Table of contents 目次

10109+2699

c107

name 名前Dmitry Domanov
date 日付December 6, 2014 16:21:19 UTC 2014 年 12 月 7 日 (日) 1 時 21 分 19 秒 (日本時間)
composite number 合成数
48309178743961352657004830917874396135265700483091787439613526570048309178743961352657004830917874396135267<107>
prime factors 素因数
147116701701362733185853157357723284666983<42>
328373177112316049369463544553202731981672485365764563741235555749<66>
factorization results 素因数分解の結果
N=48309178743961352657004830917874396135265700483091787439613526570048309178743961352657004830917874396135267
  ( 107 digits)
SNFS difficulty: 110 digits.
Divisors found:
 r1=147116701701362733185853157357723284666983 (pp42)
 r2=328373177112316049369463544553202731981672485365764563741235555749 (pp66)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 0.44 hours.
Scaled time: 0.90 units (timescale=2.046).
Factorization parameters were as follows:
n: 48309178743961352657004830917874396135265700483091787439613526570048309178743961352657004830917874396135267
m: 10000000000000000000000
deg: 5
c5: 1
c0: 2690
skew: 4.85
# Murphy_E = 3.032e-08
type: snfs
lss: 1
rlim: 480000
alim: 480000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 480000/480000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [240000, 540001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 56011 x 56236
Total sieving time: 0.41 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,110.000,5,0,0,0,0,0,0,0,0,480000,480000,25,25,44,44,2.2,2.2,50000
total time: 0.44 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)

10113+2699

c111

name 名前KTakahashi
date 日付December 6, 2014 17:15:59 UTC 2014 年 12 月 7 日 (日) 2 時 15 分 59 秒 (日本時間)
composite number 合成数
854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700857<111>
prime factors 素因数
40603129414747006072054773816837215190005503669<47>
21050122663462201367146985548209542998249532758009242254355345653<65>
factorization results 素因数分解の結果
Number: 11141_113
N=854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700857
  ( 111 digits)
SNFS difficulty: 113 digits.
Divisors found:
 r1=40603129414747006072054773816837215190005503669 (pp47)
 r2=21050122663462201367146985548209542998249532758009242254355345653 (pp65)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.41 hours.
Scaled time: 2.46 units (timescale=1.737).
Factorization parameters were as follows:
n: 854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700857
m: 10000000000000000000000
c5: 1000
c0: 269
skew: 0.77
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, 500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 90632 x 90857
Total sieving time: 1.36 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,113.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.41 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)

10117+2699

c107

name 名前KTakahashi
date 日付December 6, 2014 17:16:45 UTC 2014 年 12 月 7 日 (日) 2 時 16 分 45 秒 (日本時間)
composite number 合成数
77188607686985686841063332533904045582529362287203379046219896922825758116356761126071718286103836901106139<107>
prime factors 素因数
23864467547688594246758157797429410009793202101<47>
3234457568883066518464866173456495767663716916257590977404239<61>
factorization results 素因数分解の結果
Number: 11141_117
N=77188607686985686841063332533904045582529362287203379046219896922825758116356761126071718286103836901106139
  ( 107 digits)
SNFS difficulty: 117 digits.
Divisors found:
 r1=23864467547688594246758157797429410009793202101 (pp47)
 r2=3234457568883066518464866173456495767663716916257590977404239 (pp61)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.83 hours.
Scaled time: 3.78 units (timescale=2.068).
Factorization parameters were as follows:
n: 77188607686985686841063332533904045582529362287203379046219896922825758116356761126071718286103836901106139
m: 100000000000000000000000
c5: 100
c0: 269
skew: 1.22
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, 600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 100824 x 101049
Total sieving time: 1.76 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.02 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: 1.83 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)

10121+2699

c105

name 名前KTakahashi
date 日付December 6, 2014 18:11:26 UTC 2014 年 12 月 7 日 (日) 3 時 11 分 26 秒 (日本時間)
composite number 合成数
260693882909380489084859347534287085960324437317102639354211768185515983902298755453094860132258285975143<105>
prime factors 素因数
960650138298112886304415147331<30>
6171371815231893479896863774391<31>
43972775481348386688970347782195640151336283<44>
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 260693882909380489084859347534287085960324437317102639354211768185515983902298755453094860132258285975143 (105 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=211033135
Step 1 took 3027ms
Step 2 took 1997ms
********** Factor found in step 2: 960650138298112886304415147331
Found probable prime factor of 30 digits: 960650138298112886304415147331
Composite cofactor 271372347243113491735126142062782693228780882227809019979110442213684528653 has 75 digits

Msieve v. 1.51 (SVN Official Release)
Sat Nov 29 08:16:02 2014
random seeds: 9be5ad5c a5ee5d88
factoring 271372347243113491735126142062782693228780882227809019979110442213684528653 (75 digits)
searching for 15-digit factors
commencing quadratic sieve (75-digit input)
using multiplier of 2
using VC8 64kb sieve core
sieve interval: 6 blocks of size 65536
processing polynomials in batches of 17
using a sieve bound of 638527 (25826 primes)
using large prime bound of 63852700 (25 bits)
using trial factoring cutoff of 26 bits
polynomial 'A' values have 9 factors
26083 relations (13001 full + 13082 combined from 143928 partial), need 25922
begin with 156929 relations
reduce to 37620 relations in 2 passes
attempting to read 37620 relations
recovered 37620 relations
recovered 29717 polynomials
attempting to build 26083 cycles
found 26083 cycles in 1 passes
distribution of cycle lengths:
   length 1 : 13001
   length 2 : 13082
largest cycle: 2 relations
matrix is 25826 x 26083 (3.7 MB) with weight 764881 (29.32/col)
sparse part has weight 764881 (29.32/col)
filtering completed in 3 passes
matrix is 18934 x 18998 (2.9 MB) with weight 615203 (32.38/col)
sparse part has weight 615203 (32.38/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 18886 x 18998 (2.1 MB) with weight 462469 (24.34/col)
sparse part has weight 358716 (18.88/col)
commencing Lanczos iteration
memory use: 2.1 MB
lanczos halted after 300 iterations (dim = 18886)
recovered 18 nontrivial dependencies
prp31 factor: 6171371815231893479896863774391
prp44 factor: 43972775481348386688970347782195640151336283
elapsed time 00:03:10

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)

10123+2699

c111

name 名前Dmitry Domanov
date 日付December 6, 2014 20:42:42 UTC 2014 年 12 月 7 日 (日) 5 時 42 分 42 秒 (日本時間)
composite number 合成数
516957368157024869156995630241077767237048523759761458481168538196083785450383114571338608819572787123605533947<111>
prime factors 素因数
107155549350334228478328389615801<33>
4824363939070342037668232009922059970182569574756805421356422996691774603051347<79>
factorization results 素因数分解の結果
N=516957368157024869156995630241077767237048523759761458481168538196083785450383114571338608819572787123605533947
  ( 111 digits)
SNFS difficulty: 123 digits.
Divisors found:
 r1=107155549350334228478328389615801 (pp33)
 r2=4824363939070342037668232009922059970182569574756805421356422996691774603051347 (pp79)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 1.77 hours.
Scaled time: 3.00 units (timescale=1.693).
Factorization parameters were as follows:
n: 516957368157024869156995630241077767237048523759761458481168538196083785450383114571338608819572787123605533947
m: 1000000000000000000000000
deg: 5
c5: 1000
c0: 269
skew: 0.77
# Murphy_E = 1.096e-08
type: snfs
lss: 1
rlim: 790000
alim: 790000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 790000/790000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [395000, 895001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 81639 x 81864
Total sieving time: 1.72 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,123.000,5,0,0,0,0,0,0,0,0,790000,790000,25,25,46,46,2.2,2.2,50000
total time: 1.77 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
351e6904118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 6, 2014 19:22:40 UTC 2014 年 12 月 7 日 (日) 4 時 22 分 40 秒 (日本時間)

10124+2699

c112

name 名前KTakahashi
date 日付December 6, 2014 18:12:57 UTC 2014 年 12 月 7 日 (日) 3 時 12 分 57 秒 (日本時間)
composite number 合成数
3013668759061857732666314803590614419161741327270961315562706966736397469430454727136703138843013384539008871281<112>
prime factors 素因数
48721091710809041858938499640539<32>
28943654923814767727727142862503623623<38>
2137101421531720041427646911780427013474373<43>
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 3013668759061857732666314803590614419161741327270961315562706966736397469430454727136703138843013384539008871281 (112 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3951968499
Step 1 took 2652ms
Step 2 took 1778ms
********** Factor found in step 2: 48721091710809041858938499640539
Found probable prime factor of 32 digits: 48721091710809041858938499640539
Composite cofactor 61855526082008108246868922928126790828196344254689175106195659179888559547913379 has 80 digits

Msieve v. 1.51 (SVN Official Release)
Sun Nov 30 11:05:07 2014
random seeds: f33201d8 3cbe940d
factoring 61855526082008108246868922928126790828196344254689175106195659179888559547913379 (80 digits)
searching for 15-digit factors
commencing quadratic sieve (80-digit input)
using multiplier of 3
using VC8 64kb sieve core
sieve interval: 6 blocks of size 65536
processing polynomials in batches of 17
using a sieve bound of 1292281 (50000 primes)
using large prime bound of 129228100 (26 bits)
using trial factoring cutoff of 27 bits
polynomial 'A' values have 10 factors
50272 relations (25919 full + 24353 combined from 271137 partial), need 50096
begin with 297056 relations
reduce to 71608 relations in 2 passes
attempting to read 71608 relations
recovered 71608 relations
recovered 59834 polynomials
attempting to build 50272 cycles
found 50272 cycles in 1 passes
distribution of cycle lengths:
   length 1 : 25919
   length 2 : 24353
largest cycle: 2 relations
matrix is 50000 x 50272 (7.4 MB) with weight 1525946 (30.35/col)
sparse part has weight 1525946 (30.35/col)
filtering completed in 3 passes
matrix is 35302 x 35365 (5.7 MB) with weight 1202203 (33.99/col)
sparse part has weight 1202203 (33.99/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 35254 x 35365 (4.1 MB) with weight 933057 (26.38/col)
sparse part has weight 714692 (20.21/col)
using block size 14101 for processor cache size 1024 kB
commencing Lanczos iteration
memory use: 2.3 MB
lanczos halted after 559 iterations (dim = 35248)
recovered 15 nontrivial dependencies
prp38 factor: 28943654923814767727727142862503623623
prp43 factor: 2137101421531720041427646911780427013474373
elapsed time 00:09:23

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)

10125+2699

c110

name 名前Dmitry Domanov
date 日付December 6, 2014 22:48:19 UTC 2014 年 12 月 7 日 (日) 7 時 48 分 19 秒 (日本時間)
composite number 合成数
91346299223298587498156058308272732084320284141050809410549476045866204056966137658353556868142587365672755517<110>
prime factors 素因数
257920068661067972399538124510358167217<39>
354165147743258781185406326205562621237782986385370127388050649084429901<72>
factorization results 素因数分解の結果
N=91346299223298587498156058308272732084320284141050809410549476045866204056966137658353556868142587365672755517
  ( 110 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=257920068661067972399538124510358167217 (pp39)
 r2=354165147743258781185406326205562621237782986385370127388050649084429901 (pp72)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 1.06 hours.
Scaled time: 2.24 units (timescale=2.105).
Factorization parameters were as follows:
n: 91346299223298587498156058308272732084320284141050809410549476045866204056966137658353556868142587365672755517
m: 10000000000000000000000000
deg: 5
c5: 1
c0: 269
skew: 3.06
# Murphy_E = 1.256e-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, 675001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 102821 x 103048
Total sieving time: 1.00 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: 1.06 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 6, 2014 19:22:55 UTC 2014 年 12 月 7 日 (日) 4 時 22 分 55 秒 (日本時間)

10128+2699

c123

name 名前Dmitry Domanov
date 日付December 7, 2014 11:25:15 UTC 2014 年 12 月 7 日 (日) 20 時 25 分 15 秒 (日本時間)
composite number 合成数
194702912560868998039341670512049189743829377943664659279638164107296881054043687439520407785780067484029493597194720435823<123>
prime factors 素因数
1616988326993050447549915282242663158371211<43>
120410833715131574628740907839821480211364386004074038038920542703418654155861293<81>
factorization results 素因数分解の結果
N=194702912560868998039341670512049189743829377943664659279638164107296881054043687439520407785780067484029493597194720435823
  ( 123 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=1616988326993050447549915282242663158371211 (pp43)
 r2=120410833715131574628740907839821480211364386004074038038920542703418654155861293 (pp81)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 1.61 hours.
Scaled time: 3.27 units (timescale=2.027).
Factorization parameters were as follows:
n: 194702912560868998039341670512049189743829377943664659279638164107296881054043687439520407785780067484029493597194720435823
m: 10000000000000000000000000
deg: 5
c5: 1000
c0: 269
skew: 0.77
# Murphy_E = 7.293e-09
type: snfs
lss: 1
rlim: 950000
alim: 950000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 950000/950000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [475000, 825001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 142353 x 142579
Total sieving time: 1.51 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,128.000,5,0,0,0,0,0,0,0,0,950000,950000,26,26,47,47,2.3,2.3,50000
total time: 1.61 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 6, 2014 19:23:09 UTC 2014 年 12 月 7 日 (日) 4 時 23 分 9 秒 (日本時間)

10129+2699

c102

name 名前KTakahashi
date 日付December 6, 2014 18:13:55 UTC 2014 年 12 月 7 日 (日) 3 時 13 分 55 秒 (日本時間)
composite number 合成数
224410650780658353277038499623067027553240430530925163244782024517922634439630664884970698014261367239<102>
prime factors 素因数
329383543758953333694359495092823<33>
681304986338007975805935439484561845399112583530926996449463478078993<69>
factorization results 素因数分解の結果
Input number is 224410650780658353277038499623067027553240430530925163244782024517922634439630664884970698014261367239 (102 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3853614653
Step 1 took 2886ms
Step 2 took 1685ms
********** Factor found in step 2: 329383543758953333694359495092823
Found probable prime factor of 33 digits: 329383543758953333694359495092823
Probable prime cofactor 681304986338007975805935439484561845399112583530926996449463478078993 has 69 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)

10130+2699

c117

name 名前Dmitry Domanov
date 日付December 8, 2014 10:28:49 UTC 2014 年 12 月 8 日 (月) 19 時 28 分 49 秒 (日本時間)
composite number 合成数
163862660131778066403069007225443210008038506069894854026482716108033464961931524138422562324088573021684275120702473<117>
prime factors 素因数
8302357345836101435121199669996562699021<40>
19736883550785783449247210706854071683022908198334690513374763016304216991213<77>
factorization results 素因数分解の結果
N=163862660131778066403069007225443210008038506069894854026482716108033464961931524138422562324088573021684275120702473
  ( 117 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=8302357345836101435121199669996562699021 (pp40)
 r2=19736883550785783449247210706854071683022908198334690513374763016304216991213 (pp77)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 1.90 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 163862660131778066403069007225443210008038506069894854026482716108033464961931524138422562324088573021684275120702473
m: 100000000000000000000000000
deg: 5
c5: 1
c0: 269
skew: 3.06
# Murphy_E = 8.324e-09
type: snfs
lss: 1
rlim: 1030000
alim: 1030000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3

Factor base limits: 1030000/1030000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [515000, 865001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 133678 x 133904
Total sieving time: 1.81 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,130.000,5,0,0,0,0,0,0,0,0,1030000,1030000,26,26,47,47,2.3,2.3,50000
total time: 1.90 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 6, 2014 19:23:22 UTC 2014 年 12 月 7 日 (日) 4 時 23 分 22 秒 (日本時間)

10137+2699

c103

name 名前KTakahashi
date 日付December 6, 2014 18:15:01 UTC 2014 年 12 月 7 日 (日) 3 時 15 分 1 秒 (日本時間)
composite number 合成数
1754021389507839564870258974811009591623949457227926643519137333614894404097618378359046379316011978359<103>
prime factors 素因数
31637736120569648879828186534618081<35>
55440799645820478998774783958182501542231086991378928332757692497239<68>
factorization results 素因数分解の結果
Input number is 1754021389507839564870258974811009591623949457227926643519137333614894404097618378359046379316011978359 (103 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2328914735
Step 1 took 2715ms
Step 2 took 1747ms
********** Factor found in step 2: 31637736120569648879828186534618081
Found probable prime factor of 35 digits: 31637736120569648879828186534618081
Probable prime cofactor 55440799645820478998774783958182501542231086991378928332757692497239 has 68 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)

10143+2699

c124

name 名前Cyp
date 日付December 13, 2014 21:33:46 UTC 2014 年 12 月 14 日 (日) 6 時 33 分 46 秒 (日本時間)
composite number 合成数
9238111301636058006832745414454800899985863938259961711025816797122667214289878826739113473498447607308134979092226998608559<124>
prime factors 素因数
4863944431314815109127201427451262631434617913347575021<55>
1899304449730077162804903745969166002927656382234369177239171285603979<70>
factorization results 素因数分解の結果
12/13/14 21:36:23 v1.34.3, 
12/13/14 21:36:23 v1.34.3, ****************************
12/13/14 21:36:23 v1.34.3, Starting factorization of 9238111301636058006832745414454800899985863938259961711025816797122667214289878826739113473498447607308134979092226998608559
12/13/14 21:36:23 v1.34.3, using pretesting plan: none
12/13/14 21:36:23 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/13/14 21:36:23 v1.34.3, ****************************
12/13/14 21:36:23 v1.34.3, nfs: commencing nfs on c124: 9238111301636058006832745414454800899985863938259961711025816797122667214289878826739113473498447607308134979092226998608559
12/13/14 21:36:23 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/13/14 21:36:23 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/13/14 21:37:20 v1.34.3, nfs: commencing lattice sieving with 8 threads
[57 lines snipped]
12/13/14 22:28:18 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/13/14 22:29:16 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/13/14 22:30:12 v1.34.3, nfs: commencing msieve filtering
12/13/14 22:31:09 v1.34.3, nfs: commencing msieve linear algebra
12/13/14 22:33:23 v1.34.3, nfs: commencing msieve sqrt
12/13/14 22:33:45 v1.34.3, prp55 = 4863944431314815109127201427451262631434617913347575021
12/13/14 22:33:45 v1.34.3, prp70 = 1899304449730077162804903745969166002927656382234369177239171285603979
12/13/14 22:33:46 v1.34.3, NFS elapsed time = 3442.8012 seconds.
12/13/14 22:33:46 v1.34.3, 
12/13/14 22:33:46 v1.34.3, 
12/13/14 22:33:46 v1.34.3, Total factoring time = 3442.8018 seconds
--
Sat Dec 13 22:30:12 2014  
Sat Dec 13 22:30:12 2014  commencing relation filtering
Sat Dec 13 22:30:12 2014  estimated available RAM is 15987.3 MB
Sat Dec 13 22:30:12 2014  commencing duplicate removal, pass 1
Sat Dec 13 22:30:26 2014  found 663897 hash collisions in 4515864 relations
Sat Dec 13 22:30:30 2014  added 180677 free relations
Sat Dec 13 22:30:30 2014  commencing duplicate removal, pass 2
Sat Dec 13 22:30:34 2014  found 511597 duplicates and 4184944 unique relations
Sat Dec 13 22:30:34 2014  memory use: 20.6 MB
Sat Dec 13 22:30:34 2014  reading ideals above 100000
Sat Dec 13 22:30:34 2014  commencing singleton removal, initial pass
Sat Dec 13 22:30:55 2014  memory use: 94.1 MB
Sat Dec 13 22:30:55 2014  reading all ideals from disk
Sat Dec 13 22:30:55 2014  memory use: 133.6 MB
Sat Dec 13 22:30:55 2014  keeping 4584051 ideals with weight <= 200, target excess is 22144
Sat Dec 13 22:30:55 2014  commencing in-memory singleton removal
Sat Dec 13 22:30:55 2014  begin with 4184944 relations and 4584051 unique ideals
Sat Dec 13 22:30:57 2014  reduce to 1744046 relations and 1501467 ideals in 12 passes
Sat Dec 13 22:30:57 2014  max relations containing the same ideal: 119
Sat Dec 13 22:30:58 2014  removing 426690 relations and 318245 ideals in 108446 cliques
Sat Dec 13 22:30:58 2014  commencing in-memory singleton removal
Sat Dec 13 22:30:58 2014  begin with 1317356 relations and 1501467 unique ideals
Sat Dec 13 22:30:59 2014  reduce to 1241360 relations and 1101453 ideals in 8 passes
Sat Dec 13 22:30:59 2014  max relations containing the same ideal: 95
Sat Dec 13 22:30:59 2014  removing 351632 relations and 243186 ideals in 108446 cliques
Sat Dec 13 22:30:59 2014  commencing in-memory singleton removal
Sat Dec 13 22:30:59 2014  begin with 889728 relations and 1101453 unique ideals
Sat Dec 13 22:30:59 2014  reduce to 825367 relations and 788208 ideals in 7 passes
Sat Dec 13 22:30:59 2014  max relations containing the same ideal: 73
Sat Dec 13 22:30:59 2014  removing 58805 relations and 47334 ideals in 11471 cliques
Sat Dec 13 22:30:59 2014  commencing in-memory singleton removal
Sat Dec 13 22:30:59 2014  begin with 766562 relations and 788208 unique ideals
Sat Dec 13 22:31:00 2014  reduce to 763939 relations and 738222 ideals in 6 passes
Sat Dec 13 22:31:00 2014  max relations containing the same ideal: 66
Sat Dec 13 22:31:00 2014  relations with 0 large ideals: 523
Sat Dec 13 22:31:00 2014  relations with 1 large ideals: 192
Sat Dec 13 22:31:00 2014  relations with 2 large ideals: 2777
Sat Dec 13 22:31:00 2014  relations with 3 large ideals: 21379
Sat Dec 13 22:31:00 2014  relations with 4 large ideals: 82448
Sat Dec 13 22:31:00 2014  relations with 5 large ideals: 176942
Sat Dec 13 22:31:00 2014  relations with 6 large ideals: 228861
Sat Dec 13 22:31:00 2014  relations with 7+ large ideals: 250817
Sat Dec 13 22:31:00 2014  commencing 2-way merge
Sat Dec 13 22:31:00 2014  reduce to 479436 relation sets and 453719 unique ideals
Sat Dec 13 22:31:00 2014  commencing full merge
Sat Dec 13 22:31:06 2014  memory use: 60.4 MB
Sat Dec 13 22:31:06 2014  found 245193 cycles, need 241919
Sat Dec 13 22:31:06 2014  weight of 241919 cycles is about 17239847 (71.26/cycle)
Sat Dec 13 22:31:06 2014  distribution of cycle lengths:
Sat Dec 13 22:31:06 2014  1 relations: 17062
Sat Dec 13 22:31:06 2014  2 relations: 22126
Sat Dec 13 22:31:06 2014  3 relations: 25027
Sat Dec 13 22:31:06 2014  4 relations: 24504
Sat Dec 13 22:31:06 2014  5 relations: 23985
Sat Dec 13 22:31:06 2014  6 relations: 22342
Sat Dec 13 22:31:06 2014  7 relations: 20473
Sat Dec 13 22:31:06 2014  8 relations: 18136
Sat Dec 13 22:31:06 2014  9 relations: 15421
Sat Dec 13 22:31:06 2014  10+ relations: 52843
Sat Dec 13 22:31:06 2014  heaviest cycle: 21 relations
Sat Dec 13 22:31:06 2014  commencing cycle optimization
Sat Dec 13 22:31:07 2014  start with 1572137 relations
Sat Dec 13 22:31:08 2014  pruned 49411 relations
Sat Dec 13 22:31:08 2014  memory use: 47.8 MB
Sat Dec 13 22:31:08 2014  distribution of cycle lengths:
Sat Dec 13 22:31:08 2014  1 relations: 17062
Sat Dec 13 22:31:08 2014  2 relations: 22610
Sat Dec 13 22:31:08 2014  3 relations: 25874
Sat Dec 13 22:31:08 2014  4 relations: 25391
Sat Dec 13 22:31:08 2014  5 relations: 24987
Sat Dec 13 22:31:08 2014  6 relations: 22948
Sat Dec 13 22:31:08 2014  7 relations: 21154
Sat Dec 13 22:31:08 2014  8 relations: 18377
Sat Dec 13 22:31:08 2014  9 relations: 15674
Sat Dec 13 22:31:08 2014  10+ relations: 47842
Sat Dec 13 22:31:08 2014  heaviest cycle: 21 relations
Sat Dec 13 22:31:09 2014  RelProcTime: 57
Sat Dec 13 22:31:09 2014  
Sat Dec 13 22:31:09 2014  commencing linear algebra
Sat Dec 13 22:31:09 2014  read 241919 cycles
Sat Dec 13 22:31:09 2014  cycles contain 749566 unique relations
Sat Dec 13 22:31:14 2014  read 749566 relations
Sat Dec 13 22:31:14 2014  using 20 quadratic characters above 67106504
Sat Dec 13 22:31:17 2014  building initial matrix
Sat Dec 13 22:31:22 2014  memory use: 91.7 MB
Sat Dec 13 22:31:22 2014  read 241919 cycles
Sat Dec 13 22:31:22 2014  matrix is 241742 x 241919 (72.7 MB) with weight 21870561 (90.40/col)
Sat Dec 13 22:31:22 2014  sparse part has weight 16393992 (67.77/col)
Sat Dec 13 22:31:23 2014  filtering completed in 2 passes
Sat Dec 13 22:31:23 2014  matrix is 241712 x 241889 (72.7 MB) with weight 21869558 (90.41/col)
Sat Dec 13 22:31:23 2014  sparse part has weight 16393654 (67.77/col)
Sat Dec 13 22:31:24 2014  matrix starts at (0, 0)
Sat Dec 13 22:31:24 2014  matrix is 241712 x 241889 (72.7 MB) with weight 21869558 (90.41/col)
Sat Dec 13 22:31:24 2014  sparse part has weight 16393654 (67.77/col)
Sat Dec 13 22:31:24 2014  saving the first 48 matrix rows for later
Sat Dec 13 22:31:24 2014  matrix includes 64 packed rows
Sat Dec 13 22:31:24 2014  matrix is 241664 x 241889 (68.5 MB) with weight 17218203 (71.18/col)
Sat Dec 13 22:31:24 2014  sparse part has weight 15543136 (64.26/col)
Sat Dec 13 22:31:24 2014  using block size 65536 for processor cache size 8192 kB
Sat Dec 13 22:31:24 2014  commencing Lanczos iteration (8 threads)
Sat Dec 13 22:31:24 2014  memory use: 65.1 MB
Sat Dec 13 22:31:30 2014  linear algebra at 5.0%, ETA 0h 1m
Sat Dec 13 22:33:23 2014  lanczos halted after 3824 iterations (dim = 241664)
Sat Dec 13 22:33:23 2014  recovered 38 nontrivial dependencies
Sat Dec 13 22:33:23 2014  BLanczosTime: 134
Sat Dec 13 22:33:23 2014  
Sat Dec 13 22:33:23 2014  commencing square root phase
Sat Dec 13 22:33:23 2014  reading relations for dependency 1
Sat Dec 13 22:33:23 2014  read 120833 cycles
Sat Dec 13 22:33:23 2014  cycles contain 374620 unique relations
Sat Dec 13 22:33:27 2014  read 374620 relations
Sat Dec 13 22:33:28 2014  multiplying 374620 relations
Sat Dec 13 22:33:35 2014  multiply complete, coefficients have about 11.14 million bits
Sat Dec 13 22:33:35 2014  initial square root is modulo 2516681
Sat Dec 13 22:33:45 2014  sqrtTime: 22
--
n: 9238111301636058006832745414454800899985863938259961711025816797122667214289878826739113473498447607308134979092226998608559
m: 10000000000000000000000000000
deg: 5
c5: 1000
c0: 269
skew: 0.77
# Murphy_E = 2.076e-09
type: snfs
lss: 1
rlim: 1690000
alim: 1690000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
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
351e6904118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 6, 2014 19:23:40 UTC 2014 年 12 月 7 日 (日) 4 時 23 分 40 秒 (日本時間)

10144+2699

c118

name 名前Cyp
date 日付December 14, 2014 02:53:29 UTC 2014 年 12 月 14 日 (日) 11 時 53 分 29 秒 (日本時間)
composite number 合成数
1981852301217405493520596890774783643965657879421354685849603889267643341046708961738685390230270967643597606923134653<118>
prime factors 素因数
2391645323376088694991395813749374023132549787169447<52>
828656440755098189833391576146141972864010192699230657446295010299<66>
factorization results 素因数分解の結果
12/14/14 02:54:01 v1.34.3, 
12/14/14 02:54:01 v1.34.3, ****************************
12/14/14 02:54:01 v1.34.3, Starting factorization of 1981852301217405493520596890774783643965657879421354685849603889267643341046708961738685390230270967643597606923134653
12/14/14 02:54:01 v1.34.3, using pretesting plan: none
12/14/14 02:54:01 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/14/14 02:54:01 v1.34.3, ****************************
12/14/14 02:54:01 v1.34.3, nfs: commencing nfs on c118: 1981852301217405493520596890774783643965657879421354685849603889267643341046708961738685390230270967643597606923134653
12/14/14 02:54:01 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/14/14 02:54:01 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/14/14 02:54:44 v1.34.3, nfs: commencing lattice sieving with 8 threads
[70 lines snipped]
12/14/14 03:48:29 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/14/14 03:49:15 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/14/14 03:50:01 v1.34.3, nfs: commencing msieve filtering
12/14/14 03:50:48 v1.34.3, nfs: commencing msieve linear algebra
12/14/14 03:53:09 v1.34.3, nfs: commencing msieve sqrt
12/14/14 03:53:28 v1.34.3, prp66 = 828656440755098189833391576146141972864010192699230657446295010299
12/14/14 03:53:28 v1.34.3, prp52 = 2391645323376088694991395813749374023132549787169447
12/14/14 03:53:28 v1.34.3, NFS elapsed time = 3566.8170 seconds.
12/14/14 03:53:28 v1.34.3, 
12/14/14 03:53:28 v1.34.3, 
12/14/14 03:53:28 v1.34.3, Total factoring time = 3566.8175 seconds
--
Sun Dec 14 03:50:01 2014  
Sun Dec 14 03:50:01 2014  commencing relation filtering
Sun Dec 14 03:50:01 2014  estimated available RAM is 15987.3 MB
Sun Dec 14 03:50:01 2014  commencing duplicate removal, pass 1
Sun Dec 14 03:50:13 2014  found 689619 hash collisions in 4476980 relations
Sun Dec 14 03:50:17 2014  added 181020 free relations
Sun Dec 14 03:50:17 2014  commencing duplicate removal, pass 2
Sun Dec 14 03:50:20 2014  found 551970 duplicates and 4106030 unique relations
Sun Dec 14 03:50:20 2014  memory use: 20.6 MB
Sun Dec 14 03:50:20 2014  reading ideals above 100000
Sun Dec 14 03:50:20 2014  commencing singleton removal, initial pass
Sun Dec 14 03:50:36 2014  memory use: 94.1 MB
Sun Dec 14 03:50:36 2014  reading all ideals from disk
Sun Dec 14 03:50:37 2014  memory use: 132.9 MB
Sun Dec 14 03:50:37 2014  keeping 4632248 ideals with weight <= 200, target excess is 21750
Sun Dec 14 03:50:37 2014  commencing in-memory singleton removal
Sun Dec 14 03:50:37 2014  begin with 4106030 relations and 4632248 unique ideals
Sun Dec 14 03:50:38 2014  reduce to 1587686 relations and 1450902 ideals in 14 passes
Sun Dec 14 03:50:38 2014  max relations containing the same ideal: 102
Sun Dec 14 03:50:38 2014  removing 297317 relations and 241540 ideals in 55777 cliques
Sun Dec 14 03:50:38 2014  commencing in-memory singleton removal
Sun Dec 14 03:50:38 2014  begin with 1290369 relations and 1450902 unique ideals
Sun Dec 14 03:50:38 2014  reduce to 1247684 relations and 1164821 ideals in 7 passes
Sun Dec 14 03:50:38 2014  max relations containing the same ideal: 88
Sun Dec 14 03:50:39 2014  removing 234724 relations and 178947 ideals in 55777 cliques
Sun Dec 14 03:50:39 2014  commencing in-memory singleton removal
Sun Dec 14 03:50:39 2014  begin with 1012960 relations and 1164821 unique ideals
Sun Dec 14 03:50:39 2014  reduce to 980851 relations and 952361 ideals in 8 passes
Sun Dec 14 03:50:39 2014  max relations containing the same ideal: 73
Sun Dec 14 03:50:39 2014  relations with 0 large ideals: 516
Sun Dec 14 03:50:39 2014  relations with 1 large ideals: 144
Sun Dec 14 03:50:39 2014  relations with 2 large ideals: 2180
Sun Dec 14 03:50:39 2014  relations with 3 large ideals: 18321
Sun Dec 14 03:50:39 2014  relations with 4 large ideals: 78818
Sun Dec 14 03:50:39 2014  relations with 5 large ideals: 195479
Sun Dec 14 03:50:39 2014  relations with 6 large ideals: 292599
Sun Dec 14 03:50:39 2014  relations with 7+ large ideals: 392794
Sun Dec 14 03:50:39 2014  commencing 2-way merge
Sun Dec 14 03:50:39 2014  reduce to 602524 relation sets and 574034 unique ideals
Sun Dec 14 03:50:39 2014  commencing full merge
Sun Dec 14 03:50:46 2014  memory use: 76.5 MB
Sun Dec 14 03:50:46 2014  found 302189 cycles, need 296234
Sun Dec 14 03:50:46 2014  weight of 296234 cycles is about 21030800 (70.99/cycle)
Sun Dec 14 03:50:46 2014  distribution of cycle lengths:
Sun Dec 14 03:50:46 2014  1 relations: 24428
Sun Dec 14 03:50:46 2014  2 relations: 29449
Sun Dec 14 03:50:46 2014  3 relations: 30533
Sun Dec 14 03:50:46 2014  4 relations: 29505
Sun Dec 14 03:50:46 2014  5 relations: 28118
Sun Dec 14 03:50:46 2014  6 relations: 25296
Sun Dec 14 03:50:46 2014  7 relations: 23053
Sun Dec 14 03:50:46 2014  8 relations: 20147
Sun Dec 14 03:50:46 2014  9 relations: 17493
Sun Dec 14 03:50:46 2014  10+ relations: 68212
Sun Dec 14 03:50:46 2014  heaviest cycle: 21 relations
Sun Dec 14 03:50:46 2014  commencing cycle optimization
Sun Dec 14 03:50:46 2014  start with 1934711 relations
Sun Dec 14 03:50:48 2014  pruned 57740 relations
Sun Dec 14 03:50:48 2014  memory use: 59.6 MB
Sun Dec 14 03:50:48 2014  distribution of cycle lengths:
Sun Dec 14 03:50:48 2014  1 relations: 24428
Sun Dec 14 03:50:48 2014  2 relations: 30038
Sun Dec 14 03:50:48 2014  3 relations: 31645
Sun Dec 14 03:50:48 2014  4 relations: 30517
Sun Dec 14 03:50:48 2014  5 relations: 28988
Sun Dec 14 03:50:48 2014  6 relations: 25904
Sun Dec 14 03:50:48 2014  7 relations: 23642
Sun Dec 14 03:50:48 2014  8 relations: 20497
Sun Dec 14 03:50:48 2014  9 relations: 17756
Sun Dec 14 03:50:48 2014  10+ relations: 62819
Sun Dec 14 03:50:48 2014  heaviest cycle: 21 relations
Sun Dec 14 03:50:48 2014  RelProcTime: 47
Sun Dec 14 03:50:48 2014  
Sun Dec 14 03:50:48 2014  commencing linear algebra
Sun Dec 14 03:50:48 2014  read 296234 cycles
Sun Dec 14 03:50:48 2014  cycles contain 945358 unique relations
Sun Dec 14 03:50:53 2014  read 945358 relations
Sun Dec 14 03:50:53 2014  using 20 quadratic characters above 67107978
Sun Dec 14 03:50:56 2014  building initial matrix
Sun Dec 14 03:51:01 2014  memory use: 111.2 MB
Sun Dec 14 03:51:01 2014  read 296234 cycles
Sun Dec 14 03:51:01 2014  matrix is 296085 x 296234 (88.9 MB) with weight 26325065 (88.87/col)
Sun Dec 14 03:51:01 2014  sparse part has weight 20041828 (67.66/col)
Sun Dec 14 03:51:02 2014  filtering completed in 2 passes
Sun Dec 14 03:51:02 2014  matrix is 295922 x 296090 (88.9 MB) with weight 26319248 (88.89/col)
Sun Dec 14 03:51:02 2014  sparse part has weight 20039113 (67.68/col)
Sun Dec 14 03:51:02 2014  matrix starts at (0, 0)
Sun Dec 14 03:51:02 2014  matrix is 295922 x 296090 (88.9 MB) with weight 26319248 (88.89/col)
Sun Dec 14 03:51:02 2014  sparse part has weight 20039113 (67.68/col)
Sun Dec 14 03:51:02 2014  saving the first 48 matrix rows for later
Sun Dec 14 03:51:02 2014  matrix includes 64 packed rows
Sun Dec 14 03:51:02 2014  matrix is 295874 x 296090 (83.6 MB) with weight 20820954 (70.32/col)
Sun Dec 14 03:51:02 2014  sparse part has weight 18953235 (64.01/col)
Sun Dec 14 03:51:02 2014  using block size 65536 for processor cache size 8192 kB
Sun Dec 14 03:51:03 2014  commencing Lanczos iteration (8 threads)
Sun Dec 14 03:51:03 2014  memory use: 80.4 MB
Sun Dec 14 03:51:08 2014  linear algebra at 4.1%, ETA 0h 1m
Sun Dec 14 03:53:09 2014  lanczos halted after 4681 iterations (dim = 295866)
Sun Dec 14 03:53:09 2014  recovered 35 nontrivial dependencies
Sun Dec 14 03:53:09 2014  BLanczosTime: 141
Sun Dec 14 03:53:09 2014  
Sun Dec 14 03:53:09 2014  commencing square root phase
Sun Dec 14 03:53:09 2014  reading relations for dependency 1
Sun Dec 14 03:53:09 2014  read 148362 cycles
Sun Dec 14 03:53:09 2014  cycles contain 473628 unique relations
Sun Dec 14 03:53:13 2014  read 473628 relations
Sun Dec 14 03:53:14 2014  multiplying 473628 relations
Sun Dec 14 03:53:20 2014  multiply complete, coefficients have about 11.70 million bits
Sun Dec 14 03:53:20 2014  initial square root is modulo 5282821
Sun Dec 14 03:53:28 2014  sqrtTime: 19
--
n: 1981852301217405493520596890774783643965657879421354685849603889267643341046708961738685390230270967643597606923134653
m: 50000000000000000000000000000
deg: 5
c5: 16
c0: 1345
skew: 2.43
# Murphy_E = 1.713e-09
type: snfs
lss: 1
rlim: 1810000
alim: 1810000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
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
351e6904118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 6, 2014 19:23:55 UTC 2014 年 12 月 7 日 (日) 4 時 23 分 55 秒 (日本時間)
403e60 / 1586--
4511e6150 / 4439Pierre JammesDecember 12, 2014 12:52:05 UTC 2014 年 12 月 12 日 (金) 21 時 52 分 5 秒 (日本時間)

10145+2699

c99

name 名前KTakahashi
date 日付December 6, 2014 19:26:14 UTC 2014 年 12 月 7 日 (日) 4 時 26 分 14 秒 (日本時間)
composite number 合成数
976127338955862927609911908426991654198193981141626256950027902637259084067674755175718123327197353<99>
prime factors 素因数
419817081483792798914820483228069829<36>
2325125351035881329955839467644753625192078110182349230899799957<64>
factorization results 素因数分解の結果
Number: 11141_145
N=976127338955862927609911908426991654198193981141626256950027902637259084067674755175718123327197353
  ( 99 digits)
Divisors found:
 r1=419817081483792798914820483228069829 (pp36)
 r2=2325125351035881329955839467644753625192078110182349230899799957 (pp64)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 5.66 hours.
Scaled time: 11.71 units (timescale=2.068).
Factorization parameters were as follows:
name: 11141_145
n: 976127338955862927609911908426991654198193981141626256950027902637259084067674755175718123327197353
skew: 5103.10
# norm 6.83e+013
c5: 172320
c4: -767139218
c3: -8050311038515
c2: 13349261886908175
c1: 84238035653051359795
c0: -672288386138544692797
# alpha -5.78
Y1: 16042942111
Y0: -5631644859400626900
# Murphy_E 3.80e-009
# M 236194978630798027820880066818049613728313707940124525979443127310522741183082603794343696454530825
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 182666 x 182894
Polynomial selection time: 0.33 hours.
Total sieving time: 5.18 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,98,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 5.66 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
351e6904118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 6, 2014 19:25:47 UTC 2014 年 12 月 7 日 (日) 4 時 25 分 47 秒 (日本時間)

10151+2699

c149

name 名前Dmitry Domanov
date 日付December 9, 2014 00:54:35 UTC 2014 年 12 月 9 日 (火) 9 時 54 分 35 秒 (日本時間)
composite number 合成数
35842293906810035842293906810035842293906810035842293906810035842293906810035842293906810035842293906810035842293906810035842293906810035842293906811<149>
prime factors 素因数
1369187875481257191500576115006745116157831889201465250101835601<64>
26177776292542608693503429649018435193598228246469528278137611093638552063904224595211<86>
factorization results 素因数分解の結果
N=35842293906810035842293906810035842293906810035842293906810035842293906810035842293906810035842293906810035842293906810035842293906810035842293906811
  ( 149 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=1369187875481257191500576115006745116157831889201465250101835601 (pp64)
 r2=26177776292542608693503429649018435193598228246469528278137611093638552063904224595211 (pp86)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 9.12 hours.
Scaled time: 19.51 units (timescale=2.139).
Factorization parameters were as follows:
n: 35842293906810035842293906810035842293906810035842293906810035842293906810035842293906810035842293906810035842293906810035842293906810035842293906811
m: 1000000000000000000000000000000
deg: 5
c5: 10
c0: 269
skew: 1.93
# Murphy_E = 1.195e-09
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1150000, 1850001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 423147 x 423372
Total sieving time: 8.86 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,151.000,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 9.12 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 19:27:19 UTC 2014 年 12 月 9 日 (火) 4 時 27 分 19 秒 (日本時間)

10152+2699

c125

name 名前Dmitry Domanov
date 日付December 19, 2014 12:13:57 UTC 2014 年 12 月 19 日 (金) 21 時 13 分 57 秒 (日本時間)
composite number 合成数
79184127860974741144714510844552006797623857092250751273072692561279039223654633111946230844570158056050353724009778137093259<125>
prime factors 素因数
112321613594607255573375076241948179357<39>
704976765618478442766990534394302648361916334453829940614811853152229523730111147375687<87>
factorization results 素因数分解の結果
N=79184127860974741144714510844552006797623857092250751273072692561279039223654633111946230844570158056050353724009778137093259
  ( 125 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=112321613594607255573375076241948179357 (pp39)
 r2=704976765618478442766990534394302648361916334453829940614811853152229523730111147375687 (pp87)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 13.39 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 79184127860974741144714510844552006797623857092250751273072692561279039223654633111946230844570158056050353724009778137093259
m: 1000000000000000000000000000000
deg: 5
c5: 100
c0: 269
skew: 1.22
# Murphy_E = 9.854e-10
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1200000, 2000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 516635 x 516883
Total sieving time: 13.00 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.26 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,152.000,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,50,50,2.4,2.4,100000
total time: 13.39 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)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:46:11 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 11 秒 (日本時間)

10160+2699

c149

name 名前Cyp
date 日付December 15, 2014 19:56:03 UTC 2014 年 12 月 16 日 (火) 4 時 56 分 3 秒 (日本時間)
composite number 合成数
13019451714253997258283556638110081546359001826146492606759762398608280531429261238546149538964418989484725143746224450863235342178457174051867381117<149>
prime factors 素因数
82263183231548246536448508711800964436965832777532699987939129606441<68>
158265839015830687557374498640073949624085424433091749113417619129171610243190837<81>
factorization results 素因数分解の結果
12/15/14 18:17:14 v1.34.3, 
12/15/14 18:17:14 v1.34.3, ****************************
12/15/14 18:17:14 v1.34.3, Starting factorization of 13019451714253997258283556638110081546359001826146492606759762398608280531429261238546149538964418989484725143746224450863235342178457174051867381117
12/15/14 18:17:14 v1.34.3, using pretesting plan: none
12/15/14 18:17:14 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/15/14 18:17:14 v1.34.3, ****************************
12/15/14 18:17:14 v1.34.3, nfs: commencing nfs on c149: 13019451714253997258283556638110081546359001826146492606759762398608280531429261238546149538964418989484725143746224450863235342178457174051867381117
12/15/14 18:17:14 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/15/14 18:17:14 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/15/14 18:21:50 v1.34.3, nfs: commencing lattice sieving with 8 threads
[29 lines snipped]
12/15/14 20:38:35 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/15/14 20:43:05 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/15/14 20:47:40 v1.34.3, nfs: commencing msieve filtering
12/15/14 20:49:27 v1.34.3, nfs: commencing msieve linear algebra
12/15/14 20:55:29 v1.34.3, nfs: commencing msieve sqrt
12/15/14 20:56:02 v1.34.3, prp68 = 82263183231548246536448508711800964436965832777532699987939129606441
12/15/14 20:56:02 v1.34.3, prp81 = 158265839015830687557374498640073949624085424433091749113417619129171610243190837
12/15/14 20:56:02 v1.34.3, NFS elapsed time = 9527.8660 seconds.
12/15/14 20:56:02 v1.34.3, 
12/15/14 20:56:02 v1.34.3, 
12/15/14 20:56:02 v1.34.3, Total factoring time = 9527.8669 seconds
--
Mon Dec 15 20:47:40 2014  
Mon Dec 15 20:47:40 2014  commencing relation filtering
Mon Dec 15 20:47:40 2014  estimated available RAM is 15987.3 MB
Mon Dec 15 20:47:40 2014  commencing duplicate removal, pass 1
Mon Dec 15 20:48:07 2014  found 1222074 hash collisions in 10087917 relations
Mon Dec 15 20:48:16 2014  added 366589 free relations
Mon Dec 15 20:48:16 2014  commencing duplicate removal, pass 2
Mon Dec 15 20:48:24 2014  found 725769 duplicates and 9728737 unique relations
Mon Dec 15 20:48:24 2014  memory use: 41.3 MB
Mon Dec 15 20:48:24 2014  reading ideals above 100000
Mon Dec 15 20:48:24 2014  commencing singleton removal, initial pass
Mon Dec 15 20:49:05 2014  memory use: 344.5 MB
Mon Dec 15 20:49:05 2014  reading all ideals from disk
Mon Dec 15 20:49:05 2014  memory use: 338.7 MB
Mon Dec 15 20:49:06 2014  keeping 10210412 ideals with weight <= 200, target excess is 50634
Mon Dec 15 20:49:06 2014  commencing in-memory singleton removal
Mon Dec 15 20:49:06 2014  begin with 9728737 relations and 10210412 unique ideals
Mon Dec 15 20:49:10 2014  reduce to 4444286 relations and 3780898 ideals in 15 passes
Mon Dec 15 20:49:10 2014  max relations containing the same ideal: 121
Mon Dec 15 20:49:11 2014  removing 1195758 relations and 893432 ideals in 302326 cliques
Mon Dec 15 20:49:11 2014  commencing in-memory singleton removal
Mon Dec 15 20:49:11 2014  begin with 3248528 relations and 3780898 unique ideals
Mon Dec 15 20:49:12 2014  reduce to 3001338 relations and 2618790 ideals in 9 passes
Mon Dec 15 20:49:12 2014  max relations containing the same ideal: 92
Mon Dec 15 20:49:13 2014  removing 978200 relations and 675874 ideals in 302326 cliques
Mon Dec 15 20:49:13 2014  commencing in-memory singleton removal
Mon Dec 15 20:49:13 2014  begin with 2023138 relations and 2618790 unique ideals
Mon Dec 15 20:49:14 2014  reduce to 1799041 relations and 1695475 ideals in 11 passes
Mon Dec 15 20:49:14 2014  max relations containing the same ideal: 66
Mon Dec 15 20:49:14 2014  removing 226964 relations and 182134 ideals in 44830 cliques
Mon Dec 15 20:49:14 2014  commencing in-memory singleton removal
Mon Dec 15 20:49:15 2014  begin with 1572077 relations and 1695475 unique ideals
Mon Dec 15 20:49:15 2014  reduce to 1550675 relations and 1491419 ideals in 7 passes
Mon Dec 15 20:49:15 2014  max relations containing the same ideal: 59
Mon Dec 15 20:49:15 2014  relations with 0 large ideals: 1156
Mon Dec 15 20:49:15 2014  relations with 1 large ideals: 545
Mon Dec 15 20:49:15 2014  relations with 2 large ideals: 8225
Mon Dec 15 20:49:15 2014  relations with 3 large ideals: 56251
Mon Dec 15 20:49:15 2014  relations with 4 large ideals: 196723
Mon Dec 15 20:49:15 2014  relations with 5 large ideals: 387330
Mon Dec 15 20:49:15 2014  relations with 6 large ideals: 457918
Mon Dec 15 20:49:15 2014  relations with 7+ large ideals: 442527
Mon Dec 15 20:49:15 2014  commencing 2-way merge
Mon Dec 15 20:49:16 2014  reduce to 923828 relation sets and 864571 unique ideals
Mon Dec 15 20:49:16 2014  commencing full merge
Mon Dec 15 20:49:24 2014  memory use: 108.7 MB
Mon Dec 15 20:49:24 2014  found 470898 cycles, need 462771
Mon Dec 15 20:49:24 2014  weight of 462771 cycles is about 32598227 (70.44/cycle)
Mon Dec 15 20:49:24 2014  distribution of cycle lengths:
Mon Dec 15 20:49:24 2014  1 relations: 46980
Mon Dec 15 20:49:24 2014  2 relations: 46112
Mon Dec 15 20:49:24 2014  3 relations: 47806
Mon Dec 15 20:49:24 2014  4 relations: 47693
Mon Dec 15 20:49:24 2014  5 relations: 45493
Mon Dec 15 20:49:24 2014  6 relations: 42279
Mon Dec 15 20:49:24 2014  7 relations: 37744
Mon Dec 15 20:49:24 2014  8 relations: 32577
Mon Dec 15 20:49:24 2014  9 relations: 27538
Mon Dec 15 20:49:24 2014  10+ relations: 88549
Mon Dec 15 20:49:24 2014  heaviest cycle: 21 relations
Mon Dec 15 20:49:24 2014  commencing cycle optimization
Mon Dec 15 20:49:24 2014  start with 2809874 relations
Mon Dec 15 20:49:27 2014  pruned 72155 relations
Mon Dec 15 20:49:27 2014  memory use: 91.5 MB
Mon Dec 15 20:49:27 2014  distribution of cycle lengths:
Mon Dec 15 20:49:27 2014  1 relations: 46980
Mon Dec 15 20:49:27 2014  2 relations: 47045
Mon Dec 15 20:49:27 2014  3 relations: 49410
Mon Dec 15 20:49:27 2014  4 relations: 48937
Mon Dec 15 20:49:27 2014  5 relations: 46820
Mon Dec 15 20:49:27 2014  6 relations: 43414
Mon Dec 15 20:49:27 2014  7 relations: 38648
Mon Dec 15 20:49:27 2014  8 relations: 32799
Mon Dec 15 20:49:27 2014  9 relations: 27486
Mon Dec 15 20:49:27 2014  10+ relations: 81232
Mon Dec 15 20:49:27 2014  heaviest cycle: 21 relations
Mon Dec 15 20:49:27 2014  RelProcTime: 107
Mon Dec 15 20:49:27 2014  
Mon Dec 15 20:49:27 2014  commencing linear algebra
Mon Dec 15 20:49:27 2014  read 462771 cycles
Mon Dec 15 20:49:28 2014  cycles contain 1505205 unique relations
Mon Dec 15 20:49:37 2014  read 1505205 relations
Mon Dec 15 20:49:38 2014  using 20 quadratic characters above 134215590
Mon Dec 15 20:49:43 2014  building initial matrix
Mon Dec 15 20:49:50 2014  memory use: 183.7 MB
Mon Dec 15 20:49:50 2014  read 462771 cycles
Mon Dec 15 20:49:50 2014  matrix is 462593 x 462771 (138.6 MB) with weight 41101290 (88.82/col)
Mon Dec 15 20:49:50 2014  sparse part has weight 31248973 (67.53/col)
Mon Dec 15 20:49:52 2014  filtering completed in 2 passes
Mon Dec 15 20:49:52 2014  matrix is 462318 x 462496 (138.6 MB) with weight 41092184 (88.85/col)
Mon Dec 15 20:49:52 2014  sparse part has weight 31245730 (67.56/col)
Mon Dec 15 20:49:53 2014  matrix starts at (0, 0)
Mon Dec 15 20:49:53 2014  matrix is 462318 x 462496 (138.6 MB) with weight 41092184 (88.85/col)
Mon Dec 15 20:49:53 2014  sparse part has weight 31245730 (67.56/col)
Mon Dec 15 20:49:53 2014  saving the first 48 matrix rows for later
Mon Dec 15 20:49:53 2014  matrix includes 64 packed rows
Mon Dec 15 20:49:53 2014  matrix is 462270 x 462496 (130.5 MB) with weight 32388118 (70.03/col)
Mon Dec 15 20:49:53 2014  sparse part has weight 29584365 (63.97/col)
Mon Dec 15 20:49:53 2014  using block size 65536 for processor cache size 8192 kB
Mon Dec 15 20:49:54 2014  commencing Lanczos iteration (8 threads)
Mon Dec 15 20:49:54 2014  memory use: 126.2 MB
Mon Dec 15 20:50:03 2014  linear algebra at 2.6%, ETA 0h 5m
Mon Dec 15 20:55:29 2014  lanczos halted after 7311 iterations (dim = 462266)
Mon Dec 15 20:55:29 2014  recovered 33 nontrivial dependencies
Mon Dec 15 20:55:29 2014  BLanczosTime: 362
Mon Dec 15 20:55:29 2014  
Mon Dec 15 20:55:29 2014  commencing square root phase
Mon Dec 15 20:55:29 2014  reading relations for dependency 1
Mon Dec 15 20:55:29 2014  read 230895 cycles
Mon Dec 15 20:55:29 2014  cycles contain 751428 unique relations
Mon Dec 15 20:55:37 2014  read 751428 relations
Mon Dec 15 20:55:39 2014  multiplying 751428 relations
Mon Dec 15 20:55:49 2014  multiply complete, coefficients have about 16.62 million bits
Mon Dec 15 20:55:49 2014  initial square root is modulo 59671
Mon Dec 15 20:56:02 2014  sqrtTime: 33
--
n: 13019451714253997258283556638110081546359001826146492606759762398608280531429261238546149538964418989484725143746224450863235342178457174051867381117
m: 100000000000000000000000000000000
deg: 5
c5: 1
c0: 269
skew: 3.06
# Murphy_E = 6.274e-10
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
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 19:46:11 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 11 秒 (日本時間)

10161+2699

c150

name 名前Cyp
date 日付December 15, 2014 10:10:19 UTC 2014 年 12 月 15 日 (月) 19 時 10 分 19 秒 (日本時間)
composite number 合成数
266138991710403550220818543563442193105727678099559422287646066609853112219079728831104515395186254771028158030710605621038115128329107218057453820291<150>
prime factors 素因数
8698860183781045771250843556621189989<37>
30594697016353652950016005846762861735512424575491153747947922948851712988562996533645121440800895433865300344519<113>
factorization results 素因数分解の結果
12/15/14 08:01:01 v1.34.3, 
12/15/14 08:01:01 v1.34.3, ****************************
12/15/14 08:01:01 v1.34.3, Starting factorization of 266138991710403550220818543563442193105727678099559422287646066609853112219079728831104515395186254771028158030710605621038115128329107218057453820291
12/15/14 08:01:01 v1.34.3, using pretesting plan: none
12/15/14 08:01:01 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/15/14 08:01:01 v1.34.3, ****************************
12/15/14 08:01:01 v1.34.3, nfs: commencing nfs on c150: 266138991710403550220818543563442193105727678099559422287646066609853112219079728831104515395186254771028158030710605621038115128329107218057453820291
12/15/14 08:01:01 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/15/14 08:01:01 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/15/14 08:05:17 v1.34.3, nfs: commencing lattice sieving with 8 threads
[36 lines snipped]
12/15/14 10:51:00 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/15/14 10:55:34 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/15/14 11:00:04 v1.34.3, nfs: commencing msieve filtering
12/15/14 11:01:54 v1.34.3, nfs: commencing msieve linear algebra
12/15/14 11:08:57 v1.34.3, nfs: commencing msieve sqrt
12/15/14 11:10:18 v1.34.3, prp113 = 30594697016353652950016005846762861735512424575491153747947922948851712988562996533645121440800895433865300344519
12/15/14 11:10:18 v1.34.3, prp37 = 8698860183781045771250843556621189989
12/15/14 11:10:18 v1.34.3, NFS elapsed time = 11357.0504 seconds.
12/15/14 11:10:18 v1.34.3, 
12/15/14 11:10:18 v1.34.3, 
12/15/14 11:10:18 v1.34.3, Total factoring time = 11357.0514 seconds
--
Mon Dec 15 11:00:04 2014  
Mon Dec 15 11:00:04 2014  commencing relation filtering
Mon Dec 15 11:00:04 2014  estimated available RAM is 15987.3 MB
Mon Dec 15 11:00:04 2014  commencing duplicate removal, pass 1
Mon Dec 15 11:00:31 2014  found 1293845 hash collisions in 10186064 relations
Mon Dec 15 11:00:40 2014  added 365924 free relations
Mon Dec 15 11:00:40 2014  commencing duplicate removal, pass 2
Mon Dec 15 11:00:48 2014  found 808583 duplicates and 9743405 unique relations
Mon Dec 15 11:00:48 2014  memory use: 41.3 MB
Mon Dec 15 11:00:48 2014  reading ideals above 100000
Mon Dec 15 11:00:48 2014  commencing singleton removal, initial pass
Mon Dec 15 11:01:30 2014  memory use: 344.5 MB
Mon Dec 15 11:01:30 2014  reading all ideals from disk
Mon Dec 15 11:01:30 2014  memory use: 342.8 MB
Mon Dec 15 11:01:31 2014  keeping 10283682 ideals with weight <= 200, target excess is 51225
Mon Dec 15 11:01:31 2014  commencing in-memory singleton removal
Mon Dec 15 11:01:32 2014  begin with 9743405 relations and 10283682 unique ideals
Mon Dec 15 11:01:35 2014  reduce to 4430374 relations and 3826587 ideals in 14 passes
Mon Dec 15 11:01:35 2014  max relations containing the same ideal: 120
Mon Dec 15 11:01:36 2014  removing 1135225 relations and 863042 ideals in 272183 cliques
Mon Dec 15 11:01:36 2014  commencing in-memory singleton removal
Mon Dec 15 11:01:36 2014  begin with 3295149 relations and 3826587 unique ideals
Mon Dec 15 11:01:37 2014  reduce to 3064049 relations and 2714398 ideals in 10 passes
Mon Dec 15 11:01:37 2014  max relations containing the same ideal: 95
Mon Dec 15 11:01:38 2014  removing 924755 relations and 652572 ideals in 272183 cliques
Mon Dec 15 11:01:38 2014  commencing in-memory singleton removal
Mon Dec 15 11:01:38 2014  begin with 2139294 relations and 2714398 unique ideals
Mon Dec 15 11:01:39 2014  reduce to 1934747 relations and 1838282 ideals in 9 passes
Mon Dec 15 11:01:39 2014  max relations containing the same ideal: 68
Mon Dec 15 11:01:40 2014  removing 202353 relations and 165309 ideals in 37044 cliques
Mon Dec 15 11:01:40 2014  commencing in-memory singleton removal
Mon Dec 15 11:01:40 2014  begin with 1732394 relations and 1838282 unique ideals
Mon Dec 15 11:01:40 2014  reduce to 1717490 relations and 1657775 ideals in 7 passes
Mon Dec 15 11:01:40 2014  max relations containing the same ideal: 62
Mon Dec 15 11:01:41 2014  relations with 0 large ideals: 1198
Mon Dec 15 11:01:41 2014  relations with 1 large ideals: 444
Mon Dec 15 11:01:41 2014  relations with 2 large ideals: 7317
Mon Dec 15 11:01:41 2014  relations with 3 large ideals: 52731
Mon Dec 15 11:01:41 2014  relations with 4 large ideals: 195135
Mon Dec 15 11:01:41 2014  relations with 5 large ideals: 406579
Mon Dec 15 11:01:41 2014  relations with 6 large ideals: 512389
Mon Dec 15 11:01:41 2014  relations with 7+ large ideals: 541697
Mon Dec 15 11:01:41 2014  commencing 2-way merge
Mon Dec 15 11:01:41 2014  reduce to 1026840 relation sets and 967125 unique ideals
Mon Dec 15 11:01:41 2014  commencing full merge
Mon Dec 15 11:01:50 2014  memory use: 122.9 MB
Mon Dec 15 11:01:50 2014  found 521356 cycles, need 513325
Mon Dec 15 11:01:50 2014  weight of 513325 cycles is about 36169441 (70.46/cycle)
Mon Dec 15 11:01:50 2014  distribution of cycle lengths:
Mon Dec 15 11:01:50 2014  1 relations: 53350
Mon Dec 15 11:01:50 2014  2 relations: 51086
Mon Dec 15 11:01:50 2014  3 relations: 51943
Mon Dec 15 11:01:50 2014  4 relations: 51847
Mon Dec 15 11:01:50 2014  5 relations: 49415
Mon Dec 15 11:01:50 2014  6 relations: 45895
Mon Dec 15 11:01:50 2014  7 relations: 41067
Mon Dec 15 11:01:50 2014  8 relations: 36008
Mon Dec 15 11:01:50 2014  9 relations: 30607
Mon Dec 15 11:01:50 2014  10+ relations: 102107
Mon Dec 15 11:01:50 2014  heaviest cycle: 21 relations
Mon Dec 15 11:01:51 2014  commencing cycle optimization
Mon Dec 15 11:01:51 2014  start with 3152160 relations
Mon Dec 15 11:01:54 2014  pruned 80781 relations
Mon Dec 15 11:01:54 2014  memory use: 101.9 MB
Mon Dec 15 11:01:54 2014  distribution of cycle lengths:
Mon Dec 15 11:01:54 2014  1 relations: 53350
Mon Dec 15 11:01:54 2014  2 relations: 52078
Mon Dec 15 11:01:54 2014  3 relations: 53615
Mon Dec 15 11:01:54 2014  4 relations: 53177
Mon Dec 15 11:01:54 2014  5 relations: 50969
Mon Dec 15 11:01:54 2014  6 relations: 47049
Mon Dec 15 11:01:54 2014  7 relations: 42055
Mon Dec 15 11:01:54 2014  8 relations: 36457
Mon Dec 15 11:01:54 2014  9 relations: 30653
Mon Dec 15 11:01:54 2014  10+ relations: 93922
Mon Dec 15 11:01:54 2014  heaviest cycle: 21 relations
Mon Dec 15 11:01:54 2014  RelProcTime: 110
Mon Dec 15 11:01:54 2014  
Mon Dec 15 11:01:54 2014  commencing linear algebra
Mon Dec 15 11:01:54 2014  read 513325 cycles
Mon Dec 15 11:01:55 2014  cycles contain 1673565 unique relations
Mon Dec 15 11:02:05 2014  read 1673565 relations
Mon Dec 15 11:02:06 2014  using 20 quadratic characters above 134216934
Mon Dec 15 11:02:11 2014  building initial matrix
Mon Dec 15 11:02:19 2014  memory use: 205.0 MB
Mon Dec 15 11:02:19 2014  read 513325 cycles
Mon Dec 15 11:02:19 2014  matrix is 513148 x 513325 (153.9 MB) with weight 46505995 (90.60/col)
Mon Dec 15 11:02:19 2014  sparse part has weight 34695119 (67.59/col)
Mon Dec 15 11:02:21 2014  filtering completed in 2 passes
Mon Dec 15 11:02:21 2014  matrix is 512942 x 513119 (153.9 MB) with weight 46498388 (90.62/col)
Mon Dec 15 11:02:21 2014  sparse part has weight 34692203 (67.61/col)
Mon Dec 15 11:02:22 2014  matrix starts at (0, 0)
Mon Dec 15 11:02:22 2014  matrix is 512942 x 513119 (153.9 MB) with weight 46498388 (90.62/col)
Mon Dec 15 11:02:22 2014  sparse part has weight 34692203 (67.61/col)
Mon Dec 15 11:02:22 2014  saving the first 48 matrix rows for later
Mon Dec 15 11:02:22 2014  matrix includes 64 packed rows
Mon Dec 15 11:02:22 2014  matrix is 512894 x 513119 (146.2 MB) with weight 36759517 (71.64/col)
Mon Dec 15 11:02:22 2014  sparse part has weight 33197307 (64.70/col)
Mon Dec 15 11:02:22 2014  using block size 65536 for processor cache size 8192 kB
Mon Dec 15 11:02:23 2014  commencing Lanczos iteration (8 threads)
Mon Dec 15 11:02:23 2014  memory use: 141.8 MB
Mon Dec 15 11:02:26 2014  linear algebra at 0.6%, ETA 0h 8m
Mon Dec 15 11:08:56 2014  lanczos halted after 8113 iterations (dim = 512892)
Mon Dec 15 11:08:57 2014  recovered 36 nontrivial dependencies
Mon Dec 15 11:08:57 2014  BLanczosTime: 423
Mon Dec 15 11:08:57 2014  
Mon Dec 15 11:08:57 2014  commencing square root phase
Mon Dec 15 11:08:57 2014  reading relations for dependency 1
Mon Dec 15 11:08:57 2014  read 256801 cycles
Mon Dec 15 11:08:57 2014  cycles contain 837866 unique relations
Mon Dec 15 11:09:05 2014  read 837866 relations
Mon Dec 15 11:09:07 2014  multiplying 837866 relations
Mon Dec 15 11:09:20 2014  multiply complete, coefficients have about 21.11 million bits
Mon Dec 15 11:09:20 2014  initial square root is modulo 1158761
Mon Dec 15 11:09:37 2014  GCD is 1, no factor found
Mon Dec 15 11:09:37 2014  reading relations for dependency 2
Mon Dec 15 11:09:37 2014  read 256672 cycles
Mon Dec 15 11:09:38 2014  cycles contain 837222 unique relations
Mon Dec 15 11:09:46 2014  read 837222 relations
Mon Dec 15 11:09:47 2014  multiplying 837222 relations
Mon Dec 15 11:10:01 2014  multiply complete, coefficients have about 21.10 million bits
Mon Dec 15 11:10:01 2014  initial square root is modulo 1145611
Mon Dec 15 11:10:18 2014  sqrtTime: 81
--
n: 266138991710403550220818543563442193105727678099559422287646066609853112219079728831104515395186254771028158030710605621038115128329107218057453820291
m: 100000000000000000000000000000000
deg: 5
c5: 10
c0: 269
skew: 1.93
# Murphy_E = 4.936e-10
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
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 19:46:12 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 12 秒 (日本時間)

10165+2699

c138

name 名前Kai Inouye
date 日付February 18, 2015 20:13:37 UTC 2015 年 2 月 19 日 (木) 5 時 13 分 37 秒 (日本時間)
composite number 合成数
117226837204098030358588327857996790478884704955720525459769368434619243276118275913166423962068766089270730860856156701315946706425213563<138>
prime factors 素因数
4004966656008082220476122169937942552526439838986704151332709<61>
29270365342053289946910661134699671689309742816487677159863453713467301389407<77>
factorization results 素因数分解の結果
Number: 11141_165
N = 117226837204098030358588327857996790478884704955720525459769368434619243276118275913166423962068766089270730860856156701315946706425213563
factor: 4004966656008082220476122169937942552526439838986704151332709
factor: 29270365342053289946910661134699671689309742816487677159863453713467301389407

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 19:46:12 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 12 秒 (日本時間)
2018Kai InouyeFebruary 18, 2015 04:59:39 UTC 2015 年 2 月 18 日 (水) 13 時 59 分 39 秒 (日本時間)
4511e63963Kai InouyeFebruary 18, 2015 15:32:53 UTC 2015 年 2 月 19 日 (木) 0 時 32 分 53 秒 (日本時間)

10166+2699

c156

name 名前Cyp
date 日付February 26, 2015 20:45:32 UTC 2015 年 2 月 27 日 (金) 5 時 45 分 32 秒 (日本時間)
composite number 合成数
217095401979319605635183410343074017785715742630673627400621723148393356138293944763348721604894089916638676996107661998034323880817540078278440352043672743<156>
prime factors 素因数
344079650927760459448218202191894652943120676719<48>
630945193631630359147531773677515865462507820564435285746534571420781798605535373651875131741969773965249097<108>
factorization results 素因数分解の結果
02/26/15 17:17:31 v1.34.3, 
02/26/15 17:17:31 v1.34.3, ****************************
02/26/15 17:17:31 v1.34.3, Starting factorization of 217095401979319605635183410343074017785715742630673627400621723148393356138293944763348721604894089916638676996107661998034323880817540078278440352043672743
02/26/15 17:17:31 v1.34.3, using pretesting plan: none
02/26/15 17:17:31 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
02/26/15 17:17:31 v1.34.3, ****************************
02/26/15 17:17:31 v1.34.3, nfs: commencing nfs on c156: 217095401979319605635183410343074017785715742630673627400621723148393356138293944763348721604894089916638676996107661998034323880817540078278440352043672743
02/26/15 17:17:31 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
02/26/15 17:17:31 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/26/15 17:21:58 v1.34.3, nfs: commencing lattice sieving with 8 threads
[50 lines snipped]
02/26/15 21:16:15 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/26/15 21:21:02 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/26/15 21:25:42 v1.34.3, nfs: commencing msieve filtering
02/26/15 21:27:38 v1.34.3, nfs: commencing msieve linear algebra
02/26/15 21:44:40 v1.34.3, nfs: commencing msieve sqrt
02/26/15 21:45:31 v1.34.3, prp108 = 630945193631630359147531773677515865462507820564435285746534571420781798605535373651875131741969773965249097
02/26/15 21:45:31 v1.34.3, prp48 = 344079650927760459448218202191894652943120676719
02/26/15 21:45:31 v1.34.3, NFS elapsed time = 16080.3347 seconds.
02/26/15 21:45:31 v1.34.3, 
02/26/15 21:45:31 v1.34.3, 
02/26/15 21:45:31 v1.34.3, Total factoring time = 16080.3358 seconds
--
Thu Feb 26 21:25:42 2015  
Thu Feb 26 21:25:42 2015  commencing relation filtering
Thu Feb 26 21:25:42 2015  estimated available RAM is 15987.3 MB
Thu Feb 26 21:25:42 2015  commencing duplicate removal, pass 1
Thu Feb 26 21:26:10 2015  found 1344083 hash collisions in 10103208 relations
Thu Feb 26 21:26:19 2015  added 365671 free relations
Thu Feb 26 21:26:19 2015  commencing duplicate removal, pass 2
Thu Feb 26 21:26:27 2015  found 891653 duplicates and 9577226 unique relations
Thu Feb 26 21:26:27 2015  memory use: 41.3 MB
Thu Feb 26 21:26:27 2015  reading ideals above 100000
Thu Feb 26 21:26:27 2015  commencing singleton removal, initial pass
Thu Feb 26 21:27:09 2015  memory use: 344.5 MB
Thu Feb 26 21:27:09 2015  reading all ideals from disk
Thu Feb 26 21:27:09 2015  memory use: 342.3 MB
Thu Feb 26 21:27:09 2015  keeping 10351410 ideals with weight <= 200, target excess is 50087
Thu Feb 26 21:27:10 2015  commencing in-memory singleton removal
Thu Feb 26 21:27:10 2015  begin with 9577226 relations and 10351410 unique ideals
Thu Feb 26 21:27:14 2015  reduce to 4167786 relations and 3771353 ideals in 15 passes
Thu Feb 26 21:27:14 2015  max relations containing the same ideal: 121
Thu Feb 26 21:27:15 2015  removing 880900 relations and 711734 ideals in 169166 cliques
Thu Feb 26 21:27:15 2015  commencing in-memory singleton removal
Thu Feb 26 21:27:15 2015  begin with 3286886 relations and 3771353 unique ideals
Thu Feb 26 21:27:17 2015  reduce to 3130446 relations and 2895189 ideals in 9 passes
Thu Feb 26 21:27:17 2015  max relations containing the same ideal: 96
Thu Feb 26 21:27:17 2015  removing 703820 relations and 534654 ideals in 169166 cliques
Thu Feb 26 21:27:18 2015  commencing in-memory singleton removal
Thu Feb 26 21:27:18 2015  begin with 2426626 relations and 2895189 unique ideals
Thu Feb 26 21:27:18 2015  reduce to 2297102 relations and 2223696 ideals in 10 passes
Thu Feb 26 21:27:18 2015  max relations containing the same ideal: 75
Thu Feb 26 21:27:19 2015  removing 107969 relations and 92664 ideals in 15305 cliques
Thu Feb 26 21:27:19 2015  commencing in-memory singleton removal
Thu Feb 26 21:27:19 2015  begin with 2189133 relations and 2223696 unique ideals
Thu Feb 26 21:27:20 2015  reduce to 2185737 relations and 2127611 ideals in 6 passes
Thu Feb 26 21:27:20 2015  max relations containing the same ideal: 74
Thu Feb 26 21:27:20 2015  relations with 0 large ideals: 1159
Thu Feb 26 21:27:20 2015  relations with 1 large ideals: 344
Thu Feb 26 21:27:20 2015  relations with 2 large ideals: 5709
Thu Feb 26 21:27:20 2015  relations with 3 large ideals: 44781
Thu Feb 26 21:27:20 2015  relations with 4 large ideals: 186627
Thu Feb 26 21:27:20 2015  relations with 5 large ideals: 444286
Thu Feb 26 21:27:20 2015  relations with 6 large ideals: 646021
Thu Feb 26 21:27:20 2015  relations with 7+ large ideals: 856810
Thu Feb 26 21:27:20 2015  commencing 2-way merge
Thu Feb 26 21:27:21 2015  reduce to 1305279 relation sets and 1247153 unique ideals
Thu Feb 26 21:27:21 2015  commencing full merge
Thu Feb 26 21:27:33 2015  memory use: 158.5 MB
Thu Feb 26 21:27:33 2015  found 662910 cycles, need 655353
Thu Feb 26 21:27:33 2015  weight of 655353 cycles is about 46055753 (70.28/cycle)
Thu Feb 26 21:27:33 2015  distribution of cycle lengths:
Thu Feb 26 21:27:33 2015  1 relations: 73721
Thu Feb 26 21:27:33 2015  2 relations: 68526
Thu Feb 26 21:27:33 2015  3 relations: 69374
Thu Feb 26 21:27:33 2015  4 relations: 65949
Thu Feb 26 21:27:33 2015  5 relations: 61964
Thu Feb 26 21:27:33 2015  6 relations: 55800
Thu Feb 26 21:27:33 2015  7 relations: 49247
Thu Feb 26 21:27:33 2015  8 relations: 43227
Thu Feb 26 21:27:33 2015  9 relations: 36981
Thu Feb 26 21:27:33 2015  10+ relations: 130564
Thu Feb 26 21:27:33 2015  heaviest cycle: 22 relations
Thu Feb 26 21:27:33 2015  commencing cycle optimization
Thu Feb 26 21:27:34 2015  start with 3987055 relations
Thu Feb 26 21:27:37 2015  pruned 97888 relations
Thu Feb 26 21:27:37 2015  memory use: 129.8 MB
Thu Feb 26 21:27:37 2015  distribution of cycle lengths:
Thu Feb 26 21:27:37 2015  1 relations: 73721
Thu Feb 26 21:27:37 2015  2 relations: 69929
Thu Feb 26 21:27:37 2015  3 relations: 71496
Thu Feb 26 21:27:37 2015  4 relations: 67542
Thu Feb 26 21:27:37 2015  5 relations: 63795
Thu Feb 26 21:27:37 2015  6 relations: 57014
Thu Feb 26 21:27:37 2015  7 relations: 50139
Thu Feb 26 21:27:37 2015  8 relations: 43457
Thu Feb 26 21:27:37 2015  9 relations: 36870
Thu Feb 26 21:27:37 2015  10+ relations: 121390
Thu Feb 26 21:27:37 2015  heaviest cycle: 22 relations
Thu Feb 26 21:27:38 2015  RelProcTime: 116
Thu Feb 26 21:27:38 2015  
Thu Feb 26 21:27:38 2015  commencing linear algebra
Thu Feb 26 21:27:38 2015  read 655353 cycles
Thu Feb 26 21:27:39 2015  cycles contain 2142962 unique relations
Thu Feb 26 21:27:50 2015  read 2142962 relations
Thu Feb 26 21:27:51 2015  using 20 quadratic characters above 134215308
Thu Feb 26 21:27:58 2015  building initial matrix
Thu Feb 26 21:28:09 2015  memory use: 269.7 MB
Thu Feb 26 21:28:10 2015  read 655353 cycles
Thu Feb 26 21:28:10 2015  matrix is 655176 x 655353 (196.3 MB) with weight 59291443 (90.47/col)
Thu Feb 26 21:28:10 2015  sparse part has weight 44250513 (67.52/col)
Thu Feb 26 21:28:13 2015  filtering completed in 2 passes
Thu Feb 26 21:28:13 2015  matrix is 654889 x 655066 (196.3 MB) with weight 59281563 (90.50/col)
Thu Feb 26 21:28:13 2015  sparse part has weight 44247446 (67.55/col)
Thu Feb 26 21:28:15 2015  matrix starts at (0, 0)
Thu Feb 26 21:28:15 2015  matrix is 654889 x 655066 (196.3 MB) with weight 59281563 (90.50/col)
Thu Feb 26 21:28:15 2015  sparse part has weight 44247446 (67.55/col)
Thu Feb 26 21:28:15 2015  saving the first 48 matrix rows for later
Thu Feb 26 21:28:15 2015  matrix includes 64 packed rows
Thu Feb 26 21:28:15 2015  matrix is 654841 x 655066 (186.4 MB) with weight 46834337 (71.50/col)
Thu Feb 26 21:28:15 2015  sparse part has weight 42304537 (64.58/col)
Thu Feb 26 21:28:15 2015  using block size 65536 for processor cache size 8192 kB
Thu Feb 26 21:28:16 2015  commencing Lanczos iteration (8 threads)
Thu Feb 26 21:28:16 2015  memory use: 181.4 MB
Thu Feb 26 21:28:21 2015  linear algebra at 0.5%, ETA 0h17m
Thu Feb 26 21:44:39 2015  lanczos halted after 10355 iterations (dim = 654841)
Thu Feb 26 21:44:40 2015  recovered 37 nontrivial dependencies
Thu Feb 26 21:44:40 2015  BLanczosTime: 1022
Thu Feb 26 21:44:40 2015  
Thu Feb 26 21:44:40 2015  commencing square root phase
Thu Feb 26 21:44:40 2015  reading relations for dependency 1
Thu Feb 26 21:44:40 2015  read 327566 cycles
Thu Feb 26 21:44:40 2015  cycles contain 1072610 unique relations
Thu Feb 26 21:44:49 2015  read 1072610 relations
Thu Feb 26 21:44:51 2015  multiplying 1072610 relations
Thu Feb 26 21:45:09 2015  multiply complete, coefficients have about 27.23 million bits
Thu Feb 26 21:45:09 2015  initial square root is modulo 66236231
Thu Feb 26 21:45:31 2015  sqrtTime: 51
--
n: 217095401979319605635183410343074017785715742630673627400621723148393356138293944763348721604894089916638676996107661998034323880817540078278440352043672743
m: 1000000000000000000000000000000000
deg: 5
c5: 10
c0: 269
skew: 1.93
# Murphy_E = 3.149e-10
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
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)
403e62650300Serge BatalovDecember 10, 2014 19:46:13 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 13 秒 (日本時間)
2350Ignacio SantosFebruary 22, 2015 10:04:02 UTC 2015 年 2 月 22 日 (日) 19 時 4 分 2 秒 (日本時間)

10167+2699

c154

name 名前Cyp
date 日付March 4, 2015 23:40:16 UTC 2015 年 3 月 5 日 (木) 8 時 40 分 16 秒 (日本時間)
composite number 合成数
4010572169657619043700424863527641890311774640548608546213420531394741459168300956916892915733601071582584484519048426787233950377478318058146647407914369<154>
prime factors 素因数
76547783786921802794399088387351564235081359491819<50>
52393054001686535255879992815271493318284562697836987852318056819059118142303180213253417164011832016451<104>
factorization results 素因数分解の結果
03/04/15 19:01:14 v1.34.3, 
03/04/15 19:01:14 v1.34.3, ****************************
03/04/15 19:01:14 v1.34.3, Starting factorization of 4010572169657619043700424863527641890311774640548608546213420531394741459168300956916892915733601071582584484519048426787233950377478318058146647407914369
03/04/15 19:01:14 v1.34.3, using pretesting plan: none
03/04/15 19:01:14 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
03/04/15 19:01:14 v1.34.3, ****************************
03/04/15 19:01:14 v1.34.3, nfs: commencing nfs on c154: 4010572169657619043700424863527641890311774640548608546213420531394741459168300956916892915733601071582584484519048426787233950377478318058146647407914369
03/04/15 19:01:14 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
03/04/15 19:01:14 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/04/15 19:05:47 v1.34.3, nfs: commencing lattice sieving with 8 threads
[62 lines snipped]
03/05/15 00:11:41 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/05/15 00:16:22 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/05/15 00:20:55 v1.34.3, nfs: commencing msieve filtering
03/05/15 00:22:55 v1.34.3, nfs: commencing msieve linear algebra
03/05/15 00:37:59 v1.34.3, nfs: commencing msieve sqrt
03/05/15 00:40:15 v1.34.3, prp104 = 52393054001686535255879992815271493318284562697836987852318056819059118142303180213253417164011832016451
03/05/15 00:40:15 v1.34.3, prp50 = 76547783786921802794399088387351564235081359491819
03/05/15 00:40:15 v1.34.3, NFS elapsed time = 20340.6123 seconds.
03/05/15 00:40:15 v1.34.3, 
03/05/15 00:40:15 v1.34.3, 
03/05/15 00:40:15 v1.34.3, Total factoring time = 20340.6244 seconds
--
Thu Mar  5 00:20:55 2015  
Thu Mar  5 00:20:55 2015  commencing relation filtering
Thu Mar  5 00:20:55 2015  estimated available RAM is 15987.3 MB
Thu Mar  5 00:20:55 2015  commencing duplicate removal, pass 1
Thu Mar  5 00:21:24 2015  found 1425695 hash collisions in 10110555 relations
Thu Mar  5 00:21:33 2015  added 365393 free relations
Thu Mar  5 00:21:33 2015  commencing duplicate removal, pass 2
Thu Mar  5 00:21:41 2015  found 1003001 duplicates and 9472947 unique relations
Thu Mar  5 00:21:41 2015  memory use: 41.3 MB
Thu Mar  5 00:21:41 2015  reading ideals above 100000
Thu Mar  5 00:21:41 2015  commencing singleton removal, initial pass
Thu Mar  5 00:22:23 2015  memory use: 344.5 MB
Thu Mar  5 00:22:23 2015  reading all ideals from disk
Thu Mar  5 00:22:23 2015  memory use: 341.1 MB
Thu Mar  5 00:22:24 2015  keeping 10360865 ideals with weight <= 200, target excess is 49384
Thu Mar  5 00:22:24 2015  commencing in-memory singleton removal
Thu Mar  5 00:22:24 2015  begin with 9472947 relations and 10360865 unique ideals
Thu Mar  5 00:22:28 2015  reduce to 4021511 relations and 3724141 ideals in 16 passes
Thu Mar  5 00:22:28 2015  max relations containing the same ideal: 115
Thu Mar  5 00:22:29 2015  removing 726621 relations and 606579 ideals in 120042 cliques
Thu Mar  5 00:22:29 2015  commencing in-memory singleton removal
Thu Mar  5 00:22:29 2015  begin with 3294890 relations and 3724141 unique ideals
Thu Mar  5 00:22:30 2015  reduce to 3184688 relations and 3003012 ideals in 8 passes
Thu Mar  5 00:22:30 2015  max relations containing the same ideal: 99
Thu Mar  5 00:22:31 2015  removing 571465 relations and 451423 ideals in 120042 cliques
Thu Mar  5 00:22:32 2015  commencing in-memory singleton removal
Thu Mar  5 00:22:32 2015  begin with 2613223 relations and 3003012 unique ideals
Thu Mar  5 00:22:33 2015  reduce to 2528140 relations and 2463243 ideals in 8 passes
Thu Mar  5 00:22:33 2015  max relations containing the same ideal: 83
Thu Mar  5 00:22:34 2015  relations with 0 large ideals: 1055
Thu Mar  5 00:22:34 2015  relations with 1 large ideals: 260
Thu Mar  5 00:22:34 2015  relations with 2 large ideals: 4845
Thu Mar  5 00:22:34 2015  relations with 3 large ideals: 41439
Thu Mar  5 00:22:34 2015  relations with 4 large ideals: 184102
Thu Mar  5 00:22:34 2015  relations with 5 large ideals: 469223
Thu Mar  5 00:22:34 2015  relations with 6 large ideals: 737464
Thu Mar  5 00:22:34 2015  relations with 7+ large ideals: 1089752
Thu Mar  5 00:22:34 2015  commencing 2-way merge
Thu Mar  5 00:22:35 2015  reduce to 1508057 relation sets and 1443162 unique ideals
Thu Mar  5 00:22:35 2015  ignored 2 oversize relation sets
Thu Mar  5 00:22:35 2015  commencing full merge
Thu Mar  5 00:22:49 2015  memory use: 183.3 MB
Thu Mar  5 00:22:50 2015  found 757361 cycles, need 743362
Thu Mar  5 00:22:50 2015  weight of 743362 cycles is about 52396531 (70.49/cycle)
Thu Mar  5 00:22:50 2015  distribution of cycle lengths:
Thu Mar  5 00:22:50 2015  1 relations: 86034
Thu Mar  5 00:22:50 2015  2 relations: 80028
Thu Mar  5 00:22:50 2015  3 relations: 81145
Thu Mar  5 00:22:50 2015  4 relations: 74643
Thu Mar  5 00:22:50 2015  5 relations: 69560
Thu Mar  5 00:22:50 2015  6 relations: 62077
Thu Mar  5 00:22:50 2015  7 relations: 54453
Thu Mar  5 00:22:50 2015  8 relations: 47686
Thu Mar  5 00:22:50 2015  9 relations: 40706
Thu Mar  5 00:22:50 2015  10+ relations: 147030
Thu Mar  5 00:22:50 2015  heaviest cycle: 22 relations
Thu Mar  5 00:22:50 2015  commencing cycle optimization
Thu Mar  5 00:22:50 2015  start with 4489330 relations
Thu Mar  5 00:22:54 2015  pruned 111291 relations
Thu Mar  5 00:22:54 2015  memory use: 146.7 MB
Thu Mar  5 00:22:54 2015  distribution of cycle lengths:
Thu Mar  5 00:22:54 2015  1 relations: 86034
Thu Mar  5 00:22:54 2015  2 relations: 81688
Thu Mar  5 00:22:54 2015  3 relations: 83798
Thu Mar  5 00:22:54 2015  4 relations: 76436
Thu Mar  5 00:22:54 2015  5 relations: 71556
Thu Mar  5 00:22:54 2015  6 relations: 63238
Thu Mar  5 00:22:54 2015  7 relations: 55310
Thu Mar  5 00:22:54 2015  8 relations: 47984
Thu Mar  5 00:22:54 2015  9 relations: 40632
Thu Mar  5 00:22:54 2015  10+ relations: 136686
Thu Mar  5 00:22:54 2015  heaviest cycle: 22 relations
Thu Mar  5 00:22:55 2015  RelProcTime: 120
Thu Mar  5 00:22:55 2015  
Thu Mar  5 00:22:55 2015  commencing linear algebra
Thu Mar  5 00:22:55 2015  read 743362 cycles
Thu Mar  5 00:22:56 2015  cycles contain 2429469 unique relations
Thu Mar  5 00:23:08 2015  read 2429469 relations
Thu Mar  5 00:23:09 2015  using 20 quadratic characters above 134216544
Thu Mar  5 00:23:17 2015  building initial matrix
Thu Mar  5 00:23:29 2015  memory use: 297.1 MB
Thu Mar  5 00:23:29 2015  read 743362 cycles
Thu Mar  5 00:23:29 2015  matrix is 743184 x 743362 (223.2 MB) with weight 66174370 (89.02/col)
Thu Mar  5 00:23:29 2015  sparse part has weight 50344217 (67.73/col)
Thu Mar  5 00:23:33 2015  filtering completed in 2 passes
Thu Mar  5 00:23:33 2015  matrix is 742261 x 742439 (223.1 MB) with weight 66140601 (89.09/col)
Thu Mar  5 00:23:33 2015  sparse part has weight 50330444 (67.79/col)
Thu Mar  5 00:23:35 2015  matrix starts at (0, 0)
Thu Mar  5 00:23:35 2015  matrix is 742261 x 742439 (223.1 MB) with weight 66140601 (89.09/col)
Thu Mar  5 00:23:35 2015  sparse part has weight 50330444 (67.79/col)
Thu Mar  5 00:23:35 2015  saving the first 48 matrix rows for later
Thu Mar  5 00:23:35 2015  matrix includes 64 packed rows
Thu Mar  5 00:23:35 2015  matrix is 742213 x 742439 (211.6 MB) with weight 52827845 (71.15/col)
Thu Mar  5 00:23:35 2015  sparse part has weight 48045106 (64.71/col)
Thu Mar  5 00:23:35 2015  using block size 65536 for processor cache size 8192 kB
Thu Mar  5 00:23:37 2015  commencing Lanczos iteration (8 threads)
Thu Mar  5 00:23:37 2015  memory use: 206.0 MB
Thu Mar  5 00:23:40 2015  linear algebra at 0.4%, ETA 0h12m
Thu Mar  5 00:37:59 2015  lanczos halted after 11739 iterations (dim = 742207)
Thu Mar  5 00:37:59 2015  recovered 37 nontrivial dependencies
Thu Mar  5 00:37:59 2015  BLanczosTime: 904
Thu Mar  5 00:37:59 2015  
Thu Mar  5 00:37:59 2015  commencing square root phase
Thu Mar  5 00:37:59 2015  reading relations for dependency 1
Thu Mar  5 00:37:59 2015  read 371390 cycles
Thu Mar  5 00:38:00 2015  cycles contain 1216294 unique relations
Thu Mar  5 00:38:09 2015  read 1216294 relations
Thu Mar  5 00:38:12 2015  multiplying 1216294 relations
Thu Mar  5 00:38:36 2015  multiply complete, coefficients have about 34.63 million bits
Thu Mar  5 00:38:37 2015  initial square root is modulo 93761
Thu Mar  5 00:39:08 2015  GCD is 1, no factor found
Thu Mar  5 00:39:08 2015  reading relations for dependency 2
Thu Mar  5 00:39:08 2015  read 370689 cycles
Thu Mar  5 00:39:08 2015  cycles contain 1212246 unique relations
Thu Mar  5 00:39:17 2015  read 1212246 relations
Thu Mar  5 00:39:20 2015  multiplying 1212246 relations
Thu Mar  5 00:39:44 2015  multiply complete, coefficients have about 34.51 million bits
Thu Mar  5 00:39:44 2015  initial square root is modulo 90191
Thu Mar  5 00:40:15 2015  sqrtTime: 136
--
n: 4010572169657619043700424863527641890311774640548608546213420531394741459168300956916892915733601071582584484519048426787233950377478318058146647407914369
m: 1000000000000000000000000000000000
deg: 5
c5: 100
c0: 269
skew: 1.22
# Murphy_E = 2.594e-10
type: snfs
lss: 1
rlim: 4300000
alim: 4300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
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)
403e62650300Serge BatalovDecember 10, 2014 19:46:13 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 13 秒 (日本時間)
2350Ignacio SantosFebruary 21, 2015 13:25:25 UTC 2015 年 2 月 21 日 (土) 22 時 25 分 25 秒 (日本時間)

10173+2699

c141

name 名前Cyp
date 日付February 2, 2015 15:17:05 UTC 2015 年 2 月 3 日 (火) 0 時 17 分 5 秒 (日本時間)
composite number 合成数
443597357118694321215767474475607170403648971967396421410876887473373973880425464367621512859460304445410360953591565003888489959596544180297<141>
prime factors 素因数
533722262490466470856354477505087683<36>
composite cofactor 合成数の残り
831138943031476054554829042927803213953645305166168236685335976926728534142127507570019865674955416429059<105>
factorization results 素因数分解の結果
Run 179 out of 591:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1244670198
Step 1 took 41625ms
Step 2 took 14848ms
********** Factor found in step 2: 533722262490466470856354477505087683
Found probable prime factor of 36 digits: 533722262490466470856354477505087683
Composite cofactor 831138943031476054554829042927803213953645305166168236685335976926728534142127507570019865674955416429059 has 105 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

c105

name 名前KTakahashi
date 日付February 4, 2015 10:01:40 UTC 2015 年 2 月 4 日 (水) 19 時 1 分 40 秒 (日本時間)
composite number 合成数
831138943031476054554829042927803213953645305166168236685335976926728534142127507570019865674955416429059<105>
prime factors 素因数
2775685363309408463179901443490375162450580647287<49>
299435575090009996008628688084152229213307313971146515157<57>
factorization results 素因数分解の結果
Number: 11141_173
N=831138943031476054554829042927803213953645305166168236685335976926728534142127507570019865674955416429059
  ( 105 digits)
Divisors found:
 r1=2775685363309408463179901443490375162450580647287 (pp49)
 r2=299435575090009996008628688084152229213307313971146515157 (pp57)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 10.60 hours.
Scaled time: 18.46 units (timescale=1.742).
Factorization parameters were as follows:
name: 11141_173
n: 831138943031476054554829042927803213953645305166168236685335976926728534142127507570019865674955416429059
skew: 9626.34
# norm 1.37e+015
c5: 73800
c4: -5130397962
c3: 62776166961143
c2: 328551118998278474
c1: 443631643111676227480
c0: -6795549058410102320000
# alpha -6.13
Y1: 17171262173
Y0: -102405779202268774101
# Murphy_E 1.78e-009
# M 33276284178583231721303392922235034026305267748487342595820929400756474363695048638002926691990574442956
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 284738 x 284964
Polynomial selection time: 0.74 hours.
Total sieving time: 9.51 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.26 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,104,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 10.60 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
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 01:01:38 UTC 2014 年 12 月 8 日 (月) 10 時 1 分 38 秒 (日本時間)
4511e6591 / 4413CypFebruary 2, 2015 15:17:04 UTC 2015 年 2 月 3 日 (火) 0 時 17 分 4 秒 (日本時間)

10174+2699

c163

name 名前Cyp
date 日付April 30, 2015 18:17:36 UTC 2015 年 5 月 1 日 (金) 3 時 17 分 36 秒 (日本時間)
composite number 合成数
1367050966764325271813928642916887150673572366768723859187854206686153525950091298442287797987573243234911254923744450850162431857049129265775763316758128549330193<163>
prime factors 素因数
182559388679303491647525930656813164692385382600494993979644651<63>
7488253420730839526970474482705066961412477854766195557992061224874911198976089981800860162183680243<100>
factorization results 素因数分解の結果
04/30/15 08:34:51 v1.34.3, 
04/30/15 08:34:51 v1.34.3, ****************************
04/30/15 08:34:51 v1.34.3, Starting factorization of 1367050966764325271813928642916887150673572366768723859187854206686153525950091298442287797987573243234911254923744450850162431857049129265775763316758128549330193
04/30/15 08:34:51 v1.34.3, using pretesting plan: none
04/30/15 08:34:51 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
04/30/15 08:34:51 v1.34.3, ****************************
04/30/15 08:34:51 v1.34.3, nfs: commencing nfs on c163: 1367050966764325271813928642916887150673572366768723859187854206686153525950091298442287797987573243234911254923744450850162431857049129265775763316758128549330193
04/30/15 08:34:51 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
04/30/15 08:34:51 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/30/15 08:39:33 v1.34.3, nfs: commencing lattice sieving with 8 threads
[105 lines snipped]
04/30/15 17:23:19 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/30/15 17:28:20 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/30/15 17:33:12 v1.34.3, nfs: commencing msieve filtering
04/30/15 17:34:51 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/30/15 17:39:48 v1.34.3, nfs: commencing lattice sieving with 8 threads
[3 lines snipped]
04/30/15 17:59:26 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/30/15 18:04:22 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/30/15 18:09:22 v1.34.3, nfs: commencing msieve filtering
04/30/15 18:11:10 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/30/15 18:15:58 v1.34.3, nfs: commencing lattice sieving with 8 threads
[3 lines snipped]
04/30/15 18:35:38 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/30/15 18:40:31 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/30/15 18:45:18 v1.34.3, nfs: commencing msieve filtering
04/30/15 18:47:04 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/30/15 18:52:08 v1.34.3, nfs: commencing lattice sieving with 8 threads
[3 lines snipped]
04/30/15 19:12:00 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/30/15 19:16:51 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/30/15 19:21:43 v1.34.3, nfs: commencing msieve filtering
04/30/15 19:24:11 v1.34.3, nfs: commencing msieve linear algebra
04/30/15 20:12:49 v1.34.3, nfs: commencing msieve sqrt
04/30/15 20:17:34 v1.34.3, prp63 = 182559388679303491647525930656813164692385382600494993979644651
04/30/15 20:17:34 v1.34.3, prp100 = 7488253420730839526970474482705066961412477854766195557992061224874911198976089981800860162183680243
04/30/15 20:17:34 v1.34.3, NFS elapsed time = 42162.8084 seconds.
04/30/15 20:17:34 v1.34.3, 
04/30/15 20:17:34 v1.34.3, 
04/30/15 20:17:34 v1.34.3, Total factoring time = 42162.8106 seconds
--
Thu Apr 30 17:33:12 2015  
Thu Apr 30 17:33:12 2015  commencing relation filtering
Thu Apr 30 17:33:12 2015  estimated available RAM is 15987.3 MB
Thu Apr 30 17:33:12 2015  commencing duplicate removal, pass 1
Thu Apr 30 17:33:42 2015  found 1542791 hash collisions in 10108290 relations
Thu Apr 30 17:33:51 2015  added 369828 free relations
Thu Apr 30 17:33:51 2015  commencing duplicate removal, pass 2
Thu Apr 30 17:34:00 2015  found 1170358 duplicates and 9307760 unique relations
Thu Apr 30 17:34:00 2015  memory use: 41.3 MB
Thu Apr 30 17:34:00 2015  reading ideals above 100000
Thu Apr 30 17:34:00 2015  commencing singleton removal, initial pass
Thu Apr 30 17:34:45 2015  memory use: 344.5 MB
Thu Apr 30 17:34:45 2015  reading all ideals from disk
Thu Apr 30 17:34:45 2015  memory use: 345.7 MB
Thu Apr 30 17:34:45 2015  keeping 10940302 ideals with weight <= 200, target excess is 48417
Thu Apr 30 17:34:46 2015  commencing in-memory singleton removal
Thu Apr 30 17:34:46 2015  begin with 9307760 relations and 10940302 unique ideals
Thu Apr 30 17:34:51 2015  reduce to 2986289 relations and 3258062 ideals in 25 passes
Thu Apr 30 17:34:51 2015  max relations containing the same ideal: 96
Thu Apr 30 18:09:22 2015  
Thu Apr 30 18:09:22 2015  commencing relation filtering
Thu Apr 30 18:09:22 2015  estimated available RAM is 15987.3 MB
Thu Apr 30 18:09:22 2015  commencing duplicate removal, pass 1
Thu Apr 30 18:09:59 2015  found 1730313 hash collisions in 11056403 relations
Thu Apr 30 18:10:07 2015  added 1226 free relations
Thu Apr 30 18:10:07 2015  commencing duplicate removal, pass 2
Thu Apr 30 18:10:16 2015  found 1287654 duplicates and 9769975 unique relations
Thu Apr 30 18:10:16 2015  memory use: 45.3 MB
Thu Apr 30 18:10:16 2015  reading ideals above 100000
Thu Apr 30 18:10:16 2015  commencing singleton removal, initial pass
Thu Apr 30 18:11:04 2015  memory use: 344.5 MB
Thu Apr 30 18:11:04 2015  reading all ideals from disk
Thu Apr 30 18:11:04 2015  memory use: 363.1 MB
Thu Apr 30 18:11:05 2015  keeping 11123137 ideals with weight <= 200, target excess is 51142
Thu Apr 30 18:11:05 2015  commencing in-memory singleton removal
Thu Apr 30 18:11:06 2015  begin with 9769975 relations and 11123137 unique ideals
Thu Apr 30 18:11:10 2015  reduce to 3695044 relations and 3805658 ideals in 22 passes
Thu Apr 30 18:11:10 2015  max relations containing the same ideal: 107
Thu Apr 30 18:45:18 2015  
Thu Apr 30 18:45:18 2015  commencing relation filtering
Thu Apr 30 18:45:18 2015  estimated available RAM is 15987.3 MB
Thu Apr 30 18:45:18 2015  commencing duplicate removal, pass 1
Thu Apr 30 18:45:57 2015  found 1881567 hash collisions in 11626582 relations
Thu Apr 30 18:46:06 2015  added 1020 free relations
Thu Apr 30 18:46:06 2015  commencing duplicate removal, pass 2
Thu Apr 30 18:46:16 2015  found 1407685 duplicates and 10219917 unique relations
Thu Apr 30 18:46:16 2015  memory use: 74.6 MB
Thu Apr 30 18:46:16 2015  reading ideals above 720000
Thu Apr 30 18:46:16 2015  commencing singleton removal, initial pass
Thu Apr 30 18:46:59 2015  memory use: 344.5 MB
Thu Apr 30 18:46:59 2015  reading all ideals from disk
Thu Apr 30 18:46:59 2015  memory use: 306.8 MB
Thu Apr 30 18:47:00 2015  commencing in-memory singleton removal
Thu Apr 30 18:47:00 2015  begin with 10219917 relations and 11228321 unique ideals
Thu Apr 30 18:47:04 2015  reduce to 4350884 relations and 4218003 ideals in 17 passes
Thu Apr 30 18:47:04 2015  max relations containing the same ideal: 69
Thu Apr 30 19:21:43 2015  
Thu Apr 30 19:21:43 2015  commencing relation filtering
Thu Apr 30 19:21:43 2015  estimated available RAM is 15987.3 MB
Thu Apr 30 19:21:43 2015  commencing duplicate removal, pass 1
Thu Apr 30 19:22:21 2015  found 2034555 hash collisions in 12190724 relations
Thu Apr 30 19:22:30 2015  added 864 free relations
Thu Apr 30 19:22:30 2015  commencing duplicate removal, pass 2
Thu Apr 30 19:22:41 2015  found 1529348 duplicates and 10662240 unique relations
Thu Apr 30 19:22:41 2015  memory use: 74.6 MB
Thu Apr 30 19:22:41 2015  reading ideals above 720000
Thu Apr 30 19:22:41 2015  commencing singleton removal, initial pass
Thu Apr 30 19:23:26 2015  memory use: 344.5 MB
Thu Apr 30 19:23:26 2015  reading all ideals from disk
Thu Apr 30 19:23:26 2015  memory use: 320.2 MB
Thu Apr 30 19:23:27 2015  commencing in-memory singleton removal
Thu Apr 30 19:23:27 2015  begin with 10662240 relations and 11386788 unique ideals
Thu Apr 30 19:23:31 2015  reduce to 4975609 relations and 4647531 ideals in 15 passes
Thu Apr 30 19:23:31 2015  max relations containing the same ideal: 79
Thu Apr 30 19:23:33 2015  removing 699327 relations and 602609 ideals in 96718 cliques
Thu Apr 30 19:23:33 2015  commencing in-memory singleton removal
Thu Apr 30 19:23:33 2015  begin with 4276282 relations and 4647531 unique ideals
Thu Apr 30 19:23:36 2015  reduce to 4191913 relations and 3958347 ideals in 10 passes
Thu Apr 30 19:23:36 2015  max relations containing the same ideal: 69
Thu Apr 30 19:23:38 2015  removing 534124 relations and 437406 ideals in 96718 cliques
Thu Apr 30 19:23:38 2015  commencing in-memory singleton removal
Thu Apr 30 19:23:38 2015  begin with 3657789 relations and 3958347 unique ideals
Thu Apr 30 19:23:39 2015  reduce to 3600849 relations and 3462721 ideals in 9 passes
Thu Apr 30 19:23:39 2015  max relations containing the same ideal: 64
Thu Apr 30 19:23:41 2015  relations with 0 large ideals: 2897
Thu Apr 30 19:23:41 2015  relations with 1 large ideals: 1861
Thu Apr 30 19:23:41 2015  relations with 2 large ideals: 26841
Thu Apr 30 19:23:41 2015  relations with 3 large ideals: 160980
Thu Apr 30 19:23:41 2015  relations with 4 large ideals: 516124
Thu Apr 30 19:23:41 2015  relations with 5 large ideals: 940531
Thu Apr 30 19:23:41 2015  relations with 6 large ideals: 1040537
Thu Apr 30 19:23:41 2015  relations with 7+ large ideals: 911078
Thu Apr 30 19:23:41 2015  commencing 2-way merge
Thu Apr 30 19:23:42 2015  reduce to 2188139 relation sets and 2050011 unique ideals
Thu Apr 30 19:23:42 2015  commencing full merge
Thu Apr 30 19:24:02 2015  memory use: 250.1 MB
Thu Apr 30 19:24:02 2015  found 1106517 cycles, need 1086211
Thu Apr 30 19:24:03 2015  weight of 1086211 cycles is about 76227973 (70.18/cycle)
Thu Apr 30 19:24:03 2015  distribution of cycle lengths:
Thu Apr 30 19:24:03 2015  1 relations: 134347
Thu Apr 30 19:24:03 2015  2 relations: 125231
Thu Apr 30 19:24:03 2015  3 relations: 122660
Thu Apr 30 19:24:03 2015  4 relations: 110540
Thu Apr 30 19:24:03 2015  5 relations: 100351
Thu Apr 30 19:24:03 2015  6 relations: 86407
Thu Apr 30 19:24:03 2015  7 relations: 75549
Thu Apr 30 19:24:03 2015  8 relations: 65499
Thu Apr 30 19:24:03 2015  9 relations: 56311
Thu Apr 30 19:24:03 2015  10+ relations: 209316
Thu Apr 30 19:24:03 2015  heaviest cycle: 21 relations
Thu Apr 30 19:24:03 2015  commencing cycle optimization
Thu Apr 30 19:24:04 2015  start with 6415620 relations
Thu Apr 30 19:24:09 2015  pruned 167279 relations
Thu Apr 30 19:24:09 2015  memory use: 209.1 MB
Thu Apr 30 19:24:09 2015  distribution of cycle lengths:
Thu Apr 30 19:24:09 2015  1 relations: 134347
Thu Apr 30 19:24:09 2015  2 relations: 128100
Thu Apr 30 19:24:09 2015  3 relations: 126980
Thu Apr 30 19:24:09 2015  4 relations: 113358
Thu Apr 30 19:24:09 2015  5 relations: 102894
Thu Apr 30 19:24:09 2015  6 relations: 88130
Thu Apr 30 19:24:09 2015  7 relations: 76525
Thu Apr 30 19:24:09 2015  8 relations: 65631
Thu Apr 30 19:24:09 2015  9 relations: 56129
Thu Apr 30 19:24:09 2015  10+ relations: 194117
Thu Apr 30 19:24:09 2015  heaviest cycle: 21 relations
Thu Apr 30 19:24:10 2015  RelProcTime: 147
Thu Apr 30 19:24:11 2015  
Thu Apr 30 19:24:11 2015  commencing linear algebra
Thu Apr 30 19:24:11 2015  read 1086211 cycles
Thu Apr 30 19:24:12 2015  cycles contain 3463840 unique relations
Thu Apr 30 19:24:27 2015  read 3463840 relations
Thu Apr 30 19:24:30 2015  using 20 quadratic characters above 134217542
Thu Apr 30 19:24:42 2015  building initial matrix
Thu Apr 30 19:25:01 2015  memory use: 419.6 MB
Thu Apr 30 19:25:02 2015  read 1086211 cycles
Thu Apr 30 19:25:02 2015  matrix is 1086029 x 1086211 (325.0 MB) with weight 95469411 (87.89/col)
Thu Apr 30 19:25:02 2015  sparse part has weight 73261154 (67.45/col)
Thu Apr 30 19:25:08 2015  filtering completed in 2 passes
Thu Apr 30 19:25:08 2015  matrix is 1084544 x 1084726 (324.9 MB) with weight 95415254 (87.96/col)
Thu Apr 30 19:25:08 2015  sparse part has weight 73238362 (67.52/col)
Thu Apr 30 19:25:11 2015  matrix starts at (0, 0)
Thu Apr 30 19:25:11 2015  matrix is 1084544 x 1084726 (324.9 MB) with weight 95415254 (87.96/col)
Thu Apr 30 19:25:11 2015  sparse part has weight 73238362 (67.52/col)
Thu Apr 30 19:25:11 2015  saving the first 48 matrix rows for later
Thu Apr 30 19:25:11 2015  matrix includes 64 packed rows
Thu Apr 30 19:25:12 2015  matrix is 1084496 x 1084726 (307.4 MB) with weight 75784174 (69.86/col)
Thu Apr 30 19:25:12 2015  sparse part has weight 69725894 (64.28/col)
Thu Apr 30 19:25:12 2015  using block size 65536 for processor cache size 8192 kB
Thu Apr 30 19:25:14 2015  commencing Lanczos iteration (8 threads)
Thu Apr 30 19:25:14 2015  memory use: 302.2 MB
Thu Apr 30 19:25:18 2015  linear algebra at 0.1%, ETA 0h47m
Thu Apr 30 19:25:19 2015  checkpointing every 1450000 dimensions
Thu Apr 30 20:12:48 2015  lanczos halted after 17152 iterations (dim = 1084494)
Thu Apr 30 20:12:49 2015  recovered 37 nontrivial dependencies
Thu Apr 30 20:12:49 2015  BLanczosTime: 2918
Thu Apr 30 20:12:49 2015  
Thu Apr 30 20:12:49 2015  commencing square root phase
Thu Apr 30 20:12:49 2015  reading relations for dependency 1
Thu Apr 30 20:12:49 2015  read 542045 cycles
Thu Apr 30 20:12:50 2015  cycles contain 1731402 unique relations
Thu Apr 30 20:13:02 2015  read 1731402 relations
Thu Apr 30 20:13:06 2015  multiplying 1731402 relations
Thu Apr 30 20:13:39 2015  multiply complete, coefficients have about 46.18 million bits
Thu Apr 30 20:13:39 2015  initial square root is modulo 4263491
Thu Apr 30 20:14:22 2015  GCD is 1, no factor found
Thu Apr 30 20:14:22 2015  reading relations for dependency 2
Thu Apr 30 20:14:22 2015  read 542598 cycles
Thu Apr 30 20:14:22 2015  cycles contain 1732928 unique relations
Thu Apr 30 20:14:34 2015  read 1732928 relations
Thu Apr 30 20:14:40 2015  multiplying 1732928 relations
Thu Apr 30 20:15:13 2015  multiply complete, coefficients have about 46.22 million bits
Thu Apr 30 20:15:13 2015  initial square root is modulo 4320461
Thu Apr 30 20:15:58 2015  GCD is N, no factor found
Thu Apr 30 20:15:58 2015  reading relations for dependency 3
Thu Apr 30 20:15:59 2015  read 542986 cycles
Thu Apr 30 20:15:59 2015  cycles contain 1732904 unique relations
Thu Apr 30 20:16:11 2015  read 1732904 relations
Thu Apr 30 20:16:15 2015  multiplying 1732904 relations
Thu Apr 30 20:16:51 2015  multiply complete, coefficients have about 46.22 million bits
Thu Apr 30 20:16:51 2015  initial square root is modulo 4321211
Thu Apr 30 20:17:34 2015  sqrtTime: 285
--
n: 1367050966764325271813928642916887150673572366768723859187854206686153525950091298442287797987573243234911254923744450850162431857049129265775763316758128549330193
m: 50000000000000000000000000000000000
deg: 5
c5: 16
c0: 1345
skew: 2.43
# Murphy_E = 1.186e-10
type: snfs
lss: 1
rlim: 5700000
alim: 5700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
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)
403e62650300Serge BatalovDecember 10, 2014 19:46:14 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 14 秒 (日本時間)
2350Ignacio SantosMarch 9, 2015 16:29:42 UTC 2015 年 3 月 10 日 (火) 1 時 29 分 42 秒 (日本時間)

10176+2699

c146

name 名前Ignacio Santos
date 日付March 29, 2015 08:58:59 UTC 2015 年 3 月 29 日 (日) 17 時 58 分 59 秒 (日本時間)
composite number 合成数
19228305514483147080542890789857138166401870065743270013809952061348102892827811734523174866699776142856472200713825087881021741034402918590852269<146>
prime factors 素因数
14880979328245681235969897746515970313267<41>
composite cofactor 合成数の残り
1292139790691448541989395251779156338137432272090553848250087813458320821606612542254599629160959611618207<106>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:168043383
Step 1 took 10156ms
Step 2 took 6375ms
********** Factor found in step 2: 14880979328245681235969897746515970313267
Found probable prime factor of 41 digits: 14880979328245681235969897746515970313267
Composite cofactor 1292139790691448541989395251779156338137432272090553848250087813458320821606612542254599629160959611618207 has 106 digits
software ソフトウェア
GMP-ECM 7.0

c106

name 名前Dmitry Domanov
date 日付March 30, 2015 10:49:44 UTC 2015 年 3 月 30 日 (月) 19 時 49 分 44 秒 (日本時間)
composite number 合成数
1292139790691448541989395251779156338137432272090553848250087813458320821606612542254599629160959611618207<106>
prime factors 素因数
28006719384565409019213346307026495803449<41>
46136777854944011662853718928506244235653469316789126840149525143<65>
factorization results 素因数分解の結果
N=1292139790691448541989395251779156338137432272090553848250087813458320821606612542254599629160959611618207
  ( 106 digits)
Divisors found:
 r1=28006719384565409019213346307026495803449 (pp41)
 r2=46136777854944011662853718928506244235653469316789126840149525143 (pp65)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 8.61 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1292139790691448541989395251779156338137432272090553848250087813458320821606612542254599629160959611618207
skew: 15513697.59
c0: 3310538919553097346833515713224
c1: -357036874695296251903478
c2: -132108395535328977
c3: 3791457470
c4: 240
Y0: -48169768834820133985914893
Y1: 71652189611
rlim: 2640000
alim: 2640000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 80000
type: gnfs
Factor base limits: 2640000/2640000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1320000, 2280001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 345849 x 346076
Total sieving time: 8.33 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
gnfs,105,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2640000,2640000,26,26,52,52,2.5,2.5,150000
total time: 8.61 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
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)
403e61080 / 2318280CypDecember 7, 2014 19:46:26 UTC 2014 年 12 月 8 日 (月) 4 時 46 分 26 秒 (日本時間)
800KTakahashiMarch 25, 2015 10:19:13 UTC 2015 年 3 月 25 日 (水) 19 時 19 分 13 秒 (日本時間)

10177+2699

c158

name 名前Jo Yeong Uk
date 日付October 15, 2015 00:53:42 UTC 2015 年 10 月 15 日 (木) 9 時 53 分 42 秒 (日本時間)
composite number 合成数
28116213974829523677883601250980773889144016549688930517581785241470240010443044159588484376152167094199928629208484943935813905708229159661589609411162843803<158>
prime factors 素因数
908583296083615734547130324171966253573405826117701479863134776238707<69>
30945114329112677427661972694615342044889839572657162399283827726078909990322397612655929<89>
factorization results 素因数分解の結果
Number: 11141_177
N=28116213974829523677883601250980773889144016549688930517581785241470240010443044159588484376152167094199928629208484943935813905708229159661589609411162843803
  ( 158 digits)
SNFS difficulty: 177 digits.
Divisors found:
 r1=908583296083615734547130324171966253573405826117701479863134776238707
 r2=30945114329112677427661972694615342044889839572657162399283827726078909990322397612655929
Version: 
Total time: 42.24 hours.
Scaled time: 219.10 units (timescale=5.187).
Factorization parameters were as follows:
n: 28116213974829523677883601250980773889144016549688930517581785241470240010443044159588484376152167094199928629208484943935813905708229159661589609411162843803
m: 100000000000000000000000000000000000
deg: 5
c5: 100
c0: 269
skew: 1.22
# Murphy_E = 1.04e-10
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4200000, 8800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18475868
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1489620 x 1489868
Total sieving time: 37.32 hours.
Total relation processing time: 2.12 hours.
Matrix solve time: 2.71 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,53,53,2.5,2.5,100000
total time: 42.24 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49365480k/51380224k available (5395k kernel code, 1086460k absent, 928284k reserved, 7013k data, 1296k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.95 BogoMIPS (lpj=3399977)
Total of 12 processors activated (81599.44 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 03:23:38 UTC 2014 年 12 月 9 日 (火) 12 時 23 分 38 秒 (日本時間)
4511e6600 / 4413KTakahashiMay 6, 2015 00:09:16 UTC 2015 年 5 月 6 日 (水) 9 時 9 分 16 秒 (日本時間)

10178+2699

c162

name 名前Jo Yeong Uk
date 日付November 10, 2015 21:24:18 UTC 2015 年 11 月 11 日 (水) 6 時 24 分 18 秒 (日本時間)
composite number 合成数
741204801664042950012116312469262205878636556144583015065521563982242479264930089045957882949649150897208000121565443229239550139515213701286367435552601348529029<162>
prime factors 素因数
9629606447178302748675588735135627858897748057930428478382157320034199<70>
76971453166835607060911819066318665311175250926216210696428955969814981528939430551847119171<92>
factorization results 素因数分解の結果
Number: 11141_178
N=741204801664042950012116312469262205878636556144583015065521563982242479264930089045957882949649150897208000121565443229239550139515213701286367435552601348529029
  ( 162 digits)
SNFS difficulty: 178 digits.
Divisors found:
 r1=9629606447178302748675588735135627858897748057930428478382157320034199
 r2=76971453166835607060911819066318665311175250926216210696428955969814981528939430551847119171
Version: 
Total time: 46.99 hours.
Scaled time: 244.61 units (timescale=5.206).
Factorization parameters were as follows:
n: 741204801664042950012116312469262205878636556144583015065521563982242479264930089045957882949649150897208000121565443229239550139515213701286367435552601348529029
m: 200000000000000000000000000000000000
deg: 5
c5: 125
c0: 1076
skew: 1.54
# Murphy_E = 9.198e-11
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [5000000, 9800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18542120
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1560307 x 1560555
Total sieving time: 41.40 hours.
Total relation processing time: 2.26 hours.
Matrix solve time: 3.03 hours.
Time per square root: 0.30 hours.
Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,10000000,10000000,28,28,53,53,2.5,2.5,100000
total time: 46.99 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49365480k/51380224k available (5395k kernel code, 1086460k absent, 928284k reserved, 7013k data, 1296k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.95 BogoMIPS (lpj=3399977)
Total of 12 processors activated (81599.44 BogoMIPS).
software ソフトウェア
GGNFS / Msieve 1.39
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 19:13:02 UTC 2014 年 12 月 10 日 (水) 4 時 13 分 2 秒 (日本時間)
4511e6600 / 4413KTakahashiMay 12, 2015 06:47:40 UTC 2015 年 5 月 12 日 (火) 15 時 47 分 40 秒 (日本時間)

10179+2699

c173

name 名前Serge Batalov
date 日付December 11, 2014 01:32:17 UTC 2014 年 12 月 11 日 (木) 10 時 32 分 17 秒 (日本時間)
composite number 合成数
20259815931468336237577947109319332990132051454259717468762909301463832480496381698173719412489649766536011113724627366270526485758666288213305066838145748710614664581526411<173>
prime factors 素因数
841909734962699417851693091399<30>
24064118859922604268186911747493370980241818970634186072128402902962451223244906291305827068731449720289255671828311463648403072134788659948189<143>
factorization results 素因数分解の結果
Input number is 20259815931468336237577947109319332990132051454259717468762909301463832480496381698173719412489649766536011113724627366270526485758666288213305066838145748710614664581526411 (173 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1348562953
Step 1 took 9955ms
Step 2 took 7470ms
********** Factor found in step 2: 841909734962699417851693091399
Found probable prime factor of 30 digits: 841909734962699417851693091399
Probable prime cofactor 24064118859922604268186911747493370980241818970634186072128402902962451223244906291305827068731449720289255671828311463648403072134788659948189 has 143 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)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:46:14 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 14 秒 (日本時間)

10180+2699

c176

name 名前Robert Backstrom
date 日付December 24, 2014 19:27:16 UTC 2014 年 12 月 25 日 (木) 4 時 27 分 16 秒 (日本時間)
composite number 合成数
87973959707926453769684173484648544030966833817190111726928829066596287498900325503650919327878947831441893199612914577285123603413389636667546406263745931204363508401513152107<176>
prime factors 素因数
14938196443282431805609506527604448641518564476019663191<56>
5889195529189035825480199222525972895526387754502803512547772766441851717601638120565552008818345910613201463569930910477<121>
factorization results 素因数分解の結果
Number: n
N=87973959707926453769684173484648544030966833817190111726928829066596287498900325503650919327878947831441893199612914577285123603413389636667546406263745931204363508401513152107
  ( 176 digits)
SNFS difficulty: 180 digits.
Divisors found:

Thu Dec 25 06:23:43 2014  prp56 factor: 14938196443282431805609506527604448641518564476019663191
Thu Dec 25 06:23:43 2014  prp121 factor: 5889195529189035825480199222525972895526387754502803512547772766441851717601638120565552008818345910613201463569930910477
Thu Dec 25 06:23:43 2014  elapsed time 00:22:51 (Msieve 1.44 - dependency 2)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.259).
Factorization parameters were as follows:
#
#  N = 10^180+269 1(178)41
#
n: 87973959707926453769684173484648544030966833817190111726928829066596287498900325503650919327878947831441893199612914577285123603413389636667546406263745931204363508401513152107
m: 1000000000000000000000000000000000000
deg: 5
c5: 1
c0: 269
skew: 3.06
# Murphy_E = 1.013e-10
type: snfs
lss: 1
rlim: 7000000
alim: 7000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 6300000)
Primes: RFBsize:476648, AFBsize:476574,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 3847178 hash collisions in 31462463 relations (29444340 unique)
Msieve: matrix is 738526 x 738758 (206.8 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0hrs 14min 52sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 19sec.

Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,7000000,7000000,28,28,53,53,2.5,2.5,100000
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 19:27:32 UTC 2014 年 12 月 9 日 (火) 4 時 27 分 32 秒 (日本時間)

10181+2699

c128

name 名前Pierre Jammes
date 日付January 7, 2015 07:51:47 UTC 2015 年 1 月 7 日 (水) 16 時 51 分 47 秒 (日本時間)
composite number 合成数
89885116959695091483662343393486332118539626231672476351422103405486727473531331978181993689225453241491883389051658377495712797<128>
prime factors 素因数
393895414065267879724121506035518690131<39>
400266385393234291398932785401643982166767<42>
570108799092437218017169732755313164154417200161<48>
factorization results 素因数分解の結果
Using B1=11000000, B2=144269945836, polynomial Dickson(12), sigma=1109520273
Step 1 took 41140ms
Step 2 took 38772ms
********** Factor found in step 2: 393895414065267879724121506035518690131
Found probable prime factor of 39 digits: 393895414065267879724121506035518690131
Probable prime cofactor 570108799092437218017169732755313164154417200161 has 48 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)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:46:14 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 14 秒 (日本時間)

10183+2699

c165

name 名前KTakahashi
date 日付May 22, 2015 12:22:57 UTC 2015 年 5 月 22 日 (金) 21 時 22 分 57 秒 (日本時間)
composite number 合成数
571020349189724491579364132217868630696540757707617202300567564209937989391555912100032305394019392817912783112993822457764442243495563603673315810595923434947856059<165>
prime factors 素因数
33140265226646483834441538958959253<35>
composite cofactor 合成数の残り
17230409753347256153701288019417416535362086355225944522585217309778860177545558898720926403675216277065803293944613420007888601103<131>
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 571020349189724491579364132217868630696540757707617202300567564209937989391555912100032305394019392817912783112993822457764442243495563603673315810595923434947856059 (165 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3806423843
Step 1 took 50482ms
Step 2 took 20795ms
********** Factor found in step 2: 33140265226646483834441538958959253
Found probable prime factor of 35 digits: 33140265226646483834441538958959253
Composite cofactor 17230409753347256153701288019417416535362086355225944522585217309778860177545558898720926403675216277065803293944613420007888601103 has 131 digits

c131

name 名前Jo Yeong Uk
date 日付April 7, 2016 12:42:52 UTC 2016 年 4 月 7 日 (木) 21 時 42 分 52 秒 (日本時間)
composite number 合成数
17230409753347256153701288019417416535362086355225944522585217309778860177545558898720926403675216277065803293944613420007888601103<131>
prime factors 素因数
498079542514412743842018354244247520154937073392159<51>
34593690932103813815535141348813893207390481957153532280269847814295842301721617<80>
factorization results 素因数分解の結果
Number: 11141_183
N=17230409753347256153701288019417416535362086355225944522585217309778860177545558898720926403675216277065803293944613420007888601103
  ( 131 digits)
Divisors found:
 r1=498079542514412743842018354244247520154937073392159
 r2=34593690932103813815535141348813893207390481957153532280269847814295842301721617
Version: 
Total time: 78.83 hours.
Scaled time: 401.74 units (timescale=5.096).
Factorization parameters were as follows:
name: 11141_183
n: 17230409753347256153701288019417416535362086355225944522585217309778860177545558898720926403675216277065803293944613420007888601103
skew: 132064.33
# norm 7.05e+17
c5: 242460
c4: 126633054429
c3: -8782807144035266
c2: -2620446977581380693125
c1: 117184657293516497865770875
c0: -478213136341072003800735139212
# alpha -6.03
Y1: 4275418243327
Y0: -9339660293571212403805199
# Murphy_E 7.35e-11
# M 5650710382572762901938265218136293704773368922717480089684489345534958831746897752067364793680247857466478115236644566022975398465
type: gnfs
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved algebraic special-q in [4200000, 7000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 19792184
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1392406 x 1392654
Polynomial selection time: 12.24 hours.
Total sieving time: 62.61 hours.
Total relation processing time: 1.41 hours.
Matrix solve time: 2.38 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
gnfs,130,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,8400000,8400000,28,28,55,55,2.6,2.6,100000
total time: 78.83 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49365468k/51380224k available (5397k kernel code, 1086460k absent, 928296k reserved, 7011k data, 1296k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.82 BogoMIPS (lpj=3399914)
Total of 12 processors activated (81597.93 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)
403e6300Serge BatalovDecember 10, 2014 19:46:15 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 15 秒 (日本時間)
4511e64409600KTakahashiMay 22, 2015 19:53:13 UTC 2015 年 5 月 23 日 (土) 4 時 53 分 13 秒 (日本時間)
3809KTakahashiJune 29, 2015 08:54:25 UTC 2015 年 6 月 29 日 (月) 17 時 54 分 25 秒 (日本時間)

10184+2699

c168

name 名前Jo Yeong Uk
date 日付May 31, 2016 00:21:22 UTC 2016 年 5 月 31 日 (火) 9 時 21 分 22 秒 (日本時間)
composite number 合成数
175390426239569666420781474474946142973730682007305148960331928285946067211798547018300807922052258112424198476544489261464089565313474599771211806706922537863215982273<168>
prime factors 素因数
275957536449687240939924612741251791194324530582753472095075908189<66>
635570343524743575830085158989336190418663518789541869273626051611857374568286471485732095795166789557<102>
factorization results 素因数分解の結果
Number: 11141_184
N=175390426239569666420781474474946142973730682007305148960331928285946067211798547018300807922052258112424198476544489261464089565313474599771211806706922537863215982273
  ( 168 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=275957536449687240939924612741251791194324530582753472095075908189
 r2=635570343524743575830085158989336190418663518789541869273626051611857374568286471485732095795166789557
Version: 
Total time: 84.25 hours.
Scaled time: 441.88 units (timescale=5.245).
Factorization parameters were as follows:
n: 175390426239569666420781474474946142973730682007305148960331928285946067211798547018300807922052258112424198476544489261464089565313474599771211806706922537863215982273
m: 10000000000000000000000000000000000000
deg: 5
c5: 1
c0: 2690
skew: 4.85
# Murphy_E = 4.688e-11
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5

Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [3600000, 7500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20655528
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1660527 x 1660775
Total sieving time: 78.50 hours.
Total relation processing time: 2.08 hours.
Matrix solve time: 3.50 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,54,54,2.5,2.5,100000
total time: 84.25 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)
403e6300Serge BatalovDecember 10, 2014 19:46:15 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 15 秒 (日本時間)
4511e6600 / 4409KTakahashiMay 26, 2015 12:00:16 UTC 2015 年 5 月 26 日 (火) 21 時 0 分 16 秒 (日本時間)

10186+2699

c127

name 名前Erik Branger
date 日付February 9, 2015 20:33:09 UTC 2015 年 2 月 10 日 (火) 5 時 33 分 9 秒 (日本時間)
composite number 合成数
7629689273579237863020045677837672492908973602271402347234726451874258696474256349977757370557615537523567592164491803025393917<127>
prime factors 素因数
216546806533664114592353219080095724834934446931459<51>
35233441654994506906585663937527768206225854612887140684965706078176200568063<77>
factorization results 素因数分解の結果
Number: 11141_186
N = 7629689273579237863020045677837672492908973602271402347234726451874258696474256349977757370557615537523567592164491803025393917 (127 digits)
Divisors found:
r1=216546806533664114592353219080095724834934446931459 (pp51)
r2=35233441654994506906585663937527768206225854612887140684965706078176200568063 (pp77)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 34.31 hours.
Factorization parameters were as follows:
# Murphy_E = 1.07e-10, selected by Maksym Voznyy
n: 7629689273579237863020045677837672492908973602271402347234726451874258696474256349977757370557615537523567592164491803025393917
Y0: -6855124570360628949258368
Y1: 1692355901003
c0: -4872257292773999930953365111334905
c1: -8781244586068795499349666323
c2: 2453641125600093460171
c3: 5133284487035151
c4: -2072423334
c5: 504
skew: 1680549.28
type: gnfs
# selected mechanically
rlim: 8100000
alim: 8100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8100000/8100000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 17085245
Relations: 2043254 relations
Pruned matrix : 1188126 x 1188358
Polynomial selection time: 0.00 hours.
Total sieving time: 33.27 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.86 hours.
time per square root: 0.09 hours.
Prototype def-par.txt line would be: gnfs,126,5,65,2000,1e-05,0.28,250,20,50000,3600,8100000,8100000,28,28,53,53,2.5,2.5,100000
total time: 34.31 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)
403e62600280CypDecember 7, 2014 12:05:00 UTC 2014 年 12 月 7 日 (日) 21 時 5 分 0 秒 (日本時間)
2320Serge BatalovDecember 9, 2014 19:25:51 UTC 2014 年 12 月 10 日 (水) 4 時 25 分 51 秒 (日本時間)
4511e6340 / 3900Pierre JammesJanuary 7, 2015 14:19:54 UTC 2015 年 1 月 7 日 (水) 23 時 19 分 54 秒 (日本時間)

10187+2699

c179

name 名前Serge Batalov
date 日付December 11, 2014 01:32:20 UTC 2014 年 12 月 11 日 (木) 10 時 32 分 20 秒 (日本時間)
composite number 合成数
14091290371122413143283592811551986862994358874590470640601347394812170546599899370995375933200812920341342288720374247424517597039251924845957219431449209866613860401478307690757<179>
prime factors 素因数
255349073984900270757288751001551203612587<42>
composite cofactor 合成数の残り
55184419317517019597237090815401340431938872715363310401830985492448836064269693746502077787546038303702864586025201936827919803278352911<137>
factorization results 素因数分解の結果
Input number is 14091290371122413143283592811551986862994358874590470640601347394812170546599899370995375933200812920341342288720374247424517597039251924845957219431449209866613860401478307690757 (179 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3063200519
Step 1 took 13831ms
Step 2 took 9234ms
********** Factor found in step 2: 255349073984900270757288751001551203612587
Found probable prime factor of 42 digits: 255349073984900270757288751001551203612587
Composite cofactor 55184419317517019597237090815401340431938872715363310401830985492448836064269693746502077787546038303702864586025201936827919803278352911 has 137 digits

c137

name 名前Pierre Jammes
date 日付March 3, 2015 10:17:39 UTC 2015 年 3 月 3 日 (火) 19 時 17 分 39 秒 (日本時間)
composite number 合成数
55184419317517019597237090815401340431938872715363310401830985492448836064269693746502077787546038303702864586025201936827919803278352911<137>
prime factors 素因数
83529976557680016410528828229475567<35>
660654074042634044854247403557115664076583779199288447889447037166592590009824199785324600040439057633<102>
factorization results 素因数分解の結果
Using B1=11000000, B2=144269945836, polynomial Dickson(12), sigma=384980501
Step 1 took 73812ms
Step 2 took 58844ms
********** Factor found in step 2: 83529976557680016410528828229475567
Found probable prime factor of 35 digits: 83529976557680016410528828229475567
Probable prime cofactor 660654074042634044854247403557115664076583779199288447889447037166592590009824199785324600040439057633 has 102 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)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:46:16 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 16 秒 (日本時間)

10189+2699

c172

name 名前Serge Batalov
date 日付December 11, 2014 01:32:24 UTC 2014 年 12 月 11 日 (木) 10 時 32 分 24 秒 (日本時間)
composite number 合成数
1927623692205220558158701925398816280528574142476883913781473630142200581084970097477965110009250653428860212633543928031923529088450683312608758736602398909226021324638201<172>
prime factors 素因数
1932166878449360936328311575145810734831<40>
997648657424566525113425404717250913926570828630993000518046963530044780504948617135479274913827078174040465680663564714238483429271<132>
factorization results 素因数分解の結果
Input number is 1927623692205220558158701925398816280528574142476883913781473630142200581084970097477965110009250653428860212633543928031923529088450683312608758736602398909226021324638201 (172 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4100662398
Step 1 took 11002ms
Step 2 took 8314ms
********** Factor found in step 2: 1932166878449360936328311575145810734831
Found probable prime factor of 40 digits: 1932166878449360936328311575145810734831
Probable prime cofactor 997648657424566525113425404717250913926570828630993000518046963530044780504948617135479274913827078174040465680663564714238483429271 has 132 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)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:46:16 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 16 秒 (日本時間)

10190+2699

c183

name 名前Serge Batalov
date 日付December 11, 2014 01:32:27 UTC 2014 年 12 月 11 日 (木) 10 時 32 分 27 秒 (日本時間)
composite number 合成数
387967137166052922054026829246623298924139970938933623439639820621066328452435170788371336848238002630339596558405600941891096926256642045884174971782180196070055846705493641819970911<183>
prime factors 素因数
2966321426804644603097830237015411<34>
130790659993976297885619124869722336060972418878542355599315127143198493719218816204993164489869848292284752527567390893346748283860174371375247750501<150>
factorization results 素因数分解の結果
Input number is 387967137166052922054026829246623298924139970938933623439639820621066328452435170788371336848238002630339596558405600941891096926256642045884174971782180196070055846705493641819970911 (183 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1056969007
Step 1 took 13615ms
Step 2 took 9229ms
********** Factor found in step 2: 2966321426804644603097830237015411
Found probable prime factor of 34 digits: 2966321426804644603097830237015411
Probable prime cofactor 130790659993976297885619124869722336060972418878542355599315127143198493719218816204993164489869848292284752527567390893346748283860174371375247750501 has 150 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)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:46:17 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 17 秒 (日本時間)

10191+2699

c154

name 名前Jo Yeong Uk
date 日付September 2, 2018 09:14:40 UTC 2018 年 9 月 2 日 (日) 18 時 14 分 40 秒 (日本時間)
composite number 合成数
2319872430818885133267710825525209983660568949698787243825955190499577147706546153219623425750567417829161618647219226315161133316598051145698029698441777<154>
prime factors 素因数
5317533903148281445566217853023922465287156066430039<52>
436268479538116188380571388095231379082592493956031286141015722982988169752566475066568486918474485943<102>
factorization results 素因数分解の結果
Number: 11141_191
N=2319872430818885133267710825525209983660568949698787243825955190499577147706546153219623425750567417829161618647219226315161133316598051145698029698441777
  ( 154 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=5317533903148281445566217853023922465287156066430039
 r2=436268479538116188380571388095231379082592493956031286141015722982988169752566475066568486918474485943
Version: 
Total time: 120.77 hours.
Scaled time: 634.17 units (timescale=5.251).
Factorization parameters were as follows:
n: 2319872430818885133267710825525209983660568949698787243825955190499577147706546153219623425750567417829161618647219226315161133316598051145698029698441777
m: 100000000000000000000000000000000000000
deg: 5
c5: 10
c0: 269
skew: 1.93
# Murphy_E = 3.106e-11
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5000000, 10200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 21422519
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1947232 x 1947479
Total sieving time: 112.30 hours.
Total relation processing time: 2.91 hours.
Matrix solve time: 5.42 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,10000000,10000000,28,28,54,54,2.5,2.5,100000
total time: 120.77 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)
403e61300300Serge BatalovDecember 10, 2014 19:46:17 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 17 秒 (日本時間)
1000Dmitry DomanovNovember 24, 2016 20:40:36 UTC 2016 年 11 月 25 日 (金) 5 時 40 分 36 秒 (日本時間)
4511e6400 / 4188Dmitry DomanovJanuary 11, 2017 00:10:33 UTC 2017 年 1 月 11 日 (水) 9 時 10 分 33 秒 (日本時間)

10192+2699

c156

name 名前Cyp
date 日付December 8, 2014 04:28:12 UTC 2014 年 12 月 8 日 (月) 13 時 28 分 12 秒 (日本時間)
composite number 合成数
324168727315362448552122743623529447171369373594402689294296484934058030476313868559549152137424079370125847990973755260982119651316600744714893765846866551<156>
prime factors 素因数
1014672424473047689070005066524647<34>
319481164065056548920021302716365117070044065024178046943379196173548226359384078880155290378166158598081852062566879995633<123>
factorization results 素因数分解の結果
Run 50 out of 280:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=259102189
Step 1 took 13504ms
********** Factor found in step 1: 1014672424473047689070005066524647
Found probable prime factor of 34 digits: 1014672424473047689070005066524647
Probable prime cofactor 319481164065056548920021302716365117070044065024178046943379196173548226359384078880155290378166158598081852062566879995633 has 123 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 / 764Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e650 / 2318CypDecember 8, 2014 04:28:12 UTC 2014 年 12 月 8 日 (月) 13 時 28 分 12 秒 (日本時間)

10199+2699

c195

name 名前Serge Batalov
date 日付December 9, 2014 02:07:41 UTC 2014 年 12 月 9 日 (火) 11 時 7 分 41 秒 (日本時間)
composite number 合成数
936066647945333707759992511466816437330337920059908265468501357296639520733876251989141626883834128989984086866984929326968080127305064120565384255358981559487035476925957128147524103716184592343<195>
prime factors 素因数
1582454403431494445686485137500295046367096450001059221627232123<64>
591528353623022216524230163080913969494966563161569228755824411245203232665991746652976459427023770040460210836015355068520222381141<132>
factorization results 素因数分解の結果
BLanczosTime: 5892
sqrtTime: 562
prp64 factor: 1582454403431494445686485137500295046367096450001059221627232123
prp132 factor: 591528353623022216524230163080913969494966563161569228755824411245203232665991746652976459427023770040460210836015355068520222381141

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)
403e62318Serge BatalovDecember 8, 2014 20:23:25 UTC 2014 年 12 月 9 日 (火) 5 時 23 分 25 秒 (日本時間)
4511e63000 / 3963Serge BatalovDecember 8, 2014 20:23:25 UTC 2014 年 12 月 9 日 (火) 5 時 23 分 25 秒 (日本時間)

10200+2699

c169

name 名前Jo Yeong Uk
date 日付September 16, 2019 14:07:48 UTC 2019 年 9 月 16 日 (月) 23 時 7 分 48 秒 (日本時間)
composite number 合成数
2903568704983182725415601739116734913038437616991213534006615426710369669023880187755118625394859452517635800811121340859698441812566474261157628929140223300868832869381<169>
prime factors 素因数
40740159393830020441583413623812294864753726016329524390657<59>
71270430655774994971700584047688010262456531850831928371333678971150152991296628052980280262138822608651216133<110>
factorization results 素因数分解の結果
Number: 11141_200
N=2903568704983182725415601739116734913038437616991213534006615426710369669023880187755118625394859452517635800811121340859698441812566474261157628929140223300868832869381
  ( 169 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=40740159393830020441583413623812294864753726016329524390657
 r2=71270430655774994971700584047688010262456531850831928371333678971150152991296628052980280262138822608651216133
Version: 
Total time: 216.76 hours.
Scaled time: 1137.78 units (timescale=5.249).
Factorization parameters were as follows:
n: 2903568704983182725415601739116734913038437616991213534006615426710369669023880187755118625394859452517635800811121340859698441812566474261157628929140223300868832869381
m: 10000000000000000000000000000000000000000
deg: 5
c5: 1
c0: 269
skew: 3.06
# Murphy_E = 1.522e-11
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
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, 15900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 38278546
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3097008 x 3097256
Total sieving time: 191.49 hours.
Total relation processing time: 7.94 hours.
Matrix solve time: 17.14 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,200,5,0,0,0,0,0,0,0,0,16000000,16000000,29,29,56,56,2.6,2.6,100000
total time: 216.76 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.. 6799.92 BogoMIPS (lpj=3399964)
Total of 12 processors activated (81599.13 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 8, 2014 05:40:12 UTC 2014 年 12 月 8 日 (月) 14 時 40 分 12 秒 (日本時間)
4511e6591 / 4413CypMay 28, 2015 01:17:14 UTC 2015 年 5 月 28 日 (木) 10 時 17 分 14 秒 (日本時間)

10202+2699

c197

name 名前Bob Backstrom
date 日付May 1, 2021 18:11:50 UTC 2021 年 5 月 2 日 (日) 3 時 11 分 50 秒 (日本時間)
composite number 合成数
12448447865277917822816262154353284460727014252227960956688115342338540519075379086358617375792499312223255443395040289401515971981033544832462564405157142981627335795636321085305478686389987464413<197>
prime factors 素因数
882094768181435044839758467911407550436976742888557700456139535163381162277218752191559<87>
14112370137895931057207954678594813202755383446960516752748222002324057040369743990258912933675262621214616507<110>
factorization results 素因数分解の結果
Number: n
N=12448447865277917822816262154353284460727014252227960956688115342338540519075379086358617375792499312223255443395040289401515971981033544832462564405157142981627335795636321085305478686389987464413
  ( 197 digits)
SNFS difficulty: 202 digits.
Divisors found:

Sun May  2 03:15:37 2021  p87 factor: 882094768181435044839758467911407550436976742888557700456139535163381162277218752191559
Sun May  2 03:15:37 2021  p110 factor: 14112370137895931057207954678594813202755383446960516752748222002324057040369743990258912933675262621214616507
Sun May  2 03:15:37 2021  elapsed time 01:46:23 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.352).
Factorization parameters were as follows:
#
# N = 10^202+269 = 1(200)41
#
n: 12448447865277917822816262154353284460727014252227960956688115342338540519075379086358617375792499312223255443395040289401515971981033544832462564405157142981627335795636321085305478686389987464413
m: 10000000000000000000000000000000000000000
deg: 5
c5: 100
c0: 269
skew: 1.22
# Murphy_E = 9.798e-12
type: snfs
lss: 1
rlim: 16300000
alim: 16300000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16300000/16300000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8043985 hash collisions in 56641539 relations (50703227 unique)
Msieve: matrix is 2094595 x 2094823 (731.0 MB)

Sieving start time : 2021/05/01 14:47:36
Sieving end time  : 2021/05/02 01:28:22

Total sieving time: 10hrs 40min 46secs.

Total relation processing time: 1hrs 26min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 38sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16300000,16300000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118393] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241108K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486128K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.30 BogoMIPS (lpj=12798612)
[    0.152049] smpboot: Total of 16 processors activated (102388.89 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 04:35:16 UTC 2014 年 12 月 8 日 (月) 13 時 35 分 16 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)

10204+2699

c176

name 名前Dmitry Domanov
date 日付November 25, 2016 00:14:14 UTC 2016 年 11 月 25 日 (金) 9 時 14 分 14 秒 (日本時間)
composite number 合成数
21267226861485535082113970511496305444002266972591559434799791698989750800269419164451777730916690656970914169729185232838717422126595129389654479380952069262271715202937235011<176>
prime factors 素因数
39498668007218010765560820669517829719<38>
538428963164002113425861669682032273649605138722855901691844880235883821606172715312333838188654814027183282947464236622350443019244487669<138>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2873546421
Step 1 took 25644ms
Step 2 took 435ms
********** Factor found in step 2: 39498668007218010765560820669517829719
Found probable prime factor of 38 digits: 39498668007218010765560820669517829719

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)
403e61280 / 2318280CypDecember 9, 2014 08:48:17 UTC 2014 年 12 月 9 日 (火) 17 時 48 分 17 秒 (日本時間)
1000Dmitry DomanovNovember 24, 2016 20:41:32 UTC 2016 年 11 月 25 日 (金) 5 時 41 分 32 秒 (日本時間)

10205+2699

c196

name 名前Bob Backstrom
date 日付June 19, 2021 22:11:38 UTC 2021 年 6 月 20 日 (日) 7 時 11 分 38 秒 (日本時間)
composite number 合成数
4874141528358501886764832081761751085723189628916295767526677306167005277909076183733317011977977133188255388087217629204117724089469529381978024202772994746139938117187531297319704358224224468871<196>
prime factors 素因数
358653387869809899528826645963940920213862387235457598233024931459743<69>
13590117069039929418980278635968094296455969979193683592038370566981795520200204860070116714816028639999437605318887783451996697<128>
factorization results 素因数分解の結果
Number: n
N=4874141528358501886764832081761751085723189628916295767526677306167005277909076183733317011977977133188255388087217629204117724089469529381978024202772994746139938117187531297319704358224224468871
  ( 196 digits)
SNFS difficulty: 205 digits.
Divisors found:

Sun Jun 20 08:05:50 2021  p69 factor: 358653387869809899528826645963940920213862387235457598233024931459743
Sun Jun 20 08:05:50 2021  p128 factor: 13590117069039929418980278635968094296455969979193683592038370566981795520200204860070116714816028639999437605318887783451996697
Sun Jun 20 08:05:50 2021  elapsed time 01:48:15 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 10^205+269 = 1(203)41
#
n: 4874141528358501886764832081761751085723189628916295767526677306167005277909076183733317011977977133188255388087217629204117724089469529381978024202772994746139938117187531297319704358224224468871
m: 100000000000000000000000000000000000000000
deg: 5
c5: 1
c0: 269
skew: 3.06
# Murphy_E = 9.38e-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 8280258 hash collisions in 58244467 relations (52171979 unique)
Msieve: matrix is 2182511 x 2182736 (758.8 MB)

Sieving start time : 2021/06/19 19:13:18
Sieving end time  : 2021/06/20 06:16:26

Total sieving time: 11hrs 3min 8secs.

Total relation processing time: 1hrs 30min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 14sec.

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) ----------
[    0.118509] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239976K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2736K init, 4964K bss, 487260K reserved, 0K cma-reserved)
[    0.154060] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798688)
[    0.150212] smpboot: Total of 16 processors activated (102389.50 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 22:52:20 UTC 2014 年 12 月 10 日 (水) 7 時 52 分 20 秒 (日本時間)
4511e6591 / 4413CypMay 12, 2015 04:52:40 UTC 2015 年 5 月 12 日 (火) 13 時 52 分 40 秒 (日本時間)

10206+2699

c178

name 名前Cyp
date 日付December 7, 2014 21:39:39 UTC 2014 年 12 月 8 日 (月) 6 時 39 分 39 秒 (日本時間)
composite number 合成数
2938526652028985416533748302480889961993325755351240646547093224957285252396150127523708314490843129373822492364126488972838711893506910400818819468273686215817629138892402551547<178>
prime factors 素因数
9668571584270987949395355745969<31>
composite cofactor 合成数の残り
303925624009386786675389492427085360136695284080521384179148070975262478438371750118047735035338455256023458507045308183342775203081510217596659563<147>
factorization results 素因数分解の結果
Run 56 out of 280:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3163563664
Step 1 took 15923ms
Step 2 took 5558ms
********** Factor found in step 2: 9668571584270987949395355745969
Found probable prime factor of 31 digits: 9668571584270987949395355745969
Composite cofactor 303925624009386786675389492427085360136695284080521384179148070975262478438371750118047735035338455256023458507045308183342775203081510217596659563 has 147 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

c147

name 名前Bob Backstrom
date 日付November 5, 2021 23:46:30 UTC 2021 年 11 月 6 日 (土) 8 時 46 分 30 秒 (日本時間)
composite number 合成数
303925624009386786675389492427085360136695284080521384179148070975262478438371750118047735035338455256023458507045308183342775203081510217596659563<147>
prime factors 素因数
6889485767183646299255115202145043833959<40>
44114413510665917003896154826557329395969582784478612319924312770792477763458840726392197367526216829592157<107>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 303925624009386786675389492427085360136695284080521384179148070975262478438371750118047735035338455256023458507045308183342775203081510217596659563 (147 digits)
Using B1=36060000, B2=192389627446, polynomial Dickson(12), sigma=1:131840793
Step 1 took 72986ms
Step 2 took 27687ms
********** Factor found in step 2: 6889485767183646299255115202145043833959
Found prime factor of 40 digits: 6889485767183646299255115202145043833959
Prime cofactor 44114413510665917003896154826557329395969582784478612319924312770792477763458840726392197367526216829592157 has 107 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)
403e61280280CypDecember 7, 2014 21:39:38 UTC 2014 年 12 月 8 日 (月) 6 時 39 分 38 秒 (日本時間)
1000Dmitry DomanovNovember 24, 2016 20:41:11 UTC 2016 年 11 月 25 日 (金) 5 時 41 分 11 秒 (日本時間)
4511e6500 / 4192Dmitry DomanovJanuary 11, 2017 00:11:08 UTC 2017 年 1 月 11 日 (水) 9 時 11 分 8 秒 (日本時間)

10207+2699

c157

name 名前ebina
date 日付October 20, 2023 07:08:52 UTC 2023 年 10 月 20 日 (金) 16 時 8 分 52 秒 (日本時間)
composite number 合成数
2561860176576224220045295686073446982155595133043624697903792472513677442798941638024319061489843282133103292838357951364478692307421341633868721724154620447<157>
prime factors 素因数
35352217687276185272119150772230885731056306876382880973<56>
72466745912188633896209593437181791652095843053636148921010176832309823928812516998252637965573712539<101>
factorization results 素因数分解の結果
Number: 11141_207
N = 2561860176576224220045295686073446982155595133043624697903792472513677442798941638024319061489843282133103292838357951364478692307421341633868721724154620447 (157 digits)
SNFS difficulty: 208 digits.
Divisors found:
r1=35352217687276185272119150772230885731056306876382880973 (pp56)
r2=72466745912188633896209593437181791652095843053636148921010176832309823928812516998252637965573712539 (pp101)
Version: Msieve v. 1.54 (SVN 1018)
Total time: 93.48 hours.
Factorization parameters were as follows:
n: 2561860176576224220045295686073446982155595133043624697903792472513677442798941638024319061489843282133103292838357951364478692307421341633868721724154620447
m: 100000000000000000000000000000000000000000
deg: 5
c5: 100
c0: 269
skew: 1.22
# Murphy_E = 6.033e-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
Sieved rational special-q in [0, 0)
Total raw relations: 41327690
Relations: 6924552 relations
Pruned matrix : 4215712 x 4215946
Total sieving time: 83.69 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 9.39 hours.
time per square root: 0.15 hours.
Prototype def-par.txt line would be: snfs,208,5,0,0,0,0,0,0,0,0,19700000,19700000,29,29,56,56,2.6,2.6,100000
total time: 93.48 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 8, speed: 3.19GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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 19:46:18 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 18 秒 (日本時間)
4511e6585 / 4409CypMay 31, 2015 07:34:19 UTC 2015 年 5 月 31 日 (日) 16 時 34 分 19 秒 (日本時間)

10208+2699

c180

composite cofactor 合成数の残り
155870798481463653618481779600882232068284415844471024419939052366601750782287858297691268968448048137651000910305513043800869010795052956718467184063704703969377480918859316490037<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)
403e6280CypDecember 7, 2014 20:09:00 UTC 2014 年 12 月 8 日 (月) 5 時 9 分 0 秒 (日本時間)
4511e6591 / 4413CypJune 18, 2015 19:14:07 UTC 2015 年 6 月 19 日 (金) 4 時 14 分 7 秒 (日本時間)

10209+2699

c144

name 名前Robert Balfour
date 日付March 25, 2020 22:08:51 UTC 2020 年 3 月 26 日 (木) 7 時 8 分 51 秒 (日本時間)
composite number 合成数
417742380558674750616783968053169531566658648797843723399195881653976901731834042068545335621490516669441600189882523501073672930134190976564217<144>
prime factors 素因数
41424145166524092966486672245667779233079769721<47>
10084514209752794386704994358876811435175766578345611991253383703226056879451304061439205149371777<98>
factorization results 素因数分解の結果
PID3630 2020-03-25 15:20:44,351 Debug:root: Root parameter dictionary:
N = 417742380558674750616783968053169531566658648797843723399195881653976901731834042068545335621490516669441600189882523501073672930134190976564217
name = 11141_209
tasks.I = 14
tasks.lim0 = 10000000
tasks.lim1 = 20000000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.qmin = 500000
tasks.threads = 6
tasks.wutimeout = 1800
tasks.filter.target_density = 145.0
tasks.filter.purge.keep = 175
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.bwc.interleaving = 0
tasks.linalg.bwc.threads = 6
tasks.linalg.characters.nchar = 50
tasks.polyselect.P = 300000
tasks.polyselect.admax = 20e4
tasks.polyselect.admin = 12600
tasks.polyselect.adrange = 840
tasks.polyselect.degree = 5
tasks.polyselect.incr = 60
tasks.polyselect.nq = 15625
tasks.polyselect.nrkeep = 100
tasks.polyselect.threads = 2
tasks.sieve.mfb0 = 58
tasks.sieve.mfb1 = 58
tasks.sieve.qrange = 5000
tasks.sieve.las.threads = 2
PID3655 2020-03-25 15:45:23,249 Info:Polynomial Selection (root optimized): Best polynomial is:
n: 417742380558674750616783968053169531566658648797843723399195881653976901731834042068545335621490516669441600189882523501073672930134190976564217
skew: 561347.342
c0: 7544139692628995473780039513750800
c1: 23454702878556736431079318232
c2: -213868967097108367673847
c3: -94365289439008097
c4: 213328348962
c5: 90000
Y0: 834436967753579907974799173
Y1: 13628606695600595891131
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=6.711e+13) = 4.199e-07
PID3655 2020-03-25 20:53:16,455 Info:Square Root: Factors: 41424145166524092966486672245667779233079769721 10084514209752794386704994358876811435175766578345611991253383703226056879451304061439205149371777
PID3655 2020-03-25 20:53:16,455 Debug:Square Root: Exit SqrtTask.run(sqrt)
PID3655 2020-03-25 20:53:16,455 Info:Polynomial Selection (size optimized): Aggregate statistics:
PID3655 2020-03-25 20:53:16,455 Info:Polynomial Selection (size optimized): potential collisions: 144726
PID3655 2020-03-25 20:53:16,456 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 146741/42.760/52.291/58.400/1.230
PID3655 2020-03-25 20:53:16,456 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 121858/42.000/46.192/52.460/0.971
PID3655 2020-03-25 20:53:16,456 Info:Polynomial Selection (size optimized): Total time: 63474.9
PID3655 2020-03-25 20:53:16,456 Info:Polynomial Selection (root optimized): Aggregate statistics:
PID3655 2020-03-25 20:53:16,456 Info:Polynomial Selection (root optimized): Total time: 2314.27
PID3655 2020-03-25 20:53:16,456 Info:Polynomial Selection (root optimized): Rootsieve time: 2311.88
PID3655 2020-03-25 20:53:16,456 Info:Generate Factor Base: Total cpu/real time for makefb: 14.31/3.24467
PID3655 2020-03-25 20:53:16,457 Info:Generate Free Relations: Total cpu/real time for freerel: 340.08/57.8549
PID3655 2020-03-25 20:53:16,457 Info:Lattice Sieving: Aggregate statistics:
PID3655 2020-03-25 20:53:16,457 Info:Lattice Sieving: Total number of relations: 56121332
PID3655 2020-03-25 20:53:16,457 Info:Lattice Sieving: Average J: 7987.19 for 371289 special-q, max bucket fill -bkmult 1.0,1s:1.095530
PID3655 2020-03-25 20:53:16,457 Info:Lattice Sieving: Total time: 415148s
PID3655 2020-03-25 20:53:16,457 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 92.25/139.814
PID3655 2020-03-25 20:53:16,458 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
PID3655 2020-03-25 20:53:16,458 Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 136.3s
PID3655 2020-03-25 20:53:16,458 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 888.58/540.256
PID3655 2020-03-25 20:53:16,458 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
PID3655 2020-03-25 20:53:16,458 Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 427.4s
PID3655 2020-03-25 20:53:16,458 Info:Filtering - Singleton removal: Total cpu/real time for purge: 685.8/479.24
PID3655 2020-03-25 20:53:16,458 Info:Filtering - Merging: Total cpu/real time for merge: 201.54/45.9062
PID3655 2020-03-25 20:53:16,459 Info:Filtering - Merging: Total cpu/real time for replay: 68.18/67.2727
PID3655 2020-03-25 20:53:16,459 Info:Linear Algebra: Total cpu/real time for bwc: 58241.6/10170
PID3655 2020-03-25 20:53:16,459 Info:Linear Algebra: Aggregate statistics:
PID3655 2020-03-25 20:53:16,459 Info:Linear Algebra: Krylov: WCT time 6423.88, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (77824 iterations)
PID3655 2020-03-25 20:53:16,459 Info:Linear Algebra: Lingen CPU time 318.39, WCT time 59.65
PID3655 2020-03-25 20:53:16,459 Info:Linear Algebra: Mksol: WCT time 3541.07, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (38912 iterations)
PID3655 2020-03-25 20:53:16,459 Info:Quadratic Characters: Total cpu/real time for characters: 82.6/25.6942
PID3655 2020-03-25 20:53:16,460 Info:Square Root: Total cpu/real time for sqrt: 2230.56/404.428
PID3655 2020-03-25 20:53:16,460 Info:HTTP server: Shutting down HTTP server
PID3655 2020-03-25 20:53:16,630 Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 945948/19930.3
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)
403e62320Serge BatalovDecember 9, 2014 00:57:27 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 27 秒 (日本時間)
4511e61028 / 3962228Pierre JammesApril 10, 2015 19:43:17 UTC 2015 年 4 月 11 日 (土) 4 時 43 分 17 秒 (日本時間)
800Dmitry DomanovFebruary 29, 2016 23:19:14 UTC 2016 年 3 月 1 日 (火) 8 時 19 分 14 秒 (日本時間)

10210+2699

c147

name 名前Cyp
date 日付May 22, 2015 21:06:46 UTC 2015 年 5 月 23 日 (土) 6 時 6 分 46 秒 (日本時間)
composite number 合成数
203214391407076439224212339995008546323980934532959182032580971876218149771343516681770726305596455299355562247738122682347183867183221252704215541<147>
prime factors 素因数
3743736567965927780726319482248218869599<40>
54281167415977736354135720675997846678600915692489205014148495827784016720204429428782356409130618496770859<107>
factorization results 素因数分解の結果
Run 430 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=619252126
Step 1 took 42229ms
Step 2 took 15630ms
********** Factor found in step 2: 3743736567965927780726319482248218869599
Found probable prime factor of 40 digits: 3743736567965927780726319482248218869599
Probable prime cofactor 54281167415977736354135720675997846678600915692489205014148495827784016720204429428782356409130618496770859 has 107 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 / 834Serge BatalovDecember 10, 2014 19:46:18 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 18 秒 (日本時間)
4511e6430 / 4409CypMay 22, 2015 21:06:45 UTC 2015 年 5 月 23 日 (土) 6 時 6 分 45 秒 (日本時間)

10212+2699

c206

name 名前Cyp
date 日付February 10, 2015 08:54:09 UTC 2015 年 2 月 10 日 (火) 17 時 54 分 9 秒 (日本時間)
composite number 合成数
18309756775021976285569220127036754456457475864536363085406409769793259043326194359166752264779589894405801702770760563493750605366333374164090941632340450152694216625295771233504511249423013789627119972301<206>
prime factors 素因数
79420275833717475227182107857407901832869<41>
230542598635103983450028688188120161502880823284620352800657345784912265723449705988926919160105794496266716361862005116647237913484716355704162913617556329176273929<165>
factorization results 素因数分解の結果
Run 208 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1603035113
Step 1 took 69517ms
Step 2 took 21592ms
********** Factor found in step 2: 79420275833717475227182107857407901832869
Found probable prime factor of 41 digits: 79420275833717475227182107857407901832869
Probable prime cofactor 230542598635103983450028688188120161502880823284620352800657345784912265723449705988926919160105794496266716361862005116647237913484716355704162913617556329176273929 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 / 1601Serge BatalovDecember 10, 2014 19:46:19 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 19 秒 (日本時間)
4511e6208 / 4409CypFebruary 10, 2015 08:54:08 UTC 2015 年 2 月 10 日 (火) 17 時 54 分 8 秒 (日本時間)

10213+2699

c192

composite cofactor 合成数の残り
280484629669273446899736742593361860314542241548067435827559162867221288398337090269029465159476743886930708118914225779378671251106034856727620195699465068918760351809908176877832442914607957<192>

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 06:55:10 UTC 2014 年 12 月 9 日 (火) 15 時 55 分 10 秒 (日本時間)
4511e6591 / 4413CypFebruary 3, 2015 23:12:06 UTC 2015 年 2 月 4 日 (水) 8 時 12 分 6 秒 (日本時間)

10214+2699

c170

name 名前Cyp
date 日付June 8, 2015 06:29:44 UTC 2015 年 6 月 8 日 (月) 15 時 29 分 44 秒 (日本時間)
composite number 合成数
39920814116899151285815252156370052023694765170017010877309513628823865780167752978614487268702421337143618810202354002988622046606088593536935069447673725409227274869727<170>
prime factors 素因数
26027590522407869410333160809841237837093<41>
1533788311389416669249725195261448593817871567740641428058836608842820939707214719461187118020107830918209680809367722904399906739<130>
factorization results 素因数分解の結果
Run 5 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2027973294
Step 1 took 50175ms
Step 2 took 17367ms
********** Factor found in step 2: 26027590522407869410333160809841237837093
Found probable prime factor of 41 digits: 26027590522407869410333160809841237837093
Probable prime cofactor 1533788311389416669249725195261448593817871567740641428058836608842820939707214719461187118020107830918209680809367722904399906739 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

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 / 2301Serge BatalovDecember 10, 2014 19:46:19 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 19 秒 (日本時間)
4511e65 / 4409CypJune 8, 2015 06:29:43 UTC 2015 年 6 月 8 日 (月) 15 時 29 分 43 秒 (日本時間)

10215+2699

c181

composite cofactor 合成数の残り
8704005559349698337646404044291114982845620550150088994738301906439705214929673140858500036752999214587284603701478682072695726177662160668940043737237850989659964163394606694980003<181>

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 10:53:02 UTC 2014 年 12 月 7 日 (日) 19 時 53 分 2 秒 (日本時間)
4511e6863 / 4413463CypJuly 11, 2015 07:22:57 UTC 2015 年 7 月 11 日 (土) 16 時 22 分 57 秒 (日本時間)
400Dmitry DomanovJanuary 11, 2017 00:11:47 UTC 2017 年 1 月 11 日 (水) 9 時 11 分 47 秒 (日本時間)

10217+2699

c196

name 名前Cyp
date 日付December 10, 2014 00:01:48 UTC 2014 年 12 月 10 日 (水) 9 時 1 分 48 秒 (日本時間)
composite number 合成数
3541780769566682273831040344056923472795099674338076192737881157091257775598968802239612855495169408366053020550797198965127997124597323571630887239585042300053696714184952908381711261837664816287<196>
prime factors 素因数
4753391676893910098159385253643<31>
composite cofactor 合成数の残り
745106023301881272407501573564810448048776475749612005581123955478794246438695288199253273348896269935802656125309701682928936853621476806556348395678206345902984509<165>
factorization results 素因数分解の結果
Run 237 out of 280:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2938003946
Step 1 took 18937ms
Step 2 took 6184ms
********** Factor found in step 2: 4753391676893910098159385253643
Found probable prime factor of 31 digits: 4753391676893910098159385253643
Composite cofactor 745106023301881272407501573564810448048776475749612005581123955478794246438695288199253273348896269935802656125309701682928936853621476806556348395678206345902984509 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)
403e6280CypDecember 10, 2014 00:01:47 UTC 2014 年 12 月 10 日 (水) 9 時 1 分 47 秒 (日本時間)
4511e6735 / 4413335CypJanuary 8, 2015 14:28:24 UTC 2015 年 1 月 8 日 (木) 23 時 28 分 24 秒 (日本時間)
400Dmitry DomanovJanuary 11, 2017 00:12:09 UTC 2017 年 1 月 11 日 (水) 9 時 12 分 9 秒 (日本時間)

10218+2699

c209

name 名前Bob Backstrom
date 日付March 8, 2020 16:20:55 UTC 2020 年 3 月 9 日 (月) 1 時 20 分 55 秒 (日本時間)
composite number 合成数
67805553285256117681967595269075546958733554509759316682539234732435628626779620059406926916463125075078970229223934855565156754095194536563204485078061383929365268140582965038486428654433708133478922976347517<209>
prime factors 素因数
2988564448380864587104265782705468696134309441680154546017789587270169557127954845058215899792881<97>
22688335639538108463951022562806989131139253833362657577506500314371783855872635068589615623831953829446121569357<113>
factorization results 素因数分解の結果
Number: n
N=67805553285256117681967595269075546958733554509759316682539234732435628626779620059406926916463125075078970229223934855565156754095194536563204485078061383929365268140582965038486428654433708133478922976347517
  ( 209 digits)
SNFS difficulty: 218 digits.
Divisors found:

Mon Mar  9 03:04:25 2020  p97 factor: 2988564448380864587104265782705468696134309441680154546017789587270169557127954845058215899792881
Mon Mar  9 03:04:25 2020  p113 factor: 22688335639538108463951022562806989131139253833362657577506500314371783855872635068589615623831953829446121569357
Mon Mar  9 03:04:25 2020  elapsed time 06:19:06 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.133).
Factorization parameters were as follows:
#
# N = 10^218+269 = 1(216)41
#
n: 67805553285256117681967595269075546958733554509759316682539234732435628626779620059406926916463125075078970229223934855565156754095194536563204485078061383929365268140582965038486428654433708133478922976347517
m: 1000000000000000000000000000000000000
deg: 6
c6: 100
c0: 269
skew: 1.18
# Murphy_E = 2.671e-12
type: snfs
lss: 1
rlim: 30000000
alim: 30000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 30000000/30000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 19000000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 10894796 hash collisions in 61703514 relations (52857147 unique)
Msieve: matrix is 3801426 x 3801651 (1342.6 MB)

Sieving start time: 2020/03/07 14:15:35
Sieving end time  : 2020/03/08 20:43:33

Total sieving time: 30hrs 27min 58secs.

Total relation processing time: 5hrs 44min 28sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 15min 6sec.

Prototype def-par.txt line would be:
snfs,218,6,0,0,0,0,0,0,0,0,30000000,30000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149125] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283236K/16703460K available (12300K kernel code, 2481K rwdata, 4264K rodata, 2428K init, 2712K bss, 420224K reserved, 0K cma-reserved)
[    0.184569] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.72 BogoMIPS (lpj=11977448)
[    0.182219] smpboot: Total of 16 processors activated (95819.58 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 19:46:19 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 19 秒 (日本時間)
4511e6585 / 4409CypJune 26, 2015 21:22:56 UTC 2015 年 6 月 27 日 (土) 6 時 22 分 56 秒 (日本時間)

10219+2699

c162

name 名前Erik Branger
date 日付October 24, 2019 14:43:23 UTC 2019 年 10 月 24 日 (木) 23 時 43 分 23 秒 (日本時間)
composite number 合成数
210218064442856771350375696541600581689096897659622582713440723988958955682366544009500118585365672543530739742639394281620233289111547067729392042874433664467819<162>
prime factors 素因数
184132481533488242269452132350348442976102137649676187674898635063<66>
1141667470574029789006237737967756338629384759841870275670547431958479213711217979230486368924013<97>
factorization results 素因数分解の結果
Number: 11141_219
N = 210218064442856771350375696541600581689096897659622582713440723988958955682366544009500118585365672543530739742639394281620233289111547067729392042874433664467819 (162 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=184132481533488242269452132350348442976102137649676187674898635063 (pp66)
r2=1141667470574029789006237737967756338629384759841870275670547431958479213711217979230486368924013 (pp97)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 44.84 hours.
Factorization parameters were as follows:
n: 210218064442856771350375696541600581689096897659622582713440723988958955682366544009500118585365672543530739742639394281620233289111547067729392042874433664467819
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1
c0: 2690
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 33368795
Relations: 7276286 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 23.75 hours.
Total relation processing time: 0.33 hours.
Pruned matrix : 6420836 x 6421061
Matrix solve time: 20.60 hours.
time per square root: 0.15 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 44.84 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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 00:46:36 UTC 2014 年 12 月 8 日 (月) 9 時 46 分 36 秒 (日本時間)
4511e6591 / 4413CypJune 16, 2015 06:05:33 UTC 2015 年 6 月 16 日 (火) 15 時 5 分 33 秒 (日本時間)

10220+2699

c182

name 名前Erik Branger
date 日付December 26, 2017 17:45:13 UTC 2017 年 12 月 27 日 (水) 2 時 45 分 13 秒 (日本時間)
composite number 合成数
32074897737552946915813001085181872849466511620083734318653351913724636312420342688441362798192855425409358046260299427619109497236342162105066510132017005965876974972528727900964267<182>
prime factors 素因数
5907407600044812513347477220468115526818261945962871622603946699072299891409691<79>
5429606336510389533538634165268773934453198206540668197201282339408159733004740199463112630020975042737<103>
factorization results 素因数分解の結果
Number: 11141_220
N = 32074897737552946915813001085181872849466511620083734318653351913724636312420342688441362798192855425409358046260299427619109497236342162105066510132017005965876974972528727900964267 (182 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=5907407600044812513347477220468115526818261945962871622603946699072299891409691 (pp79)
r2=5429606336510389533538634165268773934453198206540668197201282339408159733004740199463112630020975042737 (pp103)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 66.05 hours.
Factorization parameters were as follows:
n: 32074897737552946915813001085181872849466511620083734318653351913724636312420342688441362798192855425409358046260299427619109497236342162105066510132017005965876974972528727900964267
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1
c0: 269
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 67108864
lpbr: 29
lpba: 26
mfbr: 58
mfba: 52
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 4
Number of threads per core: 1
Factor base limits: 536870912/67108864
Large primes per side: 3
Large prime bits: 29/26
Total raw relations: 28278889
Relations: 7463806 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 41.10 hours.
Total relation processing time: 0.24 hours.
Pruned matrix : 6429472 x 6429698
Matrix solve time: 24.59 hours.
time per square root: 0.12 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,67108864,29,26,58,52,2.8,2.8,100000
total time: 66.05 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.15063-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)
403e6300Serge BatalovDecember 10, 2014 19:46:20 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 20 秒 (日本時間)
4511e6585 / 4409329CypJanuary 7, 2015 00:17:55 UTC 2015 年 1 月 7 日 (水) 9 時 17 分 55 秒 (日本時間)
256CypJanuary 27, 2015 05:34:51 UTC 2015 年 1 月 27 日 (火) 14 時 34 分 51 秒 (日本時間)

10221+2699

c166

name 名前Erik Branger
date 日付August 20, 2019 17:26:51 UTC 2019 年 8 月 21 日 (水) 2 時 26 分 51 秒 (日本時間)
composite number 合成数
2133080725335198849371691112120454401877570638375429790609248211156814654300446504824506170016535130988148089216623213479911695633924170507658423980686380760953694023<166>
prime factors 素因数
318488722402848522634589535533554795065077<42>
6697507871682557406007107524538894040683848548570758693128250585228869097275588344097924939135354467102159086577174452068299<124>
factorization results 素因数分解の結果
Number: 11141_221
N = 2133080725335198849371691112120454401877570638375429790609248211156814654300446504824506170016535130988148089216623213479911695633924170507658423980686380760953694023 (166 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=318488722402848522634589535533554795065077 (pp42)
r2=6697507871682557406007107524538894040683848548570758693128250585228869097275588344097924939135354467102159086577174452068299 (pp124)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 95.23 hours.
Factorization parameters were as follows:
n: 2133080725335198849371691112120454401877570638375429790609248211156814654300446504824506170016535130988148089216623213479911695633924170507658423980686380760953694023
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 10
c0: 269
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: 8316850 relations
Pruned matrix : 7230209 x 7230434
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 43.65 hours.
Total relation processing time: 0.44 hours.
Matrix solve time: 50.49 hours.
time per square root: 0.66 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: 95.23 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)
403e61280280CypDecember 7, 2014 01:32:10 UTC 2014 年 12 月 7 日 (日) 10 時 32 分 10 秒 (日本時間)
1000Dmitry DomanovNovember 28, 2016 08:18:28 UTC 2016 年 11 月 28 日 (月) 17 時 18 分 28 秒 (日本時間)
4511e6400 / 4192Dmitry DomanovJanuary 11, 2017 00:12:45 UTC 2017 年 1 月 11 日 (水) 9 時 12 分 45 秒 (日本時間)

10222+2699

c147

name 名前Erik Branger
date 日付September 19, 2018 14:59:33 UTC 2018 年 9 月 19 日 (水) 23 時 59 分 33 秒 (日本時間)
composite number 合成数
332527305597441222704673876407611456896968344471361918475183577150439923646527396045833301103477373183382677268550721648347766909063334801688397023<147>
prime factors 素因数
1882442731518021975558546513440415340933223735466856743212922526952213161<73>
176646704853160469231152511506652695878981641725093697381866078049104515143<75>
factorization results 素因数分解の結果
Number: 11141_222
N = 332527305597441222704673876407611456896968344471361918475183577150439923646527396045833301103477373183382677268550721648347766909063334801688397023 (147 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=1882442731518021975558546513440415340933223735466856743212922526952213161 (pp73)
r2=176646704853160469231152511506652695878981641725093697381866078049104515143 (pp75)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 42.23 hours.
Factorization parameters were as follows:
n: 332527305597441222704673876407611456896968344471361918475183577150439923646527396045833301103477373183382677268550721648347766909063334801688397023
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 100
c0: 269
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30240047
Relations: 9343138 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 17.06 hours.
Total relation processing time: 0.26 hours.
Pruned matrix : 8026089 x 8026314
Matrix solve time: 24.75 hours.
time per square root: 0.15 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 42.23 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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 15:24:17 UTC 2014 年 12 月 9 日 (火) 0 時 24 分 17 秒 (日本時間)
2320Serge BatalovDecember 9, 2014 19:25:58 UTC 2014 年 12 月 10 日 (水) 4 時 25 分 58 秒 (日本時間)
4511e6900 / 1445800Dmitry DomanovMarch 1, 2016 13:18:59 UTC 2016 年 3 月 1 日 (火) 22 時 18 分 59 秒 (日本時間)
100Rich DickersonOctober 12, 2016 22:29:09 UTC 2016 年 10 月 13 日 (木) 7 時 29 分 9 秒 (日本時間)
5043e6700 / 7252Rich DickersonOctober 13, 2016 03:48:02 UTC 2016 年 10 月 13 日 (木) 12 時 48 分 2 秒 (日本時間)

10223+2699

c211

name 名前Bob Backstrom
date 日付April 23, 2020 19:46:32 UTC 2020 年 4 月 24 日 (金) 4 時 46 分 32 秒 (日本時間)
composite number 合成数
1624325513662634849717351689999159868857660377529824225073902885441336479071473345332706758338328572640511493847324495877487950778346547938899475855274644837552379846350379691064428189464799563088983240149422001<211>
prime factors 素因数
289595167118063046107121041113552039914095221553101650995442625576625463799321994585966689463<93>
5608952420813103008194353358342109008777140005035511588324370597316472093375671181343283291515120867594397224872525527<118>
factorization results 素因数分解の結果
Number: n
N=1624325513662634849717351689999159868857660377529824225073902885441336479071473345332706758338328572640511493847324495877487950778346547938899475855274644837552379846350379691064428189464799563088983240149422001  ( 211 digits)
SNFS difficulty: 223 digits.
Divisors found:

Fri Apr 24 05:39:57 2020  p93 factor: 289595167118063046107121041113552039914095221553101650995442625576625463799321994585966689463
Fri Apr 24 05:39:57 2020  p118 factor: 5608952420813103008194353358342109008777140005035511588324370597316472093375671181343283291515120867594397224872525527
Fri Apr 24 05:39:57 2020  elapsed time 10:10:32 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.117).
Factorization parameters were as follows:
#
# N = 10^223+269 = 1(221)41
#
n: 1624325513662634849717351689999159868857660377529824225073902885441336479071473345332706758338328572640511493847324495877487950778346547938899475855274644837552379846350379691064428189464799563088983240149422001
m: 10000000000000000000000000000000000000
deg: 6
c6: 10
c0: 269
skew: 1.73
# Murphy_E = 2.112e-12
type: snfs
lss: 1
rlim: 36000000
alim: 36000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 36000000/36000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 79600000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9041977 hash collisions in 57110733 relations (50352746 unique)
Msieve: matrix is 4654140 x 4654366 (1641.4 MB)

Sieving start time: 2020/04/22 05:59:02
Sieving end time  : 2020/04/23 19:28:21

Total sieving time: 37hrs 29min 19secs.

Total relation processing time: 9hrs 34min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 17min 2sec.
Prototype def-par.txt line would be:
snfs,223,6,0,0,0,0,0,0,0,0,36000000,36000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.141282] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283232K/16703460K available (12300K kernel code, 2481K rwdata, 4264K rodata, 2432K init, 2712K bss, 420228K reserved, 0K cma-reserved)
[    0.176568] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.77 BogoMIPS (lpj=11977540)
[    0.174220] smpboot: Total of 16 processors activated (95820.32 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 16:37:50 UTC 2014 年 12 月 10 日 (水) 1 時 37 分 50 秒 (日本時間)
4511e6591 / 4413CypJune 3, 2015 21:27:53 UTC 2015 年 6 月 4 日 (木) 6 時 27 分 53 秒 (日本時間)

10224+2699

c214

composite cofactor 合成数の残り
9319606608896250077092834324533281465845598476400814279639698226616130812786043196619128398082587752293049760883950178090240590130135317557505313622868987058909173636154833712340811600306851887275831899043313332383<214>

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 19:46:20 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 20 秒 (日本時間)
4511e6585 / 4409CypJune 25, 2015 11:34:46 UTC 2015 年 6 月 25 日 (木) 20 時 34 分 46 秒 (日本時間)

10227+2699

c179

name 名前Cyp
date 日付December 7, 2014 04:29:31 UTC 2014 年 12 月 7 日 (日) 13 時 29 分 31 秒 (日本時間)
composite number 合成数
16182278043244917794210045101521171410577352096045291732156263012912434814383213545142706151034497577602305496013050365082119999896533836627212727609861048490600121012494514108239<179>
prime factors 素因数
1618759371930770537403598131252621083<37>
composite cofactor 合成数の残り
9996716203683536162235605548360866248503059614161532710420104244585394346724384076785185662665680094679134835348574774165271435187884589037533<142>
factorization results 素因数分解の結果
Run 240 out of 280:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2153121215
Step 1 took 16074ms
Step 2 took 5481ms
********** Factor found in step 2: 1618759371930770537403598131252621083
Found probable prime factor of 37 digits: 1618759371930770537403598131252621083
Composite cofactor 9996716203683536162235605548360866248503059614161532710420104244585394346724384076785185662665680094679134835348574774165271435187884589037533 has 142 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

c142

name 名前Serge Batalov
date 日付December 9, 2014 19:55:14 UTC 2014 年 12 月 10 日 (水) 4 時 55 分 14 秒 (日本時間)
composite number 合成数
9996716203683536162235605548360866248503059614161532710420104244585394346724384076785185662665680094679134835348574774165271435187884589037533<142>
prime factors 素因数
292305975118230264954202969668166270545041<42>
34199493183949185512878533616419363450680616115941570961533656844357760750863810644620610796069072013<101>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3230261561
Step 1 took 9147ms
Step 2 took 7480ms
********** Factor found in step 2: 292305975118230264954202969668166270545041
Found probable prime factor of 42 digits: 292305975118230264954202969668166270545041
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)
403e62600280CypDecember 7, 2014 04:29:30 UTC 2014 年 12 月 7 日 (日) 13 時 29 分 30 秒 (日本時間)
2320Serge BatalovDecember 9, 2014 19:25:57 UTC 2014 年 12 月 10 日 (水) 4 時 25 分 57 秒 (日本時間)

10228+2699

c171

composite cofactor 合成数の残り
376120182553628023785896890653068499953144987007504838899595797271627700192316659103071169275574331643263788458684355170565922282200827059266952530323634614971848989225197<171>

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 19:46:21 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 21 秒 (日本時間)
4511e6585 / 4409CypFebruary 1, 2015 05:39:16 UTC 2015 年 2 月 1 日 (日) 14 時 39 分 16 秒 (日本時間)

10231+2699

c189

name 名前Serge Batalov
date 日付December 11, 2014 01:32:30 UTC 2014 年 12 月 11 日 (木) 10 時 32 分 30 秒 (日本時間)
composite number 合成数
105152847383609514925190866111885426621431244545482822989700878114890465906410071728440888975883723922511062475060126365625555416398635696902448398082803173644551233027599494069248666605971<189>
prime factors 素因数
58216652889230486868489722326231<32>
1806233133733831791238316400844438045978866402655916119405460286263640975023508781127771317978197424180057244805617183837818312350621701257370346655260165541<157>
factorization results 素因数分解の結果
Input number is 105152847383609514925190866111885426621431244545482822989700878114890465906410071728440888975883723922511062475060126365625555416398635696902448398082803173644551233027599494069248666605971 (189 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1013460635
Step 1 took 13608ms
Step 2 took 9500ms
********** Factor found in step 2: 58216652889230486868489722326231
Found probable prime factor of 32 digits: 58216652889230486868489722326231
Probable prime cofactor 1806233133733831791238316400844438045978866402655916119405460286263640975023508781127771317978197424180057244805617183837818312350621701257370346655260165541 has 157 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)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:46:21 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 21 秒 (日本時間)

10232+2699

c197

name 名前Cyp
date 日付December 8, 2014 18:16:21 UTC 2014 年 12 月 9 日 (火) 3 時 16 分 21 秒 (日本時間)
composite number 合成数
10648822806004078354003204024751448803588192352266817356954083789941398467860288785486947338566401076786336594965546787136596590703923633656642774334322624351187879940554687994487804260201591523881<197>
prime factors 素因数
19231695961766706944122492042868113<35>
932296807375506425746282653122460108347<39>
composite cofactor 合成数の残り
593922555712880448428834142741297220775411767097048265140381407646016519171011225763286536953780299350711901434687338550971<123>
factorization results 素因数分解の結果
Run 39 out of 280:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=937094572
Step 1 took 18795ms
Step 2 took 6126ms
********** Factor found in step 2: 19231695961766706944122492042868113
Found probable prime factor of 35 digits: 19231695961766706944122492042868113
Composite cofactor 553712102519419786908771402278882549673241183090625314901605347169953524744265895888041748403339678822358573454648419355839893572712046929277009829083978642054937 has 162 digits
--
Run 198 out of 280:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1979005032
Step 1 took 13493ms
Step 2 took 4895ms
********** Factor found in step 2: 932296807375506425746282653122460108347
Found probable prime factor of 39 digits: 932296807375506425746282653122460108347
Composite cofactor 593922555712880448428834142741297220775411767097048265140381407646016519171011225763286536953780299350711901434687338550971 has 123 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

c123

name 名前Erik Branger
date 日付December 16, 2014 07:45:39 UTC 2014 年 12 月 16 日 (火) 16 時 45 分 39 秒 (日本時間)
composite number 合成数
593922555712880448428834142741297220775411767097048265140381407646016519171011225763286536953780299350711901434687338550971<123>
prime factors 素因数
1207247144737267653624355336907824035825422759344130204660033<61>
491964349058067473160209364045545514578740231714224638005185787<63>
factorization results 素因数分解の結果
Number: 11141_232
N = 593922555712880448428834142741297220775411767097048265140381407646016519171011225763286536953780299350711901434687338550971 (123 digits)
Divisors found:
r1=1207247144737267653624355336907824035825422759344130204660033 (pp61)
r2=491964349058067473160209364045545514578740231714224638005185787 (pp63)
Version: Msieve v. 1.51 (SVN 845)
Total time: 36.89 hours.
Factorization parameters were as follows:
n: 593922555712880448428834142741297220775411767097048265140381407646016519171011225763286536953780299350711901434687338550971
Y0: -529419877942030991362969
Y1: 5141478091231
c0: -430374094914295822267094846400
c1: 48401579009446692026912364
c2: -118278961714533217648
c3: -4154551352398991
c4: 1333062722
c5: 14280
skew: 219546.52 
type: gnfs
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10984395
Relations: 1503256 relations
Pruned matrix : 859801 x 860028
Polynomial selection time: 0.00 hours.
Total sieving time: 35.91 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.58 hours.
time per square root: 0.33 hours.
Prototype def-par.txt line would be: gnfs,122,5,65,2000,1e-05,0.28,250,20,50000,3600,4900000,4900000,27,27,53,53,2.5,2.5,100000
total time: 36.89 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)
403e62600280CypDecember 8, 2014 18:16:21 UTC 2014 年 12 月 9 日 (火) 3 時 16 分 21 秒 (日本時間)
2320Serge BatalovDecember 9, 2014 19:25:49 UTC 2014 年 12 月 10 日 (水) 4 時 25 分 49 秒 (日本時間)

10233+2699

c210

composite cofactor 合成数の残り
301432153562572103152454646408286668351513535299848861825106143501166739229936531199244914035368374933374797542876825593122561388414464338498639055754481911217168364011482640994387328150706261016888481214206981<210>

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)
403e62650300Serge BatalovDecember 10, 2014 19:46:22 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 22 秒 (日本時間)
2350Ignacio SantosJuly 24, 2023 14:38:43 UTC 2023 年 7 月 24 日 (月) 23 時 38 分 43 秒 (日本時間)

10235+2699

c213

composite cofactor 合成数の残り
627433033946373102086762018209904810984195026010407632483429659681355428014467225565142578023043679720450148168710641870914510925184397208013538952221195458255067132968438453279309504416153464420150155170849716913<213>

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)
403e62700300Serge BatalovDecember 10, 2014 19:46:22 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 22 秒 (日本時間)
2400ebinaOctober 17, 2021 23:29:34 UTC 2021 年 10 月 18 日 (月) 8 時 29 分 34 秒 (日本時間)

10236+2699

c169

composite cofactor 合成数の残り
1937203921877922978870489638950597060504513942824694090259125809670178174948339709445936303004548418684140828846864405905772847203523836205100384290578387039226258392469<169>

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)
403e61300300Serge BatalovDecember 10, 2014 19:46:23 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 23 秒 (日本時間)
1000Dmitry DomanovNovember 28, 2016 08:19:13 UTC 2016 年 11 月 28 日 (月) 17 時 19 分 13 秒 (日本時間)
4511e6400 / 4188Dmitry DomanovJanuary 11, 2017 00:13:21 UTC 2017 年 1 月 11 日 (水) 9 時 13 分 21 秒 (日本時間)

10237+2699

c225

composite cofactor 合成数の残り
277744364177409705351265206955163248765353454370141317651754198908002857282326906229371278780623554349699158663648178788897099763786899274596512057324753973107594921416911755530037913359945438733485421028939288699513117888617<225>

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 19:46:23 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 23 秒 (日本時間)
4511e6585 / 4409CypJanuary 29, 2015 06:39:16 UTC 2015 年 1 月 29 日 (木) 15 時 39 分 16 秒 (日本時間)

10239+2699

c191

composite cofactor 合成数の残り
48040144836273533021422651477850423817376492342657524508634260484763933343389200217170741349855129497841889226613485521462753115274990469153443850955769229718213212784227184917875934987190069<191>

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)
403e61300300Serge BatalovDecember 10, 2014 19:46:23 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 23 秒 (日本時間)
1000Dmitry DomanovNovember 28, 2016 08:19:42 UTC 2016 年 11 月 28 日 (月) 17 時 19 分 42 秒 (日本時間)
4511e6600 / 4188Dmitry DomanovJanuary 11, 2017 00:14:01 UTC 2017 年 1 月 11 日 (水) 9 時 14 分 1 秒 (日本時間)

10240+2699

c196

composite cofactor 合成数の残り
3324511711268984986315918405723535439270820063251110923300949691263664981088898425436949677403992855303240349538537125973980226758789978132815589803133337955923757292553395613214127151245990465829<196>

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 19:46:24 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 24 秒 (日本時間)
4511e6585 / 4409329CypDecember 29, 2014 04:32:26 UTC 2014 年 12 月 29 日 (月) 13 時 32 分 26 秒 (日本時間)
256CypJanuary 26, 2015 09:18:25 UTC 2015 年 1 月 26 日 (月) 18 時 18 分 25 秒 (日本時間)

10241+2699

c194

composite cofactor 合成数の残り
36918323060999876971437897432399167656932157189253463334444721729074139132394890551502906917415658308086619862646714059543598124508178659005771739156196014556366418879973292884078539335264404401<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)
403e6280CypDecember 9, 2014 10:38:39 UTC 2014 年 12 月 9 日 (火) 19 時 38 分 39 秒 (日本時間)
4511e6591 / 4413CypJune 19, 2015 06:05:19 UTC 2015 年 6 月 19 日 (金) 15 時 5 分 19 秒 (日本時間)

10242+2699

c203

name 名前Cyp
date 日付December 6, 2014 17:34:41 UTC 2014 年 12 月 7 日 (日) 2 時 34 分 41 秒 (日本時間)
composite number 合成数
75799419374206799680075057301129134748006046808473175295716144660045413716255800415230167413880211346607509845009505181614836782737449101856905977505087109057260712843175018761247277764763814644494677973<203>
prime factors 素因数
99032883923151802318133891753953<32>
composite cofactor 合成数の残り
765396466016541925664973929380544123292212371546139289086630939037478652473695476540826300340564921741088480024059706448111767611403179343464646275922725948704456319860341<171>
factorization results 素因数分解の結果
Run 86 out of 280:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=107004667
Step 1 took 18862ms
Step 2 took 6405ms
********** Factor found in step 2: 99032883923151802318133891753953
Found probable prime factor of 32 digits: 99032883923151802318133891753953
Composite cofactor 765396466016541925664973929380544123292212371546139289086630939037478652473695476540826300340564921741088480024059706448111767611403179343464646275922725948704456319860341 has 171 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)
403e6280CypDecember 6, 2014 17:34:41 UTC 2014 年 12 月 7 日 (日) 2 時 34 分 41 秒 (日本時間)
4511e6591 / 4413CypJune 21, 2015 19:04:45 UTC 2015 年 6 月 22 日 (月) 4 時 4 分 45 秒 (日本時間)

10243+2699

c233

name 名前Cyp
date 日付June 6, 2015 08:38:41 UTC 2015 年 6 月 6 日 (土) 17 時 38 分 41 秒 (日本時間)
composite number 合成数
17542327490237164578690444219252288320035685197616388909030594610810670921938236406439433161466661829875080265487364432642958001362628320443501157638777002060283860415507264749798799498428067284906939313685770171960461031114981361151<233>
prime factors 素因数
57960647561234719983061867230466690618421<41>
302659273633958432010927761015205877272535082476629323751182607180859202508421646721183750109842810538677089076627566834113433411903210040309330586200028095279319580263760791975123897303388131<192>
factorization results 素因数分解の結果
Run 52 out of 591:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=540012195
Step 1 took 92258ms
Step 2 took 25876ms
********** Factor found in step 2: 57960647561234719983061867230466690618421
Found probable prime factor of 41 digits: 57960647561234719983061867230466690618421
Probable prime cofactor 302659273633958432010927761015205877272535082476629323751182607180859202508421646721183750109842810538677089076627566834113433411903210040309330586200028095279319580263760791975123897303388131 has 192 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)
403e6280 / 2139CypDecember 7, 2014 08:58:30 UTC 2014 年 12 月 7 日 (日) 17 時 58 分 30 秒 (日本時間)
4511e652 / 4413CypJune 6, 2015 08:38:41 UTC 2015 年 6 月 6 日 (土) 17 時 38 分 41 秒 (日本時間)

10244+2699

c220

composite cofactor 合成数の残り
2988954421136943760948881264389984003107850120953300575607310914974477693549285127198889916364502549849110807397642234041957964402656868997254316685527252473985224181103339946351984240120504239227043600303373363832239179<220>

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 17:40:34 UTC 2014 年 12 月 9 日 (火) 2 時 40 分 34 秒 (日本時間)
4511e6591 / 4413CypFebruary 1, 2015 10:57:51 UTC 2015 年 2 月 1 日 (日) 19 時 57 分 51 秒 (日本時間)

10247+2699

c172

composite cofactor 合成数の残り
6512047554735546776560262838594169667156900359668582054389313642456761625030132678070522684355039467385798885941198925499674008572622543923924953580581069538117185706601121<172>

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)
403e61300300Serge BatalovDecember 10, 2014 19:46:24 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 24 秒 (日本時間)
1000Dmitry DomanovNovember 28, 2016 09:04:34 UTC 2016 年 11 月 28 日 (月) 18 時 4 分 34 秒 (日本時間)
4511e6600 / 4188Dmitry DomanovJanuary 11, 2017 00:14:31 UTC 2017 年 1 月 11 日 (水) 9 時 14 分 31 秒 (日本時間)

10248+2699

c232

composite cofactor 合成数の残り
1915343972616227957072705092990010739256479466769253373043435134346078176460297284696483633026467697636456738305020458423598455858117614050652281454988447176376912938681268579482188945707523780000682858209455909739351727097318977723<232>

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)
403e62630280CypDecember 8, 2014 16:52:04 UTC 2014 年 12 月 9 日 (火) 1 時 52 分 4 秒 (日本時間)
2350Ignacio SantosJuly 24, 2023 14:41:37 UTC 2023 年 7 月 24 日 (月) 23 時 41 分 37 秒 (日本時間)

10250+2699

c200

composite cofactor 合成数の残り
15567310245518051988001941379825651448033740774710698709153390834588416207245413165442004112442564105793384154977096755783474512622580013118725420406444231139162417901321937811182903010395438024059607<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)
403e61280280CypDecember 7, 2014 04:42:29 UTC 2014 年 12 月 7 日 (日) 13 時 42 分 29 秒 (日本時間)
1000Dmitry DomanovDecember 17, 2014 13:27:44 UTC 2014 年 12 月 17 日 (水) 22 時 27 分 44 秒 (日本時間)
4511e6600 / 2087Dmitry DomanovApril 23, 2015 12:46:41 UTC 2015 年 4 月 23 日 (木) 21 時 46 分 41 秒 (日本時間)
5043e6600 / 7370Dmitry DomanovJune 28, 2015 22:20:39 UTC 2015 年 6 月 29 日 (月) 7 時 20 分 39 秒 (日本時間)

10252+2699

c247

name 名前Dmitry Domanov
date 日付October 29, 2015 08:06:50 UTC 2015 年 10 月 29 日 (木) 17 時 6 分 50 秒 (日本時間)
composite number 合成数
1582035668576183718638120415062878007647560421897272095896674086413952288968307079451413311564522533725045364872796422068131948102901928026869293795097904277349837129427920081886166205503269276709112683654565675837727437402803683611850712786170477<247>
prime factors 素因数
11381962577904046764875128195252375027<38>
composite cofactor 合成数の残り
138994980676479319268075320520104147061465694007908403743085012832809125432961846923665033503568491046447874094777916646834706203877416196199474224816665976121007202721881655451357299101404945943868556674168351<210>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2526363388
Step 1 took 37204ms
Step 2 took 11951ms
********** Factor found in step 2: 11381962577904046764875128195252375027
Found probable prime factor of 38 digits: 11381962577904046764875128195252375027

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 DomanovOctober 29, 2015 07:29:09 UTC 2015 年 10 月 29 日 (木) 16 時 29 分 9 秒 (日本時間)
2350Ignacio SantosJuly 24, 2023 14:53:25 UTC 2023 年 7 月 24 日 (月) 23 時 53 分 25 秒 (日本時間)

10254+2699

c251

composite cofactor 合成数の残り
31836994587710920089143584845590576249602037567653613498885705189430117796879974530404329831263928685132123527539000318369945877109200891435848455905762496020375676536134988857051894301177968799745304043298312639286851321235275390003183699458771092009<251>

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 07:30:22 UTC 2015 年 10 月 29 日 (木) 16 時 30 分 22 秒 (日本時間)
4511e6800 / 4346Dmitry DomanovFebruary 4, 2016 17:57:37 UTC 2016 年 2 月 5 日 (金) 2 時 57 分 37 秒 (日本時間)

10256+2699

c237

composite cofactor 合成数の残り
961285656866970756717901061086755368559360436523817102993674654393023438768377891828623085259769699978030707148339313067746803875082337914255610420910335635635815670247032814346047013523227064402639095684390820055698980044370671843509033<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--
403e62950600Dmitry DomanovApril 11, 2016 10:21:40 UTC 2016 年 4 月 11 日 (月) 19 時 21 分 40 秒 (日本時間)
2350Ignacio SantosJuly 24, 2023 15:20:29 UTC 2023 年 7 月 25 日 (火) 0 時 20 分 29 秒 (日本時間)

10260+2699

c244

composite cofactor 合成数の残り
1315854122515151112078891889635329304608037157921623236578192350085501855062300571647277708943290717457628493021803291643175571498947071860553931560995033169585890473130965919846542338765628602994987118615518938122981679686045325467046160621351<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--
403e62950600Dmitry DomanovApril 11, 2016 10:21:51 UTC 2016 年 4 月 11 日 (月) 19 時 21 分 51 秒 (日本時間)
2350Ignacio SantosJuly 24, 2023 15:32:25 UTC 2023 年 7 月 25 日 (火) 0 時 32 分 25 秒 (日本時間)

10261+2699

c251

name 名前Dmitry Domanov
date 日付April 11, 2016 10:53:05 UTC 2016 年 4 月 11 日 (月) 19 時 53 分 5 秒 (日本時間)
composite number 合成数
37985861990592864106645409644586496693025706240037714114172781122004255596915621896462603535779652983510417118179679926912715735290665061787092968208438622274949591951089976319937654467188273048081312909046284384566239234716542926082142365517757183043<251>
prime factors 素因数
110070701888725423999857891615941<33>
345104204286751874395424034689500933889214564628813857331416021598464892467996789532314969231075765350207870374428943838937017116279023718679048977674959441183393036325372751157079410951741418975177058875446780526040423<219>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2428691057
Step 1 took 29600ms
Step 2 took 9061ms
********** Factor found in step 2: 110070701888725423999857891615941
Found probable prime factor of 33 digits: 110070701888725423999857891615941

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 DomanovApril 11, 2016 10:22:04 UTC 2016 年 4 月 11 日 (月) 19 時 22 分 4 秒 (日本時間)

10262+2699

c228

composite cofactor 合成数の残り
168191043158550473510117957377419300729016546470483997460325930646094559587192451873164205842428702718460099765191165152903566620105749175537710196837991901833139490788849234795926008407372171111999083131623822294226905389178361<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--
403e62950600Dmitry DomanovApril 11, 2016 10:22:16 UTC 2016 年 4 月 11 日 (月) 19 時 22 分 16 秒 (日本時間)
2350Ignacio SantosJuly 24, 2023 15:45:32 UTC 2023 年 7 月 25 日 (火) 0 時 45 分 32 秒 (日本時間)

10263+2699

c223

name 名前Dmitry Domanov
date 日付April 11, 2016 11:27:37 UTC 2016 年 4 月 11 日 (月) 20 時 27 分 37 秒 (日本時間)
composite number 合成数
1135113104076767887287143573701223999985517460697653778616812314351921053951274430813761589490609963671211312966135781910013074296060175387235464875856534113512640330831943881824710196481471026467826772619330035237248431467<223>
prime factors 素因数
90239950626462505221823877213119693032337<41>
composite cofactor 合成数の残り
12578831173960111871579228697870200357407807268553066149712194188616269292070399657518392908350097932823724101567364662973340123223055275029613687618780284571802731633794545312242491<182>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3777874302
Step 1 took 24325ms
Step 2 took 7501ms
********** Factor found in step 2: 90239950626462505221823877213119693032337
Found probable prime factor of 41 digits: 90239950626462505221823877213119693032337

c182

name 名前Dmitry Domanov
date 日付April 11, 2016 13:19:57 UTC 2016 年 4 月 11 日 (月) 22 時 19 分 57 秒 (日本時間)
composite number 合成数
12578831173960111871579228697870200357407807268553066149712194188616269292070399657518392908350097932823724101567364662973340123223055275029613687618780284571802731633794545312242491<182>
prime factors 素因数
132360951380479092258126533223523<33>
95034306136116726295874319387329168693201815843935230925457770792065080119699553488795461598849761079958307479417663423557828735913132770495959206217<149>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2474443196
Step 1 took 14896ms
Step 2 took 5740ms
********** Factor found in step 2: 132360951380479092258126533223523
Found probable prime factor of 33 digits: 132360951380479092258126533223523

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 DomanovApril 11, 2016 10:22:28 UTC 2016 年 4 月 11 日 (月) 19 時 22 分 28 秒 (日本時間)

10264+2699

c246

name 名前Dmitry Domanov
date 日付April 12, 2016 19:23:05 UTC 2016 年 4 月 13 日 (水) 4 時 23 分 5 秒 (日本時間)
composite number 合成数
659448906708786004896650871154962006049557341407705247242025054435803158905076315407912207481559749353238822474987989059120939460434470123456512482129650037798905531044812994595162224343195624224997886282506668691024855844670439502977918681734867<246>
prime factors 素因数
149441632768257723222027641593535161<36>
4412752286582730708292892190532582950485871337789393667785858410932244241972190560322181659188210133517902168964990392225640799137063619260442159010331752051621376285997095348808660278342739311130727842775994347<211>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3181633803
Step 1 took 50173ms
********** Factor found in step 1: 149441632768257723222027641593535161
Found probable prime factor of 36 digits: 149441632768257723222027641593535161

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 DomanovApril 12, 2016 14:37:10 UTC 2016 年 4 月 12 日 (火) 23 時 37 分 10 秒 (日本時間)

10265+2699

c233

composite cofactor 合成数の残り
28536961366492321940047981897322025661663122771201495685304206331342286074997502569799157452579403446153951413794321698742082388180784170558660883889502858567596510171173624927024328956384965971047819624342677229496832736562946301501<233>

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 DomanovApril 12, 2016 18:27:17 UTC 2016 年 4 月 13 日 (水) 3 時 27 分 17 秒 (日本時間)
2350Ignacio SantosJuly 24, 2023 15:54:32 UTC 2023 年 7 月 25 日 (火) 0 時 54 分 32 秒 (日本時間)

10266+2699

c195

name 名前Dmitry Domanov
date 日付April 12, 2016 20:53:16 UTC 2016 年 4 月 13 日 (水) 5 時 53 分 16 秒 (日本時間)
composite number 合成数
176345867863679332077893338633918879467227042181102985770735347110304364300769887690547482752144475044149581701568442898418249254795240850606539489281921251369131084080559360267324165963651352377<195>
prime factors 素因数
2004658435366030989902237310950207<34>
composite cofactor 合成数の残り
87968037223997366081487454414731692768280017540942433252589719271368389535367989591145182730365829160672858541383038610535643242731404366694831531307123708434311<161>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2263584423
Step 1 took 30355ms
Step 2 took 11398ms
********** Factor found in step 2: 2004658435366030989902237310950207
Found probable prime factor of 34 digits: 2004658435366030989902237310950207

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 DomanovApril 12, 2016 18:27:28 UTC 2016 年 4 月 13 日 (水) 3 時 27 分 28 秒 (日本時間)
4511e62000Dmitry DomanovApril 13, 2016 20:00:02 UTC 2016 年 4 月 14 日 (木) 5 時 0 分 2 秒 (日本時間)
5043e6672 / 7082Dmitry DomanovApril 14, 2016 14:36:54 UTC 2016 年 4 月 14 日 (木) 23 時 36 分 54 秒 (日本時間)

10267+2699

c262

name 名前Dmitry Domanov
date 日付October 29, 2015 07:07:19 UTC 2015 年 10 月 29 日 (木) 16 時 7 分 19 秒 (日本時間)
composite number 合成数
5904198475535953616616776189548387858606254907864982789261443812695207562097407466449392162766943573575169302891285993469956486057235300021845534359483028381482071901329035076843143159100436320267342106972267979760407625862751002237691222228126420697758175838839<262>
prime factors 素因数
88074901784888704023892963656932129047<38>
67036106267324343011735020907588756270563370040595083555125572118051788906776711027445829563559187685626990159932859579220285730432973626514745353155839860775694749525144038564330798924804515257672992004300841098323268050337<224>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2464156040
Step 1 took 49975ms
Step 2 took 16194ms
********** Factor found in step 2: 88074901784888704023892963656932129047

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 23:11:32 UTC 2015 年 10 月 29 日 (木) 8 時 11 分 32 秒 (日本時間)

10270+2699

c231

name 名前Ignacio Santos
date 日付July 25, 2023 06:47:20 UTC 2023 年 7 月 25 日 (火) 15 時 47 分 20 秒 (日本時間)
composite number 合成数
371184720088936052461747120979237938791726835551120733940270056105049773891024577682200782138993079524079810289031624086674465279469859942629018146366247483606467515635093709144323041288486428866598094525488042117294754129046890747<231>
prime factors 素因数
251017350944904450176787346747395372703<39>
composite cofactor 合成数の残り
1478721366039780330400510494117113773605955665018810454071489619260023563127572667371788259357341791236661321883693232512791801546372191154117937228764750473188981365330201371575415889191386149<193>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2502270223
Step 1 took 9438ms
Step 2 took 4343ms
********** Factor found in step 2: 251017350944904450176787346747395372703
Found prime factor of 39 digits: 251017350944904450176787346747395372703
Composite cofactor 1478721366039780330400510494117113773605955665018810454071489619260023563127572667371788259357341791236661321883693232512791801546372191154117937228764750473188981365330201371575415889191386149 has 193 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--
403e62950600Dmitry DomanovApril 12, 2016 18:27:42 UTC 2016 年 4 月 13 日 (水) 3 時 27 分 42 秒 (日本時間)
2350Ignacio SantosJuly 26, 2023 07:00:12 UTC 2023 年 7 月 26 日 (水) 16 時 0 分 12 秒 (日本時間)

10271+2699

c191

name 名前Dmitry Domanov
date 日付January 11, 2017 06:42:04 UTC 2017 年 1 月 11 日 (水) 15 時 42 分 4 秒 (日本時間)
composite number 合成数
18743606269208410644582113624928434174885970338706542650914064464443023791565409917474222607758555364578007470635361908647694706735510956594647809865020227422149711026685942305547126200665647<191>
prime factors 素因数
38727116357799148734002361366401971873<38>
483991787460666089798878602380913906592562251994998725878655514776932026270164610659240319856557827633026495333451391981016532478452652143173682616556239<153>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2829370336
Step 1 took 72479ms
Step 2 took 21765ms
********** Factor found in step 2: 38727116357799148734002361366401971873
Found probable prime factor of 38 digits: 38727116357799148734002361366401971873
Probable prime cofactor 483991787460666089798878602380913906592562251994998725878655514776932026270164610659240319856557827633026495333451391981016532478452652143173682616556239 has 153 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--
403e6600Dmitry DomanovApril 12, 2016 18:27:56 UTC 2016 年 4 月 13 日 (水) 3 時 27 分 56 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovJanuary 11, 2017 00:15:16 UTC 2017 年 1 月 11 日 (水) 9 時 15 分 16 秒 (日本時間)

10272+2699

c246

composite cofactor 合成数の残り
157224499937202030186964476756379205155642949763936572333382873547494198240894236806414174048960682310383519374524114349137718695826732960416947174285372257803194182736010575244066883620322543754333570070806016454017090147907541778749171641501133<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--
403e62950600Dmitry DomanovApril 12, 2016 23:47:11 UTC 2016 年 4 月 13 日 (水) 8 時 47 分 11 秒 (日本時間)
2350Ignacio SantosJuly 25, 2023 06:59:34 UTC 2023 年 7 月 25 日 (火) 15 時 59 分 34 秒 (日本時間)

10273+2699

c224

composite cofactor 合成数の残り
21694608213429224266521917804327287809603234408260691286413893541872065557125797305692491115236203482145810709706552258262259476492989313930852602331354743337222680978750478357635797204719818271733675176991627501335526312979<224>

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 DomanovApril 12, 2016 23:47:30 UTC 2016 年 4 月 13 日 (水) 8 時 47 分 30 秒 (日本時間)
2350Ignacio SantosJuly 25, 2023 07:19:04 UTC 2023 年 7 月 25 日 (火) 16 時 19 分 4 秒 (日本時間)

10274+2699

c263

composite cofactor 合成数の残り
12506803662687180049448744539789323139911733365947826517213493250457206375423106041352608093988787731157769599360068723355693915458666872560302170485713920990126894782408452887030520277085520219922592513240521143362734857634533243141949998475892327618570998967763<263>

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 DomanovApril 12, 2016 23:47:42 UTC 2016 年 4 月 13 日 (水) 8 時 47 分 42 秒 (日本時間)
2350Ignacio SantosJuly 25, 2023 07:19:29 UTC 2023 年 7 月 25 日 (火) 16 時 19 分 29 秒 (日本時間)

10275+2699

c179

name 名前Erik Branger
date 日付November 30, 2015 11:58:48 UTC 2015 年 11 月 30 日 (月) 20 時 58 分 48 秒 (日本時間)
composite number 合成数
10585647911586596224078552116330587729111460804969617905452622855953684597658736510827411760718316922059485105448663151146825710169178549374315037673286156311391108731673611669143<179>
prime factors 素因数
144528696692071830962688256226002982245885040177<48>
73242533516648499678330748964045817073850354243274347851865803770766506217869564698642616928625327094309114587495053616377981753159<131>
factorization results 素因数分解の結果
Sun 2015/11/29 05:43:20 UTC GMP-ECM 6.4.4 [configured with MPIR 2.7.0, --enable-asm-redc] [ECM]
Sun 2015/11/29 05:43:20 UTC Input number is 10585647911586596224078552116330587729111460804969617905452622855953684597658736510827411760718316922059485105448663151146825710169178549374315037673286156311391108731673611669143 (179 digits)
Sun 2015/11/29 05:43:20 UTC Run 619 out of 1500:
Sun 2015/11/29 05:43:20 UTC Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=4269429642
Sun 2015/11/29 05:43:20 UTC Step 1 took 167109ms
Sun 2015/11/29 05:43:20 UTC Step 2 took 47752ms
Sun 2015/11/29 05:43:20 UTC ********** Factor found in step 2: 144528696692071830962688256226002982245885040177
Sun 2015/11/29 05:43:20 UTC Found probable prime factor of 48 digits: 144528696692071830962688256226002982245885040177
Sun 2015/11/29 05:43:20 UTC Probable prime cofactor 73242533516648499678330748964045817073850354243274347851865803770766506217869564698642616928625327094309114587495053616377981753159 has 131 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--
403e63244294KTakahashiOctober 28, 2015 09:05:01 UTC 2015 年 10 月 28 日 (水) 18 時 5 分 1 秒 (日本時間)
600Dmitry DomanovOctober 29, 2015 07:12:58 UTC 2015 年 10 月 29 日 (木) 16 時 12 分 58 秒 (日本時間)
2350Ignacio SantosNovember 5, 2015 21:28:42 UTC 2015 年 11 月 6 日 (金) 6 時 28 分 42 秒 (日本時間)

10276+2699

c242

name 名前Dmitry Domanov
date 日付April 13, 2016 05:39:19 UTC 2016 年 4 月 13 日 (水) 14 時 39 分 19 秒 (日本時間)
composite number 合成数
65099969492461174494606824944394524065057899737232829946651756080813023745259647011295156174677785107803586310202739219693544504224216274690949085913587055144759524313467199893559505971522109596703843536067886041643989411976207505120416085321<242>
prime factors 素因数
1581461940528401815014345768916823<34>
composite cofactor 合成数の残り
41164423767738487757545486208151210066783802073398323735893483976634625220945374693209028322764661843650618626952675307487585404225447441859736309507328650618290974425678573836529844422477927223145974553285727<209>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1798616359
Step 1 took 31137ms
Step 2 took 10288ms
********** Factor found in step 2: 1581461940528401815014345768916823
Found probable prime factor of 34 digits: 1581461940528401815014345768916823

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 DomanovApril 12, 2016 23:47:55 UTC 2016 年 4 月 13 日 (水) 8 時 47 分 55 秒 (日本時間)
2350Ignacio SantosJuly 25, 2023 07:43:49 UTC 2023 年 7 月 25 日 (火) 16 時 43 分 49 秒 (日本時間)

10277+2699

c242

composite cofactor 合成数の残り
12179130980400265809499657468256610161406596518672203980860313374904022073648718122007490220332307448814422533120254600902333651666588245399355709905701710768061338108973453433380058170151824273649915409388335136715560351690813789746594648259<242>

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 DomanovApril 12, 2016 23:48:07 UTC 2016 年 4 月 13 日 (水) 8 時 48 分 7 秒 (日本時間)
2350Ignacio SantosJuly 25, 2023 07:55:28 UTC 2023 年 7 月 25 日 (火) 16 時 55 分 28 秒 (日本時間)

10279+2699

c257

composite cofactor 合成数の残り
34272197010833740880268188698345318651306505003068575455369593402700973597754182941224938434605382315436755741433719779739107691844344481411710642058850671521313357360672709926503360745413720819599847229926053739077875323513801525750140831259182780017183151<257>

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 DomanovApril 12, 2016 11:14:23 UTC 2016 年 4 月 12 日 (火) 20 時 14 分 23 秒 (日本時間)
2350Ignacio SantosJuly 25, 2023 08:02:00 UTC 2023 年 7 月 25 日 (火) 17 時 2 分 0 秒 (日本時間)

10280+2699

c246

name 名前Dmitry Domanov
date 日付April 12, 2016 13:10:47 UTC 2016 年 4 月 12 日 (火) 22 時 10 分 47 秒 (日本時間)
composite number 合成数
130968439184961959589349607378931492671249961361411812447267924129449866449890268731556271492842091599307071429154054025370567898544682115776864381947277709508765382862685405530359407880136999049774879421318503654495289684617577051709555548658321<246>
prime factors 素因数
53792969093476797639312458407<29>
composite cofactor 合成数の残り
2434675783695379670148381871546478433945688254447937088055661006771433371981455273966501943832661859257403564467763160980145075091783109320971940245211135739357057320720245977556828654895654766754027421233542407223303<217>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2101025606
Step 1 took 49698ms
Step 2 took 15602ms
********** Factor found in step 2: 53792969093476797639312458407
Found probable prime factor of 29 digits: 53792969093476797639312458407

c217

name 名前Dmitry Domanov
date 日付April 12, 2016 19:22:17 UTC 2016 年 4 月 13 日 (水) 4 時 22 分 17 秒 (日本時間)
composite number 合成数
2434675783695379670148381871546478433945688254447937088055661006771433371981455273966501943832661859257403564467763160980145075091783109320971940245211135739357057320720245977556828654895654766754027421233542407223303<217>
prime factors 素因数
7039698040071428975956183814096481863<37>
composite cofactor 合成数の残り
345849462553180192541782895732783166681454392865089394798779736223504892239587203289547506229652575049047255705971432525413320991899071827011452470464960556632531103850410014754881<180>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2047515737
Step 1 took 45395ms
Step 2 took 14241ms
********** Factor found in step 2: 7039698040071428975956183814096481863
Found probable prime factor of 37 digits: 7039698040071428975956183814096481863

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 DomanovApril 12, 2016 11:14:11 UTC 2016 年 4 月 12 日 (火) 20 時 14 分 11 秒 (日本時間)
4511e62000Dmitry DomanovApril 13, 2016 15:04:55 UTC 2016 年 4 月 14 日 (木) 0 時 4 分 55 秒 (日本時間)
5043e6672 / 7082Dmitry DomanovApril 14, 2016 14:38:15 UTC 2016 年 4 月 14 日 (木) 23 時 38 分 15 秒 (日本時間)

10281+2699

c221

composite cofactor 合成数の残り
12437212292210457687287582799654403367663015485063443637404190170197573250705214194181562199536768093948337235911427514072600274318507267515241477029140319084377303159675434882530387288398098804769894217683312134161779699<221>

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 DomanovApril 12, 2016 11:14:01 UTC 2016 年 4 月 12 日 (火) 20 時 14 分 1 秒 (日本時間)
2350Ignacio SantosJuly 25, 2023 14:10:46 UTC 2023 年 7 月 25 日 (火) 23 時 10 分 46 秒 (日本時間)

10282+2699

c245

composite cofactor 合成数の残り
75519129014705430142486338546008360058198242211326911207350620894878510909673010525688819245794070633787651809180003413245643671664947754885513313295384582799632831206352325689941099147240937512076766237120380491735286926393950868366863932512637<245>

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 DomanovApril 12, 2016 11:13:42 UTC 2016 年 4 月 12 日 (火) 20 時 13 分 42 秒 (日本時間)
2350Ignacio SantosJuly 25, 2023 14:11:06 UTC 2023 年 7 月 25 日 (火) 23 時 11 分 6 秒 (日本時間)

10283+2699

c250

composite cofactor 合成数の残り
1630456421066287228062024587457608505308510281691064671383969065004588872319738284581586999169545151255242135546632493575771662060472674680141755125350099961396508694272314480837220550206343198669455438062127013109320474346609430694765241212433139797<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--
403e62950600Dmitry DomanovApril 12, 2016 11:13:30 UTC 2016 年 4 月 12 日 (火) 20 時 13 分 30 秒 (日本時間)
2350Ignacio SantosJuly 25, 2023 14:11:32 UTC 2023 年 7 月 25 日 (火) 23 時 11 分 32 秒 (日本時間)

10284+2699

c279

name 名前Dmitry Domanov
date 日付January 22, 2016 09:00:08 UTC 2016 年 1 月 22 日 (金) 18 時 0 分 8 秒 (日本時間)
composite number 合成数
350386651670117975185617328722244997354580779890609287348589168147050269972915111825899880518151780489770461704490905714455902087954057302233014131093661855857939235946867368140743310242852988272558768601151370537388007666459938542181297061307152442720542118227464006531207187131<279>
prime factors 素因数
5958830123348513680694711171051126279087<40>
composite cofactor 合成数の残り
58801248637244451211485962287584587751893164207219296732638055826303150497793019481099419264857342651376372476859523418449401797383202479250453955988689086314864904869677297227377486854841142875724024406541796971250976428310719687924857013<239>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3028295004
Step 1 took 107887ms
Step 2 took 30083ms
********** Factor found in step 2: 5958830123348513680694711171051126279087
Found probable prime factor of 40 digits: 5958830123348513680694711171051126279087

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 23:05:59 UTC 2015 年 10 月 29 日 (木) 8 時 5 分 59 秒 (日本時間)
4511e6800 / 4346Dmitry DomanovJanuary 21, 2016 17:57:54 UTC 2016 年 1 月 22 日 (金) 2 時 57 分 54 秒 (日本時間)

10285+2699

c260

composite cofactor 合成数の残り
88966726061853199108863630632356588785116210922603017669892442313243987572579936313181576630120973180799247059035575275467358254828260221765059614757333994554048307596567793782947647329216347878422847258239512337467280457289360011259477864147269929742635272361<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--
403e62950600Dmitry DomanovApril 12, 2016 11:13:12 UTC 2016 年 4 月 12 日 (火) 20 時 13 分 12 秒 (日本時間)
2350Ignacio SantosJuly 25, 2023 14:29:49 UTC 2023 年 7 月 25 日 (火) 23 時 29 分 49 秒 (日本時間)

10286+2699

c247

composite cofactor 合成数の残り
1177554725896129231238098712322026093766619114069231170346928951058019342877731892610685679524507635268543817597936201577697719554390607157648980513025845948697889972584144741488680965718905063000770372444619240478947151465522853951527455898833193<247>

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 DomanovApril 12, 2016 11:12:59 UTC 2016 年 4 月 12 日 (火) 20 時 12 分 59 秒 (日本時間)
2350Ignacio SantosJuly 25, 2023 14:42:06 UTC 2023 年 7 月 25 日 (火) 23 時 42 分 6 秒 (日本時間)

10287+2699

c224

composite cofactor 合成数の残り
71518476050466078408534422712260169442849100232607750468422764009814289320936837561533753943962325765963687323133076189548991330634171367538955482320313366396210718074678408626704093122611686414192774516863020855945837552133<224>

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 DomanovApril 12, 2016 11:12:48 UTC 2016 年 4 月 12 日 (火) 20 時 12 分 48 秒 (日本時間)
2350Ignacio SantosJuly 25, 2023 14:59:21 UTC 2023 年 7 月 25 日 (火) 23 時 59 分 21 秒 (日本時間)

10289+2699

c276

name 名前Dmitry Domanov
date 日付April 12, 2016 10:48:40 UTC 2016 年 4 月 12 日 (火) 19 時 48 分 40 秒 (日本時間)
composite number 合成数
661150451689844850673046506732638375835231361793372760700282578685085402477503179207166302213522129099982964809897999453863539924867531631249157278192733872781138147849915394586221073686382953943964533457961087299387736220253121757469049166747504197366734421839245341495707641<276>
prime factors 素因数
192730611347883381132575523944280521137<39>
3430438201103676314847305272768228197416166891455652230744623322608364368788608916455326564964768904118220753504839780942583324329201562708477149063311805586904132270767855732279349656792836662893940255892729135025152970478338254104558793<238>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3915360558
Step 1 took 52445ms
Step 2 took 13340ms
********** Factor found in step 2: 192730611347883381132575523944280521137
Found probable prime factor of 39 digits: 192730611347883381132575523944280521137

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 DomanovApril 11, 2016 23:23:37 UTC 2016 年 4 月 12 日 (火) 8 時 23 分 37 秒 (日本時間)

10290+2699

c268

composite cofactor 合成数の残り
4317912878129804192872431449899120789230916602269013679900686566338419955153986782145453481766902152150134444149479394081218694956841346197295848033284417880075071877681293110146889529806249872671772926970156519872531963824034041287861469227394080082120292547692825539<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 DomanovApril 11, 2016 23:23:16 UTC 2016 年 4 月 12 日 (火) 8 時 23 分 16 秒 (日本時間)
2350Ignacio SantosJuly 25, 2023 15:17:09 UTC 2023 年 7 月 26 日 (水) 0 時 17 分 9 秒 (日本時間)

10291+2699

c285

name 名前Dmitry Domanov
date 日付January 2, 2016 09:51:27 UTC 2016 年 1 月 2 日 (土) 18 時 51 分 27 秒 (日本時間)
composite number 合成数
727314514797577460814112228993520354987668382401607074151896727157414862381184082576380752057754590991046031008327023879917464348860770909746814544253815310115999391965065629225242759402176561416983230309232312256486009014336096401175049330106966145691279717161931485518077038608036389<285>
prime factors 素因数
5003350174269414262743995924393641825177<40>
composite cofactor 合成数の残り
145365503005949293564946924835095674852522746551970131369393521450167887299248247087649597513121489996183721241786826906008536976923497073065872815677857230539644531374722615441943350188233239054048038469753637194482356148567056457449442821646957<246>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2207856392
Step 1 took 120902ms
********** Factor found in step 1: 5003350174269414262743995924393641825177
Found probable prime factor of 40 digits: 5003350174269414262743995924393641825177

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 18:47:27 UTC 2015 年 10 月 29 日 (木) 3 時 47 分 27 秒 (日本時間)
4511e6800 / 4346Dmitry DomanovDecember 31, 2015 00:28:34 UTC 2015 年 12 月 31 日 (木) 9 時 28 分 34 秒 (日本時間)

10293+2699

c270

composite cofactor 合成数の残り
980000581188230887583773810831108898438805066138460779802891382931590232728140543299990822434589250164636635704390885257387338169344067584371172488022909442355138442053813578550280076036689781370531483487815861334897043388346492243008434192102288290429066845600555842503<270>

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 DomanovApril 11, 2016 23:22:54 UTC 2016 年 4 月 12 日 (火) 8 時 22 分 54 秒 (日本時間)
2350Ignacio SantosJuly 24, 2023 16:28:50 UTC 2023 年 7 月 25 日 (火) 1 時 28 分 50 秒 (日本時間)

10295+2699

c238

name 名前Dmitry Domanov
date 日付April 12, 2016 06:59:14 UTC 2016 年 4 月 12 日 (火) 15 時 59 分 14 秒 (日本時間)
composite number 合成数
1767366145967986727023666035297059999918852524722195069402396498351429176216716410744875074927304923942968944407040142396584748988719669717310067921985199024211643130566346298050406540897266899211467810540759007963717166404832642631643607<238>
prime factors 素因数
15787776391934041682039015184883<32>
composite cofactor 合成数の残り
111945222816237264935820273227505625306767009220365764872317446557578099231818153575590147044234589407743873778259398595669971101552463444095542717877625456274229786522426012262801405052733190583097357254029<207>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2907664971
Step 1 took 45920ms
Step 2 took 14255ms
********** Factor found in step 2: 15787776391934041682039015184883
Found probable prime factor of 32 digits: 15787776391934041682039015184883

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 DomanovApril 11, 2016 23:22:41 UTC 2016 年 4 月 12 日 (火) 8 時 22 分 41 秒 (日本時間)
2350Ignacio SantosJuly 24, 2023 16:29:24 UTC 2023 年 7 月 25 日 (火) 1 時 29 分 24 秒 (日本時間)

10297+2699

c252

name 名前Dmitry Domanov
date 日付April 12, 2016 06:58:13 UTC 2016 年 4 月 12 日 (火) 15 時 58 分 13 秒 (日本時間)
composite number 合成数
569566465252152827329940607453414916737034506072947687054913937640851391847016952475822908475260241902763489660773375371630311925142720140099216652908135395766280147068158892891545314666816400221135813910384377183134488338477126332619650092118935012871<252>
prime factors 素因数
12403320355836034763352400981829<32>
composite cofactor 合成数の残り
45920483298986895105640784448080111267239595322775021336647481551000930968864588380830864231763916526440538326124583491506882401461075845585069145271921265670594067263523877481126090757548109000591773584120084665060974299<221>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3202910758
Step 1 took 57315ms
Step 2 took 16857ms
********** Factor found in step 2: 12403320355836034763352400981829
Found probable prime factor of 32 digits: 12403320355836034763352400981829

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--
403e62400600Dmitry DomanovApril 11, 2016 23:22:27 UTC 2016 年 4 月 12 日 (火) 8 時 22 分 27 秒 (日本時間)
1800ebinaOctober 20, 2021 12:28:13 UTC 2021 年 10 月 20 日 (水) 21 時 28 分 13 秒 (日本時間)

10298+2699

c275

composite cofactor 合成数の残り
18000150539676196707252881983900895258486686882773561774482911219119941152339846070956692218530303096103952682258176470477294893493604902884885093962645583368572755645831123367698204560108688726289251253620625469038714329483799732788883150175429548262260351209375723939600333<275>

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 DomanovApril 11, 2016 23:22:16 UTC 2016 年 4 月 12 日 (火) 8 時 22 分 16 秒 (日本時間)
2350Ignacio SantosJuly 25, 2023 08:39:10 UTC 2023 年 7 月 25 日 (火) 17 時 39 分 10 秒 (日本時間)

10299+2699

c259

name 名前Dmitry Domanov
date 日付April 12, 2016 06:58:41 UTC 2016 年 4 月 12 日 (火) 15 時 58 分 41 秒 (日本時間)
composite number 合成数
1485076517557797371468215575304532254527820741258537704728762928054667881919413670002046091090028054563249468679189286993806937894742270132666364644494977510619232865255994519820291630600660686680552789547999165704338876393854407720570035730625165562176363733<259>
prime factors 素因数
83751347884501881026268847421863<32>
composite cofactor 合成数の残り
17731971545172105535917091638495191000064192992768061024396819772789050812816774827847770957283906384872306668255083973445201280436113120695685807308717742177774749612479692167183630706854724786000439251751157664220007535283491<227>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1928052327
Step 1 took 55872ms
Step 2 took 16302ms
********** Factor found in step 2: 83751347884501881026268847421863
Found probable prime factor of 32 digits: 83751347884501881026268847421863

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 DomanovApril 11, 2016 23:22:05 UTC 2016 年 4 月 12 日 (火) 8 時 22 分 5 秒 (日本時間)
2350Ignacio SantosJuly 25, 2023 08:39:21 UTC 2023 年 7 月 25 日 (火) 17 時 39 分 21 秒 (日本時間)

10300+2699

c277

name 名前KTakahashi
date 日付October 28, 2015 09:19:27 UTC 2015 年 10 月 28 日 (水) 18 時 19 分 27 秒 (日本時間)
composite number 合成数
1285652988533350853144211759961460144298763995737813565190953254632156940461531482281297580086525847788119280466270258336192063507849160789644429235748590380773275850577592741974072956262057507511522889744561744639742356811118822615169081228192921489724460041497705141141805587<277>
prime factors 素因数
10005051495910501251622821562357<32>
9523539224973487050418247968424673691<37>
composite cofactor 合成数の残り
13492923575981030287230335363780317479989450095924436990467748494725837895552662447827535763989991165888010858446282772446328143386373952672653542150453563825158862933556273077469072070596155529745355033025701<209>
factorization results 素因数分解の結果
Input number is 1285652988533350853144211759961460144298763995737813565190953254632156940461531482281297580086525847788119280466270258336192063507849160789644429235748590380773275850577592741974072956262057507511522889744561744639742356811118822615169081228192921489724460041497705141141805587 (277 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2304530602
Step 1 took 29765ms
********** Factor found in step 1: 10005051495910501251622821562357
Found probable prime factor of 32 digits: 10005051495910501251622821562357
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2939979525
Step 1 took 23525ms
Step 2 took 9548ms
********** Factor found in step 2: 9523539224973487050418247968424673691
Found probable prime factor of 37 digits: 9523539224973487050418247968424673691
Composite cofactor 13492923575981030287230335363780317479989450095924436990467748494725837895552662447827535763989991165888010858446282772446328143386373952672653542150453563825158862933556273077469072070596155529745355033025701 has 209 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
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 09:18:07 UTC 2015 年 10 月 28 日 (水) 18 時 18 分 7 秒 (日本時間)
1200Dmitry DomanovOctober 28, 2015 15:32:44 UTC 2015 年 10 月 29 日 (木) 0 時 32 分 44 秒 (日本時間)
4511e6600Dmitry DomanovOctober 30, 2015 23:35:49 UTC 2015 年 10 月 31 日 (土) 8 時 35 分 49 秒 (日本時間)
5043e6800 / 7102400Dmitry DomanovOctober 31, 2015 23:55:18 UTC 2015 年 11 月 1 日 (日) 8 時 55 分 18 秒 (日本時間)
400Dmitry DomanovNovember 1, 2015 23:49:27 UTC 2015 年 11 月 2 日 (月) 8 時 49 分 27 秒 (日本時間)
5511e7100 / 17424Dmitry DomanovNovember 2, 2015 22:01:46 UTC 2015 年 11 月 3 日 (火) 7 時 1 分 46 秒 (日本時間)
6026e75 / 41875Dmitry DomanovNovember 3, 2015 13:51:07 UTC 2015 年 11 月 3 日 (火) 22 時 51 分 7 秒 (日本時間)