Table of contents 目次

10106+3599

c99

name 名前Dmitry Domanov
date 日付December 6, 2014 15:18:48 UTC 2014 年 12 月 7 日 (日) 0 時 18 分 48 秒 (日本時間)
composite number 合成数
225248069640936782394845134856807662272594898532164196742746229420519833351567164570767165868196047<99>
prime factors 素因数
3637027068946831475701622920613903713<37>
61931920046490479169618220523217685860449327932454808030313519<62>
factorization results 素因数分解の結果
N=225248069640936782394845134856807662272594898532164196742746229420519833351567164570767165868196047
  ( 99 digits)
SNFS difficulty: 106 digits.
Divisors found:
 r1=3637027068946831475701622920613903713 (pp37)
 r2=61931920046490479169618220523217685860449327932454808030313519 (pp62)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 0.25 hours.
Scaled time: 0.54 units (timescale=2.146).
Factorization parameters were as follows:
n: 225248069640936782394845134856807662272594898532164196742746229420519833351567164570767165868196047
m: 1000000000000000000000
deg: 5
c5: 10
c0: 359
skew: 2.05
# Murphy_E = 4.697e-08
type: snfs
lss: 1
rlim: 410000
alim: 410000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 410000/410000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [205000, 355001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 46858 x 47084
Total sieving time: 0.23 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,106.000,5,0,0,0,0,0,0,0,0,410000,410000,25,25,44,44,2.2,2.2,50000
total time: 0.25 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

10116+3599

c113

name 名前KTakahashi
date 日付December 6, 2014 17:19:36 UTC 2014 年 12 月 7 日 (日) 2 時 19 分 36 秒 (日本時間)
composite number 合成数
90334236675700090334236675700090334236675700090334236675700090334236675700090334236675700090334236675700090334237<113>
prime factors 素因数
6130626137901890203623107897<28>
14734912004700314927383563543558417857551491934083297189396151740075313130337172937221<86>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0] [P-1]
Input number is 90334236675700090334236675700090334236675700090334236675700090334236675700090334236675700090334236675700090334237 (113 digits)
Using B1=500000, B2=309903324946, polynomial x^1, x0=2270268000
Step 1 took 234ms
Step 2 took 13026ms
********** Factor found in step 2: 6130626137901890203623107897
Found probable prime factor of 28 digits: 6130626137901890203623107897
Probable prime cofactor 14734912004700314927383563543558417857551491934083297189396151740075313130337172937221 has 86 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

10117+3599

c100

name 名前KTakahashi
date 日付December 6, 2014 17:20:22 UTC 2014 年 12 月 7 日 (日) 2 時 20 分 22 秒 (日本時間)
composite number 合成数
1103984268766160019804519693363315809236476871080346334765563682950724740492043364768412367035016677<100>
prime factors 素因数
6448041931392989941613110835702260360507<40>
171212327790750419222512325252591335671945177550807502057311<60>
factorization results 素因数分解の結果
Number: 11151_117
N=1103984268766160019804519693363315809236476871080346334765563682950724740492043364768412367035016677
  ( 100 digits)
SNFS difficulty: 117 digits.
Divisors found:
 r1=6448041931392989941613110835702260360507 (pp40)
 r2=171212327790750419222512325252591335671945177550807502057311 (pp60)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 2.12 hours.
Scaled time: 3.59 units (timescale=1.691).
Factorization parameters were as follows:
n: 1103984268766160019804519693363315809236476871080346334765563682950724740492043364768412367035016677
m: 100000000000000000000000
c5: 100
c0: 359
skew: 1.29
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 108725 x 108950
Total sieving time: 2.06 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,117.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.12 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

10124+3599

c117

name 名前Dmitry Domanov
date 日付December 6, 2014 23:19:04 UTC 2014 年 12 月 7 日 (日) 8 時 19 分 4 秒 (日本時間)
composite number 合成数
532404224073817632706145185247653947476513120756039553587576581689096058020560492806127504103372455992930949674437479<117>
prime factors 素因数
51162665859651539890430320690850731<35>
10406107952511678331522174436829642355367740458664218859111274935767555233507033909<83>
factorization results 素因数分解の結果
N=532404224073817632706145185247653947476513120756039553587576581689096058020560492806127504103372455992930949674437479
  ( 117 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=51162665859651539890430320690850731 (pp35)
 r2=10406107952511678331522174436829642355367740458664218859111274935767555233507033909 (pp83)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 1.22 hours.
Scaled time: 2.61 units (timescale=2.149).
Factorization parameters were as follows:
n: 532404224073817632706145185247653947476513120756039553587576581689096058020560492806127504103372455992930949674437479
m: 10000000000000000000000000
deg: 5
c5: 1
c0: 3590
skew: 5.14
# Murphy_E = 1.066e-08
type: snfs
lss: 1
rlim: 850000
alim: 850000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 850000/850000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [425000, 725001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 111436 x 111663
Total sieving time: 1.15 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,125.000,5,0,0,0,0,0,0,0,0,850000,850000,26,26,46,46,2.3,2.3,50000
total time: 1.22 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

10136+3599

c105

name 名前KTakahashi
date 日付December 6, 2014 18:20:50 UTC 2014 年 12 月 7 日 (日) 3 時 20 分 50 秒 (日本時間)
composite number 合成数
473511179898823307461326838501222996959237426620849925819374101258369405445870364952913411248681430003633<105>
prime factors 素因数
53200940630217359257933453<26>
3572201970691619307204719332743763<34>
2491580485285417148264908015699054356111743447<46>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]
Input number is 473511179898823307461326838501222996959237426620849925819374101258369405445870364952913411248681430003633 (105 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2627070771
Step 1 took 2652ms
Step 2 took 1747ms
********** Factor found in step 2: 53200940630217359257933453
Found probable prime factor of 26 digits: 53200940630217359257933453
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4166288116
Step 1 took 2262ms
Step 2 took 1435ms
********** Factor found in step 2: 3572201970691619307204719332743763
Found probable prime factor of 34 digits: 3572201970691619307204719332743763
Probable prime cofactor 2491580485285417148264908015699054356111743447 has 46 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

10139+3599

c123

name 名前Youcef Lemsafer
date 日付December 10, 2014 06:17:11 UTC 2014 年 12 月 10 日 (水) 15 時 17 分 11 秒 (日本時間)
composite number 合成数
664911336506346433628609532694233418797889544120219926216661737746525830174954605893988214796814825167867402822832025447291<123>
prime factors 素因数
90297838904873344126712280291165612343592291738141<50>
7363535435292254723752754938624327437986811157044043516185020474103468151<73>
factorization results 素因数分解の結果
Fri Oct 26 06:03:13 2012 -> factmsieve.py (v0.76)
Fri Oct 26 06:03:13 2012 -> This is client 1 of 1
Fri Oct 26 06:03:13 2012 -> Running on 4 Cores with 2 hyper-threads per Core
Fri Oct 26 06:03:13 2012 -> Working with NAME = c123
Fri Oct 26 06:03:13 2012 -> Selected lattice siever: gnfs-lasieve4I12e
Fri Oct 26 06:03:13 2012 -> Creating param file to detect parameter changes...
Fri Oct 26 06:03:13 2012 -> Running setup ...
Fri Oct 26 06:03:13 2012 -> Estimated minimum relations needed: 4.1142e+06
Fri Oct 26 06:03:13 2012 -> cleaning up before a restart
Fri Oct 26 06:03:13 2012 -> Running lattice siever ...
Fri Oct 26 06:03:13 2012 -> entering sieving loop
Fri Oct 26 06:03:13 2012 -> making sieve job for q = 650000 in 650000 .. 662500 as file c123.job.T0
<...snipped...>
Fri Oct 26 08:31:01 2012 Found 4245496 relations, 103.2% of the estimated minimum (4114202).
Fri Oct 26 08:31:02 2012  
Fri Oct 26 08:31:02 2012  
Fri Oct 26 08:31:02 2012  Msieve v. 1.50 (SVN 708)
Fri Oct 26 08:31:02 2012  random seeds: ffd061d0 e9f2d205
Fri Oct 26 08:31:02 2012  factoring 664911336506346433628609532694233418797889544120219926216661737746525830174954605893988214796814825167867402822832025447291 (123 digits)
Fri Oct 26 08:31:02 2012  searching for 15-digit factors
Fri Oct 26 08:31:03 2012  commencing number field sieve (123-digit input)
Fri Oct 26 08:31:03 2012  R0: -10000000000000000000000000000
Fri Oct 26 08:31:03 2012  R1: 1
Fri Oct 26 08:31:03 2012  A0: 3590
Fri Oct 26 08:31:03 2012  A1: 0
Fri Oct 26 08:31:03 2012  A2: 0
Fri Oct 26 08:31:03 2012  A3: 0
Fri Oct 26 08:31:03 2012  A4: 0
Fri Oct 26 08:31:03 2012  A5: 1
Fri Oct 26 08:31:03 2012  skew 5.14, size 5.943e-010, alpha 0.921, combined = 3.394e-009 rroots = 1
Fri Oct 26 08:31:03 2012  
Fri Oct 26 08:31:03 2012  commencing relation filtering
Fri Oct 26 08:31:03 2012  estimated available RAM is 4096.0 MB
Fri Oct 26 08:31:03 2012  commencing duplicate removal, pass 1
Fri Oct 26 08:31:21 2012  found 670141 hash collisions in 4245495 relations
Fri Oct 26 08:31:27 2012  added 164458 free relations
Fri Oct 26 08:31:27 2012  commencing duplicate removal, pass 2
Fri Oct 26 08:31:30 2012  found 652018 duplicates and 3757935 unique relations
Fri Oct 26 08:31:30 2012  memory use: 24.6 MB
Fri Oct 26 08:31:30 2012  reading ideals above 100000
Fri Oct 26 08:31:30 2012  commencing singleton removal, initial pass
Fri Oct 26 08:31:54 2012  memory use: 94.1 MB
Fri Oct 26 08:31:54 2012  reading all ideals from disk
Fri Oct 26 08:31:54 2012  memory use: 116.0 MB
Fri Oct 26 08:31:54 2012  keeping 3911230 ideals with weight <= 200, target excess is 21947
Fri Oct 26 08:31:54 2012  commencing in-memory singleton removal
Fri Oct 26 08:31:55 2012  begin with 3757935 relations and 3911230 unique ideals
Fri Oct 26 08:31:56 2012  reduce to 1693396 relations and 1222713 ideals in 10 passes
Fri Oct 26 08:31:56 2012  max relations containing the same ideal: 115
Fri Oct 26 08:31:56 2012  removing 586012 relations and 363400 ideals in 222612 cliques
Fri Oct 26 08:31:56 2012  commencing in-memory singleton removal
Fri Oct 26 08:31:56 2012  begin with 1107384 relations and 1222713 unique ideals
Fri Oct 26 08:31:57 2012  reduce to 1046107 relations and 789723 ideals in 6 passes
Fri Oct 26 08:31:57 2012  max relations containing the same ideal: 81
Fri Oct 26 08:31:57 2012  removing 432841 relations and 232828 ideals in 200013 cliques
Fri Oct 26 08:31:57 2012  commencing in-memory singleton removal
Fri Oct 26 08:31:57 2012  begin with 613266 relations and 789723 unique ideals
Fri Oct 26 08:31:57 2012  reduce to 578069 relations and 517955 ideals in 6 passes
Fri Oct 26 08:31:57 2012  max relations containing the same ideal: 55
Fri Oct 26 08:31:57 2012  removing 91727 relations and 57072 ideals in 34655 cliques
Fri Oct 26 08:31:57 2012  commencing in-memory singleton removal
Fri Oct 26 08:31:57 2012  begin with 486342 relations and 517955 unique ideals
Fri Oct 26 08:31:57 2012  reduce to 474051 relations and 447799 ideals in 6 passes
Fri Oct 26 08:31:57 2012  max relations containing the same ideal: 49
Fri Oct 26 08:31:58 2012  relations with 0 large ideals: 486
Fri Oct 26 08:31:58 2012  relations with 1 large ideals: 307
Fri Oct 26 08:31:58 2012  relations with 2 large ideals: 3795
Fri Oct 26 08:31:58 2012  relations with 3 large ideals: 21009
Fri Oct 26 08:31:58 2012  relations with 4 large ideals: 64315
Fri Oct 26 08:31:58 2012  relations with 5 large ideals: 116795
Fri Oct 26 08:31:58 2012  relations with 6 large ideals: 135342
Fri Oct 26 08:31:58 2012  relations with 7+ large ideals: 132002
Fri Oct 26 08:31:58 2012  commencing 2-way merge
Fri Oct 26 08:31:58 2012  reduce to 386265 relation sets and 360013 unique ideals
Fri Oct 26 08:31:58 2012  commencing full merge
Fri Oct 26 08:32:03 2012  memory use: 37.5 MB
Fri Oct 26 08:32:03 2012  found 184089 cycles, need 180213
Fri Oct 26 08:32:03 2012  weight of 180213 cycles is about 12914357 (71.66/cycle)
Fri Oct 26 08:32:03 2012  distribution of cycle lengths:
Fri Oct 26 08:32:03 2012  1 relations: 7164
Fri Oct 26 08:32:03 2012  2 relations: 15298
Fri Oct 26 08:32:03 2012  3 relations: 19962
Fri Oct 26 08:32:03 2012  4 relations: 20748
Fri Oct 26 08:32:03 2012  5 relations: 19786
Fri Oct 26 08:32:03 2012  6 relations: 18130
Fri Oct 26 08:32:03 2012  7 relations: 16386
Fri Oct 26 08:32:03 2012  8 relations: 13828
Fri Oct 26 08:32:03 2012  9 relations: 11375
Fri Oct 26 08:32:03 2012  10+ relations: 37536
Fri Oct 26 08:32:03 2012  heaviest cycle: 21 relations
Fri Oct 26 08:32:03 2012  commencing cycle optimization
Fri Oct 26 08:32:03 2012  start with 1178447 relations
Fri Oct 26 08:32:05 2012  pruned 61438 relations
Fri Oct 26 08:32:05 2012  memory use: 26.1 MB
Fri Oct 26 08:32:05 2012  distribution of cycle lengths:
Fri Oct 26 08:32:05 2012  1 relations: 7164
Fri Oct 26 08:32:05 2012  2 relations: 15846
Fri Oct 26 08:32:05 2012  3 relations: 21296
Fri Oct 26 08:32:05 2012  4 relations: 22009
Fri Oct 26 08:32:05 2012  5 relations: 21300
Fri Oct 26 08:32:05 2012  6 relations: 19131
Fri Oct 26 08:32:05 2012  7 relations: 17107
Fri Oct 26 08:32:05 2012  8 relations: 14012
Fri Oct 26 08:32:05 2012  9 relations: 11197
Fri Oct 26 08:32:05 2012  10+ relations: 31151
Fri Oct 26 08:32:05 2012  heaviest cycle: 19 relations
Fri Oct 26 08:32:05 2012  RelProcTime: 62
Fri Oct 26 08:32:05 2012  elapsed time 00:01:03
Fri Oct 26 08:32:05 2012 LatSieveTime: 559.674
Fri Oct 26 08:32:05 2012 -> Running matrix solving step ...
Fri Oct 26 08:32:05 2012  
Fri Oct 26 08:32:05 2012  
Fri Oct 26 08:32:05 2012  Msieve v. 1.50 (SVN 708)
Fri Oct 26 08:32:05 2012  random seeds: 4025e3b8 927e64c0
Fri Oct 26 08:32:05 2012  factoring 664911336506346433628609532694233418797889544120219926216661737746525830174954605893988214796814825167867402822832025447291 (123 digits)
Fri Oct 26 08:32:06 2012  searching for 15-digit factors
Fri Oct 26 08:32:07 2012  commencing number field sieve (123-digit input)
Fri Oct 26 08:32:07 2012  R0: -10000000000000000000000000000
Fri Oct 26 08:32:07 2012  R1: 1
Fri Oct 26 08:32:07 2012  A0: 3590
Fri Oct 26 08:32:07 2012  A1: 0
Fri Oct 26 08:32:07 2012  A2: 0
Fri Oct 26 08:32:07 2012  A3: 0
Fri Oct 26 08:32:07 2012  A4: 0
Fri Oct 26 08:32:07 2012  A5: 1
Fri Oct 26 08:32:07 2012  skew 5.14, size 5.943e-010, alpha 0.921, combined = 3.394e-009 rroots = 1
Fri Oct 26 08:32:07 2012  
Fri Oct 26 08:32:07 2012  commencing linear algebra
Fri Oct 26 08:32:07 2012  read 180213 cycles
Fri Oct 26 08:32:07 2012  cycles contain 461689 unique relations
Fri Oct 26 08:32:10 2012  read 461689 relations
Fri Oct 26 08:32:10 2012  using 20 quadratic characters above 66777498
Fri Oct 26 08:32:12 2012  building initial matrix
Fri Oct 26 08:32:18 2012  memory use: 53.9 MB
Fri Oct 26 08:32:18 2012  read 180213 cycles
Fri Oct 26 08:32:18 2012  matrix is 180036 x 180213 (50.6 MB) with weight 16177733 (89.77/col)
Fri Oct 26 08:32:18 2012  sparse part has weight 12015136 (66.67/col)
Fri Oct 26 08:32:19 2012  filtering completed in 2 passes
Fri Oct 26 08:32:20 2012  matrix is 180013 x 180190 (50.6 MB) with weight 16176865 (89.78/col)
Fri Oct 26 08:32:20 2012  sparse part has weight 12014807 (66.68/col)
Fri Oct 26 08:32:20 2012  matrix starts at (0, 0)
Fri Oct 26 08:32:20 2012  matrix is 180013 x 180190 (50.6 MB) with weight 16176865 (89.78/col)
Fri Oct 26 08:32:20 2012  sparse part has weight 12014807 (66.68/col)
Fri Oct 26 08:32:20 2012  saving the first 48 matrix rows for later
Fri Oct 26 08:32:20 2012  matrix includes 64 packed rows
Fri Oct 26 08:32:20 2012  matrix is 179965 x 180190 (47.6 MB) with weight 12687849 (70.41/col)
Fri Oct 26 08:32:20 2012  sparse part has weight 11391337 (63.22/col)
Fri Oct 26 08:32:20 2012  using block size 65536 for processor cache size 8192 kB
Fri Oct 26 08:32:21 2012  commencing Lanczos iteration
Fri Oct 26 08:32:21 2012  memory use: 38.1 MB
Fri Oct 26 08:32:35 2012  linear algebra at 6.7%, ETA 0h 3m
Fri Oct 26 08:35:47 2012  lanczos halted after 2847 iterations (dim = 179963)
Fri Oct 26 08:35:48 2012  recovered 36 nontrivial dependencies
Fri Oct 26 08:35:48 2012  BLanczosTime: 221
Fri Oct 26 08:35:48 2012  elapsed time 00:03:43
Fri Oct 26 08:35:48 2012 -> Running square root step ...
Fri Oct 26 08:35:48 2012  
Fri Oct 26 08:35:48 2012  
Fri Oct 26 08:35:48 2012  Msieve v. 1.50 (SVN 708)
Fri Oct 26 08:35:48 2012  random seeds: fd5c80e0 bb6fdd55
Fri Oct 26 08:35:48 2012  factoring 664911336506346433628609532694233418797889544120219926216661737746525830174954605893988214796814825167867402822832025447291 (123 digits)
Fri Oct 26 08:35:48 2012  searching for 15-digit factors
Fri Oct 26 08:35:49 2012  commencing number field sieve (123-digit input)
Fri Oct 26 08:35:49 2012  R0: -10000000000000000000000000000
Fri Oct 26 08:35:49 2012  R1: 1
Fri Oct 26 08:35:49 2012  A0: 3590
Fri Oct 26 08:35:49 2012  A1: 0
Fri Oct 26 08:35:49 2012  A2: 0
Fri Oct 26 08:35:49 2012  A3: 0
Fri Oct 26 08:35:49 2012  A4: 0
Fri Oct 26 08:35:49 2012  A5: 1
Fri Oct 26 08:35:49 2012  skew 5.14, size 5.943e-010, alpha 0.921, combined = 3.394e-009 rroots = 1
Fri Oct 26 08:35:49 2012  
Fri Oct 26 08:35:49 2012  commencing square root phase
Fri Oct 26 08:35:49 2012  reading relations for dependency 1
Fri Oct 26 08:35:49 2012  read 90148 cycles
Fri Oct 26 08:35:49 2012  cycles contain 231270 unique relations
Fri Oct 26 08:36:08 2012  read 231270 relations
Fri Oct 26 08:36:09 2012  multiplying 231270 relations
Fri Oct 26 08:36:17 2012  multiply complete, coefficients have about 4.87 million bits
Fri Oct 26 08:36:17 2012  initial square root is modulo 404941
Fri Oct 26 08:36:28 2012  sqrtTime: 39
Fri Oct 26 08:36:28 2012  prp50 factor: 90297838904873344126712280291165612343592291738141
Fri Oct 26 08:36:28 2012  prp73 factor: 7363535435292254723752754938624327437986811157044043516185020474103468151
Fri Oct 26 08:36:28 2012  elapsed time 00:00:40
Fri Oct 26 08:36:28 2012 -> Computing 1.35123e+09 scale for this machine...
Fri Oct 26 08:36:28 2012 -> procrels -speedtest> PIPE
Fri Oct 26 08:36:33 2012 -> Factorization summary written to s141-c123.txt



Number: c123
N = 664911336506346433628609532694233418797889544120219926216661737746525830174954605893988214796814825167867402822832025447291 (123 digits)
SNFS difficulty: 141 digits.
Divisors found:
r1=90297838904873344126712280291165612343592291738141 (pp50)
r2=7363535435292254723752754938624327437986811157044043516185020474103468151 (pp73)
Version: Msieve v. 1.50 (SVN 708)
Total time: 2.57 hours.
Factorization parameters were as follows:
n: 664911336506346433628609532694233418797889544120219926216661737746525830174954605893988214796814825167867402822832025447291
m: 10000000000000000000000000000
type: snfs
deg: 5
c5: 1
c0: 3590
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Sieved rational special-q in [0, 0)
Total raw relations: 4245496
Relations: 231270 relations
Pruned matrix : 179965 x 180190
Polynomial selection time: 0.00 hours.
Total sieving time: 2.48 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
time per square root: 0.01 hours.
Prototype def-par.txt line would be: snfs,141,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 2.57 hours.
Intel64 Family 6 Model 26 Stepping 5, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.80GHz
execution environment 実行環境
Windows 7 Pro 64-bit, Intel Xeon W3530@2.8GHz, 8GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

10141+3599

c128

name 名前KTakahashi
date 日付December 6, 2014 18:22:34 UTC 2014 年 12 月 7 日 (日) 3 時 22 分 34 秒 (日本時間)
composite number 合成数
13184559971792081583585768534415540651318092735694377395971889275675041123955688376347048552253698427553422215998761336866001487<128>
prime factors 素因数
2119044447539216219349580095457<31>
6221936489865949712421041143732554891591228467629801109032815910350953424630827508445611013535791<97>
factorization results 素因数分解の結果
Input number is 13184559971792081583585768534415540651318092735694377395971889275675041123955688376347048552253698427553422215998761336866001487 (128 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4250256197
Step 1 took 3104ms
Step 2 took 1966ms
********** Factor found in step 2: 2119044447539216219349580095457
Found probable prime factor of 31 digits: 2119044447539216219349580095457
Probable prime cofactor 6221936489865949712421041143732554891591228467629801109032815910350953424630827508445611013535791 has 97 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

10145+3599

c142

name 名前Erik Branger
date 日付December 8, 2014 21:26:38 UTC 2014 年 12 月 9 日 (火) 6 時 26 分 38 秒 (日本時間)
composite number 合成数
3549875754348597799077032303869364572239971600993965211217607383741569045083422080227192048278310259140930067447639332623358182463613773517927<142>
prime factors 素因数
514088412952480077471937480112270899668106261387<48>
6905185304529965490177682846991358766554102086293221391289380307840302527026418458523448102421<94>
factorization results 素因数分解の結果
Number: 11151_145
N = 3549875754348597799077032303869364572239971600993965211217607383741569045083422080227192048278310259140930067447639332623358182463613773517927 (142 digits)
SNFS difficulty: 146 digits.
Divisors found:
r1=514088412952480077471937480112270899668106261387 (pp48)
r2=6905185304529965490177682846991358766554102086293221391289380307840302527026418458523448102421 (pp94)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 3.35 hours.
Factorization parameters were as follows:
n: 3549875754348597799077032303869364572239971600993965211217607383741569045083422080227192048278310259140930067447639332623358182463613773517927
m: 100000000000000000000000000000
deg: 5
c5: 1
c0: 359
skew: 3.24
# Murphy_E = 2.207e-09
type: snfs
lss: 1
rlim: 1830000
alim: 1830000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1830000/1830000
Large primes per side: 3
Large prime bits: 26/26
Sieved rational special-q in [0, 0)
Total raw relations: 5148855
Relations: 364580 relations
Pruned matrix : 244765 x 244990
Polynomial selection time: 0.00 hours.
Total sieving time: 3.28 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
time per square root: 0.01 hours.
Prototype def-par.txt line would be: snfs,146,5,0,0,0,0,0,0,0,0,1830000,1830000,26,26,49,49,2.3,2.3,100000
total time: 3.35 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
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
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 8, 2014 19:27:17 UTC 2014 年 12 月 9 日 (火) 4 時 27 分 17 秒 (日本時間)

10146+3599

c124

name 名前Youcef Lemsafer
date 日付December 10, 2014 06:20:16 UTC 2014 年 12 月 10 日 (水) 15 時 20 分 16 秒 (日本時間)
composite number 合成数
5883080207376203319488043606299564518015817332391046277338570917289158332612114676444689976508909023579081250067823963241469<124>
prime factors 素因数
1158694896204966531912078570137967409559<40>
5077333322727883938971695324746141810851693577322052692707511410372812200050119172491<85>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 5883080207376203319488043606299564518015817332391046277338570917289158332612114676444689976508909023579081250067823963241469 (124 digits)
Using MODMULN [mulredc:0, sqrredc:2]
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1313261601
dF=4096, k=6, d=39270, d2=13, i0=13
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
910     8615    97096   1281819 1.9e+007        3.1e+008        6.2e+009        1.7e+011        2.3e+016        3.1e+021
Step 1 took 3135ms
Using 16 small primes for NTT
Estimated memory usage: 11M
Initializing tables of differences for F took 16ms
Computing roots of F took 78ms
Building F from its roots took 125ms
Computing 1/F took 63ms
Initializing table of differences for G took 15ms
Computing roots of G took 78ms
Building G from its roots took 125ms
Computing roots of G took 62ms
Building G from its roots took 141ms
Computing G * H took 31ms
Reducing  G * H mod F took 47ms
Computing roots of G took 78ms
Building G from its roots took 125ms
Computing G * H took 31ms
Reducing  G * H mod F took 47ms
Computing roots of G took 62ms
Building G from its roots took 109ms
Computing G * H took 47ms
Reducing  G * H mod F took 31ms
Computing roots of G took 63ms
Building G from its roots took 124ms
Computing G * H took 47ms
Reducing  G * H mod F took 47ms
Computing roots of G took 78ms
Building G from its roots took 140ms
Computing G * H took 32ms
Reducing  G * H mod F took 46ms
Computing polyeval(F,G) took 219ms
Computing product of all F(g_i) took 0ms
Step 2 took 2122ms
********** Factor found in step 2: 1158694896204966531912078570137967409559
Found probable prime factor of 40 digits: 1158694896204966531912078570137967409559
Probable prime cofactor 5077333322727883938971695324746141810851693577322052692707511410372812200050119172491 has 85 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

10150+3599

c110

name 名前Youcef Lemsafer
date 日付December 10, 2014 06:23:11 UTC 2014 年 12 月 10 日 (水) 15 時 23 分 11 秒 (日本時間)
composite number 合成数
31390507213770822005534139596552628155923729651919029650211747231758747523171180703376786782960390101602552887<110>
prime factors 素因数
49916647808728546606101653842870757<35>
628858478919768355591393440667806952191758614978854291766896808310301402091<75>
factorization results 素因数分解の結果
P35:  49916647808728546606101653842870757
from http://www.factordb.com/index.php?id=1100000000543630670

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

10152+3599

c118

name 名前Youcef Lemsafer
date 日付December 10, 2014 06:27:15 UTC 2014 年 12 月 10 日 (水) 15 時 27 分 15 秒 (日本時間)
composite number 合成数
2847015191422858907316216476091570704769244545935103789600074872589632670429964886064751142720838994090301970870002699<118>
prime factors 素因数
38692783190088110353503962040285769076855269<44>
73580005279955560287524930518320774127524633611253347696955093406738759471<74>
factorization results 素因数分解の結果
Mon Oct 29 23:32:14 2012 -> factmsieve.py (v0.76)
Mon Oct 29 23:32:14 2012 -> This is client 1 of 1
Mon Oct 29 23:32:14 2012 -> Running on 4 Cores with 2 hyper-threads per Core
Mon Oct 29 23:32:14 2012 -> Working with NAME = c118
Mon Oct 29 23:32:14 2012 -> Selected lattice siever: gnfs-lasieve4I13e
Mon Oct 29 23:32:14 2012 -> Creating param file to detect parameter changes...
Mon Oct 29 23:32:14 2012 -> Running setup ...
Mon Oct 29 23:32:14 2012 -> Estimated minimum relations needed: 6.1054e+06
Mon Oct 29 23:32:14 2012 -> cleaning up before a restart
Mon Oct 29 23:32:14 2012 -> Running lattice siever ...
Mon Oct 29 23:32:14 2012 -> entering sieving loop
Mon Oct 29 23:32:14 2012 -> making sieve job for q = 1200000 in 1200000 .. 1212500 as file c118.job.T0
Mon Oct 29 23:32:14 2012 -> making sieve job for q = 1212500 in 1212500 .. 1225000 as file c118.job.T1
<...snipped...>
Tue Oct 30 05:17:11 2012 Found 6376541 relations, 104.4% of the estimated minimum (6105402).
Tue Oct 30 05:17:11 2012  
Tue Oct 30 05:17:11 2012  
Tue Oct 30 05:17:11 2012  Msieve v. 1.50 (SVN 708)
Tue Oct 30 05:17:11 2012  random seeds: 2cf7d060 3b2ed1f5
Tue Oct 30 05:17:11 2012  factoring 2847015191422858907316216476091570704769244545935103789600074872589632670429964886064751142720838994090301970870002699 (118 digits)
Tue Oct 30 05:17:11 2012  searching for 15-digit factors
Tue Oct 30 05:17:12 2012  commencing number field sieve (118-digit input)
Tue Oct 30 05:17:12 2012  R0: -1000000000000000000000000000000
Tue Oct 30 05:17:12 2012  R1: 1
Tue Oct 30 05:17:12 2012  A0: 359
Tue Oct 30 05:17:12 2012  A1: 0
Tue Oct 30 05:17:12 2012  A2: 0
Tue Oct 30 05:17:12 2012  A3: 0
Tue Oct 30 05:17:12 2012  A4: 0
Tue Oct 30 05:17:12 2012  A5: 100
Tue Oct 30 05:17:12 2012  skew 1.25, size 6.475e-011, alpha 1.124, combined = 9.783e-010 rroots = 1
Tue Oct 30 05:17:12 2012  
Tue Oct 30 05:17:12 2012  commencing relation filtering
Tue Oct 30 05:17:12 2012  estimated available RAM is 4096.0 MB
Tue Oct 30 05:17:12 2012  commencing duplicate removal, pass 1
Tue Oct 30 05:17:41 2012  found 790700 hash collisions in 6376540 relations
Tue Oct 30 05:17:54 2012  added 299386 free relations
Tue Oct 30 05:17:54 2012  commencing duplicate removal, pass 2
Tue Oct 30 05:17:57 2012  found 622094 duplicates and 6053832 unique relations
Tue Oct 30 05:17:57 2012  memory use: 24.6 MB
Tue Oct 30 05:17:57 2012  reading ideals above 100000
Tue Oct 30 05:17:57 2012  commencing singleton removal, initial pass
Tue Oct 30 05:18:42 2012  memory use: 188.3 MB
Tue Oct 30 05:18:42 2012  reading all ideals from disk
Tue Oct 30 05:18:42 2012  memory use: 205.1 MB
Tue Oct 30 05:18:43 2012  keeping 6980050 ideals with weight <= 200, target excess is 33817
Tue Oct 30 05:18:43 2012  commencing in-memory singleton removal
Tue Oct 30 05:18:43 2012  begin with 6053832 relations and 6980050 unique ideals
Tue Oct 30 05:18:46 2012  reduce to 2231117 relations and 1937456 ideals in 13 passes
Tue Oct 30 05:18:46 2012  max relations containing the same ideal: 99
Tue Oct 30 05:18:47 2012  removing 545097 relations and 417880 ideals in 127217 cliques
Tue Oct 30 05:18:47 2012  commencing in-memory singleton removal
Tue Oct 30 05:18:47 2012  begin with 1686020 relations and 1937456 unique ideals
Tue Oct 30 05:18:48 2012  reduce to 1614133 relations and 1443160 ideals in 7 passes
Tue Oct 30 05:18:48 2012  max relations containing the same ideal: 81
Tue Oct 30 05:18:49 2012  removing 426915 relations and 299698 ideals in 127217 cliques
Tue Oct 30 05:18:49 2012  commencing in-memory singleton removal
Tue Oct 30 05:18:49 2012  begin with 1187218 relations and 1443160 unique ideals
Tue Oct 30 05:18:50 2012  reduce to 1118954 relations and 1070244 ideals in 10 passes
Tue Oct 30 05:18:50 2012  max relations containing the same ideal: 63
Tue Oct 30 05:18:50 2012  removing 54647 relations and 45165 ideals in 9482 cliques
Tue Oct 30 05:18:50 2012  commencing in-memory singleton removal
Tue Oct 30 05:18:50 2012  begin with 1064307 relations and 1070244 unique ideals
Tue Oct 30 05:18:51 2012  reduce to 1062705 relations and 1023458 ideals in 6 passes
Tue Oct 30 05:18:51 2012  max relations containing the same ideal: 61
Tue Oct 30 05:18:51 2012  relations with 0 large ideals: 741
Tue Oct 30 05:18:51 2012  relations with 1 large ideals: 275
Tue Oct 30 05:18:51 2012  relations with 2 large ideals: 3581
Tue Oct 30 05:18:51 2012  relations with 3 large ideals: 25910
Tue Oct 30 05:18:51 2012  relations with 4 large ideals: 100542
Tue Oct 30 05:18:51 2012  relations with 5 large ideals: 222389
Tue Oct 30 05:18:51 2012  relations with 6 large ideals: 310507
Tue Oct 30 05:18:51 2012  relations with 7+ large ideals: 398760
Tue Oct 30 05:18:51 2012  commencing 2-way merge
Tue Oct 30 05:18:51 2012  reduce to 695303 relation sets and 656056 unique ideals
Tue Oct 30 05:18:52 2012  commencing full merge
Tue Oct 30 05:19:02 2012  memory use: 75.7 MB
Tue Oct 30 05:19:02 2012  found 353284 cycles, need 348256
Tue Oct 30 05:19:02 2012  weight of 348256 cycles is about 24504217 (70.36/cycle)
Tue Oct 30 05:19:02 2012  distribution of cycle lengths:
Tue Oct 30 05:19:02 2012  1 relations: 31222
Tue Oct 30 05:19:02 2012  2 relations: 35957
Tue Oct 30 05:19:02 2012  3 relations: 38587
Tue Oct 30 05:19:02 2012  4 relations: 37342
Tue Oct 30 05:19:02 2012  5 relations: 35354
Tue Oct 30 05:19:02 2012  6 relations: 31726
Tue Oct 30 05:19:02 2012  7 relations: 28082
Tue Oct 30 05:19:02 2012  8 relations: 23231
Tue Oct 30 05:19:02 2012  9 relations: 19556
Tue Oct 30 05:19:02 2012  10+ relations: 67199
Tue Oct 30 05:19:02 2012  heaviest cycle: 21 relations
Tue Oct 30 05:19:02 2012  commencing cycle optimization
Tue Oct 30 05:19:03 2012  start with 2133652 relations
Tue Oct 30 05:19:07 2012  pruned 69345 relations
Tue Oct 30 05:19:07 2012  memory use: 52.7 MB
Tue Oct 30 05:19:07 2012  distribution of cycle lengths:
Tue Oct 30 05:19:07 2012  1 relations: 31222
Tue Oct 30 05:19:07 2012  2 relations: 36700
Tue Oct 30 05:19:07 2012  3 relations: 39998
Tue Oct 30 05:19:07 2012  4 relations: 38645
Tue Oct 30 05:19:07 2012  5 relations: 36750
Tue Oct 30 05:19:07 2012  6 relations: 32680
Tue Oct 30 05:19:07 2012  7 relations: 28764
Tue Oct 30 05:19:07 2012  8 relations: 23401
Tue Oct 30 05:19:07 2012  9 relations: 19651
Tue Oct 30 05:19:07 2012  10+ relations: 60445
Tue Oct 30 05:19:07 2012  heaviest cycle: 21 relations
Tue Oct 30 05:19:07 2012  RelProcTime: 115
Tue Oct 30 05:19:07 2012  elapsed time 00:01:56
Tue Oct 30 05:19:07 2012 LatSieveTime: 1790.89
Tue Oct 30 05:19:07 2012 -> Running matrix solving step ...
Tue Oct 30 05:19:07 2012  
Tue Oct 30 05:19:07 2012  
Tue Oct 30 05:19:07 2012  Msieve v. 1.50 (SVN 708)
Tue Oct 30 05:19:07 2012  random seeds: 526ceafc 16f7b912
Tue Oct 30 05:19:07 2012  factoring 2847015191422858907316216476091570704769244545935103789600074872589632670429964886064751142720838994090301970870002699 (118 digits)
Tue Oct 30 05:19:08 2012  searching for 15-digit factors
Tue Oct 30 05:19:08 2012  commencing number field sieve (118-digit input)
Tue Oct 30 05:19:08 2012  R0: -1000000000000000000000000000000
Tue Oct 30 05:19:08 2012  R1: 1
Tue Oct 30 05:19:08 2012  A0: 359
Tue Oct 30 05:19:08 2012  A1: 0
Tue Oct 30 05:19:08 2012  A2: 0
Tue Oct 30 05:19:08 2012  A3: 0
Tue Oct 30 05:19:08 2012  A4: 0
Tue Oct 30 05:19:08 2012  A5: 100
Tue Oct 30 05:19:08 2012  skew 1.25, size 6.475e-011, alpha 1.124, combined = 9.783e-010 rroots = 1
Tue Oct 30 05:19:08 2012  
Tue Oct 30 05:19:08 2012  commencing linear algebra
Tue Oct 30 05:19:08 2012  read 348256 cycles
Tue Oct 30 05:19:09 2012  cycles contain 1041700 unique relations
Tue Oct 30 05:19:15 2012  read 1041700 relations
Tue Oct 30 05:19:16 2012  using 20 quadratic characters above 134206158
Tue Oct 30 05:19:21 2012  building initial matrix
Tue Oct 30 05:19:33 2012  memory use: 115.5 MB
Tue Oct 30 05:19:33 2012  read 348256 cycles
Tue Oct 30 05:19:33 2012  matrix is 348079 x 348256 (98.2 MB) with weight 30424527 (87.36/col)
Tue Oct 30 05:19:33 2012  sparse part has weight 23313310 (66.94/col)
Tue Oct 30 05:19:36 2012  filtering completed in 2 passes
Tue Oct 30 05:19:36 2012  matrix is 347999 x 348176 (98.2 MB) with weight 30422206 (87.38/col)
Tue Oct 30 05:19:36 2012  sparse part has weight 23312571 (66.96/col)
Tue Oct 30 05:19:37 2012  matrix starts at (0, 0)
Tue Oct 30 05:19:37 2012  matrix is 347999 x 348176 (98.2 MB) with weight 30422206 (87.38/col)
Tue Oct 30 05:19:37 2012  sparse part has weight 23312571 (66.96/col)
Tue Oct 30 05:19:37 2012  saving the first 48 matrix rows for later
Tue Oct 30 05:19:37 2012  matrix includes 64 packed rows
Tue Oct 30 05:19:37 2012  matrix is 347951 x 348176 (92.1 MB) with weight 24190798 (69.48/col)
Tue Oct 30 05:19:37 2012  sparse part has weight 22054983 (63.34/col)
Tue Oct 30 05:19:37 2012  using block size 65536 for processor cache size 8192 kB
Tue Oct 30 05:19:39 2012  commencing Lanczos iteration (8 threads)
Tue Oct 30 05:19:39 2012  memory use: 94.2 MB
Tue Oct 30 05:19:54 2012  linear algebra at 3.5%, ETA 0h 6m
Tue Oct 30 05:26:51 2012  lanczos halted after 5503 iterations (dim = 347949)
Tue Oct 30 05:26:52 2012  recovered 40 nontrivial dependencies
Tue Oct 30 05:26:52 2012  BLanczosTime: 464
Tue Oct 30 05:26:52 2012  elapsed time 00:07:45
Tue Oct 30 05:26:52 2012 -> Running square root step ...
Tue Oct 30 05:26:52 2012  
Tue Oct 30 05:26:52 2012  
Tue Oct 30 05:26:52 2012  Msieve v. 1.50 (SVN 708)
Tue Oct 30 05:26:52 2012  random seeds: 34e528c4 c2b0df5e
Tue Oct 30 05:26:52 2012  factoring 2847015191422858907316216476091570704769244545935103789600074872589632670429964886064751142720838994090301970870002699 (118 digits)
Tue Oct 30 05:26:53 2012  searching for 15-digit factors
Tue Oct 30 05:26:53 2012  commencing number field sieve (118-digit input)
Tue Oct 30 05:26:53 2012  R0: -1000000000000000000000000000000
Tue Oct 30 05:26:53 2012  R1: 1
Tue Oct 30 05:26:53 2012  A0: 359
Tue Oct 30 05:26:53 2012  A1: 0
Tue Oct 30 05:26:53 2012  A2: 0
Tue Oct 30 05:26:53 2012  A3: 0
Tue Oct 30 05:26:53 2012  A4: 0
Tue Oct 30 05:26:53 2012  A5: 100
Tue Oct 30 05:26:53 2012  skew 1.25, size 6.475e-011, alpha 1.124, combined = 9.783e-010 rroots = 1
Tue Oct 30 05:26:53 2012  
Tue Oct 30 05:26:53 2012  commencing square root phase
Tue Oct 30 05:26:53 2012  reading relations for dependency 1
Tue Oct 30 05:26:53 2012  read 173583 cycles
Tue Oct 30 05:26:54 2012  cycles contain 520696 unique relations
Tue Oct 30 05:26:57 2012  read 520696 relations
Tue Oct 30 05:26:59 2012  multiplying 520696 relations
Tue Oct 30 05:27:29 2012  multiply complete, coefficients have about 14.55 million bits
Tue Oct 30 05:27:29 2012  initial square root is modulo 229530881
Tue Oct 30 05:28:08 2012  GCD is 1, no factor found
Tue Oct 30 05:28:08 2012  reading relations for dependency 2
Tue Oct 30 05:28:08 2012  read 174150 cycles
Tue Oct 30 05:28:08 2012  cycles contain 520818 unique relations
Tue Oct 30 05:28:11 2012  read 520818 relations
Tue Oct 30 05:28:14 2012  multiplying 520818 relations
Tue Oct 30 05:28:43 2012  multiply complete, coefficients have about 14.55 million bits
Tue Oct 30 05:28:43 2012  initial square root is modulo 230158421
Tue Oct 30 05:29:22 2012  sqrtTime: 149
Tue Oct 30 05:29:22 2012  prp44 factor: 38692783190088110353503962040285769076855269
Tue Oct 30 05:29:22 2012  prp74 factor: 73580005279955560287524930518320774127524633611253347696955093406738759471
Tue Oct 30 05:29:22 2012  elapsed time 00:02:30
Tue Oct 30 05:29:22 2012 -> Computing 1.35157e+09 scale for this machine...
Tue Oct 30 05:29:22 2012 -> procrels -speedtest> PIPE
Tue Oct 30 05:29:27 2012 -> Factorization summary written to s153-c118.txt


Number: c118
N = 2847015191422858907316216476091570704769244545935103789600074872589632670429964886064751142720838994090301970870002699 (118 digits)
SNFS difficulty: 153 digits.
Divisors found:
r1=38692783190088110353503962040285769076855269 (pp44)
r2=73580005279955560287524930518320774127524633611253347696955093406738759471 (pp74)
Version: Msieve v. 1.50 (SVN 708)
Total time: 5.98 hours.
Factorization parameters were as follows:
n: 2847015191422858907316216476091570704769244545935103789600074872589632670429964886064751142720838994090301970870002699
m: 1000000000000000000000000000000
deg: 5
type: snfs
c5: 100
c0: 359
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [0, 0)
Total raw relations: 6376541
Relations: 520818 relations
Pruned matrix : 347951 x 348176
Polynomial selection time: 0.00 hours.
Total sieving time: 5.78 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.13 hours.
time per square root: 0.04 hours.
Prototype def-par.txt line would be: snfs,153,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 5.98 hours.
Intel64 Family 6 Model 26 Stepping 5, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.80GHz
execution environment 実行環境
Windows 7 Pro 64-bit, Intel W3530 @2.8GHz, 8 GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

10158+3599

c120

name 名前Youcef Lemsafer
date 日付December 10, 2014 10:31:47 UTC 2014 年 12 月 10 日 (水) 19 時 31 分 47 秒 (日本時間)
composite number 合成数
994508052649130145747948034387957017351892792392363706482163188412481988312947921180114869452869207568346486298654535403<120>
prime factors 素因数
398372514685032609379390549303302967643<39>
2496427378870310275156852210422174898869335873564785580396034136756774103644454321<82>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is (10^158+359)/(9*3^2*22165913574524761*56004257212647245933) (120 digits)
Using MODMULN [mulredc:0, sqrredc:2]
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1167307399
dF=16384, k=2, d=158340, d2=11, i0=8
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
324     2351    20272   201449  2247436 2.8e+007        3.9e+008        6e+009  1.1e+011        7.4e+015
Step 1 took 11980ms
Using 16 small primes for NTT
Estimated memory usage: 45M
Initializing tables of differences for F took 16ms
Computing roots of F took 405ms
Building F from its roots took 702ms
Computing 1/F took 343ms
Initializing table of differences for G took 16ms
Computing roots of G took 343ms
Building G from its roots took 749ms
Computing roots of G took 390ms
Building G from its roots took 748ms
Computing G * H took 156ms
Reducing  G * H mod F took 203ms
Computing polyeval(F,G) took 1342ms
Computing product of all F(g_i) took 0ms
Step 2 took 5460ms
********** Factor found in step 2: 398372514685032609379390549303302967643
Found probable prime factor of 39 digits: 398372514685032609379390549303302967643
Probable prime cofactor ((10^158+359)/(9*3^2*22165913574524761*56004257212647245933))/398372514685032609379390549303302967643 has 82 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

10159+3599

c151

name 名前Youcef Lemsafer
date 日付December 10, 2014 06:06:29 UTC 2014 年 12 月 10 日 (水) 15 時 6 分 29 秒 (日本時間)
composite number 合成数
6719438583918097515677743708208325737847944036913854049103789167347127413463592606835562577637653293324183339424840381584284636170991892009591030979387<151>
prime factors 素因数
46473580906846146221688072271484015281<38>
144586202586515971080073177885962848474799302241291681129405114513175855017018951673582936818718715981192473382827<114>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is (10^159+359)/(9*16535773) (151 digits)
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3212446802
dF=4096, k=6, d=39270, d2=13, i0=13
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
910     8615    97096   1281819 1.9e+007        3.1e+008        6.2e+009        1.7e+011        2.3e+016        3.1e+021
Step 1 took 3494ms
Using 19 small primes for NTT
Estimated memory usage: 12M
Initializing tables of differences for F took 15ms
Computing roots of F took 78ms
Building F from its roots took 125ms
Computing 1/F took 78ms
Initializing table of differences for G took 16ms
Computing roots of G took 62ms
Building G from its roots took 140ms
Computing roots of G took 78ms
Building G from its roots took 141ms
Computing G * H took 31ms
Reducing  G * H mod F took 47ms
Computing roots of G took 78ms
Building G from its roots took 140ms
Computing G * H took 31ms
Reducing  G * H mod F took 32ms
Computing roots of G took 78ms
Building G from its roots took 140ms
Computing G * H took 47ms
Reducing  G * H mod F took 47ms
Computing roots of G took 62ms
Building G from its roots took 140ms
Computing G * H took 47ms
Reducing  G * H mod F took 47ms
Computing roots of G took 62ms
Building G from its roots took 141ms
Computing G * H took 47ms
Reducing  G * H mod F took 46ms
Computing polyeval(F,G) took 250ms
Computing product of all F(g_i) took 0ms
Step 2 took 2246ms
********** Factor found in step 2: 46473580906846146221688072271484015281
Found probable prime factor of 38 digits: 46473580906846146221688072271484015281
Probable prime cofactor ((10^159+359)/(9*16535773))/46473580906846146221688072271484015281 has 114 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

10162+3599

c150

name 名前Youcef Lemsafer
date 日付December 11, 2014 15:01:21 UTC 2014 年 12 月 12 日 (金) 0 時 1 分 21 秒 (日本時間)
composite number 合成数
204797059440307919647378282729801495670688154831290106907969940476406078306201665570194893071513837239879625625447780372122820105731785225544170501243<150>
prime factors 素因数
96954471280339778498509814305078803707<38>
2112301338306985660767434632543048985794858420465300312269858757975766815881454649055518511453503571061817822849<112>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Resuming ECM residue saved with Prime95 
Input number is 0x1004351209B3BB1AE4B27452D0F55BE62CB8EA245FFF0502393EDD43206E189A1BFBB8166F5C351729AE06151B1BCBA40F833F53DC75955DB381B6B04747B (150 digits)
[Wed Dec 10 19:46:33 2014]
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=1000000-1000000, B2=1045563762, polynomial Dickson(6), sigma=15248575625245
dF=4096, k=6, d=39270, d2=13, i0=13
Expected number of curves to find a factor of n digits:
35    40      45      50      55      60      65      70      75      80
910     8615    97096   1281819 1.9e+007        3.1e+008        6.2e+009        1.7e+011        2.3e+016        3.1e+021
Step 1 took 0ms
Using 19 small primes for NTT
Estimated memory usage: 12M
Initializing tables of differences for F took 15ms
Computing roots of F took 141ms
Building F from its roots took 156ms
Computing 1/F took 109ms
Initializing table of differences for G took 16ms
Computing roots of G took 78ms
Building G from its roots took 187ms
Computing roots of G took 125ms
Building G from its roots took 218ms
Computing G * H took 47ms
Reducing  G * H mod F took 62ms
Computing roots of G took 109ms
Building G from its roots took 188ms
Computing G * H took 46ms
Reducing  G * H mod F took 47ms
Computing roots of G took 78ms
Building G from its roots took 156ms
Computing G * H took 47ms
Reducing  G * H mod F took 47ms
Computing roots of G took 93ms
Building G from its roots took 188ms
Computing G * H took 62ms
Reducing  G * H mod F took 78ms
Computing roots of G took 109ms
Building G from its roots took 203ms
Computing G * H took 47ms
Reducing  G * H mod F took 62ms
Computing polyeval(F,G) took 390ms
Computing product of all F(g_i) took 0ms
Step 2 took 3136ms
********** Factor found in step 2: 96954471280339778498509814305078803707
Found probable prime factor of 38 digits: 96954471280339778498509814305078803707
Probable prime cofactor (0x1004351209B3BB1AE4B27452D0F55BE62CB8EA245FFF0502393EDD43206E189A1BFBB8166F5C351729AE06151B1BCBA40F833F53DC75955DB381B6B04747B)/96954471280339778498509814305078803707 has 112 digits
software ソフトウェア
Prime95 v28.5 win64, GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

10164+3599

c98

name 名前Dmitry Domanov
date 日付December 7, 2014 11:26:12 UTC 2014 年 12 月 7 日 (日) 20 時 26 分 12 秒 (日本時間)
composite number 合成数
96637771130189327003872069154790638691937066968987201779696058350055138245719082028545691419381759<98>
prime factors 素因数
217880846414237020763072546214365083908859<42>
443534953717137343829653692679681173288875745835257393101<57>
factorization results 素因数分解の結果
N=96637771130189327003872069154790638691937066968987201779696058350055138245719082028545691419381759
  ( 98 digits)
Divisors found:
 r1=217880846414237020763072546214365083908859 (pp42)
 r2=443534953717137343829653692679681173288875745835257393101 (pp57)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 3.07 hours.
Scaled time: 4.96 units (timescale=1.613).
Factorization parameters were as follows:
n: 96637771130189327003872069154790638691937066968987201779696058350055138245719082028545691419381759
skew: 1396233.80
c0: -739928158458779782009540000
c1: -574987481075289669740
c2: -2258754223144024
c3: -3886277259
c4: 1368
Y0: -515546188331569624904101
Y1: 3975377878867
rlim: 1680000
alim: 1680000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 1680000/1680000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [840000, 1140001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 182023 x 182257
Total sieving time: 2.87 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,97,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1680000,1680000,26,26,52,52,2.5,2.5,100000
total time: 3.07 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

10166+3599

c126

name 名前Youcef Lemsafer
date 日付December 10, 2014 06:10:23 UTC 2014 年 12 月 10 日 (水) 15 時 10 分 23 秒 (日本時間)
composite number 合成数
143136928409896288643187888584254776137040451939556270896798256154640723406475027529313118099361152006378197302106318415356117<126>
prime factors 素因数
389186214993327156283845080530635814165001<42>
367785196123532951386871732047495714618553476619258577480648273050634020810743051117<84>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is (10^166+359)/(9*41*911*39779*13617367*383668867345634230468721) (126 digits)
Using MODMULN [mulredc:0, sqrredc:2]
Using B1=1000000, B2=3566371000, polynomial Dickson(6), sigma=3421601127
dF=8192, k=5, d=79170, d2=11, i0=2
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
719     6692    74894   968993  1.4e+007        2.4e+008        4.5e+009        1e+011  6.8e+015        9.3e+020
Step 1 took 3838ms
Using 16 small primes for NTT
Estimated memory usage: 22M
Initializing tables of differences for F took 16ms
Computing roots of F took 234ms
Building F from its roots took 312ms
Computing 1/F took 156ms
Initializing table of differences for G took 0ms
Computing roots of G took 171ms
Building G from its roots took 312ms
Computing roots of G took 141ms
Building G from its roots took 312ms
Computing G * H took 78ms
Reducing  G * H mod F took 78ms
Computing roots of G took 141ms
Building G from its roots took 312ms
Computing G * H took 94ms
Reducing  G * H mod F took 109ms
Computing roots of G took 172ms
Building G from its roots took 390ms
Computing G * H took 109ms
Reducing  G * H mod F took 93ms
Computing roots of G took 203ms
Building G from its roots took 312ms
Computing G * H took 94ms
Reducing  G * H mod F took 93ms
Computing polyeval(F,G) took 562ms
Computing product of all F(g_i) took 0ms
Step 2 took 4571ms
********** Factor found in step 2: 389186214993327156283845080530635814165001
Found probable prime factor of 42 digits: 389186214993327156283845080530635814165001
Probable prime cofactor ((10^166+359)/(9*41*911*39779*13617367*383668867345634230468721))/389186214993327156283845080530635814165001 has 84 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

10167+3599

c159

name 名前Youcef Lemsafer
date 日付December 11, 2014 22:51:54 UTC 2014 年 12 月 12 日 (金) 7 時 51 分 54 秒 (日本時間)
composite number 合成数
251017056475948500768374505640419778534528938618078760984227134912176900916963550187244541667366690482913968048184471069271387324054834244237833811361430089153<159>
prime factors 素因数
2480287095667632220396255459238496494387979760971197773<55>
101204839114957734082477040194457907729429596027915971398582326921081676505658866865576676183910739925061<105>
factorization results 素因数分解の結果
<Parameters used:>
#
# 11151_167, C159, SNFS_diff=167
#
n: 251017056475948500768374505640419778534528938618078760984227134912176900916963550187244541667366690482913968048184471069271387324054834244237833811361430089153
m: 1000000000000000000000000000000000
deg: 5
c5: 100
c0: 359
skew: 1.29
# Murphy_E = 2.315e-10
type: snfs
lss: 1
rlim: 4300000
alim: 4300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4

<Lattice sieving rational q from 2000000 to 5000000 with gnfs-lasieve4I13e using 6 threads took 6 hours>

<Postprocessing using 8 threads:>
Thu Dec 11 23:13:49 2014  
Thu Dec 11 23:13:49 2014  
Thu Dec 11 23:13:49 2014  Msieve v. 1.53 (SVN 965M)
Thu Dec 11 23:13:49 2014  random seeds: 18adc9f0 84aa050c
Thu Dec 11 23:13:49 2014  factoring 251017056475948500768374505640419778534528938618078760984227134912176900916963550187244541667366690482913968048184471069271387324054834244237833811361430089153 (159 digits)
Thu Dec 11 23:13:50 2014  searching for 15-digit factors
Thu Dec 11 23:13:52 2014  commencing number field sieve (159-digit input)
Thu Dec 11 23:13:52 2014  R0: -1000000000000000000000000000000000
Thu Dec 11 23:13:52 2014  R1: 1
Thu Dec 11 23:13:52 2014  A0: 359
Thu Dec 11 23:13:52 2014  A1: 0
Thu Dec 11 23:13:52 2014  A2: 0
Thu Dec 11 23:13:52 2014  A3: 0
Thu Dec 11 23:13:52 2014  A4: 0
Thu Dec 11 23:13:52 2014  A5: 100
Thu Dec 11 23:13:52 2014  skew 1.29, size 5.354e-012, alpha 1.124, combined = 2.315e-010 rroots = 1
Thu Dec 11 23:13:52 2014  
Thu Dec 11 23:13:52 2014  commencing relation filtering
Thu Dec 11 23:13:52 2014  estimated available RAM is 8189.6 MB
Thu Dec 11 23:13:52 2014  commencing duplicate removal, pass 1
Thu Dec 11 23:15:13 2014  found 1330275 hash collisions in 10242089 relations
Thu Dec 11 23:15:26 2014  added 364579 free relations
Thu Dec 11 23:15:26 2014  commencing duplicate removal, pass 2
Thu Dec 11 23:15:31 2014  found 1148324 duplicates and 9458344 unique relations
Thu Dec 11 23:15:31 2014  memory use: 49.3 MB
Thu Dec 11 23:15:31 2014  reading ideals above 100000
Thu Dec 11 23:15:31 2014  commencing singleton removal, initial pass
Thu Dec 11 23:17:05 2014  memory use: 344.5 MB
Thu Dec 11 23:17:05 2014  reading all ideals from disk
Thu Dec 11 23:17:06 2014  memory use: 342.1 MB
Thu Dec 11 23:17:06 2014  keeping 10354917 ideals with weight <= 200, target excess is 50239
Thu Dec 11 23:17:07 2014  commencing in-memory singleton removal
Thu Dec 11 23:17:08 2014  begin with 9458344 relations and 10354917 unique ideals
Thu Dec 11 23:17:14 2014  reduce to 4021541 relations and 3738641 ideals in 18 passes
Thu Dec 11 23:17:14 2014  max relations containing the same ideal: 115
Thu Dec 11 23:17:16 2014  removing 695170 relations and 582859 ideals in 112311 cliques
Thu Dec 11 23:17:16 2014  commencing in-memory singleton removal
Thu Dec 11 23:17:16 2014  begin with 3326371 relations and 3738641 unique ideals
Thu Dec 11 23:17:18 2014  reduce to 3224485 relations and 3050248 ideals in 10 passes
Thu Dec 11 23:17:18 2014  max relations containing the same ideal: 98
Thu Dec 11 23:17:20 2014  removing 545817 relations and 433506 ideals in 112311 cliques
Thu Dec 11 23:17:20 2014  commencing in-memory singleton removal
Thu Dec 11 23:17:20 2014  begin with 2678668 relations and 3050248 unique ideals
Thu Dec 11 23:17:21 2014  reduce to 2602952 relations and 2538423 ideals in 9 passes
Thu Dec 11 23:17:21 2014  max relations containing the same ideal: 88
Thu Dec 11 23:17:23 2014  relations with 0 large ideals: 1126
Thu Dec 11 23:17:23 2014  relations with 1 large ideals: 289
Thu Dec 11 23:17:23 2014  relations with 2 large ideals: 4856
Thu Dec 11 23:17:23 2014  relations with 3 large ideals: 40850
Thu Dec 11 23:17:23 2014  relations with 4 large ideals: 184545
Thu Dec 11 23:17:23 2014  relations with 5 large ideals: 475088
Thu Dec 11 23:17:23 2014  relations with 6 large ideals: 753650
Thu Dec 11 23:17:23 2014  relations with 7+ large ideals: 1142548
Thu Dec 11 23:17:23 2014  commencing 2-way merge
Thu Dec 11 23:17:24 2014  reduce to 1556304 relation sets and 1491774 unique ideals
Thu Dec 11 23:17:24 2014  commencing full merge
Thu Dec 11 23:17:46 2014  memory use: 189.3 MB
Thu Dec 11 23:17:47 2014  found 784839 cycles, need 771974
Thu Dec 11 23:17:47 2014  weight of 771974 cycles is about 54331027 (70.38/cycle)
Thu Dec 11 23:17:47 2014  distribution of cycle lengths:
Thu Dec 11 23:17:47 2014  1 relations: 90963
Thu Dec 11 23:17:47 2014  2 relations: 84388
Thu Dec 11 23:17:47 2014  3 relations: 84248
Thu Dec 11 23:17:47 2014  4 relations: 77874
Thu Dec 11 23:17:47 2014  5 relations: 72757
Thu Dec 11 23:17:47 2014  6 relations: 64140
Thu Dec 11 23:17:47 2014  7 relations: 56091
Thu Dec 11 23:17:47 2014  8 relations: 49438
Thu Dec 11 23:17:47 2014  9 relations: 41866
Thu Dec 11 23:17:47 2014  10+ relations: 150209
Thu Dec 11 23:17:47 2014  heaviest cycle: 22 relations
Thu Dec 11 23:17:47 2014  commencing cycle optimization
Thu Dec 11 23:17:48 2014  start with 4628916 relations
Thu Dec 11 23:17:55 2014  pruned 114675 relations
Thu Dec 11 23:17:55 2014  memory use: 151.5 MB
Thu Dec 11 23:17:55 2014  distribution of cycle lengths:
Thu Dec 11 23:17:55 2014  1 relations: 90963
Thu Dec 11 23:17:55 2014  2 relations: 86158
Thu Dec 11 23:17:55 2014  3 relations: 87135
Thu Dec 11 23:17:55 2014  4 relations: 79626
Thu Dec 11 23:17:55 2014  5 relations: 74662
Thu Dec 11 23:17:55 2014  6 relations: 65386
Thu Dec 11 23:17:55 2014  7 relations: 57085
Thu Dec 11 23:17:55 2014  8 relations: 49741
Thu Dec 11 23:17:55 2014  9 relations: 41685
Thu Dec 11 23:17:55 2014  10+ relations: 139533
Thu Dec 11 23:17:55 2014  heaviest cycle: 21 relations
Thu Dec 11 23:17:56 2014  RelProcTime: 244
Thu Dec 11 23:17:56 2014  elapsed time 00:04:07
<...snipped...>
Thu Dec 11 23:18:36 2014  commencing linear algebra
Thu Dec 11 23:18:36 2014  read 771974 cycles
Thu Dec 11 23:18:37 2014  cycles contain 2511651 unique relations
Thu Dec 11 23:18:57 2014  read 2511651 relations
Thu Dec 11 23:19:00 2014  using 20 quadratic characters above 134214762
Thu Dec 11 23:19:11 2014  building initial matrix
Thu Dec 11 23:19:32 2014  memory use: 305.2 MB
Thu Dec 11 23:19:32 2014  read 771974 cycles
Thu Dec 11 23:19:32 2014  matrix is 771795 x 771974 (231.5 MB) with weight 67795928 (87.82/col)
Thu Dec 11 23:19:32 2014  sparse part has weight 52198095 (67.62/col)
Thu Dec 11 23:19:37 2014  filtering completed in 2 passes
Thu Dec 11 23:19:38 2014  matrix is 770923 x 771102 (231.4 MB) with weight 67764246 (87.88/col)
Thu Dec 11 23:19:38 2014  sparse part has weight 52184267 (67.67/col)
Thu Dec 11 23:19:39 2014  matrix starts at (0, 0)
Thu Dec 11 23:19:39 2014  matrix is 770923 x 771102 (231.4 MB) with weight 67764246 (87.88/col)
Thu Dec 11 23:19:39 2014  sparse part has weight 52184267 (67.67/col)
Thu Dec 11 23:19:39 2014  saving the first 48 matrix rows for later
Thu Dec 11 23:19:39 2014  matrix includes 64 packed rows
Thu Dec 11 23:19:39 2014  matrix is 770875 x 771102 (218.3 MB) with weight 54031959 (70.07/col)
Thu Dec 11 23:19:39 2014  sparse part has weight 49522847 (64.22/col)
Thu Dec 11 23:19:39 2014  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Thu Dec 11 23:19:42 2014  commencing Lanczos iteration (8 threads)
Thu Dec 11 23:19:42 2014  memory use: 173.4 MB
Thu Dec 11 23:19:47 2014  linear algebra at 0.4%, ETA 0h16m
Thu Dec 11 23:38:16 2014  lanczos halted after 12190 iterations (dim = 770873)
Thu Dec 11 23:38:17 2014  recovered 38 nontrivial dependencies
Thu Dec 11 23:38:17 2014  BLanczosTime: 1181
Thu Dec 11 23:38:17 2014  
Thu Dec 11 23:38:17 2014  commencing square root phase
Thu Dec 11 23:38:17 2014  reading relations for dependency 1
Thu Dec 11 23:38:18 2014  read 385326 cycles
Thu Dec 11 23:38:18 2014  cycles contain 1256376 unique relations
Thu Dec 11 23:38:29 2014  read 1256376 relations
Thu Dec 11 23:38:34 2014  multiplying 1256376 relations
Thu Dec 11 23:39:28 2014  multiply complete, coefficients have about 35.82 million bits
Thu Dec 11 23:39:29 2014  initial square root is modulo 139021
Thu Dec 11 23:40:42 2014  sqrtTime: 145
Thu Dec 11 23:40:42 2014  prp55 factor: 2480287095667632220396255459238496494387979760971197773
Thu Dec 11 23:40:42 2014  prp105 factor: 101204839114957734082477040194457907729429596027915971398582326921081676505658866865576676183910739925061
Thu Dec 11 23:40:42 2014  elapsed time 00:22:09
software ソフトウェア
GGNFS-SVN440, msieve 1.53 (SVN 965)
execution environment 実行環境
Windows 7 Pro 64-bit, 8 GB RAM, Intel Xeon W3530 @2.8GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6818118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
700Youcef LemsaferDecember 10, 2014 20:58:40 UTC 2014 年 12 月 11 日 (木) 5 時 58 分 40 秒 (日本時間)
403e62500Youcef LemsaferDecember 11, 2014 06:39:11 UTC 2014 年 12 月 11 日 (木) 15 時 39 分 11 秒 (日本時間)
4511e6404 / 3890Youcef LemsaferDecember 11, 2014 13:10:00 UTC 2014 年 12 月 11 日 (木) 22 時 10 分 0 秒 (日本時間)

10170+3599

c104

name 名前Dmitry Domanov
date 日付December 8, 2014 08:19:56 UTC 2014 年 12 月 8 日 (月) 17 時 19 分 56 秒 (日本時間)
composite number 合成数
11995062499509524407939293257370790696195137612066577176416289113499202752015595232629337949635839260523<104>
prime factors 素因数
378207068104052574976012115801235768110431<42>
31715595796875575573262429626608666788746758158825439646377333<62>
factorization results 素因数分解の結果
N=11995062499509524407939293257370790696195137612066577176416289113499202752015595232629337949635839260523
  ( 104 digits)
Divisors found:
 r1=378207068104052574976012115801235768110431 (pp42)
 r2=31715595796875575573262429626608666788746758158825439646377333 (pp62)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 5.16 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 11995062499509524407939293257370790696195137612066577176416289113499202752015595232629337949635839260523
skew: 1620138.55
c0: -6996164555831028134527988325
c1: -49749118551118008829266
c2: -17751445706672983
c3: 4832593586
c4: 9768
Y0: -5919692412297705596725538
Y1: 8235294492725
rlim: 2360000
alim: 2360000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 2360000/2360000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1180000, 1680001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 307334 x 307570
Total sieving time: 4.78 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.18 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
gnfs,103,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2360000,2360000,26,26,52,52,2.5,2.5,100000
total time: 5.16 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

10171+3599

c119

name 名前Youcef Lemsafer
date 日付December 12, 2014 05:32:10 UTC 2014 年 12 月 12 日 (金) 14 時 32 分 10 秒 (日本時間)
composite number 合成数
18197347658614979676080045013615357350884621078374509056790476989138294612430643903523258691450810401608375439159226373<119>
prime factors 素因数
163991994395996894031518896127888009860279941943<48>
110964853654217060634972517647312775484235831632803381517075445311055011<72>
factorization results 素因数分解の結果
Thu Dec 11 23:57:56 2014 -> factmsieve.py (v0.76)
Thu Dec 11 23:57:56 2014 -> This is client 1 of 1
Thu Dec 11 23:57:56 2014 -> Running on 4 Cores with 2 hyper-threads per Core
Thu Dec 11 23:57:56 2014 -> Working with NAME = 11151_171
Thu Dec 11 23:57:56 2014 -> Running polynomial selection ...
Thu Dec 11 23:57:56 2014  
Thu Dec 11 23:57:56 2014  
Thu Dec 11 23:57:56 2014  Msieve v. 1.53 (SVN 965M)
Thu Dec 11 23:57:56 2014  random seeds: 12a842ec 3059824b
Thu Dec 11 23:57:56 2014  factoring 18197347658614979676080045013615357350884621078374509056790476989138294612430643903523258691450810401608375439159226373 (119 digits)
Thu Dec 11 23:57:57 2014  searching for 15-digit factors
Thu Dec 11 23:57:58 2014  commencing number field sieve (119-digit input)
Thu Dec 11 23:57:58 2014  commencing number field sieve polynomial selection
Thu Dec 11 23:57:58 2014  polynomial degree: 5
Thu Dec 11 23:57:58 2014  max stage 1 norm: 5.86e+017
Thu Dec 11 23:57:58 2014  max stage 2 norm: 1.88e+016
Thu Dec 11 23:57:58 2014  min E-value: 2.68e-010
Thu Dec 11 23:57:58 2014  poly select deadline: 11772
Thu Dec 11 23:57:58 2014  time limit set to 3.27 CPU-hours
Thu Dec 11 23:57:58 2014  expecting poly E from 3.54e-010 to > 4.08e-010
Thu Dec 11 23:57:58 2014  searching leading coefficients from 1 to 272821
Fri Dec 12 03:17:48 2014  polynomial selection complete
Fri Dec 12 03:17:48 2014  R0: -133323025082178975077932
Fri Dec 12 03:17:48 2014  R1: 259315266601
Fri Dec 12 03:17:48 2014  A0: 208734862665694804142332390173
Fri Dec 12 03:17:48 2014  A1: 18273359429268965576602212
Fri Dec 12 03:17:48 2014  A2: 102929412651812773009
Fri Dec 12 03:17:48 2014  A3: -44937062679794
Fri Dec 12 03:17:48 2014  A4: -741774432
Fri Dec 12 03:17:48 2014  A5: 432
Fri Dec 12 03:17:48 2014  skew 397325.74, size 2.604e-011, alpha -7.040, combined = 3.771e-010 rroots = 3
Fri Dec 12 03:17:48 2014  elapsed time 03:19:52
Fri Dec 12 03:17:48 2014 -> Selected lattice siever: gnfs-lasieve4I13e
Fri Dec 12 03:17:48 2014 -> Creating param file to detect parameter changes...
Fri Dec 12 03:17:48 2014 -> Running setup ...
Fri Dec 12 03:17:48 2014 -> Estimated minimum relations needed: 8.7e+06
Fri Dec 12 03:17:48 2014 -> cleaning up before a restart
Fri Dec 12 03:17:48 2014 -> Running lattice siever ...
<...snipped...>
Fri Dec 12 03:17:48 2014 -> entering sieving loop
<...snipped...>
Fri Dec 12 03:17:48 2014 -> Lattice sieving algebraic q from 2000000 to 2100000.
<...snipped...>
Fri Dec 12 03:30:05 2014 Found 792144 relations, 9.1% of the estimated minimum (8700000).
<...snipped...>
Fri Dec 12 05:44:13 2014 -> Lattice sieving algebraic q from 3100000 to 3200000.
<...snipped...>
Fri Dec 12 05:57:53 2014 Found 9713966 relations, 111.7% of the estimated minimum (8700000).
Fri Dec 12 05:57:53 2014  
Fri Dec 12 05:57:53 2014  
Fri Dec 12 05:57:53 2014  Msieve v. 1.53 (SVN 965M)
Fri Dec 12 05:57:53 2014  random seeds: 3ed2904c 62f45801
Fri Dec 12 05:57:53 2014  factoring 18197347658614979676080045013615357350884621078374509056790476989138294612430643903523258691450810401608375439159226373 (119 digits)
Fri Dec 12 05:57:53 2014  searching for 15-digit factors
Fri Dec 12 05:57:55 2014  commencing number field sieve (119-digit input)
Fri Dec 12 05:57:55 2014  R0: -133323025082178975077932
Fri Dec 12 05:57:55 2014  R1: 259315266601
Fri Dec 12 05:57:55 2014  A0: 208734862665694804142332390173
Fri Dec 12 05:57:55 2014  A1: 18273359429268965576602212
Fri Dec 12 05:57:55 2014  A2: 102929412651812773009
Fri Dec 12 05:57:55 2014  A3: -44937062679794
Fri Dec 12 05:57:55 2014  A4: -741774432
Fri Dec 12 05:57:55 2014  A5: 432
Fri Dec 12 05:57:55 2014  skew 397325.74, size 2.604e-011, alpha -7.040, combined = 3.771e-010 rroots = 3
Fri Dec 12 05:57:55 2014  
Fri Dec 12 05:57:55 2014  commencing relation filtering
Fri Dec 12 05:57:55 2014  estimated available RAM is 8189.6 MB
Fri Dec 12 05:57:55 2014  commencing duplicate removal, pass 1
Fri Dec 12 05:59:11 2014  found 801134 hash collisions in 9713965 relations
Fri Dec 12 05:59:25 2014  added 304 free relations
Fri Dec 12 05:59:25 2014  commencing duplicate removal, pass 2
Fri Dec 12 05:59:29 2014  found 547274 duplicates and 9166995 unique relations
Fri Dec 12 05:59:29 2014  memory use: 32.6 MB
Fri Dec 12 05:59:29 2014  reading ideals above 100000
Fri Dec 12 05:59:29 2014  commencing singleton removal, initial pass
Fri Dec 12 06:00:56 2014  memory use: 344.5 MB
Fri Dec 12 06:00:56 2014  reading all ideals from disk
Fri Dec 12 06:00:56 2014  memory use: 317.9 MB
Fri Dec 12 06:00:56 2014  keeping 10291919 ideals with weight <= 200, target excess is 47447
Fri Dec 12 06:00:57 2014  commencing in-memory singleton removal
Fri Dec 12 06:00:58 2014  begin with 9166995 relations and 10291919 unique ideals
Fri Dec 12 06:01:03 2014  reduce to 2919735 relations and 2835727 ideals in 21 passes
Fri Dec 12 06:01:03 2014  max relations containing the same ideal: 92
Fri Dec 12 06:01:04 2014  removing 224063 relations and 209578 ideals in 14485 cliques
Fri Dec 12 06:01:04 2014  commencing in-memory singleton removal
Fri Dec 12 06:01:04 2014  begin with 2695672 relations and 2835727 unique ideals
Fri Dec 12 06:01:05 2014  reduce to 2680561 relations and 2610917 ideals in 10 passes
Fri Dec 12 06:01:05 2014  max relations containing the same ideal: 90
Fri Dec 12 06:01:06 2014  removing 160631 relations and 146146 ideals in 14485 cliques
Fri Dec 12 06:01:06 2014  commencing in-memory singleton removal
Fri Dec 12 06:01:06 2014  begin with 2519930 relations and 2610917 unique ideals
Fri Dec 12 06:01:08 2014  reduce to 2511095 relations and 2455876 ideals in 10 passes
Fri Dec 12 06:01:08 2014  max relations containing the same ideal: 86
Fri Dec 12 06:01:09 2014  relations with 0 large ideals: 137
Fri Dec 12 06:01:09 2014  relations with 1 large ideals: 484
Fri Dec 12 06:01:09 2014  relations with 2 large ideals: 7799
Fri Dec 12 06:01:09 2014  relations with 3 large ideals: 60859
Fri Dec 12 06:01:09 2014  relations with 4 large ideals: 251717
Fri Dec 12 06:01:09 2014  relations with 5 large ideals: 579568
Fri Dec 12 06:01:09 2014  relations with 6 large ideals: 760745
Fri Dec 12 06:01:09 2014  relations with 7+ large ideals: 849786
Fri Dec 12 06:01:09 2014  commencing 2-way merge
Fri Dec 12 06:01:10 2014  reduce to 1359683 relation sets and 1304465 unique ideals
Fri Dec 12 06:01:10 2014  ignored 2 oversize relation sets
Fri Dec 12 06:01:10 2014  commencing full merge
Fri Dec 12 06:01:27 2014  memory use: 140.5 MB
Fri Dec 12 06:01:27 2014  found 671800 cycles, need 666665
Fri Dec 12 06:01:27 2014  weight of 666665 cycles is about 46869272 (70.30/cycle)
Fri Dec 12 06:01:27 2014  distribution of cycle lengths:
Fri Dec 12 06:01:27 2014  1 relations: 81887
Fri Dec 12 06:01:27 2014  2 relations: 81111
Fri Dec 12 06:01:27 2014  3 relations: 80607
Fri Dec 12 06:01:27 2014  4 relations: 70327
Fri Dec 12 06:01:27 2014  5 relations: 59414
Fri Dec 12 06:01:27 2014  6 relations: 51012
Fri Dec 12 06:01:27 2014  7 relations: 43237
Fri Dec 12 06:01:27 2014  8 relations: 35474
Fri Dec 12 06:01:27 2014  9 relations: 29412
Fri Dec 12 06:01:27 2014  10+ relations: 134184
Fri Dec 12 06:01:27 2014  heaviest cycle: 25 relations
Fri Dec 12 06:01:27 2014  commencing cycle optimization
Fri Dec 12 06:01:28 2014  start with 4072604 relations
Fri Dec 12 06:01:33 2014  pruned 69957 relations
Fri Dec 12 06:01:33 2014  memory use: 141.7 MB
Fri Dec 12 06:01:33 2014  distribution of cycle lengths:
Fri Dec 12 06:01:33 2014  1 relations: 81887
Fri Dec 12 06:01:33 2014  2 relations: 82671
Fri Dec 12 06:01:33 2014  3 relations: 82864
Fri Dec 12 06:01:33 2014  4 relations: 71217
Fri Dec 12 06:01:33 2014  5 relations: 60350
Fri Dec 12 06:01:33 2014  6 relations: 51211
Fri Dec 12 06:01:33 2014  7 relations: 43086
Fri Dec 12 06:01:33 2014  8 relations: 35252
Fri Dec 12 06:01:33 2014  9 relations: 28962
Fri Dec 12 06:01:33 2014  10+ relations: 129165
Fri Dec 12 06:01:33 2014  heaviest cycle: 25 relations
Fri Dec 12 06:01:34 2014  RelProcTime: 219
Fri Dec 12 06:01:34 2014  elapsed time 00:03:41
Fri Dec 12 06:01:34 2014 LatSieveTime: 1040.7
Fri Dec 12 06:01:34 2014 -> Running matrix solving step ...
<...snipped...>
Fri Dec 12 06:01:36 2014  commencing linear algebra
Fri Dec 12 06:01:36 2014  read 666665 cycles
Fri Dec 12 06:01:37 2014  cycles contain 2431513 unique relations
Fri Dec 12 06:01:57 2014  read 2431513 relations
Fri Dec 12 06:01:59 2014  using 20 quadratic characters above 134217278
Fri Dec 12 06:02:09 2014  building initial matrix
Fri Dec 12 06:02:29 2014  memory use: 305.3 MB
Fri Dec 12 06:02:29 2014  read 666665 cycles
Fri Dec 12 06:02:29 2014  matrix is 666486 x 666665 (203.5 MB) with weight 63591894 (95.39/col)
Fri Dec 12 06:02:29 2014  sparse part has weight 45336426 (68.00/col)
Fri Dec 12 06:02:34 2014  filtering completed in 2 passes
Fri Dec 12 06:02:34 2014  matrix is 664770 x 664949 (203.3 MB) with weight 63518020 (95.52/col)
Fri Dec 12 06:02:34 2014  sparse part has weight 45313186 (68.15/col)
Fri Dec 12 06:02:35 2014  matrix starts at (0, 0)
Fri Dec 12 06:02:35 2014  matrix is 664770 x 664949 (203.3 MB) with weight 63518020 (95.52/col)
Fri Dec 12 06:02:35 2014  sparse part has weight 45313186 (68.15/col)
Fri Dec 12 06:02:35 2014  saving the first 48 matrix rows for later
Fri Dec 12 06:02:36 2014  matrix includes 64 packed rows
Fri Dec 12 06:02:36 2014  matrix is 664722 x 664949 (194.8 MB) with weight 50766540 (76.35/col)
Fri Dec 12 06:02:36 2014  sparse part has weight 44421258 (66.80/col)
Fri Dec 12 06:02:36 2014  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Fri Dec 12 06:02:39 2014  commencing Lanczos iteration (8 threads)
Fri Dec 12 06:02:39 2014  memory use: 151.1 MB
Fri Dec 12 06:02:42 2014  linear algebra at 0.5%, ETA 0h10m
Fri Dec 12 06:15:37 2014  lanczos halted after 10512 iterations (dim = 664721)
Fri Dec 12 06:15:38 2014  recovered 30 nontrivial dependencies
Fri Dec 12 06:15:38 2014  BLanczosTime: 842
Fri Dec 12 06:15:38 2014  elapsed time 00:14:04
Fri Dec 12 06:15:38 2014 -> Running square root step ...
<...snipped...>
Fri Dec 12 06:15:40 2014  commencing square root phase
Fri Dec 12 06:15:40 2014  reading relations for dependency 1
Fri Dec 12 06:15:40 2014  read 332092 cycles
Fri Dec 12 06:15:40 2014  cycles contain 1215520 unique relations
Fri Dec 12 06:15:51 2014  read 1215520 relations
Fri Dec 12 06:15:55 2014  multiplying 1215520 relations
Fri Dec 12 06:17:09 2014  multiply complete, coefficients have about 49.09 million bits
Fri Dec 12 06:17:09 2014  initial square root is modulo 11163557
Fri Dec 12 06:18:50 2014  sqrtTime: 190
Fri Dec 12 06:18:50 2014  prp48 factor: 163991994395996894031518896127888009860279941943
Fri Dec 12 06:18:50 2014  prp72 factor: 110964853654217060634972517647312775484235831632803381517075445311055011
Fri Dec 12 06:18:50 2014  elapsed time 00:03:12
Fri Dec 12 06:18:50 2014 -> Computing 1.41836e+09 scale for this machine...
Fri Dec 12 06:18:50 2014 -> procrels -speedtest> PIPE
Fri Dec 12 06:18:53 2014 -> Factorization summary written to g119-11151_171.txt



Number: 11151_171
N = 18197347658614979676080045013615357350884621078374509056790476989138294612430643903523258691450810401608375439159226373 (119 digits)
Divisors found:
r1=163991994395996894031518896127888009860279941943 (pp48)
r2=110964853654217060634972517647312775484235831632803381517075445311055011 (pp72)
Version: Msieve v. 1.53 (SVN 965M)
Total time: 6.41 hours.
Factorization parameters were as follows:
n: 18197347658614979676080045013615357350884621078374509056790476989138294612430643903523258691450810401608375439159226373
Y0: -133323025082178975077932
Y1: 259315266601
c0: 208734862665694804142332390173
c1: 18273359429268965576602212
c2: 102929412651812773009
c3: -44937062679794
c4: -741774432
c5: 432
skew: 397325.74 
type: gnfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 9713966
Relations: 1215520 relations
Pruned matrix : 664722 x 664949
Polynomial selection time: 3.33 hours.
Total sieving time: 2.73 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.23 hours.
time per square root: 0.05 hours.
Prototype def-par.txt line would be: gnfs,118,5,63,2000,2.6e-05,0.28,250,20,50000,3600,4000000,4000000,27,27,53,53,2.5,2.5,100000
total time: 6.41 hours.
Intel64 Family 6 Model 26 Stepping 5, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.80GHz
software ソフトウェア
GGNFS-SVN440, msieve 1.53 (SVN 965)
execution environment 実行環境
Windows 7 Pro 64-bit, 8GB RAM, Intel Xeon W3530 @2.8GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 9, 2014 00:57:17 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 17 秒 (日本時間)

10172+3599

c140

name 名前Youcef Lemsafer
date 日付December 13, 2014 08:08:03 UTC 2014 年 12 月 13 日 (土) 17 時 8 分 3 秒 (日本時間)
composite number 合成数
24937297344329720158186949710889493731691462589768254440983523308459760306647041449390787246297498106313127041872431426682155888379152952427<140>
prime factors 素因数
383554791232024627923301155289446036047638091<45>
65016258209754306101480642848720255249824821835264203153334627290447773272660076098431014233697<95>
factorization results 素因数分解の結果
<Parameters used are as follows:>
#
# 11151_172, C140, SNFS_diff=172
#
n: 24937297344329720158186949710889493731691462589768254440983523308459760306647041449390787246297498106313127041872431426682155888379152952427
m: 10000000000000000000000000000000000
deg: 5
c5: 100
c0: 359
skew: 1.29
# Murphy_E = 1.469e-10
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4


<Lattice sieving rational q from 2300000 to 6800000 with gnfs-lasieve4I13e using 6 threads on Intel Xeon W3530 @2.8GHz took ~9.5h.>

<Post-processing using 8 threads on Intel Xeon W3530 @2.8GHz:>

Sat Dec 13 06:27:23 2014  
Sat Dec 13 06:27:23 2014  Msieve v. 1.53 (SVN 965M)
Sat Dec 13 06:27:23 2014  random seeds: 3474f400 eb85bd51
Sat Dec 13 06:27:23 2014  factoring 24937297344329720158186949710889493731691462589768254440983523308459760306647041449390787246297498106313127041872431426682155888379152952427 (140 digits)
Sat Dec 13 06:27:24 2014  searching for 15-digit factors
Sat Dec 13 06:27:26 2014  commencing number field sieve (140-digit input)
Sat Dec 13 06:27:26 2014  R0: -10000000000000000000000000000000000
Sat Dec 13 06:27:26 2014  R1: 1
Sat Dec 13 06:27:26 2014  A0: 359
Sat Dec 13 06:27:26 2014  A1: 0
Sat Dec 13 06:27:26 2014  A2: 0
Sat Dec 13 06:27:26 2014  A3: 0
Sat Dec 13 06:27:26 2014  A4: 0
Sat Dec 13 06:27:26 2014  A5: 100
Sat Dec 13 06:27:26 2014  skew 1.29, size 2.485e-012, alpha 1.124, combined = 1.469e-010 rroots = 1
Sat Dec 13 06:27:26 2014  
Sat Dec 13 06:27:26 2014  commencing relation filtering
Sat Dec 13 06:27:26 2014  estimated available RAM is 8189.6 MB
Sat Dec 13 06:27:26 2014  commencing duplicate removal, pass 1
Sat Dec 13 06:28:57 2014  found 1751391 hash collisions in 11919043 relations
Sat Dec 13 06:29:10 2014  added 373008 free relations
Sat Dec 13 06:29:10 2014  commencing duplicate removal, pass 2
Sat Dec 13 06:29:16 2014  found 1546974 duplicates and 10745077 unique relations
Sat Dec 13 06:29:16 2014  memory use: 53.3 MB
Sat Dec 13 06:29:16 2014  reading ideals above 720000
Sat Dec 13 06:29:16 2014  commencing singleton removal, initial pass
Sat Dec 13 06:31:04 2014  memory use: 344.5 MB
Sat Dec 13 06:31:04 2014  reading all ideals from disk
Sat Dec 13 06:31:04 2014  memory use: 318.8 MB
Sat Dec 13 06:31:05 2014  commencing in-memory singleton removal
Sat Dec 13 06:31:06 2014  begin with 10745077 relations and 11329438 unique ideals
Sat Dec 13 06:31:13 2014  reduce to 5114181 relations and 4655238 ideals in 17 passes
Sat Dec 13 06:31:13 2014  max relations containing the same ideal: 83
Sat Dec 13 06:31:15 2014  removing 943892 relations and 781713 ideals in 162179 cliques
Sat Dec 13 06:31:15 2014  commencing in-memory singleton removal
Sat Dec 13 06:31:15 2014  begin with 4170289 relations and 4655238 unique ideals
Sat Dec 13 06:31:18 2014  reduce to 4019496 relations and 3716552 ideals in 10 passes
Sat Dec 13 06:31:18 2014  max relations containing the same ideal: 64
Sat Dec 13 06:31:20 2014  removing 739861 relations and 577682 ideals in 162179 cliques
Sat Dec 13 06:31:20 2014  commencing in-memory singleton removal
Sat Dec 13 06:31:20 2014  begin with 3279635 relations and 3716552 unique ideals
Sat Dec 13 06:31:22 2014  reduce to 3166523 relations and 3021171 ideals in 9 passes
Sat Dec 13 06:31:22 2014  max relations containing the same ideal: 56
Sat Dec 13 06:31:23 2014  removing 83753 relations and 72986 ideals in 10767 cliques
Sat Dec 13 06:31:23 2014  commencing in-memory singleton removal
Sat Dec 13 06:31:23 2014  begin with 3082770 relations and 3021171 unique ideals
Sat Dec 13 06:31:25 2014  reduce to 3081431 relations and 2946840 ideals in 7 passes
Sat Dec 13 06:31:25 2014  max relations containing the same ideal: 55
Sat Dec 13 06:31:25 2014  relations with 0 large ideals: 2887
Sat Dec 13 06:31:25 2014  relations with 1 large ideals: 2223
Sat Dec 13 06:31:25 2014  relations with 2 large ideals: 29875
Sat Dec 13 06:31:25 2014  relations with 3 large ideals: 170806
Sat Dec 13 06:31:25 2014  relations with 4 large ideals: 507672
Sat Dec 13 06:31:25 2014  relations with 5 large ideals: 850493
Sat Dec 13 06:31:25 2014  relations with 6 large ideals: 857522
Sat Dec 13 06:31:25 2014  relations with 7+ large ideals: 659953
Sat Dec 13 06:31:25 2014  commencing 2-way merge
Sat Dec 13 06:31:27 2014  reduce to 1871785 relation sets and 1737194 unique ideals
Sat Dec 13 06:31:27 2014  commencing full merge
Sat Dec 13 06:31:51 2014  memory use: 212.0 MB
Sat Dec 13 06:31:51 2014  found 953453 cycles, need 935394
Sat Dec 13 06:31:52 2014  weight of 935394 cycles is about 65793643 (70.34/cycle)
Sat Dec 13 06:31:52 2014  distribution of cycle lengths:
Sat Dec 13 06:31:52 2014  1 relations: 111047
Sat Dec 13 06:31:52 2014  2 relations: 103116
Sat Dec 13 06:31:52 2014  3 relations: 102876
Sat Dec 13 06:31:52 2014  4 relations: 95110
Sat Dec 13 06:31:52 2014  5 relations: 87331
Sat Dec 13 06:31:52 2014  6 relations: 78744
Sat Dec 13 06:31:52 2014  7 relations: 68717
Sat Dec 13 06:31:52 2014  8 relations: 59785
Sat Dec 13 06:31:52 2014  9 relations: 51002
Sat Dec 13 06:31:52 2014  10+ relations: 177666
Sat Dec 13 06:31:52 2014  heaviest cycle: 20 relations
Sat Dec 13 06:31:52 2014  commencing cycle optimization
Sat Dec 13 06:31:53 2014  start with 5533671 relations
Sat Dec 13 06:32:01 2014  pruned 143912 relations
Sat Dec 13 06:32:01 2014  memory use: 180.4 MB
Sat Dec 13 06:32:01 2014  distribution of cycle lengths:
Sat Dec 13 06:32:01 2014  1 relations: 111047
Sat Dec 13 06:32:01 2014  2 relations: 105426
Sat Dec 13 06:32:01 2014  3 relations: 106468
Sat Dec 13 06:32:01 2014  4 relations: 97732
Sat Dec 13 06:32:01 2014  5 relations: 89852
Sat Dec 13 06:32:01 2014  6 relations: 80089
Sat Dec 13 06:32:01 2014  7 relations: 69757
Sat Dec 13 06:32:01 2014  8 relations: 60303
Sat Dec 13 06:32:01 2014  9 relations: 50772
Sat Dec 13 06:32:01 2014  10+ relations: 163948
Sat Dec 13 06:32:01 2014  heaviest cycle: 20 relations
Sat Dec 13 06:32:02 2014  RelProcTime: 276
Sat Dec 13 06:32:02 2014  
Sat Dec 13 06:32:02 2014  commencing linear algebra
Sat Dec 13 06:32:02 2014  read 935394 cycles
Sat Dec 13 06:32:03 2014  cycles contain 2984889 unique relations
Sat Dec 13 06:32:38 2014  read 2984889 relations
Sat Dec 13 06:32:41 2014  using 20 quadratic characters above 134217402
Sat Dec 13 06:32:54 2014  building initial matrix
Sat Dec 13 06:33:19 2014  memory use: 362.4 MB
Sat Dec 13 06:33:21 2014  read 935394 cycles
Sat Dec 13 06:33:22 2014  matrix is 935217 x 935394 (280.3 MB) with weight 82093262 (87.76/col)
Sat Dec 13 06:33:22 2014  sparse part has weight 63193320 (67.56/col)
Sat Dec 13 06:33:28 2014  filtering completed in 2 passes
Sat Dec 13 06:33:28 2014  matrix is 934458 x 934635 (280.2 MB) with weight 82069352 (87.81/col)
Sat Dec 13 06:33:28 2014  sparse part has weight 63184756 (67.60/col)
Sat Dec 13 06:33:30 2014  matrix starts at (0, 0)
Sat Dec 13 06:33:30 2014  matrix is 934458 x 934635 (280.2 MB) with weight 82069352 (87.81/col)
Sat Dec 13 06:33:30 2014  sparse part has weight 63184756 (67.60/col)
Sat Dec 13 06:33:30 2014  saving the first 48 matrix rows for later
Sat Dec 13 06:33:30 2014  matrix includes 64 packed rows
Sat Dec 13 06:33:31 2014  matrix is 934410 x 934635 (264.6 MB) with weight 65401807 (69.98/col)
Sat Dec 13 06:33:31 2014  sparse part has weight 60013952 (64.21/col)
Sat Dec 13 06:33:31 2014  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Sat Dec 13 06:33:34 2014  commencing Lanczos iteration (8 threads)
Sat Dec 13 06:33:34 2014  memory use: 210.9 MB
Sat Dec 13 06:33:40 2014  linear algebra at 0.3%, ETA 0h25m
Sat Dec 13 07:01:33 2014  lanczos halted after 14781 iterations (dim = 934410)
Sat Dec 13 07:01:34 2014  recovered 41 nontrivial dependencies
Sat Dec 13 07:01:34 2014  BLanczosTime: 1772
Sat Dec 13 07:01:34 2014  
Sat Dec 13 07:01:34 2014  commencing square root phase
Sat Dec 13 07:01:34 2014  reading relations for dependency 1
Sat Dec 13 07:01:34 2014  read 467126 cycles
Sat Dec 13 07:01:35 2014  cycles contain 1492006 unique relations
Sat Dec 13 07:01:56 2014  read 1492006 relations
Sat Dec 13 07:02:01 2014  multiplying 1492006 relations
Sat Dec 13 07:03:11 2014  multiply complete, coefficients have about 42.84 million bits
Sat Dec 13 07:03:12 2014  initial square root is modulo 1415741
Sat Dec 13 07:04:37 2014  sqrtTime: 183
Sat Dec 13 07:04:37 2014  prp45 factor: 383554791232024627923301155289446036047638091
Sat Dec 13 07:04:37 2014  prp95 factor: 65016258209754306101480642848720255249824821835264203153334627290447773272660076098431014233697
Sat Dec 13 07:04:37 2014  elapsed time 00:37:14
software ソフトウェア
GGNFS-SVN440, msieve 1.53 (SVN 965)
execution environment 実行環境
Windows 7 Pro 64-bit, Intel Xeon W3530 @2.8GHz, 8GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62348300Serge BatalovDecember 10, 2014 19:46:25 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 25 秒 (日本時間)
2048Youcef LemsaferDecember 12, 2014 13:52:07 UTC 2014 年 12 月 12 日 (金) 22 時 52 分 7 秒 (日本時間)
4511e6512 / 3956Youcef LemsaferDecember 12, 2014 13:52:07 UTC 2014 年 12 月 12 日 (金) 22 時 52 分 7 秒 (日本時間)

10173+3599

c164

name 名前Youcef Lemsafer
date 日付December 14, 2014 19:28:05 UTC 2014 年 12 月 15 日 (月) 4 時 28 分 5 秒 (日本時間)
composite number 合成数
36059039793269601641655866055728307744282748462144425103493329568221481511129223999507747951250934552501296108830757267056627801573697052473183579931929453876751847<164>
prime factors 素因数
6128461211157552190242928179844396228867697951428886723<55>
5883865223397362511040198485923053388283654156761710833711973454158878991695043143420350467348925742701464589<109>
factorization results 素因数分解の結果
Sun Dec 14 10:34:50 2014 -> factmsieve.py (v0.76)
Sun Dec 14 10:34:50 2014 -> This is client 1 of 1
Sun Dec 14 10:34:50 2014 -> Running on 4 Cores with 2 hyper-threads per Core
Sun Dec 14 10:34:50 2014 -> Working with NAME = 11151_173
Sun Dec 14 10:34:50 2014 -> Selected lattice siever: gnfs-lasieve4I13e
Sun Dec 14 10:34:50 2014 -> Creating param file to detect parameter changes...
Sun Dec 14 10:34:50 2014 -> Running setup ...
Sun Dec 14 10:34:50 2014 -> Estimated minimum relations needed: 1.21819e+07
Sun Dec 14 10:34:50 2014 -> cleaning up before a restart
Sun Dec 14 10:34:50 2014 -> Running lattice siever ...
Sun Dec 14 10:34:50 2014 -> entering sieving loop
<...snipped...>
Sun Dec 14 10:34:50 2014 -> Lattice sieving rational q from 2700000 to 2800000.
<...snipped...>
Sun Dec 14 19:18:08 2014 -> Lattice sieving rational q from 6900000 to 7000000.
<...snipped...>
Sun Dec 14 19:31:17 2014 Found 12242890 relations, 100.5% of the estimated minimum (12181879).
Sun Dec 14 19:31:17 2014  
Sun Dec 14 19:31:17 2014  
Sun Dec 14 19:31:17 2014  Msieve v. 1.53 (SVN 965M)
Sun Dec 14 19:31:17 2014  random seeds: 67c56d38 9b467763
Sun Dec 14 19:31:17 2014  factoring 36059039793269601641655866055728307744282748462144425103493329568221481511129223999507747951250934552501296108830757267056627801573697052473183579931929453876751847 (164 digits)
Sun Dec 14 19:31:18 2014  searching for 15-digit factors
Sun Dec 14 19:31:20 2014  commencing number field sieve (164-digit input)
Sun Dec 14 19:31:20 2014  R0: -10000000000000000000000000000000000
Sun Dec 14 19:31:20 2014  R1: 1
Sun Dec 14 19:31:20 2014  A0: 359
Sun Dec 14 19:31:20 2014  A1: 0
Sun Dec 14 19:31:20 2014  A2: 0
Sun Dec 14 19:31:20 2014  A3: 0
Sun Dec 14 19:31:20 2014  A4: 0
Sun Dec 14 19:31:20 2014  A5: 1000
Sun Dec 14 19:31:20 2014  skew 0.81, size 2.508e-012, alpha -0.284, combined = 1.473e-010 rroots = 1
Sun Dec 14 19:31:20 2014  
Sun Dec 14 19:31:20 2014  commencing relation filtering
Sun Dec 14 19:31:20 2014  estimated available RAM is 8189.6 MB
Sun Dec 14 19:31:20 2014  commencing duplicate removal, pass 1
Sun Dec 14 19:32:55 2014  found 1686363 hash collisions in 12242889 relations
Sun Dec 14 19:33:09 2014  added 375103 free relations
Sun Dec 14 19:33:09 2014  commencing duplicate removal, pass 2
Sun Dec 14 19:33:14 2014  found 1434829 duplicates and 11183163 unique relations
Sun Dec 14 19:33:14 2014  memory use: 49.3 MB
Sun Dec 14 19:33:14 2014  reading ideals above 720000
Sun Dec 14 19:33:14 2014  commencing singleton removal, initial pass
Sun Dec 14 19:34:58 2014  memory use: 344.5 MB
Sun Dec 14 19:34:58 2014  reading all ideals from disk
Sun Dec 14 19:34:58 2014  memory use: 332.0 MB
Sun Dec 14 19:34:59 2014  commencing in-memory singleton removal
Sun Dec 14 19:34:59 2014  begin with 11183163 relations and 11487026 unique ideals
Sun Dec 14 19:35:05 2014  reduce to 5686772 relations and 5014191 ideals in 14 passes
Sun Dec 14 19:35:05 2014  max relations containing the same ideal: 85
Sun Dec 14 19:35:08 2014  removing 1257289 relations and 988212 ideals in 269077 cliques
Sun Dec 14 19:35:08 2014  commencing in-memory singleton removal
Sun Dec 14 19:35:08 2014  begin with 4429483 relations and 5014191 unique ideals
Sun Dec 14 19:35:11 2014  reduce to 4193998 relations and 3776501 ideals in 10 passes
Sun Dec 14 19:35:11 2014  max relations containing the same ideal: 66
Sun Dec 14 19:35:12 2014  removing 1012159 relations and 743082 ideals in 269077 cliques
Sun Dec 14 19:35:13 2014  commencing in-memory singleton removal
Sun Dec 14 19:35:13 2014  begin with 3181839 relations and 3776501 unique ideals
Sun Dec 14 19:35:15 2014  reduce to 2988361 relations and 2827437 ideals in 10 passes
Sun Dec 14 19:35:15 2014  max relations containing the same ideal: 54
Sun Dec 14 19:35:16 2014  removing 164384 relations and 137888 ideals in 26496 cliques
Sun Dec 14 19:35:16 2014  commencing in-memory singleton removal
Sun Dec 14 19:35:16 2014  begin with 2823977 relations and 2827437 unique ideals
Sun Dec 14 19:35:17 2014  reduce to 2818039 relations and 2683564 ideals in 9 passes
Sun Dec 14 19:35:17 2014  max relations containing the same ideal: 51
Sun Dec 14 19:35:18 2014  relations with 0 large ideals: 2858
Sun Dec 14 19:35:18 2014  relations with 1 large ideals: 2347
Sun Dec 14 19:35:18 2014  relations with 2 large ideals: 31436
Sun Dec 14 19:35:18 2014  relations with 3 large ideals: 172166
Sun Dec 14 19:35:18 2014  relations with 4 large ideals: 490812
Sun Dec 14 19:35:18 2014  relations with 5 large ideals: 786985
Sun Dec 14 19:35:18 2014  relations with 6 large ideals: 764905
Sun Dec 14 19:35:18 2014  relations with 7+ large ideals: 566530
Sun Dec 14 19:35:18 2014  commencing 2-way merge
Sun Dec 14 19:35:19 2014  reduce to 1734746 relation sets and 1600271 unique ideals
Sun Dec 14 19:35:19 2014  commencing full merge
Sun Dec 14 19:35:41 2014  memory use: 198.5 MB
Sun Dec 14 19:35:41 2014  found 894607 cycles, need 876471
Sun Dec 14 19:35:41 2014  weight of 876471 cycles is about 61516983 (70.19/cycle)
Sun Dec 14 19:35:41 2014  distribution of cycle lengths:
Sun Dec 14 19:35:41 2014  1 relations: 96816
Sun Dec 14 19:35:41 2014  2 relations: 95885
Sun Dec 14 19:35:41 2014  3 relations: 95023
Sun Dec 14 19:35:41 2014  4 relations: 90738
Sun Dec 14 19:35:41 2014  5 relations: 84119
Sun Dec 14 19:35:41 2014  6 relations: 76643
Sun Dec 14 19:35:41 2014  7 relations: 67834
Sun Dec 14 19:35:41 2014  8 relations: 58847
Sun Dec 14 19:35:41 2014  9 relations: 49672
Sun Dec 14 19:35:41 2014  10+ relations: 160894
Sun Dec 14 19:35:41 2014  heaviest cycle: 20 relations
Sun Dec 14 19:35:41 2014  commencing cycle optimization
Sun Dec 14 19:35:42 2014  start with 5163149 relations
Sun Dec 14 19:35:50 2014  pruned 141976 relations
Sun Dec 14 19:35:50 2014  memory use: 166.6 MB
Sun Dec 14 19:35:50 2014  distribution of cycle lengths:
Sun Dec 14 19:35:50 2014  1 relations: 96816
Sun Dec 14 19:35:50 2014  2 relations: 98028
Sun Dec 14 19:35:50 2014  3 relations: 98533
Sun Dec 14 19:35:50 2014  4 relations: 93200
Sun Dec 14 19:35:50 2014  5 relations: 86879
Sun Dec 14 19:35:50 2014  6 relations: 78457
Sun Dec 14 19:35:50 2014  7 relations: 69181
Sun Dec 14 19:35:50 2014  8 relations: 59293
Sun Dec 14 19:35:50 2014  9 relations: 49811
Sun Dec 14 19:35:50 2014  10+ relations: 146273
Sun Dec 14 19:35:50 2014  heaviest cycle: 20 relations
Sun Dec 14 19:35:50 2014  RelProcTime: 270
Sun Dec 14 19:35:50 2014  elapsed time 00:04:33
Sun Dec 14 19:35:50 2014 LatSieveTime: 1062.36
Sun Dec 14 19:35:50 2014 -> Running matrix solving step ...
<...snipped...>
Sun Dec 14 19:35:54 2014  commencing linear algebra
Sun Dec 14 19:35:54 2014  read 876471 cycles
Sun Dec 14 19:35:55 2014  cycles contain 2729972 unique relations
Sun Dec 14 19:36:39 2014  read 2729972 relations
Sun Dec 14 19:36:43 2014  using 20 quadratic characters above 134217354
Sun Dec 14 19:36:55 2014  building initial matrix
Sun Dec 14 19:37:22 2014  memory use: 344.9 MB
Sun Dec 14 19:37:23 2014  read 876471 cycles
Sun Dec 14 19:37:23 2014  matrix is 876294 x 876471 (261.8 MB) with weight 78600350 (89.68/col)
Sun Dec 14 19:37:23 2014  sparse part has weight 58997740 (67.31/col)
Sun Dec 14 19:37:30 2014  filtering completed in 2 passes
Sun Dec 14 19:37:30 2014  matrix is 875837 x 876014 (261.8 MB) with weight 78583968 (89.71/col)
Sun Dec 14 19:37:30 2014  sparse part has weight 58991366 (67.34/col)
Sun Dec 14 19:37:31 2014  matrix starts at (0, 0)
Sun Dec 14 19:37:32 2014  matrix is 875837 x 876014 (261.8 MB) with weight 78583968 (89.71/col)
Sun Dec 14 19:37:32 2014  sparse part has weight 58991366 (67.34/col)
Sun Dec 14 19:37:32 2014  saving the first 48 matrix rows for later
Sun Dec 14 19:37:32 2014  matrix includes 64 packed rows
Sun Dec 14 19:37:32 2014  matrix is 875789 x 876014 (249.2 MB) with weight 62175707 (70.98/col)
Sun Dec 14 19:37:32 2014  sparse part has weight 56568386 (64.57/col)
Sun Dec 14 19:37:32 2014  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Sun Dec 14 19:37:36 2014  commencing Lanczos iteration (8 threads)
Sun Dec 14 19:37:36 2014  memory use: 197.2 MB
Sun Dec 14 19:37:42 2014  linear algebra at 0.3%, ETA 0h28m
Sun Dec 14 20:04:06 2014  lanczos halted after 13853 iterations (dim = 875786)
Sun Dec 14 20:04:07 2014  recovered 35 nontrivial dependencies
Sun Dec 14 20:04:08 2014  BLanczosTime: 1694
Sun Dec 14 20:04:08 2014  elapsed time 00:28:18
Sun Dec 14 20:04:08 2014 -> Running square root step ...
<...snipped...>
Sun Dec 14 20:04:11 2014  commencing square root phase
Sun Dec 14 20:04:11 2014  reading relations for dependency 1
Sun Dec 14 20:04:11 2014  read 438164 cycles
Sun Dec 14 20:04:12 2014  cycles contain 1367442 unique relations
Sun Dec 14 20:04:50 2014  read 1367442 relations
Sun Dec 14 20:04:55 2014  multiplying 1367442 relations
Sun Dec 14 20:06:08 2014  multiply complete, coefficients have about 43.42 million bits
Sun Dec 14 20:06:08 2014  initial square root is modulo 1715561
Sun Dec 14 20:07:39 2014  GCD is N, no factor found
Sun Dec 14 20:07:39 2014  reading relations for dependency 2
Sun Dec 14 20:07:39 2014  read 438764 cycles
Sun Dec 14 20:07:39 2014  cycles contain 1368256 unique relations
Sun Dec 14 20:07:52 2014  read 1368256 relations
Sun Dec 14 20:07:57 2014  multiplying 1368256 relations
Sun Dec 14 20:09:10 2014  multiply complete, coefficients have about 43.45 million bits
Sun Dec 14 20:09:10 2014  initial square root is modulo 1731181
Sun Dec 14 20:10:41 2014  GCD is N, no factor found
Sun Dec 14 20:10:41 2014  reading relations for dependency 3
Sun Dec 14 20:10:41 2014  read 437655 cycles
Sun Dec 14 20:10:42 2014  cycles contain 1364378 unique relations
Sun Dec 14 20:10:54 2014  read 1364378 relations
Sun Dec 14 20:11:00 2014  multiplying 1364378 relations
Sun Dec 14 20:12:11 2014  multiply complete, coefficients have about 43.33 million bits
Sun Dec 14 20:12:11 2014  initial square root is modulo 1662121
Sun Dec 14 20:13:37 2014  sqrtTime: 566
Sun Dec 14 20:13:37 2014  prp55 factor: 6128461211157552190242928179844396228867697951428886723
Sun Dec 14 20:13:37 2014  prp109 factor: 5883865223397362511040198485923053388283654156761710833711973454158878991695043143420350467348925742701464589
Sun Dec 14 20:13:37 2014  elapsed time 00:09:29
Sun Dec 14 20:13:37 2014 -> Computing 1.41858e+09 scale for this machine...
Sun Dec 14 20:13:37 2014 -> procrels -speedtest> PIPE
Sun Dec 14 20:13:41 2014 -> Factorization summary written to s174-11151_173.txt



Number: 11151_173
N = 36059039793269601641655866055728307744282748462144425103493329568221481511129223999507747951250934552501296108830757267056627801573697052473183579931929453876751847 (164 digits)
SNFS difficulty: 174 digits.
Divisors found:
r1=6128461211157552190242928179844396228867697951428886723 (pp55)
r2=5883865223397362511040198485923053388283654156761710833711973454158878991695043143420350467348925742701464589 (pp109)
Version: Msieve v. 1.53 (SVN 965M)
Total time: 9.71 hours.
Factorization parameters were as follows:
#
# 11151_173, C164, SNFS_diff=173
#
n: 36059039793269601641655866055728307744282748462144425103493329568221481511129223999507747951250934552501296108830757267056627801573697052473183579931929453876751847
m: 10000000000000000000000000000000000
deg: 5
c5: 1000
c0: 359
skew: 0.81
# Murphy_E = 1.473e-10
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4

Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [0, 0)
Total raw relations: 12242890
Relations: 1364378 relations
Pruned matrix : 875789 x 876014
Polynomial selection time: 0.00 hours.
Total sieving time: 9.01 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.47 hours.
time per square root: 0.16 hours.
Prototype def-par.txt line would be: snfs,174,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,100000
total time: 9.71 hours.
Intel64 Family 6 Model 26 Stepping 5, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.80GHz
software ソフトウェア
GGNFS-SVN440, msieve 1.53 (SVN 965)
execution environment 実行環境
Windows 7 Pro 64-bit, Intel Xeon W3530 @2.8GHz, 8 GB RAM.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 10, 2014 08:44:05 UTC 2014 年 12 月 10 日 (水) 17 時 44 分 5 秒 (日本時間)
4511e6768 / 4413Youcef LemsaferDecember 14, 2014 09:29:36 UTC 2014 年 12 月 14 日 (日) 18 時 29 分 36 秒 (日本時間)

10174+3599

c174

name 名前Serge Batalov
date 日付December 10, 2014 08:38:25 UTC 2014 年 12 月 10 日 (水) 17 時 38 分 25 秒 (日本時間)
composite number 合成数
111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111151<174>
prime factors 素因数
2716843263353129725189845819744877526879110100355481025597920651423987<70>
40897136986098235717824978485976807500242104458966742170879120600059122579591567666654971889693476772373<104>
factorization results 素因数分解の結果
Divisors found:
 r1=2716843263353129725189845819744877526879110100355481025597920651423987 (pp70)
 r2=40897136986098235717824978485976807500242104458966742170879120600059122579591567666654971889693476772373 (pp104)
Version: Msieve v. 1.51 (SVN 719M)
Total time: 46.91 hours.
Scaled time: 112.58 units (timescale=2.400).
Factorization parameters were as follows:
n: 111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111151
m: 50000000000000000000000000000000000
deg: 5
c5: 16
c0: 1795
skew: 2.57
# Murphy_E = 1.38e-10
type: snfs
lss: 1
rlim: 5700000
alim: 5700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5700000/5700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2850000, 7150001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1149051 x 1149289
Total sieving time: 45.94 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.74 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,174.000,5,0,0,0,0,0,0,0,0,5700000,5700000,27,27,52,52,2.4,2.4,100000
total time: 46.91 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 8, 2014 19:27:30 UTC 2014 年 12 月 9 日 (火) 4 時 27 分 30 秒 (日本時間)

10175+3599

c126

name 名前Youcef Lemsafer
date 日付December 16, 2014 05:39:07 UTC 2014 年 12 月 16 日 (火) 14 時 39 分 7 秒 (日本時間)
composite number 合成数
938931735896967215800725958594654524130892675406151069597613519171905499736673622419214115042290956991918677262249200537218907<126>
prime factors 素因数
4496422917187146658298782019526702992641091<43>
208817487409378338251564607914441583101789058934499875475674909952704235727639603977<84>
factorization results 素因数分解の結果
<Parameters were as follows:>
#
# 11151_175, C126, SNFS_diff=175
#
n: 938931735896967215800725958594654524130892675406151069597613519171905499736673622419214115042290956991918677262249200537218907
m: 100000000000000000000000000000000000
deg: 5
c5: 1
c0: 359
skew: 3.24
# Murphy_E = 1.517e-10
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5


<Sieving from 2800000 to 6400000 with gnfs-lasieve4I13e using 6 threads took 7.9 hours.>
<Post-processing using 8 threads:>

Mon Dec 15 23:59:21 2014  
Mon Dec 15 23:59:21 2014  
Mon Dec 15 23:59:21 2014  Msieve v. 1.53 (SVN 965M)
Mon Dec 15 23:59:21 2014  random seeds: 640984c0 b8224322
Mon Dec 15 23:59:21 2014  factoring 938931735896967215800725958594654524130892675406151069597613519171905499736673622419214115042290956991918677262249200537218907 (126 digits)
Mon Dec 15 23:59:21 2014  searching for 15-digit factors
Mon Dec 15 23:59:23 2014  commencing number field sieve (126-digit input)
Mon Dec 15 23:59:23 2014  R0: -100000000000000000000000000000000000
Mon Dec 15 23:59:23 2014  R1: 1
Mon Dec 15 23:59:23 2014  A0: 359
Mon Dec 15 23:59:23 2014  A1: 0
Mon Dec 15 23:59:23 2014  A2: 0
Mon Dec 15 23:59:23 2014  A3: 0
Mon Dec 15 23:59:23 2014  A4: 0
Mon Dec 15 23:59:23 2014  A5: 1
Mon Dec 15 23:59:23 2014  skew 3.24, size 2.742e-012, alpha 1.290, combined = 1.517e-010 rroots = 1
Mon Dec 15 23:59:23 2014  
Mon Dec 15 23:59:23 2014  commencing relation filtering
Mon Dec 15 23:59:23 2014  estimated available RAM is 8189.6 MB
Mon Dec 15 23:59:23 2014  commencing duplicate removal, pass 1
Tue Dec 16 00:02:15 2014  found 2051297 hash collisions in 15953533 relations
Tue Dec 16 00:02:32 2014  added 20423 free relations
Tue Dec 16 00:02:32 2014  commencing duplicate removal, pass 2
Tue Dec 16 00:02:54 2014  found 1513032 duplicates and 14460924 unique relations
Tue Dec 16 00:02:54 2014  memory use: 82.6 MB
Tue Dec 16 00:02:54 2014  reading ideals above 720000
Tue Dec 16 00:02:54 2014  commencing singleton removal, initial pass
Tue Dec 16 00:05:13 2014  memory use: 376.5 MB
Tue Dec 16 00:05:13 2014  reading all ideals from disk
Tue Dec 16 00:05:13 2014  memory use: 432.4 MB
Tue Dec 16 00:05:14 2014  commencing in-memory singleton removal
Tue Dec 16 00:05:15 2014  begin with 14460924 relations and 17002883 unique ideals
Tue Dec 16 00:05:22 2014  reduce to 4614692 relations and 4460750 ideals in 17 passes
Tue Dec 16 00:05:22 2014  max relations containing the same ideal: 74
Tue Dec 16 00:05:24 2014  removing 164400 relations and 154599 ideals in 9801 cliques
Tue Dec 16 00:05:24 2014  commencing in-memory singleton removal
Tue Dec 16 00:05:24 2014  begin with 4450292 relations and 4460750 unique ideals
Tue Dec 16 00:05:26 2014  reduce to 4444837 relations and 4300677 ideals in 8 passes
Tue Dec 16 00:05:26 2014  max relations containing the same ideal: 72
Tue Dec 16 00:05:28 2014  removing 118630 relations and 108829 ideals in 9801 cliques
Tue Dec 16 00:05:28 2014  commencing in-memory singleton removal
Tue Dec 16 00:05:28 2014  begin with 4326207 relations and 4300677 unique ideals
Tue Dec 16 00:05:31 2014  reduce to 4323255 relations and 4188893 ideals in 8 passes
Tue Dec 16 00:05:31 2014  max relations containing the same ideal: 70
Tue Dec 16 00:05:31 2014  relations with 0 large ideals: 2845
Tue Dec 16 00:05:31 2014  relations with 1 large ideals: 1759
Tue Dec 16 00:05:31 2014  relations with 2 large ideals: 27308
Tue Dec 16 00:05:31 2014  relations with 3 large ideals: 174144
Tue Dec 16 00:05:31 2014  relations with 4 large ideals: 589968
Tue Dec 16 00:05:31 2014  relations with 5 large ideals: 1127842
Tue Dec 16 00:05:31 2014  relations with 6 large ideals: 1285690
Tue Dec 16 00:05:31 2014  relations with 7+ large ideals: 1113699
Tue Dec 16 00:05:31 2014  commencing 2-way merge
Tue Dec 16 00:05:34 2014  reduce to 2435281 relation sets and 2300922 unique ideals
Tue Dec 16 00:05:34 2014  ignored 3 oversize relation sets
Tue Dec 16 00:05:34 2014  commencing full merge
Tue Dec 16 00:06:07 2014  memory use: 264.9 MB
Tue Dec 16 00:06:07 2014  found 1216195 cycles, need 1203122
Tue Dec 16 00:06:07 2014  weight of 1203122 cycles is about 84491194 (70.23/cycle)
Tue Dec 16 00:06:07 2014  distribution of cycle lengths:
Tue Dec 16 00:06:07 2014  1 relations: 159295
Tue Dec 16 00:06:07 2014  2 relations: 149376
Tue Dec 16 00:06:07 2014  3 relations: 144920
Tue Dec 16 00:06:07 2014  4 relations: 125693
Tue Dec 16 00:06:07 2014  5 relations: 109703
Tue Dec 16 00:06:07 2014  6 relations: 91158
Tue Dec 16 00:06:07 2014  7 relations: 77457
Tue Dec 16 00:06:07 2014  8 relations: 63755
Tue Dec 16 00:06:07 2014  9 relations: 52253
Tue Dec 16 00:06:07 2014  10+ relations: 229512
Tue Dec 16 00:06:07 2014  heaviest cycle: 26 relations
Tue Dec 16 00:06:07 2014  commencing cycle optimization
Tue Dec 16 00:06:09 2014  start with 7166332 relations
Tue Dec 16 00:06:19 2014  pruned 143674 relations
Tue Dec 16 00:06:19 2014  memory use: 244.0 MB
Tue Dec 16 00:06:19 2014  distribution of cycle lengths:
Tue Dec 16 00:06:19 2014  1 relations: 159295
Tue Dec 16 00:06:19 2014  2 relations: 152348
Tue Dec 16 00:06:19 2014  3 relations: 149191
Tue Dec 16 00:06:19 2014  4 relations: 127934
Tue Dec 16 00:06:19 2014  5 relations: 111510
Tue Dec 16 00:06:19 2014  6 relations: 91784
Tue Dec 16 00:06:19 2014  7 relations: 77377
Tue Dec 16 00:06:19 2014  8 relations: 63349
Tue Dec 16 00:06:19 2014  9 relations: 51382
Tue Dec 16 00:06:19 2014  10+ relations: 218952
Tue Dec 16 00:06:19 2014  heaviest cycle: 26 relations
Tue Dec 16 00:06:20 2014  RelProcTime: 417
Tue Dec 16 00:06:20 2014  
Tue Dec 16 00:06:20 2014  commencing linear algebra
Tue Dec 16 00:06:20 2014  read 1203122 cycles
Tue Dec 16 00:06:22 2014  cycles contain 4148979 unique relations
Tue Dec 16 00:07:08 2014  read 4148979 relations
Tue Dec 16 00:07:13 2014  using 20 quadratic characters above 268434842
Tue Dec 16 00:07:31 2014  building initial matrix
Tue Dec 16 00:08:04 2014  memory use: 493.0 MB
Tue Dec 16 00:08:10 2014  read 1203122 cycles
Tue Dec 16 00:08:10 2014  matrix is 1202937 x 1203122 (361.9 MB) with weight 106495808 (88.52/col)
Tue Dec 16 00:08:10 2014  sparse part has weight 81638378 (67.86/col)
Tue Dec 16 00:08:21 2014  filtering completed in 2 passes
Tue Dec 16 00:08:21 2014  matrix is 1199401 x 1199584 (361.6 MB) with weight 106362749 (88.67/col)
Tue Dec 16 00:08:21 2014  sparse part has weight 81583414 (68.01/col)
Tue Dec 16 00:08:23 2014  matrix starts at (0, 0)
Tue Dec 16 00:08:23 2014  matrix is 1199401 x 1199584 (361.6 MB) with weight 106362749 (88.67/col)
Tue Dec 16 00:08:23 2014  sparse part has weight 81583414 (68.01/col)
Tue Dec 16 00:08:23 2014  saving the first 48 matrix rows for later
Tue Dec 16 00:08:24 2014  matrix includes 64 packed rows
Tue Dec 16 00:08:24 2014  matrix is 1199353 x 1199584 (341.2 MB) with weight 84352570 (70.32/col)
Tue Dec 16 00:08:24 2014  sparse part has weight 77455862 (64.57/col)
Tue Dec 16 00:08:24 2014  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Tue Dec 16 00:08:29 2014  commencing Lanczos iteration (8 threads)
Tue Dec 16 00:08:29 2014  memory use: 272.7 MB
Tue Dec 16 00:08:33 2014  linear algebra at 0.1%, ETA 0h52m
Tue Dec 16 00:08:34 2014  checkpointing every 1460000 dimensions
Tue Dec 16 00:56:32 2014  lanczos halted after 18968 iterations (dim = 1199353)
Tue Dec 16 00:56:33 2014  recovered 38 nontrivial dependencies
Tue Dec 16 00:56:33 2014  BLanczosTime: 3013
Tue Dec 16 00:56:33 2014  
Tue Dec 16 00:56:33 2014  commencing square root phase
Tue Dec 16 00:56:33 2014  reading relations for dependency 1
Tue Dec 16 00:56:33 2014  read 599721 cycles
Tue Dec 16 00:56:34 2014  cycles contain 2074320 unique relations
Tue Dec 16 00:57:03 2014  read 2074320 relations
Tue Dec 16 00:57:11 2014  multiplying 2074320 relations
Tue Dec 16 00:58:24 2014  multiply complete, coefficients have about 47.28 million bits
Tue Dec 16 00:58:25 2014  initial square root is modulo 6137591
Tue Dec 16 01:00:01 2014  GCD is 1, no factor found
Tue Dec 16 01:00:01 2014  reading relations for dependency 2
Tue Dec 16 01:00:01 2014  read 599655 cycles
Tue Dec 16 01:00:02 2014  cycles contain 2074596 unique relations
Tue Dec 16 01:00:32 2014  read 2074596 relations
Tue Dec 16 01:00:40 2014  multiplying 2074596 relations
Tue Dec 16 01:01:54 2014  multiply complete, coefficients have about 47.29 million bits
Tue Dec 16 01:01:54 2014  initial square root is modulo 6152851
Tue Dec 16 01:03:31 2014  sqrtTime: 418
Tue Dec 16 01:03:31 2014  prp43 factor: 4496422917187146658298782019526702992641091
Tue Dec 16 01:03:31 2014  prp84 factor: 208817487409378338251564607914441583101789058934499875475674909952704235727639603977
Tue Dec 16 01:03:31 2014  elapsed time 01:04:10
software ソフトウェア
GGNFS-SVN440, msieve 1.53 (SVN 965)
execution environment 実行環境
Windows 7 Pro 64-bit, Intel Xeon W3530 @2.8GHz, 8 GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 10, 2014 01:59:22 UTC 2014 年 12 月 10 日 (水) 10 時 59 分 22 秒 (日本時間)
4511e6640 / 4413Youcef LemsaferDecember 15, 2014 09:50:25 UTC 2014 年 12 月 15 日 (月) 18 時 50 分 25 秒 (日本時間)

10177+3599

c153

name 名前Youcef Lemsafer
date 日付December 30, 2014 08:20:44 UTC 2014 年 12 月 30 日 (火) 17 時 20 分 44 秒 (日本時間)
composite number 合成数
326681959018830186980936161003060484381368335474999397658177683052550311692595308965752482572865147580201696997375383044896710712305951898833756897180789<153>
prime factors 素因数
1210070667553454300629508923750044633555218872469<49>
269969323096908442021522672800798640127953308271870974861091544929851900557885104007066378228944217693281<105>
factorization results 素因数分解の結果
Mon Dec 29 17:31:46 2014 -> factmsieve.py (v0.76)
Mon Dec 29 17:31:46 2014 -> This is client 1 of 1
Mon Dec 29 17:31:46 2014 -> Running on 4 Cores with 2 hyper-threads per Core
Mon Dec 29 17:31:46 2014 -> Working with NAME = 11151_177
Mon Dec 29 17:31:46 2014 -> Selected lattice siever: gnfs-lasieve4I13e
Mon Dec 29 17:31:46 2014 -> Creating param file to detect parameter changes...
Mon Dec 29 17:31:46 2014 -> Running setup ...
Mon Dec 29 17:31:46 2014 -> Estimated minimum relations needed: 1.3895e+07
Mon Dec 29 17:31:46 2014 -> cleaning up before a restart
Mon Dec 29 17:31:46 2014 -> Running lattice siever ...
Mon Dec 29 17:31:46 2014 -> entering sieving loop
<...snipped...>
Mon Dec 29 17:31:46 2014 -> Lattice sieving rational q from 3100000 to 3200000.
<...snipped...>
Mon Dec 29 17:43:18 2014 Found 360614 relations, 2.6% of the estimated minimum (13894954).
<...snipped...>
Tue Dec 30 05:23:14 2014 -> Lattice sieving rational q from 8500000 to 8600000.
<...snipped...>
Tue Dec 30 05:34:54 2014 Found 18785422 relations, 135.2% of the estimated minimum (13894954).
Tue Dec 30 05:34:54 2014  
Tue Dec 30 05:34:54 2014  
Tue Dec 30 05:34:54 2014  Msieve v. 1.53 (SVN 965M)
Tue Dec 30 05:34:54 2014  random seeds: ba221a70 24ef73fb
Tue Dec 30 05:34:54 2014  factoring 326681959018830186980936161003060484381368335474999397658177683052550311692595308965752482572865147580201696997375383044896710712305951898833756897180789 (153 digits)
Tue Dec 30 05:34:55 2014  searching for 15-digit factors
Tue Dec 30 05:34:57 2014  commencing number field sieve (153-digit input)
Tue Dec 30 05:34:57 2014  R0: -100000000000000000000000000000000000
Tue Dec 30 05:34:57 2014  R1: 1
Tue Dec 30 05:34:57 2014  A0: 359
Tue Dec 30 05:34:57 2014  A1: 0
Tue Dec 30 05:34:57 2014  A2: 0
Tue Dec 30 05:34:57 2014  A3: 0
Tue Dec 30 05:34:57 2014  A4: 0
Tue Dec 30 05:34:57 2014  A5: 100
Tue Dec 30 05:34:57 2014  skew 1.29, size 1.154e-012, alpha 1.124, combined = 9.283e-011 rroots = 1
Tue Dec 30 05:34:57 2014  
Tue Dec 30 05:34:57 2014  commencing relation filtering
Tue Dec 30 05:34:57 2014  estimated available RAM is 8189.6 MB
Tue Dec 30 05:34:57 2014  commencing duplicate removal, pass 1
Tue Dec 30 05:37:23 2014  found 2759760 hash collisions in 18785421 relations
Tue Dec 30 05:37:43 2014  added 1262 free relations
Tue Dec 30 05:37:43 2014  commencing duplicate removal, pass 2
Tue Dec 30 05:37:52 2014  found 2101024 duplicates and 16685659 unique relations
Tue Dec 30 05:37:52 2014  memory use: 82.6 MB
Tue Dec 30 05:37:52 2014  reading ideals above 720000
Tue Dec 30 05:37:52 2014  commencing singleton removal, initial pass
Tue Dec 30 05:40:25 2014  memory use: 376.5 MB
Tue Dec 30 05:40:25 2014  reading all ideals from disk
Tue Dec 30 05:40:26 2014  memory use: 510.0 MB
Tue Dec 30 05:40:27 2014  commencing in-memory singleton removal
Tue Dec 30 05:40:28 2014  begin with 16685659 relations and 19100598 unique ideals
Tue Dec 30 05:40:38 2014  reduce to 5833479 relations and 5635946 ideals in 19 passes
Tue Dec 30 05:40:38 2014  max relations containing the same ideal: 93
Tue Dec 30 05:40:40 2014  removing 412500 relations and 381026 ideals in 31474 cliques
Tue Dec 30 05:40:40 2014  commencing in-memory singleton removal
Tue Dec 30 05:40:40 2014  begin with 5420979 relations and 5635946 unique ideals
Tue Dec 30 05:40:45 2014  reduce to 5394872 relations and 5228549 ideals in 14 passes
Tue Dec 30 05:40:45 2014  max relations containing the same ideal: 87
Tue Dec 30 05:40:47 2014  removing 299789 relations and 268315 ideals in 31474 cliques
Tue Dec 30 05:40:48 2014  commencing in-memory singleton removal
Tue Dec 30 05:40:48 2014  begin with 5095083 relations and 5228549 unique ideals
Tue Dec 30 05:40:51 2014  reduce to 5079977 relations and 4945022 ideals in 8 passes
Tue Dec 30 05:40:51 2014  max relations containing the same ideal: 81
Tue Dec 30 05:40:53 2014  relations with 0 large ideals: 2887
Tue Dec 30 05:40:53 2014  relations with 1 large ideals: 1428
Tue Dec 30 05:40:53 2014  relations with 2 large ideals: 23154
Tue Dec 30 05:40:53 2014  relations with 3 large ideals: 160596
Tue Dec 30 05:40:53 2014  relations with 4 large ideals: 589232
Tue Dec 30 05:40:53 2014  relations with 5 large ideals: 1227952
Tue Dec 30 05:40:53 2014  relations with 6 large ideals: 1533590
Tue Dec 30 05:40:53 2014  relations with 7+ large ideals: 1541138
Tue Dec 30 05:40:53 2014  commencing 2-way merge
Tue Dec 30 05:40:56 2014  reduce to 2884627 relation sets and 2749672 unique ideals
Tue Dec 30 05:40:56 2014  ignored 1 oversize relation sets
Tue Dec 30 05:40:56 2014  commencing full merge
Tue Dec 30 05:41:35 2014  memory use: 325.3 MB
Tue Dec 30 05:41:36 2014  found 1455155 cycles, need 1439872
Tue Dec 30 05:41:36 2014  weight of 1439872 cycles is about 100899512 (70.08/cycle)
Tue Dec 30 05:41:36 2014  distribution of cycle lengths:
Tue Dec 30 05:41:36 2014  1 relations: 197844
Tue Dec 30 05:41:36 2014  2 relations: 177831
Tue Dec 30 05:41:36 2014  3 relations: 169585
Tue Dec 30 05:41:36 2014  4 relations: 148466
Tue Dec 30 05:41:36 2014  5 relations: 129472
Tue Dec 30 05:41:36 2014  6 relations: 107906
Tue Dec 30 05:41:36 2014  7 relations: 92754
Tue Dec 30 05:41:36 2014  8 relations: 76921
Tue Dec 30 05:41:36 2014  9 relations: 63383
Tue Dec 30 05:41:36 2014  10+ relations: 275710
Tue Dec 30 05:41:36 2014  heaviest cycle: 26 relations
Tue Dec 30 05:41:36 2014  commencing cycle optimization
Tue Dec 30 05:41:38 2014  start with 8491886 relations
Tue Dec 30 05:41:50 2014  pruned 168662 relations
Tue Dec 30 05:41:50 2014  memory use: 289.1 MB
Tue Dec 30 05:41:50 2014  distribution of cycle lengths:
Tue Dec 30 05:41:50 2014  1 relations: 197844
Tue Dec 30 05:41:50 2014  2 relations: 181274
Tue Dec 30 05:41:50 2014  3 relations: 174567
Tue Dec 30 05:41:50 2014  4 relations: 151221
Tue Dec 30 05:41:50 2014  5 relations: 131657
Tue Dec 30 05:41:50 2014  6 relations: 108653
Tue Dec 30 05:41:50 2014  7 relations: 92758
Tue Dec 30 05:41:50 2014  8 relations: 76275
Tue Dec 30 05:41:50 2014  9 relations: 62568
Tue Dec 30 05:41:50 2014  10+ relations: 263055
Tue Dec 30 05:41:50 2014  heaviest cycle: 26 relations
Tue Dec 30 05:41:51 2014  RelProcTime: 414
Tue Dec 30 05:41:51 2014  elapsed time 00:06:57
Tue Dec 30 05:41:51 2014 LatSieveTime: 1117.12
Tue Dec 30 05:41:51 2014 -> Running matrix solving step ...
<...snipped...>
Tue Dec 30 05:41:54 2014  commencing linear algebra
Tue Dec 30 05:41:54 2014  read 1439872 cycles
Tue Dec 30 05:41:57 2014  cycles contain 4919255 unique relations
Tue Dec 30 05:42:35 2014  read 4919255 relations
Tue Dec 30 05:42:41 2014  using 20 quadratic characters above 268434774
Tue Dec 30 05:43:02 2014  building initial matrix
Tue Dec 30 05:43:42 2014  memory use: 595.0 MB
Tue Dec 30 05:43:43 2014  read 1439872 cycles
Tue Dec 30 05:43:43 2014  matrix is 1439690 x 1439872 (432.9 MB) with weight 126369281 (87.76/col)
Tue Dec 30 05:43:43 2014  sparse part has weight 97631965 (67.81/col)
Tue Dec 30 05:43:55 2014  filtering completed in 2 passes
Tue Dec 30 05:43:56 2014  matrix is 1436562 x 1436743 (432.6 MB) with weight 126264071 (87.88/col)
Tue Dec 30 05:43:56 2014  sparse part has weight 97593092 (67.93/col)
Tue Dec 30 05:43:58 2014  matrix starts at (0, 0)
Tue Dec 30 05:43:58 2014  matrix is 1436562 x 1436743 (432.6 MB) with weight 126264071 (87.88/col)
Tue Dec 30 05:43:58 2014  sparse part has weight 97593092 (67.93/col)
Tue Dec 30 05:43:58 2014  saving the first 48 matrix rows for later
Tue Dec 30 05:43:59 2014  matrix includes 64 packed rows
Tue Dec 30 05:43:59 2014  matrix is 1436514 x 1436743 (409.0 MB) with weight 100886837 (70.22/col)
Tue Dec 30 05:43:59 2014  sparse part has weight 92837981 (64.62/col)
Tue Dec 30 05:43:59 2014  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Tue Dec 30 05:44:05 2014  commencing Lanczos iteration (8 threads)
Tue Dec 30 05:44:05 2014  memory use: 328.0 MB
Tue Dec 30 05:44:10 2014  linear algebra at 0.1%, ETA 1h19m
Tue Dec 30 05:44:11 2014  checkpointing every 1220000 dimensions
Tue Dec 30 06:55:25 2014  lanczos halted after 22721 iterations (dim = 1436514)
Tue Dec 30 06:55:26 2014  recovered 40 nontrivial dependencies
Tue Dec 30 06:55:26 2014  BLanczosTime: 4412
Tue Dec 30 06:55:27 2014  elapsed time 01:13:36
Tue Dec 30 06:55:27 2014 -> Running square root step ...
<...snipped...>
Tue Dec 30 06:55:30 2014  commencing square root phase
Tue Dec 30 06:55:30 2014  reading relations for dependency 1
Tue Dec 30 06:55:30 2014  read 718534 cycles
Tue Dec 30 06:55:31 2014  cycles contain 2460480 unique relations
Tue Dec 30 06:56:11 2014  read 2460480 relations
Tue Dec 30 06:56:21 2014  multiplying 2460480 relations
Tue Dec 30 06:58:26 2014  multiply complete, coefficients have about 71.22 million bits
Tue Dec 30 06:58:27 2014  initial square root is modulo 129631
Tue Dec 30 07:01:08 2014  GCD is 1, no factor found
Tue Dec 30 07:01:08 2014  reading relations for dependency 2
Tue Dec 30 07:01:08 2014  read 718180 cycles
Tue Dec 30 07:01:09 2014  cycles contain 2459128 unique relations
Tue Dec 30 07:01:30 2014  read 2459128 relations
Tue Dec 30 07:01:39 2014  multiplying 2459128 relations
Tue Dec 30 07:03:45 2014  multiply complete, coefficients have about 71.18 million bits
Tue Dec 30 07:03:45 2014  initial square root is modulo 128861
Tue Dec 30 07:06:26 2014  sqrtTime: 656
Tue Dec 30 07:06:26 2014  prp49 factor: 1210070667553454300629508923750044633555218872469
Tue Dec 30 07:06:26 2014  prp105 factor: 269969323096908442021522672800798640127953308271870974861091544929851900557885104007066378228944217693281
Tue Dec 30 07:06:26 2014  elapsed time 00:10:59
Tue Dec 30 07:06:26 2014 -> Computing 1.41992e+09 scale for this machine...
Tue Dec 30 07:06:26 2014 -> procrels -speedtest> PIPE
Tue Dec 30 07:06:29 2014 -> Factorization summary written to s178-11151_177.txt



Number: 11151_177
N = 326681959018830186980936161003060484381368335474999397658177683052550311692595308965752482572865147580201696997375383044896710712305951898833756897180789 (153 digits)
SNFS difficulty: 178 digits.
Divisors found:
r1=1210070667553454300629508923750044633555218872469 (pp49)
r2=269969323096908442021522672800798640127953308271870974861091544929851900557885104007066378228944217693281 (pp105)
Version: Msieve v. 1.53 (SVN 965M)
Total time: 13.68 hours.
Factorization parameters were as follows:
#
# 11151_177, C153, SNFS_diff=177
#
n: 326681959018830186980936161003060484381368335474999397658177683052550311692595308965752482572865147580201696997375383044896710712305951898833756897180789
m: 100000000000000000000000000000000000
deg: 5
c5: 100
c0: 359
skew: 1.29
# Murphy_E = 9.283e-11
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5

Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 18785422
Relations: 2459128 relations
Pruned matrix : 1436514 x 1436743
Polynomial selection time: 0.00 hours.
Total sieving time: 12.16 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 1.23 hours.
time per square root: 0.18 hours.
Prototype def-par.txt line would be: snfs,178,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,53,53,2.5,2.5,100000
total time: 13.68 hours.
Intel64 Family 6 Model 26 Stepping 5, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.80GHz
software ソフトウェア
GGNFS-SVN440, msieve 1.53 (SVN 965)
execution environment 実行環境
Windows 7 Pro 64-bit, Intel Xeon W3530 @2.8GHz, 8GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62348300Serge BatalovDecember 10, 2014 19:46:26 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 26 秒 (日本時間)
2048Youcef LemsaferDecember 28, 2014 16:23:37 UTC 2014 年 12 月 29 日 (月) 1 時 23 分 37 秒 (日本時間)
4511e6960 / 3956Youcef LemsaferDecember 30, 2014 08:18:52 UTC 2014 年 12 月 30 日 (火) 17 時 18 分 52 秒 (日本時間)

10179+3599

c161

name 名前Jo Yeong Uk
date 日付December 7, 2015 02:18:41 UTC 2015 年 12 月 7 日 (月) 11 時 18 分 41 秒 (日本時間)
composite number 合成数
21759561573915032623241637198173283488642751150639269245076765041089831902173685232058922832934785897368463123277322161787000333814839417870944739997378523924369<161>
prime factors 素因数
11392862821470842271829418465217393597405977694242257776691266443<65>
1909929217519168548534525388408598619065934711884640779726742725888789226042770792979327218947283<97>
factorization results 素因数分解の結果
Number: 11151_179
N=21759561573915032623241637198173283488642751150639269245076765041089831902173685232058922832934785897368463123277322161787000333814839417870944739997378523924369
  ( 161 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=11392862821470842271829418465217393597405977694242257776691266443
 r2=1909929217519168548534525388408598619065934711884640779726742725888789226042770792979327218947283
Version: 
Total time: 48.82 hours.
Scaled time: 256.55 units (timescale=5.255).
Factorization parameters were as follows:
n: 21759561573915032623241637198173283488642751150639269245076765041089831902173685232058922832934785897368463123277322161787000333814839417870944739997378523924369
m: 1000000000000000000000000000000000000
deg: 5
c5: 1
c0: 3590
skew: 5.14
# Murphy_E = 8.694e-11
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [2800000, 5100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 17726455
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1297623 x 1297871
Total sieving time: 45.81 hours.
Total relation processing time: 1.06 hours.
Matrix solve time: 1.87 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,5600000,5600000,28,28,53,53,2.5,2.5,100000
total time: 48.82 hours.
 --------- CPU info (if available) ----------
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
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 9, 2014 12:08:24 UTC 2014 年 12 月 9 日 (火) 21 時 8 分 24 秒 (日本時間)
4511e6600 / 4413KTakahashiMay 9, 2015 13:41:42 UTC 2015 年 5 月 9 日 (土) 22 時 41 分 42 秒 (日本時間)

10180+3599

c122

name 名前Erik Branger
date 日付December 14, 2014 18:20:03 UTC 2014 年 12 月 15 日 (月) 3 時 20 分 3 秒 (日本時間)
composite number 合成数
36852608967076439630777346348422250326115262928248525844463891168239175795094678383116413673028100421278024235401539272381<122>
prime factors 素因数
1829100701803355980641483316726877596092053<43>
20147938782562673410843078750526417377594831445251847743914650750010095325943177<80>
factorization results 素因数分解の結果
Number: 11151_180
N = 36852608967076439630777346348422250326115262928248525844463891168239175795094678383116413673028100421278024235401539272381 (122 digits)
Divisors found:
r1=1829100701803355980641483316726877596092053 (pp43)
r2=20147938782562673410843078750526417377594831445251847743914650750010095325943177 (pp80)
Version: Msieve v. 1.51 (SVN 845)
Total time: 31.49 hours.
Factorization parameters were as follows:
n: 36852608967076439630777346348422250326115262928248525844463891168239175795094678383116413673028100421278024235401539272381
Y0: -226129395056224538976550
Y1: 2243331245177
c0: 52253248159234536602713494333
c1: 10640707639723685632995482
c2: 39326334237121162095
c3: -7295740078374670
c4: -822713968
c5: 62328
skew: 99809.49  
type: gnfs
Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10916057
Relations: 1283790 relations
Pruned matrix : 739253 x 739492
Polynomial selection time: 0.00 hours.
Total sieving time: 30.92 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.42 hours.
time per square root: 0.09 hours.
Prototype def-par.txt line would be: gnfs,121,5,65,2000,1e-05,0.28,250,20,50000,3600,4700000,4700000,27,27,53,53,2.5,2.5,100000
total time: 31.49 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz
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
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 9, 2014 00:57:18 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 18 秒 (日本時間)

10182+3599

c181

name 名前Robert Backstrom
date 日付December 23, 2014 00:13:04 UTC 2014 年 12 月 23 日 (火) 9 時 13 分 4 秒 (日本時間)
composite number 合成数
3703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703717<181>
prime factors 素因数
93612048281733967668441052901190412811440128494851454611561138795343736661<74>
39564391247556839896751033570984666770682208749891024563199891385555843104508069925484233185837781397191697<107>
factorization results 素因数分解の結果
Number: n
N=3703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703717
  ( 181 digits)
SNFS difficulty: 182 digits.
Divisors found:

Tue Dec 23 11:09:59 2014  prp74 factor: 93612048281733967668441052901190412811440128494851454611561138795343736661
Tue Dec 23 11:09:59 2014  prp107 factor: 39564391247556839896751033570984666770682208749891024563199891385555843104508069925484233185837781397191697
Tue Dec 23 11:09:59 2014  elapsed time 00:39:14 (Msieve 1.44 - dependency 3)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.273).
Factorization parameters were as follows:
#
#  N = 10^182+359 1(180)51
#
n: 3703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703717
m: 1000000000000000000000000000000000000
deg: 5
c5: 100
c0: 359
skew: 1.29
# Murphy_E = 5.838e-11
type: snfs
lss: 1
rlim: 7600000
alim: 7600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7600000/7600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 12200000)
Primes: RFBsize:514565, AFBsize:514142,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 5544355 hash collisions in 35835134 relations (32101465 unique)
Msieve: matrix is 969164 x 969403 (268.4 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0hrs 27min 57sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 19sec.

Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,7600000,7600000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.038684] smpboot: CPU0: Intel(R) Core(TM) i7-4790 CPU @ 3.60GHz (fam: 06, model: 3c, stepping: 03)
[    0.000000] Memory: 16059644K/16661464K available (7373K kernel code, 1159K rwdata, 3228K rodata, 1468K init, 1504K bss, 601820K reserved)
[    1.137325] [drm] Memory usable by graphics device = 2048M
[    0.000027] Calibrating delay loop (skipped), value calculated using timer frequency.. 7200.13 BogoMIPS (lpj=3600065)
[    0.136532] smpboot: Total of 8 processors activated (57601.04 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 8, 2014 19:27:35 UTC 2014 年 12 月 9 日 (火) 4 時 27 分 35 秒 (日本時間)

10183+3599

c174

name 名前Serge Batalov
date 日付December 10, 2014 20:29:28 UTC 2014 年 12 月 11 日 (木) 5 時 29 分 28 秒 (日本時間)
composite number 合成数
250818228694033810295723046385463660604878422223136755647686408301322487593952899821519729925332223460664816404170504276487293285551447461475968575404498275795108714915150191<174>
prime factors 素因数
2904158074313274803522593439237<31>
3188198050800833242038161785573<31>
composite cofactor 合成数の残り
27089036170957993560159600221573681569467389290748703023347531946330293444693446999386044776167918490137888580391<113>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2464305220
Step 1 took 13794ms
********** Factor found in step 1: 2904158074313274803522593439237
Found probable prime factor of 31 digits: 2904158074313274803522593439237
Composite cofactor 86365212318321542360890717333533854114196765367821213722726266887015220474982534800140764011935301309581089607365421662481686176829846714499043 has 143 digits
--
Input number is 250818228694033810295723046385463660604878422223136755647686408301322487593952899821519729925332223460664816404170504276487293285551447461475968575404498275795108714915150191 (174 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=848378410
Step 1 took 13792ms
Step 2 took 9171ms
********** Factor found in step 2: 3188198050800833242038161785573
Found probable prime factor of 31 digits: 3188198050800833242038161785573

c113

name 名前Cyp
date 日付December 12, 2014 11:21:41 UTC 2014 年 12 月 12 日 (金) 20 時 21 分 41 秒 (日本時間)
composite number 合成数
27089036170957993560159600221573681569467389290748703023347531946330293444693446999386044776167918490137888580391<113>
prime factors 素因数
4182663026389672754371422195697677777695003521<46>
6476504561817473122171880331614291065526029077622434332857669282471<67>
factorization results 素因数分解の結果
12/12/14 09:54:27 v1.34.3, 
12/12/14 09:54:27 v1.34.3, ****************************
12/12/14 09:54:27 v1.34.3, Starting factorization of 27089036170957993560159600221573681569467389290748703023347531946330293444693446999386044776167918490137888580391
12/12/14 09:54:27 v1.34.3, using pretesting plan: none
12/12/14 09:54:27 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/12/14 09:54:27 v1.34.3, ****************************
12/12/14 09:54:27 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C113
12/12/14 09:54:27 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C113
12/12/14 09:54:27 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C113
12/12/14 09:54:27 v1.34.3, final ECM pretested depth: 0.00
12/12/14 09:54:27 v1.34.3, scheduler: switching to sieve method
12/12/14 09:54:27 v1.34.3, nfs: commencing nfs on c113: 27089036170957993560159600221573681569467389290748703023347531946330293444693446999386044776167918490137888580391
12/12/14 09:54:27 v1.34.3, nfs: commencing poly selection with 8 threads
12/12/14 09:54:27 v1.34.3, nfs: setting deadline of 675 seconds
12/12/14 10:05:32 v1.34.3, nfs: completed 130 ranges of size 250 in 664.2478 seconds
12/12/14 10:05:32 v1.34.3, nfs: best poly = # norm 1.004001e-10 alpha -5.227311 e 6.988e-10 rroots 5
12/12/14 10:05:32 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/12/14 10:11:33 v1.34.3, nfs: commencing lattice sieving with 8 threads
[19 lines snipped]
12/12/14 12:00:10 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/12/14 12:06:03 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/12/14 12:11:35 v1.34.3, nfs: commencing msieve filtering
12/12/14 12:13:30 v1.34.3, nfs: commencing msieve linear algebra
12/12/14 12:19:27 v1.34.3, nfs: commencing msieve sqrt
12/12/14 12:21:39 v1.34.3, prp46 = 4182663026389672754371422195697677777695003521
12/12/14 12:21:39 v1.34.3, prp67 = 6476504561817473122171880331614291065526029077622434332857669282471
12/12/14 12:21:40 v1.34.3, NFS elapsed time = 8832.2349 seconds.
12/12/14 12:21:40 v1.34.3, 
12/12/14 12:21:40 v1.34.3, 
12/12/14 12:21:40 v1.34.3, Total factoring time = 8832.2577 seconds
--
Fri Dec 12 12:11:35 2014  
Fri Dec 12 12:11:35 2014  commencing relation filtering
Fri Dec 12 12:11:35 2014  estimated available RAM is 15987.3 MB
Fri Dec 12 12:11:35 2014  commencing duplicate removal, pass 1
Fri Dec 12 12:12:06 2014  found 1029817 hash collisions in 10167280 relations
Fri Dec 12 12:12:16 2014  added 62856 free relations
Fri Dec 12 12:12:16 2014  commencing duplicate removal, pass 2
Fri Dec 12 12:12:24 2014  found 450844 duplicates and 9779292 unique relations
Fri Dec 12 12:12:24 2014  memory use: 41.3 MB
Fri Dec 12 12:12:24 2014  reading ideals above 100000
Fri Dec 12 12:12:24 2014  commencing singleton removal, initial pass
Fri Dec 12 12:13:09 2014  memory use: 344.5 MB
Fri Dec 12 12:13:09 2014  reading all ideals from disk
Fri Dec 12 12:13:10 2014  memory use: 336.2 MB
Fri Dec 12 12:13:10 2014  keeping 10547076 ideals with weight <= 200, target excess is 62183
Fri Dec 12 12:13:10 2014  commencing in-memory singleton removal
Fri Dec 12 12:13:11 2014  begin with 9779292 relations and 10547076 unique ideals
Fri Dec 12 12:13:14 2014  reduce to 3683239 relations and 3324159 ideals in 18 passes
Fri Dec 12 12:13:14 2014  max relations containing the same ideal: 104
Fri Dec 12 12:13:15 2014  removing 874681 relations and 731207 ideals in 143474 cliques
Fri Dec 12 12:13:15 2014  commencing in-memory singleton removal
Fri Dec 12 12:13:15 2014  begin with 2808558 relations and 3324159 unique ideals
Fri Dec 12 12:13:16 2014  reduce to 2639485 relations and 2414996 ideals in 12 passes
Fri Dec 12 12:13:16 2014  max relations containing the same ideal: 85
Fri Dec 12 12:13:17 2014  removing 664111 relations and 520637 ideals in 143474 cliques
Fri Dec 12 12:13:17 2014  commencing in-memory singleton removal
Fri Dec 12 12:13:17 2014  begin with 1975374 relations and 2414996 unique ideals
Fri Dec 12 12:13:18 2014  reduce to 1834898 relations and 1746026 ideals in 10 passes
Fri Dec 12 12:13:18 2014  max relations containing the same ideal: 65
Fri Dec 12 12:13:18 2014  removing 126649 relations and 109910 ideals in 16739 cliques
Fri Dec 12 12:13:18 2014  commencing in-memory singleton removal
Fri Dec 12 12:13:18 2014  begin with 1708249 relations and 1746026 unique ideals
Fri Dec 12 12:13:18 2014  reduce to 1702145 relations and 1629963 ideals in 7 passes
Fri Dec 12 12:13:18 2014  max relations containing the same ideal: 64
Fri Dec 12 12:13:19 2014  relations with 0 large ideals: 277
Fri Dec 12 12:13:19 2014  relations with 1 large ideals: 2890
Fri Dec 12 12:13:19 2014  relations with 2 large ideals: 23947
Fri Dec 12 12:13:19 2014  relations with 3 large ideals: 110009
Fri Dec 12 12:13:19 2014  relations with 4 large ideals: 293738
Fri Dec 12 12:13:19 2014  relations with 5 large ideals: 467149
Fri Dec 12 12:13:19 2014  relations with 6 large ideals: 449348
Fri Dec 12 12:13:19 2014  relations with 7+ large ideals: 354787
Fri Dec 12 12:13:19 2014  commencing 2-way merge
Fri Dec 12 12:13:19 2014  reduce to 956819 relation sets and 884636 unique ideals
Fri Dec 12 12:13:19 2014  commencing full merge
Fri Dec 12 12:13:26 2014  memory use: 99.1 MB
Fri Dec 12 12:13:26 2014  found 474269 cycles, need 464836
Fri Dec 12 12:13:26 2014  weight of 464836 cycles is about 32705253 (70.36/cycle)
Fri Dec 12 12:13:26 2014  distribution of cycle lengths:
Fri Dec 12 12:13:26 2014  1 relations: 48729
Fri Dec 12 12:13:26 2014  2 relations: 47360
Fri Dec 12 12:13:26 2014  3 relations: 48885
Fri Dec 12 12:13:26 2014  4 relations: 45647
Fri Dec 12 12:13:26 2014  5 relations: 43563
Fri Dec 12 12:13:26 2014  6 relations: 38797
Fri Dec 12 12:13:26 2014  7 relations: 34668
Fri Dec 12 12:13:26 2014  8 relations: 30547
Fri Dec 12 12:13:26 2014  9 relations: 26932
Fri Dec 12 12:13:26 2014  10+ relations: 99708
Fri Dec 12 12:13:26 2014  heaviest cycle: 20 relations
Fri Dec 12 12:13:27 2014  commencing cycle optimization
Fri Dec 12 12:13:27 2014  start with 2901545 relations
Fri Dec 12 12:13:29 2014  pruned 61506 relations
Fri Dec 12 12:13:29 2014  memory use: 97.6 MB
Fri Dec 12 12:13:29 2014  distribution of cycle lengths:
Fri Dec 12 12:13:29 2014  1 relations: 48729
Fri Dec 12 12:13:29 2014  2 relations: 48306
Fri Dec 12 12:13:29 2014  3 relations: 50357
Fri Dec 12 12:13:29 2014  4 relations: 46709
Fri Dec 12 12:13:29 2014  5 relations: 44530
Fri Dec 12 12:13:29 2014  6 relations: 39323
Fri Dec 12 12:13:29 2014  7 relations: 35276
Fri Dec 12 12:13:29 2014  8 relations: 30856
Fri Dec 12 12:13:29 2014  9 relations: 26721
Fri Dec 12 12:13:29 2014  10+ relations: 94029
Fri Dec 12 12:13:29 2014  heaviest cycle: 20 relations
Fri Dec 12 12:13:30 2014  RelProcTime: 115
Fri Dec 12 12:13:30 2014  
Fri Dec 12 12:13:30 2014  commencing linear algebra
Fri Dec 12 12:13:30 2014  read 464836 cycles
Fri Dec 12 12:13:30 2014  cycles contain 1640631 unique relations
Fri Dec 12 12:13:41 2014  read 1640631 relations
Fri Dec 12 12:13:42 2014  using 20 quadratic characters above 134216394
Fri Dec 12 12:13:47 2014  building initial matrix
Fri Dec 12 12:13:55 2014  memory use: 202.8 MB
Fri Dec 12 12:13:55 2014  read 464836 cycles
Fri Dec 12 12:13:55 2014  matrix is 464656 x 464836 (139.9 MB) with weight 44246392 (95.19/col)
Fri Dec 12 12:13:55 2014  sparse part has weight 31555328 (67.88/col)
Fri Dec 12 12:13:57 2014  filtering completed in 2 passes
Fri Dec 12 12:13:57 2014  matrix is 463960 x 464140 (139.8 MB) with weight 44217710 (95.27/col)
Fri Dec 12 12:13:57 2014  sparse part has weight 31545709 (67.97/col)
Fri Dec 12 12:13:58 2014  matrix starts at (0, 0)
Fri Dec 12 12:13:58 2014  matrix is 463960 x 464140 (139.8 MB) with weight 44217710 (95.27/col)
Fri Dec 12 12:13:58 2014  sparse part has weight 31545709 (67.97/col)
Fri Dec 12 12:13:58 2014  saving the first 48 matrix rows for later
Fri Dec 12 12:13:58 2014  matrix includes 64 packed rows
Fri Dec 12 12:13:58 2014  matrix is 463912 x 464140 (135.0 MB) with weight 35046077 (75.51/col)
Fri Dec 12 12:13:58 2014  sparse part has weight 30753958 (66.26/col)
Fri Dec 12 12:13:58 2014  using block size 65536 for processor cache size 8192 kB
Fri Dec 12 12:13:59 2014  commencing Lanczos iteration (8 threads)
Fri Dec 12 12:13:59 2014  memory use: 129.0 MB
Fri Dec 12 12:14:07 2014  linear algebra at 2.6%, ETA 0h 4m
Fri Dec 12 12:19:26 2014  lanczos halted after 7337 iterations (dim = 463912)
Fri Dec 12 12:19:27 2014  recovered 31 nontrivial dependencies
Fri Dec 12 12:19:27 2014  BLanczosTime: 357
Fri Dec 12 12:19:27 2014  
Fri Dec 12 12:19:27 2014  commencing square root phase
Fri Dec 12 12:19:27 2014  reading relations for dependency 1
Fri Dec 12 12:19:27 2014  read 232480 cycles
Fri Dec 12 12:19:27 2014  cycles contain 820460 unique relations
Fri Dec 12 12:19:36 2014  read 820460 relations
Fri Dec 12 12:19:37 2014  multiplying 820460 relations
Fri Dec 12 12:20:03 2014  multiply complete, coefficients have about 35.36 million bits
Fri Dec 12 12:20:03 2014  initial square root is modulo 119687
Fri Dec 12 12:20:34 2014  GCD is N, no factor found
Fri Dec 12 12:20:34 2014  reading relations for dependency 2
Fri Dec 12 12:20:34 2014  read 231945 cycles
Fri Dec 12 12:20:34 2014  cycles contain 819492 unique relations
Fri Dec 12 12:20:42 2014  read 819492 relations
Fri Dec 12 12:20:44 2014  multiplying 819492 relations
Fri Dec 12 12:21:08 2014  multiply complete, coefficients have about 35.32 million bits
Fri Dec 12 12:21:09 2014  initial square root is modulo 117959
Fri Dec 12 12:21:39 2014  sqrtTime: 132
--
n: 27089036170957993560159600221573681569467389290748703023347531946330293444693446999386044776167918490137888580391
skew: 32976.99
c0: 46129513596007392906546240
c1: 36679261943215964214216
c2: -292602485443979442
c3: -63853620305161
c4: 250836082
c5: 24780
Y0: -4052643299364943752109
Y1: 322615383767
rlim: 3980000
alim: 3980000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:46:26 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 26 秒 (日本時間)

10184+3599

c184

name 名前Serge Batalov
date 日付December 9, 2014 07:08:26 UTC 2014 年 12 月 9 日 (火) 16 時 8 分 26 秒 (日本時間)
composite number 合成数
1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111151<184>
prime factors 素因数
862394279717305532100390815528587644022329180680096528687611052177296469<72>
1288402691487396489250328739909028007508902040073714883911365741794993713939790616400942298263400639975730972979<112>
factorization results 素因数分解の結果
RelProcTime: 1089
BLanczosTime: 1469
sqrtTime: 190
prp72 factor: 862394279717305532100390815528587644022329180680096528687611052177296469
prp112 factor: 1288402691487396489250328739909028007508902040073714883911365741794993713939790616400942298263400639975730972979

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 8, 2014 19:27:36 UTC 2014 年 12 月 9 日 (火) 4 時 27 分 36 秒 (日本時間)

10186+3599

c128

name 名前Pierre Jammes
date 日付January 7, 2015 21:01:07 UTC 2015 年 1 月 8 日 (木) 6 時 1 分 7 秒 (日本時間)
composite number 合成数
22427874992546170401584072201786532695959945157211932094110904112911972308229575663259508057156509495182424209338525704402726317<128>
prime factors 素因数
10070645830073692496435149019030949096487<41>
2227054289365476892290245844542552699720088157016464381052473646327900762818344170158091<88>
factorization results 素因数分解の結果
Using B1=11000000, B2=144269945836, polynomial Dickson(12), sigma=1240247172
Step 1 took 58296ms
Step 2 took 48820ms
********** Factor found in step 2: 10070645830073692496435149019030949096487
Found probable prime factor of 41 digits: 10070645830073692496435149019030949096487
Probable prime cofactor 2227054289365476892290245844542552699720088157016464381052473646327900762818344170158091 has 88 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Debian 8

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 9, 2014 00:57:22 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 22 秒 (日本時間)

10188+3599

c160

name 名前LegionMammal978
date 日付July 17, 2017 12:46:34 UTC 2017 年 7 月 17 日 (月) 21 時 46 分 34 秒 (日本時間)
composite number 合成数
2814342286185442279276132759197152251397121128378144198285476573909785056553031273191393652085884645208902280828177852883959660317481288421295726603760921137297<160>
prime factors 素因数
1067968051130789078309773052893789126097<40>
2635230785420548946475403349640411411698238506814709044172523060848539930437857807459379336903189747405561961884800849601<121>
factorization results 素因数分解の結果
Mon Jul 17 02:10:00 2017  Msieve v. 1.53 (SVN Unversioned directory)
Mon Jul 17 02:10:00 2017  random seeds: c28b9ddd 0b201eb5
Mon Jul 17 02:10:00 2017  factoring 2814342286185442279276132759197152251397121128378144198285476573909785056553031273191393652085884645208902280828177852883959660317481288421295726603760921137297 (160 digits)
Mon Jul 17 02:10:01 2017  no P-1/P+1/ECM available, skipping
Mon Jul 17 02:10:01 2017  commencing number field sieve (160-digit input)
Mon Jul 17 02:10:01 2017  R0: -10000000000000000000000000000000000000
Mon Jul 17 02:10:01 2017  R1: 1
Mon Jul 17 02:10:01 2017  A0: 359
Mon Jul 17 02:10:01 2017  A1: 0
Mon Jul 17 02:10:01 2017  A2: 0
Mon Jul 17 02:10:01 2017  A3: 0
Mon Jul 17 02:10:01 2017  A4: 0
Mon Jul 17 02:10:01 2017  A5: 1000
Mon Jul 17 02:10:01 2017  skew 0.81, size 2.508e-13, alpha -0.284, combined = 3.659e-11 rroots = 1
Mon Jul 17 02:10:01 2017  
Mon Jul 17 02:10:01 2017  commencing relation filtering
Mon Jul 17 02:10:01 2017  estimated available RAM is 15929.4 MB
Mon Jul 17 02:10:01 2017  commencing duplicate removal, pass 1
Mon Jul 17 02:12:41 2017  found 3419579 hash collisions in 22387670 relations
Mon Jul 17 02:12:59 2017  added 324 free relations
Mon Jul 17 02:12:59 2017  commencing duplicate removal, pass 2
Mon Jul 17 02:13:05 2017  found 3125477 duplicates and 19262517 unique relations
Mon Jul 17 02:13:05 2017  memory use: 106.6 MB
Mon Jul 17 02:13:05 2017  reading ideals above 720000
Mon Jul 17 02:13:05 2017  commencing singleton removal, initial pass
Mon Jul 17 02:15:04 2017  memory use: 689.0 MB
Mon Jul 17 02:15:04 2017  reading all ideals from disk
Mon Jul 17 02:15:04 2017  memory use: 614.4 MB
Mon Jul 17 02:15:05 2017  keeping 21412137 ideals with weight <= 200, target excess is 115987
Mon Jul 17 02:15:06 2017  commencing in-memory singleton removal
Mon Jul 17 02:15:07 2017  begin with 19262517 relations and 21412137 unique ideals
Mon Jul 17 02:15:15 2017  reduce to 7819107 relations and 7631143 ideals in 19 passes
Mon Jul 17 02:15:15 2017  max relations containing the same ideal: 106
Mon Jul 17 02:15:17 2017  removing 387441 relations and 360731 ideals in 26710 cliques
Mon Jul 17 02:15:17 2017  commencing in-memory singleton removal
Mon Jul 17 02:15:17 2017  begin with 7431666 relations and 7631143 unique ideals
Mon Jul 17 02:15:20 2017  reduce to 7414750 relations and 7253403 ideals in 8 passes
Mon Jul 17 02:15:20 2017  max relations containing the same ideal: 102
Mon Jul 17 02:15:22 2017  removing 277295 relations and 250585 ideals in 26710 cliques
Mon Jul 17 02:15:22 2017  commencing in-memory singleton removal
Mon Jul 17 02:15:22 2017  begin with 7137455 relations and 7253403 unique ideals
Mon Jul 17 02:15:25 2017  reduce to 7127896 relations and 6993215 ideals in 9 passes
Mon Jul 17 02:15:25 2017  max relations containing the same ideal: 99
Mon Jul 17 02:15:28 2017  relations with 0 large ideals: 2858
Mon Jul 17 02:15:28 2017  relations with 1 large ideals: 869
Mon Jul 17 02:15:28 2017  relations with 2 large ideals: 16306
Mon Jul 17 02:15:28 2017  relations with 3 large ideals: 128620
Mon Jul 17 02:15:28 2017  relations with 4 large ideals: 547340
Mon Jul 17 02:15:28 2017  relations with 5 large ideals: 1360410
Mon Jul 17 02:15:28 2017  relations with 6 large ideals: 2096853
Mon Jul 17 02:15:28 2017  relations with 7+ large ideals: 2974640
Mon Jul 17 02:15:28 2017  commencing 2-way merge
Mon Jul 17 02:15:30 2017  reduce to 4166834 relation sets and 4032153 unique ideals
Mon Jul 17 02:15:30 2017  commencing full merge
Mon Jul 17 02:16:12 2017  memory use: 488.3 MB
Mon Jul 17 02:16:12 2017  found 2133552 cycles, need 2120353
Mon Jul 17 02:16:13 2017  weight of 2120353 cycles is about 148635813 (70.10/cycle)
Mon Jul 17 02:16:13 2017  distribution of cycle lengths:
Mon Jul 17 02:16:13 2017  1 relations: 319342
Mon Jul 17 02:16:13 2017  2 relations: 277466
Mon Jul 17 02:16:13 2017  3 relations: 253667
Mon Jul 17 02:16:13 2017  4 relations: 217933
Mon Jul 17 02:16:13 2017  5 relations: 187839
Mon Jul 17 02:16:13 2017  6 relations: 153615
Mon Jul 17 02:16:13 2017  7 relations: 130332
Mon Jul 17 02:16:13 2017  8 relations: 107094
Mon Jul 17 02:16:13 2017  9 relations: 87942
Mon Jul 17 02:16:13 2017  10+ relations: 385123
Mon Jul 17 02:16:13 2017  heaviest cycle: 26 relations
Mon Jul 17 02:16:13 2017  commencing cycle optimization
Mon Jul 17 02:16:15 2017  start with 12226257 relations
Mon Jul 17 02:16:26 2017  pruned 259929 relations
Mon Jul 17 02:16:27 2017  memory use: 410.7 MB
Mon Jul 17 02:16:27 2017  distribution of cycle lengths:
Mon Jul 17 02:16:27 2017  1 relations: 319342
Mon Jul 17 02:16:27 2017  2 relations: 283104
Mon Jul 17 02:16:27 2017  3 relations: 261888
Mon Jul 17 02:16:27 2017  4 relations: 221530
Mon Jul 17 02:16:27 2017  5 relations: 191026
Mon Jul 17 02:16:27 2017  6 relations: 154367
Mon Jul 17 02:16:27 2017  7 relations: 130350
Mon Jul 17 02:16:27 2017  8 relations: 106040
Mon Jul 17 02:16:27 2017  9 relations: 86475
Mon Jul 17 02:16:27 2017  10+ relations: 366231
Mon Jul 17 02:16:27 2017  heaviest cycle: 26 relations
Mon Jul 17 02:16:28 2017  RelProcTime: 387
Mon Jul 17 02:16:29 2017  elapsed time 00:06:29
Mon Jul 17 02:16:29 2017 LatSieveTime: 1227.87
Mon Jul 17 02:16:29 2017 -> Running matrix solving step ...
Mon Jul 17 02:16:29 2017 -> ./msieve -s 11151_188/11151_188.dat -l 11151_188/11151_188.log -i 11151_188/11151_188.ini -nf 11151_188/11151_188.fb -t 4 -nc2
Mon Jul 17 02:16:29 2017  
Mon Jul 17 02:16:29 2017  
Mon Jul 17 02:16:29 2017  Msieve v. 1.53 (SVN Unversioned directory)
Mon Jul 17 02:16:29 2017  random seeds: 117f20cd ad774600
Mon Jul 17 02:16:29 2017  factoring 2814342286185442279276132759197152251397121128378144198285476573909785056553031273191393652085884645208902280828177852883959660317481288421295726603760921137297 (160 digits)
Mon Jul 17 02:16:30 2017  no P-1/P+1/ECM available, skipping
Mon Jul 17 02:16:30 2017  commencing number field sieve (160-digit input)
Mon Jul 17 02:16:30 2017  R0: -10000000000000000000000000000000000000
Mon Jul 17 02:16:30 2017  R1: 1
Mon Jul 17 02:16:30 2017  A0: 359
Mon Jul 17 02:16:30 2017  A1: 0
Mon Jul 17 02:16:30 2017  A2: 0
Mon Jul 17 02:16:30 2017  A3: 0
Mon Jul 17 02:16:30 2017  A4: 0
Mon Jul 17 02:16:30 2017  A5: 1000
Mon Jul 17 02:16:30 2017  skew 0.81, size 2.508e-13, alpha -0.284, combined = 3.659e-11 rroots = 1
Mon Jul 17 02:16:30 2017  
Mon Jul 17 02:16:30 2017  commencing linear algebra
Mon Jul 17 02:16:30 2017  read 2120353 cycles
Mon Jul 17 02:16:32 2017  cycles contain 6964215 unique relations
Mon Jul 17 02:17:06 2017  read 6964215 relations
Mon Jul 17 02:17:10 2017  using 20 quadratic characters above 4294917295
Mon Jul 17 02:17:37 2017  building initial matrix
Mon Jul 17 02:18:17 2017  memory use: 860.9 MB
Mon Jul 17 02:18:18 2017  read 2120353 cycles
Mon Jul 17 02:18:18 2017  matrix is 2120176 x 2120353 (636.8 MB) with weight 189567584 (89.40/col)
Mon Jul 17 02:18:18 2017  sparse part has weight 143607505 (67.73/col)
Mon Jul 17 02:18:28 2017  filtering completed in 2 passes
Mon Jul 17 02:18:29 2017  matrix is 2117652 x 2117829 (636.6 MB) with weight 189483186 (89.47/col)
Mon Jul 17 02:18:29 2017  sparse part has weight 143581504 (67.80/col)
Mon Jul 17 02:18:33 2017  matrix starts at (0, 0)
Mon Jul 17 02:18:33 2017  matrix is 2117652 x 2117829 (636.6 MB) with weight 189483186 (89.47/col)
Mon Jul 17 02:18:33 2017  sparse part has weight 143581504 (67.80/col)
Mon Jul 17 02:18:33 2017  saving the first 48 matrix rows for later
Mon Jul 17 02:18:33 2017  matrix includes 64 packed rows
Mon Jul 17 02:18:33 2017  matrix is 2117604 x 2117829 (607.5 MB) with weight 150772196 (71.19/col)
Mon Jul 17 02:18:33 2017  sparse part has weight 138068466 (65.19/col)
Mon Jul 17 02:18:33 2017  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Mon Jul 17 02:18:38 2017  commencing Lanczos iteration (4 threads)
Mon Jul 17 02:18:38 2017  memory use: 487.7 MB
Mon Jul 17 02:18:43 2017  linear algebra at 0.1%, ETA 1h32m
Mon Jul 17 02:18:45 2017  checkpointing every 1220000 dimensions
Mon Jul 17 04:08:28 2017  lanczos halted after 33494 iterations (dim = 2117603)
Mon Jul 17 04:08:30 2017  recovered 38 nontrivial dependencies
Mon Jul 17 04:08:30 2017  BLanczosTime: 6720
Mon Jul 17 04:08:30 2017  elapsed time 01:52:01
Mon Jul 17 04:08:30 2017 -> Running square root step ...
Mon Jul 17 04:08:30 2017 -> ./msieve -s 11151_188/11151_188.dat -l 11151_188/11151_188.log -i 11151_188/11151_188.ini -nf 11151_188/11151_188.fb -t 4 -nc3
Mon Jul 17 04:08:30 2017  
Mon Jul 17 04:08:30 2017  
Mon Jul 17 04:08:30 2017  Msieve v. 1.53 (SVN Unversioned directory)
Mon Jul 17 04:08:30 2017  random seeds: 2e808ae2 7a779af7
Mon Jul 17 04:08:30 2017  factoring 2814342286185442279276132759197152251397121128378144198285476573909785056553031273191393652085884645208902280828177852883959660317481288421295726603760921137297 (160 digits)
Mon Jul 17 04:08:30 2017  no P-1/P+1/ECM available, skipping
Mon Jul 17 04:08:30 2017  commencing number field sieve (160-digit input)
Mon Jul 17 04:08:30 2017  R0: -10000000000000000000000000000000000000
Mon Jul 17 04:08:30 2017  R1: 1
Mon Jul 17 04:08:30 2017  A0: 359
Mon Jul 17 04:08:30 2017  A1: 0
Mon Jul 17 04:08:30 2017  A2: 0
Mon Jul 17 04:08:30 2017  A3: 0
Mon Jul 17 04:08:30 2017  A4: 0
Mon Jul 17 04:08:30 2017  A5: 1000
Mon Jul 17 04:08:30 2017  skew 0.81, size 2.508e-13, alpha -0.284, combined = 3.659e-11 rroots = 1
Mon Jul 17 04:08:30 2017  
Mon Jul 17 04:08:30 2017  commencing square root phase
Mon Jul 17 04:08:30 2017  reading relations for dependency 1
Mon Jul 17 04:08:31 2017  read 1059281 cycles
Mon Jul 17 04:08:32 2017  cycles contain 3482084 unique relations
Mon Jul 17 04:08:49 2017  read 3482084 relations
Mon Jul 17 04:08:59 2017  multiplying 3482084 relations
Mon Jul 17 04:10:41 2017  multiply complete, coefficients have about 112.81 million bits
Mon Jul 17 04:10:41 2017  initial square root is modulo 125146531
Mon Jul 17 04:12:50 2017  Newton iteration failed to converge
Mon Jul 17 04:12:50 2017  algebraic square root failed
Mon Jul 17 04:12:50 2017  reading relations for dependency 2
Mon Jul 17 04:12:51 2017  read 1060184 cycles
Mon Jul 17 04:12:52 2017  cycles contain 3486230 unique relations
Mon Jul 17 04:13:09 2017  read 3486230 relations
Mon Jul 17 04:13:19 2017  multiplying 3486230 relations
Mon Jul 17 04:15:00 2017  multiply complete, coefficients have about 112.95 million bits
Mon Jul 17 04:15:00 2017  initial square root is modulo 127971391
Mon Jul 17 04:17:09 2017  sqrtTime: 519
Mon Jul 17 04:17:09 2017  p40 factor: 1067968051130789078309773052893789126097
Mon Jul 17 04:17:09 2017  p121 factor: 2635230785420548946475403349640411411698238506814709044172523060848539930437857807459379336903189747405561961884800849601
Mon Jul 17 04:17:09 2017  elapsed time 00:08:39
software ソフトウェア
Msieve 1.53 snfs
execution environment 実行環境
Core i7-2600K 3.4GHz, Ubuntu 16.04.2 LTS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:46:26 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 26 秒 (日本時間)
4511e6585 / 4409CypMay 12, 2015 15:59:59 UTC 2015 年 5 月 13 日 (水) 0 時 59 分 59 秒 (日本時間)

10189+3599

c181

name 名前Kenji Ibusuki
date 日付March 28, 2018 14:10:45 UTC 2018 年 3 月 28 日 (水) 23 時 10 分 45 秒 (日本時間)
composite number 合成数
2513694842016076471101635285939059947959528698606412355606487034966548490582428449065138412597132342235239240139911953263233774452340487819133764016233612220989078943574395587793893<181>
prime factors 素因数
1527058231739107156989320921660011968713694923420870487232071944001461131078654257523097<88>
1646102807195065048677603751585161354030839288437455543324916639353841161023045686127410586669<94>
factorization results 素因数分解の結果
Number: 11151_189
N=2513694842016076471101635285939059947959528698606412355606487034966548490582428449065138412597132342235239240139911953263233774452340487819133764016233612220989078943574395587793893
  ( 181 digits)
SNFS difficulty: 189 digits.
Divisors found: (Total dependency: 2)
 r1=1527058231739107156989320921660011968713694923420870487232071944001461131078654257523097 (pp88)
 r2=1646102807195065048677603751585161354030839288437455543324916639353841161023045686127410586669 (pp94)
Msieve version: Msieve v. 1.49 (SVN unknown)
GGNFS version: GGNFS-0.77.1-VC8(UTE)
Total time: 369.00 hours (18.52 calendar hours).
Scaled time: 1631.37 units (timescale=4.421).
Factorization parameters were as follows:
n: 2513694842016076471101635285939059947959528698606412355606487034966548490582428449065138412597132342235239240139911953263233774452340487819133764016233612220989078943574395587793893
m: 50000000000000000000000000000000000000
deg: 5
c5: 16
c0: 1795
skew: 2.57
# Murphy_E = 3.407e-11
type: snfs
lss: 1
rlim: 10200000
alim: 10200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
relslim: 29100000
qintsize: 5000

Polynomial score was as follows:
skew 2.57, size 2.759e-013, alpha 0.228, combined = 3.830e-011 rroots = 1
Factor base limits: 10200000/10200000
Large primes per side: 3
Large prime bits: 28/28
Sieved special-q in [5100000, 25480001)
Relations: raw-rels:29269820 rels:24932507, finalFF:1665806
Pruned matrix : 1665372 x 1665598
Total sieving time: 357.27 hours (16.63 calendar hours).
Total relation processing time: 0.11 hours.
Total matrix build processing time: 0.04 hours.
Matrix pruned processing time: (N/A)
Matrix solve time: 11.48 hours (1.64 calendar hours).
Total time of square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,10200000,10200000,28,28,54,54,2.5,2.5,100000
total time: 369.00 hours (18.52 calendar hours).
 --------- CPU info (if available) ----------
software ソフトウェア
Msieve v. 1.49 (SVN unknown) + GGNFS-0.77.1-VC8 with 
factMsieve.pl (decomposed + modified) snfs
(without procrels.exe, matbuild.exe for "finalFF" calculation)
execution environment 実行環境
[Envilonment]
  PC #1   (Master) --- Intel Core i7 2600, 16GB RAM, Windows 7 64bit
  PC #2,3 (Slave)  --- Intel Core i7 4770, 16GB RAM, Windows 7 64bit
  PC #4   (Slave)  --- Intel Core 2 Quad Q6600, 4GB RAM, Windows Vista 32bit

[Threads used]
  (Sieving)
    PC #1   --- 7 threads used
    PC #2,3 --- 7 threads used x 2
    PC #4   --- 4 threads used
  (Relation processing and Matrix build processing)
    PC #1   --- 1 thread used
  (Matrix solve)
    PC #1   --- 7 threads used
  (Square root processing)
    PC #1   --- 1 thread used

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 9, 2014 12:16:50 UTC 2014 年 12 月 9 日 (火) 21 時 16 分 50 秒 (日本時間)
4511e6591 / 4413CypJune 6, 2015 06:50:12 UTC 2015 年 6 月 6 日 (土) 15 時 50 分 12 秒 (日本時間)

10190+3599

c159

name 名前Cyp
date 日付December 9, 2014 17:43:52 UTC 2014 年 12 月 10 日 (水) 2 時 43 分 52 秒 (日本時間)
composite number 合成数
230299339573623363186503650900331200074451083028502589885000721708580834398167348610995682467028578633658242832039674182501123255419801590808274181495155003053<159>
prime factors 素因数
112104739381576257572726591049212657<36>
4501377720656587197842402587431127358755314163<46>
456376488123813691318520439712448596787820537076764121981563802414520147557583<78>
factorization results 素因数分解の結果
Run 103 out of 280:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1842753616
Step 1 took 13510ms
Step 2 took 4892ms
********** Factor found in step 2: 4501377720656587197842402587431127358755314163
Found probable prime factor of 46 digits: 4501377720656587197842402587431127358755314163
Composite cofactor 51161967260999165932358030936967010078169474878123177832868666162758424446528266852797765850144039630893719928031 has 113 digits
--
Run 217 out of 280:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=743657118
Step 1 took 7810ms
Step 2 took 3484ms
********** Factor found in step 2: 112104739381576257572726591049212657
Found probable prime factor of 36 digits: 112104739381576257572726591049212657
Probable prime cofactor 456376488123813691318520439712448596787820537076764121981563802414520147557583 has 78 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 295Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6217 / 2318CypDecember 9, 2014 17:43:52 UTC 2014 年 12 月 10 日 (水) 2 時 43 分 52 秒 (日本時間)

10191+3599

c165

name 名前Cyp
date 日付January 29, 2015 15:38:02 UTC 2015 年 1 月 30 日 (金) 0 時 38 分 2 秒 (日本時間)
composite number 合成数
726475116874154765468690604699637329542586649231080855724071846618343034069603774901851985913036472697567497194209622607173889926137333911369961685894887565585688873<165>
prime factors 素因数
108318293866175459655368361943370837<36>
composite cofactor 合成数の残り
6706855240645652942115935840628621973542958090104532373940379910703217016014882605156303717688718319682496875745718866238502845829<130>
factorization results 素因数分解の結果
Run 40 out of 591:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=481819052
Step 1 took 50085ms
Step 2 took 17385ms
********** Factor found in step 2: 108318293866175459655368361943370837
Found probable prime factor of 36 digits: 108318293866175459655368361943370837
Composite cofactor 6706855240645652942115935840628621973542958090104532373940379910703217016014882605156303717688718319682496875745718866238502845829 has 130 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c130

name 名前Erik Branger
date 日付February 21, 2015 17:18:35 UTC 2015 年 2 月 22 日 (日) 2 時 18 分 35 秒 (日本時間)
composite number 合成数
6706855240645652942115935840628621973542958090104532373940379910703217016014882605156303717688718319682496875745718866238502845829<130>
prime factors 素因数
64699552752191888508334933902142448845270355348670152887<56>
103661539459690289822257425129027635414501565862693375265465458783826575267<75>
factorization results 素因数分解の結果
Number: 11151_191
N = 6706855240645652942115935840628621973542958090104532373940379910703217016014882605156303717688718319682496875745718866238502845829 (130 digits)
Divisors found:
r1=64699552752191888508334933902142448845270355348670152887 (pp56)
r2=103661539459690289822257425129027635414501565862693375265465458783826575267 (pp75)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 50.70 hours.
Factorization parameters were as follows:
# Murphy_E = 7.484e-11, selected by Maksym Voznyy
# sieved all c5<2040
n: 6706855240645652942115935840628621973542958090104532373940379910703217016014882605156303717688718319682496875745718866238502845829
Y0: -21418267937007060011741537
Y1: 38733782351527
c0: -143394694391699183475707060319660
c1: 1280098227868299859416073002
c2: 11658143586766485549942
c3: 6034555150228651
c4: -10864169626
c5: 1488
skew: 974505.49
type: gnfs
# selected mechanically
rlim: 9700000
alim: 9700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9700000/9700000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 17867342
Relations: 2337470 relations
Pruned matrix : 1388418 x 1388647
Polynomial selection time: 0.00 hours.
Total sieving time: 49.28 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.26 hours.
time per square root: 0.06 hours.
Prototype def-par.txt line would be: gnfs,129,5,65,2000,1e-05,0.28,250,20,50000,3600,9700000,9700000,28,28,53,53,2.5,2.5,100000
total time: 50.70 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
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
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 8, 2014 19:36:36 UTC 2014 年 12 月 9 日 (火) 4 時 36 分 36 秒 (日本時間)
4511e6591 / 4413CypJanuary 29, 2015 15:38:02 UTC 2015 年 1 月 30 日 (金) 0 時 38 分 2 秒 (日本時間)

10192+3599

c182

name 名前Jo Yeong Uk
date 日付September 19, 2018 11:04:09 UTC 2018 年 9 月 19 日 (水) 20 時 4 分 9 秒 (日本時間)
composite number 合成数
69828774556653987247861788613745843472831890008141007932032126532948268505452257147574713017847221770648265761160468438706017980704570713852493525825341551761963949462388331025656781<182>
prime factors 素因数
2575364786370050088890748385039448046676429937859156040937228745531739<70>
27114129589026849877587450960434868009222718199257461756026435961516989562836974425204715423435794339668266354679<113>
factorization results 素因数分解の結果
Number: 11151_192
N=69828774556653987247861788613745843472831890008141007932032126532948268505452257147574713017847221770648265761160468438706017980704570713852493525825341551761963949462388331025656781
  ( 182 digits)
SNFS difficulty: 192 digits.
Divisors found:
 r1=2575364786370050088890748385039448046676429937859156040937228745531739
 r2=27114129589026849877587450960434868009222718199257461756026435961516989562836974425204715423435794339668266354679
Version: 
Total time: 168.69 hours.
Scaled time: 886.31 units (timescale=5.254).
Factorization parameters were as follows:
n: 69828774556653987247861788613745843472831890008141007932032126532948268505452257147574713017847221770648265761160468438706017980704570713852493525825341551761963949462388331025656781
m: 100000000000000000000000000000000000000
deg: 5
c5: 100
c0: 359
skew: 1.29
# Murphy_E = 2.279e-11
type: snfs
lss: 1
rlim: 11000000
alim: 11000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11000000/11000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5500000, 12600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 23567776
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2282203 x 2282451
Total sieving time: 155.39 hours.
Total relation processing time: 4.54 hours.
Matrix solve time: 8.24 hours.
Time per square root: 0.52 hours.
Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11000000,11000000,28,28,55,55,2.5,2.5,100000
total time: 168.69 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367604k/51380224k available (5540k kernel code, 1086464k absent, 926156k reserved, 6889k data, 1348k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.77 BogoMIPS (lpj=3399888)
Total of 12 processors activated (81597.31 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
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 9, 2014 12:12:21 UTC 2014 年 12 月 9 日 (火) 21 時 12 分 21 秒 (日本時間)
4511e6591 / 4413CypJune 17, 2015 06:32:21 UTC 2015 年 6 月 17 日 (水) 15 時 32 分 21 秒 (日本時間)

10193+3599

c102

name 名前Dmitry Domanov
date 日付December 7, 2014 11:27:07 UTC 2014 年 12 月 7 日 (日) 20 時 27 分 7 秒 (日本時間)
composite number 合成数
632475223082407885545917648941052072047972195218956851039601329448350014834570538717581970266914336951<102>
prime factors 素因数
471802848435547085254721583245921<33>
1340549819017911734254562316628719190654790652264720424465804340945431<70>
factorization results 素因数分解の結果
N=632475223082407885545917648941052072047972195218956851039601329448350014834570538717581970266914336951
  ( 102 digits)
Divisors found:
 r1=471802848435547085254721583245921 (pp33)
 r2=1340549819017911734254562316628719190654790652264720424465804340945431 (pp70)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 3.65 hours.
Scaled time: 5.80 units (timescale=1.591).
Factorization parameters were as follows:
n: 632475223082407885545917648941052072047972195218956851039601329448350014834570538717581970266914336951
skew: 1119732.11
c0: 406754192033928986181512240
c1: 4525341971545678893140
c2: -15215830264915268
c3: -9551129825
c4: 3588
Y0: -3643749494522577832067007
Y1: 9344755550051
rlim: 2080000
alim: 2080000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 2080000/2080000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1040000, 1440001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 276678 x 276910
Total sieving time: 3.41 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,101,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2080000,2080000,26,26,52,52,2.5,2.5,100000
total time: 3.65 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

10194+3599

c181

name 名前Jo Yeong Uk
date 日付December 3, 2018 01:39:18 UTC 2018 年 12 月 3 日 (月) 10 時 39 分 18 秒 (日本時間)
composite number 合成数
1180187287402004560460575866625157058076352658007598348996046916243345081564244718092997884089942153118651993690001171847657155480142931311918961292739984677243909360257713718016863<181>
prime factors 素因数
760220386084342089241698399197856407275778668753373850344259855190133834021113473917<84>
1552427834092664746741263762871455605869764589222006557615042628062554429927247223266557213827339<97>
factorization results 素因数分解の結果
Number: 11151_194
N=1180187287402004560460575866625157058076352658007598348996046916243345081564244718092997884089942153118651993690001171847657155480142931311918961292739984677243909360257713718016863
  ( 181 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=760220386084342089241698399197856407275778668753373850344259855190133834021113473917
 r2=1552427834092664746741263762871455605869764589222006557615042628062554429927247223266557213827339
Version: 
Total time: 167.97 hours.
Scaled time: 882.35 units (timescale=5.253).
Factorization parameters were as follows:
n: 1180187287402004560460575866625157058076352658007598348996046916243345081564244718092997884089942153118651993690001171847657155480142931311918961292739984677243909360257713718016863
m: 1000000000000000000000000000000000000000
deg: 5
c5: 1
c0: 3590
skew: 5.14
# Murphy_E = 2.119e-11
type: snfs
lss: 1
rlim: 12000000
alim: 12000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12000000/12000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6000000, 12900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 23456983
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2298754 x 2299002
Total sieving time: 154.71 hours.
Total relation processing time: 4.37 hours.
Matrix solve time: 8.45 hours.
Time per square root: 0.44 hours.
Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12000000,12000000,28,28,55,55,2.5,2.5,100000
total time: 167.97 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367604k/51380224k available (5540k kernel code, 1086464k absent, 926156k reserved, 6889k data, 1348k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.73 BogoMIPS (lpj=3399865)
Total of 12 processors activated (81596.76 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
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 7, 2014 06:00:19 UTC 2014 年 12 月 7 日 (日) 15 時 0 分 19 秒 (日本時間)
4511e6600 / 4413Dmitry DomanovNovember 12, 2015 16:27:12 UTC 2015 年 11 月 13 日 (金) 1 時 27 分 12 秒 (日本時間)

10196+3599

c194

name 名前Robert Backstrom
date 日付January 2, 2015 12:17:51 UTC 2015 年 1 月 2 日 (金) 21 時 17 分 51 秒 (日本時間)
composite number 合成数
27100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002711<194>
prime factors 素因数
893494925652298581046909689995816240769648817267436291034906102342890215952325895001904599<90>
30330637840976427565444061740074323012750214154933965283254677692152562798103724982496805592595824866689<104>
factorization results 素因数分解の結果
Number: n
N=27100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002711
  ( 194 digits)
SNFS difficulty: 196 digits.
Divisors found:

Fri Jan  2 23:09:22 2015  prp90 factor: 893494925652298581046909689995816240769648817267436291034906102342890215952325895001904599
Fri Jan  2 23:09:22 2015  prp104 factor: 30330637840976427565444061740074323012750214154933965283254677692152562798103724982496805592595824866689
Fri Jan  2 23:09:22 2015  elapsed time 02:00:14 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=3.763).
Factorization parameters were as follows:
#
#  N = 10^196+359 1(194)51
#
n: 27100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002711
m: 1000000000000000000000000000000000000000
deg: 5
c5: 10
c0: 359
skew: 2.05
# Murphy_E = 1.872e-11
type: snfs
lss: 1
rlim: 12900000
alim: 12900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12900000/12900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 17650000)
Primes: RFBsize:843192, AFBsize:841954,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 4801844 hash collisions in 32333751 relations (29143212 unique)
Msieve: matrix is 1664719 x 1664944 (471.3 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 1hrs 51min 14sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 43sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,12900000,12900000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.038918] smpboot: CPU0: Intel(R) Core(TM) i7-4790 CPU @ 3.60GHz (fam: 06, model: 3c, stepping: 03)
[    0.000000] Memory: 16059668K/16661464K available (7375K kernel code, 1160K rwdata, 3228K rodata, 1468K init, 1504K bss, 601796K reserved)
[    1.117641] [drm] Memory usable by graphics device = 2048M
[    0.000027] Calibrating delay loop (skipped), value calculated using timer frequency.. 7200.23 BogoMIPS (lpj=3600117)
[    0.136797] smpboot: Total of 8 processors activated (57601.87 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62600280CypDecember 8, 2014 02:23:14 UTC 2014 年 12 月 8 日 (月) 11 時 23 分 14 秒 (日本時間)
2320Serge BatalovDecember 9, 2014 19:26:02 UTC 2014 年 12 月 10 日 (水) 4 時 26 分 2 秒 (日本時間)

10198+3599

c179

name 名前Jo Yeong Uk
date 日付May 14, 2019 10:42:19 UTC 2019 年 5 月 14 日 (火) 19 時 42 分 19 秒 (日本時間)
composite number 合成数
13878768041365699750354938665461135899620142990622657245760860301379675966991969203954239813733186943475035992241862283851336148204294237539110921176231249181331167226212963496441<179>
prime factors 素因数
268202173796693672151130307242118555169677<42>
51747410712212481163341058102789298759646439043081775845914497350189425525981745321820304969123654173609706544488696204958400940528322333<137>
factorization results 素因数分解の結果
Number: 11151_198
N=13878768041365699750354938665461135899620142990622657245760860301379675966991969203954239813733186943475035992241862283851336148204294237539110921176231249181331167226212963496441
  ( 179 digits)
SNFS difficulty: 198 digits.
Divisors found:
 r1=268202173796693672151130307242118555169677
 r2=51747410712212481163341058102789298759646439043081775845914497350189425525981745321820304969123654173609706544488696204958400940528322333
Version: 
Total time: 198.26 hours.
Scaled time: 1042.27 units (timescale=5.257).
Factorization parameters were as follows:
n: 13878768041365699750354938665461135899620142990622657245760860301379675966991969203954239813733186943475035992241862283851336148204294237539110921176231249181331167226212963496441
m: 1000000000000000000000000000000000
deg: 6
c6: 1
c0: 359
skew: 2.67
# Murphy_E = 1.548e-11
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 29
lpba: 29
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 55/55
Sieved rational special-q in [8000000, 15500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 34249025
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2736267 x 2736513
Total sieving time: 177.23 hours.
Total relation processing time: 7.43 hours.
Matrix solve time: 12.92 hours.
Time per square root: 0.68 hours.
Prototype def-par.txt line would be:
snfs,198,6,0,0,0,0,0,0,0,0,16000000,16000000,29,29,55,55,2.5,2.5,100000
total time: 198.26 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367580k/51380224k available (5540k kernel code, 1086464k absent, 926180k reserved, 6889k data, 1348k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.33 BogoMIPS (lpj=3400167)
Total of 12 processors activated (81604.00 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
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 10, 2014 06:00:27 UTC 2014 年 12 月 10 日 (水) 15 時 0 分 27 秒 (日本時間)
4511e6591 / 4413CypMay 13, 2015 06:13:07 UTC 2015 年 5 月 13 日 (水) 15 時 13 分 7 秒 (日本時間)

10199+3599

c182

name 名前Jo Yeong Uk
date 日付July 13, 2019 14:41:28 UTC 2019 年 7 月 13 日 (土) 23 時 41 分 28 秒 (日本時間)
composite number 合成数
21171528824349084169174087826285656347815428392849103841323924008138017374076318319661145110747534938212552247181628595648292936891918368189614535832579304300676495369242365505480887<182>
prime factors 素因数
42585430560137203561765441902678858132028715834274392787981201880493<68>
497154274264096411474632286318872402343497028891899008717234003901844299333454992708416302804469078786946774252659<114>
factorization results 素因数分解の結果
Number: 11151_199
N=21171528824349084169174087826285656347815428392849103841323924008138017374076318319661145110747534938212552247181628595648292936891918368189614535832579304300676495369242365505480887
  ( 182 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=42585430560137203561765441902678858132028715834274392787981201880493
 r2=497154274264096411474632286318872402343497028891899008717234003901844299333454992708416302804469078786946774252659
Version: 
Total time: 247.13 hours.
Scaled time: 1295.21 units (timescale=5.241).
Factorization parameters were as follows:
n: 21171528824349084169174087826285656347815428392849103841323924008138017374076318319661145110747534938212552247181628595648292936891918368189614535832579304300676495369242365505480887
m: 10000000000000000000000000000000000000000
deg: 5
c5: 1
c0: 3590
skew: 5.14
# Murphy_E = 1.313e-11
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [8000000, 17100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 38845261
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3201427 x 3201674
Total sieving time: 218.46 hours.
Total relation processing time: 9.28 hours.
Matrix solve time: 19.19 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,200,5,0,0,0,0,0,0,0,0,16000000,16000000,29,29,56,56,2.5,2.5,100000
total time: 247.13 hours.
 --------- CPU info (if available) ----------
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
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 8, 2014 06:24:59 UTC 2014 年 12 月 8 日 (月) 15 時 24 分 59 秒 (日本時間)
4511e6591 / 4413CypMay 19, 2015 19:32:54 UTC 2015 年 5 月 20 日 (水) 4 時 32 分 54 秒 (日本時間)

10201+3599

c188

name 名前Bob Backstrom
date 日付May 25, 2021 11:49:37 UTC 2021 年 5 月 25 日 (火) 20 時 49 分 37 秒 (日本時間)
composite number 合成数
20369372613666416386800469272777956065578534938533588448265257892529442686433834538549194175333741536276413178197644685068049096633941571054324735395538068704230377255609260034889407876457<188>
prime factors 素因数
29926576814023654153877260510136341540343<41>
680644924417860159842019439430829011340321100734119849533967821699250051934813205524354511195345001888280887923675405870912456434924716547691677599<147>
factorization results 素因数分解の結果
#
# N = 10^201+359 = 1(199)51
#
n: 20369372613666416386800469272777956065578534938533588448265257892529442686433834538549194175333741536276413178197644685068049096633941571054324735395538068704230377255609260034889407876457
m: 10000000000000000000000000000000000000000
deg: 5
c5: 10
c0: 359
skew: 2.05
# Murphy_E = 1.158e-11
type: snfs
lss: 1
rlim: 15700000
alim: 15700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 20369372613666416386800469272777956065578534938533588448265257892529442686433834538549194175333741536276413178197644685068049096633941571054324735395538068704230377255609260034889407876457 (188 digits)
Using B1=41220000, B2=192394462276, polynomial Dickson(12), sigma=1:3027237193
Step 1 took 112572ms
Step 2 took 34337ms
********** Factor found in step 2: 29926576814023654153877260510136341540343
Found prime factor of 41 digits: 29926576814023654153877260510136341540343
Prime cofactor 680644924417860159842019439430829011340321100734119849533967821699250051934813205524354511195345001888280887923675405870912456434924716547691677599 has 147 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:46:27 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 27 秒 (日本時間)
4511e6585 / 4409CypJanuary 27, 2015 18:33:23 UTC 2015 年 1 月 28 日 (水) 3 時 33 分 23 秒 (日本時間)

10202+3599

c146

name 名前Dmitry Domanov
date 日付November 12, 2015 17:45:42 UTC 2015 年 11 月 13 日 (金) 2 時 45 分 42 秒 (日本時間)
composite number 合成数
40372514864111116447688103079938600103792277664084187389122868763233966484398397873665949881949022515373574781026355641333805726624399825500393809<146>
prime factors 素因数
2807856074967349524035289160710214966681<40>
14378413204309476041226967300904303710026842594856351848568251985459147920781383998282950801025063800583289<107>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3180281717
Step 1 took 48800ms
Step 2 took 17008ms
********** Factor found in step 2: 2807856074967349524035289160710214966681
Found probable prime factor of 40 digits: 2807856074967349524035289160710214966681

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 7, 2014 20:23:15 UTC 2014 年 12 月 8 日 (月) 5 時 23 分 15 秒 (日本時間)
4511e6600 / 4413Dmitry DomanovNovember 12, 2015 16:27:37 UTC 2015 年 11 月 13 日 (金) 1 時 27 分 37 秒 (日本時間)

10203+3599

c181

name 名前Cyp
date 日付December 8, 2014 02:25:59 UTC 2014 年 12 月 8 日 (月) 11 時 25 分 59 秒 (日本時間)
composite number 合成数
9812514848241512679648037980800395492210787904993725208109089870409121202845436548214572566976913896567931759082760307264258005062589693342738186334474623294883737116164996426302933<181>
prime factors 素因数
2896868768888566802762212286009951<34>
composite cofactor 合成数の残り
3387283177486238581512044425252468100456049379567411759705374513352455513600658676754330266907877576910415040357374557662453352238594283484358827083<148>
factorization results 素因数分解の結果
Run 133 out of 280:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1041831319
Step 1 took 16091ms
Step 2 took 5481ms
********** Factor found in step 2: 2896868768888566802762212286009951
Found probable prime factor of 34 digits: 2896868768888566802762212286009951
Composite cofactor 3387283177486238581512044425252468100456049379567411759705374513352455513600658676754330266907877576910415040357374557662453352238594283484358827083 has 148 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c148

name 名前Thomas Kozlowski
date 日付August 3, 2024 18:43:52 UTC 2024 年 8 月 4 日 (日) 3 時 43 分 52 秒 (日本時間)
composite number 合成数
3387283177486238581512044425252468100456049379567411759705374513352455513600658676754330266907877576910415040357374557662453352238594283484358827083<148>
prime factors 素因数
49012543872815954473028464285897099584283018261079803178445121663117<68>
69110535994132362070068833512929094457872016004723432530065496590132117506860599<80>
factorization results 素因数分解の結果
49012543872815954473028464285897099584283018261079803178445121663117
69110535994132362070068833512929094457872016004723432530065496590132117506860599
software ソフトウェア
cado-nfs
execution environment 実行環境
2x Xeon E5-2698v4, 256GB DDR4, Ubuntu Server 22.04

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 8, 2014 02:25:58 UTC 2014 年 12 月 8 日 (月) 11 時 25 分 58 秒 (日本時間)
4511e65080600Dmitry DomanovNovember 12, 2015 16:27:49 UTC 2015 年 11 月 13 日 (金) 1 時 27 分 49 秒 (日本時間)
4480Ignacio SantosDecember 12, 2021 08:38:11 UTC 2021 年 12 月 12 日 (日) 17 時 38 分 11 秒 (日本時間)

10204+3599

c187

name 名前Bob Backstrom
date 日付October 18, 2021 00:02:46 UTC 2021 年 10 月 18 日 (月) 9 時 2 分 46 秒 (日本時間)
composite number 合成数
1051477239778421273099545622286716090847631551605929869780659098616161721915373671792687784888302010018151837143768837747683298209791286594553831703055754266942796450715090095837577080787<187>
prime factors 素因数
37420585082704892958788205019427395140508693957817<50>
21879380836110559169261681012074311402072821887613207999<56>
1284263900530404140875041730379500156969575380136177232383914236684563498775557589<82>
factorization results 素因数分解の結果
Number: n
N=1051477239778421273099545622286716090847631551605929869780659098616161721915373671792687784888302010018151837143768837747683298209791286594553831703055754266942796450715090095837577080787  ( 187 digits)
SNFS difficulty: 204 digits.
Divisors found:

Mon Oct 18 10:47:45 2021  found factor: 1284263900530404140875041730379500156969575380136177232383914236684563498775557589
Mon Oct 18 10:50:24 2021  found factor: 1284263900530404140875041730379500156969575380136177232383914236684563498775557589
Mon Oct 18 10:53:03 2021  p50 factor: 37420585082704892958788205019427395140508693957817
Mon Oct 18 10:53:03 2021  p56 factor: 21879380836110559169261681012074311402072821887613207999
Mon Oct 18 10:53:03 2021  p82 factor: 1284263900530404140875041730379500156969575380136177232383914236684563498775557589
Mon Oct 18 10:53:03 2021  elapsed time 01:58:02 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 10^204+359 = 1(202)51
#
n: 1051477239778421273099545622286716090847631551605929869780659098616161721915373671792687784888302010018151837143768837747683298209791286594553831703055754266942796450715090095837577080787
m: 10000000000000000000000000000000000
deg: 6
c6: 1
c0: 359
skew: 2.67
# Murphy_E = 9.832e-12
type: snfs
lss: 1
rlim: 17600000
alim: 17600000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17600000/17600000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 43200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9382482 hash collisions in 66970252 relations (59479272 unique)
Msieve: matrix is 2185502 x 2185730 (745.5 MB)

Sieving start time : 2021/10/17 18:15:39
Sieving end time  : 2021/10/18 08:53:11

Total sieving time: 14hrs 37min 32secs.

Total relation processing time: 1hrs 33min 0sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 59sec.

Prototype def-par.txt line would be:
snfs,204,6,0,0,0,0,0,0,0,0,17600000,17600000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118347] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239960K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2728K init, 4972K bss, 487276K reserved, 0K cma-reserved)
[    0.154098] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.48 BogoMIPS (lpj=12798968)
[    0.150212] smpboot: Total of 16 processors activated (102391.74 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 6, 2014 19:35:37 UTC 2014 年 12 月 7 日 (日) 4 時 35 分 37 秒 (日本時間)
4511e6600 / 4413Dmitry DomanovNovember 12, 2015 16:28:03 UTC 2015 年 11 月 13 日 (金) 1 時 28 分 3 秒 (日本時間)

10205+3599

c190

name 名前Bob Backstrom
date 日付August 4, 2021 04:30:26 UTC 2021 年 8 月 4 日 (水) 13 時 30 分 26 秒 (日本時間)
composite number 合成数
2022742342387094617850616541545948119247217844383920003565873481309610108600197304689464055999950303007588298360089995707331564146631003913913061816808038854745289930877741420331363723972927<190>
prime factors 素因数
255210655227198320044978480032275381800744714774330929478451635691622401846067368770423<87>
7925775436712749134928258709607211888946546139318383625633597896746045300451905687171748283100171811449<103>
factorization results 素因数分解の結果
Number: n
N=2022742342387094617850616541545948119247217844383920003565873481309610108600197304689464055999950303007588298360089995707331564146631003913913061816808038854745289930877741420331363723972927
  ( 190 digits)
SNFS difficulty: 205 digits.
Divisors found:

Wed Aug  4 14:18:10 2021  p87 factor: 255210655227198320044978480032275381800744714774330929478451635691622401846067368770423
Wed Aug  4 14:18:10 2021  p103 factor: 7925775436712749134928258709607211888946546139318383625633597896746045300451905687171748283100171811449
Wed Aug  4 14:18:10 2021  elapsed time 02:03:05 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 10^205+359 = 1(203)51
#
n: 2022742342387094617850616541545948119247217844383920003565873481309610108600197304689464055999950303007588298360089995707331564146631003913913061816808038854745289930877741420331363723972927
m: 100000000000000000000000000000000000000000
deg: 5
c5: 1
c0: 359
skew: 3.24
# Murphy_E = 8.847e-12
type: snfs
lss: 1
rlim: 18300000
alim: 18300000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18300000/18300000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 36350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10328450 hash collisions in 66019623 relations (58101304 unique)
Msieve: matrix is 2302571 x 2302800 (791.8 MB)

Sieving start time : 2021/08/03 23:27:03
Sieving end time  : 2021/08/04 12:13:40

Total sieving time: 12hrs 46min 37secs.

Total relation processing time: 1hrs 42min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 29sec.

Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,18300000,18300000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119240] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239968K/16727236K available (14339K kernel code, 2400K rwdata, 5012K rodata, 2736K init, 4964K bss, 487268K reserved, 0K cma-reserved)
[    0.152638] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.25 BogoMIPS (lpj=12798512)
[    0.150211] smpboot: Total of 16 processors activated (102388.09 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:46:27 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 27 秒 (日本時間)
4511e6585 / 4409CypMay 21, 2015 08:25:15 UTC 2015 年 5 月 21 日 (木) 17 時 25 分 15 秒 (日本時間)

10207+3599

c192

name 名前Bob Backstrom
date 日付July 18, 2021 12:39:53 UTC 2021 年 7 月 18 日 (日) 21 時 39 分 53 秒 (日本時間)
composite number 合成数
382661698557514150557274934806034702928197980283727426828899602662045907344911001266116691049426985324890890540581358477879796344551019579573193383798670958485074883848424704354636391908663809<192>
prime factors 素因数
357808476131151014545336160013106187767995224333<48>
284827293176662025210817661591652424403281827923598045540189658779<66>
3754765060483653718823499793758844475514558677065524633955078167337077512192287<79>
factorization results 素因数分解の結果
Number: n
N=382661698557514150557274934806034702928197980283727426828899602662045907344911001266116691049426985324890890540581358477879796344551019579573193383798670958485074883848424704354636391908663809
  ( 192 digits)
SNFS difficulty: 207 digits.
Divisors found:

Sun Jul 18 22:26:18 2021  found factor: 357808476131151014545336160013106187767995224333
Sun Jul 18 22:30:32 2021  p48 factor: 357808476131151014545336160013106187767995224333
Sun Jul 18 22:30:32 2021  p66 factor: 284827293176662025210817661591652424403281827923598045540189658779
Sun Jul 18 22:30:32 2021  p79 factor: 3754765060483653718823499793758844475514558677065524633955078167337077512192287
Sun Jul 18 22:30:32 2021  elapsed time 03:25:14 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 10^207+359 = 1(205)51
#
n: 382661698557514150557274934806034702928197980283727426828899602662045907344911001266116691049426985324890890540581358477879796344551019579573193383798670958485074883848424704354636391908663809
m: 100000000000000000000000000000000000000000
deg: 5
c5: 100
c0: 359
skew: 1.29
# Murphy_E = 5.386e-12
type: snfs
lss: 1
rlim: 19700000
alim: 19700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19700000/19700000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 51450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8728713 hash collisions in 54583886 relations (47523617 unique)
Msieve: matrix is 2901551 x 2901776 (1011.3 MB)

Sieving start time : 2021/07/18 01:23:05
Sieving end time  : 2021/07/18 19:03:59

Total sieving time: 17hrs 40min 54secs.

Total relation processing time: 3hrs 2min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 30sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,19700000,19700000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118191] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239972K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2736K init, 4964K bss, 487264K reserved, 0K cma-reserved)
[    0.153502] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.23 BogoMIPS (lpj=12798472)
[    0.152038] smpboot: Total of 16 processors activated (102387.77 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 9, 2014 16:42:39 UTC 2014 年 12 月 10 日 (水) 1 時 42 分 39 秒 (日本時間)
4511e6591 / 4413CypJuly 7, 2015 06:21:19 UTC 2015 年 7 月 7 日 (火) 15 時 21 分 19 秒 (日本時間)

10210+3599

c195

name 名前Cyp
date 日付May 27, 2015 17:16:29 UTC 2015 年 5 月 28 日 (木) 2 時 16 分 29 秒 (日本時間)
composite number 合成数
104395779007475483988705459218630913800106101961973594730359324129655155914659731996753906606752123497299750406978822259644558993069959468759433136851034889458603500407265533625123789114975686367<195>
prime factors 素因数
16240183395185407812701671954926586322477<41>
6428238922377245621651660005649479623300732672516740312945793638486201627109290009818346236803406476085681423471061494382396971789134797363320172024976571<154>
factorization results 素因数分解の結果
Run 442 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4112108540
Step 1 took 69921ms
Step 2 took 21246ms
********** Factor found in step 2: 16240183395185407812701671954926586322477
Found probable prime factor of 41 digits: 16240183395185407812701671954926586322477
Probable prime cofactor 6428238922377245621651660005649479623300732672516740312945793638486201627109290009818346236803406476085681423471061494382396971789134797363320172024976571 has 154 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 793Serge BatalovDecember 10, 2014 19:46:28 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 28 秒 (日本時間)
4511e6442 / 4409CypMay 27, 2015 17:16:29 UTC 2015 年 5 月 28 日 (木) 2 時 16 分 29 秒 (日本時間)

10211+3599

c175

name 名前Serge Batalov
date 日付June 20, 2015 16:54:54 UTC 2015 年 6 月 21 日 (日) 1 時 54 分 54 秒 (日本時間)
composite number 合成数
5459259206122511876812549566295851752612268002823294643123889961631997192587688775905454271730590672474592165190809667559499033000207207686626448630426889775455187829615609969<175>
prime factors 素因数
683245469530479236818715552493964256983<39>
7990187201495928936960605877803129368340774595245167460145967549831352309082865709907348937187048647295615557374647969283910744964925943<136>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=678842780
Step 1 took 15841ms
Step 2 took 11785ms
********** Factor found in step 2: 683245469530479236818715552493964256983
Found probable prime factor of 39 digits: 683245469530479236818715552493964256983
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:46:28 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 28 秒 (日本時間)

10213+3599

c163

composite cofactor 合成数の残り
7322892936380227124395324880724819304266052149809100284003579784670412664215343406528294424036277310269591454325812157699174320842156770751641547558168139700922293<163>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62318300Serge BatalovDecember 10, 2014 19:46:28 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 28 秒 (日本時間)
2018Serge BatalovJune 18, 2015 03:25:49 UTC 2015 年 6 月 18 日 (木) 12 時 25 分 49 秒 (日本時間)
4511e64000Thomas KozlowskiOctober 18, 2024 06:03:35 UTC 2024 年 10 月 18 日 (金) 15 時 3 分 35 秒 (日本時間)

10214+3599

c207

name 名前Bob Backstrom
date 日付November 19, 2019 08:40:21 UTC 2019 年 11 月 19 日 (火) 17 時 40 分 21 秒 (日本時間)
composite number 合成数
366455767707793154628246564486339133631870189054164104682780679557774371937872701548198662854207441741869803176240708376588856014141967822764987188889588819405210773814228839827057796634125760949982342328833<207>
prime factors 素因数
7799095432545101055032288544983947205756571530474130395763576348131330937329935515635137739677<94>
46986957766742777097080851860203295197478842818470293269133427735251755467155164410378555467787835660502204136629<113>
factorization results 素因数分解の結果
Number: n
N=366455767707793154628246564486339133631870189054164104682780679557774371937872701548198662854207441741869803176240708376588856014141967822764987188889588819405210773814228839827057796634125760949982342328833
  ( 207 digits)
SNFS difficulty: 214 digits.
Divisors found:

Mon Nov 18 01:08:01 2019  p94 factor: 7799095432545101055032288544983947205756571530474130395763576348131330937329935515635137739677
Mon Nov 18 01:08:01 2019  p113 factor: 46986957766742777097080851860203295197478842818470293269133427735251755467155164410378555467787835660502204136629
Mon Nov 18 01:08:01 2019  elapsed time 06:39:44 (Msieve 1.54 - dependency 5)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.129).
Factorization parameters were as follows:
#
# N = 10^214+359 = 1(212)51
#
n: 366455767707793154628246564486339133631870189054164104682780679557774371937872701548198662854207441741869803176240708376588856014141967822764987188889588819405210773814228839827057796634125760949982342328833
m: 5000000000000000000000000000000000000000000
deg: 5
c5: 16
c0: 1795
skew: 2.57
# Murphy_E = 3.045e-12
type: snfs
lss: 1
rlim: 27000000
alim: 27000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 27000000/27000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 75100000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9493644 hash collisions in 58559630 relations (50861571 unique)
Msieve: matrix is 3836348 x 3836574 (1343.9 MB)

Sieving start time: 2019/11/16 06:38:16
Sieving end time  : 2019/11/17 18:27:21

Total sieving time: 35hrs 49min 5secs.

Total relation processing time: 5hrs 54min 0sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 27min 42sec.

Prototype def-par.txt line would be:
snfs,214,5,0,0,0,0,0,0,0,0,27000000,27000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149912] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284044K/16703460K available (12300K kernel code, 2481K rwdata, 4256K rodata, 2436K init, 2388K bss, 419416K reserved, 0K cma-reserved)
[    0.184564] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.54 BogoMIPS (lpj=11977096)
[    0.182216] smpboot: Total of 16 processors activated (95816.76 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:46:29 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 29 秒 (日本時間)
4511e6585 / 4409CypMay 28, 2015 17:21:20 UTC 2015 年 5 月 29 日 (金) 2 時 21 分 20 秒 (日本時間)

10215+3599

c207

name 名前Serge Batalov
date 日付June 18, 2015 05:36:17 UTC 2015 年 6 月 18 日 (木) 14 時 36 分 17 秒 (日本時間)
composite number 合成数
197584744240053498519553823061387550840061276640595577007410271595859911222921946859626505281344384935673589480891706826704460992680494883949084553227965775611434931760522413589567315273957303861245133337091<207>
prime factors 素因数
97121016104785765030517161482595673437<38>
composite cofactor 合成数の残り
2034418009248126595263656838685810235133698097232228693036065638997862957591824797994333938636539222809736092745782220074405440960609542561677433547266290149508979678943<169>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=797355457
Step 1 took 52872ms
Step 2 took 23785ms
********** Factor found in step 2: 97121016104785765030517161482595673437
Found probable prime factor of 38 digits: 97121016104785765030517161482595673437
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62318280CypDecember 9, 2014 06:58:21 UTC 2014 年 12 月 9 日 (火) 15 時 58 分 21 秒 (日本時間)
2038Serge BatalovJune 18, 2015 03:26:41 UTC 2015 年 6 月 18 日 (木) 12 時 26 分 41 秒 (日本時間)
4511e64001200Serge BatalovJune 18, 2015 05:35:56 UTC 2015 年 6 月 18 日 (木) 14 時 35 分 56 秒 (日本時間)
3801Thomas KozlowskiOctober 18, 2024 07:01:21 UTC 2024 年 10 月 18 日 (金) 16 時 1 分 21 秒 (日本時間)

10216+3599

c183

composite cofactor 合成数の残り
250807763260821959774070908743224038478730959401985650680613412824565707907263638351540017946827078547109136652206492050851652755695997980969463341333228936624716239875874831812188047<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 7, 2014 08:55:46 UTC 2014 年 12 月 7 日 (日) 17 時 55 分 46 秒 (日本時間)
4511e64591591CypJune 30, 2015 05:05:14 UTC 2015 年 6 月 30 日 (火) 14 時 5 分 14 秒 (日本時間)
4000Thomas KozlowskiOctober 18, 2024 08:10:33 UTC 2024 年 10 月 18 日 (金) 17 時 10 分 33 秒 (日本時間)

10217+3599

c181

name 名前Thomas Kozlowski
date 日付October 18, 2024 08:33:15 UTC 2024 年 10 月 18 日 (金) 17 時 33 分 15 秒 (日本時間)
composite number 合成数
9549060556866776510753308059524356038374023081768804077023055853814386179793012032359960333840723108614531180124934410193850746222952112913613488959999276464968681140767411018393109<181>
prime factors 素因数
90385516183123145977863080995623773907125454923<47>
composite cofactor 合成数の残り
105648127710198158273398240921459078097940005663570822871230604469865352310390574161093851126869880348444984746651802435028834997751583<135>
factorization results 素因数分解の結果
GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 9549060556866776510753308059524356038374023081768804077023055853814386179793012032359960333840723108614531180124934410193850746222952112913613488959999276464968681140767411018393109 (181 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3598899389
Step 1 took 28610ms
Step 2 took 12026ms
Run 2 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:308807356
Step 1 took 27888ms
Step 2 took 12189ms
Run 3 out of 0:
...
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3548546421
Step 1 took 28570ms
Step 2 took 11926ms
Run 22 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1284781029
Step 1 took 31054ms
Step 2 took 12048ms
** Factor found in step 2: 90385516183123145977863080995623773907125454923
Found prime factor of 47 digits: 90385516183123145977863080995623773907125454923
Composite cofactor 105648127710198158273398240921459078097940005663570822871230604469865352310390574161093851126869880348444984746651802435028834997751583 has 135 digits
execution environment 実行環境
2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04

c135

name 名前Bob Backstrom
date 日付October 28, 2024 01:06:19 UTC 2024 年 10 月 28 日 (月) 10 時 6 分 19 秒 (日本時間)
composite number 合成数
105648127710198158273398240921459078097940005663570822871230604469865352310390574161093851126869880348444984746651802435028834997751583<135>
prime factors 素因数
126061813782900266474757716618187470255405853717988472072591653<63>
838066060925809593513710408352505437738692846324856229964972058738957811<72>
factorization results 素因数分解の結果
CADO-NFS

STA:Sun Oct 27 14:24:12 AEDT 2024 (105648127710198158273398240921459078097940005663570822871230604469865352310390574161093851126869880348444984746651802435028834997751583 - C135)

./cado-nfs.py -t 16 --no-colors 105648127710198158273398240921459078097940005663570822871230604469865352310390574161093851126869880348444984746651802435028834997751583 2>&1 | tee -a log-13

Info:root: Using default parameter file ./parameters/factor/params.c135
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.w25oa0go
Info:Database: Opened connection to database /tmp/cado.w25oa0go/c135.db
Info:root: Set tasks.threads=16 based on --server-threads 16
Info:root: tasks.threads = 16 [via tasks.threads]
Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads]
Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads]
Info:root: tasks.linalg.bwc.threads = 16 [via tasks.threads]
Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads]
Info:root: slaves.scriptpath is /home/bob/Math/cado-nfs/build/TrigKey-2
Info:root: Command line parameters: ./cado-nfs.py -t 16 --no-colors 105648127710198158273398240921459078097940005663570822871230604469865352310390574161093851126869880348444984746651802435028834997751583
Info:root: If this computation gets interrupted, it can be resumed with ./cado-nfs.py /tmp/cado.w25oa0go/c135.parameters_snapshot.0
Info:Server Launcher: Adding TrigKey-2 to whitelist to allow clients on localhost to connect
Info:HTTP server: Using non-threaded HTTPS server
Info:HTTP server: Using whitelist: localhost,TrigKey-2
Info:Lattice Sieving: param rels_wanted is 55000000
Info:Complete Factorization / Discrete logarithm: Factoring 105648127710198158273398240921459078097940005663570822871230604469865352310390574161093851126869880348444984746651802435028834997751583
Info:HTTP server: serving at https://TrigKey-2:41517 (0.0.0.0)
===
Info:Polynomial Selection (root optimized): Finished, best polynomial has Murphy_E = 1.923e-06
Info:Polynomial Selection (root optimized): Best polynomial is:
n: 105648127710198158273398240921459078097940005663570822871230604469865352310390574161093851126869880348444984746651802435028834997751583
skew: 170309.825
c0: -1668820864823865010003154013124
c1: 44721494832017927625250628
c2: 249073711869147279137
c3: -3997227909032387
c4: -7131078172
c5: 16800
Y0: -104850066550895341973015799
Y1: 1829956385126406823
# MurphyE (Bf=1.074e+09,Bg=5.369e+08,area=5.033e+13) = 1.923e-06
# f(x) = 16800*x^5-7131078172*x^4-3997227909032387*x^3+249073711869147279137*x^2+44721494832017927625250628*x-1668820864823865010003154013124
# g(x) = 1829956385126406823*x-104850066550895341973015799
===
Info:Square Root: Starting
Info:Square Root: Creating file of (a,b) values
Info:Square Root: finished
Info:Square Root: Factors: 126061813782900266474757716618187470255405853717988472072591653 838066060925809593513710408352505437738692846324856229964972058738957811
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 1504.9/118.469
Info:HTTP server: Got notification to stop serving Workunits
Info:Square Root: Total cpu/real time for sqrt: 1504.9/118.469
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 55068294
Info:Lattice Sieving: Average J: 3821.22 for 362228 special-q, max bucket fill -bkmult 1.0,1s:1.193260
Info:Lattice Sieving: Total time: 84844.6s
Info:Generate Free Relations: Total cpu/real time for freerel: 356.83/24.2329
Info:Linear Algebra: Total cpu/real time for bwc: 27052.3/2011.74
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 16277.78, WCT time 1195.13, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (48000 iterations)
Info:Linear Algebra: Lingen CPU time 73.61, WCT time 28.75
Info:Linear Algebra: Mksol: CPU time 8819.51,  WCT time 640.7, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (24000 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 1.03/0.457323
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 204.7/126.24
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 126.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 678.89/325.69
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 293.1s
Info:Quadratic Characters: Total cpu/real time for characters: 33.35/6.85882
Info:Filtering - Singleton removal: Total cpu/real time for purge: 145.12/57.2758
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 512.11
Info:Polynomial Selection (root optimized): Rootsieve time: 516.55
Info:Filtering - Merging: Total cpu/real time for merge: 129.28/12.0496
Info:Filtering - Merging: Total cpu/real time for replay: 24.57/22.713
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 63638.2
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 60497/39.400/49.714/59.850/2.181
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 50997/38.990/43.287/53.520/1.195
Info:Polynomial Selection (size optimized): Total time: 8181.9
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 197656/14167.3 [03:56:07]
Info:root: Cleaning up computation data in /tmp/cado.w25oa0go
126061813782900266474757716618187470255405853717988472072591653 838066060925809593513710408352505437738692846324856229964972058738957811

END:Sun Oct 27 18:20:21 AEDT 2024 (105648127710198158273398240921459078097940005663570822871230604469865352310390574161093851126869880348444984746651802435028834997751583 - C135)
software ソフトウェア
CADO-NFS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:46:29 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 29 秒 (日本時間)
4511e6585 / 4409CypJune 24, 2015 19:17:03 UTC 2015 年 6 月 25 日 (木) 4 時 17 分 3 秒 (日本時間)

10218+3599

c179

name 名前Youcef Lemsafer
date 日付December 10, 2014 10:37:41 UTC 2014 年 12 月 10 日 (水) 19 時 37 分 41 秒 (日本時間)
composite number 合成数
90699554583090335810732864755853133118926574266838163885552028939344914068003092162736178347108882973159969676808282242347235332929356749511445312878546253977406891562291056922813<179>
prime factors 素因数
21039665078818042391585523839172136218161<41>
4310883953870696210673816192766628819806659009061219801106768024686080931626101525665385223968318039777829307366520882711195176435948563533<139>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is (10^218+359)/(9*3*38735153772149113*1054206760999183186193) (179 digits)
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1239129569
dF=4096, k=6, d=39270, d2=13, i0=13
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
910     8615    97096   1281819 1.9e+007        3.1e+008        6.2e+009        1.7e+011        2.3e+016        3.1e+021
Step 1 took 5991ms
********** Factor found in step 1: 21039665078818042391585523839172136218161
Found probable prime factor of 41 digits: 21039665078818042391585523839172136218161
Probable prime cofactor ((10^218+359)/(9*3*38735153772149113*1054206760999183186193))/21039665078818042391585523839172136218161 has 139 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

10221+3599

c202

name 名前Erik Branger
date 日付August 24, 2019 08:18:16 UTC 2019 年 8 月 24 日 (土) 17 時 18 分 16 秒 (日本時間)
composite number 合成数
1593845604135745158193610792237820128773255325674675216665365741538456301837026959819415929704404013932459912792813152012489256636096727987752929452616542269211591761592310730633039426553691206843803163<202>
prime factors 素因数
200014679414608857192236392520452310732579872535361338741263596896405639888396743799<84>
7968643145595704654384030932959322113660146285236001328627128103172870093246533087164696186961636517975924790493837437<118>
factorization results 素因数分解の結果
Number: 11151_221
N = 1593845604135745158193610792237820128773255325674675216665365741538456301837026959819415929704404013932459912792813152012489256636096727987752929452616542269211591761592310730633039426553691206843803163 (202 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=200014679414608857192236392520452310732579872535361338741263596896405639888396743799 (pp84)
r2=7968643145595704654384030932959322113660146285236001328627128103172870093246533087164696186961636517975924790493837437 (pp118)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 89.36 hours.
Factorization parameters were as follows:
n: 1593845604135745158193610792237820128773255325674675216665365741538456301837026959819415929704404013932459912792813152012489256636096727987752929452616542269211591761592310730633039426553691206843803163
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 10
c0: 359
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 22369622
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/22369622
Large primes per side: 3
Large prime bits: 29/28
Relations: 8041082 relations
Pruned matrix : 7025003 x 7025228
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 42.17 hours.
Total relation processing time: 0.45 hours.
Matrix solve time: 46.53 hours.
time per square root: 0.21 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,22369622,29,28,58,56,2.8,2.8,100000
total time: 89.36 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6580280CypDecember 10, 2014 16:43:16 UTC 2014 年 12 月 11 日 (木) 1 時 43 分 16 秒 (日本時間)
300Serge BatalovDecember 10, 2014 19:46:30 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 30 秒 (日本時間)
4511e6504 / 4347CypMay 30, 2015 18:20:30 UTC 2015 年 5 月 31 日 (日) 3 時 20 分 30 秒 (日本時間)

10222+3599

c205

name 名前Erik Branger
date 日付August 29, 2019 15:32:18 UTC 2019 年 8 月 30 日 (金) 0 時 32 分 18 秒 (日本時間)
composite number 合成数
5105921160644310621495116742035853888951048022808919398462101198235654809043747416856940243289088789740134196562374735693076463644131925765780943435777438109105421301737458615266612362809560291009486675073<205>
prime factors 素因数
1314233692972131190350280449223463882777827<43>
39541865898174713389052561065907720893709987931196313539501980942287168367149<77>
98252667214105704761250365968511734703108630691715557959412199576475358122426387396951<86>
factorization results 素因数分解の結果
Number: 11151_222
N = 5105921160644310621495116742035853888951048022808919398462101198235654809043747416856940243289088789740134196562374735693076463644131925765780943435777438109105421301737458615266612362809560291009486675073 (205 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=1314233692972131190350280449223463882777827 (pp43)
r2=39541865898174713389052561065907720893709987931196313539501980942287168367149 (pp77)
r3=98252667214105704761250365968511734703108630691715557959412199576475358122426387396951 (pp86)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 115.44 hours.
Factorization parameters were as follows:
n: 5105921160644310621495116742035853888951048022808919398462101198235654809043747416856940243289088789740134196562374735693076463644131925765780943435777438109105421301737458615266612362809560291009486675073
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 100
c0: 359
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 22369622
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/22369622
Large primes per side: 3
Large prime bits: 29/28
Relations: 9312706 relations
Pruned matrix : 7974147 x 7974372
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 48.91 hours.
Total relation processing time: 0.44 hours.
Matrix solve time: 64.65 hours.
time per square root: 1.43 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,22369622,29,28,58,56,2.8,2.8,100000
total time: 115.44 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 8, 2014 13:07:24 UTC 2014 年 12 月 8 日 (月) 22 時 7 分 24 秒 (日本時間)
4511e6591 / 4413222CypJanuary 8, 2015 17:40:11 UTC 2015 年 1 月 9 日 (金) 2 時 40 分 11 秒 (日本時間)
369CypMay 18, 2015 17:00:35 UTC 2015 年 5 月 19 日 (火) 2 時 0 分 35 秒 (日本時間)

10223+3599

c200

composite cofactor 合成数の残り
46603524774157240844968234771175659815377116692056853748102515444273022964154810677011410910658914196983965222090862394876492360645285898577806230401414427068429234941904160035472995825440833017178357<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 9, 2014 17:01:34 UTC 2014 年 12 月 10 日 (水) 2 時 1 分 34 秒 (日本時間)
4511e64600600Dmitry DomanovNovember 12, 2015 17:14:50 UTC 2015 年 11 月 13 日 (金) 2 時 14 分 50 秒 (日本時間)
4000Thomas KozlowskiOctober 18, 2024 09:44:13 UTC 2024 年 10 月 18 日 (金) 18 時 44 分 13 秒 (日本時間)

10224+3599

c190

name 名前Cyp
date 日付May 19, 2015 15:40:18 UTC 2015 年 5 月 20 日 (水) 0 時 40 分 18 秒 (日本時間)
composite number 合成数
4479725790040278433150935995821700440890925369340595105841685126209752795930352253005196097575043481724137555106740822686441900570753656115389611070957407894946030297858066552296573451157637<190>
prime factors 素因数
64030653355044167219960514722841564929<38>
composite cofactor 合成数の残り
69962206463841702540895844875972413578234004549367740436861531798697901175231091730992552357201207223603456586619094169194004471073378183619204981771653<152>
factorization results 素因数分解の結果
Run 510 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4273270464
Step 1 took 58595ms
Step 2 took 19627ms
********** Factor found in step 2: 64030653355044167219960514722841564929
Found probable prime factor of 38 digits: 64030653355044167219960514722841564929
Composite cofactor 69962206463841702540895844875972413578234004549367740436861531798697901175231091730992552357201207223603456586619094169194004471073378183619204981771653 has 152 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c152

name 名前Lionel Debroux
date 日付January 5, 2018 08:14:55 UTC 2018 年 1 月 5 日 (金) 17 時 14 分 55 秒 (日本時間)
composite number 合成数
69962206463841702540895844875972413578234004549367740436861531798697901175231091730992552357201207223603456586619094169194004471073378183619204981771653<152>
prime factors 素因数
175330280494999211790683695788171205988376528058303<51>
399030939015905879166599520877531778585914833008468945734058169447917295351695054447166884733009259451<102>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 69962206463841702540895844875972413578234004549367740436861531798697901175231091730992552357201207223603456586619094169194004471073378183619204981771653 (152 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:656895890
Step 1 took 15052ms
Step 2 took 7572ms
********** Factor found in step 2: 175330280494999211790683695788171205988376528058303
Found prime factor of 51 digits: 175330280494999211790683695788171205988376528058303
Prime cofactor 399030939015905879166599520877531778585914833008468945734058169447917295351695054447166884733009259451 has 102 digits
execution environment 実行環境
Core i7-6700HQ @ 2.6 GHz (+ turbo), Debian sid amd64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:46:30 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 30 秒 (日本時間)
4511e61385 / 4409585CypMay 19, 2015 15:40:18 UTC 2015 年 5 月 20 日 (水) 0 時 40 分 18 秒 (日本時間)
800Dmitry DomanovMarch 1, 2016 13:15:12 UTC 2016 年 3 月 1 日 (火) 22 時 15 分 12 秒 (日本時間)

10226+3599

c162

composite cofactor 合成数の残り
422993891900711465731922775154068970696641111841419905306151779752191333598598433842005672643593317513105577227220779262947001480188449591748534886687007117487841<162>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:46:31 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 31 秒 (日本時間)
4511e64588585CypMay 23, 2015 06:31:24 UTC 2015 年 5 月 23 日 (土) 15 時 31 分 24 秒 (日本時間)
4003Thomas KozlowskiOctober 18, 2024 10:44:14 UTC 2024 年 10 月 18 日 (金) 19 時 44 分 14 秒 (日本時間)

10227+3599

c212

name 名前Bob Backstrom
date 日付May 8, 2020 09:35:46 UTC 2020 年 5 月 8 日 (金) 18 時 35 分 46 秒 (日本時間)
composite number 合成数
10641868766635847490879814083100158716317429693740776454171374673683745842998706794836598803169669912735392194289561161318210946759489171370513467137184532085691486414129001159994203084298644046190581538185810959<212>
prime factors 素因数
76628233159410407483808068704598092449589651<44>
138876603672923940571769316738118880963724866614296629399704367463532209842252245779622867019055651053843382161270744174254471111791981441987174127198211639545261689109<168>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 6.1.2] [ECM]
Input number is 10641868766635847490879814083100158716317429693740776454171374673683745842998706794836598803169669912735392194289561161318210946759489171370513467137184532085691486414129001159994203084298644046190581538185810959 (212 digits)
Using B1=700030000, B2=12714085484116, polynomial Dickson(30), sigma=2012944633
Step 1 took 3804027ms
Step 2 took 708266ms
********** Factor found in step 2: 76628233159410407483808068704598092449589651
Found probable prime factor of 44 digits: 76628233159410407483808068704598092449589651
Probable prime cofactor 138876603672923940571769316738118880963724866614296629399704367463532209842252245779622867019055651053843382161270744174254471111791981441987174127198211639545261689109 has 168 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:46:31 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 31 秒 (日本時間)
4511e6585 / 4409CypFebruary 1, 2015 05:39:29 UTC 2015 年 2 月 1 日 (日) 14 時 39 分 29 秒 (日本時間)

10230+3599

c180

composite cofactor 合成数の残り
406352061349652791287739750450168764665897793482366834846577408326765334328475942368519944053451584601484202541110167435725711028317966337487936382713166754340165265751807928389859<180>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:46:32 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 32 秒 (日本時間)
4511e64586585CypJanuary 26, 2015 08:52:25 UTC 2015 年 1 月 26 日 (月) 17 時 52 分 25 秒 (日本時間)
4001Thomas KozlowskiOctober 18, 2024 11:53:24 UTC 2024 年 10 月 18 日 (金) 20 時 53 分 24 秒 (日本時間)

10231+3599

c174

composite cofactor 合成数の残り
214168395267162864227097813334962523437909796551624183165575382598238089366614212716824971164355470094959785020649970600860082637818240677447558580262570209431512822183713711<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:46:32 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 32 秒 (日本時間)
4511e64605600Dmitry DomanovNovember 12, 2015 17:17:08 UTC 2015 年 11 月 13 日 (金) 2 時 17 分 8 秒 (日本時間)
4005Thomas KozlowskiOctober 18, 2024 12:55:38 UTC 2024 年 10 月 18 日 (金) 21 時 55 分 38 秒 (日本時間)

10233+3599

c174

name 名前Cyp
date 日付June 5, 2015 15:28:41 UTC 2015 年 6 月 6 日 (土) 0 時 28 分 41 秒 (日本時間)
composite number 合成数
224730174705327640834321230465610681807413318557962660919700529721466050695384123056900998607676142162688467768447854658440131034203456264237300657324439179616467358405404181<174>
prime factors 素因数
169555449353538949930712961371705958571<39>
1325408151505318090493946668313682865633847970576465547083543790244388927010469145294288449069149924467424042052028609752378229173326911<136>
factorization results 素因数分解の結果
Run 9 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4077953874
Step 1 took 52043ms
Step 2 took 16964ms
********** Factor found in step 2: 169555449353538949930712961371705958571
Found probable prime factor of 39 digits: 169555449353538949930712961371705958571
Probable prime cofactor 1325408151505318090493946668313682865633847970576465547083543790244388927010469145294288449069149924467424042052028609752378229173326911 has 136 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2287Serge BatalovDecember 10, 2014 19:46:33 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 33 秒 (日本時間)
4511e69 / 4409CypJune 5, 2015 15:28:41 UTC 2015 年 6 月 6 日 (土) 0 時 28 分 41 秒 (日本時間)

10234+3599

c206

composite cofactor 合成数の残り
11186316608740593993263876754409738458437297787899477862632849411245445820551133432928031698328884398550454005455044956690979028755904649072791168608018165611828642518022854576493050688518613078929127709381<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:46:33 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 33 秒 (日本時間)
4511e64586585CypJune 10, 2015 08:35:32 UTC 2015 年 6 月 10 日 (水) 17 時 35 分 32 秒 (日本時間)
4001Thomas KozlowskiOctober 18, 2024 14:14:38 UTC 2024 年 10 月 18 日 (金) 23 時 14 分 38 秒 (日本時間)

10236+3599

c196

name 名前Thomas Kozlowski
date 日付October 18, 2024 17:03:38 UTC 2024 年 10 月 19 日 (土) 2 時 3 分 38 秒 (日本時間)
composite number 合成数
1812515958676459755543853835825225148740107039732979171873786064266163427900841788719795590812318137095594512332673413066697219959776642443338603034045483381205228228861953247909022509519625919463<196>
prime factors 素因数
20762472751320924966087899901358545278527343<44>
composite cofactor 合成数の残り
87297692350307650818540955509828827573953165430400234187813041407552425513101487462458133038884273458407203999058030038639434258217575857503296695768841<152>
factorization results 素因数分解の結果
GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 1812515958676459755543853835825225148740107039732979171873786064266163427900841788719795590812318137095594512332673413066697219959776642443338603034045483381205228228861953247909022509519625919463 (196 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3906833924
Step 1 took 33221ms
Step 2 took 13522ms
Run 2 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1849968353
Step 1 took 32815ms
Step 2 took 12925ms
Run 3 out of 0:
...
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2810539532
Step 1 took 32527ms
Step 2 took 12911ms
Run 12 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:140740595
Step 1 took 32552ms
Step 2 took 12926ms
** Factor found in step 2: 20762472751320924966087899901358545278527343
Found prime factor of 44 digits: 20762472751320924966087899901358545278527343
Composite cofactor 87297692350307650818540955509828827573953165430400234187813041407552425513101487462458133038884273458407203999058030038639434258217575857503296695768841 has 152 digits
execution environment 実行環境
2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e61280280CypDecember 7, 2014 20:28:01 UTC 2014 年 12 月 8 日 (月) 5 時 28 分 1 秒 (日本時間)
1000Dmitry DomanovNovember 23, 2016 13:56:52 UTC 2016 年 11 月 23 日 (水) 22 時 56 分 52 秒 (日本時間)
4511e64192400Dmitry DomanovJanuary 11, 2017 06:43:14 UTC 2017 年 1 月 11 日 (水) 15 時 43 分 14 秒 (日本時間)
2332Bob BackstromOctober 28, 2024 20:29:33 UTC 2024 年 10 月 29 日 (火) 5 時 29 分 33 秒 (日本時間)
720Richard GuoDecember 18, 2024 18:59:42 UTC 2024 年 12 月 19 日 (木) 3 時 59 分 42 秒 (日本時間)
740Richard GuoDecember 18, 2024 19:31:14 UTC 2024 年 12 月 19 日 (木) 4 時 31 分 14 秒 (日本時間)

10237+3599

c159

composite cofactor 合成数の残り
762666418888492508179766374797640064141330306019334578048854710148294174845687813430134046260141307733874624646319520887672144207502147709884091653756896607547<159>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62600280CypDecember 7, 2014 02:43:38 UTC 2014 年 12 月 7 日 (日) 11 時 43 分 38 秒 (日本時間)
2320Serge BatalovDecember 9, 2014 19:26:00 UTC 2014 年 12 月 10 日 (水) 4 時 26 分 0 秒 (日本時間)
4511e60--
5043e61200Erik BrangerOctober 21, 2015 20:17:59 UTC 2015 年 10 月 22 日 (木) 5 時 17 分 59 秒 (日本時間)
5511e710000 / 17321yoyo@HomeMarch 23, 2021 14:45:07 UTC 2021 年 3 月 23 日 (火) 23 時 45 分 7 秒 (日本時間)

10238+3599

c170

composite cofactor 合成数の残り
48372150393413931108617804260050452977626068269433597044117538339513197361843834175316221579625709949551324143885789005990899272297324906130962171860089582453024190231871<170>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6580280CypDecember 10, 2014 16:24:56 UTC 2014 年 12 月 11 日 (木) 1 時 24 分 56 秒 (日本時間)
300Serge BatalovDecember 10, 2014 19:46:33 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 33 秒 (日本時間)
4511e64505504CypFebruary 4, 2015 10:49:52 UTC 2015 年 2 月 4 日 (水) 19 時 49 分 52 秒 (日本時間)
4001Thomas KozlowskiOctober 18, 2024 15:24:14 UTC 2024 年 10 月 19 日 (土) 0 時 24 分 14 秒 (日本時間)

10241+3599

c185

composite cofactor 合成数の残り
10665668277610182873060865349922026361978081617812756051114568115326435224492861698218640886147264955442021995490613707926485646544783129061648357817769121419556748488069888932647541853<185>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:46:34 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 34 秒 (日本時間)
4511e64585585CypFebruary 7, 2015 14:11:24 UTC 2015 年 2 月 7 日 (土) 23 時 11 分 24 秒 (日本時間)
4000Thomas KozlowskiOctober 18, 2024 16:33:23 UTC 2024 年 10 月 19 日 (土) 1 時 33 分 23 秒 (日本時間)

10242+3599

c223

composite cofactor 合成数の残り
5809536441488801884939304413409916804591109493384874015265102494694774457385734913463698241459115373804861244201558861978323180073693702074520347279040652605672495994151439181213659557766369873985866119220676644393634206381<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:46:34 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 34 秒 (日本時間)
4511e64585585CypJuly 3, 2015 06:56:08 UTC 2015 年 7 月 3 日 (金) 15 時 56 分 8 秒 (日本時間)
4000Thomas KozlowskiOctober 18, 2024 18:03:06 UTC 2024 年 10 月 19 日 (土) 3 時 3 分 6 秒 (日本時間)

10243+3599

c187

name 名前Dmitry Domanov
date 日付January 11, 2017 08:54:11 UTC 2017 年 1 月 11 日 (水) 17 時 54 分 11 秒 (日本時間)
composite number 合成数
1890633803018630822834180030896399875650796270619252143897726905945609223491085321137033747746540212516507740640892056849996408835012882502549525615024409142516185097170077746730700173381<187>
prime factors 素因数
7952581016329141372509330106585459801<37>
composite cofactor 合成数の残り
237738389478405444895011174462569436284685799143009873018816255434489999826738272149930405529649049917019989154133299727468899066614097317472973829581<150>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2187173672
Step 1 took 97950ms
Step 2 took 28846ms
********** Factor found in step 2: 7952581016329141372509330106585459801
Found probable prime factor of 37 digits: 7952581016329141372509330106585459801

c150

name 名前Lionel Debroux
date 日付December 29, 2017 14:59:31 UTC 2017 年 12 月 29 日 (金) 23 時 59 分 31 秒 (日本時間)
composite number 合成数
237738389478405444895011174462569436284685799143009873018816255434489999826738272149930405529649049917019989154133299727468899066614097317472973829581<150>
prime factors 素因数
67702445338508972571888875006943118487549706179<47>
3511518502614269313432878097905033632397064429108160740495844439852573196046169624468475842723383323439<103>
factorization results 素因数分解の結果
67702445338508972571888875006943118487549706179
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Core i7-6700HQ @ 2.6 GHz (+ turbo), Debian sid amd64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:46:35 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 35 秒 (日本時間)
4511e6659 / 4409329CypJanuary 7, 2015 16:03:26 UTC 2015 年 1 月 8 日 (木) 1 時 3 分 26 秒 (日本時間)
330Dmitry DomanovJanuary 11, 2017 06:45:04 UTC 2017 年 1 月 11 日 (水) 15 時 45 分 4 秒 (日本時間)

10244+3599

c230

name 名前Serge Batalov
date 日付December 11, 2014 01:32:34 UTC 2014 年 12 月 11 日 (木) 10 時 32 分 34 秒 (日本時間)
composite number 合成数
20074338684731437977343527891868709133496085919417460936171414594605850972940866934739584476753602427725844201588834516894128236073793084289013835373493438480730312722147406611234194986554268821759168753818787218253996796464033727<230>
prime factors 素因数
4930137613530901959646686209<28>
composite cofactor 合成数の残り
4071760315500494011592350721115439788487092059863473451322518257894949388951927764254028730150267258298435126724864498802712348734542865804371365572235416727687337262602854736959921953410337584786643903<202>
factorization results 素因数分解の結果
Input number is 20074338684731437977343527891868709133496085919417460936171414594605850972940866934739584476753602427725844201588834516894128236073793084289013835373493438480730312722147406611234194986554268821759168753818787218253996796464033727 (230 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2636622322
Step 1 took 23003ms
********** Factor found in step 1: 4930137613530901959646686209
Found probable prime factor of 28 digits: 4930137613530901959646686209
Composite cofactor 4071760315500494011592350721115439788487092059863473451322518257894949388951927764254028730150267258298435126724864498802712348734542865804371365572235416727687337262602854736959921953410337584786643903 has 202 digits

c202

name 名前Cyp
date 日付May 29, 2015 17:12:23 UTC 2015 年 5 月 30 日 (土) 2 時 12 分 23 秒 (日本時間)
composite number 合成数
4071760315500494011592350721115439788487092059863473451322518257894949388951927764254028730150267258298435126724864498802712348734542865804371365572235416727687337262602854736959921953410337584786643903<202>
prime factors 素因数
5315750728008264492101992618083239671<37>
765980295886847230938612195867520623670534731427584163506540229359311407047082288580031423706523114274708488072976031339466124875041236146430235815702061101698889593<165>
factorization results 素因数分解の結果
Run 123 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=112806685
Step 1 took 68785ms
********** Factor found in step 1: 5315750728008264492101992618083239671
Found probable prime factor of 37 digits: 5315750728008264492101992618083239671
Probable prime cofactor 765980295886847230938612195867520623670534731427584163506540229359311407047082288580031423706523114274708488072976031339466124875041236146430235815702061101698889593 has 165 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 1894Serge BatalovDecember 10, 2014 19:46:35 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 35 秒 (日本時間)
4511e6123 / 4409CypMay 29, 2015 17:12:23 UTC 2015 年 5 月 30 日 (土) 2 時 12 分 23 秒 (日本時間)

10245+3599

c237

name 名前Serge Batalov
date 日付December 10, 2014 20:49:00 UTC 2014 年 12 月 11 日 (木) 5 時 49 分 0 秒 (日本時間)
composite number 合成数
190023789439245099028513067705120832716777395524022703897944121030605651479659476381201167698466389634404471401143204779978494589696823865803725313399062524095610325238276197749921088345900091089613681807091425208995622059017250281695541<237>
prime factors 素因数
310698413164611419826725395292094319<36>
12766050843293052552222947099821835231<38>
47908477509201856887418862620110513198985529315280113576384345176682703389304363793084900070843800675569820963012577809554916647984373350110855440106299881083440069<164>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1892268553
Step 1 took 20918ms
Step 2 took 12509ms
********** Factor found in step 2: 12766050843293052552222947099821835231
Found probable prime factor of 38 digits: 12766050843293052552222947099821835231
--
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3816793224
Step 1 took 20944ms
********** Factor found in step 1: 310698413164611419826725395292094319
Found probable prime factor of 36 digits: 310698413164611419826725395292094319

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:46:35 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 35 秒 (日本時間)

10246+3599

c161

name 名前yoyo@Home
date 日付December 18, 2024 14:15:31 UTC 2024 年 12 月 18 日 (水) 23 時 15 分 31 秒 (日本時間)
composite number 合成数
80472880674820152894286270274018005446831548926606699591941558255226458677126169967606094679868685762126221975146475879345875392276928143963710675792687547796113<161>
prime factors 素因数
24701899324102215028302911932023506914569919<44>
composite cofactor 合成数の残り
3257760855510446528457244367036673916727305736018983508740949241862153657078769212765636597580716498292257123435735727<118>
factorization results 素因数分解の結果
GMP-ECM 7.0.5-dev [configured with GMP 6.0.0, --enable-asm-redc, --enable-assert] [ECM]
Tuned for x86_64/core2/params.h
Running on a14p7
Input number is 80472880674820152894286270274018005446831548926606699591941558255226458677126169967606094679868685762126221975146475879345875392276928143963710675792687547796113 (161 digits)
[Wed Dec 18 09:05:26 2024]
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=0:10883464733069532587
dF=65536, k=5, d=690690, d2=17, i0=46
Expected number of curves to find a factor of n digits:
35       40      45      50      55      60      65      70      75      80
55      246     1286    7557    49831   361851  2844041 2.4e+07 2.2e+08 2.2e+09
Writing checkpoint to checkpnt at p = 43000000
Step 1 took 73511ms
Using 20 small primes for NTT
Estimated memory usage: 230.68MB
Initializing tables of differences for F took 26ms
Computing roots of F took 1199ms
Building F from its roots took 1115ms
Computing 1/F took 480ms
Initializing table of differences for G took 35ms
Computing roots of G took 918ms
Building G from its roots took 1200ms
Computing roots of G took 918ms
Building G from its roots took 1288ms
Computing G * H took 260ms
Reducing  G * H mod F took 265ms
Computing roots of G took 919ms
Building G from its roots took 1220ms
Computing G * H took 258ms
Reducing  G * H mod F took 260ms
Computing roots of G took 920ms
Building G from its roots took 1190ms
Computing G * H took 239ms
Reducing  G * H mod F took 264ms
Computing roots of G took 919ms
Building G from its roots took 1187ms
Computing G * H took 250ms
Reducing  G * H mod F took 260ms
Computing polyeval(F,G) took 2249ms
Computing product of all F(g_i) took 15ms
Step 2 took 17981ms
********** Factor found in step 2: 24701899324102215028302911932023506914569919
Found prime factor of 44 digits: 24701899324102215028302911932023506914569919
Composite cofactor 3257760855510446528457244367036673916727305736018983508740949241862153657078769212765636597580716498292257123435735727 has 118 digits
Peak memory usage: 321MB
software ソフトウェア
GMP-ECM 7.0.5-dev [configured with GMP 6.0.0, --enable-asm-redc, --enable-assert]

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 9, 2014 00:57:30 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 30 秒 (日本時間)
4511e639682600Serge BatalovJune 22, 2015 18:19:18 UTC 2015 年 6 月 23 日 (火) 3 時 19 分 18 秒 (日本時間)
1368Ignacio SantosJanuary 16, 2016 11:20:13 UTC 2016 年 1 月 16 日 (土) 20 時 20 分 13 秒 (日本時間)
5043e61460 / 6574yoyo@HomeDecember 18, 2024 14:14:17 UTC 2024 年 12 月 18 日 (水) 23 時 14 分 17 秒 (日本時間)

10249+3599

c194

composite cofactor 合成数の残り
46198437196891131535712279922171983772488880450062823684885269150034658415299782652368014632026720180836298577262601904854926148922050724558537009640797229472292943877024803913902048460118013437<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:46:36 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 36 秒 (日本時間)
4511e64586585CypMay 27, 2015 10:40:37 UTC 2015 年 5 月 27 日 (水) 19 時 40 分 37 秒 (日本時間)
4001Thomas KozlowskiOctober 18, 2024 19:22:09 UTC 2024 年 10 月 19 日 (土) 4 時 22 分 9 秒 (日本時間)

10250+3599

c236

composite cofactor 合成数の残り
36720467310547846493684737046644218258603070974234318233880037570781385217420149932904255379912854056541967445004192413240348039598409171596686046841630724311029554392373874197896846328925041052070413614450568963799104925240460626982137<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e61280280CypDecember 9, 2014 19:11:12 UTC 2014 年 12 月 10 日 (水) 4 時 11 分 12 秒 (日本時間)
1000Dmitry DomanovDecember 16, 2014 11:49:38 UTC 2014 年 12 月 16 日 (火) 20 時 49 分 38 秒 (日本時間)
4511e64200600Dmitry DomanovApril 23, 2015 12:47:04 UTC 2015 年 4 月 23 日 (木) 21 時 47 分 4 秒 (日本時間)
800Dmitry DomanovOctober 25, 2015 21:33:59 UTC 2015 年 10 月 26 日 (月) 6 時 33 分 59 秒 (日本時間)
2800Thomas KozlowskiOctober 18, 2024 20:33:51 UTC 2024 年 10 月 19 日 (土) 5 時 33 分 51 秒 (日本時間)

10251+3599

c219

name 名前ebina
date 日付November 24, 2022 21:39:18 UTC 2022 年 11 月 25 日 (金) 6 時 39 分 18 秒 (日本時間)
composite number 合成数
484001717220017557165395080450179587283535740676834976876771513214046402512864969388005380072836892863719877983193962801434087970334229366273138552505360080803329233794916701392518187792351193850639891427636254557768369<219>
prime factors 素因数
268733905727335059654670600373858384629<39>
composite cofactor 合成数の残り
1801044478961650795864807865463071060439567023231373129000010085193150142444946825507558684382960174967945869502294994756884188253382346473568766948845770088469972803848961093514061<181>
factorization results 素因数分解の結果
C:\MYDATA\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:654672341 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 484001717220017557165395080450179587283535740676834976876771513214046402512864969388005380072836892863719877983193962801434087970334229366273138552505360080803329233794916701392518187792351193850639891427636254557768369 (219 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:654672341
Step 1 took 15547ms
Step 2 took 8266ms
********** Factor found in step 2: 268733905727335059654670600373858384629
Found probable prime factor of 39 digits: 268733905727335059654670600373858384629
Composite cofactor 1801044478961650795864807865463071060439567023231373129000010085193150142444946825507558684382960174967945869502294994756884188253382346473568766948845770088469972803848961093514061 has 181 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62875300Dmitry DomanovNovember 12, 2015 11:05:41 UTC 2015 年 11 月 12 日 (木) 20 時 5 分 41 秒 (日本時間)
225ebinaNovember 26, 2022 00:28:47 UTC 2022 年 11 月 26 日 (土) 9 時 28 分 47 秒 (日本時間)
2350Ignacio SantosJuly 25, 2023 15:31:02 UTC 2023 年 7 月 26 日 (水) 0 時 31 分 2 秒 (日本時間)
4511e64002Thomas KozlowskiOctober 18, 2024 21:42:44 UTC 2024 年 10 月 19 日 (土) 6 時 42 分 44 秒 (日本時間)

10252+3599

c218

name 名前Ignacio Santos
date 日付July 25, 2023 15:31:25 UTC 2023 年 7 月 26 日 (水) 0 時 31 分 25 秒 (日本時間)
composite number 合成数
18794240640831324270706869861724111207497687133771501368344260281161238968178854359254908153224552339542057337983989563859606459869660134087472628968234225368629187704117380864462104560489306981770235611969876071989383<218>
prime factors 素因数
5152857041842823961274766191443353<34>
composite cofactor 合成数の残り
3647343694617600319697812249883167048564211738472604543718590502006136322912819068615662519644146477373284687536122983976268936042434647106099680429267504201152561982831098911911412511<184>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2548380229
Step 1 took 7500ms
********** Factor found in step 2: 5152857041842823961274766191443353
Found prime factor of 34 digits: 5152857041842823961274766191443353
Composite cofactor 3647343694617600319697812249883167048564211738472604543718590502006136322912819068615662519644146477373284687536122983976268936042434647106099680429267504201152561982831098911911412511 has 184 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62650300Dmitry DomanovNovember 12, 2015 11:05:55 UTC 2015 年 11 月 12 日 (木) 20 時 5 分 55 秒 (日本時間)
2350Ignacio SantosJuly 26, 2023 07:06:05 UTC 2023 年 7 月 26 日 (水) 16 時 6 分 5 秒 (日本時間)
4511e64002Thomas KozlowskiOctober 18, 2024 22:51:56 UTC 2024 年 10 月 19 日 (土) 7 時 51 分 56 秒 (日本時間)

10254+3599

c232

name 名前Ignacio Santos
date 日付July 25, 2023 15:32:25 UTC 2023 年 7 月 26 日 (水) 0 時 32 分 25 秒 (日本時間)
composite number 合成数
2356975179092634359259584226793360936603718332914364352583676614187058107382810281064276727463198282601980221989599038176674384255978844709733677769903331865911155518779526793686060921485864171668285109291323077415606288907997339227<232>
prime factors 素因数
2783968895467521118080930459697007<34>
composite cofactor 合成数の残り
846624106659359680209333468790520023020660012659162196916120494208497369404821020580605617081955826744810448775866747406771820512741146108363379090342305394355499027221916567687000774556947189717461<198>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:141811235
Step 1 took 8796ms
Step 2 took 3860ms
********** Factor found in step 2: 2783968895467521118080930459697007
Found prime factor of 34 digits: 2783968895467521118080930459697007
Composite cofactor 846624106659359680209333468790520023020660012659162196916120494208497369404821020580605617081955826744810448775866747406771820512741146108363379090342305394355499027221916567687000774556947189717461 has 198 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62650300Dmitry DomanovNovember 12, 2015 11:06:09 UTC 2015 年 11 月 12 日 (木) 20 時 6 分 9 秒 (日本時間)
2350Ignacio SantosJuly 26, 2023 11:53:43 UTC 2023 年 7 月 26 日 (水) 20 時 53 分 43 秒 (日本時間)
4511e64002Thomas KozlowskiOctober 19, 2024 00:10:39 UTC 2024 年 10 月 19 日 (土) 9 時 10 分 39 秒 (日本時間)

10256+3599

c248

composite cofactor 合成数の残り
76299459722762708520033342558701008412572420490564782105872260497464694847521137754348350081789587347114099211592341722512339472899069006963371002300299001559766965274521221462485611924757104675694220362468671155714859671521517359420362770817016217<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62650300Dmitry DomanovNovember 12, 2015 11:06:52 UTC 2015 年 11 月 12 日 (木) 20 時 6 分 52 秒 (日本時間)
2350Ignacio SantosJuly 25, 2023 15:56:34 UTC 2023 年 7 月 26 日 (水) 0 時 56 分 34 秒 (日本時間)
4511e64001Thomas KozlowskiOctober 19, 2024 01:53:18 UTC 2024 年 10 月 19 日 (土) 10 時 53 分 18 秒 (日本時間)

10257+3599

c228

composite cofactor 合成数の残り
772042633457916868386692434395655213065243607710647648252959252885403921844303719933059177914046786962779776165485055683202582589513224214289990486569629410069774329602422062652219957771813600245137869308108262274919161344698053<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62650300Dmitry DomanovNovember 12, 2015 11:06:22 UTC 2015 年 11 月 12 日 (木) 20 時 6 分 22 秒 (日本時間)
2350Ignacio SantosJuly 25, 2023 16:10:45 UTC 2023 年 7 月 26 日 (水) 1 時 10 分 45 秒 (日本時間)
4511e64001Thomas KozlowskiOctober 19, 2024 03:23:31 UTC 2024 年 10 月 19 日 (土) 12 時 23 分 31 秒 (日本時間)

10259+3599

c259

name 名前Dmitry Domanov
date 日付February 6, 2017 06:30:10 UTC 2017 年 2 月 6 日 (月) 15 時 30 分 10 秒 (日本時間)
composite number 合成数
1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111151<259>
prime factors 素因数
6815988680254839149487797588388513462963846007<46>
163015398533433069844158934440713745405959362524061346469341016492871109932713584187498248902931912198023936347137934242924557081821544259393110293258678829906773795346662153567821781131905612184854106972998347593<213>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=477669723
Step 1 took 507181ms
Step 2 took 115681ms
********** Factor found in step 2: 6815988680254839149487797588388513462963846007
Found probable prime factor of 46 digits: 6815988680254839149487797588388513462963846007

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovOctober 29, 2015 07:32:59 UTC 2015 年 10 月 29 日 (木) 16 時 32 分 59 秒 (日本時間)
4511e6800Dmitry DomanovFebruary 5, 2016 14:31:35 UTC 2016 年 2 月 5 日 (金) 23 時 31 分 35 秒 (日本時間)
5043e65600 / 6869600Dmitry DomanovFebruary 9, 2016 15:37:56 UTC 2016 年 2 月 10 日 (水) 0 時 37 分 56 秒 (日本時間)
1800Dmitry DomanovJanuary 2, 2017 10:12:45 UTC 2017 年 1 月 2 日 (月) 19 時 12 分 45 秒 (日本時間)
3200Dmitry DomanovFebruary 4, 2017 16:09:49 UTC 2017 年 2 月 5 日 (日) 1 時 9 分 49 秒 (日本時間)
5511e7200 / 15716Dmitry DomanovFebruary 13, 2016 20:57:17 UTC 2016 年 2 月 14 日 (日) 5 時 57 分 17 秒 (日本時間)

10260+3599

c209

composite cofactor 合成数の残り
26231191784915654139749436717314449595207137415239579297627296043823769248020654990239907110794592073827631263310571038498999871801689811012002575175253708667898892537652001994767489077172080577202854948865723<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62650300Dmitry DomanovNovember 12, 2015 11:07:14 UTC 2015 年 11 月 12 日 (木) 20 時 7 分 14 秒 (日本時間)
2350Ignacio SantosJuly 25, 2023 16:11:07 UTC 2023 年 7 月 26 日 (水) 1 時 11 分 7 秒 (日本時間)
4511e64003Thomas KozlowskiOctober 19, 2024 04:42:34 UTC 2024 年 10 月 19 日 (土) 13 時 42 分 34 秒 (日本時間)

10261+3599

c217

name 名前Dmitry Domanov
date 日付November 12, 2015 12:39:22 UTC 2015 年 11 月 12 日 (木) 21 時 39 分 22 秒 (日本時間)
composite number 合成数
1195665759162179197428306399207686144110605662447543093051674142990819225107098816004655680897969588067271255489483610309218334742775492944726263261669651261251400949166235306285923617078194816285580133154840673695381<217>
prime factors 素因数
2086589482145402864026381460021955457<37>
composite cofactor 合成数の残り
573023955786843112775344100248974009934981338052289116626036828042223139385195767809301787871542482551736288090524570708418278888484505259629908730604280624609267868107739735622933<180>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1591250179
Step 1 took 33735ms
Step 2 took 9485ms
********** Factor found in step 2: 2086589482145402864026381460021955457
Found probable prime factor of 37 digits: 2086589482145402864026381460021955457

c180

name 名前Dmitry Domanov
date 日付November 19, 2015 16:28:39 UTC 2015 年 11 月 20 日 (金) 1 時 28 分 39 秒 (日本時間)
composite number 合成数
573023955786843112775344100248974009934981338052289116626036828042223139385195767809301787871542482551736288090524570708418278888484505259629908730604280624609267868107739735622933<180>
prime factors 素因数
13636398615527500843959363444447283722119<41>
composite cofactor 合成数の残り
42021648966344524644935605013965725861574667950426236995163255299824682021512309251917875388050170732173938247257185733058469860046432619907<140>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=648779705
Step 1 took 112032ms
Step 2 took 35444ms
********** Factor found in step 2: 13636398615527500843959363444447283722119
Found probable prime factor of 41 digits: 13636398615527500843959363444447283722119

c140

name 名前Erik Branger
date 日付August 25, 2016 19:58:21 UTC 2016 年 8 月 26 日 (金) 4 時 58 分 21 秒 (日本時間)
composite number 合成数
42021648966344524644935605013965725861574667950426236995163255299824682021512309251917875388050170732173938247257185733058469860046432619907<140>
prime factors 素因数
1518759118725741916311058537199901508419825474439721577105408631<64>
27668409327215245886361583369940872116815593709927040123115965472731217011797<77>
factorization results 素因数分解の結果
Number: 11151_261
N = 42021648966344524644935605013965725861574667950426236995163255299824682021512309251917875388050170732173938247257185733058469860046432619907 (140 digits)
Divisors found:
r1=1518759118725741916311058537199901508419825474439721577105408631 (pp64)
r2=27668409327215245886361583369940872116815593709927040123115965472731217011797 (pp77)
Version: Msieve v. 1.51 (SVN 845)
Total time: 328.39 hours.
Factorization parameters were as follows:
# Murphy_E = 2.096e-11, selected by Erik Branger
# expecting poly E from 2.17e-011 to > 2.49e-011
n: 42021648966344524644935605013965725861574667950426236995163255299824682021512309251917875388050170732173938247257185733058469860046432619907
Y0: -1448055841466988693327712986
Y1: 625767158773349
c0: -460383275331879212619890164406171255
c1: 275994492165265238018906521569
c2: 205446740937151431398185
c3: -137016304104516453
c4: 91624245394
c5: 6600
skew: 2768079.42
type: gnfs
# selected mechanically
rlim: 17800000
alim: 17800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 17800000/17800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23101024
Relations: 3263568 relations
Pruned matrix : 2046409 x 2046636
Polynomial selection time: 0.00 hours.
Total sieving time: 323.49 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 3.91 hours.
time per square root: 0.79 hours.
Prototype def-par.txt line would be: gnfs,139,5,65,2000,1e-05,0.28,250,20,50000,3600,17800000,17800000,28,28,55,55,2.6,2.6,100000
total time: 328.39 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovNovember 12, 2015 11:07:28 UTC 2015 年 11 月 12 日 (木) 20 時 7 分 28 秒 (日本時間)
4511e63224600Dmitry DomanovNovember 19, 2015 10:57:52 UTC 2015 年 11 月 19 日 (木) 19 時 57 分 52 秒 (日本時間)
2624Ignacio SantosDecember 14, 2015 23:49:12 UTC 2015 年 12 月 15 日 (火) 8 時 49 分 12 秒 (日本時間)
5043e6500 / 6818Erik BrangerNovember 25, 2015 07:41:07 UTC 2015 年 11 月 25 日 (水) 16 時 41 分 7 秒 (日本時間)

10263+3599

c231

composite cofactor 合成数の残り
321629235908086854113762074633197991011320882508780052502147074833472486210108650352093934319447548840055584690360362319393452278534017095732180949815761956420599060155217763018291638852254372430640275851803729274185162626033380137<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62650300Dmitry DomanovNovember 12, 2015 11:07:43 UTC 2015 年 11 月 12 日 (木) 20 時 7 分 43 秒 (日本時間)
2350Ignacio SantosJuly 25, 2023 16:36:08 UTC 2023 年 7 月 26 日 (水) 1 時 36 分 8 秒 (日本時間)
4511e64002Thomas KozlowskiOctober 19, 2024 06:13:30 UTC 2024 年 10 月 19 日 (土) 15 時 13 分 30 秒 (日本時間)

10264+3599

c227

composite cofactor 合成数の残り
15259223863747019430352963012813355666189076059943007588022482886315624277190739852509687063361537190634054406562601948289997692051214394839814651732080524802530534923142584145953318628287135927946387803364112163291269398805143<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62650300Dmitry DomanovNovember 12, 2015 11:07:59 UTC 2015 年 11 月 12 日 (木) 20 時 7 分 59 秒 (日本時間)
2350Ignacio SantosJuly 25, 2023 16:36:30 UTC 2023 年 7 月 26 日 (水) 1 時 36 分 30 秒 (日本時間)
4511e64004Thomas KozlowskiOctober 19, 2024 07:43:50 UTC 2024 年 10 月 19 日 (土) 16 時 43 分 50 秒 (日本時間)

10265+3599

c165

name 名前KTakahashi
date 日付October 28, 2015 09:01:34 UTC 2015 年 10 月 28 日 (水) 18 時 1 分 34 秒 (日本時間)
composite number 合成数
229316447187158428350571245034586522833526998261828837807825197775500744415934033454451437388869010020551722426920377652637315292881377413505189464634229505437860571<165>
prime factors 素因数
38090459653074395864334100393153<32>
composite cofactor 合成数の残り
6020311891107609838742090433075396076812955141602070227438482922963974491021219440326973179904530671242124983233586538390459316644507<133>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]
Input number is 229316447187158428350571245034586522833526998261828837807825197775500744415934033454451437388869010020551722426920377652637315292881377413505189464634229505437860571 (165 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=965926176
Step 1 took 14118ms
Step 2 took 6957ms
********** Factor found in step 2: 38090459653074395864334100393153
Found probable prime factor of 32 digits: 38090459653074395864334100393153
Composite cofactor 6020311891107609838742090433075396076812955141602070227438482922963974491021219440326973179904530671242124983233586538390459316644507 has 133 digits

c133

name 名前Dmitry Domanov
date 日付October 29, 2015 11:18:17 UTC 2015 年 10 月 29 日 (木) 20 時 18 分 17 秒 (日本時間)
composite number 合成数
6020311891107609838742090433075396076812955141602070227438482922963974491021219440326973179904530671242124983233586538390459316644507<133>
prime factors 素因数
1148243156113045677167931101227178742579851<43>
2256133981401611693726709101139383908938071689<46>
2323914997586402425373626925170366307110519913<46>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3220879314
Step 1 took 17664ms
Step 2 took 7974ms
********** Factor found in step 2: 1148243156113045677167931101227178742579851
Found probable prime factor of 43 digits: 1148243156113045677167931101227178742579851
Composite cofactor 5243063595943526933683832497947364139428471240812790591819322430045862800845618128456043057 has 91 digits

SIQS done by YAFU:

>> siqs(5243063595943526933683832497947364139428471240812790591819322430045862800845618128456043057)


starting SIQS on c91: 5243063595943526933683832497947364139428471240812790591819322430045862800845618128456043057

==== sieving in progress ( 8 threads):   76608 relations needed ====
====            Press ctrl-c to abort and save state            ====
78080 rels found: 20993 full + 57087 from 974876 partial, (1215.34 rels/sec)

SIQS elapsed time = 862.9783 seconds.


***factors found***

P46 = 2323914997586402425373626925170366307110519913
P46 = 2256133981401611693726709101139383908938071689

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61368 / 2336294KTakahashiOctober 28, 2015 08:58:31 UTC 2015 年 10 月 28 日 (水) 17 時 58 分 31 秒 (日本時間)
474KTakahashiOctober 28, 2015 21:18:02 UTC 2015 年 10 月 29 日 (木) 6 時 18 分 2 秒 (日本時間)
600Dmitry DomanovOctober 29, 2015 07:14:40 UTC 2015 年 10 月 29 日 (木) 16 時 14 分 40 秒 (日本時間)

10266+3599

c237

composite cofactor 合成数の残り
249954985887016297006688573475340202400118903131185967819311284300643256628127208062573563839462469250379638400289171737527622794204171241973863667334028629627913260967405465617087403010092239623716509738021863786365587285962216315269011<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62650300Dmitry DomanovNovember 12, 2015 07:58:03 UTC 2015 年 11 月 12 日 (木) 16 時 58 分 3 秒 (日本時間)
2350Ignacio SantosJuly 25, 2023 16:53:35 UTC 2023 年 7 月 26 日 (水) 1 時 53 分 35 秒 (日本時間)
4511e64000Thomas KozlowskiOctober 19, 2024 09:26:03 UTC 2024 年 10 月 19 日 (土) 18 時 26 分 3 秒 (日本時間)

10268+3599

c241

name 名前Thomas Kozlowski
date 日付October 19, 2024 09:43:07 UTC 2024 年 10 月 19 日 (土) 18 時 43 分 7 秒 (日本時間)
composite number 合成数
3343810763868578913273968754854633083875011022245078229741612111069426031429254547070041028674482231601482298575048212707632444472487232553829520149003922527797840975027015915883446304246188770636501739464765376769357734035620822032016654441<241>
prime factors 素因数
827320831504923685535288376281352677330489<42>
4041734036584184192466518965085098713029815481403603503393239529423629185986583533231625088844648223948019447313596453742595507254526668492768545771429923324922527685388403335591691267858992296936369<199>
factorization results 素因数分解の結果
GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 3343810763868578913273968754854633083875011022245078229741612111069426031429254547070041028674482231601482298575048212707632444472487232553829520149003922527797840975027015915883446304246188770636501739464765376769357734035620822032016654441 (241 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:25376136
Step 1 took 43421ms
Step 2 took 16066ms
Run 2 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:70538407
Step 1 took 43135ms
Step 2 took 15978ms
Run 3 out of 0:
...
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:83949695
Step 1 took 43205ms
Step 2 took 16015ms
Run 15 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:980911690
Step 1 took 43633ms
Step 2 took 15980ms
** Factor found in step 2: 827320831504923685535288376281352677330489
Found prime factor of 42 digits: 827320831504923685535288376281352677330489
Prime cofactor 4041734036584184192466518965085098713029815481403603503393239529423629185986583533231625088844648223948019447313596453742595507254526668492768545771429923324922527685388403335591691267858992296936369 has 199 digits
execution environment 実行環境
2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62650300Dmitry DomanovNovember 12, 2015 11:08:18 UTC 2015 年 11 月 12 日 (木) 20 時 8 分 18 秒 (日本時間)
2350Ignacio SantosJuly 26, 2023 12:09:49 UTC 2023 年 7 月 26 日 (水) 21 時 9 分 49 秒 (日本時間)

10269+3599

c256

composite cofactor 合成数の残り
3133666258515631088604197377039889820994308848310037348914694753830638317724893402469049933854953720774587747990888997812310430212543784233782136765867420117415633287917650181775373400917532869184398059168568129553879925061746224461924911306482276689522237<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62650300Dmitry DomanovNovember 12, 2015 11:08:30 UTC 2015 年 11 月 12 日 (木) 20 時 8 分 30 秒 (日本時間)
2350Ignacio SantosJuly 26, 2023 12:25:11 UTC 2023 年 7 月 26 日 (水) 21 時 25 分 11 秒 (日本時間)
4511e64002Thomas KozlowskiOctober 19, 2024 11:34:58 UTC 2024 年 10 月 19 日 (土) 20 時 34 分 58 秒 (日本時間)

10270+3599

c244

composite cofactor 合成数の残り
2285789073558518356472886761101289195477230858201983515297113662959800673625460564443097978974540299284703071820831494640180386479517149822419847651341721004196231095164933298591191309839338158115697807584388447325394333352759266176900507341047<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62650300Dmitry DomanovNovember 12, 2015 11:08:43 UTC 2015 年 11 月 12 日 (木) 20 時 8 分 43 秒 (日本時間)
2350Ignacio SantosJuly 26, 2023 12:40:21 UTC 2023 年 7 月 26 日 (水) 21 時 40 分 21 秒 (日本時間)
4511e64001Thomas KozlowskiOctober 19, 2024 13:17:27 UTC 2024 年 10 月 19 日 (土) 22 時 17 分 27 秒 (日本時間)

10271+3599

c254

name 名前Ignacio Santos
date 日付July 26, 2023 12:41:11 UTC 2023 年 7 月 26 日 (水) 21 時 41 分 11 秒 (日本時間)
composite number 合成数
19804954117025518462279557760152391013945619230501812444060312545251841057158674311296331909230445111784280668511398495629386476542955790074968877544024769009043881600893755695228721819587694674265579245830081026329241986843911314167760362346459717448173<254>
prime factors 素因数
158332804135898677002934323903088399<36>
composite cofactor 合成数の残り
125084338808442515199979819397723306852299640307840006038907370889587006769565478167267881272316303733003785309960093553050587127408933636269188157042343690994065463145445321380469746550736335816501893548874870854178627<219>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3990369552
Step 1 took 12375ms
Step 2 took 62ms
********** Factor found in step 2: 158332804135898677002934323903088399
Found prime factor of 36 digits: 158332804135898677002934323903088399
Composite cofactor 125084338808442515199979819397723306852299640307840006038907370889587006769565478167267881272316303733003785309960093553050587127408933636269188157042343690994065463145445321380469746550736335816501893548874870854178627 has 219 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62650300Dmitry DomanovNovember 12, 2015 11:08:56 UTC 2015 年 11 月 12 日 (木) 20 時 8 分 56 秒 (日本時間)
2350Ignacio SantosAugust 27, 2023 06:25:16 UTC 2023 年 8 月 27 日 (日) 15 時 25 分 16 秒 (日本時間)
4511e64001Thomas KozlowskiOctober 19, 2024 14:47:23 UTC 2024 年 10 月 19 日 (土) 23 時 47 分 23 秒 (日本時間)

10272+3599

c229

name 名前Thomas Kozlowski
date 日付October 19, 2024 18:35:36 UTC 2024 年 10 月 20 日 (日) 3 時 35 分 36 秒 (日本時間)
composite number 合成数
4906911678898559308004097654416570797630466695515002110606823692532206062390051636990881138209739995425686038660306047260796299564973021064700852813504892231235080440272100059757076740815807667273763921425202487945351103779563977<229>
prime factors 素因数
44844218984357611672265257774620169924183<41>
109421276365860433520656705229545963495313986852133315094276677559865655634232325050602231798249587302150611670458755992513611436380191980874120686693386749257386175581391506416857296311519<189>
factorization results 素因数分解の結果
GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 4906911678898559308004097654416570797630466695515002110606823692532206062390051636990881138209739995425686038660306047260796299564973021064700852813504892231235080440272100059757076740815807667273763921425202487945351103779563977 (229 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3364845108
Step 1 took 38323ms
Step 2 took 14637ms
Run 2 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2953394589
Step 1 took 38802ms
Step 2 took 15458ms
Run 3 out of 0:
...
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:586068858
Step 1 took 37378ms
Step 2 took 14556ms
Run 23 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:753347809
Step 1 took 37882ms
Step 2 took 14560ms
** Factor found in step 2: 44844218984357611672265257774620169924183
Found prime factor of 41 digits: 44844218984357611672265257774620169924183
Prime cofactor 109421276365860433520656705229545963495313986852133315094276677559865655634232325050602231798249587302150611670458755992513611436380191980874120686693386749257386175581391506416857296311519 has 189 digits
execution environment 実行環境
2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62650300Dmitry DomanovNovember 12, 2015 07:57:46 UTC 2015 年 11 月 12 日 (木) 16 時 57 分 46 秒 (日本時間)
2350Ignacio SantosJuly 26, 2023 12:51:53 UTC 2023 年 7 月 26 日 (水) 21 時 51 分 53 秒 (日本時間)

10274+3599

c236

name 名前Thomas Kozlowski
date 日付October 19, 2024 18:36:11 UTC 2024 年 10 月 20 日 (日) 3 時 36 分 11 秒 (日本時間)
composite number 合成数
88392422678058530769425832036372588938395854182513287246468946465037121515305848068545934833574879599874347753900739000597221544259107475856897545214746011753391041934187793486442403955080278929578868654585867658267046167934893667158403<236>
prime factors 素因数
11343428645447813059952458068202793415647671<44>
composite cofactor 合成数の残り
7792390241157901394917201381568596772126586814511098457570850988002946954780327581124269548941688904009751888250991195573710224436284510535777724645636753742745053355988523106836734377654675093<193>
factorization results 素因数分解の結果
GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 88392422678058530769425832036372588938395854182513287246468946465037121515305848068545934833574879599874347753900739000597221544259107475856897545214746011753391041934187793486442403955080278929578868654585867658267046167934893667158403 (236 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4079044308
Step 1 took 44102ms
Step 2 took 17463ms
Run 2 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:110711034
Step 1 took 43923ms
Step 2 took 15946ms
Run 3 out of 0:
...
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1024778619
Step 1 took 45118ms
Step 2 took 17597ms
Run 70 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4088869424
Step 1 took 45210ms
Step 2 took 17273ms
** Factor found in step 2: 11343428645447813059952458068202793415647671
Found prime factor of 44 digits: 11343428645447813059952458068202793415647671
Composite cofactor 7792390241157901394917201381568596772126586814511098457570850988002946954780327581124269548941688904009751888250991195573710224436284510535777724645636753742745053355988523106836734377654675093 has 193 digits
execution environment 実行環境
2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04

c193

name 名前Dmitry Domanov
date 日付October 30, 2024 19:02:54 UTC 2024 年 10 月 31 日 (木) 4 時 2 分 54 秒 (日本時間)
composite number 合成数
7792390241157901394917201381568596772126586814511098457570850988002946954780327581124269548941688904009751888250991195573710224436284510535777724645636753742745053355988523106836734377654675093<193>
prime factors 素因数
12340424639222778043132246247817305680659775160233<50>
631452358324087624955716823745573445890118065620401479457846405788544738814788403767821198142944675074276684482756341986552857937048315937649421<144>
factorization results 素因数分解の結果
Resuming ECM residue saved by @b9763f90ad5c with GMP-ECM 7.0.5-dev on Wed Oct 30 16:13:43 2024 
Input number is 7792390241157901394917201381568596772126586814511098457570850988002946954780327581124269548941688904009751888250991195573710224436284510535777724645636753742745053355988523106836734377654675093 (193 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1918570893
Step 1 took 0ms
Step 2 took 9040ms
********** Factor found in step 2: 12340424639222778043132246247817305680659775160233
Found prime factor of 50 digits: 12340424639222778043132246247817305680659775160233
Prime cofactor 631452358324087624955716823745573445890118065620401479457846405788544738814788403767821198142944675074276684482756341986552857937048315937649421 has 144 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62650300Dmitry DomanovNovember 12, 2015 07:57:32 UTC 2015 年 11 月 12 日 (木) 16 時 57 分 32 秒 (日本時間)
2350Ignacio SantosJuly 26, 2023 13:38:02 UTC 2023 年 7 月 26 日 (水) 22 時 38 分 2 秒 (日本時間)
4511e63584Dmitry DomanovOctober 30, 2024 16:45:26 UTC 2024 年 10 月 31 日 (木) 1 時 45 分 26 秒 (日本時間)
5043e61792 / 6649Dmitry DomanovOctober 30, 2024 17:11:30 UTC 2024 年 10 月 31 日 (木) 2 時 11 分 30 秒 (日本時間)

10275+3599

c216

composite cofactor 合成数の残り
210680283854584986160180958556453197264738516633446367633654107529553710320058541906923610075038745218870039563094248182333198810693369982814187345356862510902692977478123313613992325307084809850098218930358920290897<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62650300Dmitry DomanovNovember 12, 2015 07:57:19 UTC 2015 年 11 月 12 日 (木) 16 時 57 分 19 秒 (日本時間)
2350Ignacio SantosJuly 26, 2023 13:38:23 UTC 2023 年 7 月 26 日 (水) 22 時 38 分 23 秒 (日本時間)
4511e64000Thomas KozlowskiOctober 19, 2024 17:48:43 UTC 2024 年 10 月 20 日 (日) 2 時 48 分 43 秒 (日本時間)

10276+3599

c268

composite cofactor 合成数の残り
2381141460592505287247226148188733910630127203267514702101975721410201789618775180407242290327677900918270298173129457239353308743333092623743082036973845511242012934222307733774355020272097844607655976034420771350345965210204108374329505388891011676501007107352469791<268>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62950600Dmitry DomanovNovember 12, 2015 07:56:46 UTC 2015 年 11 月 12 日 (木) 16 時 56 分 46 秒 (日本時間)
2350Ignacio SantosJuly 26, 2023 13:38:46 UTC 2023 年 7 月 26 日 (水) 22 時 38 分 46 秒 (日本時間)
4511e64002Thomas KozlowskiOctober 19, 2024 19:43:41 UTC 2024 年 10 月 20 日 (日) 4 時 43 分 41 秒 (日本時間)

10277+3599

c249

composite cofactor 合成数の残り
677378878561754675203323248364854909208555918732676935957408455989500842394149536409687324238864888163178616324811266735614365288953942813055176411759782486289444508793124039969347787568742427793167968402558717753707724495060998592629903489128007103<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62650300Dmitry DomanovNovember 12, 2015 07:56:29 UTC 2015 年 11 月 12 日 (木) 16 時 56 分 29 秒 (日本時間)
2350Ignacio SantosJuly 26, 2023 13:54:39 UTC 2023 年 7 月 26 日 (水) 22 時 54 分 39 秒 (日本時間)
4511e64001Thomas KozlowskiOctober 19, 2024 21:26:37 UTC 2024 年 10 月 20 日 (日) 6 時 26 分 37 秒 (日本時間)

10278+3599

c250

composite cofactor 合成数の残り
7705347563328928317118873290701135006242753951355014320119487501050094778792248771535415730462839426867833530715171700053964347454152461170725327944381035784861704603413169367880304336106677099327393916840749814971346153187967188965808147311316675751<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62650300Dmitry DomanovNovember 12, 2015 07:56:16 UTC 2015 年 11 月 12 日 (木) 16 時 56 分 16 秒 (日本時間)
2350Ignacio SantosJuly 26, 2023 14:06:40 UTC 2023 年 7 月 26 日 (水) 23 時 6 分 40 秒 (日本時間)
4511e64000Thomas KozlowskiOctober 19, 2024 23:10:23 UTC 2024 年 10 月 20 日 (日) 8 時 10 分 23 秒 (日本時間)

10279+3599

c237

composite cofactor 合成数の残り
876330884530055233910617034926361749794368386521710228598124855580067968247137845182086022776403188806032567123049288660903125202299528462508241039394973069379460843790204542745542297687182760181829121153550798751059126481263693178268397<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62650300Dmitry DomanovNovember 12, 2015 07:56:02 UTC 2015 年 11 月 12 日 (木) 16 時 56 分 2 秒 (日本時間)
2350Ignacio SantosJuly 26, 2023 14:20:36 UTC 2023 年 7 月 26 日 (水) 23 時 20 分 36 秒 (日本時間)
4511e64001Thomas KozlowskiOctober 20, 2024 00:52:12 UTC 2024 年 10 月 20 日 (日) 9 時 52 分 12 秒 (日本時間)

10281+3599

c268

composite cofactor 合成数の残り
3470555696025066866648111295680290160355416349064678271081847695912328978506485244366216346934772155734652835447813349142992839895252102204499530649837453299134577968960390684608473608566296927958506534100299834773526106707605770864765949680897266122413039734519637267<268>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336300Dmitry DomanovNovember 12, 2015 07:55:48 UTC 2015 年 11 月 12 日 (木) 16 時 55 分 48 秒 (日本時間)
2036Eric JeancolasJune 29, 2020 11:29:52 UTC 2020 年 6 月 29 日 (月) 20 時 29 分 52 秒 (日本時間)
4511e64413Eric JeancolasJune 29, 2020 11:31:14 UTC 2020 年 6 月 29 日 (月) 20 時 31 分 14 秒 (日本時間)

10282+3599

c276

composite cofactor 合成数の残り
394328452730073893208757088546848388990822793919612990283352596278249197443016581117108846877135535026816306427908675107661525806628424693320904100503281404219393309902336672112342598868987131879602059498642918629929450696522062479766021269288083354725651893939842039908405387<276>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovOctober 28, 2015 23:06:37 UTC 2015 年 10 月 29 日 (木) 8 時 6 分 37 秒 (日本時間)
4511e64346800Dmitry DomanovJanuary 23, 2016 11:32:40 UTC 2016 年 1 月 23 日 (土) 20 時 32 分 40 秒 (日本時間)
3546Eric JeancolasJune 29, 2020 00:27:25 UTC 2020 年 6 月 29 日 (月) 9 時 27 分 25 秒 (日本時間)

10285+3599

c199

composite cofactor 合成数の残り
1190574033777068502818987902831292037466654963540070699896544253547959669044097621054437270134893384916420274223511856511846368756529859047769334413993743009341787643729843185317438845585070645948909<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61300300Dmitry DomanovNovember 12, 2015 07:55:27 UTC 2015 年 11 月 12 日 (木) 16 時 55 分 27 秒 (日本時間)
1000Dmitry DomanovNovember 23, 2016 13:58:30 UTC 2016 年 11 月 23 日 (水) 22 時 58 分 30 秒 (日本時間)
4511e64192400Dmitry DomanovJanuary 11, 2017 08:54:40 UTC 2017 年 1 月 11 日 (水) 17 時 54 分 40 秒 (日本時間)
3792Eric JeancolasJune 28, 2020 07:46:04 UTC 2020 年 6 月 28 日 (日) 16 時 46 分 4 秒 (日本時間)

10287+3599

c246

composite cofactor 合成数の残り
851970673948104629951736503230431765829741747179948237414999167945282865786474310788848245538723460448024935160772117973470965822480192358010267629010017920729206432431944900050545411209799998230415578906426474601576416321645362543984653779348001<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336300Dmitry DomanovNovember 12, 2015 07:55:03 UTC 2015 年 11 月 12 日 (木) 16 時 55 分 3 秒 (日本時間)
2036Eric JeancolasJune 28, 2020 07:25:30 UTC 2020 年 6 月 28 日 (日) 16 時 25 分 30 秒 (日本時間)
4511e64413Eric JeancolasJune 28, 2020 07:26:21 UTC 2020 年 6 月 28 日 (日) 16 時 26 分 21 秒 (日本時間)

10288+3599

c282

name 名前Dmitry Domanov
date 日付October 29, 2015 06:46:47 UTC 2015 年 10 月 29 日 (木) 15 時 46 分 47 秒 (日本時間)
composite number 合成数
138642624926363435835985220141612349952286140631592023557045686488264109763920724701637605092842726995063906624746682593931418207298175504648756535093429185298502423958332900075130438447596345879520390794739732439143859608259717565563057507990321081068640715817418199811473758625131<282>
prime factors 素因数
9379106193182787307774446203579056727<37>
composite cofactor 合成数の残り
14782072200774948689727249819254952578632219429793409985706169711670803336582399479166223772547611988799347298884219357903873341043677508854744938761281719330894995010472261578896190748903003611820365619940547824163282846307316971628831896131853<245>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=575563491
Step 1 took 36668ms
Step 2 took 11483ms
********** Factor found in step 2: 9379106193182787307774446203579056727
Found probable prime factor of 37 digits: 9379106193182787307774446203579056727

c245

name 名前Eric Jeancolas
date 日付June 26, 2020 05:19:26 UTC 2020 年 6 月 26 日 (金) 14 時 19 分 26 秒 (日本時間)
composite number 合成数
14782072200774948689727249819254952578632219429793409985706169711670803336582399479166223772547611988799347298884219357903873341043677508854744938761281719330894995010472261578896190748903003611820365619940547824163282846307316971628831896131853<245>
prime factors 素因数
342059731494676795670065842379190655361901<42>
43214885704852371248583903226869375581607812018504380224863968704573216149752505391314079427768471398990884553799420607736247550181222226415101402890091148617411079933806650247044266247664218089929861153<203>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 14782072200774948689727249819254952578632219429793409985706169711670803336582399479166223772547611988799347298884219357903873341043677508854744938761281719330894995010472261578896190748903003611820365619940547824163282846307316971628831896131853 (245 digits)
Run 1390 out of 4413:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2788509281
Step 1 took 48644ms
Step 2 took 17296ms
********** Factor found in step 2: 342059731494676795670065842379190655361901
Found prime factor of 42 digits: 342059731494676795670065842379190655361901
Prime cofactor 43214885704852371248583903226869375581607812018504380224863968704573216149752505391314079427768471398990884553799420607736247550181222226415101402890091148617411079933806650247044266247664218089929861153 has 203 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovOctober 28, 2015 23:05:19 UTC 2015 年 10 月 29 日 (木) 8 時 5 分 19 秒 (日本時間)

10289+3599

c278

name 名前Dmitry Domanov
date 日付November 12, 2015 09:16:47 UTC 2015 年 11 月 12 日 (木) 18 時 16 分 47 秒 (日本時間)
composite number 合成数
31423251639231627305741043414376371032462390475411726583743925657022880828592581603810268316243598753056697553436389432821061922700873010418637433535248303888662555173125794022623158158529641432752119019510483739178870371466507133580826571816080092110004414822905396284316371929<278>
prime factors 素因数
30605261634742247806293957983<29>
composite cofactor 合成数の残り
1026727103798414186276324436201337668236297816351443814523340672686329940218849943811134780665581189903805093622217100204956352044487439882262669665960826692430839384979251385375181418049072421279023469058844371500703578420860108216657132755876293063<250>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2808752776
Step 1 took 51768ms
Step 2 took 13094ms
********** Factor found in step 2: 30605261634742247806293957983
Found probable prime factor of 29 digits: 30605261634742247806293957983

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336300Dmitry DomanovNovember 12, 2015 07:54:46 UTC 2015 年 11 月 12 日 (木) 16 時 54 分 46 秒 (日本時間)
2036Eric JeancolasJune 28, 2020 06:49:21 UTC 2020 年 6 月 28 日 (日) 15 時 49 分 21 秒 (日本時間)
4511e64413Eric JeancolasJune 28, 2020 06:49:58 UTC 2020 年 6 月 28 日 (日) 15 時 49 分 58 秒 (日本時間)

10290+3599

c253

name 名前Eric Jeancolas
date 日付June 24, 2020 04:52:32 UTC 2020 年 6 月 24 日 (水) 13 時 52 分 32 秒 (日本時間)
composite number 合成数
6792781493346453801312589823138451343327276024614973279372550090683868065945573106432029645425958411836001764269848063016833368962249530179787118896538265968847243484623959669363436056050116674795097870401004310993083148741779530389950254303329443435851<253>
prime factors 素因数
1977995934409669932281366516122955119323707<43>
3434173637659042892517066018390754222235342123218577598048843398768334555672378028283593798736927758279763985117988131665023186680565732167190378300594427762640247760802045227002699705128143830756108474946617393<211>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 6792781493346453801312589823138451343327276024614973279372550090683868065945573106432029645425958411836001764269848063016833368962249530179787118896538265968847243484623959669363436056050116674795097870401004310993083148741779530389950254303329443435851 (253 digits)
Run 693 out of 4413:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2122932247
Step 1 took 183152ms
Step 2 took 70734ms
********** Factor found in step 2: 1977995934409669932281366516122955119323707
Found prime factor of 43 digits: 1977995934409669932281366516122955119323707
Prime cofactor 3434173637659042892517066018390754222235342123218577598048843398768334555672378028283593798736927758279763985117988131665023186680565732167190378300594427762640247760802045227002699705128143830756108474946617393 has 211 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 18.04 LTS
Intel(R) Core(TM)2 Duo CPU U9400  @ 1.40GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovNovember 11, 2015 22:02:38 UTC 2015 年 11 月 12 日 (木) 7 時 2 分 38 秒 (日本時間)

10291+3599

c246

name 名前Dmitry Domanov
date 日付November 11, 2015 23:30:13 UTC 2015 年 11 月 12 日 (木) 8 時 30 分 13 秒 (日本時間)
composite number 合成数
498910065099812031387440586493287864947878013609696311068744970878640617189959478440456433753505635930466399276219751977220974636770615548813702681726683307588968804675341486714753564812203116501830241773670294210748825053932086403541021024471353<246>
prime factors 素因数
46309148991150764274576430472217923<35>
composite cofactor 合成数の残り
10773466495684232417825327916098477252863749214750531603450764740925493670868889646188593455568370815992897104884050564838737310473631944677640557906629580467300997724543069583844222022966918168469805366497235411<212>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4294246232
Step 1 took 35919ms
Step 2 took 11167ms
********** Factor found in step 2: 46309148991150764274576430472217923
Found probable prime factor of 35 digits: 46309148991150764274576430472217923

c212

name 名前Eric Jeancolas
date 日付June 22, 2020 06:45:16 UTC 2020 年 6 月 22 日 (月) 15 時 45 分 16 秒 (日本時間)
composite number 合成数
10773466495684232417825327916098477252863749214750531603450764740925493670868889646188593455568370815992897104884050564838737310473631944677640557906629580467300997724543069583844222022966918168469805366497235411<212>
prime factors 素因数
39265429359959340374970974924664634177<38>
274375364571217525004697813702588898436080757978763203957738182762183449301885002370463176726057018606409315518808950158325602129292748962594445971455016766515740210495335443<174>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 10773466495684232417825327916098477252863749214750531603450764740925493670868889646188593455568370815992897104884050564838737310473631944677640557906629580467300997724543069583844222022966918168469805366497235411 (212 digits)
Run 2750 out of 4413:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1337150610
Step 1 took 122784ms
Step 2 took 54722ms
********** Factor found in step 2: 39265429359959340374970974924664634177
Found prime factor of 38 digits: 39265429359959340374970974924664634177
Prime cofactor 274375364571217525004697813702588898436080757978763203957738182762183449301885002370463176726057018606409315518808950158325602129292748962594445971455016766515740210495335443 has 174 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 18.04 LTS
Intel(R) Core(TM)2 Duo CPU U9400  @ 1.40GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovNovember 11, 2015 22:02:25 UTC 2015 年 11 月 12 日 (木) 7 時 2 分 25 秒 (日本時間)

10292+3599

c275

name 名前Dmitry Domanov
date 日付November 12, 2015 10:02:35 UTC 2015 年 11 月 12 日 (木) 19 時 2 分 35 秒 (日本時間)
composite number 合成数
31298336141934681693014583067887074196060429595079151346552709000445915675120112917168741161738038160109505137816654853470166327705709534573196533027096077455984909806873930362732928571396510704850582214241395865995000926819543264974744664957915949965826894965921732532216369<275>
prime factors 素因数
8184008902300829523511188943999<31>
3824328213173809529037473342960444178140972681949535553918429528786527188781163871800525648703394775282579036221324676297473316037673232027836955423330573627090225232054666463544395041736388348393568289841882800281742129568998126093381659447631<244>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1013757573
Step 1 took 41649ms
Step 2 took 13789ms
********** Factor found in step 2: 8184008902300829523511188943999
Found probable prime factor of 31 digits: 8184008902300829523511188943999

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovNovember 12, 2015 07:54:31 UTC 2015 年 11 月 12 日 (木) 16 時 54 分 31 秒 (日本時間)

10294+3599

c260

composite cofactor 合成数の残り
10227541718825241956752189879422223859570082723146449190273136337195412521931519289886216444170709166385485714128887776133253796149130793068597942806741878924037820725489176034464844829264656355037851510487895732454617715646064104976128560864852948667409550603<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336300Dmitry DomanovNovember 11, 2015 22:02:08 UTC 2015 年 11 月 12 日 (木) 7 時 2 分 8 秒 (日本時間)
2036Eric JeancolasJune 17, 2020 21:05:23 UTC 2020 年 6 月 18 日 (木) 6 時 5 分 23 秒 (日本時間)
4511e64413Eric JeancolasJune 17, 2020 21:05:39 UTC 2020 年 6 月 18 日 (木) 6 時 5 分 39 秒 (日本時間)

10295+3599

c250

name 名前Dmitry Domanov
date 日付November 11, 2015 22:49:58 UTC 2015 年 11 月 12 日 (木) 7 時 49 分 58 秒 (日本時間)
composite number 合成数
1190201684649936048945072350351965290981362302777375270828184095073688831885768499958848632947352451944049544320886512111683509859933909218461142483453993815962327084145847533651216098910110557150571186763601769406943809582154168298835818947509125503<250>
prime factors 素因数
639659115149935867805432543461619<33>
composite cofactor 合成数の残り
1860681191685907891362416330435035770629127817215951710509462440840836058277876591523288919497302923559180851911383959841673523012052298686519138333591936696537256969714883209150898976655032566930844115774385203642437<217>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3936904113
Step 1 took 36966ms
Step 2 took 11255ms
********** Factor found in step 2: 639659115149935867805432543461619
Found probable prime factor of 33 digits: 639659115149935867805432543461619

c217

name 名前Eric Jeancolas
date 日付June 30, 2020 02:58:02 UTC 2020 年 6 月 30 日 (火) 11 時 58 分 2 秒 (日本時間)
composite number 合成数
1860681191685907891362416330435035770629127817215951710509462440840836058277876591523288919497302923559180851911383959841673523012052298686519138333591936696537256969714883209150898976655032566930844115774385203642437<217>
prime factors 素因数
58557791908528693831001088353639820517<38>
composite cofactor 合成数の残り
31775125581791405864702816752459290392824324429022764270128186444118144496049441793628866019094583843417358549978701570680032804067846111382758098744171611040853487893197458337761<179>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 1860681191685907891362416330435035770629127817215951710509462440840836058277876591523288919497302923559180851911383959841673523012052298686519138333591936696537256969714883209150898976655032566930844115774385203642437 (217 digits)
Run 90 out of 4413:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2442879054
Step 1 took 137646ms
Step 2 took 37730ms
********** Factor found in step 2: 58557791908528693831001088353639820517
Found prime factor of 38 digits: 58557791908528693831001088353639820517
Composite cofactor 31775125581791405864702816752459290392824324429022764270128186444118144496049441793628866019094583843417358549978701570680032804067846111382758098744171611040853487893197458337761 has 179 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 18.04 LTS
Intel(R) Core(TM)2 Duo CPU U9400  @ 1.40GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336300Dmitry DomanovNovember 11, 2015 22:01:56 UTC 2015 年 11 月 12 日 (木) 7 時 1 分 56 秒 (日本時間)
2036Eric JeancolasJuly 7, 2020 06:10:44 UTC 2020 年 7 月 7 日 (火) 15 時 10 分 44 秒 (日本時間)
4511e64413Eric JeancolasJuly 7, 2020 06:11:17 UTC 2020 年 7 月 7 日 (火) 15 時 11 分 17 秒 (日本時間)
5043e61792 / 6475Dmitry DomanovMay 1, 2024 20:52:27 UTC 2024 年 5 月 2 日 (木) 5 時 52 分 27 秒 (日本時間)

10297+3599

c258

composite cofactor 合成数の残り
116921855751163034136447704235302018338660209672412461148626365457617155497297818509647114320543339267822324690684888981277611208159123057227405418021789691724757952247300336732511204842393578776010270814951079922560254309621395203776043934241633538994125293<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336300Dmitry DomanovNovember 11, 2015 22:01:43 UTC 2015 年 11 月 12 日 (木) 7 時 1 分 43 秒 (日本時間)
2036Eric JeancolasJuly 7, 2020 06:13:44 UTC 2020 年 7 月 7 日 (火) 15 時 13 分 44 秒 (日本時間)
4511e64413Eric JeancolasJuly 7, 2020 06:14:09 UTC 2020 年 7 月 7 日 (火) 15 時 14 分 9 秒 (日本時間)

10298+3599

c265

composite cofactor 合成数の残り
4457099996394515376944940519745482140127126363771651021639224178741455295715350999493330109978655536723379901815630266707057575746382598634398541743510659929331713823847174711684126568708381491984654546326086145452995077931510338349939898430121768527419028303971137<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336300Dmitry DomanovNovember 11, 2015 22:01:28 UTC 2015 年 11 月 12 日 (木) 7 時 1 分 28 秒 (日本時間)
2036Eric JeancolasJune 17, 2020 21:02:07 UTC 2020 年 6 月 18 日 (木) 6 時 2 分 7 秒 (日本時間)
4511e64413Eric JeancolasJune 17, 2020 21:03:25 UTC 2020 年 6 月 18 日 (木) 6 時 3 分 25 秒 (日本時間)

10300+3599

c258

composite cofactor 合成数の残り
681934982018810200417270565095926145246859462136508353979575690954948227690015582045439613969173217509987139327242937523345134395853591190518383036101247235175034145536564034026530773734107896751985821751909282523912251939811450232181703833923863642626254297<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61336136KTakahashiOctober 28, 2015 09:15:15 UTC 2015 年 10 月 28 日 (水) 18 時 15 分 15 秒 (日本時間)
1200Dmitry DomanovOctober 28, 2015 16:16:52 UTC 2015 年 10 月 29 日 (木) 1 時 16 分 52 秒 (日本時間)
4511e6600Dmitry DomanovOctober 30, 2015 23:36:11 UTC 2015 年 10 月 31 日 (土) 8 時 36 分 11 秒 (日本時間)
5043e61000 / 7339400Dmitry DomanovNovember 1, 2015 23:23:11 UTC 2015 年 11 月 2 日 (月) 8 時 23 分 11 秒 (日本時間)
600Dmitry DomanovNovember 4, 2015 00:49:11 UTC 2015 年 11 月 4 日 (水) 9 時 49 分 11 秒 (日本時間)
5511e710 / 17362Dmitry DomanovNovember 4, 2015 00:49:34 UTC 2015 年 11 月 4 日 (水) 9 時 49 分 34 秒 (日本時間)
6026e71 / 41885Dmitry DomanovNovember 4, 2015 00:49:45 UTC 2015 年 11 月 4 日 (水) 9 時 49 分 45 秒 (日本時間)