Table of contents 目次

58×10106+239

c93

name 名前Jo Yeong Uk
date 日付July 13, 2009 12:53:00 UTC 2009 年 7 月 13 日 (月) 21 時 53 分 0 秒 (日本時間)
composite number 合成数
130941596273240143468946640593072846211856885990677267608981904319231734474929512919318485399<93>
prime factors 素因数
78129326361730982026375097231768957<35>
1675959621960563483941991874954435017512192924461523251107<58>
factorization results 素因数分解の結果
Number: 64447_106
N=130941596273240143468946640593072846211856885990677267608981904319231734474929512919318485399
  ( 93 digits)
SNFS difficulty: 107 digits.
Divisors found:
 r1=78129326361730982026375097231768957 (pp35)
 r2=1675959621960563483941991874954435017512192924461523251107 (pp58)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.43 hours.
Scaled time: 1.01 units (timescale=2.378).
Factorization parameters were as follows:
n: 130941596273240143468946640593072846211856885990677267608981904319231734474929512919318485399
m: 1000000000000000000000
deg: 5
c5: 580
c0: 23
skew: 0.52
type: snfs
lss: 1
rlim: 280000
alim: 280000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 280000/280000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [140000, 260001)
Primes: RFBsize:24432, AFBsize:24500, largePrimes:879266 encountered
Relations: rels:775786, finalFF:56964
Max relations in full relation-set: 28
Initial matrix: 48999 x 56964 with sparse part having weight 2637228.
Pruned matrix : 46847 x 47155 with weight 1733764.
Total sieving time: 0.41 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,107,5,0,0,0,0,0,0,0,0,280000,280000,25,25,44,44,2.2,2.2,20000
total time: 0.43 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673792)
Calibrating delay using timer specific routine.. 5344.71 BogoMIPS (lpj=2672356)
Calibrating delay using timer specific routine.. 5344.52 BogoMIPS (lpj=2672263)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672343)
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)

58×10111+239

c89

name 名前Robert Backstrom
date 日付July 13, 2009 13:36:06 UTC 2009 年 7 月 13 日 (月) 22 時 36 分 6 秒 (日本時間)
composite number 合成数
48179467176708612066383883797455042200586297273188553625101637577681136825893259793557559<89>
prime factors 素因数
50196008649124066760669118985278755117<38>
959826657005513846552635296036664574714149430138227<51>
factorization results 素因数分解の結果
Number: n
N=48179467176708612066383883797455042200586297273188553625101637577681136825893259793557559
  ( 89 digits)
SNFS difficulty: 112 digits.
Divisors found:
 r1=50196008649124066760669118985278755117 (pp38)
 r2=959826657005513846552635296036664574714149430138227 (pp51)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 0.65 hours.
Scaled time: 1.18 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_6_4_110_7
n: 48179467176708612066383883797455042200586297273188553625101637577681136825893259793557559
m: 10000000000000000000000
deg: 5
c5: 580
c0: 23
skew: 0.52
type: snfs
lss: 1
rlim: 500000
alim: 500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.3
alambda: 2.3
qintsize: 10000
Factor base limits: 500000/500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved rational special-q in [250000, 360001)
Primes: RFBsize:41538, AFBsize:41462, largePrimes:2818335 encountered
Relations: rels:2338662, finalFF:106501
Max relations in full relation-set: 48
Initial matrix: 83067 x 106501 with sparse part having weight 7902956.
Pruned matrix : 75721 x 76200 with weight 3818881.
Total sieving time: 0.57 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.02 hours.
Total square root time: 0.02 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,112,5,0,0,0,0,0,0,0,0,500000,500000,28,28,56,56,2.3,2.3,50000
total time: 0.65 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 KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)

58×10114+239

c115

name 名前Sinkiti Sibata
date 日付July 13, 2009 04:58:39 UTC 2009 年 7 月 13 日 (月) 13 時 58 分 39 秒 (日本時間)
composite number 合成数
2148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148149<115>
prime factors 素因数
4335063118793507391728654777432128393<37>
495528689959651579368664634248240159079415334936580114911985607106035232953293<78>
factorization results 素因数分解の結果
Number: 64447_114
N=2148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148149
  ( 115 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=4335063118793507391728654777432128393 (pp37)
 r2=495528689959651579368664634248240159079415334936580114911985607106035232953293 (pp78)
Version: Msieve-1.40
Total time: 1.16 hours.
Scaled time: 2.98 units (timescale=2.564).
Factorization parameters were as follows:
name: 64447_114
n: 2148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148149
m: 100000000000000000000000
deg: 5
c5: 29
c0: 115
skew: 1.32
type: snfs
lss: 1
rlim: 610000
alim: 610000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 610000/610000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [305000, 505001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 63265 x 63492
Total sieving time: 1.13 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,116.000,5,0,0,0,0,0,0,0,0,610000,610000,25,25,45,45,2.2,2.2,50000
total time: 1.16 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 KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)

58×10120+239

c111

name 名前Robert Backstrom
date 日付July 13, 2009 23:50:23 UTC 2009 年 7 月 14 日 (火) 8 時 50 分 23 秒 (日本時間)
composite number 合成数
194527893777466619665691553316121652261080764904403871430472308721459150022852335874986627652427044538276082817<111>
prime factors 素因数
3592422000876207144080797101689943790151669878642591<52>
54149510756258711112608068985210572030309207474345155051487<59>
factorization results 素因数分解の結果
Number: n
N=194527893777466619665691553316121652261080764904403871430472308721459150022852335874986627652427044538276082817
  ( 111 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=3592422000876207144080797101689943790151669878642591 (pp52)
 r2=54149510756258711112608068985210572030309207474345155051487 (pp59)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 1.72 hours.
Scaled time: 3.13 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_6_4_119_7
n: 194527893777466619665691553316121652261080764904403871430472308721459150022852335874986627652427044538276082817
m: 1000000000000000000000000
deg: 5
c5: 58
c0: 23
skew: 0.83
type: snfs
lss: 1
rlim: 560000
alim: 560000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.3
alambda: 2.3
qintsize: 10000
Factor base limits: 560000/560000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved rational special-q in [280000, 540001)
Primes: RFBsize:46072, AFBsize:45556, largePrimes:3217734 encountered
Relations: rels:2682895, finalFF:110424
Max relations in full relation-set: 48
Initial matrix: 91694 x 110424 with sparse part having weight 10891784.
Pruned matrix : 88456 x 88978 with weight 6502223.
Total sieving time: 1.60 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.04 hours.
Total square root time: 0.03 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,121,5,0,0,0,0,0,0,0,0,560000,560000,28,28,56,56,2.3,2.3,50000
total time: 1.72 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 KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)

58×10123+239

c111

name 名前JPascoa
date 日付July 14, 2009 06:33:35 UTC 2009 年 7 月 14 日 (火) 15 時 33 分 35 秒 (日本時間)
composite number 合成数
899301726527940702964232341357666906090579560911871755134417338433041568548838314131597612984873335457006432869<111>
prime factors 素因数
50773799828332712760339199634604292107704204758339<50>
17711924842507332373590758448378995774984298667244766404457271<62>
factorization results 素因数分解の結果
Number: 64447_123
N=899301726527940702964232341357666906090579560911871755134417338433041568548838314131597612984873335457006432869
  ( 111 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=50773799828332712760339199634604292107704204758339 (pp50)
 r2=17711924842507332373590758448378995774984298667244766404457271 (pp62)
Version: Msieve-1.40
Total time: 1.92 hours.
Scaled time: 2.28 units (timescale=1.188).
Factorization parameters were as follows:
n: 899301726527940702964232341357666906090579560911871755134417338433041568548838314131597612984873335457006432869
m: 5000000000000000000000000
deg: 5
c5: 464
c0: 575
skew: 1.04
type: snfs
lss: 1
rlim: 890000
alim: 890000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3Factor base limits: 890000/890000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [445000, 795001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 121689 x 121919
Total sieving time: 1.84 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,126.000,5,0,0,0,0,0,0,0,0,890000,890000,26,26,46,46,2.3,2.3,50000
total time: 1.92 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
Chris Monico ggnfs-0.77.1
execution environment 実行環境
Core 2 6600@2.4 GHz , Windows XP 32-bit 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 KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)

58×10125+239

c126

name 名前Sinkiti Sibata
date 日付July 13, 2009 08:19:44 UTC 2009 年 7 月 13 日 (月) 17 時 19 分 44 秒 (日本時間)
composite number 合成数
644444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444447<126>
prime factors 素因数
974736791340018918589686620786549510151975781<45>
661147142664528713748930535458851545304856790693588371526999971594298072964481587<81>
factorization results 素因数分解の結果
Number: 64447_125
N=644444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444447
  ( 126 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=974736791340018918589686620786549510151975781 (pp45)
 r2=661147142664528713748930535458851545304856790693588371526999971594298072964481587 (pp81)
Version: Msieve-1.40
Total time: 2.33 hours.
Scaled time: 5.98 units (timescale=2.564).
Factorization parameters were as follows:
name: 64447_125
n: 644444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444447
m: 10000000000000000000000000
deg: 5
c5: 58
c0: 23
skew: 0.83
type: snfs
lss: 1
rlim: 910000
alim: 910000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 910000/910000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [455000, 805001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 131857 x 132089
Total sieving time: 2.24 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,126.000,5,0,0,0,0,0,0,0,0,910000,910000,26,26,46,46,2.3,2.3,50000
total time: 2.33 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)

58×10128+239

c106

name 名前Jo Yeong Uk
date 日付July 13, 2009 16:29:53 UTC 2009 年 7 月 14 日 (火) 1 時 29 分 53 秒 (日本時間)
composite number 合成数
5537741975834955696163581925148970165169810424088982787295926273785929205033292036428911457802364358073303<106>
prime factors 素因数
760985107913167809574082276999951959<36>
7277070100650168876742315488211887360553220961176794222662356452710017<70>
factorization results 素因数分解の結果
Number: 64447_128
N=5537741975834955696163581925148970165169810424088982787295926273785929205033292036428911457802364358073303
  ( 106 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=760985107913167809574082276999951959
 r2=7277070100650168876742315488211887360553220961176794222662356452710017
Version: 
Total time: 1.72 hours.
Scaled time: 4.09 units (timescale=2.378).
Factorization parameters were as follows:
n: 5537741975834955696163581925148970165169810424088982787295926273785929205033292036428911457802364358073303
m: 100000000000000000000000000
deg: 5
c5: 29
c0: 1150
skew: 2.09
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, 1000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 2901625
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 158539 x 158787
Total sieving time: 1.53 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,1000000,1000000,26,26,47,47,2.3,2.3,50000
total time: 1.72 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673792)
Calibrating delay using timer specific routine.. 5344.71 BogoMIPS (lpj=2672356)
Calibrating delay using timer specific routine.. 5344.52 BogoMIPS (lpj=2672263)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672343)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)

58×10129+239

c112

name 名前Jo Yeong Uk
date 日付July 13, 2009 23:07:36 UTC 2009 年 7 月 14 日 (火) 8 時 7 分 36 秒 (日本時間)
composite number 合成数
7384338774541879783190749762116627536820641207265619697558830813010085523088627253291340919120199082377423340829<112>
prime factors 素因数
75763157022055757160940379455506947440975308080533513<53>
97466091234717045166053084915874283627086578275412208937333<59>
factorization results 素因数分解の結果
Number: 64447_129
N=7384338774541879783190749762116627536820641207265619697558830813010085523088627253291340919120199082377423340829
  ( 112 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=75763157022055757160940379455506947440975308080533513
 r2=97466091234717045166053084915874283627086578275412208937333
Version: 
Total time: 1.47 hours.
Scaled time: 3.50 units (timescale=2.386).
Factorization parameters were as follows:
n: 7384338774541879783190749762116627536820641207265619697558830813010085523088627253291340919120199082377423340829
m: 100000000000000000000000000
deg: 5
c5: 29
c0: 115
skew: 1.32
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, 900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 2805388
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 147296 x 147539
Total sieving time: 1.27 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,1000000,1000000,26,26,47,47,2.3,2.3,50000
total time: 1.47 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673792)
Calibrating delay using timer specific routine.. 5344.71 BogoMIPS (lpj=2672356)
Calibrating delay using timer specific routine.. 5344.52 BogoMIPS (lpj=2672263)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672343)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)

58×10132+239

c88

name 名前Sinkiti Sibata
date 日付July 13, 2009 09:34:13 UTC 2009 年 7 月 13 日 (月) 18 時 34 分 13 秒 (日本時間)
composite number 合成数
1883408519934428084391724377309822647511270420467472934806096807678123332226068194782037<88>
prime factors 素因数
4760339406616587863684474719485370271377<40>
395645847713421982074206853379199386478310056581<48>
factorization results 素因数分解の結果
Mon Jul 13 17:31:00 2009  Msieve v. 1.41
Mon Jul 13 17:31:00 2009  random seeds: 9c99e448 049c84d4
Mon Jul 13 17:31:00 2009  factoring 1883408519934428084391724377309822647511270420467472934806096807678123332226068194782037 (88 digits)
Mon Jul 13 17:31:01 2009  searching for 15-digit factors
Mon Jul 13 17:31:02 2009  commencing quadratic sieve (88-digit input)
Mon Jul 13 17:31:02 2009  using multiplier of 1
Mon Jul 13 17:31:02 2009  using 32kb Intel Core sieve core
Mon Jul 13 17:31:02 2009  sieve interval: 24 blocks of size 32768
Mon Jul 13 17:31:02 2009  processing polynomials in batches of 9
Mon Jul 13 17:31:02 2009  using a sieve bound of 1507487 (57333 primes)
Mon Jul 13 17:31:02 2009  using large prime bound of 120598960 (26 bits)
Mon Jul 13 17:31:02 2009  using double large prime bound of 351899202753840 (42-49 bits)
Mon Jul 13 17:31:02 2009  using trial factoring cutoff of 49 bits
Mon Jul 13 17:31:02 2009  polynomial 'A' values have 11 factors
Mon Jul 13 18:26:51 2009  57588 relations (15601 full + 41987 combined from 609488 partial), need 57429
Mon Jul 13 18:26:52 2009  begin with 625089 relations
Mon Jul 13 18:26:53 2009  reduce to 139946 relations in 10 passes
Mon Jul 13 18:26:53 2009  attempting to read 139946 relations
Mon Jul 13 18:26:54 2009  recovered 139946 relations
Mon Jul 13 18:26:54 2009  recovered 119557 polynomials
Mon Jul 13 18:26:55 2009  attempting to build 57588 cycles
Mon Jul 13 18:26:55 2009  found 57588 cycles in 6 passes
Mon Jul 13 18:26:55 2009  distribution of cycle lengths:
Mon Jul 13 18:26:55 2009     length 1 : 15601
Mon Jul 13 18:26:55 2009     length 2 : 10874
Mon Jul 13 18:26:55 2009     length 3 : 10150
Mon Jul 13 18:26:55 2009     length 4 : 7660
Mon Jul 13 18:26:55 2009     length 5 : 5469
Mon Jul 13 18:26:55 2009     length 6 : 3342
Mon Jul 13 18:26:55 2009     length 7 : 2101
Mon Jul 13 18:26:55 2009     length 9+: 2391
Mon Jul 13 18:26:55 2009  largest cycle: 17 relations
Mon Jul 13 18:26:55 2009  matrix is 57333 x 57588 (13.4 MB) with weight 3275321 (56.88/col)
Mon Jul 13 18:26:55 2009  sparse part has weight 3275321 (56.88/col)
Mon Jul 13 18:26:56 2009  filtering completed in 4 passes
Mon Jul 13 18:26:56 2009  matrix is 53263 x 53327 (12.5 MB) with weight 3057108 (57.33/col)
Mon Jul 13 18:26:56 2009  sparse part has weight 3057108 (57.33/col)
Mon Jul 13 18:26:56 2009  saving the first 48 matrix rows for later
Mon Jul 13 18:26:56 2009  matrix is 53215 x 53327 (8.0 MB) with weight 2418609 (45.35/col)
Mon Jul 13 18:26:56 2009  sparse part has weight 1776241 (33.31/col)
Mon Jul 13 18:26:56 2009  matrix includes 64 packed rows
Mon Jul 13 18:26:56 2009  using block size 21330 for processor cache size 1024 kB
Mon Jul 13 18:26:56 2009  commencing Lanczos iteration
Mon Jul 13 18:26:56 2009  memory use: 7.9 MB
Mon Jul 13 18:27:14 2009  lanczos halted after 843 iterations (dim = 53212)
Mon Jul 13 18:27:14 2009  recovered 14 nontrivial dependencies
Mon Jul 13 18:27:15 2009  prp40 factor: 4760339406616587863684474719485370271377
Mon Jul 13 18:27:15 2009  prp48 factor: 395645847713421982074206853379199386478310056581
Mon Jul 13 18:27:15 2009  elapsed time 00:56:15

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)

58×10135+239

c135

name 名前Dmitry Domanov
date 日付July 13, 2009 09:45:02 UTC 2009 年 7 月 13 日 (月) 18 時 45 分 2 秒 (日本時間)
composite number 合成数
102292768959435626102292768959435626102292768959435626102292768959435626102292768959435626102292768959435626102292768959435626102292769<135>
prime factors 素因数
23082255542566823599333086556290313<35>
186979259626794060686307795753842713194685315639<48>
23701359305376003078608706474526261487024092056393967<53>
factorization results 素因数分解の結果
N=102292768959435626102292768959435626102292768959435626102292768959435626102292768959435626102292768959435626102292768959435626102292769
  ( 135 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=23082255542566823599333086556290313 (pp35)
 r2=186979259626794060686307795753842713194685315639 (pp48)
 r3=23701359305376003078608706474526261487024092056393967 (pp53)
Version: Msieve v. 1.41
Total time: 3.57 hours.
Scaled time: 7.10 units (timescale=1.988).
Factorization parameters were as follows:
n: 102292768959435626102292768959435626102292768959435626102292768959435626102292768959435626102292768959435626102292768959435626102292769
m: 1000000000000000000000000000
deg: 5
c5: 58
c0: 23
skew: 0.83
type: snfs
lss: 1
rlim: 1330000
alim: 1330000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1330000/1330000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [665000, 1340001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 221572 x 221820
Total sieving time: 3.39 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,136.000,5,0,0,0,0,0,0,0,0,1330000,1330000,26,26,48,48,2.3,2.3,75000
total time: 3.57 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve 1.41

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)

58×10136+239

c129

name 名前Jo Yeong Uk
date 日付July 14, 2009 02:57:45 UTC 2009 年 7 月 14 日 (火) 11 時 57 分 45 秒 (日本時間)
composite number 合成数
103777261336678083054677475123544185985045862327150201617863921750804117975272515639465440328049771189487645987027446190059033747<129>
prime factors 素因数
6119790257462840180408171750175750836047<40>
16957650012616993070182468852439375057528923539892416047822926309148813178064338505119101<89>
factorization results 素因数分解の結果
Number: 64447_136
N=103777261336678083054677475123544185985045862327150201617863921750804117975272515639465440328049771189487645987027446190059033747
  ( 129 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=6119790257462840180408171750175750836047
 r2=16957650012616993070182468852439375057528923539892416047822926309148813178064338505119101
Version: 
Total time: 2.64 hours.
Scaled time: 6.30 units (timescale=2.389).
Factorization parameters were as follows:
n: 103777261336678083054677475123544185985045862327150201617863921750804117975272515639465440328049771189487645987027446190059033747
m: 1000000000000000000000000000
deg: 5
c5: 580
c0: 23
skew: 0.52
type: snfs
lss: 1
rlim: 1600000
alim: 1600000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1600000/1600000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [800000, 1450001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 3620190
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 246289 x 246537
Total sieving time: 2.28 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,137,5,0,0,0,0,0,0,0,0,1600000,1600000,26,26,48,48,2.3,2.3,50000
total time: 2.64 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673792)
Calibrating delay using timer specific routine.. 5344.71 BogoMIPS (lpj=2672356)
Calibrating delay using timer specific routine.. 5344.52 BogoMIPS (lpj=2672263)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672343)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)

58×10139+239

c140

name 名前Sinkiti Sibata
date 日付July 13, 2009 20:41:47 UTC 2009 年 7 月 14 日 (火) 5 時 41 分 47 秒 (日本時間)
composite number 合成数
64444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444447<140>
prime factors 素因数
1938058158904057175420875818268265892536340598520596225753765591909<67>
33252069422357691954035197580335551879441443411363876229822358630860524083<74>
factorization results 素因数分解の結果
Number: 64447_139
N=64444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444447
  ( 140 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=1938058158904057175420875818268265892536340598520596225753765591909 (pp67)
 r2=33252069422357691954035197580335551879441443411363876229822358630860524083 (pp74)
Version: Msieve-1.40
Total time: 6.74 hours.
Scaled time: 17.36 units (timescale=2.575).
Factorization parameters were as follows:
name: 64447_139
n: 64444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444447
m: 10000000000000000000000000000
deg: 5
c5: 29
c0: 115
skew: 1.32
type: snfs
lss: 1
rlim: 1600000
alim: 1600000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1600000/1600000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [800000, 1700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 240937 x 241174
Total sieving time: 6.55 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,141.000,5,0,0,0,0,0,0,0,0,1600000,1600000,26,26,48,48,2.3,2.3,100000
total time: 6.74 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)

58×10141+239

c106

name 名前Jo Yeong Uk
date 日付July 14, 2009 04:03:39 UTC 2009 年 7 月 14 日 (火) 13 時 3 分 39 秒 (日本時間)
composite number 合成数
2630961314830825037808404552418118055910889450264586094583925505760367689427304261765390068171674023128273<106>
prime factors 素因数
76186258682820596721818032631403693765457390966091<50>
34533278839482980957953122866654334570356354654042530003<56>
factorization results 素因数分解の結果
Number: 64447_141
N=2630961314830825037808404552418118055910889450264586094583925505760367689427304261765390068171674023128273
  ( 106 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=76186258682820596721818032631403693765457390966091
 r2=34533278839482980957953122866654334570356354654042530003
Version: 
Total time: 4.22 hours.
Scaled time: 10.08 units (timescale=2.387).
Factorization parameters were as follows:
n: 2630961314830825037808404552418118055910889450264586094583925505760367689427304261765390068171674023128273
m: 10000000000000000000000000000
deg: 5
c5: 580
c0: 23
skew: 0.52
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [1100000, 2050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4380215
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 298553 x 298801
Total sieving time: 3.66 hours.
Total relation processing time: 0.36 hours.
Matrix solve time: 0.17 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,142,5,0,0,0,0,0,0,0,0,2200000,2200000,26,26,48,48,2.3,2.3,50000
total time: 4.22 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673792)
Calibrating delay using timer specific routine.. 5344.71 BogoMIPS (lpj=2672356)
Calibrating delay using timer specific routine.. 5344.52 BogoMIPS (lpj=2672263)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672343)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)

58×10142+239

c108

name 名前JPascoa
date 日付July 14, 2009 13:19:58 UTC 2009 年 7 月 14 日 (火) 22 時 19 分 58 秒 (日本時間)
composite number 合成数
121906643776048900653845760483176682051303097738362726296929265059517001216762243933421499551133248620829729<108>
prime factors 素因数
5264538448831778063739858965185820207<37>
23156188327031872626489300434370560937362355885611469744116956097040047<71>
factorization results 素因数分解の結果
Number: 64447_142
N=121906643776048900653845760483176682051303097738362726296929265059517001216762243933421499551133248620829729
  ( 108 digits)
Divisors found:
 r1=5264538448831778063739858965185820207 (pp37)
 r2=23156188327031872626489300434370560937362355885611469744116956097040047 (pp71)
Version: Msieve-1.40
Total time: 10.92 hours.
Scaled time: 13.02 units (timescale=1.192).
Factorization parameters were as follows:
name: 64447_142
n: 121906643776048900653845760483176682051303097738362726296929265059517001216762243933421499551133248620829729
skew: 10330.88
# norm 2.86e+014
c5: 64620
c4: 1239404382
c3: -30319770518560
c2: -91176158701992677
c1: 1056015459864830190240
c0: 2423349024698880698893011
# alpha -5.08
Y1: 331395755999
Y0: -285187278252824020054
# Murphy_E 1.38e-009
# M 121691403354176194190776471266168161078137481667477963639797578008571176758933027729971584524949945150524271
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2450001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 324103 x 324347
Polynomial selection time: 1.12 hours.
Total sieving time: 9.47 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.20 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
gnfs,107,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 10.92 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
ggnfs
execution environment 実行環境
Core 2, Windows XP 32 bit, Cygwin

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)

58×10145+239

c107

name 名前Jo Yeong Uk
date 日付July 14, 2009 23:13:47 UTC 2009 年 7 月 15 日 (水) 8 時 13 分 47 秒 (日本時間)
composite number 合成数
14513120657817110724068948596869268773609716183566522071117683501229380132163791152524290662673843408391707<107>
prime factors 素因数
155862830136335532804447504661369172098147<42>
93114699926353630931013362844178771981034759538690356442350389481<65>
factorization results 素因数分解の結果
Number: 64447_145
N=14513120657817110724068948596869268773609716183566522071117683501229380132163791152524290662673843408391707
  ( 107 digits)
Divisors found:
 r1=155862830136335532804447504661369172098147
 r2=93114699926353630931013362844178771981034759538690356442350389481
Version: 
Total time: 6.15 hours.
Scaled time: 14.67 units (timescale=2.385).
Factorization parameters were as follows:
name: 64447_145
n: 14513120657817110724068948596869268773609716183566522071117683501229380132163791152524290662673843408391707
skew: 39366.66
# norm 1.35e+15
c5: 10260
c4: -1732448568
c3: -40955835229705
c2: 2591026688417304464
c1: 35043786271468244640188
c0: -384519196336207960118558544
# alpha -6.76
Y1: 94483556057
Y0: -269232718404910182205
# Murphy_E 1.52e-09
# M 1883062411933760718032814856662790779215812496228563671416845431180490880688470056173105140057998316018953
type: gnfs
rlim: 2000000
alim: 2000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1000000, 2000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 7242468
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 327166 x 327414
Polynomial selection time: 0.43 hours.
Total sieving time: 4.66 hours.
Total relation processing time: 0.66 hours.
Matrix solve time: 0.22 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2000000,2000000,27,27,50,50,2.6,2.6,50000
total time: 6.15 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673792)
Calibrating delay using timer specific routine.. 5344.71 BogoMIPS (lpj=2672356)
Calibrating delay using timer specific routine.. 5344.52 BogoMIPS (lpj=2672263)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672343)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)

58×10146+239

c130

name 名前JPascoa
date 日付July 14, 2009 14:03:39 UTC 2009 年 7 月 14 日 (火) 23 時 3 分 39 秒 (日本時間)
composite number 合成数
2861136403744450867384364181988944676233621211196267931286517974372854120293817015912673374579164624145954637643177163066757231973<130>
prime factors 素因数
7984979862480793926125756973956199182887<40>
358314792650653686950640911375423315769676174740273424441797231618837823936703464982949779<90>
factorization results 素因数分解の結果
Number: 64447_146
N=2861136403744450867384364181988944676233621211196267931286517974372854120293817015912673374579164624145954637643177163066757231973
  ( 130 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=7984979862480793926125756973956199182887 (pp40)
 r2=358314792650653686950640911375423315769676174740273424441797231618837823936703464982949779 (pp90)
Version: Msieve-1.40
Total time: 22.89 hours.
Scaled time: 20.49 units (timescale=0.895).
Factorization parameters were as follows:
n: 2861136403744450867384364181988944676233621211196267931286517974372854120293817015912673374579164624145954637643177163066757231973
m: 200000000000000000000000000000
deg: 5
c5: 145
c0: 184
skew: 1.05
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1050000, 2650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 344816 x 345049
Total sieving time: 21.95 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.69 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,148.000,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 22.89 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
ggnfs
execution environment 実行環境
dual xenon cpu 3.06, windows 2003, cygnus

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)

58×10147+239

c119

name 名前Jo Yeong Uk
date 日付July 14, 2009 23:15:32 UTC 2009 年 7 月 15 日 (水) 8 時 15 分 32 秒 (日本時間)
composite number 合成数
19587314737165695603470071257269254262295902571320784295305733164689395113045338701101302069147682911255882924201124557<119>
prime factors 素因数
117743176838317603744085092073414896474908231317839<51>
166356261680136035603069369279866858793166950948301687007455754691363<69>
factorization results 素因数分解の結果
Number: 64447_147
N=19587314737165695603470071257269254262295902571320784295305733164689395113045338701101302069147682911255882924201124557
  ( 119 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=117743176838317603744085092073414896474908231317839
 r2=166356261680136035603069369279866858793166950948301687007455754691363
Version: 
Total time: 8.55 hours.
Scaled time: 20.40 units (timescale=2.387).
Factorization parameters were as follows:
n: 19587314737165695603470071257269254262295902571320784295305733164689395113045338701101302069147682911255882924201124557
m: 200000000000000000000000000000
deg: 5
c5: 725
c0: 92
skew: 0.66
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1500000, 3225001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 6995787
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 442563 x 442811
Total sieving time: 7.39 hours.
Total relation processing time: 0.72 hours.
Matrix solve time: 0.38 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,149,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,49,49,2.3,2.3,75000
total time: 8.55 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673792)
Calibrating delay using timer specific routine.. 5344.71 BogoMIPS (lpj=2672356)
Calibrating delay using timer specific routine.. 5344.52 BogoMIPS (lpj=2672263)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672343)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)

58×10148+239

c114

name 名前Jo Yeong Uk
date 日付July 14, 2009 13:54:42 UTC 2009 年 7 月 14 日 (火) 22 時 54 分 42 秒 (日本時間)
composite number 合成数
533943160316523918951469911012731137258971520498099742586223078317083887622231588054788137903703903967979292302043<114>
prime factors 素因数
957229269729820319274362209397<30>
557800703761628951235813012289882908409521924268072584602236892834526943369023125519<84>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 533943160316523918951469911012731137258971520498099742586223078317083887622231588054788137903703903967979292302043 (114 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=6037326045
Step 1 took 3463ms
Step 2 took 3806ms
********** Factor found in step 2: 957229269729820319274362209397
Found probable prime factor of 30 digits: 957229269729820319274362209397
Probable prime cofactor 557800703761628951235813012289882908409521924268072584602236892834526943369023125519 has 84 digits
execution environment 実行環境
Core 2 Quad Q6600

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)

58×10149+239

c117

name 名前Jo Yeong Uk
date 日付July 14, 2009 14:03:20 UTC 2009 年 7 月 14 日 (火) 23 時 3 分 20 秒 (日本時間)
composite number 合成数
122899128267307932285652056221776691270027659426723777828073895284388924281020552605381106797530820720034481264684729<117>
prime factors 素因数
239805938435749179530628678236164969<36>
41430417338281880250147847818250316533<38>
12369996045565239429686508194506888049892077<44>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 122899128267307932285652056221776691270027659426723777828073895284388924281020552605381106797530820720034481264684729 (117 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=5739799736
Step 1 took 4602ms
Step 2 took 3994ms
********** Factor found in step 2: 239805938435749179530628678236164969
Found probable prime factor of 36 digits: 239805938435749179530628678236164969
Composite cofactor 512494098640664391257456959015229005123844681619807604130051122581206101738809041 has 81 digits

07/14/09 22:52:48 v1.10 @ 조영욱-PC, starting SIQS on c81: 512494098640664391257456959015229005123844681619807604130051122581206101738809041
07/14/09 22:52:48 v1.10 @ 조영욱-PC, random seeds: 703900670, 2446589440
07/14/09 22:52:48 v1.10 @ 조영욱-PC, ==== sieve params ====
07/14/09 22:52:48 v1.10 @ 조영욱-PC, n = 81 digits, 274 bits
07/14/09 22:52:48 v1.10 @ 조영욱-PC, factor base: 45938 primes (max prime = 1188269)
07/14/09 22:52:48 v1.10 @ 조영욱-PC, single large prime cutoff: 112885555 (95 * pmax)
07/14/09 22:52:48 v1.10 @ 조영욱-PC, using 14 large prime slices of factor base
07/14/09 22:52:48 v1.10 @ 조영욱-PC, buckets hold 1024 elements
07/14/09 22:52:48 v1.10 @ 조영욱-PC, sieve interval: 7 blocks of size 65536
07/14/09 22:52:48 v1.10 @ 조영욱-PC, polynomial A has ~ 11 factors
07/14/09 22:52:48 v1.10 @ 조영욱-PC, using multiplier of 41
07/14/09 22:52:48 v1.10 @ 조영욱-PC, using small prime variation correction of 21 bits
07/14/09 22:52:48 v1.10 @ 조영욱-PC, using SSE2 for trial division and x64 sieve scanning
07/14/09 22:52:48 v1.10 @ 조영욱-PC, trial factoring cutoff at 95 bits
07/14/09 22:52:48 v1.10 @ 조영욱-PC, ==== sieving started ====
07/14/09 23:01:04 v1.10 @ 조영욱-PC, sieve time = 249.9540, relation time = 70.0050, poly_time = 175.6000
07/14/09 23:01:04 v1.10 @ 조영욱-PC, 46066 relations found: 23464 full + 22602 from 247296 partial, using 129790 polys (164 A polys)
07/14/09 23:01:04 v1.10 @ 조영욱-PC, on average, sieving found 2.09 rels/poly and 545.80 rels/sec
07/14/09 23:01:04 v1.10 @ 조영욱-PC, trial division touched 3687831 sieve locations out of 119082844160
07/14/09 23:01:04 v1.10 @ 조영욱-PC, ==== post processing stage (msieve-1.38) ====
07/14/09 23:01:04 v1.10 @ 조영욱-PC, begin with 270760 relations
07/14/09 23:01:04 v1.10 @ 조영욱-PC, reduce to 65824 relations in 2 passes
07/14/09 23:01:05 v1.10 @ 조영욱-PC, recovered 65824 relations
07/14/09 23:01:05 v1.10 @ 조영욱-PC, recovered 51617 polynomials
07/14/09 23:01:05 v1.10 @ 조영욱-PC, attempting to build 46066 cycles
07/14/09 23:01:05 v1.10 @ 조영욱-PC, found 46066 cycles in 1 passes
07/14/09 23:01:05 v1.10 @ 조영욱-PC, distribution of cycle lengths:
07/14/09 23:01:05 v1.10 @ 조영욱-PC,    length 1 : 23464
07/14/09 23:01:05 v1.10 @ 조영욱-PC,    length 2 : 22602
07/14/09 23:01:05 v1.10 @ 조영욱-PC, largest cycle: 2 relations
07/14/09 23:01:05 v1.10 @ 조영욱-PC, matrix is 45938 x 46066 (7.0 MB) with weight 1467122 (31.85/col)
07/14/09 23:01:05 v1.10 @ 조영욱-PC, sparse part has weight 1467122 (31.85/col)
07/14/09 23:01:05 v1.10 @ 조영욱-PC, filtering completed in 3 passes
07/14/09 23:01:05 v1.10 @ 조영욱-PC, matrix is 33395 x 33459 (5.5 MB) with weight 1182778 (35.35/col)
07/14/09 23:01:05 v1.10 @ 조영욱-PC, sparse part has weight 1182778 (35.35/col)
07/14/09 23:01:05 v1.10 @ 조영욱-PC, saving the first 48 matrix rows for later
07/14/09 23:01:05 v1.10 @ 조영욱-PC, matrix is 33347 x 33459 (3.8 MB) with weight 882310 (26.37/col)
07/14/09 23:01:05 v1.10 @ 조영욱-PC, sparse part has weight 673096 (20.12/col)
07/14/09 23:01:05 v1.10 @ 조영욱-PC, matrix includes 64 packed rows
07/14/09 23:01:05 v1.10 @ 조영욱-PC, using block size 13383 for processor cache size 4096 kB
07/14/09 23:01:05 v1.10 @ 조영욱-PC, commencing Lanczos iteration
07/14/09 23:01:05 v1.10 @ 조영욱-PC, memory use: 3.7 MB
07/14/09 23:01:08 v1.10 @ 조영욱-PC, lanczos halted after 529 iterations (dim = 33343)
07/14/09 23:01:08 v1.10 @ 조영욱-PC, recovered 16 nontrivial dependencies
07/14/09 23:01:08 v1.10 @ 조영욱-PC, prp44 = 12369996045565239429686508194506888049892077
07/14/09 23:01:10 v1.10 @ 조영욱-PC, prp38 = 41430417338281880250147847818250316533
07/14/09 23:01:10 v1.10 @ 조영욱-PC, Lanczos elapsed time = 4.2900 seconds.
07/14/09 23:01:10 v1.10 @ 조영욱-PC, Sqrt elapsed time = 1.2940 seconds.
07/14/09 23:01:10 v1.10 @ 조영욱-PC, SIQS elapsed time = 501.6600 seconds.
07/14/09 23:01:10 v1.10 @ 조영욱-PC, 
07/14/09 23:01:10 v1.10 @ 조영욱-PC, 
software ソフトウェア
GMP-ECM 6.2.3 / YAFU 1.10
execution environment 実行環境
Core 2 Quad Q6600

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)

58×10150+239

c116

name 名前Jo Yeong Uk
date 日付July 14, 2009 14:40:41 UTC 2009 年 7 月 14 日 (火) 23 時 40 分 41 秒 (日本時間)
composite number 合成数
31867976986129581142577553204069184977118961756426749952446804034640512899999263466243557329301492399086906477077691<116>
prime factors 素因数
2399679341298100809951191715143165897321865029<46>
13280098068807257841052877871669566506875479890479596261399064850887679<71>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 31867976986129581142577553204069184977118961756426749952446804034640512899999263466243557329301492399086906477077691 (116 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4284733017
Step 1 took 3806ms
Step 2 took 3307ms
********** Factor found in step 2: 2399679341298100809951191715143165897321865029
Found probable prime factor of 46 digits: 2399679341298100809951191715143165897321865029
Probable prime cofactor 13280098068807257841052877871669566506875479890479596261399064850887679 has 71 digits
execution environment 実行環境
Core 2 Quad Q6600

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)

58×10153+239

c127

name 名前Jo Yeong Uk
date 日付July 16, 2009 12:14:26 UTC 2009 年 7 月 16 日 (木) 21 時 14 分 26 秒 (日本時間)
composite number 合成数
9994214904619554942976947840573200293185186344913231726692244414931835344290389939721451670688386247341373699755831583038892901<127>
prime factors 素因数
814705712881851172222015572110575961300237593<45>
12267269943728648564005575671767203078380537568076048469810797003362184815778995757<83>
factorization results 素因数分解の結果
Number: 64447_153
N=9994214904619554942976947840573200293185186344913231726692244414931835344290389939721451670688386247341373699755831583038892901
  ( 127 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=814705712881851172222015572110575961300237593
 r2=12267269943728648564005575671767203078380537568076048469810797003362184815778995757
Version: 
Total time: 12.80 hours.
Scaled time: 30.18 units (timescale=2.358).
Factorization parameters were as follows:
n: 9994214904619554942976947840573200293185186344913231726692244414931835344290389939721451670688386247341373699755831583038892901
m: 10000000000000000000000000000000
deg: 5
c5: 29
c0: 1150
skew: 2.09
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 2500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 8451961
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 479129 x 479377
Total sieving time: 11.73 hours.
Total relation processing time: 0.49 hours.
Matrix solve time: 0.46 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 12.80 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673794)
Calibrating delay using timer specific routine.. 5556.53 BogoMIPS (lpj=2778268)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672379)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)

58×10154+239

c141

name 名前Dmitry Domanov
date 日付July 13, 2009 14:10:16 UTC 2009 年 7 月 13 日 (月) 23 時 10 分 16 秒 (日本時間)
composite number 合成数
451383256090383890332880823304054936956210199597621515127139018576080529748946023299415520701134993942877093671512974234181514772719750717249<141>
prime factors 素因数
826950947036232072542160696882965155619752449697<48>
545840424644446244851714823114328414970104900490414450438285896386706980952189028867721389217<93>
factorization results 素因数分解の結果
N=451383256090383890332880823304054936956210199597621515127139018576080529748946023299415520701134993942877093671512974234181514772719750717249
  ( 141 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=826950947036232072542160696882965155619752449697 (pp48)
 r2=545840424644446244851714823114328414970104900490414450438285896386706980952189028867721389217 (pp93)
Version: Msieve v. 1.41
Total time: 19.28 hours.
Scaled time: 38.21 units (timescale=1.982).
Factorization parameters were as follows:
n: 451383256090383890332880823304054936956210199597621515127139018576080529748946023299415520701134993942877093671512974234181514772719750717249
m: 10000000000000000000000000000000
deg: 5
c5: 29
c0: 115
skew: 1.32
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, 2400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 531694 x 531942
Total sieving time: 18.65 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.41 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,156.000,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 19.28 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve 1.41

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)

58×10156+239

c148

name 名前JPascoa
date 日付July 15, 2009 09:27:36 UTC 2009 年 7 月 15 日 (水) 18 時 27 分 36 秒 (日本時間)
composite number 合成数
9159906686722926709303097964633626498847435078929596419140294453156929171877364472475281345479703778592573903540222016425335256213162613039271547631<148>
prime factors 素因数
120066543180694111133541404474922697213321<42>
76290250756513641445476454090142648409983943145226476005174220199825080683439408569647411791219214819389111<107>
factorization results 素因数分解の結果
Number: 64447_156
N=9159906686722926709303097964633626498847435078929596419140294453156929171877364472475281345479703778592573903540222016425335256213162613039271547631
  ( 148 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=120066543180694111133541404474922697213321 (pp42)
 r2=76290250756513641445476454090142648409983943145226476005174220199825080683439408569647411791219214819389111 (pp107)
Version: Msieve-1.40
Total time: 59.23 hours.
Scaled time: 52.66 units (timescale=0.889).
Factorization parameters were as follows:
n: 9159906686722926709303097964633626498847435078929596419140294453156929171877364472475281345479703778592573903540222016425335256213162613039271547631
m: 20000000000000000000000000000000
deg: 5
c5: 145
c0: 184
skew: 1.05
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1550000, 2750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 604903 x 605151
Total sieving time: 56.56 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 2.34 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,158.000,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 59.23 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
ggnfs
execution environment 実行環境
Dual Xeon 3.06, Windows 2005, Cygwin

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)
786JPascoaJuly 14, 2009 20:41:04 UTC 2009 年 7 月 15 日 (水) 5 時 41 分 4 秒 (日本時間)
403e640 / 2104JPascoaJuly 14, 2009 22:50:53 UTC 2009 年 7 月 15 日 (水) 7 時 50 分 53 秒 (日本時間)

58×10158+239

c142

name 名前Jo Yeong Uk
date 日付July 17, 2009 09:28:32 UTC 2009 年 7 月 17 日 (金) 18 時 28 分 32 秒 (日本時間)
composite number 合成数
1270444709336204120838955092427862236338311988888771908849602795998904887144640225487688999309661201835162015891793735455328916625770649642239<142>
prime factors 素因数
1278645878079139367561302863672131908561906870215169<52>
993586051553808199193408457585820294273094326234517367149202785954627596743988796894988031<90>
factorization results 素因数分解の結果
Number: 64447_158
N=1270444709336204120838955092427862236338311988888771908849602795998904887144640225487688999309661201835162015891793735455328916625770649642239
  ( 142 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=1278645878079139367561302863672131908561906870215169
 r2=993586051553808199193408457585820294273094326234517367149202785954627596743988796894988031
Version: 
Total time: 19.20 hours.
Scaled time: 45.85 units (timescale=2.388).
Factorization parameters were as follows:
n: 1270444709336204120838955092427862236338311988888771908849602795998904887144640225487688999309661201835162015891793735455328916625770649642239
m: 100000000000000000000000000000000
deg: 5
c5: 29
c0: 1150
skew: 2.09
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, 3400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9559208
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 662774 x 663022
Total sieving time: 17.47 hours.
Total relation processing time: 0.77 hours.
Matrix solve time: 0.88 hours.
Time per square root: 0.07 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: 19.20 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673794)
Calibrating delay using timer specific routine.. 5556.53 BogoMIPS (lpj=2778268)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672379)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)

58×10161+239

c162

name 名前Jo Yeong Uk
date 日付July 13, 2009 04:42:14 UTC 2009 年 7 月 13 日 (月) 13 時 42 分 14 秒 (日本時間)
composite number 合成数
644444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444447<162>
prime factors 素因数
41119327973436033475483754806134272837<38>
composite cofactor 合成数の残り
15672543210355221701053940350577676484197328922241828151784149179051334607839580596202241048609582134533477776622521732064531<125>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.3.1] [ECM]
Input number is 644444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444447 (162 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1512772174
Step 1 took 4876ms
Step 2 took 2675ms
********** Factor found in step 2: 41119327973436033475483754806134272837
Found probable prime factor of 38 digits: 41119327973436033475483754806134272837
Composite cofactor 15672543210355221701053940350577676484197328922241828151784149179051334607839580596202241048609582134533477776622521732064531 has 125 digits
execution environment 実行環境
Core 2 Quad Q6700

c125

name 名前Jo Yeong Uk
date 日付July 18, 2009 08:22:05 UTC 2009 年 7 月 18 日 (土) 17 時 22 分 5 秒 (日本時間)
composite number 合成数
15672543210355221701053940350577676484197328922241828151784149179051334607839580596202241048609582134533477776622521732064531<125>
prime factors 素因数
26871790039300526486196912904597959855554874021199<50>
583234060233196823479456446336892759281171709697223343472935319966425238269<75>
factorization results 素因数分解の結果
Number: 64447_161
N=15672543210355221701053940350577676484197328922241828151784149179051334607839580596202241048609582134533477776622521732064531
  ( 125 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=26871790039300526486196912904597959855554874021199
 r2=583234060233196823479456446336892759281171709697223343472935319966425238269
Version: 
Total time: 20.09 hours.
Scaled time: 47.97 units (timescale=2.388).
Factorization parameters were as follows:
n: 15672543210355221701053940350577676484197328922241828151784149179051334607839580596202241048609582134533477776622521732064531
m: 100000000000000000000000000000000
deg: 5
c5: 580
c0: 23
skew: 0.52
type: snfs
lss: 1
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2000000, 3700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9704756
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 695279 x 695527
Total sieving time: 18.21 hours.
Total relation processing time: 0.80 hours.
Matrix solve time: 1.01 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,51,51,2.4,2.4,100000
total time: 20.09 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673794)
Calibrating delay using timer specific routine.. 5556.53 BogoMIPS (lpj=2778268)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672379)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)

58×10162+239

c143

name 名前Jo Yeong Uk
date 日付July 18, 2009 14:36:58 UTC 2009 年 7 月 18 日 (土) 23 時 36 分 58 秒 (日本時間)
composite number 合成数
13535330531391096719446805778580505859562186778278308618604894946818978050168809172701900039808903911493436257192219298250447501692737439349731<143>
prime factors 素因数
149341881640836290021255337570732276202949<42>
90633185966835800545817749240634207154524406954605664798680122666388901649995696515931063037625341319<101>
factorization results 素因数分解の結果
Number: 64447_162
N=13535330531391096719446805778580505859562186778278308618604894946818978050168809172701900039808903911493436257192219298250447501692737439349731
  ( 143 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=149341881640836290021255337570732276202949
 r2=90633185966835800545817749240634207154524406954605664798680122666388901649995696515931063037625341319
Version: 
Total time: 26.23 hours.
Scaled time: 62.57 units (timescale=2.385).
Factorization parameters were as follows:
n: 13535330531391096719446805778580505859562186778278308618604894946818978050168809172701900039808903911493436257192219298250447501692737439349731
m: 200000000000000000000000000000000
deg: 5
c5: 725
c0: 92
skew: 0.66
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2200000, 4400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9867056
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 798231 x 798479
Total sieving time: 23.63 hours.
Total relation processing time: 1.06 hours.
Matrix solve time: 1.34 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,164,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,51,51,2.4,2.4,100000
total time: 26.23 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673794)
Calibrating delay using timer specific routine.. 5556.53 BogoMIPS (lpj=2778268)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672379)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)

58×10163+239

c120

name 名前JPascoa
date 日付July 19, 2009 16:42:25 UTC 2009 年 7 月 20 日 (月) 1 時 42 分 25 秒 (日本時間)
composite number 合成数
123358594328791495556126661691507931865080054364763831788218995633927970659697113723897937644655278724450733932067639379<120>
prime factors 素因数
1394721122046343598898954744537561461564601370683041<52>
88446781495499968050670791016168541995795404733544043226877321557619<68>
factorization results 素因数分解の結果
Number: 64447_163
N=123358594328791495556126661691507931865080054364763831788218995633927970659697113723897937644655278724450733932067639379
  ( 120 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=1394721122046343598898954744537561461564601370683041 (pp52)
 r2=88446781495499968050670791016168541995795404733544043226877321557619 (pp68)
Version: Msieve-1.40
Total time: 122.50 hours.
Scaled time: 109.52 units (timescale=0.894).
Factorization parameters were as follows:
n: 123358594328791495556126661691507931865080054364763831788218995633927970659697113723897937644655278724450733932067639379
m: 500000000000000000000000000000000
deg: 5
c5: 464
c0: 575
skew: 1.04
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor 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, 4550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 783565 x 783813
Total sieving time: 116.92 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 4.71 hours.
Time per square root: 0.65 hours.
Prototype def-par.txt line would be:
snfs,166.000,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 122.50 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
ggnfs
execution environment 実行環境
dual core xeon 3.06 4 threads windows 2003 cygwin

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)
786Jo Yeong UkJuly 18, 2009 00:34:50 UTC 2009 年 7 月 18 日 (土) 9 時 34 分 50 秒 (日本時間)

58×10164+239

c157

name 名前Robert Backstrom
date 日付July 18, 2009 01:05:19 UTC 2009 年 7 月 18 日 (土) 10 時 5 分 19 秒 (日本時間)
composite number 合成数
2704788216675194980499542551060655021724236388702534810044917685756135276824583595510670303940880582146643295076682884124461339036642305529913813504377723279<157>
prime factors 素因数
11500057744747399273355108662919213155050608195831<50>
235197794368519156880312362442167554274367596081043998198046134333506670922483690675068444570466640194016809<108>
factorization results 素因数分解の結果
Number: n
N=2704788216675194980499542551060655021724236388702534810044917685756135276824583595510670303940880582146643295076682884124461339036642305529913813504377723279
  ( 157 digits)
SNFS difficulty: 166 digits.
Divisors found:

Sat Jul 18 06:33:52 2009  prp50 factor: 11500057744747399273355108662919213155050608195831
Sat Jul 18 06:33:52 2009  prp108 factor: 235197794368519156880312362442167554274367596081043998198046134333506670922483690675068444570466640194016809
Sat Jul 18 06:33:52 2009  elapsed time 00:48:58 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 33.45 hours.
Scaled time: 88.29 units (timescale=2.639).
Factorization parameters were as follows:
name: KA_6_4_163_7
n: 2704788216675194980499542551060655021724236388702534810044917685756135276824583595510670303940880582146643295076682884124461339036642305529913813504377723279
m: 1000000000000000000000000000000000
deg: 5
c5: 29
c0: 115
skew: 1.32
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 20000
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2100000, 3879990)
Primes: RFBsize:296314, AFBsize:296441, largePrimes:15128491 encountered
Relations: rels:14197589, finalFF:565554
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1497712 hash collisions in 16067174 relations
Msieve: matrix is 728489 x 728737 (194.4 MB)

Total sieving time: 33.16 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4200000,4200000,28,28,56,56,2.4,2.4,100000
total time: 33.45 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 KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)

58×10166+239

c125

name 名前Jo Yeong Uk
date 日付July 16, 2009 15:01:55 UTC 2009 年 7 月 17 日 (金) 0 時 1 分 55 秒 (日本時間)
composite number 合成数
10624154941279472588706800909070323594739495600215523842393261989133431103918712360142396758107111721514498237754750891812537<125>
prime factors 素因数
34290262392024774518344843759406959751<38>
309830085865730714982413828543955085580794667849260732917353228988602413576841495364287<87>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 10624154941279472588706800909070323594739495600215523842393261989133431103918712360142396758107111721514498237754750891812537 (125 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=5400989727
Step 1 took 4399ms
Step 2 took 4274ms
********** Factor found in step 2: 34290262392024774518344843759406959751
Found probable prime factor of 38 digits: 34290262392024774518344843759406959751
Probable prime cofactor 309830085865730714982413828543955085580794667849260732917353228988602413576841495364287 has 87 digits
execution environment 実行環境
Core 2 Quad Q6600

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)

58×10167+239

c156

name 名前Jo Yeong Uk
date 日付July 17, 2009 14:07:16 UTC 2009 年 7 月 17 日 (金) 23 時 7 分 16 秒 (日本時間)
composite number 合成数
176664439192494500603903652629064270381455362741433055190135752367595572210582780887956047748456308226710844007728629140020317113769890466444789777509866507<156>
prime factors 素因数
2539015319297239760208862106037195769<37>
composite cofactor 合成数の残り
69579902826814172117370151834844693730354578571165992862664790776297462544881688493563687017875009631281121822059456803<119>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 176664439192494500603903652629064270381455362741433055190135752367595572210582780887956047748456308226710844007728629140020317113769890466444789777509866507 (156 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4052174073
Step 1 took 5585ms
Step 2 took 4930ms
********** Factor found in step 2: 2539015319297239760208862106037195769
Found probable prime factor of 37 digits: 2539015319297239760208862106037195769
Composite cofactor 69579902826814172117370151834844693730354578571165992862664790776297462544881688493563687017875009631281121822059456803 has 119 digits
execution environment 実行環境
Core 2 Quad Q6600

c119

name 名前Jo Yeong Uk
date 日付July 19, 2009 11:25:47 UTC 2009 年 7 月 19 日 (日) 20 時 25 分 47 秒 (日本時間)
composite number 合成数
69579902826814172117370151834844693730354578571165992862664790776297462544881688493563687017875009631281121822059456803<119>
prime factors 素因数
374955885683995304806408659651797737916881109<45>
185568237447150266710225357815093455211539272721334490104275510776087852567<75>
factorization results 素因数分解の結果
Number: 64447_167
N=69579902826814172117370151834844693730354578571165992862664790776297462544881688493563687017875009631281121822059456803
  ( 119 digits)
Divisors found:
 r1=374955885683995304806408659651797737916881109
 r2=185568237447150266710225357815093455211539272721334490104275510776087852567
Version: 
Total time: 26.73 hours.
Scaled time: 63.92 units (timescale=2.391).
Factorization parameters were as follows:
name: 64447_167
n: 69579902826814172117370151834844693730354578571165992862664790776297462544881688493563687017875009631281121822059456803
skew: 47349.17
# norm 2.24e+16
c5: 97680
c4: -13680015272
c3: -938576535914888
c2: 23575289591187172209
c1: 621356567553877682728762
c0: -9041730036885776114944853304
# alpha -5.82
Y1: 8824749378397
Y0: -58957282053378243449603
# Murphy_E 3.17e-10
# M 47344066638380041334839352664793755654023650330881408512311320265554362175946657539853017303858866715609793853414241683
type: gnfs
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [2000000, 4000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9815119
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 649556 x 649804
Polynomial selection time: 2.28 hours.
Total sieving time: 22.39 hours.
Total relation processing time: 0.92 hours.
Matrix solve time: 0.86 hours.
Time per square root: 0.28 hours.
Prototype def-par.txt line would be:
gnfs,118,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4000000,4000000,27,27,52,52,2.4,2.4,100000
total time: 26.73 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673794)
Calibrating delay using timer specific routine.. 5556.53 BogoMIPS (lpj=2778268)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672379)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)
786Jo Yeong UkJuly 18, 2009 00:33:54 UTC 2009 年 7 月 18 日 (土) 9 時 33 分 54 秒 (日本時間)

58×10169+239

c154

name 名前Andreas Tete
date 日付July 17, 2009 15:02:26 UTC 2009 年 7 月 18 日 (土) 0 時 2 分 26 秒 (日本時間)
composite number 合成数
5700265186649782812351841766674742339994186926813633360259608369216832090802353735283308724893207923925439765758169211594777186755916521952375878179985051<154>
prime factors 素因数
25375530110051932248409455637683310452044129<44>
224636299692188654900752577911302035085906908095641797207881999549460700135118306963468485330593067442061655419<111>
factorization results 素因数分解の結果
Syd`s Database Workers found this p44 factor
25375530110051932248409455637683310452044129
software ソフトウェア
Syd`s Database workers

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)

58×10170+239

c148

name 名前Serge Batalov
date 日付July 13, 2009 04:29:07 UTC 2009 年 7 月 13 日 (月) 13 時 29 分 7 秒 (日本時間)
composite number 合成数
4380662507993904381622377911634618609394027867817773900559729082815954536500160907554737494485877660342275380399656592558178554490036707857102289883<148>
prime factors 素因数
19446241608838036363980356232313<32>
225270393946095807438626231453873038111507697639127097761464724268163034474733434977524246262956615989308890849723891<117>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3684692784
Step 1 took 3013ms
Step 2 took 2936ms
********** Factor found in step 2: 19446241608838036363980356232313
Found probable prime factor of 32 digits: 19446241608838036363980356232313
Probable prime cofactor has 117 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)

58×10171+239

c127

name 名前Serge Batalov
date 日付July 13, 2009 04:23:42 UTC 2009 年 7 月 13 日 (月) 13 時 23 分 42 秒 (日本時間)
composite number 合成数
1243320978374387074443994081948153334414978536669254151644340024718416325738026355609573177821775507921799028806519574340989093<127>
prime factors 素因数
29987432328229516862586197167<29>
composite cofactor 合成数の残り
41461401722079143647924150625301340578093020537184821796736112311143710226687952818709906878188779<98>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3348063929
Step 1 took 2525ms
Step 2 took 2580ms
********** Factor found in step 2: 29987432328229516862586197167
Found probable prime factor of 29 digits: 29987432328229516862586197167
Composite cofactor has 98 digits
software ソフトウェア
GMP-ECM 6.2.3

c98

name 名前Jo Yeong Uk
date 日付July 13, 2009 23:06:22 UTC 2009 年 7 月 14 日 (火) 8 時 6 分 22 秒 (日本時間)
composite number 合成数
41461401722079143647924150625301340578093020537184821796736112311143710226687952818709906878188779<98>
prime factors 素因数
5256085350367721968365243508879<31>
14889514327152662463708208717849<32>
529786685826043275442599790114501549<36>
factorization results 素因数分解の結果
Number: 64447_171
N=41461401722079143647924150625301340578093020537184821796736112311143710226687952818709906878188779
  ( 98 digits)
Divisors found:
 r1=5256085350367721968365243508879
 r2=14889514327152662463708208717849
 r3=529786685826043275442599790114501549
Version: 
Total time: 2.08 hours.
Scaled time: 4.95 units (timescale=2.384).
Factorization parameters were as follows:
name: 64447_171
n: 41461401722079143647924150625301340578093020537184821796736112311143710226687952818709906878188779
skew: 7857.64
# norm 2.45e+13
c5: 11880
c4: 788898
c3: -613633019573
c2: -6822373166044091
c1: -68762375014291434697
c0: 108707619335330199856823
# alpha -5.99
Y1: 2407654091
Y0: -5111701737676163862
# Murphy_E 4.55e-09
# M 6269349845825020629740171875377268828302419233862240622567814041128462207806673633291997154454334
type: gnfs
rlim: 1000000
alim: 1000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [500000, 900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4333827
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 144083 x 144331
Polynomial selection time: 0.13 hours.
Total sieving time: 1.71 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,97,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1000000,1000000,26,26,49,49,2.5,2.5,50000
total time: 2.08 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673792)
Calibrating delay using timer specific routine.. 5344.71 BogoMIPS (lpj=2672356)
Calibrating delay using timer specific routine.. 5344.52 BogoMIPS (lpj=2672263)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672343)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)

58×10173+239

c155

name 名前Wataru Sakai
date 日付June 1, 2010 11:24:29 UTC 2010 年 6 月 1 日 (火) 20 時 24 分 29 秒 (日本時間)
composite number 合成数
22906334778776101466745931712782774344115754893195799170327118762216288912950864924400717551561065550070862796715415922269471342481222227700096728249157631<155>
prime factors 素因数
64817667474036623885110791368453242789269613<44>
353396468454398901270260455366720681669752503090160153611028365842847449762328056382391366185327241968495980187<111>
factorization results 素因数分解の結果
Number: 64447_173
N=22906334778776101466745931712782774344115754893195799170327118762216288912950864924400717551561065550070862796715415922269471342481222227700096728249157631
  ( 155 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=64817667474036623885110791368453242789269613
 r2=353396468454398901270260455366720681669752503090160153611028365842847449762328056382391366185327241968495980187
Version: 
Total time: 145.47 hours.
Scaled time: 292.97 units (timescale=2.014).
Factorization parameters were as follows:
n: 22906334778776101466745931712782774344115754893195799170327118762216288912950864924400717551561065550070862796715415922269471342481222227700096728249157631
m: 10000000000000000000000000000000000
deg: 5
c5: 58000
c0: 23
skew: 0.21
type: snfs
lss: 1
rlim: 5700000
alim: 5700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 5700000/5700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2850000, 7850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1038886 x 1039134
Total sieving time: 145.47 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,174,5,0,0,0,0,0,0,0,0,5700000,5700000,27,27,52,52,2.4,2.4,100000
total time: 145.47 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
351e61318118Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)
1200Andreas TeteJuly 19, 2009 22:03:32 UTC 2009 年 7 月 20 日 (月) 7 時 3 分 32 秒 (日本時間)
403e61991Wataru SakaiMay 24, 2010 00:57:06 UTC 2010 年 5 月 24 日 (月) 9 時 57 分 6 秒 (日本時間)

58×10174+239

c130

name 名前Warut Roonguthai
date 日付November 12, 2011 17:14:40 UTC 2011 年 11 月 13 日 (日) 2 時 14 分 40 秒 (日本時間)
composite number 合成数
1532180706518241401927716774157632699327869454163147171133536036563824372197597503212744377302363679700262646993297942946249284197<130>
prime factors 素因数
48954775376344162246427537050496650811070193069561318138829<59>
31297880436371463437685996006561448225358338539989758707175909032863993<71>
factorization results 素因数分解の結果
N = 1532180706518241401927716774157632699327869454163147171133536036563824372197597503212744377302363679700262646993297942946249284197 (130 digits)
SNFS difficulty: 177 digits.
Divisors found:
r1=48954775376344162246427537050496650811070193069561318138829 (pp59)
r2=31297880436371463437685996006561448225358338539989758707175909032863993 (pp71)
Version: Msieve v. 1.48
Total time: 35.22 hours.
Factorization parameters were as follows:
name: (58*10^174+23)/9
n: 1532180706518241401927716774157632699327869454163147171133536036563824372197597503212744377302363679700262646993297942946249284197
Y0: 100000000000000000000000000000000000
Y1: -1
c0: 115
c1: 0
c2: 0
c3: 0
c4: 0
c5: 29
skew: 1.32
type: snfs
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 20424983
Relations: 2560712 relations
Pruned matrix : 1444379 x 1444604
Polynomial selection time: 0.00 hours.
Total sieving time: 31.86 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 2.75 hours.
time per square root: 0.49 hours.
Prototype def-par.txt line would be: snfs,177,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,55,55,2.5,2.5,100000
total time: 35.22 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
351e6418118Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 7, 2010 16:16:59 UTC 2010 年 6 月 8 日 (火) 1 時 16 分 59 秒 (日本時間)
403e62126110Ignacio SantosJune 7, 2010 16:16:59 UTC 2010 年 6 月 8 日 (火) 1 時 16 分 59 秒 (日本時間)
2016Wataru SakaiJune 9, 2010 13:50:33 UTC 2010 年 6 月 9 日 (水) 22 時 50 分 33 秒 (日本時間)
4511e632 / 3991Ignacio SantosJune 7, 2010 16:16:59 UTC 2010 年 6 月 8 日 (火) 1 時 16 分 59 秒 (日本時間)

58×10175+239

c96

name 名前Jo Yeong Uk
date 日付July 13, 2009 14:38:55 UTC 2009 年 7 月 13 日 (月) 23 時 38 分 55 秒 (日本時間)
composite number 合成数
819478568221499914100326001606299190096919170281909322951110135326279607201011575509404424200563<96>
prime factors 素因数
14983018931158829173921366367260641067839096419<47>
54693821851703361473715645811927745590131721657777<50>
factorization results 素因数分解の結果
Number: 64447_175
N=819478568221499914100326001606299190096919170281909322951110135326279607201011575509404424200563
  ( 96 digits)
Divisors found:
 r1=14983018931158829173921366367260641067839096419
 r2=54693821851703361473715645811927745590131721657777
Version: 
Total time: 1.73 hours.
Scaled time: 4.14 units (timescale=2.389).
Factorization parameters were as follows:
name: 64447_175
n: 819478568221499914100326001606299190096919170281909322951110135326279607201011575509404424200563
skew: 1272.92
# norm 1.92e+13
c5: 558540
c4: 521847935
c3: -5408470572471
c2: 351181997744970
c1: 2401135397826069759
c0: 347351341918533091555
# alpha -5.04
Y1: 1132506419
Y0: -1079683784185786326
# Murphy_E 5.04e-09
# M 584362212936005472064082310212869558798949791281506276000328577915598457378327795135603722194649
type: gnfs
rlim: 800000
alim: 800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 40000
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [400000, 760001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 3757091
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 133248 x 133496
Polynomial selection time: 0.10 hours.
Total sieving time: 1.42 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,95,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,800000,800000,26,26,48,48,2.5,2.5,40000
total time: 1.73 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673792)
Calibrating delay using timer specific routine.. 5344.71 BogoMIPS (lpj=2672356)
Calibrating delay using timer specific routine.. 5344.52 BogoMIPS (lpj=2672263)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672343)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)

58×10176+239

c122

name 名前Andreas Tete
date 日付July 18, 2009 22:02:47 UTC 2009 年 7 月 19 日 (日) 7 時 2 分 47 秒 (日本時間)
composite number 合成数
21297331597231925575431021475147344519208861186265435531663300064057696819420851677903908845421164785867653061776497530049<122>
prime factors 素因数
45945311893089576120617083406295313405032488551893964974131<59>
463536555085071903813929644352373972274237777973789300237822779<63>
factorization results 素因数分解の結果
Sat Jul 18 19:00:08 2009  Msieve v. 1.42
Sat Jul 18 19:00:08 2009  random seeds: 9b67fae0 8958af49
Sat Jul 18 19:00:08 2009  factoring 21297331597231925575431021475147344519208861186265435531663300064057696819420851677903908845421164785867653061776497530049 (122 digits)
Sat Jul 18 19:00:09 2009  searching for 15-digit factors
Sat Jul 18 19:00:11 2009  commencing number field sieve (122-digit input)
Sat Jul 18 19:00:11 2009  R0: -267740348395822115091009
Sat Jul 18 19:00:11 2009  R1:  9996088625369
Sat Jul 18 19:00:11 2009  A0: -12649253990942022464562560360
Sat Jul 18 19:00:11 2009  A1: -29032392364374356043724
Sat Jul 18 19:00:11 2009  A2:  71278176830714457495
Sat Jul 18 19:00:11 2009  A3:  1599979649307247
Sat Jul 18 19:00:11 2009  A4: -14210029177
Sat Jul 18 19:00:11 2009  A5:  15480
Sat Jul 18 19:00:11 2009  skew 70537.14, size 1.157191e-011, alpha -5.675436, combined = 2.303915e-010
Sat Jul 18 19:00:12 2009  
Sat Jul 18 19:00:12 2009  commencing relation filtering
Sat Jul 18 19:00:12 2009  estimated available RAM is 3069.5 MB
Sat Jul 18 19:00:13 2009  commencing duplicate removal, pass 1
Sat Jul 18 19:01:46 2009  found 1157953 hash collisions in 8680732 relations
Sat Jul 18 19:02:09 2009  added 58990 free relations
Sat Jul 18 19:02:09 2009  commencing duplicate removal, pass 2
Sat Jul 18 19:02:23 2009  found 1051971 duplicates and 7687750 unique relations
Sat Jul 18 19:02:23 2009  memory use: 49.3 MB
Sat Jul 18 19:02:24 2009  reading ideals above 100000
Sat Jul 18 19:02:24 2009  commencing singleton removal, initial pass
Sat Jul 18 19:04:18 2009  memory use: 149.2 MB
Sat Jul 18 19:04:18 2009  reading all ideals from disk
Sat Jul 18 19:04:24 2009  memory use: 274.8 MB
Sat Jul 18 19:04:26 2009  keeping 8454285 ideals with weight <= 200, target excess is 42010
Sat Jul 18 19:04:28 2009  commencing in-memory singleton removal
Sat Jul 18 19:04:30 2009  begin with 7687750 relations and 8454285 unique ideals
Sat Jul 18 19:04:42 2009  reduce to 2823891 relations and 2738944 ideals in 17 passes
Sat Jul 18 19:04:42 2009  max relations containing the same ideal: 99
Sat Jul 18 19:04:44 2009  removing 194198 relations and 176090 ideals in 18108 cliques
Sat Jul 18 19:04:44 2009  commencing in-memory singleton removal
Sat Jul 18 19:04:45 2009  begin with 2629693 relations and 2738944 unique ideals
Sat Jul 18 19:04:50 2009  reduce to 2620563 relations and 2553639 ideals in 9 passes
Sat Jul 18 19:04:50 2009  max relations containing the same ideal: 92
Sat Jul 18 19:04:52 2009  removing 143450 relations and 125342 ideals in 18108 cliques
Sat Jul 18 19:04:52 2009  commencing in-memory singleton removal
Sat Jul 18 19:04:53 2009  begin with 2477113 relations and 2553639 unique ideals
Sat Jul 18 19:04:56 2009  reduce to 2471536 relations and 2422684 ideals in 7 passes
Sat Jul 18 19:04:56 2009  max relations containing the same ideal: 90
Sat Jul 18 19:04:59 2009  relations with 0 large ideals: 128
Sat Jul 18 19:04:59 2009  relations with 1 large ideals: 447
Sat Jul 18 19:04:59 2009  relations with 2 large ideals: 5310
Sat Jul 18 19:04:59 2009  relations with 3 large ideals: 38239
Sat Jul 18 19:04:59 2009  relations with 4 large ideals: 163031
Sat Jul 18 19:04:59 2009  relations with 5 large ideals: 422649
Sat Jul 18 19:04:59 2009  relations with 6 large ideals: 675623
Sat Jul 18 19:04:59 2009  relations with 7+ large ideals: 1166109
Sat Jul 18 19:04:59 2009  commencing 2-way merge
Sat Jul 18 19:05:02 2009  reduce to 1466516 relation sets and 1417664 unique ideals
Sat Jul 18 19:05:02 2009  commencing full merge
Sat Jul 18 19:05:39 2009  memory use: 153.5 MB
Sat Jul 18 19:05:40 2009  found 749622 cycles, need 743864
Sat Jul 18 19:05:40 2009  weight of 743864 cycles is about 52090418 (70.03/cycle)
Sat Jul 18 19:05:40 2009  distribution of cycle lengths:
Sat Jul 18 19:05:40 2009  1 relations: 94279
Sat Jul 18 19:05:40 2009  2 relations: 90634
Sat Jul 18 19:05:40 2009  3 relations: 87859
Sat Jul 18 19:05:40 2009  4 relations: 78025
Sat Jul 18 19:05:40 2009  5 relations: 69180
Sat Jul 18 19:05:40 2009  6 relations: 57697
Sat Jul 18 19:05:40 2009  7 relations: 49517
Sat Jul 18 19:05:40 2009  8 relations: 41441
Sat Jul 18 19:05:40 2009  9 relations: 34605
Sat Jul 18 19:05:40 2009  10+ relations: 140627
Sat Jul 18 19:05:40 2009  heaviest cycle: 24 relations
Sat Jul 18 19:05:40 2009  commencing cycle optimization
Sat Jul 18 19:05:42 2009  start with 4383951 relations
Sat Jul 18 19:05:54 2009  pruned 102411 relations
Sat Jul 18 19:05:54 2009  memory use: 115.6 MB
Sat Jul 18 19:05:54 2009  distribution of cycle lengths:
Sat Jul 18 19:05:54 2009  1 relations: 94279
Sat Jul 18 19:05:54 2009  2 relations: 92647
Sat Jul 18 19:05:54 2009  3 relations: 90891
Sat Jul 18 19:05:54 2009  4 relations: 79701
Sat Jul 18 19:05:54 2009  5 relations: 70495
Sat Jul 18 19:05:54 2009  6 relations: 58154
Sat Jul 18 19:05:54 2009  7 relations: 49857
Sat Jul 18 19:05:54 2009  8 relations: 41116
Sat Jul 18 19:05:54 2009  9 relations: 34380
Sat Jul 18 19:05:54 2009  10+ relations: 132344
Sat Jul 18 19:05:54 2009  heaviest cycle: 24 relations
Sat Jul 18 19:05:55 2009  RelProcTime: 343
Sat Jul 18 19:05:55 2009  
Sat Jul 18 19:05:55 2009  commencing linear algebra
Sat Jul 18 19:05:55 2009  read 743864 cycles
Sat Jul 18 19:05:57 2009  cycles contain 2425496 unique relations
Sat Jul 18 19:06:36 2009  read 2425496 relations
Sat Jul 18 19:06:41 2009  using 20 quadratic characters above 134216420
Sat Jul 18 19:06:56 2009  building initial matrix
Sat Jul 18 19:07:34 2009  memory use: 284.7 MB
Sat Jul 18 19:07:35 2009  read 743864 cycles
Sat Jul 18 19:07:36 2009  matrix is 743687 x 743864 (213.6 MB) with weight 71084008 (95.56/col)
Sat Jul 18 19:07:36 2009  sparse part has weight 50032887 (67.26/col)
Sat Jul 18 19:07:46 2009  filtering completed in 2 passes
Sat Jul 18 19:07:46 2009  matrix is 743088 x 743265 (213.5 MB) with weight 71058320 (95.60/col)
Sat Jul 18 19:07:46 2009  sparse part has weight 50025604 (67.31/col)
Sat Jul 18 19:07:49 2009  read 743265 cycles
Sat Jul 18 19:07:51 2009  matrix is 743088 x 743265 (213.5 MB) with weight 71058320 (95.60/col)
Sat Jul 18 19:07:51 2009  sparse part has weight 50025604 (67.31/col)
Sat Jul 18 19:07:51 2009  saving the first 48 matrix rows for later
Sat Jul 18 19:07:51 2009  matrix is 743040 x 743265 (203.9 MB) with weight 56099385 (75.48/col)
Sat Jul 18 19:07:51 2009  sparse part has weight 48981570 (65.90/col)
Sat Jul 18 19:07:51 2009  matrix includes 64 packed rows
Sat Jul 18 19:07:51 2009  using block size 65536 for processor cache size 3072 kB
Sat Jul 18 19:07:57 2009  commencing Lanczos iteration
Sat Jul 18 19:07:57 2009  memory use: 207.0 MB
Sat Jul 18 20:29:59 2009  lanczos halted after 11749 iterations (dim = 743039)
Sat Jul 18 20:30:01 2009  recovered 33 nontrivial dependencies
Sat Jul 18 20:30:02 2009  BLanczosTime: 5047
Sat Jul 18 20:30:02 2009  
Sat Jul 18 20:30:02 2009  commencing square root phase
Sat Jul 18 20:30:02 2009  reading relations for dependency 1
Sat Jul 18 20:30:02 2009  read 371133 cycles
Sat Jul 18 20:30:03 2009  cycles contain 1485520 unique relations
Sat Jul 18 20:30:39 2009  read 1485520 relations
Sat Jul 18 20:30:48 2009  multiplying 1210228 relations
Sat Jul 18 20:34:22 2009  multiply complete, coefficients have about 55.54 million bits
Sat Jul 18 20:34:24 2009  initial square root is modulo 94007273
Sat Jul 18 20:40:15 2009  reading relations for dependency 2
Sat Jul 18 20:40:15 2009  read 371938 cycles
Sat Jul 18 20:40:16 2009  cycles contain 1488775 unique relations
Sat Jul 18 20:40:51 2009  read 1488775 relations
Sat Jul 18 20:40:59 2009  multiplying 1213308 relations
Sat Jul 18 20:44:33 2009  multiply complete, coefficients have about 55.67 million bits
Sat Jul 18 20:44:36 2009  initial square root is modulo 98413577
Sat Jul 18 20:50:27 2009  reading relations for dependency 3
Sat Jul 18 20:50:28 2009  read 371787 cycles
Sat Jul 18 20:50:28 2009  cycles contain 1488232 unique relations
Sat Jul 18 20:51:02 2009  read 1488232 relations
Sat Jul 18 20:51:10 2009  multiplying 1212158 relations
Sat Jul 18 20:54:44 2009  multiply complete, coefficients have about 55.62 million bits
Sat Jul 18 20:54:47 2009  initial square root is modulo 96742643
Sat Jul 18 21:00:38 2009  reading relations for dependency 4
Sat Jul 18 21:00:38 2009  read 372619 cycles
Sat Jul 18 21:00:39 2009  cycles contain 1490002 unique relations
Sat Jul 18 21:01:12 2009  read 1490002 relations
Sat Jul 18 21:01:22 2009  multiplying 1214630 relations
Sat Jul 18 21:04:56 2009  multiply complete, coefficients have about 55.74 million bits
Sat Jul 18 21:04:58 2009  initial square root is modulo 100489853
Sat Jul 18 21:10:49 2009  reading relations for dependency 5
Sat Jul 18 21:10:49 2009  read 371616 cycles
Sat Jul 18 21:10:50 2009  cycles contain 1487843 unique relations
Sat Jul 18 21:11:23 2009  read 1487843 relations
Sat Jul 18 21:11:32 2009  multiplying 1212846 relations
Sat Jul 18 21:15:06 2009  multiply complete, coefficients have about 55.66 million bits
Sat Jul 18 21:15:09 2009  initial square root is modulo 97915031
Sat Jul 18 21:21:01 2009  reading relations for dependency 6
Sat Jul 18 21:21:01 2009  read 371752 cycles
Sat Jul 18 21:21:02 2009  cycles contain 1489453 unique relations
Sat Jul 18 21:21:37 2009  read 1489453 relations
Sat Jul 18 21:21:46 2009  multiplying 1214234 relations
Sat Jul 18 21:25:21 2009  multiply complete, coefficients have about 55.72 million bits
Sat Jul 18 21:25:23 2009  initial square root is modulo 99859171
Sat Jul 18 21:31:15 2009  sqrtTime: 3673
Sat Jul 18 21:31:15 2009  prp59 factor: 45945311893089576120617083406295313405032488551893964974131
Sat Jul 18 21:31:15 2009  prp63 factor: 463536555085071903813929644352373972274237777973789300237822779
Sat Jul 18 21:31:15 2009  elapsed time 02:31:07
software ソフトウェア
Msieve v.1.42 / GGNFS
execution environment 実行環境
Intel Core 2 T8100 @2.1GHz / Windows Vista 32bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)
403e62620Dmitry DomanovJuly 15, 2009 02:40:27 UTC 2009 年 7 月 15 日 (水) 11 時 40 分 27 秒 (日本時間)

58×10177+239

c148

name 名前Erik Branger
date 日付July 8, 2013 06:52:30 UTC 2013 年 7 月 8 日 (月) 15 時 52 分 30 秒 (日本時間)
composite number 合成数
4195176512523234325393154247886607436038481937759977763032149219841733047383000796284761252535637961273002724730072153085909862400802237143904738067<148>
prime factors 素因数
295682622016839769259505068588852387847924647206981945079224937<63>
14188106436246056715424661959856357148507973859633279801133559079312957220913681662491<86>
factorization results 素因数分解の結果
Number: 64447_177
N = 4195176512523234325393154247886607436038481937759977763032149219841733047383000796284761252535637961273002724730072153085909862400802237143904738067 (148 digits)
SNFS difficulty: 179 digits.
Divisors found:
r1=295682622016839769259505068588852387847924647206981945079224937 (pp63)
r2=14188106436246056715424661959856357148507973859633279801133559079312957220913681662491 (pp86)
Version: Msieve v. 1.51 (SVN 845)
Total time: 76.57 hours.
Factorization parameters were as follows:
n: 4195176512523234325393154247886607436038481937759977763032149219841733047383000796284761252535637961273002724730072153085909862400802237143904738067
m: 100000000000000000000000000000000000
deg: 5
c5: 5800
c0: 23
skew: 0.33
# Murphy_E = 9.164e-11
type: snfs
lss: 1
rlim: 6700000
alim: 6700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6700000/6700000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 18827628
Relations: 2632928 relations
Pruned matrix : 1532583 x 1532813
Polynomial selection time: 0.00 hours.
Total sieving time: 74.13 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.77 hours.
time per square root: 0.56 hours.
Prototype def-par.txt line would be: snfs,179,5,0,0,0,0,0,0,0,0,6700000,6700000,28,28,53,53,2.5,2.5,100000
total time: 76.57 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
351e6418118Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 16, 2010 11:56:27 UTC 2010 年 11 月 16 日 (火) 20 時 56 分 27 秒 (日本時間)
403e6110Ignacio SantosNovember 16, 2010 11:56:27 UTC 2010 年 11 月 16 日 (火) 20 時 56 分 27 秒 (日本時間)
4511e6632 / 443732Ignacio SantosNovember 16, 2010 11:56:27 UTC 2010 年 11 月 16 日 (火) 20 時 56 分 27 秒 (日本時間)
600Rich DickersonOctober 5, 2011 12:36:56 UTC 2011 年 10 月 5 日 (水) 21 時 36 分 56 秒 (日本時間)

58×10178+239

c169

name 名前Robert Backstrom
date 日付February 1, 2012 08:35:26 UTC 2012 年 2 月 1 日 (水) 17 時 35 分 26 秒 (日本時間)
composite number 合成数
7020290087303870359578867193130583286506615574908803436341285904157833900023029205882246601225573607920322543415801579949141526134291813703566629352376010019957303294571<169>
prime factors 素因数
1879648905210242779506742210680008175641391002894787905369910181<64>
3734894355985399192947926070678889627596132194943997013702162544043609024082392806121810470762077249450191<106>
factorization results 素因数分解の結果
Number: n
N=7020290087303870359578867193130583286506615574908803436341285904157833900023029205882246601225573607920322543415801579949141526134291813703566629352376010019957303294571
  ( 169 digits)
SNFS difficulty: 179 digits.
Divisors found:

Wed Feb  1 19:31:07 2012  prp64 factor: 1879648905210242779506742210680008175641391002894787905369910181
Wed Feb  1 19:31:07 2012  prp106 factor: 3734894355985399192947926070678889627596132194943997013702162544043609024082392806121810470762077249450191
Wed Feb  1 19:31:07 2012  elapsed time 02:44:25 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.659).
Factorization parameters were as follows:
name: KA_64447_178
n: 7020290087303870359578867193130583286506615574908803436341285904157833900023029205882246601225573607920322543415801579949141526134291813703566629352376010019957303294571
m: 100000000000000000000000000000000000
deg: 5
c5: 58000
c0: 23
skew: 0.21
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, 9000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9106761 hash collisions in 78120254 relations
Msieve: matrix is 1240244 x 1240477 (344.5 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,179,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
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.. 5595.06 BogoMIPS (lpj=2797533)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61318118Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)
1200Andreas TeteJuly 23, 2009 19:25:09 UTC 2009 年 7 月 24 日 (金) 4 時 25 分 9 秒 (日本時間)
403e61994Andreas TeteJuly 23, 2009 19:28:10 UTC 2009 年 7 月 24 日 (金) 4 時 28 分 10 秒 (日本時間)
4511e60--
5043e61145yoyo@homeFebruary 6, 2010 06:10:30 UTC 2010 年 2 月 6 日 (土) 15 時 10 分 30 秒 (日本時間)
5511e72635 / 17344yoyo@homeOctober 16, 2010 21:26:19 UTC 2010 年 10 月 17 日 (日) 6 時 26 分 19 秒 (日本時間)

58×10179+239

c180

name 名前Dmitry Domanov
date 日付July 13, 2009 16:00:07 UTC 2009 年 7 月 14 日 (火) 1 時 0 分 7 秒 (日本時間)
composite number 合成数
644444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444447<180>
prime factors 素因数
672685683356861337041796175253604246571<39>
958017184531880621373920860801042598243408868260257248390356768611005235992717460853265486439899270704857151033067923579387134911377797556957<141>
factorization results 素因数分解の結果
C180=P39*P141
C180=672685683356861337041796175253604246571<39>*958017184531880621373920860801042598243408868260257248390356768611005235992717460853265486439899270704857151033067923579387134911377797556957<141>
software ソフトウェア
ECMNET

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)

58×10180+239

c140

name 名前Cyp
date 日付January 20, 2014 23:55:04 UTC 2014 年 1 月 21 日 (火) 8 時 55 分 4 秒 (日本時間)
composite number 合成数
20451542787637746204570073781611592499747087105319588833773116852420493477170762705368321610496780533385194881236326320745007039209454358491<140>
prime factors 素因数
231628592348506254661758857460099502631830654243675396231<57>
88294551982021902487226807303049689337316928324044677832502609137476047298947016461<83>
factorization results 素因数分解の結果
01/20/14 00:27:59 v1.34.3, nfs: commencing nfs on c140: 20451542787637746204570073781611592499747087105319588833773116852420493477170762705368321610496780533385194881236326320745007039209454358491
01/20/14 00:27:59 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/20/14 00:27:59 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/20/14 00:32:11 v1.34.3, nfs: commencing lattice sieving with 8 threads
[246 lines snipped]
01/20/14 19:19:45 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/20/14 19:24:19 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/20/14 19:28:49 v1.34.3, nfs: commencing msieve filtering
01/20/14 19:32:57 v1.34.3, nfs: commencing msieve linear algebra
01/20/14 22:06:30 v1.34.3, 
01/20/14 22:06:30 v1.34.3, ****************************
01/20/14 22:06:30 v1.34.3, Starting factorization of 20451542787637746204570073781611592499747087105319588833773116852420493477170762705368321610496780533385194881236326320745007039209454358491
01/20/14 22:06:30 v1.34.3, using pretesting plan: none
01/20/14 22:06:30 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/20/14 22:06:30 v1.34.3, ****************************
01/20/14 22:06:30 v1.34.3, nfs: commencing nfs on c140: 20451542787637746204570073781611592499747087105319588833773116852420493477170762705368321610496780533385194881236326320745007039209454358491
01/20/14 22:06:30 v1.34.3, nfs: resuming with sieving at user specified special-q 11750021
01/20/14 22:06:30 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/20/14 22:38:33 v1.34.3, c140 cofactor = 20451542787637746204570073781611592499747087105319588833773116852420493477170762705368321610496780533385194881236326320745007039209454358491
01/20/14 22:38:33 v1.34.3, Total factoring time = 1922.9788 seconds
01/20/14 22:44:40 v1.34.3, 
01/20/14 22:44:40 v1.34.3, ****************************
01/20/14 22:44:40 v1.34.3, Starting factorization of 20451542787637746204570073781611592499747087105319588833773116852420493477170762705368321610496780533385194881236326320745007039209454358491
01/20/14 22:44:40 v1.34.3, using pretesting plan: none
01/20/14 22:44:40 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/20/14 22:44:40 v1.34.3, ****************************
01/20/14 22:44:40 v1.34.3, nfs: previous data file found - commencing search for last special-q
01/20/14 22:45:05 v1.34.3, nfs: parsing special-q from .dat file
01/20/14 22:45:05 v1.34.3, nfs: commencing nfs on c140: 20451542787637746204570073781611592499747087105319588833773116852420493477170762705368321610496780533385194881236326320745007039209454358491
01/20/14 22:45:05 v1.34.3, nfs: resuming with filtering
01/20/14 22:45:05 v1.34.3, nfs: commencing msieve filtering
01/20/14 22:53:06 v1.34.3, nfs: commencing msieve linear algebra
01/21/14 00:38:44 v1.34.3, nfs: commencing msieve sqrt
01/21/14 00:55:03 v1.34.3, prp57 = 231628592348506254661758857460099502631830654243675396231
01/21/14 00:55:03 v1.34.3, prp83 = 88294551982021902487226807303049689337316928324044677832502609137476047298947016461
01/21/14 00:55:03 v1.34.3, NFS elapsed time = 7822.8452 seconds.
01/21/14 00:55:03 v1.34.3, 
01/21/14 00:55:03 v1.34.3, 
01/21/14 00:55:03 v1.34.3, Total factoring time = 7822.8466 seconds
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
351e61084118Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)
966Andreas TeteJuly 23, 2009 20:33:08 UTC 2009 年 7 月 24 日 (金) 5 時 33 分 8 秒 (日本時間)
403e6400Rich DickersonMay 3, 2012 03:43:06 UTC 2012 年 5 月 3 日 (木) 12 時 43 分 6 秒 (日本時間)
4511e62200 / 4342500Rich DickersonMay 4, 2012 01:29:35 UTC 2012 年 5 月 4 日 (金) 10 時 29 分 35 秒 (日本時間)
850Serge BatalovNovember 8, 2013 01:44:54 UTC 2013 年 11 月 8 日 (金) 10 時 44 分 54 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:05:46 UTC 2013 年 11 月 9 日 (土) 2 時 5 分 46 秒 (日本時間)

58×10181+239

c175

name 名前Wataru Sakai
date 日付September 12, 2010 07:29:54 UTC 2010 年 9 月 12 日 (日) 16 時 29 分 54 秒 (日本時間)
composite number 合成数
7718556619798127007065926041881713306111581078054263129827067202797609477844568577465889535770472909177088348315783664454754572988620997750400057447353821283714938107223340681<175>
prime factors 素因数
1155939435489478342614814009196096022818687988029804073975439550171<67>
6677301926748205736940283621427288768295767598566518429009493289219659912219304187770146575202979645299112811<109>
factorization results 素因数分解の結果
Number: 64447_181
N=7718556619798127007065926041881713306111581078054263129827067202797609477844568577465889535770472909177088348315783664454754572988620997750400057447353821283714938107223340681
  ( 175 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=1155939435489478342614814009196096022818687988029804073975439550171
 r2=6677301926748205736940283621427288768295767598566518429009493289219659912219304187770146575202979645299112811
Version: 
Total time: 237.48 hours.
Scaled time: 477.33 units (timescale=2.010).
Factorization parameters were as follows:
n: 7718556619798127007065926041881713306111581078054263129827067202797609477844568577465889535770472909177088348315783664454754572988620997750400057447353821283714938107223340681
m: 1000000000000000000000000000000000000
deg: 5
c5: 580
c0: 23
skew: 0.52
type: snfs
lss: 1
rlim: 7800000
alim: 7800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 7800000/7800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3900000, 6400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1454849 x 1455097
Total sieving time: 237.48 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,182,5,0,0,0,0,0,0,0,0,7800000,7800000,28,28,53,53,2.5,2.5,100000
total time: 237.48 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 19, 2010 12:38:19 UTC 2010 年 6 月 19 日 (土) 21 時 38 分 19 秒 (日本時間)
403e62126110Ignacio SantosJune 19, 2010 12:38:19 UTC 2010 年 6 月 19 日 (土) 21 時 38 分 19 秒 (日本時間)
2016Wataru SakaiJuly 1, 2010 05:02:28 UTC 2010 年 7 月 1 日 (木) 14 時 2 分 28 秒 (日本時間)
4511e632 / 3991Ignacio SantosJune 19, 2010 12:38:19 UTC 2010 年 6 月 19 日 (土) 21 時 38 分 19 秒 (日本時間)

58×10182+239

c134

name 名前Robert Backstrom
date 日付April 27, 2012 19:11:34 UTC 2012 年 4 月 28 日 (土) 4 時 11 分 34 秒 (日本時間)
composite number 合成数
17613784895884676953595656164894104108317527541095795717450486184399906497702494115952649268873331309132264470169570263839041447272293<134>
prime factors 素因数
194470287802744540804367511370713884548843108117311385309<57>
90573141506072760956506831473261560165563943157710986753540587159303144961577<77>
factorization results 素因数分解の結果
Number: n
N=17613784895884676953595656164894104108317527541095795717450486184399906497702494115952649268873331309132264470169570263839041447272293
  ( 134 digits)
Divisors found:

Sat Apr 28 05:03:16 2012  prp57 factor: 194470287802744540804367511370713884548843108117311385309
Sat Apr 28 05:03:16 2012  prp77 factor: 90573141506072760956506831473261560165563943157710986753540587159303144961577
Sat Apr 28 05:03:16 2012  elapsed time 02:39:10 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.027).
Factorization parameters were as follows:
name: KA_64447_182
n: 17613784895884676953595656164894104108317527541095795717450486184399906497702494115952649268873331309132264470169570263839041447272293
skew: 264678.62
# norm 3.00e+18
c5: 133380
c4: 9468960699
c3: -57676858347324434
c2: -464028322964064489434
c1: 893813380720356429031135584
c0: 9659448179114268875851212466680
# alpha -6.77
Y1: 728080735220359
Y0: -42087418497804458902011067
# Murphy_E 5.65e-11
# M 2609449819918822671348383030655225382627621167376748832328462861923602300195335938993762946378366315497733563293588478209153638044689
type: gnfs
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
qintsize: 60000
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 19560000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2891021 hash collisions in 13045480 relations (10151192 unique)
Msieve: matrix is 1117841 x 1118066 (326.0 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:
gnfs,133,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5400000,5400000,27,27,51,51,2.5,2.5,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU1: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU2: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU3: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
Memory: 4012828k/4980736k available (3972k kernel code, 787908k absent, 180000k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.52 BogoMIPS (lpj=2400261)
Calibrating delay using timer specific routine.. 4799.90 BogoMIPS (lpj=2399952)
Calibrating delay using timer specific routine.. 4799.86 BogoMIPS (lpj=2399932)
Calibrating delay using timer specific routine.. 4799.90 BogoMIPS (lpj=2399953)
Total of 4 processors activated (19200.19 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 16, 2010 11:56:50 UTC 2010 年 11 月 16 日 (火) 20 時 56 分 50 秒 (日本時間)
403e6880110Ignacio SantosNovember 16, 2010 11:56:50 UTC 2010 年 11 月 16 日 (火) 20 時 56 分 50 秒 (日本時間)
770Ignacio SantosJuly 14, 2011 09:06:06 UTC 2011 年 7 月 14 日 (木) 18 時 6 分 6 秒 (日本時間)
4511e6252 / 405332Ignacio SantosNovember 16, 2010 11:56:50 UTC 2010 年 11 月 16 日 (火) 20 時 56 分 50 秒 (日本時間)
220Ignacio SantosJuly 14, 2011 09:06:06 UTC 2011 年 7 月 14 日 (木) 18 時 6 分 6 秒 (日本時間)
5043e661 / 7461Ignacio SantosJuly 14, 2011 09:06:06 UTC 2011 年 7 月 14 日 (木) 18 時 6 分 6 秒 (日本時間)

58×10183+239

c178

name 名前Ignacio Santos
date 日付July 10, 2010 10:53:29 UTC 2010 年 7 月 10 日 (土) 19 時 53 分 29 秒 (日本時間)
composite number 合成数
1669931526761098991151176799307312402699496138470491863647326815360249001762439974959088836988568714068939898386969950417141697404203730149084864566969623916736292734159598177621<178>
prime factors 素因数
1423285522531541346532457050112321985109569972530385180892522766751846286798887170597099<88>
1173293411845332486380233183241675068190372139264815542320169002008988507586784779730713279<91>
factorization results 素因数分解の結果
Number: 5
N=1669931526761098991151176799307312402699496138470491863647326815360249001762439974959088836988568714068939898386969950417141697404203730149084864566969623916736292734159598177621
  ( 178 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=1423285522531541346532457050112321985109569972530385180892522766751846286798887170597099 (pp88)
 r2=1173293411845332486380233183241675068190372139264815542320169002008988507586784779730713279 (pp91)
Version: Msieve-1.40
Total time: 236.05 hours.
Scaled time: 410.48 units (timescale=1.739).
Factorization parameters were as follows:
n: 1669931526761098991151176799307312402699496138470491863647326815360249001762439974959088836988568714068939898386969950417141697404203730149084864566969623916736292734159598177621
m: 1000000000000000000000000000000000000
deg: 5
c5: 58000
c0: 23
skew: 0.21
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 8100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1739716 x 1739941
Total sieving time: 230.87 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 4.47 hours.
Time per square root: 0.46 hours.
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: 236.05 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
351e6418118Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 19, 2010 16:11:32 UTC 2010 年 6 月 20 日 (日) 1 時 11 分 32 秒 (日本時間)
403e62126110Ignacio SantosJune 19, 2010 16:11:32 UTC 2010 年 6 月 20 日 (日) 1 時 11 分 32 秒 (日本時間)
2016Wataru SakaiJune 23, 2010 04:00:53 UTC 2010 年 6 月 23 日 (水) 13 時 0 分 53 秒 (日本時間)
4511e632 / 3991Ignacio SantosJune 19, 2010 16:11:32 UTC 2010 年 6 月 20 日 (日) 1 時 11 分 32 秒 (日本時間)

58×10184+239

c185

name 名前Dmitry Domanov
date 日付July 13, 2009 19:14:05 UTC 2009 年 7 月 14 日 (火) 4 時 14 分 5 秒 (日本時間)
composite number 合成数
64444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444447<185>
prime factors 素因数
176588117670435309434329024092440363<36>
composite cofactor 合成数の残り
364942133675814393150109614547698249357635271656814604537174727470973783441581875210983228248347867250016918641191589005044762359987857325025874363869<150>
factorization results 素因数分解の結果
C185=P36*C150
C185=176588117670435309434329024092440363<36>*364942133675814393150109614547698249357635271656814604537174727470973783441581875210983228248347867250016918641191589005044762359987857325025874363869<150>
software ソフトウェア
ECMNET

c150

name 名前Serge Batalov
date 日付January 9, 2014 05:02:18 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 18 秒 (日本時間)
composite number 合成数
364942133675814393150109614547698249357635271656814604537174727470973783441581875210983228248347867250016918641191589005044762359987857325025874363869<150>
prime factors 素因数
6460777205181724489503695636181453706364263<43>
56485794523779672878545748728908117158801017831287439214842335742232956117924403933229779715664027053403163<107>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=142168625
Step 1 took 9846ms
Step 2 took 4964ms
********** Factor found in step 2: 6460777205181724489503695636181453706364263
Found probable prime factor of 43 digits: 6460777205181724489503695636181453706364263
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)
403e61400 / 23181100Dmitry DomanovJuly 13, 2009 19:13:55 UTC 2009 年 7 月 14 日 (火) 4 時 13 分 55 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:56:00 UTC 2014 年 1 月 9 日 (木) 13 時 56 分 0 秒 (日本時間)

58×10187+239

c187

name 名前Dmitry Domanov
date 日付July 13, 2009 09:46:26 UTC 2009 年 7 月 13 日 (月) 18 時 46 分 26 秒 (日本時間)
composite number 合成数
3391812865497076023391812865497076023391812865497076023391812865497076023391812865497076023391812865497076023391812865497076023391812865497076023391812865497076023391812865497076023391813<187>
prime factors 素因数
191379776483330109719074784422593962641<39>
17722942976644742493298788382265098427947056575301551556533727688497872316694355856538018670950859864388326426079285337993714319660444511908472818293<149>
factorization results 素因数分解の結果
C187=P39*P149
C187=191379776483330109719074784422593962641<39>*17722942976644742493298788382265098427947056575301551556533727688497872316694355856538018670950859864388326426079285337993714319660444511908472818293<149>
software ソフトウェア
ECMNET

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)

58×10188+239

c179

name 名前Robert Backstrom
date 日付February 6, 2012 07:32:11 UTC 2012 年 2 月 6 日 (月) 16 時 32 分 11 秒 (日本時間)
composite number 合成数
15387649399651374291508670334822598388634181241919631097044276728180252166458172386325533855406414280888539630550090225756712154176940100822399947156927239850023383597728180666463<179>
prime factors 素因数
4225510255158679922267168868436266349800907032976526469820181398279<67>
3641607396613340916595768197129946213530148152110531376295580741540284845634344610869797393934839694639241054697<112>
factorization results 素因数分解の結果
Number: n
N=15387649399651374291508670334822598388634181241919631097044276728180252166458172386325533855406414280888539630550090225756712154176940100822399947156927239850023383597728180666463
  ( 179 digits)
SNFS difficulty: 189 digits.
Divisors found:

Mon Feb  6 18:28:58 2012  prp67 factor: 4225510255158679922267168868436266349800907032976526469820181398279
Mon Feb  6 18:28:58 2012  prp112 factor: 3641607396613340916595768197129946213530148152110531376295580741540284845634344610869797393934839694639241054697
Mon Feb  6 18:28:58 2012  elapsed time 03:45:13 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.660).
Factorization parameters were as follows:
name: KA_64447_188
n: 15387649399651374291508670334822598388634181241919631097044276728180252166458172386325533855406414280888539630550090225756712154176940100822399947156927239850023383597728180666463
m: 10000000000000000000000000000000000000
#  c179, diff: 189.76
skew: 0.21
deg: 5
c5: 58000
c0: 23
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, 17200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10619687 hash collisions in 79074930 relations (72555124 unique)
Msieve: matrix is 1395023 x 1395250 (390.9 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,189,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
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.. 5595.06 BogoMIPS (lpj=2797533)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 16, 2010 11:57:20 UTC 2010 年 11 月 16 日 (火) 20 時 57 分 20 秒 (日本時間)
403e6110 / 2126Ignacio SantosNovember 16, 2010 11:57:20 UTC 2010 年 11 月 16 日 (火) 20 時 57 分 20 秒 (日本時間)
4511e632 / 4437Ignacio SantosNovember 16, 2010 11:57:20 UTC 2010 年 11 月 16 日 (火) 20 時 57 分 20 秒 (日本時間)

58×10189+239

c186

name 名前Robert Backstrom
date 日付March 4, 2010 13:47:05 UTC 2010 年 3 月 4 日 (木) 22 時 47 分 5 秒 (日本時間)
composite number 合成数
571467983013606849733479156197964391632920496980087296660853457873942045264205413181204615096607647818076123476495915974500704482082508153271654202752899214724168169233346142098469845211<186>
prime factors 素因数
162292774210478820514930250814611453390259707158129<51>
3521216429959262195973433430051628582232354370580431935437012916604679657302826070845079773159399434800276934776651091896669930619816459<136>
factorization results 素因数分解の結果
Number: n
N=571467983013606849733479156197964391632920496980087296660853457873942045264205413181204615096607647818076123476495915974500704482082508153271654202752899214724168169233346142098469845211
  ( 186 digits)
SNFS difficulty: 190 digits.
Divisors found:

Fri Mar  5 00:41:29 2010  prp51 factor: 162292774210478820514930250814611453390259707158129
Fri Mar  5 00:41:29 2010  prp136 factor: 3521216429959262195973433430051628582232354370580431935437012916604679657302826070845079773159399434800276934776651091896669930619816459
Fri Mar  5 00:41:29 2010  elapsed time 05:53:41 (Msieve 1.42 - dependency 1)

Version: 
Total time: 8.19 hours.
Scaled time: 6.88 units (timescale=0.841).
Factorization parameters were as follows:
name: KA_6_4_188_7
n: 571467983013606849733479156197964391632920496980087296660853457873942045264205413181204615096607647818076123476495915974500704482082508153271654202752899214724168169233346142098469845211
m: 20000000000000000000000000000000000000
deg: 5
c5: 18125
c0: 23
skew: 0.26
type: snfs
lss: 1
rlim: 10600000
alim: 10600000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 10600000/10600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 8119367)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3453419 hash collisions in 28185437 relations
Msieve: matrix is 1521835 x 1522060 (408.7 MB)

Total sieving time: 8.19 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,190,5,0,0,0,0,0,0,0,0,10600000,10600000,28,28,56,56,2.5,2.5,100000
total time: 8.19 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
351e61318118Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)
1200Andreas TeteJuly 23, 2009 21:47:34 UTC 2009 年 7 月 24 日 (金) 6 時 47 分 34 秒 (日本時間)
403e62351Andreas TeteJuly 23, 2009 21:51:59 UTC 2009 年 7 月 24 日 (金) 6 時 51 分 59 秒 (日本時間)
4511e60--
5043e61125 / 7457yoyo@homeFebruary 6, 2010 07:25:12 UTC 2010 年 2 月 6 日 (土) 16 時 25 分 12 秒 (日本時間)

58×10190+239

c174

composite cofactor 合成数の残り
280083384625023838561426672273563841436832071239594215894875394641455475459533890540099101798741003737469986269256803929353256033193097927096473588501009235641404887863882523<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 16, 2010 11:57:42 UTC 2010 年 11 月 16 日 (火) 20 時 57 分 42 秒 (日本時間)
403e62710110Ignacio SantosNovember 16, 2010 11:57:42 UTC 2010 年 11 月 16 日 (火) 20 時 57 分 42 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:56:00 UTC 2014 年 1 月 9 日 (木) 13 時 56 分 0 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:14 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 14 秒 (日本時間)
1000Dmitry DomanovMay 28, 2014 15:31:10 UTC 2014 年 5 月 29 日 (木) 0 時 31 分 10 秒 (日本時間)
4511e61032 / 386232Ignacio SantosNovember 16, 2010 11:57:42 UTC 2010 年 11 月 16 日 (火) 20 時 57 分 42 秒 (日本時間)
1000Dmitry DomanovJuly 15, 2014 12:17:23 UTC 2014 年 7 月 15 日 (火) 21 時 17 分 23 秒 (日本時間)

58×10192+239

c167

name 名前Ignacio Santos
date 日付November 16, 2010 12:55:14 UTC 2010 年 11 月 16 日 (火) 21 時 55 分 14 秒 (日本時間)
composite number 合成数
26068559315633508853361374451904476519423749326786195584231114439148778595175929691479620031565074913591600093113915898143274449326354649645528281071407781709074786129<167>
prime factors 素因数
500435215852294301621144780059310029<36>
composite cofactor 合成数の残り
52091776297629224101602386250470471110056862131819692293639346735752271887668377241573538552936100340925600730382633750319315050901<131>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2874597552
Step 1 took 23525ms
Step 2 took 13291ms
********** Factor found in step 2: 500435215852294301621144780059310029
Found probable prime factor of 36 digits: 500435215852294301621144780059310029
Composite cofactor 52091776297629224101602386250470471110056862131819692293639346735752271887668377241573538552936100340925600730382633750319315050901 has 131 digits
software ソフトウェア
GMP-ECM 6.3

c131

name 名前Sinkiti Sibata
date 日付April 13, 2011 22:21:12 UTC 2011 年 4 月 14 日 (木) 7 時 21 分 12 秒 (日本時間)
composite number 合成数
52091776297629224101602386250470471110056862131819692293639346735752271887668377241573538552936100340925600730382633750319315050901<131>
prime factors 素因数
110853244723965251511769767940295089518217912075076943770031108131<66>
469916567867206104099875431145452355432619991802889210807387645671<66>
factorization results 素因数分解の結果
Number: 64447_192
N=52091776297629224101602386250470471110056862131819692293639346735752271887668377241573538552936100340925600730382633750319315050901
  ( 131 digits)
Divisors found:
 r1=110853244723965251511769767940295089518217912075076943770031108131 (pp66)
 r2=469916567867206104099875431145452355432619991802889210807387645671 (pp66)
Version: Msieve v. 1.42
Total time: 12.61 hours.
Scaled time: 10.77 units (timescale=0.854).
Factorization parameters were as follows:
name: 64447_192
# Murphy_E = 7.01e-11, selected by Markus Tervooren
n: 52091776297629224101602386250470471110056862131819692293639346735752271887668377241573538552936100340925600730382633750319315050901
Y0: -43460067400330487467063864
Y1: 112182423779561
c0: -128395364510288209254098106524910195
c1: 95264626419589577619398012996
c2: 64074069443661362109615
c3: -31908142859710308
c4: -6620067020
c5: 336
skew: 3586455.07
type: gnfs
# selected mechanically
rlim: 10200000
alim: 10200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 10200000/10200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved algebraic special-q in [5100000, 10600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1562715 x 1562941
Total sieving time: 0.00 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 10.58 hours.
Time per square root: 1.85 hours.
Prototype def-par.txt line would be:
gnfs,130,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,10200000,10200000,28,28,54,54,2.6,2.6,100000
total time: 12.61 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
Memory: 3886124k/4718592k available (3786k kernel code, 656964k absent, 175504k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5827.08 BogoMIPS (lpj=2913541)
Calibrating delay using timer specific routine.. 5826.53 BogoMIPS (lpj=2913268)
Total of 2 processors activated (11653.61 BogoMIPS).

Total time: 4 days.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 16, 2010 12:24:36 UTC 2010 年 11 月 16 日 (火) 21 時 24 分 36 秒 (日本時間)
403e6860110Ignacio SantosNovember 16, 2010 12:24:36 UTC 2010 年 11 月 16 日 (火) 21 時 24 分 36 秒 (日本時間)
750Ignacio SantosNovember 17, 2010 07:11:54 UTC 2010 年 11 月 17 日 (水) 16 時 11 分 54 秒 (日本時間)
4511e6246 / 406832Ignacio SantosNovember 16, 2010 12:24:36 UTC 2010 年 11 月 16 日 (火) 21 時 24 分 36 秒 (日本時間)
214Ignacio SantosNovember 17, 2010 07:11:54 UTC 2010 年 11 月 17 日 (水) 16 時 11 分 54 秒 (日本時間)
5043e658 / 7463Ignacio SantosNovember 17, 2010 07:11:54 UTC 2010 年 11 月 17 日 (水) 16 時 11 分 54 秒 (日本時間)

58×10193+239

c162

composite cofactor 合成数の残り
901376050066931503550412444351995115753179236384130815719607627387542024548506409014188379771311606869019706763896291050563612295274730258964961782343295686029977<162>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 17, 2010 23:36:57 UTC 2010 年 11 月 18 日 (木) 8 時 36 分 57 秒 (日本時間)
403e62710110Ignacio SantosNovember 17, 2010 23:36:57 UTC 2010 年 11 月 18 日 (木) 8 時 36 分 57 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:56:01 UTC 2014 年 1 月 9 日 (木) 13 時 56 分 1 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:15 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 15 秒 (日本時間)
1000Dmitry DomanovMay 28, 2014 15:31:26 UTC 2014 年 5 月 29 日 (木) 0 時 31 分 26 秒 (日本時間)
4511e61032 / 386232Ignacio SantosNovember 17, 2010 23:36:57 UTC 2010 年 11 月 18 日 (木) 8 時 36 分 57 秒 (日本時間)
1000Dmitry DomanovJuly 15, 2014 12:17:40 UTC 2014 年 7 月 15 日 (火) 21 時 17 分 40 秒 (日本時間)

58×10194+239

c181

name 名前Andreas Tete
date 日付July 23, 2009 14:18:58 UTC 2009 年 7 月 23 日 (木) 23 時 18 分 58 秒 (日本時間)
composite number 合成数
6215088909138839059215726890974759255794717687973196451723509231332365898719780611789108105580054459974366523952391208299406800377941615123480900407942106127407657057270361774072823<181>
prime factors 素因数
3543970882437511879731257595620290877<37>
composite cofactor 合成数の残り
1753707667277490662296596455138203925886352047609268924626142234554596780596769030414778657310009459856568838766914928341099729251362501565388099<145>
factorization results 素因数分解の結果
Syd`s Database workers hit this p37 factor
p37 = 3543970882437511879731257595620290877
software ソフトウェア
Syd`s Database workers http://factorization.ath.cx/search.php

c145

name 名前Andreas Tete
date 日付July 23, 2009 15:51:37 UTC 2009 年 7 月 24 日 (金) 0 時 51 分 37 秒 (日本時間)
composite number 合成数
1753707667277490662296596455138203925886352047609268924626142234554596780596769030414778657310009459856568838766914928341099729251362501565388099<145>
prime factors 素因数
277910928745730887156179766492458017<36>
6310322790083620064791690811822998614035354857083272254295215385444318070690134698155017866341817570459038947<109>
factorization results 素因数分解の結果
Syd`s Databaseworkers hit this p36 factor
p36 = 277910928745730887156179766492458017
software ソフトウェア
Syd`s Databaseworkers

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)

58×10195+239

c156

composite cofactor 合成数の残り
424572356311906673535762723119892896037401294163072058378214119984705970389476669464932539308200188916335350708629826906145994093655824664766037145379543053<156>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 18, 2010 00:19:01 UTC 2010 年 11 月 18 日 (木) 9 時 19 分 1 秒 (日本時間)
403e62710110Ignacio SantosNovember 18, 2010 00:19:01 UTC 2010 年 11 月 18 日 (木) 9 時 19 分 1 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:56:02 UTC 2014 年 1 月 9 日 (木) 13 時 56 分 2 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:15 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 15 秒 (日本時間)
1000Dmitry DomanovMay 28, 2014 15:31:42 UTC 2014 年 5 月 29 日 (木) 0 時 31 分 42 秒 (日本時間)
4511e61032 / 386232Ignacio SantosNovember 18, 2010 00:19:01 UTC 2010 年 11 月 18 日 (木) 9 時 19 分 1 秒 (日本時間)
1000Dmitry DomanovJuly 15, 2014 12:17:52 UTC 2014 年 7 月 15 日 (火) 21 時 17 分 52 秒 (日本時間)

58×10196+239

c172

name 名前Dmitry Domanov
date 日付July 16, 2014 05:41:14 UTC 2014 年 7 月 16 日 (水) 14 時 41 分 14 秒 (日本時間)
composite number 合成数
6315277654911078525833246743206941783684510818398462845267359953112432983148020629866461362013193760036617699382737425650731926113578347108768733769993447571797298447627983<172>
prime factors 素因数
5886327063176966010326707120821214367277577<43>
composite cofactor 合成数の残り
1072872367969067535873005229851454428924022947327908878246460885754132795209906173264458477382057469409930554995860430919671392279<130>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2320127345
Step 1 took 75018ms
Step 2 took 29238ms
********** Factor found in step 2: 5886327063176966010326707120821214367277577
Found probable prime factor of 43 digits: 5886327063176966010326707120821214367277577

c130

name 名前Erik Branger
date 日付August 13, 2014 09:59:20 UTC 2014 年 8 月 13 日 (水) 18 時 59 分 20 秒 (日本時間)
composite number 合成数
1072872367969067535873005229851454428924022947327908878246460885754132795209906173264458477382057469409930554995860430919671392279<130>
prime factors 素因数
861119274274057957127943162033177354045164774275728642526606457<63>
1245904487358643765870415337355731221394354252853504293603953458447<67>
factorization results 素因数分解の結果
Number: 64447_196
N = 1072872367969067535873005229851454428924022947327908878246460885754132795209906173264458477382057469409930554995860430919671392279 (130 digits)
Divisors found:
r1=861119274274057957127943162033177354045164774275728642526606457 (pp63)
r2=1245904487358643765870415337355731221394354252853504293603953458447 (pp67)
Version: Msieve v. 1.51 (SVN 845)
Total time: 94.30 hours.
Factorization parameters were as follows:
# Murphy_E = 8.741e-11, selected by Dmitry Domanov
n: 1072872367969067535873005229851454428924022947327908878246460885754132795209906173264458477382057469409930554995860430919671392279
Y0: -13937453660257477528027402
Y1: 23875783655477
c0: 15220839838636712171471965248195
c1: 3789031411969770361532525118
c2: -2426348563000145690057
c3: -28124592760255142
c4: 1948227718
c5: 2040
skew: 1025007.91
type: gnfs
# selected mechanically
rlim: 9200000
alim: 9200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9200000/9200000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 17812370
Relations: 2312846 relations
Pruned matrix : 1358816 x 1359047
Polynomial selection time: 0.00 hours.
Total sieving time: 91.36 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 1.83 hours.
time per square root: 1.00 hours.
Prototype def-par.txt line would be: gnfs,129,5,65,2000,1e-05,0.28,250,20,50000,3600,9200000,9200000,28,28,53,53,2.5,2.5,100000
total time: 94.30 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
351e6418118Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 18, 2010 06:42:35 UTC 2010 年 11 月 18 日 (木) 15 時 42 分 35 秒 (日本時間)
403e62710110Ignacio SantosNovember 18, 2010 06:42:35 UTC 2010 年 11 月 18 日 (木) 15 時 42 分 35 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:56:03 UTC 2014 年 1 月 9 日 (木) 13 時 56 分 3 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:16 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 16 秒 (日本時間)
1000Dmitry DomanovMay 28, 2014 15:32:00 UTC 2014 年 5 月 29 日 (木) 0 時 32 分 0 秒 (日本時間)
4511e61032 / 386232Ignacio SantosNovember 18, 2010 06:42:35 UTC 2010 年 11 月 18 日 (木) 15 時 42 分 35 秒 (日本時間)
1000Dmitry DomanovJuly 15, 2014 12:18:07 UTC 2014 年 7 月 15 日 (火) 21 時 18 分 7 秒 (日本時間)

58×10198+239

c194

name 名前matsui
date 日付September 26, 2009 03:35:04 UTC 2009 年 9 月 26 日 (土) 12 時 35 分 4 秒 (日本時間)
composite number 合成数
26566593058882105246764715716842258105444640029534722766150312867437739127965324183432248088006877999334002994696300327089725919788126839908336093052698501689955949840440125998938252367060539311<194>
prime factors 素因数
120122654799524499176412214703101874912457837887590623290818089496051374264866997231397<87>
221162220425611739516129953287180898210393040202298784816406964454293545788847480164075208005108893026032963<108>
factorization results 素因数分解の結果
N=26566593058882105246764715716842258105444640029534722766150312867437739127965324183432248088006877999334002994696300327089725919788126839908336093052698501689955949840440125998938252367060539311
  ( 194 digits)
SNFS difficulty: 201 digits.
Divisors found:
 r1=120122654799524499176412214703101874912457837887590623290818089496051374264866997231397 (pp87)
 r2=221162220425611739516129953287180898210393040202298784816406964454293545788847480164075208005108893026032963 (pp108)
Version: Msieve v. 1.42
Total time: 1399.41 hours.
Scaled time: 3504.12 units (timescale=2.504).
Factorization parameters were as follows:
n: 26566593058882105246764715716842258105444640029534722766150312867437739127965324183432248088006877999334002994696300327089725919788126839908336093052698501689955949840440125998938252367060539311
m: 5000000000000000000000000000000000000000
deg: 5
c5: 464
c0: 575
skew: 1.04
type: snfs
lss: 1
rlim: 15800000
alim: 15800000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6

Factor base limits: 15800000/15800000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [7900000, 18900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3625589 x 3625822
Total sieving time: 1382.77 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 14.66 hours.
Time per square root: 1.72 hours.
Prototype def-par.txt line would be:
snfs,201.000,5,0,0,0,0,0,0,0,0,15800000,15800000,29,29,56,56,2.6,2.6,100000
total time: 1399.41 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)
403e62550Dmitry DomanovJuly 14, 2009 09:03:35 UTC 2009 年 7 月 14 日 (火) 18 時 3 分 35 秒 (日本時間)

58×10199+239

c157

composite cofactor 合成数の残り
1044259259912669007282999196915720751967084723445974348979875452964818486989669113662293783045869418215415948373446694922575224025715685181232002723726455601<157>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 18, 2010 06:43:07 UTC 2010 年 11 月 18 日 (木) 15 時 43 分 7 秒 (日本時間)
403e62710110Ignacio SantosNovember 18, 2010 06:43:07 UTC 2010 年 11 月 18 日 (木) 15 時 43 分 7 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:56:04 UTC 2014 年 1 月 9 日 (木) 13 時 56 分 4 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:16 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 16 秒 (日本時間)
1000Dmitry DomanovMay 28, 2014 15:32:17 UTC 2014 年 5 月 29 日 (木) 0 時 32 分 17 秒 (日本時間)
4511e632 / 3862Ignacio SantosNovember 18, 2010 06:43:07 UTC 2010 年 11 月 18 日 (木) 15 時 43 分 7 秒 (日本時間)

58×10201+239

c181

name 名前Andreas Tete
date 日付July 17, 2009 10:17:17 UTC 2009 年 7 月 17 日 (金) 19 時 17 分 17 秒 (日本時間)
composite number 合成数
2709997759023226691278227859000958462523508169331583784235710902952889397811524446709488309323618879534770369760825638774593891617447986340548077741808940844272885733612770539478651<181>
prime factors 素因数
30297092310814121029529794339259<32>
89447453611115384235878445655526795835222280743403456616133385462314670368342358184437926433531052514215730265019173286277064719302589369837790759489<149>
factorization results 素因数分解の結果
Syd`s Databaseworkers found this p32 factor
30297092310814121029529794339259
software ソフトウェア
Syd`s Databaseworkers with ecm B1 = 1e6

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)

58×10202+239

c178

name 名前Andreas Tete
date 日付July 26, 2009 15:58:57 UTC 2009 年 7 月 27 日 (月) 0 時 58 分 57 秒 (日本時間)
composite number 合成数
1831592110910102741179812281981872696785324019245887398773946375054619829959635324440569739098613415554259753954823874823363683484476894771087621175728677385319651890768211047877<178>
prime factors 素因数
900888654245586171146217023177567172781<39>
composite cofactor 合成数の残り
2033094880569783215278126749021287699566111873184365711870097919375967568012016979486944089877439038338587424781953667086152516217685482617<139>
factorization results 素因数分解の結果
Syd`s Databaseworkers hit this p39 factor
p39 = 900888654245586171146217023177567172781
software ソフトウェア
Sys`s Databaseworkers with ECM B1=3e6

c139

name 名前Wataru Sakai
date 日付June 7, 2010 00:32:15 UTC 2010 年 6 月 7 日 (月) 9 時 32 分 15 秒 (日本時間)
composite number 合成数
2033094880569783215278126749021287699566111873184365711870097919375967568012016979486944089877439038338587424781953667086152516217685482617<139>
prime factors 素因数
1950658192164034840937176083682793935993601<43>
1042260960293763298353046820431621943621881006400454115672730816782770253428395787423306702551417<97>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3870121243
Step 1 took 49638ms
Step 2 took 18501ms
********** Factor found in step 2: 1950658192164034840937176083682793935993601
Found probable prime factor of 43 digits: 1950658192164034840937176083682793935993601
Probable prime cofactor 1042260960293763298353046820431621943621881006400454115672730816782770253428395787423306702551417 has 97 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
351e61318118Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)
1200Andreas TeteJuly 17, 2009 15:35:45 UTC 2009 年 7 月 18 日 (土) 0 時 35 分 45 秒 (日本時間)
403e62363663Andreas TeteJuly 26, 2009 15:57:55 UTC 2009 年 7 月 27 日 (月) 0 時 57 分 55 秒 (日本時間)
100Lionel DebrouxNovember 5, 2009 06:01:00 UTC 2009 年 11 月 5 日 (木) 15 時 1 分 0 秒 (日本時間)
100Lionel DebrouxNovember 10, 2009 18:35:34 UTC 2009 年 11 月 11 日 (水) 3 時 35 分 34 秒 (日本時間)
100Lionel DebrouxNovember 10, 2009 20:12:28 UTC 2009 年 11 月 11 日 (水) 5 時 12 分 28 秒 (日本時間)
100Lionel DebrouxNovember 10, 2009 20:59:19 UTC 2009 年 11 月 11 日 (水) 5 時 59 分 19 秒 (日本時間)
500Lionel DebrouxNovember 11, 2009 06:58:36 UTC 2009 年 11 月 11 日 (水) 15 時 58 分 36 秒 (日本時間)
800Lionel DebrouxNovember 11, 2009 15:19:48 UTC 2009 年 11 月 12 日 (木) 0 時 19 分 48 秒 (日本時間)

58×10203+239

c176

name 名前yoyo@home
date 日付February 7, 2010 05:41:28 UTC 2010 年 2 月 7 日 (日) 14 時 41 分 28 秒 (日本時間)
composite number 合成数
21676085777758871435078167894947235008173909258849921677137775395764058129141728022028586480202169028084650397687198047420124465667698302468724265592283903690201234412930305327<176>
prime factors 素因数
239722190250075819026970418261169800902701<42>
composite cofactor 合成数の残り
90421690854512020922354136658004031613954916647669792647513590509109421632730315142436156546071913292010384566215620187997465124452427<134>
factorization results 素因数分解の結果
GMP-ECM 6.2 [powered by GMP 4.2.2] [ECM]
Running on blade-a-7.delta.ncsu.edu
Input number is 21676085777758871435078167894947235008173909258849921677137775395764058129141728022028586480202169028084650397687198047420124465667698302468724265592283903690201234412930305327 (176 digits)
[Sat Feb  6 06:44:06 2010]
Using MODMULN
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2812246986
dF=65536, k=5, d=690690, d2=17, i0=46
Expected number of curves to find a factor of n digits:
20       25      30      35      40      45      50      55      60      65
2       5       14      55      246     1277    7553    49797   358989  2841353
Step 1 took 414749ms
Using 22 small primes for NTT
Estimated memory usage: 252M
Initializing tables of differences for F took 108ms
Computing roots of F took 6081ms
Building F from its roots took 15869ms
Computing 1/F took 9988ms
Initializing table of differences for G took 140ms
Computing roots of G took 4913ms
Building G from its roots took 18737ms
Computing roots of G took 4912ms
Building G from its roots took 18705ms
Computing G * H took 4945ms
Reducing  G * H mod F took 5384ms
Computing roots of G took 4912ms
Building G from its roots took 18718ms
Computing G * H took 4944ms
Reducing  G * H mod F took 5372ms
Computing roots of G took 4908ms
Building G from its roots took 18710ms
Computing G * H took 4960ms
Reducing  G * H mod F took 5384ms
Computing roots of G took 4913ms
Building G from its roots took 18685ms
Computing G * H took 4964ms
Reducing  G * H mod F took 5384ms
Computing polyeval(F,G) took 34483ms
Computing product of all F(g_i) took 48ms
Step 2 took 226623ms
********** Factor found in step 2: 239722190250075819026970418261169800902701
Found probable prime factor of 42 digits: 239722190250075819026970418261169800902701
Composite cofactor 90421690854512020922354136658004031613954916647669792647513590509109421632730315142436156546071913292010384566215620187997465124452427 has 134 digits
software ソフトウェア
GMP-ECM

c134

name 名前Sinkiti Sibata
date 日付March 17, 2010 22:38:34 UTC 2010 年 3 月 18 日 (木) 7 時 38 分 34 秒 (日本時間)
composite number 合成数
90421690854512020922354136658004031613954916647669792647513590509109421632730315142436156546071913292010384566215620187997465124452427<134>
prime factors 素因数
69084153322023925395400986644642323352019649601871139714223<59>
1308862980965067719470441038585190529201684018358694986115864671295029728549<76>
factorization results 素因数分解の結果
Number: 64447_203
N=90421690854512020922354136658004031613954916647669792647513590509109421632730315142436156546071913292010384566215620187997465124452427
  ( 134 digits)
Divisors found:
 r1=69084153322023925395400986644642323352019649601871139714223 (pp59)
 r2=1308862980965067719470441038585190529201684018358694986115864671295029728549 (pp76)
Version: Msieve-1.40
Total time: 402.40 hours.
Scaled time: 1309.40 units (timescale=3.254).
Factorization parameters were as follows:
name: 64447_203
n: 90421690854512020922354136658004031613954916647669792647513590509109421632730315142436156546071913292010384566215620187997465124452427
skew: 165444.63
# norm 2.26e+18
c5: 349200
c4: -323691603476
c3: -26152812204305674
c2: 7435224986006472472069
c1: 493411710491192455947696526
c0: -14472650807795182692487932984080
# alpha -5.72
Y1: 405242638309927
Y0: -48154885586948678307732513
# Murphy_E 4.21e-11
# M 25397844977271091561713828264253492862697239892561096156798647839660651646720242543748778720840560321230523318426718601676892055228164
type: gnfs
rlim: 8900000
alim: 8900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 8900000/8900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved algebraic special-q in [4450000, 16450001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1939993 x 1940241
Polynomial selection time: 40.01 hours.
Total sieving time: 354.04 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 7.76 hours.
Time per square root: 0.33 hours.
Prototype def-par.txt line would be:
gnfs,133,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,8900000,8900000,28,28,55,55,2.5,2.5,100000
total time: 402.40 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61318118Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)
1200Andreas TeteJuly 17, 2009 15:37:01 UTC 2009 年 7 月 18 日 (土) 0 時 37 分 1 秒 (日本時間)
403e62500Andreas TeteJuly 28, 2009 16:45:22 UTC 2009 年 7 月 29 日 (水) 1 時 45 分 22 秒 (日本時間)
4511e60 / 3534--
5043e695 / 7451yoyo@homeFebruary 6, 2010 08:20:11 UTC 2010 年 2 月 6 日 (土) 17 時 20 分 11 秒 (日本時間)

58×10204+239

c127

name 名前ruffenach timothee
date 日付February 10, 2010 10:24:27 UTC 2010 年 2 月 10 日 (水) 19 時 24 分 27 秒 (日本時間)
composite number 合成数
4749355242433235476123012030329441184378194798792784763016288122032273446358666218374587056281685045702182953651928741537683399<127>
prime factors 素因数
645346875990028767399568299611509239356875110009659787275773<60>
7359383641777507577507801687429632652623474921415355967991766418963<67>
factorization results 素因数分解の結果
Number: 64447_204/64447_204
N=4749355242433235476123012030329441184378194798792784763016288122032273446358666218374587056281685045702182953651928741537683399
  ( 127 digits)
Divisors found:
 r1=645346875990028767399568299611509239356875110009659787275773 (pp60)
 r2=7359383641777507577507801687429632652623474921415355967991766418963 (pp67)
Version: Msieve v. 1.43
Total time: 94.47 hours.
Scaled time: 197.64 units (timescale=2.092).
Factorization parameters were as follows:
# Murphy_E = 1.235251e-10, selected by Jeff Gilchrist
n: 4749355242433235476123012030329441184378194798792784763016288122032273446358666218374587056281685045702182953651928741537683399
Y0: -2579592398789927096539953
Y1: 81920910938063
c0: -6122683757152381994050213530880
c1: -143604147890492912327514432
c2: -290856011968547523076
c3: 4286896276204563
c4: -15895638772
c5: 41580
skew: 200235.6
type: gnfs
# selected mechanically
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved algebraic special-q in [4000000, 7700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1192090 x 1192316
Total sieving time: 90.86 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 2.00 hours.
Time per square root: 1.45 hours.
Prototype def-par.txt line would be:
gnfs,126,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,8000000,8000000,28,28,53,53,2.5,2.5,100000
total time: 94.47 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
Msieve v 1.43
execution environment 実行環境
Linux ubuntu 9.04 32bit quadcore 2.6 Gz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)
403e62550Dmitry DomanovJuly 15, 2009 02:41:03 UTC 2009 年 7 月 15 日 (水) 11 時 41 分 3 秒 (日本時間)

58×10205+239

c186

name 名前Andreas Tete
date 日付July 17, 2009 09:14:33 UTC 2009 年 7 月 17 日 (金) 18 時 14 分 33 秒 (日本時間)
composite number 合成数
134727250513077189288779178357329724100753454286954821221926891612661072880433491155433888914307483797263125939297150919878658730298600540984314405179920411028039064381055498573641321739<186>
prime factors 素因数
37279635067379744491429662807584297718778261<44>
composite cofactor 合成数の残り
3613963770556477654016730027656282688127304025375501313679954016553439847689009024896441883490154237053247753961776552755718531951417094099999<142>
factorization results 素因数分解の結果
Syd`s Databaseworkers found this factor with ecm and a B1 with 3000000
p44 = 37279635067379744491429662807584297718778261
software ソフトウェア
ECM with Syd`s Databaseworkers

c142

name 名前Erik Branger
date 日付February 22, 2017 08:02:30 UTC 2017 年 2 月 22 日 (水) 17 時 2 分 30 秒 (日本時間)
composite number 合成数
3613963770556477654016730027656282688127304025375501313679954016553439847689009024896441883490154237053247753961776552755718531951417094099999<142>
prime factors 素因数
9935572409474223564867729569232433592040322673076559708208575163<64>
363739865366018051469705608796722647061493330572375754617033780787398042273773<78>
factorization results 素因数分解の結果
Number: 64447_205
N = 3613963770556477654016730027656282688127304025375501313679954016553439847689009024896441883490154237053247753961776552755718531951417094099999 (142 digits)
Divisors found:
r1=9935572409474223564867729569232433592040322673076559708208575163 (pp64)
r2=363739865366018051469705608796722647061493330572375754617033780787398042273773 (pp78)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 211.55 hours.
Factorization parameters were as follows:
# Murphy_E = 1.733e-11, selected by Maksym Voznyy
# selected by CADO-NFS, optimized by Msieve
n: 3613963770556477654016730027656282688127304025375501313679954016553439847689009024896441883490154237053247753961776552755718531951417094099999
Y0: -172216374986252424422497589
Y1: 5757748758599104212961
c0: 412380781239050441109937409330160
c1: 5498614405282863753175266651
c2: -3042182136514784962373
c3: -116176532747090128
c4: 114916270125
c5: 111240
skew: 229771.31
type: gnfs
# selected mechanically
rlim: 20000000
alim: 20000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23072613
Relations: 4012842 relations
Pruned matrix : 2491336 x 2491565
Polynomial selection time: 0.00 hours.
Total sieving time: 208.71 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 2.54 hours.
time per square root: 0.14 hours.
Prototype def-par.txt line would be: gnfs,141,5,65,2000,1e-05,0.28,250,20,50000,3600,20000000,20000000,28,28,56,56,2.6,2.6,100000
total time: 211.55 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-8-6.2.9200
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61322118Makoto KamadaJuly 13, 2009 01:00:00 UTC 2009 年 7 月 13 日 (月) 10 時 0 分 0 秒 (日本時間)
1204Andreas TeteJuly 16, 2009 21:34:15 UTC 2009 年 7 月 17 日 (金) 6 時 34 分 15 秒 (日本時間)
403e619901660Andreas TeteJuly 17, 2009 15:34:17 UTC 2009 年 7 月 18 日 (土) 0 時 34 分 17 秒 (日本時間)
330Wataru SakaiAugust 21, 2009 12:20:13 UTC 2009 年 8 月 21 日 (金) 21 時 20 分 13 秒 (日本時間)
4511e639803381Wataru SakaiMay 31, 2010 01:55:46 UTC 2010 年 5 月 31 日 (月) 10 時 55 分 46 秒 (日本時間)
599Wataru SakaiJuly 7, 2010 02:15:49 UTC 2010 年 7 月 7 日 (水) 11 時 15 分 49 秒 (日本時間)
5043e64640 / 6577Wataru SakaiAugust 29, 2010 02:42:54 UTC 2010 年 8 月 29 日 (日) 11 時 42 分 54 秒 (日本時間)

58×10206+239

c170

composite cofactor 合成数の残り
52443503495136266967794535239737351292212993573523686286200599741046900917561396919270337091542041204362674122160931559406866482608096491605863447903307751752570532643827<170>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:25:50 UTC 2014 年 1 月 7 日 (火) 5 時 25 分 50 秒 (日本時間)
403e62600300Serge BatalovJanuary 9, 2014 04:56:05 UTC 2014 年 1 月 9 日 (木) 13 時 56 分 5 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:16 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 16 秒 (日本時間)
1000Dmitry DomanovMay 28, 2014 15:32:43 UTC 2014 年 5 月 29 日 (木) 0 時 32 分 43 秒 (日本時間)

58×10207+239

c191

composite cofactor 合成数の残り
83343915069864206251322537628907295478433376586935613491633070196870779015163993088385128630416249736446687354994928315982793353917631642147823400866029227619207657174909789860022866910120529<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:25:51 UTC 2014 年 1 月 7 日 (火) 5 時 25 分 51 秒 (日本時間)
403e62890290CypJanuary 6, 2014 21:22:51 UTC 2014 年 1 月 7 日 (火) 6 時 22 分 51 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:56:06 UTC 2014 年 1 月 9 日 (木) 13 時 56 分 6 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:17 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 17 秒 (日本時間)
1000Dmitry DomanovMay 28, 2014 15:33:01 UTC 2014 年 5 月 29 日 (木) 0 時 33 分 1 秒 (日本時間)

58×10209+239

c198

composite cofactor 合成数の残り
231368384916115264705918628503885880187366274181750965672969790598244218415833245670347576703029415587578264764333558188600361189574160065813889939012194793505584890325213105783671944505019197463821<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
403e6289046CypJanuary 1, 2014 00:34:30 UTC 2014 年 1 月 1 日 (水) 9 時 34 分 30 秒 (日本時間)
244CypJanuary 5, 2014 18:06:55 UTC 2014 年 1 月 6 日 (月) 3 時 6 分 55 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:56:06 UTC 2014 年 1 月 9 日 (木) 13 時 56 分 6 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:17 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 17 秒 (日本時間)
1000Dmitry DomanovMay 29, 2014 10:24:41 UTC 2014 年 5 月 29 日 (木) 19 時 24 分 41 秒 (日本時間)

58×10210+239

c202

composite cofactor 合成数の残り
3397884400274749909660784309124561734813909461404888643226299149273106299606152642760549025495749607230384320470308650500971635618709155246880582200290164927783712133086275900330562006338031708366984157<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:25:51 UTC 2014 年 1 月 7 日 (火) 5 時 25 分 51 秒 (日本時間)
403e62600300Serge BatalovJanuary 9, 2014 04:56:07 UTC 2014 年 1 月 9 日 (木) 13 時 56 分 7 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:18 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 18 秒 (日本時間)
1000Dmitry DomanovMay 29, 2014 10:25:04 UTC 2014 年 5 月 29 日 (木) 19 時 25 分 4 秒 (日本時間)

58×10211+239

c205

name 名前Serge Batalov
date 日付May 19, 2014 01:08:13 UTC 2014 年 5 月 19 日 (月) 10 時 8 分 13 秒 (日本時間)
composite number 合成数
6884590791377895176668748543182011096037418273230440275160001154237256126873322378050186791411653411514746360220710959583641789708251339934255244138213098050306440851613910106782258471254536604069474494793<205>
prime factors 素因数
11986283722052198108261970350421144743<38>
574372420261646299689788137084514331533645326778613379383038447027373288480902167033978109838615468400953168807380171045418109072634683571649088694271390185452212830351<168>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1866525161
Step 1 took 64075ms
Step 2 took 33064ms
********** Factor found in step 2: 11986283722052198108261970350421144743
Found probable prime factor of 38 digits: 11986283722052198108261970350421144743
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
403e6590 / 2318290CypJanuary 3, 2014 02:13:15 UTC 2014 年 1 月 3 日 (金) 11 時 13 分 15 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:56:08 UTC 2014 年 1 月 9 日 (木) 13 時 56 分 8 秒 (日本時間)

58×10212+239

c184

name 名前Cyp
date 日付January 3, 2014 07:52:32 UTC 2014 年 1 月 3 日 (金) 16 時 52 分 32 秒 (日本時間)
composite number 合成数
1773459503693604311230235987740594139859926568386442637000275154856341169916197524527871522912378219921774993992704650763515145856728890316464302928793716602757962543106226221637409703<184>
prime factors 素因数
4353738899782153871185770093670515179<37>
composite cofactor 合成数の残り
407341722716156021351778819985560268266833146740106575973684383852701140669721795537077065058986660708763199775674530769829132116253984880530645557<147>
factorization results 素因数分解の結果
Run 80 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2738661526
Step 1 took 15997ms
********** Factor found in step 1: 4353738899782153871185770093670515179
Found probable prime factor of 37 digits: 4353738899782153871185770093670515179
Composite cofactor 407341722716156021351778819985560268266833146740106575973684383852701140669721795537077065058986660708763199775674530769829132116253984880530645557 has 147 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c147

name 名前Serge Batalov
date 日付January 5, 2014 01:02:23 UTC 2014 年 1 月 5 日 (日) 10 時 2 分 23 秒 (日本時間)
composite number 合成数
407341722716156021351778819985560268266833146740106575973684383852701140669721795537077065058986660708763199775674530769829132116253984880530645557<147>
prime factors 素因数
37874850861272840610077532173092367<35>
2994333041185488006354173291589019312864308841<46>
3591764566842755824773584620708962806577150882071624943903571198531<67>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1936422998
Step 1 took 33613ms
Step 2 took 19683ms
********** Factor found in step 2: 37874850861272840610077532173092367
Found probable prime factor of 35 digits: 37874850861272840610077532173092367
Composite cofactor 

Divisors found:
 r1=2994333041185488006354173291589019312864308841 (pp46)
 r2=3591764566842755824773584620708962806577150882071624943903571198531 (pp67)
Version: Msieve v. 1.51 (SVN 719M)
Total time: 10.16 hours.
Scaled time: 24.39 units (timescale=2.400).
Factorization parameters were as follows:
name: test
type: gnfs
n:  10754939318656546066411974346531944796443198532137859295988697826492790273908389632368112571474730669035309512571
skew:  68567.65
Y0:  -4355185507155928322534
Y1:  123613239289
c0:  849384160534852679755761975
c1:  -315952383875105013946500
c2:  23480657725891127253
c3:  137921499796444
c4:  -1448940532
c5:  6864
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [1750000, 2550001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 376768 x 376998
Total sieving time: 9.75 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.26 hours.
Prototype def-par.txt line would be:
gnfs,112,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,52,52,2.6,2.6,100000
total time: 10.16 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
403e6290 / 593CypJanuary 3, 2014 07:52:31 UTC 2014 年 1 月 3 日 (金) 16 時 52 分 31 秒 (日本時間)
4511e6500 / 4411Serge BatalovJanuary 4, 2014 22:39:02 UTC 2014 年 1 月 5 日 (日) 7 時 39 分 2 秒 (日本時間)

58×10213+239

c150

composite cofactor 合成数の残り
100484908541571527588482363966332083373626246202270767964801391571793857645648177977938865169770266872438836240801291040537729534504963615887145670889<150>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62048Justin CardNovember 17, 2013 03:28:48 UTC 2013 年 11 月 17 日 (日) 12 時 28 分 48 秒 (日本時間)
4511e64032600Serge BatalovNovember 20, 2013 01:03:17 UTC 2013 年 11 月 20 日 (水) 10 時 3 分 17 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:25:01 UTC 2014 年 1 月 6 日 (月) 11 時 25 分 1 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:01 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 1 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:34:43 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 43 秒 (日本時間)
1832Ignacio SantosJanuary 26, 2016 15:10:10 UTC 2016 年 1 月 27 日 (水) 0 時 10 分 10 秒 (日本時間)

58×10215+239

c173

composite cofactor 合成数の残り
64550319118693134947471878843514488000430541432615812063300220202550716954423403531113927321387126880188528818674761751883836075416093289074513886195423400588683738834310997<173>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62890290CypJanuary 1, 2014 07:11:52 UTC 2014 年 1 月 1 日 (水) 16 時 11 分 52 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:56:09 UTC 2014 年 1 月 9 日 (木) 13 時 56 分 9 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:18 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 18 秒 (日本時間)
1000Dmitry DomanovMay 29, 2014 10:25:31 UTC 2014 年 5 月 29 日 (木) 19 時 25 分 31 秒 (日本時間)

58×10216+239

c179

composite cofactor 合成数の残り
15839195198299038880209820569600153177769303685462087853910742142715869072097896057619424063277702532730418503779136591574603678037931028096366532761662953397813318260927028400113<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
403e6590290CypJanuary 4, 2014 12:13:51 UTC 2014 年 1 月 4 日 (土) 21 時 13 分 51 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:56:13 UTC 2014 年 1 月 9 日 (木) 13 時 56 分 13 秒 (日本時間)
4511e6801 / 4345251CypJanuary 10, 2014 17:43:12 UTC 2014 年 1 月 11 日 (土) 2 時 43 分 12 秒 (日本時間)
250CypMarch 6, 2014 21:28:36 UTC 2014 年 3 月 7 日 (金) 6 時 28 分 36 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:34:43 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 43 秒 (日本時間)

58×10218+239

c185

name 名前Serge Batalov
date 日付May 19, 2014 01:57:31 UTC 2014 年 5 月 19 日 (月) 10 時 57 分 31 秒 (日本時間)
composite number 合成数
43233595538581653567449190876369795575038282186636983642814095792656414554103034017904818009098290846545109377479679120053703148887614925446136968484350568348101485515311424165450035343<185>
prime factors 素因数
387172462300211660988247164853896455183<39>
111664954893043328026854750405556748955715258801796670946918741767278563566707759200245948510908774857176703119587073970806753803514117754861595521<147>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1594631580
Step 1 took 55070ms
Step 2 took 29725ms
********** Factor found in step 2: 387172462300211660988247164853896455183
Found probable prime factor of 39 digits: 387172462300211660988247164853896455183
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:25:52 UTC 2014 年 1 月 7 日 (火) 5 時 25 分 52 秒 (日本時間)
403e6590 / 2100290CypJanuary 6, 2014 22:04:58 UTC 2014 年 1 月 7 日 (火) 7 時 4 分 58 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:56:14 UTC 2014 年 1 月 9 日 (木) 13 時 56 分 14 秒 (日本時間)

58×10219+239

c195

composite cofactor 合成数の残り
839766005391284113260319524255474090626346906037407737261722952984108882305875911037547491972753705395844678467096642576861766953935655625556577457512125048147941636796986032889120548163533523181<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62890290CypJanuary 4, 2014 16:24:06 UTC 2014 年 1 月 5 日 (日) 1 時 24 分 6 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:56:15 UTC 2014 年 1 月 9 日 (木) 13 時 56 分 15 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:18 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 18 秒 (日本時間)
1000Dmitry DomanovMay 29, 2014 10:25:57 UTC 2014 年 5 月 29 日 (木) 19 時 25 分 57 秒 (日本時間)

58×10220+239

c212

name 名前Serge Batalov
date 日付January 9, 2014 07:06:47 UTC 2014 年 1 月 9 日 (木) 16 時 6 分 47 秒 (日本時間)
composite number 合成数
96803645616080864988120859963751284063014587473711837179945277062698010010745056119859806510285140580863689533334591480301235300189287562068813936660098534304530461904074477277392005986890227095475966425464077207<212>
prime factors 素因数
486174603009320207173677164043877<33>
composite cofactor 合成数の残り
199112921606530506711375574549033682261327925711377107572445795316310678877592473692404272261751917962580814117864891846610155588279822447961779940604883919115684347134400478217291<180>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1085683726
Step 1 took 20156ms
Step 2 took 7616ms
********** Factor found in step 2: 486174603009320207173677164043877
Found probable prime factor of 33 digits: 486174603009320207173677164043877
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:25:53 UTC 2014 年 1 月 7 日 (火) 5 時 25 分 53 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2014 04:56:15 UTC 2014 年 1 月 9 日 (木) 13 時 56 分 15 秒 (日本時間)
4511e6822 / 4372522CypMarch 6, 2014 22:11:47 UTC 2014 年 3 月 7 日 (金) 7 時 11 分 47 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:34:44 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 44 秒 (日本時間)

58×10221+239

c209

composite cofactor 合成数の残り
86048440240428263233167872993753883305371296786564925939621872259318603837298306408915718191400087151052761495285207902043873923772071746100384599744900774921899198715408243820443145045782418962058738830764679<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62890290CypJanuary 6, 2014 08:13:04 UTC 2014 年 1 月 6 日 (月) 17 時 13 分 4 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:56:16 UTC 2014 年 1 月 9 日 (木) 13 時 56 分 16 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:19 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 19 秒 (日本時間)
1000Dmitry DomanovMay 29, 2014 10:26:24 UTC 2014 年 5 月 29 日 (木) 19 時 26 分 24 秒 (日本時間)

58×10223+239

c223

name 名前Bob Backstrom
date 日付August 27, 2018 03:30:57 UTC 2018 年 8 月 27 日 (月) 12 時 30 分 57 秒 (日本時間)
composite number 合成数
3391812865497076023391812865497076023391812865497076023391812865497076023391812865497076023391812865497076023391812865497076023391812865497076023391812865497076023391812865497076023391812865497076023391812865497076023391813<223>
prime factors 素因数
436556641569870400156680131557268572555185673152605289916690228311211661179454802703<84>
7769468019774062202294246755445833884398348920236137202324462193900451938164708420876638475249868431410515796373383333852294088056517163371<139>
factorization results 素因数分解の結果
Number: n
N=3391812865497076023391812865497076023391812865497076023391812865497076023391812865497076023391812865497076023391812865497076023391812865497076023391812865497076023391812865497076023391812865497076023391812865497076023391813
  ( 223 digits)
SNFS difficulty: 224 digits.
Divisors found:

Mon Aug 27 12:59:21 2018  p84 factor: 436556641569870400156680131557268572555185673152605289916690228311211661179454802703
Mon Aug 27 12:59:21 2018  p139 factor: 7769468019774062202294246755445833884398348920236137202324462193900451938164708420876638475249868431410515796373383333852294088056517163371
Mon Aug 27 12:59:21 2018  elapsed time 15:44:50 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.090).
Factorization parameters were as follows:
#
# 58x10^223+23 = 64(222)7
#
n: 3391812865497076023391812865497076023391812865497076023391812865497076023391812865497076023391812865497076023391812865497076023391812865497076023391812865497076023391812865497076023391812865497076023391812865497076023391813
m: 10000000000000000000000000000000000000
deg: 6
c6: 580
c0: 23
skew: 0.58
# Murphy_E = 1.317e-12
type: snfs
lss: 1
rlim: 39000000
alim: 39000000
lpbr: 29
lpba: 29
mfbr: 59
mfba: 59
rlambda: 2.6
alambda: 2.6
Factor base limits: 39000000/39000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 59/59
Sieved  special-q in [100000, 100000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 23146164 hash collisions in 100234470 relations (75629074 unique)
Msieve: matrix is 5401387 x 5401612 (1860.5 MB)

Sieving start time: 2018/08/13  5:16:45
Sieving end time  : 2018/08/21 20:58:51

Total sieving time: 207hrs 42min 6secs.

Total relation processing time: 14hrs 44min 18sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 22min 15sec.

Prototype def-par.txt line would be:
snfs,224,6,0,0,0,0,0,0,0,0,39000000,39000000,29,29,59,59,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.048000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16285196K/16703460K available (12300K kernel code, 2470K rwdata, 4244K rodata, 2408K init, 2416K bss, 418264K reserved, 0K cma-reserved)
[    0.080572] x86/mm: Memory block size: 128MB
[    0.032000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.92 BogoMIPS (lpj=11977840)
[    0.078217] smpboot: Total of 16 processors activated (95822.72 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovNovember 19, 2013 19:20:48 UTC 2013 年 11 月 20 日 (水) 4 時 20 分 48 秒 (日本時間)
4511e64200 / 4409600Serge BatalovNovember 20, 2013 01:02:56 UTC 2013 年 11 月 20 日 (水) 10 時 2 分 56 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:28:27 UTC 2014 年 1 月 6 日 (月) 11 時 28 分 27 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:45 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 45 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:34:44 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 44 秒 (日本時間)
1000Serge BatalovDecember 18, 2014 00:18:41 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 41 秒 (日本時間)
1000Serge BatalovDecember 21, 2014 10:24:33 UTC 2014 年 12 月 21 日 (日) 19 時 24 分 33 秒 (日本時間)

58×10224+239

c193

name 名前Serge Batalov
date 日付January 6, 2014 22:13:50 UTC 2014 年 1 月 7 日 (火) 7 時 13 分 50 秒 (日本時間)
composite number 合成数
5375142544866630286236255139082500797091759404167593485482961181762613083748984100715566334590620961703172070088870639464672638719721580979214399018347132637054527118073298412734312594226014967<193>
prime factors 素因数
1760720388002006742756103772942777297<37>
composite cofactor 合成数の残り
3052808714827299474913563042768663387446103747677187192092256054878499303741346332759423101801264392420724180666344408744793985066320550196201898450311255111<157>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=1684131789
Step 1 took 5468ms
Step 2 took 232ms
********** Factor found in step 2: 1760720388002006742756103772942777297
Found probable prime factor of 37 digits: 1760720388002006742756103772942777297
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:25:54 UTC 2014 年 1 月 7 日 (火) 5 時 25 分 54 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2014 04:56:17 UTC 2014 年 1 月 9 日 (木) 13 時 56 分 17 秒 (日本時間)
4511e64378230Ignacio SantosFebruary 8, 2014 13:53:59 UTC 2014 年 2 月 8 日 (土) 22 時 53 分 59 秒 (日本時間)
230Ignacio SantosFebruary 8, 2014 17:38:24 UTC 2014 年 2 月 9 日 (日) 2 時 38 分 24 秒 (日本時間)
230Ignacio SantosFebruary 8, 2014 21:45:26 UTC 2014 年 2 月 9 日 (日) 6 時 45 分 26 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:01 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 1 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:34:45 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 45 秒 (日本時間)
2488Ignacio SantosFebruary 29, 2016 22:59:15 UTC 2016 年 3 月 1 日 (火) 7 時 59 分 15 秒 (日本時間)

58×10225+239

c208

name 名前Serge Batalov
date 日付November 10, 2013 20:45:21 UTC 2013 年 11 月 11 日 (月) 5 時 45 分 21 秒 (日本時間)
composite number 合成数
2185824348770901082928907813918909650327960967230125333298098167938062425676046053898198463706819098604383113224063008447988915809743338459221969965242589771736871118540540488959560022969844922560955939519321<208>
prime factors 素因数
510968610867050229363343893983109343<36>
composite cofactor 合成数の残り
4277805529114261672040101534534118361356626830169530557904204960349964903218140049068481939335330827264952559205612398980722662368817907552727180617507270432642501322101447<172>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=4127801406
Step 1 took 12072ms
Step 2 took 7373ms
********** Factor found in step 2: 510968610867050229363343893983109343
Found probable prime factor of 36 digits: 510968610867050229363343893983109343
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:25:54 UTC 2014 年 1 月 7 日 (火) 5 時 25 分 54 秒 (日本時間)
403e62600300Serge BatalovJanuary 9, 2014 04:56:18 UTC 2014 年 1 月 9 日 (木) 13 時 56 分 18 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:19 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 19 秒 (日本時間)
1000Dmitry DomanovMay 29, 2014 10:27:00 UTC 2014 年 5 月 29 日 (木) 19 時 27 分 0 秒 (日本時間)

58×10229+239

c217

name 名前Serge Batalov
date 日付May 27, 2014 00:03:37 UTC 2014 年 5 月 27 日 (火) 9 時 3 分 37 秒 (日本時間)
composite number 合成数
3067859112882448418231004895331873733589214453356760688266584392723868007535277156198096302900367312062230500244619352668450397659102589872957848937132571436422085983571619912985742750952909438406287703771098679492429<217>
prime factors 素因数
796544901760419547583013406297693032997<39>
composite cofactor 合成数の残り
3851457847639557715521533216180006410476608283465196132107842968118790263785498228692540513179156021013265539939183333775722555382891406735852020973681980223062974683147965262857<178>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2369248905
Step 1 took 20739ms
Step 2 took 7863ms
********** Factor found in step 2: 796544901760419547583013406297693032997
Found probable prime factor of 39 digits: 796544901760419547583013406297693032997
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62890290CypJanuary 2, 2014 20:43:04 UTC 2014 年 1 月 3 日 (金) 5 時 43 分 4 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:56:19 UTC 2014 年 1 月 9 日 (木) 13 時 56 分 19 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:19 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 19 秒 (日本時間)
1000Dmitry DomanovMay 29, 2014 10:27:24 UTC 2014 年 5 月 29 日 (木) 19 時 27 分 24 秒 (日本時間)

58×10230+239

c201

composite cofactor 合成数の残り
743195962270156852502480775990720841586431060462695768013185331322355557459687144175756024015394480042962768966952304083877351465386721542703533058079219137944585046811184974434743199502868171313861909<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:25:55 UTC 2014 年 1 月 7 日 (火) 5 時 25 分 55 秒 (日本時間)
403e62600300Serge BatalovJanuary 9, 2014 04:56:20 UTC 2014 年 1 月 9 日 (木) 13 時 56 分 20 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:20 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 20 秒 (日本時間)
1000Dmitry DomanovMay 29, 2014 10:27:49 UTC 2014 年 5 月 29 日 (木) 19 時 27 分 49 秒 (日本時間)

58×10231+239

c181

composite cofactor 合成数の残り
1355145104853587237214291996462792741674954382711694117410215485557012866703516416395341321775493444904118118580918819907719977273805999459677154130036496823870604841576751124110559<181>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:25:56 UTC 2014 年 1 月 7 日 (火) 5 時 25 分 56 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2014 04:56:21 UTC 2014 年 1 月 9 日 (木) 13 時 56 分 21 秒 (日本時間)
4511e6822 / 4372522CypMarch 10, 2014 07:00:37 UTC 2014 年 3 月 10 日 (月) 16 時 0 分 37 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:34:45 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 45 秒 (日本時間)

58×10232+239

c195

name 名前Cyp
date 日付January 6, 2014 03:21:36 UTC 2014 年 1 月 6 日 (月) 12 時 21 分 36 秒 (日本時間)
composite number 合成数
128706932433697089950737932083188532435703667297831482265270557105694530076806275912013724655155522784106588446835082063719126212959006698832039613418043433872063017157284345651558132062578683499<195>
prime factors 素因数
19507782753241396505587760809879007474879<41>
6597722255867917951143323272772254140110385472001993811160097436142071969491645682606247234129456157168118434264385635466378092802430319377922643271357781<154>
factorization results 素因数分解の結果
Run 142 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2448333714
Step 1 took 18874ms
Step 2 took 6159ms
********** Factor found in step 2: 19507782753241396505587760809879007474879
Found probable prime factor of 41 digits: 19507782753241396505587760809879007474879
Probable prime cofactor 6597722255867917951143323272772254140110385472001993811160097436142071969491645682606247234129456157168118434264385635466378092802430319377922643271357781 has 154 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 506Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
403e6142 / 2318CypJanuary 6, 2014 03:21:35 UTC 2014 年 1 月 6 日 (月) 12 時 21 分 35 秒 (日本時間)

58×10233+239

c225

name 名前Cyp
date 日付December 31, 2013 22:01:16 UTC 2014 年 1 月 1 日 (水) 7 時 1 分 16 秒 (日本時間)
composite number 合成数
219245894116244263556065555828592673772895810401779188384087136346652825812478847881442663607837767171381907803165757911770774634273354500614917806296835364366380088570479256255573625412798149270289585335998805916399548686727<225>
prime factors 素因数
7138920350615439959638674466279918987<37>
composite cofactor 合成数の残り
30711351765865166217302363393715289121796422143837855378756714908423270493124917429087495352517558298606979816539838431022005274447091802526817855310357341881539001472209628497291868124021<188>
factorization results 素因数分解の結果
Run 46 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1944265126
Step 1 took 21406ms
Step 2 took 6897ms
********** Factor found in step 2: 7138920350615439959638674466279918987
Found probable prime factor of 37 digits: 7138920350615439959638674466279918987
Composite cofactor 30711351765865166217302363393715289121796422143837855378756714908423270493124917429087495352517558298606979816539838431022005274447091802526817855310357341881539001472209628497291868124021 has 188 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:25:57 UTC 2014 年 1 月 7 日 (火) 5 時 25 分 57 秒 (日本時間)
403e639494CypDecember 31, 2013 22:01:15 UTC 2014 年 1 月 1 日 (水) 7 時 1 分 15 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:56:21 UTC 2014 年 1 月 9 日 (木) 13 時 56 分 21 秒 (日本時間)
4511e6681 / 4207381CypFebruary 19, 2014 05:39:35 UTC 2014 年 2 月 19 日 (水) 14 時 39 分 35 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:34:46 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 46 秒 (日本時間)
5043e641 / 7380CypJanuary 23, 2014 10:29:35 UTC 2014 年 1 月 23 日 (木) 19 時 29 分 35 秒 (日本時間)

58×10234+239

c222

composite cofactor 合成数の残り
510711092774496019883699786470474759770140360302799563460894177120514363400084269194489573034142835816045301675136509297113093852688892718418230720800182396816411715956644070388491303186528706496357384450412235126037967341<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62890290CypJanuary 5, 2014 19:47:52 UTC 2014 年 1 月 6 日 (月) 4 時 47 分 52 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:56:22 UTC 2014 年 1 月 9 日 (木) 13 時 56 分 22 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:20 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 20 秒 (日本時間)
1000Dmitry DomanovMay 29, 2014 10:28:25 UTC 2014 年 5 月 29 日 (木) 19 時 28 分 25 秒 (日本時間)
4511e60 / 3699--
5043e639 / 7444CypJanuary 12, 2014 15:31:41 UTC 2014 年 1 月 13 日 (月) 0 時 31 分 41 秒 (日本時間)

58×10235+239

c142

name 名前Serge Batalov
date 日付November 20, 2013 00:37:31 UTC 2013 年 11 月 20 日 (水) 9 時 37 分 31 秒 (日本時間)
composite number 合成数
6222472311431519278956453467549216574358737157047779972759499481096789087668529403596123954604678104390115099785165749622308390027208765569481<142>
prime factors 素因数
390672291278483143878269504658586253<36>
composite cofactor 合成数の残り
15927600831552066550191281197825881500892863639252579750358012853483609172357041909245293805333765166476077<107>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4186361542
Step 1 took 10378ms
Step 2 took 4232ms
********** Factor found in step 2: 390672291278483143878269504658586253
Found probable prime factor of 36 digits: 390672291278483143878269504658586253
Composite cofactor 

c107

name 名前Dmitry Domanov
date 日付November 21, 2013 05:08:33 UTC 2013 年 11 月 21 日 (木) 14 時 8 分 33 秒 (日本時間)
composite number 合成数
15927600831552066550191281197825881500892863639252579750358012853483609172357041909245293805333765166476077<107>
prime factors 素因数
76386549414470400959748083130113061551168594352827<50>
208513160414270493459579094880158450380706383696801789751<57>
factorization results 素因数分解の結果
N=15927600831552066550191281197825881500892863639252579750358012853483609172357041909245293805333765166476077
  ( 107 digits)
Divisors found:
 r1=76386549414470400959748083130113061551168594352827 (pp50)
 r2=208513160414270493459579094880158450380706383696801789751 (pp57)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 9.41 hours.
Scaled time: 17.55 units (timescale=1.864).
Factorization parameters were as follows:
name: zz107
n: 15927600831552066550191281197825881500892863639252579750358012853483609172357041909245293805333765166476077
skew: 35303.86
# norm 6.20e+14
c5: 1020
c4: 301423752
c3: -22693773037055
c2: -296571711823609490
c1: 3257343198477305488160
c0: 20294583903968310804000848
# alpha -5.46
Y1: 71133379009
Y0: -435216992156854149915
# Murphy_E 1.52e-09
# M 7729434195254005607976322514838684133744711440503002283919953773802362031633026932326127127958012473195721
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 353513 x 353761
Polynomial selection time: 0.95 hours.
Total sieving time: 8.18 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 9.41 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovNovember 19, 2013 19:20:42 UTC 2013 年 11 月 20 日 (水) 4 時 20 分 42 秒 (日本時間)

58×10236+239

c229

name 名前Serge Batalov
date 日付May 19, 2014 02:01:07 UTC 2014 年 5 月 19 日 (月) 11 時 1 分 7 秒 (日本時間)
composite number 合成数
1085360398588336626622742004086646504065019107508769258695496246107684515118450293425059820335431555611375266592747298491512617259523479519445672730901383092589515252788905449299137439408649336158408932525960904259655066181466181<229>
prime factors 素因数
1226819903231640920913930198239798925628064771<46>
884694155783846341503150370087450667387548571330643243152014019407158025175814339606346491724524457109200540959127776997884112542869514343091886420799548329075253411487508063701234711<183>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=2992732747
Step 1 took 79106ms
Step 2 took 37250ms
********** Factor found in step 2: 1226819903231640920913930198239798925628064771
Found probable prime factor of 46 digits: 1226819903231640920913930198239798925628064771
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
403e6590 / 2318290CypJanuary 6, 2014 08:00:17 UTC 2014 年 1 月 6 日 (月) 17 時 0 分 17 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:56:23 UTC 2014 年 1 月 9 日 (木) 13 時 56 分 23 秒 (日本時間)

58×10238+239

c183

composite cofactor 合成数の残り
100254441510391807182918941509166337015805397862490167374504141819759132069025428089314187698464399556134814788081841587193380975202322477391157045474999529540889402358291466253947339<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
403e6590290CypJanuary 6, 2014 18:20:13 UTC 2014 年 1 月 7 日 (火) 3 時 20 分 13 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:56:24 UTC 2014 年 1 月 9 日 (木) 13 時 56 分 24 秒 (日本時間)
4511e6300 / 3682Serge BatalovMay 27, 2014 00:34:46 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 46 秒 (日本時間)
5043e6189 / 746339CypFebruary 4, 2014 06:22:54 UTC 2014 年 2 月 4 日 (火) 15 時 22 分 54 秒 (日本時間)
150CypFebruary 12, 2014 06:06:51 UTC 2014 年 2 月 12 日 (水) 15 時 6 分 51 秒 (日本時間)

58×10239+239

c212

composite cofactor 合成数の残り
10983623505283869190740902332754555042191291546233415440299248380386810013352342532723645393307749904885732545038357721711377477833608476282175531323780792491283125579350511973593000202001653281899275355008764023<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:25:58 UTC 2014 年 1 月 7 日 (火) 5 時 25 分 58 秒 (日本時間)
403e62600300Serge BatalovJanuary 9, 2014 04:56:25 UTC 2014 年 1 月 9 日 (木) 13 時 56 分 25 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:21 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 21 秒 (日本時間)
1000Dmitry DomanovMay 29, 2014 10:28:55 UTC 2014 年 5 月 29 日 (木) 19 時 28 分 55 秒 (日本時間)

58×10240+239

c227

composite cofactor 合成数の残り
23240153659489745650447555219692968172255790427495361730458422916446398960126848692761481482533946010991200152667327815596814362684942364332120261659918292464934495440883059320366527299769683398111382628625205571405876728925127<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:25:59 UTC 2014 年 1 月 7 日 (火) 5 時 25 分 59 秒 (日本時間)
403e62600300Serge BatalovJanuary 9, 2014 04:56:25 UTC 2014 年 1 月 9 日 (木) 13 時 56 分 25 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:21 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 21 秒 (日本時間)
1000Dmitry DomanovMay 29, 2014 10:29:14 UTC 2014 年 5 月 29 日 (木) 19 時 29 分 14 秒 (日本時間)

58×10241+239

c207

name 名前Serge Batalov
date 日付November 10, 2013 19:39:22 UTC 2013 年 11 月 11 日 (月) 4 時 39 分 22 秒 (日本時間)
composite number 合成数
104653563124333413688817828931286388937047798048874160359179831323489068612414891098592925100503501637212573795122748449750897154138950206352329091222333384944490609841683033072537511874879422399874611268537<207>
prime factors 素因数
1946540981997146731267834308723757<34>
composite cofactor 合成数の残り
53763863228278445996102592512768717351306956111545044255039693426096946717218224440881680531001041608490337104320480771077475990962527279600356419627690055822115465182388541<173>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=3812927484
Step 1 took 12112ms
Step 2 took 7377ms
********** Factor found in step 2: 1946540981997146731267834308723757
Found probable prime factor of 34 digits: 1946540981997146731267834308723757
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61890290CypJanuary 5, 2014 01:24:22 UTC 2014 年 1 月 5 日 (日) 10 時 24 分 22 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:56:26 UTC 2014 年 1 月 9 日 (木) 13 時 56 分 26 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:21 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 21 秒 (日本時間)
4511e6158 / 4057CypMarch 11, 2014 17:53:24 UTC 2014 年 3 月 12 日 (水) 2 時 53 分 24 秒 (日本時間)

58×10242+239

c235

name 名前Cyp
date 日付January 5, 2014 08:50:44 UTC 2014 年 1 月 5 日 (日) 17 時 50 分 44 秒 (日本時間)
composite number 合成数
6281060799998203183434593617461731952115501292128456889699327666263553599230368191701406374671780866645369755376907241810668730259377196283233386440677044683658211835769116257745188255569853307525234224033130022650945557011451301919277<235>
prime factors 素因数
72198125127705193359931075163<29>
composite cofactor 合成数の残り
86997561070847239108212776728501897069862851627963099877996004578510784961871360119150867321909893795723118540898303293632727543722887012314993570253723347077821694978024590850718771668728928072507341177879<206>
factorization results 素因数分解の結果
Run 68 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2169737951
Step 1 took 24728ms
Step 2 took 7425ms
********** Factor found in step 2: 72198125127705193359931075163
Found probable prime factor of 29 digits: 72198125127705193359931075163
Composite cofactor 86997561070847239108212776728501897069862851627963099877996004578510784961871360119150867321909893795723118540898303293632727543722887012314993570253723347077821694978024590850718771668728928072507341177879 has 206 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62890290CypJanuary 5, 2014 08:50:43 UTC 2014 年 1 月 5 日 (日) 17 時 50 分 43 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:56:27 UTC 2014 年 1 月 9 日 (木) 13 時 56 分 27 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:22 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 22 秒 (日本時間)
1000Dmitry DomanovMay 29, 2014 10:29:43 UTC 2014 年 5 月 29 日 (木) 19 時 29 分 43 秒 (日本時間)

58×10243+239

c237

name 名前Cyp
date 日付January 6, 2014 03:51:45 UTC 2014 年 1 月 6 日 (月) 12 時 51 分 45 秒 (日本時間)
composite number 合成数
271098460909067270834827004055992881777060133410637526872693364003730520483010144939099577030779056254748867964107442508581750318139886516034172222747826048588163853349399749913539455943436222257156530788332028812213550296609994608459247<237>
prime factors 素因数
1214845259593245629235598538650076081<37>
223154725894750110766574971243144163390139771940162393105041754955347231766278520420816711361364802508313487956126348038984324947834641242973668347598858608346856369543724982833282937273053533468304287<201>
factorization results 素因数分解の結果
Run 115 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1974842242
Step 1 took 24680ms
Step 2 took 7473ms
********** Factor found in step 2: 1214845259593245629235598538650076081
Found probable prime factor of 37 digits: 1214845259593245629235598538650076081
Probable prime cofactor 223154725894750110766574971243144163390139771940162393105041754955347231766278520420816711361364802508313487956126348038984324947834641242973668347598858608346856369543724982833282937273053533468304287 has 201 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 582Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
403e6115 / 2318CypJanuary 6, 2014 03:51:44 UTC 2014 年 1 月 6 日 (月) 12 時 51 分 44 秒 (日本時間)

58×10244+239

c234

name 名前Serge Batalov
date 日付May 27, 2014 00:18:28 UTC 2014 年 5 月 27 日 (火) 9 時 18 分 28 秒 (日本時間)
composite number 合成数
610245848889503783885256677204084368775376930553667705704874584357636094927424788386860068350484267554344927728585867842512393475603734155404662484651512809460116572961592828920994062492749554977043393551303118767240110997512955170961<234>
prime factors 素因数
193916794702546680294714988581733808956177<42>
3146946863604947551864618461528472459821244325714290404159619396335690440339579413038164915147184667196008761860135258213612981706711435142189085605069639190673776306026773131301821614597854593<193>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2138663731
Step 1 took 21689ms
Step 2 took 7259ms
********** Factor found in step 2: 193916794702546680294714988581733808956177
Found probable prime factor of 42 digits: 193916794702546680294714988581733808956177
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61890 / 2318290CypJanuary 4, 2014 05:17:11 UTC 2014 年 1 月 4 日 (土) 14 時 17 分 11 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:56:28 UTC 2014 年 1 月 9 日 (木) 13 時 56 分 28 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:22 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 22 秒 (日本時間)

58×10245+239

c134

name 名前Erik Branger
date 日付May 12, 2014 21:30:36 UTC 2014 年 5 月 13 日 (火) 6 時 30 分 36 秒 (日本時間)
composite number 合成数
33637009163572225169143820296976251097658951354275080762064952227526542476967398977824328224864822264764510375356155259273397323428959<134>
prime factors 素因数
9140462732335848628912514714497292754467998862246461022849<58>
3680011630546441169893573652545578469554291579752981458749413081206813255391<76>
factorization results 素因数分解の結果
Number: 64447_245
N = 33637009163572225169143820296976251097658951354275080762064952227526542476967398977824328224864822264764510375356155259273397323428959 (134 digits)
Divisors found:
r1=9140462732335848628912514714497292754467998862246461022849 (pp58)
r2=3680011630546441169893573652545578469554291579752981458749413081206813255391 (pp76)
Version: Msieve v. 1.51 (SVN 845)
Total time: 132.49 hours.
Factorization parameters were as follows:
# Murphy_E = 5.058e-11, selected by Erik Branger
# expecting poly E from 5.08e-011 to > 5.84e-011
n: 33637009163572225169143820296976251097658951354275080762064952227526542476967398977824328224864822264764510375356155259273397323428959
Y0: -80978127177159257038825136
Y1: 175707388778233
c0: 301437708893191262050845889425255
c1: -887134765194879710940496341
c2: -11165616302681547009395
c3: -40835738169250943
c4: 16454450644
c5: 9660
skew: 837446.46
type: gnfs
# selected mechanically
rlim: 12200000
alim: 12200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 12200000/12200000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 21178557
Relations: 2547742 relations
Pruned matrix : 1585915 x 1586140
Polynomial selection time: 0.00 hours.
Total sieving time: 129.92 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 2.16 hours.
time per square root: 0.25 hours.
Prototype def-par.txt line would be: gnfs,133,5,65,2000,1e-05,0.28,250,20,50000,3600,12200000,12200000,28,28,54,54,2.6,2.6,100000
total time: 132.49 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovNovember 19, 2013 19:20:40 UTC 2013 年 11 月 20 日 (水) 4 時 20 分 40 秒 (日本時間)
4511e61000 / 2655600Serge BatalovNovember 20, 2013 01:02:50 UTC 2013 年 11 月 20 日 (水) 10 時 2 分 50 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:22:43 UTC 2014 年 1 月 6 日 (月) 11 時 22 分 43 秒 (日本時間)
5043e6500 / 7317Ignacio SantosApril 27, 2014 22:40:24 UTC 2014 年 4 月 28 日 (月) 7 時 40 分 24 秒 (日本時間)

58×10247+239

c220

name 名前Cyp
date 日付January 24, 2014 19:48:50 UTC 2014 年 1 月 25 日 (土) 4 時 48 分 50 秒 (日本時間)
composite number 合成数
1044385912328009427153942683532320258245238853220155357028301622694423728209887119756874173957978297842990040224021066963607344312222886629181198004218822080659074078514667233426254876000302569309267146338161947070591709<220>
prime factors 素因数
7459480454264589954689348701577224677137<40>
composite cofactor 合成数の残り
140007862307747358460976166802227613500688827110639657281081458726829510423335646001275206468334699939742513485006587748089738534774762368525289715194955807644008636520504732927757<180>
factorization results 素因数分解の結果
Run 20 out of 39:
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3854630972
Step 1 took 305632ms
Step 2 took 68050ms
********** Factor found in step 2: 7459480454264589954689348701577224677137
Found probable prime factor of 40 digits: 7459480454264589954689348701577224677137
Composite cofactor 140007862307747358460976166802227613500688827110639657281081458726829510423335646001275206468334699939742513485006587748089738534774762368525289715194955807644008636520504732927757 has 180 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
403e6590290CypJanuary 6, 2014 06:48:33 UTC 2014 年 1 月 6 日 (月) 15 時 48 分 33 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:56:28 UTC 2014 年 1 月 9 日 (木) 13 時 56 分 28 秒 (日本時間)
4511e6693 / 4208393CypFebruary 18, 2014 13:20:03 UTC 2014 年 2 月 18 日 (火) 22 時 20 分 3 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:34:46 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 46 秒 (日本時間)
5043e639 / 7375CypJanuary 24, 2014 19:48:49 UTC 2014 年 1 月 25 日 (土) 4 時 48 分 49 秒 (日本時間)

58×10248+239

c218

name 名前Serge Batalov
date 日付May 27, 2014 06:09:03 UTC 2014 年 5 月 27 日 (火) 15 時 9 分 3 秒 (日本時間)
composite number 合成数
17034897245041678090594789228462011385469049315420231207332846924980452535817140217436405010428333191376842043501210822187196403001897957529428378062116360240575309084047755850989658327042093985034222126422066648609751<218>
prime factors 素因数
321679779579950909531319217119151963679<39>
52956070994844088573966122887777327948047203013859481386699005844027677774191277380882963657375281547325302318232764088337094315702148720198187106236036102165793769959166589412169<179>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=3194112244
Step 1 took 68809ms
Step 2 took 30087ms
********** Factor found in step 2: 321679779579950909531319217119151963679
Found probable prime factor of 39 digits: 321679779579950909531319217119151963679
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:26:00 UTC 2014 年 1 月 7 日 (火) 5 時 26 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2014 04:56:30 UTC 2014 年 1 月 9 日 (木) 13 時 56 分 30 秒 (日本時間)
4511e6822 / 4372522CypMarch 9, 2014 06:21:20 UTC 2014 年 3 月 9 日 (日) 15 時 21 分 20 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:34:47 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 47 秒 (日本時間)

58×10249+239

c216

composite cofactor 合成数の残り
458753026677688489998638523263660013482009327433484269920793818189498754039299020950826652960541541059751878978289943499550020468328814975604715694036616637924453399513939844486648395293014771769585019218432386246699<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62890290CypJanuary 6, 2014 06:16:46 UTC 2014 年 1 月 6 日 (月) 15 時 16 分 46 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:56:30 UTC 2014 年 1 月 9 日 (木) 13 時 56 分 30 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:23 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 23 秒 (日本時間)
1000Dmitry DomanovMay 29, 2014 10:30:26 UTC 2014 年 5 月 29 日 (木) 19 時 30 分 26 秒 (日本時間)

58×10250+239

c219

name 名前Cyp
date 日付February 18, 2014 07:29:11 UTC 2014 年 2 月 18 日 (火) 16 時 29 分 11 秒 (日本時間)
composite number 合成数
871179336230195681446306851571202140352970506388766717466734712296444685321608800381245334239086775136250832228538961895598409672846210467102490281382015506353459852776122449338761228886736043376856787641952011936001671<219>
prime factors 素因数
68032593114510917777151112121319888942457<41>
12805323101000227651440774526715556322431487033237904191487891597146112917610683296933953818177680482024395333063131478070989991701196688362226914483146923485989912290261288059903<179>
factorization results 素因数分解の結果
Run 333 out of 392:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1859569323
Step 1 took 79753ms
Step 2 took 23189ms
********** Factor found in step 2: 68032593114510917777151112121319888942457
Found probable prime factor of 41 digits: 68032593114510917777151112121319888942457
Probable prime cofactor 12805323101000227651440774526715556322431487033237904191487891597146112917610683296933953818177680482024395333063131478070989991701196688362226914483146923485989912290261288059903 has 179 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:26:01 UTC 2014 年 1 月 7 日 (火) 5 時 26 分 1 秒 (日本時間)
403e6300 / 502Serge BatalovJanuary 9, 2014 04:56:31 UTC 2014 年 1 月 9 日 (木) 13 時 56 分 31 秒 (日本時間)
4511e6333 / 4207CypFebruary 18, 2014 07:29:10 UTC 2014 年 2 月 18 日 (火) 16 時 29 分 10 秒 (日本時間)
5043e647 / 7462CypJanuary 23, 2014 11:08:55 UTC 2014 年 1 月 23 日 (木) 20 時 8 分 55 秒 (日本時間)