Table of contents 目次

77×10107+319

c103

name 名前Serge Batalov
date 日付February 15, 2010 07:42:32 UTC 2010 年 2 月 15 日 (月) 16 時 42 分 32 秒 (日本時間)
composite number 合成数
3736719480586286433621546021582709373973312058296706203099924246505075387102300217748835186891782177401<103>
prime factors 素因数
8196688336739254674718656059428163<34>
455881610605777926196723778469163655674404331457805245253648932059027<69>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=3422920348
Step 1 took 4641ms
Step 2 took 2712ms
********** Factor found in step 2: 8196688336739254674718656059428163
Found probable prime factor of 34 digits: 8196688336739254674718656059428163
Probable prime cofactor has 69 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 15, 2010 04:00:00 UTC 2010 年 2 月 15 日 (月) 13 時 0 分 0 秒 (日本時間)

77×10110+319

c97

name 名前Sinkiti Sibata
date 日付February 15, 2010 12:05:10 UTC 2010 年 2 月 15 日 (月) 21 時 5 分 10 秒 (日本時間)
composite number 合成数
2798885277182882987592103438158877362319040673590569641949838328816989501838722320273612507079639<97>
prime factors 素因数
74302090107903901902251061435979381021<38>
37668997912686589732071731302990607707194716122216724771459<59>
factorization results 素因数分解の結果
Number: 85559_110
N=2798885277182882987592103438158877362319040673590569641949838328816989501838722320273612507079639
  ( 97 digits)
SNFS difficulty: 111 digits.
Divisors found:
 r1=74302090107903901902251061435979381021 (pp38)
 r2=37668997912686589732071731302990607707194716122216724771459 (pp59)
Version: Msieve-1.40
Total time: 0.78 hours.
Scaled time: 2.46 units (timescale=3.143).
Factorization parameters were as follows:
name: 85559_110
n: 2798885277182882987592103438158877362319040673590569641949838328816989501838722320273612507079639
m: 10000000000000000000000
deg: 5
c5: 77
c0: 31
skew: 0.83
type: snfs
lss: 1
rlim: 510000
alim: 510000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 510000/510000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [255000, 405001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 54184 x 54432
Total sieving time: 0.76 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,111.000,5,0,0,0,0,0,0,0,0,510000,510000,25,25,44,44,2.2,2.2,50000
total time: 0.78 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 15, 2010 04:00:00 UTC 2010 年 2 月 15 日 (月) 13 時 0 分 0 秒 (日本時間)

77×10111+319

c101

name 名前anonymous
date 日付February 15, 2010 08:33:06 UTC 2010 年 2 月 15 日 (月) 17 時 33 分 6 秒 (日本時間)
composite number 合成数
12412515989676371351895936442427778489555041573215819856946880607506785884350876663810241861869201213<101>
prime factors 素因数
36552917145819790257590994389<29>
767094349098437677722524350061<30>
442679076697471189190542805722937096203597<42>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2658077943
Step 1 took 7972ms
Step 2 took 5865ms
********** Factor found in step 2: 36552917145819790257590994389
Found probable prime factor of 29 digits: 36552917145819790257590994389
Composite cofactor 339576618198744032104825578327458391636846554933525124398659552955369417 has 72 digits


Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3180843061
Step 1 took 5257ms
Step 2 took 4602ms
********** Factor found in step 2: 767094349098437677722524350061
Found probable prime factor of 30 digits: 767094349098437677722524350061
Probable prime cofactor 442679076697471189190542805722937096203597 has 42 digits
software ソフトウェア
GMP-ECM 6.2.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 15, 2010 04:00:00 UTC 2010 年 2 月 15 日 (月) 13 時 0 分 0 秒 (日本時間)

77×10114+319

c115

name 名前Sinkiti Sibata
date 日付February 15, 2010 09:44:49 UTC 2010 年 2 月 15 日 (月) 18 時 44 分 49 秒 (日本時間)
composite number 合成数
2851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851853<115>
prime factors 素因数
2999040805401885681047150970371153694921197491339<49>
950921323482856108768978910110355195450104514120477720707474856327<66>
factorization results 素因数分解の結果
Number: 85559_114
N=2851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851853
  ( 115 digits)
SNFS difficulty: 115 digits.
Divisors found:
 r1=2999040805401885681047150970371153694921197491339 (pp49)
 r2=950921323482856108768978910110355195450104514120477720707474856327 (pp66)
Version: Msieve-1.40
Total time: 1.32 hours.
Scaled time: 4.30 units (timescale=3.254).
Factorization parameters were as follows:
name: 85559_114
n: 2851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851853
m: 10000000000000000000000
deg: 5
c5: 770000
c0: 31
skew: 0.13
type: snfs
lss: 1
rlim: 600000
alim: 600000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [300000, 600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 79174 x 79422
Total sieving time: 1.29 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,115.000,5,0,0,0,0,0,0,0,0,600000,600000,25,25,45,45,2.2,2.2,50000
total time: 1.32 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 15, 2010 04:00:00 UTC 2010 年 2 月 15 日 (月) 13 時 0 分 0 秒 (日本時間)

77×10118+319

c119

name 名前Sinkiti Sibata
date 日付February 15, 2010 23:29:06 UTC 2010 年 2 月 16 日 (火) 8 時 29 分 6 秒 (日本時間)
composite number 合成数
85555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559<119>
prime factors 素因数
14918591767192422762945516589221826760705734597889171651<56>
5734827850420933375189705452309480621374668370510159194684605709<64>
factorization results 素因数分解の結果
Number: 85559_118
N=85555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559
  ( 119 digits)
SNFS difficulty: 119 digits.
Divisors found:
 r1=14918591767192422762945516589221826760705734597889171651 (pp56)
 r2=5734827850420933375189705452309480621374668370510159194684605709 (pp64)
Version: Msieve-1.40
Total time: 1.86 hours.
Scaled time: 6.05 units (timescale=3.254).
Factorization parameters were as follows:
name: 85559_118
n: 85555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559
m: 100000000000000000000000
deg: 5
c5: 77000
c0: 31
skew: 0.21
type: snfs
lss: 1
rlim: 700000
alim: 700000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [350000, 750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 90904 x 91150
Total sieving time: 1.83 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,119.000,5,0,0,0,0,0,0,0,0,700000,700000,25,25,45,45,2.2,2.2,50000
total time: 1.86 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 15, 2010 04:00:00 UTC 2010 年 2 月 15 日 (月) 13 時 0 分 0 秒 (日本時間)

77×10122+319

c122

name 名前Sinkiti Sibata
date 日付February 15, 2010 23:36:52 UTC 2010 年 2 月 16 日 (火) 8 時 36 分 52 秒 (日本時間)
composite number 合成数
29501915708812260536398467432950191570881226053639846743295019157088122605363984674329501915708812260536398467432950191571<122>
prime factors 素因数
13170415232554242108511073496190358923850513866429925659<56>
2240014091271040527460713069985261770221920850394092948363792492969<67>
factorization results 素因数分解の結果
Number: 85559_122
N=29501915708812260536398467432950191570881226053639846743295019157088122605363984674329501915708812260536398467432950191571
  ( 122 digits)
SNFS difficulty: 123 digits.
Divisors found:
 r1=13170415232554242108511073496190358923850513866429925659 (pp56)
 r2=2240014091271040527460713069985261770221920850394092948363792492969 (pp67)
Version: Msieve-1.40
Total time: 1.93 hours.
Scaled time: 6.29 units (timescale=3.254).
Factorization parameters were as follows:
name: 85559_122
n: 29501915708812260536398467432950191570881226053639846743295019157088122605363984674329501915708812260536398467432950191571
m: 1000000000000000000000000
deg: 5
c5: 7700
c0: 31
skew: 0.33
type: snfs
lss: 1
rlim: 810000
alim: 810000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 810000/810000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [405000, 805001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 106804 x 107049
Total sieving time: 1.88 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,123.000,5,0,0,0,0,0,0,0,0,810000,810000,25,25,46,46,2.2,2.2,50000
total time: 1.93 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 15, 2010 04:00:00 UTC 2010 年 2 月 15 日 (月) 13 時 0 分 0 秒 (日本時間)

77×10125+319

c95

name 名前Erik Branger
date 日付February 15, 2010 18:14:11 UTC 2010 年 2 月 16 日 (火) 3 時 14 分 11 秒 (日本時間)
composite number 合成数
63669794125167331670471326154783000118034239412247658514755274395844961686955346794723095163387<95>
prime factors 素因数
11214499784901700262906311069204337353657<41>
5677452882106005033566831794795969207664447609102615891<55>
factorization results 素因数分解の結果
Number: 85559_125
N = 63669794125167331670471326154783000118034239412247658514755274395844961686955346794723095163387 (95 digits)
SNFS difficulty: 127 digits.
Divisors found:
r1=11214499784901700262906311069204337353657 (pp41)
r2=5677452882106005033566831794795969207664447609102615891 (pp55)
Version: Msieve v. 1.44
Total time: 3.03 hours.
Factorization parameters were as follows:
n: 63669794125167331670471326154783000118034239412247658514755274395844961686955346794723095163387
m: 10000000000000000000000000
deg: 5
c5: 77
c0: 31
skew: 0.83
type: snfs
lss: 1
rlim: 910000
alim: 910000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 910000/910000
Large primes per side: 3
Large prime bits: 26/26
Sieved rational special-q in [455000, 805000)
Relations: 2925086
Relations in full relation-set: 163060 relations
Pruned matrix : 107602 x 107827
Polynomial selection time: 0.00 hours.
Total sieving time: 2.95 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.03 hours.
time per square root: 0.01 hours.
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 15, 2010 04:00:00 UTC 2010 年 2 月 15 日 (月) 13 時 0 分 0 秒 (日本時間)

77×10128+319

c127

name 名前Dmitry Domanov
date 日付February 18, 2010 09:04:28 UTC 2010 年 2 月 18 日 (木) 18 時 4 分 28 秒 (日本時間)
composite number 合成数
2233826515810850014505366985784740353930954453147664635915288656803017116333043225993617638526254714244270380040615027560197273<127>
prime factors 素因数
12375410366407884026295491908633265685641388889<47>
180505247880458431921417852854453628786952589383010346567684564491105267509275457<81>
factorization results 素因数分解の結果
N=2233826515810850014505366985784740353930954453147664635915288656803017116333043225993617638526254714244270380040615027560197273
  ( 127 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=12375410366407884026295491908633265685641388889 (pp47)
 r2=180505247880458431921417852854453628786952589383010346567684564491105267509275457 (pp81)
Version: Msieve-1.40
Total time: 2.87 hours.
Scaled time: 5.30 units (timescale=1.845).
Factorization parameters were as follows:
n: 2233826515810850014505366985784740353930954453147664635915288656803017116333043225993617638526254714244270380040615027560197273
m: 10000000000000000000000000
deg: 5
c5: 77000
c0: 31
skew: 0.21
type: snfs
lss: 1
rlim: 1020000
alim: 1020000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1020000/1020000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [510000, 1110001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 163490 x 163715
Total sieving time: 2.70 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,129.000,5,0,0,0,0,0,0,0,0,1020000,1020000,26,26,47,47,2.3,2.3,50000
total time: 2.87 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 15, 2010 04:00:00 UTC 2010 年 2 月 15 日 (月) 13 時 0 分 0 秒 (日本時間)

77×10130+319

c97

name 名前shyguy7129
date 日付February 17, 2010 22:27:56 UTC 2010 年 2 月 18 日 (木) 7 時 27 分 56 秒 (日本時間)
composite number 合成数
3729267974172191599185627788090563934938190051003520211020659331439517457009561798946424666272531<97>
prime factors 素因数
2452413033844891055689246641353546628601<40>
1520652485003901834913387067177314552777758835369668045931<58>
factorization results 素因数分解の結果
Number: 85559_130
N = 3729267974172191599185627788090563934938190051003520211020659331439517457009561798946424666272531 (97 digits)
SNFS difficulty: 132 digits.
Divisors found:
r1=2452413033844891055689246641353546628601 (pp40)
r2=1520652485003901834913387067177314552777758835369668045931 (pp58)
Version: Msieve v. 1.44
Total time: 9.28 hours.
Factorization parameters were as follows:
n: 3729267974172191599185627788090563934938190051003520211020659331439517457009561798946424666272531
m: 100000000000000000000000000
deg: 5
c5: 77
c0: 31
skew: 0.83
type: snfs
lss: 1
rlim: 1100000
alim: 1100000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
qintsize: 100000
Factor base limits: 1100000/1100000
Large primes per side: 3
Large prime bits: 26/26
Sieved rational special-q in [550000, 1050000)
Total raw relations: 3292105
Relations: 209238 relations
Pruned matrix : 138961 x 139186
Polynomial selection time: 0.00 hours.
Total sieving time: 8.94 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.21 hours.
time per square root: 0.04 hours.
Prototype def-par.txt line would be: snfs,132,5,0,0,0,0,0,0,0,0,1100000,1100000,26,26,47,47,2.3,2.3,100000
total time: 9.28 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS + Msieve v1.44
execution environment 実行環境
Windows XP Athlon, Command Prompt + Python 3.1.1.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 15, 2010 04:00:00 UTC 2010 年 2 月 15 日 (月) 13 時 0 分 0 秒 (日本時間)

77×10136+319

c101

name 名前shyguy7129
date 日付February 20, 2010 04:07:30 UTC 2010 年 2 月 20 日 (土) 13 時 7 分 30 秒 (日本時間)
composite number 合成数
14906279691163047456822669448543048951626276572233947511373047640274301308813481181392909846211633759<101>
prime factors 素因数
451160757048600348248182843090953668611<39>
33039841028454741414433723524930873791517848522691153936503669<62>
factorization results 素因数分解の結果
Number: 85559_136
N = 14906279691163047456822669448543048951626276572233947511373047640274301308813481181392909846211633759 (101 digits)
SNFS difficulty: 138 digits.
Divisors found:
r1=451160757048600348248182843090953668611 (pp39)
r2=33039841028454741414433723524930873791517848522691153936503669 (pp62)
Version: Msieve v. 1.43
Total time: 4.59 hours.
Factorization parameters were as follows:
n: 14906279691163047456822669448543048951626276572233947511373047640274301308813481181392909846211633759 
m: 1000000000000000000000000000 
deg: 5 
c5: 770 
c0: 31
skew: 0.53 
type: snfs 
lss: 1
rlim: 1390000 
alim: 1390000 
lpbr: 26 
lpba: 26 
mfbr: 48 
mfba: 48 
rlambda: 2.3 
alambda: 2.3 
qintsize: 100000
Factor base limits: 1390000/1390000
Large primes per side: 3
Large prime bits: 26/26
Sieved rational special-q in [695000, 1495000)
Total raw relations: 4100547
Relations: 258476 relations
Pruned matrix : 176720 x 176945
Polynomial selection time: 0.00 hours.
Total sieving time: 4.44 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.11 hours.
time per square root: 0.01 hours.
Prototype def-par.txt line would be: snfs,138,5,0,0,0,0,0,0,0,0,1390000,1390000,26,26,48,48,2.3,2.3,100000
total time: 4.59 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS + Msieve v1.44

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 15, 2010 04:00:00 UTC 2010 年 2 月 15 日 (月) 13 時 0 分 0 秒 (日本時間)

77×10139+319

c140

name 名前Dmitry Domanov
date 日付February 18, 2010 09:07:44 UTC 2010 年 2 月 18 日 (木) 18 時 7 分 44 秒 (日本時間)
composite number 合成数
85555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559<140>
prime factors 素因数
32270291046527105107514550316528283263637<41>
2651217351346539985852273750047927453828391959529328329998507534486697523346822781036982282175687307<100>
factorization results 素因数分解の結果
N=85555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559
  ( 140 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=32270291046527105107514550316528283263637 (pp41)
 r2=2651217351346539985852273750047927453828391959529328329998507534486697523346822781036982282175687307 (pp100)
Version: Msieve-1.40
Total time: 6.91 hours.
Scaled time: 13.12 units (timescale=1.899).
Factorization parameters were as follows:
n: 85555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559
m: 1000000000000000000000000000
deg: 5
c5: 770000
c0: 31
skew: 0.13
type: snfs
lss: 1
rlim: 1560000
alim: 1560000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1560000/1560000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [780000, 2180001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 293191 x 293416
Total sieving time: 6.74 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,140.000,5,0,0,0,0,0,0,0,0,1560000,1560000,26,26,48,48,2.3,2.3,100000
total time: 6.91 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 15, 2010 04:00:00 UTC 2010 年 2 月 15 日 (月) 13 時 0 分 0 秒 (日本時間)

77×10145+319

c141

name 名前Sinkiti Sibata
date 日付February 16, 2010 23:23:52 UTC 2010 年 2 月 17 日 (水) 8 時 23 分 52 秒 (日本時間)
composite number 合成数
236675405214420232857861665377246764232260333109874866332185918674027579139491258532225200643880050445672082844998203418514963264596033504631<141>
prime factors 素因数
53503427998879353790442566878683439069828975173<47>
4423555911583412450188107429414536481436132708563249554298314686609106737832427300441608145547<94>
factorization results 素因数分解の結果
Number: 85559_145
N=236675405214420232857861665377246764232260333109874866332185918674027579139491258532225200643880050445672082844998203418514963264596033504631
  ( 141 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=53503427998879353790442566878683439069828975173 (pp47)
 r2=4423555911583412450188107429414536481436132708563249554298314686609106737832427300441608145547 (pp94)
Version: Msieve-1.40
Total time: 10.48 hours.
Scaled time: 32.15 units (timescale=3.067).
Factorization parameters were as follows:
name: 85559_145
n: 236675405214420232857861665377246764232260333109874866332185918674027579139491258532225200643880050445672082844998203418514963264596033504631
m: 100000000000000000000000000000
deg: 5
c5: 77
c0: 31
skew: 0.83
type: snfs
lss: 1
rlim: 1960000
alim: 1960000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1960000/1960000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [980000, 2280001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 314647 x 314895
Total sieving time: 10.21 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.19 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,146.000,5,0,0,0,0,0,0,0,0,1960000,1960000,26,26,49,49,2.3,2.3,100000
total time: 10.48 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 15, 2010 04:00:00 UTC 2010 年 2 月 15 日 (月) 13 時 0 分 0 秒 (日本時間)

77×10146+319

c122

name 名前Jo Yeong Uk
date 日付February 16, 2010 22:52:08 UTC 2010 年 2 月 17 日 (水) 7 時 52 分 8 秒 (日本時間)
composite number 合成数
31791389364485750298844850902259787592639167818691623854914431923214626610736907005319798255136770146334779423044711134637<122>
prime factors 素因数
187803336347859817969184189911009921841467<42>
169280216117140566313221261499927294535930797552013637135712207959013482436435511<81>
factorization results 素因数分解の結果
Number: 85559_146
N=31791389364485750298844850902259787592639167818691623854914431923214626610736907005319798255136770146334779423044711134637
  ( 122 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=187803336347859817969184189911009921841467
 r2=169280216117140566313221261499927294535930797552013637135712207959013482436435511
Version: 
Total time: 7.02 hours.
Scaled time: 16.74 units (timescale=2.385).
Factorization parameters were as follows:
n: 31791389364485750298844850902259787592639167818691623854914431923214626610736907005319798255136770146334779423044711134637
m: 100000000000000000000000000000
deg: 5
c5: 770
c0: 31
skew: 0.53
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1500000, 2100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 6679082
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 348578 x 348826
Total sieving time: 6.29 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 0.26 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,147,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,49,49,2.3,2.3,75000
total time: 7.02 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046640k/8912896k available (2550k kernel code, 339524k reserved, 1291k data, 208k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5345.61 BogoMIPS (lpj=2672808)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672339)
Calibrating delay using timer specific routine.. 5237.81 BogoMIPS (lpj=2618905)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 15, 2010 04:00:00 UTC 2010 年 2 月 15 日 (月) 13 時 0 分 0 秒 (日本時間)

77×10148+319

c131

name 名前Sinkiti Sibata
date 日付February 19, 2010 04:44:39 UTC 2010 年 2 月 19 日 (金) 13 時 44 分 39 秒 (日本時間)
composite number 合成数
48681272033513840880681203190885410370477934884837622474743087039620082284124299756856054245259664278806327547024930668305093810981<131>
prime factors 素因数
4062246829482354979431964776874940942923275652218846318287842943<64>
11983829165722362167651780958778039640575666837696976386511892376667<68>
factorization results 素因数分解の結果
Number: 85559_148
N=48681272033513840880681203190885410370477934884837622474743087039620082284124299756856054245259664278806327547024930668305093810981
  ( 131 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=4062246829482354979431964776874940942923275652218846318287842943 (pp64)
 r2=11983829165722362167651780958778039640575666837696976386511892376667 (pp68)
Version: Msieve-1.40
Total time: 22.28 hours.
Scaled time: 67.36 units (timescale=3.024).
Factorization parameters were as follows:
name: 85559_148
n: 48681272033513840880681203190885410370477934884837622474743087039620082284124299756856054245259664278806327547024930668305093810981
m: 100000000000000000000000000000
deg: 5
c5: 77000
c0: 31
skew: 0.21
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1100000, 3800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 432543 x 432784
Total sieving time: 21.51 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.45 hours.
Time per square root: 0.26 hours.
Prototype def-par.txt line would be:
snfs,149.000,5,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000
total time: 22.28 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 15, 2010 04:00:00 UTC 2010 年 2 月 15 日 (月) 13 時 0 分 0 秒 (日本時間)

77×10149+319

c147

name 名前Sinkiti Sibata
date 日付February 19, 2010 04:50:30 UTC 2010 年 2 月 19 日 (金) 13 時 50 分 30 秒 (日本時間)
composite number 合成数
461713737482760688373208610661389938238292258799544282544822210229657612280386160580440127121184865383462253402890208070995982490855669484919350003<147>
prime factors 素因数
998532342800498237254565249053922801337395969723<48>
462392370975016861785082383119514205471605208228119219118357894962341265114311050961974796838360361<99>
factorization results 素因数分解の結果
Number: 85559_149
N=461713737482760688373208610661389938238292258799544282544822210229657612280386160580440127121184865383462253402890208070995982490855669484919350003
  ( 147 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=998532342800498237254565249053922801337395969723 (pp48)
 r2=462392370975016861785082383119514205471605208228119219118357894962341265114311050961974796838360361 (pp99)
Version: Msieve-1.40
Total time: 23.51 hours.
Scaled time: 54.03 units (timescale=2.298).
Factorization parameters were as follows:
name: 85559_149
n: 461713737482760688373208610661389938238292258799544282544822210229657612280386160580440127121184865383462253402890208070995982490855669484919350003
m: 100000000000000000000000000000
deg: 5
c5: 770000
c0: 31
skew: 0.13
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, 2250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 433822 x 434070
Total sieving time: 22.93 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.43 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,150.000,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 23.51 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 15, 2010 04:00:00 UTC 2010 年 2 月 15 日 (月) 13 時 0 分 0 秒 (日本時間)

77×10151+319

c149

name 名前Sinkiti Sibata
date 日付November 3, 2010 12:54:14 UTC 2010 年 11 月 3 日 (水) 21 時 54 分 14 秒 (日本時間)
composite number 合成数
43852155589726066404692750156614841391878808588188393416481576399567173529244262201719915712739905461586650720428270402642519505666609715815251438009<149>
prime factors 素因数
572725794480693596232273384480701<33>
6244619902033829718930077937965659915362143<43>
12261347306704246820151760702375050301389575647823719445267339182343246963<74>
factorization results 素因数分解の結果
Number: 85559_151
N=43852155589726066404692750156614841391878808588188393416481576399567173529244262201719915712739905461586650720428270402642519505666609715815251438009
  ( 149 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=572725794480693596232273384480701 (pp33)
 r2=6244619902033829718930077937965659915362143 (pp43)
 r3=12261347306704246820151760702375050301389575647823719445267339182343246963 (pp74)
Version: Msieve-1.40
Total time: 20.96 hours.
Scaled time: 42.59 units (timescale=2.032).
Factorization parameters were as follows:
name: 85559_151
n: 43852155589726066404692750156614841391878808588188393416481576399567173529244262201719915712739905461586650720428270402642519505666609715815251438009
m: 1000000000000000000000000000000
deg: 5
c5: 770
c0: 31
skew: 0.53
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1250000, 2050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 426848 x 427096
Total sieving time: 19.93 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.66 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,152.000,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 20.96 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 KamadaNovember 2, 2010 13:00:00 UTC 2010 年 11 月 2 日 (火) 22 時 0 分 0 秒 (日本時間)

77×10156+319

c155

name 名前Sinkiti Sibata
date 日付November 4, 2010 22:26:11 UTC 2010 年 11 月 5 日 (金) 7 時 26 分 11 秒 (日本時間)
composite number 合成数
50032488628979857050032488628979857050032488628979857050032488628979857050032488628979857050032488628979857050032488628979857050032488628979857050032488629<155>
prime factors 素因数
24106463634140274184499283517510822553426110773556919951329<59>
2075480227556994009553925096977912608854982691400403417815665448967302764446960501622451864783701<97>
factorization results 素因数分解の結果
Number: 85559_156
N=50032488628979857050032488628979857050032488628979857050032488628979857050032488628979857050032488628979857050032488628979857050032488628979857050032488629
  ( 155 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=24106463634140274184499283517510822553426110773556919951329 (pp59)
 r2=2075480227556994009553925096977912608854982691400403417815665448967302764446960501622451864783701 (pp97)
Version: Msieve-1.40
Total time: 28.74 hours.
Scaled time: 57.85 units (timescale=2.013).
Factorization parameters were as follows:
name: 85559_156
n: 50032488628979857050032488628979857050032488628979857050032488628979857050032488628979857050032488628979857050032488628979857050032488628979857050032488629
m: 10000000000000000000000000000000
deg: 5
c5: 770
c0: 31
skew: 0.53
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1500000, 2600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 543413 x 543661
Total sieving time: 27.36 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.08 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,157.000,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 28.74 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 KamadaNovember 2, 2010 13:00:00 UTC 2010 年 11 月 2 日 (火) 22 時 0 分 0 秒 (日本時間)

77×10157+319

c149

name 名前Sinkiti Sibata
date 日付November 4, 2010 22:37:41 UTC 2010 年 11 月 5 日 (金) 7 時 37 分 41 秒 (日本時間)
composite number 合成数
34044807526321289413503614987159204325593917024932456714574732487217935266234770497880330468672045024594333943879603085619048443790976736278796019571<149>
prime factors 素因数
1352143930344355892929029194320883754530286421572207557709253294342127<70>
25178390230728589938709798444727680742713947490497286507267152235185505011190973<80>
factorization results 素因数分解の結果
Number: 85559_157
N=34044807526321289413503614987159204325593917024932456714574732487217935266234770497880330468672045024594333943879603085619048443790976736278796019571
  ( 149 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=1352143930344355892929029194320883754530286421572207557709253294342127 (pp70)
 r2=25178390230728589938709798444727680742713947490497286507267152235185505011190973 (pp80)
Version: Msieve v. 1.42
Total time: 1.56 hours.
Scaled time: 1.33 units (timescale=0.852).
Factorization parameters were as follows:
name: 85559_157
n: 34044807526321289413503614987159204325593917024932456714574732487217935266234770497880330468672045024594333943879603085619048443790976736278796019571
m: 10000000000000000000000000000000
deg: 5
c5: 7700
c0: 31
skew: 0.33
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1550000, 3150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 599512 x 599737
Total sieving time: 0.00 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 1.17 hours.
Time per square root: 0.32 hours.
Prototype def-par.txt line would be:
snfs,158.000,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 1.56 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
Memory: 3886124k/4718592k available (3786k kernel code, 656964k absent, 175504k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5827.13 BogoMIPS (lpj=2913568)
Calibrating delay using timer specific routine.. 5826.53 BogoMIPS (lpj=2913268)
Total of 2 processors activated (11653.67 BogoMIPS).

Total time: 17 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 2, 2010 13:00:00 UTC 2010 年 11 月 2 日 (火) 22 時 0 分 0 秒 (日本時間)

77×10162+319

c113

name 名前Sinkiti Sibata
date 日付November 6, 2010 05:18:36 UTC 2010 年 11 月 6 日 (土) 14 時 18 分 36 秒 (日本時間)
composite number 合成数
29641054352749997061717784716886908609604471875652606314358252831191427263788777441019777685247722322305488042041<113>
prime factors 素因数
8892550475121260680813736865621291428570964667<46>
3333245556005214065009535926725060997358274312763362370031162164123<67>
factorization results 素因数分解の結果
Number: 85559_162
N=29641054352749997061717784716886908609604471875652606314358252831191427263788777441019777685247722322305488042041
  ( 113 digits)
Divisors found:
 r1=8892550475121260680813736865621291428570964667 (pp46)
 r2=3333245556005214065009535926725060997358274312763362370031162164123 (pp67)
Version: Msieve-1.40
Total time: 30.08 hours.
Scaled time: 61.51 units (timescale=2.045).
Factorization parameters were as follows:
name: 85559_162
n: 29641054352749997061717784716886908609604471875652606314358252831191427263788777441019777685247722322305488042041
skew: 23829.53
# norm 8.85e+14
c5: 9060
c4: -394962456
c3: -48829538896457
c2: 168111094632334378
c1: 5392821270588653138178
c0: -26465737967592782498186976
# alpha -4.42
Y1: 217680738889
Y0: -5046069796942550250955
# Murphy_E 7.24e-10
# M 23613499213066109208537171591294967607896894985959601098670987292837944759598334546400738126150548085844758242671
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 416293 x 416541
Polynomial selection time: 2.12 hours.
Total sieving time: 26.90 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.61 hours.
Time per square root: 0.29 hours.
Prototype def-par.txt line would be:
gnfs,112,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 30.08 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 KamadaNovember 2, 2010 13:00:00 UTC 2010 年 11 月 2 日 (火) 22 時 0 分 0 秒 (日本時間)

77×10163+319

c146

name 名前Sinkiti Sibata
date 日付November 4, 2010 00:52:11 UTC 2010 年 11 月 4 日 (木) 9 時 52 分 11 秒 (日本時間)
composite number 合成数
11999545412649535244282320250677229678618693477878373909465972569519433469499659899886269309740746447029684936964354893540644304806829445958232749<146>
prime factors 素因数
3942083908898263164647005763<28>
28368879605038818567828857239313185867804596727473388601<56>
107299264564683350744200295782340616670042695543293771448167623<63>
factorization results 素因数分解の結果
Number: 85559_163
N=11999545412649535244282320250677229678618693477878373909465972569519433469499659899886269309740746447029684936964354893540644304806829445958232749
  ( 146 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=3942083908898263164647005763 (pp28)
 r2=28368879605038818567828857239313185867804596727473388601 (pp56)
 r3=107299264564683350744200295782340616670042695543293771448167623 (pp63)
Version: Msieve v. 1.42
Total time: 2.95 hours.
Scaled time: 2.51 units (timescale=0.851).
Factorization parameters were as follows:
name: 85559_163
n: 11999545412649535244282320250677229678618693477878373909465972569519433469499659899886269309740746447029684936964354893540644304806829445958232749
m: 100000000000000000000000000000000
deg: 5
c5: 77000
c0: 31
skew: 0.21
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1950000, 4850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 818456 x 818683
Total sieving time: 0.00 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 2.32 hours.
Time per square root: 0.54 hours.
Prototype def-par.txt line would be:
snfs,164.000,5,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000
total time: 2.95 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
Memory: 3886124k/4718592k available (3786k kernel code, 656964k absent, 175504k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5827.13 BogoMIPS (lpj=2913568)
Calibrating delay using timer specific routine.. 5826.53 BogoMIPS (lpj=2913268)
Total of 2 processors activated (11653.67 BogoMIPS).

Total time: 33 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 2, 2010 13:00:00 UTC 2010 年 11 月 2 日 (火) 22 時 0 分 0 秒 (日本時間)

77×10164+319

c156

name 名前Ignacio Santos
date 日付November 2, 2010 21:22:14 UTC 2010 年 11 月 3 日 (水) 6 時 22 分 14 秒 (日本時間)
composite number 合成数
237976351048625114197846791539556632571988632673143293134146518038927271335806740043460904590475689394245343163722748985486827011524034500214522808113165183<156>
prime factors 素因数
1084399519018242823839341963629823<34>
31811190900419167029159284762076427511<38>
6898657071283316622123614173668551467912206281421802606056506221766758689501757904711<85>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=644153999
Step 1 took 6069ms
Step 2 took 4352ms
********** Factor found in step 2: 1084399519018242823839341963629823
Found probable prime factor of 34 digits: 1084399519018242823839341963629823
Composite cofactor 219454497051120182641275973872524142408075692491512891716268686043964362207396558229583865354349341769228751500563636904321 has 123 digits

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1057717446
Step 1 took 26271ms
Step 2 took 13587ms
********** Factor found in step 2: 31811190900419167029159284762076427511
Found probable prime factor of 38 digits: 31811190900419167029159284762076427511
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 2, 2010 13:00:00 UTC 2010 年 11 月 2 日 (火) 22 時 0 分 0 秒 (日本時間)

77×10165+319

c157

name 名前Serge Batalov
date 日付November 3, 2010 01:35:34 UTC 2010 年 11 月 3 日 (水) 10 時 35 分 34 秒 (日本時間)
composite number 合成数
5003892495154243992208120306330440492556920434363751050855521800252071812282303427179337472521622315149353784251318957550636126036323608754166458024657623991<157>
prime factors 素因数
29712179656773176016457498374436499<35>
composite cofactor 合成数の残り
168412164740447062997898745624720441721057793809559428226476479962422655586045372504855120183868990231193829157147251554509<123>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2418639260
Step 1 took 7745ms
Step 2 took 3837ms
********** Factor found in step 2: 29712179656773176016457498374436499
Found probable prime factor of 35 digits: 29712179656773176016457498374436499
Composite cofactor has 123 digits

c123

name 名前Markus Tervooren
date 日付November 8, 2010 14:52:38 UTC 2010 年 11 月 8 日 (月) 23 時 52 分 38 秒 (日本時間)
composite number 合成数
168412164740447062997898745624720441721057793809559428226476479962422655586045372504855120183868990231193829157147251554509<123>
prime factors 素因数
62115287209395792882847669063066779130748523467<47>
2711283684042475184047630854464173541334351513600770461751983709500612182727<76>
factorization results 素因数分解の結果
Msieve v. 1.47
Mon Nov  8 15:42:21 2010
random seeds: 9f748599 24699bf2
factoring 168412164740447062997898745624720441721057793809559428226476479962422655586045372504855120183868990231193829157147251554509 (123 digits)
no P-1/P+1/ECM available, skipping
commencing number field sieve (123-digit input)
R0: -1000000000000000000000000000000000
R1:  1
A0:  31
A1:  0
A2:  0
A3:  0
A4:  0
A5:  77
skew 0.83, size 1.067e-11, alpha 0.762, combined = 3.419e-10 rroots = 1

commencing relation filtering
estimated available RAM is 8003.8 MB
commencing duplicate removal, pass 1
error -11 reading relation 263
error -11 reading relation 61819
error -9 reading relation 76340
error -1 reading relation 90348
error -5 reading relation 105137
error -11 reading relation 118680
error -11 reading relation 119335
error -9 reading relation 119979
error -9 reading relation 120468
error -9 reading relation 120875
error -11 reading relation 121697
error -9 reading relation 122103
error -15 reading relation 130204
error -15 reading relation 130253
error -9 reading relation 169270
error -9 reading relation 169319
error -9 reading relation 203753
error -1 reading relation 203801
error -15 reading relation 235663
error -9 reading relation 235711
error -9 reading relation 339411
error -9 reading relation 431602
error -11 reading relation 531607
error -15 reading relation 714049
error -9 reading relation 714095
error -15 reading relation 714186
error -11 reading relation 721064
error -9 reading relation 727844
error -9 reading relation 734822
error -9 reading relation 872314
error -6 reading relation 992162
error -9 reading relation 1091659
error -15 reading relation 1183298
error -9 reading relation 1191960
error -9 reading relation 1200421
error -15 reading relation 1209023
error -11 reading relation 1216402
error -15 reading relation 1216404
error -15 reading relation 1223319
error -9 reading relation 1234194
error -9 reading relation 1310524
error -9 reading relation 1322570
error -15 reading relation 1332091
skipped 2 relations with b > 2^32
found 267359 hash collisions in 1341467 relations
added 28036 free relations
commencing duplicate removal, pass 2
found 356574 duplicates and 1012929 unique relations
memory use: 8.7 MB
reading ideals above 30000
commencing singleton removal, initial pass
memory use: 23.5 MB
reading all ideals from disk
memory use: 41.8 MB
keeping 1031482 ideals with weight <= 200, target excess is 6935
commencing in-memory singleton removal
begin with 1012928 relations and 1031482 unique ideals
reduce to 743657 relations and 734351 ideals in 10 passes
max relations containing the same ideal: 168
relations with 0 large ideals: 156
relations with 1 large ideals: 5
relations with 2 large ideals: 12
relations with 3 large ideals: 197
relations with 4 large ideals: 1691
relations with 5 large ideals: 9279
relations with 6 large ideals: 48970
relations with 7+ large ideals: 683347
commencing 2-way merge
reduce to 553564 relation sets and 544259 unique ideals
ignored 1 oversize relation sets
commencing full merge
memory use: 71.6 MB
found 281165 cycles, need 280459
weight of 280459 cycles is about 19693960 (70.22/cycle)
distribution of cycle lengths:
1 relations: 31821
2 relations: 39793
3 relations: 39545
4 relations: 34056
5 relations: 28120
6 relations: 22683
7 relations: 17895
8 relations: 14091
9 relations: 11098
10+ relations: 41357
heaviest cycle: 28 relations
commencing cycle optimization
start with 1544190 relations
pruned 60193 relations
memory use: 46.3 MB
distribution of cycle lengths:
1 relations: 31821
2 relations: 41059
3 relations: 41727
4 relations: 35357
5 relations: 28874
6 relations: 22831
7 relations: 17738
8 relations: 13651
9 relations: 10535
10+ relations: 36866
heaviest cycle: 28 relations
RelProcTime: 56

commencing linear algebra
read 280459 cycles
cycles contain 725388 unique relations
read 725388 relations
using 20 quadratic characters above 8388594
building initial matrix
memory use: 96.3 MB
read 280459 cycles
matrix is 280281 x 280459 (83.1 MB) with weight 24952062 (88.97/col)
sparse part has weight 18688047 (66.63/col)
filtering completed in 2 passes
matrix is 280159 x 280337 (83.0 MB) with weight 24945670 (88.98/col)
sparse part has weight 18684761 (66.65/col)
matrix starts at (0, 0)
matrix is 280159 x 280337 (83.0 MB) with weight 24945670 (88.98/col)
sparse part has weight 18684761 (66.65/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 280111 x 280337 (78.8 MB) with weight 19630543 (70.02/col)
sparse part has weight 17859753 (63.71/col)
using block size 65536 for processor cache size 4096 kB
commencing Lanczos iteration (2 threads)
memory use: 63.1 MB
linear algebra at 4.3%, ETA 0h 5m 280337 dimensions (4.3%, ETA 0h 5m)    
linear algebra completed 279266 of 280337 dimensions (99.6%, ETA 0h 0m)    
lanczos halted after 4431 iterations (dim = 280106)
recovered 33 nontrivial dependencies
BLanczosTime: 367

commencing square root phase
reading relations for dependency 1
read 139845 cycles
cycles contain 362892 unique relations
read 362892 relations
multiplying 362892 relations
multiply complete, coefficients have about 10.67 million bits
initial square root is modulo 1351751
reading relations for dependency 2
read 140125 cycles
cycles contain 362914 unique relations
read 362914 relations
multiplying 362914 relations
multiply complete, coefficients have about 10.67 million bits
initial square root is modulo 1352111
sqrtTime: 124
prp47 factor: 62115287209395792882847669063066779130748523467
prp76 factor: 2711283684042475184047630854464173541334351513600770461751983709500612182727
elapsed time 00:09:07

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 2, 2010 13:00:00 UTC 2010 年 11 月 2 日 (火) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 2, 2010 23:17:17 UTC 2010 年 11 月 3 日 (水) 8 時 17 分 17 秒 (日本時間)
403e6321 / 2126110Ignacio SantosNovember 2, 2010 23:17:17 UTC 2010 年 11 月 3 日 (水) 8 時 17 分 17 秒 (日本時間)
211juno1369November 4, 2010 22:27:31 UTC 2010 年 11 月 5 日 (金) 7 時 27 分 31 秒 (日本時間)
4511e632 / 4390Ignacio SantosNovember 2, 2010 23:17:17 UTC 2010 年 11 月 3 日 (水) 8 時 17 分 17 秒 (日本時間)

77×10167+319

c142

name 名前Ignacio Santos
date 日付November 2, 2010 20:53:12 UTC 2010 年 11 月 3 日 (水) 5 時 53 分 12 秒 (日本時間)
composite number 合成数
7447340139589669241567882015818333009612407988479604414842670812785333321149251520838948554323650284971854442094034291925287739568059286666207<142>
prime factors 素因数
38291423506348737893026717875917<32>
194491075484694278361907431329630181813683060875312980799686107499094498754650199843177676343415685723268353371<111>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=46469068
Step 1 took 18174ms
Step 2 took 9844ms
********** Factor found in step 2: 38291423506348737893026717875917
Found probable prime factor of 32 digits: 38291423506348737893026717875917
Probable prime cofactor 194491075484694278361907431329630181813683060875312980799686107499094498754650199843177676343415685723268353371 has 111 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 2, 2010 13:00:00 UTC 2010 年 11 月 2 日 (火) 22 時 0 分 0 秒 (日本時間)

77×10169+319

c126

name 名前Erik Branger
date 日付December 22, 2010 06:04:16 UTC 2010 年 12 月 22 日 (水) 15 時 4 分 16 秒 (日本時間)
composite number 合成数
541221241606800402765122328583097456295628719996252028169530020786191904399475417711772247552199637590749004220969848649990683<126>
prime factors 素因数
13518035432268023298529782933053964284929574441<47>
40036974626866739282450808112786445960159476017358477529028387086994067298444963<80>
factorization results 素因数分解の結果
Number: 85559_169
N = 541221241606800402765122328583097456295628719996252028169530020786191904399475417711772247552199637590749004220969848649990683 (126 digits)
SNFS difficulty: 171 digits.
Divisors found:
r1=13518035432268023298529782933053964284929574441 (pp47)
r2=40036974626866739282450808112786445960159476017358477529028387086994067298444963 (pp80)
Version: Msieve v. 1.47
Total time: 63.74 hours.
Factorization parameters were as follows:
n: 541221241606800402765122328583097456295628719996252028169530020786191904399475417711772247552199637590749004220969848649990683
m: 1000000000000000000000000000000000
deg: 5
c5: 770000
c0: 31
skew: 0.13
type: snfs
lss: 1
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [2450000, 7150000)
Relations: 11496905
Relations in full relation-set: 1930910 relations
Pruned matrix : 1143831 x 1144076
Polynomial selection time: 0.00 hours.
Total sieving time: 62.55 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 1.00 hours.
time per square root: 0.13 hours.
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 2, 2010 13:00:00 UTC 2010 年 11 月 2 日 (火) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 2, 2010 18:23:46 UTC 2010 年 11 月 3 日 (水) 3 時 23 分 46 秒 (日本時間)
403e6860110Ignacio SantosNovember 2, 2010 18:23:46 UTC 2010 年 11 月 3 日 (水) 3 時 23 分 46 秒 (日本時間)
750Ignacio SantosNovember 21, 2010 12:09:25 UTC 2010 年 11 月 21 日 (日) 21 時 9 分 25 秒 (日本時間)
4511e6246 / 406832Ignacio SantosNovember 2, 2010 18:23:46 UTC 2010 年 11 月 3 日 (水) 3 時 23 分 46 秒 (日本時間)
214Ignacio SantosNovember 21, 2010 12:09:25 UTC 2010 年 11 月 21 日 (日) 21 時 9 分 25 秒 (日本時間)
5043e658 / 7463Ignacio SantosNovember 21, 2010 12:09:25 UTC 2010 年 11 月 21 日 (日) 21 時 9 分 25 秒 (日本時間)

77×10170+319

c139

name 名前Sinkiti Sibata
date 日付April 2, 2011 23:53:30 UTC 2011 年 4 月 3 日 (日) 8 時 53 分 30 秒 (日本時間)
composite number 合成数
1418574282377867213649392876255475639822263322895197155783928852926152637395998139525589418581482740016256034680035118492140567049382291137<139>
prime factors 素因数
3302368198455762426900448880128304792177390337708831211420421<61>
429562725029030413278038653149251521303875412877041615422759025187465032704397<78>
factorization results 素因数分解の結果
Number: 85559_170
N=1418574282377867213649392876255475639822263322895197155783928852926152637395998139525589418581482740016256034680035118492140567049382291137
  ( 139 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=3302368198455762426900448880128304792177390337708831211420421 (pp61)
 r2=429562725029030413278038653149251521303875412877041615422759025187465032704397 (pp78)
Version: Msieve-1.40
Total time: 84.33 hours.
Scaled time: 187.05 units (timescale=2.218).
Factorization parameters were as follows:
name: 85559_170
n: 1418574282377867213649392876255475639822263322895197155783928852926152637395998139525589418581482740016256034680035118492140567049382291137
m: 10000000000000000000000000000000000
deg: 5
c5: 77
c0: 31
skew: 0.83
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2550000, 5650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1015280 x 1015528
Total sieving time: 81.44 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 2.60 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,171.000,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 84.33 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 2, 2010 13:00:00 UTC 2010 年 11 月 2 日 (火) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 2, 2010 20:06:09 UTC 2010 年 11 月 3 日 (水) 5 時 6 分 9 秒 (日本時間)
403e6860110Ignacio SantosNovember 2, 2010 20:06:09 UTC 2010 年 11 月 3 日 (水) 5 時 6 分 9 秒 (日本時間)
750Ignacio SantosNovember 30, 2010 05:46:59 UTC 2010 年 11 月 30 日 (火) 14 時 46 分 59 秒 (日本時間)
4511e6246 / 392732Ignacio SantosNovember 2, 2010 20:06:09 UTC 2010 年 11 月 3 日 (水) 5 時 6 分 9 秒 (日本時間)
214Ignacio SantosNovember 30, 2010 05:46:59 UTC 2010 年 11 月 30 日 (火) 14 時 46 分 59 秒 (日本時間)
5043e698 / 746358Ignacio SantosNovember 30, 2010 05:46:59 UTC 2010 年 11 月 30 日 (火) 14 時 46 分 59 秒 (日本時間)
40Rich DickersonMarch 7, 2011 21:51:21 UTC 2011 年 3 月 8 日 (火) 6 時 51 分 21 秒 (日本時間)

77×10171+319

c131

name 名前Sinkiti Sibata
date 日付April 6, 2011 22:37:46 UTC 2011 年 4 月 7 日 (木) 7 時 37 分 46 秒 (日本時間)
composite number 合成数
19445443217347269770036714666386419550578030026989234789759809546882270426165320681182753830901292281810650374506495271716779824269<131>
prime factors 素因数
165672675199094758337452660652741534688266681<45>
117372663862516782703640614451117725596008291348439526207128487279223995755088782424949<87>
factorization results 素因数分解の結果
Number: 85559_171
N=19445443217347269770036714666386419550578030026989234789759809546882270426165320681182753830901292281810650374506495271716779824269
  ( 131 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=165672675199094758337452660652741534688266681 (pp45)
 r2=117372663862516782703640614451117725596008291348439526207128487279223995755088782424949 (pp87)
Version: Msieve v. 1.42
Total time: 4.52 hours.
Scaled time: 3.86 units (timescale=0.853).
Factorization parameters were as follows:
name: 85559_171
n: 19445443217347269770036714666386419550578030026989234789759809546882270426165320681182753830901292281810650374506495271716779824269
m: 10000000000000000000000000000000000
deg: 5
c5: 770
c0: 31
skew: 0.53
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2650000, 6050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1045927 x 1046155
Total sieving time: 0.00 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 4.09 hours.
Time per square root: 0.32 hours.
Prototype def-par.txt line would be:
snfs,172.000,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
total time: 4.52 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
Memory: 3886124k/4718592k available (3786k kernel code, 656964k absent, 175504k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5827.08 BogoMIPS (lpj=2913541)
Calibrating delay using timer specific routine.. 5826.53 BogoMIPS (lpj=2913268)
Total of 2 processors activated (11653.61 BogoMIPS).

Total time: 44 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 2, 2010 13:00:00 UTC 2010 年 11 月 2 日 (火) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 2, 2010 18:22:53 UTC 2010 年 11 月 3 日 (水) 3 時 22 分 53 秒 (日本時間)
403e6860110Ignacio SantosNovember 2, 2010 18:22:53 UTC 2010 年 11 月 3 日 (水) 3 時 22 分 53 秒 (日本時間)
750Ignacio SantosNovember 27, 2010 20:50:52 UTC 2010 年 11 月 28 日 (日) 5 時 50 分 52 秒 (日本時間)
4511e6246 / 406832Ignacio SantosNovember 2, 2010 18:22:53 UTC 2010 年 11 月 3 日 (水) 3 時 22 分 53 秒 (日本時間)
214Ignacio SantosNovember 27, 2010 20:50:52 UTC 2010 年 11 月 28 日 (日) 5 時 50 分 52 秒 (日本時間)
5043e658 / 7463Ignacio SantosNovember 27, 2010 20:50:52 UTC 2010 年 11 月 28 日 (日) 5 時 50 分 52 秒 (日本時間)

77×10173+319

c170

name 名前Dmitry Domanov
date 日付November 6, 2010 15:22:30 UTC 2010 年 11 月 7 日 (日) 0 時 22 分 30 秒 (日本時間)
composite number 合成数
10871514232506392309180217232620754991366323437431611821995191119808322497116224958455284897207715104204169861056400568707264006957769108804091077875339028877283194474447<170>
prime factors 素因数
30919425766826086804706181682211580968351704133742897704954788327308408659276381<80>
351607895776984387674683571538681517478676875103073150929065858589089987499091521884815387<90>
factorization results 素因数分解の結果
N=10871514232506392309180217232620754991366323437431611821995191119808322497116224958455284897207715104204169861056400568707264006957769108804091077875339028877283194474447
  ( 170 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=30919425766826086804706181682211580968351704133742897704954788327308408659276381 (pp80)
 r2=351607895776984387674683571538681517478676875103073150929065858589089987499091521884815387 (pp90)
Version: Msieve-1.40
Total time: 115.89 hours.
Scaled time: 214.97 units (timescale=1.855).
Factorization parameters were as follows:
n: 10871514232506392309180217232620754991366323437431611821995191119808322497116224958455284897207715104204169861056400568707264006957769108804091077875339028877283194474447
m: 10000000000000000000000000000000000
deg: 5
c5: 77000
c0: 31
skew: 0.21
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2900000, 9200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1279530 x 1279757
Total sieving time: 113.60 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 2.00 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
snfs,174.000,5,0,0,0,0,0,0,0,0,5800000,5800000,27,27,52,52,2.4,2.4,100000
total time: 115.89 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 2, 2010 13:00:00 UTC 2010 年 11 月 2 日 (火) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 2, 2010 23:53:33 UTC 2010 年 11 月 3 日 (水) 8 時 53 分 33 秒 (日本時間)
403e6110 / 2126Ignacio SantosNovember 2, 2010 23:53:33 UTC 2010 年 11 月 3 日 (水) 8 時 53 分 33 秒 (日本時間)
4511e632 / 4437Ignacio SantosNovember 2, 2010 23:53:33 UTC 2010 年 11 月 3 日 (水) 8 時 53 分 33 秒 (日本時間)

77×10174+319

c171

name 名前Serge Batalov
date 日付November 2, 2010 19:43:49 UTC 2010 年 11 月 3 日 (水) 4 時 43 分 49 秒 (日本時間)
composite number 合成数
306947782999876423619831218582698509509401770729937773313082752325029797852960052938526730368297476251410165951119562140980718098358825944661699693450850484539000306947783<171>
prime factors 素因数
2036725183651878399751555409<28>
52817516392138277978600648009<29>
2853343726030164188725365333735044158309534699889457617288142817934414775859752858131967866558539484752428182648543<115>
factorization results 素因数分解の結果
Using B1=1500000, B2=2140044280, polynomial Dickson(6), sigma=3393163630
Step 1 took 3896ms
********** Factor found in step 1: 52817516392138277978600648009
Found probable prime factor of 29 digits: 52817516392138277978600648009
Composite cofactor has 142 digits

Input number is 
306947782999876423619831218582698509509401770729937773313082752325029797852960052938526730368297476251410165951119562140980718098358825944661699693450850484539000306947783
 (171 digits)
Using B1=1500000, B2=2140044280, polynomial Dickson(6), sigma=589279890
Step 1 took 3850ms
Step 2 took 2285ms
********** Factor found in step 2: 2036725183651878399751555409
Found probable prime factor of 28 digits: 2036725183651878399751555409
Composite cofactor 
150706529022003108727141657399796858925918860050761557452742999719528341475052702452173228855675479054708324215727281900568143056509389699700887
 has 144 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 2, 2010 13:00:00 UTC 2010 年 11 月 2 日 (火) 22 時 0 分 0 秒 (日本時間)

77×10177+319

c143

name 名前Rich Dickerson
date 日付March 5, 2011 22:32:31 UTC 2011 年 3 月 6 日 (日) 7 時 32 分 31 秒 (日本時間)
composite number 合成数
14912937618567925129621745136592860300492697344542058002907246871821403739259758857011086322071190603727456448345650374852976176020547430344781<143>
prime factors 素因数
10536948644953442764795825381420752933559555583<47>
composite cofactor 合成数の残り
1415299449685589462126973859481081576933809612606670294462169141537639185314915112062970964457907<97>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=474645370
Step 1 took 40197ms
Step 2 took 15395ms
********** Factor found in step 2: 10536948644953442764795825381420752933559555583
Found probable prime factor of 47 digits: 10536948644953442764795825381420752933559555583
Composite cofactor 1415299449685589462126973859481081576933809612606670294462169141537639185314915112062970964457907 has 97 digits
software ソフトウェア
GMP-ECM 6.3 [config GMP 5.0.1] [ECM]
execution environment 実行環境
C2D, 3 GHz, Mac OS X

c97

name 名前Dmitry Domanov
date 日付March 6, 2011 18:19:34 UTC 2011 年 3 月 7 日 (月) 3 時 19 分 34 秒 (日本時間)
composite number 合成数
1415299449685589462126973859481081576933809612606670294462169141537639185314915112062970964457907<97>
prime factors 素因数
183228653576574908796049038260466853741<39>
7724225562210484694636449900284384876075521399896245440927<58>
factorization results 素因数分解の結果
N=1415299449685589462126973859481081576933809612606670294462169141537639185314915112062970964457907
  ( 97 digits)
Divisors found:
 r1=183228653576574908796049038260466853741 (pp39)
 r2=7724225562210484694636449900284384876075521399896245440927 (pp58)
Version: Msieve v. 1.47
Total time: 0.34 hours.
Scaled time: 0.54 units (timescale=1.569).
Factorization parameters were as follows:
name: 97
n:  1415299449685589462126973859481081576933809612606670294462169141537639185314915112062970964457907
m:  17269655566487107926950
deg: 4
c4: 15911592
c3: 29318482918
c2: -371449013781080519
c1: 173692971973122394
c0: 174778352701864087107
skew: 1635.250
type: gnfs
# adj. I(F,S) = 54.595
# E(F1,F2) = 2.608958e-05
# GGNFS version 0.77.1-20060513-nocona polyselect.
# Options were:
# lcd=1, enumLCD=24, maxS1=60.00000000, seed=1299427466.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 1200000
alim: 1200000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.4
alambda: 2.4
qintsize: 60000

type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [600000, 1980001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 157464 x 157689
Polynomial selection time: 0.17 hours.
Total sieving time: 0.00 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
gnfs,96,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 0.34 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 2, 2010 13:00:00 UTC 2010 年 11 月 2 日 (火) 22 時 0 分 0 秒 (日本時間)
403e690 / 1628Rich DickersonMarch 5, 2011 22:30:48 UTC 2011 年 3 月 6 日 (日) 7 時 30 分 48 秒 (日本時間)
4511e6200 / 4455Rich DickersonMarch 5, 2011 22:30:48 UTC 2011 年 3 月 6 日 (日) 7 時 30 分 48 秒 (日本時間)

77×10180+319

c177

name 名前Ignacio Santos
date 日付November 3, 2010 06:05:21 UTC 2010 年 11 月 3 日 (水) 15 時 5 分 21 秒 (日本時間)
composite number 合成数
191824298907099741161757708471907705108754412581681028576838087835599102162632128327964744188595671746273750713113059248796115682508364286799747888064293526054473118440294064159<177>
prime factors 素因数
954416575804757699715837865624371023<36>
composite cofactor 合成数の残り
200985925611523217722166843008200384282456646444341213997032403611885175978576961085882086536220520430380210852604963745366778372558245174833<141>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=435150358
Step 1 took 9095ms
Step 2 took 6536ms
********** Factor found in step 2: 954416575804757699715837865624371023
Found probable prime factor of 36 digits: 954416575804757699715837865624371023
Composite cofactor 200985925611523217722166843008200384282456646444341213997032403611885175978576961085882086536220520430380210852604963745366778372558245174833 has 141 digits
software ソフトウェア
GMP-ECM 6.3

c141

name 名前Serge Batalov
date 日付October 30, 2013 01:12:20 UTC 2013 年 10 月 30 日 (水) 10 時 12 分 20 秒 (日本時間)
composite number 合成数
200985925611523217722166843008200384282456646444341213997032403611885175978576961085882086536220520430380210852604963745366778372558245174833<141>
prime factors 素因数
532121139510337803143644898917979039351563<42>
377707087142736144218389405886530188749219580458564881014953843194341619117703429022240376056490291<99>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3001683826
Step 1 took 142187ms
Step 2 took 47483ms
********** Factor found in step 2: 532121139510337803143644898917979039351563
Found probable prime factor of 42 digits: 532121139510337803143644898917979039351563
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 2, 2010 13:00:00 UTC 2010 年 11 月 2 日 (火) 22 時 0 分 0 秒 (日本時間)
403e690Rich DickersonMarch 5, 2011 22:33:41 UTC 2011 年 3 月 6 日 (日) 7 時 33 分 41 秒 (日本時間)
4511e6700 / 4455Rich DickersonMarch 6, 2011 04:16:11 UTC 2011 年 3 月 6 日 (日) 13 時 16 分 11 秒 (日本時間)

77×10181+319

c140

name 名前Ignacio Santos
date 日付October 1, 2013 18:59:45 UTC 2013 年 10 月 2 日 (水) 3 時 59 分 45 秒 (日本時間)
composite number 合成数
12098800494106197231932670695789702224403217996369005571429533160759463303953850856987304708018572613932017463727618407752955488633839757741<140>
prime factors 素因数
81738861108549613469287505918172113333077<41>
148017727798273701083599000296328959894740277961786819274708586910076764717001686894961182498960633<99>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:633844685
Step 1 took 27453ms
********** Factor found in step 1: 81738861108549613469287505918172113333077
Found probable prime factor of 41 digits: 81738861108549613469287505918172113333077
Probable prime cofactor 148017727798273701083599000296328959894740277961786819274708586910076764717001686894961182498960633 has 99 digits
software ソフトウェア
GMP-ECM 7.0

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 2, 2010 13:00:00 UTC 2010 年 11 月 2 日 (火) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosMarch 22, 2011 16:36:32 UTC 2011 年 3 月 23 日 (水) 1 時 36 分 32 秒 (日本時間)
403e6110 / 2126Ignacio SantosMarch 22, 2011 16:36:32 UTC 2011 年 3 月 23 日 (水) 1 時 36 分 32 秒 (日本時間)
4511e632 / 4437Ignacio SantosMarch 22, 2011 16:36:32 UTC 2011 年 3 月 23 日 (水) 1 時 36 分 32 秒 (日本時間)

77×10182+319

c120

name 名前Markus Tervooren
date 日付November 5, 2010 14:42:26 UTC 2010 年 11 月 5 日 (金) 23 時 42 分 26 秒 (日本時間)
composite number 合成数
139360219228964919393729708716135834208704956103759715681320019559171631123974302253687368735060108944673649369404108989<120>
prime factors 素因数
8492302343332345371256580217549631303535145004965503080963<58>
16410181078677955833908158757578278040352218778464951707184703<62>
factorization results 素因数分解の結果
Msieve v. 1.47
Fri Nov  5 12:02:35 2010
random seeds: 68bd8000 f16d5678
factoring 139360219228964919393729708716135834208704956103759715681320019559171631123974302253687368735060108944673649369404108989 (120 digits)
no P-1/P+1/ECM available, skipping
commencing number field sieve (120-digit input)
R0: -129816237554293225899045
R1:  5275173846127
A0:  2513600731583345307949330701152
A1:  121910528698437719341346740
A2:  529484766732163282076
A3: -2443520141660175
A4:  413832492
A5:  3780
skew 388607.29, size 2.091e-11, alpha -7.821, combined = 3.230e-10 rroots = 3

commencing relation filtering
estimated available RAM is 8003.8 MB
commencing duplicate removal, pass 1
error -11 reading relation 170825
found 1049939 hash collisions in 4912536 relations
added 13191 free relations
commencing duplicate removal, pass 2
found 1019956 duplicates and 3905771 unique relations
memory use: 22.6 MB
reading ideals above 100000
commencing singleton removal, initial pass
memory use: 86.1 MB
reading all ideals from disk
memory use: 134.6 MB
keeping 2908471 ideals with weight <= 200, target excess is 23559
commencing in-memory singleton removal
begin with 3905771 relations and 2908471 unique ideals
reduce to 3347499 relations and 2324287 ideals in 7 passes
max relations containing the same ideal: 184
removing 932823 relations and 532823 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 2414676 relations and 2324287 unique ideals
reduce to 2331664 relations and 1700754 ideals in 6 passes
max relations containing the same ideal: 139
removing 531339 relations and 290013 ideals in 241326 cliques
commencing in-memory singleton removal
begin with 1800325 relations and 1700754 unique ideals
reduce to 1760265 relations and 1368067 ideals in 5 passes
max relations containing the same ideal: 114
removing 341792 relations and 185768 ideals in 156024 cliques
commencing in-memory singleton removal
begin with 1418473 relations and 1368067 unique ideals
reduce to 1390427 relations and 1152584 ideals in 5 passes
max relations containing the same ideal: 103
removing 267433 relations and 145413 ideals in 122020 cliques
commencing in-memory singleton removal
begin with 1122994 relations and 1152584 unique ideals
reduce to 1098295 relations and 980949 ideals in 6 passes
max relations containing the same ideal: 85
removing 202169 relations and 112152 ideals in 90017 cliques
commencing in-memory singleton removal
begin with 896126 relations and 980949 unique ideals
reduce to 870144 relations and 841171 ideals in 6 passes
max relations containing the same ideal: 72
relations with 0 large ideals: 84
relations with 1 large ideals: 138
relations with 2 large ideals: 1913
relations with 3 large ideals: 14286
relations with 4 large ideals: 57243
relations with 5 large ideals: 141490
relations with 6 large ideals: 226428
relations with 7+ large ideals: 428562
commencing 2-way merge
reduce to 741646 relation sets and 712673 unique ideals
commencing full merge
memory use: 80.7 MB
found 353735 cycles, need 348873
weight of 348873 cycles is about 24586152 (70.47/cycle)
distribution of cycle lengths:
1 relations: 23336
2 relations: 38668
3 relations: 46301
4 relations: 44273
5 relations: 39794
6 relations: 34114
7 relations: 28049
8 relations: 22634
9 relations: 17749
10+ relations: 53955
heaviest cycle: 21 relations
commencing cycle optimization
start with 2023827 relations
pruned 108934 relations
memory use: 57.1 MB
distribution of cycle lengths:
1 relations: 23336
2 relations: 40132
3 relations: 49522
4 relations: 46956
5 relations: 42413
6 relations: 35365
7 relations: 28833
8 relations: 22090
9 relations: 16959
10+ relations: 43267
heaviest cycle: 20 relations
RelProcTime: 175

commencing linear algebra
read 348873 cycles
cycles contain 852575 unique relations
read 852575 relations
using 20 quadratic characters above 25165304
building initial matrix
memory use: 118.6 MB
read 348873 cycles
matrix is 348695 x 348873 (103.0 MB) with weight 32603085 (93.45/col)
sparse part has weight 22823617 (65.42/col)
filtering completed in 2 passes
matrix is 348555 x 348733 (103.0 MB) with weight 32595963 (93.47/col)
sparse part has weight 22820646 (65.44/col)
matrix starts at (0, 0)
matrix is 348555 x 348733 (103.0 MB) with weight 32595963 (93.47/col)
sparse part has weight 22820646 (65.44/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 348507 x 348733 (99.0 MB) with weight 25819155 (74.04/col)
sparse part has weight 22455684 (64.39/col)
using block size 65536 for processor cache size 4096 kB
commencing Lanczos iteration (2 threads)
memory use: 77.5 MB
linear algebra at 3.5%, ETA 0h 8m 348733 dimensions (3.5%, ETA 0h 8m)    
linear algebra completed 347980 of 348733 dimensions (99.8%, ETA 0h 0m)    
lanczos halted after 5514 iterations (dim = 348507)
recovered 28 nontrivial dependencies
BLanczosTime: 656

commencing square root phase
reading relations for dependency 1
read 173836 cycles
cycles contain 424952 unique relations
read 424952 relations
multiplying 424952 relations
multiply complete, coefficients have about 18.22 million bits
initial square root is modulo 171653
reading relations for dependency 2
read 174436 cycles
cycles contain 426226 unique relations
read 426226 relations
multiplying 426226 relations
multiply complete, coefficients have about 18.28 million bits
initial square root is modulo 178091
reading relations for dependency 3
read 174535 cycles
cycles contain 426140 unique relations
read 426140 relations
multiplying 426140 relations
multiply complete, coefficients have about 18.27 million bits
initial square root is modulo 177601
sqrtTime: 409
prp58 factor: 8492302343332345371256580217549631303535145004965503080963
prp62 factor: 16410181078677955833908158757578278040352218778464951707184703
elapsed time 00:20:41

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 2, 2010 13:00:00 UTC 2010 年 11 月 2 日 (火) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 2, 2010 17:29:49 UTC 2010 年 11 月 3 日 (水) 2 時 29 分 49 秒 (日本時間)
403e6110 / 2126Ignacio SantosNovember 2, 2010 17:29:49 UTC 2010 年 11 月 3 日 (水) 2 時 29 分 49 秒 (日本時間)
4511e632 / 4437Ignacio SantosNovember 2, 2010 17:29:49 UTC 2010 年 11 月 3 日 (水) 2 時 29 分 49 秒 (日本時間)

77×10183+319

c173

name 名前Serge Batalov
date 日付November 2, 2010 22:56:29 UTC 2010 年 11 月 3 日 (水) 7 時 56 分 29 秒 (日本時間)
composite number 合成数
20324469200495086198233524402636991945908106935980421702999253292954981802036606013264340629858755456106240351471995865689205494039751655628333754868023128496274990185904889<173>
prime factors 素因数
213341294754791595553420975159973099<36>
95267394077904382720935155571282024164516942905720385922010020354389163327168765495156834121797672019481422995108002312470337219687319211<137>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3650769154
Step 1 took 7725ms
Step 2 took 3997ms
********** Factor found in step 2: 213341294754791595553420975159973099
Found probable prime factor of 36 digits: 213341294754791595553420975159973099
Probable prime cofactor has 137 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 2, 2010 13:00:00 UTC 2010 年 11 月 2 日 (火) 22 時 0 分 0 秒 (日本時間)

77×10184+319

c133

name 名前Rich Dickerson
date 日付March 6, 2011 04:14:51 UTC 2011 年 3 月 6 日 (日) 13 時 14 分 51 秒 (日本時間)
composite number 合成数
1223802782066616503218559347314509275793874273097472131729577067274511722352044394950112865523441375397952605945254225479438290498747<133>
prime factors 素因数
912238591265433285490095674154082600316399<42>
1341538051321628039573124164790653298307667942686694494765095081886257684869832011864830453<91>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1431326451
Step 1 took 33468ms
Step 2 took 14162ms
********** Factor found in step 2: 912238591265433285490095674154082600316399
Found probable prime factor of 42 digits: 912238591265433285490095674154082600316399
Probable prime cofactor 1341538051321628039573124164790653298307667942686694494765095081886257684869832011864830453 has 91 digits
software ソフトウェア
GMP-ECM 6.3 [config GMP 5.0.1] [ECM]
execution environment 実行環境
C2D, 3 GHz, Mac OS X

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 652Makoto KamadaNovember 2, 2010 13:00:00 UTC 2010 年 11 月 2 日 (火) 22 時 0 分 0 秒 (日本時間)
403e690 / 2318Rich DickersonMarch 6, 2011 04:13:56 UTC 2011 年 3 月 6 日 (日) 13 時 13 分 56 秒 (日本時間)

77×10186+319

c187

name 名前Serge Batalov
date 日付November 3, 2010 06:07:17 UTC 2010 年 11 月 3 日 (水) 15 時 7 分 17 秒 (日本時間)
composite number 合成数
2851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851853<187>
prime factors 素因数
1605000753860450253624974089063666088572434023<46>
composite cofactor 合成数の残り
1776853901776927989648967700473944776616530316029037618785889250224743311260702845230705057742898861294234086451946874977750021151025179751211<142>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2100618124
Step 1 took 9324ms
Step 2 took 4358ms
********** Factor found in step 2: 1605000753860450253624974089063666088572434023
Found probable prime factor of 46 digits: 1605000753860450253624974089063666088572434023
Composite cofactor 1776853901776927989648967700473944776616530316029037618785889250224743311260702845230705057742898861294234086451946874977750021151025179751211 has 142 digits

c142

name 名前jafarism
date 日付May 14, 2017 03:32:40 UTC 2017 年 5 月 14 日 (日) 12 時 32 分 40 秒 (日本時間)
composite number 合成数
1776853901776927989648967700473944776616530316029037618785889250224743311260702845230705057742898861294234086451946874977750021151025179751211<142>
prime factors 素因数
12229529681205574985400532193605195518773297605975127<53>
145292087929400035837246392987912144131822763027182553967369258939973947032089563748457293<90>
factorization results 素因数分解の結果
Number: 85559_186
N=1776853901776927989648967700473944776616530316029037618785889250224743311260702845230705057742898861294234086451946874977750021151025179751211
  ( 142 digits)
SNFS difficulty: 187 digits.
Divisors found:
Version: Msieve v. 1.53 (SVN 1005)
Total time: 210.42 hours.
Scaled time: 774.13 units (timescale=3.679).
Factorization parameters were as follows:
n: 1776853901776927989648967700473944776616530316029037618785889250224743311260702845230705057742898861294234086451946874977750021151025179751211
m: 10000000000000000000000000000000000000
deg: 5
c5: 770
c0: 31
skew: 0.53
# Murphy_E = 4.602e-11
type: snfs
lss: 1
rlim: 9500000
alim: 9500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9500000/9500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4750000, 14550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2110676 x 2110924
Total sieving time: 205.11 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 4.59 hours.
Time per square root: 0.55 hours.
Prototype def-par.txt line would be:
snfs,187.000,5,0,0,0,0,0,0,0,0,9500000,9500000,28,28,54,54,2.5,2.5,100000
total time: 210.42 hours.
Sun May 14 09:45:57 2017  Msieve v. 1.53 (SVN 1005)
Sun May 14 09:45:57 2017  random seeds: cbf97a00 3b7e46d7
Sun May 14 09:45:57 2017  factoring 1776853901776927989648967700473944776616530316029037618785889250224743311260702845230705057742898861294234086451946874977750021151025179751211 (142 digits)
Sun May 14 09:45:58 2017  searching for 15-digit factors
Sun May 14 09:45:58 2017  commencing number field sieve (142-digit input)
Sun May 14 09:45:58 2017  R0: -10000000000000000000000000000000000000
Sun May 14 09:45:58 2017  R1: 1
Sun May 14 09:45:58 2017  A0: 31
Sun May 14 09:45:58 2017  A1: 0
Sun May 14 09:45:58 2017  A2: 0
Sun May 14 09:45:58 2017  A3: 0
Sun May 14 09:45:58 2017  A4: 0
Sun May 14 09:45:58 2017  A5: 770
Sun May 14 09:45:58 2017  skew 0.53, size 3.084e-013, alpha 0.232, combined = 4.096e-011 rroots = 1
Sun May 14 09:45:58 2017  
Sun May 14 09:45:58 2017  commencing square root phase
Sun May 14 09:45:59 2017  reading relations for dependency 1
Sun May 14 09:45:59 2017  read 1055320 cycles
Sun May 14 09:46:01 2017  cycles contain 3506686 unique relations
Sun May 14 09:46:40 2017  read 3506686 relations
Sun May 14 09:46:56 2017  multiplying 3506686 relations
Sun May 14 09:49:30 2017  multiply complete, coefficients have about 111.05 million bits
Sun May 14 09:49:31 2017  initial square root is modulo 93565561
Sun May 14 09:52:39 2017  GCD is 1, no factor found
Sun May 14 09:52:39 2017  reading relations for dependency 2
Sun May 14 09:52:40 2017  read 1056198 cycles
Sun May 14 09:52:42 2017  cycles contain 3506828 unique relations
Sun May 14 09:53:13 2017  read 3506828 relations
Sun May 14 09:53:27 2017  multiplying 3506828 relations
Sun May 14 09:56:01 2017  multiply complete, coefficients have about 111.06 million bits
Sun May 14 09:56:02 2017  initial square root is modulo 93668551
Sun May 14 09:59:09 2017  GCD is 1, no factor found
Sun May 14 09:59:09 2017  reading relations for dependency 3
Sun May 14 09:59:11 2017  read 1055380 cycles
Sun May 14 09:59:13 2017  cycles contain 3505146 unique relations
Sun May 14 09:59:52 2017  read 3505146 relations
Sun May 14 10:00:07 2017  multiplying 3505146 relations
Sun May 14 10:02:41 2017  multiply complete, coefficients have about 111.00 million bits
Sun May 14 10:02:42 2017  initial square root is modulo 92815621
Sun May 14 10:05:49 2017  GCD is N, no factor found
Sun May 14 10:05:49 2017  reading relations for dependency 4
Sun May 14 10:05:52 2017  read 1055583 cycles
Sun May 14 10:05:54 2017  cycles contain 3507654 unique relations
Sun May 14 10:06:28 2017  read 3507654 relations
Sun May 14 10:06:42 2017  multiplying 3507654 relations
Sun May 14 10:09:16 2017  multiply complete, coefficients have about 111.09 million bits
Sun May 14 10:09:16 2017  initial square root is modulo 94099861
Sun May 14 10:12:24 2017  GCD is 1, no factor found
Sun May 14 10:12:24 2017  reading relations for dependency 5
Sun May 14 10:12:27 2017  read 1056088 cycles
Sun May 14 10:12:29 2017  cycles contain 3506516 unique relations
Sun May 14 10:13:02 2017  read 3506516 relations
Sun May 14 10:13:16 2017  multiplying 3506516 relations
Sun May 14 10:15:50 2017  multiply complete, coefficients have about 111.05 million bits
Sun May 14 10:15:50 2017  initial square root is modulo 93513131
Sun May 14 10:18:58 2017  sqrtTime: 1980
Sun May 14 10:18:58 2017  p53 factor: 12229529681205574985400532193605195518773297605975127
Sun May 14 10:18:58 2017  p90 factor: 145292087929400035837246392987912144131822763027182553967369258939973947032089563748457293
software ソフトウェア
ggnfs+msieve
execution environment 実行環境
Windows 10 Creator's Edition on Core i5

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 2, 2010 13:00:00 UTC 2010 年 11 月 2 日 (火) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 3, 2010 06:06:09 UTC 2010 年 11 月 3 日 (水) 15 時 6 分 9 秒 (日本時間)
403e6110Ignacio SantosNovember 3, 2010 06:06:09 UTC 2010 年 11 月 3 日 (水) 15 時 6 分 9 秒 (日本時間)
4511e6932 / 443732Ignacio SantosNovember 3, 2010 06:06:09 UTC 2010 年 11 月 3 日 (水) 15 時 6 分 9 秒 (日本時間)
600Rich DickersonMarch 6, 2011 17:37:47 UTC 2011 年 3 月 7 日 (月) 2 時 37 分 47 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:33 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 33 秒 (日本時間)

77×10188+319

c179

name 名前Rich Dickerson
date 日付March 6, 2011 16:46:11 UTC 2011 年 3 月 7 日 (月) 1 時 46 分 11 秒 (日本時間)
composite number 合成数
47732444321536896563058019795824792135541688485394005102646538736152710140130071694456137540367380311968929388201847435561693251373559230598279385057259109684751885595541092290923<179>
prime factors 素因数
31304236336830657903646584381982351318358169737<47>
1524791846315631398972583853937319326841912458445220407491356383331386753480256630331988276713214131080831984943081964624351906084179<133>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1674889367
Step 1 took 57664ms
Step 2 took 19272ms
********** Factor found in step 2: 31304236336830657903646584381982351318358169737
Found probable prime factor of 47 digits: 31304236336830657903646584381982351318358169737
Probable prime cofactor 1524791846315631398972583853937319326841912458445220407491356383331386753480256630331988276713214131080831984943081964624351906084179 has 133 digits
software ソフトウェア
GMP-ECM 6.3 [config GMP 5.0.1] [ECM]
execution environment 実行環境
C2D, 3 GHz, Mac OS X

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 2, 2010 13:00:00 UTC 2010 年 11 月 2 日 (火) 22 時 0 分 0 秒 (日本時間)

77×10189+319

c148

composite cofactor 合成数の残り
2783132973947717552933092038682476849878674975323287504598360919202602457659530088829959014279373262362832929725085974899928057615884200623933636451<148>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 2, 2010 13:00:00 UTC 2010 年 11 月 2 日 (火) 22 時 0 分 0 秒 (日本時間)
403e690Rich DickersonMarch 6, 2011 17:13:50 UTC 2011 年 3 月 7 日 (月) 2 時 13 分 50 秒 (日本時間)
4511e61000 / 4455700Rich DickersonMarch 6, 2011 20:55:25 UTC 2011 年 3 月 7 日 (月) 5 時 55 分 25 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:34 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 34 秒 (日本時間)

77×10190+319

c189

name 名前Serge Batalov
date 日付November 3, 2010 04:40:23 UTC 2010 年 11 月 3 日 (水) 13 時 40 分 23 秒 (日本時間)
composite number 合成数
242367012905256531318854265029902423670129052565313188542650299024236701290525653131885426502990242367012905256531318854265029902423670129052565313188542650299024236701290525653131885426503<189>
prime factors 素因数
14883760382105712178845440711323143740299<41>
composite cofactor 合成数の残り
16283990516042366853061376701524494781443198449685612453671645090452181400055490954926668035953642556797003292706827660594752177952623224362747132597<149>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4204271888
Step 1 took 9154ms
Step 2 took 4376ms
********** Factor found in step 2: 14883760382105712178845440711323143740299
Found probable prime factor of 41 digits: 14883760382105712178845440711323143740299
Composite cofactor has 149 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 2, 2010 13:00:00 UTC 2010 年 11 月 2 日 (火) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosMarch 22, 2011 16:48:52 UTC 2011 年 3 月 23 日 (水) 1 時 48 分 52 秒 (日本時間)
403e61910110Ignacio SantosMarch 22, 2011 16:48:52 UTC 2011 年 3 月 23 日 (水) 1 時 48 分 52 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:08:08 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 8 秒 (日本時間)
1500Dmitry DomanovFebruary 13, 2014 09:16:25 UTC 2014 年 2 月 13 日 (木) 18 時 16 分 25 秒 (日本時間)
4511e61132 / 403932Ignacio SantosMarch 22, 2011 16:48:52 UTC 2011 年 3 月 23 日 (水) 1 時 48 分 52 秒 (日本時間)
800Dmitry DomanovFebruary 17, 2014 10:40:12 UTC 2014 年 2 月 17 日 (月) 19 時 40 分 12 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:34 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 34 秒 (日本時間)

77×10191+319

c170

name 名前matsui
date 日付April 11, 2011 11:19:02 UTC 2011 年 4 月 11 日 (月) 20 時 19 分 2 秒 (日本時間)
composite number 合成数
95201563748474697655596832162338530557133710577330152979314944953413269145268380626570666485232264951426321764657211463366853735615003240632680880613043882180459600640003<170>
prime factors 素因数
155469293975860028443854852028190748725647481<45>
49554890396814390687788739858586053820602230626109<50>
12356996844230826861214602793598526409067569574704714476738551956893573030007<77>
factorization results 素因数分解の結果
N=95201563748474697655596832162338530557133710577330152979314944953413269145268380626570666485232264951426321764657211463366853735615003240632680880613043882180459600640003
  ( 170 digits)
SNFS difficulty: 192 digits.
Divisors found:
 r1=155469293975860028443854852028190748725647481 (pp45)
 r2=49554890396814390687788739858586053820602230626109 (pp50)
 r3=12356996844230826861214602793598526409067569574704714476738551956893573030007 (pp77)
Version: Msieve v. 1.49
Total time:
Scaled time: 34.00 units (timescale=0.573).
Factorization parameters were as follows:
n: 95201563748474697655596832162338530557133710577330152979314944953413269145268380626570666485232264951426321764657211463366853735615003240632680880613043882180459600640003
m: 100000000000000000000000000000000000000
deg: 5
c5: 770
c0: 31
skew: 0.53
type: snfs
lss: 1
rlim: 11500000
alim: 11500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 11500000/11500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5750000, 20470001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2565326 x 2565464
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,192.000,5,0,0,0,0,0,0,0,0,11500000,11500000,28,28,55,55,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 2, 2010 13:00:00 UTC 2010 年 11 月 2 日 (火) 22 時 0 分 0 秒 (日本時間)
403e690Rich DickersonMarch 6, 2011 20:45:19 UTC 2011 年 3 月 7 日 (月) 5 時 45 分 19 秒 (日本時間)
4511e6700 / 4455Rich DickersonMarch 7, 2011 05:54:01 UTC 2011 年 3 月 7 日 (月) 14 時 54 分 1 秒 (日本時間)

77×10193+319

c185

name 名前Serge Batalov
date 日付November 3, 2010 06:19:14 UTC 2010 年 11 月 3 日 (水) 15 時 19 分 14 秒 (日本時間)
composite number 合成数
92258079274870801603064547690242896401345187448372521118911051252895083838709402658793566347280470873245464948585577074653099398652960943958000961096983242030766192884873823988525004321<185>
prime factors 素因数
4229262700232572984184428281195913<34>
composite cofactor 合成数の残り
21814222906937751273746537650145691112210392132380856063360211466548887141997121686431744868945691992725248917956416600126935810681070028103615988102617<152>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3469208811
Step 1 took 9044ms
Step 2 took 4385ms
********** Factor found in step 2: 4229262700232572984184428281195913
Found probable prime factor of 34 digits: 4229262700232572984184428281195913
Composite cofactor 21814222906937751273746537650145691112210392132380856063360211466548887141997121686431744868945691992725248917956416600126935810681070028103615988102617 has 152 digits

c152

name 名前Serge Batalov
date 日付October 30, 2013 05:14:51 UTC 2013 年 10 月 30 日 (水) 14 時 14 分 51 秒 (日本時間)
composite number 合成数
21814222906937751273746537650145691112210392132380856063360211466548887141997121686431744868945691992725248917956416600126935810681070028103615988102617<152>
prime factors 素因数
159322402595962947537614029313824374245144347471493<51>
136918741818487360782190784184403842117084292829200975890670963445405654193757898600474499093741747269<102>
factorization results 素因数分解の結果
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1651814435
Step 1 took 387158ms
Step 2 took 105871ms
********** Factor found in step 2: 159322402595962947537614029313824374245144347471493
Found probable prime factor of 51 digits: 159322402595962947537614029313824374245144347471493
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 2, 2010 13:00:00 UTC 2010 年 11 月 2 日 (火) 22 時 0 分 0 秒 (日本時間)
403e60--
4511e6700 / 4475Rich DickersonMarch 7, 2011 13:44:41 UTC 2011 年 3 月 7 日 (月) 22 時 44 分 41 秒 (日本時間)

77×10194+319

c158

name 名前Serge Batalov
date 日付November 3, 2010 06:07:42 UTC 2010 年 11 月 3 日 (水) 15 時 7 分 42 秒 (日本時間)
composite number 合成数
16373290125878375979224669689743959067932066312912253042151053765052404436284699888315138342019053723162432266496124928520951279218186794377691733591678942389<158>
prime factors 素因数
9800757841678794404160181157042278417<37>
1670614700451955801878907460385133124521092043624391847717167310391513414493593713822653032929329178842352996969458402917<121>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1900358251
Step 1 took 7736ms
Step 2 took 3812ms
********** Factor found in step 2: 9800757841678794404160181157042278417
Found probable prime factor of 37 digits: 9800757841678794404160181157042278417
Probable prime cofactor 1670614700451955801878907460385133124521092043624391847717167310391513414493593713822653032929329178842352996969458402917 has 121 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 2, 2010 13:00:00 UTC 2010 年 11 月 2 日 (火) 22 時 0 分 0 秒 (日本時間)

77×10195+319

c168

name 名前Rich Dickerson
date 日付March 7, 2011 19:26:10 UTC 2011 年 3 月 8 日 (火) 4 時 26 分 10 秒 (日本時間)
composite number 合成数
146417149463277963771817764613718658279493292464679322224850958431021906051154574172323526853299369779976858483942440374976103056413437373544860373760444532167920864773<168>
prime factors 素因数
5649906683402089958653461525224289425541949<43>
25914967745115555116979701450889278317625528313333972194890147782377147060619250035279005408648817015628489085942712360950377<125>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3442718210
Step 1 took 48156ms
Step 2 took 17870ms
********** Factor found in step 2: 5649906683402089958653461525224289425541949
Found probable prime factor of 43 digits: 5649906683402089958653461525224289425541949
Probable prime cofactor 25914967745115555116979701450889278317625528313333972194890147782377147060619250035279005408648817015628489085942712360950377 has 125 digits
software ソフトウェア
GMP-ECM 6.3 [config GMP 5.0.1] [ECM]
execution environment 実行環境
C2D, 3 GHz, Mac OS X

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 652Makoto KamadaNovember 2, 2010 13:00:00 UTC 2010 年 11 月 2 日 (火) 22 時 0 分 0 秒 (日本時間)
403e690 / 2318Rich DickersonMarch 7, 2011 13:46:56 UTC 2011 年 3 月 7 日 (月) 22 時 46 分 56 秒 (日本時間)

77×10196+319

c188

name 名前Rich Dickerson
date 日付March 7, 2011 19:29:37 UTC 2011 年 3 月 8 日 (火) 4 時 29 分 37 秒 (日本時間)
composite number 合成数
55859631485794644236003271961519115855325617921087951874025095589883247661630531249156422082253060564824412762995738894335322657964193404708285055005491654317112333947652242217494334107341<188>
prime factors 素因数
5950297047724204094221336692617525843<37>
composite cofactor 合成数の残り
9387704687307862071867096302280936473368189798755611114735591210979248721142773942988139724207991076589659184038693281750476704696882717664382993813087<151>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=956437380
Step 1 took 56966ms
Step 2 took 19751ms
********** Factor found in step 2: 5950297047724204094221336692617525843
Found probable prime factor of 37 digits: 5950297047724204094221336692617525843
Composite cofactor 9387704687307862071867096302280936473368189798755611114735591210979248721142773942988139724207991076589659184038693281750476704696882717664382993813087 has 151 digits
software ソフトウェア
GMP-ECM 6.3 [config GMP 5.0.1] [ECM]
execution environment 実行環境
C2D, 3 GHz, Mac OS X

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 2, 2010 13:00:00 UTC 2010 年 11 月 2 日 (火) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosMarch 22, 2011 17:46:11 UTC 2011 年 3 月 23 日 (水) 2 時 46 分 11 秒 (日本時間)
403e6200090Rich DickersonMarch 7, 2011 19:28:19 UTC 2011 年 3 月 8 日 (火) 4 時 28 分 19 秒 (日本時間)
110Ignacio SantosMarch 22, 2011 17:46:11 UTC 2011 年 3 月 23 日 (水) 2 時 46 分 11 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:08:08 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 8 秒 (日本時間)
1500Dmitry DomanovFebruary 13, 2014 09:16:35 UTC 2014 年 2 月 13 日 (木) 18 時 16 分 35 秒 (日本時間)
4511e6382 / 401950Rich DickersonMarch 7, 2011 19:28:19 UTC 2011 年 3 月 8 日 (火) 4 時 28 分 19 秒 (日本時間)
32Ignacio SantosMarch 22, 2011 17:46:11 UTC 2011 年 3 月 23 日 (水) 2 時 46 分 11 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:34 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 34 秒 (日本時間)

77×10198+319

c196

name 名前Robert Backstrom
date 日付November 10, 2010 21:21:04 UTC 2010 年 11 月 11 日 (木) 6 時 21 分 4 秒 (日本時間)
composite number 合成数
4407808117236247066231610281069322800389260976587097143511362985860667468086324345984315072413990497452630373805026046138874577823573186788024500543820481996679832846757112599461903944129601007499<196>
prime factors 素因数
133892448435929599050849648525353997034512055739838507523783425237581140390011675314303009<90>
32920513208371699520782048440150541464719528442568984431434515637848445656896117253828407825157199626541611<107>
factorization results 素因数分解の結果
Number: n
N=4407808117236247066231610281069322800389260976587097143511362985860667468086324345984315072413990497452630373805026046138874577823573186788024500543820481996679832846757112599461903944129601007499
  ( 196 digits)
SNFS difficulty: 199 digits.
Divisors found:

Thu Nov 11 08:06:11 2010  prp90 factor: 133892448435929599050849648525353997034512055739838507523783425237581140390011675314303009
Thu Nov 11 08:06:11 2010  prp107 factor: 32920513208371699520782048440150541464719528442568984431434515637848445656896117253828407825157199626541611
Thu Nov 11 08:06:11 2010  elapsed time 09:12:15 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.093).
Factorization parameters were as follows:
name: KA_8_5_197_9
n: 4407808117236247066231610281069322800389260976587097143511362985860667468086324345984315072413990497452630373805026046138874577823573186788024500543820481996679832846757112599461903944129601007499
m: 1000000000000000000000000000000000000000
deg: 5
c5: 77000
c0: 31
skew: 0.21
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 45600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5356327 hash collisions in 32757381 relations
Msieve: matrix is 2435072 x 2435297 (688.4 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,15000000,15000000,28,28,56,56,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.88 BogoMIPS (lpj=2830444)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830451)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830462)
Total of 4 processors activated (22643.63 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 2, 2010 13:00:00 UTC 2010 年 11 月 2 日 (火) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 3, 2010 06:07:06 UTC 2010 年 11 月 3 日 (水) 15 時 7 分 6 秒 (日本時間)
403e6110 / 2126Ignacio SantosNovember 3, 2010 06:07:06 UTC 2010 年 11 月 3 日 (水) 15 時 7 分 6 秒 (日本時間)
4511e632 / 4437Ignacio SantosNovember 3, 2010 06:07:06 UTC 2010 年 11 月 3 日 (水) 15 時 7 分 6 秒 (日本時間)

77×10199+319

c168

name 名前Rich Dickerson
date 日付March 8, 2011 01:25:44 UTC 2011 年 3 月 8 日 (火) 10 時 25 分 44 秒 (日本時間)
composite number 合成数
553237077173416534145631869148615334651488457828149711346806310261278206830201085935787026778284167196710219137942779323121195661125296943024523082107513683987026396863<168>
prime factors 素因数
32517875703797303268160546668584223270240277<44>
17013321602333690955797082278374609725188529806408685670162601254205634690789149681630183716264390734433031658708782546930819<125>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=140093874
Step 1 took 48347ms
Step 2 took 17838ms
********** Factor found in step 2: 32517875703797303268160546668584223270240277
Found probable prime factor of 44 digits: 32517875703797303268160546668584223270240277
Probable prime cofactor 17013321602333690955797082278374609725188529806408685670162601254205634690789149681630183716264390734433031658708782546930819 has 125 digits
software ソフトウェア
GMP-ECM 6.3 [config GMP 5.0.1] [ECM]
execution environment 実行環境
C2D, 3 GHz, Mac OS X

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 652Makoto KamadaNovember 2, 2010 13:00:00 UTC 2010 年 11 月 2 日 (火) 22 時 0 分 0 秒 (日本時間)
403e690 / 2318Rich DickersonMarch 7, 2011 14:34:08 UTC 2011 年 3 月 7 日 (月) 23 時 34 分 8 秒 (日本時間)

77×10202+319

c154

composite cofactor 合成数の残り
2801633759667550036310478120621743928679274164271246312813899776855129237759587027628385641444359737312780272609897738430663974477050123509185484878508379<154>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e63390290CypJanuary 3, 2014 00:19:47 UTC 2014 年 1 月 3 日 (金) 9 時 19 分 47 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:08:09 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 9 秒 (日本時間)
1500Dmitry DomanovFebruary 13, 2014 09:16:46 UTC 2014 年 2 月 13 日 (木) 18 時 16 分 46 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:08:00 UTC 2014 年 5 月 27 日 (火) 3 時 8 分 0 秒 (日本時間)

77×10203+319

c201

name 名前Serge Batalov
date 日付January 4, 2014 22:45:24 UTC 2014 年 1 月 5 日 (日) 7 時 45 分 24 秒 (日本時間)
composite number 合成数
226998024822381415642227528669555732437133339229385926122461012352230181893222487544588897732967778072580407417234161728722620205772235488340555997759500014740131481972819197547242121399722885528138911<201>
prime factors 素因数
538052817343044402521325498115516943676119<42>
composite cofactor 合成数の残り
421887995946790294644515277368962353764052051878673145737581663971323885436779645882121104763533154813810503895647917653148583954018493122438623334591511829369<159>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1514418168
Step 1 took 67454ms
Step 2 took 33477ms
********** Factor found in step 2: 538052817343044402521325498115516943676119
Found probable prime factor of 42 digits: 538052817343044402521325498115516943676119
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6510210Serge BatalovDecember 4, 2013 17:31:50 UTC 2013 年 12 月 5 日 (木) 2 時 31 分 50 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:08:10 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 10 秒 (日本時間)
4511e6860 / 436260Serge BatalovDecember 4, 2013 17:31:50 UTC 2013 年 12 月 5 日 (木) 2 時 31 分 50 秒 (日本時間)
500Serge BatalovJanuary 4, 2014 22:39:13 UTC 2014 年 1 月 5 日 (日) 7 時 39 分 13 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:35 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 35 秒 (日本時間)

77×10204+319

c148

name 名前Dmitry Domanov
date 日付February 17, 2014 05:51:34 UTC 2014 年 2 月 17 日 (月) 14 時 51 分 34 秒 (日本時間)
composite number 合成数
7086865365398685353464058144583856768804286917407789102619865351849447284142702531411943711167592509365480545957753635754789121593712776905178882277<148>
prime factors 素因数
11249041024042290363458252851424711<35>
629997290458102834550821039363035583315669886489663196112660984056322937223712009740026602672048555989984442936307<114>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2628795786
Step 1 took 16416ms
Step 2 took 7259ms
********** Factor found in step 2: 11249041024042290363458252851424711
Found probable prime factor of 35 digits: 11249041024042290363458252851424711

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:26:50 UTC 2014 年 1 月 7 日 (火) 5 時 26 分 50 秒 (日本時間)
403e61800 / 2100300Serge BatalovJanuary 9, 2014 05:08:12 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 12 秒 (日本時間)
1500Dmitry DomanovFebruary 13, 2014 09:17:00 UTC 2014 年 2 月 13 日 (木) 18 時 17 分 0 秒 (日本時間)

77×10205+319

c170

composite cofactor 合成数の残り
43450924262507133039386808590079454682852711859651431748207117051094168176326160159915643413527284358366253734580162727336304234078135734742642191585325973093848927373803<170>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e63390290CypJanuary 3, 2014 11:52:07 UTC 2014 年 1 月 3 日 (金) 20 時 52 分 7 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:08:12 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 12 秒 (日本時間)
1500Dmitry DomanovFebruary 13, 2014 09:18:24 UTC 2014 年 2 月 13 日 (木) 18 時 18 分 24 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:08:00 UTC 2014 年 5 月 27 日 (火) 3 時 8 分 0 秒 (日本時間)

77×10206+319

c114

name 名前Dmitry Domanov
date 日付November 27, 2013 18:58:37 UTC 2013 年 11 月 28 日 (木) 3 時 58 分 37 秒 (日本時間)
composite number 合成数
778782710944099232261942633515440069661488354180137339773167010671119817292725086013493474610359047659343073064041<114>
prime factors 素因数
62441542282994583422495917813749603562456671400558117787<56>
12472188906137797308125440667669675682268939111212645421643<59>
factorization results 素因数分解の結果
N=778782710944099232261942633515440069661488354180137339773167010671119817292725086013493474610359047659343073064041
  ( 114 digits)
Divisors found:
 r1=62441542282994583422495917813749603562456671400558117787 (pp56)
 r2=12472188906137797308125440667669675682268939111212645421643 (pp59)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 24.70 hours.
Scaled time: 36.49 units (timescale=1.477).
Factorization parameters were as follows:
n: 778782710944099232261942633515440069661488354180137339773167010671119817292725086013493474610359047659343073064041
skew: 101378.58
c0: 18110550467529206236976288067
c1: -38512893071500867360794
c2: -4119296203152475369
c3: -2071973604974
c4: 150846594
c5: 3780
Y0: -11555392693999729223060
Y1: 638022999163
rlim: 4240000
alim: 4240000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 120000
type: gnfs
Factor base limits: 4240000/4240000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2120000, 3080001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 458858 x 459095
Total sieving time: 24.22 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 0.28 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,113,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4240000,4240000,27,27,54,54,2.5,2.5,100000
total time: 24.70 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)

77×10209+319

c204

composite cofactor 合成数の残り
172222046645200642374814086859808995014350681617955897423028096148124201082614625011208412094165736611698533672418413328125517574778980402092851257432303930847435579057378637751792825913951647609178880397<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e63390290CypJanuary 5, 2014 03:26:17 UTC 2014 年 1 月 5 日 (日) 12 時 26 分 17 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:08:13 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 13 秒 (日本時間)
1500Dmitry DomanovFebruary 13, 2014 09:18:34 UTC 2014 年 2 月 13 日 (木) 18 時 18 分 34 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:08:01 UTC 2014 年 5 月 27 日 (火) 3 時 8 分 1 秒 (日本時間)

77×10210+319

c179

name 名前Dmitry Domanov
date 日付February 17, 2014 05:52:15 UTC 2014 年 2 月 17 日 (月) 14 時 52 分 15 秒 (日本時間)
composite number 合成数
12047874776204926431104936872465657006335919288021413703200438721935356410456763258379984625506247985909613558966334300016215809521640252768880445709123593333150939936301546777397<179>
prime factors 素因数
955930084376409968245009496781865650641<39>
12603301196513989225955583580548965413586090419133584776700391665000713827111236395575009898643750162570440121751905296702904320140289556517<140>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2662627557
Step 1 took 22836ms
Step 2 took 8944ms
********** Factor found in step 2: 955930084376409968245009496781865650641
Found probable prime factor of 39 digits: 955930084376409968245009496781865650641

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:26:51 UTC 2014 年 1 月 7 日 (火) 5 時 26 分 51 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:08:14 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 14 秒 (日本時間)
1500Dmitry DomanovFebruary 13, 2014 09:18:43 UTC 2014 年 2 月 13 日 (木) 18 時 18 分 43 秒 (日本時間)
4511e60 / 3875--
5043e647 / 748040CypJanuary 10, 2014 22:32:31 UTC 2014 年 1 月 11 日 (土) 7 時 32 分 31 秒 (日本時間)
7CypJanuary 11, 2014 11:13:05 UTC 2014 年 1 月 11 日 (土) 20 時 13 分 5 秒 (日本時間)

77×10211+319

c197

composite cofactor 合成数の残り
45883907272561892765850724832954607853133191400966276843566638818088570679228901168139450393538861294471101702006515858141528630659245016677666442737269552441069351607879755204853203666107343878957<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:26:51 UTC 2014 年 1 月 7 日 (火) 5 時 26 分 51 秒 (日本時間)
403e63100300Serge BatalovJanuary 9, 2014 05:08:15 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 15 秒 (日本時間)
1500Dmitry DomanovFebruary 13, 2014 09:18:53 UTC 2014 年 2 月 13 日 (木) 18 時 18 分 53 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:08:01 UTC 2014 年 5 月 27 日 (火) 3 時 8 分 1 秒 (日本時間)

77×10212+319

c204

composite cofactor 合成数の残り
565394124469651582516746513023724020362742233160407444908139512333955597809382285751982586053053481434194658215685736581999066145573683080258631365317901734552126073565599913906247136510516081391012189993<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6209046CypJanuary 1, 2014 00:34:40 UTC 2014 年 1 月 1 日 (水) 9 時 34 分 40 秒 (日本時間)
244CypJanuary 4, 2014 15:39:24 UTC 2014 年 1 月 5 日 (日) 0 時 39 分 24 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:08:15 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 15 秒 (日本時間)
1500Dmitry DomanovFebruary 13, 2014 09:19:03 UTC 2014 年 2 月 13 日 (木) 18 時 19 分 3 秒 (日本時間)
4511e6300 / 3876Serge BatalovMay 27, 2014 00:36:35 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 35 秒 (日本時間)
5043e639 / 7406CypJanuary 30, 2014 01:23:04 UTC 2014 年 1 月 30 日 (木) 10 時 23 分 4 秒 (日本時間)

77×10214+319

c204

name 名前Serge Batalov
date 日付November 27, 2013 17:21:41 UTC 2013 年 11 月 28 日 (木) 2 時 21 分 41 秒 (日本時間)
composite number 合成数
638444465974189781730010227201164367022331787609939402383952206899389930469577278349722357788377974906512362533200243925295598970682234436972208162083323336077578094311061936129048320877400026338164626651<204>
prime factors 素因数
9888878342908092750640444693<28>
64561868781817562451456646779005032518052489336367687291107869030870918758889135298007673971172353962806902395910773469379404760101194721020017801679314487360367289218502786607<176>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2296584358
Step 1 took 5374ms
Step 2 took 2595ms
********** Factor found in step 2: 9888878342908092750640444693
Found probable prime factor of 28 digits: 9888878342908092750640444693
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)

77×10216+319

c188

name 名前Serge Batalov
date 日付January 9, 2014 17:20:28 UTC 2014 年 1 月 10 日 (金) 2 時 20 分 28 秒 (日本時間)
composite number 合成数
23537519921314345392559858371935847770273191910469421376611333865337349150620409392087774239745691763093878921067212195870009098197613798383871655868107581522219589815221046010018888160557<188>
prime factors 素因数
35540831247802836490267479068880542053<38>
composite cofactor 合成数の残り
662267006565004139937899548957229951871928486164328563333930882398511752002026174279979004266500546674013509316369927186984585907480798017684946531369<150>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2490510433
Step 1 took 16140ms
Step 2 took 6276ms
********** Factor found in step 2: 35540831247802836490267479068880542053
Found probable prime factor of 38 digits: 35540831247802836490267479068880542053
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6590290CypJanuary 5, 2014 22:18:08 UTC 2014 年 1 月 6 日 (月) 7 時 18 分 8 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:08:16 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 16 秒 (日本時間)
4511e64346230Ignacio SantosFebruary 7, 2014 14:59:07 UTC 2014 年 2 月 7 日 (金) 23 時 59 分 7 秒 (日本時間)
230Ignacio SantosFebruary 7, 2014 17:52:56 UTC 2014 年 2 月 8 日 (土) 2 時 52 分 56 秒 (日本時間)
230Ignacio SantosFebruary 7, 2014 23:32:22 UTC 2014 年 2 月 8 日 (土) 8 時 32 分 22 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:10 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 10 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:36 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 36 秒 (日本時間)
2456Ignacio SantosFebruary 26, 2016 20:03:30 UTC 2016 年 2 月 27 日 (土) 5 時 3 分 30 秒 (日本時間)

77×10217+319

c192

name 名前Serge Batalov
date 日付November 26, 2013 23:39:04 UTC 2013 年 11 月 27 日 (水) 8 時 39 分 4 秒 (日本時間)
composite number 合成数
272329715348640451979733536790116373911450454936432981022914217111855579226930394128293567896922445431817232589914220629666991236452164170609266785312031791043145265497559758145478161713503369<192>
prime factors 素因数
1665542400980363062279114166099041<34>
composite cofactor 合成数の残り
163508125153909696742832828042726634391478976016326082326442098716756411393093103061512477759986264547621700444959187981830088151039568308661049979984057332009<159>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1560046298
Step 1 took 4597ms
Step 2 took 1836ms
********** Factor found in step 2: 1665542400980363062279114166099041
Found probable prime factor of 34 digits: 1665542400980363062279114166099041
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e63390290CypJanuary 3, 2014 08:40:49 UTC 2014 年 1 月 3 日 (金) 17 時 40 分 49 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:08:17 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 17 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 09:47:41 UTC 2014 年 2 月 17 日 (月) 18 時 47 分 41 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:08:02 UTC 2014 年 5 月 27 日 (火) 3 時 8 分 2 秒 (日本時間)

77×10218+319

c162

name 名前Serge Batalov
date 日付January 6, 2014 22:14:39 UTC 2014 年 1 月 7 日 (火) 7 時 14 分 39 秒 (日本時間)
composite number 合成数
249351388839124376431817619313364624973716372689160940106926357681991466548347565011511040593256771436560547146911587762602063422313718235927995136809323131081553<162>
prime factors 素因数
1458338695225448826208947864197189<34>
composite cofactor 合成数の残り
170983180831374990712916558277992570811227504908892554906220521566689797972749092451838900457354169114411727750050249054445682077<129>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3341679277
Step 1 took 3661ms
Step 2 took 2658ms
********** Factor found in step 2: 1458338695225448826208947864197189
Found probable prime factor of 34 digits: 1458338695225448826208947864197189
Composite cofactor 

c129

name 名前Cyp
date 日付January 23, 2014 00:54:43 UTC 2014 年 1 月 23 日 (木) 9 時 54 分 43 秒 (日本時間)
composite number 合成数
170983180831374990712916558277992570811227504908892554906220521566689797972749092451838900457354169114411727750050249054445682077<129>
prime factors 素因数
286864813171194055863488754522927488557761997<45>
596040967664222798903118543497692461510526895189165274099719014945031552299870586641<84>
factorization results 素因数分解の結果
01/22/14 07:44:23 v1.34.3, 
01/22/14 07:44:23 v1.34.3, ****************************
01/22/14 07:44:23 v1.34.3, Starting factorization of 170983180831374990712916558277992570811227504908892554906220521566689797972749092451838900457354169114411727750050249054445682077
01/22/14 07:44:23 v1.34.3, using pretesting plan: none
01/22/14 07:44:23 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/22/14 07:44:23 v1.34.3, ****************************
01/22/14 07:44:23 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C129
01/22/14 07:44:23 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C129
01/22/14 07:44:23 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C129
01/22/14 07:44:23 v1.34.3, final ECM pretested depth: 0.00
01/22/14 07:44:23 v1.34.3, scheduler: switching to sieve method
01/22/14 07:44:23 v1.34.3, nfs: commencing nfs on c129: 170983180831374990712916558277992570811227504908892554906220521566689797972749092451838900457354169114411727750050249054445682077
01/22/14 07:44:23 v1.34.3, nfs: commencing poly selection with 6 threads
01/22/14 07:44:23 v1.34.3, nfs: setting deadline of 7623 seconds
01/22/14 09:53:15 v1.34.3, nfs: completed 449 ranges of size 250 in 7731.8474 seconds
01/22/14 09:53:15 v1.34.3, nfs: best poly = # norm 2.816030e-12 alpha -8.041774 e 9.732e-11 rroots 5
01/22/14 09:53:15 v1.34.3, nfs: commencing lattice sieving with 6 threads
01/22/14 10:08:23 v1.34.3, nfs: commencing lattice sieving with 6 threads
[54 lines snipped]
01/23/14 00:28:05 v1.34.3, nfs: commencing lattice sieving with 6 threads
01/23/14 00:44:19 v1.34.3, nfs: commencing lattice sieving with 6 threads
01/23/14 01:00:33 v1.34.3, nfs: commencing msieve filtering
01/23/14 01:05:32 v1.34.3, nfs: commencing msieve linear algebra
01/23/14 01:51:17 v1.34.3, nfs: commencing msieve sqrt
01/23/14 01:54:42 v1.34.3, prp45 = 286864813171194055863488754522927488557761997
01/23/14 01:54:42 v1.34.3, prp84 = 596040967664222798903118543497692461510526895189165274099719014945031552299870586641
01/23/14 01:54:42 v1.34.3, NFS elapsed time = 65418.8076 seconds.
01/23/14 01:54:42 v1.34.3, 
01/23/14 01:54:42 v1.34.3, 
01/23/14 01:54:42 v1.34.3, Total factoring time = 65418.8552 seconds
--
Thu Jan 23 01:00:33 2014  
Thu Jan 23 01:00:33 2014  commencing relation filtering
Thu Jan 23 01:00:33 2014  estimated available RAM is 15988.7 MB
Thu Jan 23 01:00:33 2014  commencing duplicate removal, pass 1
Thu Jan 23 01:02:13 2014  found 2746698 hash collisions in 21212150 relations
Thu Jan 23 01:02:35 2014  added 121391 free relations
Thu Jan 23 01:02:35 2014  commencing duplicate removal, pass 2
Thu Jan 23 01:02:58 2014  found 1708212 duplicates and 19625329 unique relations
Thu Jan 23 01:02:58 2014  memory use: 82.6 MB
Thu Jan 23 01:02:58 2014  reading ideals above 720000
Thu Jan 23 01:02:58 2014  commencing singleton removal, initial pass
Thu Jan 23 01:04:35 2014  memory use: 689.0 MB
Thu Jan 23 01:04:35 2014  reading all ideals from disk
Thu Jan 23 01:04:35 2014  memory use: 597.9 MB
Thu Jan 23 01:04:36 2014  keeping 21072328 ideals with weight <= 200, target excess is 121488
Thu Jan 23 01:04:37 2014  commencing in-memory singleton removal
Thu Jan 23 01:04:38 2014  begin with 19625329 relations and 21072328 unique ideals
Thu Jan 23 01:04:46 2014  reduce to 7721651 relations and 7065918 ideals in 18 passes
Thu Jan 23 01:04:46 2014  max relations containing the same ideal: 106
Thu Jan 23 01:04:49 2014  removing 1689538 relations and 1432135 ideals in 257403 cliques
Thu Jan 23 01:04:49 2014  commencing in-memory singleton removal
Thu Jan 23 01:04:49 2014  begin with 6032113 relations and 7065918 unique ideals
Thu Jan 23 01:04:53 2014  reduce to 5727122 relations and 5315031 ideals in 12 passes
Thu Jan 23 01:04:53 2014  max relations containing the same ideal: 85
Thu Jan 23 01:04:55 2014  removing 1279106 relations and 1021703 ideals in 257403 cliques
Thu Jan 23 01:04:55 2014  commencing in-memory singleton removal
Thu Jan 23 01:04:55 2014  begin with 4448016 relations and 5315031 unique ideals
Thu Jan 23 01:04:57 2014  reduce to 4206887 relations and 4040843 ideals in 10 passes
Thu Jan 23 01:04:57 2014  max relations containing the same ideal: 66
Thu Jan 23 01:04:59 2014  removing 206027 relations and 180910 ideals in 25117 cliques
Thu Jan 23 01:04:59 2014  commencing in-memory singleton removal
Thu Jan 23 01:04:59 2014  begin with 4000860 relations and 4040843 unique ideals
Thu Jan 23 01:05:00 2014  reduce to 3993837 relations and 3852871 ideals in 7 passes
Thu Jan 23 01:05:00 2014  max relations containing the same ideal: 64
Thu Jan 23 01:05:01 2014  relations with 0 large ideals: 509
Thu Jan 23 01:05:01 2014  relations with 1 large ideals: 2107
Thu Jan 23 01:05:01 2014  relations with 2 large ideals: 31821
Thu Jan 23 01:05:01 2014  relations with 3 large ideals: 194845
Thu Jan 23 01:05:01 2014  relations with 4 large ideals: 615636
Thu Jan 23 01:05:01 2014  relations with 5 large ideals: 1085438
Thu Jan 23 01:05:01 2014  relations with 6 large ideals: 1117935
Thu Jan 23 01:05:01 2014  relations with 7+ large ideals: 945546
Thu Jan 23 01:05:01 2014  commencing 2-way merge
Thu Jan 23 01:05:02 2014  reduce to 2278965 relation sets and 2137999 unique ideals
Thu Jan 23 01:05:02 2014  commencing full merge
Thu Jan 23 01:05:23 2014  memory use: 254.1 MB
Thu Jan 23 01:05:23 2014  found 1164965 cycles, need 1146199
Thu Jan 23 01:05:23 2014  weight of 1146199 cycles is about 80452442 (70.19/cycle)
Thu Jan 23 01:05:23 2014  distribution of cycle lengths:
Thu Jan 23 01:05:23 2014  1 relations: 146226
Thu Jan 23 01:05:23 2014  2 relations: 129133
Thu Jan 23 01:05:23 2014  3 relations: 126112
Thu Jan 23 01:05:23 2014  4 relations: 114161
Thu Jan 23 01:05:23 2014  5 relations: 106329
Thu Jan 23 01:05:23 2014  6 relations: 92684
Thu Jan 23 01:05:23 2014  7 relations: 82721
Thu Jan 23 01:05:23 2014  8 relations: 71100
Thu Jan 23 01:05:23 2014  9 relations: 61223
Thu Jan 23 01:05:23 2014  10+ relations: 216510
Thu Jan 23 01:05:23 2014  heaviest cycle: 20 relations
Thu Jan 23 01:05:24 2014  commencing cycle optimization
Thu Jan 23 01:05:25 2014  start with 6714759 relations
Thu Jan 23 01:05:30 2014  pruned 139721 relations
Thu Jan 23 01:05:30 2014  memory use: 228.5 MB
Thu Jan 23 01:05:30 2014  distribution of cycle lengths:
Thu Jan 23 01:05:30 2014  1 relations: 146226
Thu Jan 23 01:05:30 2014  2 relations: 131722
Thu Jan 23 01:05:30 2014  3 relations: 129927
Thu Jan 23 01:05:30 2014  4 relations: 116606
Thu Jan 23 01:05:30 2014  5 relations: 108549
Thu Jan 23 01:05:30 2014  6 relations: 93839
Thu Jan 23 01:05:30 2014  7 relations: 83455
Thu Jan 23 01:05:30 2014  8 relations: 71660
Thu Jan 23 01:05:30 2014  9 relations: 60764
Thu Jan 23 01:05:30 2014  10+ relations: 203451
Thu Jan 23 01:05:30 2014  heaviest cycle: 20 relations
Thu Jan 23 01:05:31 2014  RelProcTime: 298
Thu Jan 23 01:05:32 2014  
Thu Jan 23 01:05:32 2014  commencing linear algebra
Thu Jan 23 01:05:32 2014  read 1146199 cycles
Thu Jan 23 01:05:33 2014  cycles contain 3874055 unique relations
Thu Jan 23 01:05:59 2014  read 3874055 relations
Thu Jan 23 01:06:02 2014  using 20 quadratic characters above 268432428
Thu Jan 23 01:06:15 2014  building initial matrix
Thu Jan 23 01:06:40 2014  memory use: 499.7 MB
Thu Jan 23 01:06:41 2014  read 1146199 cycles
Thu Jan 23 01:06:41 2014  matrix is 1146035 x 1146199 (348.1 MB) with weight 111709262 (97.46/col)
Thu Jan 23 01:06:41 2014  sparse part has weight 77503881 (67.62/col)
Thu Jan 23 01:06:47 2014  filtering completed in 2 passes
Thu Jan 23 01:06:47 2014  matrix is 1144586 x 1144758 (348.0 MB) with weight 111649154 (97.53/col)
Thu Jan 23 01:06:47 2014  sparse part has weight 77488169 (67.69/col)
Thu Jan 23 01:06:51 2014  matrix starts at (0, 0)
Thu Jan 23 01:06:52 2014  matrix is 1144586 x 1144758 (348.0 MB) with weight 111649154 (97.53/col)
Thu Jan 23 01:06:52 2014  sparse part has weight 77488169 (67.69/col)
Thu Jan 23 01:06:52 2014  saving the first 48 matrix rows for later
Thu Jan 23 01:06:52 2014  matrix includes 64 packed rows
Thu Jan 23 01:06:52 2014  matrix is 1144538 x 1144758 (337.2 MB) with weight 89199451 (77.92/col)
Thu Jan 23 01:06:52 2014  sparse part has weight 76935283 (67.21/col)
Thu Jan 23 01:06:52 2014  using block size 65536 for processor cache size 8192 kB
Thu Jan 23 01:06:55 2014  commencing Lanczos iteration (6 threads)
Thu Jan 23 01:06:55 2014  memory use: 306.1 MB
Thu Jan 23 01:06:59 2014  linear algebra at 0.1%, ETA 0h50m
Thu Jan 23 01:07:00 2014  checkpointing every 1460000 dimensions
Thu Jan 23 01:51:15 2014  lanczos halted after 18101 iterations (dim = 1144532)
Thu Jan 23 01:51:16 2014  recovered 28 nontrivial dependencies
Thu Jan 23 01:51:17 2014  BLanczosTime: 2745
Thu Jan 23 01:51:17 2014  
Thu Jan 23 01:51:17 2014  commencing square root phase
Thu Jan 23 01:51:17 2014  reading relations for dependency 1
Thu Jan 23 01:51:17 2014  read 572376 cycles
Thu Jan 23 01:51:17 2014  cycles contain 1937866 unique relations
Thu Jan 23 01:51:38 2014  read 1937866 relations
Thu Jan 23 01:51:44 2014  multiplying 1937866 relations
Thu Jan 23 01:53:02 2014  multiply complete, coefficients have about 87.10 million bits
Thu Jan 23 01:53:03 2014  initial square root is modulo 1786439
Thu Jan 23 01:54:41 2014  sqrtTime: 204
--
n: 170983180831374990712916558277992570811227504908892554906220521566689797972749092451838900457354169114411727750050249054445682077
skew: 869950.52
c0: -104024818016481415171713240229920
c1: 4286690563440848005336123344
c2: 2854485935423094486362
c3: -37152170535136831
c4: -3836623578
c5: 4680
Y0: -8176013867916035213601013
Y1: 12817079824357
rlim: 8600000
alim: 8600000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:26:52 UTC 2014 年 1 月 7 日 (火) 5 時 26 分 52 秒 (日本時間)
403e62100300Serge BatalovJanuary 9, 2014 05:08:18 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 18 秒 (日本時間)
1800Dmitry DomanovJanuary 17, 2014 07:40:50 UTC 2014 年 1 月 17 日 (金) 16 時 40 分 50 秒 (日本時間)

77×10223+319

c166

composite cofactor 合成数の残り
3345862793573724150445387740329154477518734975982853940826183644119123321110329014025689720490152570079715670480079659395180544519397842473370184048485137299127096651<166>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6590290CypJanuary 5, 2014 00:50:22 UTC 2014 年 1 月 5 日 (日) 9 時 50 分 22 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:08:19 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 19 秒 (日本時間)
4511e6696 / 42111CypJanuary 10, 2014 17:46:38 UTC 2014 年 1 月 11 日 (土) 2 時 46 分 38 秒 (日本時間)
395CypFebruary 15, 2014 09:52:06 UTC 2014 年 2 月 15 日 (土) 18 時 52 分 6 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:36 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 36 秒 (日本時間)
5043e638 / 7374CypJanuary 23, 2014 06:19:32 UTC 2014 年 1 月 23 日 (木) 15 時 19 分 32 秒 (日本時間)

77×10224+319

c213

composite cofactor 合成数の残り
102130531816032010419103725375007078480445329868153886433618010562733308282171737821162768796540033312750657796957888067383737320229216300331504081091975034292198434510125780209662512381591850116279807544663426029<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:26:53 UTC 2014 年 1 月 7 日 (火) 5 時 26 分 53 秒 (日本時間)
403e63100300Serge BatalovJanuary 9, 2014 05:08:19 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 19 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 09:48:01 UTC 2014 年 2 月 17 日 (月) 18 時 48 分 1 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:08:02 UTC 2014 年 5 月 27 日 (火) 3 時 8 分 2 秒 (日本時間)

77×10225+319

c204

name 名前Serge Batalov
date 日付May 19, 2014 05:59:57 UTC 2014 年 5 月 19 日 (月) 14 時 59 分 57 秒 (日本時間)
composite number 合成数
196786007442805184118134097625760163400187275563372278577040362919549263097937764948253879037471336924925405613678340932644564513268156400836537470806498022154105462597363790123770419122563246920143409957<204>
prime factors 素因数
6100649747975249033459431563707908256299<40>
32256565377829910009859891400643708154752215868035468457905991638026981218439303539812982358447119055369020247676260777728344733749532777091719716047246956906280943<164>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2456176023
Step 1 took 18625ms
Step 2 took 13640ms
********** Factor found in step 2: 6100649747975249033459431563707908256299
Found probable prime factor of 40 digits: 6100649747975249033459431563707908256299
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090 / 2318290CypJanuary 5, 2014 21:55:23 UTC 2014 年 1 月 6 日 (月) 6 時 55 分 23 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:08:20 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 20 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 09:48:10 UTC 2014 年 2 月 17 日 (月) 18 時 48 分 10 秒 (日本時間)

77×10228+319

c210

composite cofactor 合成数の残り
189514219153162344471603351302277844311185641538181078313656217390969627218552102208993670838381966584930594553978759768377226900535620811212107349271877944862555096111888716616484617572518241080780231855367939<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e63390290CypJanuary 6, 2014 05:28:34 UTC 2014 年 1 月 6 日 (月) 14 時 28 分 34 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:08:21 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 21 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 09:48:19 UTC 2014 年 2 月 17 日 (月) 18 時 48 分 19 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:08:02 UTC 2014 年 5 月 27 日 (火) 3 時 8 分 2 秒 (日本時間)

77×10230+319

c160

name 名前Serge Batalov
date 日付November 27, 2013 18:29:42 UTC 2013 年 11 月 28 日 (木) 3 時 29 分 42 秒 (日本時間)
composite number 合成数
1275770878285610516908527428656288348615753359071664645434561109572977820251874759347649922253896851685151448412905957061146847944188602111494562073109247286057<160>
prime factors 素因数
6415562134106689744977765357627920609<37>
198855665585919903532459786035321462146518409182513857905195708624929527753376784302890379515651667372060302730580410182473<123>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1379437164
Step 1 took 12105ms
Step 2 took 10256ms
********** Factor found in step 2: 6415562134106689744977765357627920609
Found probable prime factor of 37 digits: 6415562134106689744977765357627920609
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovNovember 27, 2013 18:29:02 UTC 2013 年 11 月 28 日 (木) 3 時 29 分 2 秒 (日本時間)

77×10231+319

c168

composite cofactor 合成数の残り
108006480708205989674427939580278670119904528857105803049309819574976626644189644501045008953802546299997535900823197194730234272960302312593939767933465025540143247953<168>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:26:53 UTC 2014 年 1 月 7 日 (火) 5 時 26 分 53 秒 (日本時間)
403e63100300Serge BatalovJanuary 9, 2014 05:08:22 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 22 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 09:48:27 UTC 2014 年 2 月 17 日 (月) 18 時 48 分 27 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:08:03 UTC 2014 年 5 月 27 日 (火) 3 時 8 分 3 秒 (日本時間)

77×10232+319

c201

composite cofactor 合成数の残り
427071276087227739469706479385485763219808107939778723640398540350679192293708187581911139848346320684179542138425716310198790615145294000142313426370223782021231065229580400729428107439903328040946201<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e63390290CypJanuary 3, 2014 01:29:06 UTC 2014 年 1 月 3 日 (金) 10 時 29 分 6 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:08:23 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 23 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 09:48:37 UTC 2014 年 2 月 17 日 (月) 18 時 48 分 37 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:08:03 UTC 2014 年 5 月 27 日 (火) 3 時 8 分 3 秒 (日本時間)

77×10233+319

c217

name 名前Dmitry Domanov
date 日付February 14, 2014 05:22:56 UTC 2014 年 2 月 14 日 (金) 14 時 22 分 56 秒 (日本時間)
composite number 合成数
1455921633660029683039596047150664762438396307926210258875066613909057195499862468961981649379208766224931701562312949672340481906948500519921071113003536071568916005126747039697386467540608608198752163207186691521707<217>
prime factors 素因数
1401751713652378370132362961181073157<37>
composite cofactor 合成数の残り
1038644447144285752311813082553346682763446660695157916419741060208657719390123536076016622172523251117235096054481715964948130345777226035129256129935517639617603596477755271175151<181>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2950986506
Step 1 took 31016ms
Step 2 took 11068ms
********** Factor found in step 2: 1401751713652378370132362961181073157
Found probable prime factor of 37 digits: 1401751713652378370132362961181073157

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:26:54 UTC 2014 年 1 月 7 日 (火) 5 時 26 分 54 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:08:23 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 23 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 09:48:45 UTC 2014 年 2 月 17 日 (月) 18 時 48 分 45 秒 (日本時間)
4511e6300 / 3875Serge BatalovMay 27, 2014 00:36:36 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 36 秒 (日本時間)
5043e647 / 7413CypFebruary 1, 2014 16:44:53 UTC 2014 年 2 月 2 日 (日) 1 時 44 分 53 秒 (日本時間)

77×10234+319

c221

composite cofactor 合成数の残り
44650530291913723332804667818771961811736462095581515264862352104104355649267530903000876501450434854752442904349911258173776967518561391426941640987617135902296923245530239269840631402825869654537379937137243398554971673<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:26:55 UTC 2014 年 1 月 7 日 (火) 5 時 26 分 55 秒 (日本時間)
403e63100300Serge BatalovJanuary 9, 2014 05:08:24 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 24 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 09:48:58 UTC 2014 年 2 月 17 日 (月) 18 時 48 分 58 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:08:04 UTC 2014 年 5 月 27 日 (火) 3 時 8 分 4 秒 (日本時間)

77×10236+319

c174

composite cofactor 合成数の残り
106765335711992705641763953153071466768662526455781285787917513272433176543914569822082823744437812840526201883298592205669435197703167199148479905307680778999864223650000401<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 5, 2014 18:50:09 UTC 2014 年 1 月 6 日 (月) 3 時 50 分 9 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:08:25 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 25 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 09:49:07 UTC 2014 年 2 月 17 日 (月) 18 時 49 分 7 秒 (日本時間)
4511e6801 / 4013501CypFebruary 17, 2014 19:30:01 UTC 2014 年 2 月 18 日 (火) 4 時 30 分 1 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:37 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 37 秒 (日本時間)

77×10237+319

c223

composite cofactor 合成数の残り
1480015233561607544640268207083421072638542670103592140250712902010660291653305948234497549204149586693784591665151366313440968593405597873151115171844315597445949748421720727955366262961514420206080582511790161078576476107<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e63390290CypJanuary 6, 2014 04:31:31 UTC 2014 年 1 月 6 日 (月) 13 時 31 分 31 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:08:26 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 26 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 09:49:16 UTC 2014 年 2 月 17 日 (月) 18 時 49 分 16 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:08:04 UTC 2014 年 5 月 27 日 (火) 3 時 8 分 4 秒 (日本時間)

77×10240+319

c206

composite cofactor 合成数の残り
16144414398558997468800994682892099925961758957703038131658695240872937845424099500199042982484889303201706784304371275481120620876493939455379298569381054772333870211034643349465322413632570084997344661451<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:26:56 UTC 2014 年 1 月 7 日 (火) 5 時 26 分 56 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2014 05:08:26 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 26 秒 (日本時間)
4511e6822 / 4372522CypFebruary 16, 2014 02:44:59 UTC 2014 年 2 月 16 日 (日) 11 時 44 分 59 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:37 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 37 秒 (日本時間)

77×10241+319

c221

composite cofactor 合成数の残り
66717038270700739349326127699440779475503944794492069408512984030916209628417950633370445195849796760121640312965483015116936104382607364267963427946838312734571535180176173046576372663701613729146220845896661590178679637<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e63390290CypJanuary 5, 2014 13:38:29 UTC 2014 年 1 月 5 日 (日) 22 時 38 分 29 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:08:27 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 27 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 09:49:32 UTC 2014 年 2 月 17 日 (月) 18 時 49 分 32 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:08:05 UTC 2014 年 5 月 27 日 (火) 3 時 8 分 5 秒 (日本時間)

77×10244+319

c192

composite cofactor 合成数の残り
423046649208919657064946975962799651794349287210334469273792843431961153271739839452113416796029235641137827234825212700973968817855689683020562729352943814900469555521042825752757143418775467<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:26:57 UTC 2014 年 1 月 7 日 (火) 5 時 26 分 57 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:08:28 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 28 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 09:49:43 UTC 2014 年 2 月 17 日 (月) 18 時 49 分 43 秒 (日本時間)
4511e6300 / 3875Serge BatalovMay 27, 2014 00:36:37 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 37 秒 (日本時間)
5043e647 / 7413CypJanuary 12, 2014 03:05:43 UTC 2014 年 1 月 12 日 (日) 12 時 5 分 43 秒 (日本時間)

77×10245+319

c198

composite cofactor 合成数の残り
125346357338486141872716149753344614106023743142587987948810192964394064175047022105049938795444926255609197709169854930025376261806425107825102623075630852507476314186738242785036822243562129409463<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e63390290CypJanuary 2, 2014 19:36:21 UTC 2014 年 1 月 3 日 (金) 4 時 36 分 21 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:08:28 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 28 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 09:49:52 UTC 2014 年 2 月 17 日 (月) 18 時 49 分 52 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:08:05 UTC 2014 年 5 月 27 日 (火) 3 時 8 分 5 秒 (日本時間)

77×10246+319

c229

name 名前Serge Batalov
date 日付November 27, 2013 01:52:34 UTC 2013 年 11 月 27 日 (水) 10 時 52 分 34 秒 (日本時間)
composite number 合成数
6930316396254404562208719494924019514054227297724877825486065346331860517357971581187452135357752968031551961825538790320142428053642267834078328232363903396744976377682627648633692337260079037259253683099271262196503924983717883<229>
prime factors 素因数
315985624954148189247296741021813<33>
composite cofactor 合成数の残り
21932378719000409719869195347911974557332585957712478217745132641555361290979793131112015042385224541672827721859478990634292115322852406928008774423452571170321392157645217930762248873721263753391<197>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=757488979
Step 1 took 6838ms
Step 2 took 3513ms
********** Factor found in step 2: 315985624954148189247296741021813
Found probable prime factor of 33 digits: 315985624954148189247296741021813
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:26:58 UTC 2014 年 1 月 7 日 (火) 5 時 26 分 58 秒 (日本時間)
403e63100300Serge BatalovJanuary 9, 2014 05:08:29 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 29 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 09:50:00 UTC 2014 年 2 月 17 日 (月) 18 時 50 分 0 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:08:05 UTC 2014 年 5 月 27 日 (火) 3 時 8 分 5 秒 (日本時間)

77×10247+319

c240

name 名前Serge Batalov
date 日付January 9, 2014 10:48:09 UTC 2014 年 1 月 9 日 (木) 19 時 48 分 9 秒 (日本時間)
composite number 合成数
125045048635843753011225852821250545575810097571607243194687649553218434040449230975979578076579352381341983276828244709443906459234190444436968049705357464313105722610438298188315684350935802545487262613105392150477948735779317411341119477<240>
prime factors 素因数
95142981304496864213538750164220167857<38>
composite cofactor 合成数の残り
1314285582828731363365774747606727726515919506304579500164442190082534685372609074614770944103620413950040228602602295007251704090728644650647986514152638931052898569196493538985346551351047621978838661<202>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3454845735
Step 1 took 22813ms
Step 2 took 8637ms
********** Factor found in step 2: 95142981304496864213538750164220167857
Found probable prime factor of 38 digits: 95142981304496864213538750164220167857
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6590290CypJanuary 1, 2014 15:08:16 UTC 2014 年 1 月 2 日 (木) 0 時 8 分 16 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:08:30 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 30 秒 (日本時間)
4511e6801 / 4345501CypFebruary 14, 2014 18:43:12 UTC 2014 年 2 月 15 日 (土) 3 時 43 分 12 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:38 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 38 秒 (日本時間)

77×10248+319

c207

composite cofactor 合成数の残り
456675119500228476431639818800694139145050707143073196970765616353926364700204431863496413023024832471313250500675166130792938965158332132289133492081576087003511445859053893089381723907226147394420267249973<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e63390290CypJanuary 4, 2014 02:34:33 UTC 2014 年 1 月 4 日 (土) 11 時 34 分 33 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:08:31 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 31 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 09:50:16 UTC 2014 年 2 月 17 日 (月) 18 時 50 分 16 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:08:06 UTC 2014 年 5 月 27 日 (火) 3 時 8 分 6 秒 (日本時間)

77×10250+319

c247

name 名前Serge Batalov
date 日付December 24, 2013 21:43:02 UTC 2013 年 12 月 25 日 (水) 6 時 43 分 2 秒 (日本時間)
composite number 合成数
4760756527491823246094015667216935927636500782124286659370961858302573899925188111710842777561379753800876721137140701995189781067027742226673838715461329673115327781178318154557651524987788968647017726089564050723696820185607676565330563438626429<247>
prime factors 素因数
36094731132141215422755969855755483341623491<44>
56866495953992653719026352253356343577511847282883<50>
composite cofactor 合成数の残り
2319400209514081075280309637870989746408278200029204569886873485644926752894999345594917984338647111517023433068165686043078313219715049892152824447051093<154>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1958762400
Step 1 took 76800ms
Step 2 took 33930ms
********** Factor found in step 2: 36094731132141215422755969855755483341623491
Found probable prime factor of 44 digits: 36094731132141215422755969855755483341623491

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=2475441461
Step 1 took 63866ms
Step 2 took 33144ms
********** Factor found in step 2: 56866495953992653719026352253356343577511847282883
Found probable prime factor of 50 digits: 56866495953992653719026352253356343577511847282883
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6210Serge BatalovDecember 4, 2013 17:32:49 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 49 秒 (日本時間)
4511e6456060Serge BatalovDecember 4, 2013 17:32:49 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 49 秒 (日本時間)
600Serge BatalovDecember 24, 2013 19:50:54 UTC 2013 年 12 月 25 日 (水) 4 時 50 分 54 秒 (日本時間)
2000Serge BatalovDecember 24, 2013 21:42:20 UTC 2013 年 12 月 25 日 (水) 6 時 42 分 20 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:25:40 UTC 2014 年 1 月 6 日 (月) 11 時 25 分 40 秒 (日本時間)
1500Dmitry DomanovJanuary 31, 2014 19:29:08 UTC 2014 年 2 月 1 日 (土) 4 時 29 分 8 秒 (日本時間)