Table of contents 目次

46×10101+539

c100

name 名前Ignacio Santos
date 日付March 8, 2009 16:09:20 UTC 2009 年 3 月 9 日 (月) 1 時 9 分 20 秒 (日本時間)
composite number 合成数
3901611535199321458863443596268023748939779474130619168787107718405428329092451229855810008481764207<100>
prime factors 素因数
1051366045249180782192749418420461357285312957<46>
3710992525229035182238005631475257690538237143563716251<55>
factorization results 素因数分解の結果
Number: 51117_101
N=3901611535199321458863443596268023748939779474130619168787107718405428329092451229855810008481764207
  ( 100 digits)
SNFS difficulty: 103 digits.
Divisors found:
 r1=1051366045249180782192749418420461357285312957 (pp46)
 r2=3710992525229035182238005631475257690538237143563716251 (pp55)
Version: Msieve-1.39
Total time: 0.31 hours.
Scaled time: 0.36 units (timescale=1.187).
Factorization parameters were as follows:
n: 3901611535199321458863443596268023748939779474130619168787107718405428329092451229855810008481764207
m: 20000000000000000000000000
deg: 4
c4: 115
c0: 212
skew: 1.17
type: snfs
lss: 1
rlim: 370000
alim: 370000
lpbr: 25
lpba: 25
mfbr: 43
mfba: 43
rlambda: 2.2
alambda: 2.2Factor base limits: 370000/370000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [185000, 245001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 39096 x 39344
Total sieving time: 0.31 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,103,4,0,0,0,0,0,0,0,0,370000,370000,25,25,43,43,2.2,2.2,10000
total time: 0.31 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 8, 2009 06:00:00 UTC 2009 年 3 月 8 日 (日) 15 時 0 分 0 秒 (日本時間)

46×10105+539

c105

name 名前Ignacio Santos
date 日付March 8, 2009 16:22:49 UTC 2009 年 3 月 9 日 (月) 1 時 22 分 49 秒 (日本時間)
composite number 合成数
730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158731<105>
prime factors 素因数
162116180279236321466962628363259874093861<42>
4503922612172772491525277627009783736239098637189147106166898671<64>
factorization results 素因数分解の結果
Number: 51117_105
N=730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158731
  ( 105 digits)
SNFS difficulty: 107 digits.
Divisors found:
 r1=162116180279236321466962628363259874093861 (pp42)
 r2=4503922612172772491525277627009783736239098637189147106166898671 (pp64)
Version: Msieve-1.39
Total time: 0.48 hours.
Scaled time: 0.57 units (timescale=1.185).
Factorization parameters were as follows:
n: 730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158731
m: 200000000000000000000000000
deg: 4
c4: 115
c0: 212
skew: 1.17
type: snfs
lss: 1
rlim: 430000
alim: 430000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 430000/430000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [215000, 315001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 42475 x 42706
Total sieving time: 0.48 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,107,4,0,0,0,0,0,0,0,0,430000,430000,25,25,44,44,2.2,2.2,20000
total time: 0.48 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 8, 2009 06:00:00 UTC 2009 年 3 月 8 日 (日) 15 時 0 分 0 秒 (日本時間)

46×10117+539

c101

name 名前Ignacio Santos
date 日付March 8, 2009 16:52:43 UTC 2009 年 3 月 9 日 (月) 1 時 52 分 43 秒 (日本時間)
composite number 合成数
39351609976324944510715763909123822322422147274612099562749814149650216428995341890016476920811566079<101>
prime factors 素因数
37154143007493125814082790629<29>
1059144601138791998487927996098498231586938131803254324761721580375436051<73>
factorization results 素因数分解の結果
Number: 51117_117
N=39351609976324944510715763909123822322422147274612099562749814149650216428995341890016476920811566079
  ( 101 digits)
SNFS difficulty: 119 digits.
Divisors found:
 r1=37154143007493125814082790629 (pp29)
 r2=1059144601138791998487927996098498231586938131803254324761721580375436051 (pp73)
Version: Msieve-1.39
Total time: 1.18 hours.
Scaled time: 1.41 units (timescale=1.194).
Factorization parameters were as follows:
n: 39351609976324944510715763909123822322422147274612099562749814149650216428995341890016476920811566079
m: 200000000000000000000000
deg: 5
c5: 575
c0: 212
skew: 0.82
type: snfs
lss: 1
rlim: 680000
alim: 680000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 680000/680000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [340000, 590001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 72296 x 72542
Total sieving time: 1.18 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,119,5,0,0,0,0,0,0,0,0,680000,680000,25,25,45,45,2.2,2.2,50000
total time: 1.18 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 8, 2009 06:00:00 UTC 2009 年 3 月 8 日 (日) 15 時 0 分 0 秒 (日本時間)

46×10119+539

c113

name 名前Ignacio Santos
date 日付March 8, 2009 17:13:03 UTC 2009 年 3 月 9 日 (月) 2 時 13 分 3 秒 (日本時間)
composite number 合成数
11614902719091903677783449132777202196223575474538023619919720771880682094050104231000760647354179068889354040493<113>
prime factors 素因数
2299987638111194800868753964704987<34>
5049984846279583185486306417912232813427855410859885830255590638230699819958039<79>
factorization results 素因数分解の結果
Number: 51117_119
N=11614902719091903677783449132777202196223575474538023619919720771880682094050104231000760647354179068889354040493
  ( 113 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=2299987638111194800868753964704987 (pp34)
 r2=5049984846279583185486306417912232813427855410859885830255590638230699819958039 (pp79)
Version: Msieve-1.39
Total time: 0.99 hours.
Scaled time: 1.18 units (timescale=1.197).
Factorization parameters were as follows:
n: 11614902719091903677783449132777202196223575474538023619919720771880682094050104231000760647354179068889354040493
m: 1000000000000000000000000
deg: 5
c5: 23
c0: 265
skew: 1.63
type: snfs
lss: 1
rlim: 740000
alim: 740000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 740000/740000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [370000, 570001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 76768 x 77005
Total sieving time: 0.99 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,121,5,0,0,0,0,0,0,0,0,740000,740000,25,25,46,46,2.2,2.2,50000
total time: 0.99 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 8, 2009 06:00:00 UTC 2009 年 3 月 8 日 (日) 15 時 0 分 0 秒 (日本時間)

46×10123+539

c119

name 名前Ignacio Santos
date 日付March 8, 2009 17:49:16 UTC 2009 年 3 月 9 日 (月) 2 時 49 分 16 秒 (日本時間)
composite number 合成数
17400060294991543948958814435543935341375943811422685669045557518736271446992796753300053826708260376015302974767264737<119>
prime factors 素因数
4381846120736352361081456772199148603930499<43>
3970942797979298014223135734108633716505660790785836094432416623786964706763<76>
factorization results 素因数分解の結果
Number: 51117_123
N=17400060294991543948958814435543935341375943811422685669045557518736271446992796753300053826708260376015302974767264737
  ( 119 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=4381846120736352361081456772199148603930499 (pp43)
 r2=3970942797979298014223135734108633716505660790785836094432416623786964706763 (pp76)
Version: Msieve-1.39
Total time: 1.61 hours.
Scaled time: 1.94 units (timescale=1.202).
Factorization parameters were as follows:
n: 17400060294991543948958814435543935341375943811422685669045557518736271446992796753300053826708260376015302974767264737
m: 5000000000000000000000000
deg: 5
c5: 368
c0: 1325
skew: 1.29
type: snfs
lss: 1
rlim: 880000
alim: 880000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 880000/880000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [440000, 740001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 111404 x 111652
Total sieving time: 1.61 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,126,5,0,0,0,0,0,0,0,0,880000,880000,26,26,46,46,2.3,2.3,50000
total time: 1.61 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 8, 2009 06:00:00 UTC 2009 年 3 月 8 日 (日) 15 時 0 分 0 秒 (日本時間)

46×10126+539

c116

name 名前Ignacio Santos
date 日付March 8, 2009 18:44:22 UTC 2009 年 3 月 9 日 (月) 3 時 44 分 22 秒 (日本時間)
composite number 合成数
14474280371439186954052991391897505152047200545966590968214180692694363767671954878797501982661887134634256255224383<116>
prime factors 素因数
22951036736328310483109547343<29>
2309389485245674100787978593428487<34>
273084775309771947450739812234858862933212157629549863<54>
factorization results 素因数分解の結果
Number: 51117_126
N=14474280371439186954052991391897505152047200545966590968214180692694363767671954878797501982661887134634256255224383
  ( 116 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=22951036736328310483109547343 (pp29)
 r2=2309389485245674100787978593428487 (pp34)
 r3=273084775309771947450739812234858862933212157629549863 (pp54)
Version: Msieve-1.39
Total time: 2.36 hours.
Scaled time: 2.82 units (timescale=1.193).
Factorization parameters were as follows:
n: 14474280371439186954052991391897505152047200545966590968214180692694363767671954878797501982661887134634256255224383
m: 20000000000000000000000000
deg: 5
c5: 115
c0: 424
skew: 1.30
type: snfs
lss: 1
rlim: 970000
alim: 970000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 970000/970000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [485000, 835001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 137624 x 137872
Total sieving time: 2.36 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,128,5,0,0,0,0,0,0,0,0,970000,970000,26,26,47,47,2.3,2.3,50000
total time: 2.36 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 8, 2009 06:00:00 UTC 2009 年 3 月 8 日 (日) 15 時 0 分 0 秒 (日本時間)

46×10127+539

c110

name 名前Ignacio Santos
date 日付March 8, 2009 19:27:08 UTC 2009 年 3 月 9 日 (月) 4 時 27 分 8 秒 (日本時間)
composite number 合成数
10081018929995717084531629906985375658680279384835188006477904963900095345058949423977762182884447646272137757<110>
prime factors 素因数
91721246203875859269650966930388504827<38>
109909310516648039879605703572736508047398488711402133692683632228955591<72>
factorization results 素因数分解の結果
Number: 51117_127
N=10081018929995717084531629906985375658680279384835188006477904963900095345058949423977762182884447646272137757
  ( 110 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=91721246203875859269650966930388504827 (pp38)
 r2=109909310516648039879605703572736508047398488711402133692683632228955591 (pp72)
Version: Msieve-1.39
Total time: 1.89 hours.
Scaled time: 2.25 units (timescale=1.192).
Factorization parameters were as follows:
n: 10081018929995717084531629906985375658680279384835188006477904963900095345058949423977762182884447646272137757
m: 20000000000000000000000000
deg: 5
c5: 575
c0: 212
skew: 0.82
type: snfs
lss: 1
rlim: 1000000
alim: 1000000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [500000, 850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 148735 x 148983
Total sieving time: 1.89 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,129,5,0,0,0,0,0,0,0,0,1000000,1000000,26,26,47,47,2.3,2.3,50000
total time: 1.89 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 8, 2009 06:00:00 UTC 2009 年 3 月 8 日 (日) 15 時 0 分 0 秒 (日本時間)

46×10132+539

c111

name 名前Ignacio Santos
date 日付March 8, 2009 20:26:15 UTC 2009 年 3 月 9 日 (月) 5 時 26 分 15 秒 (日本時間)
composite number 合成数
127023961971101962933194516572132634935878613282066905551848043549985581772021811459751701479613930969181058469<111>
prime factors 素因数
16249156839947455989159436879759<32>
7817264810862193227507798014636507921023443527299739490009654804228203145655691<79>
factorization results 素因数分解の結果
Number: 51117_132
N=127023961971101962933194516572132634935878613282066905551848043549985581772021811459751701479613930969181058469
  ( 111 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=16249156839947455989159436879759 (pp32)
 r2=7817264810862193227507798014636507921023443527299739490009654804228203145655691 (pp79)
Version: Msieve-1.39
Total time: 2.84 hours.
Scaled time: 3.40 units (timescale=1.195).
Factorization parameters were as follows:
n: 127023961971101962933194516572132634935878613282066905551848043549985581772021811459751701479613930969181058469
m: 200000000000000000000000000
deg: 5
c5: 575
c0: 212
skew: 0.82
type: snfs
lss: 1
rlim: 1210000
alim: 1210000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1210000/1210000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [605000, 1130001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 176344 x 176592
Total sieving time: 2.84 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,134,5,0,0,0,0,0,0,0,0,1210000,1210000,26,26,47,47,2.3,2.3,75000
total time: 2.84 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 8, 2009 06:00:00 UTC 2009 年 3 月 8 日 (日) 15 時 0 分 0 秒 (日本時間)

46×10133+539

c105

name 名前Ignacio Santos
date 日付March 8, 2009 21:39:30 UTC 2009 年 3 月 9 日 (月) 6 時 39 分 30 秒 (日本時間)
composite number 合成数
921109169709321114107770234761017212288149670987861927693816180198512855050548520942752864928652517047071<105>
prime factors 素因数
284006308075259780796263372870612103890893<42>
3243270108864037332056686357910502399618877853861850651186350747<64>
factorization results 素因数分解の結果
Number: 51117_133
N=921109169709321114107770234761017212288149670987861927693816180198512855050548520942752864928652517047071
  ( 105 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=284006308075259780796263372870612103890893 (pp42)
 r2=3243270108864037332056686357910502399618877853861850651186350747 (pp64)
Version: Msieve-1.39
Total time: 3.32 hours.
Scaled time: 3.97 units (timescale=1.198).
Factorization parameters were as follows:
n: 921109169709321114107770234761017212288149670987861927693816180198512855050548520942752864928652517047071
m: 500000000000000000000000000
deg: 5
c5: 368
c0: 1325
skew: 1.29
type: snfs
lss: 1
rlim: 1300000
alim: 1300000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [650000, 1250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 188774 x 189022
Total sieving time: 3.32 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,48,48,2.3,2.3,75000
total time: 3.32 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 8, 2009 06:00:00 UTC 2009 年 3 月 8 日 (日) 15 時 0 分 0 秒 (日本時間)

46×10136+539

c91

name 名前Ignacio Santos
date 日付March 9, 2009 19:23:34 UTC 2009 年 3 月 10 日 (火) 4 時 23 分 34 秒 (日本時間)
composite number 合成数
3361562545216121472298202857987577242590374665871039124930644519950592605605373751241569827<91>
prime factors 素因数
1093686932178979004947141309<28>
3073605843053092781133130455435874869768958447225792163177835103<64>
factorization results 素因数分解の結果
Mon Mar 09 19:01:21 2009  
Mon Mar 09 19:01:21 2009  
Mon Mar 09 19:01:21 2009  Msieve v. 1.40
Mon Mar 09 19:01:21 2009  random seeds: b3e6df80 516fea8b
Mon Mar 09 19:01:21 2009  factoring 3361562545216121472298202857987577242590374665871039124930644519950592605605373751241569827 (91 digits)
Mon Mar 09 19:01:22 2009  searching for 15-digit factors
Mon Mar 09 19:01:23 2009  commencing quadratic sieve (91-digit input)
Mon Mar 09 19:01:23 2009  using multiplier of 3
Mon Mar 09 19:01:23 2009  using 32kb Intel Core sieve core
Mon Mar 09 19:01:23 2009  sieve interval: 36 blocks of size 32768
Mon Mar 09 19:01:23 2009  processing polynomials in batches of 6
Mon Mar 09 19:01:23 2009  using a sieve bound of 1679009 (63529 primes)
Mon Mar 09 19:01:23 2009  using large prime bound of 154468828 (27 bits)
Mon Mar 09 19:01:23 2009  using double large prime bound of 549431410063824 (42-49 bits)
Mon Mar 09 19:01:23 2009  using trial factoring cutoff of 49 bits
Mon Mar 09 19:01:23 2009  polynomial 'A' values have 12 factors
Mon Mar 09 20:22:24 2009  64117 relations (16634 full + 47483 combined from 727403 partial), need 63625
Mon Mar 09 20:22:25 2009  begin with 744037 relations
Mon Mar 09 20:22:25 2009  reduce to 159247 relations in 10 passes
Mon Mar 09 20:22:25 2009  attempting to read 159247 relations
Mon Mar 09 20:22:27 2009  recovered 159247 relations
Mon Mar 09 20:22:27 2009  recovered 139681 polynomials
Mon Mar 09 20:22:27 2009  attempting to build 64117 cycles
Mon Mar 09 20:22:27 2009  found 64117 cycles in 5 passes
Mon Mar 09 20:22:27 2009  distribution of cycle lengths:
Mon Mar 09 20:22:27 2009     length 1 : 16634
Mon Mar 09 20:22:27 2009     length 2 : 12079
Mon Mar 09 20:22:27 2009     length 3 : 11154
Mon Mar 09 20:22:27 2009     length 4 : 8516
Mon Mar 09 20:22:27 2009     length 5 : 6276
Mon Mar 09 20:22:27 2009     length 6 : 3898
Mon Mar 09 20:22:27 2009     length 7 : 2491
Mon Mar 09 20:22:27 2009     length 9+: 3069
Mon Mar 09 20:22:27 2009  largest cycle: 17 relations
Mon Mar 09 20:22:28 2009  matrix is 63529 x 64117 (16.0 MB) with weight 3926651 (61.24/col)
Mon Mar 09 20:22:28 2009  sparse part has weight 3926651 (61.24/col)
Mon Mar 09 20:22:28 2009  filtering completed in 3 passes
Mon Mar 09 20:22:28 2009  matrix is 59791 x 59855 (14.9 MB) with weight 3663215 (61.20/col)
Mon Mar 09 20:22:28 2009  sparse part has weight 3663215 (61.20/col)
Mon Mar 09 20:22:28 2009  saving the first 48 matrix rows for later
Mon Mar 09 20:22:28 2009  matrix is 59743 x 59855 (9.6 MB) with weight 2901903 (48.48/col)
Mon Mar 09 20:22:28 2009  sparse part has weight 2165890 (36.19/col)
Mon Mar 09 20:22:28 2009  matrix includes 64 packed rows
Mon Mar 09 20:22:28 2009  using block size 23942 for processor cache size 4096 kB
Mon Mar 09 20:22:29 2009  commencing Lanczos iteration
Mon Mar 09 20:22:29 2009  memory use: 9.3 MB
Mon Mar 09 20:22:44 2009  lanczos halted after 946 iterations (dim = 59741)
Mon Mar 09 20:22:44 2009  recovered 17 nontrivial dependencies
Mon Mar 09 20:22:45 2009  prp28 factor: 1093686932178979004947141309
Mon Mar 09 20:22:45 2009  prp64 factor: 3073605843053092781133130455435874869768958447225792163177835103
Mon Mar 09 20:22:45 2009  elapsed time 01:21:24
software ソフトウェア
Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 8, 2009 06:00:00 UTC 2009 年 3 月 8 日 (日) 15 時 0 分 0 秒 (日本時間)

46×10139+539

c92

name 名前Ignacio Santos
date 日付March 9, 2009 19:57:27 UTC 2009 年 3 月 10 日 (火) 4 時 57 分 27 秒 (日本時間)
composite number 合成数
26330755484133069354472838342356404140621472902394058726689606504726770947356086733733282469<92>
prime factors 素因数
87679135327818129083845195790361427454587883<44>
300308110768732222706837801807141690286149914543<48>
factorization results 素因数分解の結果
03/09/09 19:06:23 v1.06 @ IGNACIO1, starting SIQS on c92: 26330755484133069354472838342356404140621472902394058726689606504726770947356086733733282469
03/09/09 19:06:24 v1.06 @ IGNACIO1, ==== sieve params ====
03/09/09 19:06:24 v1.06 @ IGNACIO1, n = 92 digits, 307 bits
03/09/09 19:06:24 v1.06 @ IGNACIO1, factor base: 71746 primes (max prime = 1926293)
03/09/09 19:06:24 v1.06 @ IGNACIO1, single large prime cutoff: 231155160 (120 * pmax)
03/09/09 19:06:24 v1.06 @ IGNACIO1, double large prime range from 43 to 51 bits
03/09/09 19:06:24 v1.06 @ IGNACIO1, double large prime cutoff: 1135079986864172
03/09/09 19:06:24 v1.06 @ IGNACIO1, using 10 large prime slices of factor base
03/09/09 19:06:24 v1.06 @ IGNACIO1, buckets hold 1024 elements
03/09/09 19:06:24 v1.06 @ IGNACIO1, sieve interval: 22 blocks of size 32768
03/09/09 19:06:24 v1.06 @ IGNACIO1, polynomial A has ~ 12 factors
03/09/09 19:06:24 v1.06 @ IGNACIO1, using multiplier of 5
03/09/09 19:06:24 v1.06 @ IGNACIO1, using small prime variation correction of 18 bits
03/09/09 19:06:24 v1.06 @ IGNACIO1, trial factoring cutoff at 101 bits
03/09/09 19:06:24 v1.06 @ IGNACIO1, ==== sieving started ====
03/09/09 20:55:52 v1.06 @ IGNACIO1, sieve time = 2156.7930, relation time = 1121.8380, poly_time = 3280.0710
03/09/09 20:55:52 v1.06 @ IGNACIO1, 71836 relations found: 19691 full + 52145 from 892722 partial, using 715821 polys (349 A polys)
03/09/09 20:55:52 v1.06 @ IGNACIO1, trial division touched 26420759 sieve locations out of 1032064991232
03/09/09 20:55:52 v1.06 @ IGNACIO1, ==== post processing stage (msieve-1.38) ====
03/09/09 20:55:53 v1.06 @ IGNACIO1, begin with 912413 relations
03/09/09 20:55:53 v1.06 @ IGNACIO1, reduce to 172190 relations in 11 passes
03/09/09 20:55:55 v1.06 @ IGNACIO1, failed to read relation 80418
03/09/09 20:55:56 v1.06 @ IGNACIO1, failed to read relation 129039
03/09/09 20:55:56 v1.06 @ IGNACIO1, recovered 172188 relations
03/09/09 20:55:56 v1.06 @ IGNACIO1, recovered 152900 polynomials
03/09/09 20:55:57 v1.06 @ IGNACIO1, attempting to build 71834 cycles
03/09/09 20:55:57 v1.06 @ IGNACIO1, found 71834 cycles in 5 passes
03/09/09 20:55:57 v1.06 @ IGNACIO1, distribution of cycle lengths:
03/09/09 20:55:57 v1.06 @ IGNACIO1,    length 1 : 19691
03/09/09 20:55:57 v1.06 @ IGNACIO1,    length 2 : 14772
03/09/09 20:55:57 v1.06 @ IGNACIO1,    length 3 : 13092
03/09/09 20:55:57 v1.06 @ IGNACIO1,    length 4 : 9227
03/09/09 20:55:57 v1.06 @ IGNACIO1,    length 5 : 6460
03/09/09 20:55:57 v1.06 @ IGNACIO1,    length 6 : 3873
03/09/09 20:55:57 v1.06 @ IGNACIO1,    length 7 : 2212
03/09/09 20:55:57 v1.06 @ IGNACIO1,    length 9+: 2507
03/09/09 20:55:57 v1.06 @ IGNACIO1, largest cycle: 18 relations
03/09/09 20:55:57 v1.06 @ IGNACIO1, matrix is 71746 x 71834 (17.3 MB) with weight 4246484 (59.12/col)
03/09/09 20:55:57 v1.06 @ IGNACIO1, sparse part has weight 4246484 (59.12/col)
03/09/09 20:55:57 v1.06 @ IGNACIO1, filtering completed in 3 passes
03/09/09 20:55:57 v1.06 @ IGNACIO1, matrix is 67142 x 67206 (16.3 MB) with weight 4015995 (59.76/col)
03/09/09 20:55:57 v1.06 @ IGNACIO1, sparse part has weight 4015995 (59.76/col)
03/09/09 20:55:57 v1.06 @ IGNACIO1, saving the first 48 matrix rows for later
03/09/09 20:55:57 v1.06 @ IGNACIO1, matrix is 67094 x 67206 (11.1 MB) with weight 3229491 (48.05/col)
03/09/09 20:55:57 v1.06 @ IGNACIO1, sparse part has weight 2496296 (37.14/col)
03/09/09 20:55:57 v1.06 @ IGNACIO1, matrix includes 64 packed rows
03/09/09 20:55:57 v1.06 @ IGNACIO1, using block size 26882 for processor cache size 4096 kB
03/09/09 20:55:58 v1.06 @ IGNACIO1, commencing Lanczos iteration
03/09/09 20:55:58 v1.06 @ IGNACIO1, memory use: 10.5 MB
03/09/09 20:56:21 v1.06 @ IGNACIO1, lanczos halted after 1063 iterations (dim = 67091)
03/09/09 20:56:21 v1.06 @ IGNACIO1, recovered 16 nontrivial dependencies
03/09/09 20:56:22 v1.06 @ IGNACIO1, prp48 = 300308110768732222706837801807141690286149914543
03/09/09 20:56:23 v1.06 @ IGNACIO1, prp44 = 87679135327818129083845195790361427454587883
03/09/09 20:56:23 v1.06 @ IGNACIO1, Lanczos elapsed time = 29.6310 seconds.
03/09/09 20:56:23 v1.06 @ IGNACIO1, Sqrt elapsed time = 1.9950 seconds.
03/09/09 20:56:23 v1.06 @ IGNACIO1, Total elapsed time = 6600.2490 seconds.
software ソフトウェア
Yafu 1.06

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 8, 2009 06:00:00 UTC 2009 年 3 月 8 日 (日) 15 時 0 分 0 秒 (日本時間)

46×10140+539

c111

name 名前Ignacio Santos
date 日付March 8, 2009 23:03:15 UTC 2009 年 3 月 9 日 (月) 8 時 3 分 15 秒 (日本時間)
composite number 合成数
208180642979702751743044581507404564446557630316631281934749627910209055736595897807415521997315736741889539229<111>
prime factors 素因数
5098238417384787350273120921414830381099413431566691293<55>
40833838266530485664218230832533871115304766142842709953<56>
factorization results 素因数分解の結果
Number: 51117_140
N=208180642979702751743044581507404564446557630316631281934749627910209055736595897807415521997315736741889539229
  ( 111 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=5098238417384787350273120921414830381099413431566691293 (pp55)
 r2=40833838266530485664218230832533871115304766142842709953 (pp56)
Version: Msieve-1.39
Total time: 4.18 hours.
Scaled time: 5.02 units (timescale=1.201).
Factorization parameters were as follows:
n: 208180642979702751743044581507404564446557630316631281934749627910209055736595897807415521997315736741889539229
m: 10000000000000000000000000000
deg: 5
c5: 46
c0: 53
skew: 1.03
type: snfs
lss: 1
rlim: 1610000
alim: 1610000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1610000/1610000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [805000, 1505001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 211578 x 211826
Total sieving time: 4.18 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,1610000,1610000,26,26,48,48,2.3,2.3,100000
total time: 4.18 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 8, 2009 06:00:00 UTC 2009 年 3 月 8 日 (日) 15 時 0 分 0 秒 (日本時間)

46×10143+539

c98

name 名前Max Dettweiler
date 日付March 9, 2009 21:38:52 UTC 2009 年 3 月 10 日 (火) 6 時 38 分 52 秒 (日本時間)
composite number 合成数
72979570667170880800269840951809789385404819622537142712477547587739621926706887797224141946840607<98>
prime factors 素因数
142378625024556480860219230295193029828263<42>
512573925015667689031096840646605437504778974894108140489<57>
factorization results 素因数分解の結果
Number: c98-2
N=72979570667170880800269840951809789385404819622537142712477547587739621926706887797224141946840607
  ( 98 digits)
Divisors found:
 r1=142378625024556480860219230295193029828263 (pp42)
 r2=512573925015667689031096840646605437504778974894108140489 (pp57)
Version: Msieve-1.39
Total time: 2.25 hours.
Scaled time: 3.17 units (timescale=1.404).
Factorization parameters were as follows:
n: 72979570667170880800269840951809789385404819622537142712477547587739621926706887797224141946840607
Y0: -9466360392364189172
Y1:  5116167023
c0:  53504203757430072580740345
c1: -1917373529601613998914
c2: -91409190740534357
c3:  774922611166
c4:  60938008
c5:  960
skew: 39491.60
type: gnfs
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 211356 x 211604
Total sieving time: 2.25 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,97,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 2.25 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS (sieving) + msieve 1.40beta2 (postprocessing) via factMsieve.pl
execution environment 実行環境
Core 2 Quad Q6600 (2.8Ghz), Windows Vista 32-bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 8, 2009 06:00:00 UTC 2009 年 3 月 8 日 (日) 15 時 0 分 0 秒 (日本時間)

46×10145+539

c122

name 名前Max Dettweiler
date 日付March 9, 2009 02:41:08 UTC 2009 年 3 月 9 日 (月) 11 時 41 分 8 秒 (日本時間)
composite number 合成数
32422390014251090047405979420912278617048780624947206533054875806767396646879580371495665058985390191313647208718490611757<122>
prime factors 素因数
1301015403308368069679292029098359067832886330689235907<55>
24920834858529572925651828244003251158782838939266717456699645961551<68>
factorization results 素因数分解の結果
Number: 51117_145
N=32422390014251090047405979420912278617048780624947206533054875806767396646879580371495665058985390191313647208718490611757
  ( 122 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=1301015403308368069679292029098359067832886330689235907 (pp55)
 r2=24920834858529572925651828244003251158782838939266717456699645961551 (pp68)
Version: Msieve-1.40beta2
Total time: 7.75 hours.
Scaled time: 12.73 units (timescale=1.642).
Factorization parameters were as follows:
n: 32422390014251090047405979420912278617048780624947206533054875806767396646879580371495665058985390191313647208718490611757
m: 100000000000000000000000000000
deg: 5
c5: 46
c0: 53
skew: 1.03
type: snfs
lss: 1
rlim: 1950000
alim: 1950000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1950000/1950000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [975000, 1975001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 279389 x 279637
Total sieving time: 7.75 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1950000,1950000,26,26,49,49,2.3,2.3,100000
total time: 7.75 hours.
 --------- CPU info (if available) ----------
[    0.371537] CPU0: Intel(R) Core(TM)2 Duo CPU     E4500  @ 2.20GHz stepping 0d
[    0.456480] CPU1: Intel(R) Core(TM)2 Duo CPU     E4500  @ 2.20GHz stepping 0d
[    0.004000] Memory: 2036264k/2070528k available (2576k kernel code, 32096k reserved, 1165k data, 424k init, 1152180k highmem)
[    0.004010] Calibrating delay loop (skipped), value calculated using timer frequency.. 4400.13 BogoMIPS (lpj=8800276)
[    0.004000] Calibrating delay using timer specific routine.. 4400.40 BogoMIPS (lpj=8800811)
[    0.460049] Total of 2 processors activated (8800.54 BogoMIPS).
software ソフトウェア
GGNFS (sieving), msieve-140beta2 (postprocessing)
execution environment 実行環境
Core 2 Duo E4500 (2.2Ghz), Ubuntu 8.10 32-bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 8, 2009 06:00:00 UTC 2009 年 3 月 8 日 (日) 15 時 0 分 0 秒 (日本時間)

46×10148+539

c115

name 名前Sinkiti Sibata
date 日付March 12, 2009 12:53:07 UTC 2009 年 3 月 12 日 (木) 21 時 53 分 7 秒 (日本時間)
composite number 合成数
2058716561354934581684959442841534654116623410836174062651661961139069179305115649044521621779174803752300920617547<115>
prime factors 素因数
10580955501994082609495759629247655155837933<44>
194568114473872391604919830308514587164898854724487789394376603300161559<72>
factorization results 素因数分解の結果
Number: 51117_148
N=2058716561354934581684959442841534654116623410836174062651661961139069179305115649044521621779174803752300920617547
  ( 115 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=10580955501994082609495759629247655155837933 (pp44)
 r2=194568114473872391604919830308514587164898854724487789394376603300161559 (pp72)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 33.00 hours.
Scaled time: 15.57 units (timescale=0.472).
Factorization parameters were as follows:
name: 51117_148
n: 2058716561354934581684959442841534654116623410836174062651661961139069179305115649044521621779174803752300920617547
m: 500000000000000000000000000000
deg: 5
c5: 368
c0: 1325
skew: 1.29
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1150000, 1950001)
Primes: RFBsize:169511, AFBsize:169721, largePrimes:6941653 encountered
Relations: rels:6938774, finalFF:502200
Max relations in full relation-set: 28
Initial matrix: 339299 x 502200 with sparse part having weight 52499115.
Pruned matrix : 282610 x 284370 with weight 26631670.
Total sieving time: 29.86 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 2.72 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 33.00 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 8, 2009 06:00:00 UTC 2009 年 3 月 8 日 (日) 15 時 0 分 0 秒 (日本時間)

46×10151+539

c108

name 名前Robert Backstrom
date 日付March 9, 2009 05:49:28 UTC 2009 年 3 月 9 日 (月) 14 時 49 分 28 秒 (日本時間)
composite number 合成数
110923209048541761045506758771335276930568084266286353957676501456575706096911007045699418647710773786088857<108>
prime factors 素因数
32146023557560743005476615795064849<35>
3450604360129407926878446661028474159406037561413177599498500341434877193<73>
factorization results 素因数分解の結果
GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 110923209048541761045506758771335276930568084266286353957676501456575706096911007045699418647710773786088857 (108 digits)
Using B1=3000000, B2=4016636513, polynomial Dickson(6), sigma=3172833204
Step 1 took 31683ms
Step 2 took 13907ms
********** Factor found in step 2: 32146023557560743005476615795064849
Found probable prime factor of 35 digits: 32146023557560743005476615795064849
Probable prime cofactor 3450604360129407926878446661028474159406037561413177599498500341434877193 has 73 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 8, 2009 06:00:00 UTC 2009 年 3 月 8 日 (日) 15 時 0 分 0 秒 (日本時間)

46×10154+539

c154

name 名前Serge Batalov
date 日付March 11, 2009 05:06:56 UTC 2009 年 3 月 11 日 (水) 14 時 6 分 56 秒 (日本時間)
composite number 合成数
1548821548821548821548821548821548821548821548821548821548821548821548821548821548821548821548821548821548821548821548821548821548821548821548821548821549<154>
prime factors 素因数
852516063533571245521819271819209<33>
1816765237715145703759492901073027105339922842612605998891568224247917184885659921290464520661996160310348489261441512261<121>
factorization results 素因数分解の結果
SNFS difficulty: 156 digits.
Divisors found:
 r1=852516063533571245521819271819209 (pp33)
 r2=1816765237715145703759492901073027105339922842612605998891568224247917184885659921290464520661996160310348489261441512261 (pp121)
Version: Msieve-1.40b2
Total time: 6.85 hours.
Scaled time: 19.46 units (timescale=2.840).
Factorization parameters were as follows:
n: 1548821548821548821548821548821548821548821548821548821548821548821548821548821548821548821548821548821548821548821548821548821548821548821548821548821549
m: 10000000000000000000000000000000
deg: 5
c5: 23
c0: 265
skew: 1.63
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 2200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 445234 x 445482
Total sieving time: 6.85 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 6.85 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Phenom(tm) II X4 940 Processor stepping 02
...
Calibrating delay using timer specific routine.. 6012.92 BogoMIPS (lpj=12025858)
Total of 4 processors activated (24051.44 BogoMIPS).
software ソフトウェア
Msieve-1.40b2
execution environment 実行環境
AMD Phenom(tm) II X4 940/openSUSE 11.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 8, 2009 06:00:00 UTC 2009 年 3 月 8 日 (日) 15 時 0 分 0 秒 (日本時間)

46×10155+539

c135

name 名前Robert Backstrom
date 日付March 9, 2009 12:03:00 UTC 2009 年 3 月 9 日 (月) 21 時 3 分 0 秒 (日本時間)
composite number 合成数
488816975047344480420714150543104820075654662965054212542775479303930556384979153820933164864013988575435626337025233349492623580049469<135>
prime factors 素因数
6101604350504945071703086087387533827909<40>
80112859990158471449995653126153528876347931825122100676739917892233937272907061694672355442841<95>
factorization results 素因数分解の結果
GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 488816975047344480420714150543104820075654662965054212542775479303930556384979153820933164864013988575435626337025233349492623580049469 (135 digits)
Using B1=3000000, B2=4016636513, polynomial Dickson(6), sigma=2831832470
Step 1 took 39028ms
Step 2 took 16267ms
********** Factor found in step 2: 6101604350504945071703086087387533827909
Found probable prime factor of 40 digits: 6101604350504945071703086087387533827909
Probable prime cofactor 80112859990158471449995653126153528876347931825122100676739917892233937272907061694672355442841 has 95 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 8, 2009 06:00:00 UTC 2009 年 3 月 8 日 (日) 15 時 0 分 0 秒 (日本時間)

46×10159+539

c154

name 名前Ignacio Santos
date 日付March 9, 2009 06:48:13 UTC 2009 年 3 月 9 日 (月) 15 時 48 分 13 秒 (日本時間)
composite number 合成数
9072661565858548922453792047102103141566852597059234815668170953400640648245613516056737269724508631552705161969690604489744638106322520890296334822235989<154>
prime factors 素因数
146206979062345930258847590663260807771848228702899166301406463<63>
62053546445206031125688035764078006914277054585201952605461595095457720445664741389665548203<92>
factorization results 素因数分解の結果
Number: 51117_159
N=9072661565858548922453792047102103141566852597059234815668170953400640648245613516056737269724508631552705161969690604489744638106322520890296334822235989
  ( 154 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=146206979062345930258847590663260807771848228702899166301406463 (pp63)
 r2=62053546445206031125688035764078006914277054585201952605461595095457720445664741389665548203 (pp92)
Version: Msieve-1.39
Total time: 22.23 hours.
Scaled time: 57.14 units (timescale=2.571).
Factorization parameters were as follows:
n: 9072661565858548922453792047102103141566852597059234815668170953400640648245613516056737269724508631552705161969690604489744638106322520890296334822235989
m: 100000000000000000000000000000000
deg: 5
c5: 23
c0: 265
skew: 1.63
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 2800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 585594 x 585842
Total sieving time: 22.23 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 22.23 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 8, 2009 06:00:00 UTC 2009 年 3 月 8 日 (日) 15 時 0 分 0 秒 (日本時間)

46×10160+539

c156

name 名前Ignacio Santos
date 日付March 9, 2009 13:53:14 UTC 2009 年 3 月 9 日 (月) 22 時 53 分 14 秒 (日本時間)
composite number 合成数
751490319661110539324998325483526842090646069297209520402145341495171674696177364784836885758768340039567599004765428831416216180893521990077060431257423009<156>
prime factors 素因数
3497829786460425219596265083453<31>
3711630603234302531527368993031032123750398751737<49>
57884191535844480051940302137313331900332209124470821556366740038336486224669<77>
factorization results 素因数分解の結果
Number: 51117_160
N=751490319661110539324998325483526842090646069297209520402145341495171674696177364784836885758768340039567599004765428831416216180893521990077060431257423009
  ( 156 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=3497829786460425219596265083453 (pp31)
 r2=3711630603234302531527368993031032123750398751737 (pp49)
 r3=57884191535844480051940302137313331900332209124470821556366740038336486224669 (pp77)
Version: Msieve-1.39
Total time: 22.23 hours.
Scaled time: 57.16 units (timescale=2.571).
Factorization parameters were as follows:
n: 751490319661110539324998325483526842090646069297209520402145341495171674696177364784836885758768340039567599004765428831416216180893521990077060431257423009
m: 100000000000000000000000000000000
deg: 5
c5: 46
c0: 53
skew: 1.03
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1750000, 2850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 637029 x 637277
Total sieving time: 22.23 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 22.23 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 8, 2009 06:00:00 UTC 2009 年 3 月 8 日 (日) 15 時 0 分 0 秒 (日本時間)

46×10161+539

c154

name 名前Ignacio Santos
date 日付March 10, 2009 01:09:04 UTC 2009 年 3 月 10 日 (火) 10 時 9 分 4 秒 (日本時間)
composite number 合成数
3055395295090705284328546950993171152326706532308740529002732412779528509318619224436006890631087242044242005642399819876742444528346927680372207510925617<154>
prime factors 素因数
29304073293056004611600603550341<32>
104265207929804161640682601999886440675679347982672371444289866714737148563122388946690763349474640988083937818479288943037<123>
factorization results 素因数分解の結果
Number: 51117_161
N=3055395295090705284328546950993171152326706532308740529002732412779528509318619224436006890631087242044242005642399819876742444528346927680372207510925617
  ( 154 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=29304073293056004611600603550341 (pp32)
 r2=104265207929804161640682601999886440675679347982672371444289866714737148563122388946690763349474640988083937818479288943037 (pp123)
Version: Msieve-1.39
Total time: 35.10 hours.
Scaled time: 90.25 units (timescale=2.571).
Factorization parameters were as follows:
n: 3055395295090705284328546950993171152326706532308740529002732412779528509318619224436006890631087242044242005642399819876742444528346927680372207510925617
m: 200000000000000000000000000000000
deg: 5
c5: 115
c0: 424
skew: 1.30
type: snfs
lss: 1
rlim: 3700000
alim: 3700000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3700000/3700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1850000, 3650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 666390 x 666638
Total sieving time: 35.10 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3700000,3700000,27,27,51,51,2.4,2.4,100000
total time: 35.10 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 8, 2009 06:00:00 UTC 2009 年 3 月 8 日 (日) 15 時 0 分 0 秒 (日本時間)

46×10162+539

c105

name 名前Sinkiti Sibata
date 日付March 10, 2009 13:42:57 UTC 2009 年 3 月 10 日 (火) 22 時 42 分 57 秒 (日本時間)
composite number 合成数
166211931054657464690785485770816308830203049067739149906327056881572343337683955416814248719378935656399<105>
prime factors 素因数
644922593370834891407360750242576241<36>
257723845874142713268164872256040302227306103279377599115103092063039<69>
factorization results 素因数分解の結果
Mon Mar 09 07:58:40 2009  Msieve v. 1.39
Mon Mar 09 07:58:40 2009  random seeds: 1d3debe0 a1696c50
Mon Mar 09 07:58:40 2009  factoring 166211931054657464690785485770816308830203049067739149906327056881572343337683955416814248719378935656399 (105 digits)
Mon Mar 09 07:58:41 2009  searching for 15-digit factors
Mon Mar 09 07:58:43 2009  commencing quadratic sieve (105-digit input)
Mon Mar 09 07:58:43 2009  using multiplier of 2
Mon Mar 09 07:58:43 2009  using 32kb Intel Core sieve core
Mon Mar 09 07:58:43 2009  sieve interval: 36 blocks of size 32768
Mon Mar 09 07:58:43 2009  processing polynomials in batches of 6
Mon Mar 09 07:58:43 2009  using a sieve bound of 3877483 (137428 primes)
Mon Mar 09 07:58:43 2009  using large prime bound of 581622450 (29 bits)
Mon Mar 09 07:58:43 2009  using double large prime bound of 5975222047534050 (44-53 bits)
Mon Mar 09 07:58:43 2009  using trial factoring cutoff of 53 bits
Mon Mar 09 07:58:43 2009  polynomial 'A' values have 14 factors
Tue Mar 10 22:29:55 2009  137524 relations (31697 full + 105827 combined from 2070007 partial), need 137524
Tue Mar 10 22:29:58 2009  begin with 2101704 relations
Tue Mar 10 22:30:00 2009  reduce to 366393 relations in 11 passes
Tue Mar 10 22:30:00 2009  attempting to read 366393 relations
Tue Mar 10 22:30:09 2009  recovered 366393 relations
Tue Mar 10 22:30:09 2009  recovered 360266 polynomials
Tue Mar 10 22:30:10 2009  attempting to build 137524 cycles
Tue Mar 10 22:30:10 2009  found 137524 cycles in 7 passes
Tue Mar 10 22:30:10 2009  distribution of cycle lengths:
Tue Mar 10 22:30:10 2009     length 1 : 31697
Tue Mar 10 22:30:10 2009     length 2 : 23149
Tue Mar 10 22:30:10 2009     length 3 : 23173
Tue Mar 10 22:30:10 2009     length 4 : 18839
Tue Mar 10 22:30:10 2009     length 5 : 14434
Tue Mar 10 22:30:10 2009     length 6 : 10125
Tue Mar 10 22:30:10 2009     length 7 : 6672
Tue Mar 10 22:30:10 2009     length 9+: 9435
Tue Mar 10 22:30:10 2009  largest cycle: 24 relations
Tue Mar 10 22:30:11 2009  matrix is 137428 x 137524 (39.8 MB) with weight 9887948 (71.90/col)
Tue Mar 10 22:30:11 2009  sparse part has weight 9887948 (71.90/col)
Tue Mar 10 22:30:13 2009  filtering completed in 3 passes
Tue Mar 10 22:30:13 2009  matrix is 132629 x 132693 (38.7 MB) with weight 9601925 (72.36/col)
Tue Mar 10 22:30:13 2009  sparse part has weight 9601925 (72.36/col)
Tue Mar 10 22:30:13 2009  saving the first 48 matrix rows for later
Tue Mar 10 22:30:14 2009  matrix is 132581 x 132693 (24.2 MB) with weight 7667651 (57.78/col)
Tue Mar 10 22:30:14 2009  sparse part has weight 5548870 (41.82/col)
Tue Mar 10 22:30:14 2009  matrix includes 64 packed rows
Tue Mar 10 22:30:14 2009  using block size 43690 for processor cache size 1024 kB
Tue Mar 10 22:30:15 2009  commencing Lanczos iteration
Tue Mar 10 22:30:15 2009  memory use: 23.3 MB
Tue Mar 10 22:32:26 2009  lanczos halted after 2098 iterations (dim = 132578)
Tue Mar 10 22:32:27 2009  recovered 16 nontrivial dependencies
Tue Mar 10 22:32:30 2009  prp36 factor: 644922593370834891407360750242576241
Tue Mar 10 22:32:30 2009  prp69 factor: 257723845874142713268164872256040302227306103279377599115103092063039
Tue Mar 10 22:32:30 2009  elapsed time 38:33:50

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 8, 2009 06:00:00 UTC 2009 年 3 月 8 日 (日) 15 時 0 分 0 秒 (日本時間)

46×10163+539

c161

name 名前Ignacio Santos
date 日付March 9, 2009 22:44:32 UTC 2009 年 3 月 10 日 (火) 7 時 44 分 32 秒 (日本時間)
composite number 合成数
52746244696709092993922715284944387111569774108473798876275656461414975346863891755532622405687421167297328288040362343767916523334479990826740052746244696709093<161>
prime factors 素因数
19681554786229512498521615841720531903117438305569<50>
2679983632879134839217655504863995441112610536764554382163896252409598726595514228780873486445695938122612848197<112>
factorization results 素因数分解の結果
Number: 51117_163
N=52746244696709092993922715284944387111569774108473798876275656461414975346863891755532622405687421167297328288040362343767916523334479990826740052746244696709093
  ( 161 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=19681554786229512498521615841720531903117438305569 (pp50)
 r2=2679983632879134839217655504863995441112610536764554382163896252409598726595514228780873486445695938122612848197 (pp112)
Version: Msieve-1.39
Total time: 35.35 hours.
Scaled time: 61.47 units (timescale=1.739).
Factorization parameters were as follows:
n: 52746244696709092993922715284944387111569774108473798876275656461414975346863891755532622405687421167297328288040362343767916523334479990826740052746244696709093
m: 500000000000000000000000000000000
deg: 5
c5: 368
c0: 1325
skew: 1.29
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2050000, 4050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 757733 x 757981
Total sieving time: 35.35 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 35.35 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 8, 2009 06:00:00 UTC 2009 年 3 月 8 日 (日) 15 時 0 分 0 秒 (日本時間)

46×10164+539

c132

name 名前Robert Backstrom
date 日付April 15, 2009 06:35:07 UTC 2009 年 4 月 15 日 (水) 15 時 35 分 7 秒 (日本時間)
composite number 合成数
252359189752747203387481007806132642014097328260445368426717671665279502548365537787656106881257387644151261259364816582589241307783<132>
prime factors 素因数
11285753184776442856762752555140164277069129<44>
22360863791807806952061637322870117280197298346250658978177527581370911848085145743419727<89>
factorization results 素因数分解の結果
Number: n
N=252359189752747203387481007806132642014097328260445368426717671665279502548365537787656106881257387644151261259364816582589241307783
  ( 132 digits)
SNFS difficulty: 166 digits.
Divisors found:

Wed Apr 15 16:30:13 2009  prp44 factor: 11285753184776442856762752555140164277069129
Wed Apr 15 16:30:13 2009  prp89 factor: 22360863791807806952061637322870117280197298346250658978177527581370911848085145743419727
Wed Apr 15 16:30:13 2009  elapsed time 00:57:06 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 28.65 hours.
Scaled time: 74.34 units (timescale=2.595).
Factorization parameters were as follows:
name: KA_5_1_163_7
n: 252359189752747203387481007806132642014097328260445368426717671665279502548365537787656106881257387644151261259364816582589241307783
m: 1000000000000000000000000000000000
deg: 5
c5: 23
c0: 265
skew: 1.63
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2050000, 3645899)
Primes: RFBsize:289774, AFBsize:289682, largePrimes:14524305 encountered
Relations: rels:13480818, finalFF:556526
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1314584 hash collisions in 15355401 relations
Msieve: matrix is 675331 x 675579 (181.4 MB)

Total sieving time: 28.29 hours.
Total relation processing time: 0.36 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4100000,4100000,28,28,56,56,2.4,2.4,100000
total time: 28.65 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 8, 2009 06:00:00 UTC 2009 年 3 月 8 日 (日) 15 時 0 分 0 秒 (日本時間)

46×10165+539

c136

name 名前Serge Batalov
date 日付March 9, 2009 06:17:07 UTC 2009 年 3 月 9 日 (月) 15 時 17 分 7 秒 (日本時間)
composite number 合成数
7835009525701043711232113835330818417582577713123302382192656971255694298479786717572170571121989092590415409613746738665684193833470241<136>
prime factors 素因数
10446812610506949093142876229<29>
composite cofactor 合成数の残り
749990434194342913627839994778316141735461561144432665049318858824500331417760967267346175218968089628592429<108>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=143967436
Step 1 took 11117ms
********** Factor found in step 1: 10446812610506949093142876229
Found probable prime factor of 29 digits: 10446812610506949093142876229
Composite cofactor 749990434194342913627839994778316141735461561144432665049318858824500331417760967267346175218968089628592
429 has 108 digits
software ソフトウェア
GMP-ECM 6.2.2

c108

name 名前Robert Backstrom
date 日付March 16, 2009 05:11:26 UTC 2009 年 3 月 16 日 (月) 14 時 11 分 26 秒 (日本時間)
composite number 合成数
749990434194342913627839994778316141735461561144432665049318858824500331417760967267346175218968089628592429<108>
prime factors 素因数
9805395862581591558891811743241601906381832514763117<52>
76487522248477928542358689183140209557258551332628166337<56>
factorization results 素因数分解の結果
Number: n
N=749990434194342913627839994778316141735461561144432665049318858824500331417760967267346175218968089628592429
  ( 108 digits)
Divisors found:
 r1=9805395862581591558891811743241601906381832514763117 (pp52)
 r2=76487522248477928542358689183140209557258551332628166337 (pp56)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 13.07 hours.
Scaled time: 23.90 units (timescale=1.829).
Factorization parameters were as follows:
n: 749990434194342913627839994778316141735461561144432665049318858824500331417760967267346175218968089628592429
skew: 60805.78
Y0: -788541049841131603807
Y1:  173557720067
c0: -882568465664650229685322800
c1:  66651423558043426366728
c2:  163379316995626583
c3: -27437337795142
c4: -23583382
c5:  2460
type: gnfs
name: KA_5_1_164_7
rlim: 2500000
alim: 2500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [1250000, 2450001)
Primes: RFBsize:183072, AFBsize:183340, largePrimes:15881747 encountered
Relations: rels:14006430, finalFF:471490
Max relations in full relation-set: 48
Initial matrix: 366494 x 471490 with sparse part having weight 64122111.
Pruned matrix : 317653 x 319549 with weight 36740128.
Total sieving time: 10.80 hours.
Total relation processing time: 0.47 hours.
Matrix solve time: 1.22 hours.
Total square root time: 0.58 hours, sqrts: 3.
Prototype def-par.txt line would be:
gnfs,107,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,28,28,56,56,2.6,2.6,150000
total time: 13.07 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 8, 2009 06:00:00 UTC 2009 年 3 月 8 日 (日) 15 時 0 分 0 秒 (日本時間)

46×10166+539

c159

name 名前Serge Batalov
date 日付March 9, 2009 06:38:57 UTC 2009 年 3 月 9 日 (月) 15 時 38 分 57 秒 (日本時間)
composite number 合成数
528727677567158992478100522002606330903143458339395167421440943401714729834369193036359019651484806569387141714600112182909928611430350561082190799085782489877<159>
prime factors 素因数
16036699817919812260473949319<29>
composite cofactor 合成数の残り
32969855616823691466101238160783310004651583931458204036145062340110338667916054195949780242413798330360782553087497224960254295683<131>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3914349354
Step 1 took 12984ms
Step 2 took 11077ms
********** Factor found in step 2: 16036699817919812260473949319
Found probable prime factor of 29 digits: 16036699817919812260473949319
Composite cofactor has 131 digits 
software ソフトウェア
GMP-ECM 6.2.2

c131

name 名前Robert Backstrom
date 日付May 3, 2009 17:05:00 UTC 2009 年 5 月 4 日 (月) 2 時 5 分 0 秒 (日本時間)
composite number 合成数
32969855616823691466101238160783310004651583931458204036145062340110338667916054195949780242413798330360782553087497224960254295683<131>
prime factors 素因数
1630468449953094566378736443083<31>
20221093893458760666893128729053370437177862662501618757770239518723565275843344695057556709203292201<101>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Input number is 32969855616823691466101238160783310004651583931458204036145062340110338667916054195949780242413798330360782553087497224960254295683 (131 digits)
Using B1=460000, B2=347971482, polynomial Dickson(3), sigma=2688550002
Step 1 took 5725ms
Step 2 took 2293ms
********** Factor found in step 2: 1630468449953094566378736443083
Found probable prime factor of 31 digits: 1630468449953094566378736443083
Probable prime cofactor 20221093893458760666893128729053370437177862662501618757770239518723565275843344695057556709203292201 has 101 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 8, 2009 06:00:00 UTC 2009 年 3 月 8 日 (日) 15 時 0 分 0 秒 (日本時間)

46×10168+539

c141

name 名前Robert Backstrom
date 日付June 10, 2009 13:36:50 UTC 2009 年 6 月 10 日 (水) 22 時 36 分 50 秒 (日本時間)
composite number 合成数
481383823060103954194458622525066612872526569817422802914373422723167098834287235699476136882982546717677639945688012941180066526049097884701<141>
prime factors 素因数
130013906438737421609827744440291958180593859853561963893<57>
3702556412970577933431326070205991960265739985195153009374566172308595834356085499657<85>
factorization results 素因数分解の結果
Number: n
N=481383823060103954194458622525066612872526569817422802914373422723167098834287235699476136882982546717677639945688012941180066526049097884701
  ( 141 digits)
SNFS difficulty: 171 digits.
Divisors found:

Wed Jun 10 23:32:14 2009  prp57 factor: 130013906438737421609827744440291958180593859853561963893
Wed Jun 10 23:32:14 2009  prp85 factor: 3702556412970577933431326070205991960265739985195153009374566172308595834356085499657
Wed Jun 10 23:32:14 2009  elapsed time 02:34:18 (Msieve 1.39 - dependency 2)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 52.58 hours.
Scaled time: 139.85 units (timescale=2.660).
Factorization parameters were as follows:
name: KA_5_1_167_7
n: 481383823060103954194458622525066612872526569817422802914373422723167098834287235699476136882982546717677639945688012941180066526049097884701
m: 5000000000000000000000000000000000
deg: 5
c5: 368
c0: 1325
skew: 1.29
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, 5496571)
Primes: RFBsize:348513, AFBsize:348491, largePrimes:16732815 encountered
Relations: rels:16217712, finalFF:697188
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1947970 hash collisions in 18297886 relations
Msieve: matrix is 856679 x 856927 (229.3 MB)

Total sieving time: 51.90 hours.
Total relation processing time: 0.67 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: 52.58 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 8, 2009 06:00:00 UTC 2009 年 3 月 8 日 (日) 15 時 0 分 0 秒 (日本時間)

46×10170+539

c141

name 名前Serge Batalov
date 日付March 9, 2009 06:17:58 UTC 2009 年 3 月 9 日 (月) 15 時 17 分 58 秒 (日本時間)
composite number 合成数
802029329259668841314021814064271057350594448709728831150785645318679085575903917396825538604486575701156581205513356381643564620366763904567<141>
prime factors 素因数
5408617979271676407647398602101<31>
composite cofactor 合成数の残り
148287294893707759450826773884287490623864556110591552787817847024979548974477424569602377450628469980051583867<111>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=79750547
Step 1 took 10712ms
Step 2 took 9745ms
********** Factor found in step 2: 5408617979271676407647398602101
Found probable prime factor of 31 digits: 5408617979271676407647398602101
Composite cofactor 148287294893707759450826773884287490623864556110591552787817847024979548974477424569602377450628469980051
583867 has 111 digits
software ソフトウェア
GMP-ECM 6.2.2

c111

name 名前Robert Backstrom
date 日付March 16, 2009 10:04:40 UTC 2009 年 3 月 16 日 (月) 19 時 4 分 40 秒 (日本時間)
composite number 合成数
148287294893707759450826773884287490623864556110591552787817847024979548974477424569602377450628469980051583867<111>
prime factors 素因数
9374595531922456602937532247107542324675101892801624967<55>
15817993895177507742759884041742063160131832583292046701<56>
factorization results 素因数分解の結果
Number: n
N=148287294893707759450826773884287490623864556110591552787817847024979548974477424569602377450628469980051583867
  ( 111 digits)
Divisors found:

Mon Mar 16 20:53:16 2009  prp55 factor: 9374595531922456602937532247107542324675101892801624967
Mon Mar 16 20:53:16 2009  prp56 factor: 15817993895177507742759884041742063160131832583292046701
Mon Mar 16 20:53:16 2009  elapsed time 01:30:27 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 20.68 hours.
Scaled time: 27.03 units (timescale=1.307).
Factorization parameters were as follows:
n: 148287294893707759450826773884287490623864556110591552787817847024979548974477424569602377450628469980051583867
skew: 63714.37
Y0: -2083158238752119845248
Y1:  469520352907
c0: -2678946942485839684630308575
c1:  101572738408480540974053
c2:  414611238680719735
c3: -50779098672521
c4:  32437288
c5:  3780
type: gnfs
name: KA_5_1_169_7
rlim: 3200000
alim: 3200000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [1600000, 10000000
)
Primes: RFBsize:230209, AFBsize:230792, largePrimes:16366686 encountered
Relations: rels:14572121, finalFF:522575
Max relations in full relation-set: 28
Initial matrix: 461084 x 522575 with sparse part having weight 45745102.
Pruned matrix : 412416 x 414785 with weight 31728828.

Msieve: found 814083 hash collisions in 15032833 relations
Msieve: matrix is 427960 x 428207 (118.9 MB)

Total sieving time: 20.02 hours.
Total relation processing time: 0.62 hours.
Matrix solve time: 0.05 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,110,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,28,28,56,56,2.6,2.6,100000
total time: 20.68 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 8, 2009 06:00:00 UTC 2009 年 3 月 8 日 (日) 15 時 0 分 0 秒 (日本時間)

46×10171+539

c149

name 名前Wataru Sakai
date 日付August 21, 2009 12:20:49 UTC 2009 年 8 月 21 日 (金) 21 時 20 分 49 秒 (日本時間)
composite number 合成数
72277440981865854857380608562617476999432445657646928202937642702331334521267716393684885743419409667407714355800164588849104522197439502301907237301<149>
prime factors 素因数
605173586951071077503844970287679<33>
119432576933846853692398300562496450873677590281019524438614039543969108708295893722582025789172845080826012999716619<117>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=43475544
Step 1 took 47342ms
Step 2 took 16749ms
********** Factor found in step 2: 605173586951071077503844970287679
Found probable prime factor of 33 digits: 605173586951071077503844970287679
Probable prime cofactor 119432576933846853692398300562496450873677590281019524438614039543969108708295893722582025789172845080826012999716619 has 117 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 8, 2009 06:00:00 UTC 2009 年 3 月 8 日 (日) 15 時 0 分 0 秒 (日本時間)

46×10172+539

c166

name 名前Ignacio Santos
date 日付September 25, 2009 11:50:11 UTC 2009 年 9 月 25 日 (金) 20 時 50 分 11 秒 (日本時間)
composite number 合成数
9678138564055843616934142013344427846436807088672641402390891558750687805320287370864439344065421187014858320151603411930969372247108713962425384444592982831971040653<166>
prime factors 素因数
36033128261972737854237389767175430050431103081339670286348057189471141<71>
268590017877231787185313607856659818367106537343327607800131824893760946397809960086471717273033<96>
factorization results 素因数分解の結果
Number: 51117_172
N=9678138564055843616934142013344427846436807088672641402390891558750687805320287370864439344065421187014858320151603411930969372247108713962425384444592982831971040653
  ( 166 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=36033128261972737854237389767175430050431103081339670286348057189471141 (pp71)
 r2=268590017877231787185313607856659818367106537343327607800131824893760946397809960086471717273033 (pp96)
Version: Msieve-1.40
Total time: 73.83 hours.
Scaled time: 128.39 units (timescale=1.739).
Factorization parameters were as follows:
n: 9678138564055843616934142013344427846436807088672641402390891558750687805320287370864439344065421187014858320151603411930969372247108713962425384444592982831971040653
m: 20000000000000000000000000000000000
deg: 5
c5: 575
c0: 212
skew: 0.82
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2800000, 6600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1123174 x 1123407
Total sieving time: 71.46 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.66 hours.
Time per square root: 0.61 hours.
Prototype def-par.txt line would be:
snfs,174.000,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 73.83 hours.
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 8, 2009 06:00:00 UTC 2009 年 3 月 8 日 (日) 15 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiSeptember 15, 2009 10:26:47 UTC 2009 年 9 月 15 日 (火) 19 時 26 分 47 秒 (日本時間)

46×10173+539

c126

name 名前Wataru Sakai
date 日付February 24, 2010 12:39:53 UTC 2010 年 2 月 24 日 (水) 21 時 39 分 53 秒 (日本時間)
composite number 合成数
311564052846514833018020012302129009306916121534799067876302576787132845172547841381811196471445104461374059982014251298535417<126>
prime factors 素因数
14663216849118573835664035577808165213821<41>
21248001448279978034586759198644854476232742755266610738908513072304778400212022367277<86>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2680226076
Step 1 took 38596ms
********** Factor found in step 1: 14663216849118573835664035577808165213821
Found probable prime factor of 41 digits: 14663216849118573835664035577808165213821
Probable prime cofactor 21248001448279978034586759198644854476232742755266610738908513072304778400212022367277 has 86 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 8, 2009 06:00:00 UTC 2009 年 3 月 8 日 (日) 15 時 0 分 0 秒 (日本時間)

46×10174+539

c117

name 名前Robert Backstrom
date 日付March 23, 2009 09:52:02 UTC 2009 年 3 月 23 日 (月) 18 時 52 分 2 秒 (日本時間)
composite number 合成数
166401900285459186183164258465440493370443079394472429719834326550583531484317913711130389138522747212789132994125749<117>
prime factors 素因数
536853205010070477751570463792644371118157<42>
309957915371554430586833991064591498214078894243423889658794630549706504457<75>
factorization results 素因数分解の結果
Number: n
N=166401900285459186183164258465440493370443079394472429719834326550583531484317913711130389138522747212789132994125749
  ( 117 digits)
Divisors found:

Mon Mar 23 20:10:51 2009  prp42 factor: 536853205010070477751570463792644371118157
Mon Mar 23 20:10:51 2009  prp75 factor: 309957915371554430586833991064591498214078894243423889658794630549706504457
Mon Mar 23 20:10:51 2009  elapsed time 00:34:07 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 22.73 hours.
Scaled time: 60.50 units (timescale=2.662).
Factorization parameters were as follows:
name: KA_5_1_173_7
n: 166401900285459186183164258465440493370443079394472429719834326550583531484317913711130389138522747212789132994125749
skew: 40828.59
# norm 4.82e+15
c5: 68640
c4: 381354376
c3: -346318543916472
c2: -1356621578298215941
c1: 235682672015256546584246
c0: 1514919480965173090953299231
# alpha -5.53
Y1: 1090532184019
Y0: -18919783983081763516780
# Murphy_E 4.53e-10
# M 111681274936674277178175601615880864336178708841231058862797851527797567703832190659576344088915678181723073994938108
type: gnfs
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 60000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 3630281)
Primes: RFBsize:315948, AFBsize:316486, largePrimes:7414964 encountered
Relations: rels:7356594, finalFF:692768
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 607005 hash collisions in 7889899 relations
Msieve: matrix is 528742 x 528990 (145.4 MB)

Total sieving time: 22.42 hours.
Total relation processing time: 0.31 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,116,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.4,2.4,60000
total time: 22.73 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 8, 2009 06:00:00 UTC 2009 年 3 月 8 日 (日) 15 時 0 分 0 秒 (日本時間)

46×10176+539

c98

name 名前Max Dettweiler
date 日付March 10, 2009 01:15:24 UTC 2009 年 3 月 10 日 (火) 10 時 15 分 24 秒 (日本時間)
composite number 合成数
22626097475079112950538412361578435764788431930006107071944439400234866205055016590621131653140687<98>
prime factors 素因数
17207130506967340177607673105985067756831<41>
1314925662121152539307720963217751339151597375268076893777<58>
factorization results 素因数分解の結果
Number: c98-1
N=22626097475079112950538412361578435764788431930006107071944439400234866205055016590621131653140687
  ( 98 digits)
Divisors found:
 r1=17207130506967340177607673105985067756831 (pp41)
 r2=1314925662121152539307720963217751339151597375268076893777 (pp58)
Version: Msieve-1.40beta2
Total time: 3.93 hours.
Scaled time: 6.39 units (timescale=1.625).
Factorization parameters were as follows:
n: 22626097475079112950538412361578435764788431930006107071944439400234866205055016590621131653140687

Y0: -6604835464427066740

Y1:  9414325037

c0: -20535393666216700134369

c1:  23023711095567736083

c2: -8222964854909011

c3:  405478485133

c4:  78897468

c5:  1800

skew: 10007.05

type: gnfs
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 159895 x 160143
Total sieving time: 3.93 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,97,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 3.93 hours.
 --------- CPU info (if available) ----------
[    0.367147] CPU0: Intel(R) Core(TM)2 Duo CPU     E4500  @ 2.20GHz stepping 0d
[    0.452481] CPU1: Intel(R) Core(TM)2 Duo CPU     E4500  @ 2.20GHz stepping 0d
[    0.004000] Memory: 2036264k/2070528k available (2576k kernel code, 32096k reserved, 1165k data, 424k init, 1152180k highmem)
[    0.004010] Calibrating delay loop (skipped), value calculated using timer frequency.. 4400.13 BogoMIPS (lpj=8800276)
[    0.004000] Calibrating delay using timer specific routine.. 4400.40 BogoMIPS (lpj=8800811)
[    0.456049] Total of 2 processors activated (8800.54 BogoMIPS).
software ソフトウェア
GGNFS (sieving) + msieve v1.40beta2 (postprocessing) via factMsieve.pl
execution environment 実行環境
Core 2 Duo E4500 (2.2Ghz), Ubuntu 8.10 32-bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 8, 2009 06:00:00 UTC 2009 年 3 月 8 日 (日) 15 時 0 分 0 秒 (日本時間)

46×10178+539

c160

name 名前Ben Meekins
date 日付October 18, 2013 18:53:08 UTC 2013 年 10 月 19 日 (土) 3 時 53 分 8 秒 (日本時間)
composite number 合成数
1300535233646130401512948390918496031157632030822807146191838159399109419083932147573591499551030029701271279181688294899709659891628068684908444947555921436471<160>
prime factors 素因数
8573728473012466591485699903821632765924265929707914092589563302160900769537<76>
151688409277227103070327609757230265072269186232587708224838778773571882962207497783<84>
factorization results 素因数分解の結果
Number: 51117_178
N = 1300535233646130401512948390918496031157632030822807146191838159399109419083932147573591499551030029701271279181688294899709659891628068684908444947555921436471 (160 digits)
SNFS difficulty: 180 digits.
Divisors found:
r1=8573728473012466591485699903821632765924265929707914092589563302160900769537 (pp76)
r2=151688409277227103070327609757230265072269186232587708224838778773571882962207497783 (pp84)
Version: Msieve v. 1.52 (SVN 945M)
Total time: 23.94 hours.
Factorization parameters were as follows:
n: 1300535233646130401512948390918496031157632030822807146191838159399109419083932147573591499551030029701271279181688294899709659891628068684908444947555921436471
m: 100000000000000000000000000000000000
deg: 5
c5: 46000
c0: 53
skew: 0.26
# Murphy_E = 8.937e-11
type: snfs
lss: 1
rlim: 6900000
alim: 6900000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 200000
Factor base limits: 6900000/6900000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 18651243
Relations: 2644964 relations
Pruned matrix : 1533300 x 1533526
Polynomial selection time: 0.00 hours.
Total sieving time: 22.21 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.30 hours.
time per square root: 0.27 hours.
Prototype def-par.txt line would be: snfs,180,5,0,0,0,0,0,0,0,0,6900000,6900000,28,28,53,53,2.5,2.5,200000
total time: 23.94 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.00GHz
software ソフトウェア
MSieve V1.52 SVN 945

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 8, 2009 06:00:00 UTC 2009 年 3 月 8 日 (日) 15 時 0 分 0 秒 (日本時間)
403e62318300Dmitry DomanovMay 8, 2011 07:02:51 UTC 2011 年 5 月 8 日 (日) 16 時 2 分 51 秒 (日本時間)
2018Wataru SakaiMarch 21, 2012 12:45:24 UTC 2012 年 3 月 21 日 (水) 21 時 45 分 24 秒 (日本時間)

46×10179+539

c145

name 名前Ben Meekins
date 日付December 8, 2013 05:45:30 UTC 2013 年 12 月 8 日 (日) 14 時 45 分 30 秒 (日本時間)
composite number 合成数
1917050521888612111430835574721356858765618326329204948630720077197510781012898112770104862245119966625262438321798542113245044156625250283606141<145>
prime factors 素因数
25307366378484088892618108440646762149339<41>
75750692237911301270146330918943215883490102243609264456041566544451995430947452584681537248508337053319<104>
factorization results 素因数分解の結果
Number: 51117_179
N = 1917050521888612111430835574721356858765618326329204948630720077197510781012898112770104862245119966625262438321798542113245044156625250283606141 (145 digits)
SNFS difficulty: 182 digits.
Divisors found:
r1=25307366378484088892618108440646762149339 (pp41)
r2=75750692237911301270146330918943215883490102243609264456041566544451995430947452584681537248508337053319 (pp104)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 11.98 hours.
Factorization parameters were as follows:
n: 1917050521888612111430835574721356858765618326329204948630720077197510781012898112770104862245119966625262438321798542113245044156625250283606141
m: 1000000000000000000000000000000000000
deg: 5
c5: 23
c0: 265
skew: 1.63
# Murphy_E = 1.084e-10
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 18151222
Relations: 2444396 relations
Pruned matrix : 1420587 x 1420814
Polynomial selection time: 0.00 hours.
Total sieving time: 10.50 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 1.04 hours.
time per square root: 0.28 hours.
Prototype def-par.txt line would be: snfs,182,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,400000
total time: 11.98 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.00GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 8, 2009 06:00:00 UTC 2009 年 3 月 8 日 (日) 15 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovMay 8, 2011 07:02:59 UTC 2011 年 5 月 8 日 (日) 16 時 2 分 59 秒 (日本時間)
4511e61450 / 4409600Rich DickersonMay 27, 2012 23:46:50 UTC 2012 年 5 月 28 日 (月) 8 時 46 分 50 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:05:29 UTC 2013 年 11 月 9 日 (土) 2 時 5 分 29 秒 (日本時間)

46×10180+539

c152

name 名前Dmitry Domanov
date 日付May 7, 2011 08:42:00 UTC 2011 年 5 月 7 日 (土) 17 時 42 分 0 秒 (日本時間)
composite number 合成数
43598381221094839507288540070441938525397802893994521571068029145376879469288581931701420262235820905394886135391243548568568403040282971966925722003301<152>
prime factors 素因数
97468122336647001057830064823663<32>
composite cofactor 合成数の残り
447309132215654689654408109293949131683816097109954910386756041203561740738371192016134046211626641194718145804676318827<120>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2061276160
Step 1 took 48807ms
Step 2 took 20742ms
********** Factor found in step 2: 97468122336647001057830064823663
Found probable prime factor of 32 digits: 97468122336647001057830064823663
Composite cofactor 447309132215654689654408109293949131683816097109954910386756041203561740738371192016134046211626641194718145804676318827 has 120 digits

c120

name 名前Dmitry Domanov
date 日付May 9, 2011 07:48:20 UTC 2011 年 5 月 9 日 (月) 16 時 48 分 20 秒 (日本時間)
composite number 合成数
447309132215654689654408109293949131683816097109954910386756041203561740738371192016134046211626641194718145804676318827<120>
prime factors 素因数
486366142818959542600545914208183244999901351698679245741<57>
919696279891252473210284302286259960716471759995272581726109047<63>
factorization results 素因数分解の結果
N=447309132215654689654408109293949131683816097109954910386756041203561740738371192016134046211626641194718145804676318827
  ( 120 digits)
Divisors found:
 r1=486366142818959542600545914208183244999901351698679245741 (pp57)
 r2=919696279891252473210284302286259960716471759995272581726109047 (pp63)
Version: Msieve-1.40
Total time: 35.46 hours.
Scaled time: 63.93 units (timescale=1.803).
Factorization parameters were as follows:
name: 120-1
n: 447309132215654689654408109293949131683816097109954910386756041203561740738371192016134046211626641194718145804676318827
skew: 39190.24
# norm 1.68e+016
c5: 52200
c4: 4804309965
c3: -170535740984271
c2: 12198762070388439058
c1: 39497644852140927108421
c0: -1028011063630088230638760878
# alpha -5.42
Y1: 203863485289
Y0: -96958845474669868746823
# Murphy_E 2.94e-010
# M 175395968513301889779397000123002185461910439467403151116909961147819798162692033069280131118113061568931719334496918056
type: gnfs
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 240000
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [2100000, 4020001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 683406 x 683633
Total sieving time: 34.59 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.52 hours.
Time per square root: 0.26 hours.
Prototype def-par.txt line would be:
gnfs,119,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4200000,4200000,27,27,53,53,2.5,2.5,100000
total time: 35.46 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 8, 2009 06:00:00 UTC 2009 年 3 月 8 日 (日) 15 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovMay 7, 2011 08:41:51 UTC 2011 年 5 月 7 日 (土) 17 時 41 分 51 秒 (日本時間)

46×10181+539

c130

name 名前Dmitry Domanov
date 日付May 7, 2011 13:11:50 UTC 2011 年 5 月 7 日 (土) 22 時 11 分 50 秒 (日本時間)
composite number 合成数
8050868590361103481123581783409000947916277247790055863338990124041472814581108703651531483107692726737681576257902496287752141353<130>
prime factors 素因数
2525936879856871967339317306474745006899<40>
3187280194751854854321131081132156360208059572313902063728911116518020475069933625694192947<91>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=179194915
Step 1 took 38995ms
Step 2 took 17801ms
********** Factor found in step 2: 2525936879856871967339317306474745006899
Found probable prime factor of 40 digits: 2525936879856871967339317306474745006899
Probable prime cofactor 3187280194751854854321131081132156360208059572313902063728911116518020475069933625694192947 has 91 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 8, 2009 06:00:00 UTC 2009 年 3 月 8 日 (日) 15 時 0 分 0 秒 (日本時間)

46×10183+539

c173

name 名前matsui
date 日付September 25, 2010 20:48:27 UTC 2010 年 9 月 26 日 (日) 5 時 48 分 27 秒 (日本時間)
composite number 合成数
26255260923147485614337271705231241718645396350655669877056659609708247654597938901048365079804714006206258997558560376878701593006639636281138594361003783217552185467188631<173>
prime factors 素因数
97615478858337576220196883665023<32>
686857425841925067639194697307825435966519460105765522310353<60>
391589512121857964795046044056982240741272581643641206242075597712944136284868249<81>
factorization results 素因数分解の結果
N=26255260923147485614337271705231241718645396350655669877056659609708247654597938901048365079804714006206258997558560376878701593006639636281138594361003783217552185467188631
  ( 173 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=97615478858337576220196883665023 (pp32)
 r2=686857425841925067639194697307825435966519460105765522310353 (pp60)
 r3=391589512121857964795046044056982240741272581643641206242075597712944136284868249 (pp81)
Version: Msieve v. 1.47
Total time:
Scaled time: 33.37 units (timescale=1.300).
Factorization parameters were as follows:
n: 26255260923147485614337271705231241718645396350655669877056659609708247654597938901048365079804714006206258997558560376878701593006639636281138594361003783217552185467188631
m: 1000000000000000000000000000000000000
deg: 5
c5: 46000
c0: 53
skew: 0.26
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 300000
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 12600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1747567 x 1747795
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,184.000,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 8, 2009 06:00:00 UTC 2009 年 3 月 8 日 (日) 15 時 0 分 0 秒 (日本時間)

46×10184+539

c151

name 名前Dmitry Domanov
date 日付May 7, 2011 18:21:46 UTC 2011 年 5 月 8 日 (日) 3 時 21 分 46 秒 (日本時間)
composite number 合成数
1295407803913656844105902869014253023683410548906793327708317172173362598687494003283856852874002212252081072199930709933646149567238547275003228829413<151>
prime factors 素因数
68348662031727087536466716575728067<35>
48276877243279409902325291877050711413283770989797066197<56>
392588271824136164835814908540780932259737255928401639104987<60>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1307602792
Step 1 took 48968ms
Step 2 took 20789ms
********** Factor found in step 2: 68348662031727087536466716575728067
Found probable prime factor of 35 digits: 68348662031727087536466716575728067
Composite cofactor 189529358060050303649798866123937523888098114825005755953910906467493425619586744183224609832367
41034592121471824439 has 116 digits

N=18952935806005030364979886612393752388809811482500575595391090646749342561958674418322460983236741034592121471824439
  ( 116 digits)
Divisors found:
prp56 factor: 48276877243279409902325291877050711413283770989797066197
prp60 factor: 392588271824136164835814908540780932259737255928401639104987
Version: Msieve v. 1.47
Total time: 3.74 hours.
Scaled time: 3.57 units (timescale=0.956).
Factorization parameters were as follows:
name: 116
n: 18952935806005030364979886612393752388809811482500575595391090646749342561958674418322460983236741034592121471824439
skew: 268534.76
# norm 1.24e+16
c5: 1320
c4: -536871748
c3: -286812831682274
c2: 36689839709533087061
c1: 7791482615447401862024378
c0: -293279878077520548387117803560
# alpha -6.15
Y1: 1913906933351
Y0: -27003683930668174396509
# Murphy_E 4.71e-10
# M 11694831595414151608152907391812249926403776382464597888445697622200777392461146908124687875881003118401015731508059
type: gnfs
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [1700000, 3000001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 526778 x 527014
Polynomial selection time: 3.16 hours.
Total sieving time: 0.00 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 0.41 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,115,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3400000,3400000,27,27,53,53,2.5,2.5,100000
total time: 3.74 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 8, 2009 06:00:00 UTC 2009 年 3 月 8 日 (日) 15 時 0 分 0 秒 (日本時間)

46×10188+539

c156

name 名前Dmitry Domanov
date 日付May 7, 2011 08:40:58 UTC 2011 年 5 月 7 日 (土) 17 時 40 分 58 秒 (日本時間)
composite number 合成数
749030842840978684829165730643182057313163079379228635272303056500235874169223657092626896073628224543248875881101604005281795588366940205197396613514961297<156>
prime factors 素因数
106078612189697222233149672294169<33>
composite cofactor 合成数の残り
7061092027688947714021125925888590638964188020248751009637490021659850790397084569813920328719844268768062362377288752665913<124>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2552544752
Step 1 took 60295ms
Step 2 took 22728ms
********** Factor found in step 2: 106078612189697222233149672294169
Found probable prime factor of 33 digits: 106078612189697222233149672294169
Composite cofactor 7061092027688947714021125925888590638964188020248751009637490021659850790397084569813920328719844268768062362377288752665913 has 124 digits

c124

name 名前Warut Roonguthai
date 日付May 20, 2011 19:11:37 UTC 2011 年 5 月 21 日 (土) 4 時 11 分 37 秒 (日本時間)
composite number 合成数
7061092027688947714021125925888590638964188020248751009637490021659850790397084569813920328719844268768062362377288752665913<124>
prime factors 素因数
3200885173224774779289019992338392513512224246074202826887<58>
2205981047603515145193333901586853038000953019522273356084287374399<67>
factorization results 素因数分解の結果
N = 7061092027688947714021125925888590638964188020248751009637490021659850790397084569813920328719844268768062362377288752665913 (124 digits)
Divisors found:
r1=3200885173224774779289019992338392513512224246074202826887 (pp58)
r2=2205981047603515145193333901586853038000953019522273356084287374399 (pp67)
Version: Msieve v. 1.48
Total time: 21.58 hours.
Factorization parameters were as follows:
n: 7061092027688947714021125925888590638964188020248751009637490021659850790397084569813920328719844268768062362377288752665913
Y0: -1225352024118903716059803
Y1: 18054035941813
c0: 13683102753454066557799935649
c1: -269056030093062257328712
c2: -17031523695708911836
c3: -48629038126886
c4: 2660230830
c5: 2556
skew: 97444.68  
type: gnfs
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 11033217
Relations: 1700834 relations
Pruned matrix : 969890 x 970138
Polynomial selection time: 0.00 hours.
Total sieving time: 20.33 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 1.14 hours.
time per square root: 0.06 hours.
Prototype def-par.txt line would be: gnfs,123,5,65,2000,1e-05,0.28,250,20,50000,3600,5200000,5200000,27,27,53,53,2.5,2.5,100000
total time: 21.58 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
351e6118Makoto KamadaMarch 8, 2009 06:00:00 UTC 2009 年 3 月 8 日 (日) 15 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovMay 7, 2011 08:40:48 UTC 2011 年 5 月 7 日 (土) 17 時 40 分 48 秒 (日本時間)

46×10189+539

c147

name 名前Dmitry Domanov
date 日付May 7, 2011 13:53:51 UTC 2011 年 5 月 7 日 (土) 22 時 53 分 51 秒 (日本時間)
composite number 合成数
687988096853038356824395075753137396795389772224190049002926669349359307047935968365979607428491609498327947859844932298984567151951366085931256469<147>
prime factors 素因数
203168919583066215168566041751902537<36>
289645146325421628508762349129442503<36>
11691154451853489091657394831500948739078883385151964716580983161363444100779<77>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3606981450
Step 1 took 48561ms
Step 2 took 20751ms
********** Factor found in step 2: 289645146325421628508762349129442503
Found probable prime factor of 36 digits: 289645146325421628508762349129442503
Composite cofactor 2375279218661828102323670074947776644981746718731130169307563225717943433015767867436717220661575044372413776323 has 112 digits


Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3738419429
Step 1 took 30414ms
Step 2 took 15262ms
********** Factor found in step 2: 203168919583066215168566041751902537
Found probable prime factor of 36 digits: 203168919583066215168566041751902537
Probable prime cofactor 11691154451853489091657394831500948739078883385151964716580983161363444100779 has 77 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 8, 2009 06:00:00 UTC 2009 年 3 月 8 日 (日) 15 時 0 分 0 秒 (日本時間)

46×10190+539

c179

name 名前Robert Backstrom
date 日付February 25, 2012 09:00:54 UTC 2012 年 2 月 25 日 (土) 18 時 0 分 54 秒 (日本時間)
composite number 合成数
49153813175161471830911331452613675050688252924872273778965860549157073639432211647971104146159990792974916611616070532815443948211553884649551693291422572609231701739240912969573<179>
prime factors 素因数
2453738045939966187882177617817886649577410908116584971<55>
20032217072434830798943938289862893421702162164147315688189361528393624881868428819962334697617908172764585570520457529168463<125>
factorization results 素因数分解の結果
Number: n
N=49153813175161471830911331452613675050688252924872273778965860549157073639432211647971104146159990792974916611616070532815443948211553884649551693291422572609231701739240912969573
  ( 179 digits)
SNFS difficulty: 191 digits.
Divisors found:

Sat Feb 25 19:42:00 2012  prp55 factor: 2453738045939966187882177617817886649577410908116584971
Sat Feb 25 19:42:00 2012  prp125 factor: 20032217072434830798943938289862893421702162164147315688189361528393624881868428819962334697617908172764585570520457529168463
Sat Feb 25 19:42:00 2012  elapsed time 03:49:48 (Msieve 1.44 - dependency 4)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.651).
Factorization parameters were as follows:
name: KA_51117_190
n: 49153813175161471830911331452613675050688252924872273778965860549157073639432211647971104146159990792974916611616070532815443948211553884649551693291422572609231701739240912969573
m: 100000000000000000000000000000000000000
#  c179, diff: 191.66
skew: 1.03
deg: 5
c5: 46
c0: 53
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 13100000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 7752637 hash collisions in 80677843 relations (75635479 unique)
Msieve: matrix is 1330968 x 1331216 (370.4 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.93 BogoMIPS (lpj=2798468)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797560)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Total of 8 processors activated (44762.71 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 8, 2009 06:00:00 UTC 2009 年 3 月 8 日 (日) 15 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovMay 8, 2011 07:03:17 UTC 2011 年 5 月 8 日 (日) 16 時 3 分 17 秒 (日本時間)

46×10191+539

c163

name 名前Serge Batalov
date 日付January 9, 2014 08:23:08 UTC 2014 年 1 月 9 日 (木) 17 時 23 分 8 秒 (日本時間)
composite number 合成数
2345706485220687553053065648307277715017657464535178247846351935983232284108304741057894094651221288101302989309953655054847938106665542756118425953023810992405789<163>
prime factors 素因数
43588181546917410705554323509857167182157<41>
composite cofactor 合成数の残り
53815194898548771799493426574754251592308263772843897679877246687775680069807731091656623772514851164757820609602197052177<122>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3276860310
Step 1 took 12214ms
Step 2 took 5606ms
********** Factor found in step 2: 43588181546917410705554323509857167182157
Found probable prime factor of 41 digits: 43588181546917410705554323509857167182157
Composite cofactor

c122

name 名前Cyp
date 日付January 15, 2014 06:07:16 UTC 2014 年 1 月 15 日 (水) 15 時 7 分 16 秒 (日本時間)
composite number 合成数
53815194898548771799493426574754251592308263772843897679877246687775680069807731091656623772514851164757820609602197052177<122>
prime factors 素因数
12089807619930865576394363006284179875886422016223<50>
4451286289273187699524866644828833304451529400887976125059631102267830799<73>
factorization results 素因数分解の結果
01/15/14 00:41:31 v1.34.3, nfs: commencing nfs on c122: 53815194898548771799493426574754251592308263772843897679877246687775680069807731091656623772514851164757820609602197052177
01/15/14 00:41:31 v1.34.3, nfs: commencing poly selection with 8 threads
01/15/14 00:41:31 v1.34.3, nfs: setting deadline of 2435 seconds
01/15/14 01:24:55 v1.34.3, nfs: completed 193 ranges of size 250 in 2603.7541 seconds
01/15/14 01:24:55 v1.34.3, nfs: best poly = # norm 1.255307e-11 alpha -7.127819 e 2.234e-10 rroots 5
01/15/14 01:24:55 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/14 01:30:48 v1.34.3, nfs: commencing lattice sieving with 8 threads
[44 lines snipped]
01/15/14 06:01:42 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/14 06:08:05 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/14 06:14:13 v1.34.3, nfs: commencing msieve filtering
01/15/14 06:16:02 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/14 06:22:06 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/14 06:28:19 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/14 06:34:39 v1.34.3, nfs: commencing msieve filtering
01/15/14 06:37:02 v1.34.3, nfs: commencing msieve linear algebra
01/15/14 07:01:55 v1.34.3, nfs: commencing msieve sqrt
01/15/14 07:07:15 v1.34.3, prp73 = 4451286289273187699524866644828833304451529400887976125059631102267830799
01/15/14 07:07:15 v1.34.3, prp50 = 12089807619930865576394363006284179875886422016223
01/15/14 07:07:15 v1.34.3, NFS elapsed time = 23143.5132 seconds.
01/15/14 07:07:15 v1.34.3, 
01/15/14 07:07:15 v1.34.3, 
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 8, 2009 06:00:00 UTC 2009 年 3 月 8 日 (日) 15 時 0 分 0 秒 (日本時間)
403e61600 / 2318300Dmitry DomanovMay 8, 2011 07:03:25 UTC 2011 年 5 月 8 日 (日) 16 時 3 分 25 秒 (日本時間)
1000Dmitry DomanovApril 19, 2012 22:00:42 UTC 2012 年 4 月 20 日 (金) 7 時 0 分 42 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:32 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 32 秒 (日本時間)

46×10192+539

c142

name 名前Dmitry Domanov
date 日付May 7, 2011 08:40:03 UTC 2011 年 5 月 7 日 (土) 17 時 40 分 3 秒 (日本時間)
composite number 合成数
3009331813666545644664424468745508603922129884976763318316720728795925722444121635169119840087593173555914487609237719691204841646451130026581<142>
prime factors 素因数
3871098001751996070161471445417923<34>
777384559188264144168496351583629671118649044676918658801770590186758888747493283209976403996242077398205447<108>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2032199062
Step 1 took 48543ms
Step 2 took 19821ms
********** Factor found in step 2: 3871098001751996070161471445417923
Found probable prime factor of 34 digits: 3871098001751996070161471445417923
Probable prime cofactor 777384559188264144168496351583629671118649044676918658801770590186758888747493283209976403996242077398205447 has 108 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 8, 2009 06:00:00 UTC 2009 年 3 月 8 日 (日) 15 時 0 分 0 秒 (日本時間)

46×10194+539

c172

name 名前Serge Batalov
date 日付May 26, 2014 19:21:44 UTC 2014 年 5 月 27 日 (火) 4 時 21 分 44 秒 (日本時間)
composite number 合成数
6515809569739764532407214152189652539457433106670296222435507389256166090584532705724904159738863353699365842893685803302124793340858225322822576525000447958340764033274781<172>
prime factors 素因数
356205725103224012648080590728880544079<39>
composite cofactor 合成数の残り
18292265144956790135032643585098619824613772932067513376088308421027931737206383637496912132075485584036176968006107765882321847808339<134>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1379052580
Step 1 took 12201ms
Step 2 took 5843ms
********** Factor found in step 2: 356205725103224012648080590728880544079
Found probable prime factor of 39 digits: 356205725103224012648080590728880544079
Composite cofactor 

c134

name 名前Erik Branger
date 日付June 5, 2014 08:03:17 UTC 2014 年 6 月 5 日 (木) 17 時 3 分 17 秒 (日本時間)
composite number 合成数
18292265144956790135032643585098619824613772932067513376088308421027931737206383637496912132075485584036176968006107765882321847808339<134>
prime factors 素因数
51069793464432621202430095832561012318560700661857084796079<59>
358181694188686588885404487177299840997810677705010881058924619352158262941<75>
factorization results 素因数分解の結果
Number: 51117_194
N = 18292265144956790135032643585098619824613772932067513376088308421027931737206383637496912132075485584036176968006107765882321847808339 (134 digits)
Divisors found:
r1=51069793464432621202430095832561012318560700661857084796079 (pp59)
r2=358181694188686588885404487177299840997810677705010881058924619352158262941 (pp75)
Version: Msieve v. 1.51 (SVN 845)
Total time: 166.05 hours.
Factorization parameters were as follows:
# Murphy_E = 5.198e-11, selected by Erik Branger
# expecting poly E from 5.27e-011 to > 6.06e-011
n: 18292265144956790135032643585098619824613772932067513376088308421027931737206383637496912132075485584036176968006107765882321847808339
Y0: -66411112610210242307320038
Y1: 142853201896129
c0: 56509026869492569475062572485015
c1: 209971746899503972603411172
c2: -4048303187330870104479
c3: -69066662650692392
c4: 6873759124
c5: 14160
skew: 595551.14
type: gnfs
# selected mechanically
rlim: 12000000
alim: 12000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 12000000/12000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 20093651
Relations: 3005864 relations
Pruned matrix : 1777772 x 1777999
Polynomial selection time: 0.00 hours.
Total sieving time: 161.26 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 3.11 hours.
time per square root: 1.50 hours.
Prototype def-par.txt line would be: gnfs,133,5,65,2000,1e-05,0.28,250,20,50000,3600,12000000,12000000,28,28,54,54,2.6,2.6,100000
total time: 166.05 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 8, 2009 06:00:00 UTC 2009 年 3 月 8 日 (日) 15 時 0 分 0 秒 (日本時間)
403e61900300Dmitry DomanovMay 8, 2011 07:03:35 UTC 2011 年 5 月 8 日 (日) 16 時 3 分 35 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:32 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 32 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:44 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 44 秒 (日本時間)
4511e64199143KTakahashiMay 30, 2014 12:21:27 UTC 2014 年 5 月 30 日 (金) 21 時 21 分 27 秒 (日本時間)
4056CypMay 30, 2014 14:48:17 UTC 2014 年 5 月 30 日 (金) 23 時 48 分 17 秒 (日本時間)

46×10195+539

c106

name 名前Sinkiti Sibata
date 日付March 12, 2009 06:55:22 UTC 2009 年 3 月 12 日 (木) 15 時 55 分 22 秒 (日本時間)
composite number 合成数
4204211679507424846451086882635743171490086993932991463923317493021943202107350324813720870968483350075203<106>
prime factors 素因数
32929899691477187500923347753881273778706767921810279<53>
127671560463196479694817849115602475215226567268386757<54>
factorization results 素因数分解の結果
Thu Mar 12 07:10:59 2009  Msieve v. 1.39
Thu Mar 12 07:10:59 2009  random seeds: 0238fc48 25b627af
Thu Mar 12 07:10:59 2009  factoring 4204211679507424846451086882635743171490086993932991463923317493021943202107350324813720870968483350075203 (106 digits)
Thu Mar 12 07:11:00 2009  searching for 15-digit factors
Thu Mar 12 07:11:02 2009  commencing quadratic sieve (106-digit input)
Thu Mar 12 07:11:02 2009  using multiplier of 2
Thu Mar 12 07:11:02 2009  using 32kb Intel Core sieve core
Thu Mar 12 07:11:02 2009  sieve interval: 40 blocks of size 32768
Thu Mar 12 07:11:02 2009  processing polynomials in batches of 6
Thu Mar 12 07:11:02 2009  using a sieve bound of 4380851 (153831 primes)
Thu Mar 12 07:11:02 2009  using large prime bound of 657127650 (29 bits)
Thu Mar 12 07:11:02 2009  using double large prime bound of 7443368346761550 (45-53 bits)
Thu Mar 12 07:11:02 2009  using trial factoring cutoff of 53 bits
Thu Mar 12 07:11:02 2009  polynomial 'A' values have 14 factors
Thu Mar 12 07:11:06 2009  restarting with 28225 full and 1742777 partial relations
Thu Mar 12 15:40:24 2009  154260 relations (37055 full + 117205 combined from 2278358 partial), need 153927
Thu Mar 12 15:40:27 2009  begin with 2315413 relations
Thu Mar 12 15:40:29 2009  reduce to 404849 relations in 10 passes
Thu Mar 12 15:40:29 2009  attempting to read 404849 relations
Thu Mar 12 15:40:38 2009  recovered 404849 relations
Thu Mar 12 15:40:38 2009  recovered 395853 polynomials
Thu Mar 12 15:40:39 2009  attempting to build 154260 cycles
Thu Mar 12 15:40:39 2009  found 154260 cycles in 6 passes
Thu Mar 12 15:40:39 2009  distribution of cycle lengths:
Thu Mar 12 15:40:39 2009     length 1 : 37055
Thu Mar 12 15:40:39 2009     length 2 : 26623
Thu Mar 12 15:40:39 2009     length 3 : 25681
Thu Mar 12 15:40:39 2009     length 4 : 21146
Thu Mar 12 15:40:39 2009     length 5 : 15928
Thu Mar 12 15:40:39 2009     length 6 : 10746
Thu Mar 12 15:40:39 2009     length 7 : 7172
Thu Mar 12 15:40:39 2009     length 9+: 9909
Thu Mar 12 15:40:39 2009  largest cycle: 20 relations
Thu Mar 12 15:40:40 2009  matrix is 153831 x 154260 (42.4 MB) with weight 10493401 (68.02/col)
Thu Mar 12 15:40:40 2009  sparse part has weight 10493401 (68.02/col)
Thu Mar 12 15:40:43 2009  filtering completed in 3 passes
Thu Mar 12 15:40:43 2009  matrix is 147388 x 147451 (40.7 MB) with weight 10068967 (68.29/col)
Thu Mar 12 15:40:43 2009  sparse part has weight 10068967 (68.29/col)
Thu Mar 12 15:40:43 2009  saving the first 48 matrix rows for later
Thu Mar 12 15:40:43 2009  matrix is 147340 x 147451 (22.6 MB) with weight 7695468 (52.19/col)
Thu Mar 12 15:40:43 2009  sparse part has weight 5029748 (34.11/col)
Thu Mar 12 15:40:43 2009  matrix includes 64 packed rows
Thu Mar 12 15:40:43 2009  using block size 43690 for processor cache size 1024 kB
Thu Mar 12 15:40:44 2009  commencing Lanczos iteration
Thu Mar 12 15:40:44 2009  memory use: 23.5 MB
Thu Mar 12 15:43:17 2009  lanczos halted after 2331 iterations (dim = 147339)
Thu Mar 12 15:43:17 2009  recovered 17 nontrivial dependencies
Thu Mar 12 15:43:19 2009  prp53 factor: 32929899691477187500923347753881273778706767921810279
Thu Mar 12 15:43:19 2009  prp54 factor: 127671560463196479694817849115602475215226567268386757
Thu Mar 12 15:43:19 2009  elapsed time 08:32:20

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 8, 2009 06:00:00 UTC 2009 年 3 月 8 日 (日) 15 時 0 分 0 秒 (日本時間)

46×10197+539

c151

composite cofactor 合成数の残り
1447914103432736664415734305551828150170134803749109541598915768955477156095372520906516104334027348016842893775458392613166360960340755165097788444391<151>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 8, 2009 06:00:00 UTC 2009 年 3 月 8 日 (日) 15 時 0 分 0 秒 (日本時間)
403e62900300Dmitry DomanovMay 8, 2011 07:03:42 UTC 2011 年 5 月 8 日 (日) 16 時 3 分 42 秒 (日本時間)
1000Dmitry DomanovApril 19, 2012 22:00:23 UTC 2012 年 4 月 20 日 (金) 7 時 0 分 23 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:33 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 33 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:45 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 45 秒 (日本時間)

46×10199+539

c146

name 名前Dmitry Domanov
date 日付May 7, 2011 08:39:25 UTC 2011 年 5 月 7 日 (土) 17 時 39 分 25 秒 (日本時間)
composite number 合成数
74215226556339690310573678828635189353050365128424851195623371717708607046309313523405947502440693814214221561297543809521118931886866549446844717<146>
prime factors 素因数
8042182769509210288867886080049371<34>
9228244207246339120356091239120613546000228361581462728549566151127754987935896838634941182791420926681663512727<112>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1513771146
Step 1 took 48712ms
Step 2 took 20703ms
********** Factor found in step 2: 8042182769509210288867886080049371
Found probable prime factor of 34 digits: 8042182769509210288867886080049371
Probable prime cofactor 9228244207246339120356091239120613546000228361581462728549566151127754987935896838634941182791420926681663512727 has 112 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 8, 2009 06:00:00 UTC 2009 年 3 月 8 日 (日) 15 時 0 分 0 秒 (日本時間)

46×10203+539

c197

name 名前Robert Backstrom
date 日付May 5, 2010 16:37:09 UTC 2010 年 5 月 6 日 (木) 1 時 37 分 9 秒 (日本時間)
composite number 合成数
69081569098937106472524029836089410112331286851919706972803742611144247737679981703596246822379226607505210890336928683597087515039695846466152606682629615157541494482732904117530335706840887981097<197>
prime factors 素因数
5715864031230142902851805699151858578316280824146042384431377937<64>
12085936390629935540519190031376021498734979664490269443056595778538897160710218703998409861133935468070652761918681093617885734038681<134>
factorization results 素因数分解の結果
Number: n
N=69081569098937106472524029836089410112331286851919706972803742611144247737679981703596246822379226607505210890336928683597087515039695846466152606682629615157541494482732904117530335706840887981097
  ( 197 digits)
SNFS difficulty: 204 digits.
Divisors found:

Thu May  6 02:32:07 2010  prp64 factor: 5715864031230142902851805699151858578316280824146042384431377937
Thu May  6 02:32:07 2010  prp134 factor: 12085936390629935540519190031376021498734979664490269443056595778538897160710218703998409861133935468070652761918681093617885734038681
Thu May  6 02:32:07 2010  elapsed time 09:54:10 (Msieve 1.42 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.899).
Factorization parameters were as follows:
name: KA_5_1_202_7
n: 69081569098937106472524029836089410112331286851919706972803742611144247737679981703596246822379226607505210890336928683597087515039695846466152606682629615157541494482732904117530335706840887981097
m: 10000000000000000000000000000000000000000
deg: 5
c5: 46000
c0: 53
skew: 0.26
type: snfs
lss: 1
rlim: 18000000
alim: 18000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 18000000/18000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 26700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5508234 hash collisions in 33984419 relations
Msieve: matrix is 2518551 x 2518776 (716.9 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,204,5,0,0,0,0,0,0,0,0,18000000,18000000,28,28,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6060216k/7077888k available (3972k kernel code, 787972k absent, 229700k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.79 BogoMIPS (lpj=2798398)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797551)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44762.55 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaMarch 8, 2009 06:00:00 UTC 2009 年 3 月 8 日 (日) 15 時 0 分 0 秒 (日本時間)
786JPascoaDecember 6, 2009 08:59:58 UTC 2009 年 12 月 6 日 (日) 17 時 59 分 58 秒 (日本時間)
403e62104Wataru SakaiMarch 26, 2010 10:44:35 UTC 2010 年 3 月 26 日 (金) 19 時 44 分 35 秒 (日本時間)

46×10205+539

c135

name 名前Wataru Sakai
date 日付December 6, 2009 17:10:35 UTC 2009 年 12 月 7 日 (月) 2 時 10 分 35 秒 (日本時間)
composite number 合成数
510355075382275578266994425173545119571377724041807527388857658760265266327206443290922987881897157813601799889660095582050696645869607<135>
prime factors 素因数
607274900896188899800306385808818802249277400279<48>
840402056184302338438933074944598279441760700448891869373453899535604414870371463267633<87>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1222432706
Step 1 took 210809ms
Step 2 took 60202ms
********** Factor found in step 2: 607274900896188899800306385808818802249277400279
Found probable prime factor of 48 digits: 607274900896188899800306385808818802249277400279
Probable prime cofactor 840402056184302338438933074944598279441760700448891869373453899535604414870371463267633 has 87 digits
software ソフトウェア
GMP-ECM 6.2.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 8, 2009 06:00:00 UTC 2009 年 3 月 8 日 (日) 15 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiApril 27, 2009 13:32:56 UTC 2009 年 4 月 27 日 (月) 22 時 32 分 56 秒 (日本時間)
4511e63963Wataru SakaiMay 7, 2009 13:42:28 UTC 2009 年 5 月 7 日 (木) 22 時 42 分 28 秒 (日本時間)
5043e62081 / 6576Wataru SakaiMay 30, 2009 06:31:28 UTC 2009 年 5 月 30 日 (土) 15 時 31 分 28 秒 (日本時間)

46×10206+539

c170

composite cofactor 合成数の残り
28607557879891218905671662507498242505193784409974947120196617650693738076595769897732609339679000310601859386773282669105956333472759462619446211965727534996615071298283<170>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61318118Makoto KamadaApril 13, 2012 13:00:00 UTC 2012 年 4 月 13 日 (金) 22 時 0 分 0 秒 (日本時間)
1200Warut RoonguthaiApril 14, 2012 03:22:08 UTC 2012 年 4 月 14 日 (土) 12 時 22 分 8 秒 (日本時間)
403e626001000Dmitry DomanovApril 19, 2012 22:00:08 UTC 2012 年 4 月 20 日 (金) 7 時 0 分 8 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:34 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 34 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:45 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 45 秒 (日本時間)

46×10207+539

c140

name 名前Erik Branger
date 日付June 2, 2016 17:53:53 UTC 2016 年 6 月 3 日 (金) 2 時 53 分 53 秒 (日本時間)
composite number 合成数
24719794152630484017734539678778772592111968003652971891154571220146770492484126329119659775523069794921530746282722984769491992425647600109<140>
prime factors 素因数
6486710828538431932629049885866128760225746308482769279161830567153<67>
3810836463354461093272792913404319396974247218095790350024650396792997053<73>
factorization results 素因数分解の結果
Number: 51117_207
N = 24719794152630484017734539678778772592111968003652971891154571220146770492484126329119659775523069794921530746282722984769491992425647600109 (140 digits)
Divisors found:
r1=6486710828538431932629049885866128760225746308482769279161830567153 (pp67)
r2=3810836463354461093272792913404319396974247218095790350024650396792997053 (pp73)
Version: Msieve v. 1.51 (SVN 845)
Total time: 352.02 hours.
Factorization parameters were as follows:
# Murphy_E = 2.411e-11, selected by Erik Branger
# expecting poly E from 2.24e-011 to > 2.57e-011
n: 24719794152630484017734539678778772592111968003652971891154571220146770492484126329119659775523069794921530746282722984769491992425647600109
Y0: -1144286700877518321876266416
Y1: 63716768112143
c0: 39123567724298483606308374522428115
c1: 102969706810332832168804997863
c2: -21810623179166312493609
c3: -125236582348433279
c4: 27236557750
c5: 12600
skew: 1520867.6
type: gnfs
# selected mechanically
rlim: 17600000
alim: 17600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 17600000/17600000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23007762
Relations: 3205938 relations
Pruned matrix : 2006508 x 2006733
Polynomial selection time: 0.00 hours.
Total sieving time: 346.95 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 3.92 hours.
time per square root: 0.94 hours.
Prototype def-par.txt line would be: gnfs,139,5,65,2000,1e-05,0.28,250,20,50000,3600,17600000,17600000,28,28,55,55,2.6,2.6,100000
total time: 352.02 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61318118Makoto KamadaApril 13, 2012 13:00:00 UTC 2012 年 4 月 13 日 (金) 22 時 0 分 0 秒 (日本時間)
1200Warut RoonguthaiApril 14, 2012 03:22:44 UTC 2012 年 4 月 14 日 (土) 12 時 22 分 44 秒 (日本時間)
403e61000Dmitry DomanovApril 19, 2012 21:58:20 UTC 2012 年 4 月 20 日 (金) 6 時 58 分 20 秒 (日本時間)
4511e64200300Dmitry DomanovMay 15, 2012 16:34:11 UTC 2012 年 5 月 16 日 (水) 1 時 34 分 11 秒 (日本時間)
850Serge BatalovNovember 8, 2013 01:46:05 UTC 2013 年 11 月 8 日 (金) 10 時 46 分 5 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:09:12 UTC 2013 年 11 月 9 日 (土) 2 時 9 分 12 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:23:22 UTC 2014 年 1 月 6 日 (月) 11 時 23 分 22 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:17 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 17 秒 (日本時間)

46×10208+539

c202

composite cofactor 合成数の残り
8760154232798927741886854571594083932675472411789103247958584123694444220679635237080529298421528756986865729364442621570611480284958676162445329258109584235272147807568586627765487852703567369042502383<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61318118Makoto KamadaApril 13, 2012 13:00:00 UTC 2012 年 4 月 13 日 (金) 22 時 0 分 0 秒 (日本時間)
1200Warut RoonguthaiApril 14, 2012 03:23:12 UTC 2012 年 4 月 14 日 (土) 12 時 23 分 12 秒 (日本時間)
403e61000Dmitry DomanovApril 21, 2012 20:42:45 UTC 2012 年 4 月 22 日 (日) 5 時 42 分 45 秒 (日本時間)
4511e6700 / 4199400Dmitry DomanovMay 14, 2012 10:17:38 UTC 2012 年 5 月 14 日 (月) 19 時 17 分 38 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:48 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 48 秒 (日本時間)

46×10209+539

c174

name 名前Warut Roonguthai
date 日付April 13, 2012 23:28:35 UTC 2012 年 4 月 14 日 (土) 8 時 28 分 35 秒 (日本時間)
composite number 合成数
804189037386456536265482253288450455001628598321601999916338671752435300467420431544243639758153780169329987083270590875595727300976773105921020683935017605673115960107785207<174>
prime factors 素因数
1514073145791750955249421462029<31>
composite cofactor 合成数の残り
531142791629081911772044693544457664544297913577348733859506981554271739768443056317908722244676149186591591901609102908156435243643912228139283<144>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1887263021
Step 1 took 11061ms
Step 2 took 6364ms
********** Factor found in step 2: 1514073145791750955249421462029
Found probable prime factor of 31 digits: 1514073145791750955249421462029
Composite cofactor 531142791629081911772044693544457664544297913577348733859506981554271739768443056317908722244676149186591591901609102908156435243643912228139283 has 144 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
351e62118118Makoto KamadaApril 13, 2012 13:00:00 UTC 2012 年 4 月 13 日 (金) 22 時 0 分 0 秒 (日本時間)
2000Warut RoonguthaiApril 15, 2012 10:35:05 UTC 2012 年 4 月 15 日 (日) 19 時 35 分 5 秒 (日本時間)
403e617731000Dmitry DomanovApril 19, 2012 21:58:37 UTC 2012 年 4 月 20 日 (金) 6 時 58 分 37 秒 (日本時間)
773Wataru SakaiMay 14, 2012 11:48:17 UTC 2012 年 5 月 14 日 (月) 20 時 48 分 17 秒 (日本時間)
4511e64000Wataru SakaiJuly 1, 2012 02:03:41 UTC 2012 年 7 月 1 日 (日) 11 時 3 分 41 秒 (日本時間)

46×10210+539

c150

name 名前Serge Batalov
date 日付January 9, 2014 07:28:32 UTC 2014 年 1 月 9 日 (木) 16 時 28 分 32 秒 (日本時間)
composite number 合成数
309752086864283301234823890714196786839296803621874969734359058517228106214399313873367755473584509499493935772672629936595005895959579921002246849891<150>
prime factors 素因数
36160540250832942253940065988775429682561<41>
74696529233693120954316931825791675263933<41>
114677682501777939938862077877188602016463074463079376651679754911007<69>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4084337546
Step 1 took 9121ms
********** Factor found in step 1: 36160540250832942253940065988775429682561
Found probable prime factor of 41 digits: 36160540250832942253940065988775429682561

Divisors found:
 r1=74696529233693120954316931825791675263933 (pp41)
 r2=114677682501777939938862077877188602016463074463079376651679754911007 (pp69)
Version: Msieve v. 1.51 (SVN 719M)
Total time: 8.87 hours.
Scaled time: 21.29 units (timescale=2.400).
Factorization parameters were as follows:
name: test
type: gnfs
n:  8566024863446233969852215872627966312281179820671806814032621495682944628842820608754823848874739219651810531
skew:  48625098.09
Y0:  -698426785050954013494707559
Y1:  171537179398835
c0:  -4114909554190513666694434485220
c1:  5777153529912028316681276
c2:  -1689411128820716
c3:  -2266645961
c4:  36
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1600000, 3500001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 464965 x 465193
Total sieving time: 8.65 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
gnfs,108,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,26,26,49,49,2.6,2.6,100000
total time: 8.87 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61318118Makoto KamadaApril 13, 2012 13:00:00 UTC 2012 年 4 月 13 日 (金) 22 時 0 分 0 秒 (日本時間)
1200Warut RoonguthaiApril 14, 2012 03:23:52 UTC 2012 年 4 月 14 日 (土) 12 時 23 分 52 秒 (日本時間)
403e61300 / 19911000Dmitry DomanovApril 19, 2012 21:58:50 UTC 2012 年 4 月 20 日 (金) 6 時 58 分 50 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:34 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 34 秒 (日本時間)

46×10213+539

c207

name 名前Warut Roonguthai
date 日付April 13, 2012 14:46:57 UTC 2012 年 4 月 13 日 (金) 23 時 46 分 57 秒 (日本時間)
composite number 合成数
245733572380815731718000490067531805897252094476716474244191508741579197935128569861752802934618699409233521249535556870657530527495051954193830443055120246545134213774286630230895164293967461424062698301317<207>
prime factors 素因数
26583562647754808413545984721368563<35>
composite cofactor 合成数の残り
9243816400266044495981183139498986764233361358717508035057112153189016871716970157533923825441788310548254291362755988757954729486980000683401112214452164727659209299374759<172>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3006603463
Step 1 took 11638ms
Step 2 took 6895ms
********** Factor found in step 2: 26583562647754808413545984721368563
Found probable prime factor of 35 digits: 26583562647754808413545984721368563
Composite cofactor 9243816400266044495981183139498986764233361358717508035057112153189016871716970157533923825441788310548254291362755988757954729486980000683401112214452164727659209299374759 has 172 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
351e6118Makoto KamadaApril 13, 2012 13:00:00 UTC 2012 年 4 月 13 日 (金) 22 時 0 分 0 秒 (日本時間)
403e62900300Dmitry DomanovApril 18, 2012 07:32:29 UTC 2012 年 4 月 18 日 (水) 16 時 32 分 29 秒 (日本時間)
1000Dmitry DomanovApril 19, 2012 21:59:10 UTC 2012 年 4 月 20 日 (金) 6 時 59 分 10 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:35 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 35 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:46 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 46 秒 (日本時間)

46×10214+539

c202

composite cofactor 合成数の残り
2921326514827509608578115720092035670078514785355829330317258400027472179638362520764407655479247314805877786985459305756983606579839631395901935465046733166751903334525757884864111348179562764523825629<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2012 13:00:00 UTC 2012 年 4 月 13 日 (金) 22 時 0 分 0 秒 (日本時間)
403e62900300Dmitry DomanovApril 18, 2012 07:33:02 UTC 2012 年 4 月 18 日 (水) 16 時 33 分 2 秒 (日本時間)
1000Dmitry DomanovApril 21, 2012 20:43:01 UTC 2012 年 4 月 22 日 (日) 5 時 43 分 1 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:35 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 35 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:46 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 46 秒 (日本時間)

46×10215+539

c213

name 名前Bob Backstrom
date 日付October 19, 2017 00:19:08 UTC 2017 年 10 月 19 日 (木) 9 時 19 分 8 秒 (日本時間)
composite number 合成数
463382693663745340989221315603908532285685504180517779792485141533192303817870454316510526845975622040898559484234914878613881333736274806084416238541351868641079883146972902185957489674624760753500554044525032739<213>
prime factors 素因数
37798713416007810579540685867163854304302576444575194806132182833622538811723112558347829110559847257413<104>
12259218681964505449943888367268720302074373447184799095502977366846623055820666702565078346309119421334258503<110>
factorization results 素因数分解の結果
Number: n
N=463382693663745340989221315603908532285685504180517779792485141533192303817870454316510526845975622040898559484234914878613881333736274806084416238541351868641079883146972902185957489674624760753500554044525032739
  ( 213 digits)
SNFS difficulty: 217 digits.
Divisors found:

Thu Oct 19 11:09:06 2017  p104 factor: 37798713416007810579540685867163854304302576444575194806132182833622538811723112558347829110559847257413
Thu Oct 19 11:09:06 2017  p110 factor: 12259218681964505449943888367268720302074373447184799095502977366846623055820666702565078346309119421334258503
Thu Oct 19 11:09:06 2017  elapsed time 06:24:28 (Msieve 1.53 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.114).
Factorization parameters were as follows:
#
# 46x10^215+53 51(214)7
#
n: 463382693663745340989221315603908532285685504180517779792485141533192303817870454316510526845975622040898559484234914878613881333736274806084416238541351868641079883146972902185957489674624760753500554044525032739
m: 1000000000000000000000000000000000000
deg: 6
c6: 23
c0: 265
skew: 1.50
# Murphy_E = 2.693e-12
type: snfs
lss: 1
rlim: 29000000
alim: 29000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 29000000/29000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 62500000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 12388877 hash collisions in 67760696 relations (56393090 unique)
Msieve: matrix is 4085441 x 4085666 (1163.6 MB)

Sieving start time: 2017/10/17 16:33:21
Sieving end time  : 2017/10/19 04:43:10

Total sieving time: 36hrs 9min 49secs.

Total relation processing time: 5hrs 50min 35sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 13min 41sec.

Prototype def-par.txt line would be:
snfs,217,6,0,0,0,0,0,0,0,0,29000000,29000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.178577] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16306368K/16703460K available (9091K kernel code, 1667K rwdata, 3820K rodata, 2232K init, 2364K bss, 397092K reserved, 0K cma-reserved)
[    0.215024] x86/mm: Memory block size: 128MB
[    0.000018] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.38 BogoMIPS (lpj=11976772)
[    0.212835] smpboot: Total of 16 processors activated (95814.17 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaApril 13, 2012 13:00:00 UTC 2012 年 4 月 13 日 (金) 22 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiApril 14, 2012 08:10:39 UTC 2012 年 4 月 14 日 (土) 17 時 10 分 39 秒 (日本時間)
403e61000Dmitry DomanovApril 21, 2012 20:43:14 UTC 2012 年 4 月 22 日 (日) 5 時 43 分 14 秒 (日本時間)
4511e64350400Serge BatalovApril 18, 2012 00:27:27 UTC 2012 年 4 月 18 日 (水) 9 時 27 分 27 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:14:36 UTC 2013 年 11 月 9 日 (土) 2 時 14 分 36 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:27:50 UTC 2014 年 1 月 6 日 (月) 11 時 27 分 50 秒 (日本時間)
1800Serge BatalovMay 24, 2014 09:17:19 UTC 2014 年 5 月 24 日 (土) 18 時 17 分 19 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:32 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 32 秒 (日本時間)

46×10217+539

c209

composite cofactor 合成数の残り
28975471671185866734513665839054316127329699581539343539414994061958010830042491223419864195994387320369727842435569614121822392277526932111802935078856211681660314552589284301737094436457472210070303091800663<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaApril 13, 2012 13:00:00 UTC 2012 年 4 月 13 日 (金) 22 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiApril 14, 2012 08:11:08 UTC 2012 年 4 月 14 日 (土) 17 時 11 分 8 秒 (日本時間)
403e60--
4511e61800 / 4429750Serge BatalovApril 17, 2012 07:00:13 UTC 2012 年 4 月 17 日 (火) 16 時 0 分 13 秒 (日本時間)
750Serge BatalovApril 18, 2012 00:29:44 UTC 2012 年 4 月 18 日 (水) 9 時 29 分 44 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:48 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 48 秒 (日本時間)

46×10218+539

c218

name 名前Bob Backstrom
date 日付October 12, 2017 05:44:11 UTC 2017 年 10 月 12 日 (木) 14 時 44 分 11 秒 (日本時間)
composite number 合成数
46464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464647<218>
prime factors 素因数
153975674495014874477945652411658793944734113<45>
137192997617512550722829253856679883665516846750430148610659<60>
2199573995041192864776816528913875074204886370524747639684530420070006514081845136162295594335129801960620561906541<115>
factorization results 素因数分解の結果
Number: n
N=46464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464647
  ( 218 digits)
SNFS difficulty: 219 digits.
Divisors found:

Thu Oct 12 15:38:15 2017  found factor: 153975674495014874477945652411658793944734113
Thu Oct 12 16:16:17 2017  found factor: 153975674495014874477945652411658793944734113
Thu Oct 12 16:38:01 2017  p45 factor: 153975674495014874477945652411658793944734113
Thu Oct 12 16:38:01 2017  p60 factor: 137192997617512550722829253856679883665516846750430148610659
Thu Oct 12 16:38:01 2017  p115 factor: 2199573995041192864776816528913875074204886370524747639684530420070006514081845136162295594335129801960620561906541
Thu Oct 12 16:38:01 2017  elapsed time 13:03:37 (Msieve 1.53 - dependency 4)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.723).
Factorization parameters were as follows:
#
# 46x10^218+53 51(217)7
#
n: 46464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464647
m: 1000000000000000000000000000000000000
deg: 6
c6: 4600
c0: 53
skew: 0.48
# Murphy_E = 1.528e-12
type: snfs
lss: 1
rlim: 32000000
alim: 32000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 32000000/32000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 108800000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 13790260 hash collisions in 65564064 relations (52041671 unique)
Msieve: matrix is 5512880 x 5513106 (1568.0 MB)

Sieving start time: 2017/10/09 07:25:29
Sieving end time  : 2017/10/12 03:32:34

Total sieving time: 68hrs 7min 5secs.

Total relation processing time: 11hrs 32min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 1hrs 12min 3sec.

Prototype def-par.txt line would be:
snfs,219,6,0,0,0,0,0,0,0,0,32000000,32000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.178577] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16306368K/16703460K available (9091K kernel code, 1667K rwdata, 3820K rodata, 2232K init, 2364K bss, 397092K reserved, 0K cma-reserved)
[    0.215024] x86/mm: Memory block size: 128MB
[    0.000018] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.38 BogoMIPS (lpj=11976772)
[    0.212835] smpboot: Total of 16 processors activated (95814.17 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaApril 13, 2012 13:00:00 UTC 2012 年 4 月 13 日 (金) 22 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiApril 14, 2012 08:11:37 UTC 2012 年 4 月 14 日 (土) 17 時 11 分 37 秒 (日本時間)
403e60--
4511e64550750Serge BatalovApril 17, 2012 06:58:47 UTC 2012 年 4 月 17 日 (火) 15 時 58 分 47 秒 (日本時間)
750Serge BatalovApril 18, 2012 00:29:15 UTC 2012 年 4 月 18 日 (水) 9 時 29 分 15 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:14:59 UTC 2013 年 11 月 9 日 (土) 2 時 14 分 59 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:28:08 UTC 2014 年 1 月 6 日 (月) 11 時 28 分 8 秒 (日本時間)
1800Serge BatalovMay 24, 2014 09:17:30 UTC 2014 年 5 月 24 日 (土) 18 時 17 分 30 秒 (日本時間)

46×10219+539

c181

composite cofactor 合成数の残り
2926845344250085652855438510148506339945377014886529447556734923470288138460980864643250776764044992908003382069281262892308346213081390599181383226914023491044317168637296905062037<181>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaApril 13, 2012 13:00:00 UTC 2012 年 4 月 13 日 (金) 22 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiApril 14, 2012 08:08:50 UTC 2012 年 4 月 14 日 (土) 17 時 8 分 50 秒 (日本時間)
403e626001000Dmitry DomanovApril 21, 2012 20:44:13 UTC 2012 年 4 月 22 日 (日) 5 時 44 分 13 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:36 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 36 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:47 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 47 秒 (日本時間)

46×10224+539

c215

composite cofactor 合成数の残り
30211636235016390964016385561565026268926381824611094752170148424000436116213035338635752822263853382762740859365543844573224579508868729314630281025268967905991298661779526096872844067529254042318358372104018554769<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaApril 13, 2012 13:00:00 UTC 2012 年 4 月 13 日 (金) 22 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiApril 14, 2012 08:13:03 UTC 2012 年 4 月 14 日 (土) 17 時 13 分 3 秒 (日本時間)
403e61000Dmitry DomanovApril 21, 2012 20:44:26 UTC 2012 年 4 月 22 日 (日) 5 時 44 分 26 秒 (日本時間)
4511e6700 / 4208400Dmitry DomanovMay 14, 2012 10:14:42 UTC 2012 年 5 月 14 日 (月) 19 時 14 分 42 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:49 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 49 秒 (日本時間)

46×10225+539

c178

composite cofactor 合成数の残り
1390099398402400394027161276620129349919295740832718591175096739515970327122327974435131298348277569945301199854076616092343073450405343767419941485270868806820296376748028728639<178>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaApril 13, 2012 13:00:00 UTC 2012 年 4 月 13 日 (金) 22 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiApril 13, 2012 22:07:21 UTC 2012 年 4 月 14 日 (土) 7 時 7 分 21 秒 (日本時間)
403e626001000Dmitry DomanovApril 19, 2012 21:59:28 UTC 2012 年 4 月 20 日 (金) 6 時 59 分 28 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:37 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 37 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:47 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 47 秒 (日本時間)

46×10226+539

c217

composite cofactor 合成数の残り
6413579213520981947176145905296798686470300006280353836436292732393858455364445424538061620084678477711728149902895334280654369396564793566428198889817549922966778220541463535923498844764522001009128977795203316344203<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaApril 13, 2012 13:00:00 UTC 2012 年 4 月 13 日 (金) 22 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiApril 13, 2012 22:06:34 UTC 2012 年 4 月 14 日 (土) 7 時 6 分 34 秒 (日本時間)
403e61000Dmitry DomanovApril 21, 2012 20:44:44 UTC 2012 年 4 月 22 日 (日) 5 時 44 分 44 秒 (日本時間)
4511e6900 / 4208600Dmitry DomanovMay 13, 2012 16:34:18 UTC 2012 年 5 月 14 日 (月) 1 時 34 分 18 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:49 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 49 秒 (日本時間)

46×10231+539

c212

name 名前Serge Batalov
date 日付May 18, 2014 22:22:30 UTC 2014 年 5 月 19 日 (月) 7 時 22 分 30 秒 (日本時間)
composite number 合成数
68021909409046312188482959747249111226022356575909270224590323342813978101498859439582975601782988757768973272478508685452181131789074588696891727411229483487128502295029420297239533943752333230008641918997762187<212>
prime factors 素因数
2179256872055297178128505358666014299<37>
composite cofactor 合成数の残り
31213350881804768705937232736019379598377776838780477971384719976216354980896967268768561619346101339344720160339481381120008241923634177360503957946129070741844242910232333713<176>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=4033356434
Step 1 took 66562ms
Step 2 took 30741ms
********** Factor found in step 2: 2179256872055297178128505358666014299
Found probable prime factor of 37 digits: 2179256872055297178128505358666014299
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaApril 13, 2012 13:00:00 UTC 2012 年 4 月 13 日 (金) 22 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiApril 13, 2012 22:11:42 UTC 2012 年 4 月 14 日 (土) 7 時 11 分 42 秒 (日本時間)
403e626001000Dmitry DomanovApril 21, 2012 20:44:56 UTC 2012 年 4 月 22 日 (日) 5 時 44 分 56 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:38 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 38 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:48 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 48 秒 (日本時間)

46×10232+539

c198

composite cofactor 合成数の残り
253141468169989927397662557353696614125854380102710141441531812215406627446115580688381484814416922055663384207499993687186651957372235522048127548458452849067586343466570512297558059200997438253543<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaApril 13, 2012 13:00:00 UTC 2012 年 4 月 13 日 (金) 22 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiApril 13, 2012 22:08:07 UTC 2012 年 4 月 14 日 (土) 7 時 8 分 7 秒 (日本時間)
403e626001000Dmitry DomanovApril 21, 2012 20:45:27 UTC 2012 年 4 月 22 日 (日) 5 時 45 分 27 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:39 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 39 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:48 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 48 秒 (日本時間)

46×10233+539

c202

composite cofactor 合成数の残り
1369617523244303119147254256614934761034038695379340158051679845858413861600307567821193061043433795947581476912554337887430190458652206702829444492476391844186244232117781639050636892424614842010114023<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaApril 13, 2012 13:00:00 UTC 2012 年 4 月 13 日 (金) 22 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiApril 13, 2012 22:10:11 UTC 2012 年 4 月 14 日 (土) 7 時 10 分 11 秒 (日本時間)
403e626001000Dmitry DomanovApril 21, 2012 20:45:44 UTC 2012 年 4 月 22 日 (日) 5 時 45 分 44 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:40 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 40 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:48 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 48 秒 (日本時間)

46×10234+539

c123

name 名前Warut Roonguthai
date 日付April 14, 2012 00:04:54 UTC 2012 年 4 月 14 日 (土) 9 時 4 分 54 秒 (日本時間)
composite number 合成数
282073192974924676897311052271795466910001075397736389612663930688607946645808704422103045411435615426393070231254425421533<123>
prime factors 素因数
7445241514712345687832663227269380219889<40>
37886372445746356060782235208189654599824440246416634597987812827439022837641530797<83>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3084700286
Step 1 took 4197ms
Step 2 took 3556ms
********** Factor found in step 2: 7445241514712345687832663227269380219889
Found probable prime factor of 40 digits: 7445241514712345687832663227269380219889
Probable prime cofactor 37886372445746356060782235208189654599824440246416634597987812827439022837641530797 has 83 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 KamadaApril 13, 2012 13:00:00 UTC 2012 年 4 月 13 日 (金) 22 時 0 分 0 秒 (日本時間)

46×10235+539

c209

composite cofactor 合成数の残り
94264851256115104915640831221008779117633450680691196401181107585442238995780933371493770294850916200439408301967098168178058193468070624411626802632534610960059563185104147610372703666018696718964014869610173<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaApril 13, 2012 13:00:00 UTC 2012 年 4 月 13 日 (金) 22 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiApril 13, 2012 22:08:55 UTC 2012 年 4 月 14 日 (土) 7 時 8 分 55 秒 (日本時間)
403e626001000Dmitry DomanovApril 21, 2012 20:46:12 UTC 2012 年 4 月 22 日 (日) 5 時 46 分 12 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:40 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 40 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:49 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 49 秒 (日本時間)

46×10236+539

c179

name 名前Warut Roonguthai
date 日付April 13, 2012 21:41:27 UTC 2012 年 4 月 14 日 (土) 6 時 41 分 27 秒 (日本時間)
composite number 合成数
22361679476712212417043742347709064702203786369392189846393024819168684160546795372718715351336901641668934792972502658909666933135851214546247101724380990687756462277021155275097<179>
prime factors 素因数
272104280446640125233846868839121<33>
82180550192033293954389668511923109253126618856617056418176572881469362100230317812786679050678358378144333895290444553391512153049320065384501257<146>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=939605542
Step 1 took 10515ms
Step 2 took 6006ms
********** Factor found in step 2: 272104280446640125233846868839121
Found probable prime factor of 33 digits: 272104280446640125233846868839121
Probable prime cofactor 82180550192033293954389668511923109253126618856617056418176572881469362100230317812786679050678358378144333895290444553391512153049320065384501257 has 146 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 KamadaApril 13, 2012 13:00:00 UTC 2012 年 4 月 13 日 (金) 22 時 0 分 0 秒 (日本時間)

46×10238+539

c220

name 名前Warut Roonguthai
date 日付April 13, 2012 21:44:06 UTC 2012 年 4 月 14 日 (土) 6 時 44 分 6 秒 (日本時間)
composite number 合成数
3643015222445946327209454825898488232319763628107560933450156647993854191080735654482431487450519649277130038222512333767047294530035919511495946757697691520298783567102961795398854887627156683911254718400401237714874873<220>
prime factors 素因数
9920406154835239689776902274766708430327<40>
367224402467667951411765508646238196127657707565345671087493771286746364761716101288448238930420115067543810617670182608697176477093050182683123366696129379280988797744960631667599<180>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3188066994
Step 1 took 10842ms
Step 2 took 6038ms
********** Factor found in step 2: 9920406154835239689776902274766708430327
Found probable prime factor of 40 digits: 9920406154835239689776902274766708430327
Probable prime cofactor 367224402467667951411765508646238196127657707565345671087493771286746364761716101288448238930420115067543810617670182608697176477093050182683123366696129379280988797744960631667599 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 KamadaApril 13, 2012 13:00:00 UTC 2012 年 4 月 13 日 (金) 22 時 0 分 0 秒 (日本時間)

46×10239+539

c212

name 名前Serge Batalov
date 日付May 26, 2014 23:23:27 UTC 2014 年 5 月 27 日 (火) 8 時 23 分 27 秒 (日本時間)
composite number 合成数
48275016212405301680736517403483501482125541315368444128509809908393062846493054844049853809695926536442890776507613776377722046817965748936083219395726179461310765509464976655558548307140070423207024841153934927<212>
prime factors 素因数
42087531419456725186204303136791260613543<41>
composite cofactor 合成数の残り
1147014675944813250471019604412729973885142625765525702765765036655795326023685179437429008102859376931502956882471208386552837935171349624749754223323592469859147640747289<172>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1517130100
Step 1 took 18902ms
Step 2 took 7608ms
********** Factor found in step 2: 42087531419456725186204303136791260613543
Found probable prime factor of 41 digits: 42087531419456725186204303136791260613543
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaApril 13, 2012 13:00:00 UTC 2012 年 4 月 13 日 (金) 22 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiApril 14, 2012 03:25:12 UTC 2012 年 4 月 14 日 (土) 12 時 25 分 12 秒 (日本時間)
403e626001000Dmitry DomanovApril 22, 2012 12:36:25 UTC 2012 年 4 月 22 日 (日) 21 時 36 分 25 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:41 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 41 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:49 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 49 秒 (日本時間)

46×10240+539

c212

name 名前Serge Batalov
date 日付January 9, 2014 08:51:56 UTC 2014 年 1 月 9 日 (木) 17 時 51 分 56 秒 (日本時間)
composite number 合成数
40467283876376889746362769429060076730771706393801750842547182343570529500863998409626790166305893137802925839544488890489497460740222466604320631187933456960380123047788182985717952393098257700536764425461443993<212>
prime factors 素因数
131374720231388425851644248937980743457<39>
composite cofactor 合成数の残り
308029458065466768101651144171733328981420485787485170640672178068606391822926402363608382750028721524241308991795359632023371794158544537833299126177401430183918005887657849<174>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3284860113
Step 1 took 18394ms
Step 2 took 7568ms
********** Factor found in step 2: 131374720231388425851644248937980743457
Found probable prime factor of 39 digits: 131374720231388425851644248937980743457
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaApril 13, 2012 13:00:00 UTC 2012 年 4 月 13 日 (金) 22 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiApril 14, 2012 03:25:41 UTC 2012 年 4 月 14 日 (土) 12 時 25 分 41 秒 (日本時間)
403e626001000Dmitry DomanovApril 20, 2012 23:26:15 UTC 2012 年 4 月 21 日 (土) 8 時 26 分 15 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:42 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 42 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:50 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 50 秒 (日本時間)

46×10242+539

c227

name 名前Dmitry Domanov
date 日付April 22, 2012 20:04:20 UTC 2012 年 4 月 23 日 (月) 5 時 4 分 20 秒 (日本時間)
composite number 合成数
30356008928696671333323641102986918005253258808105579966268592389528485609998693995612231505873809342004292524238391535730667317465256925671974790281216828861722340413459760657019715189585570649261662497489812826660849847249973<227>
prime factors 素因数
424267044953785538861763271955016067<36>
71549297287521550377041309749832330387725761109295014768781554729306580191770892309237327715597705171128912667294051920503902048705334868492248890999966727086559019081914244982097996086214119<191>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2491982089
Step 1 took 33013ms
Step 2 took 11397ms
********** Factor found in step 2: 424267044953785538861763271955016067
Found probable prime factor of 36 digits: 424267044953785538861763271955016067

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaApril 13, 2012 13:00:00 UTC 2012 年 4 月 13 日 (金) 22 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiApril 14, 2012 03:27:01 UTC 2012 年 4 月 14 日 (土) 12 時 27 分 1 秒 (日本時間)
403e61000 / 2045Dmitry DomanovApril 22, 2012 12:36:46 UTC 2012 年 4 月 22 日 (日) 21 時 36 分 46 秒 (日本時間)

46×10243+539

c186

composite cofactor 合成数の残り
738514471520049736953631348376067610942111478574673868386790611430790562361977998319925411764543360766021560111046892856959318903656134442942441060259960925529426752799701238331479077103<186>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61318118Makoto KamadaApril 13, 2012 13:00:00 UTC 2012 年 4 月 13 日 (金) 22 時 0 分 0 秒 (日本時間)
1200Warut RoonguthaiApril 14, 2012 01:15:13 UTC 2012 年 4 月 14 日 (土) 10 時 15 分 13 秒 (日本時間)
403e626001000Dmitry DomanovApril 20, 2012 23:26:03 UTC 2012 年 4 月 21 日 (土) 8 時 26 分 3 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:43 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 43 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:50 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 50 秒 (日本時間)

46×10244+539

c244

composite cofactor 合成数の残り
1548821548821548821548821548821548821548821548821548821548821548821548821548821548821548821548821548821548821548821548821548821548821548821548821548821548821548821548821548821548821548821548821548821548821548821548821548821548821548821548821549<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaApril 13, 2012 13:00:00 UTC 2012 年 4 月 13 日 (金) 22 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiApril 13, 2012 22:17:39 UTC 2012 年 4 月 14 日 (土) 7 時 17 分 39 秒 (日本時間)
403e620501000Dmitry DomanovApril 22, 2012 12:37:17 UTC 2012 年 4 月 22 日 (日) 21 時 37 分 17 秒 (日本時間)
1050Dmitry DomanovApril 22, 2012 12:38:29 UTC 2012 年 4 月 22 日 (日) 21 時 38 分 29 秒 (日本時間)
4511e60--
5043e61150600Domanov DmitryMay 6, 2012 23:33:21 UTC 2012 年 5 月 7 日 (月) 8 時 33 分 21 秒 (日本時間)
400Dmitry DomanovMay 7, 2012 20:31:11 UTC 2012 年 5 月 8 日 (火) 5 時 31 分 11 秒 (日本時間)
150Dmitry DomanovMay 11, 2012 20:42:53 UTC 2012 年 5 月 12 日 (土) 5 時 42 分 53 秒 (日本時間)
5511e72635 / 17342yoyo@homeMarch 10, 2013 16:15:25 UTC 2013 年 3 月 11 日 (月) 1 時 15 分 25 秒 (日本時間)

46×10245+539

c204

name 名前Warut Roonguthai
date 日付April 13, 2012 21:48:39 UTC 2012 年 4 月 14 日 (土) 6 時 48 分 39 秒 (日本時間)
composite number 合成数
258149201282621855853929908909920202796182785534989074853303811625054811525136148017941002053548650465567171858015919185168099293065343547022731531735934258942549728500280766398159279769165257237696478947<204>
prime factors 素因数
22581560003293891965149451304300771<35>
11431858615833739945889948477675386806821617949157882500664705772166990851354684512159531470170570996228960498053391241468789831335150116408895988078107512368400139885057<170>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3359629228
Step 1 took 7971ms
Step 2 took 4961ms
********** Factor found in step 2: 22581560003293891965149451304300771
Found probable prime factor of 35 digits: 22581560003293891965149451304300771
Probable prime cofactor 11431858615833739945889948477675386806821617949157882500664705772166990851354684512159531470170570996228960498053391241468789831335150116408895988078107512368400139885057 has 170 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 KamadaApril 13, 2012 13:00:00 UTC 2012 年 4 月 13 日 (金) 22 時 0 分 0 秒 (日本時間)

46×10246+539

c233

composite cofactor 合成数の残り
25266158816194353617875086115637945672117155260637692800173717847858702530344208867696878856775583783250146769490282655849564130974898627937707368867001581134351042089309738294817560543990757590352106382675312511461993559911222952377<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaApril 13, 2012 13:00:00 UTC 2012 年 4 月 13 日 (金) 22 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiApril 13, 2012 22:16:41 UTC 2012 年 4 月 14 日 (土) 7 時 16 分 41 秒 (日本時間)
403e613001000Dmitry DomanovApril 22, 2012 12:37:31 UTC 2012 年 4 月 22 日 (日) 21 時 37 分 31 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:43 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 43 秒 (日本時間)
4511e6516 / 4142216CypMarch 10, 2014 17:59:53 UTC 2014 年 3 月 11 日 (火) 2 時 59 分 53 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:50 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 50 秒 (日本時間)

46×10247+539

c248

name 名前Warut Roonguthai
date 日付April 13, 2012 21:46:28 UTC 2012 年 4 月 14 日 (土) 6 時 46 分 28 秒 (日本時間)
composite number 合成数
17037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037039<248>
prime factors 素因数
1125661608829708642980814918543609<34>
composite cofactor 合成数の残り
15135132000059548272283371736990232884215645954306585836256156532465374994759143834874491498993843564830592841620104078863467371257779902641251136050921226292789006625313760144773831404488751562746307021208813791271<215>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=557307046
Step 1 took 12901ms
Step 2 took 7114ms
********** Factor found in step 2: 1125661608829708642980814918543609
Found probable prime factor of 34 digits: 1125661608829708642980814918543609
Composite cofactor 15135132000059548272283371736990232884215645954306585836256156532465374994759143834874491498993843564830592841620104078863467371257779902641251136050921226292789006625313760144773831404488751562746307021208813791271 has 215 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
351e6118Makoto KamadaApril 13, 2012 13:00:00 UTC 2012 年 4 月 13 日 (金) 22 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovApril 20, 2012 23:25:33 UTC 2012 年 4 月 21 日 (土) 8 時 25 分 33 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:44 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 44 秒 (日本時間)
4511e6595 / 4188295CypMarch 6, 2014 15:46:10 UTC 2014 年 3 月 7 日 (金) 0 時 46 分 10 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:50 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 50 秒 (日本時間)

46×10248+539

c226

name 名前Warut Roonguthai
date 日付April 13, 2012 15:05:44 UTC 2012 年 4 月 14 日 (土) 0 時 5 分 44 秒 (日本時間)
composite number 合成数
2445757868961273547077995781129648948824552930795696291627495096768203441803111960161346578387725282086103181957466975779696247231763791701859663845770758649254207297706894148567022846507287453331538936918152979856350813688633<226>
prime factors 素因数
146177186911922909367199230128633<33>
composite cofactor 合成数の残り
16731460774620953228108271461950142542982784030223843676457629751373858844771586996609134520868806012114024680085776520061912363316742192934975308793787252315101913902670047711714975047037320001<194>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=967059136
Step 1 took 11560ms
Step 2 took 6521ms
********** Factor found in step 2: 146177186911922909367199230128633
Found probable prime factor of 33 digits: 146177186911922909367199230128633
Composite cofactor 16731460774620953228108271461950142542982784030223843676457629751373858844771586996609134520868806012114024680085776520061912363316742192934975308793787252315101913902670047711714975047037320001 has 194 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
351e6118Makoto KamadaApril 13, 2012 13:00:00 UTC 2012 年 4 月 13 日 (金) 22 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovApril 20, 2012 23:25:44 UTC 2012 年 4 月 21 日 (土) 8 時 25 分 44 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:44 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 44 秒 (日本時間)
4511e6595 / 4188295CypMarch 8, 2014 00:45:37 UTC 2014 年 3 月 8 日 (土) 9 時 45 分 37 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:50 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 50 秒 (日本時間)