Table of contents 目次

13×10104+419

c88

name 名前Robert Backstrom
date 日付March 12, 2008 05:06:57 UTC 2008 年 3 月 12 日 (水) 14 時 6 分 57 秒 (日本時間)
composite number 合成数
3000458199901250301274157335435457953713106459866806768401390259674963419497493078976657<88>
prime factors 素因数
1079735338858603736315862602698429<34>
2778883020604898417243505418183286377453379744603666533<55>
factorization results 素因数分解の結果
GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 3000458199901250301274157335435457953713106459866806768401390259674963419497493078976657 (88 digits)
Using B1=774000, B2=582802457, polynomial Dickson(3), sigma=1309685775
Step 1 took 6735ms
Step 2 took 4671ms
********** Factor found in step 2: 1079735338858603736315862602698429
Found probable prime factor of 34 digits: 1079735338858603736315862602698429
Probable prime cofactor 2778883020604898417243505418183286377453379744603666533 has 55 digits

13×10112+419

c110

name 名前Sinkiti Sibata
date 日付March 12, 2008 06:30:37 UTC 2008 年 3 月 12 日 (水) 15 時 30 分 37 秒 (日本時間)
composite number 合成数
47050307636626854867897213174086138255519363011219688744118711545421643141512848353239232718060079623597538907<110>
prime factors 素因数
8572768217428917273838004418010090479942244487<46>
5488344773042031843138651813870233083606331551067207445911659661<64>
factorization results 素因数分解の結果
Number: 14449_112
N=47050307636626854867897213174086138255519363011219688744118711545421643141512848353239232718060079623597538907
  ( 110 digits)
SNFS difficulty: 113 digits.
Divisors found:
 r1=8572768217428917273838004418010090479942244487 (pp46)
 r2=5488344773042031843138651813870233083606331551067207445911659661 (pp64)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 1.81 hours.
Scaled time: 1.20 units (timescale=0.666).
Factorization parameters were as follows:
name: 14449_112
n: 47050307636626854867897213174086138255519363011219688744118711545421643141512848353239232718060079623597538907
m: 10000000000000000000000
c5: 1300
c0: 41
skew: 0.5
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 500001)
Primes: RFBsize:49098, AFBsize:64309, largePrimes:2003845 encountered
Relations: rels:2009047, finalFF:176679
Max relations in full relation-set: 28
Initial matrix: 113474 x 176679 with sparse part having weight 13565947.
Pruned matrix : 92176 x 92807 with weight 4749967.
Total sieving time: 1.60 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,113,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.81 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

13×10124+419

c119

name 名前Sinkiti Sibata
date 日付March 12, 2008 11:11:44 UTC 2008 年 3 月 12 日 (水) 20 時 11 分 44 秒 (日本時間)
composite number 合成数
76434933586862128430679100866478166361220912833013776514837490511778917246249249614738536670835310352288608901847549937<119>
prime factors 素因数
5175757663323323463917452916699<31>
87280545998199448610509108990088503350991<41>
169200056742758350400056102242352593752657930093<48>
factorization results 素因数分解の結果
Number: 14449_124
N=76434933586862128430679100866478166361220912833013776514837490511778917246249249614738536670835310352288608901847549937
  ( 119 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=5175757663323323463917452916699 (pp31)
 r2=87280545998199448610509108990088503350991 (pp41)
 r3=169200056742758350400056102242352593752657930093 (pp48)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 4.26 hours.
Scaled time: 2.88 units (timescale=0.675).
Factorization parameters were as follows:
name: 14449_124
n: 76434933586862128430679100866478166361220912833013776514837490511778917246249249614738536670835310352288608901847549937
m: 10000000000000000000000000
c5: 13
c0: 410
skew: 1.99
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 750001)
Primes: RFBsize:49098, AFBsize:63919, largePrimes:2203916 encountered
Relations: rels:2274248, finalFF:176608
Max relations in full relation-set: 28
Initial matrix: 113082 x 176608 with sparse part having weight 17252242.
Pruned matrix : 102053 x 102682 with weight 7545808.
Total sieving time: 3.90 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.21 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,126,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 4.26 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

13×10125+419

c113

name 名前Sinkiti Sibata
date 日付March 12, 2008 06:42:42 UTC 2008 年 3 月 12 日 (水) 15 時 42 分 42 秒 (日本時間)
composite number 合成数
35864873363205130270954386390806827723737536465615384529439091825776660100342021248266317605381766728041679618793<113>
prime factors 素因数
381289435910446427225910525930919899803<39>
94062069350457232819353561152321954296011723467198330678707421280406128331<74>
factorization results 素因数分解の結果
Number: 14449_125
N=35864873363205130270954386390806827723737536465615384529439091825776660100342021248266317605381766728041679618793
  ( 113 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=381289435910446427225910525930919899803 (pp39)
 r2=94062069350457232819353561152321954296011723467198330678707421280406128331 (pp74)
Version: GGNFS-0.77.1-20060513-k8
Total time: 2.79 hours.
Scaled time: 5.59 units (timescale=2.001).
Factorization parameters were as follows:
name: 14449_125
n: 35864873363205130270954386390806827723737536465615384529439091825776660100342021248266317605381766728041679618793
m: 10000000000000000000000000
c5: 13
c0: 41
skew: 1.26
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 650001)
Primes: RFBsize:49098, AFBsize:64124, largePrimes:2267632 encountered
Relations: rels:2464267, finalFF:301761
Max relations in full relation-set: 28
Initial matrix: 113289 x 301761 with sparse part having weight 29886474.
Pruned matrix : 84010 x 84640 with weight 7199058.
Total sieving time: 2.63 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,126,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.79 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

13×10126+419

c104

name 名前Sinkiti Sibata
date 日付March 12, 2008 09:26:08 UTC 2008 年 3 月 12 日 (水) 18 時 26 分 8 秒 (日本時間)
composite number 合成数
30853054875570717616725973948709528454911957351445666387478574633512858115600884689245414260005067175597<104>
prime factors 素因数
904847641670711020711019082822834496093841<42>
34097513719109247682145677399500333906397624571462875526708317<62>
factorization results 素因数分解の結果
Number: 14449_126
N=30853054875570717616725973948709528454911957351445666387478574633512858115600884689245414260005067175597
  ( 104 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=904847641670711020711019082822834496093841 (pp42)
 r2=34097513719109247682145677399500333906397624571462875526708317 (pp62)
Version: GGNFS-0.77.1-20060513-k8
Total time: 4.69 hours.
Scaled time: 9.36 units (timescale=1.995).
Factorization parameters were as follows:
name: 14449_126
n: 30853054875570717616725973948709528454911957351445666387478574633512858115600884689245414260005067175597
m: 10000000000000000000000000
c5: 130
c0: 41
skew: 0.79
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 850001)
Primes: RFBsize:49098, AFBsize:63954, largePrimes:2306923 encountered
Relations: rels:2474799, finalFF:204406
Max relations in full relation-set: 28
Initial matrix: 113119 x 204406 with sparse part having weight 22772454.
Pruned matrix : 98877 x 99506 with weight 9226871.
Total sieving time: 4.48 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,127,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 4.69 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

13×10128+419

c129

name 名前Robert Backstrom
date 日付March 13, 2008 04:22:44 UTC 2008 年 3 月 13 日 (木) 13 時 22 分 44 秒 (日本時間)
composite number 合成数
144444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449<129>
prime factors 素因数
879276544604910226814961729129827481250658463712668818370122309<63>
164276467205602984226476216588935499461222868575837590383237340461<66>
factorization results 素因数分解の結果
Number: n
N=144444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449
  ( 129 digits)
SNFS difficulty: 129 digits.
Divisors found:

Thu Mar 13 15:18:03 2008  prp63 factor: 879276544604910226814961729129827481250658463712668818370122309
Thu Mar 13 15:18:03 2008  prp66 factor: 164276467205602984226476216588935499461222868575837590383237340461
Thu Mar 13 15:18:03 2008  elapsed time 00:11:24 (Msieve 1.33)

Version: GGNFS-0.77.1-20050930-k8
Total time: 3.16 hours.
Scaled time: 2.64 units (timescale=0.837).
Factorization parameters were as follows:
name: KA_1_4_127_9
n: 144444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449
type: snfs
deg: 5
c5: 13000
c0: 41
skew: 0.32
m: 10000000000000000000000000
rlim: 800000
alim: 800000
lbpr: 28
lbpa: 28
mbpr: 48
mbpa: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved  special-q in [100000, 650833)
Primes: RFBsize:63951, AFBsize:63689, largePrimes:1559983 encountered
Relations: rels:1533763, finalFF:136673
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 3.08 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,129,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.5,2.5,50000
total time: 3.16 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656)
Total of 2 processors activated (11993.08 BogoMIPS).

13×10129+419

c105

name 名前Sinkiti Sibata
date 日付March 12, 2008 21:37:28 UTC 2008 年 3 月 13 日 (木) 6 時 37 分 28 秒 (日本時間)
composite number 合成数
351978311532737548449964405792590044432251798869824835323670785490076165265575416679098233153448271644127<105>
prime factors 素因数
403320046055777109046610052427009389053<39>
872702249677073427449981915399492394603014246802684484605353730059<66>
factorization results 素因数分解の結果
Number: 14449_129
N=351978311532737548449964405792590044432251798869824835323670785490076165265575416679098233153448271644127
  ( 105 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=403320046055777109046610052427009389053 (pp39)
 r2=872702249677073427449981915399492394603014246802684484605353730059 (pp66)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 6.68 hours.
Scaled time: 4.51 units (timescale=0.675).
Factorization parameters were as follows:
name: 14449_129
n: 351978311532737548449964405792590044432251798869824835323670785490076165265575416679098233153448271644127
m: 100000000000000000000000000
c5: 13
c0: 410
skew: 1.99
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [400000, 1100001)
Primes: RFBsize:63951, AFBsize:63919, largePrimes:1499538 encountered
Relations: rels:1486985, finalFF:157544
Max relations in full relation-set: 28
Initial matrix: 127935 x 157544 with sparse part having weight 12577546.
Pruned matrix : 119718 x 120421 with weight 7910460.
Total sieving time: 6.28 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.26 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 6.68 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

13×10131+419

c115

name 名前Sinkiti Sibata
date 日付March 12, 2008 13:02:31 UTC 2008 年 3 月 12 日 (水) 22 時 2 分 31 秒 (日本時間)
composite number 合成数
1387707301201101239142370408651903318062058439543780296573801125314505866008428422395864867644533736113263082131547<115>
prime factors 素因数
2249090272651913721819392572240308879238027<43>
617008271333123742480108012577387394787114276114628954373956069679259761<72>
factorization results 素因数分解の結果
Number: 14449_131
N=1387707301201101239142370408651903318062058439543780296573801125314505866008428422395864867644533736113263082131547
  ( 115 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=2249090272651913721819392572240308879238027 (pp43)
 r2=617008271333123742480108012577387394787114276114628954373956069679259761 (pp72)
Version: GGNFS-0.77.1-20060513-k8
Total time: 6.47 hours.
Scaled time: 12.90 units (timescale=1.995).
Factorization parameters were as follows:
name: 14449_131
n: 1387707301201101239142370408651903318062058439543780296573801125314505866008428422395864867644533736113263082131547
m: 100000000000000000000000000
c5: 130
c0: 41
skew: 0.79
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [400000, 1250001)
Primes: RFBsize:63951, AFBsize:63954, largePrimes:1541842 encountered
Relations: rels:1537508, finalFF:155468
Max relations in full relation-set: 28
Initial matrix: 127972 x 155468 with sparse part having weight 14753604.
Pruned matrix : 121290 x 121993 with weight 9959479.
Total sieving time: 6.24 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,132,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 6.47 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

13×10133+419

c104

name 名前Sinkiti Sibata
date 日付March 13, 2008 10:37:28 UTC 2008 年 3 月 13 日 (木) 19 時 37 分 28 秒 (日本時間)
composite number 合成数
64072259351165258960611191479962903530231838357246417129235599200904516844792796123931176281428583983847<104>
prime factors 素因数
517649884092539390536611188644180047608897<42>
123775280010902446150077540889220597396514583675408960720813351<63>
factorization results 素因数分解の結果
Number: 14449_133
N=64072259351165258960611191479962903530231838357246417129235599200904516844792796123931176281428583983847
  ( 104 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=517649884092539390536611188644180047608897 (pp42)
 r2=123775280010902446150077540889220597396514583675408960720813351 (pp63)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 12.38 hours.
Scaled time: 8.34 units (timescale=0.674).
Factorization parameters were as follows:
name: 14449_133
n: 64072259351165258960611191479962903530231838357246417129235599200904516844792796123931176281428583983847
m: 100000000000000000000000000
c5: 13000
c0: 41
skew: 0.32
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 1675001)
Primes: RFBsize:78498, AFBsize:63689, largePrimes:1620424 encountered
Relations: rels:1639559, finalFF:180627
Max relations in full relation-set: 28
Initial matrix: 142254 x 180627 with sparse part having weight 17980539.
Pruned matrix : 131501 x 132276 with weight 11572853.
Total sieving time: 11.67 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.53 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,134,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 12.38 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

13×10138+419

c119

name 名前Sinkiti Sibata
date 日付March 13, 2008 13:49:40 UTC 2008 年 3 月 13 日 (木) 22 時 49 分 40 秒 (日本時間)
composite number 合成数
42790647543300868000531012460873380607706485262150894592544299144950220581224389005057327334131687329290331967382688003<119>
prime factors 素因数
39275505097585155078710771613618699661<38>
1089499611449474155941188972488893793360282827843797035637321410126382085780847823<82>
factorization results 素因数分解の結果
Number: 14449_138
N=42790647543300868000531012460873380607706485262150894592544299144950220581224389005057327334131687329290331967382688003
  ( 119 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=39275505097585155078710771613618699661 (pp38)
 r2=1089499611449474155941188972488893793360282827843797035637321410126382085780847823 (pp82)
Version: GGNFS-0.77.1-20060513-k8
Total time: 19.87 hours.
Scaled time: 39.73 units (timescale=1.999).
Factorization parameters were as follows:
name: 14449_138
n: 42790647543300868000531012460873380607706485262150894592544299144950220581224389005057327334131687329290331967382688003
m: 1000000000000000000000000000
c5: 13000
c0: 41
skew: 0.32
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 3175001)
Primes: RFBsize:78498, AFBsize:63689, largePrimes:1805783 encountered
Relations: rels:1896587, finalFF:166064
Max relations in full relation-set: 28
Initial matrix: 142254 x 166064 with sparse part having weight 21301289.
Pruned matrix : 137347 x 138122 with weight 16677403.
Total sieving time: 19.49 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.19 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,139,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 19.87 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
(上の枠に貼り付けた素因数分解ソフトウェアの出力結果に実行環境の情報が含まれていない場合は、

Core 2 Duo E6300 1.86GHz, Windows Vista)

13×10139+419

c136

name 名前Sinkiti Sibata
date 日付March 13, 2008 22:11:05 UTC 2008 年 3 月 14 日 (金) 7 時 11 分 5 秒 (日本時間)
composite number 合成数
1995916048700351588288578754241321603488247125113229852762808407412525140865613437120967865751615924339428553882056714722183839221285677<136>
prime factors 素因数
1080444914227488251714735602663923887<37>
310581946039662137936555730848539967041553081<45>
5947896926520727366907749778159525455328262786721888891<55>
factorization results 素因数分解の結果
Number: 14449_139
N=1995916048700351588288578754241321603488247125113229852762808407412525140865613437120967865751615924339428553882056714722183839221285677
  ( 136 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=1080444914227488251714735602663923887 (pp37)
 r2=310581946039662137936555730848539967041553081 (pp45)
 r3=5947896926520727366907749778159525455328262786721888891 (pp55)
Version: GGNFS-0.77.1-20060513-k8
Total time: 14.24 hours.
Scaled time: 28.50 units (timescale=2.001).
Factorization parameters were as follows:
name: 14449_139
n: 1995916048700351588288578754241321603488247125113229852762808407412525140865613437120967865751615924339428553882056714722183839221285677
m: 10000000000000000000000000000
c5: 13
c0: 410
skew: 1.99
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [650000, 2150001)
Primes: RFBsize:100021, AFBsize:100074, largePrimes:2804952 encountered
Relations: rels:2798715, finalFF:256766
Max relations in full relation-set: 28
Initial matrix: 200160 x 256766 with sparse part having weight 26772641.
Pruned matrix : 184200 x 185264 with weight 17454800.
Total sieving time: 13.62 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.42 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 14.24 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

13×10143+419

c124

name 名前Sinkiti Sibata
date 日付March 13, 2008 03:23:23 UTC 2008 年 3 月 13 日 (木) 12 時 23 分 23 秒 (日本時間)
composite number 合成数
7263411930756334431054815675240590460026383859273092312980615738433171499794833346952595861772049365179133319212109264595687<124>
prime factors 素因数
468058260349480289619458523204589<33>
4838491154143931941878764558030793391<37>
3207235198502778015162165152178878034108309665144891213<55>
factorization results 素因数分解の結果
Number: 14449_143
N=7263411930756334431054815675240590460026383859273092312980615738433171499794833346952595861772049365179133319212109264595687
  ( 124 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=468058260349480289619458523204589 (pp33)
 r2=4838491154143931941878764558030793391 (pp37)
 r3=3207235198502778015162165152178878034108309665144891213 (pp55)
Version: GGNFS-0.77.1-20060513-k8
Total time: 26.76 hours.
Scaled time: 53.26 units (timescale=1.990).
Factorization parameters were as follows:
name: 14449_143
n: 7263411930756334431054815675240590460026383859273092312980615738433171499794833346952595861772049365179133319212109264595687
m: 10000000000000000000000000000
c5: 13000
c0: 41
skew: 0.32
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [650000, 3750001)
Primes: RFBsize:100021, AFBsize:99689, largePrimes:3101893 encountered
Relations: rels:3216219, finalFF:250113
Max relations in full relation-set: 28
Initial matrix: 199777 x 250113 with sparse part having weight 32911341.
Pruned matrix : 187996 x 189058 with weight 23930321.
Total sieving time: 26.00 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 0.49 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,144,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 26.76 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

13×10144+419

c142

name 名前Sinkiti Sibata
date 日付March 14, 2008 22:15:31 UTC 2008 年 3 月 15 日 (土) 7 時 15 分 31 秒 (日本時間)
composite number 合成数
4260898066207800721075057358243198951163552933464437889216650278597181252048508685676827269747623729924614880367092756473287446738774172402491<142>
prime factors 素因数
383015513599750490805951630014399<33>
5624483396558590000322516765930782632188359<43>
1977890027058051288896753962852997307409954782630180176907476871251<67>
factorization results 素因数分解の結果
Number: 14449_144
N=4260898066207800721075057358243198951163552933464437889216650278597181252048508685676827269747623729924614880367092756473287446738774172402491
  ( 142 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=383015513599750490805951630014399 (pp33)
 r2=5624483396558590000322516765930782632188359 (pp43)
 r3=1977890027058051288896753962852997307409954782630180176907476871251 (pp67)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 29.36 hours.
Scaled time: 19.79 units (timescale=0.674).
Factorization parameters were as follows:
name: 14449_144
n: 4260898066207800721075057358243198951163552933464437889216650278597181252048508685676827269747623729924614880367092756473287446738774172402491
m: 100000000000000000000000000000
c5: 13
c0: 410
skew: 1.99
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [750000, 3550001)
Primes: RFBsize:114155, AFBsize:114263, largePrimes:2973559 encountered
Relations: rels:2997988, finalFF:273808
Max relations in full relation-set: 28
Initial matrix: 228483 x 273808 with sparse part having weight 31696103.
Pruned matrix : 215545 x 216751 with weight 23512675.
Total sieving time: 27.25 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 1.78 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 29.36 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

13×10146+419

c114

name 名前Jo Yeong Uk
date 日付March 12, 2008 07:08:09 UTC 2008 年 3 月 12 日 (水) 16 時 8 分 9 秒 (日本時間)
composite number 合成数
128432446860999287049550614446702435873351991609326522123349572970349339730767295398135273683258945917280586754669<114>
prime factors 素因数
77842537158874070251175271923<29>
1649900575553862884781770255109051972716668375312218449809275241329788226651058294303<85>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM]
Input number is 128432446860999287049550614446702435873351991609326522123349572970349339730767295398135273683258945917280586754669 (114 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1275334446
Step 1 took 5500ms
Step 2 took 3784ms
********** Factor found in step 2: 77842537158874070251175271923
Found probable prime factor of 29 digits: 77842537158874070251175271923
Probable prime cofactor 1649900575553862884781770255109051972716668375312218449809275241329788226651058294303 has 85 digits
execution environment 実行環境
Core 2 Quad Q6600

13×10149+419

c148

name 名前Sinkiti Sibata
date 日付March 14, 2008 12:32:07 UTC 2008 年 3 月 14 日 (金) 21 時 32 分 7 秒 (日本時間)
composite number 合成数
8496732026143790849673202614379084967320261437908496732026143790849673202614379084967320261437908496732026143790849673202614379084967320261437908497<148>
prime factors 素因数
137347660736329540541751855501034585413185542247087385476267638114996691<72>
61862954058280063245229953724726901319795857549507692379899427183521908512267<77>
factorization results 素因数分解の結果
Number: 14449_149
N=8496732026143790849673202614379084967320261437908496732026143790849673202614379084967320261437908496732026143790849673202614379084967320261437908497
  ( 148 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=137347660736329540541751855501034585413185542247087385476267638114996691 (pp72)
 r2=61862954058280063245229953724726901319795857549507692379899427183521908512267 (pp77)
Version: GGNFS-0.77.1-20060513-k8
Total time: 25.99 hours.
Scaled time: 50.86 units (timescale=1.957).
Factorization parameters were as follows:
name: 14449_149
n: 8496732026143790849673202614379084967320261437908496732026143790849673202614379084967320261437908496732026143790849673202614379084967320261437908497
m: 1000000000000000000000000000000
c5: 13
c0: 410
skew: 1.99
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 2100001)
Primes: RFBsize:176302, AFBsize:175984, largePrimes:5486687 encountered
Relations: rels:5319822, finalFF:408667
Max relations in full relation-set: 28
Initial matrix: 352351 x 408667 with sparse part having weight 36707080.
Pruned matrix : 328589 x 330414 with weight 26026219.
Total sieving time: 24.40 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 1.30 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 25.99 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

13×10150+419

c116

name 名前Sinkiti Sibata
date 日付March 26, 2008 22:10:50 UTC 2008 年 3 月 27 日 (木) 7 時 10 分 50 秒 (日本時間)
composite number 合成数
35498886930694068488696556445873016251270100374402327779600134140366575898525334967906326211481837444518708649953019<116>
prime factors 素因数
5273931011586111902421401925826174831<37>
6731010863188734060301094219283696900836548322318543641341967238597466709527349<79>
factorization results 素因数分解の結果
Number: 14449_150
N=35498886930694068488696556445873016251270100374402327779600134140366575898525334967906326211481837444518708649953019
  ( 116 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=5273931011586111902421401925826174831 (pp37)
 r2=6731010863188734060301094219283696900836548322318543641341967238597466709527349 (pp79)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 30.51 hours.
Scaled time: 20.60 units (timescale=0.675).
Factorization parameters were as follows:
name: 14449_150
n: 35498886930694068488696556445873016251270100374402327779600134140366575898525334967906326211481837444518708649953019
m: 1000000000000000000000000000000
c5: 13
c0: 41
skew: 1.26
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 2000001)
Primes: RFBsize:176302, AFBsize:175494, largePrimes:5501118 encountered
Relations: rels:5456438, finalFF:525614
Max relations in full relation-set: 28
Initial matrix: 351863 x 525614 with sparse part having weight 45683886.
Pruned matrix : 270724 x 272547 with weight 23014047.
Total sieving time: 27.43 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 2.73 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 30.51 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

13×10151+419

c131

name 名前Sinkiti Sibata
date 日付March 30, 2008 09:55:49 UTC 2008 年 3 月 30 日 (日) 18 時 55 分 49 秒 (日本時間)
composite number 合成数
83395598369139965832168475774983316304583398622039903708156716045086640578730352860276260120758099296926726038305105508796243567001<131>
prime factors 素因数
229099467826487034018759913891943497136975872769<48>
364014806146565362202173145442854541103475488915524144605594396975532850513975154329<84>
factorization results 素因数分解の結果
Number: 14449_151
N=83395598369139965832168475774983316304583398622039903708156716045086640578730352860276260120758099296926726038305105508796243567001
  ( 131 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=229099467826487034018759913891943497136975872769 (pp48)
 r2=364014806146565362202173145442854541103475488915524144605594396975532850513975154329 (pp84)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 44.48 hours.
Scaled time: 30.03 units (timescale=0.675).
Factorization parameters were as follows:
name: 14449_151
n: 83395598369139965832168475774983316304583398622039903708156716045086640578730352860276260120758099296926726038305105508796243567001
m: 1000000000000000000000000000000
c5: 130
c0: 41
skew: 0.79
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 2400001)
Primes: RFBsize:176302, AFBsize:175999, largePrimes:5654496 encountered
Relations: rels:5576359, finalFF:468391
Max relations in full relation-set: 28
Initial matrix: 352368 x 468391 with sparse part having weight 45018980.
Pruned matrix : 311238 x 313063 with weight 27264252.
Total sieving time: 39.99 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 4.07 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 44.48 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

13×10153+419

c124

name 名前Jo Yeong Uk
date 日付March 26, 2008 15:13:27 UTC 2008 年 3 月 27 日 (木) 0 時 13 分 27 秒 (日本時間)
composite number 合成数
6441790393481636167681455717217930089359769786440678435578407466998230206440351866658550195452745142800533270101709779963321<124>
prime factors 素因数
64509374281942124842464642137452130975431<41>
99858206116329719031014868769440016414121759112914631130939441108095968385953976191<83>
factorization results 素因数分解の結果
Number: 14449_153
N=6441790393481636167681455717217930089359769786440678435578407466998230206440351866658550195452745142800533270101709779963321
  ( 124 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=64509374281942124842464642137452130975431 (pp41)
 r2=99858206116329719031014868769440016414121759112914631130939441108095968385953976191 (pp83)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 25.95 hours.
Scaled time: 47.65 units (timescale=1.836).
Factorization parameters were as follows:
n: 6441790393481636167681455717217930089359769786440678435578407466998230206440351866658550195452745142800533270101709779963321
m: 10000000000000000000000000000000
c5: 13
c0: 4100
skew: 3.16
type: snfs
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1500000, 3100001)
Primes: RFBsize:216816, AFBsize:216987, largePrimes:5681241 encountered
Relations: rels:5609321, finalFF:505447
Max relations in full relation-set: 28
Initial matrix: 433870 x 505447 with sparse part having weight 43815349.
Pruned matrix : 402967 x 405200 with weight 31494206.
Total sieving time: 24.96 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.86 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 25.95 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 8178324k/8912896k available (2439k kernel code, 208016k reserved, 1234k data, 192k init)
Calibrating delay using timer specific routine.. 4812.92 BogoMIPS (lpj=2406460)
Calibrating delay using timer specific routine.. 4810.27 BogoMIPS (lpj=2405136)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405131)
execution environment 実行環境
Core 2 Quad Q6600

13×10155+419

c150

name 名前Robert Backstrom
date 日付March 28, 2008 08:50:32 UTC 2008 年 3 月 28 日 (金) 17 時 50 分 32 秒 (日本時間)
composite number 合成数
121416270359290357390659745192079138751431661272515363127578519668548525460104621598254669132724514794899433238189675937172497122667885312432549759423<150>
prime factors 素因数
454914555226406458961012387411117835014677<42>
266899067010205212556633241991383306589388963910132941966984708011973578478898221181824191297352863936423299<108>
factorization results 素因数分解の結果
Number: n
N=121416270359290357390659745192079138751431661272515363127578519668548525460104621598254669132724514794899433238189675937172497122667885312432549759423
  ( 150 digits)
SNFS difficulty: 156 digits.
Divisors found:

Fri Mar 28 14:54:39 2008  prp42 factor: 454914555226406458961012387411117835014677
Fri Mar 28 14:54:39 2008  prp108 factor: 266899067010205212556633241991383306589388963910132941966984708011973578478898221181824191297352863936423299
Fri Mar 28 14:54:39 2008  elapsed time 00:26:12 (Msieve 1.33)

Version: GGNFS-0.77.1-20051202-k8
Total time: 19.04 hours.
Scaled time: 15.96 units (timescale=0.838).
Factorization parameters were as follows:
name: KA_1_4_154_9
n: 121416270359290357390659745192079138751431661272515363127578519668548525460104621598254669132724514794899433238189675937172497122667885312432549759423
type: snfs
deg: 5
c5: 13
c0: 41
skew: 1.26
m: 10000000000000000000000000000000
rlim: 2400000
alim: 2400000
lbpr: 28
lbpa: 28
mbpr: 48
mbpa: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1200001)
Primes: RFBsize:176302, AFBsize:175494, largePrimes:5415952 encountered
Relations: rels:5271524, finalFF:461511
Max relations in full relation-set: 28
Initial matrix: 351863 x 461511 with sparse part having weight 38322948.
Pruned matrix : 274203 x 276026 with weight 22148987.
Total sieving time: 18.13 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.77 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.5,2.5,100000
total time: 19.04 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656)
Total of 2 processors activated (11993.08 BogoMIPS).

13×10156+419

c138

name 名前Jo Yeong Uk
date 日付March 14, 2008 08:37:47 UTC 2008 年 3 月 14 日 (金) 17 時 37 分 47 秒 (日本時間)
composite number 合成数
169794461125561893541938362239634949248439577722682057946496237412965703649459048888782942324108290053842122707174534378963383194044580409<138>
prime factors 素因数
78240352765175835206467754968382924481389<41>
composite cofactor 合成数の残り
2170164820641453841771054721472954317615265554044202740819058596701382825101488628052277538541181<97>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM]
Input number is 169794461125561893541938362239634949248439577722682057946496237412965703649459048888782942324108290053842122707174534378963383194044580409 (138 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=445267077
Step 1 took 7141ms
Step 2 took 4358ms
********** Factor found in step 2: 78240352765175835206467754968382924481389
Found probable prime factor of 41 digits: 78240352765175835206467754968382924481389
Composite cofactor 2170164820641453841771054721472954317615265554044202740819058596701382825101488628052277538541181 has 97 digits
execution environment 実行環境
Core 2 Quad Q6600

c97

name 名前Jo Yeong Uk
date 日付March 15, 2008 15:00:15 UTC 2008 年 3 月 16 日 (日) 0 時 0 分 15 秒 (日本時間)
composite number 合成数
2170164820641453841771054721472954317615265554044202740819058596701382825101488628052277538541181<97>
prime factors 素因数
56811743013055887298662901382398663<35>
38199229693458428198506848714264339346199481273611746416402587<62>
factorization results 素因数分解の結果
Number: 14449_156
N=2170164820641453841771054721472954317615265554044202740819058596701382825101488628052277538541181
  ( 97 digits)
Divisors found:
 r1=56811743013055887298662901382398663 (pp35)
 r2=38199229693458428198506848714264339346199481273611746416402587 (pp62)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 5.13 hours.
Scaled time: 9.54 units (timescale=1.859).
Factorization parameters were as follows:
name: 14449_156
n:  2170164820641453841771054721472954317615265554044202740819058596701382825101488628052277538541181
m:  1296386468790859477
deg: 5
c5: 592680
c4: 2039452145
c3: -70890504460049
c2: -17771658792168670
c1: 66587067320650168689
c0: 30394714584259330224570
skew: 1379.250
type: gnfs
# adj. I(F,S) = 47.320
# E(F1,F2) = 4.478483e-03
# GGNFS version 0.77.1-20050930-nocona polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=58.00000000, seed=1205573568.
# maxskew=1500.0
# These parameters should be manually set:
rlim: 1300000
alim: 1300000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000

type: gnfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [650000, 1450001)
Primes: RFBsize:100021, AFBsize:99767, largePrimes:3951704 encountered
Relations: rels:3905347, finalFF:266868
Max relations in full relation-set: 28
Initial matrix: 199871 x 266868 with sparse part having weight 26369457.
Pruned matrix : 169463 x 170526 with weight 14580729.
Polynomial selection time: 0.28 hours.
Total sieving time: 4.61 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
gnfs,96,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1300000,1300000,26,26,48,48,2.5,2.5,50000
total time: 5.13 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 8178324k/8912896k available (2439k kernel code, 208016k reserved, 1234k data, 192k init)
Calibrating delay using timer specific routine.. 4812.91 BogoMIPS (lpj=2406459)
Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405110)
Calibrating delay using timer specific routine.. 4809.52 BogoMIPS (lpj=2404760)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405116)
execution environment 実行環境
Core 2 Quad Q6600

13×10157+419

c154

name 名前Robert Backstrom
date 日付March 28, 2008 08:57:33 UTC 2008 年 3 月 28 日 (金) 17 時 57 分 33 秒 (日本時間)
composite number 合成数
3155875998349234093171169858956618843007307066734639380477265554827276479013424610977593280411720437938484694001408006214648119826184060398611414560726337<154>
prime factors 素因数
554967349862577519760631952619203509296695751946839<51>
5686597597373431858875045737803935242817252645892081260193915454685731257129233895079087021649744633383<103>
factorization results 素因数分解の結果
Number: n
N=3155875998349234093171169858956618843007307066734639380477265554827276479013424610977593280411720437938484694001408006214648119826184060398611414560726337
  ( 154 digits)
SNFS difficulty: 158 digits.
Divisors found:

Fri Mar 28 15:13:48 2008  prp51 factor: 554967349862577519760631952619203509296695751946839
Fri Mar 28 15:13:48 2008  prp103 factor: 5686597597373431858875045737803935242817252645892081260193915454685731257129233895079087021649744633383
Fri Mar 28 15:13:48 2008  elapsed time 00:45:02 (Msieve 1.33)

Version: GGNFS-0.77.1-20051202-k8
Total time: 28.18 hours.
Scaled time: 23.73 units (timescale=0.842).
Factorization parameters were as follows:
name: KA_1_4_156_9
n: 3155875998349234093171169858956618843007307066734639380477265554827276479013424610977593280411720437938484694001408006214648119826184060398611414560726337
type: snfs
deg: 5
c5: 1300
c0: 41
skew: 0.50
m: 10000000000000000000000000000000
rlim: 2800000
alim: 2800000
lbpr: 28
lbpa: 28
mbpr: 48
mbpa: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1700001)
Primes: RFBsize:203362, AFBsize:203738, largePrimes:5556469 encountered
Relations: rels:5457604, finalFF:504339
Max relations in full relation-set: 28
Initial matrix: 407167 x 504339 with sparse part having weight 41011748.
Pruned matrix : 336332 x 338431 with weight 25630672.
Total sieving time: 26.88 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.14 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,48,48,2.5,2.5,100000
total time: 28.18 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656)
Total of 2 processors activated (11993.08 BogoMIPS).

13×10158+419

c136

name 名前Jo Yeong Uk
date 日付March 28, 2008 01:43:29 UTC 2008 年 3 月 28 日 (金) 10 時 43 分 29 秒 (日本時間)
composite number 合成数
2627792935900529823600728141082774214194696712267598876097811277856833048373726072482011878352451161589375769614853730389213107897394401<136>
prime factors 素因数
16799381951211795792021653942974259<35>
95310855936913632436908778587893374381<38>
1641177169129370612168524976686946831629697557566826514744860519<64>
factorization results 素因数分解の結果
Number: 14449_158
N=2627792935900529823600728141082774214194696712267598876097811277856833048373726072482011878352451161589375769614853730389213107897394401
  ( 136 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=16799381951211795792021653942974259 (pp35)
 r2=95310855936913632436908778587893374381 (pp38)
 r3=1641177169129370612168524976686946831629697557566826514744860519 (pp64)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 45.46 hours.
Scaled time: 84.51 units (timescale=1.859).
Factorization parameters were as follows:
n: 2627792935900529823600728141082774214194696712267598876097811277856833048373726072482011878352451161589375769614853730389213107897394401
m: 100000000000000000000000000000000
c5: 13
c0: 4100
skew: 3.16
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 4700001)
Primes: RFBsize:283146, AFBsize:283233, largePrimes:5900455 encountered
Relations: rels:5998416, finalFF:691121
Max relations in full relation-set: 28
Initial matrix: 566446 x 691121 with sparse part having weight 57637285.
Pruned matrix : 482715 x 485611 with weight 41998325.
Total sieving time: 43.81 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.49 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 45.46 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 8178324k/8912896k available (2439k kernel code, 208016k reserved, 1234k data, 192k init)
Calibrating delay using timer specific routine.. 4812.92 BogoMIPS (lpj=2406460)
Calibrating delay using timer specific routine.. 4810.27 BogoMIPS (lpj=2405136)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405131)
execution environment 実行環境
Core 2 Quad Q6600

13×10159+419

c158

name 名前Robert Backstrom
date 日付March 14, 2008 23:48:24 UTC 2008 年 3 月 15 日 (土) 8 時 48 分 24 秒 (日本時間)
composite number 合成数
68783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783069<158>
prime factors 素因数
323994497004687485543951803426936081<36>
212297027940180242688781043672877820471173117695010579301262769776723616074689965201258808111992813367497457405314499547149<123>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.1] [ECM]
Input number is 68783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783069 (158 digits)
Using B1=404000, B2=258309880, polynomial Dickson(3), sigma=3153970276
Step 1 took 5276ms
Step 2 took 2405ms
********** Factor found in step 2: 323994497004687485543951803426936081
Found probable prime factor of 36 digits: 323994497004687485543951803426936081
Probable prime cofactor 212297027940180242688781043672877820471173117695010579301262769776723616074689965201258808111992813367497457405314499547149 has 123 digits

13×10160+419

c118

name 名前Sinkiti Sibata
date 日付April 2, 2008 22:08:05 UTC 2008 年 4 月 3 日 (木) 7 時 8 分 5 秒 (日本時間)
composite number 合成数
1461773445451219721817054132646300865765733841567085507878396932965774862914627039808990861227821796075443086622176709<118>
prime factors 素因数
58318421562202336729024884964580815360748989<44>
25065380822971939726203162891930045767767595089719334854800459231611917481<74>
factorization results 素因数分解の結果
Number: 14449_160
N=1461773445451219721817054132646300865765733841567085507878396932965774862914627039808990861227821796075443086622176709
  ( 118 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=58318421562202336729024884964580815360748989 (pp44)
 r2=25065380822971939726203162891930045767767595089719334854800459231611917481 (pp74)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 78.30 hours.
Scaled time: 52.85 units (timescale=0.675).
Factorization parameters were as follows:
name: 14449_160
n: 1461773445451219721817054132646300865765733841567085507878396932965774862914627039808990861227821796075443086622176709
m: 100000000000000000000000000000000
c5: 13
c0: 41
skew: 1.26
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 3900001)
Primes: RFBsize:283146, AFBsize:282373, largePrimes:5738534 encountered
Relations: rels:5817356, finalFF:694775
Max relations in full relation-set: 28
Initial matrix: 565586 x 694775 with sparse part having weight 46693987.
Pruned matrix : 469450 x 472341 with weight 31381838.
Total sieving time: 68.01 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 9.75 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 78.30 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境

Pentium 4 2.4GHz, Windows XP and Cygwin)

13×10164+419

c159

name 名前Robert Backstrom
date 日付March 16, 2008 22:51:52 UTC 2008 年 3 月 17 日 (月) 7 時 51 分 52 秒 (日本時間)
composite number 合成数
131042587933860588225984757327775514773086150723773413656391617346772657943867201844595788553308981588415593301868999950506222557288039370031910886201709420319<159>
prime factors 素因数
310858280205973042295350064207669674079891<42>
421550900452233303155039018641729142102897981293204893760745450029677022449219253781047183543781801689390473334874309<117>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.1] [ECM]
Input number is 131042587933860588225984757327775514773086150723773413656391617346772657943867201844595788553308981588415593301868999950506222557288039370031910886201709420319 (159 digits)
Using B1=2924000, B2=4281671950, polynomial Dickson(6), sigma=2470071760
Step 1 took 38360ms
Step 2 took 14118ms
********** Factor found in step 2: 310858280205973042295350064207669674079891
Found probable prime factor of 42 digits: 310858280205973042295350064207669674079891
Probable prime cofactor 421550900452233303155039018641729142102897981293204893760745450029677022449219253781047183543781801689390473334874309 has 117 digits

13×10165+419

c158

name 名前Robert Backstrom
date 日付March 31, 2008 19:49:32 UTC 2008 年 4 月 1 日 (火) 4 時 49 分 32 秒 (日本時間)
composite number 合成数
88502370444086037075644494174607184441343185226590678803718360377036709305951407936896666150425531991663267324657282569707990036893302379561191767746415328921<158>
prime factors 素因数
16314950226194202535821847388584579<35>
5424617863803991143762455161408372822546229535063185548695922017790727738160207197999393097074876903892876721001455128856499<124>
factorization results 素因数分解の結果
GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 88502370444086037075644494174607184441343185226590678803718360377036709305951407936896666150425531991663267324657282569707990036893302379561191767746415328921 (158 digits)
Using B1=3448000, B2=4897649863, polynomial Dickson(6), sigma=1054026771
Step 1 took 54953ms
Step 2 took 29031ms
********** Factor found in step 2: 16314950226194202535821847388584579
Found probable prime factor of 35 digits: 16314950226194202535821847388584579
Probable prime cofactor 5424617863803991143762455161408372822546229535063185548695922017790727738160207197999393097074876903892876721001455128856499 has 124 digits

13×10166+419

c135

name 名前Sinkiti Sibata
date 日付September 25, 2008 22:13:29 UTC 2008 年 9 月 26 日 (金) 7 時 13 分 29 秒 (日本時間)
composite number 合成数
202461533500216725433746524290492280498300806327822604511062313669686113177108949960264126600183931185734180294575384666460492157130007<135>
prime factors 素因数
34142122029434846349176131188868061554306868171903<50>
5929963384398578517109566018319591899379255541236213307569733895313595568330293252969<85>
factorization results 素因数分解の結果
Number: 14449_166
N=202461533500216725433746524290492280498300806327822604511062313669686113177108949960264126600183931185734180294575384666460492157130007
  ( 135 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=34142122029434846349176131188868061554306868171903 (pp50)
 r2=5929963384398578517109566018319591899379255541236213307569733895313595568330293252969 (pp85)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 124.34 hours.
Scaled time: 125.46 units (timescale=1.009).
Factorization parameters were as follows:
name: 14449_166
n: 202461533500216725433746524290492280498300806327822604511062313669686113177108949960264126600183931185734180294575384666460492157130007
m: 1000000000000000000000000000000000
c5: 130
c0: 41
skew: 0.79
type: snfs
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2750000, 7250001)
Primes: RFBsize:380800, AFBsize:379893, largePrimes:6183848 encountered
Relations: rels:6450049, finalFF:907035
Max relations in full relation-set: 28
Initial matrix: 760760 x 907035 with sparse part having weight 68399919.
Pruned matrix : 645283 x 649150 with weight 50746737.
Total sieving time: 120.50 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 3.61 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,48,48,2.6,2.6,100000
total time: 124.34 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMarch 12, 2008 09:00:00 UTC 2008 年 3 月 12 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6904Jo Yeong UkJuly 24, 2008 07:49:28 UTC 2008 年 7 月 24 日 (木) 16 時 49 分 28 秒 (日本時間)
403e668 / 2089Jo Yeong UkJuly 24, 2008 07:49:33 UTC 2008 年 7 月 24 日 (木) 16 時 49 分 33 秒 (日本時間)

13×10167+419

c140

name 名前Serge Batalov
date 日付September 22, 2008 18:33:32 UTC 2008 年 9 月 23 日 (火) 3 時 33 分 32 秒 (日本時間)
composite number 合成数
10575488153714185091397046009582798434739843055341525642692804920734214201457798874370694763287755300109417664211267870586842810176122243269<140>
prime factors 素因数
255495494090934243398138407064825919513157133359958105353597<60>
41392073043566976748716370443946057031311344967750540425260269537821998787807977<80>
factorization results 素因数分解の結果
SNFS difficulty: 168 digits.
Divisors found:
 r1=255495494090934243398138407064825919513157133359958105353597
 r2=41392073043566976748716370443946057031311344967750540425260269537821998787807977
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.729).
Factorization parameters were as follows:
n: 10575488153714185091397046009582798434739843055341525642692804920734214201457798874370694763287755300109417664211267870586842810176122243269
Y1: 1
Y0: -1000000000000000000000000000000000
c5: 1300
c0: 41
skew: 0.5
type: snfs
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [2750000, 5050001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1009651 x 1009899
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 4.00 hours.
Time per square root: 0.30 hours * 3
Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,54,54,2.6,2.6,100000
total time: 39.00 hours.
software ソフトウェア
Msieve-1.37
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMarch 12, 2008 09:00:00 UTC 2008 年 3 月 12 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6904Jo Yeong UkJuly 24, 2008 07:53:48 UTC 2008 年 7 月 24 日 (木) 16 時 53 分 48 秒 (日本時間)

13×10170+419

c149

name 名前Robert Backstrom
date 日付May 21, 2009 04:19:47 UTC 2009 年 5 月 21 日 (木) 13 時 19 分 47 秒 (日本時間)
composite number 合成数
24048997507612287288102100750520634911112589018110209838926532782366722172082602334303006601667608485021999452619553254832970652887124101622504606671<149>
prime factors 素因数
1575121672855345298238023360609906942627058819383<49>
15268025271988546201862798038998621247627449241812295699219585367782233836956990474049954794008106537<101>
factorization results 素因数分解の結果
Number: n
N=24048997507612287288102100750520634911112589018110209838926532782366722172082602334303006601667608485021999452619553254832970652887124101622504606671
  ( 149 digits)
SNFS difficulty: 171 digits.
Divisors found:

Thu May 21 14:11:46 2009  prp49 factor: 1575121672855345298238023360609906942627058819383
Thu May 21 14:11:46 2009  prp101 factor: 15268025271988546201862798038998621247627449241812295699219585367782233836956990474049954794008106537
Thu May 21 14:11:46 2009  elapsed time 01:23:14 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 41.94 hours.
Scaled time: 111.09 units (timescale=2.649).
Factorization parameters were as follows:
name: KA_1_4_169_9
n: 24048997507612287288102100750520634911112589018110209838926532782366722172082602334303006601667608485021999452619553254832970652887124101622504606671
m: 10000000000000000000000000000000000
deg: 5
c5: 13
c0: 41
skew: 1.26
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2500000, 4812883)
Primes: RFBsize:348513, AFBsize:347692, largePrimes:16399716 encountered
Relations: rels:15549600, finalFF:675814
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1579804 hash collisions in 16873984 relations
Msieve: matrix is 902266 x 902514 (242.4 MB)

Total sieving time: 41.36 hours.
Total relation processing time: 0.58 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5000000,5000000,28,28,56,56,2.4,2.4,100000
total time: 41.94 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
3025e4430Makoto KamadaMarch 12, 2008 09:00:00 UTC 2008 年 3 月 12 日 (水) 18 時 0 分 0 秒 (日本時間)

13×10171+419

c132

name 名前Sinkiti Sibata
date 日付February 14, 2010 23:12:58 UTC 2010 年 2 月 15 日 (月) 8 時 12 分 58 秒 (日本時間)
composite number 合成数
774029738669250031608933254896552177813047446172350098757514322157903516750646056090132560847002615409462496574201498820913333904199<132>
prime factors 素因数
56874257666096123864888809577242030100639609350149857<53>
13609491717914140848205143113747911831822601242187071037687299026972632686413607<80>
factorization results 素因数分解の結果
Number: 14449_171
N=774029738669250031608933254896552177813047446172350098757514322157903516750646056090132560847002615409462496574201498820913333904199
  ( 132 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=56874257666096123864888809577242030100639609350149857 (pp53)
 r2=13609491717914140848205143113747911831822601242187071037687299026972632686413607 (pp80)
Version: Msieve-1.40
Total time: 85.54 hours.
Scaled time: 278.36 units (timescale=3.254).
Factorization parameters were as follows:
name: 14449_171
n: 774029738669250031608933254896552177813047446172350098757514322157903516750646056090132560847002615409462496574201498820913333904199
m: 10000000000000000000000000000000000
deg: 5
c5: 130
c0: 41
skew: 0.79
type: snfs
lss: 1
rlim: 5200000
alim: 5200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2600000, 6300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1046762 x 1047008
Total sieving time: 83.20 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 2.15 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,172.000,5,0,0,0,0,0,0,0,0,5200000,5200000,27,27,52,52,2.4,2.4,100000
total time: 85.54 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
3025e4430Makoto KamadaMarch 12, 2008 09:00:00 UTC 2008 年 3 月 12 日 (水) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiAugust 1, 2009 05:03:34 UTC 2009 年 8 月 1 日 (土) 14 時 3 分 34 秒 (日本時間)

13×10172+419

c169

name 名前Robert Backstrom
date 日付June 27, 2008 07:07:33 UTC 2008 年 6 月 27 日 (金) 16 時 7 分 33 秒 (日本時間)
composite number 合成数
4072298969395106976161388340694796854932180559471227641512389186479967421608244839144190708893274441625160542555524230178867900886508160260627134041286846474328853804467<169>
prime factors 素因数
695174701333859421685033528060504335793719122110800973735698497489652426318743<78>
5857950471415925447371678650915658511220611799017059207971764941934442613310213419314598469<91>
factorization results 素因数分解の結果
Number: n
N=4072298969395106976161388340694796854932180559471227641512389186479967421608244839144190708893274441625160542555524230178867900886508160260627134041286846474328853804467
  ( 169 digits)
SNFS difficulty: 173 digits.
Divisors found:

Thu Jun 26 22:17:23 2008  prp78 factor: 695174701333859421685033528060504335793719122110800973735698497489652426318743
Thu Jun 26 22:17:23 2008  prp91 factor: 5857950471415925447371678650915658511220611799017059207971764941934442613310213419314598469
Thu Jun 26 22:17:23 2008  elapsed time 01:59:04 (Msieve 1.34)

Version: GGNFS-0.77.1-20050930-k8
Total time: 136.56 hours.
Scaled time: 114.43 units (timescale=0.838).
Factorization parameters were as follows:
name: KA_1_4_171_9
n: 4072298969395106976161388340694796854932180559471227641512389186479967421608244839144190708893274441625160542555524230178867900886508160260627134041286846474328853804467
type: snfs
deg: 5
c5: 1300
c0: 41
skew: 0.50
m: 10000000000000000000000000000000000
rlim: 6500000
alim: 6500000
lbpr: 28
lbpa: 28
mbpr: 48
mbpa: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved  special-q in [100000, 6800177)
Primes: RFBsize:444757, AFBsize:445323, largePrimes:6021958 encountered
Relations: rels:6219222, finalFF:891387
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 136.26 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,6500000,6500000,27,27,48,48,2.5,2.5,100000
total time: 136.56 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656)
Total of 2 processors activated (11993.08 BogoMIPS).

13×10173+419

c154

name 名前Robert Backstrom
date 日付June 14, 2010 08:12:46 UTC 2010 年 6 月 14 日 (月) 17 時 12 分 46 秒 (日本時間)
composite number 合成数
3962563318413590005248546632864346553398392921473015330911482143795495460965165783984676426465497376580887139760186113578083724670726182370284960242518103<154>
prime factors 素因数
1259393222365867249227652686667179254569386231818978490719245066677017129<73>
3146406736229379855843742856971204695993038962881919640202224215565401362024455807<82>
factorization results 素因数分解の結果
Number: n
N=3962563318413590005248546632864346553398392921473015330911482143795495460965165783984676426465497376580887139760186113578083724670726182370284960242518103
  ( 154 digits)
SNFS difficulty: 174 digits.
Divisors found:

Mon Jun 14 14:37:15 2010  prp73 factor: 1259393222365867249227652686667179254569386231818978490719245066677017129
Mon Jun 14 14:37:15 2010  prp82 factor: 3146406736229379855843742856971204695993038962881919640202224215565401362024455807
Mon Jun 14 14:37:15 2010  elapsed time 02:22:50 (Msieve 1.42 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=0.880).
Factorization parameters were as follows:
name: KA_1_4_172_9
n: 3962563318413590005248546632864346553398392921473015330911482143795495460965165783984676426465497376580887139760186113578083724670726182370284960242518103
m: 10000000000000000000000000000000000
deg: 5
c5: 13000
c0: 41
skew: 0.32
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 12200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1824548 hash collisions in 12775045 relations
Msieve: matrix is 1014053 x 1014278 (287.3 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,174,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2034148k/2097088k available (3972k kernel code, 388k absent, 62552k reserved, 2498k data, 1292k init)
VBoxDrv: dbg - g_abExecMemory=ffffffffa02c4440
Calibrating delay loop (skipped), value calculated using timer frequency.. 6026.43 BogoMIPS (lpj=3013215)
Calibrating delay using timer specific routine.. 6026.96 BogoMIPS (lpj=3013483)
Total of 2 processors activated (12053.39 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMarch 12, 2008 09:00:00 UTC 2008 年 3 月 12 日 (水) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61200500Erik BrangerDecember 21, 2009 06:19:22 UTC 2009 年 12 月 21 日 (月) 15 時 19 分 22 秒 (日本時間)
700Ignacio SantosMay 28, 2010 14:24:32 UTC 2010 年 5 月 28 日 (金) 23 時 24 分 32 秒 (日本時間)
4511e6199 / 4021Ignacio SantosMay 28, 2010 14:24:32 UTC 2010 年 5 月 28 日 (金) 23 時 24 分 32 秒 (日本時間)
5043e655 / 7463Ignacio SantosMay 28, 2010 14:24:32 UTC 2010 年 5 月 28 日 (金) 23 時 24 分 32 秒 (日本時間)

13×10176+419

c177

name 名前Jo Yeong Uk
date 日付March 24, 2008 04:44:50 UTC 2008 年 3 月 24 日 (月) 13 時 44 分 50 秒 (日本時間)
composite number 合成数
144444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449<177>
prime factors 素因数
27808173143646712634660391407710352012010711814864118729595098669<65>
5194316206904279433881048138938401523659364545671879176946965575026753080885093603550898063065486182518914359621<112>
factorization results 素因数分解の結果
Number: 14449_176
N=144444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449
  ( 177 digits)
SNFS difficulty: 177 digits.
Divisors found:
 r1=27808173143646712634660391407710352012010711814864118729595098669 (pp65)
 r2=5194316206904279433881048138938401523659364545671879176946965575026753080885093603550898063065486182518914359621 (pp112)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 204.63 hours.
Scaled time: 380.21 units (timescale=1.858).
Factorization parameters were as follows:
n: 144444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449
m: 100000000000000000000000000000000000
c5: 130
c0: 41
skew: 0.79
type: snfs
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 50/50
Sieved algebraic special-q in [4500000, 7900001)
Primes: RFBsize:602489, AFBsize:600866, largePrimes:10966505 encountered
Relations: rels:11138115, finalFF:1368651
Max relations in full relation-set: 28
Initial matrix: 1203422 x 1368651 with sparse part having weight 91983625.
Pruned matrix : 1058351 x 1064432 with weight 64848531.
Total sieving time: 196.42 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 7.84 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,50,50,2.6,2.6,100000
total time: 204.63 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 8178324k/8912896k available (2439k kernel code, 208016k reserved, 1234k data, 192k init)
Calibrating delay using timer specific routine.. 4812.91 BogoMIPS (lpj=2406459)
Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405110)
Calibrating delay using timer specific routine.. 4809.52 BogoMIPS (lpj=2404760)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405116)
execution environment 実行環境
Core 2 Quad Q6600

13×10177+419

c121

name 名前Robert Backstrom
date 日付April 2, 2008 12:30:53 UTC 2008 年 4 月 2 日 (水) 21 時 30 分 53 秒 (日本時間)
composite number 合成数
2331504589893796279348564142093932683605454334527722453443460981629487042225548795923630613258832749184138924769283434053<121>
prime factors 素因数
332959311000289726554119341499581353472911353<45>
7002370898982811465985212519192627896899356817719697064270507631837030185901<76>
factorization results 素因数分解の結果
GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 2331504589893796279348564142093932683605454334527722453443460981629487042225548795923630613258832749184138924769283434053 (121 digits)
Using B1=7318000, B2=14310592011, polynomial Dickson(12), sigma=2046770327
Step 1 took 60007ms
Step 2 took 27665ms
********** Factor found in step 2: 332959311000289726554119341499581353472911353
Found probable prime factor of 45 digits: 332959311000289726554119341499581353472911353
Probable prime cofactor 7002370898982811465985212519192627896899356817719697064270507631837030185901 has 76 digits

13×10179+419

c148

name 名前Serge Batalov
date 日付September 22, 2008 18:20:46 UTC 2008 年 9 月 23 日 (火) 3 時 20 分 46 秒 (日本時間)
composite number 合成数
1897571261229791071265337223016873491309474224806046562845578376795790634345445362472514702627439288498153887122771516474451607809237861637030102177<148>
prime factors 素因数
46992713266751930707073011577<29>
composite cofactor 合成数の残り
40380117029172520674769513188321069808478594187938313449637188262684915551986256553904977186681940701330222198933277801<119>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=843826318
Step 1 took 14245ms
Step 2 took 12917ms
********** Factor found in step 2: 46992713266751930707073011577
Found probable prime factor of 29 digits: 46992713266751930707073011577
Composite cofactor 40380117029172520674769513188321069808478594187938313449637188262684915551986256553904977186681940701330222198933277801 has 119 digits
software ソフトウェア
GMP-ECM 6.2.1

c119

name 名前Jo Yeong Uk
date 日付September 28, 2008 02:00:44 UTC 2008 年 9 月 28 日 (日) 11 時 0 分 44 秒 (日本時間)
composite number 合成数
40380117029172520674769513188321069808478594187938313449637188262684915551986256553904977186681940701330222198933277801<119>
prime factors 素因数
30311897398836633926595718252104305336929992466250467<53>
1332154054820807868883060706294827597729163358841002375824024699203<67>
factorization results 素因数分解の結果
Number: 14449_179
N=40380117029172520674769513188321069808478594187938313449637188262684915551986256553904977186681940701330222198933277801
  ( 119 digits)
Divisors found:
 r1=30311897398836633926595718252104305336929992466250467 (pp53)
 r2=1332154054820807868883060706294827597729163358841002375824024699203 (pp67)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 34.61 hours.
Scaled time: 82.51 units (timescale=2.384).
Factorization parameters were as follows:
name: 14449_179
n: 40380117029172520674769513188321069808478594187938313449637188262684915551986256553904977186681940701330222198933277801
skew: 59519.84
# norm 5.30e+16
c5: 90180
c4: 37114906902
c3: -1064109571462834
c2: -114583571740201368031
c1: 1888116932644638843692268
c0: 14072364541878315912665194068
# alpha -6.66
Y1: 10050004274557
Y0: -53728508162727730627147
# Murphy_E 3.17e-10
# M 1546977283922582777487438798546142938538458754200649131652727350868351272901527820115965843604045265077433363727393309
type: gnfs
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 75000
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [2100000, 4050001)
Primes: RFBsize:296314, AFBsize:295837, largePrimes:7735710 encountered
Relations: rels:7843064, finalFF:755394
Max relations in full relation-set: 28
Initial matrix: 592232 x 755394 with sparse part having weight 67118714.
Pruned matrix : 463583 x 466608 with weight 42170854.
Polynomial selection time: 2.29 hours.
Total sieving time: 30.40 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.64 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
gnfs,118,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4200000,4200000,27,27,50,50,2.4,2.4,75000
total time: 34.61 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: 8047092k/8912896k available (2460k kernel code, 339200k reserved, 1251k data, 196k init)
Calibrating delay using timer specific routine.. 5347.61 BogoMIPS (lpj=2673805)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672343)
Calibrating delay using timer specific routine.. 5344.63 BogoMIPS (lpj=2672318)
Calibrating delay using timer specific routine.. 5344.71 BogoMIPS (lpj=2672355)
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
3025e4430Makoto KamadaMarch 12, 2008 09:00:00 UTC 2008 年 3 月 12 日 (水) 18 時 0 分 0 秒 (日本時間)

13×10180+419

c163

name 名前matsui
date 日付September 18, 2010 06:10:54 UTC 2010 年 9 月 18 日 (土) 15 時 10 分 54 秒 (日本時間)
composite number 合成数
4492543934869540019428843712977791742979867876516741794331205232602592621457912203541975748436858862233106863400935246039832163958607926182276745290133082167464457<163>
prime factors 素因数
485753712074881400256208382619505617900498505243549286511659521<63>
9248604433056790658278644231334037072983249191975038056027599392140417506135791754944559349068740617<100>
factorization results 素因数分解の結果
N=4492543934869540019428843712977791742979867876516741794331205232602592621457912203541975748436858862233106863400935246039832163958607926182276745290133082167464457
  ( 163 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=485753712074881400256208382619505617900498505243549286511659521 (pp63)
 r2=9248604433056790658278644231334037072983249191975038056027599392140417506135791754944559349068740617 (pp100)
Version: Msieve v. 1.47
Total time:
Scaled time: 8.95 units (timescale=1.241).
Factorization parameters were as follows:
n: 4492543934869540019428843712977791742979867876516741794331205232602592621457912203541975748436858862233106863400935246039832163958607926182276745290133082167464457
m: 1000000000000000000000000000000000000
deg: 5
c5: 13
c0: 41
skew: 1.26
type: snfs
lss: 1
rlim: 7300000
alim: 7300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7300000/7300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3650000, 8450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1468226 x 1468457
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7300000,7300000,28,28,53,53,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMarch 12, 2008 09:00:00 UTC 2008 年 3 月 12 日 (水) 18 時 0 分 0 秒 (日本時間)

13×10181+419

c179

name 名前Wataru Sakai
date 日付November 24, 2008 04:01:44 UTC 2008 年 11 月 24 日 (月) 13 時 1 分 44 秒 (日本時間)
composite number 合成数
44719642242862057103543171654626762985896112831097351221190230478156174750601995184038527691778465772273821809425524595803233574131406948744410044719642242862057103543171654626763<179>
prime factors 素因数
27562524394914669598711172166617269924884888204961<50>
1622479915196479736876798893912635377625993367732178502949268365993143847383362621642915177047839771381675513828189657496747215083<130>
factorization results 素因数分解の結果
Number: 14449_181
N=44719642242862057103543171654626762985896112831097351221190230478156174750601995184038527691778465772273821809425524595803233574131406948744410044719642242862057103543171654626763
  ( 179 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=27562524394914669598711172166617269924884888204961 (pp50)
 r2=1622479915196479736876798893912635377625993367732178502949268365993143847383362621642915177047839771381675513828189657496747215083 (pp130)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 351.70 hours.
Scaled time: 697.77 units (timescale=1.984).
Factorization parameters were as follows:
n: 44719642242862057103543171654626762985896112831097351221190230478156174750601995184038527691778465772273821809425524595803233574131406948744410044719642242862057103543171654626763
m: 1000000000000000000000000000000000000
deg: 5
c5: 130
c0: 41
skew: 0.79
type: snfs
lss: 1
rlim: 7600000
alim: 7600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7600000/7600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3800000, 7100001)
Primes: RFBsize:514565, AFBsize:513133, largePrimes:19008871 encountered
Relations: rels:21296485, finalFF:2344194
Max relations in full relation-set: 32
Initial matrix: 1027765 x 2344193 with sparse part having weight 350900025.
Pruned matrix : 721846 x 727048 with weight 202326012.
Total sieving time: 336.70 hours.
Total relation processing time: 0.39 hours.
Matrix solve time: 14.25 hours.
Time per square root: 0.35 hours.
Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,7600000,7600000,28,28,53,53,2.5,2.5,100000
total time: 351.70 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
3025e4430Makoto KamadaMarch 12, 2008 09:00:00 UTC 2008 年 3 月 12 日 (水) 18 時 0 分 0 秒 (日本時間)

13×10183+419

c164

name 名前Serge Batalov
date 日付September 26, 2011 05:53:57 UTC 2011 年 9 月 26 日 (月) 14 時 53 分 57 秒 (日本時間)
composite number 合成数
69766908915731185174779201022227109747135169261840345030850923441251053599370437199510460199823065361676038963660013215136816654071035708226343817803134236170712063<164>
prime factors 素因数
449697321652106075796403374711141577<36>
composite cofactor 合成数の残り
155141926706212670897582741214331915277421570888781518358811320701028621884965054327312799183294893947607984875604180881716637319<129>
factorization results 素因数分解の結果
Input number is 69766908915731185174779201022227109747135169261840345030850923441251053599370437199510460199823065361676038963660013215136816654071035708226343817803134236170712063 (164 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=979206848
Step 1 took 11881ms
Step 2 took 9112ms
********** Factor found in step 2: 449697321652106075796403374711141577
Found probable prime factor of 36 digits: 449697321652106075796403374711141577
Composite cofactor has 129 digits

c129

name 名前Warut Roonguthai
date 日付September 29, 2011 19:57:49 UTC 2011 年 9 月 30 日 (金) 4 時 57 分 49 秒 (日本時間)
composite number 合成数
155141926706212670897582741214331915277421570888781518358811320701028621884965054327312799183294893947607984875604180881716637319<129>
prime factors 素因数
61576569792417067177594661575964212271730904327071683<53>
2519496088028564405018487926366650899338729884900718679609003532641260467693<76>
factorization results 素因数分解の結果
N = 155141926706212670897582741214331915277421570888781518358811320701028621884965054327312799183294893947607984875604180881716637319 (129 digits)
Divisors found:
r1=61576569792417067177594661575964212271730904327071683 (pp53)
r2=2519496088028564405018487926366650899338729884900718679609003532641260467693 (pp76)
Version: Msieve v. 1.48
Total time: 40.06 hours.
Factorization parameters were as follows:
n: 155141926706212670897582741214331915277421570888781518358811320701028621884965054327312799183294893947607984875604180881716637319
Y0: -8951005942646416619655608
Y1: 60933944144057
c0: 7209184565784297795975742801735
c1: 135543872004623553456301485
c2: -947658268555338574847
c3: -6288713614185001
c4: 5652383208
c5: 2700
skew: 414290.89 
type: gnfs
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19928048
Relations: 2316364 relations
Pruned matrix : 1315896 x 1316120
Polynomial selection time: 0.00 hours.
Total sieving time: 37.41 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.23 hours.
time per square root: 0.30 hours.
Prototype def-par.txt line would be: gnfs,128,5,65,2000,1e-05,0.28,250,20,50000,3600,6800000,6800000,28,28,55,55,2.5,2.5,100000
total time: 40.06 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMarch 12, 2008 09:00:00 UTC 2008 年 3 月 12 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 6, 2010 13:35:31 UTC 2010 年 10 月 6 日 (水) 22 時 35 分 31 秒 (日本時間)
403e6410 / 2144110Ignacio SantosOctober 6, 2010 13:35:31 UTC 2010 年 10 月 6 日 (水) 22 時 35 分 31 秒 (日本時間)
300Serge BatalovSeptember 26, 2011 17:01:04 UTC 2011 年 9 月 27 日 (火) 2 時 1 分 4 秒 (日本時間)
4511e632 / 4374Ignacio SantosOctober 6, 2010 13:35:31 UTC 2010 年 10 月 6 日 (水) 22 時 35 分 31 秒 (日本時間)

13×10184+419

c179

name 名前Robert Backstrom
date 日付August 1, 2009 22:58:13 UTC 2009 年 8 月 2 日 (日) 7 時 58 分 13 秒 (日本時間)
composite number 合成数
56121737546262659229241324766565949733054796832834497427681744850722653712042818295513757812253792858120362131987102361300521975329747586009800582198271191460171050421927539929537<179>
prime factors 素因数
92587192841326317904370509461876612279913187413506323373335331228760777<71>
606150114546001300708435303470338784608990441248267320938295610733948093243853858789867890785546836431405881<108>
factorization results 素因数分解の結果
Number: n
N=56121737546262659229241324766565949733054796832834497427681744850722653712042818295513757812253792858120362131987102361300521975329747586009800582198271191460171050421927539929537
  ( 179 digits)
SNFS difficulty: 185 digits.
Divisors found:

Sun Aug 02 08:53:24 2009  prp71 factor: 92587192841326317904370509461876612279913187413506323373335331228760777
Sun Aug 02 08:53:24 2009  prp108 factor: 606150114546001300708435303470338784608990441248267320938295610733948093243853858789867890785546836431405881
Sun Aug 02 08:53:24 2009  elapsed time 03:35:50 (Msieve 1.39 - dependency 2)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 147.60 hours.
Scaled time: 384.64 units (timescale=2.606).
Factorization parameters were as follows:
name: KA_1_4_183_9
n: 56121737546262659229241324766565949733054796832834497427681744850722653712042818295513757812253792858120362131987102361300521975329747586009800582198271191460171050421927539929537
m: 5000000000000000000000000000000000000
deg: 5
c5: 208
c0: 205
skew: 1.00
type: snfs
lss: 1
rlim: 8800000
alim: 8800000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 8800000/8800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [4400000, 7035647)
Primes: RFBsize:590006, AFBsize:590266, largePrimes:21302773 encountered
Relations: rels:21438521, finalFF:1122149
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2374612 hash collisions in 23329475 relations
Msieve: matrix is 1562449 x 1562697 (420.7 MB)

Total sieving time: 146.75 hours.
Total relation processing time: 0.84 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,8800000,8800000,28,28,56,56,2.5,2.5,100000
total time: 147.60 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMarch 12, 2008 09:00:00 UTC 2008 年 3 月 12 日 (水) 18 時 0 分 0 秒 (日本時間)

13×10185+419

c168

name 名前Jo Yeong Uk
date 日付August 11, 2014 22:21:32 UTC 2014 年 8 月 12 日 (火) 7 時 21 分 32 秒 (日本時間)
composite number 合成数
733733079150708025917720541742081244304937082477153909578233259576500631117762150652303412528221120233210989866418984366851823295291557649133540666696879750457946310469<168>
prime factors 素因数
3422830258396349772359902705585715001089<40>
1305957517860182579388230755800656254831449163816107289268928281<64>
164143498884177267231178020856709191714594079392819767560388476941<66>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 733733079150708025917720541742081244304937082477153909578233259576500631117762150652303412528221120233210989866418984366851823295291557649133540666696879750457946310469 (168 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1233038543
Step 1 took 29572ms
Step 2 took 10033ms
********** Factor found in step 2: 3422830258396349772359902705585715001089
Found probable prime factor of 40 digits: 3422830258396349772359902705585715001089
Composite cofactor 214364436375665792761075491754657365073840686691789969631465357303354548349137719788627007248716125074646577918993359744951268421 has 129 digits

Number: 14449_185
N=214364436375665792761075491754657365073840686691789969631465357303354548349137719788627007248716125074646577918993359744951268421
  ( 129 digits)
Divisors found:
 r1=1305957517860182579388230755800656254831449163816107289268928281
 r2=164143498884177267231178020856709191714594079392819767560388476941
Version: 
Total time: 54.64 hours.
Scaled time: 284.45 units (timescale=5.206).
Factorization parameters were as follows:
name: 14449_185
n: 214364436375665792761075491754657365073840686691789969631465357303354548349137719788627007248716125074646577918993359744951268421
skew: 102092.91
# norm 2.69e+17
c5: 252840
c4: -1590947113
c3: -9157551556233998
c2: 84937222439650814546
c1: 18189355358068443787692648
c0: -472038858769805437937990278368
# alpha -5.88
Y1: 4487399428963
Y0: -3851779270818502309960765
# Murphy_E 9.88e-11
# M 50940878067294247678726730910303353071009558196723765963353119877200233888279336170291788834199849713113443180068180925709069788
type: gnfs
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved algebraic special-q in [4200000, 8800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20214338
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1393530 x 1393778
Polynomial selection time: 9.09 hours.
Total sieving time: 40.77 hours.
Total relation processing time: 2.25 hours.
Matrix solve time: 2.36 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
gnfs,128,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,8400000,8400000,28,28,55,55,2.6,2.6,100000
total time: 54.64 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.41 BogoMIPS (lpj=3400205)
Total of 12 processors activated (81604.92 BogoMIPS).
software ソフトウェア
GMP-ECM v6.4.4 / GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMarch 12, 2008 09:00:00 UTC 2008 年 3 月 12 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 6, 2010 13:51:56 UTC 2010 年 10 月 6 日 (水) 22 時 51 分 56 秒 (日本時間)
403e61110110Ignacio SantosOctober 6, 2010 13:51:56 UTC 2010 年 10 月 6 日 (水) 22 時 51 分 56 秒 (日本時間)
1000Dmitry DomanovMarch 21, 2013 20:41:49 UTC 2013 年 3 月 22 日 (金) 5 時 41 分 49 秒 (日本時間)
4511e6632 / 422032Ignacio SantosOctober 6, 2010 13:51:56 UTC 2010 年 10 月 6 日 (水) 22 時 51 分 56 秒 (日本時間)
300Rich DickersonNovember 9, 2013 15:26:38 UTC 2013 年 11 月 10 日 (日) 0 時 26 分 38 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:01 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 1 秒 (日本時間)

13×10186+419

c153

name 名前Jo Yeong Uk
date 日付November 27, 2016 04:53:48 UTC 2016 年 11 月 27 日 (日) 13 時 53 分 48 秒 (日本時間)
composite number 合成数
564555109211792860622829673770040821012592710978938881917950424732885228525344632214443266851866472797054036122821627556903975680113540867735612783861783<153>
prime factors 素因数
53080502044032118016901860922738626099590403<44>
115218023293091218027256569500080140017235758913<48>
92310456818712999285678730082257175403972632658850253677498397<62>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 564555109211792860622829673770040821012592710978938881917950424732885228525344632214443266851866472797054036122821627556903975680113540867735612783861783 (153 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1976153498
Step 1 took 24802ms
Step 2 took 8922ms
********** Factor found in step 2: 53080502044032118016901860922738626099590403
Found probable prime factor of 44 digits: 53080502044032118016901860922738626099590403
Composite cofactor 10635828363934365407745380028164405611295993909245712540746806751426696800139417582256659369689834023635962461 has 110 digits

GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 10635828363934365407745380028164405611295993909245712540746806751426696800139417582256659369689834023635962461 (110 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=7837800385
Step 1 took 15669ms
Step 2 took 6840ms
********** Factor found in step 2: 115218023293091218027256569500080140017235758913
Found probable prime factor of 48 digits: 115218023293091218027256569500080140017235758913
Probable prime cofactor 92310456818712999285678730082257175403972632658850253677498397 has 62 digits
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMarch 12, 2008 09:00:00 UTC 2008 年 3 月 12 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 6, 2010 14:59:37 UTC 2010 年 10 月 6 日 (水) 23 時 59 分 37 秒 (日本時間)
403e61410110Ignacio SantosOctober 6, 2010 14:59:37 UTC 2010 年 10 月 6 日 (水) 23 時 59 分 37 秒 (日本時間)
1000Dmitry DomanovMarch 21, 2013 20:41:57 UTC 2013 年 3 月 22 日 (金) 5 時 41 分 57 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:39:03 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 3 秒 (日本時間)
4511e6932 / 415332Ignacio SantosOctober 6, 2010 14:59:37 UTC 2010 年 10 月 6 日 (水) 23 時 59 分 37 秒 (日本時間)
600Rich DickersonApril 11, 2014 00:57:14 UTC 2014 年 4 月 11 日 (金) 9 時 57 分 14 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:01 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 1 秒 (日本時間)

13×10188+419

c144

composite cofactor 合成数の残り
206794660959261742184581015806699303081027522986404853025957585461975328606505274369513718291261742492875375126706866452845854598252093096478999<144>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMarch 12, 2008 09:00:00 UTC 2008 年 3 月 12 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 7, 2010 06:37:12 UTC 2010 年 10 月 7 日 (木) 15 時 37 分 12 秒 (日本時間)
403e62710110Ignacio SantosOctober 7, 2010 06:37:12 UTC 2010 年 10 月 7 日 (木) 15 時 37 分 12 秒 (日本時間)
1000Dmitry DomanovMarch 21, 2013 20:42:07 UTC 2013 年 3 月 22 日 (金) 5 時 42 分 7 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:39:03 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 3 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:33 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 33 秒 (日本時間)
4511e632 / 3866Ignacio SantosOctober 7, 2010 06:37:12 UTC 2010 年 10 月 7 日 (木) 15 時 37 分 12 秒 (日本時間)

13×10190+419

c147

name 名前Justin Card
date 日付July 6, 2012 19:38:02 UTC 2012 年 7 月 7 日 (土) 4 時 38 分 2 秒 (日本時間)
composite number 合成数
231222493551888613736017178689112514951459176449934169946096740079893237988866872112285003740367219724145711604812562159034988702895320107891897909<147>
prime factors 素因数
11205880402563335996495031939618847<35>
composite cofactor 合成数の残り
20634031887311295687793153134836232839527334471423666420848479889728474577615947769954205184092403161412894914347<113>
factorization results 素因数分解の結果
[2012-07-03 16:29:40 GMT] a: Factor found!  14449_190 / (probable) 11205880402563335996495031939618847  B1: 3000000 sigma: 2359296238 (found in step 2)
[2012-07-03 16:29:40 GMT] a:    Co-factor:  14449_190 / (Composite) 20634031887311295687793153134836232839527334471423666420848479889728474577615947769954205184092403161412894914347
software ソフトウェア
GMP-ECM 6.2
execution environment 実行環境
Phenom X4 3.0GHz, Linux Mint

c113

name 名前Warut Roonguthai
date 日付July 7, 2012 14:18:03 UTC 2012 年 7 月 7 日 (土) 23 時 18 分 3 秒 (日本時間)
composite number 合成数
20634031887311295687793153134836232839527334471423666420848479889728474577615947769954205184092403161412894914347<113>
prime factors 素因数
26296146249848225401246975115754858765355629619<47>
784678929424131492935260573540308394768242513558720328063697084713<66>
factorization results 素因数分解の結果
N = 20634031887311295687793153134836232839527334471423666420848479889728474577615947769954205184092403161412894914347 (113 digits)
Divisors found:
r1=26296146249848225401246975115754858765355629619 (pp47)
r2=784678929424131492935260573540308394768242513558720328063697084713 (pp66)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 3.88 hours.
Factorization parameters were as follows:
n: 20634031887311295687793153134836232839527334471423666420848479889728474577615947769954205184092403161412894914347
Y0: -5538350288192397282422
Y1: 711974303389
c0: 22553926092480559580910892665
c1: 640436877192363970099719
c2: 3867352062690220697
c3: -81039022625711
c4: -935585730
c5: 3960
skew: 113380.55 
type: gnfs
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 8103421
Relations: 620966 relations
Pruned matrix : 376523 x 376748
Polynomial selection time: 0.00 hours.
Total sieving time: 3.73 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.10 hours.
time per square root: 0.02 hours.
Prototype def-par.txt line would be: gnfs,112,5,61,2000,0.00016,0.25,250,15,50000,2800,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 3.88 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMarch 12, 2008 09:00:00 UTC 2008 年 3 月 12 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 7, 2010 07:01:35 UTC 2010 年 10 月 7 日 (木) 16 時 1 分 35 秒 (日本時間)
403e6110 / 2144Ignacio SantosOctober 7, 2010 07:01:35 UTC 2010 年 10 月 7 日 (木) 16 時 1 分 35 秒 (日本時間)
4511e632 / 4441Ignacio SantosOctober 7, 2010 07:01:35 UTC 2010 年 10 月 7 日 (木) 16 時 1 分 35 秒 (日本時間)

13×10191+419

c192

name 名前Jo Yeong Uk
date 日付July 15, 2008 00:51:45 UTC 2008 年 7 月 15 日 (火) 9 時 51 分 45 秒 (日本時間)
composite number 合成数
144444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449<192>
prime factors 素因数
497657554076973302518779613306102473057258401585609<51>
290248672528143811855534364536737651221044179346938023837658334270944573019672423163353331467770581052482338681134129509473272799800519044761<141>
factorization results 素因数分解の結果
Number: 14449_191
N=144444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449
  ( 192 digits)
SNFS difficulty: 192 digits.
Divisors found:
 r1=497657554076973302518779613306102473057258401585609 (pp51)
 r2=290248672528143811855534364536737651221044179346938023837658334270944573019672423163353331467770581052482338681134129509473272799800519044761 (pp141)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 592.51 hours.
Scaled time: 1409.59 units (timescale=2.379).
Factorization parameters were as follows:
n: 144444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449
m: 100000000000000000000000000000000000000
c5: 130
c0: 41
skew: 0.79
type: snfs
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved algebraic special-q in [8000000, 18100001)
Primes: RFBsize:1031130, AFBsize:1029654, largePrimes:14861895 encountered
Relations: rels:16051847, finalFF:2329705
Max relations in full relation-set: 28
Initial matrix: 2060851 x 2329705 with sparse part having weight 193127240.
Pruned matrix : 1827746 x 1838114 with weight 151862872.
Total sieving time: 552.20 hours.
Total relation processing time: 0.44 hours.
Matrix solve time: 39.65 hours.
Time per square root: 0.23 hours.
Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,16000000,16000000,28,28,52,52,2.6,2.6,100000
total time: 592.51 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: 8047052k/8912896k available (2459k kernel code, 339236k reserved, 1247k data, 196k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673804)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672348)
Calibrating delay using timer specific routine.. 5344.23 BogoMIPS (lpj=2672116)
Calibrating delay using timer specific routine.. 5589.60 BogoMIPS (lpj=2794804)
execution environment 実行環境
Core 2 Quad Q6700

13×10192+419

c153

composite cofactor 合成数の残り
927580092378205375810913264348862110267284487931477181724936154999058192476693666696039475090827057357810511524707342129348691159639439757259319666735559<153>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMarch 12, 2008 09:00:00 UTC 2008 年 3 月 12 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 7, 2010 11:56:02 UTC 2010 年 10 月 7 日 (木) 20 時 56 分 2 秒 (日本時間)
403e62710110Ignacio SantosOctober 7, 2010 11:56:02 UTC 2010 年 10 月 7 日 (木) 20 時 56 分 2 秒 (日本時間)
1000Dmitry DomanovMarch 21, 2013 20:42:16 UTC 2013 年 3 月 22 日 (金) 5 時 42 分 16 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:39:04 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 4 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:33 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 33 秒 (日本時間)
4511e632 / 3866Ignacio SantosOctober 7, 2010 11:56:02 UTC 2010 年 10 月 7 日 (木) 20 時 56 分 2 秒 (日本時間)

13×10193+419

c194

name 名前Robert Backstrom
date 日付September 12, 2008 13:13:56 UTC 2008 年 9 月 12 日 (金) 22 時 13 分 56 秒 (日本時間)
composite number 合成数
14444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449<194>
prime factors 素因数
1901287922333370738124450534127671428882960582469<49>
7597189397131069455903065721394056844398540195601305071590900567978034358366761385835754036511022197005546476527689112466320193426394369847525421<145>
factorization results 素因数分解の結果
Number: n
N=14444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449
  ( 194 digits)
SNFS difficulty: 194 digits.
Divisors found:

Fri Sep 12 22:18:39 2008  prp49 factor: 1901287922333370738124450534127671428882960582469
Fri Sep 12 22:18:39 2008  prp145 factor: 7597189397131069455903065721394056844398540195601305071590900567978034358366761385835754036511022197005546476527689112466320193426394369847525421
Fri Sep 12 22:18:39 2008  elapsed time 24:07:01 (Msieve 1.37)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 249.78 hours.
Scaled time: 320.72 units (timescale=1.284).
Factorization parameters were as follows:
name: KA_1_4_192_9
n: 14444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449
type: snfs
skew: 0.32
deg: 5
c5: 13000
c0: 41
m: 100000000000000000000000000000000000000
rlim: 9500000
alim: 9500000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 9500000/9500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 20100001)
Primes: RFBsize:633578, AFBsize:632714, largePrimes:15887207 encountered
Relations: rels:16490078, finalFF:1303499
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 248.58 hours.
Total relation processing time: 1.20 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,194,5,0,0,0,0,0,0,0,0,9500000,9500000,28,28,52,52,2.5,2.5,100000
total time: 249.78 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
3025e4430Makoto KamadaMarch 12, 2008 09:00:00 UTC 2008 年 3 月 12 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6904Jo Yeong UkJuly 24, 2008 08:00:39 UTC 2008 年 7 月 24 日 (木) 17 時 0 分 39 秒 (日本時間)
403e62350Jo Yeong UkJuly 24, 2008 08:00:43 UTC 2008 年 7 月 24 日 (木) 17 時 0 分 43 秒 (日本時間)
4511e63281 / 3918Jo Yeong UkJuly 24, 2008 08:00:50 UTC 2008 年 7 月 24 日 (木) 17 時 0 分 50 秒 (日本時間)

13×10194+419

c156

name 名前Dmitry Domanov
date 日付March 19, 2013 05:05:29 UTC 2013 年 3 月 19 日 (火) 14 時 5 分 29 秒 (日本時間)
composite number 合成数
190789693244000391022881633119283169688976200156694363954716108384612702532378154563421169018886886088678369227021633457187057386686127679399819908337280819<156>
prime factors 素因数
415851590514556738086162451500900036539<39>
458792746248548651829456739246842526767557943578939179427352921787667816647441060914244152323526703574225100619596521<117>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1256891890
Step 1 took 20726ms
********** Factor found in step 1: 415851590514556738086162451500900036539
Found probable prime factor of 39 digits: 415851590514556738086162451500900036539

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMarch 12, 2008 09:00:00 UTC 2008 年 3 月 12 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 7, 2010 11:56:29 UTC 2010 年 10 月 7 日 (木) 20 時 56 分 29 秒 (日本時間)
403e6110 / 2144Ignacio SantosOctober 7, 2010 11:56:29 UTC 2010 年 10 月 7 日 (木) 20 時 56 分 29 秒 (日本時間)
4511e632 / 4441Ignacio SantosOctober 7, 2010 11:56:29 UTC 2010 年 10 月 7 日 (木) 20 時 56 分 29 秒 (日本時間)

13×10197+419

c157

composite cofactor 合成数の残り
6924115261394589832024117318596695442684709744248253105817620259010705044241890434064419991756953255933678394359406960824083369155417709173118286529251809409<157>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMarch 12, 2008 09:00:00 UTC 2008 年 3 月 12 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 7, 2010 11:57:09 UTC 2010 年 10 月 7 日 (木) 20 時 57 分 9 秒 (日本時間)
403e61110110Ignacio SantosOctober 7, 2010 11:57:09 UTC 2010 年 10 月 7 日 (木) 20 時 57 分 9 秒 (日本時間)
1000Dmitry DomanovMarch 21, 2013 20:42:24 UTC 2013 年 3 月 22 日 (金) 5 時 42 分 24 秒 (日本時間)
4511e6932 / 422032Ignacio SantosOctober 7, 2010 11:57:09 UTC 2010 年 10 月 7 日 (木) 20 時 57 分 9 秒 (日本時間)
600Dmitry DomanovApril 18, 2013 15:48:03 UTC 2013 年 4 月 19 日 (金) 0 時 48 分 3 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:02 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 2 秒 (日本時間)

13×10198+419

c178

composite cofactor 合成数の残り
4043441018636076630728309836701721225802321966046311126959122204828789019961940898314177230986568406764538278692553325327888987062140092341213576225443249873877570244113630896711<178>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMarch 12, 2008 09:00:00 UTC 2008 年 3 月 12 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 7, 2010 11:57:36 UTC 2010 年 10 月 7 日 (木) 20 時 57 分 36 秒 (日本時間)
403e61110110Ignacio SantosOctober 7, 2010 11:57:36 UTC 2010 年 10 月 7 日 (木) 20 時 57 分 36 秒 (日本時間)
1000Dmitry DomanovMarch 21, 2013 20:42:32 UTC 2013 年 3 月 22 日 (金) 5 時 42 分 32 秒 (日本時間)
4511e6932 / 422032Ignacio SantosOctober 7, 2010 11:57:36 UTC 2010 年 10 月 7 日 (木) 20 時 57 分 36 秒 (日本時間)
600Dmitry DomanovApril 18, 2013 15:48:15 UTC 2013 年 4 月 19 日 (金) 0 時 48 分 15 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:02 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 2 秒 (日本時間)

13×10200+419

c150

name 名前Dmitry Domanov
date 日付April 22, 2013 05:24:15 UTC 2013 年 4 月 22 日 (月) 14 時 24 分 15 秒 (日本時間)
composite number 合成数
279815170781717093926933511424573977194953793983579457317864042683107781557318278791866863569188129482983018310819633698432171123622716888298081917257<150>
prime factors 素因数
3712790931475469981646468432165574406827485481<46>
75365183751544563173197402176112208281307088952728810034445144966592804806048401433173425971690042577697<104>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2605001653
Step 1 took 60759ms
Step 2 took 23753ms
********** Factor found in step 2: 3712790931475469981646468432165574406827485481
Found probable prime factor of 46 digits: 3712790931475469981646468432165574406827485481

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMarch 12, 2008 09:00:00 UTC 2008 年 3 月 12 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 7, 2010 12:39:08 UTC 2010 年 10 月 7 日 (木) 21 時 39 分 8 秒 (日本時間)
403e61110110Ignacio SantosOctober 7, 2010 12:39:08 UTC 2010 年 10 月 7 日 (木) 21 時 39 分 8 秒 (日本時間)
1000Dmitry DomanovMarch 21, 2013 20:42:40 UTC 2013 年 3 月 22 日 (金) 5 時 42 分 40 秒 (日本時間)
4511e6632 / 422032Ignacio SantosOctober 7, 2010 12:39:08 UTC 2010 年 10 月 7 日 (木) 21 時 39 分 8 秒 (日本時間)
600Dmitry DomanovApril 18, 2013 15:48:26 UTC 2013 年 4 月 19 日 (金) 0 時 48 分 26 秒 (日本時間)

13×10201+419

c187

name 名前Warut Roonguthai
date 日付March 16, 2013 14:24:10 UTC 2013 年 3 月 16 日 (土) 23 時 24 分 10 秒 (日本時間)
composite number 合成数
2198468508871881237404066372832744124222111440255138145490800287034395755021035680487946387451043688799583646813559137448391771623764429320622856419785625924237422460141639709345904160651<187>
prime factors 素因数
2043228856881952066944672917<28>
1075977613308981457219598982450419470029213881547970030077530036705111351084985291392712035625423411460780385393930216260215226603462067160656316793670772300703<160>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1302932986
Step 1 took 10514ms
Step 2 took 6661ms
********** Factor found in step 2: 2043228856881952066944672917
Found probable prime factor of 28 digits: 2043228856881952066944672917
Probable prime cofactor 1075977613308981457219598982450419470029213881547970030077530036705111351084985291392712035625423411460780385393930216260215226603462067160656316793670772300703 has 160 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 KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)

13×10202+419

c177

name 名前Dmitry Domanov
date 日付March 19, 2013 11:32:45 UTC 2013 年 3 月 19 日 (火) 20 時 32 分 45 秒 (日本時間)
composite number 合成数
122617544177014072174364158172629982632319923794872115143892807769481460194236200788294622766252916285040496308150770664246957193632735665115595665665002784263641280669364473163<177>
prime factors 素因数
28675095120154105182625820979255201463<38>
4276098951484667408647101007356682065237671093158749527690510395124686725454204318348978960229652359630336843025206602090284843674797285901<139>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1064351160
Step 1 took 22764ms
Step 2 took 8939ms
********** Factor found in step 2: 28675095120154105182625820979255201463
Found probable prime factor of 38 digits: 28675095120154105182625820979255201463

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 18, 2013 18:13:53 UTC 2013 年 3 月 19 日 (火) 3 時 13 分 53 秒 (日本時間)

13×10203+419

c174

name 名前Warut Roonguthai
date 日付March 16, 2013 19:47:45 UTC 2013 年 3 月 17 日 (日) 4 時 47 分 45 秒 (日本時間)
composite number 合成数
478498304243424178531245282706745701482427564413086608384302265651273809456123566680251746867519399508020787251198644977680611599440833683828877683710424154929387039314756033<174>
prime factors 素因数
611088027410494567360465702304842219<36>
composite cofactor 合成数の残り
783026802654073158504401141503535979128975562637104245220219887281304034566268475924746324042961329087938290518638538808461715560516629507<138>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3825729912
Step 1 took 11294ms
Step 2 took 6209ms
********** Factor found in step 2: 611088027410494567360465702304842219
Found probable prime factor of 36 digits: 611088027410494567360465702304842219
Composite cofactor 783026802654073158504401141503535979128975562637104245220219887281304034566268475924746324042961329087938290518638538808461715560516629507 has 138 digits
software ソフトウェア
GMP-ECM 6.3

c138

name 名前Erik Branger
date 日付April 11, 2014 06:10:58 UTC 2014 年 4 月 11 日 (金) 15 時 10 分 58 秒 (日本時間)
composite number 合成数
783026802654073158504401141503535979128975562637104245220219887281304034566268475924746324042961329087938290518638538808461715560516629507<138>
prime factors 素因数
1166133065569817335486106531640716357754829<43>
671472944017290372169883686306166752832060417497435094594181372991263304496545150215876636570383<96>
factorization results 素因数分解の結果
Number: 14449_203
N = 783026802654073158504401141503535979128975562637104245220219887281304034566268475924746324042961329087938290518638538808461715560516629507 (138 digits)
Divisors found:
r1=1166133065569817335486106531640716357754829 (pp43)
r2=671472944017290372169883686306166752832060417497435094594181372991263304496545150215876636570383 (pp96)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 135.24 hours.
Factorization parameters were as follows:
# Murphy_E = 2.694e-11, selected by Erik Branger
# expecting poly E from 2.76e-011 to > 3.17e-011
n: 783026802654073158504401141503535979128975562637104245220219887281304034566268475924746324042961329087938290518638538808461715560516629507
Y0: -686163601630943327657477641
Y1: 221143646750987
c0: -89251823644894962203765318537571600
c1: 204261442952973012463562652204
c2: 40419494187721048087880
c3: -85685603762804369
c4: -10795532772
c5: 5148
skew: 2377112.08
type: gnfs
# selected mechanically
rlim: 16000000
alim: 16000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 22947797
Relations: 3966280 relations
Pruned matrix : 2397445 x 2397673
Polynomial selection time: 0.00 hours.
Total sieving time: 130.84 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 4.16 hours.
time per square root: 0.11 hours.
Prototype def-par.txt line would be: gnfs,137,5,65,2000,1e-05,0.28,250,20,50000,3600,16000000,16000000,28,28,55,55,2.6,2.6,100000
total time: 135.24 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 17, 2013 18:09:30 UTC 2013 年 3 月 18 日 (月) 3 時 9 分 30 秒 (日本時間)
403e63100Warut RoonguthaiMarch 17, 2013 18:09:30 UTC 2013 年 3 月 18 日 (月) 3 時 9 分 30 秒 (日本時間)
4511e62100 / 3730850Serge BatalovNovember 8, 2013 01:45:55 UTC 2013 年 11 月 8 日 (金) 10 時 45 分 55 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:09:02 UTC 2013 年 11 月 9 日 (土) 2 時 9 分 2 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:23:18 UTC 2014 年 1 月 6 日 (月) 11 時 23 分 18 秒 (日本時間)

13×10205+419

c190

name 名前Warut Roonguthai
date 日付March 16, 2013 15:06:11 UTC 2013 年 3 月 17 日 (日) 0 時 6 分 11 秒 (日本時間)
composite number 合成数
1465212876747640413734193808258605476410252906349591256649694490167260614394027020837385291728305562723595952195720457764024244223873396432033245429534241286007656393168198354512586551943101<190>
prime factors 素因数
29018729986332620651458650858548677<35>
50491971131670246673315121358166017002669686013005748745241845886943784229922795894496429798635448063957426412400841995210826089995059086423127319454613913<155>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3437213011
Step 1 took 10483ms
Step 2 took 6552ms
********** Factor found in step 2: 29018729986332620651458650858548677
Found probable prime factor of 35 digits: 29018729986332620651458650858548677
Probable prime cofactor 50491971131670246673315121358166017002669686013005748745241845886943784229922795894496429798635448063957426412400841995210826089995059086423127319454613913 has 155 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 KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)

13×10206+419

c172

composite cofactor 合成数の残り
4909393091000796448844033878574165704806430319524348120954107398556017715547752684099328175252689937504924151288390647879094073765435193304547879524319874662819582849343993<172>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 18, 2013 18:14:10 UTC 2013 年 3 月 19 日 (火) 3 時 14 分 10 秒 (日本時間)
403e61000Dmitry DomanovMarch 21, 2013 20:43:00 UTC 2013 年 3 月 22 日 (金) 5 時 43 分 0 秒 (日本時間)
4511e61300 / 41941000Dmitry DomanovApril 16, 2013 22:01:40 UTC 2013 年 4 月 17 日 (水) 7 時 1 分 40 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:03 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 3 秒 (日本時間)

13×10208+419

c162

name 名前Warut Roonguthai
date 日付March 16, 2013 15:28:30 UTC 2013 年 3 月 17 日 (日) 0 時 28 分 30 秒 (日本時間)
composite number 合成数
960763225439169889539326543070290255823084334702390224402108128986101678948496369516611608218625991695644813888587007788703077697162517575599023387808462436951033<162>
prime factors 素因数
38970777254455754345447527573829<32>
composite cofactor 合成数の残り
24653427340336669152202925262629813200574100351922862593733498102063264884886242114564760468895507121256791735277060234465495107877<131>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1608610304
Step 1 took 7784ms
Step 2 took 5632ms
********** Factor found in step 2: 38970777254455754345447527573829
Found probable prime factor of 32 digits: 38970777254455754345447527573829
Composite cofactor 24653427340336669152202925262629813200574100351922862593733498102063264884886242114564760468895507121256791735277060234465495107877 has 131 digits
software ソフトウェア
GMP-ECM 6.3

c131

name 名前Warut Roonguthai
date 日付March 17, 2013 14:48:39 UTC 2013 年 3 月 17 日 (日) 23 時 48 分 39 秒 (日本時間)
composite number 合成数
24653427340336669152202925262629813200574100351922862593733498102063264884886242114564760468895507121256791735277060234465495107877<131>
prime factors 素因数
67971267160590809015878229436840910482467<41>
362703659504975757466448829363489380976396178676923027786723881456063928694712815993374231<90>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=709073642
Step 1 took 16318ms
Step 2 took 10904ms
********** Factor found in step 2: 67971267160590809015878229436840910482467
Found probable prime factor of 41 digits: 67971267160590809015878229436840910482467
Probable prime cofactor 362703659504975757466448829363489380976396178676923027786723881456063928694712815993374231 has 90 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 KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)

13×10210+419

c206

composite cofactor 合成数の残り
42469919862528136321908924890313264662739832537839065139056318380654624810927183688937239259193920921009215972610168605581854236701197978431814543660711077135175221088602053583971198860499380919245080839859<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 18, 2013 18:14:30 UTC 2013 年 3 月 19 日 (火) 3 時 14 分 30 秒 (日本時間)
403e61000Dmitry DomanovMarch 21, 2013 20:43:09 UTC 2013 年 3 月 22 日 (金) 5 時 43 分 9 秒 (日本時間)
4511e649501000Dmitry DomanovApril 10, 2013 12:44:26 UTC 2013 年 4 月 10 日 (水) 21 時 44 分 26 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:14:04 UTC 2013 年 11 月 9 日 (土) 2 時 14 分 4 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:27:23 UTC 2014 年 1 月 6 日 (月) 11 時 27 分 23 秒 (日本時間)
1800Serge BatalovMay 24, 2014 03:26:03 UTC 2014 年 5 月 24 日 (土) 12 時 26 分 3 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:22 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 22 秒 (日本時間)

13×10211+419

c197

name 名前Dmitry Domanov
date 日付April 18, 2013 11:39:37 UTC 2013 年 4 月 18 日 (木) 20 時 39 分 37 秒 (日本時間)
composite number 合成数
47829980857021391722175287132960166679635848368524925731687969373328145950567205061885013534872366418690881736688657373386156978947220302250850160544493599534075957733596120476145271577225546592827<197>
prime factors 素因数
327556805878026602908233270213194857667<39>
composite cofactor 合成数の残り
146020415386612353985498565011890533640104291694499671804436876162738366074208185538144656465291259089509924325936214613370769134048849249766082520286915165481<159>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3827072370
Step 1 took 98252ms
Step 2 took 32588ms
********** Factor found in step 2: 327556805878026602908233270213194857667
Found probable prime factor of 39 digits: 327556805878026602908233270213194857667

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 18, 2013 18:14:36 UTC 2013 年 3 月 19 日 (火) 3 時 14 分 36 秒 (日本時間)
403e61000Dmitry DomanovMarch 21, 2013 20:43:16 UTC 2013 年 3 月 22 日 (金) 5 時 43 分 16 秒 (日本時間)
4511e6900 / 4194600Dmitry DomanovApril 17, 2013 07:52:37 UTC 2013 年 4 月 17 日 (水) 16 時 52 分 37 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:03 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 3 秒 (日本時間)

13×10213+419

c203

composite cofactor 合成数の残り
16699771349145602895271220937429106892997111702634665240762208652001358031628704244678312719124615905811507278175812796174480200211591420457791915860672883561222814645432856983472122903018538319818290447<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 18, 2013 18:14:43 UTC 2013 年 3 月 19 日 (火) 3 時 14 分 43 秒 (日本時間)
403e61000Dmitry DomanovMarch 21, 2013 20:43:24 UTC 2013 年 3 月 22 日 (金) 5 時 43 分 24 秒 (日本時間)
4511e6900 / 4194600Dmitry DomanovApril 17, 2013 07:52:51 UTC 2013 年 4 月 17 日 (水) 16 時 52 分 51 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:04 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 4 秒 (日本時間)

13×10214+419

c168

composite cofactor 合成数の残り
231573278144404042517762298734778662111736216810839892585903036113785062779559523551371063720484352248936230152813032658649850767504933416925629452586044361265826106799<168>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 18, 2013 18:14:50 UTC 2013 年 3 月 19 日 (火) 3 時 14 分 50 秒 (日本時間)
403e61000Dmitry DomanovMarch 21, 2013 20:43:33 UTC 2013 年 3 月 22 日 (金) 5 時 43 分 33 秒 (日本時間)
4511e6900 / 4194600Dmitry DomanovApril 17, 2013 07:53:10 UTC 2013 年 4 月 17 日 (水) 16 時 53 分 10 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:04 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 4 秒 (日本時間)

13×10215+419

c155

composite cofactor 合成数の残り
52034330707729854453704343618167185210061947619768945257511594088687912782107910539779953094761802518458059676784023220346321861049418454146953494702827791<155>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 18, 2013 18:15:18 UTC 2013 年 3 月 19 日 (火) 3 時 15 分 18 秒 (日本時間)
403e61000Dmitry DomanovMarch 21, 2013 20:43:53 UTC 2013 年 3 月 22 日 (金) 5 時 43 分 53 秒 (日本時間)
4511e61300 / 41941000Dmitry DomanovMarch 21, 2013 20:43:53 UTC 2013 年 3 月 22 日 (金) 5 時 43 分 53 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:04 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 4 秒 (日本時間)

13×10216+419

c205

composite cofactor 合成数の残り
4455023265090075942855518659036527571104689393652005396569900715353251661640922651528878364223574606644903900271256325297319898712456438545827987250871175978363505768270067302640213895603248956308425688509<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 18, 2013 18:15:29 UTC 2013 年 3 月 19 日 (火) 3 時 15 分 29 秒 (日本時間)
403e61000Dmitry DomanovMarch 21, 2013 20:44:02 UTC 2013 年 3 月 22 日 (金) 5 時 44 分 2 秒 (日本時間)
4511e6900 / 4194600Dmitry DomanovApril 17, 2013 07:53:23 UTC 2013 年 4 月 17 日 (水) 16 時 53 分 23 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:05 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 5 秒 (日本時間)

13×10217+419

c200

composite cofactor 合成数の残り
12629118317700724984690777332648347699626629493714746330245544187734659308405218745586751875692566975430598593012199085438820000023562999558596460101554521384553447529628113447106945968182926096136203<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 18, 2013 18:15:46 UTC 2013 年 3 月 19 日 (火) 3 時 15 分 46 秒 (日本時間)
403e61000Dmitry DomanovMarch 21, 2013 20:44:10 UTC 2013 年 3 月 22 日 (金) 5 時 44 分 10 秒 (日本時間)
4511e6900 / 4194600Dmitry DomanovApril 17, 2013 07:53:35 UTC 2013 年 4 月 17 日 (水) 16 時 53 分 35 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:05 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 5 秒 (日本時間)

13×10218+419

c219

name 名前Alfred Reich
date 日付March 4, 2017 19:04:22 UTC 2017 年 3 月 5 日 (日) 4 時 4 分 22 秒 (日本時間)
composite number 合成数
144444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449<219>
prime factors 素因数
1986678560604733846358643845135592826608059500195201650031385071569608599534591180232772666674652352667<103>
72706499837838066336324944079269135054056035780069304511069629306176581054576518220912365116864902227426685228207347<116>
factorization results 素因数分解の結果
#
# siever: 14e
# qrange: 10M .. 60M
# params: rlim=alim: 31000000, lpbr=lpba: 31, mfbr=mfba: 60, rlambda=alambda: 2.6
#
Fri Mar 03 13:13:36 2017  
Fri Mar 03 13:13:36 2017  
Fri Mar 03 13:13:36 2017  Msieve v. 1.53 (SVN 988)
Fri Mar 03 13:13:36 2017  random seeds: 5b060668 072ecc79
Fri Mar 03 13:13:36 2017  factoring 144444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449 (219 digits)
Fri Mar 03 13:13:38 2017  searching for 15-digit factors
Fri Mar 03 13:13:39 2017  commencing number field sieve (219-digit input)
Fri Mar 03 13:13:39 2017  R0: -1000000000000000000000000000000000000
Fri Mar 03 13:13:39 2017  R1: 1
Fri Mar 03 13:13:39 2017  A0: 41
Fri Mar 03 13:13:39 2017  A1: 0
Fri Mar 03 13:13:39 2017  A2: 0
Fri Mar 03 13:13:39 2017  A3: 0
Fri Mar 03 13:13:39 2017  A4: 0
Fri Mar 03 13:13:39 2017  A5: 0
Fri Mar 03 13:13:39 2017  A6: 1300
Fri Mar 03 13:13:39 2017  skew 0.56, size 3.028e-011, alpha 0.974, combined = 1.453e-012 rroots = 0
Fri Mar 03 13:13:39 2017  
Fri Mar 03 13:13:39 2017  commencing relation filtering
Fri Mar 03 13:13:39 2017  estimated available RAM is 12279.2 MB
Fri Mar 03 13:13:39 2017  commencing duplicate removal, pass 1
Fri Mar 03 13:13:50 2017  error -9 reading relation 842902
Fri Mar 03 13:15:39 2017  error -15 reading relation 8555105
Fri Mar 03 13:36:16 2017  error -15 reading relation 100499669
Fri Mar 03 13:45:11 2017  skipped 11 relations with b > 2^32
Fri Mar 03 13:45:11 2017  skipped 4 relations with composite factors
Fri Mar 03 13:45:11 2017  found 24953270 hash collisions in 140443201 relations
Fri Mar 03 13:45:34 2017  added 1219632 free relations
Fri Mar 03 13:45:34 2017  commencing duplicate removal, pass 2
Fri Mar 03 13:48:08 2017  found 22370205 duplicates and 119292628 unique relations
Fri Mar 03 13:48:08 2017  memory use: 660.8 MB
Fri Mar 03 13:48:08 2017  reading ideals above 62586880
Fri Mar 03 13:48:08 2017  commencing singleton removal, initial pass
Fri Mar 03 14:10:34 2017  memory use: 3012.0 MB
Fri Mar 03 14:10:35 2017  reading all ideals from disk
Fri Mar 03 14:10:46 2017  memory use: 2091.5 MB
Fri Mar 03 14:10:52 2017  commencing in-memory singleton removal
Fri Mar 03 14:10:58 2017  begin with 119292628 relations and 124236180 unique ideals
Fri Mar 03 14:11:59 2017  reduce to 39770695 relations and 30387446 ideals in 24 passes
Fri Mar 03 14:11:59 2017  max relations containing the same ideal: 29
Fri Mar 03 14:12:03 2017  reading ideals above 720000
Fri Mar 03 14:12:03 2017  commencing singleton removal, initial pass
Fri Mar 03 14:22:07 2017  memory use: 753.0 MB
Fri Mar 03 14:22:07 2017  reading all ideals from disk
Fri Mar 03 14:22:08 2017  memory use: 1450.1 MB
Fri Mar 03 14:22:14 2017  keeping 37578093 ideals with weight <= 200, target excess is 213063
Fri Mar 03 14:22:20 2017  commencing in-memory singleton removal
Fri Mar 03 14:22:24 2017  begin with 39770701 relations and 37578093 unique ideals
Fri Mar 03 14:24:01 2017  reduce to 39705314 relations and 37512654 ideals in 18 passes
Fri Mar 03 14:24:01 2017  max relations containing the same ideal: 200
Fri Mar 03 14:24:30 2017  removing 4377841 relations and 3977841 ideals in 400000 cliques
Fri Mar 03 14:24:32 2017  commencing in-memory singleton removal
Fri Mar 03 14:24:36 2017  begin with 35327473 relations and 37512654 unique ideals
Fri Mar 03 14:25:38 2017  reduce to 34879298 relations and 33079755 ideals in 13 passes
Fri Mar 03 14:25:38 2017  max relations containing the same ideal: 190
Fri Mar 03 14:26:04 2017  removing 3207522 relations and 2807522 ideals in 400000 cliques
Fri Mar 03 14:26:06 2017  commencing in-memory singleton removal
Fri Mar 03 14:26:09 2017  begin with 31671776 relations and 33079755 unique ideals
Fri Mar 03 14:26:56 2017  reduce to 31403876 relations and 30000772 ideals in 11 passes
Fri Mar 03 14:26:56 2017  max relations containing the same ideal: 178
Fri Mar 03 14:27:18 2017  removing 2828508 relations and 2428508 ideals in 400000 cliques
Fri Mar 03 14:27:19 2017  commencing in-memory singleton removal
Fri Mar 03 14:27:23 2017  begin with 28575368 relations and 30000772 unique ideals
Fri Mar 03 14:27:56 2017  reduce to 28351388 relations and 27345194 ideals in 9 passes
Fri Mar 03 14:27:56 2017  max relations containing the same ideal: 169
Fri Mar 03 14:28:16 2017  removing 2626650 relations and 2226650 ideals in 400000 cliques
Fri Mar 03 14:28:17 2017  commencing in-memory singleton removal
Fri Mar 03 14:28:20 2017  begin with 25724738 relations and 27345194 unique ideals
Fri Mar 03 14:28:53 2017  reduce to 25514346 relations and 24905224 ideals in 10 passes
Fri Mar 03 14:28:53 2017  max relations containing the same ideal: 155
Fri Mar 03 14:29:11 2017  removing 2303477 relations and 1941509 ideals in 361968 cliques
Fri Mar 03 14:29:12 2017  commencing in-memory singleton removal
Fri Mar 03 14:29:15 2017  begin with 23210869 relations and 24905224 unique ideals
Fri Mar 03 14:29:45 2017  reduce to 23037904 relations and 22788394 ideals in 10 passes
Fri Mar 03 14:29:45 2017  max relations containing the same ideal: 146
Fri Mar 03 14:30:05 2017  relations with 0 large ideals: 7637
Fri Mar 03 14:30:05 2017  relations with 1 large ideals: 2491
Fri Mar 03 14:30:05 2017  relations with 2 large ideals: 17309
Fri Mar 03 14:30:05 2017  relations with 3 large ideals: 167877
Fri Mar 03 14:30:05 2017  relations with 4 large ideals: 902768
Fri Mar 03 14:30:05 2017  relations with 5 large ideals: 2828445
Fri Mar 03 14:30:05 2017  relations with 6 large ideals: 5383436
Fri Mar 03 14:30:05 2017  relations with 7+ large ideals: 13727941
Fri Mar 03 14:30:05 2017  commencing 2-way merge
Fri Mar 03 14:30:29 2017  reduce to 13034005 relation sets and 12784495 unique ideals
Fri Mar 03 14:30:29 2017  commencing full merge
Fri Mar 03 14:35:17 2017  memory use: 1600.6 MB
Fri Mar 03 14:35:20 2017  found 7071812 cycles, need 7038695
Fri Mar 03 14:35:21 2017  weight of 7038695 cycles is about 492957789 (70.04/cycle)
Fri Mar 03 14:35:21 2017  distribution of cycle lengths:
Fri Mar 03 14:35:21 2017  1 relations: 1056853
Fri Mar 03 14:35:21 2017  2 relations: 929084
Fri Mar 03 14:35:21 2017  3 relations: 858623
Fri Mar 03 14:35:21 2017  4 relations: 748542
Fri Mar 03 14:35:21 2017  5 relations: 633301
Fri Mar 03 14:35:21 2017  6 relations: 551370
Fri Mar 03 14:35:21 2017  7 relations: 470180
Fri Mar 03 14:35:21 2017  8 relations: 392976
Fri Mar 03 14:35:21 2017  9 relations: 325876
Fri Mar 03 14:35:21 2017  10+ relations: 1071890
Fri Mar 03 14:35:21 2017  heaviest cycle: 24 relations
Fri Mar 03 14:35:22 2017  commencing cycle optimization
Fri Mar 03 14:35:34 2017  start with 37636437 relations
Fri Mar 03 14:36:44 2017  pruned 618984 relations
Fri Mar 03 14:36:44 2017  memory use: 1320.6 MB
Fri Mar 03 14:36:44 2017  distribution of cycle lengths:
Fri Mar 03 14:36:44 2017  1 relations: 1056853
Fri Mar 03 14:36:44 2017  2 relations: 943665
Fri Mar 03 14:36:44 2017  3 relations: 879807
Fri Mar 03 14:36:44 2017  4 relations: 758681
Fri Mar 03 14:36:44 2017  5 relations: 642080
Fri Mar 03 14:36:44 2017  6 relations: 554329
Fri Mar 03 14:36:44 2017  7 relations: 471469
Fri Mar 03 14:36:44 2017  8 relations: 391345
Fri Mar 03 14:36:44 2017  9 relations: 322944
Fri Mar 03 14:36:44 2017  10+ relations: 1017522
Fri Mar 03 14:36:44 2017  heaviest cycle: 24 relations
Fri Mar 03 14:36:55 2017  RelProcTime: 4996
Fri Mar 03 14:36:55 2017  
Fri Mar 03 14:36:55 2017  commencing linear algebra
Fri Mar 03 14:36:57 2017  read 7038695 cycles
Fri Mar 03 14:37:12 2017  cycles contain 22732490 unique relations
Fri Mar 03 14:42:14 2017  read 22732490 relations
Fri Mar 03 14:42:55 2017  using 20 quadratic characters above 4294917295
Fri Mar 03 14:45:05 2017  building initial matrix
Fri Mar 03 14:49:15 2017  memory use: 2797.3 MB
Fri Mar 03 14:49:23 2017  read 7038695 cycles
Fri Mar 03 14:49:24 2017  matrix is 7038518 x 7038695 (2100.3 MB) with weight 604654910 (85.90/col)
Fri Mar 03 14:49:24 2017  sparse part has weight 480196195 (68.22/col)
Fri Mar 03 14:50:46 2017  filtering completed in 2 passes
Fri Mar 03 14:50:47 2017  matrix is 7032527 x 7032704 (2099.9 MB) with weight 604506312 (85.96/col)
Fri Mar 03 14:50:47 2017  sparse part has weight 480152039 (68.27/col)
Fri Mar 03 14:51:16 2017  matrix starts at (0, 0)
Fri Mar 03 14:51:17 2017  matrix is 7032527 x 7032704 (2099.9 MB) with weight 604506312 (85.96/col)
Fri Mar 03 14:51:17 2017  sparse part has weight 480152039 (68.27/col)
Fri Mar 03 14:51:17 2017  saving the first 48 matrix rows for later
Fri Mar 03 14:51:20 2017  matrix includes 64 packed rows
Fri Mar 03 14:51:23 2017  matrix is 7032479 x 7032704 (2014.4 MB) with weight 488418845 (69.45/col)
Fri Mar 03 14:51:23 2017  sparse part has weight 457744006 (65.09/col)
Fri Mar 03 14:51:23 2017  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Fri Mar 03 14:52:02 2017  commencing Lanczos iteration (16 threads)
Fri Mar 03 14:52:02 2017  memory use: 1659.8 MB
Fri Mar 03 14:52:25 2017  linear algebra at 0.0%, ETA 28h30m
Fri Mar 03 14:52:32 2017  checkpointing every 250000 dimensions
Sat Mar 04 14:48:09 2017  lanczos halted after 111213 iterations (dim = 7032473)
Sat Mar 04 14:48:23 2017  recovered 33 nontrivial dependencies
Sat Mar 04 14:48:26 2017  BLanczosTime: 87091
Sat Mar 04 14:48:26 2017  
Sat Mar 04 14:48:26 2017  commencing square root phase
Sat Mar 04 14:48:26 2017  reading relations for dependency 1
Sat Mar 04 14:48:29 2017  read 3512726 cycles
Sat Mar 04 14:48:36 2017  cycles contain 11359198 unique relations
Sat Mar 04 14:51:38 2017  read 11359198 relations
Sat Mar 04 14:52:55 2017  multiplying 11359198 relations
Sat Mar 04 15:10:01 2017  multiply complete, coefficients have about 387.17 million bits
Sat Mar 04 15:10:03 2017  initial square root is modulo 8851267
Sat Mar 04 15:30:11 2017  GCD is N, no factor found
Sat Mar 04 15:30:11 2017  reading relations for dependency 2
Sat Mar 04 15:30:14 2017  read 3519253 cycles
Sat Mar 04 15:30:22 2017  cycles contain 11374664 unique relations
Sat Mar 04 15:33:19 2017  read 11374664 relations
Sat Mar 04 15:34:41 2017  multiplying 11374664 relations
Sat Mar 04 15:52:44 2017  multiply complete, coefficients have about 387.68 million bits
Sat Mar 04 15:52:46 2017  initial square root is modulo 9042433
Sat Mar 04 16:13:34 2017  GCD is 1, no factor found
Sat Mar 04 16:13:34 2017  reading relations for dependency 3
Sat Mar 04 16:13:36 2017  read 3517322 cycles
Sat Mar 04 16:13:44 2017  cycles contain 11368542 unique relations
Sat Mar 04 16:16:46 2017  read 11368542 relations
Sat Mar 04 16:18:04 2017  multiplying 11368542 relations
Sat Mar 04 16:36:08 2017  multiply complete, coefficients have about 387.47 million bits
Sat Mar 04 16:36:10 2017  initial square root is modulo 8964217
Sat Mar 04 16:57:29 2017  sqrtTime: 7743
Sat Mar 04 16:57:29 2017  p103 factor: 1986678560604733846358643845135592826608059500195201650031385071569608599534591180232772666674652352667
Sat Mar 04 16:57:29 2017  p116 factor: 72706499837838066336324944079269135054056035780069304511069629306176581054576518220912365116864902227426685228207347
Sat Mar 04 16:57:29 2017  elapsed time 27:43:53
#
# P103-1 = 2 * 7^2 * 31 * 691 * 19790024489 * 71738368909397 * 32663298405247180811291111452708516063052622676151948556372083931725233702
# P103+1 = 2^2 * 3^4 * 61 * 1049 * 1907 * 23623 * 10006364591033 * 17218694662530034826262745066625587049123902035044745053178183308386356055968
# P116-1 = 2 * 3 * 941 * 99349994561 * 85708409854983144916936766440814479129 * 1512310886853559736472416617291917704924128746754954858806032279
# P116+1 = 2 * 2 * 122483 * 34810380601 * 7642622279 * 52490422752346737913306477071975008326243 * 10626890194990729589407110456923320058486756798987
#

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 18, 2013 18:15:57 UTC 2013 年 3 月 19 日 (火) 3 時 15 分 57 秒 (日本時間)
403e61000Dmitry DomanovMarch 21, 2013 20:44:23 UTC 2013 年 3 月 22 日 (金) 5 時 44 分 23 秒 (日本時間)
4511e649501000Dmitry DomanovMarch 21, 2013 20:44:23 UTC 2013 年 3 月 22 日 (金) 5 時 44 分 23 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:14:53 UTC 2013 年 11 月 9 日 (土) 2 時 14 分 53 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:28:04 UTC 2014 年 1 月 6 日 (月) 11 時 28 分 4 秒 (日本時間)
1800Serge BatalovMay 24, 2014 09:17:27 UTC 2014 年 5 月 24 日 (土) 18 時 17 分 27 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:35 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 35 秒 (日本時間)

13×10219+419

c168

name 名前Warut Roonguthai
date 日付March 16, 2013 16:35:09 UTC 2013 年 3 月 17 日 (日) 1 時 35 分 9 秒 (日本時間)
composite number 合成数
250983052914014874090577473000999224684197156311714461290866851356270778322202530394515624755894403361318552255635645354980814360900617722120492300727510766499204134803<168>
prime factors 素因数
29609464266756459256502523733<29>
8476446944560289915551162612959523799718374613813445095421485104048164776715498685492691964303959613092636962833875705880184650668713214791<139>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1705958756
Step 1 took 7754ms
Step 2 took 5881ms
********** Factor found in step 2: 29609464266756459256502523733
Found probable prime factor of 29 digits: 29609464266756459256502523733
Probable prime cofactor 8476446944560289915551162612959523799718374613813445095421485104048164776715498685492691964303959613092636962833875705880184650668713214791 has 139 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 KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)

13×10220+419

c187

name 名前Warut Roonguthai
date 日付March 16, 2013 17:25:31 UTC 2013 年 3 月 17 日 (日) 2 時 25 分 31 秒 (日本時間)
composite number 合成数
4304863100855215906606639860283972807380840120698276017542683134116211707756916735140411031064496597189974192277637279372190841245374387233162464242334108554056115754193765165733164131759<187>
prime factors 素因数
53128254723729662430324917442089<32>
composite cofactor 合成数の残り
81027752995854664891283547901516312410094077839379023342155442099029735040383969586885550912822343220500160827812429388473783117428366221583605907302443031<155>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1468565207
Step 1 took 10452ms
Step 2 took 6490ms
********** Factor found in step 2: 53128254723729662430324917442089
Found probable prime factor of 32 digits: 53128254723729662430324917442089
Composite cofactor 81027752995854664891283547901516312410094077839379023342155442099029735040383969586885550912822343220500160827812429388473783117428366221583605907302443031 has 155 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 18, 2013 18:20:30 UTC 2013 年 3 月 19 日 (火) 3 時 20 分 30 秒 (日本時間)
403e61000Dmitry DomanovMarch 21, 2013 20:44:42 UTC 2013 年 3 月 22 日 (金) 5 時 44 分 42 秒 (日本時間)
4511e61300 / 41941000Dmitry DomanovMarch 21, 2013 20:44:42 UTC 2013 年 3 月 22 日 (金) 5 時 44 分 42 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:06 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 6 秒 (日本時間)

13×10221+419

c222

name 名前Alfred Reich
date 日付April 1, 2017 06:31:42 UTC 2017 年 4 月 1 日 (土) 15 時 31 分 42 秒 (日本時間)
composite number 合成数
144444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449<222>
prime factors 素因数
3291659861208257158438545278634621322651960453818188143505937220725796048313<76>
43881947265178172915797615882198995737239246858549359364955202655453806642417076434398814801843300618942063090580345993552002516787050543577135273<146>
factorization results 素因数分解の結果
Mon Mar 27 19:51:00 2017  
Mon Mar 27 19:51:00 2017  
Mon Mar 27 19:51:00 2017  Msieve v. 1.53 (SVN 988)
Mon Mar 27 19:51:00 2017  random seeds: bc3600b8 04f98114
Mon Mar 27 19:51:00 2017  factoring 144444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449 (222 digits)
Mon Mar 27 19:51:02 2017  searching for 15-digit factors
Mon Mar 27 19:51:03 2017  commencing number field sieve (222-digit input)
Mon Mar 27 19:51:03 2017  elapsed time 00:00:03
Mon Mar 27 19:52:13 2017  
Mon Mar 27 19:52:13 2017  
Mon Mar 27 19:52:13 2017  Msieve v. 1.53 (SVN 988)
Mon Mar 27 19:52:13 2017  random seeds: ed99fe70 c0ea14ce
Mon Mar 27 19:52:13 2017  factoring 144444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449 (222 digits)
Mon Mar 27 19:52:15 2017  searching for 15-digit factors
Mon Mar 27 19:52:16 2017  commencing number field sieve (222-digit input)
Mon Mar 27 19:52:16 2017  R0: -10000000000000000000000000000000000000
Mon Mar 27 19:52:16 2017  R1: 1
Mon Mar 27 19:52:16 2017  A0: 410
Mon Mar 27 19:52:16 2017  A1: 0
Mon Mar 27 19:52:16 2017  A2: 0
Mon Mar 27 19:52:16 2017  A3: 0
Mon Mar 27 19:52:16 2017  A4: 0
Mon Mar 27 19:52:16 2017  A5: 0
Mon Mar 27 19:52:16 2017  A6: 13
Mon Mar 27 19:52:16 2017  skew 1.78, size 2.797e-011, alpha 0.676, combined = 1.369e-012 rroots = 0
Mon Mar 27 19:52:16 2017  
Mon Mar 27 19:52:16 2017  commencing relation filtering
Mon Mar 27 19:52:16 2017  estimated available RAM is 12279.2 MB
Mon Mar 27 19:52:16 2017  commencing duplicate removal, pass 1
Mon Mar 27 20:21:01 2017  skipped 22 relations with b > 2^32
Mon Mar 27 20:21:01 2017  found 10449797 hash collisions in 116376604 relations
Mon Mar 27 20:21:26 2017  added 1220053 free relations
Mon Mar 27 20:21:26 2017  commencing duplicate removal, pass 2
Mon Mar 27 20:23:14 2017  found 5737519 duplicates and 111859138 unique relations
Mon Mar 27 20:23:14 2017  memory use: 394.4 MB
Mon Mar 27 20:23:14 2017  reading ideals above 86179840
Mon Mar 27 20:23:14 2017  commencing singleton removal, initial pass
Mon Mar 27 20:45:01 2017  memory use: 3012.0 MB
Mon Mar 27 20:45:01 2017  reading all ideals from disk
Mon Mar 27 20:45:07 2017  memory use: 1909.5 MB
Mon Mar 27 20:45:13 2017  commencing in-memory singleton removal
Mon Mar 27 20:45:19 2017  begin with 111859138 relations and 125751211 unique ideals
Mon Mar 27 20:46:10 2017  reduce to 22582562 relations and 15493406 ideals in 29 passes
Mon Mar 27 20:46:10 2017  max relations containing the same ideal: 34
Mon Mar 27 20:46:12 2017  reading ideals above 720000
Mon Mar 27 20:46:13 2017  commencing singleton removal, initial pass
Mon Mar 27 20:52:03 2017  memory use: 689.0 MB
Mon Mar 27 20:52:04 2017  reading all ideals from disk
Mon Mar 27 20:52:06 2017  memory use: 847.5 MB
Mon Mar 27 20:52:09 2017  keeping 25216229 ideals with weight <= 200, target excess is 127268
Mon Mar 27 20:52:12 2017  commencing in-memory singleton removal
Mon Mar 27 20:52:15 2017  begin with 22582636 relations and 25216229 unique ideals
Mon Mar 27 20:54:07 2017  reduce to 19464444 relations and 22060543 ideals in 39 passes
Mon Mar 27 20:54:07 2017  max relations containing the same ideal: 189
Mon Mar 27 20:54:09 2017  filtering wants 1000000 more relations
Mon Mar 27 20:54:09 2017  elapsed time 01:01:56
Thu Mar 30 08:51:48 2017  
Thu Mar 30 08:51:48 2017  
Thu Mar 30 08:51:48 2017  Msieve v. 1.53 (SVN 988)
Thu Mar 30 08:51:48 2017  random seeds: f838d720 fb3e1e33
Thu Mar 30 08:51:48 2017  factoring 144444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449 (222 digits)
Thu Mar 30 08:51:50 2017  searching for 15-digit factors
Thu Mar 30 08:51:51 2017  commencing number field sieve (222-digit input)
Thu Mar 30 08:51:51 2017  elapsed time 00:00:03
Thu Mar 30 08:52:05 2017  
Thu Mar 30 08:52:05 2017  
Thu Mar 30 08:52:05 2017  Msieve v. 1.53 (SVN 988)
Thu Mar 30 08:52:05 2017  random seeds: d559ef80 bcd78a1e
Thu Mar 30 08:52:05 2017  factoring 144444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449 (222 digits)
Thu Mar 30 08:52:07 2017  searching for 15-digit factors
Thu Mar 30 08:52:08 2017  commencing number field sieve (222-digit input)
Thu Mar 30 08:52:08 2017  R0: -10000000000000000000000000000000000000
Thu Mar 30 08:52:08 2017  R1: 1
Thu Mar 30 08:52:08 2017  A0: 410
Thu Mar 30 08:52:08 2017  A1: 0
Thu Mar 30 08:52:08 2017  A2: 0
Thu Mar 30 08:52:08 2017  A3: 0
Thu Mar 30 08:52:08 2017  A4: 0
Thu Mar 30 08:52:08 2017  A5: 0
Thu Mar 30 08:52:08 2017  A6: 13
Thu Mar 30 08:52:08 2017  skew 1.78, size 2.797e-011, alpha 0.676, combined = 1.369e-012 rroots = 0
Thu Mar 30 08:52:08 2017  
Thu Mar 30 08:52:08 2017  commencing relation filtering
Thu Mar 30 08:52:08 2017  estimated available RAM is 12279.2 MB
Thu Mar 30 08:52:08 2017  commencing duplicate removal, pass 1
Thu Mar 30 09:27:19 2017  skipped 22 relations with b > 2^32
Thu Mar 30 09:27:19 2017  found 12842986 hash collisions in 143870696 relations
Thu Mar 30 09:27:44 2017  added 1220053 free relations
Thu Mar 30 09:27:44 2017  commencing duplicate removal, pass 2
Thu Mar 30 09:30:04 2017  found 9607277 duplicates and 135483472 unique relations
Thu Mar 30 09:30:04 2017  memory use: 522.4 MB
Thu Mar 30 09:30:04 2017  reading ideals above 86179840
Thu Mar 30 09:30:04 2017  commencing singleton removal, initial pass
Thu Mar 30 09:55:55 2017  memory use: 3012.0 MB
Thu Mar 30 09:55:55 2017  reading all ideals from disk
Thu Mar 30 09:56:07 2017  memory use: 2309.9 MB
Thu Mar 30 09:56:15 2017  keeping 137357796 ideals with weight <= 200, target excess is 10178773
Thu Mar 30 09:56:24 2017  commencing in-memory singleton removal
Thu Mar 30 09:56:31 2017  begin with 135483472 relations and 137357796 unique ideals
Thu Mar 30 09:58:05 2017  reduce to 50099915 relations and 36259918 ideals in 25 passes
Thu Mar 30 09:58:05 2017  max relations containing the same ideal: 53
Thu Mar 30 09:58:11 2017  reading ideals above 720000
Thu Mar 30 09:58:11 2017  commencing singleton removal, initial pass
Thu Mar 30 10:10:15 2017  memory use: 1378.0 MB
Thu Mar 30 10:10:15 2017  reading all ideals from disk
Thu Mar 30 10:10:27 2017  memory use: 1883.4 MB
Thu Mar 30 10:10:34 2017  keeping 45992224 ideals with weight <= 200, target excess is 272520
Thu Mar 30 10:10:42 2017  commencing in-memory singleton removal
Thu Mar 30 10:10:49 2017  begin with 50099915 relations and 45992224 unique ideals
Thu Mar 30 10:12:39 2017  reduce to 49902597 relations and 45794451 ideals in 16 passes
Thu Mar 30 10:12:39 2017  max relations containing the same ideal: 200
Thu Mar 30 10:13:17 2017  removing 4417512 relations and 4017512 ideals in 400000 cliques
Thu Mar 30 10:13:19 2017  commencing in-memory singleton removal
Thu Mar 30 10:13:25 2017  begin with 45485085 relations and 45794451 unique ideals
Thu Mar 30 10:14:26 2017  reduce to 45147920 relations and 41435626 ideals in 10 passes
Thu Mar 30 10:14:26 2017  max relations containing the same ideal: 193
Thu Mar 30 10:15:00 2017  removing 3200276 relations and 2800276 ideals in 400000 cliques
Thu Mar 30 10:15:02 2017  commencing in-memory singleton removal
Thu Mar 30 10:15:07 2017  begin with 41947644 relations and 41435626 unique ideals
Thu Mar 30 10:16:03 2017  reduce to 41750815 relations and 38436461 ideals in 10 passes
Thu Mar 30 10:16:03 2017  max relations containing the same ideal: 184
Thu Mar 30 10:16:34 2017  removing 2817494 relations and 2417494 ideals in 400000 cliques
Thu Mar 30 10:16:35 2017  commencing in-memory singleton removal
Thu Mar 30 10:16:40 2017  begin with 38933321 relations and 38436461 unique ideals
Thu Mar 30 10:17:26 2017  reduce to 38769593 relations and 35853702 ideals in 9 passes
Thu Mar 30 10:17:26 2017  max relations containing the same ideal: 177
Thu Mar 30 10:17:55 2017  removing 2605621 relations and 2205621 ideals in 400000 cliques
Thu Mar 30 10:17:56 2017  commencing in-memory singleton removal
Thu Mar 30 10:18:01 2017  begin with 36163972 relations and 35853702 unique ideals
Thu Mar 30 10:18:43 2017  reduce to 36016212 relations and 33498812 ideals in 9 passes
Thu Mar 30 10:18:43 2017  max relations containing the same ideal: 167
Thu Mar 30 10:19:09 2017  removing 2469894 relations and 2069894 ideals in 400000 cliques
Thu Mar 30 10:19:10 2017  commencing in-memory singleton removal
Thu Mar 30 10:19:14 2017  begin with 33546318 relations and 33498812 unique ideals
Thu Mar 30 10:19:53 2017  reduce to 33405679 relations and 31286764 ideals in 9 passes
Thu Mar 30 10:19:53 2017  max relations containing the same ideal: 161
Thu Mar 30 10:20:17 2017  removing 2370222 relations and 1970222 ideals in 400000 cliques
Thu Mar 30 10:20:18 2017  commencing in-memory singleton removal
Thu Mar 30 10:20:22 2017  begin with 31035457 relations and 31286764 unique ideals
Thu Mar 30 10:21:02 2017  reduce to 30896248 relations and 29175769 ideals in 10 passes
Thu Mar 30 10:21:02 2017  max relations containing the same ideal: 153
Thu Mar 30 10:21:24 2017  removing 2300081 relations and 1900081 ideals in 400000 cliques
Thu Mar 30 10:21:26 2017  commencing in-memory singleton removal
Thu Mar 30 10:21:29 2017  begin with 28596167 relations and 29175769 unique ideals
Thu Mar 30 10:21:58 2017  reduce to 28456706 relations and 27134612 ideals in 8 passes
Thu Mar 30 10:21:58 2017  max relations containing the same ideal: 146
Thu Mar 30 10:22:19 2017  removing 2247099 relations and 1847099 ideals in 400000 cliques
Thu Mar 30 10:22:20 2017  commencing in-memory singleton removal
Thu Mar 30 10:22:23 2017  begin with 26209607 relations and 27134612 unique ideals
Thu Mar 30 10:22:52 2017  reduce to 26067034 relations and 25143156 ideals in 9 passes
Thu Mar 30 10:22:52 2017  max relations containing the same ideal: 133
Thu Mar 30 10:23:11 2017  removing 2208425 relations and 1808425 ideals in 400000 cliques
Thu Mar 30 10:23:13 2017  commencing in-memory singleton removal
Thu Mar 30 10:23:15 2017  begin with 23858609 relations and 25143156 unique ideals
Thu Mar 30 10:23:42 2017  reduce to 23707100 relations and 23181274 ideals in 9 passes
Thu Mar 30 10:23:42 2017  max relations containing the same ideal: 128
Thu Mar 30 10:23:59 2017  removing 1296894 relations and 1087192 ideals in 209702 cliques
Thu Mar 30 10:24:00 2017  commencing in-memory singleton removal
Thu Mar 30 10:24:02 2017  begin with 22410206 relations and 23181274 unique ideals
Thu Mar 30 10:24:24 2017  reduce to 22355688 relations and 22039131 ideals in 8 passes
Thu Mar 30 10:24:24 2017  max relations containing the same ideal: 121
Thu Mar 30 10:24:45 2017  relations with 0 large ideals: 9660
Thu Mar 30 10:24:45 2017  relations with 1 large ideals: 2981
Thu Mar 30 10:24:45 2017  relations with 2 large ideals: 19387
Thu Mar 30 10:24:45 2017  relations with 3 large ideals: 183395
Thu Mar 30 10:24:45 2017  relations with 4 large ideals: 943878
Thu Mar 30 10:24:45 2017  relations with 5 large ideals: 2861399
Thu Mar 30 10:24:45 2017  relations with 6 large ideals: 5273508
Thu Mar 30 10:24:45 2017  relations with 7+ large ideals: 13061480
Thu Mar 30 10:24:45 2017  commencing 2-way merge
Thu Mar 30 10:25:08 2017  reduce to 12872065 relation sets and 12555508 unique ideals
Thu Mar 30 10:25:08 2017  commencing full merge
Thu Mar 30 10:29:47 2017  memory use: 1573.6 MB
Thu Mar 30 10:29:49 2017  found 6942921 cycles, need 6899708
Thu Mar 30 10:29:50 2017  weight of 6899708 cycles is about 483241207 (70.04/cycle)
Thu Mar 30 10:29:50 2017  distribution of cycle lengths:
Thu Mar 30 10:29:50 2017  1 relations: 942075
Thu Mar 30 10:29:50 2017  2 relations: 862990
Thu Mar 30 10:29:50 2017  3 relations: 835934
Thu Mar 30 10:29:50 2017  4 relations: 755253
Thu Mar 30 10:29:50 2017  5 relations: 656321
Thu Mar 30 10:29:50 2017  6 relations: 584906
Thu Mar 30 10:29:50 2017  7 relations: 506575
Thu Mar 30 10:29:50 2017  8 relations: 426642
Thu Mar 30 10:29:50 2017  9 relations: 350961
Thu Mar 30 10:29:50 2017  10+ relations: 978051
Thu Mar 30 10:29:50 2017  heaviest cycle: 20 relations
Thu Mar 30 10:29:52 2017  commencing cycle optimization
Thu Mar 30 10:30:02 2017  start with 36757060 relations
Thu Mar 30 10:31:09 2017  pruned 607856 relations
Thu Mar 30 10:31:09 2017  memory use: 1289.0 MB
Thu Mar 30 10:31:09 2017  distribution of cycle lengths:
Thu Mar 30 10:31:09 2017  1 relations: 942075
Thu Mar 30 10:31:09 2017  2 relations: 876970
Thu Mar 30 10:31:09 2017  3 relations: 856990
Thu Mar 30 10:31:09 2017  4 relations: 765924
Thu Mar 30 10:31:09 2017  5 relations: 667071
Thu Mar 30 10:31:09 2017  6 relations: 588994
Thu Mar 30 10:31:09 2017  7 relations: 509204
Thu Mar 30 10:31:09 2017  8 relations: 425968
Thu Mar 30 10:31:09 2017  9 relations: 347987
Thu Mar 30 10:31:09 2017  10+ relations: 918525
Thu Mar 30 10:31:09 2017  heaviest cycle: 20 relations
Thu Mar 30 10:31:19 2017  RelProcTime: 5951
Thu Mar 30 10:31:19 2017  
Thu Mar 30 10:31:19 2017  commencing linear algebra
Thu Mar 30 10:31:21 2017  read 6899708 cycles
Thu Mar 30 10:31:35 2017  cycles contain 22076768 unique relations
Thu Mar 30 10:36:04 2017  read 22076768 relations
Thu Mar 30 10:36:47 2017  using 20 quadratic characters above 4294917295
Thu Mar 30 10:39:08 2017  building initial matrix
Thu Mar 30 10:43:48 2017  memory use: 2839.5 MB
Thu Mar 30 10:43:57 2017  read 6899708 cycles
Thu Mar 30 10:43:58 2017  matrix is 6899531 x 6899708 (2087.5 MB) with weight 613703897 (88.95/col)
Thu Mar 30 10:43:58 2017  sparse part has weight 471341640 (68.31/col)
Thu Mar 30 10:45:42 2017  filtering completed in 2 passes
Thu Mar 30 10:45:44 2017  matrix is 6894832 x 6895009 (2087.3 MB) with weight 613583649 (88.99/col)
Thu Mar 30 10:45:44 2017  sparse part has weight 471315721 (68.36/col)
Thu Mar 30 10:46:07 2017  matrix starts at (0, 0)
Thu Mar 30 10:46:08 2017  matrix is 6894832 x 6895009 (2087.3 MB) with weight 613583649 (88.99/col)
Thu Mar 30 10:46:08 2017  sparse part has weight 471315721 (68.36/col)
Thu Mar 30 10:46:08 2017  saving the first 48 matrix rows for later
Thu Mar 30 10:46:11 2017  matrix includes 64 packed rows
Thu Mar 30 10:46:12 2017  matrix is 6894784 x 6895009 (1993.5 MB) with weight 487171431 (70.66/col)
Thu Mar 30 10:46:12 2017  sparse part has weight 453623846 (65.79/col)
Thu Mar 30 10:46:12 2017  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Thu Mar 30 10:46:54 2017  commencing Lanczos iteration (16 threads)
Thu Mar 30 10:46:54 2017  memory use: 1651.0 MB
Thu Mar 30 10:47:13 2017  linear algebra at 0.0%, ETA 22h48m
Thu Mar 30 10:47:19 2017  checkpointing every 310000 dimensions
Fri Mar 31 09:59:47 2017  lanczos halted after 109030 iterations (dim = 6894784)
Fri Mar 31 09:59:56 2017  recovered 35 nontrivial dependencies
Fri Mar 31 09:59:59 2017  BLanczosTime: 84520
Fri Mar 31 09:59:59 2017  
Fri Mar 31 09:59:59 2017  commencing square root phase
Fri Mar 31 09:59:59 2017  reading relations for dependency 1
Fri Mar 31 10:00:01 2017  read 3445684 cycles
Fri Mar 31 10:00:07 2017  cycles contain 11031756 unique relations
Fri Mar 31 10:02:46 2017  read 11031756 relations
Fri Mar 31 10:03:53 2017  multiplying 11031756 relations
Fri Mar 31 10:19:17 2017  multiply complete, coefficients have about 322.11 million bits
Fri Mar 31 10:19:19 2017  initial square root is modulo 602317
Fri Mar 31 10:36:00 2017  sqrtTime: 2161
Fri Mar 31 10:36:00 2017  p76 factor: 3291659861208257158438545278634621322651960453818188143505937220725796048313
Fri Mar 31 10:36:00 2017  p146 factor: 43881947265178172915797615882198995737239246858549359364955202655453806642417076434398814801843300618942063090580345993552002516787050543577135273
Fri Mar 31 10:36:00 2017  elapsed time 25:43:55

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 18, 2013 18:20:40 UTC 2013 年 3 月 19 日 (火) 3 時 20 分 40 秒 (日本時間)
403e61000Dmitry DomanovMarch 21, 2013 20:44:56 UTC 2013 年 3 月 22 日 (金) 5 時 44 分 56 秒 (日本時間)
4511e649501000Dmitry DomanovMarch 21, 2013 20:44:56 UTC 2013 年 3 月 22 日 (金) 5 時 44 分 56 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:15:12 UTC 2013 年 11 月 9 日 (土) 2 時 15 分 12 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:28:15 UTC 2014 年 1 月 6 日 (月) 11 時 28 分 15 秒 (日本時間)
1800Serge BatalovMay 24, 2014 09:17:33 UTC 2014 年 5 月 24 日 (土) 18 時 17 分 33 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:40 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 40 秒 (日本時間)

13×10223+419

c217

name 名前Warut Roonguthai
date 日付March 16, 2013 17:24:01 UTC 2013 年 3 月 17 日 (日) 2 時 24 分 1 秒 (日本時間)
composite number 合成数
2531631617298000090866100971634372492163285643430631141799160094210191597191392304498107634577203790678232484132560671574098238173293027421095225512194353437156324922298870290549323749588682890024189350621495114252827<217>
prime factors 素因数
2355949015956686027723706138476329<34>
composite cofactor 合成数の残り
1074569780649507899433294414201576966203203366500279686097571530254688941838788534509513448481822505849686447216183124777530796782031293036276979461842301924953721678000087832266412963<184>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3412955925
Step 1 took 12948ms
Step 2 took 7004ms
********** Factor found in step 2: 2355949015956686027723706138476329
Found probable prime factor of 34 digits: 2355949015956686027723706138476329
Composite cofactor 1074569780649507899433294414201576966203203366500279686097571530254688941838788534509513448481822505849686447216183124777530796782031293036276979461842301924953721678000087832266412963 has 184 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 18, 2013 18:20:59 UTC 2013 年 3 月 19 日 (火) 3 時 20 分 59 秒 (日本時間)
403e61000Dmitry DomanovMarch 21, 2013 20:45:11 UTC 2013 年 3 月 22 日 (金) 5 時 45 分 11 秒 (日本時間)
4511e6900 / 4194600Dmitry DomanovApril 17, 2013 07:53:51 UTC 2013 年 4 月 17 日 (水) 16 時 53 分 51 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:06 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 6 秒 (日本時間)

13×10224+419

c225

name 名前Dmitry Domanov
date 日付March 20, 2013 05:02:56 UTC 2013 年 3 月 20 日 (水) 14 時 2 分 56 秒 (日本時間)
composite number 合成数
144444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449<225>
prime factors 素因数
73520866808676412958354778485567215637<38>
1964672761820568364610981351864787821240706963282134202454522332178433396073741536489020649789163165672456157929421359642992217925578767946007169288356379864570619383558225330879193549277<187>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3309321575
Step 1 took 30403ms
Step 2 took 11356ms
********** Factor found in step 2: 73520866808676412958354778485567215637
Found probable prime factor of 38 digits: 73520866808676412958354778485567215637

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 18, 2013 18:20:53 UTC 2013 年 3 月 19 日 (火) 3 時 20 分 53 秒 (日本時間)

13×10225+419

c209

name 名前Warut Roonguthai
date 日付March 17, 2013 09:04:37 UTC 2013 年 3 月 17 日 (日) 18 時 4 分 37 秒 (日本時間)
composite number 合成数
73545420770547472197949040812694972455380792339162808842707325412867714054567592460882824748664519126322341155663415911234624363523656795625231187710779825666501578407148434645871223049530333318124023753736549<209>
prime factors 素因数
1702802814902795569168778068061023<34>
composite cofactor 合成数の残り
43190802908524560791153998368870924278707749868141311887796079718650652709919572723464368930480999208951030950022933476976879277723740382923978612341922185046036931410208312763<176>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4251136759
Step 1 took 12184ms
Step 2 took 7223ms
********** Factor found in step 2: 1702802814902795569168778068061023
Found probable prime factor of 34 digits: 1702802814902795569168778068061023
Composite cofactor 43190802908524560791153998368870924278707749868141311887796079718650652709919572723464368930480999208951030950022933476976879277723740382923978612341922185046036931410208312763 has 176 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 18, 2013 18:21:18 UTC 2013 年 3 月 19 日 (火) 3 時 21 分 18 秒 (日本時間)
403e61000Dmitry DomanovMarch 21, 2013 20:45:18 UTC 2013 年 3 月 22 日 (金) 5 時 45 分 18 秒 (日本時間)
4511e6900 / 4194600Dmitry DomanovApril 17, 2013 07:54:03 UTC 2013 年 4 月 17 日 (水) 16 時 54 分 3 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:06 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 6 秒 (日本時間)

13×10227+419

c224

name 名前Warut Roonguthai
date 日付March 16, 2013 17:55:32 UTC 2013 年 3 月 17 日 (日) 2 時 55 分 32 秒 (日本時間)
composite number 合成数
18780970542770048686054407026972363079501292997587367630274924514945318481919704127479449284156084312110836620003178318091853392854563053496872246059607911122668631445123448764067669281555642236958060648087952729741833889539<224>
prime factors 素因数
367308589090259647087472751519812627<36>
composite cofactor 合成数の残り
51131313289695369452434714453110178323043189453225089475349786442182848638350992685541577609137541606622152704033920851786267375638192857567832677530700645061116268432689968392566096197457<188>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2435196714
Step 1 took 13573ms
Step 2 took 7987ms
********** Factor found in step 2: 367308589090259647087472751519812627
Found probable prime factor of 36 digits: 367308589090259647087472751519812627
Composite cofactor 51131313289695369452434714453110178323043189453225089475349786442182848638350992685541577609137541606622152704033920851786267375638192857567832677530700645061116268432689968392566096197457 has 188 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 18, 2013 18:21:30 UTC 2013 年 3 月 19 日 (火) 3 時 21 分 30 秒 (日本時間)
403e61000Dmitry DomanovMarch 21, 2013 20:45:25 UTC 2013 年 3 月 22 日 (金) 5 時 45 分 25 秒 (日本時間)
4511e6900 / 4194600Dmitry DomanovApril 17, 2013 07:54:17 UTC 2013 年 4 月 17 日 (水) 16 時 54 分 17 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:07 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 7 秒 (日本時間)

13×10228+419

c155

composite cofactor 合成数の残り
29063008892671185327117123685445459558005573530203893105655739719110795232395337392745026202869887644224505929156750614601976151178895590117657467906297953<155>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 18, 2013 18:21:38 UTC 2013 年 3 月 19 日 (火) 3 時 21 分 38 秒 (日本時間)
403e61000Dmitry DomanovMarch 21, 2013 20:45:42 UTC 2013 年 3 月 22 日 (金) 5 時 45 分 42 秒 (日本時間)
4511e642101000Dmitry DomanovMarch 21, 2013 20:45:42 UTC 2013 年 3 月 22 日 (金) 5 時 45 分 42 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:11:58 UTC 2013 年 11 月 9 日 (土) 2 時 11 分 58 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:25:54 UTC 2014 年 1 月 6 日 (月) 11 時 25 分 54 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:47 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 47 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:07 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 7 秒 (日本時間)
760Ignacio SantosDecember 25, 2015 19:09:54 UTC 2015 年 12 月 26 日 (土) 4 時 9 分 54 秒 (日本時間)

13×10229+419

c225

name 名前Warut Roonguthai
date 日付March 16, 2013 18:02:11 UTC 2013 年 3 月 17 日 (日) 3 時 2 分 11 秒 (日本時間)
composite number 合成数
623384594728084435045722862390248346832007442253007830669563007399095612811032948273464435908870762782980641510700636331813233975419465903260301430427881595289130570300998853931398922983230954401814528697270055001702319470219<225>
prime factors 素因数
222255729389241312399591128937577<33>
composite cofactor 合成数の残り
2804807761046903682322030402446814214513385459913654158594645081868497697020004578330768109256474917094038920652871334894382953296458699939485471639716875384753536867027537850281024156250203347<193>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3336638193
Step 1 took 14118ms
Step 2 took 8065ms
********** Factor found in step 2: 222255729389241312399591128937577
Found probable prime factor of 33 digits: 222255729389241312399591128937577
Composite cofactor 2804807761046903682322030402446814214513385459913654158594645081868497697020004578330768109256474917094038920652871334894382953296458699939485471639716875384753536867027537850281024156250203347 has 193 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 18, 2013 18:21:43 UTC 2013 年 3 月 19 日 (火) 3 時 21 分 43 秒 (日本時間)
403e61000Dmitry DomanovMarch 21, 2013 20:46:03 UTC 2013 年 3 月 22 日 (金) 5 時 46 分 3 秒 (日本時間)
4511e6900 / 4194600Dmitry DomanovApril 17, 2013 07:54:36 UTC 2013 年 4 月 17 日 (水) 16 時 54 分 36 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:08 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 8 秒 (日本時間)

13×10232+419

c211

name 名前Dmitry Domanov
date 日付March 18, 2013 09:17:05 UTC 2013 年 3 月 18 日 (月) 18 時 17 分 5 秒 (日本時間)
composite number 合成数
8679975270517664457689010505521181177682035786670279148051416134772796912955158490619328166603851934713890103056489952126795650634743588891591808257707063233869329861507018435439021395467045486705245544864057229<211>
prime factors 素因数
104867419123812538417403992927506929<36>
composite cofactor 合成数の残り
82770943950375891104827352245172657132247265537458103988715192402536380889689549608630416735753105905734241446943969423477988150294213654524781198965797726154601455754907300701<176>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2613719965
Step 1 took 26916ms
Step 2 took 10646ms
********** Factor found in step 2: 104867419123812538417403992927506929
Found probable prime factor of 36 digits: 104867419123812538417403992927506929

c176

name 名前Dmitry Domanov
date 日付March 19, 2013 05:04:41 UTC 2013 年 3 月 19 日 (火) 14 時 4 分 41 秒 (日本時間)
composite number 合成数
82770943950375891104827352245172657132247265537458103988715192402536380889689549608630416735753105905734241446943969423477988150294213654524781198965797726154601455754907300701<176>
prime factors 素因数
487762758394822596951941673627995525890387333061423<51>
169695087469913879689783648461864919325565111751812571780004180088243683035393795327312894567125941052173456976432728672110387<126>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=980161206
Step 1 took 22879ms
Step 2 took 8920ms
********** Factor found in step 2: 487762758394822596951941673627995525890387333061423
Found probable prime factor of 51 digits: 487762758394822596951941673627995525890387333061423

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 18, 2013 18:22:06 UTC 2013 年 3 月 19 日 (火) 3 時 22 分 6 秒 (日本時間)

13×10233+419

c208

composite cofactor 合成数の残り
3392165741020946417599060183367898665966857085737212833968791087878151771657582153883521250545349508346486882911899254865276158523469201975116427494738568937193924942124456444690883674184671441838485469711167<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 18, 2013 18:22:12 UTC 2013 年 3 月 19 日 (火) 3 時 22 分 12 秒 (日本時間)
403e61000Dmitry DomanovMarch 21, 2013 20:46:11 UTC 2013 年 3 月 22 日 (金) 5 時 46 分 11 秒 (日本時間)
4511e6900 / 4194600Dmitry DomanovApril 17, 2013 07:54:56 UTC 2013 年 4 月 17 日 (水) 16 時 54 分 56 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:08 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 8 秒 (日本時間)

13×10234+419

c186

name 名前Warut Roonguthai
date 日付March 17, 2013 02:07:12 UTC 2013 年 3 月 17 日 (日) 11 時 7 分 12 秒 (日本時間)
composite number 合成数
510191257621976948013977242608752693891806401839679979456266760623238756772205992866064891913868936090193254496263615529438178288989107623668783162546366054136304859416100251446163968001<186>
prime factors 素因数
4638834624513966762093058458846919<34>
composite cofactor 合成数の残り
109982635493377210974914261241930622374906954487273755014815013742015503865757325030457957465001551244511477192326812537031121244446350580966920471890679<153>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2604120718
Step 1 took 8611ms
Step 2 took 5320ms
********** Factor found in step 2: 4638834624513966762093058458846919
Found probable prime factor of 34 digits: 4638834624513966762093058458846919
Composite cofactor 109982635493377210974914261241930622374906954487273755014815013742015503865757325030457957465001551244511477192326812537031121244446350580966920471890679 has 153 digits
software ソフトウェア
GMP-ECM 6.3

c153

name 名前Dmitry Domanov
date 日付March 19, 2013 05:06:11 UTC 2013 年 3 月 19 日 (火) 14 時 6 分 11 秒 (日本時間)
composite number 合成数
109982635493377210974914261241930622374906954487273755014815013742015503865757325030457957465001551244511477192326812537031121244446350580966920471890679<153>
prime factors 素因数
31922275928944527692959943857242694308161<41>
3445325632113025118141845333127852179038552755470212952787776541533397536439120596586203666497852613511666128439<112>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2803497294
Step 1 took 16464ms
Step 2 took 7286ms
********** Factor found in step 2: 31922275928944527692959943857242694308161
Found probable prime factor of 41 digits: 31922275928944527692959943857242694308161

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 18, 2013 18:22:18 UTC 2013 年 3 月 19 日 (火) 3 時 22 分 18 秒 (日本時間)

13×10235+419

c223

name 名前Warut Roonguthai
date 日付March 17, 2013 04:53:11 UTC 2013 年 3 月 17 日 (日) 13 時 53 分 11 秒 (日本時間)
composite number 合成数
8834900591884351270957797098327479773328248263745873637167488558519261094136036772795900333432271536239344489474747178784248397928974824879916289733959009189578733547227853719793438473413778653570738095603546808869084308359<223>
prime factors 素因数
3097230046173969404160748365363283<34>
2852516752121195401587137900789614596406563734905431118613439008130531556988626708865378962733648386928858276616886771476926368332180077146270013213900750081393259899243392122014134642798973<190>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=218724130
Step 1 took 11544ms
********** Factor found in step 1: 3097230046173969404160748365363283
Found probable prime factor of 34 digits: 3097230046173969404160748365363283
Probable prime cofactor 2852516752121195401587137900789614596406563734905431118613439008130531556988626708865378962733648386928858276616886771476926368332180077146270013213900750081393259899243392122014134642798973 has 190 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 KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)

13×10236+419

c215

composite cofactor 合成数の残り
52577852030308731148737714695004361531186539454593068484161272661204007239234612497092308503902779831491931760817950622878104584795017020261898772949470645671832787235160923936690249969561164533890119984093203546763<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 18, 2013 18:22:23 UTC 2013 年 3 月 19 日 (火) 3 時 22 分 23 秒 (日本時間)
403e61000Dmitry DomanovMarch 21, 2013 20:46:19 UTC 2013 年 3 月 22 日 (金) 5 時 46 分 19 秒 (日本時間)
4511e6900 / 4194600Dmitry DomanovApril 18, 2013 15:48:43 UTC 2013 年 4 月 19 日 (金) 0 時 48 分 43 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:08 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 8 秒 (日本時間)

13×10237+419

c233

composite cofactor 合成数の残り
23858157746468533842796763365615256007208834125240646225731206653856671199716638495688096798051706133565308036345150462389449555595930899434194612827980847405058296490832044075193572245254520662082229893537559163643103983027673627743<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 18, 2013 18:22:39 UTC 2013 年 3 月 19 日 (火) 3 時 22 分 39 秒 (日本時間)
403e61000Dmitry DomanovMarch 21, 2013 20:46:31 UTC 2013 年 3 月 22 日 (金) 5 時 46 分 31 秒 (日本時間)
4511e642501000Dmitry DomanovMarch 21, 2013 20:46:31 UTC 2013 年 3 月 22 日 (金) 5 時 46 分 31 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:17:08 UTC 2013 年 11 月 9 日 (土) 2 時 17 分 8 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:29:45 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 45 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:24:23 UTC 2014 年 2 月 24 日 (月) 4 時 24 分 23 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:04:20 UTC 2014 年 5 月 25 日 (日) 4 時 4 分 20 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:09 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 9 秒 (日本時間)

13×10240+419

c183

composite cofactor 合成数の残り
513187008943933210439032276376352487595258622719368444285280672699496155685620946096806765256883868704610452357267102353402090787789984164046498107900764805847800216518144679101857259<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 18, 2013 18:22:44 UTC 2013 年 3 月 19 日 (火) 3 時 22 分 44 秒 (日本時間)
403e61000Dmitry DomanovMarch 21, 2013 20:46:43 UTC 2013 年 3 月 22 日 (金) 5 時 46 分 43 秒 (日本時間)
4511e6900 / 4194600Dmitry DomanovApril 18, 2013 15:48:59 UTC 2013 年 4 月 19 日 (金) 0 時 48 分 59 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:09 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 9 秒 (日本時間)

13×10242+419

c214

composite cofactor 合成数の残り
1265170297297223715488303906767163320533256705155957783070799782920982080926386215929258970225945237709413513394258076191794012694020892368068157785086055883658302414296773690666804207952102180372438111384687672663<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 18, 2013 18:22:59 UTC 2013 年 3 月 19 日 (火) 3 時 22 分 59 秒 (日本時間)
403e61000Dmitry DomanovMarch 21, 2013 20:46:52 UTC 2013 年 3 月 22 日 (金) 5 時 46 分 52 秒 (日本時間)
4511e6900 / 4194600Dmitry DomanovApril 18, 2013 15:49:10 UTC 2013 年 4 月 19 日 (金) 0 時 49 分 10 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:10 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 10 秒 (日本時間)

13×10244+419

c212

name 名前Warut Roonguthai
date 日付March 16, 2013 15:18:55 UTC 2013 年 3 月 17 日 (日) 0 時 18 分 55 秒 (日本時間)
composite number 合成数
22102427868398217720755935875202687289949975281655238787724265946151525583997328017815235236556737429657760344725759496959629135721890378624644611523027947885976772363565982939503068450375773489185580103249373293<212>
prime factors 素因数
186833647164693802179161901384839<33>
118300039654607472240227716669946501605218333048750739348289045239559415759845092617482089783386116398265039295719679392648079174266019604032737726738467755186774159336587588295787<180>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=301508255
Step 1 took 9906ms
Step 2 took 6068ms
********** Factor found in step 2: 186833647164693802179161901384839
Found probable prime factor of 33 digits: 186833647164693802179161901384839
Probable prime cofactor 118300039654607472240227716669946501605218333048750739348289045239559415759845092617482089783386116398265039295719679392648079174266019604032737726738467755186774159336587588295787 has 180 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 KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)

13×10246+419

c205

composite cofactor 合成数の残り
2541293546593521233455192410663187109223399728978600873072543272372200145973618131929427462053384881536931694530321267069017425100765286399823668882268816019411253465005743285313615135883545371893842323833<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 18, 2013 18:23:05 UTC 2013 年 3 月 19 日 (火) 3 時 23 分 5 秒 (日本時間)
403e61000Dmitry DomanovMarch 21, 2013 20:47:00 UTC 2013 年 3 月 22 日 (金) 5 時 47 分 0 秒 (日本時間)
4511e6900 / 4194600Dmitry DomanovApril 18, 2013 15:49:28 UTC 2013 年 4 月 19 日 (金) 0 時 49 分 28 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:10 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 10 秒 (日本時間)

13×10247+419

c241

name 名前Warut Roonguthai
date 日付March 16, 2013 15:10:36 UTC 2013 年 3 月 17 日 (日) 0 時 10 分 36 秒 (日本時間)
composite number 合成数
1720181035557187345750208727428462599711451540230912603278180756649680672870248160329235240195030950092639026453751126668957683162792600643921983121027928316774672202632668267678852945176864448980164870354388124261802502813124520822070282601<241>
prime factors 素因数
211718585447934178282218330454643<33>
composite cofactor 合成数の残り
8124846630340887866407252863438127664401107185579025490132408186530946584827370384613703711572485590299317822190549640417710275485656385891376435264256515508001444157427888534555645704760403160852193696950707<208>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1173901065
Step 1 took 13167ms
Step 2 took 7160ms
********** Factor found in step 2: 211718585447934178282218330454643
Found probable prime factor of 33 digits: 211718585447934178282218330454643
Composite cofactor 8124846630340887866407252863438127664401107185579025490132408186530946584827370384613703711572485590299317822190549640417710275485656385891376435264256515508001444157427888534555645704760403160852193696950707 has 208 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 18, 2013 18:23:15 UTC 2013 年 3 月 19 日 (火) 3 時 23 分 15 秒 (日本時間)
403e61000Dmitry DomanovMarch 21, 2013 20:47:07 UTC 2013 年 3 月 22 日 (金) 5 時 47 分 7 秒 (日本時間)
4511e6900 / 4194600Dmitry DomanovApril 18, 2013 15:49:39 UTC 2013 年 4 月 19 日 (金) 0 時 49 分 39 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:10 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 10 秒 (日本時間)

13×10248+419

c232

name 名前Warut Roonguthai
date 日付March 16, 2013 15:09:39 UTC 2013 年 3 月 17 日 (日) 0 時 9 分 39 秒 (日本時間)
composite number 合成数
4078379242703903370298933076851885302794199252826025123789019590554250679373598087752797649239131861602193116478267398414498530336684144658292187294239438085795710222692438339304271332040293587883975610367975386268907674157592835007<232>
prime factors 素因数
399437860900287566842309004431<30>
16774485823764325428060878175572959<35>
4946658050419372187464658526132341099<37>
123048769132810895238851038213566852891489422431556666203583971003244010887607005588356583615520068314796137214687670842947193894317<132>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2215209449
Step 1 took 11123ms
********** Factor found in step 1: 399437860900287566842309004431
Found probable prime factor of 30 digits: 399437860900287566842309004431
Composite cofactor 10210297124843648559093575603610453005228413666512234844099972947846610228374976062518650004396991775802613185803546919063515040621873853388478399985620487626906746995629431143093602344791578265459449297 has 203 digits

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1811545134
Step 1 took 9812ms
Step 2 took 5928ms
********** Factor found in step 2: 16774485823764325428060878175572959
Found probable prime factor of 35 digits: 16774485823764325428060878175572959
Composite cofactor 608680184425013765537029819231393557487754444313690610641103112927659054044342669740379205521037640922618673958350363280026475851582652975026353073154425035682001634383 has 168 digits

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2651448214
Step 1 took 6381ms
Step 2 took 4742ms
********** Factor found in step 2: 4946658050419372187464658526132341099
Found probable prime factor of 37 digits: 4946658050419372187464658526132341099
Probable prime cofactor 123048769132810895238851038213566852891489422431556666203583971003244010887607005588356583615520068314796137214687670842947193894317 has 132 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 KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)

13×10249+419

c236

name 名前Warut Roonguthai
date 日付March 16, 2013 20:56:52 UTC 2013 年 3 月 17 日 (日) 5 時 56 分 52 秒 (日本時間)
composite number 合成数
79517663642405351834529250173524483307496678002428196332197762163771115170613985531823095550196752472285491031798126045879035150144945556637941219627477803860375645814539946077804764085365146888289558650638408963828306094895542967861403<236>
prime factors 素因数
52471161017506680749956905259391527<35>
1515454624986757421354568905844193688711242404113164472211630515843803815311878504832063063064554495474929742632877170381192671067830905102561611673816685787520684629388857103263621984104272371982676589<202>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3464715775
Step 1 took 12667ms
Step 2 took 7176ms
********** Factor found in step 2: 52471161017506680749956905259391527
Found probable prime factor of 35 digits: 52471161017506680749956905259391527
Probable prime cofactor 1515454624986757421354568905844193688711242404113164472211630515843803815311878504832063063064554495474929742632877170381192671067830905102561611673816685787520684629388857103263621984104272371982676589 has 202 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 KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)

13×10251+419

c225

name 名前Dmitry Domanov
date 日付November 22, 2015 14:24:01 UTC 2015 年 11 月 22 日 (日) 23 時 24 分 1 秒 (日本時間)
composite number 合成数
863151587787606691135420004950084370595644070924002148441092002332344474905022348744321396556297889827913455971835533324187205723536446925805347851496315664050144144755401030466620804417825392694963317608046740056976760722749<225>
prime factors 素因数
10480814051886030806983933877849171<35>
composite cofactor 合成数の残り
82355395631914858545961750096821484744134141775094517119520116220050446196128806026817364742167952291481230956471429168300298333241812041926880524667114827611204284855592001436376746177193519<191>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3663789449
Step 1 took 34988ms
Step 2 took 11435ms
********** Factor found in step 2: 10480814051886030806983933877849171
Found probable prime factor of 35 digits: 10480814051886030806983933877849171

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 22, 2015 10:01:31 UTC 2015 年 11 月 22 日 (日) 19 時 1 分 31 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovNovember 25, 2015 21:59:03 UTC 2015 年 11 月 26 日 (木) 6 時 59 分 3 秒 (日本時間)

13×10253+419

c188

composite cofactor 合成数の残り
14296047733719607975001284776619063131042247734190534287797977110492582777928578151989759112537433071263985994746291084160697508426483661147327939960997863930662797524008931441567497491317<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 22, 2015 10:01:43 UTC 2015 年 11 月 22 日 (日) 19 時 1 分 43 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovNovember 25, 2015 21:59:15 UTC 2015 年 11 月 26 日 (木) 6 時 59 分 15 秒 (日本時間)

13×10254+419

c197

composite cofactor 合成数の残り
81375967817584661096619351380922200135039183247734849936373917077798885835338608220858907439149062660563486869960812456428026843508592019031984362089658543846679795506634657121554447439998918948721<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 22, 2015 10:01:55 UTC 2015 年 11 月 22 日 (日) 19 時 1 分 55 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovNovember 25, 2015 21:59:29 UTC 2015 年 11 月 26 日 (木) 6 時 59 分 29 秒 (日本時間)

13×10255+419

c193

composite cofactor 合成数の残り
5446840695103308302758804027943602715548025472823252711313823277208312132869669967399689413424586215028490916689906408074924462820641742765066374815542587777920529485756040446795525884768865643<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 22, 2015 10:02:08 UTC 2015 年 11 月 22 日 (日) 19 時 2 分 8 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovNovember 25, 2015 21:59:42 UTC 2015 年 11 月 26 日 (木) 6 時 59 分 42 秒 (日本時間)

13×10256+419

c252

name 名前Dmitry Domanov
date 日付November 21, 2015 19:24:14 UTC 2015 年 11 月 22 日 (日) 4 時 24 分 14 秒 (日本時間)
composite number 合成数
642346442141879505689707139433648083089982854291121289831655820894047424931935982765350844685571416571549981964888355247229263327453392824496128627404475672363785495817336436360761526412791588226283828187150106481275601211564212409145036885509158377927<252>
prime factors 素因数
3898635542259357153074109406438413419<37>
composite cofactor 合成数の残り
164761859676071084981896837430216879721661737203949900334384947635428210121866681093666611288693869774641180749408360958672042274757821731979023460523858420239615984022134877713058748956009689693102502137495675782933<216>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2473837334
Step 1 took 44706ms
Step 2 took 16096ms
********** Factor found in step 2: 3898635542259357153074109406438413419
Found probable prime factor of 37 digits: 3898635542259357153074109406438413419

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
403e6600 / 2089Dmitry DomanovNovember 21, 2015 09:23:23 UTC 2015 年 11 月 21 日 (土) 18 時 23 分 23 秒 (日本時間)

13×10257+419

c240

composite cofactor 合成数の残り
101509837973294496434811066515072347211349126605989522835042080827969227154386903870561750331439859263148382502963803391543048869702335736614426732711668248953523033818075787086739051208275340061068813095133198493622120428722233031695873211<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 23, 2015 13:37:07 UTC 2015 年 11 月 23 日 (月) 22 時 37 分 7 秒 (日本時間)

13×10259+419

c254

composite cofactor 合成数の残り
41348166510974916611880346039624902155925208164163671310065765849149802180829526916543178777067543502246954787052171526189451573822539394465643331351801968999689252625529057742078406937840665158412777474027785331769736513579851102071765786173363956421577<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovNovember 21, 2015 09:22:04 UTC 2015 年 11 月 21 日 (土) 18 時 22 分 4 秒 (日本時間)
4511e6800 / 4305Dmitry DomanovFebruary 4, 2016 18:13:57 UTC 2016 年 2 月 5 日 (金) 3 時 13 分 57 秒 (日本時間)

13×10260+419

c261

composite cofactor 合成数の残り
144444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449<261>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovNovember 20, 2015 22:26:26 UTC 2015 年 11 月 21 日 (土) 7 時 26 分 26 秒 (日本時間)
4511e6800Dmitry DomanovFebruary 4, 2016 18:10:28 UTC 2016 年 2 月 5 日 (金) 3 時 10 分 28 秒 (日本時間)
5043e66900600Dmitry DomanovFebruary 8, 2016 14:38:12 UTC 2016 年 2 月 8 日 (月) 23 時 38 分 12 秒 (日本時間)
2200Dmitry DomanovDecember 18, 2016 15:29:28 UTC 2016 年 12 月 19 日 (月) 0 時 29 分 28 秒 (日本時間)
2500Dmitry DomanovDecember 29, 2016 12:44:07 UTC 2016 年 12 月 29 日 (木) 21 時 44 分 7 秒 (日本時間)
1600Dmitry DomanovJanuary 10, 2017 15:13:32 UTC 2017 年 1 月 11 日 (水) 0 時 13 分 32 秒 (日本時間)
5511e715252200Dmitry DomanovFebruary 13, 2016 20:55:32 UTC 2016 年 2 月 14 日 (日) 5 時 55 分 32 秒 (日本時間)
15052rerwregreNovember 29, 2017 23:09:19 UTC 2017 年 11 月 30 日 (木) 8 時 9 分 19 秒 (日本時間)

13×10261+419

c233

composite cofactor 合成数の残り
13427927031197845202202406211066791424376365273452132831275254812584312525903991277727308352137179034073665322848040085966231958426767506782559247627449981244872369813359448996207638448156732386256980190041108484728138524747392222007<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 23, 2015 13:37:31 UTC 2015 年 11 月 23 日 (月) 22 時 37 分 31 秒 (日本時間)

13×10262+419

c263

name 名前Dmitry Domanov
date 日付December 16, 2016 06:42:54 UTC 2016 年 12 月 16 日 (金) 15 時 42 分 54 秒 (日本時間)
composite number 合成数
14444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449<263>
prime factors 素因数
1202931019774811400999099216304705904862747845932441<52>
12007708012341757874824423396338007347126084736237878402330065047560669830572908312352151474031050879998449157709981523283497259504440785415939380595359664108055586477082391944816054645418403906055349142058009289<212>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3573630776
Step 1 took 545370ms
Step 2 took 125698ms
********** Factor found in step 2: 1202931019774811400999099216304705904862747845932441
Found probable prime factor of 52 digits: 1202931019774811400999099216304705904862747845932441

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovNovember 20, 2015 22:25:18 UTC 2015 年 11 月 21 日 (土) 7 時 25 分 18 秒 (日本時間)
4511e6800Dmitry DomanovFebruary 3, 2016 20:54:36 UTC 2016 年 2 月 4 日 (木) 5 時 54 分 36 秒 (日本時間)
5043e62600 / 6864600Dmitry DomanovFebruary 8, 2016 14:30:33 UTC 2016 年 2 月 8 日 (月) 23 時 30 分 33 秒 (日本時間)
2000Dmitry DomanovDecember 14, 2016 14:37:53 UTC 2016 年 12 月 14 日 (水) 23 時 37 分 53 秒 (日本時間)
5511e7200 / 16786Dmitry DomanovFebruary 12, 2016 20:28:55 UTC 2016 年 2 月 13 日 (土) 5 時 28 分 55 秒 (日本時間)

13×10263+419

c227

name 名前Dmitry Domanov
date 日付November 23, 2015 13:56:58 UTC 2015 年 11 月 23 日 (月) 22 時 56 分 58 秒 (日本時間)
composite number 合成数
11589993073439673023513950762379931742901659984980960336368552348499031316652830695310084576576521731641398740611120496521825107702464467064359437234320338294379313377501168438052445284825705819363129659270730413011458449121661<227>
prime factors 素因数
5289963361719864886113732533<28>
2190940140967545757724642836881093108561533447730836542175260551300206263511823375975989293927694920349100984057261332379277392505067463693511138951921611490963887139842356594292436669518104098914217<199>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1962993712
Step 1 took 34220ms
********** Factor found in step 1: 5289963361719864886113732533
Found probable prime factor of 28 digits: 5289963361719864886113732533

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 23, 2015 13:37:45 UTC 2015 年 11 月 23 日 (月) 22 時 37 分 45 秒 (日本時間)

13×10264+419

c206

name 名前Dmitry Domanov
date 日付November 22, 2015 15:24:15 UTC 2015 年 11 月 23 日 (月) 0 時 24 分 15 秒 (日本時間)
composite number 合成数
17414152697564192483505953705330907438932707245883036715084779625661220447075887405021114130161643931296256297316447471839182946800256098384681992522964079342936356987754693093696310002448287458237672327811<206>
prime factors 素因数
224614374295860588361794651551599<33>
77529110735479396194565399815746985224140179709522448262209721662202346335572309217524909450088175486812585536320635348233601556003582039261573711231483751783927070633964589<173>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1549992291
Step 1 took 28794ms
********** Factor found in step 1: 224614374295860588361794651551599
Found probable prime factor of 33 digits: 224614374295860588361794651551599

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 22, 2015 10:02:32 UTC 2015 年 11 月 22 日 (日) 19 時 2 分 32 秒 (日本時間)

13×10265+419

c188

composite cofactor 合成数の残り
29279142422821554210032663081306487572021902968547099746548446644008092266887726488763147813431119194503397530685123510178420385023884587994279683602515657424440090690309495521589311518301<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 22, 2015 10:03:08 UTC 2015 年 11 月 22 日 (日) 19 時 3 分 8 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovNovember 26, 2015 10:56:27 UTC 2015 年 11 月 26 日 (木) 19 時 56 分 27 秒 (日本時間)

13×10266+419

c201

name 名前Dmitry Domanov
date 日付November 22, 2015 19:04:46 UTC 2015 年 11 月 23 日 (月) 4 時 4 分 46 秒 (日本時間)
composite number 合成数
274856147108975639583233398933613213621362703697102518002884823967138917108639917655231412588879810775629303330326554739878573215615503934194128354857048070384914919482391270123149708748561493611798463<201>
prime factors 素因数
3023953838091507289567260396929483<34>
composite cofactor 合成数の残り
90892970536363812776143935291186537769019503185841288278039093498378640185164701565947855979987467060265808449647458318696732726760248979617409393417423199859867700061<167>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3472308409
Step 1 took 20973ms
Step 2 took 8176ms
********** Factor found in step 2: 3023953838091507289567260396929483
Found probable prime factor of 34 digits: 3023953838091507289567260396929483

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 22, 2015 10:03:24 UTC 2015 年 11 月 22 日 (日) 19 時 3 分 24 秒 (日本時間)
4511e61400600Dmitry DomanovNovember 25, 2015 18:44:57 UTC 2015 年 11 月 26 日 (木) 3 時 44 分 57 秒 (日本時間)
800Dmitry DomanovFebruary 11, 2016 06:20:33 UTC 2016 年 2 月 11 日 (木) 15 時 20 分 33 秒 (日本時間)
5043e6600 / 6927Dmitry DomanovFebruary 25, 2016 13:27:51 UTC 2016 年 2 月 25 日 (木) 22 時 27 分 51 秒 (日本時間)
5511e7120 / 17463Dmitry DomanovFebruary 28, 2016 22:07:35 UTC 2016 年 2 月 29 日 (月) 7 時 7 分 35 秒 (日本時間)

13×10267+419

c191

name 名前Dmitry Domanov
date 日付November 26, 2015 11:33:58 UTC 2015 年 11 月 26 日 (木) 20 時 33 分 58 秒 (日本時間)
composite number 合成数
12938082769553150276010664655097953933043519192776823272551092269236107649677595203955526395635920957374166805850217313860702688902892310748800954627734778638970182549948915677070233049177017<191>
prime factors 素因数
4277770555152726003762533915374482785853667<43>
3024491987764227270788634338102829512239292648454935828461752837710997691273128014916594256655918026067449482838237179027195413088390470125791920051<148>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3934545698
Step 1 took 81767ms
Step 2 took 28382ms
********** Factor found in step 2: 4277770555152726003762533915374482785853667
Found probable prime factor of 43 digits: 4277770555152726003762533915374482785853667

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 22, 2015 10:03:37 UTC 2015 年 11 月 22 日 (日) 19 時 3 分 37 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovNovember 26, 2015 10:56:53 UTC 2015 年 11 月 26 日 (木) 19 時 56 分 53 秒 (日本時間)

13×10268+419

c239

composite cofactor 合成数の残り
24877433039723207066740437246889486586040463949714292234264365824063303618835109076597391362547625461765653278090433314627758980330287876667846498507210856140704381219515039870572024301344127912347341804833121555193335175710322929961451311<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 23, 2015 13:38:09 UTC 2015 年 11 月 23 日 (月) 22 時 38 分 9 秒 (日本時間)

13×10269+419

c215

composite cofactor 合成数の残り
10108659750461953575665300609943605225404588227021323277136420958397214782885812386857472702108170981088687774821347791900417821877124048760115210182677526828351940547028420756705131867046584060666113875073525207301<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 22, 2015 10:03:53 UTC 2015 年 11 月 22 日 (日) 19 時 3 分 53 秒 (日本時間)

13×10271+419

c219

composite cofactor 合成数の残り
226153690875594288416821813678593893015658452279214500723110069915001719112769193572131974480293920710129213887144396790928374760422241071713157045462659788216011740545490745944558103687576585283714400535571145086568809<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 22, 2015 10:04:11 UTC 2015 年 11 月 22 日 (日) 19 時 4 分 11 秒 (日本時間)

13×10272+419

c220

name 名前Dmitry Domanov
date 日付November 22, 2015 15:24:46 UTC 2015 年 11 月 23 日 (月) 0 時 24 分 46 秒 (日本時間)
composite number 合成数
6751068717029284681215736481211059467728842789961050327307006772429081253448048527111214213708760267409652356969919423033661249767760388567651270472924246857768120923961776178449339560769655352579343825642769575639635949<220>
prime factors 素因数
990566958937521288005885940957195973<36>
composite cofactor 合成数の残り
6815358271459465758129486999777009243872839983961058812941597757475643906801114670846094765986651764104223095242232110350287979662331829946470835733762642779337976881953964679713167113<184>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2676768102
Step 1 took 35247ms
Step 2 took 11812ms
********** Factor found in step 2: 990566958937521288005885940957195973
Found probable prime factor of 36 digits: 990566958937521288005885940957195973

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e61000600Dmitry DomanovNovember 22, 2015 10:04:31 UTC 2015 年 11 月 22 日 (日) 19 時 4 分 31 秒 (日本時間)
400Serge BatalovDecember 4, 2015 16:01:59 UTC 2015 年 12 月 5 日 (土) 1 時 1 分 59 秒 (日本時間)
4511e61400600Serge BatalovDecember 4, 2015 16:01:59 UTC 2015 年 12 月 5 日 (土) 1 時 1 分 59 秒 (日本時間)
800Dmitry DomanovFebruary 10, 2016 13:33:03 UTC 2016 年 2 月 10 日 (水) 22 時 33 分 3 秒 (日本時間)
5043e6600 / 6912Dmitry DomanovFebruary 11, 2016 14:25:37 UTC 2016 年 2 月 11 日 (木) 23 時 25 分 37 秒 (日本時間)
5511e7120 / 17460Dmitry DomanovFebruary 27, 2016 21:12:42 UTC 2016 年 2 月 28 日 (日) 6 時 12 分 42 秒 (日本時間)

13×10273+419

c249

composite cofactor 合成数の残り
684348906650856527604469303776976242047134523735574890102114628675303513241813604881223538586084565031649192579301029396785459362520117629610327343890943094597535587579569673463203783836953588128235114586036996432206536404147697747437739935207323511<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 23, 2015 16:35:36 UTC 2015 年 11 月 24 日 (火) 1 時 35 分 36 秒 (日本時間)

13×10275+419

c270

composite cofactor 合成数の残り
508569593249951392483106687338064595380075573441556942776922989653738436398873479230213415361696650756262545531648872599013609713522748122302380614266003022468213422403429480370974133759279928049138776514569149620783126756276628997308102022190064975633648372635982707069<270>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovNovember 20, 2015 20:43:56 UTC 2015 年 11 月 21 日 (土) 5 時 43 分 56 秒 (日本時間)
4511e6800 / 4305Dmitry DomanovJanuary 23, 2016 15:36:25 UTC 2016 年 1 月 24 日 (日) 0 時 36 分 25 秒 (日本時間)

13×10276+419

c227

name 名前Dmitry Domanov
date 日付November 23, 2015 15:53:12 UTC 2015 年 11 月 24 日 (火) 0 時 53 分 12 秒 (日本時間)
composite number 合成数
18826798921711027029411756458735013378257450349646551407342090764878968899892920592441356211918883047938931926653183526070041312679423963622733783626077560634193807385682457225165140228877530506990513837586393262541393628298937<227>
prime factors 素因数
4006327201802498894809844233489<31>
composite cofactor 合成数の残り
4699266428673275733772112582907417677140281037678668912085133223509155686954778537241376033502931831282726867785755674934077642926624749495684174314558110913564577277625202898586173999854447464233<196>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3598407417
Step 1 took 39309ms
********** Factor found in step 1: 4006327201802498894809844233489
Found probable prime factor of 31 digits: 4006327201802498894809844233489

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 23, 2015 13:57:22 UTC 2015 年 11 月 23 日 (月) 22 時 57 分 22 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovJanuary 23, 2017 06:45:20 UTC 2017 年 1 月 23 日 (月) 15 時 45 分 20 秒 (日本時間)

13×10277+419

c234

composite cofactor 合成数の残り
241012343655812860107231342580021190005341404038354724333566135303386149690626087377097458043373816668948461070270626538529016938490713684672920697796652881728311805257154938263890274026266486857217952474288031569003111861827355622437<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 23, 2015 16:36:32 UTC 2015 年 11 月 24 日 (火) 1 時 36 分 32 秒 (日本時間)

13×10278+419

c223

name 名前Dmitry Domanov
date 日付November 22, 2015 14:23:28 UTC 2015 年 11 月 22 日 (日) 23 時 23 分 28 秒 (日本時間)
composite number 合成数
7990878905744455314319628887132429775798158775880831628717773281083285760748017442132234518933940515926119487255846898277747843812718915171784156869486298006955930918149757860982840665713261797318025604825327334695240053067<223>
prime factors 素因数
8115891827760610508863680975649105674611<40>
composite cofactor 合成数の残り
984596526830416174917523715482535165397109963059265873854723005004231030236482044025010390617603680619968470581839059117975223636542309930360050352086459547800837256482790375176157897<183>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2954691085
Step 1 took 34041ms
Step 2 took 11027ms
********** Factor found in step 2: 8115891827760610508863680975649105674611
Found probable prime factor of 40 digits: 8115891827760610508863680975649105674611

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e61000600Dmitry DomanovNovember 22, 2015 10:04:50 UTC 2015 年 11 月 22 日 (日) 19 時 4 分 50 秒 (日本時間)
400Serge BatalovDecember 4, 2015 16:02:12 UTC 2015 年 12 月 5 日 (土) 1 時 2 分 12 秒 (日本時間)
4511e61400600Serge BatalovDecember 4, 2015 16:02:12 UTC 2015 年 12 月 5 日 (土) 1 時 2 分 12 秒 (日本時間)
800Dmitry DomanovFebruary 10, 2016 13:33:20 UTC 2016 年 2 月 10 日 (水) 22 時 33 分 20 秒 (日本時間)
5043e6600 / 6912Dmitry DomanovFebruary 11, 2016 14:25:58 UTC 2016 年 2 月 11 日 (木) 23 時 25 分 58 秒 (日本時間)
5511e7120 / 17460Dmitry DomanovFebruary 27, 2016 21:13:05 UTC 2016 年 2 月 28 日 (日) 6 時 13 分 5 秒 (日本時間)

13×10279+419

c255

composite cofactor 合成数の残り
494300632454996013087434424612601170922415582442886786946570562465244005112778968525707513914686213168480601636222645561509842505521902176182614733106782849634659897277459769064327378712520211579403766251457125700570560618438551714499697743767276425115281<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 23, 2015 16:36:58 UTC 2015 年 11 月 24 日 (火) 1 時 36 分 58 秒 (日本時間)

13×10280+419

c277

name 名前Dmitry Domanov
date 日付January 23, 2016 19:43:25 UTC 2016 年 1 月 24 日 (日) 4 時 43 分 25 秒 (日本時間)
composite number 合成数
1924130071192812634134067462960496129538356792919201338010449506386631736305374243298847002057339076121545816497195210396222784660243032428992199872711395290321625741900152450305640661308704468422065331616417269807438982875242366383967556206799579651584447108624543019108091707<277>
prime factors 素因数
69535283238833884787144304771392089490687<41>
composite cofactor 合成数の残り
27671276819049892907172440734708517877107262178593381686910158147849356121424759146138286538343513000513051973746554454579996663855648138631412806366657197431410152935581633050497452906704010265917669984239580429056277563317632557355461<236>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=642541079
Step 1 took 140894ms
Step 2 took 33561ms
********** Factor found in step 2: 69535283238833884787144304771392089490687
Found probable prime factor of 41 digits: 69535283238833884787144304771392089490687

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovNovember 20, 2015 15:54:03 UTC 2015 年 11 月 21 日 (土) 0 時 54 分 3 秒 (日本時間)
4511e6800 / 4305Dmitry DomanovJanuary 22, 2016 22:33:18 UTC 2016 年 1 月 23 日 (土) 7 時 33 分 18 秒 (日本時間)

13×10281+419

c242

composite cofactor 合成数の残り
66738922706179609035424021991709096573651794826475372705519156172455247516293189242495489252687154648767422860457108191653775451238896993088265239522104347670882825705565728669703283782984527994047575353412579026913054695168161281584011694101<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 23, 2015 19:31:54 UTC 2015 年 11 月 24 日 (火) 4 時 31 分 54 秒 (日本時間)

13×10282+419

c269

composite cofactor 合成数の残り
14582616619983298955286565892626908775744678202076741203735024530905366436125498572459949764113527317071850093603485380010182730271268514248157861805648742799482044040803001042121488427242804169906588792502040123775888744373201524130258822905374973381945832749919412163<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 23, 2015 19:32:28 UTC 2015 年 11 月 24 日 (火) 4 時 32 分 28 秒 (日本時間)

13×10283+419

c269

composite cofactor 合成数の残り
10408351448198828558429932368336873319455135712097626372047370829202466667430328160685406753203378045873557892905479735123325960676063401946161611905360462818931299639001853031875310231429064955992080982852232977866866504756752632290220837858233901950112526810266092409<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 23, 2015 19:32:41 UTC 2015 年 11 月 24 日 (火) 4 時 32 分 41 秒 (日本時間)

13×10284+419

c262

composite cofactor 合成数の残り
1529997646186338061643019843372312336405397516663904826739428416183669995777405619066405737921546816845115127230418828772644551341866107070418820627373435409254096658383587798998738170014398553697007146152878538414579177481310843152066107036963120232072564695273<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 23, 2015 19:32:54 UTC 2015 年 11 月 24 日 (火) 4 時 32 分 54 秒 (日本時間)

13×10285+419

c257

name 名前Dmitry Domanov
date 日付November 23, 2015 20:21:06 UTC 2015 年 11 月 24 日 (火) 5 時 21 分 6 秒 (日本時間)
composite number 合成数
33702661805382299476506298118088952103543927975920614079396358375054958551987755402245497814280329548385340000016507586143086093542554563070036990562495360776824038717627519633104962194689804806585623181723887275720413761299718215155080269138060689260522629<257>
prime factors 素因数
628051478779323642288172030990867<33>
composite cofactor 合成数の残り
53662260091937927878329130924777887291814062669641850473982447914589088411938880007019620650436179154421331405969194462981852656479863739472095531511874460857118189962239074126272758034080709958107355169011543208237382791687<224>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1024356193
Step 1 took 41591ms
Step 2 took 14366ms
********** Factor found in step 2: 628051478779323642288172030990867
Found probable prime factor of 33 digits: 628051478779323642288172030990867

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 23, 2015 19:33:45 UTC 2015 年 11 月 24 日 (火) 4 時 33 分 45 秒 (日本時間)

13×10287+419

c283

composite cofactor 合成数の残り
6965541999539202606184329673744728960044579468797050896679579709911966265344285308600301125738749310143436584098203425975041927204727995584917994138228501926240268334110259171743475162484662412327937717338305658699158241039901839438898801390965156215674612742655371772408952328902177<283>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovNovember 20, 2015 13:44:45 UTC 2015 年 11 月 20 日 (金) 22 時 44 分 45 秒 (日本時間)
4511e6800 / 4305Dmitry DomanovJanuary 20, 2016 17:14:12 UTC 2016 年 1 月 21 日 (木) 2 時 14 分 12 秒 (日本時間)

13×10288+419

c216

name 名前Dmitry Domanov
date 日付November 22, 2015 15:23:45 UTC 2015 年 11 月 23 日 (月) 0 時 23 分 45 秒 (日本時間)
composite number 合成数
230620297640418907086540800154270571267526494503656106310377245798721752283744595141426074129443446228038623596165860313632362136110274487529870401555527513773533223258919537599164734565680216062511441359037414575903<216>
prime factors 素因数
353208822868585515798765460699<30>
composite cofactor 合成数の残り
652929040015014687501510068813791893708188341994663998338674533694790417166787168452460494600251359457588099435351593028344236834087482014769960589381515759307058115601604135942518441997<186>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1441698090
Step 1 took 35643ms
********** Factor found in step 1: 353208822868585515798765460699
Found probable prime factor of 30 digits: 353208822868585515798765460699

c186

name 名前Serge Batalov
date 日付December 4, 2015 17:19:26 UTC 2015 年 12 月 5 日 (土) 2 時 19 分 26 秒 (日本時間)
composite number 合成数
652929040015014687501510068813791893708188341994663998338674533694790417166787168452460494600251359457588099435351593028344236834087482014769960589381515759307058115601604135942518441997<186>
prime factors 素因数
5099771173610920035390938688570250706123<40>
composite cofactor 合成数の残り
128031046450404718202616088870873435041568849891895965649458651584334601841510030484704354276741223058879288349777872375444480292518214183320898439<147>
factorization results 素因数分解の結果
Input number is 652929040015014687501510068813791893708188341994663998338674533694790417166787168452460494600251359457588099435351593028344236834087482014769960589381515759307058115601604135942518441997 (186 digits)
Using B1=11000000, B2=11000000-58553269330, polynomial Dickson(12), sigma=766141347
Step 1 took 69612ms
Step 2 took 30544ms
********** Factor found in step 2: 5099771173610920035390938688570250706123
Found probable prime factor of 40 digits: 5099771173610920035390938688570250706123
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e61000600Dmitry DomanovNovember 22, 2015 10:05:08 UTC 2015 年 11 月 22 日 (日) 19 時 5 分 8 秒 (日本時間)
400Serge BatalovDecember 4, 2015 16:01:41 UTC 2015 年 12 月 5 日 (土) 1 時 1 分 41 秒 (日本時間)
4511e64264600Serge BatalovDecember 4, 2015 16:01:41 UTC 2015 年 12 月 5 日 (土) 1 時 1 分 41 秒 (日本時間)
800Dmitry DomanovMarch 1, 2016 13:19:10 UTC 2016 年 3 月 1 日 (火) 22 時 19 分 10 秒 (日本時間)
2864Ignacio SantosMarch 13, 2016 00:52:06 UTC 2016 年 3 月 13 日 (日) 9 時 52 分 6 秒 (日本時間)

13×10289+419

c247

composite cofactor 合成数の残り
8905387040933281536281877678637032202605679580027796387078047454487091286579311970097436563213114873347604999557526878238931334929254241700287899529296837990820336488397636983761927368775656154256079424785985800574225058991471864895943697132606201<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 23, 2015 19:34:03 UTC 2015 年 11 月 24 日 (火) 4 時 34 分 3 秒 (日本時間)

13×10290+419

c259

composite cofactor 合成数の残り
9587112094779789589648758606982929854222280768709815822950293381871992017135943415921662192560719155807637512931459485923771984441290718123186560117925763082263222971062444420047951194055230974748754084870683315557290677579182511307204566785399056834996272821<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 23, 2015 19:34:17 UTC 2015 年 11 月 24 日 (火) 4 時 34 分 17 秒 (日本時間)

13×10291+419

c259

composite cofactor 合成数の残り
8659333264133294553707108844208196300843962367001957449763058793273780014290689476174425159041861565281996153529152828038846017371814772404143082564505010358410277272217247710375972546462555312015595904039582178200788434730979434346602809271544987479578382559<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 23, 2015 19:34:27 UTC 2015 年 11 月 24 日 (火) 4 時 34 分 27 秒 (日本時間)

13×10294+419

c237

composite cofactor 合成数の残り
102920825644622802956613409582187100611152669569737201724136351321303798241991327935548285287607445975004205549968921331593702278512034790570282912302835581381939946769927628884615568585049732078099588606111463419010402903849252573821467<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 24, 2015 13:30:05 UTC 2015 年 11 月 24 日 (火) 22 時 30 分 5 秒 (日本時間)

13×10295+419

c269

composite cofactor 合成数の残り
55066943045446529151197455876721421553393813143603852999940027132172272204676058539544451809467541862831913399695696607280875466806642266081977540709998987464123406041253670736295990987249869188769105183254430166545961436618412294484097687367711802816465645323172376421<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 24, 2015 13:30:36 UTC 2015 年 11 月 24 日 (火) 22 時 30 分 36 秒 (日本時間)

13×10296+419

c249

composite cofactor 合成数の残り
311914892267819381596978851876328392957326176155126283966407006816302278912251592458436009735404091521368402912776247718055798493653088858919432512169344790436545325685892211971389116857596667579862613933311091632230390643628828782290417158909385439<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 24, 2015 13:30:52 UTC 2015 年 11 月 24 日 (火) 22 時 30 分 52 秒 (日本時間)

13×10298+419

c286

composite cofactor 合成数の残り
5582532566781034394192804494067447364125817525149408129706328761411915487096603401287859880377483138502218247205163423118799236835110469027487728309158638069939387209619090184427140749395368989020677534181185436303335135962949807415081529254790961465634168684618200509965400685373164871<286>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 24, 2015 13:31:05 UTC 2015 年 11 月 24 日 (火) 22 時 31 分 5 秒 (日本時間)

13×10299+419

c286

composite cofactor 合成数の残り
7330582876296526443766134271740855220751608511390607657247171497690840619363713981241782551502256155247493711482237913357968503805870233414038743829603428561471726281428843364818220353822294070151900854387337840697092751530994636582325201923375346764995107823599605705840560886886442079<286>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 24, 2015 13:31:16 UTC 2015 年 11 月 24 日 (火) 22 時 31 分 16 秒 (日本時間)