Table of contents 目次

8×10103+73

c94

name 名前Sinkiti Sibata
date 日付October 21, 2007 00:36:48 UTC 2007 年 10 月 21 日 (日) 9 時 36 分 48 秒 (日本時間)
composite number 合成数
4015250224910941314607779057861800657715583674522859533065478269484027075195044432297987948029<94>
prime factors 素因数
50628118279694776375171982905395943152916717<44>
79308699618830633011348707020263138933756280563537<50>
factorization results 素因数分解の結果
Number: 26669_103
N=4015250224910941314607779057861800657715583674522859533065478269484027075195044432297987948029
  ( 94 digits)
SNFS difficulty: 103 digits.
Divisors found:
 r1=50628118279694776375171982905395943152916717 (pp44)
 r2=79308699618830633011348707020263138933756280563537 (pp50)
Version: GGNFS-0.77.1-20060513-k8
Total time: 1.18 hours.
Scaled time: 2.36 units (timescale=1.995).
Factorization parameters were as follows:
name: 26669_103
n: 4015250224910941314607779057861800657715583674522859533065478269484027075195044432297987948029
m: 200000000000000000000
c5: 250
c0: 7
skew: 0.49
type: snfs
Factor base limits: 450000/500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [250000, 350001)
Primes: RFBsize:37706, AFBsize:41542, largePrimes:1391765 encountered
Relations: rels:1503988, finalFF:273193
Max relations in full relation-set: 28
Initial matrix: 79314 x 273193 with sparse part having weight 11183859.
Pruned matrix : 40266 x 40726 with weight 1829275.
Total sieving time: 1.13 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,103,5,0,0,0,0,0,0,0,0,450000,500000,25,25,44,44,2.2,2.2,20000
total time: 1.18 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

8×10104+73

c100

name 名前Sinkiti Sibata
date 日付October 21, 2007 01:59:58 UTC 2007 年 10 月 21 日 (日) 10 時 59 分 58 秒 (日本時間)
composite number 合成数
3483061436849919236512933042497703356365077084503424284775103076849396777297405554612226416408702429<100>
prime factors 素因数
733945223005884153559250475665329<33>
4745669469153279016048570235521763800475125498182552663288629329901<67>
factorization results 素因数分解の結果
Number: 26669_104
N=3483061436849919236512933042497703356365077084503424284775103076849396777297405554612226416408702429
  ( 100 digits)
SNFS difficulty: 105 digits.
Divisors found:
 r1=733945223005884153559250475665329 (pp33)
 r2=4745669469153279016048570235521763800475125498182552663288629329901 (pp67)
Version: GGNFS-0.77.1-20060513-k8
Total time: 1.96 hours.
Scaled time: 3.87 units (timescale=1.977).
Factorization parameters were as follows:
name: 26669_104
n: 3483061436849919236512933042497703356365077084503424284775103076849396777297405554612226416408702429
m: 1000000000000000000000
c5: 4
c0: 35
skew: 1.54
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 450001)
Primes: RFBsize:49098, AFBsize:64193, largePrimes:2081424 encountered
Relations: rels:2253638, finalFF:328853
Max relations in full relation-set: 28
Initial matrix: 113355 x 328853 with sparse part having weight 22829670.
Pruned matrix : 62492 x 63122 with weight 3004338.
Total sieving time: 1.88 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,105,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.96 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

8×10106+73

c102

name 名前Jo Yeong Uk
date 日付October 20, 2007 07:38:31 UTC 2007 年 10 月 20 日 (土) 16 時 38 分 31 秒 (日本時間)
composite number 合成数
684937371039135609037748610861394361253092920316098596734561083570920983912533497718302382725879502393<102>
prime factors 素因数
4246217137079532440315775172579<31>
161305309862279566253022081601447659781689908478972816016415808296252467<72>
factorization results 素因数分解の結果
Number: 26669_106
N=684937371039135609037748610861394361253092920316098596734561083570920983912533497718302382725879502393
  ( 102 digits)
SNFS difficulty: 107 digits.
Divisors found:
 r1=4246217137079532440315775172579 (pp31)
 r2=161305309862279566253022081601447659781689908478972816016415808296252467 (pp72)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.46 hours.
Scaled time: 0.97 units (timescale=2.131).
Factorization parameters were as follows:
n: 684937371039135609037748610861394361253092920316098596734561083570920983912533497718302382725879502393
m: 2000000000000000000000
c5: 5
c0: 14
skew: 1.23
type: snfs
Factor base limits: 360000/360000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [180000, 260001)
Primes: RFBsize:30757, AFBsize:30719, largePrimes:1032267 encountered
Relations: rels:965725, finalFF:100183
Max relations in full relation-set: 28
Initial matrix: 61541 x 100183 with sparse part having weight 4259001.
Pruned matrix : 47943 x 48314 with weight 1440203.
Total sieving time: 0.43 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,107,5,0,0,0,0,0,0,0,0,360000,360000,25,25,44,44,2.2,2.2,20000
total time: 0.46 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407679)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405127)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405115)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

8×10111+73

c96

name 名前Sinkiti Sibata
date 日付October 20, 2007 07:22:59 UTC 2007 年 10 月 20 日 (土) 16 時 22 分 59 秒 (日本時間)
composite number 合成数
902551859238370029090835659332155419008692464984287175991403902356426578709847092352072009801079<96>
prime factors 素因数
18106717789925267749261242702101927<35>
49846243240205443718855673321344571054539531011124970246880177<62>
factorization results 素因数分解の結果
Number: 26669_111
N=902551859238370029090835659332155419008692464984287175991403902356426578709847092352072009801079
  ( 96 digits)
SNFS difficulty: 112 digits.
Divisors found:
 r1=18106717789925267749261242702101927 (pp35)
 r2=49846243240205443718855673321344571054539531011124970246880177 (pp62)
Version: GGNFS-0.77.1-20060513-k8
Total time: 1.44 hours.
Scaled time: 2.88 units (timescale=2.004).
Factorization parameters were as follows:
name: 26669_111
n: 902551859238370029090835659332155419008692464984287175991403902356426578709847092352072009801079
m: 20000000000000000000000
c5: 5
c0: 14
skew: 1.23
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 450001)
Primes: RFBsize:49098, AFBsize:63943, largePrimes:2241963 encountered
Relations: rels:2551561, finalFF:441249
Max relations in full relation-set: 28
Initial matrix: 113106 x 441249 with sparse part having weight 35014615.
Pruned matrix : 62074 x 62703 with weight 4765126.
Total sieving time: 1.35 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,112,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.44 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

8×10114+73

c98

name 名前Jo Yeong Uk
date 日付October 20, 2007 08:20:52 UTC 2007 年 10 月 20 日 (土) 17 時 20 分 52 秒 (日本時間)
composite number 合成数
65134371441911253580479783239297921264158773495625664468264260314515100006542227915558640767809461<98>
prime factors 素因数
15049466556427553742046054404910545751<38>
4328018617649452918247261765466850080785970021940189130656211<61>
factorization results 素因数分解の結果
Number: 26669_114
N=65134371441911253580479783239297921264158773495625664468264260314515100006542227915558640767809461
  ( 98 digits)
SNFS difficulty: 115 digits.
Divisors found:
 r1=15049466556427553742046054404910545751 (pp38)
 r2=4328018617649452918247261765466850080785970021940189130656211 (pp61)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.67 hours.
Scaled time: 1.44 units (timescale=2.143).
Factorization parameters were as follows:
n: 65134371441911253580479783239297921264158773495625664468264260314515100006542227915558640767809461
m: 100000000000000000000000
c5: 4
c0: 35
skew: 1.54
type: snfs
Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [300000, 390001)
Primes: RFBsize:49098, AFBsize:49236, largePrimes:1810475 encountered
Relations: rels:1862920, finalFF:208249
Max relations in full relation-set: 28
Initial matrix: 98398 x 208249 with sparse part having weight 15809065.
Pruned matrix : 71479 x 72034 with weight 3436955.
Total sieving time: 0.63 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,115,5,0,0,0,0,0,0,0,0,600000,600000,25,25,45,45,2.4,2.4,30000
total time: 0.67 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407679)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405127)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405115)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

8×10120+73

c121

name 名前Jo Yeong Uk
date 日付October 20, 2007 04:55:35 UTC 2007 年 10 月 20 日 (土) 13 時 55 分 35 秒 (日本時間)
composite number 合成数
2666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669<121>
prime factors 素因数
1060471105842071452080239329331029536565351505210275149416401<61>
2514605680415204721631917533968366670395835407292136222935069<61>
factorization results 素因数分解の結果
Number: 26669_120
N=2666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669
  ( 121 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=1060471105842071452080239329331029536565351505210275149416401 (pp61)
 r2=2514605680415204721631917533968366670395835407292136222935069 (pp61)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.89 hours.
Scaled time: 1.88 units (timescale=2.115).
Factorization parameters were as follows:
n: 2666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669
m: 2000000000000000000000000
c5: 1
c0: 28
skew: 1.95
type: snfs
Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [300000, 450001)
Primes: RFBsize:49098, AFBsize:49156, largePrimes:1800198 encountered
Relations: rels:1786914, finalFF:141902
Max relations in full relation-set: 28
Initial matrix: 98318 x 141902 with sparse part having weight 11624596.
Pruned matrix : 86828 x 87383 with weight 5098835.
Total sieving time: 0.84 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,121,5,0,0,0,0,0,0,0,0,600000,600000,25,25,45,45,2.4,2.4,30000
total time: 0.89 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407679)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405127)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405115)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

8×10121+73

c105

name 名前Jo Yeong Uk
date 日付October 20, 2007 09:31:07 UTC 2007 年 10 月 20 日 (土) 18 時 31 分 7 秒 (日本時間)
composite number 合成数
476022604786419945107592660920030371584869577656015528481440710159671902378490644477488507224323312113009<105>
prime factors 素因数
2613842632420286549810407132723579<34>
182116015280402325835265886158642537928794970041065896876634298939239171<72>
factorization results 素因数分解の結果
Number: 26669_121
N=476022604786419945107592660920030371584869577656015528481440710159671902378490644477488507224323312113009
  ( 105 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=2613842632420286549810407132723579 (pp34)
 r2=182116015280402325835265886158642537928794970041065896876634298939239171 (pp72)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 1.03 hours.
Scaled time: 2.21 units (timescale=2.145).
Factorization parameters were as follows:
n: 476022604786419945107592660920030371584869577656015528481440710159671902378490644477488507224323312113009
m: 2000000000000000000000000
c5: 5
c0: 14
skew: 1.23
type: snfs
Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [300000, 480001)
Primes: RFBsize:49098, AFBsize:49101, largePrimes:1853503 encountered
Relations: rels:1867932, finalFF:158603
Max relations in full relation-set: 28
Initial matrix: 98264 x 158603 with sparse part having weight 13988463.
Pruned matrix : 85087 x 85642 with weight 5253077.
Total sieving time: 0.97 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,122,5,0,0,0,0,0,0,0,0,600000,600000,25,25,45,45,2.4,2.4,30000
total time: 1.03 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407679)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405127)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405115)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

8×10122+73

c121

name 名前Jo Yeong Uk
date 日付October 20, 2007 10:36:50 UTC 2007 年 10 月 20 日 (土) 19 時 36 分 50 秒 (日本時間)
composite number 合成数
3755868544600938967136150234741784037558685446009389671361502347417840375586854460093896713615023474178403755868544600939<121>
prime factors 素因数
41145387625225226433684691675373<32>
91282857238129608087362318513711416984201527885327331838828175050639169331657601989276343<89>
factorization results 素因数分解の結果
Number: 26669_122
N=3755868544600938967136150234741784037558685446009389671361502347417840375586854460093896713615023474178403755868544600939
  ( 121 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=41145387625225226433684691675373 (pp32)
 r2=91282857238129608087362318513711416984201527885327331838828175050639169331657601989276343 (pp89)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 1.01 hours.
Scaled time: 2.16 units (timescale=2.140).
Factorization parameters were as follows:
n: 3755868544600938967136150234741784037558685446009389671361502347417840375586854460093896713615023474178403755868544600939
m: 2000000000000000000000000
c5: 25
c0: 7
skew: 0.78
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [400000, 600001)
Primes: RFBsize:63951, AFBsize:63568, largePrimes:1347942 encountered
Relations: rels:1344158, finalFF:170026
Max relations in full relation-set: 28
Initial matrix: 127582 x 170026 with sparse part having weight 7333871.
Pruned matrix : 103697 x 104398 with weight 3449577.
Total sieving time: 0.96 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,122,5,0,0,0,0,0,0,0,0,800000,800000,25,25,45,45,2.2,2.2,40000
total time: 1.01 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407679)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405127)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405115)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

8×10123+73

c100

name 名前Sinkiti Sibata
date 日付October 20, 2007 09:07:11 UTC 2007 年 10 月 20 日 (土) 18 時 7 分 11 秒 (日本時間)
composite number 合成数
5723533501925381515361880891681341029181435487375163222371432533464834744116374151471404911716543169<100>
prime factors 素因数
2898545393005568842248882069535618909163031509171<49>
1974622690311058776335153117537051940589078496100539<52>
factorization results 素因数分解の結果
Number: 26669_123
N=5723533501925381515361880891681341029181435487375163222371432533464834744116374151471404911716543169
  ( 100 digits)
SNFS difficulty: 123 digits.
Divisors found:
 r1=2898545393005568842248882069535618909163031509171 (pp49)
 r2=1974622690311058776335153117537051940589078496100539 (pp52)
Version: GGNFS-0.77.1-20060513-k8
Total time: 2.84 hours.
Scaled time: 5.61 units (timescale=1.980).
Factorization parameters were as follows:
name: 26669_123
n: 5723533501925381515361880891681341029181435487375163222371432533464834744116374151471404911716543169
m: 2000000000000000000000000
c5: 250
c0: 7
skew: 0.49
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 650001)
Primes: RFBsize:49098, AFBsize:64168, largePrimes:2114570 encountered
Relations: rels:2123330, finalFF:147078
Max relations in full relation-set: 28
Initial matrix: 113332 x 147078 with sparse part having weight 13374411.
Pruned matrix : 104524 x 105154 with weight 7551198.
Total sieving time: 2.67 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,123,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.84 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

8×10128+73

c109

name 名前Sinkiti Sibata
date 日付October 20, 2007 11:39:26 UTC 2007 年 10 月 20 日 (土) 20 時 39 分 26 秒 (日本時間)
composite number 合成数
5252691442279870184066566890500076729558621086294228055364583650241045931829029287346821680267717975147126477<109>
prime factors 素因数
351941064731415296526137239470932854807364819<45>
14924917745215309816252937894497602188907340265178654448165423583<65>
factorization results 素因数分解の結果
Number: 26669_128
N=5252691442279870184066566890500076729558621086294228055364583650241045931829029287346821680267717975147126477
  ( 109 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=351941064731415296526137239470932854807364819 (pp45)
 r2=14924917745215309816252937894497602188907340265178654448165423583 (pp65)
Version: GGNFS-0.77.1-20060513-k8
Total time: 4.50 hours.
Scaled time: 8.89 units (timescale=1.977).
Factorization parameters were as follows:
name: 26669_128
n: 5252691442279870184066566890500076729558621086294228055364583650241045931829029287346821680267717975147126477
m: 20000000000000000000000000
c5: 250
c0: 7
skew: 0.49
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [400000, 950001)
Primes: RFBsize:63951, AFBsize:64168, largePrimes:1486278 encountered
Relations: rels:1489312, finalFF:175012
Max relations in full relation-set: 28
Initial matrix: 128185 x 175012 with sparse part having weight 12253287.
Pruned matrix : 114089 x 114793 with weight 6318497.
Total sieving time: 4.34 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,128,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 4.50 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

8×10129+73

c130

name 名前Jo Yeong Uk
date 日付October 20, 2007 07:08:07 UTC 2007 年 10 月 20 日 (土) 16 時 8 分 7 秒 (日本時間)
composite number 合成数
2666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669<130>
prime factors 素因数
1638212584355948805449002823879881<34>
1627790368681026216200316702373859265165289584295147399375933455475170245176591783551889658852549<97>
factorization results 素因数分解の結果
Number: 26669_129
N=2666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669
  ( 130 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=1638212584355948805449002823879881 (pp34)
 r2=1627790368681026216200316702373859265165289584295147399375933455475170245176591783551889658852549 (pp97)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 1.97 hours.
Scaled time: 4.23 units (timescale=2.142).
Factorization parameters were as follows:
n: 2666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669
m: 100000000000000000000000000
c5: 4
c0: 35
skew: 1.54
type: snfs
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [500000, 900001)
Primes: RFBsize:78498, AFBsize:78746, largePrimes:1495528 encountered
Relations: rels:1503818, finalFF:187166
Max relations in full relation-set: 28
Initial matrix: 157308 x 187166 with sparse part having weight 9227172.
Pruned matrix : 142970 x 143820 with weight 5564851.
Total sieving time: 1.90 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,130,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,46,46,2.2,2.2,50000
total time: 1.97 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407679)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405127)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405115)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

8×10130+73

c128

name 名前Sinkiti Sibata
date 日付October 20, 2007 20:01:26 UTC 2007 年 10 月 21 日 (日) 5 時 1 分 26 秒 (日本時間)
composite number 合成数
74280408542246982358402971216341689879294336118848653667595171773444753946146703806870937790157845868152274837511606313834726091<128>
prime factors 素因数
682633639211723545834566164085833<33>
108814456650602300245382079887888010720933070751698732192617045113744525935607329203942293274227<96>
factorization results 素因数分解の結果
Number: 26669_130
N=74280408542246982358402971216341689879294336118848653667595171773444753946146703806870937790157845868152274837511606313834726091
  ( 128 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=682633639211723545834566164085833 (pp33)
 r2=108814456650602300245382079887888010720933070751698732192617045113744525935607329203942293274227 (pp96)
Version: GGNFS-0.77.1-20060513-k8
Total time: 3.74 hours.
Scaled time: 7.43 units (timescale=1.987).
Factorization parameters were as follows:
name: 26669_130
n: 74280408542246982358402971216341689879294336118848653667595171773444753946146703806870937790157845868152274837511606313834726091
m: 100000000000000000000000000
c5: 8
c0: 7
skew: 0.97
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [400000, 850001)
Primes: RFBsize:63951, AFBsize:64073, largePrimes:1455357 encountered
Relations: rels:1452260, finalFF:170662
Max relations in full relation-set: 28
Initial matrix: 128089 x 170662 with sparse part having weight 10762332.
Pruned matrix : 114592 x 115296 with weight 5636879.
Total sieving time: 3.59 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,130,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 3.74 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

8×10133+73

c113

name 名前Sinkiti Sibata
date 日付October 20, 2007 23:47:47 UTC 2007 年 10 月 21 日 (日) 8 時 47 分 47 秒 (日本時間)
composite number 合成数
29014178612908736597074844178599916279879417120217498603765526981626610191279580281530698625258572423340334414729<113>
prime factors 素因数
133271547249140168413145147446888048704353<42>
217707224173432323868406589757746873580273750494054826756936569259268393<72>
factorization results 素因数分解の結果
Number: 26669_133
N=29014178612908736597074844178599916279879417120217498603765526981626610191279580281530698625258572423340334414729
  ( 113 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=133271547249140168413145147446888048704353 (pp42)
 r2=217707224173432323868406589757746873580273750494054826756936569259268393 (pp72)
Version: GGNFS-0.77.1-20060513-k8
Total time: 6.92 hours.
Scaled time: 13.77 units (timescale=1.988).
Factorization parameters were as follows:
name: 26669_133
n: 29014178612908736597074844178599916279879417120217498603765526981626610191279580281530698625258572423340334414729
m: 200000000000000000000000000
c5: 250
c0: 7
skew: 0.49
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 1225001)
Primes: RFBsize:78498, AFBsize:64168, largePrimes:1593511 encountered
Relations: rels:1626248, finalFF:203055
Max relations in full relation-set: 28
Initial matrix: 142732 x 203055 with sparse part having weight 17060245.
Pruned matrix : 124557 x 125334 with weight 8832672.
Total sieving time: 6.72 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,133,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 6.92 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

8×10134+73

c118

name 名前Sinkiti Sibata
date 日付October 21, 2007 05:19:17 UTC 2007 年 10 月 21 日 (日) 14 時 19 分 17 秒 (日本時間)
composite number 合成数
1420524158523955469338558698249232537056327868898328355704847871904688048016727899141317771917491175737048611605351499<118>
prime factors 素因数
37620956682884538589371868827603031738343<41>
37758852612331776616795032844299692308607656131997210191374930427924942519293<77>
factorization results 素因数分解の結果
Number: 26669_134
N=1420524158523955469338558698249232537056327868898328355704847871904688048016727899141317771917491175737048611605351499
  ( 118 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=37620956682884538589371868827603031738343 (pp41)
 r2=37758852612331776616795032844299692308607656131997210191374930427924942519293 (pp77)
Version: GGNFS-0.77.1-20060513-k8
Total time: 5.82 hours.
Scaled time: 11.68 units (timescale=2.007).
Factorization parameters were as follows:
name: 26669_134
n: 1420524158523955469338558698249232537056327868898328355704847871904688048016727899141317771917491175737048611605351499
m: 1000000000000000000000000000
c5: 4
c0: 35
skew: 1.54
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 1075001)
Primes: RFBsize:78498, AFBsize:64193, largePrimes:1541556 encountered
Relations: rels:1560889, finalFF:192289
Max relations in full relation-set: 28
Initial matrix: 142755 x 192289 with sparse part having weight 14621950.
Pruned matrix : 126409 x 127186 with weight 7901050.
Total sieving time: 5.64 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,135,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 5.82 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

8×10136+73

c137

name 名前Jo Yeong Uk
date 日付October 20, 2007 11:09:11 UTC 2007 年 10 月 20 日 (土) 20 時 9 分 11 秒 (日本時間)
composite number 合成数
26666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669<137>
prime factors 素因数
5964796989232317289442216128587619639536748687234582636411<58>
4470674645726497105263584854203238916337233478995531171674915681021609495628279<79>
factorization results 素因数分解の結果
Number: 26669_136
N=26666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669
  ( 137 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=5964796989232317289442216128587619639536748687234582636411 (pp58)
 r2=4470674645726497105263584854203238916337233478995531171674915681021609495628279 (pp79)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 3.34 hours.
Scaled time: 7.05 units (timescale=2.115).
Factorization parameters were as follows:
n: 26666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669
m: 2000000000000000000000000000
c5: 5
c0: 14
skew: 1.23
type: snfs
Factor base limits: 1400000/1400000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 47/47
Sieved algebraic special-q in [700000, 1300001)
Primes: RFBsize:107126, AFBsize:107483, largePrimes:2282771 encountered
Relations: rels:2388130, finalFF:269548
Max relations in full relation-set: 28
Initial matrix: 214674 x 269548 with sparse part having weight 20402502.
Pruned matrix : 193656 x 194793 with weight 11687881.
Total sieving time: 3.16 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,137,5,0,0,0,0,0,0,0,0,1400000,1400000,25,25,47,47,2.3,2.3,50000
total time: 3.34 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407679)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405127)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405115)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

8×10137+73

c107

name 名前Jo Yeong Uk
date 日付October 20, 2007 14:44:15 UTC 2007 年 10 月 20 日 (土) 23 時 44 分 15 秒 (日本時間)
composite number 合成数
22851869452421705492448224919086710644084493570019228618031253647076457659430866698743479971878791015391207<107>
prime factors 素因数
225827415705440762247969188163076931<36>
101191741405873712462631199841067741763362688081142783407044807587961997<72>
factorization results 素因数分解の結果
Number: 26669_137
N=22851869452421705492448224919086710644084493570019228618031253647076457659430866698743479971878791015391207
  ( 107 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=225827415705440762247969188163076931 (pp36)
 r2=101191741405873712462631199841067741763362688081142783407044807587961997 (pp72)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 3.05 hours.
Scaled time: 6.48 units (timescale=2.122).
Factorization parameters were as follows:
n: 22851869452421705492448224919086710644084493570019228618031253647076457659430866698743479971878791015391207
m: 2000000000000000000000000000
c5: 25
c0: 7
skew: 0.78
type: snfs
Factor base limits: 1400000/1400000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 47/47
Sieved algebraic special-q in [700000, 1250001)
Primes: RFBsize:107126, AFBsize:106423, largePrimes:2289110 encountered
Relations: rels:2432530, finalFF:305349
Max relations in full relation-set: 28
Initial matrix: 213613 x 305349 with sparse part having weight 22381011.
Pruned matrix : 177541 x 178673 with weight 10158100.
Total sieving time: 2.91 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,137,5,0,0,0,0,0,0,0,0,1400000,1400000,25,25,47,47,2.3,2.3,50000
total time: 3.05 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407679)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405127)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405115)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

8×10139+73

c108

name 名前Jo Yeong Uk
date 日付October 21, 2007 01:55:41 UTC 2007 年 10 月 21 日 (日) 10 時 55 分 41 秒 (日本時間)
composite number 合成数
549382863160814110758042194456932311882676877376245309068323886591250711707365842143014691420858830013214941<108>
prime factors 素因数
1241873230306512944129120625376444423573<40>
442382402449578672496474001239726150208458221956431612701743308645417<69>
factorization results 素因数分解の結果
Number: 26669_139
N=549382863160814110758042194456932311882676877376245309068323886591250711707365842143014691420858830013214941
  ( 108 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=1241873230306512944129120625376444423573 (pp40)
 r2=442382402449578672496474001239726150208458221956431612701743308645417 (pp69)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 5.56 hours.
Scaled time: 11.90 units (timescale=2.140).
Factorization parameters were as follows:
n: 549382863160814110758042194456932311882676877376245309068323886591250711707365842143014691420858830013214941
m: 10000000000000000000000000000
c5: 4
c0: 35
skew: 1.54
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved algebraic special-q in [750000, 1100001)
Primes: RFBsize:114155, AFBsize:114442, largePrimes:3315311 encountered
Relations: rels:3411950, finalFF:393858
Max relations in full relation-set: 28
Initial matrix: 228661 x 393858 with sparse part having weight 33230335.
Pruned matrix : 169036 x 170243 with weight 12385404.
Total sieving time: 5.40 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,140,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,47,47,2.3,2.3,50000
total time: 5.56 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407679)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405127)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405115)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

8×10141+73

c104

name 名前Jo Yeong Uk
date 日付October 21, 2007 01:57:02 UTC 2007 年 10 月 21 日 (日) 10 時 57 分 2 秒 (日本時間)
composite number 合成数
10173263173812758517105524274113209930018018460702750505221307224574470950799246504255661100980128041123<104>
prime factors 素因数
502212812269744236328154953897511547463<39>
20256877015611825323436706422598519488570631957881652952297498821<65>
factorization results 素因数分解の結果
Number: 26669_141
N=10173263173812758517105524274113209930018018460702750505221307224574470950799246504255661100980128041123
  ( 104 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=502212812269744236328154953897511547463 (pp39)
 r2=20256877015611825323436706422598519488570631957881652952297498821 (pp65)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 6.21 hours.
Scaled time: 13.22 units (timescale=2.127).
Factorization parameters were as follows:
n: 10173263173812758517105524274113209930018018460702750505221307224574470950799246504255661100980128041123
m: 20000000000000000000000000000
c5: 5
c0: 14
skew: 1.23
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved algebraic special-q in [750000, 1150001)
Primes: RFBsize:114155, AFBsize:114392, largePrimes:3261056 encountered
Relations: rels:3266559, finalFF:311634
Max relations in full relation-set: 28
Initial matrix: 228612 x 311634 with sparse part having weight 26294993.
Pruned matrix : 196110 x 197317 with weight 13252279.
Total sieving time: 6.01 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,142,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,47,47,2.3,2.3,50000
total time: 6.21 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407679)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405127)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405115)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

8×10142+73

c118

name 名前Sinkiti Sibata
date 日付October 21, 2007 10:55:31 UTC 2007 年 10 月 21 日 (日) 19 時 55 分 31 秒 (日本時間)
composite number 合成数
2077811730814442779423909735030670832942412279493881032584070517296902178699768133028182972994685705973158369638645129<118>
prime factors 素因数
9788973638568650061780766529522450169529<40>
212260427653808834797575069001986356489959724932965465429439372027648665816401<78>
factorization results 素因数分解の結果
Number: 26669_142
N=2077811730814442779423909735030670832942412279493881032584070517296902178699768133028182972994685705973158369638645129
  ( 118 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=9788973638568650061780766529522450169529 (pp40)
 r2=212260427653808834797575069001986356489959724932965465429439372027648665816401 (pp78)
Version: GGNFS-0.77.1-20060513-k8
Total time: 10.11 hours.
Scaled time: 20.14 units (timescale=1.992).
Factorization parameters were as follows:
name: 26669_142
n: 2077811730814442779423909735030670832942412279493881032584070517296902178699768133028182972994685705973158369638645129
m: 20000000000000000000000000000
c5: 25
c0: 7
skew: 0.78
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [650000, 1750001)
Primes: RFBsize:100021, AFBsize:99418, largePrimes:2798512 encountered
Relations: rels:2847765, finalFF:330698
Max relations in full relation-set: 28
Initial matrix: 199503 x 330698 with sparse part having weight 30315932.
Pruned matrix : 162985 x 164046 with weight 13847017.
Total sieving time: 9.75 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.21 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,142,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 10.11 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

8×10143+73

c121

name 名前Sinkiti Sibata
date 日付October 22, 2007 08:04:19 UTC 2007 年 10 月 22 日 (月) 17 時 4 分 19 秒 (日本時間)
composite number 合成数
7146794851779914387843228963979571845388741890295760803609820465560862056129003230767892770563281325758005179009183132111<121>
prime factors 素因数
20021116406067209554446200468334668005750140859<47>
356962853960238997946851914156890231498548267914175830313090442617598040829<75>
factorization results 素因数分解の結果
Number: 26669_143
N=7146794851779914387843228963979571845388741890295760803609820465560862056129003230767892770563281325758005179009183132111
  ( 121 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=20021116406067209554446200468334668005750140859 (pp47)
 r2=356962853960238997946851914156890231498548267914175830313090442617598040829 (pp75)
Version: GGNFS-0.77.1-20060513-k8
Total time: 17.14 hours.
Scaled time: 34.23 units (timescale=1.997).
Factorization parameters were as follows:
nama: 26669_143
n: 7146794851779914387843228963979571845388741890295760803609820465560862056129003230767892770563281325758005179009183132111
m: 20000000000000000000000000000
c5: 250
c0: 7
skew: 0.49
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [650000, 2550001)
Primes: RFBsize:100021, AFBsize:100373, largePrimes:2900939 encountered
Relations: rels:2943333, finalFF:278741
Max relations in full relation-set: 28
Initial matrix: 200460 x 278741 with sparse part having weight 32014645.
Pruned matrix : 180795 x 181861 with weight 19476116.
Total sieving time: 16.50 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.43 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,143,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 17.14 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

8×10146+73

c138

name 名前Sinkiti Sibata
date 日付October 22, 2007 22:31:00 UTC 2007 年 10 月 23 日 (火) 7 時 31 分 0 秒 (日本時間)
composite number 合成数
123048574824435673891693992129047484472249246906461197560099895182809596923866349254192982509723148032649543343582622844440699543102045961<138>
prime factors 素因数
4143397241869544226241437570296544113990642586158773224155313511<64>
29697508503653602939343659106341885529158177653874575739404674525553127951<74>
factorization results 素因数分解の結果
Number: 26669_146
N=123048574824435673891693992129047484472249246906461197560099895182809596923866349254192982509723148032649543343582622844440699543102045961
  ( 138 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=4143397241869544226241437570296544113990642586158773224155313511 (pp64)
 r2=29697508503653602939343659106341885529158177653874575739404674525553127951 (pp74)
Version: GGNFS-0.77.1-20060513-k8
Total time: 19.70 hours.
Scaled time: 39.37 units (timescale=1.998).
Factorization parameters were as follows:
name: 26669_146
n: 123048574824435673891693992129047484472249246906461197560099895182809596923866349254192982509723148032649543343582622844440699543102045961
m: 200000000000000000000000000000
c5: 5
c0: 14
skew: 1.23
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [750000, 2850001)
Primes: RFBsize:114155, AFBsize:114392, largePrimes:2877121 encountered
Relations: rels:2886374, finalFF:288594
Max relations in full relation-set: 28
Initial matrix: 228612 x 288594 with sparse part having weight 30123579.
Pruned matrix : 210472 x 211679 with weight 20270448.
Total sieving time: 18.98 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.51 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,147,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 19.70 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

8×10150+73

c134

name 名前Sinkiti Sibata
date 日付October 21, 2007 22:38:39 UTC 2007 年 10 月 22 日 (月) 7 時 38 分 39 秒 (日本時間)
composite number 合成数
33091585037728817063066885723269305783539863851825906597312108108442540229578000079303679297783978010391230631520577621957205438089831<134>
prime factors 素因数
3153611510488812690844381411841100171038865591531757<52>
10493234479791580568317662070396265616908097303633122206670593944661297064473922083<83>
factorization results 素因数分解の結果
Number: 26669_150
N=33091585037728817063066885723269305783539863851825906597312108108442540229578000079303679297783978010391230631520577621957205438089831
  ( 134 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=3153611510488812690844381411841100171038865591531757 (pp52)
 r2=10493234479791580568317662070396265616908097303633122206670593944661297064473922083 (pp83)
Version: GGNFS-0.77.1-20060513-k8
Total time: 21.11 hours.
Scaled time: 42.22 units (timescale=2.000).
Factorization parameters were as follows:
name: 26669_150
n: 33091585037728817063066885723269305783539863851825906597312108108442540229578000079303679297783978010391230631520577621957205438089831
m: 1000000000000000000000000000000
c5: 8
c0: 7
skew: 0.97
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 1900001)
Primes: RFBsize:176302, AFBsize:176343, largePrimes:5664697 encountered
Relations: rels:5756890, finalFF:642726
Max relations in full relation-set: 28
Initial matrix: 352710 x 642726 with sparse part having weight 56826393.
Pruned matrix : 241016 x 242843 with weight 25378288.
Total sieving time: 20.10 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.75 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 21.11 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

8×10151+73

c104

name 名前Jo Yeong Uk
date 日付October 21, 2007 08:10:12 UTC 2007 年 10 月 21 日 (日) 17 時 10 分 12 秒 (日本時間)
composite number 合成数
86733677509128161765261668212148242470942103656896529718188268435982587405152137619461718298337699610533<104>
prime factors 素因数
2151824979439633304570135127360335431<37>
40307031630293129082698941368209006104445744505208908458146567077043<68>
factorization results 素因数分解の結果
Number: 26669_151
N=86733677509128161765261668212148242470942103656896529718188268435982587405152137619461718298337699610533
  ( 104 digits)
Divisors found:
 r1=2151824979439633304570135127360335431 (pp37)
 r2=40307031630293129082698941368209006104445744505208908458146567077043 (pp68)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 5.74 hours.
Scaled time: 12.28 units (timescale=2.138).
Factorization parameters were as follows:
name: 26669_151
n: 86733677509128161765261668212148242470942103656896529718188268435982587405152137619461718298337699610533
skew: 11778.21
# norm 6.95e+14
c5: 62160
c4: 1496130332
c3: -45556222412128
c2: -74626143902162469
c1: 113505084408824096690
c0: -1919290235623806504596725
# alpha -6.68
Y1: 4648483103
Y0: -67442740130436131592
# Murphy_E 2.11e-09
# M 56184838726415761082613399246235419642783909465629485767916514734753284656665661743230574578593360749961
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 60000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [900000, 1620001)
Primes: RFBsize:135072, AFBsize:135343, largePrimes:4346551 encountered
Relations: rels:4257071, finalFF:317428
Max relations in full relation-set: 28
Initial matrix: 270499 x 317428 with sparse part having weight 25317400.
Pruned matrix : 238627 x 240043 with weight 16192467.
Polynomial selection time: 0.39 hours.
Total sieving time: 5.00 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.21 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
gnfs,103,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,49,49,2.6,2.6,60000
total time: 5.74 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407679)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405127)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405115)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

8×10152+73

c151

name 名前Robert Backstrom
date 日付October 24, 2007 05:19:14 UTC 2007 年 10 月 24 日 (水) 14 時 19 分 14 秒 (日本時間)
composite number 合成数
4371584699453551912568306010928961748633879781420765027322404371584699453551912568306010928961748633879781420765027322404371584699453551912568306010929<151>
prime factors 素因数
421869844046731851658147807645650077819<39>
10362401487434351205807812414291785916154078462280535061673815273435490140412383670255796593884378838685001402691<113>
factorization results 素因数分解の結果
Number: n
N=4371584699453551912568306010928961748633879781420765027322404371584699453551912568306010928961748633879781420765027322404371584699453551912568306010929
  ( 151 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=421869844046731851658147807645650077819 (pp39)
 r2=10362401487434351205807812414291785916154078462280535061673815273435490140412383670255796593884378838685001402691 (pp113)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 16.95 hours.
Scaled time: 22.10 units (timescale=1.304).
Factorization parameters were as follows:
name: KA_2_6_151_9
n: 4371584699453551912568306010928961748633879781420765027322404371584699453551912568306010928961748633879781420765027322404371584699453551912568306010929
skew: 0.78
deg: 5
c5: 25
c0: 7
m: 2000000000000000000000000000000
type: snfs
rlim: 2800000
alim: 2800000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 750001)
Primes: RFBsize:203362, AFBsize:203182, largePrimes:6399966 encountered
Relations: rels:5939023, finalFF:511751
Max relations in full relation-set: 28
Initial matrix: 406608 x 511751 with sparse part having weight 27504928.
Pruned matrix : 311614 x 313711 with weight 13508229.
Total sieving time: 15.13 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.56 hours.
Total square root time: 0.09 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,2800000,2800000,28,28,48,48,2.5,2.5,100000
total time: 16.95 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

8×10154+73

c108

name 名前Jo Yeong Uk
date 日付October 22, 2007 00:16:01 UTC 2007 年 10 月 22 日 (月) 9 時 16 分 1 秒 (日本時間)
composite number 合成数
599017389534088974031064754543587991849505713299448734373260781981910865693172098475924868395465908007539473<108>
prime factors 素因数
63976167233321490585818587278762619<35>
9363133420441845598841194850047950471022696892436041111098985547200676067<73>
factorization results 素因数分解の結果
Number: 26669_154
N=599017389534088974031064754543587991849505713299448734373260781981910865693172098475924868395465908007539473
  ( 108 digits)
Divisors found:
 r1=63976167233321490585818587278762619 (pp35)
 r2=9363133420441845598841194850047950471022696892436041111098985547200676067 (pp73)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 10.65 hours.
Scaled time: 22.83 units (timescale=2.144).
Factorization parameters were as follows:
name: 26669_154
n: 599017389534088974031064754543587991849505713299448734373260781981910865693172098475924868395465908007539473
skew: 21354.62
# norm 6.78e+14
c5: 32400
c4: 104238510
c3: -63159803819065
c2: 42231149150739894
c1: 10386860579266260178521
c0: 1573011234854712440644311
# alpha -5.93
Y1: 268163654693
Y0: -450172247251438281950
# Murphy_E 1.31e-09
# M 353372238522770296188352642033280019967747150736232710020604793608863613888916745569090484185353683588909139
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 60000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [900000, 1440001)
Primes: RFBsize:135072, AFBsize:135004, largePrimes:4543413 encountered
Relations: rels:4565506, finalFF:355041
Max relations in full relation-set: 28
Initial matrix: 270157 x 355041 with sparse part having weight 33355043.
Pruned matrix : 221309 x 222723 with weight 18208925.
Polynomial selection time: 0.60 hours.
Total sieving time: 9.69 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.21 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
gnfs,107,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,49,49,2.6,2.6,60000
total time: 10.65 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407679)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405127)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405115)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

8×10157+73

c133

name 名前Jo Yeong Uk
date 日付October 22, 2007 05:15:34 UTC 2007 年 10 月 22 日 (月) 14 時 15 分 34 秒 (日本時間)
composite number 合成数
1072121727522171991711117449162947893294510889614725272405934873471024006838246193709580176818241416588454805181432061281055284514659<133>
prime factors 素因数
272730925941823417805548362043843409679870198107<48>
3931060343889521523931450002903303012283257053146040409429479768292617881055891882137<85>
factorization results 素因数分解の結果
Number: 26669_157
N=1072121727522171991711117449162947893294510889614725272405934873471024006838246193709580176818241416588454805181432061281055284514659
  ( 133 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=272730925941823417805548362043843409679870198107 (pp48)
 r2=3931060343889521523931450002903303012283257053146040409429479768292617881055891882137 (pp85)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 19.84 hours.
Scaled time: 42.45 units (timescale=2.140).
Factorization parameters were as follows:
n: 1072121727522171991711117449162947893294510889614725272405934873471024006838246193709580176818241416588454805181432061281055284514659
m: 20000000000000000000000000000000
c5: 25
c0: 7
skew: 0.78
type: snfs
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1500000, 2700001)
Primes: RFBsize:216816, AFBsize:216906, largePrimes:5656803 encountered
Relations: rels:5671985, finalFF:600758
Max relations in full relation-set: 28
Initial matrix: 433786 x 600758 with sparse part having weight 46380712.
Pruned matrix : 331528 x 333760 with weight 28777533.
Total sieving time: 19.11 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.61 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 19.84 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407679)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405127)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405115)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

8×10158+73

c144

name 名前Sinkiti Sibata
date 日付October 24, 2007 06:21:54 UTC 2007 年 10 月 24 日 (水) 15 時 21 分 54 秒 (日本時間)
composite number 合成数
587412791499445703414789501643028537938176365461039166386707531445737063824203352653873977007985725071863227998012464875392047576593221164428833<144>
prime factors 素因数
77025991204399032295102167879033530984020107406191788251<56>
7626163354920877208117873161490105884353828530163763489424107667430447229492870343004083<88>
factorization results 素因数分解の結果
Number: 26669_158
N=587412791499445703414789501643028537938176365461039166386707531445737063824203352653873977007985725071863227998012464875392047576593221164428833
  ( 144 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=77025991204399032295102167879033530984020107406191788251 (pp56)
 r2=7626163354920877208117873161490105884353828530163763489424107667430447229492870343004083 (pp88)
Version: GGNFS-0.77.1-20060513-k8
Total time: 59.71 hours.
Scaled time: 118.95 units (timescale=1.992).
Factorization parameters were as follows:
name: 26669_158
n: 587412791499445703414789501643028537938176365461039166386707531445737063824203352653873977007985725071863227998012464875392047576593221164428833
m: 20000000000000000000000000000000
c5: 250
c0: 7
skew: 0.49
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 3900001)
Primes: RFBsize:283146, AFBsize:284107, largePrimes:5971981 encountered
Relations: rels:6202849, finalFF:822675
Max relations in full relation-set: 28
Initial matrix: 567319 x 822675 with sparse part having weight 58139262.
Pruned matrix : 388038 x 390938 with weight 44121525.
Total sieving time: 56.94 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 2.38 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 59.71 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

8×10160+73

c156

name 名前Robert Backstrom
date 日付October 23, 2007 13:23:35 UTC 2007 年 10 月 23 日 (火) 22 時 23 分 35 秒 (日本時間)
composite number 合成数
535013275016886356492720475626801490011970922028502832226524620642149683339017849380387750871068488386868099164710524379886175925740157427656173718810397983<156>
prime factors 素因数
8206529381083043352109674031409945933677801693490815409442456291123149<70>
65193609889480326298653585942015762338033823753726962763716880835878142163048859303067<86>
factorization results 素因数分解の結果
Number: n
N=535013275016886356492720475626801490011970922028502832226524620642149683339017849380387750871068488386868099164710524379886175925740157427656173718810397983
  ( 156 digits)
SNFS difficulty: 161 digits.
Divisors found:

Tue Oct 23 23:09:38 2007  prp70 factor: 8206529381083043352109674031409945933677801693490815409442456291123149
Tue Oct 23 23:09:38 2007  prp86 factor: 65193609889480326298653585942015762338033823753726962763716880835878142163048859303067
Tue Oct 23 23:09:38 2007  elapsed time 01:04:53 (Msieve 1.28)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 36.34 hours.
Scaled time: 52.83 units (timescale=1.454).
Factorization parameters were as follows:
name: KA_2_6_159_9
n: 535013275016886356492720475626801490011970922028502832226524620642149683339017849380387750871068488386868099164710524379886175925740157427656173718810397983
skew: 1.95
deg: 5
c5: 1
c0: 28
m: 200000000000000000000000000000000
type: snfs
rlim: 2800000
alim: 2800000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 1800000)
Primes: RFBsize:203362, AFBsize:203227, largePrimes:7259162 encountered
Relations: rels:6779635, finalFF:504684
Max relations in full relation-set: 28
Initial matrix: 406653 x 504684 with sparse part having weight 41751576.
Pruned matrix : 337714 x 339811 with weight 26445618.
Total sieving time: 36.12 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,2800000,2800000,28,28,48,48,2.5,2.5,100000
total time: 36.34 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

8×10162+73

c158

name 名前Robert Backstrom
date 日付October 21, 2007 22:53:44 UTC 2007 年 10 月 22 日 (月) 7 時 53 分 44 秒 (日本時間)
composite number 合成数
47969395525654632344564168060777224131004419180562800933004742973982599101773068782117009348035953061946478146942250843961552529486187812175831819299287054859<158>
prime factors 素因数
13758431094795674099921153836784941879<38>
3486545464024582803252161746345501308393073883180459970373351716778246003294776444321266822336985947908508412928696412621<121>
factorization results 素因数分解の結果
GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 47969395525654632344564168060777224131004419180562800933004742973982599101773068782117009348035953061946478146942250843961552529486187812175831819299287054859 (158 digits)
Using B1=1027000, B2=872031860, polynomial Dickson(3), sigma=2118840947
Step 1 took 17905ms
Step 2 took 9344ms
********** Factor found in step 2: 13758431094795674099921153836784941879
Found probable prime factor of 38 digits: 13758431094795674099921153836784941879
Probable prime cofactor 3486545464024582803252161746345501308393073883180459970373351716778246003294776444321266822336985947908508412928696412621 has 121 digits

8×10163+73

c119

name 名前Sinkiti Sibata
date 日付October 26, 2007 05:23:17 UTC 2007 年 10 月 26 日 (金) 14 時 23 分 17 秒 (日本時間)
composite number 合成数
76040575830655542110535543314902372731075646666123180911982484874925096768258162409352851616275001258339376508641632961<119>
prime factors 素因数
16241366780245493793149978382913<32>
4681907431777497416749516436722604837221873429043948077027598629819267084782903500320897<88>
factorization results 素因数分解の結果

Number: 26669_163
N=76040575830655542110535543314902372731075646666123180911982484874925096768258162409352851616275001258339376508641632961
  ( 119 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=16241366780245493793149978382913 (pp32)
 r2=4681907431777497416749516436722604837221873429043948077027598629819267084782903500320897 (pp88)
Version: GGNFS-0.77.1-20060513-k8
Total time: 89.67 hours.
Scaled time: 179.08 units (timescale=1.997).
Factorization parameters were as follows:
name: 26669_163
n: 76040575830655542110535543314902372731075646666123180911982484874925096768258162409352851616275001258339376508641632961
m: 200000000000000000000000000000000
c5: 250
c0: 7
skew: 0.49
type: snfs
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2250000, 5150001)
Primes: RFBsize:315948, AFBsize:316791, largePrimes:5926048 encountered
Relations: rels:6075527, finalFF:765961
Max relations in full relation-set: 28
Initial matrix: 632805 x 765961 with sparse part having weight 56904865.
Pruned matrix : 534793 x 538021 with weight 40888773.
Total sieving time: 85.28 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 3.92 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,48,48,2.3,2.3,100000
total time: 89.67 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

8×10165+73

c109

name 名前Jo Yeong Uk
date 日付October 22, 2007 21:42:28 UTC 2007 年 10 月 23 日 (火) 6 時 42 分 28 秒 (日本時間)
composite number 合成数
6683621898604490720408773048442746311375034340493821379268599844292684440397247763706382879797337575415946579<109>
prime factors 素因数
161800001655869356136898432615667<33>
226209579099872731684276944664364189<36>
182609076402191723318653867302508477992533<42>
factorization results 素因数分解の結果
Number: 26669_165
N=6683621898604490720408773048442746311375034340493821379268599844292684440397247763706382879797337575415946579
  ( 109 digits)
Divisors found:
 r1=161800001655869356136898432615667 (pp33)
 r2=226209579099872731684276944664364189 (pp36)
 r3=182609076402191723318653867302508477992533 (pp42)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 14.55 hours.
Scaled time: 30.77 units (timescale=2.114).
Factorization parameters were as follows:
name: 26669_165
n: 6683621898604490720408773048442746311375034340493821379268599844292684440397247763706382879797337575415946579
skew: 30844.34
# norm 3.88e+15
c5: 32640
c4: -6377134016
c3: 10966983900756
c2: 6023277967525827220
c1: 20338186144994372135593
c0: -322736910701913843682752030
# alpha -6.58
Y1: 391238345143
Y0: -728218088733067565453
# Murphy_E 1.05e-09
# M 2458195276530130644457672644483945265068481024582090432931298737948038172243268879673145326804447368387365992
type: gnfs
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 60000
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1200000, 1920001)
Primes: RFBsize:176302, AFBsize:175803, largePrimes:7512919 encountered
Relations: rels:7327983, finalFF:490794
Max relations in full relation-set: 28
Initial matrix: 352190 x 490794 with sparse part having weight 47989971.
Pruned matrix : 258659 x 260483 with weight 27043110.
Polynomial selection time: 0.68 hours.
Total sieving time: 13.24 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.38 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2400000,2400000,27,27,50,50,2.6,2.6,60000
total time: 14.55 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407679)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405127)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405115)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

8×10167+73

c167

name 名前Robert Backstrom
date 日付October 25, 2007 14:59:48 UTC 2007 年 10 月 25 日 (木) 23 時 59 分 48 秒 (日本時間)
composite number 合成数
20512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820513<167>
prime factors 素因数
13118854935330807737302880871625861715191<41>
1563613639600265717122264555652120246875230542463041437585843162802180545583168901897596747095254252168082117302855188658610343<127>
factorization results 素因数分解の結果
Number: n
N=20512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820513
  ( 167 digits)
SNFS difficulty: 167 digits.
Divisors found:

Fri Oct 26 00:52:24 2007  prp41 factor: 13118854935330807737302880871625861715191
Fri Oct 26 00:52:24 2007  prp127 factor: 1563613639600265717122264555652120246875230542463041437585843162802180545583168901897596747095254252168082117302855188658610343
Fri Oct 26 00:52:24 2007  elapsed time 02:20:14 (Msieve 1.28)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 68.58 hours.
Scaled time: 82.23 units (timescale=1.199).
Factorization parameters were as follows:
name: KA_2_6_166_9
n: 20512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820513
type: snfs
skew: 0.78
deg: 5
c5: 25
c0: 7
m: 2000000000000000000000000000000000
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2800001)
Primes: RFBsize:250150, AFBsize:250196, largePrimes:7501352 encountered
Relations: rels:7006091, finalFF:549114
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 68.27 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.6,2.6,100000
total time: 68.58 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

8×10169+73

c158

name 名前Sinkiti Sibata
date 日付October 30, 2007 05:27:56 UTC 2007 年 10 月 30 日 (火) 14 時 27 分 56 秒 (日本時間)
composite number 合成数
14323494981331534264770233164626933360731902226623376107836718853298476108817106742366885509525113696497209270753439876022351249265426627408162506926892141827<158>
prime factors 素因数
662045957785193703483721009542997210001<39>
21635197395131458368660666363246008064391683714979718942359200843611409545192525720721351020928312546549349492289471827<119>
factorization results 素因数分解の結果
Number: 26669_169
N=14323494981331534264770233164626933360731902226623376107836718853298476108817106742366885509525113696497209270753439876022351249265426627408162506926892141827
  ( 158 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=662045957785193703483721009542997210001 (pp39)
 r2=21635197395131458368660666363246008064391683714979718942359200843611409545192525720721351020928312546549349492289471827 (pp119)
Version: GGNFS-0.77.1-20060513-k8
Total time: 139.76 hours.
Scaled time: 279.94 units (timescale=2.003).
Factorization parameters were as follows:
name: 26669_169
n: 14323494981331534264770233164626933360731902226623376107836718853298476108817106742366885509525113696497209270753439876022351249265426627408162506926892141827
m: 10000000000000000000000000000000000
c5: 4
c0: 35
skew: 1.54
type: snfs
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3000000, 7100001)
Primes: RFBsize:412849, AFBsize:412831, largePrimes:6055936 encountered
Relations: rels:6345700, finalFF:951274
Max relations in full relation-set: 28
Initial matrix: 825744 x 951274 with sparse part having weight 56560583.
Pruned matrix : 721298 x 725490 with weight 40805496.
Total sieving time: 133.63 hours.
Total relation processing time: 0.31 hours.
Matrix solve time: 5.58 hours.
Time per square root: 0.24 hours.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,48,48,2.6,2.6,100000
total time: 139.76 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

8×10173+73

c162

name 名前Serge Batalov
date 日付November 5, 2008 18:41:59 UTC 2008 年 11 月 6 日 (木) 3 時 41 分 59 秒 (日本時間)
composite number 合成数
158061324549139851209881000137957958908466176625143650125935232571582776824866705772982079747177766026516809926412204131385899417709255574554361914986549440999267<162>
prime factors 素因数
42814776790459658722187417517510814215270667144107978173935095857975270761<74>
3691747018154731514901278255388629875677249064619370992864317356367999540966374768013547<88>
factorization results 素因数分解の結果
SNFS difficulty: 173 digits.
Divisors found:
 r1=42814776790459658722187417517510814215270667144107978173935095857975270761
 r2=3691747018154731514901278255388629875677249064619370992864317356367999540966374768013547
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.950).
Factorization parameters were as follows:
n: 158061324549139851209881000137957958908466176625143650125935232571582776824866705772982079747177766026516809926412204131385899417709255574554361914986549440999267
m: 20000000000000000000000000000000000
c5: 250
c0: 7
skew: 0.49
type: snfs
lpbr: 27
lpba: 27
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [4500000, 7900001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1270477 x 1270725
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 8.00 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,9000000,9000000,27,27,54,54,2.6,2.6,200000
total time: 80.00 hours.
software ソフトウェア
Msieve-1.38
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 20, 2007 09:00:00 UTC 2007 年 10 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

8×10174+73

c133

name 名前Dmitry Domanov
date 日付June 26, 2009 14:48:32 UTC 2009 年 6 月 26 日 (金) 23 時 48 分 32 秒 (日本時間)
composite number 合成数
7981207307506264708448549074412345132961629534071366686910928619342427057569777984461548299051675377642492454698805401174640568734319<133>
prime factors 素因数
147246485091491533084862542850273174082841<42>
54203041264768699675736191181175423376382598279706791561135352844935913636053459860335938759<92>
factorization results 素因数分解の結果
C133=P42*P92
C133=147246485091491533084862542850273174082841<42>*54203041264768699675736191181175423376382598279706791561135352844935913636053459860335938759<92>
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
3025e4430Makoto KamadaOctober 20, 2007 09:00:00 UTC 2007 年 10 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

8×10178+73

c179

name 名前Jo Yeong Uk
date 日付November 11, 2007 23:22:37 UTC 2007 年 11 月 12 日 (月) 8 時 22 分 37 秒 (日本時間)
composite number 合成数
26666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669<179>
prime factors 素因数
767662720421063505818715038954728721321787934050897941208611795952414246856909<78>
34737477745486953572334913721147854658092970596516908814796404141305652988617311793270855849086732641<101>
factorization results 素因数分解の結果
Number: 26669_178
N=26666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669
  ( 179 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=767662720421063505818715038954728721321787934050897941208611795952414246856909 (pp78)
 r2=34737477745486953572334913721147854658092970596516908814796404141305652988617311793270855849086732641 (pp101)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 229.96 hours.
Scaled time: 491.89 units (timescale=2.139).
Factorization parameters were as follows:
n: 26666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669
m: 1000000000000000000000000000000000000
c5: 2
c0: 175
skew: 2.45
type: snfs
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 50/50
Sieved algebraic special-q in [5000000, 8800001)
Primes: RFBsize:664579, AFBsize:665250, largePrimes:11139695 encountered
Relations: rels:11517589, finalFF:1584544
Max relations in full relation-set: 28
Initial matrix: 1329894 x 1584544 with sparse part having weight 95324120.
Pruned matrix : 1095649 x 1102362 with weight 62665643.
Total sieving time: 220.70 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 8.91 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,10000000,10000000,28,28,50,50,2.6,2.6,100000
total time: 229.96 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407677)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405122)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

8×10180+73

c167

name 名前Robert Backstrom
date 日付July 6, 2009 04:29:34 UTC 2009 年 7 月 6 日 (月) 13 時 29 分 34 秒 (日本時間)
composite number 合成数
85872959580818437049970776116010943591051241377859585751193600043739729134078369036913847819945516023470865699406926030247953668830042774115289314260254925621328820629<167>
prime factors 素因数
18555315928842020306493901187909913884372345209699756189928787759669539<71>
4627943814599199983007985544839411028986120597910669643331539446594085228777254658333014535246311<97>
factorization results 素因数分解の結果
Number: n
N=85872959580818437049970776116010943591051241377859585751193600043739729134078369036913847819945516023470865699406926030247953668830042774115289314260254925621328820629
  ( 167 digits)
SNFS difficulty: 180 digits.
Divisors found:

Mon Jul 06 14:14:43 2009  prp71 factor: 18555315928842020306493901187909913884372345209699756189928787759669539
Mon Jul 06 14:14:43 2009  prp97 factor: 4627943814599199983007985544839411028986120597910669643331539446594085228777254658333014535246311
Mon Jul 06 14:14:43 2009  elapsed time 01:38:07 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 131.74 hours.
Scaled time: 344.63 units (timescale=2.616).
Factorization parameters were as follows:
name: KA_2_6_179_9
n: 85872959580818437049970776116010943591051241377859585751193600043739729134078369036913847819945516023470865699406926030247953668830042774115289314260254925621328820629
m: 1000000000000000000000000000000000000
deg: 5
c5: 8
c0: 7
skew: 0.97
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [3600000, 5849990)
Primes: RFBsize:489319, AFBsize:488218, largePrimes:20564182 encountered
Relations: rels:20278778, finalFF:1064369
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2117894 hash collisions in 24343356 relations
Msieve: matrix is 1015493 x 1015741 (270.0 MB)

Total sieving time: 131.24 hours.
Total relation processing time: 0.50 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,56,56,2.5,2.5,100000
total time: 131.74 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
3025e4430Makoto KamadaOctober 20, 2007 09:00:00 UTC 2007 年 10 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
351e60--
403e60 / 1301--
4511e6300 / 4479Dmitry DomanovJune 27, 2009 21:18:31 UTC 2009 年 6 月 28 日 (日) 6 時 18 分 31 秒 (日本時間)

8×10181+73

c121

name 名前JMB
date 日付January 22, 2008 15:12:30 UTC 2008 年 1 月 23 日 (水) 0 時 12 分 30 秒 (日本時間)
composite number 合成数
2180080352611726188118812596943992144485851515924593788682983936169958984082679255506875131626675796792703255259985318331<121>
prime factors 素因数
1081148321083352502456169169103040048126155984589<49>
2016448909088811437437590767002243563539760000671212660803839912919962279<73>
factorization results 素因数分解の結果
prp49 factor: 1081148321083352502456169169103040048126155984589
prp73 factor: 2016448909088811437437590767002243563539760000671212660803839912919962279
software ソフトウェア
GGNFS + MSieve 1.33
Total time: 70.38 hours.
execution environment 実行環境
WinXP

8×10182+73

c144

name 名前Justin Card
date 日付August 2, 2009 14:46:34 UTC 2009 年 8 月 2 日 (日) 23 時 46 分 34 秒 (日本時間)
composite number 合成数
106863674249165476277135950768201346179664064572388256062379170668048285931254966336140306142687056863527571470316756489216772473680220396716477<144>
prime factors 素因数
1313874628553225970702945084785841581827031259121<49>
81334757462238608757273597406493936479682614546275200441982222523538919383871427624411039249037<95>
factorization results 素因数分解の結果
Number: 26669_182
N=106863674249165476277135950768201346179664064572388256062379170668048285931254966336140306142687056863527571470316756489216772473680220396716477
  ( 144 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=1313874628553225970702945084785841581827031259121 (pp49)
 r2=81334757462238608757273597406493936479682614546275200441982222523538919383871427624411039249037 (pp95)
Version: Msieve-1.40
Total time: 108.67 hours.
Scaled time: 219.84 units (timescale=2.023).
Factorization parameters were as follows:
n: 106863674249165476277135950768201346179664064572388256062379170668048285931254966336140306142687056863527571470316756489216772473680220396716477
m: 2000000000000000000000000000000000000
deg: 5
c5: 25
c0: 7
skew: 0.78
type: snfs
lss: 1
rlim: 7800000
alim: 7800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5

Factor 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, 6000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1285649 x 1285897
Total sieving time: 100.57 hours.
Total relation processing time: 0.37 hours.
Matrix solve time: 7.27 hours.
Time per square root: 0.46 hours.
Prototype def-par.txt line would be:
snfs,182.000,5,0,0,0,0,0,0,0,0,7800000,7800000,28,28,53,53,2.5,2.5,100000
total time: 108.67 hours.
 --------- CPU info (if available) ----------
[    0.138978] CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 3600+ stepping 01
[    0.231791] CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 3600+ stepping 01
[    0.004000] Memory: 986784k/1014720k available (2225k kernel code, 27548k reserved, 1080k data, 392k init)
[    0.084027] Calibrating delay using timer specific routine.. 4004.64 BogoMIPS (lpj=8009297)
[    0.152009] Calibrating delay using timer specific routine.. 4000.15 BogoMIPS (lpj=8000305)
[    0.231806] Total of 2 processors activated (8004.80 BogoMIPS).
software ソフトウェア
ggnfs / msieve
execution environment 実行環境
Athlon 64x2 3600, 1 GB RAM, Debian Linux 5.0

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 20, 2007 09:00:00 UTC 2007 年 10 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
351e60--
403e60 / 1301--
4511e6300 / 4479Dmitry DomanovJune 27, 2009 21:18:43 UTC 2009 年 6 月 28 日 (日) 6 時 18 分 43 秒 (日本時間)

8×10183+73

c163

name 名前Serge Batalov
date 日付February 13, 2009 02:39:19 UTC 2009 年 2 月 13 日 (金) 11 時 39 分 19 秒 (日本時間)
composite number 合成数
4704824606636977058186277883816465819245589272224258069949561298765146922685596215814964688637073438979937366891909026503939514358537697035457706715019067578370821<163>
prime factors 素因数
30060400046075892826912630127724553<35>
156512375065718674354721548240702754368556888089823882809533087811465411008217641205470073242329288280820516388264024561842672157<129>
factorization results 素因数分解の結果
Using B1=8000000, B2=46840406350, polynomial Dickson(12), sigma=215209419
Step 1 took 36590ms
Step 2 took 28115ms
********** Factor found in step 2: 30060400046075892826912630127724553
Found probable prime factor of 35 digits: 30060400046075892826912630127724553
Probable prime cofactor has 129 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 20, 2007 09:00:00 UTC 2007 年 10 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

8×10184+73

c157

name 名前Serge Batalov
date 日付February 13, 2009 01:37:46 UTC 2009 年 2 月 13 日 (金) 10 時 37 分 46 秒 (日本時間)
composite number 合成数
1398859029769831271204346433141908033738318192684705909293403496476743033725525997750587810540797494465816509054470622366651494741972962270209658733257969063<157>
prime factors 素因数
10490142307214064479640205122143<32>
composite cofactor 合成数の残り
133349862070778274177903595909790086247733391434306851920325896211332328606192378743990711854039144978397117642580702153728441<126>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=2422990683
Step 1 took 51122ms
Step 2 took 33274ms
********** Factor found in step 2: 10490142307214064479640205122143
Found probable prime factor of 32 digits: 10490142307214064479640205122143
Composite cofactor has 126 digits
software ソフトウェア
GMP-ECM 6.2.1

c126

name 名前Justin Card
date 日付July 30, 2009 21:30:47 UTC 2009 年 7 月 31 日 (金) 6 時 30 分 47 秒 (日本時間)
composite number 合成数
133349862070778274177903595909790086247733391434306851920325896211332328606192378743990711854039144978397117642580702153728441<126>
prime factors 素因数
1840576491455917515487089567659492600807511867287417<52>
72450051758129853557618859992660448536058606321454023390500476783160491073<74>
factorization results 素因数分解の結果
Number: 26669_184
N=133349862070778274177903595909790086247733391434306851920325896211332328606192378743990711854039144978397117642580702153728441
  ( 126 digits)
Divisors found:
 r1=1840576491455917515487089567659492600807511867287417 (pp52)
 r2=72450051758129853557618859992660448536058606321454023390500476783160491073 (pp74)
Version: Msieve-1.40
Total time: 62.14 hours.
Scaled time: 124.59 units (timescale=2.005).
Factorization parameters were as follows:
# Murphy_E = 1.553772e-10, selected by Jeff Gilchrist
n: 133349862070778274177903595909790086247733391434306851920325896211332328606192378743990711854039144978397117642580702153728441
Y0: -1383792360506376182622027
Y1: 36174105794699
c0: -25094862387985409537622023408320
c1: 497422368223576071131877836
c2: -3851721490457031123500
c3: 1380029445101797
c4: 29089581582
c5: 26280
skew: 376543.69
type: gnfs
# selected mechanically
rlim: 7200000
alim: 7200000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5

Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [3600000, 6800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 971988 x 972236
Total sieving time: 57.96 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 3.70 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
gnfs,125,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,7200000,7200000,27,27,53,53,2.5,2.5,100000
total time: 62.14 hours.
 --------- CPU info (if available) ----------
[    0.138880] CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 3600+ stepping 01
[    0.231790] CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 3600+ stepping 01
[    0.004000] Memory: 986784k/1014720k available (2225k kernel code, 27548k reserved, 1080k data, 392k init)
[    0.084029] Calibrating delay using timer specific routine.. 4004.53 BogoMIPS (lpj=8009076)
[    0.152009] Calibrating delay using timer specific routine.. 4000.15 BogoMIPS (lpj=8000316)
[    0.231806] Total of 2 processors activated (8004.69 BogoMIPS).
software ソフトウェア
ggnfs / msieve
execution environment 実行環境
Athlon 64x2 3600, 1 GB RAM, Debian Linux 5.0

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 20, 2007 09:00:00 UTC 2007 年 10 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6500 / 1301Erik BrangerMarch 6, 2009 15:08:59 UTC 2009 年 3 月 7 日 (土) 0 時 8 分 59 秒 (日本時間)
4511e6300 / 4368Dmitry DomanovJune 27, 2009 21:19:00 UTC 2009 年 6 月 28 日 (日) 6 時 19 分 0 秒 (日本時間)

8×10186+73

c186

name 名前Robert Backstrom
date 日付July 31, 2008 19:07:13 UTC 2008 年 8 月 1 日 (金) 4 時 7 分 13 秒 (日本時間)
composite number 合成数
140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140351<186>
prime factors 素因数
9461561365491417751494369249651340254835341510781699493399324537<64>
14833796640042493150323341558774456583384342378431564682298156460186483076837772252833910763261999400743782662308014748023<122>
factorization results 素因数分解の結果
Number: n
N=140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140351
  ( 186 digits)
SNFS difficulty: 186 digits.
Divisors found:

Fri Aug 01 04:57:51 2008  prp64 factor: 9461561365491417751494369249651340254835341510781699493399324537
Fri Aug 01 04:57:51 2008  prp122 factor: 14833796640042493150323341558774456583384342378431564682298156460186483076837772252833910763261999400743782662308014748023
Fri Aug 01 04:57:51 2008  elapsed time 08:20:34 (Msieve 1.36)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 75.43 hours.
Scaled time: 98.52 units (timescale=1.306).
Factorization parameters were as follows:
name: KA_2_6_185_9
n: 140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140351
type: snfs
skew: 0.61
deg: 5
c5: 80
c0: 7
m: 10000000000000000000000000000000000000
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 50/50
Sieved  special-q in [100000, 6350001)
Primes: RFBsize:602489, AFBsize:603715, largePrimes:10590638 encountered
Relations: rels:10590627, finalFF:1235224
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 74.89 hours.
Total relation processing time: 0.54 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,50,50,2.5,2.5,100000
total time: 75.43 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 20, 2007 09:00:00 UTC 2007 年 10 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

8×10187+73

c153

name 名前Justin Card
date 日付August 6, 2009 22:13:14 UTC 2009 年 8 月 7 日 (金) 7 時 13 分 14 秒 (日本時間)
composite number 合成数
632878331006826607892921413052373101493750270973351039252297873320440059704872140878402857753484859895707714576386291447104887955102355026445584175591349<153>
prime factors 素因数
50479019016684754981287962531941919871490137032437<50>
12537453051487436307735149209875880318604212209305100871443655159262572184508170463967147425732527050177<104>
factorization results 素因数分解の結果
Number: 26669_187
N=632878331006826607892921413052373101493750270973351039252297873320440059704872140878402857753484859895707714576386291447104887955102355026445584175591349
  ( 153 digits)
SNFS difficulty: 187 digits.
Divisors found:
 r1=50479019016684754981287962531941919871490137032437 (pp50)
 r2=12537453051487436307735149209875880318604212209305100871443655159262572184508170463967147425732527050177 (pp104)
Version: Msieve-1.40
Total time: 154.81 hours.
Scaled time: 313.18 units (timescale=2.023).
Factorization parameters were as follows:
n: 632878331006826607892921413052373101493750270973351039252297873320440059704872140878402857753484859895707714576386291447104887955102355026445584175591349
m: 20000000000000000000000000000000000000
deg: 5
c5: 25
c0: 7
skew: 0.78
type: snfs
lss: 1
rlim: 9500000
alim: 9500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5

Factor base limits: 9500000/9500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4750000, 7550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1798825 x 1799050
Total sieving time: 137.64 hours.
Total relation processing time: 0.31 hours.
Matrix solve time: 16.50 hours.
Time per square root: 0.37 hours.
Prototype def-par.txt line would be:
snfs,187.000,5,0,0,0,0,0,0,0,0,9500000,9500000,28,28,54,54,2.5,2.5,100000
total time: 154.81 hours.
 --------- CPU info (if available) ----------
[    0.138978] CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 3600+ stepping 01
[    0.231791] CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 3600+ stepping 01
[    0.004000] Memory: 986784k/1014720k available (2225k kernel code, 27548k reserved, 1080k data, 392k init)
[    0.084027] Calibrating delay using timer specific routine.. 4004.64 BogoMIPS (lpj=8009297)
[    0.152009] Calibrating delay using timer specific routine.. 4000.15 BogoMIPS (lpj=8000305)
[    0.231806] Total of 2 processors activated (8004.80 BogoMIPS).
software ソフトウェア
ggnfs / msieve 
execution environment 実行環境
Athlon 64x2 3600+, 1 GB RAM, Debian Linux 5.0

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 20, 2007 09:00:00 UTC 2007 年 10 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
351e60--
403e60 / 1301--
4511e6300 / 4479Dmitry DomanovJune 27, 2009 21:19:08 UTC 2009 年 6 月 28 日 (日) 6 時 19 分 8 秒 (日本時間)

8×10195+73

c168

name 名前Serge Batalov
date 日付February 13, 2009 02:10:27 UTC 2009 年 2 月 13 日 (金) 11 時 10 分 27 秒 (日本時間)
composite number 合成数
472631446517842315276520803990499610058880858382780688283096607235149760744582245800858176756849010628204068233165306273612670315173388116410525513086331091106537732351<168>
prime factors 素因数
21361646902753773798774688972047426229999<41>
22125234476041939644861842402929543686459937107236436624986438920087136960016791042077082338659824729805893701781682408595537649<128>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3406529621
Step 1 took 13669ms
Step 2 took 317ms
********** Factor found in step 2: 21361646902753773798774688972047426229999
Found probable prime factor of 41 digits: 21361646902753773798774688972047426229999
Probable prime cofactor has 128 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 20, 2007 09:00:00 UTC 2007 年 10 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

8×10197+73

c164

name 名前Justin Card
date 日付August 16, 2009 19:37:19 UTC 2009 年 8 月 17 日 (月) 4 時 37 分 19 秒 (日本時間)
composite number 合成数
85155415518237946102479936799298669533177788063631844025863034765370542187259018971925248551625065434263578805689864621162022682754722142419580647352642227668434851<164>
prime factors 素因数
2325412411440405653690878974819812220657268033511965719935728303192037<70>
36619489557764519846267534525547256193377038956838686278299696905702216244880052542768324514023<95>
factorization results 素因数分解の結果
Number: 26669_197
N=85155415518237946102479936799298669533177788063631844025863034765370542187259018971925248551625065434263578805689864621162022682754722142419580647352642227668434851
  ( 164 digits)
SNFS difficulty: 197 digits.
Divisors found:
 r1=2325412411440405653690878974819812220657268033511965719935728303192037 (pp70)
 r2=36619489557764519846267534525547256193377038956838686278299696905702216244880052542768324514023 (pp95)
Version: Msieve-1.40
Total time: 342.90 hours.
Scaled time: 684.42 units (timescale=1.996).
Factorization parameters were as follows:
n: 85155415518237946102479936799298669533177788063631844025863034765370542187259018971925248551625065434263578805689864621162022682754722142419580647352642227668434851
m: 2000000000000000000000000000000000000000
deg: 5
c5: 25
c0: 7
skew: 0.78
type: snfs
lss: 1
rlim: 13900000
alim: 13900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5

Factor base limits: 13900000/13900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6950000, 12650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2445649 x 2445874
Total sieving time: 297.25 hours.
Total relation processing time: 0.41 hours.
Matrix solve time: 43.74 hours.
Time per square root: 1.50 hours.
Prototype def-par.txt line would be:
snfs,197.000,5,0,0,0,0,0,0,0,0,13900000,13900000,28,28,55,55,2.5,2.5,100000
total time: 342.90 hours.
 --------- CPU info (if available) ----------
[    0.138978] CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 3600+ stepping 01
[    0.231791] CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 3600+ stepping 01
[    0.004000] Memory: 986784k/1014720k available (2225k kernel code, 27548k reserved, 1080k data, 392k init)
[    0.084027] Calibrating delay using timer specific routine.. 4004.64 BogoMIPS (lpj=8009297)
[    0.152009] Calibrating delay using timer specific routine.. 4000.15 BogoMIPS (lpj=8000305)
[    0.231806] Total of 2 processors activated (8004.80 BogoMIPS).
software ソフトウェア
ggnfs / msieve
execution environment 実行環境
Athlon 64X2 3600+, 1 GB RAM, Debian Linux 5.0

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 20, 2007 09:00:00 UTC 2007 年 10 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
351e60--
403e60 / 1301--
4511e6300 / 4479Dmitry DomanovJune 27, 2009 21:19:16 UTC 2009 年 6 月 28 日 (日) 6 時 19 分 16 秒 (日本時間)

8×10198+73

c168

name 名前Tyler Cadigan
date 日付September 17, 2009 14:31:27 UTC 2009 年 9 月 17 日 (木) 23 時 31 分 27 秒 (日本時間)
composite number 合成数
326049375859036824171261381255444031591741388878737437254646291435738645613348668941532143029811314115047415862021325774539435314337582793850998673813206148313689701851<168>
prime factors 素因数
2320931133956130818830015669886269704250399712699520140790309803080087<70>
140482141451250686133341198476651965065015485607240103507079549953316466653678246806832754878676573<99>
factorization results 素因数分解の結果
Number: 26669_198
N=326049375859036824171261381255444031591741388878737437254646291435738645613348668941532143029811314115047415862021325774539435314337582793850998673813206148313689701851
  ( 168 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=2320931133956130818830015669886269704250399712699520140790309803080087 (pp70)
 r2=140482141451250686133341198476651965065015485607240103507079549953316466653678246806832754878676573 (pp99)
Version: Msieve v. 1.42
Total time: 690.72 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 326049375859036824171261381255444031591741388878737437254646291435738645613348668941532143029811314115047415862021325774539435314337582793850998673813206148313689701851
m: 4000000000000000000000000000000000000000
deg: 5
c5: 125
c0: 112
skew: 0.98
type: snfs
lss: 1
rlim: 15100000
alim: 15100000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6Factor base limits: 15100000/15100000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [7550000, 16250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3134307 x 3134554
Total sieving time: 664.13 hours.
Total relation processing time: 0.66 hours.
Matrix solve time: 25.39 hours.
Time per square root: 0.54 hours.
Prototype def-par.txt line would be:
snfs,200.000,5,0,0,0,0,0,0,0,0,15100000,15100000,29,29,56,56,2.6,2.6,100000
total time: 690.72 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve
execution environment 実行環境
C2Q Q6600 2.4 GHz, 4 Gb RAM, Windows Vista

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 20, 2007 09:00:00 UTC 2007 年 10 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)
351e60--
403e60--
4511e62900 / 4479300Dmitry DomanovJune 27, 2009 21:19:29 UTC 2009 年 6 月 28 日 (日) 6 時 19 分 29 秒 (日本時間)
1400Erik BrangerSeptember 10, 2009 17:20:03 UTC 2009 年 9 月 11 日 (金) 2 時 20 分 3 秒 (日本時間)
1200Erik BrangerSeptember 12, 2009 19:43:14 UTC 2009 年 9 月 13 日 (日) 4 時 43 分 14 秒 (日本時間)

8×10200+73

c162

name 名前Serge Batalov
date 日付August 1, 2008 02:34:26 UTC 2008 年 8 月 1 日 (金) 11 時 34 分 26 秒 (日本時間)
composite number 合成数
203125529152699562183856293053731441293332266674324117424807479334745853292922045204998896132150962587398595293293115353306307658756975685864241169137652469452679<162>
prime factors 素因数
697368348053808161867372475367<30>
291274374180553751645366386448159892837438428245940571965196990275330307174828818699791027080461993416672152709678515211741667562337<132>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=1797152673
Step 1 took 24383ms
Step 2 took 19093ms
********** Factor found in step 2: 697368348053808161867372475367
Found probable prime factor of 30 digits: 697368348053808161867372475367
Probable prime cofactor 291274374180553751645366386448159892837438428245940571965196990275330307174828818699791027080461993416672152709678515211741667562337 has 132 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 20, 2007 09:00:00 UTC 2007 年 10 月 20 日 (土) 18 時 0 分 0 秒 (日本時間)

8×10202+73

c182

composite cofactor 合成数の残り
73806540430056575921196291365892294104639296505128114444309558431434100617108298586542580918641644738954136968709677212758374971244449228453668809510392069153791575760109493119415773<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 14, 2009 10:00:00 UTC 2009 年 10 月 14 日 (水) 19 時 0 分 0 秒 (日本時間)
403e61900300Dmitry DomanovApril 10, 2011 19:11:40 UTC 2011 年 4 月 11 日 (月) 4 時 11 分 40 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:39:44 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 44 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:43 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 43 秒 (日本時間)
4511e6300 / 4055Rich DickersonMarch 16, 2015 01:10:00 UTC 2015 年 3 月 16 日 (月) 10 時 10 分 0 秒 (日本時間)

8×10205+73

c195

name 名前matsui
date 日付June 23, 2011 22:01:55 UTC 2011 年 6 月 24 日 (金) 7 時 1 分 55 秒 (日本時間)
composite number 合成数
170374871018188133009395911821112598269836548283136173316333466962346352681325746376605161110842538518000937724834226204438854206855851255718854972781706288727207124910337945628989362703445358561<195>
prime factors 素因数
153485732228341469928868852107600052806093197357760738272641903791716350060757603<81>
1110037190718943238352085231663946434181493079360536804112979445341955910547008681892240420976985983381267976375787<115>
factorization results 素因数分解の結果
N=170374871018188133009395911821112598269836548283136173316333466962346352681325746376605161110842538518000937724834226204438854206855851255718854972781706288727207124910337945628989362703445358561
  ( 195 digits)
SNFS difficulty: 205 digits.
Divisors found:
 r1=153485732228341469928868852107600052806093197357760738272641903791716350060757603 (pp81)
 r2=1110037190718943238352085231663946434181493079360536804112979445341955910547008681892240420976985983381267976375787 (pp115)
Version: Msieve v. 1.49
Total time:
Scaled time: 83.57 units (timescale=0.675).
Factorization parameters were as follows:
n: 170374871018188133009395911821112598269836548283136173316333466962346352681325746376605161110842538518000937724834226204438854206855851255718854972781706288727207124910337945628989362703445358561
m: 100000000000000000000000000000000000000000
deg: 5
c5: 8
c0: 7
skew: 0.97
type: snfs
lss: 1
rlim: 18900000
alim: 18900000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 320000
Factor base limits: 18900000/18900000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [9450000, 20330001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3430358 x 3430589
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,205.000,5,0,0,0,0,0,0,0,0,18900000,18900000,29,29,56,56,2.6,2.6,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 14, 2009 10:00:00 UTC 2009 年 10 月 14 日 (水) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovApril 10, 2011 19:12:20 UTC 2011 年 4 月 11 日 (月) 4 時 12 分 20 秒 (日本時間)

8×10206+73

c174

composite cofactor 合成数の残り
220122100734440199047758680444559976335933427852118760004867412179706118962444547767559770730742129318793699149052491818551015947856947805201559861760278446699656945441450711<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 14, 2009 10:00:00 UTC 2009 年 10 月 14 日 (水) 19 時 0 分 0 秒 (日本時間)
403e61900300Dmitry DomanovApril 10, 2011 19:12:50 UTC 2011 年 4 月 11 日 (月) 4 時 12 分 50 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:39:44 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 44 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:44 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 44 秒 (日本時間)
4511e6122 / 4055CypFebruary 7, 2015 19:10:36 UTC 2015 年 2 月 8 日 (日) 4 時 10 分 36 秒 (日本時間)

8×10207+73

c196

composite cofactor 合成数の残り
6541376027123957670494783179083898870845505504901981406927544296429518380566407671285541222297594259643663344598261364445921908339669127219536640194545851389923155211474929976541506999609569630749<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 14, 2009 10:00:00 UTC 2009 年 10 月 14 日 (水) 19 時 0 分 0 秒 (日本時間)
403e61900300Dmitry DomanovApril 10, 2011 19:13:13 UTC 2011 年 4 月 11 日 (月) 4 時 13 分 13 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:39:45 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 45 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:44 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 44 秒 (日本時間)
4511e6300 / 4055Rich DickersonMarch 16, 2015 01:10:17 UTC 2015 年 3 月 16 日 (月) 10 時 10 分 17 秒 (日本時間)

8×10208+73

c186

name 名前Serge Batalov
date 日付May 26, 2014 20:28:10 UTC 2014 年 5 月 27 日 (火) 5 時 28 分 10 秒 (日本時間)
composite number 合成数
599723685445644571557174051838741585720165832130085341460530646403021944301157869663645788817055450499498596342609166642285804734127722182657942827490116361290765287317543708321594051921<186>
prime factors 素因数
50134735174118770875531842094182119104443<41>
11962239021763937042218592307196104936237424290887956717523055191501665911512122253509334149940684076744918640369838351289110978367587745887131747<146>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=695144851
Step 1 took 15071ms
Step 2 took 6387ms
********** Factor found in step 2: 50134735174118770875531842094182119104443
Found probable prime factor of 41 digits: 50134735174118770875531842094182119104443
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 14, 2009 10:00:00 UTC 2009 年 10 月 14 日 (水) 19 時 0 分 0 秒 (日本時間)
403e61900 / 2318300Dmitry DomanovApril 10, 2011 17:36:45 UTC 2011 年 4 月 11 日 (月) 2 時 36 分 45 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:39:45 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 45 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:44 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 44 秒 (日本時間)

8×10209+73

c146

name 名前Wataru Sakai
date 日付December 26, 2011 00:42:04 UTC 2011 年 12 月 26 日 (月) 9 時 42 分 4 秒 (日本時間)
composite number 合成数
21119556200761286723185485319396701440941220258895690870561676167016035330224918024311023093140782637673828982018119151827025940011693320220380067<146>
prime factors 素因数
68761813150271987880525742571197827525330569777905261<53>
307140769464682857279712969818842076095465813282672549450106106517616272671120231708010784847<93>
factorization results 素因数分解の結果
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=582309154
Step 1 took 449387ms
Step 2 took 144678ms
********** Factor found in step 2: 68761813150271987880525742571197827525330569777905261
Found probable prime factor of 53 digits: 68761813150271987880525742571197827525330569777905261
Probable prime cofactor 307140769464682857279712969818842076095465813282672549450106106517616272671120231708010784847 has 93 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaOctober 14, 2009 10:00:00 UTC 2009 年 10 月 14 日 (水) 19 時 0 分 0 秒 (日本時間)
786Wataru SakaiOctober 19, 2009 08:28:52 UTC 2009 年 10 月 19 日 (月) 17 時 28 分 52 秒 (日本時間)
403e62104Wataru SakaiNovember 26, 2009 15:02:27 UTC 2009 年 11 月 27 日 (金) 0 時 2 分 27 秒 (日本時間)
4511e639743383Wataru SakaiMay 31, 2010 01:56:47 UTC 2010 年 5 月 31 日 (月) 10 時 56 分 47 秒 (日本時間)
591Wataru SakaiJuly 8, 2010 06:32:24 UTC 2010 年 7 月 8 日 (木) 15 時 32 分 24 秒 (日本時間)
5043e66600Wataru SakaiNovember 28, 2011 13:30:06 UTC 2011 年 11 月 28 日 (月) 22 時 30 分 6 秒 (日本時間)

8×10210+73

c181

composite cofactor 合成数の残り
6744508961309570134478929790617227143428890463086598207689631206943331561956296139024890977222434926388048706117039151539268551141392206697881772712712150906436434280496213896690891<181>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 14, 2009 10:00:00 UTC 2009 年 10 月 14 日 (水) 19 時 0 分 0 秒 (日本時間)
403e61900300Dmitry DomanovApril 10, 2011 17:35:55 UTC 2011 年 4 月 11 日 (月) 2 時 35 分 55 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:39:46 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 46 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:45 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 45 秒 (日本時間)
4511e6300 / 4055Rich DickersonMarch 16, 2015 01:10:32 UTC 2015 年 3 月 16 日 (月) 10 時 10 分 32 秒 (日本時間)

8×10212+73

c168

composite cofactor 合成数の残り
770915226885909225503568312746576246263634681733995442074374735704448452884296758407148539896241144241184630674914096733827159198037584485121832863144944590120513890987<168>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 14, 2009 10:00:00 UTC 2009 年 10 月 14 日 (水) 19 時 0 分 0 秒 (日本時間)
403e6600300Dmitry DomanovApril 10, 2011 17:35:12 UTC 2011 年 4 月 11 日 (月) 2 時 35 分 12 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:39:46 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 46 秒 (日本時間)
4511e6300 / 3683Serge BatalovMay 27, 2014 00:30:19 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 19 秒 (日本時間)
5043e6188 / 7463CypFebruary 11, 2014 03:20:52 UTC 2014 年 2 月 11 日 (火) 12 時 20 分 52 秒 (日本時間)

8×10213+73

c192

composite cofactor 合成数の残り
179391155516646991298577455537184320677005514208309095036053208574793122175921011142749349072975668592749016917533810265557339256454136430868003454270200709315578827115527781548710785446648333<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 14, 2009 10:00:00 UTC 2009 年 10 月 14 日 (水) 19 時 0 分 0 秒 (日本時間)
403e61900300Dmitry DomanovApril 10, 2011 17:34:17 UTC 2011 年 4 月 11 日 (月) 2 時 34 分 17 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:39:47 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 47 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:45 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 45 秒 (日本時間)
4511e6122 / 4055CypFebruary 1, 2015 05:44:57 UTC 2015 年 2 月 1 日 (日) 14 時 44 分 57 秒 (日本時間)

8×10214+73

c168

name 名前Serge Batalov
date 日付January 22, 2011 05:40:10 UTC 2011 年 1 月 22 日 (土) 14 時 40 分 10 秒 (日本時間)
composite number 合成数
576294374564195766758338694219362701004520450423893316394715098433600816046498022843089543312148337363936521175034582021134207637140712679804251572304198236760817734327<168>
prime factors 素因数
9072640618543512505041310551374152399<37>
composite cofactor 合成数の残り
63520026725880815431662700139955000001582333845177792115795241608095229516512392471177605569777173574961685648928737001632461310873<131>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=696743487
Step 1 took 12308ms
Step 2 took 5333ms
********** Factor found in step 2: 9072640618543512505041310551374152399
Found probable prime factor of 37 digits: 9072640618543512505041310551374152399
Composite cofactor 6352002672588081543166270013995500000158233384517779211579524
1608095229516512392471177605569777173574961685648928737001632461310873 has 131 d
igits

c131

name 名前Warut Roonguthai
date 日付June 26, 2011 22:53:57 UTC 2011 年 6 月 27 日 (月) 7 時 53 分 57 秒 (日本時間)
composite number 合成数
63520026725880815431662700139955000001582333845177792115795241608095229516512392471177605569777173574961685648928737001632461310873<131>
prime factors 素因数
505585164431310484670784993871468778468317109561377129<54>
125636650745733533245263955135363468399499549559878145274597407962222859829937<78>
factorization results 素因数分解の結果
N = 63520026725880815431662700139955000001582333845177792115795241608095229516512392471177605569777173574961685648928737001632461310873 (131 digits)
Divisors found:
r1=505585164431310484670784993871468778468317109561377129 (pp54)
r2=125636650745733533245263955135363468399499549559878145274597407962222859829937 (pp78)
Version: Msieve v. 1.47
Total time: 51.09 hours.
Factorization parameters were as follows:
n: 63520026725880815431662700139955000001582333845177792115795241608095229516512392471177605569777173574961685648928737001632461310873
Y0: -34714069034406232377078613
Y1: 96088602444437
c0: 40314899090277248071810811869712880
c1: 203059015085442966717932031864
c2: -168930767438601741853864
c3: -35814314247309206
c4: 13115748591
c5: 1260
skew: 3377884.22
type: gnfs
Factor base limits: 7500000/7500000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 20634796
Relations: 2442574 relations
Pruned matrix : 1409288 x 1409516
Polynomial selection time: 0.00 hours.
Total sieving time: 46.02 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 4.54 hours.
time per square root: 0.37 hours.
Prototype def-par.txt line would be: gnfs,130,5,65,2000,1e-05,0.28,250,20,50000,3600,7500000,7500000,28,28,55,55,2.5,2.5,100000
total time: 51.09 hours.
Intel64 Family 6 Model 37 Stepping 5, GenuineIntel
Windows-7-6.1.7600
processors: 4, speed: 2.53GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 14, 2009 10:00:00 UTC 2009 年 10 月 14 日 (水) 19 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 22, 2011 15:27:01 UTC 2011 年 1 月 23 日 (日) 0 時 27 分 1 秒 (日本時間)
4511e64600600Dmitry DomanovMarch 8, 2011 15:47:04 UTC 2011 年 3 月 9 日 (水) 0 時 47 分 4 秒 (日本時間)
4000Wataru SakaiMay 8, 2011 07:05:28 UTC 2011 年 5 月 8 日 (日) 16 時 5 分 28 秒 (日本時間)
5043e6160 / 6509Ignacio SantosJune 12, 2011 23:50:35 UTC 2011 年 6 月 13 日 (月) 8 時 50 分 35 秒 (日本時間)

8×10215+73

c192

name 名前Serge Batalov
date 日付October 16, 2009 05:40:20 UTC 2009 年 10 月 16 日 (金) 14 時 40 分 20 秒 (日本時間)
composite number 合成数
417145456367880242701577717115836408917019709959566075086366887237026873296266849658884901786747612153313754832138962841043757662453551309311557825180526095391641252408278499638197250328755577<192>
prime factors 素因数
1639123903073298608883820431719<31>
composite cofactor 合成数の残り
254492937102404188685188052615787881342045720743990894848429549297697033088006979176092744516914821078431270738413278211316625145666683242254247672880860742129183<162>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3657846809
Step 1 took 4113ms
Step 2 took 2712ms
********** Factor found in step 2: 1639123903073298608883820431719
Found probable prime factor of 31 digits: 1639123903073298608883820431719
Composite cofactor has 162 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 14, 2009 10:00:00 UTC 2009 年 10 月 14 日 (水) 19 時 0 分 0 秒 (日本時間)
403e61900300Dmitry DomanovApril 10, 2011 17:33:23 UTC 2011 年 4 月 11 日 (月) 2 時 33 分 23 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:39:48 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 48 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:46 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 46 秒 (日本時間)
4511e6500 / 4055Rich DickersonMarch 16, 2015 01:10:49 UTC 2015 年 3 月 16 日 (月) 10 時 10 分 49 秒 (日本時間)

8×10216+73

c185

composite cofactor 合成数の残り
41454676517455937262573435301991192559816679309866352636833103694504463575357129261139021378361089405826644285492577081561289823678396391226921449242876807324237482967043656854063002549<185>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 14, 2009 10:00:00 UTC 2009 年 10 月 14 日 (水) 19 時 0 分 0 秒 (日本時間)
403e61900300Dmitry DomanovApril 10, 2011 17:32:24 UTC 2011 年 4 月 11 日 (月) 2 時 32 分 24 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:39:49 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 49 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:46 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 46 秒 (日本時間)
4511e6122 / 4055CypJanuary 30, 2015 06:30:46 UTC 2015 年 1 月 30 日 (金) 15 時 30 分 46 秒 (日本時間)

8×10217+73

c155

composite cofactor 合成数の残り
94473161423306039310590708973601441389943285217828399748315636169950056059603254919972818833575884529468737850152214240704681709151419754674711959927552431<155>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 14, 2009 10:00:00 UTC 2009 年 10 月 14 日 (水) 19 時 0 分 0 秒 (日本時間)
403e61900300Dmitry DomanovApril 10, 2011 17:31:35 UTC 2011 年 4 月 11 日 (月) 2 時 31 分 35 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:39:50 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 50 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:46 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 46 秒 (日本時間)
4511e60 / 3892--
5043e638 / 7471CypJanuary 12, 2014 03:34:20 UTC 2014 年 1 月 12 日 (日) 12 時 34 分 20 秒 (日本時間)
5511e74 / 17741KTakahashiSeptember 14, 2014 10:47:34 UTC 2014 年 9 月 14 日 (日) 19 時 47 分 34 秒 (日本時間)

8×10218+73

c172

name 名前Serge Batalov
date 日付October 16, 2009 04:31:55 UTC 2009 年 10 月 16 日 (金) 13 時 31 分 55 秒 (日本時間)
composite number 合成数
1074613511516039084732200677694643455295746957379533597134908107296453927383631405486263413905521966135183361904223959689252349961340970642218762716985424852091992829355943<172>
prime factors 素因数
1342390712063055001925603562834767<34>
composite cofactor 合成数の残り
800522159352933722050896549761388621424585536007720393498837602232681478070960919646071118994305807360849237736779454745588953403185113129<138>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3543900038
Step 1 took 3504ms
Step 2 took 2464ms
********** Factor found in step 2: 1342390712063055001925603562834767
Found probable prime factor of 34 digits: 1342390712063055001925603562834767
Composite cofactor has 138 digits
software ソフトウェア
GMP-ECM 6.2.3

c138

name 名前Markus Tervooren
date 日付February 17, 2010 19:08:50 UTC 2010 年 2 月 18 日 (木) 4 時 8 分 50 秒 (日本時間)
composite number 合成数
800522159352933722050896549761388621424585536007720393498837602232681478070960919646071118994305807360849237736779454745588953403185113129<138>
prime factors 素因数
67063987814613940194939573820188318086660988161<47>
11936691888436905934601450632685009735395380279917138415622311178687631167738358067005358889<92>
factorization results 素因数分解の結果
Using B1=20252974, B2=20252974-70272629710, polynomial Dickson(12), sigma=1367052522
Step 1 took 126388ms
********** Factor found in step 1: 67063987814613940194939573820188318086660988161
Found probable prime factor of 47 digits: 67063987814613940194939573820188318086660988161
Probable prime cofactor 11936691888436905934601450632685009735395380279917138415622311178687631167738358067005358889 has 92 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 14, 2009 10:00:00 UTC 2009 年 10 月 14 日 (水) 19 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiOctober 24, 2009 05:45:31 UTC 2009 年 10 月 24 日 (土) 14 時 45 分 31 秒 (日本時間)

8×10220+73

c211

name 名前Robert Backstrom
date 日付November 5, 2009 02:30:20 UTC 2009 年 11 月 5 日 (木) 11 時 30 分 20 秒 (日本時間)
composite number 合成数
1138003998794725682926321155405412538979627242039312593634276438708887713594111225991671194456334842477805341329483266540910587391526508465762511226229679040784257745433430779376748272005804726927838540861403257<211>
prime factors 素因数
609079768500831052828490055657690521244152789163817285070668259<63>
796566640808664328548424906689815506613506880016762451255084828876058099<72>
2345565144724188907165081244897249978800113689094388155072548075040871134977<76>
factorization results 素因数分解の結果
Sieving ~ 220 CPU days + 117 hrs Lanczos with Msieve 1.42

Sat Oct 31 15:34:27 2009  
Sat Oct 31 15:34:27 2009  
Sat Oct 31 15:34:27 2009  Msieve v. 1.42
Sat Oct 31 15:34:27 2009  random seeds: b45cd8a4 5e8cbb4f
Sat Oct 31 15:34:27 2009  factoring 1138003998794725682926321155405412538979627242039312593634276438708887713594111225991671194456334842477805341329483266540910587391526508465762511226229679040784257745433430779376748272005804726927838540861403257 (211 digits)
Sat Oct 31 15:34:29 2009  no P-1/P+1/ECM available, skipping
Sat Oct 31 15:34:29 2009  commencing number field sieve (211-digit input)
Sat Oct 31 15:34:29 2009  R0: -10000000000000000000000000000000000000
Sat Oct 31 15:34:29 2009  R1:  1
Sat Oct 31 15:34:29 2009  A0:  175
Sat Oct 31 15:34:29 2009  A1:  0
Sat Oct 31 15:34:29 2009  A2:  0
Sat Oct 31 15:34:29 2009  A3:  0
Sat Oct 31 15:34:29 2009  A4:  0
Sat Oct 31 15:34:29 2009  A5:  0
Sat Oct 31 15:34:29 2009  A6:  2
Sat Oct 31 15:34:29 2009  skew 1.00, size 3.489374e-11, alpha 1.918928, combined = 1.519785e-12
Sat Oct 31 15:34:29 2009  
Sat Oct 31 15:34:29 2009  commencing relation filtering
Sat Oct 31 15:34:29 2009  estimated available RAM is 7923.2 MB
Sat Oct 31 15:34:29 2009  commencing duplicate removal, pass 1
Sat Oct 31 15:36:03 2009  error -11 reading relation 17254458
Sat Oct 31 15:36:54 2009  error -11 reading relation 26696095
Sat Oct 31 15:36:58 2009  error -11 reading relation 27363947
Sat Oct 31 15:36:58 2009  error -15 reading relation 27363955
Sat Oct 31 15:38:59 2009  error -11 reading relation 45804540
Sat Oct 31 15:39:03 2009  error -9 reading relation 46551733
Sat Oct 31 15:39:43 2009  found 10149236 hash collisions in 53207787 relations
Sat Oct 31 15:39:58 2009  added 11 free relations
Sat Oct 31 15:39:58 2009  commencing duplicate removal, pass 2
Sat Oct 31 15:40:36 2009  found 10095437 duplicates and 43112361 unique relations
Sat Oct 31 15:40:36 2009  memory use: 330.4 MB
Sat Oct 31 15:40:36 2009  reading ideals above 42532864
Sat Oct 31 15:40:36 2009  commencing singleton removal, initial pass
Sat Oct 31 15:45:48 2009  memory use: 596.8 MB
Sat Oct 31 15:45:52 2009  reading all ideals from disk
Sat Oct 31 15:45:55 2009  memory use: 817.8 MB
Sat Oct 31 15:46:00 2009  commencing in-memory singleton removal
Sat Oct 31 15:46:04 2009  begin with 43112361 relations and 40663350 unique ideals
Sat Oct 31 15:46:48 2009  reduce to 22314083 relations and 17056552 ideals in 16 passes
Sat Oct 31 15:46:48 2009  max relations containing the same ideal: 27
Sat Oct 31 15:46:51 2009  reading ideals above 720000
Sat Oct 31 15:46:51 2009  commencing singleton removal, initial pass
Sat Oct 31 15:50:17 2009  memory use: 532.8 MB
Sat Oct 31 15:50:17 2009  reading all ideals from disk
Sat Oct 31 15:50:18 2009  memory use: 816.4 MB
Sat Oct 31 15:50:24 2009  keeping 22080764 ideals with weight <= 200, target excess is 125696
Sat Oct 31 15:50:29 2009  commencing in-memory singleton removal
Sat Oct 31 15:50:34 2009  begin with 22314094 relations and 22080764 unique ideals
Sat Oct 31 15:51:34 2009  reduce to 22292479 relations and 22059060 ideals in 11 passes
Sat Oct 31 15:51:34 2009  max relations containing the same ideal: 200
Sat Oct 31 15:51:56 2009  removing 650811 relations and 607005 ideals in 43806 cliques
Sat Oct 31 15:51:57 2009  commencing in-memory singleton removal
Sat Oct 31 15:52:02 2009  begin with 21641668 relations and 22059060 unique ideals
Sat Oct 31 15:52:44 2009  reduce to 21625957 relations and 21436291 ideals in 8 passes
Sat Oct 31 15:52:44 2009  max relations containing the same ideal: 200
Sat Oct 31 15:53:06 2009  removing 467462 relations and 423656 ideals in 43806 cliques
Sat Oct 31 15:53:06 2009  commencing in-memory singleton removal
Sat Oct 31 15:53:12 2009  begin with 21158495 relations and 21436291 unique ideals
Sat Oct 31 15:53:52 2009  reduce to 21150366 relations and 21004483 ideals in 8 passes
Sat Oct 31 15:53:52 2009  max relations containing the same ideal: 198
Sat Oct 31 15:54:03 2009  relations with 0 large ideals: 4811
Sat Oct 31 15:54:03 2009  relations with 1 large ideals: 417
Sat Oct 31 15:54:03 2009  relations with 2 large ideals: 3897
Sat Oct 31 15:54:03 2009  relations with 3 large ideals: 44781
Sat Oct 31 15:54:03 2009  relations with 4 large ideals: 304685
Sat Oct 31 15:54:03 2009  relations with 5 large ideals: 1255957
Sat Oct 31 15:54:03 2009  relations with 6 large ideals: 3252807
Sat Oct 31 15:54:03 2009  relations with 7+ large ideals: 16283011
Sat Oct 31 15:54:03 2009  commencing 2-way merge
Sat Oct 31 15:54:34 2009  reduce to 13461304 relation sets and 13315421 unique ideals
Sat Oct 31 15:54:34 2009  commencing full merge
Sat Oct 31 16:00:41 2009  memory use: 1639.9 MB
Sat Oct 31 16:00:43 2009  found 7160180 cycles, need 7153621
Sat Oct 31 16:00:47 2009  weight of 7153621 cycles is about 500859937 (70.01/cycle)
Sat Oct 31 16:00:47 2009  distribution of cycle lengths:
Sat Oct 31 16:00:47 2009  1 relations: 1050682
Sat Oct 31 16:00:47 2009  2 relations: 1061471
Sat Oct 31 16:00:47 2009  3 relations: 984923
Sat Oct 31 16:00:47 2009  4 relations: 812616
Sat Oct 31 16:00:47 2009  5 relations: 657769
Sat Oct 31 16:00:47 2009  6 relations: 527246
Sat Oct 31 16:00:47 2009  7 relations: 421690
Sat Oct 31 16:00:47 2009  8 relations: 331726
Sat Oct 31 16:00:47 2009  9 relations: 261587
Sat Oct 31 16:00:47 2009  10+ relations: 1043911
Sat Oct 31 16:00:47 2009  heaviest cycle: 28 relations
Sat Oct 31 16:00:50 2009  commencing cycle optimization
Sat Oct 31 16:01:06 2009  start with 38264635 relations
Sat Oct 31 16:02:27 2009  pruned 895565 relations
Sat Oct 31 16:02:27 2009  memory use: 1259.8 MB
Sat Oct 31 16:02:27 2009  distribution of cycle lengths:
Sat Oct 31 16:02:27 2009  1 relations: 1050682
Sat Oct 31 16:02:27 2009  2 relations: 1084140
Sat Oct 31 16:02:27 2009  3 relations: 1019860
Sat Oct 31 16:02:27 2009  4 relations: 826893
Sat Oct 31 16:02:27 2009  5 relations: 666675
Sat Oct 31 16:02:27 2009  6 relations: 526965
Sat Oct 31 16:02:27 2009  7 relations: 417613
Sat Oct 31 16:02:27 2009  8 relations: 325306
Sat Oct 31 16:02:27 2009  9 relations: 253971
Sat Oct 31 16:02:27 2009  10+ relations: 981516
Sat Oct 31 16:02:27 2009  heaviest cycle: 28 relations
Sat Oct 31 16:02:43 2009  RelProcTime: 1694
Sat Oct 31 16:02:43 2009  
Sat Oct 31 16:02:43 2009  commencing linear algebra
Sat Oct 31 16:02:48 2009  read 7153621 cycles
Sat Oct 31 16:03:02 2009  cycles contain 20976846 unique relations
Sat Oct 31 16:05:09 2009  read 20976846 relations
Sat Oct 31 16:05:47 2009  using 20 quadratic characters above 536870702
Sat Oct 31 16:07:28 2009  building initial matrix
Sat Oct 31 16:11:42 2009  memory use: 2662.3 MB
Sat Oct 31 16:11:46 2009  read 7153621 cycles
Sat Oct 31 16:11:50 2009  matrix is 7153443 x 7153621 (2122.1 MB) with weight 619248046 (86.56/col)
Sat Oct 31 16:11:50 2009  sparse part has weight 484755663 (67.76/col)
Sat Oct 31 16:13:28 2009  filtering completed in 2 passes
Sat Oct 31 16:13:29 2009  matrix is 7151802 x 7151980 (2122.0 MB) with weight 619201053 (86.58/col)
Sat Oct 31 16:13:29 2009  sparse part has weight 484741960 (67.78/col)
Sat Oct 31 16:14:11 2009  read 7151980 cycles
Sat Oct 31 16:14:15 2009  matrix is 7151802 x 7151980 (2122.0 MB) with weight 619201053 (86.58/col)
Sat Oct 31 16:14:15 2009  sparse part has weight 484741960 (67.78/col)
Sat Oct 31 16:14:15 2009  saving the first 48 matrix rows for later
Sat Oct 31 16:14:18 2009  matrix is 7151754 x 7151980 (2042.1 MB) with weight 494163750 (69.09/col)
Sat Oct 31 16:14:18 2009  sparse part has weight 463811895 (64.85/col)
Sat Oct 31 16:14:18 2009  matrix includes 64 packed rows
Sat Oct 31 16:14:18 2009  using block size 65536 for processor cache size 6144 kB
Sat Oct 31 16:14:46 2009  commencing Lanczos iteration (4 threads)
Sat Oct 31 16:14:46 2009  memory use: 2218.4 MB
Thu Nov  5 10:26:49 2009  lanczos halted after 113099 iterations (dim = 7151754)
Thu Nov  5 10:27:00 2009  recovered 40 nontrivial dependencies
Thu Nov  5 10:27:00 2009  BLanczosTime: 411857
Thu Nov  5 10:27:00 2009  
Thu Nov  5 10:27:00 2009  commencing square root phase
Thu Nov  5 10:27:00 2009  reading relations for dependency 1
Thu Nov  5 10:27:02 2009  read 3576106 cycles
Thu Nov  5 10:27:10 2009  cycles contain 12847903 unique relations
Thu Nov  5 10:28:35 2009  read 12847903 relations
Thu Nov  5 10:29:52 2009  multiplying 10490752 relations
Thu Nov  5 10:49:26 2009  multiply complete, coefficients have about 272.47 million bits
Thu Nov  5 10:49:29 2009  initial square root is modulo 77557
Thu Nov  5 11:21:08 2009  reading relations for dependency 2
Thu Nov  5 11:21:09 2009  read 3577523 cycles
Thu Nov  5 11:21:17 2009  cycles contain 12847085 unique relations
Thu Nov  5 11:22:42 2009  read 12847085 relations
Thu Nov  5 11:24:00 2009  multiplying 10490164 relations
Thu Nov  5 11:43:34 2009  multiply complete, coefficients have about 272.46 million bits
Thu Nov  5 11:43:36 2009  initial square root is modulo 77557
Thu Nov  5 12:15:13 2009  reading relations for dependency 3
Thu Nov  5 12:15:14 2009  read 3574396 cycles
Thu Nov  5 12:15:22 2009  cycles contain 12841056 unique relations
Thu Nov  5 12:16:47 2009  read 12841056 relations
Thu Nov  5 12:18:05 2009  multiplying 10485418 relations
Thu Nov  5 12:37:39 2009  multiply complete, coefficients have about 272.32 million bits
Thu Nov  5 12:37:41 2009  initial square root is modulo 77017
Thu Nov  5 13:09:16 2009  sqrtTime: 9736
Thu Nov  5 13:09:16 2009  prp63 factor: 609079768500831052828490055657690521244152789163817285070668259
Thu Nov  5 13:09:16 2009  prp72 factor: 796566640808664328548424906689815506613506880016762451255084828876058099
Thu Nov  5 13:09:16 2009  prp76 factor: 2345565144724188907165081244897249978800113689094388155072548075040871134977
Thu Nov  5 13:09:16 2009  elapsed time 117:34:49

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 14, 2009 10:00:00 UTC 2009 年 10 月 14 日 (水) 19 時 0 分 0 秒 (日本時間)

8×10223+73

c210

composite cofactor 合成数の残り
194918413957663848108395761008525922287298241582897600515495310611246768408304255228909571790361332828475736718482741069900554990356353159442674468356356220923202738486839940558741869392570996667556838656739629<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 14, 2009 10:00:00 UTC 2009 年 10 月 14 日 (水) 19 時 0 分 0 秒 (日本時間)
403e6700Serge BatalovOctober 16, 2009 02:40:36 UTC 2009 年 10 月 16 日 (金) 11 時 40 分 36 秒 (日本時間)
4511e60--
5043e62045800Dmitry DomanovOctober 29, 2009 18:33:06 UTC 2009 年 10 月 30 日 (金) 3 時 33 分 6 秒 (日本時間)
1245yoyo@homeJanuary 19, 2010 07:00:49 UTC 2010 年 1 月 19 日 (火) 16 時 0 分 49 秒 (日本時間)
5511e72285 / 17034yoyo@homeJuly 31, 2010 09:45:57 UTC 2010 年 7 月 31 日 (土) 18 時 45 分 57 秒 (日本時間)

8×10224+73

c196

composite cofactor 合成数の残り
1631821940572169617249126281167168031848116293033767557627692737351456411306170942645064118341084979142508845487091994715999497383361319399501338733458196406583174844614004633063576106064198544927<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 14, 2009 10:00:00 UTC 2009 年 10 月 14 日 (水) 19 時 0 分 0 秒 (日本時間)
403e60--
4511e60--
5043e62090800Dmitry DomanovOctober 29, 2009 18:33:37 UTC 2009 年 10 月 30 日 (金) 3 時 33 分 37 秒 (日本時間)
1290yoyo@homeJanuary 19, 2010 07:10:50 UTC 2010 年 1 月 19 日 (火) 16 時 10 分 50 秒 (日本時間)
5511e72280 / 17024yoyo@homeJuly 31, 2010 17:11:07 UTC 2010 年 8 月 1 日 (日) 2 時 11 分 7 秒 (日本時間)

8×10225+73

c174

composite cofactor 合成数の残り
615912001533298445663672879291429395558944508168098755946678603377601613065568365728650147518287324277663584591889501755214871698864105635286862457573541575332514578120644991<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 14, 2009 10:00:00 UTC 2009 年 10 月 14 日 (水) 19 時 0 分 0 秒 (日本時間)
403e61900300Dmitry DomanovApril 10, 2011 15:21:30 UTC 2011 年 4 月 11 日 (月) 0 時 21 分 30 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:39:50 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 50 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:47 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 47 秒 (日本時間)
4511e6122 / 4055CypJanuary 29, 2015 10:35:52 UTC 2015 年 1 月 29 日 (木) 19 時 35 分 52 秒 (日本時間)

8×10226+73

c181

name 名前Serge Batalov
date 日付January 22, 2011 20:39:34 UTC 2011 年 1 月 23 日 (日) 5 時 39 分 34 秒 (日本時間)
composite number 合成数
1816808848877892209648074388484826107715871770567652271641029501854631208536738408818162213436971560369760557186198633235475968177339761906547186218476481867844856692342823670795297<181>
prime factors 素因数
10855247744865822353985928097342807<35>
composite cofactor 合成数の残り
167366870989856814402740675177013474195223777141507723489019950607308193585995651983524009232067867076349365003766014166392833961302787189031008071<147>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=457423874
Step 1 took 14845ms
Step 2 took 5832ms
********** Factor found in step 2: 10855247744865822353985928097342807
Found probable prime factor of 35 digits: 10855247744865822353985928097342807
Composite cofactor 167366870989856814402740675177013474195223777141507723489019950607308193585995651983524009232067867076349365003766014166392833961302787189031008071 has 147 digits

c147

name 名前Dmitry Domanov
date 日付January 23, 2011 19:45:50 UTC 2011 年 1 月 24 日 (月) 4 時 45 分 50 秒 (日本時間)
composite number 合成数
167366870989856814402740675177013474195223777141507723489019950607308193585995651983524009232067867076349365003766014166392833961302787189031008071<147>
prime factors 素因数
3768940279984334459125168084806936347<37>
44406877943566798082640166607830717604787829818882070096482931670975137888852587113078303280208276446703687493<110>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2133223625
Step 1 took 60117ms
Step 2 took 25040ms
********** Factor found in step 2: 3768940279984334459125168084806936347
Found probable prime factor of 37 digits: 3768940279984334459125168084806936347
Probable prime cofactor 44406877943566798082640166607830717604787829818882070096482931670975137888852587113078303280208276446703687493 has 110 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 22, 2011 02:00:00 UTC 2011 年 1 月 22 日 (土) 11 時 0 分 0 秒 (日本時間)
403e60--
4511e6800 / 4475Dmitry DomanovJanuary 23, 2011 18:53:57 UTC 2011 年 1 月 24 日 (月) 3 時 53 分 57 秒 (日本時間)

8×10227+73

c222

name 名前RSALS + Serge Batalov
date 日付July 6, 2012 01:50:18 UTC 2012 年 7 月 6 日 (金) 10 時 50 分 18 秒 (日本時間)
composite number 合成数
175204951467133412657375110077985913959914421141455878684587505127482407780326279800993455876056513233120481217919699628631204746477340196111282300949107122716395088041583143181209444160101408625909176819246088713713138247<222>
prime factors 素因数
2132061026377600811841418834204894172503809734573087<52>
92486883614116431114430062148848947197772142121553285414573012185780980613562181479<83>
888518752606082537319165724001429308533060064413491617456152690273401854243407316079039<87>
factorization results 素因数分解の結果
Tue Jul  3 14:32:12 2012  found factor: 888518752606082537319165724001429308533060064413491617456152690273401854243407316079039
Tue Jul  3 14:32:23 2012  found factor: 2132061026377600811841418834204894172503809734573087
# the remainder is 92486883614116431114430062148848947197772142121553285414573012185780980613562181479
software ソフトウェア
ggnfs-lasieve4I14e on the RSALS grid

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 22, 2011 02:00:00 UTC 2011 年 1 月 22 日 (土) 11 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 22, 2011 18:34:28 UTC 2011 年 1 月 23 日 (日) 3 時 34 分 28 秒 (日本時間)
4511e64600600Dmitry DomanovJanuary 22, 2011 23:22:52 UTC 2011 年 1 月 23 日 (日) 8 時 22 分 52 秒 (日本時間)
4000Wataru SakaiJune 2, 2011 04:44:03 UTC 2011 年 6 月 2 日 (木) 13 時 44 分 3 秒 (日本時間)
5043e60--
5511e72710 / 17479yoyo@homeSeptember 22, 2011 21:20:09 UTC 2011 年 9 月 23 日 (金) 6 時 20 分 9 秒 (日本時間)

8×10229+73

c222

name 名前Dmitry Domanov
date 日付January 23, 2011 11:54:26 UTC 2011 年 1 月 23 日 (日) 20 時 54 分 26 秒 (日本時間)
composite number 合成数
941338613395749731433151915025739904211030043421949891392469142832002392317952083958367464212276846415392561911752352543453984821079593250879836843426171795073549080377480078656842527428753933957024291678287786017353883273<222>
prime factors 素因数
43415118146983280524564415216131795543819<41>
21682276901995695212341359597039371425685311594182739856799831850974516250400870336256552629909638898792256757479824841513900425885320624312275725696873356485095759570341946935524667<182>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2589550936
Step 1 took 165703ms
Step 2 took 74936ms
********** Factor found in step 2: 43415118146983280524564415216131795543819
Found probable prime factor of 41 digits: 43415118146983280524564415216131795543819
Probable prime cofactor 21682276901995695212341359597039371425685311594182739856799831850974516250400870336256552629909638898792256757479824841513900425885320624312275725696873356485095759570341946935524667 has 182 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 22, 2011 02:00:00 UTC 2011 年 1 月 22 日 (土) 11 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 22, 2011 18:33:31 UTC 2011 年 1 月 23 日 (日) 3 時 33 分 31 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovJanuary 22, 2011 23:22:13 UTC 2011 年 1 月 23 日 (日) 8 時 22 分 13 秒 (日本時間)

8×10231+73

c232

name 名前Erik Branger
date 日付June 7, 2011 05:34:35 UTC 2011 年 6 月 7 日 (火) 14 時 34 分 35 秒 (日本時間)
composite number 合成数
2666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669<232>
prime factors 素因数
10703370510671399140347637699446632768692243828703651712593<59>
13288625955206577902792839390558743534742712064106234060659176050557054750342505547<83>
18748567718011226171610339592572825878760196043827668887426198244545667882292786322536941239<92>
factorization results 素因数分解の結果
Number: 26669_231
N = 

266666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666

666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666

6666666666666666666669 (232 digits)
SNFS difficulty: 232 digits.
Divisors found:
r1=10703370510671399140347637699446632768692243828703651712593 (pp59)
r2=13288625955206577902792839390558743534742712064106234060659176050557054750342505547 (pp83)
r3=18748567718011226171610339592572825878760196043827668887426198244545667882292786322536941239 (pp92)
Version: Msieve v. 1.48
Total time: 5797.27 hours.
Factorization parameters were as follows:
n: 

266666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666

666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666

6666666666666666666669
m: 200000000000000000000000000000000000000
deg: 6
c6: 125
c0: 7
skew: 0.62
type: snfs
lss: 1
rlim: 65000000
alim: 65000000
lpbr: 30
lpba: 30
mfbr: 59
mfba: 59
rlambda: 2.7
alambda: 2.7
Factor base limits: 65000000/65000000
Large primes per side: 3
Large prime bits: 30/30
Sieved rational special-q in [32500000, 63700000)
Relations: 86510132
Relations in full relation-set: 12979592 relations
Pruned matrix : 8687023 x 8687248
Polynomial selection time: 0.00 hours.
Total sieving time: 5711.16 hours.
Total relation processing time: 0.55 hours.
Matrix solve time: 83.72 hours.
time per square root: 1.85 hours.
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 22, 2011 02:00:00 UTC 2011 年 1 月 22 日 (土) 11 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 22, 2011 18:32:58 UTC 2011 年 1 月 23 日 (日) 3 時 32 分 58 秒 (日本時間)
4511e63000600Dmitry DomanovJanuary 22, 2011 23:21:24 UTC 2011 年 1 月 23 日 (日) 8 時 21 分 24 秒 (日本時間)
2400Dmitry DomanovJanuary 24, 2011 07:10:30 UTC 2011 年 1 月 24 日 (月) 16 時 10 分 30 秒 (日本時間)
5043e6400Dmitry DomanovJanuary 24, 2011 07:10:51 UTC 2011 年 1 月 24 日 (月) 16 時 10 分 51 秒 (日本時間)
5511e76705 / 1743710Dmitry DomanovJanuary 24, 2011 07:12:02 UTC 2011 年 1 月 24 日 (月) 16 時 12 分 2 秒 (日本時間)
4000Erik BrangerMarch 22, 2011 14:41:12 UTC 2011 年 3 月 22 日 (火) 23 時 41 分 12 秒 (日本時間)
2695yoyo@homeApril 17, 2011 13:55:47 UTC 2011 年 4 月 17 日 (日) 22 時 55 分 47 秒 (日本時間)

8×10232+73

c184

composite cofactor 合成数の残り
1095254544375759621661337066186941930571196180849295422354066390666288401971424219390065168086554665133006373893476558575211656457836512800384089416414306604620572092716585238942300023<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 22, 2011 02:00:00 UTC 2011 年 1 月 22 日 (土) 11 時 0 分 0 秒 (日本時間)
403e61900300Dmitry DomanovApril 10, 2011 15:20:52 UTC 2011 年 4 月 11 日 (月) 0 時 20 分 52 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:39:51 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 51 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:47 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 47 秒 (日本時間)
4511e6168 / 4055Youcef LemsaferNovember 7, 2014 13:35:09 UTC 2014 年 11 月 7 日 (金) 22 時 35 分 9 秒 (日本時間)

8×10233+73

c214

composite cofactor 合成数の残り
3790179999085441651161640642646475698059121257003618910301486411052226198559489028458109942843961740446107547490993341525860944226835012161832239399938883683092188838300986874620039352170808322709420340802625842187<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 22, 2011 02:00:00 UTC 2011 年 1 月 22 日 (土) 11 時 0 分 0 秒 (日本時間)
403e6600300Dmitry DomanovApril 10, 2011 15:20:12 UTC 2011 年 4 月 11 日 (月) 0 時 20 分 12 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:39:52 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 52 秒 (日本時間)
4511e6300 / 3683Serge BatalovMay 27, 2014 00:30:19 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 19 秒 (日本時間)
5043e6188 / 746338CypJanuary 11, 2014 03:05:38 UTC 2014 年 1 月 11 日 (土) 12 時 5 分 38 秒 (日本時間)
150CypFebruary 14, 2014 01:47:22 UTC 2014 年 2 月 14 日 (金) 10 時 47 分 22 秒 (日本時間)

8×10235+73

c179

composite cofactor 合成数の残り
25242154142086234885805514077068055383167964737987550982206066455025904691520337531284768345543488176309926500974048124692202450469006567597338987572844185846035478450959372535099<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 22, 2011 02:00:00 UTC 2011 年 1 月 22 日 (土) 11 時 0 分 0 秒 (日本時間)
403e6600300Dmitry DomanovApril 10, 2011 15:19:46 UTC 2011 年 4 月 11 日 (月) 0 時 19 分 46 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:39:52 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 52 秒 (日本時間)
4511e6798 / 4342498CypMarch 9, 2014 07:29:30 UTC 2014 年 3 月 9 日 (日) 16 時 29 分 30 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:19 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 19 秒 (日本時間)

8×10236+73

c192

composite cofactor 合成数の残り
163536479079301860574330235915663695257623287461692566446177353710334325881070788279982193982003952314299817221727353116277251891565121510590374546733865311247192727308970377316043328006219153<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 22, 2011 02:00:00 UTC 2011 年 1 月 22 日 (土) 11 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovApril 10, 2011 15:19:05 UTC 2011 年 4 月 11 日 (月) 0 時 19 分 5 秒 (日本時間)
4511e6900 / 4409600Dmitry DomanovNovember 15, 2011 22:24:49 UTC 2011 年 11 月 16 日 (水) 7 時 24 分 49 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:20 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 20 秒 (日本時間)

8×10237+73

c223

name 名前Serge Batalov
date 日付January 22, 2011 10:47:55 UTC 2011 年 1 月 22 日 (土) 19 時 47 分 55 秒 (日本時間)
composite number 合成数
1334100901538289866295293220457436798747972375718867090959560641767902373507619556061274304523077701247449393776288258478700448180078873679165457196952816331401627212378625184756706517371921249299976820871515864980249911559<223>
prime factors 素因数
17493109168378549318338778040367149<35>
composite cofactor 合成数の残り
76264367225803391960426088478528868645126277158292863890712167581862641367809900755068862017592586620603134494628895437322589001867967300867212170390960817750504215887207324319791583849091<188>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3345306873
Step 1 took 20978ms
Step 2 took 7564ms
********** Factor found in step 2: 17493109168378549318338778040367149
Found probable prime factor of 35 digits: 17493109168378549318338778040367149
Composite cofactor has 188 digits

c188

name 名前Dmitry Domanov
date 日付April 10, 2011 17:19:01 UTC 2011 年 4 月 11 日 (月) 2 時 19 分 1 秒 (日本時間)
composite number 合成数
76264367225803391960426088478528868645126277158292863890712167581862641367809900755068862017592586620603134494628895437322589001867967300867212170390960817750504215887207324319791583849091<188>
prime factors 素因数
11865511433493689581784032762723381<35>
6427398233381336662239818464172761831767508287650823555546877836392473300855138505569848432240999640743947096024003497369005553231660054336300928260829911<154>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3393892911
Step 1 took 26020ms
Step 2 took 14525ms
********** Factor found in step 2: 11865511433493689581784032762723381
Found probable prime factor of 35 digits: 11865511433493689581784032762723381
Probable prime cofactor 6427398233381336662239818464172761831767508287650823555546877836392473300855138505569848432240999640743947096024003497369005553231660054336300928260829911 has 154 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 22, 2011 02:00:00 UTC 2011 年 1 月 22 日 (土) 11 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovApril 10, 2011 15:18:27 UTC 2011 年 4 月 11 日 (月) 0 時 18 分 27 秒 (日本時間)

8×10238+73

c225

name 名前Serge Batalov
date 日付January 22, 2011 08:34:08 UTC 2011 年 1 月 22 日 (土) 17 時 34 分 8 秒 (日本時間)
composite number 合成数
169932564457104781469829481006856294843531206969699679797803805597814432933258828293624182880210266281296016865398488135181980212442542460550707828092878773435951416684588685699224219418705739482996478578509862261822005578707<225>
prime factors 素因数
70383897753477143139284908685981<32>
composite cofactor 合成数の残り
2414367062368461706899423954472761895011916462717975672028750561773502074657973359307411203966951930731426727135978242837587189809431309528672568316640948185304789806036381517647260171558329647<193>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=313222709
Step 1 took 20989ms
Step 2 took 7556ms
********** Factor found in step 2: 70383897753477143139284908685981
Found probable prime factor of 32 digits: 70383897753477143139284908685981
Composite cofactor 2414367062368461706899423954472761895011916462717975672028750
56177350207465797335930741120396695193073142672713597824283758718980943130952867
2568316640948185304789806036381517647260171558329647 has 193 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 22, 2011 02:00:00 UTC 2011 年 1 月 22 日 (土) 11 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovApril 10, 2011 15:17:36 UTC 2011 年 4 月 11 日 (月) 0 時 17 分 36 秒 (日本時間)
4511e6900 / 4409600Dmitry DomanovNovember 15, 2011 22:24:17 UTC 2011 年 11 月 16 日 (水) 7 時 24 分 17 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:20 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 20 秒 (日本時間)

8×10239+73

c160

name 名前Grubix
date 日付May 22, 2011 17:31:27 UTC 2011 年 5 月 23 日 (月) 2 時 31 分 27 秒 (日本時間)
composite number 合成数
1231103632361706024887093329708581500632978530953847745961955938580932544319813130970651346239722926795255133812874611045180142648239505505590642869895992995949<160>
prime factors 素因数
1174413540578346639870448726286518324469658066779<49>
composite cofactor 合成数の残り
1048270979365106797302063905718764301571266496748922629723537995486565314105085671856567361009586702979907830231<112>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.1 and --enable-asm-redc] [ECM]
Input number is 1231103632361706024887093329708581500632978530953847745961955938580932544319813130970651346239722926795255133812874611045180142648239505505590642869895992995949 (160 digits)
[Sun May 22 13:31:03 2011]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=2731532897
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35     40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 343265ms
Using 20 small primes for NTT
Estimated memory usage: 608M
Initializing tables of differences for F took 219ms
Computing roots of F took 11419ms
Building F from its roots took 7941ms
Computing 1/F took 3744ms
Initializing table of differences for G took 187ms
Computing roots of G took 9672ms
Building G from its roots took 7660ms
Computing roots of G took 9719ms
Building G from its roots took 7706ms
Computing G * H took 2122ms
Reducing  G * H mod F took 2028ms
Computing roots of G took 9625ms
Building G from its roots took 7597ms
Computing G * H took 2137ms
Reducing  G * H mod F took 2106ms
Computing roots of G took 9781ms
Building G from its roots took 7987ms
Computing G * H took 2028ms
Reducing  G * H mod F took 1966ms
Computing polyeval(F,G) took 14165ms
Computing product of all F(g_i) took 46ms
Step 2 took 120417ms
********** Factor found in step 2: 1174413540578346639870448726286518324469658066779
Found probable prime factor of 49 digits: 1174413540578346639870448726286518324469658066779
Composite cofactor 1048270979365106797302063905718764301571266496748922629723537995486565314105085671856567361009586702979907830231 has 112 digits
software ソフトウェア
GMP-ECM

c112

name 名前Dmitry Domanov
date 日付May 23, 2011 22:19:41 UTC 2011 年 5 月 24 日 (火) 7 時 19 分 41 秒 (日本時間)
composite number 合成数
1048270979365106797302063905718764301571266496748922629723537995486565314105085671856567361009586702979907830231<112>
prime factors 素因数
3017827000789571531109960982769496843075092923261499029<55>
347359533562010545515652607049043098292960923935622698939<57>
factorization results 素因数分解の結果
N=1048270979365106797302063905718764301571266496748922629723537995486565314105085671856567361009586702979907830231
  ( 112 digits)
Divisors found:
 r1=3017827000789571531109960982769496843075092923261499029 (pp55)
 r2=347359533562010545515652607049043098292960923935622698939 (pp57)
Version: Msieve v. 1.48
Total time: 2.51 hours.
Scaled time: 3.16 units (timescale=1.262).
Factorization parameters were as follows:
name: 112
n: 1048270979365106797302063905718764301571266496748922629723537995486565314105085671856567361009586702979907830231
skew: 41112.85
# norm 2.10e+15
c5: 11880
c4: -2300027774
c3: -62110619574545
c2: 3277300433428609832
c1: 82242183654032209737358
c0: 12092344592917722900789935
# alpha -5.79
Y1: 825452506361
Y0: -2449836443068703757056
# Murphy_E 8.38e-10
# M 915786937689312526982877256336159294445923256682189014492073070548649288512552755001402604329890515695908143548
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2550001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 473401 x 473627
Polynomial selection time: 1.97 hours.
Total sieving time: 0.00 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.31 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
gnfs,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 2.51 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 KamadaJanuary 22, 2011 02:00:00 UTC 2011 年 1 月 22 日 (土) 11 時 0 分 0 秒 (日本時間)
403e6800Dmitry DomanovJanuary 22, 2011 11:47:53 UTC 2011 年 1 月 22 日 (土) 20 時 47 分 53 秒 (日本時間)
4511e6440Dmitry DomanovJanuary 22, 2011 18:29:48 UTC 2011 年 1 月 23 日 (日) 3 時 29 分 48 秒 (日本時間)
5043e61100 / 5049400Dmitry DomanovFebruary 6, 2011 23:32:28 UTC 2011 年 2 月 7 日 (月) 8 時 32 分 28 秒 (日本時間)
700Dmitry DomanovApril 22, 2011 09:10:25 UTC 2011 年 4 月 22 日 (金) 18 時 10 分 25 秒 (日本時間)
5511e7985 / 17343yoyo@homeMay 20, 2011 16:05:14 UTC 2011 年 5 月 21 日 (土) 1 時 5 分 14 秒 (日本時間)

8×10240+73

c203

composite cofactor 合成数の残り
19449871485783831835020557177360084903899015945144945974453989352600219368012633010610197763754162294726080813398363596510608249807343457438028803034184271022819041887377361674135552821643193311802761277<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 22, 2011 02:00:00 UTC 2011 年 1 月 22 日 (土) 11 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovApril 8, 2011 17:27:04 UTC 2011 年 4 月 9 日 (土) 2 時 27 分 4 秒 (日本時間)
4511e6900 / 4409600Dmitry DomanovNovember 15, 2011 22:23:36 UTC 2011 年 11 月 16 日 (水) 7 時 23 分 36 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:20 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 20 秒 (日本時間)

8×10241+73

c242

composite cofactor 合成数の残り
26666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 22, 2011 02:00:00 UTC 2011 年 1 月 22 日 (土) 11 時 0 分 0 秒 (日本時間)
403e6400Dmitry DomanovJanuary 22, 2011 18:32:12 UTC 2011 年 1 月 23 日 (日) 3 時 32 分 12 秒 (日本時間)
4511e61487600Dmitry DomanovJanuary 22, 2011 23:23:08 UTC 2011 年 1 月 23 日 (日) 8 時 23 分 8 秒 (日本時間)
87Andreas TeteJanuary 23, 2011 15:41:39 UTC 2011 年 1 月 24 日 (月) 0 時 41 分 39 秒 (日本時間)
800Dmitry DomanovJanuary 26, 2011 07:18:39 UTC 2011 年 1 月 26 日 (水) 16 時 18 分 39 秒 (日本時間)
5043e6880800Dmitry DomanovJanuary 26, 2011 07:18:39 UTC 2011 年 1 月 26 日 (水) 16 時 18 分 39 秒 (日本時間)
80Dmitry DomanovJanuary 26, 2011 07:19:07 UTC 2011 年 1 月 26 日 (水) 16 時 19 分 7 秒 (日本時間)
5511e72635 / 17359yoyo@homeApril 17, 2011 14:35:54 UTC 2011 年 4 月 17 日 (日) 23 時 35 分 54 秒 (日本時間)

8×10242+73

c225

composite cofactor 合成数の残り
179536722112101308507450177829657299041019991758440084781927549932186719666937271381716497642369060744871065611716314372230609276237268798005640111694635856333791831758136313241224529753754859117542732350339441865327014204551<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 22, 2011 02:00:00 UTC 2011 年 1 月 22 日 (土) 11 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovApril 8, 2011 17:27:44 UTC 2011 年 4 月 9 日 (土) 2 時 27 分 44 秒 (日本時間)
4511e6900 / 4409600Dmitry DomanovNovember 9, 2011 22:05:08 UTC 2011 年 11 月 10 日 (木) 7 時 5 分 8 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:21 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 21 秒 (日本時間)

8×10243+73

c210

name 名前Serge Batalov
date 日付May 27, 2014 02:58:47 UTC 2014 年 5 月 27 日 (火) 11 時 58 分 47 秒 (日本時間)
composite number 合成数
117903500730529884650533084038298647894984710902777345749965126465306074981372677331275504977879689490373434190039744164706169961519376265771753999005961490963917638019318302345585136212179324345452439996202541<210>
prime factors 素因数
1169620534846537559952185381464645531387733<43>
100804916823728349772107442638149651710919868931562071134788639592834941204879235153961736495891563807764821820050052869832774638605934552191859991487278840064709798777<168>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=841239765
Step 1 took 60143ms
Step 2 took 28050ms
********** Factor found in step 2: 1169620534846537559952185381464645531387733
Found probable prime factor of 43 digits: 1169620534846537559952185381464645531387733
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 22, 2011 02:00:00 UTC 2011 年 1 月 22 日 (土) 11 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovApril 8, 2011 17:28:19 UTC 2011 年 4 月 9 日 (土) 2 時 28 分 19 秒 (日本時間)
4511e6900 / 4409600Dmitry DomanovNovember 9, 2011 22:05:42 UTC 2011 年 11 月 10 日 (木) 7 時 5 分 42 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:21 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 21 秒 (日本時間)

8×10244+73

c238

name 名前Serge Batalov
date 日付January 22, 2011 07:07:44 UTC 2011 年 1 月 22 日 (土) 16 時 7 分 44 秒 (日本時間)
composite number 合成数
4181728075082091242483931840550499410716106819525554723217429944424311166149622125983235347603794019156600855152937034099953859857851562975753242917054325927127011156380059910572699682350708256670496606867432476983376637741130855314456281<238>
prime factors 素因数
5129067243313464189867105931597751<34>
composite cofactor 合成数の残り
815299912578378320919359448339463110518680608533307650149419444188237472154485787073567825112287436251257197997881674159246542608162745466643452023113514089797542361893798411276721475284805613132543426031<204>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4138170504
Step 1 took 24338ms
Step 2 took 8156ms
********** Factor found in step 2: 5129067243313464189867105931597751
Found probable prime factor of 34 digits: 5129067243313464189867105931597751
Composite cofactor has 204 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 22, 2011 02:00:00 UTC 2011 年 1 月 22 日 (土) 11 時 0 分 0 秒 (日本時間)
403e6400Dmitry DomanovApril 7, 2011 20:00:25 UTC 2011 年 4 月 8 日 (金) 5 時 0 分 25 秒 (日本時間)
4511e6860 / 4387560Dmitry DomanovNovember 9, 2011 10:02:03 UTC 2011 年 11 月 9 日 (水) 19 時 2 分 3 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:21 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 21 秒 (日本時間)

8×10245+73

c203

name 名前Dmitry Domanov
date 日付April 8, 2011 05:50:08 UTC 2011 年 4 月 8 日 (金) 14 時 50 分 8 秒 (日本時間)
composite number 合成数
24675925625239495876301137470067676106481817389968958971318629739951087110275555029433396633977652428181302786773482551982068739399515462778087658118496782359758055065183186902178558155639642443691737623<203>
prime factors 素因数
7375369212769076346783388112023719787<37>
composite cofactor 合成数の残り
3345720724396784436427016340115243576022343117760207896135903490152732399396611933961661625785860824347421459029915086282103335185344335082903366997797109339469127429<166>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3969347194
Step 1 took 82531ms
Step 2 took 30550ms
********** Factor found in step 2: 7375369212769076346783388112023719787
Found probable prime factor of 37 digits: 7375369212769076346783388112023719787
Composite cofactor 3345720724396784436427016340115243576022343117760207896135903490152732399396611933961661625785860824347421459029915086282103335185344335082903366997797109339469127429 has 166 digits

c166

name 名前ERBrouwer
date 日付May 21, 2011 02:01:34 UTC 2011 年 5 月 21 日 (土) 11 時 1 分 34 秒 (日本時間)
composite number 合成数
3345720724396784436427016340115243576022343117760207896135903490152732399396611933961661625785860824347421459029915086282103335185344335082903366997797109339469127429<166>
prime factors 素因数
253953948859228875737761822318435780041225746522219<51>
13174517425013052527718523095235105069955008607879858307837978780505357578185561136905879239679360303892661769984591<116>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.1 and --enable-asm-redc] [ECM]
Input number is 3345720724396784436427016340115243576022343117760207896135903490152732399396611933961661625785860824347421459029915086282103335185344335082903366997797109339469127429 (166 digits)
[Sat May 21 01:18:52 2011]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=711246824
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35        40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 730646ms
Using 21 small primes for NTT
Estimated memory usage: 615M
Initializing tables of differences for F took 468ms
Computing roots of F took 22651ms
Building F from its roots took 13292ms
Computing 1/F took 4960ms
Initializing table of differences for G took 406ms
Computing roots of G took 19281ms
Building G from its roots took 13276ms
Computing roots of G took 19250ms
Building G from its roots took 12839ms
Computing G * H took 2684ms
Reducing  G * H mod F took 2652ms
Computing roots of G took 20015ms
Building G from its roots took 12979ms
Computing G * H took 2792ms
Reducing  G * H mod F took 2730ms
Computing roots of G took 19984ms
Building G from its roots took 12714ms
Computing G * H took 2683ms
Reducing  G * H mod F took 2590ms
Computing polyeval(F,G) took 21310ms
Computing product of all F(g_i) took 125ms
Step 2 took 210368ms
********** Factor found in step 2: 253953948859228875737761822318435780041225746522219
Found probable prime factor of 51 digits: 253953948859228875737761822318435780041225746522219
Probable prime cofactor 13174517425013052527718523095235105069955008607879858307837978780505357578185561136905879239679360303892661769984591 has 116 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 22, 2011 02:00:00 UTC 2011 年 1 月 22 日 (土) 11 時 0 分 0 秒 (日本時間)
403e6400Dmitry DomanovApril 7, 2011 19:59:54 UTC 2011 年 4 月 8 日 (金) 4 時 59 分 54 秒 (日本時間)
4511e64560560Dmitry DomanovApril 11, 2011 15:26:04 UTC 2011 年 4 月 12 日 (火) 0 時 26 分 4 秒 (日本時間)
4000Wataru SakaiApril 20, 2011 07:00:15 UTC 2011 年 4 月 20 日 (水) 16 時 0 分 15 秒 (日本時間)
5043e60 / 4658--
5511e7770 / 17481yoyo@homeMay 20, 2011 17:11:54 UTC 2011 年 5 月 21 日 (土) 2 時 11 分 54 秒 (日本時間)

8×10246+73

c206

name 名前Dmitry Domanov
date 日付November 9, 2011 06:41:13 UTC 2011 年 11 月 9 日 (水) 15 時 41 分 13 秒 (日本時間)
composite number 合成数
10433010560799609704392009765893278747278843171266269379348238200985840867742200113017248643936573072057202372777559944539351716770792402663346510796156980975701797565215753981297227969654465046757725715677<206>
prime factors 素因数
25940450375967992246968397630969038089889<41>
402190802765130947558321528520759247278809109032488352793318641304431556865793427390481205615837175781558044801048710961316030229185122534331114674619986075614204093<165>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3638236503
Step 1 took 302980ms
Step 2 took 156877ms
********** Factor found in step 2: 25940450375967992246968397630969038089889
Found probable prime factor of 41 digits: 25940450375967992246968397630969038089889
Probable prime cofactor 402190802765130947558321528520759247278809109032488352793318641304431556865793427390481205615837175781558044801048710961316030229185122534331114674619986075614204093 has 165 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 22, 2011 02:00:00 UTC 2011 年 1 月 22 日 (土) 11 時 0 分 0 秒 (日本時間)
403e6400Dmitry DomanovApril 7, 2011 19:59:15 UTC 2011 年 4 月 8 日 (金) 4 時 59 分 15 秒 (日本時間)
4511e6560 / 4387Dmitry DomanovNovember 8, 2011 22:26:51 UTC 2011 年 11 月 9 日 (水) 7 時 26 分 51 秒 (日本時間)

8×10247+73

c227

composite cofactor 合成数の残り
32002679481849080734558770037882064574707362049654971756221072425292055940589780781972272543934237238368331943653831725024857378503035214158670230293601636810503010135945503881549886952029948591470732436134284441317138623763509<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 22, 2011 02:00:00 UTC 2011 年 1 月 22 日 (土) 11 時 0 分 0 秒 (日本時間)
403e6400Dmitry DomanovApril 7, 2011 19:58:16 UTC 2011 年 4 月 8 日 (金) 4 時 58 分 16 秒 (日本時間)
4511e6860 / 4387560Dmitry DomanovOctober 31, 2011 20:49:49 UTC 2011 年 11 月 1 日 (火) 5 時 49 分 49 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:22 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 22 秒 (日本時間)

8×10249+73

c227

name 名前Dmitry Domanov
date 日付October 28, 2011 09:16:34 UTC 2011 年 10 月 28 日 (金) 18 時 16 分 34 秒 (日本時間)
composite number 合成数
34756582424715296914784626645927012645871430597067731103898044402367823179604738784273077332655538450572044115753409895096329258072975853606590189327173365544698304441005533593138326361594563143873642320987904014665043147377443<227>
prime factors 素因数
64349831790176052475730115925274820772893659<44>
540119242860575744558438830153974623375440358918177378536381137929196531835346061775580540073285945426750898585727918829198002418907555557049770412727061224408638830391357532691852377<183>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2279457541
Step 1 took 358630ms
Step 2 took 167935ms
********** Factor found in step 2: 64349831790176052475730115925274820772893659
Found probable prime factor of 44 digits: 64349831790176052475730115925274820772893659
Probable prime cofactor 540119242860575744558438830153974623375440358918177378536381137929196531835346061775580540073285945426750898585727918829198002418907555557049770412727061224408638830391357532691852377 has 183 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 22, 2011 02:00:00 UTC 2011 年 1 月 22 日 (土) 11 時 0 分 0 秒 (日本時間)
403e6400Dmitry DomanovApril 7, 2011 19:42:21 UTC 2011 年 4 月 8 日 (金) 4 時 42 分 21 秒 (日本時間)
4511e6560 / 4387Dmitry DomanovOctober 27, 2011 22:58:22 UTC 2011 年 10 月 28 日 (金) 7 時 58 分 22 秒 (日本時間)

8×10250+73

c171

name 名前Serge Batalov
date 日付January 22, 2011 20:39:07 UTC 2011 年 1 月 23 日 (日) 5 時 39 分 7 秒 (日本時間)
composite number 合成数
369473440379254270952169554194470778669110154236255881064038240017791338227671676733993460867256227432528369154505244231310512700523720465081683976843831780755854502278109<171>
prime factors 素因数
498294374813064982387146196467595987907269<42>
741476241865788963170341749893308539347614861955652379545281194624978293329633633058299446026059295217539489599882388767052066361<129>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=342429678
Step 1 took 12804ms
Step 2 took 5537ms
********** Factor found in step 2: 498294374813064982387146196467595987907269
Found probable prime factor of 42 digits: 498294374813064982387146196467595987907269
Probable prime cofactor 741476241865788963170341749893308539347614861955652379545281194624978293329633633058299446026059295217539489599882388767052066361 has 129 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 22, 2011 02:00:00 UTC 2011 年 1 月 22 日 (土) 11 時 0 分 0 秒 (日本時間)
403e6800Dmitry DomanovJanuary 22, 2011 10:32:40 UTC 2011 年 1 月 22 日 (土) 19 時 32 分 40 秒 (日本時間)
4511e6440 / 4298Dmitry DomanovJanuary 22, 2011 18:30:34 UTC 2011 年 1 月 23 日 (日) 3 時 30 分 34 秒 (日本時間)

8×10251+73

c237

composite cofactor 合成数の残り
317398035456553446064891647413533391158985870756644064449719298774892921702226036921066923224812421921958386650925645738898501141563215452381881988100072773827039082573921197448019018763184711117840715061976947965123970586112922759985449<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10252+73

c209

composite cofactor 合成数の残り
53367979740719722059370687495733019399680916898468975173890389390039313011137783318890086591290512656477429136601386957366186772477012355232919228146755781895776465284260435374509421319461827227176068022268257<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10253+73

c237

composite cofactor 合成数の残り
831377724651276670572867822036214223669685116077621958375274250251980776092366073040888951293606997470240985660662732901888704219534336608943946830463676296041514048360802912968620018984136117588478553514386988888599077599032931231180867<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10254+73

c209

composite cofactor 合成数の残り
12505788813978748967517377071219349482136563505550154285594908279078303762262714527375579646316258060718549751328416449122845373927937324571190780403065348951721809255391510576475466830704966422643437389774229<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10255+73

c216

composite cofactor 合成数の残り
373029826127568361183616827862076656468313568710944565533639645903192681877560981991324680536895310602893738969635567914386913494808046575881350658902277588272179823845934402251024206677759166090730684237556534918169<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10257+73

c244

composite cofactor 合成数の残り
6792393285020453925020802377596148438967933114023478536483529977994861412044260869870643063190562807817831502367652248886843293025424898861739050913828060596219811120340527286529039940601319553455483840711706951920663138176042087884041223484727<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10258+73

c219

composite cofactor 合成数の残り
585012712021596206829328262206146372959261488586096309195417612786142236476386643891290718811953578011885736472923338328967276094740546342565571308823883629388043001837555653720977663731089905387303541810777376206784881<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10259+73

c239

composite cofactor 合成数の残り
19105482575648405538132482422901125646052829068034236577519627093242298670667147442616542133214856593754760211068973139443059036519239744302703669703363027401928421712038828229791307381700647993633122512597064193050387978839291127624495269<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10260+73

c229

composite cofactor 合成数の残り
2125540033972739591600020044880705135566341328999692567895710751199666290233985967481895283267290197547762158668265623801692686003436242240873365843853491656875308172817928787656333645135519426338158350390344668438981112370713031<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10261+73

c191

composite cofactor 合成数の残り
51557586613723028258251429986280494880436293403939993479803081382038755181744302409971811102119035736687720395317997580407689654891680000474838136604010374792418766517849242103453474362380121<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 8, 2017 06:46:14 UTC 2017 年 2 月 8 日 (水) 15 時 46 分 14 秒 (日本時間)
4511e6320 / 4218Dmitry DomanovFebruary 8, 2017 06:46:14 UTC 2017 年 2 月 8 日 (水) 15 時 46 分 14 秒 (日本時間)

8×10263+73

c259

composite cofactor 合成数の残り
3937957479904110735364334903593878445097489059861876141392363315957095953256444713538205571225344694340662856692804859439530201672647439589271034846001250301499869555158478176331891056406318452776506145674892075352816377965158921196548380268864046940453160457<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10265+73

c208

composite cofactor 合成数の残り
6741754934821332952142816325758698967614118138229352044541541304637144190835488479901958493800297402544039774573059187486182281893324243700987867275333178259752310536950428487261964166738426246372713741452063<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10266+73

c225

composite cofactor 合成数の残り
378659997876116317270560255844973893594555327596334071976145033971269709237498596215612854700018557162002321337705055253001139756155788106721284822085373589644266368041286180641384368606599963582772218347758101401806665994557<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10267+73

c265

composite cofactor 合成数の残り
6334125098970704671417260490894695170229612034837688044338875692794932699920823436262866191607284243863816310372129849564528899445764053840063341250989707046714172604908946951702296120348376880443388756927949326999208234362628661916072842438638163103721298495645289<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10268+73

c220

composite cofactor 合成数の残り
4116380860730596412509981174735107197250200384608239800085908651634159666024752323525228369456725537169422100371482724473199232315525978546635921817078088497433169738370817763268023257382654402569253570430086731914502269<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10270+73

c238

composite cofactor 合成数の残り
2585768303818330797344479911384212915885248802646753046659707875109179493506228786188656853125055947668330980569475761123975599961716970281686593782766992868299531490784772202557762030466818697941767254082607360522538689685365654336212937<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10271+73

c238

composite cofactor 合成数の残り
1805081535826605302339545514880691094313092253111472020735070178515929667493869206322994102621231787644026435946985506604338407368173922436966508912111371829016411768292964841597866909380919471397045292861080287196761813105300117978369941<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10273+73

c259

composite cofactor 合成数の残り
2240973533121974196599115895556596371498413265250724875077459052703760900555892511422359299917010679003311694356268160856611357178746728828238517967286581687234197851559875739016590868579344560748283945249007208919515605107231297847494884220642659257407177677<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10274+73

c243

composite cofactor 合成数の残り
336056293297740019094794522488550080776075894968533343956544042827974288891110365975984423501146395787796306482563394165995587113195156070931678270192702758006148019284918821715254501338429067472070986066867522219277518059250524898450867871117<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10275+73

c268

composite cofactor 合成数の残り
1718666899434318191553550939721838187893821644066401030799690273022718793498586464147724438513725996773147039637835980016982620266707842488243314061899906640080522465972226845615209502562565646227744963521305801174717848764578514097357723442309941075913536283016453157<268>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10280+73

c259

composite cofactor 合成数の残り
2480655433974984937211242408682554368104603992970556892315729783377334120313991728795620976509394629937927289206841154184494598548014139048117555804813297168107857831762135643728536540323288775792319505715626387284335001161177802284087893587876261119553536267<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10281+73

c240

composite cofactor 合成数の残り
561780315530391821584239061302283827242562889512398060901272512073992817639046467690094326858605366611431648133399200001203339719411978254226658202416116476009915630740895353915807117907037315266263333185695481388448882221769469873300679159<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10282+73

c270

composite cofactor 合成数の残り
596456890407199721095643088728172237238647625080902294845300308164523199677821582402899887433470316520026895349700609172752848204517955472041552668255315859206085049411534573299016960383568543801801472239303913598702873409433070440846338467832008621677058381254850130091<270>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10283+73

c261

composite cofactor 合成数の残り
145745802027999226174476575144252645351292875635765571035083773190950756689883369958161492596990605956688941298102411238569823512539816824734326177360982275056582204983130415568543109955396171488886222731165788927116618604491948686871412160768653030584379027191<261>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10284+73

c240

composite cofactor 合成数の残り
271308475690383562862840022188013472761989796334908723237391898364549914754009466498695792476243738693847334931301144396208855201892871974630985476128322631293272824291152207672606342801932060429286691196647402605482258439237582115659543629<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10285+73

c246

composite cofactor 合成数の残り
424141406353545051775587150215121097344952055084669734887457204963146256461915642374105224704078109129571893802021715411093858371498240793074529557389485656511092444432266348309594695193522379332827979763566424999467818342127026907564432510590449<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10286+73

c255

composite cofactor 合成数の残り
210265746047908149817314993206212233746846943772408897577616064402392826346078640092385112464706545966137780712769020349760731161584224168365606754705400651401483504593543506854683702290271511323449217239974000035965778104920217447807131753198152573152891<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10287+73

c249

composite cofactor 合成数の残り
263639882063517321904664319934539862669654773934689526400240992653451974295406636605055227847309046813871910956754018068684281998210826051281214638424458448826391274704861471486403831813767587889168551732001101316300602602589287751585057786825671473<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10288+73

c273

composite cofactor 合成数の残り
127564435795416080652929613977809581305535832327745939123264980570085885083091949459079749720877917561049305218538617684921777121434341096664716655409521273314506836766667282170813626822344219918968636216379502717302888720114089317633646936692502629570763213043218133009361<273>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10290+73

c260

composite cofactor 合成数の残り
30488120832390620896340700022457884595376632801489969256792340848517103818125971086095352187060740208477395106326853637297475658705731749865386700819656910465928306456413832433590562163569459390875795561847941914235394184777216309248237349403729065317815809169<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10292+73

c279

composite cofactor 合成数の残り
685005482646713367977195528130289163384324319891580869891463128727183302050709430028962456781906335827101697390514139597944186825940248576067341962845281642315730793871810387221160924408102768017856941523187167129657032708250657855875484397371126333205867908961413625756540392181<279>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10293+73

c289

composite cofactor 合成数の残り
5978671090883273920289367680798750457742005395750659522154713061154331920872288112159869664970218744628537691784558587240021224282372635622417027255266835564124984119154914841303649231367097878319096622798167537310644276543431308805835182984702075346202422856459580446756197266252643693623<289>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10294+73

c237

composite cofactor 合成数の残り
329486819285289182851129586781524209778035428531723131346206528829136638487372786400931585352290876625265408774884321757255871296474739876971916048632275168952218129741677004513715120065721729857373287774094569262599564305601836602737909<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10295+73

c273

composite cofactor 合成数の残り
443282235863000001221833873555489905636244359101714457851904579472529702672999655562603733873923923249791515542101720928083841396147979650446874525143687758023977349048912942873619238179605338231194633970346846822107863944136408776979220585199130610626777737110993404548719<273>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10296+73

c250

composite cofactor 合成数の残り
1763374222060415200977652326658097761376421304546319296257511065155350016351731648308205417395973879865149780520797331126499310601575721122911823166699850824431428196428881424326596086500014784077206537718485017809839398072103248689772295789943186133<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10297+73

c272

composite cofactor 合成数の残り
48976731894074108552797974674549645517846701240455082493503821020441952050879793223797295476375234395622645650460812110269610094629115882842431959984727546106405535980067629540183139322778916663659166373432670254368050702176222041886817926271270551174743595402207566687173<272>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10298+73

c294

composite cofactor 合成数の残り
614396854288106044897050127103349230851938038077245044505372132494681627230068582048859909837261633220437911357893847583500372478092912164289718836639556405471203987435584329808231381855324900736508229077867121320338839865139890483760723145097497100814843827999600642044712731070816917417382823<294>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10299+73

c247

composite cofactor 合成数の残り
6945472165654345268126692742399424684282181950909346836487321094584332839914549690210329130490170202338821459574893131057544094715412751844636350961797633439157835495887401470811276431270082124534453496549688260326848013651597273104367266365570577<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10300+73

c268

name 名前Dmitry Domanov
date 日付April 29, 2016 13:10:18 UTC 2016 年 4 月 29 日 (金) 22 時 10 分 18 秒 (日本時間)
composite number 合成数
6371286246980732980619874572907100083768438283928608411287100331201023351037066585886942928998995922687194249440188974006515548419160586769774127818863106454198556186419226965972523633953130857773374631493973689115491570215002175743627708208556427969109491998575911351<268>
prime factors 素因数
677670700005581162512359619074418131726209<42>
composite cofactor 合成数の残り
9401743718487844200771020038422940792175119682794933455746169283235432707407641799136314927560785017013182788101966219916643605884218743483619104710219478012167330419976477643455441605848540931715989027253492018795025937558839<226>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3488160739
Step 1 took 143788ms
Step 2 took 37546ms
********** Factor found in step 2: 677670700005581162512359619074418131726209
Found probable prime factor of 42 digits: 677670700005581162512359619074418131726209
Composite cofactor 9401743718487844200771020038422940792175119682794933455746169283235432707407641799136314927560785017013182788101966219916643605884218743483619104710219478012167330419976477643455441605848540931715989027253492018795025937558839 has 226 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovApril 27, 2016 06:53:00 UTC 2016 年 4 月 27 日 (水) 15 時 53 分 0 秒 (日本時間)
4511e61200Dmitry DomanovApril 29, 2016 07:47:10 UTC 2016 年 4 月 29 日 (金) 16 時 47 分 10 秒 (日本時間)
5043e6850 / 7233400Dmitry DomanovMay 4, 2016 14:46:59 UTC 2016 年 5 月 4 日 (水) 23 時 46 分 59 秒 (日本時間)
450Dmitry DomanovMay 6, 2016 17:14:48 UTC 2016 年 5 月 7 日 (土) 2 時 14 分 48 秒 (日本時間)