時 22 分 25 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:05:48 UTC 2013 年 11 月 9 日 (土) 2 時 5 分 48 秒 (日本時間)

67×10184-319

c114

name 名前Erik Branger
date 日付November 6, 2009 14:29:11 UTC 2009 年 11 月 6 日 (金) 23 時 29 分 11 秒 (日本時間)
composite number 合成数
351326333777306830594696036569012983844843250127802988338902578492097989153379793913822350569995529157766770559319<114>
prime factors 素因数
339804285505812771909306394351621065329986786223<48>
1033907895700441246559141545237427637530368994032326666507566286553<67>
factorization results 素因数分解の結果
Number: 74441_184
N=351326333777306830594696036569012983844843250127802988338902578492097989153379793913822350569995529157766770559319
  ( 114 digits)
Divisors found:
 r1=339804285505812771909306394351621065329986786223 (pp48)
 r2=1033907895700441246559141545237427637530368994032326666507566286553 (pp67)
Version: Msieve-1.40
Total time: 23.21 hours.
Scaled time: 22.44 units (timescale=0.967).
Factorization parameters were as follows:
n: 351326333777306830594696036569012983844843250127802988338902578492097989153379793913822350569995529157766770559319
c5: 10800
c4: 1941725750
c3: 81144728246589
c2: -2951244695963751041
c1: 4701141700422248571895
c0: 240834821565109408055254255
Y1: 1235140464791
Y0:-7988311196055664378158
skew: 35675.38
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6Factor 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: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 525895 x 526143
Total sieving time: 22.16 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.61 hours.
Time per square root: 0.34 hours.
Prototype def-par.txt line would be:
gnfs,113,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 23.21 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)

67×10185-319

c177

name 名前matsui
date 日付January 14, 2011 08:23:28 UTC 2011 年 1 月 14 日 (金) 17 時 23 分 28 秒 (日本時間)
composite number 合成数
416125918721196299202426550126014564187415913447249322753405882995442152378600877341763816384777972708486335341827871579071917621679951134778060327835564584765050657169766916463<177>
prime factors 素因数
81087778987890950319381185660568997637551954440426196784469871<62>
5131795739322660061520153353210447923892452263927995547459620715762426302360140169993475435650712589802639928612353<115>
factorization results 素因数分解の結果
N=416125918721196299202426550126014564187415913447249322753405882995442152378600877341763816384777972708486335341827871579071917621679951134778060327835564584765050657169766916463
  ( 177 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=81087778987890950319381185660568997637551954440426196784469871 (pp62)
 r2=5131795739322660061520153353210447923892452263927995547459620715762426302360140169993475435650712589802639928612353 (pp115)
Version: Msieve v. 1.48
Total time:
Scaled time: 93.86 units (timescale=0.698).
Factorization parameters were as follows:
n: 416125918721196299202426550126014564187415913447249322753405882995442152378600877341763816384777972708486335341827871579071917621679951134778060327835564584765050657169766916463
m: 10000000000000000000000000000000000000
deg: 5
c5: 67
c0: -31
skew: 0.86
type: snfs
lss: 1
rlim: 9100000
alim: 9100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 9100000/9100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4550000, 13510001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1944158 x 1944268
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,186.000,5,0,0,0,0,0,0,0,0,9100000,9100000,28,28,54,54,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 6, 2010 12:48:05 UTC 2010 年 11 月 6 日 (土) 21 時 48 分 5 秒 (日本時間)
403e6110 / 2117Ignacio SantosNovember 6, 2010 12:48:05 UTC 2010 年 11 月 6 日 (土) 21 時 48 分 5 秒 (日本時間)
4511e632 / 4435Ignacio SantosNovember 6, 2010 12:48:05 UTC 2010 年 11 月 6 日 (土) 21 時 48 分 5 秒 (日本時間)

67×10186-319

c170

name 名前LegionMammal978
date 日付March 6, 2017 11:23:43 UTC 2017 年 3 月 6 日 (月) 20 時 23 分 43 秒 (日本時間)
composite number 合成数
16392856905755968789165352920464962591059910057120573674304472507449360467540158873057190752528294688444193530062314391182321862002580084077281958599112855550454203671453<170>
prime factors 素因数
6499408419146109364123407892520365650564389529650367998093003410933447<70>
2522207537760745644508459697314188321588450345415635912684254650276761118193513717840743019909336699<100>
factorization results 素因数分解の結果
Sun Mar  5 21:17:20 2017  Msieve v. 1.53 (SVN Unversioned directory)
Sun Mar  5 21:17:20 2017  random seeds: ab4f95b2 fa11f463
Sun Mar  5 21:17:20 2017  factoring 16392856905755968789165352920464962591059910057120573674304472507449360467540158873057190752528294688444193530062314391182321862002580084077281958599112855550454203671453 (170 digits)
Sun Mar  5 21:17:21 2017  no P-1/P+1/ECM available, skipping
Sun Mar  5 21:17:21 2017  commencing number field sieve (170-digit input)
Sun Mar  5 21:17:21 2017  R0: -10000000000000000000000000000000000000
Sun Mar  5 21:17:21 2017  R1: 1
Sun Mar  5 21:17:21 2017  A0: -31
Sun Mar  5 21:17:21 2017  A1: 0
Sun Mar  5 21:17:21 2017  A2: 0
Sun Mar  5 21:17:21 2017  A3: 0
Sun Mar  5 21:17:21 2017  A4: 0
Sun Mar  5 21:17:21 2017  A5: 670
Sun Mar  5 21:17:21 2017  skew 0.54, size 2.709e-13, alpha 0.705, combined = 3.808e-11 rroots = 1
Sun Mar  5 21:17:21 2017  
Sun Mar  5 21:17:21 2017  commencing relation filtering
Sun Mar  5 21:17:21 2017  estimated available RAM is 15929.4 MB
Sun Mar  5 21:17:21 2017  commencing duplicate removal, pass 1
Sun Mar  5 21:20:15 2017  found 3385189 hash collisions in 22317759 relations
Sun Mar  5 21:20:35 2017  added 360 free relations
Sun Mar  5 21:20:35 2017  commencing duplicate removal, pass 2
Sun Mar  5 21:20:42 2017  found 3086178 duplicates and 19231941 unique relations
Sun Mar  5 21:20:42 2017  memory use: 98.6 MB
Sun Mar  5 21:20:42 2017  reading ideals above 720000
Sun Mar  5 21:20:42 2017  commencing singleton removal, initial pass
Sun Mar  5 21:22:54 2017  memory use: 689.0 MB
Sun Mar  5 21:22:54 2017  reading all ideals from disk
Sun Mar  5 21:22:54 2017  memory use: 613.4 MB
Sun Mar  5 21:22:55 2017  keeping 21402156 ideals with weight <= 200, target excess is 116369
Sun Mar  5 21:22:56 2017  commencing in-memory singleton removal
Sun Mar  5 21:22:57 2017  begin with 19231941 relations and 21402156 unique ideals
Sun Mar  5 21:23:07 2017  reduce to 7778639 relations and 7601973 ideals in 20 passes
Sun Mar  5 21:23:07 2017  max relations containing the same ideal: 106
Sun Mar  5 21:23:10 2017  removing 326438 relations and 305599 ideals in 20839 cliques
Sun Mar  5 21:23:10 2017  commencing in-memory singleton removal
Sun Mar  5 21:23:10 2017  begin with 7452201 relations and 7601973 unique ideals
Sun Mar  5 21:23:14 2017  reduce to 7439304 relations and 7283424 ideals in 8 passes
Sun Mar  5 21:23:14 2017  max relations containing the same ideal: 102
Sun Mar  5 21:23:16 2017  removing 234320 relations and 213481 ideals in 20839 cliques
Sun Mar  5 21:23:16 2017  commencing in-memory singleton removal
Sun Mar  5 21:23:16 2017  begin with 7204984 relations and 7283424 unique ideals
Sun Mar  5 21:23:20 2017  reduce to 7198639 relations and 7063575 ideals in 9 passes
Sun Mar  5 21:23:20 2017  max relations containing the same ideal: 98
Sun Mar  5 21:23:22 2017  relations with 0 large ideals: 2936
Sun Mar  5 21:23:22 2017  relations with 1 large ideals: 825
Sun Mar  5 21:23:22 2017  relations with 2 large ideals: 16031
Sun Mar  5 21:23:22 2017  relations with 3 large ideals: 128225
Sun Mar  5 21:23:22 2017  relations with 4 large ideals: 551164
Sun Mar  5 21:23:22 2017  relations with 5 large ideals: 1371708
Sun Mar  5 21:23:22 2017  relations with 6 large ideals: 2117232
Sun Mar  5 21:23:22 2017  relations with 7+ large ideals: 3010518
Sun Mar  5 21:23:22 2017  commencing 2-way merge
Sun Mar  5 21:23:25 2017  reduce to 4191572 relation sets and 4056508 unique ideals
Sun Mar  5 21:23:25 2017  commencing full merge
Sun Mar  5 21:24:17 2017  memory use: 489.7 MB
Sun Mar  5 21:24:17 2017  found 2151027 cycles, need 2138708
Sun Mar  5 21:24:17 2017  weight of 2138708 cycles is about 149854901 (70.07/cycle)
Sun Mar  5 21:24:17 2017  distribution of cycle lengths:
Sun Mar  5 21:24:17 2017  1 relations: 325986
Sun Mar  5 21:24:17 2017  2 relations: 283754
Sun Mar  5 21:24:18 2017  3 relations: 260271
Sun Mar  5 21:24:18 2017  4 relations: 221372
Sun Mar  5 21:24:18 2017  5 relations: 188663
Sun Mar  5 21:24:18 2017  6 relations: 155444
Sun Mar  5 21:24:18 2017  7 relations: 130891
Sun Mar  5 21:24:18 2017  8 relations: 106799
Sun Mar  5 21:24:18 2017  9 relations: 86757
Sun Mar  5 21:24:18 2017  10+ relations: 378771
Sun Mar  5 21:24:18 2017  heaviest cycle: 27 relations
Sun Mar  5 21:24:18 2017  commencing cycle optimization
Sun Mar  5 21:24:21 2017  start with 12226457 relations
Sun Mar  5 21:24:33 2017  pruned 258181 relations
Sun Mar  5 21:24:33 2017  memory use: 413.0 MB
Sun Mar  5 21:24:33 2017  distribution of cycle lengths:
Sun Mar  5 21:24:33 2017  1 relations: 325986
Sun Mar  5 21:24:33 2017  2 relations: 289579
Sun Mar  5 21:24:33 2017  3 relations: 268500
Sun Mar  5 21:24:33 2017  4 relations: 225240
Sun Mar  5 21:24:33 2017  5 relations: 191733
Sun Mar  5 21:24:33 2017  6 relations: 156277
Sun Mar  5 21:24:33 2017  7 relations: 130278
Sun Mar  5 21:24:33 2017  8 relations: 105721
Sun Mar  5 21:24:33 2017  9 relations: 85408
Sun Mar  5 21:24:33 2017  10+ relations: 359986
Sun Mar  5 21:24:33 2017  heaviest cycle: 27 relations
Sun Mar  5 21:24:36 2017  RelProcTime: 435
Sun Mar  5 21:24:36 2017  elapsed time 00:07:16
Sun Mar 05 21:24:36 2017 LatSieveTime: 1310.05
Sun Mar 05 21:24:36 2017 -> Running matrix solving step ...
Sun Mar 05 21:24:36 2017 -> ./msieve -s 74441_186/74441_186.dat -l 74441_186/74441_186.log -i 74441_186/74441_186.ini -nf 74441_186/74441_186.fb -t 6 -nc2
Sun Mar  5 21:24:36 2017  
Sun Mar  5 21:24:36 2017  
Sun Mar  5 21:24:36 2017  Msieve v. 1.53 (SVN Unversioned directory)
Sun Mar  5 21:24:36 2017  random seeds: 52303e22 7f06b03c
Sun Mar  5 21:24:36 2017  factoring 16392856905755968789165352920464962591059910057120573674304472507449360467540158873057190752528294688444193530062314391182321862002580084077281958599112855550454203671453 (170 digits)
Sun Mar  5 21:24:37 2017  no P-1/P+1/ECM available, skipping
Sun Mar  5 21:24:37 2017  commencing number field sieve (170-digit input)
Sun Mar  5 21:24:37 2017  R0: -10000000000000000000000000000000000000
Sun Mar  5 21:24:37 2017  R1: 1
Sun Mar  5 21:24:37 2017  A0: -31
Sun Mar  5 21:24:37 2017  A1: 0
Sun Mar  5 21:24:37 2017  A2: 0
Sun Mar  5 21:24:37 2017  A3: 0
Sun Mar  5 21:24:37 2017  A4: 0
Sun Mar  5 21:24:37 2017  A5: 670
Sun Mar  5 21:24:37 2017  skew 0.54, size 2.709e-13, alpha 0.705, combined = 3.808e-11 rroots = 1
Sun Mar  5 21:24:37 2017  
Sun Mar  5 21:24:37 2017  commencing linear algebra
Sun Mar  5 21:24:37 2017  read 2138708 cycles
Sun Mar  5 21:24:40 2017  cycles contain 7026088 unique relations
Sun Mar  5 21:25:16 2017  read 7026088 relations
Sun Mar  5 21:25:21 2017  using 20 quadratic characters above 4294917295
Sun Mar  5 21:25:50 2017  building initial matrix
Sun Mar  5 21:26:36 2017  memory use: 864.8 MB
Sun Mar  5 21:26:36 2017  read 2138708 cycles
Sun Mar  5 21:26:37 2017  matrix is 2138530 x 2138708 (642.3 MB) with weight 190064059 (88.87/col)
Sun Mar  5 21:26:37 2017  sparse part has weight 144847595 (67.73/col)
Sun Mar  5 21:26:49 2017  filtering completed in 2 passes
Sun Mar  5 21:26:50 2017  matrix is 2135690 x 2135868 (642.0 MB) with weight 189965386 (88.94/col)
Sun Mar  5 21:26:50 2017  sparse part has weight 144813466 (67.80/col)
Sun Mar  5 21:26:54 2017  matrix starts at (0, 0)
Sun Mar  5 21:26:54 2017  matrix is 2135690 x 2135868 (642.0 MB) with weight 189965386 (88.94/col)
Sun Mar  5 21:26:54 2017  sparse part has weight 144813466 (67.80/col)
Sun Mar  5 21:26:54 2017  saving the first 48 matrix rows for later
Sun Mar  5 21:26:55 2017  matrix includes 64 packed rows
Sun Mar  5 21:26:55 2017  matrix is 2135642 x 2135868 (611.2 MB) with weight 151028840 (70.71/col)
Sun Mar  5 21:26:55 2017  sparse part has weight 138867061 (65.02/col)
Sun Mar  5 21:26:55 2017  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Sun Mar  5 21:27:00 2017  commencing Lanczos iteration (6 threads)
Sun Mar  5 21:27:00 2017  memory use: 490.1 MB
Sun Mar  5 21:27:06 2017  linear algebra at 0.1%, ETA 2h20m
Sun Mar  5 21:27:08 2017  checkpointing every 920000 dimensions
Sun Mar  5 23:29:46 2017  lanczos halted after 33774 iterations (dim = 2135640)
Sun Mar  5 23:29:47 2017  recovered 37 nontrivial dependencies
Sun Mar  5 23:29:47 2017  BLanczosTime: 7510
Sun Mar  5 23:29:47 2017  elapsed time 02:05:11
Sun Mar 05 23:29:47 2017 -> Running square root step ...
Sun Mar 05 23:29:47 2017 -> ./msieve -s 74441_186/74441_186.dat -l 74441_186/74441_186.log -i 74441_186/74441_186.ini -nf 74441_186/74441_186.fb -t 6 -nc3
Sun Mar  5 23:29:47 2017  
Sun Mar  5 23:29:47 2017  
Sun Mar  5 23:29:47 2017  Msieve v. 1.53 (SVN Unversioned directory)
Sun Mar  5 23:29:47 2017  random seeds: fb117467 7ca99de9
Sun Mar  5 23:29:47 2017  factoring 16392856905755968789165352920464962591059910057120573674304472507449360467540158873057190752528294688444193530062314391182321862002580084077281958599112855550454203671453 (170 digits)
Sun Mar  5 23:29:48 2017  no P-1/P+1/ECM available, skipping
Sun Mar  5 23:29:48 2017  commencing number field sieve (170-digit input)
Sun Mar  5 23:29:48 2017  R0: -10000000000000000000000000000000000000
Sun Mar  5 23:29:48 2017  R1: 1
Sun Mar  5 23:29:48 2017  A0: -31
Sun Mar  5 23:29:48 2017  A1: 0
Sun Mar  5 23:29:48 2017  A2: 0
Sun Mar  5 23:29:48 2017  A3: 0
Sun Mar  5 23:29:48 2017  A4: 0
Sun Mar  5 23:29:48 2017  A5: 670
Sun Mar  5 23:29:48 2017  skew 0.54, size 2.709e-13, alpha 0.705, combined = 3.808e-11 rroots = 1
Sun Mar  5 23:29:48 2017  
Sun Mar  5 23:29:48 2017  commencing square root phase
Sun Mar  5 23:29:48 2017  reading relations for dependency 1
Sun Mar  5 23:29:48 2017  read 1068271 cycles
Sun Mar  5 23:29:50 2017  cycles contain 3512278 unique relations
Sun Mar  5 23:30:07 2017  read 3512278 relations
Sun Mar  5 23:30:17 2017  multiplying 3512278 relations
Sun Mar  5 23:32:00 2017  multiply complete, coefficients have about 110.73 million bits
Sun Mar  5 23:32:00 2017  initial square root is modulo 88631891
Sun Mar  5 23:34:07 2017  Newton iteration failed to converge
Sun Mar  5 23:34:07 2017  algebraic square root failed
Sun Mar  5 23:34:07 2017  reading relations for dependency 2
Sun Mar  5 23:34:08 2017  read 1065670 cycles
Sun Mar  5 23:34:09 2017  cycles contain 3506588 unique relations
Sun Mar  5 23:34:26 2017  read 3506588 relations
Sun Mar  5 23:34:36 2017  multiplying 3506588 relations
Sun Mar  5 23:36:19 2017  multiply complete, coefficients have about 110.54 million bits
Sun Mar  5 23:36:19 2017  initial square root is modulo 85995181
Sun Mar  5 23:38:29 2017  Newton iteration failed to converge
Sun Mar  5 23:38:29 2017  algebraic square root failed
Sun Mar  5 23:38:29 2017  reading relations for dependency 3
Sun Mar  5 23:38:29 2017  read 1067945 cycles
Sun Mar  5 23:38:30 2017  cycles contain 3514334 unique relations
Sun Mar  5 23:38:48 2017  read 3514334 relations
Sun Mar  5 23:38:57 2017  multiplying 3514334 relations
Sun Mar  5 23:40:38 2017  multiply complete, coefficients have about 110.79 million bits
Sun Mar  5 23:40:39 2017  initial square root is modulo 89523341
Sun Mar  5 23:42:46 2017  GCD is N, no factor found
Sun Mar  5 23:42:46 2017  reading relations for dependency 4
Sun Mar  5 23:42:46 2017  read 1067626 cycles
Sun Mar  5 23:42:47 2017  cycles contain 3512808 unique relations
Sun Mar  5 23:43:04 2017  read 3512808 relations
Sun Mar  5 23:43:15 2017  multiplying 3512808 relations
Sun Mar  5 23:44:57 2017  multiply complete, coefficients have about 110.74 million bits
Sun Mar  5 23:44:57 2017  initial square root is modulo 88862801
Sun Mar  5 23:47:06 2017  Newton iteration failed to converge
Sun Mar  5 23:47:06 2017  algebraic square root failed
Sun Mar  5 23:47:06 2017  reading relations for dependency 5
Sun Mar  5 23:47:06 2017  read 1067213 cycles
Sun Mar  5 23:47:07 2017  cycles contain 3510652 unique relations
Sun Mar  5 23:47:25 2017  read 3510652 relations
Sun Mar  5 23:47:36 2017  multiplying 3510652 relations
Sun Mar  5 23:49:18 2017  multiply complete, coefficients have about 110.67 million bits
Sun Mar  5 23:49:19 2017  initial square root is modulo 87827261
Sun Mar  5 23:51:26 2017  sqrtTime: 1298
Sun Mar  5 23:51:26 2017  p70 factor: 6499408419146109364123407892520365650564389529650367998093003410933447
Sun Mar  5 23:51:26 2017  p100 factor: 2522207537760745644508459697314188321588450345415635912684254650276761118193513717840743019909336699
Sun Mar  5 23:51:26 2017  elapsed time 00:21:39
software ソフトウェア
Msieve 1.53 snfs
execution environment 実行環境
64-bit Ubuntu 16.04.1 LTS, Core i7-2600K 3.4GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 6, 2010 12:48:35 UTC 2010 年 11 月 6 日 (土) 21 時 48 分 35 秒 (日本時間)
403e6110Ignacio SantosNovember 6, 2010 12:48:35 UTC 2010 年 11 月 6 日 (土) 21 時 48 分 35 秒 (日本時間)
4511e6632 / 443532Ignacio SantosNovember 6, 2010 12:48:35 UTC 2010 年 11 月 6 日 (土) 21 時 48 分 35 秒 (日本時間)
600Dmitry DomanovJanuary 14, 2013 23:12:09 UTC 2013 年 1 月 15 日 (火) 8 時 12 分 9 秒 (日本時間)

67×10189-319

c148

composite cofactor 合成数の残り
1916940075870182643646386852848640462802810142868372597938227659704572207575724130655906360250859364328587680732829969841368309026343288417954898283<148>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 6, 2010 12:49:30 UTC 2010 年 11 月 6 日 (土) 21 時 49 分 30 秒 (日本時間)
403e6110Ignacio SantosNovember 6, 2010 12:49:30 UTC 2010 年 11 月 6 日 (土) 21 時 49 分 30 秒 (日本時間)
4511e6632 / 443532Ignacio SantosNovember 6, 2010 12:49:30 UTC 2010 年 11 月 6 日 (土) 21 時 49 分 30 秒 (日本時間)
600Dmitry DomanovJanuary 9, 2013 22:38:33 UTC 2013 年 1 月 10 日 (木) 7 時 38 分 33 秒 (日本時間)

67×10190-319

c126

name 名前Markus Tervooren
date 日付March 3, 2010 20:47:05 UTC 2010 年 3 月 4 日 (木) 5 時 47 分 5 秒 (日本時間)
composite number 合成数
315609893954065963346800970552184628131645048686820539656658888904350651715749745223640971251298127738955658351756837187621293<126>
prime factors 素因数
453623042157188494833456689042930926393009<42>
695753664657761128510720422386966763463167956391897474816209571386200215574720684477<84>
factorization results 素因数分解の結果
N=315609893954065963346800970552184628131645048686820539656658888904350651715749745223640971251298127738955658351756837187621293
  ( 126 digits)
Divisors found:
 r1=453623042157188494833456689042930926393009 (pp42)
 r2=695753664657761128510720422386966763463167956391897474816209571386200215574720684477 (pp84)
Version: Msieve-1.39
Total time: 48.71 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
# Murphy_E = 1.400096e-10, selected by Jeff Gilchrist
n: 315609893954065963346800970552184628131645048686820539656658888904350651715749745223640971251298127738955658351756837187621293
Y0: -2045200591272225710195065
Y1: 37530693047023
c0: -9606844287138699891655946024184
c1: -86627021361775285765926408
c2: 655721995325626052628
c3: -915713005939213
c4: 2740378862
c5: 8820
skew: 337556.66
type: gnfs
# selected mechanically
rlim: 7400000
alim: 7400000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.6
alambda: 2.6

Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 60/60
Sieved algebraic special-q in [3700000, 7200001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1523005 x 1523253
Total sieving time: 44.81 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 3.07 hours.
Time per square root: 0.55 hours.
Prototype def-par.txt line would be:
gnfs,125,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,7400000,7400000,30,30,60,60,2.6,2.6,500000
total time: 48.71 hours.
 --------- CPU info (if available) ----------
[    0.144009] CPU0: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.235321] CPU1: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.331196] CPU2: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.428180] CPU3: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.004000] Memory: 8197988k/10485760k available (2226k kernel code, 189848k reserved, 1082k data, 392k init)
[    0.083917] Calibrating delay using timer specific routine.. 6004.11 BogoMIPS (lpj=12008231)
[    0.156009] Calibrating delay using timer specific routine.. 8400.06 BogoMIPS (lpj=16800120)
[    0.248015] Calibrating delay using timer specific routine.. 6000.08 BogoMIPS (lpj=12000173)
[    0.347721] Calibrating delay using timer specific routine.. 6000.07 BogoMIPS (lpj=12000153)
[    0.435722] Total of 4 processors activated (26404.33 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6150Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62310Wataru SakaiNovember 21, 2009 03:03:53 UTC 2009 年 11 月 21 日 (土) 12 時 3 分 53 秒 (日本時間)
4511e6160 / 3963Dmitry DomanovNovember 20, 2009 22:20:05 UTC 2009 年 11 月 21 日 (土) 7 時 20 分 5 秒 (日本時間)

67×10196-319

c162

composite cofactor 合成数の残り
109034333833216881193057134289240910669799789121347952739155936021629707643111705427974638041150173378431209988418255696568926224537804141384953217316710570472761<162>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 6, 2010 12:50:54 UTC 2010 年 11 月 6 日 (土) 21 時 50 分 54 秒 (日本時間)
403e6110Ignacio SantosNovember 6, 2010 12:50:54 UTC 2010 年 11 月 6 日 (土) 21 時 50 分 54 秒 (日本時間)
4511e6672 / 443532Ignacio SantosNovember 6, 2010 12:50:54 UTC 2010 年 11 月 6 日 (土) 21 時 50 分 54 秒 (日本時間)
500Dmitry DomanovJanuary 9, 2013 22:39:24 UTC 2013 年 1 月 10 日 (木) 7 時 39 分 24 秒 (日本時間)
140Dmitry DomanovJanuary 25, 2013 09:09:21 UTC 2013 年 1 月 25 日 (金) 18 時 9 分 21 秒 (日本時間)

67×10197-319

c115

name 名前Jo Yeong Uk
date 日付November 10, 2009 15:56:46 UTC 2009 年 11 月 11 日 (水) 0 時 56 分 46 秒 (日本時間)
composite number 合成数
2274671786621949951263749654269552518055133473554962856563812879331411196076321546565020576595542670694967075946973<115>
prime factors 素因数
876417883079711189730801115665794456501<39>
2595419183630539862325486973334714191597155410525075313845472607910755022473<76>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 2274671786621949951263749654269552518055133473554962856563812879331411196076321546565020576595542670694967075946973 (115 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=6695390019
Step 1 took 3447ms
Step 2 took 3775ms
********** Factor found in step 2: 876417883079711189730801115665794456501
Found probable prime factor of 39 digits: 876417883079711189730801115665794456501
Probable prime cofactor 2595419183630539862325486973334714191597155410525075313845472607910755022473 has 76 digits
execution environment 実行環境
Core 2 Quad Q6600

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)

67×10198-319

c176

name 名前Dmitry Domanov
date 日付January 14, 2013 06:22:07 UTC 2013 年 1 月 14 日 (月) 15 時 22 分 7 秒 (日本時間)
composite number 合成数
66996523060310261385141400668393153447150775764860344019868205768226131661848769555836212249773052474830518036668000629015049882364769565498080591201924499146437961030522838481<176>
prime factors 素因数
386270755538741551898456545924829063119117<42>
composite cofactor 合成数の残り
173444461170425711379559827397538607304136055786974931614169377022796157746851390505487714775242376740427463192042769755387911372551893<135>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=264891915
Step 1 took 91106ms
Step 2 took 29935ms
********** Factor found in step 2: 386270755538741551898456545924829063119117
Found probable prime factor of 42 digits: 386270755538741551898456545924829063119117

c135

name 名前Warut Roonguthai
date 日付March 23, 2013 07:35:38 UTC 2013 年 3 月 23 日 (土) 16 時 35 分 38 秒 (日本時間)
composite number 合成数
173444461170425711379559827397538607304136055786974931614169377022796157746851390505487714775242376740427463192042769755387911372551893<135>
prime factors 素因数
63822557331448783908699877432204027400212379<44>
2717604377237330766915009030902954501665259417350176145712435872632345721301327797120127567<91>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1980678408
Step 1 took 46067ms
Step 2 took 27254ms
********** Factor found in step 2: 63822557331448783908699877432204027400212379
Found probable prime factor of 44 digits: 63822557331448783908699877432204027400212379
Probable prime cofactor 2717604377237330766915009030902954501665259417350176145712435872632345721301327797120127567 has 91 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
351e6450150Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 6, 2010 13:46:32 UTC 2010 年 11 月 6 日 (土) 22 時 46 分 32 秒 (日本時間)
403e6110Ignacio SantosNovember 6, 2010 13:46:32 UTC 2010 年 11 月 6 日 (土) 22 時 46 分 32 秒 (日本時間)
4511e61032 / 443532Ignacio SantosNovember 6, 2010 13:46:32 UTC 2010 年 11 月 6 日 (土) 22 時 46 分 32 秒 (日本時間)
1000Dmitry DomanovJanuary 11, 2013 21:28:07 UTC 2013 年 1 月 12 日 (土) 6 時 28 分 7 秒 (日本時間)

67×10203-319

c181

composite cofactor 合成数の残り
4555283524574867867812960188593034234727168047035556969806831398629727913169126847247138128477432993649533462668601767169453780231492441036681615472822184495992645620823947214688419<181>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 2, 2013 15:08:17 UTC 2013 年 1 月 3 日 (木) 0 時 8 分 17 秒 (日本時間)
403e63000Warut RoonguthaiJanuary 3, 2013 10:57:54 UTC 2013 年 1 月 3 日 (木) 19 時 57 分 54 秒 (日本時間)

67×10204-319

c175

name 名前Warut Roonguthai
date 日付January 3, 2013 02:38:34 UTC 2013 年 1 月 3 日 (木) 11 時 38 分 34 秒 (日本時間)
composite number 合成数
8104277310764010017537019160654764954960678179307531912918721004059744905755994910701475209277414468415063569544875025035331669456264329023284141931705222256362148494011520673<175>
prime factors 素因数
5550444302556379391880786223859165728094569<43>
1460113257425429271750862612675578324983619726818061455269335309132223273111852886974469151265077175633463610251341854395718960977017<133>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2936816475
Step 1 took 26146ms
Step 2 took 12105ms
********** Factor found in step 2: 5550444302556379391880786223859165728094569
Found probable prime factor of 43 digits: 5550444302556379391880786223859165728094569
Probable prime cofactor 1460113257425429271750862612675578324983619726818061455269335309132223273111852886974469151265077175633463610251341854395718960977017 has 133 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
351e61418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 2, 2013 15:08:35 UTC 2013 年 1 月 3 日 (木) 0 時 8 分 35 秒 (日本時間)

67×10206-319

c171

composite cofactor 合成数の残り
275024239037223635535034150717056800576867417367649004561409753382834805553426653216950686513963099742456295305475150439246056975701695186580392749642018954825838014775071<171>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 2, 2013 15:09:01 UTC 2013 年 1 月 3 日 (木) 0 時 9 分 1 秒 (日本時間)
403e62100Warut RoonguthaiJanuary 3, 2013 00:50:03 UTC 2013 年 1 月 3 日 (木) 9 時 50 分 3 秒 (日本時間)

67×10208-319

c193

name 名前Warut Roonguthai
date 日付December 31, 2012 20:26:33 UTC 2013 年 1 月 1 日 (火) 5 時 26 分 33 秒 (日本時間)
composite number 合成数
4611264540635844627547995641723792105553538700616861371581741781243719482624646700558850097152834410520792221381020419789742399783264802655381212671511946199996389408739301595156636158705483003<193>
prime factors 素因数
3273074389195125445044386384553085563461<40>
1408848071360147299305369216406471144402157815023087394212586410745208839668589305590680177252250681868418398502694501832857341084359304784800258859599423<154>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2465511360
Step 1 took 12387ms
Step 2 took 7145ms
********** Factor found in step 2: 3273074389195125445044386384553085563461
Found probable prime factor of 40 digits: 3273074389195125445044386384553085563461
Probable prime cofactor 1408848071360147299305369216406471144402157815023087394212586410745208839668589305590680177252250681868418398502694501832857341084359304784800258859599423 has 154 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 KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)

67×10210-319

c190

composite cofactor 合成数の残り
2738975074193236637929330129677628364684469833750196592703450255315791529698795107705318248707626325658104491078113941428311429740148950010430326362195245567590438680561079596758976896369319<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 2, 2013 15:09:18 UTC 2013 年 1 月 3 日 (木) 0 時 9 分 18 秒 (日本時間)
403e61000Dmitry DomanovJanuary 3, 2013 18:12:09 UTC 2013 年 1 月 4 日 (金) 3 時 12 分 9 秒 (日本時間)
4511e6720 / 4194Dmitry DomanovJanuary 9, 2013 19:51:23 UTC 2013 年 1 月 10 日 (木) 4 時 51 分 23 秒 (日本時間)

67×10213-319

c198

composite cofactor 合成数の残り
486699195079559547562274099802162444371958813764462382860088154845391522668356701027482553794419556133703337396531056222994092035908021958489009583392984572562210191801693888832166030173373659704583<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 2, 2013 15:09:27 UTC 2013 年 1 月 3 日 (木) 0 時 9 分 27 秒 (日本時間)
403e61000Dmitry DomanovJanuary 3, 2013 18:12:23 UTC 2013 年 1 月 4 日 (金) 3 時 12 分 23 秒 (日本時間)
4511e6750 / 4194Dmitry DomanovJanuary 9, 2013 19:51:39 UTC 2013 年 1 月 10 日 (木) 4 時 51 分 39 秒 (日本時間)

67×10215-319

c207

name 名前Dmitry Domanov
date 日付January 5, 2013 15:33:43 UTC 2013 年 1 月 6 日 (日) 0 時 33 分 43 秒 (日本時間)
composite number 合成数
488604803583898673685403785989806405275279781890835366233235722790009554550981599899996919390469057571151846993493852418955611475179337855329514335326231926177322140205012600019982142484765311886960975901739<207>
prime factors 素因数
2909001139311357344364047776191758029<37>
composite cofactor 合成数の残り
167963084297576183866635389592603991839977622046594059571931125499266425139362748984617422647607086599965396083375427072325369527165662713633624416963230909524819794955991<171>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=405002397
Step 1 took 26775ms
Step 2 took 10318ms
********** Factor found in step 2: 2909001139311357344364047776191758029
Found probable prime factor of 37 digits: 2909001139311357344364047776191758029

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 2, 2013 15:09:41 UTC 2013 年 1 月 3 日 (木) 0 時 9 分 41 秒 (日本時間)
403e61000Dmitry DomanovJanuary 3, 2013 18:12:39 UTC 2013 年 1 月 4 日 (金) 3 時 12 分 39 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovJanuary 11, 2013 21:22:53 UTC 2013 年 1 月 12 日 (土) 6 時 22 分 53 秒 (日本時間)

67×10216-319

c217

name 名前Ben Meekins
date 日付December 5, 2015 03:41:25 UTC 2015 年 12 月 5 日 (土) 12 時 41 分 25 秒 (日本時間)
composite number 合成数
7444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441<217>
prime factors 素因数
1655810674018581740331638902180622724210289919633748558063431<61>
644695213247227056936731100840643890828462672918497615471771647<63>
6973762770356945230150643711174115254257083502158869533014422660972607024991784624525626306913<94>
factorization results 素因数分解の結果
Number: 74441_216
N = 7444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441 (217 digits)
SNFS difficulty: 218 digits.
Divisors found:
r1=1655810674018581740331638902180622724210289919633748558063431 (pp61)
r2=644695213247227056936731100840643890828462672918497615471771647 (pp63)
r3=6973762770356945230150643711174115254257083502158869533014422660972607024991784624525626306913 (pp94)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 417.30 hours.
Factorization parameters were as follows:
n: 7444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441
m: 1000000000000000000000000000000000000
deg: 6
c6: 67
c0: -31
skew: 0.88
# Murphy_E = 2.528e-12
type: snfs
lss: 1
rlim: 30000000
alim: 30000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 30000000/30000000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 51852233
Relations: 7657546 relations
Pruned matrix : 5297677 x 5297902
Polynomial selection time: 0.00 hours.
Total sieving time: 391.62 hours.
Total relation processing time: 0.43 hours.
Matrix solve time: 24.71 hours.
time per square root: 0.53 hours.
Prototype def-par.txt line would be: snfs,218,6,0,0,0,0,0,0,0,0,30000000,30000000,29,29,58,58,2.6,2.6,200000
total time: 417.30 hours.
x86_64
Linux-3.13.0-68-generic-x86_64-with-Ubuntu-14.04-trusty
processors: 4, speed: 2.10GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 2, 2013 15:10:11 UTC 2013 年 1 月 3 日 (木) 0 時 10 分 11 秒 (日本時間)
403e61000Dmitry DomanovJanuary 3, 2013 18:13:35 UTC 2013 年 1 月 4 日 (金) 3 時 13 分 35 秒 (日本時間)
4511e650502000Dmitry DomanovJanuary 11, 2013 21:23:11 UTC 2013 年 1 月 12 日 (土) 6 時 23 分 11 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:14:42 UTC 2013 年 11 月 9 日 (土) 2 時 14 分 42 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:27:55 UTC 2014 年 1 月 6 日 (月) 11 時 27 分 55 秒 (日本時間)
1800Serge BatalovMay 24, 2014 09:17:22 UTC 2014 年 5 月 24 日 (土) 18 時 17 分 22 秒 (日本時間)
5043e63000 / 6374Serge BatalovDecember 14, 2014 09:59:05 UTC 2014 年 12 月 14 日 (日) 18 時 59 分 5 秒 (日本時間)

67×10217-319

c193

name 名前Dmitry Domanov
date 日付January 5, 2013 15:34:40 UTC 2013 年 1 月 6 日 (日) 0 時 34 分 40 秒 (日本時間)
composite number 合成数
1534348582056720184740397791311612152302730853959229462423092148230983235673725452114348886067346046194932012726000216000378895456174156155633653573957750648982659700108774620235431184476758691<193>
prime factors 素因数
162649909670237943922598091075734902009<39>
composite cofactor 合成数の残り
9433442571025779250968852358037354286657704183138734140979319168810506505544590616440940063624315581837063984531898464262136044171756458326291509868562299<154>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1927432481
Step 1 took 22807ms
Step 2 took 9629ms
********** Factor found in step 2: 162649909670237943922598091075734902009
Found probable prime factor of 39 digits: 162649909670237943922598091075734902009

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 2, 2013 15:10:19 UTC 2013 年 1 月 3 日 (木) 0 時 10 分 19 秒 (日本時間)
403e61000Dmitry DomanovJanuary 3, 2013 18:13:57 UTC 2013 年 1 月 4 日 (金) 3 時 13 分 57 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovJanuary 11, 2013 21:23:26 UTC 2013 年 1 月 12 日 (土) 6 時 23 分 26 秒 (日本時間)

67×10220-319

c163

composite cofactor 合成数の残り
8387545870633194037717433315644191885232819885200842817130221285358217674367253211022315867030272382304112164163301181879545895876500132477165793583867780870631977<163>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 1, 2013 17:35:34 UTC 2013 年 1 月 2 日 (水) 2 時 35 分 34 秒 (日本時間)
403e63500Warut RoonguthaiJanuary 1, 2013 17:35:34 UTC 2013 年 1 月 2 日 (水) 2 時 35 分 34 秒 (日本時間)

67×10221-319

c222

name 名前matsui
date 日付April 24, 2013 22:01:42 UTC 2013 年 4 月 25 日 (木) 7 時 1 分 42 秒 (日本時間)
composite number 合成数
248148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148147<222>
prime factors 素因数
166732722403673600891804633372672417982781322302779413771749867<63>
2542793918413255119681348971513246180356170669153144113113826648318227<70>
585300685980801135201084726039664842071280831564722265269633096182903121657392597428234083<90>
factorization results 素因数分解の結果
N=248148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148147
  ( 222 digits)
SNFS difficulty: 223 digits.
Divisors found:
 r1=166732722403673600891804633372672417982781322302779413771749867 (pp63)
 r2=2542793918413255119681348971513246180356170669153144113113826648318227 (pp70)
 r3=585300685980801135201084726039664842071280831564722265269633096182903121657392597428234083 (pp90)
Version: Msieve v. 1.52 (SVN Unversioned directory)
Total time:
Scaled time: 315.98 units (timescale=1.877).
Factorization parameters were as follows:
n: 248148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148147
m: 10000000000000000000000000000000000000
deg: 6
c6: 67
c0: -310
skew: 1.29
# Murphy_E = 1.941e-12
type: snfs
lss: 1
rlim: 38000000
alim: 38000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
qintsize: 640000
Factor base limits: 38000000/38000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved rational special-q in [19000000, 64440001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : submatrix x not
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,223.000,6,0,0,0,0,0,0,0,0,38000000,38000000,29,29,58,58,2.6,2.6,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 2, 2013 15:10:45 UTC 2013 年 1 月 3 日 (木) 0 時 10 分 45 秒 (日本時間)
403e61000Dmitry DomanovJanuary 3, 2013 18:14:23 UTC 2013 年 1 月 4 日 (金) 3 時 14 分 23 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovJanuary 11, 2013 21:26:08 UTC 2013 年 1 月 12 日 (土) 6 時 26 分 8 秒 (日本時間)

67×10223-319

c221

composite cofactor 合成数の残り
64565866820853811313481738460055892839934470463525103594487809578876361183386335164305676014262310879830394140888503421027271851209405415823455719379396742796569336031608364652597089717644791365519899778355979570203334297<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 2, 2013 15:10:56 UTC 2013 年 1 月 3 日 (木) 0 時 10 分 56 秒 (日本時間)
403e61000Dmitry DomanovJanuary 3, 2013 18:14:40 UTC 2013 年 1 月 4 日 (金) 3 時 14 分 40 秒 (日本時間)
4511e651501000Dmitry DomanovJanuary 11, 2013 21:26:30 UTC 2013 年 1 月 12 日 (土) 6 時 26 分 30 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:15:28 UTC 2013 年 11 月 9 日 (土) 2 時 15 分 28 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:28:28 UTC 2014 年 1 月 6 日 (月) 11 時 28 分 28 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:45 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 45 秒 (日本時間)
1000Serge BatalovDecember 18, 2014 00:18:41 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 41 秒 (日本時間)
1000Serge BatalovDecember 21, 2014 10:24:34 UTC 2014 年 12 月 21 日 (日) 19 時 24 分 34 秒 (日本時間)

67×10225-319

c214

name 名前Warut Roonguthai
date 日付December 31, 2012 20:38:55 UTC 2013 年 1 月 1 日 (火) 5 時 38 分 55 秒 (日本時間)
composite number 合成数
3224506033776686553427014586119114928139779022795388226257694052950284596598696275511975409243519746422380140816777010860906901746950730940069123881585080704321005282111801287276117632336166713666741926488830848287<214>
prime factors 素因数
255379704123063586210211859342289029915887<42>
composite cofactor 合成数の残り
12626320657897098403035646464286652368466470699567084125972202152056667594501794449414121013997857124214200411238871959744078397339839577376885746855781104446484354137365201<173>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3624834425
Step 1 took 14165ms
Step 2 took 7784ms
********** Factor found in step 2: 255379704123063586210211859342289029915887
Found probable prime factor of 42 digits: 255379704123063586210211859342289029915887
Composite cofactor 12626320657897098403035646464286652368466470699567084125972202152056667594501794449414121013997857124214200411238871959744078397339839577376885746855781104446484354137365201 has 173 digits
software ソフトウェア
GMP-ECM 6.3

c173

name 名前Warut Roonguthai
date 日付January 1, 2013 14:32:43 UTC 2013 年 1 月 1 日 (火) 23 時 32 分 43 秒 (日本時間)
composite number 合成数
12626320657897098403035646464286652368466470699567084125972202152056667594501794449414121013997857124214200411238871959744078397339839577376885746855781104446484354137365201<173>
prime factors 素因数
2145634363810367375970107932170671<34>
composite cofactor 合成数の残り
5884656244726802487134793450144149326058963687538776843195662535311597994619518003754575335718636738839980046924494206736279153600837186431<139>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1308385864
Step 1 took 7800ms
Step 2 took 5928ms
********** Factor found in step 2: 2145634363810367375970107932170671
Found probable prime factor of 34 digits: 2145634363810367375970107932170671
Composite cofactor 5884656244726802487134793450144149326058963687538776843195662535311597994619518003754575335718636738839980046924494206736279153600837186431 has 139 digits
software ソフトウェア
GMP-ECM 6.3

c139

name 名前Robert Backstrom
date 日付November 2, 2013 16:18:00 UTC 2013 年 11 月 3 日 (日) 1 時 18 分 0 秒 (日本時間)
composite number 合成数
5884656244726802487134793450144149326058963687538776843195662535311597994619518003754575335718636738839980046924494206736279153600837186431<139>
prime factors 素因数
229291042424684699151473078301871112361955199<45>
25664571029458062564161509806523607376798025345367301205413688738076490365444296979698170682369<95>
factorization results 素因数分解の結果
Number: n
N=5884656244726802487134793450144149326058963687538776843195662535311597994619518003754575335718636738839980046924494206736279153600837186431
  ( 139 digits)
Divisors found:

Sun Nov  3 03:06:26 2013  prp45 factor: 229291042424684699151473078301871112361955199
Sun Nov  3 03:06:26 2013  prp95 factor: 25664571029458062564161509806523607376798025345367301205413688738076490365444296979698170682369
Sun Nov  3 03:06:26 2013  elapsed time 03:38:07 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.744).
Factorization parameters were as follows:
# Murphy_E = 2.418e-11, selected by Erik Branger
#
# 74(224)1 - c139
#
n: 5884656244726802487134793450144149326058963687538776843195662535311597994619518003754575335718636738839980046924494206736279153600837186431
Y0: -1029034478456876510773603727
Y1: 182436546453271
c0: 1438244916518611108697053702027200
c1: 2822712086933657002750747280
c2: -21156245036927798221812
c3: -21174931511401554
c4: 85491764851
c5: 5100
skew: 613864.24
type: gnfs
# selected mechanically
rlim: 16900000
alim: 16900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 16900000/16900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 12450000)
Primes: RFBsize:1085243, AFBsize:1084643,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 3484971 hash collisions in 28776086 relations (26309193 unique)
Msieve: matrix is 1553519 x 1553745 (445.6 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 2hrs 56min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 27min 46sec.

Prototype def-par.txt line would be:
gnfs,138,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,16900000,16900000,28,28,55,55,2.6,2.6,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 2, 2013 15:02:54 UTC 2013 年 1 月 3 日 (木) 0 時 2 分 54 秒 (日本時間)
403e64600Warut RoonguthaiJanuary 2, 2013 15:02:54 UTC 2013 年 1 月 3 日 (木) 0 時 2 分 54 秒 (日本時間)
4511e6160 / 3398Ignacio SantosFebruary 25, 2013 10:12:36 UTC 2013 年 2 月 25 日 (月) 19 時 12 分 36 秒 (日本時間)

67×10226-319

c201

composite cofactor 合成数の残り
754471255786699758342626861486477537664447348159539886810884422834156596025441170031296811038176304070919310867190064402611743364693165856345432441808350823996389007148164473926416384294015585816153631<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 2, 2013 15:11:04 UTC 2013 年 1 月 3 日 (木) 0 時 11 分 4 秒 (日本時間)
403e61000Dmitry DomanovJanuary 3, 2013 18:15:12 UTC 2013 年 1 月 4 日 (金) 3 時 15 分 12 秒 (日本時間)
4511e6720 / 4194Dmitry DomanovJanuary 9, 2013 19:52:46 UTC 2013 年 1 月 10 日 (木) 4 時 52 分 46 秒 (日本時間)

67×10228-319

c211

composite cofactor 合成数の残り
8518312950575763665176870143209967005688449009786003528351202924101848019860742944932778375587172369100647197293599468746435655396060323732029967232182153382092293055768038944627534241770760762447300228551429187<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 2, 2013 15:11:12 UTC 2013 年 1 月 3 日 (木) 0 時 11 分 12 秒 (日本時間)
403e61000Dmitry DomanovJanuary 3, 2013 18:15:27 UTC 2013 年 1 月 4 日 (金) 3 時 15 分 27 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovJanuary 11, 2013 21:27:01 UTC 2013 年 1 月 12 日 (土) 6 時 27 分 1 秒 (日本時間)

67×10229-319

c159

composite cofactor 合成数の残り
168478057961570960095898336896189374203798114909138066117144033100210029830939353176585883396636122737610694470202330839716155149833116944914723859995246350529<159>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
300Ignacio SantosJanuary 1, 2013 00:15:58 UTC 2013 年 1 月 1 日 (火) 9 時 15 分 58 秒 (日本時間)
403e64110110Ignacio SantosJanuary 1, 2013 00:15:58 UTC 2013 年 1 月 1 日 (火) 9 時 15 分 58 秒 (日本時間)
4000Warut RoonguthaiJanuary 1, 2013 09:38:48 UTC 2013 年 1 月 1 日 (火) 18 時 38 分 48 秒 (日本時間)
4511e6218232Ignacio SantosJanuary 1, 2013 00:15:58 UTC 2013 年 1 月 1 日 (火) 9 時 15 分 58 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:12:35 UTC 2013 年 11 月 9 日 (土) 2 時 12 分 35 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:26:23 UTC 2014 年 1 月 6 日 (月) 11 時 26 分 23 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:12 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 12 秒 (日本時間)
5043e61200 / 6906Erik BrangerOctober 24, 2015 08:46:45 UTC 2015 年 10 月 24 日 (土) 17 時 46 分 45 秒 (日本時間)

67×10231-319

c184

composite cofactor 合成数の残り
2091574998238577369221834386425021801994410855710383796802433381006985820361691001192661584953820185515179115979754345590784080104599509533491518113072606434252739305642328451570029911<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 2, 2013 15:11:36 UTC 2013 年 1 月 3 日 (木) 0 時 11 分 36 秒 (日本時間)
403e640001000Dmitry DomanovJanuary 3, 2013 18:15:54 UTC 2013 年 1 月 4 日 (金) 3 時 15 分 54 秒 (日本時間)
3000Warut RoonguthaiJanuary 3, 2013 19:04:15 UTC 2013 年 1 月 4 日 (金) 4 時 4 分 15 秒 (日本時間)

67×10233-319

c224

composite cofactor 合成数の残り
20327873172208164450127968631416959798824945624394906932890867862767514862638220514536311204361874886141559056428978926823146338854343064532846515135280245958716026384524913098547515499190884289376251480128373867295586785673<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 2, 2013 15:11:44 UTC 2013 年 1 月 3 日 (木) 0 時 11 分 44 秒 (日本時間)
403e61000Dmitry DomanovJanuary 3, 2013 18:16:12 UTC 2013 年 1 月 4 日 (金) 3 時 16 分 12 秒 (日本時間)
4511e61200 / 4194Dmitry DomanovJanuary 8, 2013 13:58:38 UTC 2013 年 1 月 8 日 (火) 22 時 58 分 38 秒 (日本時間)

67×10234-319

c216

name 名前Warut Roonguthai
date 日付January 1, 2013 02:48:22 UTC 2013 年 1 月 1 日 (火) 11 時 48 分 22 秒 (日本時間)
composite number 合成数
436007041724324022744765947544075776657902959988815484040274421621503445819238354775025788041400868627952604631181208844342208439281822089131129050536765711389192289699036905233145541373376200000503404487724835993967<216>
prime factors 素因数
397979163634511033773008567263887<33>
1095552434812231400113579370551885549048303682701993573107407592999437460812424153271634144404421380035239635822368851523250725692465176555799102945574669906302224056873266638689495841<184>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3596209754
Step 1 took 14165ms
Step 2 took 7816ms
********** Factor found in step 2: 397979163634511033773008567263887
Found probable prime factor of 33 digits: 397979163634511033773008567263887
Probable prime cofactor 1095552434812231400113579370551885549048303682701993573107407592999437460812424153271634144404421380035239635822368851523250725692465176555799102945574669906302224056873266638689495841 has 184 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 KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)

67×10235-319

c226

name 名前Dmitry Domanov
date 日付January 5, 2013 15:35:43 UTC 2013 年 1 月 6 日 (日) 0 時 35 分 43 秒 (日本時間)
composite number 合成数
3459492767351996875880705744434695837023224640052769114136090998253584525459343720909801888981344974212642027473382197126771090458379316846008772810406106005440732409670635673430689246866773440004285869962896192871346305883093<226>
prime factors 素因数
108347960549100002354502237645335764229<39>
composite cofactor 合成数の残り
31929468259665671410151894958721348395510228069572294504573759987082524568502081663413407232508206768949576659074697761942676702236640433331214371584017914115845543361033145554886295452817<188>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2194483772
Step 1 took 30423ms
Step 2 took 11381ms
********** Factor found in step 2: 108347960549100002354502237645335764229
Found probable prime factor of 39 digits: 108347960549100002354502237645335764229

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 2, 2013 15:11:51 UTC 2013 年 1 月 3 日 (木) 0 時 11 分 51 秒 (日本時間)
403e61000Dmitry DomanovJanuary 3, 2013 18:16:30 UTC 2013 年 1 月 4 日 (金) 3 時 16 分 30 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovJanuary 11, 2013 21:27:23 UTC 2013 年 1 月 12 日 (土) 6 時 27 分 23 秒 (日本時間)

67×10236-319

c148

name 名前Warut Roonguthai
date 日付January 1, 2013 14:42:03 UTC 2013 年 1 月 1 日 (火) 23 時 42 分 3 秒 (日本時間)
composite number 合成数
3253357607000863077026071413949245999398244410917715735710820835516330300550179394206119776110631611948310960455277657787780473986146659437328388233<148>
prime factors 素因数
95328934222175935067062346771015789<35>
194958220372518007238416412422777288909669727<45>
175051369909631651538931044787411983953292469631547283822192814184211<69>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1325782534
Step 1 took 5460ms
Step 2 took 4337ms
********** Factor found in step 2: 95328934222175935067062346771015789
Found probable prime factor of 35 digits: 95328934222175935067062346771015789
Composite cofactor 34127703551353135122781129733442080704700938575854006815214200740085945052244330816457654126946312820080948080397 has 113 digits

N = 34127703551353135122781129733442080704700938575854006815214200740085945052244330816457654126946312820080948080397 (113 digits)
Divisors found:
r1=194958220372518007238416412422777288909669727 (pp45)
r2=175051369909631651538931044787411983953292469631547283822192814184211 (pp69)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 4.25 hours.
Factorization parameters were as follows:
n: 34127703551353135122781129733442080704700938575854006815214200740085945052244330816457654126946312820080948080397
Y0: -4738878506722478266844
Y1: 897512556007
c0: 1600460367009431318652660831
c1: 1162440493703521506787263
c2: -1366215423726787993
c3: -293955312715591
c4: 171105914
c5: 14280
skew: 89246.36  
type: gnfs
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 8475136
Relations: 589582 relations
Pruned matrix : 365855 x 366080
Polynomial selection time: 0.00 hours.
Total sieving time: 4.11 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.09 hours.
time per square root: 0.02 hours.
Prototype def-par.txt line would be: gnfs,112,5,61,2000,0.00016,0.25,250,15,50000,2800,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 4.25 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz
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
351e6418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
300Ignacio SantosDecember 31, 2012 23:10:22 UTC 2013 年 1 月 1 日 (火) 8 時 10 分 22 秒 (日本時間)
403e6110 / 2126Ignacio SantosDecember 31, 2012 23:10:22 UTC 2013 年 1 月 1 日 (火) 8 時 10 分 22 秒 (日本時間)
4511e632 / 4437Ignacio SantosDecember 31, 2012 23:10:22 UTC 2013 年 1 月 1 日 (火) 8 時 10 分 22 秒 (日本時間)

67×10237-319

c236

name 名前Warut Roonguthai
date 日付January 1, 2013 00:24:57 UTC 2013 年 1 月 1 日 (火) 9 時 24 分 57 秒 (日本時間)
composite number 合成数
36672140120415982484948002189381499726327312534209085933223864258347016967706622879036672140120415982484948002189381499726327312534209085933223864258347016967706622879036672140120415982484948002189381499726327312534209085933223864258347<236>
prime factors 素因数
436744611702623762110117678028131129529<39>
83967012157177514687012243657597090994820405871752335840501631065397401461922554893218037679093121840692212630763018785222777734168595048388890918124833604999526518212440262470910360806064210013443<197>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=527026380
Step 1 took 13120ms
Step 2 took 6973ms
********** Factor found in step 2: 436744611702623762110117678028131129529
Found probable prime factor of 39 digits: 436744611702623762110117678028131129529
Probable prime cofactor 83967012157177514687012243657597090994820405871752335840501631065397401461922554893218037679093121840692212630763018785222777734168595048388890918124833604999526518212440262470910360806064210013443 has 197 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 KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)

67×10238-319

c235

name 名前Warut Roonguthai
date 日付January 1, 2013 02:40:58 UTC 2013 年 1 月 1 日 (火) 11 時 40 分 58 秒 (日本時間)
composite number 合成数
7225511447582688968693045175623065558035955007710806992569585988978398956075361005963743030616756715951125346447097393423706148155337711777583659559783018969663636265596859598606662568615397888425162034790298402838439720901139905313447<235>
prime factors 素因数
173374072237232106505800898480969991<36>
composite cofactor 合成数の残り
41675847803216156819117229111252187034290384622054123601236847398146985541458757303343771141186833978251735988152003369564299902756337318134909041563420544610423261193233241197505685094648194587019617<200>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3774538856
Step 1 took 13026ms
Step 2 took 6974ms
********** Factor found in step 2: 173374072237232106505800898480969991
Found probable prime factor of 36 digits: 173374072237232106505800898480969991
Composite cofactor 41675847803216156819117229111252187034290384622054123601236847398146985541458757303343771141186833978251735988152003369564299902756337318134909041563420544610423261193233241197505685094648194587019617 has 200 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
351e61418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 2, 2013 15:12:21 UTC 2013 年 1 月 3 日 (木) 0 時 12 分 21 秒 (日本時間)
403e61000Dmitry DomanovJanuary 3, 2013 18:16:56 UTC 2013 年 1 月 4 日 (金) 3 時 16 分 56 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovJanuary 11, 2013 21:27:36 UTC 2013 年 1 月 12 日 (土) 6 時 27 分 36 秒 (日本時間)

67×10239-319

c187

name 名前Warut Roonguthai
date 日付December 31, 2012 21:58:02 UTC 2013 年 1 月 1 日 (火) 6 時 58 分 2 秒 (日本時間)
composite number 合成数
7777395917763402670772160095328114136342810175361724956461963805081705933659477109055036116508385022732759434985471703958829159345540236632323937060393917146734671968467894050927712403777<187>
prime factors 素因数
656063070999473129071874213<27>
composite cofactor 合成数の残り
11854646697176541033324073189491059488815300175486613833787850269546821224419182352080370994356094227135154886258862321820465261811603877531892372921573937893229<161>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=972321115
Step 1 took 8611ms
Step 2 took 5367ms
********** Factor found in step 2: 656063070999473129071874213
Found probable prime factor of 27 digits: 656063070999473129071874213
Composite cofactor 11854646697176541033324073189491059488815300175486613833787850269546821224419182352080370994356094227135154886258862321820465261811603877531892372921573937893229 has 161 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
351e61418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 1, 2013 19:57:21 UTC 2013 年 1 月 2 日 (水) 4 時 57 分 21 秒 (日本時間)
403e62800Warut RoonguthaiJanuary 1, 2013 19:57:21 UTC 2013 年 1 月 2 日 (水) 4 時 57 分 21 秒 (日本時間)
4511e61250850Serge BatalovNovember 8, 2013 17:12:47 UTC 2013 年 11 月 9 日 (土) 2 時 12 分 47 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:26:31 UTC 2014 年 1 月 6 日 (月) 11 時 26 分 31 秒 (日本時間)
5043e6800 / 7159Erik BrangerFebruary 2, 2014 11:59:41 UTC 2014 年 2 月 2 日 (日) 20 時 59 分 41 秒 (日本時間)

67×10241-319

c199

name 名前Warut Roonguthai
date 日付December 31, 2012 22:36:02 UTC 2013 年 1 月 1 日 (火) 7 時 36 分 2 秒 (日本時間)
composite number 合成数
3428670170947618565723976581913840692637053630670720633178992342007345546061007016308708586135760560648308636796070989621757700754418444322448206877863486037647276401210024347478861793828865803319141<199>
prime factors 素因数
27351224934888197661745567769520721<35>
composite cofactor 合成数の残り
125357097501477360518128860000819766869244681295750229471281156236424079015301263649641874882834798196634550055875596952613139315016719990967064900744884760200504021<165>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3288137165
Step 1 took 9874ms
Step 2 took 5835ms
********** Factor found in step 2: 27351224934888197661745567769520721
Found probable prime factor of 35 digits: 27351224934888197661745567769520721
Composite cofactor 125357097501477360518128860000819766869244681295750229471281156236424079015301263649641874882834798196634550055875596952613139315016719990967064900744884760200504021 has 165 digits
software ソフトウェア
GMP-ECM 6.3

c165

name 名前Dmitry Domanov
date 日付February 1, 2013 10:44:15 UTC 2013 年 2 月 1 日 (金) 19 時 44 分 15 秒 (日本時間)
composite number 合成数
125357097501477360518128860000819766869244681295750229471281156236424079015301263649641874882834798196634550055875596952613139315016719990967064900744884760200504021<165>
prime factors 素因数
5798144372874728411725086442118487895849<40>
21620209749852284082186931632255665900448167850710751582140730824478906613239455706663661952604505351655184602914174385735629<125>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=711002507
Step 1 took 378804ms
Step 2 took 106414ms
********** Factor found in step 2: 5798144372874728411725086442118487895849
Found probable prime factor of 40 digits: 5798144372874728411725086442118487895849

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 2, 2013 15:12:40 UTC 2013 年 1 月 3 日 (木) 0 時 12 分 40 秒 (日本時間)
403e62200Warut RoonguthaiJanuary 2, 2013 19:49:25 UTC 2013 年 1 月 3 日 (木) 4 時 49 分 25 秒 (日本時間)
4511e62000Dmitry DomanovJanuary 22, 2013 12:34:41 UTC 2013 年 1 月 22 日 (火) 21 時 34 分 41 秒 (日本時間)
5043e61120 / 7013560Dmitry DomanovJanuary 31, 2013 15:58:36 UTC 2013 年 2 月 1 日 (金) 0 時 58 分 36 秒 (日本時間)
560Dmitry DomanovJanuary 31, 2013 15:58:53 UTC 2013 年 2 月 1 日 (金) 0 時 58 分 53 秒 (日本時間)

67×10243-319

c219

composite cofactor 合成数の残り
145735491819109411916442104292764114626912061954473326251163747567171036956567405992829711076337594597882061655240969255976144911447578553233043238012592365945485198163688453428618424823431787348092772548335474411044817<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 2, 2013 15:12:49 UTC 2013 年 1 月 3 日 (木) 0 時 12 分 49 秒 (日本時間)
403e61000Dmitry DomanovJanuary 3, 2013 18:17:25 UTC 2013 年 1 月 4 日 (金) 3 時 17 分 25 秒 (日本時間)
4511e61200 / 4194Dmitry DomanovJanuary 8, 2013 13:58:04 UTC 2013 年 1 月 8 日 (火) 22 時 58 分 4 秒 (日本時間)

67×10244-319

c217

composite cofactor 合成数の残り
2252082045815316127921426037845607559248655610254433936381896116792516490878905034981659653446043672579130969009282596188557206026594641148319657120102631367795659027300866957421566121750987463014000890304545932507521<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 2, 2013 15:12:58 UTC 2013 年 1 月 3 日 (木) 0 時 12 分 58 秒 (日本時間)
403e61000Dmitry DomanovJanuary 3, 2013 18:17:40 UTC 2013 年 1 月 4 日 (金) 3 時 17 分 40 秒 (日本時間)
4511e61200 / 4194Dmitry DomanovJanuary 8, 2013 13:57:27 UTC 2013 年 1 月 8 日 (火) 22 時 57 分 27 秒 (日本時間)

67×10245-319

c223

name 名前Dmitry Domanov
date 日付January 9, 2013 19:48:13 UTC 2013 年 1 月 10 日 (木) 4 時 48 分 13 秒 (日本時間)
composite number 合成数
1635092301234063945467198391509985272478917302086306594556323694927295582755748040409874820343724686091152112671691479418046203137728800636498169684951580432153395748869530448975936377914743700521670141813792756904466447493<223>
prime factors 素因数
81459293049735716912494434255133419781<38>
composite cofactor 合成数の残り
20072507875016093941198123709798386445818990627548331026706625794252966950685585905021796632732661432018283896280786549035034114594903534813636457687928928211724949498725413040206241153<185>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3132979687
Step 1 took 108255ms
Step 2 took 35767ms
********** Factor found in step 2: 81459293049735716912494434255133419781
Found probable prime factor of 38 digits: 81459293049735716912494434255133419781

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 2, 2013 15:13:05 UTC 2013 年 1 月 3 日 (木) 0 時 13 分 5 秒 (日本時間)
403e61000Dmitry DomanovJanuary 3, 2013 18:17:58 UTC 2013 年 1 月 4 日 (金) 3 時 17 分 58 秒 (日本時間)
4511e61200 / 4194Dmitry DomanovJanuary 8, 2013 13:57:08 UTC 2013 年 1 月 8 日 (火) 22 時 57 分 8 秒 (日本時間)

67×10246-319

c198

composite cofactor 合成数の残り
454865240534812097423855177779396128807538381840800101483607818540709399387719839984071374006988722597515412432197995543857126050181969528965986836381214505288975290934490957695399582434014844908017<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 2, 2013 15:13:13 UTC 2013 年 1 月 3 日 (木) 0 時 13 分 13 秒 (日本時間)
403e61000Dmitry DomanovJanuary 3, 2013 18:18:14 UTC 2013 年 1 月 4 日 (金) 3 時 18 分 14 秒 (日本時間)
4511e61200 / 4194Dmitry DomanovJanuary 8, 2013 13:56:37 UTC 2013 年 1 月 8 日 (火) 22 時 56 分 37 秒 (日本時間)

67×10247-319

c243

name 名前Warut Roonguthai
date 日付December 31, 2012 13:36:40 UTC 2012 年 12 月 31 日 (月) 22 時 36 分 40 秒 (日本時間)
composite number 合成数
339527428495270180218118501153633120849973978009771295337680297932784717819767692292879400364155835995076345529462619297016060660882538205703959447249346409700146604903080121885279256242363800092331190256474965426479389418196947192336207154299<243>
prime factors 素因数
1700583322005022722630269443<28>
199653509535163708972069713365832179522855062948289456816660861808402053464343146734810405760567549627431659015262249897701510784566302089196863732878708747897605789218164409614146737620698555711299261304216632202793<216>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1294880906
Step 1 took 13166ms
Step 2 took 7192ms
********** Factor found in step 2: 1700583322005022722630269443
Found probable prime factor of 28 digits: 1700583322005022722630269443
Probable prime cofactor 199653509535163708972069713365832179522855062948289456816660861808402053464343146734810405760567549627431659015262249897701510784566302089196863732878708747897605789218164409614146737620698555711299261304216632202793 has 216 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 KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)

67×10248-319

c246

composite cofactor 合成数の残り
112948633658692830290463426558101114314132065611355552183954550818456143899930882179402889462061059694195788870345083362834842124782953185320049225374669161651410172120231291828924965019639575852593604072894013722416089279994605438392420640941351<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 2, 2013 15:13:21 UTC 2013 年 1 月 3 日 (木) 0 時 13 分 21 秒 (日本時間)
403e62000Dmitry DomanovJanuary 3, 2013 18:18:45 UTC 2013 年 1 月 4 日 (金) 3 時 18 分 45 秒 (日本時間)
4511e60--
5043e61140 / 7469500Dmitry DomanovJanuary 5, 2013 15:22:45 UTC 2013 年 1 月 6 日 (日) 0 時 22 分 45 秒 (日本時間)
640Dmitry DomanovJanuary 17, 2013 15:21:40 UTC 2013 年 1 月 18 日 (金) 0 時 21 分 40 秒 (日本時間)

67×10249-319

c241

name 名前Dmitry Domanov
date 日付January 5, 2013 15:36:38 UTC 2013 年 1 月 6 日 (日) 0 時 36 分 38 秒 (日本時間)
composite number 合成数
3865133209355932008719311548209299466739172273645664905160070074941234516127166293827465918832709224418630261594466039754209318894052453603830368193709258105689100456681393420117089672795673065612930560352308456546414661294408179973444623053<241>
prime factors 素因数
1321498937990485788523923244685410034393<40>
2924809924730911337948066951665330853523982750395008993666929689899074203430215119148283814575097107458052477708245855408299127186470685149668075640180444707958089619385073889514302088661712165914105621<202>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=473051302
Step 1 took 35187ms
Step 2 took 12593ms
********** Factor found in step 2: 1321498937990485788523923244685410034393
Found probable prime factor of 40 digits: 1321498937990485788523923244685410034393

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 2, 2013 15:13:34 UTC 2013 年 1 月 3 日 (木) 0 時 13 分 34 秒 (日本時間)
403e62000Dmitry DomanovJanuary 3, 2013 18:19:09 UTC 2013 年 1 月 4 日 (金) 3 時 19 分 9 秒 (日本時間)

67×10250-319

c165

name 名前Warut Roonguthai
date 日付December 31, 2012 14:46:40 UTC 2012 年 12 月 31 日 (月) 23 時 46 分 40 秒 (日本時間)
composite number 合成数
536073875402027639095235877304576386570923481773361904929790997825340936414459709873707610563531336653930222121542497475096138677397964262777852550931782106663367591<165>
prime factors 素因数
50782224696612251351973682473181<32>
10556329081773958372291171061980548831529300305753911990746732906844964450895186775087235674634635199021567242542109294273115786134611<134>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=723170135
Step 1 took 6396ms
Step 2 took 4680ms
********** Factor found in step 2: 50782224696612251351973682473181
Found probable prime factor of 32 digits: 50782224696612251351973682473181
Probable prime cofactor 10556329081773958372291171061980548831529300305753911990746732906844964450895186775087235674634635199021567242542109294273115786134611 has 134 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 KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)