Table of contents 目次

7×10109-3

c103

name 名前Jo Yeong Uk
date 日付July 22, 2007 00:31:03 UTC 2007 年 7 月 22 日 (日) 9 時 31 分 3 秒 (日本時間)
composite number 合成数
4798191164185807622283101367066353705790409115027790780495023898762004988610807815924387635993589890787<103>
prime factors 素因数
228859484167433722234911564635934681814193<42>
20965664506503249718202161151414441563687134934979206768443859<62>
factorization results 素因数分解の結果
Number: 69997_109
N=4798191164185807622283101367066353705790409115027790780495023898762004988610807815924387635993589890787
  ( 103 digits)
SNFS difficulty: 110 digits.
Divisors found:
 r1=228859484167433722234911564635934681814193 (pp42)
 r2=20965664506503249718202161151414441563687134934979206768443859 (pp62)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.61 hours.
Scaled time: 1.31 units (timescale=2.143).
Factorization parameters were as follows:
n: 4798191164185807622283101367066353705790409115027790780495023898762004988610807815924387635993589890787
m: 10000000000000000000000
c5: 7
c0: -30
skew: 1.34
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, 300001)
Primes: RFBsize:30757, AFBsize:30494, largePrimes:983606 encountered
Relations: rels:888199, finalFF:73849
Max relations in full relation-set: 28
Initial matrix: 61316 x 73849 with sparse part having weight 3415148.
Pruned matrix : 56457 x 56827 with weight 2004983.
Total sieving time: 0.58 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,110,5,0,0,0,0,0,0,0,0,360000,360000,25,25,44,44,2.2,2.2,20000
total time: 0.61 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: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Total of 4 processors activated (19246.12 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

7×10116-3

c81

name 名前Jo Yeong Uk
date 日付July 21, 2007 15:10:36 UTC 2007 年 7 月 22 日 (日) 0 時 10 分 36 秒 (日本時間)
composite number 合成数
182980748402139428556729916605951877285225472985237924125874449528521933893711757<81>
prime factors 素因数
38690791643388328103740921502952607<35>
4729310014865205650831153297596976512403898451<46>
factorization results 素因数分解の結果
Sat Jul 21 23:59:36 2007  
Sat Jul 21 23:59:36 2007  
Sat Jul 21 23:59:36 2007  Msieve v. 1.25
Sat Jul 21 23:59:36 2007  random seeds: 59986908 0149e5dc
Sat Jul 21 23:59:36 2007  factoring 182980748402139428556729916605951877285225472985237924125874449528521933893711757 (81 digits)
Sat Jul 21 23:59:36 2007  commencing quadratic sieve (80-digit input)
Sat Jul 21 23:59:36 2007  using multiplier of 7
Sat Jul 21 23:59:36 2007  using 32kb Intel Core sieve core
Sat Jul 21 23:59:36 2007  sieve interval: 12 blocks of size 32768
Sat Jul 21 23:59:36 2007  processing polynomials in batches of 17
Sat Jul 21 23:59:36 2007  using a sieve bound of 1305643 (50294 primes)
Sat Jul 21 23:59:36 2007  using large prime bound of 129258657 (26 bits)
Sat Jul 21 23:59:36 2007  using trial factoring cutoff of 27 bits
Sat Jul 21 23:59:36 2007  polynomial 'A' values have 10 factors
Sun Jul 22 00:11:15 2007  50465 relations (25708 full + 24757 combined from 274294 partial), need 50390
Sun Jul 22 00:11:15 2007  begin with 300002 relations
Sun Jul 22 00:11:15 2007  reduce to 72144 relations in 2 passes
Sun Jul 22 00:11:15 2007  attempting to read 72144 relations
Sun Jul 22 00:11:16 2007  recovered 72144 relations
Sun Jul 22 00:11:16 2007  recovered 61871 polynomials
Sun Jul 22 00:11:16 2007  attempting to build 50465 cycles
Sun Jul 22 00:11:16 2007  found 50465 cycles in 1 passes
Sun Jul 22 00:11:16 2007  distribution of cycle lengths:
Sun Jul 22 00:11:16 2007     length 1 : 25708
Sun Jul 22 00:11:16 2007     length 2 : 24757
Sun Jul 22 00:11:16 2007  largest cycle: 2 relations
Sun Jul 22 00:11:16 2007  matrix is 50294 x 50465 with weight 1573880 (avg 31.19/col)
Sun Jul 22 00:11:16 2007  filtering completed in 4 passes
Sun Jul 22 00:11:16 2007  matrix is 42972 x 43036 with weight 1314047 (avg 30.53/col)
Sun Jul 22 00:11:16 2007  saving the first 48 matrix rows for later
Sun Jul 22 00:11:16 2007  matrix is 42924 x 43036 with weight 1004755 (avg 23.35/col)
Sun Jul 22 00:11:16 2007  matrix includes 64 packed rows
Sun Jul 22 00:11:16 2007  commencing Lanczos iteration
Sun Jul 22 00:11:41 2007  lanczos halted after 680 iterations
Sun Jul 22 00:11:41 2007  recovered 9 nontrivial dependencies
Sun Jul 22 00:11:41 2007  prp35 factor: 38690791643388328103740921502952607
Sun Jul 22 00:11:41 2007  prp46 factor: 4729310014865205650831153297596976512403898451
Sun Jul 22 00:11:41 2007  elapsed time 00:12:05
execution environment 実行環境
Core 2 Quad Q6600

7×10121-3

c106

name 名前Jo Yeong Uk
date 日付July 22, 2007 02:12:30 UTC 2007 年 7 月 22 日 (日) 11 時 12 分 30 秒 (日本時間)
composite number 合成数
1072720366308388454659014573709742439750797378507314566568561935551101727969483113552373319637988658644047<106>
prime factors 素因数
36358147136114613307985190682380569<35>
29504263852952324258374435890140498246794971645497980237929073951677863<71>
factorization results 素因数分解の結果
Number: 69997_121
N=1072720366308388454659014573709742439750797378507314566568561935551101727969483113552373319637988658644047
  ( 106 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=36358147136114613307985190682380569 (pp35)
 r2=29504263852952324258374435890140498246794971645497980237929073951677863 (pp71)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 1.34 hours.
Scaled time: 2.86 units (timescale=2.142).
Factorization parameters were as follows:
n: 1072720366308388454659014573709742439750797378507314566568561935551101727969483113552373319637988658644047
m: 1000000000000000000000000
c5: 70
c0: -3
skew: 0.53
type: snfs
Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [300000, 540001)
Primes: RFBsize:49098, AFBsize:48796, largePrimes:2105450 encountered
Relations: rels:2178868, finalFF:179576
Max relations in full relation-set: 28
Initial matrix: 97961 x 179576 with sparse part having weight 18093782.
Pruned matrix : 84353 x 84906 with weight 6257540.
Total sieving time: 1.27 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,121,5,0,0,0,0,0,0,0,0,600000,600000,25,25,46,46,2.4,2.4,30000
total time: 1.34 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: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Total of 4 processors activated (19246.12 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

7×10123-3

c108

name 名前Jo Yeong Uk
date 日付July 22, 2007 07:02:51 UTC 2007 年 7 月 22 日 (日) 16 時 2 分 51 秒 (日本時間)
composite number 合成数
929175959614815900163066670327570369604706388965383155597477001152268117687211419282352024355512064143133263<108>
prime factors 素因数
135311009685237351278540689388809518241159030458513113<54>
6866964940815089427027581044049877493885455562590216551<55>
factorization results 素因数分解の結果
Number: 69997_123
N=929175959614815900163066670327570369604706388965383155597477001152268117687211419282352024355512064143133263
  ( 108 digits)
SNFS difficulty: 124 digits.
Divisors found:
 r1=135311009685237351278540689388809518241159030458513113 (pp54)
 r2=6866964940815089427027581044049877493885455562590216551 (pp55)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 1.38 hours.
Scaled time: 2.94 units (timescale=2.131).
Factorization parameters were as follows:
n: 929175959614815900163066670327570369604706388965383155597477001152268117687211419282352024355512064143133263
m: 2000000000000000000000000
c5: 875
c0: -12
skew: 0.42
type: snfs
Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [300000, 540001)
Primes: RFBsize:49098, AFBsize:49241, largePrimes:2087615 encountered
Relations: rels:2138687, finalFF:167675
Max relations in full relation-set: 28
Initial matrix: 98406 x 167675 with sparse part having weight 16330556.
Pruned matrix : 86136 x 86692 with weight 6130758.
Total sieving time: 1.31 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,124,5,0,0,0,0,0,0,0,0,600000,600000,25,25,46,46,2.4,2.4,30000
total time: 1.38 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: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Total of 4 processors activated (19246.12 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

7×10124-3

c115

name 名前Jo Yeong Uk
date 日付July 22, 2007 08:52:45 UTC 2007 年 7 月 22 日 (日) 17 時 52 分 45 秒 (日本時間)
composite number 合成数
5629093926475911824338727170724976501590661199557369773249492232749066308603561735312182192338670303366493671339047<115>
prime factors 素因数
1653859776119932304506498458736364717902994881823<49>
3403610153505365266823631691628573931926592430091798145981178781689<67>
factorization results 素因数分解の結果
Number: 69997_124
N=5629093926475911824338727170724976501590661199557369773249492232749066308603561735312182192338670303366493671339047
  ( 115 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=1653859776119932304506498458736364717902994881823 (pp49)
 r2=3403610153505365266823631691628573931926592430091798145981178781689 (pp67)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 1.76 hours.
Scaled time: 3.78 units (timescale=2.145).
Factorization parameters were as follows:
n: 5629093926475911824338727170724976501590661199557369773249492232749066308603561735312182192338670303366493671339047
m: 10000000000000000000000000
c5: 7
c0: -30
skew: 1.34
type: snfs
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [500000, 850001)
Primes: RFBsize:78498, AFBsize:77956, largePrimes:1482727 encountered
Relations: rels:1490685, finalFF:186596
Max relations in full relation-set: 28
Initial matrix: 156519 x 186596 with sparse part having weight 8875261.
Pruned matrix : 140381 x 141227 with weight 5293869.
Total sieving time: 1.69 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,125,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,44,44,2.2,2.2,50000
total time: 1.76 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: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Total of 4 processors activated (19246.12 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

7×10126-3

c127

name 名前Jo Yeong Uk
date 日付July 21, 2007 23:05:23 UTC 2007 年 7 月 22 日 (日) 8 時 5 分 23 秒 (日本時間)
composite number 合成数
6999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997<127>
prime factors 素因数
3733064887567996534792974929164593204373697227583<49>
1875134831787061276782822033581045574929236611892954682370632550609251043832259<79>
factorization results 素因数分解の結果
Number: 69997_126
N=6999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997
  ( 127 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=3733064887567996534792974929164593204373697227583 (pp49)
 r2=1875134831787061276782822033581045574929236611892954682370632550609251043832259 (pp79)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 2.18 hours.
Scaled time: 4.65 units (timescale=2.128).
Factorization parameters were as follows:
n: 6999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997
m: 10000000000000000000000000
c5: 70
c0: -3
skew: 0.53
type: snfs
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [500000, 950001)
Primes: RFBsize:78498, AFBsize:78021, largePrimes:1558333 encountered
Relations: rels:1597125, finalFF:213619
Max relations in full relation-set: 28
Initial matrix: 156586 x 213619 with sparse part having weight 11148790.
Pruned matrix : 132114 x 132960 with weight 5515036.
Total sieving time: 2.10 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,126,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,44,44,2.2,2.2,50000
total time: 2.18 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: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Total of 4 processors activated (19246.12 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

7×10127-3

c83

name 名前Jo Yeong Uk
date 日付July 21, 2007 15:48:31 UTC 2007 年 7 月 22 日 (日) 0 時 48 分 31 秒 (日本時間)
composite number 合成数
53518379764623465702863279224822425408675308236078968242775516646260859391644045799<83>
prime factors 素因数
996661217419669522960891631306797<33>
53697664591766885637251106829273235075760230423267<50>
factorization results 素因数分解の結果
Sun Jul 22 00:13:13 2007  
Sun Jul 22 00:13:13 2007  
Sun Jul 22 00:13:13 2007  Msieve v. 1.25
Sun Jul 22 00:13:13 2007  random seeds: 103aacd2 23967dbd
Sun Jul 22 00:13:13 2007  factoring 53518379764623465702863279224822425408675308236078968242775516646260859391644045799 (83 digits)
Sun Jul 22 00:13:13 2007  commencing quadratic sieve (83-digit input)
Sun Jul 22 00:13:13 2007  using multiplier of 5
Sun Jul 22 00:13:13 2007  using 32kb Intel Core sieve core
Sun Jul 22 00:13:13 2007  sieve interval: 12 blocks of size 32768
Sun Jul 22 00:13:13 2007  processing polynomials in batches of 17
Sun Jul 22 00:13:13 2007  using a sieve bound of 1372627 (52647 primes)
Sun Jul 22 00:13:13 2007  using large prime bound of 122163803 (26 bits)
Sun Jul 22 00:13:13 2007  using trial factoring cutoff of 27 bits
Sun Jul 22 00:13:13 2007  polynomial 'A' values have 11 factors
Sun Jul 22 00:33:32 2007  52785 relations (26977 full + 25808 combined from 279646 partial), need 52743
Sun Jul 22 00:33:33 2007  begin with 306623 relations
Sun Jul 22 00:33:33 2007  reduce to 75331 relations in 2 passes
Sun Jul 22 00:33:33 2007  attempting to read 75331 relations
Sun Jul 22 00:33:33 2007  recovered 75331 relations
Sun Jul 22 00:33:33 2007  recovered 68714 polynomials
Sun Jul 22 00:33:33 2007  attempting to build 52785 cycles
Sun Jul 22 00:33:33 2007  found 52785 cycles in 1 passes
Sun Jul 22 00:33:33 2007  distribution of cycle lengths:
Sun Jul 22 00:33:33 2007     length 1 : 26977
Sun Jul 22 00:33:33 2007     length 2 : 25808
Sun Jul 22 00:33:33 2007  largest cycle: 2 relations
Sun Jul 22 00:33:33 2007  matrix is 52647 x 52785 with weight 1723884 (avg 32.66/col)
Sun Jul 22 00:33:33 2007  filtering completed in 4 passes
Sun Jul 22 00:33:33 2007  matrix is 45365 x 45429 with weight 1454573 (avg 32.02/col)
Sun Jul 22 00:33:34 2007  saving the first 48 matrix rows for later
Sun Jul 22 00:33:34 2007  matrix is 45317 x 45429 with weight 1108107 (avg 24.39/col)
Sun Jul 22 00:33:34 2007  matrix includes 64 packed rows
Sun Jul 22 00:33:34 2007  commencing Lanczos iteration
Sun Jul 22 00:34:03 2007  lanczos halted after 718 iterations
Sun Jul 22 00:34:03 2007  recovered 10 nontrivial dependencies
Sun Jul 22 00:34:03 2007  prp33 factor: 996661217419669522960891631306797
Sun Jul 22 00:34:03 2007  prp50 factor: 53697664591766885637251106829273235075760230423267
Sun Jul 22 00:34:03 2007  elapsed time 00:20:50
execution environment 実行環境
Core 2 Quad Q6600

7×10130-3

c122

name 名前Jo Yeong Uk
date 日付July 22, 2007 09:08:55 UTC 2007 年 7 月 22 日 (日) 18 時 8 分 55 秒 (日本時間)
composite number 合成数
26671850648201471139952050436640275593130415064623068809555644373410921858636706510104666244043064581907285529588537349397<122>
prime factors 素因数
12377339630211913014729356379781933602404602590397460483<56>
2154893656072748577302512740902433579438090282103291765000036292359<67>
factorization results 素因数分解の結果
Number: 69997_130
N=26671850648201471139952050436640275593130415064623068809555644373410921858636706510104666244043064581907285529588537349397
  ( 122 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=12377339630211913014729356379781933602404602590397460483 (pp56)
 r2=2154893656072748577302512740902433579438090282103291765000036292359 (pp67)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 1.95 hours.
Scaled time: 4.18 units (timescale=2.143).
Factorization parameters were as follows:
n: 26671850648201471139952050436640275593130415064623068809555644373410921858636706510104666244043064581907285529588537349397
m: 100000000000000000000000000
c5: 7
c0: -3
skew: 0.84
type: snfs
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [500000, 900001)
Primes: RFBsize:78498, AFBsize:78031, largePrimes:1497101 encountered
Relations: rels:1513263, finalFF:193250
Max relations in full relation-set: 28
Initial matrix: 156594 x 193250 with sparse part having weight 9535488.
Pruned matrix : 138779 x 139625 with weight 5365586.
Total sieving time: 1.88 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,130,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,44,44,2.2,2.2,50000
total time: 1.95 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: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Total of 4 processors activated (19246.12 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

7×10131-3

c109

name 名前Jo Yeong Uk
date 日付July 22, 2007 12:06:45 UTC 2007 年 7 月 22 日 (日) 21 時 6 分 45 秒 (日本時間)
composite number 合成数
5149045283090327070069279376634643521531392220622868283592793023104111216823296932910173748751679693893652261<109>
prime factors 素因数
3492650375317905457798484924118526607821958419517<49>
1474251565366503210694631337567966010127470661351122913594633<61>
factorization results 素因数分解の結果
Number: 69997_131
N=5149045283090327070069279376634643521531392220622868283592793023104111216823296932910173748751679693893652261
  ( 109 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=3492650375317905457798484924118526607821958419517 (pp49)
 r2=1474251565366503210694631337567966010127470661351122913594633 (pp61)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 3.06 hours.
Scaled time: 6.56 units (timescale=2.144).
Factorization parameters were as follows:
n: 5149045283090327070069279376634643521531392220622868283592793023104111216823296932910173748751679693893652261
m: 100000000000000000000000000
c5: 70
c0: -3
skew: 0.53
type: snfs
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [500000, 1150001)
Primes: RFBsize:78498, AFBsize:78021, largePrimes:1557428 encountered
Relations: rels:1555267, finalFF:175874
Max relations in full relation-set: 28
Initial matrix: 156586 x 175874 with sparse part having weight 11502732.
Pruned matrix : 150400 x 151246 with weight 8326009.
Total sieving time: 2.95 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,44,44,2.2,2.2,50000
total time: 3.06 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: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Total of 4 processors activated (19246.12 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

7×10132-3

c97

name 名前Robert Backstrom
date 日付July 22, 2007 10:00:46 UTC 2007 年 7 月 22 日 (日) 19 時 0 分 46 秒 (日本時間)
composite number 合成数
5057038245707377286077394752451829803112566267314143247542799158823686682115360518604401883246201<97>
prime factors 素因数
27212650857151474320206035877612519<35>
185834091366309855618215438086593893231210033409435324983518879<63>
factorization results 素因数分解の結果
Number: n
N=5057038245707377286077394752451829803112566267314143247542799158823686682115360518604401883246201
  ( 97 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=27212650857151474320206035877612519 (pp35)
 r2=185834091366309855618215438086593893231210033409435324983518879 (pp63)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 5.60 hours.
Scaled time: 5.40 units (timescale=0.963).
Factorization parameters were as follows:
name: KA_6_9_131_7
n: 5057038245707377286077394752451829803112566267314143247542799158823686682115360518604401883246201
type: snfs
skew: 1
deg: 5
c5: 700
c0: -3
m: 100000000000000000000000000
rlim: 2500000
alim: 2500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [1250000, 1750001)
Primes: RFBsize:183072, AFBsize:183021, largePrimes:5616253 encountered
Relations: rels:5027789, finalFF:431914
Max relations in full relation-set: 48
Initial matrix: 366160 x 431914 with sparse part having weight 16649644.
Pruned matrix : 301469 x 303363 with weight 9063422.
Total sieving time: 4.17 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.20 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,132,5,0,0,0,0,0,0,0,0,2500000,2500000,28,28,48,48,2.2,2.2,50000
total time: 5.60 hours.
 --------- CPU info (if available) ----------
CPU: AMD Athlon(tm) XP 2400+ stepping 01
Memory: 901612k/917504k available (1069k kernel code, 15504k reserved, 459k data, 96k init, 0k highmem)
sisfb: Memory heap starting at 12288K, size 19960K
Calibrating delay loop... 4010.80 BogoMIPS

7×10134-3

c85

name 名前Jo Yeong Uk
date 日付July 21, 2007 23:04:16 UTC 2007 年 7 月 22 日 (日) 8 時 4 分 16 秒 (日本時間)
composite number 合成数
6930694268516183887694709958969040895366115620435867716462445489842053938330019267009<85>
prime factors 素因数
1657367916841120248990423676418651639587<40>
4181747575834472305239024549045571460403317707<46>
factorization results 素因数分解の結果
Sun Jul 22 01:59:47 2007  
Sun Jul 22 01:59:47 2007  
Sun Jul 22 01:59:47 2007  Msieve v. 1.25
Sun Jul 22 01:59:47 2007  random seeds: 7b30c364 1c9cc3ef
Sun Jul 22 01:59:47 2007  factoring 6930694268516183887694709958969040895366115620435867716462445489842053938330019267009 (85 digits)
Sun Jul 22 01:59:47 2007  commencing quadratic sieve (85-digit input)
Sun Jul 22 01:59:48 2007  using multiplier of 1
Sun Jul 22 01:59:48 2007  using 32kb Intel Core sieve core
Sun Jul 22 01:59:48 2007  sieve interval: 12 blocks of size 32768
Sun Jul 22 01:59:48 2007  processing polynomials in batches of 17
Sun Jul 22 01:59:48 2007  using a sieve bound of 1434241 (54497 primes)
Sun Jul 22 01:59:48 2007  using large prime bound of 116173521 (26 bits)
Sun Jul 22 01:59:48 2007  using double large prime bound of 328997602795950 (41-49 bits)
Sun Jul 22 01:59:48 2007  using trial factoring cutoff of 49 bits
Sun Jul 22 01:59:48 2007  polynomial 'A' values have 11 factors
Sun Jul 22 02:21:27 2007  54900 relations (16114 full + 38786 combined from 570398 partial), need 54593
Sun Jul 22 02:21:27 2007  begin with 586512 relations
Sun Jul 22 02:21:27 2007  reduce to 128737 relations in 9 passes
Sun Jul 22 02:21:27 2007  attempting to read 128737 relations
Sun Jul 22 02:21:28 2007  recovered 128737 relations
Sun Jul 22 02:21:28 2007  recovered 106037 polynomials
Sun Jul 22 02:21:28 2007  attempting to build 54900 cycles
Sun Jul 22 02:21:28 2007  found 54900 cycles in 5 passes
Sun Jul 22 02:21:28 2007  distribution of cycle lengths:
Sun Jul 22 02:21:28 2007     length 1 : 16114
Sun Jul 22 02:21:28 2007     length 2 : 11199
Sun Jul 22 02:21:28 2007     length 3 : 9754
Sun Jul 22 02:21:28 2007     length 4 : 6903
Sun Jul 22 02:21:28 2007     length 5 : 4674
Sun Jul 22 02:21:28 2007     length 6 : 2887
Sun Jul 22 02:21:28 2007     length 7 : 1597
Sun Jul 22 02:21:28 2007     length 9+: 1772
Sun Jul 22 02:21:28 2007  largest cycle: 19 relations
Sun Jul 22 02:21:29 2007  matrix is 54497 x 54900 with weight 2829346 (avg 51.54/col)
Sun Jul 22 02:21:29 2007  filtering completed in 3 passes
Sun Jul 22 02:21:29 2007  matrix is 49646 x 49710 with weight 2569219 (avg 51.68/col)
Sun Jul 22 02:21:29 2007  saving the first 48 matrix rows for later
Sun Jul 22 02:21:30 2007  matrix is 49598 x 49710 with weight 1887856 (avg 37.98/col)
Sun Jul 22 02:21:30 2007  matrix includes 64 packed rows
Sun Jul 22 02:21:30 2007  commencing Lanczos iteration
Sun Jul 22 02:22:14 2007  lanczos halted after 786 iterations
Sun Jul 22 02:22:14 2007  recovered 15 nontrivial dependencies
Sun Jul 22 02:22:15 2007  prp40 factor: 1657367916841120248990423676418651639587
Sun Jul 22 02:22:15 2007  prp46 factor: 4181747575834472305239024549045571460403317707
Sun Jul 22 02:22:15 2007  elapsed time 00:22:28
execution environment 実行環境
Core 2 Quad Q6600

7×10136-3

c122

name 名前Jo Yeong Uk
date 日付July 22, 2007 14:19:04 UTC 2007 年 7 月 22 日 (日) 23 時 19 分 4 秒 (日本時間)
composite number 合成数
36626720592747561803500026700296649794252768847574024237934710155034041818228816099980837330026827983143189237441392003067<122>
prime factors 素因数
6688529150867410750543674810071273572433<40>
5476050080158143153708958738926903788962439257212131688978965251785087525399823499<82>
factorization results 素因数分解の結果
Number: 69997_136
N=36626720592747561803500026700296649794252768847574024237934710155034041818228816099980837330026827983143189237441392003067
  ( 122 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=6688529150867410750543674810071273572433 (pp40)
 r2=5476050080158143153708958738926903788962439257212131688978965251785087525399823499 (pp82)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 4.99 hours.
Scaled time: 10.69 units (timescale=2.143).
Factorization parameters were as follows:
n: 36626720592747561803500026700296649794252768847574024237934710155034041818228816099980837330026827983143189237441392003067
m: 1000000000000000000000000000
c5: 70
c0: -3
skew: 0.53
type: snfs
Factor base limits: 1400000/1400000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [700000, 1650001)
Primes: RFBsize:107126, AFBsize:106428, largePrimes:1903120 encountered
Relations: rels:2018723, finalFF:271339
Max relations in full relation-set: 28
Initial matrix: 213621 x 271339 with sparse part having weight 20879664.
Pruned matrix : 192022 x 193154 with weight 12401408.
Total sieving time: 4.80 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,136,5,0,0,0,0,0,0,0,0,1400000,1400000,25,25,45,45,2.3,2.3,50000
total time: 4.99 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: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Total of 4 processors activated (19246.12 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

7×10137-3

c89

name 名前Kenichiro Yamaguchi
date 日付July 22, 2007 01:05:00 UTC 2007 年 7 月 22 日 (日) 10 時 5 分 0 秒 (日本時間)
composite number 合成数
33709373544293481213343982315692544285548550722517329478640267756974328368014399890159431<89>
prime factors 素因数
53204897233454695830562193693392037137397<41>
633576518273911287795959707919898837003414686923<48>
factorization results 素因数分解の結果
C89=P41*P48
P41=53204897233454695830562193693392037137397
P48=633576518273911287795959707919898837003414686923

Sun Jul 22 01:55:34 2007  Msieve v. 1.25
Sun Jul 22 01:55:34 2007  random seeds: 1d6eae68 a4f7c8cb
Sun Jul 22 01:55:34 2007  factoring 33709373544293481213343982315692544285548550722517329478640267756974328368014399890159431 (89 digits)
Sun Jul 22 01:55:34 2007  commencing quadratic sieve (89-digit input)
Sun Jul 22 01:55:34 2007  using multiplier of 5
Sun Jul 22 01:55:34 2007  using 32kb Pentium M sieve core
Sun Jul 22 01:55:34 2007  sieve interval: 32 blocks of size 32768
Sun Jul 22 01:55:34 2007  processing polynomials in batches of 7
Sun Jul 22 01:55:34 2007  using a sieve bound of 1556189 (58911 primes)
Sun Jul 22 01:55:34 2007  using large prime bound of 124495120 (26 bits)
Sun Jul 22 01:55:34 2007  using double large prime bound of 372626841652480 (42-49 bits)
Sun Jul 22 01:55:34 2007  using trial factoring cutoff of 49 bits
Sun Jul 22 01:55:34 2007  polynomial 'A' values have 11 factors
Sun Jul 22 03:49:04 2007  59251 relations (15409 full + 43842 combined from 635927 partial), need 59007
Sun Jul 22 03:49:06 2007  begin with 651336 relations
Sun Jul 22 03:49:07 2007  reduce to 146490 relations in 10 passes
Sun Jul 22 03:49:07 2007  attempting to read 146490 relations
Sun Jul 22 03:49:13 2007  recovered 146490 relations
Sun Jul 22 03:49:13 2007  recovered 128156 polynomials
Sun Jul 22 03:49:13 2007  attempting to build 59251 cycles
Sun Jul 22 03:49:13 2007  found 59251 cycles in 5 passes
Sun Jul 22 03:49:13 2007  distribution of cycle lengths:
Sun Jul 22 03:49:13 2007     length 1 : 15409
Sun Jul 22 03:49:13 2007     length 2 : 11060
Sun Jul 22 03:49:13 2007     length 3 : 10314
Sun Jul 22 03:49:14 2007     length 4 : 8027
Sun Jul 22 03:49:14 2007     length 5 : 5815
Sun Jul 22 03:49:14 2007     length 6 : 3624
Sun Jul 22 03:49:14 2007     length 7 : 2227
Sun Jul 22 03:49:14 2007     length 9+: 2775
Sun Jul 22 03:49:15 2007  largest cycle: 18 relations
Sun Jul 22 03:49:15 2007  matrix is 58911 x 59251 with weight 3663344 (avg 61.83/col)
Sun Jul 22 03:49:17 2007  filtering completed in 4 passes
Sun Jul 22 03:49:17 2007  matrix is 55380 x 55444 with weight 3442544 (avg 62.09/col)
Sun Jul 22 03:49:18 2007  saving the first 48 matrix rows for later
Sun Jul 22 03:49:18 2007  matrix is 55332 x 55444 with weight 2837873 (avg 51.18/col)
Sun Jul 22 03:49:18 2007  matrix includes 64 packed rows
Sun Jul 22 03:49:18 2007  using block size 22177 for processor cache size 2048 kB
Sun Jul 22 03:49:18 2007  commencing Lanczos iteration
Sun Jul 22 03:50:16 2007  lanczos halted after 876 iterations
Sun Jul 22 03:50:16 2007  recovered 19 nontrivial dependencies
Sun Jul 22 03:50:17 2007  prp41 factor: 53204897233454695830562193693392037137397
Sun Jul 22 03:50:17 2007  prp48 factor: 633576518273911287795959707919898837003414686923
Sun Jul 22 03:50:17 2007  elapsed time 01:54:43
software ソフトウェア
Msieve v. 1.25
execution environment 実行環境
Pentium M 760 (2GHz), Windows XP

7×10140-3

c124

name 名前Robert Backstrom
date 日付July 22, 2007 23:05:43 UTC 2007 年 7 月 23 日 (月) 8 時 5 分 43 秒 (日本時間)
composite number 合成数
1933941068909484585739512229673477136075976625781953413961591541199884613868795341283880692719104589317952297566427277139541<124>
prime factors 素因数
11250180495689321348084945885182355115543862335246134474303<59>
171903114767847828998563831031206474014001920428664101581017239147<66>
factorization results 素因数分解の結果
Number: n
N=1933941068909484585739512229673477136075976625781953413961591541199884613868795341283880692719104589317952297566427277139541
  ( 124 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=11250180495689321348084945885182355115543862335246134474303 (pp59)
 r2=171903114767847828998563831031206474014001920428664101581017239147 (pp66)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 8.58 hours.
Scaled time: 8.26 units (timescale=0.963).
Factorization parameters were as follows:
name: KA_6_9_139_7
n: 1933941068909484585739512229673477136075976625781953413961591541199884613868795341283880692719104589317952297566427277139541
type: snfs
skew: 1
deg: 5
c5: 7
c0: -3
m: 10000000000000000000000000000
rlim: 2500000
alim: 2500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [1250000, 1850001)
Primes: RFBsize:183072, AFBsize:182526, largePrimes:6512840 encountered
Relations: rels:5911205, finalFF:420901
Max relations in full relation-set: 48
Initial matrix: 365663 x 420901 with sparse part having weight 26924881.
Pruned matrix : 322386 x 324278 with weight 16005615.
Total sieving time: 6.02 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 2.27 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,140,5,0,0,0,0,0,0,0,0,2500000,2500000,28,28,48,48,2.3,2.3,100000
total time: 8.58 hours.
 --------- CPU info (if available) ----------
CPU: AMD Athlon(tm) XP 2400+ stepping 01
Memory: 901612k/917504k available (1069k kernel code, 15504k reserved, 459k data, 96k init, 0k highmem)
sisfb: Memory heap starting at 12288K, size 19960K
Calibrating delay loop... 4010.80 BogoMIPS

7×10142-3

c118

name 名前Jo Yeong Uk
date 日付July 22, 2007 23:03:53 UTC 2007 年 7 月 23 日 (月) 8 時 3 分 53 秒 (日本時間)
composite number 合成数
2493088246906476884084912070409326850502294819795549558679381121592194090497586991463738201828121886276619548249267513<118>
prime factors 素因数
293996872467290101398339992619243102794207<42>
8479982205197969383707708914235563099398323494880780373423205897700123689959<76>
factorization results 素因数分解の結果
Number: 69997_142
N=2493088246906476884084912070409326850502294819795549558679381121592194090497586991463738201828121886276619548249267513
  ( 118 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=293996872467290101398339992619243102794207 (pp42)
 r2=8479982205197969383707708914235563099398323494880780373423205897700123689959 (pp76)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 7.68 hours.
Scaled time: 16.37 units (timescale=2.132).
Factorization parameters were as follows:
n: 2493088246906476884084912070409326850502294819795549558679381121592194090497586991463738201828121886276619548249267513
m: 10000000000000000000000000000
c5: 700
c0: -3
skew: 0.34
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, 1250001)
Primes: RFBsize:114155, AFBsize:114337, largePrimes:2621896 encountered
Relations: rels:2599825, finalFF:287405
Max relations in full relation-set: 28
Initial matrix: 228559 x 287405 with sparse part having weight 18474157.
Pruned matrix : 199501 x 200707 with weight 10381351.
Total sieving time: 7.49 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,142,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,50000
total time: 7.68 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: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Total of 4 processors activated (19246.12 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

7×10143-3

c114

name 名前Jo Yeong Uk
date 日付July 23, 2007 01:27:32 UTC 2007 年 7 月 23 日 (月) 10 時 27 分 32 秒 (日本時間)
composite number 合成数
503321721669367848389014004967846324275133410824146226320877399025698826072432114856210091439057067468359606896003<114>
prime factors 素因数
176985412377038489455150177398295039807447995083<48>
2843859925569024851779496154354305448575151654276681477679351507241<67>
factorization results 素因数分解の結果
Number: 69997_143
N=503321721669367848389014004967846324275133410824146226320877399025698826072432114856210091439057067468359606896003
  ( 114 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=176985412377038489455150177398295039807447995083 (pp48)
 r2=2843859925569024851779496154354305448575151654276681477679351507241 (pp67)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 10.45 hours.
Scaled time: 22.29 units (timescale=2.133).
Factorization parameters were as follows:
n: 503321721669367848389014004967846324275133410824146226320877399025698826072432114856210091439057067468359606896003
m: 20000000000000000000000000000
c5: 875
c0: -12
skew: 0.42
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, 1450001)
Primes: RFBsize:114155, AFBsize:114347, largePrimes:2712236 encountered
Relations: rels:2714874, finalFF:310280
Max relations in full relation-set: 28
Initial matrix: 228569 x 310280 with sparse part having weight 22031944.
Pruned matrix : 197851 x 199057 with weight 11694112.
Total sieving time: 10.24 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,144,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,50000
total time: 10.45 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: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Total of 4 processors activated (19246.12 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

7×10145-3

c93

name 名前Sinkiti Sibata
date 日付July 22, 2007 22:40:54 UTC 2007 年 7 月 23 日 (月) 7 時 40 分 54 秒 (日本時間)
composite number 合成数
263178836438484716512595291995766692784822600963980076573334298726819222124062974186701180431<93>
prime factors 素因数
38419676520928330018576887493317188578379<41>
6850105473822077822398812945194215058951502092829389<52>
factorization results 素因数分解の結果



Sun Jul 22 08:36:10 2007  Msieve v. 1.23
Sun Jul 22 08:36:10 2007  random seeds: 3eab88d0 395fcfcd
Sun Jul 22 08:36:10 2007  factoring 263178836438484716512595291995766692784822600963980076573334298726819222124062974186701180431 (93 digits)
Sun Jul 22 08:36:11 2007  commencing quadratic sieve (93-digit input)
Sun Jul 22 08:36:11 2007  using multiplier of 1
Sun Jul 22 08:36:11 2007  using 64kb Pentium 2 sieve core
Sun Jul 22 08:36:12 2007  sieve interval: 18 blocks of size 65536
Sun Jul 22 08:36:12 2007  processing polynomials in batches of 6
Sun Jul 22 08:36:12 2007  using a sieve bound of 1923127 (71422 primes)
Sun Jul 22 08:36:12 2007  using large prime bound of 232698367 (27 bits)
Sun Jul 22 08:36:12 2007  using double large prime bound of 1148756443608092 (42-51 bits)
Sun Jul 22 08:36:12 2007  using trial factoring cutoff of 51 bits
Sun Jul 22 08:36:12 2007  polynomial 'A' values have 12 factors
Mon Jul 23 02:26:32 2007  71761 relations (17892 full + 53869 combined from 964161 partial), need 71518
Mon Jul 23 02:26:37 2007  begin with 982053 relations
Mon Jul 23 02:26:39 2007  reduce to 183833 relations in 10 passes
Mon Jul 23 02:26:39 2007  attempting to read 183833 relations
Mon Jul 23 02:26:48 2007  recovered 183833 relations
Mon Jul 23 02:26:48 2007  recovered 165542 polynomials
Mon Jul 23 02:26:49 2007  attempting to build 71761 cycles
Mon Jul 23 02:26:49 2007  found 71761 cycles in 6 passes
Mon Jul 23 02:26:55 2007  distribution of cycle lengths:
Mon Jul 23 02:26:55 2007     length 1 : 17892
Mon Jul 23 02:26:55 2007     length 2 : 12817
Mon Jul 23 02:26:55 2007     length 3 : 12407
Mon Jul 23 02:26:55 2007     length 4 : 9896
Mon Jul 23 02:26:55 2007     length 5 : 7008
Mon Jul 23 02:26:55 2007     length 6 : 4784
Mon Jul 23 02:26:55 2007     length 7 : 2999
Mon Jul 23 02:26:55 2007     length 9+: 3958
Mon Jul 23 02:26:55 2007  largest cycle: 20 relations
Mon Jul 23 02:26:57 2007  matrix is 71422 x 71761 with weight 4423886 (avg 61.65/col)
Mon Jul 23 02:27:03 2007  filtering completed in 3 passes
Mon Jul 23 02:27:03 2007  matrix is 67649 x 67713 with weight 4191481 (avg 61.90/col)
Mon Jul 23 02:27:06 2007  saving the first 48 matrix rows for later
Mon Jul 23 02:27:07 2007  matrix is 67601 x 67713 with weight 3220413 (avg 47.56/col)
Mon Jul 23 02:27:07 2007  matrix includes 64 packed rows
Mon Jul 23 02:27:07 2007  using block size 5461 for processor cache size 128 kB
Mon Jul 23 02:27:07 2007  commencing Lanczos iteration
Mon Jul 23 02:31:49 2007  lanczos halted after 1071 iterations
Mon Jul 23 02:31:50 2007  recovered 17 nontrivial dependencies
Mon Jul 23 02:31:51 2007  prp41 factor: 38419676520928330018576887493317188578379
Mon Jul 23 02:31:51 2007  prp52 factor: 6850105473822077822398812945194215058951502092829389
Mon Jul 23 02:31:51 2007  elapsed time 17:55:41
execution environment 実行環境
Msieve v.  1.23, Celeron 750MHz, Windows 2000)

7×10146-3

c146

name 名前Robert Backstrom
date 日付July 23, 2007 05:51:44 UTC 2007 年 7 月 23 日 (月) 14 時 51 分 44 秒 (日本時間)
composite number 合成数
41176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941<146>
prime factors 素因数
2772341545407390176277168504286752739988576758255116308281<58>
14852596591660026569344293574475374603014785217941966344202020052222211474146804385683861<89>
factorization results 素因数分解の結果
Number: n
N=41176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941
  ( 146 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=2772341545407390176277168504286752739988576758255116308281 (pp58)
 r2=14852596591660026569344293574475374603014785217941966344202020052222211474146804385683861 (pp89)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 12.83 hours.
Scaled time: 18.57 units (timescale=1.447).
Factorization parameters were as follows:
name: KA_6_9_145_7
n: 41176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941
skew: 0.53
deg: 5
c5: 70
c0: -3
m: 100000000000000000000000000000
type: snfs
rlim: 2500000
alim: 2500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1500001)
Primes: RFBsize:183072, AFBsize:182426, largePrimes:7031056 encountered
Relations: rels:6506072, finalFF:476292
Max relations in full relation-set: 28
Initial matrix: 365565 x 476292 with sparse part having weight 34230439.
Pruned matrix : 282716 x 284607 with weight 19056754.
Total sieving time: 10.50 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 2.04 hours.
Total square root time: 0.11 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,2500000,2500000,28,28,48,48,2.5,2.5,100000
total time: 12.83 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

7×10148-3

c137

name 名前Jo Yeong Uk
date 日付July 23, 2007 12:32:02 UTC 2007 年 7 月 23 日 (月) 21 時 32 分 2 秒 (日本時間)
composite number 合成数
28445890993355795785465713412766066538152730750893507917803289805207609319238261618681814513715015288973371527222324093744020519559325733<137>
prime factors 素因数
301037510767131424181611457969<30>
5434594245435338312688573491110293470744533<43>
17387286194393844709918894508724977643672044365413394191742373729<65>
factorization results 素因数分解の結果
Number: 69997_148
N=28445890993355795785465713412766066538152730750893507917803289805207609319238261618681814513715015288973371527222324093744020519559325733
  ( 137 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=301037510767131424181611457969 (pp30)
 r2=5434594245435338312688573491110293470744533 (pp43)
 r3=17387286194393844709918894508724977643672044365413394191742373729 (pp65)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 12.60 hours.
Scaled time: 27.00 units (timescale=2.143).
Factorization parameters were as follows:
n: 28445890993355795785465713412766066538152730750893507917803289805207609319238261618681814513715015288973371527222324093744020519559325733
m: 200000000000000000000000000000
c5: 875
c0: -12
skew: 0.42
type: snfs
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1725001)
Primes: RFBsize:135072, AFBsize:135518, largePrimes:3840968 encountered
Relations: rels:3910546, finalFF:354284
Max relations in full relation-set: 28
Initial matrix: 270657 x 354284 with sparse part having weight 33819268.
Pruned matrix : 244258 x 245675 with weight 20068683.
Total sieving time: 12.20 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.31 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,149,5,0,0,0,0,0,0,0,0,1800000,1800000,26,26,48,48,2.3,2.3,75000
total time: 12.60 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: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Total of 4 processors activated (19246.12 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

7×10149-3

c146

name 名前Robert Backstrom
date 日付July 24, 2007 12:07:14 UTC 2007 年 7 月 24 日 (火) 21 時 7 分 14 秒 (日本時間)
composite number 合成数
68985907164679215531684241647777668276337833842515029072632305114812259781216122992017345028087119345619394895042869813738050655366118064452547551<146>
prime factors 素因数
79426057057573470993450111694681586724818267<44>
10135149856645968832942226206178100278444840800939<50>
85697312347290420035372811292253154086540948455681127<53>
factorization results 素因数分解の結果
Number: n
N=68985907164679215531684241647777668276337833842515029072632305114812259781216122992017345028087119345619394895042869813738050655366118064452547551
  ( 146 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=79426057057573470993450111694681586724818267 (pp44)
 r2=10135149856645968832942226206178100278444840800939 (pp50)
 r3=85697312347290420035372811292253154086540948455681127 (pp53)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 28.79 hours.
Scaled time: 27.70 units (timescale=0.962).
Factorization parameters were as follows:
name: KA_6_9_148_7
n: 68985907164679215531684241647777668276337833842515029072632305114812259781216122992017345028087119345619394895042869813738050655366118064452547551
type: snfs
skew: 1
deg: 5
c5: 7
c0: -30
m: 1000000000000000000000000000000
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [1500000, 2400001)
Primes: RFBsize:216816, AFBsize:216451, largePrimes:7557334 encountered
Relations: rels:7186983, finalFF:648300
Max relations in full relation-set: 48
Initial matrix: 433332 x 648300 with sparse part having weight 55843030.
Pruned matrix : 303102 x 305332 with weight 30614410.
Total sieving time: 24.47 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 3.92 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.3,2.3,100000
total time: 28.79 hours.
 --------- CPU info (if available) ----------
CPU: AMD Athlon(tm) XP 2400+ stepping 01
Memory: 901612k/917504k available (1069k kernel code, 15504k reserved, 459k data, 96k init, 0k highmem)
sisfb: Memory heap starting at 12288K, size 19960K
Calibrating delay loop... 4010.80 BogoMIPS

7×10150-3

c139

name 名前Sinkiti Sibata
date 日付July 28, 2007 07:20:50 UTC 2007 年 7 月 28 日 (土) 16 時 20 分 50 秒 (日本時間)
composite number 合成数
2540883133582855129103294851665209412058385608097038665067689287721635183644657611078834087886540221297369512376354576518671195152189929003<139>
prime factors 素因数
8764729519896434388185150658193376696083145995054647761<55>
289898636097657769901727571746993680083346617528438604091309287391756698440245150523<84>
factorization results 素因数分解の結果
Number: 69997_150
N=2540883133582855129103294851665209412058385608097038665067689287721635183644657611078834087886540221297369512376354576518671195152189929003
  ( 139 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=8764729519896434388185150658193376696083145995054647761 (pp55)
 r2=289898636097657769901727571746993680083346617528438604091309287391756698440245150523 (pp84)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 26.99 hours.
Scaled time: 18.41 units (timescale=0.682).
Factorization parameters were as follows:
name: 69997_150
n: 2540883133582855129103294851665209412058385608097038665067689287721635183644657611078834087886540221297369512376354576518671195152189929003
m: 1000000000000000000000000000000
c5: 7
c0: -3
skew: 0.84
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:175733, largePrimes:5394959 encountered
Relations: rels:5312038, finalFF:400934
Max relations in full relation-set: 0
Initial matrix: 352100 x 400934 with sparse part having weight 23256659.
Pruned matrix : 317140 x 318964 with weight 17341814.
Total sieving time: 23.86 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 2.81 hours.
Time per square root: 0.14 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: 26.99 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

7×10153-3

c109

name 名前Jo Yeong Uk
date 日付July 23, 2007 01:24:22 UTC 2007 年 7 月 23 日 (月) 10 時 24 分 22 秒 (日本時間)
composite number 合成数
4225999040415189334216405685817332689339711016281131781377624425475052123399501536592431043272004689307406243<109>
prime factors 素因数
368950902030040136294932320283019<33>
11454095970935197036364142614850850481119263863106296451412205403591388218697<77>
factorization results 素因数分解の結果
GMP-ECM 6.1.2 [powered by GMP 4.2.1] [ECM]
Input number is 4225999040415189334216405685817332689339711016281131781377624425475052123399501536592431043272004689307406243 (109 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2779761892
Step 1 took 16293ms
Step 2 took 391ms
********** Factor found in step 2: 368950902030040136294932320283019
Found probable prime factor of 33 digits: 368950902030040136294932320283019
Probable prime cofactor 11454095970935197036364142614850850481119263863106296451412205403591388218697 has 77 digits
execution environment 実行環境
Pentium 4 2.4GHz

7×10158-3

c142

name 名前Robert Backstrom
date 日付July 24, 2007 23:15:39 UTC 2007 年 7 月 25 日 (水) 8 時 15 分 39 秒 (日本時間)
composite number 合成数
1629100468722546348836181865908396777509268424093637341521060707834668285197254554652258415454552586334588148334243116907405481886978658509037<142>
prime factors 素因数
42315979991490290739022320497289947523549183832673097091435256957<65>
38498469586434182358752612193019411923606426698177641577645805015090636763441<77>
factorization results 素因数分解の結果
Number: n
N=1629100468722546348836181865908396777509268424093637341521060707834668285197254554652258415454552586334588148334243116907405481886978658509037
  ( 142 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=42315979991490290739022320497289947523549183832673097091435256957 (pp65)
 r2=38498469586434182358752612193019411923606426698177641577645805015090636763441 (pp77)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 35.97 hours.
Scaled time: 51.83 units (timescale=1.441).
Factorization parameters were as follows:
name: KA_6_9_157_7
n: 1629100468722546348836181865908396777509268424093637341521060707834668285197254554652258415454552586334588148334243116907405481886978658509037
skew: 0.21
deg: 5
c5: 7000
c0: -3
m: 10000000000000000000000000000000
type: snfs
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1600001)
Primes: RFBsize:250150, AFBsize:249771, largePrimes:7127717 encountered
Relations: rels:6646443, finalFF:562655
Max relations in full relation-set: 28
Initial matrix: 499988 x 562655 with sparse part having weight 34901852.
Pruned matrix : 443280 x 445843 with weight 23027628.
Total sieving time: 31.37 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 4.32 hours.
Total square root time: 0.07 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 35.97 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

7×10159-3

c153

name 名前Robert Backstrom
date 日付July 25, 2007 04:43:09 UTC 2007 年 7 月 25 日 (水) 13 時 43 分 9 秒 (日本時間)
composite number 合成数
609721734323858228547572275325597938861808049668280890441104930758693303609108441362233330577971781555516862420732908171464552476876956499054452244721051<153>
prime factors 素因数
2123843629199706450095966417930509967<37>
287084098820217654683647609855563415797505527535490938568019121616173404487170471297898238166611115453129796922918453<117>
factorization results 素因数分解の結果
Number: n
N=609721734323858228547572275325597938861808049668280890441104930758693303609108441362233330577971781555516862420732908171464552476876956499054452244721051
  ( 153 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=2123843629199706450095966417930509967 (pp37)
 r2=287084098820217654683647609855563415797505527535490938568019121616173404487170471297898238166611115453129796922918453 (pp117)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 52.22 hours.
Scaled time: 71.22 units (timescale=1.364).
Factorization parameters were as follows:
name: KA_6_9_158_7
n: 609721734323858228547572275325597938861808049668280890441104930758693303609108441362233330577971781555516862420732908171464552476876956499054452244721051
skew: 1.34
deg: 5
c5: 7
c0: -30
m: 100000000000000000000000000000000
type: snfs
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 2100001)
Primes: RFBsize:250150, AFBsize:249671, largePrimes:7451024 encountered
Relations: rels:7012972, finalFF:594936
Max relations in full relation-set: 28
Initial matrix: 499886 x 594936 with sparse part having weight 41833194.
Pruned matrix : 422235 x 424798 with weight 26496990.
Total sieving time: 46.74 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 4.28 hours.
Total square root time: 0.93 hours, sqrts: 7.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 52.22 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

7×10160-3

c141

name 名前Jo Yeong Uk
date 日付July 24, 2007 00:20:17 UTC 2007 年 7 月 24 日 (火) 9 時 20 分 17 秒 (日本時間)
composite number 合成数
101161069900815102511014275377592525476247687059423971845408843326729194860442577397403017518633126002061711589787796434834004125579197582623<141>
prime factors 素因数
225167822909311193771939915964703697<36>
composite cofactor 合成数の残り
449269654046257004984956784811621039356018734468246305859975642850924126367108968544894530278674215128559<105>
factorization results 素因数分解の結果
GMP-ECM 6.1.2 [powered by GMP 4.2.1] [ECM]
Input number is 101161069900815102511014275377592525476247687059423971845408843326729194860442577397403017518633126002061711589787796434834004125579197582623 (141 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1655651950
Step 1 took 20569ms
********** Factor found in step 1: 225167822909311193771939915964703697
Found probable prime factor of 36 digits: 225167822909311193771939915964703697
Composite cofactor 449269654046257004984956784811621039356018734468246305859975642850924126367108968544894530278674215128559 has 105 digits
execution environment 実行環境
Pentiun 4 2.4GHz

c105

name 名前Jo Yeong Uk
date 日付July 25, 2007 20:25:54 UTC 2007 年 7 月 26 日 (木) 5 時 25 分 54 秒 (日本時間)
composite number 合成数
449269654046257004984956784811621039356018734468246305859975642850924126367108968544894530278674215128559<105>
prime factors 素因数
26553121374225817669622704350957054548498613613<47>
16919655045991966846784423102442420227389002548091598746443<59>
factorization results 素因数分解の結果
Number: 69997_160
N=449269654046257004984956784811621039356018734468246305859975642850924126367108968544894530278674215128559
  ( 105 digits)
Divisors found:
 r1=26553121374225817669622704350957054548498613613 (pp47)
 r2=16919655045991966846784423102442420227389002548091598746443 (pp59)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 8.63 hours.
Scaled time: 18.49 units (timescale=2.142).
Factorization parameters were as follows:
name: 69997_160
n: 449269654046257004984956784811621039356018734468246305859975642850924126367108968544894530278674215128559
skew: 10958.86
# norm 7.52e+14
c5: 43560
c4: -563864382
c3: -51657033522313
c2: 36279037644759719
c1: 357816660151572433929
c0: 516503811917770537490127
# alpha -6.49
Y1: 32038029803
Y0: -100619974011831009902
# Murphy_E 2.05e-09
# M 112706527664659458380579445234447723037480698246914182616771058378695853459900351089940084316930206294864
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, 1320001)
Primes: RFBsize:135072, AFBsize:135315, largePrimes:4535175 encountered
Relations: rels:4601948, finalFF:406094
Max relations in full relation-set: 28
Initial matrix: 270467 x 406094 with sparse part having weight 36895626.
Pruned matrix : 194220 x 195636 with weight 16421677.
Polynomial selection time: 0.43 hours.
Total sieving time: 7.88 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.17 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
gnfs,104,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,49,49,2.6,2.6,60000
total time: 8.63 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: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Total of 4 processors activated (19246.12 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

7×10161-3

c140

name 名前Robert Backstrom
date 日付October 2, 2007 01:56:45 UTC 2007 年 10 月 2 日 (火) 10 時 56 分 45 秒 (日本時間)
composite number 合成数
66816649918141495127926394200224912688873813650781970983701894207994243406438544537584681883365367975168764122211116754043488833134562721449<140>
prime factors 素因数
5434034586523956104106766412088428719802308238404951<52>
12295955952110120403085408303775786006169912054674465432621806697568821168788407881446399<89>
factorization results 素因数分解の結果
Number: n
N=66816649918141495127926394200224912688873813650781970983701894207994243406438544537584681883365367975168764122211116754043488833134562721449
  ( 140 digits)
SNFS difficulty: 161 digits.
Divisors found:

Tue Oct 02 11:41:36 2007  prp52 factor: 5434034586523956104106766412088428719802308238404951
Tue Oct 02 11:41:36 2007  prp89 factor: 12295955952110120403085408303775786006169912054674465432621806697568821168788407881446399
Tue Oct 02 11:41:36 2007  elapsed time 02:02:16 (Msieve 1.26)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 53.37 hours.
Scaled time: 70.61 units (timescale=1.323).
Factorization parameters were as follows:
name: KA_6_9_160_7
n: 66816649918141495127926394200224912688873813650781970983701894207994243406438544537584681883365367975168764122211116754043488833134562721449
skew: 0.53
deg: 5
c5: 70
c0: -3
m: 100000000000000000000000000000000
type: snfs
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
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, 2500000)
Primes: RFBsize:250150, AFBsize:249361, largePrimes:7482224 encountered
Relations: rels:6975734, finalFF:559949
Max relations in full relation-set: 28
Initial matrix: 499578 x 559949 with sparse part having weight 47483613.
Pruned matrix : 454399 x 456960 with weight 33007219.
Total sieving time: 53.09 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 53.37 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

7×10163-3

c147

name 名前Robert Backstrom
date 日付August 16, 2007 08:40:30 UTC 2007 年 8 月 16 日 (木) 17 時 40 分 30 秒 (日本時間)
composite number 合成数
750506410349228396108340941035609903362273370421470668905748757604180204449969666910202490334397310209946975430176004793022692543599630852809236949<147>
prime factors 素因数
18834724717582733339854276484953<32>
39846954049113870438326350054437585548327057756753553930562437288636637623138186710621577302650844411531338277069533<116>
factorization results 素因数分解の結果
Number: n
N=750506410349228396108340941035609903362273370421470668905748757604180204449969666910202490334397310209946975430176004793022692543599630852809236949
  ( 147 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=18834724717582733339854276484953 (pp32)
 r2=39846954049113870438326350054437585548327057756753553930562437288636637623138186710621577302650844411531338277069533 (pp116)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 69.78 hours.
Scaled time: 94.62 units (timescale=1.356).
Factorization parameters were as follows:
name: KA_6_9_162_7
n: 750506410349228396108340941035609903362273370421470668905748757604180204449969666910202490334397310209946975430176004793022692543599630852809236949
skew: 1.00
deg: 5
c5: 7000
c0: -3
m: 100000000000000000000000000000000
type: snfs
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 2900001)
Primes: RFBsize:250150, AFBsize:249771, largePrimes:7592845 encountered
Relations: rels:7109288, finalFF:566068
Max relations in full relation-set: 28
Initial matrix: 499988 x 566068 with sparse part having weight 44087913.
Pruned matrix : 452753 x 455316 with weight 32088899.
Total sieving time: 64.59 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 4.73 hours.
Total square root time: 0.15 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 69.78 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

7×10164-3

c155

name 名前Robert Backstrom
date 日付August 8, 2007 05:34:24 UTC 2007 年 8 月 8 日 (水) 14 時 34 分 24 秒 (日本時間)
composite number 合成数
20999470206256118682944798667139458618641061580335085268363922120761568297261969524524443030033995145039545360363662467592334735070279038086473229794668101<155>
prime factors 素因数
610889581248729734327409484516692590832461<42>
34375230566759292489277721179939552331809978623383280776559465068189748526644096155791768378027428880241905345241<113>
factorization results 素因数分解の結果
Number: n
N=20999470206256118682944798667139458618641061580335085268363922120761568297261969524524443030033995145039545360363662467592334735070279038086473229794668101
  ( 155 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=610889581248729734327409484516692590832461 (pp42)
 r2=34375230566759292489277721179939552331809978623383280776559465068189748526644096155791768378027428880241905345241 (pp113)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 71.77 hours.
Scaled time: 103.50 units (timescale=1.442).
Factorization parameters were as follows:
name: KA_6_9_163_7
n: 20999470206256118682944798667139458618641061580335085268363922120761568297261969524524443030033995145039545360363662467592334735070279038086473229794668101
skew: 1.34
deg: 5
c5: 7
c0: -30
m: 1000000000000000000000000000000000
type: snfs
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 3400001)
Primes: RFBsize:250150, AFBsize:249671, largePrimes:7747415 encountered
Relations: rels:7257732, finalFF:563161
Max relations in full relation-set: 28
Initial matrix: 499886 x 563161 with sparse part having weight 46183744.
Pruned matrix : 466798 x 469361 with weight 34859573.
Total sieving time: 64.19 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 7.23 hours.
Total square root time: 0.09 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 71.77 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

7×10166-3

c163

name 名前Robert Backstrom
date 日付August 1, 2007 04:47:36 UTC 2007 年 8 月 1 日 (水) 13 時 47 分 36 秒 (日本時間)
composite number 合成数
6039168320248468639461651281166422224139418514364593218876714692433784833060132861703045466310068156328185661288931067207316021050815287723233543266327322922957467<163>
prime factors 素因数
153583387324042801184481984693585153371533<42>
2067097285247959280399851585395695989586036741113<49>
19022691978446235710973810593733140748567297663247313327626391472876229823<74>
factorization results 素因数分解の結果
Number: n
N=6039168320248468639461651281166422224139418514364593218876714692433784833060132861703045466310068156328185661288931067207316021050815287723233543266327322922957467
  ( 163 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=153583387324042801184481984693585153371533 (pp42)
 r2=2067097285247959280399851585395695989586036741113 (pp49)
 r3=19022691978446235710973810593733140748567297663247313327626391472876229823 (pp74)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 97.45 hours.
Scaled time: 128.92 units (timescale=1.323).
Factorization parameters were as follows:
name: KA_6_9_165_7
n: 6039168320248468639461651281166422224139418514364593218876714692433784833060132861703045466310068156328185661288931067207316021050815287723233543266327322922957467
skew: 0.53
deg: 5
c5: 70
c0: -3
m: 1000000000000000000000000000000000
type: snfs
rlim: 4000000
alim: 4000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 4000001)
Primes: RFBsize:283146, AFBsize:281947, largePrimes:7979224 encountered
Relations: rels:7489789, finalFF:636155
Max relations in full relation-set: 48
Initial matrix: 565160 x 636155 with sparse part having weight 53405311.
Pruned matrix : 527962 x 530851 with weight 38879892.
Total sieving time: 87.02 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 9.88 hours.
Total square root time: 0.23 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4000000,4000000,28,28,48,48,2.5,2.5,100000
total time: 97.45 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

7×10170-3

c131

name 名前matsui
date 日付May 16, 2009 22:13:54 UTC 2009 年 5 月 17 日 (日) 7 時 13 分 54 秒 (日本時間)
composite number 合成数
17250424689668834463131362979763025513450745051057365655701643284974919725337463089471895545976264413296899763464783165863925040323<131>
prime factors 素因数
10977412137489495157200178568512469140915422117788701<53>
1571447302297785507555396244163363334714959786940690062024588758974391266160223<79>
factorization results 素因数分解の結果
N=17250424689668834463131362979763025513450745051057365655701643284974919725337463089471895545976264413296899763464783165863925040323
  ( 131 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=10977412137489495157200178568512469140915422117788701 (pp53)
 r2=1571447302297785507555396244163363334714959786940690062024588758974391266160223 (pp79)
Version: Msieve v. 1.41
Total time: 43.50 hours.
Scaled time: 95.83 units (timescale=2.203).
Factorization parameters were as follows:
n: 17250424689668834463131362979763025513450745051057365655701643284974919725337463089471895545976264413296899763464783165863925040323
m: 10000000000000000000000000000000000
deg: 5
c5: 7
c0: -3
skew: 0.84
type: snfs
lss: 1
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4

Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2450000, 4550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 925874 x 926122
Total sieving time: 41.19 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 2.10 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,170.000,5,0,0,0,0,0,0,0,0,4900000,4900000,27,27,52,52,2.4,2.4,100000
total time: 43.50 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 21, 2007 09:00:00 UTC 2007 年 7 月 21 日 (土) 18 時 0 分 0 秒 (日本時間)

7×10175-3

c140

name 名前Serge Batalov
date 日付August 6, 2008 08:17:16 UTC 2008 年 8 月 6 日 (水) 17 時 17 分 16 秒 (日本時間)
composite number 合成数
19984607054330740912703855580100139328407432376240343311267896948814673248850419578684181303856398318618245714788419156677802736650624040529<140>
prime factors 素因数
35295282339376795682867577001<29>
566211848432648253496266298077169810224298129799525026373713085611725821142446735214380281508918974507036807529<111>
factorization results 素因数分解の結果
Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=3820573387
Step 1 took 4765ms
********** Factor found in step 1: 35295282339376795682867577001
Found probable prime factor of 29 digits: 35295282339376795682867577001
Probable prime cofactor 566211848432648253496266298077169810224298129799525026373713085611725821142446735214380281508918974507036807529 has 111 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 KamadaJuly 21, 2007 09:00:00 UTC 2007 年 7 月 21 日 (土) 18 時 0 分 0 秒 (日本時間)

7×10176-3

c91

name 名前Kenichiro Yamaguchi
date 日付July 22, 2007 07:43:58 UTC 2007 年 7 月 22 日 (日) 16 時 43 分 58 秒 (日本時間)
composite number 合成数
1416835704704247144924541052389267917368021881114236322739410829329143705256446130294658837<91>
prime factors 素因数
226468883271578475618379567962241702278977<42>
6256204756417669062376992564657832577417523732181<49>
factorization results 素因数分解の結果
C91=P42*P49
P42=226468883271578475618379567962241702278977
P49=6256204756417669062376992564657832577417523732181

Sun Jul 22 11:36:57 2007  Msieve v. 1.25
Sun Jul 22 11:36:57 2007  random seeds: afc45a78 7d8aa159
Sun Jul 22 11:36:57 2007  factoring 1416835704704247144924541052389267917368021881114236322739410829329143705256446130294658837 (91 digits)
Sun Jul 22 11:36:58 2007  commencing quadratic sieve (90-digit input)
Sun Jul 22 11:36:58 2007  using multiplier of 5
Sun Jul 22 11:36:58 2007  using 32kb Pentium M sieve core
Sun Jul 22 11:36:58 2007  sieve interval: 36 blocks of size 32768
Sun Jul 22 11:36:58 2007  processing polynomials in batches of 6
Sun Jul 22 11:36:58 2007  using a sieve bound of 1652491 (62295 primes)
Sun Jul 22 11:36:58 2007  using large prime bound of 145419208 (27 bits)
Sun Jul 22 11:36:58 2007  using double large prime bound of 492854925172808 (42-49 bits)
Sun Jul 22 11:36:58 2007  using trial factoring cutoff of 49 bits
Sun Jul 22 11:36:58 2007  polynomial 'A' values have 12 factors
Sun Jul 22 14:18:41 2007  62560 relations (15701 full + 46859 combined from 707243 partial), need 62391
Sun Jul 22 14:18:54 2007  begin with 722944 relations
Sun Jul 22 14:18:55 2007  reduce to 155793 relations in 10 passes
Sun Jul 22 14:18:55 2007  attempting to read 155793 relations
Sun Jul 22 14:19:06 2007  recovered 155793 relations
Sun Jul 22 14:19:06 2007  recovered 138792 polynomials
Sun Jul 22 14:19:06 2007  attempting to build 62560 cycles
Sun Jul 22 14:19:06 2007  found 62560 cycles in 5 passes
Sun Jul 22 14:19:06 2007  distribution of cycle lengths:
Sun Jul 22 14:19:06 2007     length 1 : 15701
Sun Jul 22 14:19:06 2007     length 2 : 11811
Sun Jul 22 14:19:06 2007     length 3 : 11050
Sun Jul 22 14:19:06 2007     length 4 : 8666
Sun Jul 22 14:19:06 2007     length 5 : 6156
Sun Jul 22 14:19:06 2007     length 6 : 3886
Sun Jul 22 14:19:06 2007     length 7 : 2377
Sun Jul 22 14:19:06 2007     length 9+: 2913
Sun Jul 22 14:19:06 2007  largest cycle: 17 relations
Sun Jul 22 14:19:07 2007  matrix is 62295 x 62560 with weight 3738751 (avg 59.76/col)
Sun Jul 22 14:19:08 2007  filtering completed in 3 passes
Sun Jul 22 14:19:08 2007  matrix is 59024 x 59088 with weight 3551902 (avg 60.11/col)
Sun Jul 22 14:19:09 2007  saving the first 48 matrix rows for later
Sun Jul 22 14:19:09 2007  matrix is 58976 x 59088 with weight 2711102 (avg 45.88/col)
Sun Jul 22 14:19:09 2007  matrix includes 64 packed rows
Sun Jul 22 14:19:09 2007  using block size 23635 for processor cache size 2048 kB
Sun Jul 22 14:19:09 2007  commencing Lanczos iteration
Sun Jul 22 14:20:07 2007  lanczos halted after 934 iterations
Sun Jul 22 14:20:07 2007  recovered 17 nontrivial dependencies
Sun Jul 22 14:20:08 2007  prp42 factor: 226468883271578475618379567962241702278977
Sun Jul 22 14:20:08 2007  prp49 factor: 6256204756417669062376992564657832577417523732181
Sun Jul 22 14:20:08 2007  elapsed time 02:43:11
software ソフトウェア
Msieve v. 1.25
execution environment 実行環境
Pentium M 760 (2GHz), Windows XP

7×10179-3

c180

name 名前Jo Yeong Uk
date 日付August 13, 2007 13:15:40 UTC 2007 年 8 月 13 日 (月) 22 時 15 分 40 秒 (日本時間)
composite number 合成数
699999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997<180>
prime factors 素因数
83251080449638728944649575376467201073537285846278352308844383882413696253<74>
8408299282355291944507594847871979982320198163187651997979672667927349257101780731688554079997824589461249<106>
factorization results 素因数分解の結果
Number: 69997_179
N=699999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997
  ( 180 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=83251080449638728944649575376467201073537285846278352308844383882413696253 (pp74)
 r2=8408299282355291944507594847871979982320198163187651997979672667927349257101780731688554079997824589461249 (pp106)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 259.62 hours.
Scaled time: 556.63 units (timescale=2.144).
Factorization parameters were as follows:
n: 699999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997
m: 1000000000000000000000000000000000000
c5: 7
c0: -30
skew: 1.34
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, 9200001)
Primes: RFBsize:664579, AFBsize:664690, largePrimes:11188054 encountered
Relations: rels:11548928, finalFF:1569648
Max relations in full relation-set: 28
Initial matrix: 1329334 x 1569648 with sparse part having weight 96955888.
Pruned matrix : 1111881 x 1118591 with weight 66486936.
Total sieving time: 248.05 hours.
Total relation processing time: 0.34 hours.
Matrix solve time: 11.11 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: 259.62 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: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407677)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405121)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405131)
Total of 4 processors activated (19246.10 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

7×10180-3

c156

name 名前Kenji Ibusuki
date 日付October 8, 2013 19:15:12 UTC 2013 年 10 月 9 日 (水) 4 時 15 分 12 秒 (日本時間)
composite number 合成数
537887797221338239985186819277144119355025255717248543315379541782009667672745012748098259111507068964637467597105872519710335221559683111765232140208985027<156>
prime factors 素因数
10410857401760907405765318871488626486365186725727774670121996270034345806871<77>
51666042138888495750238115025686628528392926770393748144606679938478062325654837<80>
factorization results 素因数分解の結果
Number: 69997_180
N=537887797221338239985186819277144119355025255717248543315379541782009667672745012748098259111507068964637467597105872519710335221559683111765232140208985027
  ( 156 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=10410857401760907405765318871488626486365186725727774670121996270034345806871 (pp77)
 r2=51666042138888495750238115025686628528392926770393748144606679938478062325654837 (pp80)
Msieve version: Msieve v. 1.49 (SVN unknown)
GGNFS version: GGNFS-0.77.1-VC8(UTE)
Total time: 117.04 hours.
Scaled time: 521.06 units (timescale=4.452).
Factorization parameters were as follows:
n: 537887797221338239985186819277144119355025255717248543315379541782009667672745012748098259111507068964637467597105872519710335221559683111765232140208985027
m: 1000000000000000000000000000000000000
deg: 5
c5: 7
c0: -3
skew: 0.84
# Murphy_E = 1.32e-10
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 10000
relslim: 30000000

Polynomial score was as follows:
skew 0.84, size 2.287e-012, alpha 0.848, combined = 1.320e-010 rroots = 1 
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Sieved special-q in [3600000, 8710001)
Relations: raw-rels:24627762 rels:22346964, finalFF:1124462
Pruned matrix : 1073912 x 1074142
Total sieving time: 112.29 hours.
Total relation processing time: 1.06 hours.
Total matrix build processing time: 3.02 hours.
Matrix pruned processing time: 0.00 hours.
Matrix solve time: 0.64 hours.
Total time of square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,55,55,2.5,2.5,100000
total time: 117.04 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
Msieve v. 1.49 (SVN unknown) + GGNFS-0.77.1-VC8 with 
factMsieve.pl (decomposed + modified) snfs
execution environment 実行環境
Core i7 2600 - Windows7 64bit (7 threads used),
Core i7 4770 - Windows7 64bit (8 threads used) and
Core 2 Quad Q6600 - Windows Vista 32bit (4 threads used)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 21, 2007 09:00:00 UTC 2007 年 7 月 21 日 (土) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336300Dmitry DomanovMay 10, 2011 06:08:51 UTC 2011 年 5 月 10 日 (火) 15 時 8 分 51 秒 (日本時間)
2036Wataru SakaiJune 29, 2012 00:23:10 UTC 2012 年 6 月 29 日 (金) 9 時 23 分 10 秒 (日本時間)

7×10182-3

c140

name 名前Jo Yeong Uk
date 日付April 21, 2014 22:14:26 UTC 2014 年 4 月 22 日 (火) 7 時 14 分 26 秒 (日本時間)
composite number 合成数
11433636644234778348660395731264960682015209624480966336651982693336850257224692954252432995438729638484355741967752366132936089783132145893<140>
prime factors 素因数
38562549324224800163366676089725693246956659796103927251469669<62>
296495870853958950477370697377647132758749452746196181594675970268549307252097<78>
factorization results 素因数分解の結果
Number: 69997_182
N=11433636644234778348660395731264960682015209624480966336651982693336850257224692954252432995438729638484355741967752366132936089783132145893
  ( 140 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=38562549324224800163366676089725693246956659796103927251469669
 r2=296495870853958950477370697377647132758749452746196181594675970268549307252097
Version: 
Total time: 52.28 hours.
Scaled time: 274.85 units (timescale=5.257).
Factorization parameters were as follows:
n: 11433636644234778348660395731264960682015209624480966336651982693336850257224692954252432995438729638484355741967752366132936089783132145893
m: 1000000000000000000000000000000000000
deg: 5
c5: 700
c0: -3
skew: 0.34
# Murphy_E = 9.403e-11
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3600000, 6000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18268608
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1331850 x 1332098
Total sieving time: 49.05 hours.
Total relation processing time: 1.14 hours.
Matrix solve time: 2.00 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,53,53,2.5,2.5,100000
total time: 52.28 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49374320k/51380224k available (5220k kernel code, 1085960k absent, 919944k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.06 BogoMIPS (lpj=3400031)
Total of 12 processors activated (81600.74 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 21, 2007 09:00:00 UTC 2007 年 7 月 21 日 (土) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61300300Dmitry DomanovMay 10, 2011 06:08:59 UTC 2011 年 5 月 10 日 (火) 15 時 8 分 59 秒 (日本時間)
1000Dmitry DomanovApril 17, 2013 05:18:09 UTC 2013 年 4 月 17 日 (水) 14 時 18 分 9 秒 (日本時間)
4511e63700 / 41922000Jose PascoaSeptember 16, 2013 07:56:35 UTC 2013 年 9 月 16 日 (月) 16 時 56 分 35 秒 (日本時間)
850Serge BatalovNovember 8, 2013 01:44:59 UTC 2013 年 11 月 8 日 (金) 10 時 44 分 59 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:06:09 UTC 2013 年 11 月 9 日 (土) 2 時 6 分 9 秒 (日本時間)

7×10184-3

c160

name 名前Ignacio Santos
date 日付January 11, 2014 19:44:44 UTC 2014 年 1 月 12 日 (日) 4 時 44 分 44 秒 (日本時間)
composite number 合成数
9722643564953313350773753866272360627529944148390541427653847146370597126135046280899786673925276605170823019823239434533651967533474739368075968479380869919671<160>
prime factors 素因数
419657197882466330835892880741648934017<39>
composite cofactor 合成数の残り
23168061012684787951647373593505924579531385218569504565074494180515909594249336954049158874356997402895319804386059639863<122>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3661707285
Step 1 took 6563ms
Step 2 took 4796ms
********** Factor found in step 2: 419657197882466330835892880741648934017
Found probable prime factor of 39 digits: 419657197882466330835892880741648934017
Composite cofactor 23168061012684787951647373593505924579531385218569504565074494180515909594249336954049158874356997402895319804386059639863 has 122 digits
software ソフトウェア
GMP-ECM 7.0

c122

name 名前Cyp
date 日付January 14, 2014 23:41:28 UTC 2014 年 1 月 15 日 (水) 8 時 41 分 28 秒 (日本時間)
composite number 合成数
23168061012684787951647373593505924579531385218569504565074494180515909594249336954049158874356997402895319804386059639863<122>
prime factors 素因数
36486327920777884367613635759244640504554794714135113<53>
634979246554742018609620477133706275083774231222429042768474368090751<69>
factorization results 素因数分解の結果
01/14/14 18:23:38 v1.34.3, nfs: commencing nfs on c122: 23168061012684787951647373593505924579531385218569504565074494180515909594249336954049158874356997402895319804386059639863
01/14/14 18:23:38 v1.34.3, nfs: commencing poly selection with 8 threads
01/14/14 18:23:38 v1.34.3, nfs: setting deadline of 2329 seconds
01/14/14 19:05:51 v1.34.3, nfs: completed 184 ranges of size 250 in 2532.6006 seconds
01/14/14 19:05:51 v1.34.3, nfs: best poly = # norm 1.361243e-11 alpha -6.226991 e 2.383e-10 rroots 3
01/14/14 19:05:51 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/14/14 19:11:29 v1.34.3, nfs: commencing lattice sieving with 8 threads
[45 lines snipped]
01/14/14 23:40:31 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/14/14 23:46:30 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/14/14 23:52:45 v1.34.3, nfs: commencing msieve filtering
01/14/14 23:54:36 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/14 00:00:25 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/14 00:06:45 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/14 00:12:59 v1.34.3, nfs: commencing msieve filtering
01/15/14 00:15:22 v1.34.3, nfs: commencing msieve linear algebra
01/15/14 00:37:20 v1.34.3, nfs: commencing msieve sqrt
01/15/14 00:41:27 v1.34.3, prp53 = 36486327920777884367613635759244640504554794714135113
01/15/14 00:41:27 v1.34.3, prp69 = 634979246554742018609620477133706275083774231222429042768474368090751
01/15/14 00:41:27 v1.34.3, NFS elapsed time = 22668.7701 seconds.
01/15/14 00:41:27 v1.34.3, 
01/15/14 00:41:27 v1.34.3, 
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 21, 2007 09:00:00 UTC 2007 年 7 月 21 日 (土) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61600 / 2336300Dmitry DomanovMay 10, 2011 06:09:06 UTC 2011 年 5 月 10 日 (火) 15 時 9 分 6 秒 (日本時間)
1000Dmitry DomanovApril 17, 2013 05:18:18 UTC 2013 年 4 月 17 日 (水) 14 時 18 分 18 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:58:58 UTC 2014 年 1 月 9 日 (木) 13 時 58 分 58 秒 (日本時間)

7×10186-3

c155

name 名前Serge Batalov
date 日付February 14, 2009 04:43:45 UTC 2009 年 2 月 14 日 (土) 13 時 43 分 45 秒 (日本時間)
composite number 合成数
14621403421040487441794020856693214899121024125917413813648337935947560720624843473113114619675666404487021019217679430840897039953484769182063566801429791<155>
prime factors 素因数
92337907616891958329226316547999<32>
158346705035860066410666443177431638272396001523007818205086265361406331827017357270653495045419576915774032335665253102209<123>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=2080995158
Step 1 took 52056ms
Step 2 took 32746ms
********** Factor found in step 2: 92337907616891958329226316547999
Found probable prime factor of 32 digits: 92337907616891958329226316547999
Probable prime cofactor 158346705035860066410666443177431638272396001523007818205086265361406331827017357270653495045419576915774032335665253102209 has 123 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 KamadaJuly 21, 2007 09:00:00 UTC 2007 年 7 月 21 日 (土) 18 時 0 分 0 秒 (日本時間)

7×10188-3

c179

name 名前Robert Backstrom
date 日付February 6, 2012 19:29:22 UTC 2012 年 2 月 7 日 (火) 4 時 29 分 22 秒 (日本時間)
composite number 合成数
91875383248399461228210070722812700198880030231915109221737138121662103588038518996452901059903650650463925528653550690867267191900443873562196403136312315293590063711006826195681<179>
prime factors 素因数
8980629593779837881775872309824081556163029918148921<52>
10230394460543631963862926785288748328173848556134820932383789990085930266983455379884348909161445413917516502102654062516131561<128>
factorization results 素因数分解の結果
Number: n
N=91875383248399461228210070722812700198880030231915109221737138121662103588038518996452901059903650650463925528653550690867267191900443873562196403136312315293590063711006826195681
  ( 179 digits)
SNFS difficulty: 188 digits.
Divisors found:

Tue Feb  7 04:44:24 2012  prp52 factor: 8980629593779837881775872309824081556163029918148921
Tue Feb  7 04:44:24 2012  prp128 factor: 10230394460543631963862926785288748328173848556134820932383789990085930266983455379884348909161445413917516502102654062516131561
Tue Feb  7 04:44:24 2012  elapsed time 02:47:49 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.646).
Factorization parameters were as follows:
name: KA_69997_188
n: 91875383248399461228210070722812700198880030231915109221737138121662103588038518996452901059903650650463925528653550690867267191900443873562196403136312315293590063711006826195681
m: 10000000000000000000000000000000000000
#  c179, diff: 188.85
skew: 0.21
deg: 5
c5: 7000
c0: -3
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 13100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7602793 hash collisions in 78693933 relations (73684233 unique)
Msieve: matrix is 1218386 x 1218624 (339.9 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.06 BogoMIPS (lpj=2797533)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 21, 2007 09:00:00 UTC 2007 年 7 月 21 日 (土) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovMay 10, 2011 06:09:15 UTC 2011 年 5 月 10 日 (火) 15 時 9 分 15 秒 (日本時間)

7×10189-3

c179

name 名前Robert Backstrom
date 日付February 18, 2012 22:54:22 UTC 2012 年 2 月 19 日 (日) 7 時 54 分 22 秒 (日本時間)
composite number 合成数
14125368419712320825673675597703805285941072512121280071272444725825457754600577601605191560159724628660862890603972726696432475334655417701956526606131844719617738911920435133537<179>
prime factors 素因数
3776109085412750517153311913748972678304046315269<49>
3740720434766872348365351117177538899374989956055202566679779940172660680562211266192691020932308804012313181754465823523384768173<130>
factorization results 素因数分解の結果
Number: n
N=14125368419712320825673675597703805285941072512121280071272444725825457754600577601605191560159724628660862890603972726696432475334655417701956526606131844719617738911920435133537
  ( 179 digits)
SNFS difficulty: 189 digits.
Divisors found:

Sun Feb 19 09:48:13 2012  prp49 factor: 3776109085412750517153311913748972678304046315269
Sun Feb 19 09:48:13 2012  prp130 factor: 3740720434766872348365351117177538899374989956055202566679779940172660680562211266192691020932308804012313181754465823523384768173
Sun Feb 19 09:48:13 2012  elapsed time 03:23:18 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.652).
Factorization parameters were as follows:
name: KA_69997_189
n: 14125368419712320825673675597703805285941072512121280071272444725825457754600577601605191560159724628660862890603972726696432475334655417701956526606131844719617738911920435133537
m: 10000000000000000000000000000000000000
#  c179, diff: 189.85
skew: 0.13
deg: 5
c5: 70000
c0: -3
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 17200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8220138 hash collisions in 79448715 relations (73747719 unique)
Msieve: matrix is 1381879 x 1382119 (387.3 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.12 BogoMIPS (lpj=2798061)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797563)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797551)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Total of 8 processors activated (44761.89 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 21, 2007 09:00:00 UTC 2007 年 7 月 21 日 (土) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovMay 10, 2011 06:09:22 UTC 2011 年 5 月 10 日 (火) 15 時 9 分 22 秒 (日本時間)

7×10192-3

c148

composite cofactor 合成数の残り
4231782707994587956134028190296576655567060539335886889722720908885008293628960341950823255755326329036235653962920699540873112927961497889965502537<148>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 21, 2007 09:00:00 UTC 2007 年 7 月 21 日 (土) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62900300Dmitry DomanovMay 10, 2011 06:09:31 UTC 2011 年 5 月 10 日 (火) 15 時 9 分 31 秒 (日本時間)
1000Dmitry DomanovApril 17, 2013 05:18:28 UTC 2013 年 4 月 17 日 (水) 14 時 18 分 28 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:58:59 UTC 2014 年 1 月 9 日 (木) 13 時 58 分 59 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:09 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 9 秒 (日本時間)

7×10193-3

c125

name 名前Robert Backstrom
date 日付January 28, 2008 01:07:51 UTC 2008 年 1 月 28 日 (月) 10 時 7 分 51 秒 (日本時間)
composite number 合成数
10109151638335425261629937696153456873108424307842542463467703597952700044091565948930267817561035236132003953305307329551667<125>
prime factors 素因数
569756699704183297346120295651615869<36>
296810751027062020613622711817064044961881<42>
59778586616800168827028392336187139434362916103<47>
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 10109151638335425261629937696153456873108424307842542463467703597952700044091565948930267817561035236132003953305307329551667 (125 digits)
Using B1=1906000, B2=2104619585, polynomial Dickson(6), sigma=2468668459
Step 1 took 20594ms
Step 2 took 12187ms
********** Factor found in step 2: 569756699704183297346120295651615869
Found probable prime factor of 36 digits: 569756699704183297346120295651615869
Composite cofactor 17742927189068736669754163160818939750150478560748635115421055932744873894014336636069743 has 89 digits


Mon Jan 28 09:08:45 2008  
Mon Jan 28 09:08:45 2008  
Mon Jan 28 09:08:45 2008  Msieve v. 1.33
Mon Jan 28 09:08:45 2008  random seeds: eaf4fd80 85d2fd47
Mon Jan 28 09:08:45 2008  factoring 17742927189068736669754163160818939750150478560748635115421055932744873894014336636069743 (89 digits)
Mon Jan 28 09:08:46 2008  searching for 15-digit factors
Mon Jan 28 09:08:47 2008  commencing quadratic sieve (89-digit input)
Mon Jan 28 09:08:47 2008  using multiplier of 23
Mon Jan 28 09:08:47 2008  using 64kb Opteron sieve core
Mon Jan 28 09:08:47 2008  sieve interval: 15 blocks of size 65536
Mon Jan 28 09:08:47 2008  processing polynomials in batches of 7
Mon Jan 28 09:08:47 2008  using a sieve bound of 1543813 (58667 primes)
Mon Jan 28 09:08:47 2008  using large prime bound of 123505040 (26 bits)
Mon Jan 28 09:08:47 2008  using double large prime bound of 367309670191840 (42-49 bits)
Mon Jan 28 09:08:47 2008  using trial factoring cutoff of 49 bits
Mon Jan 28 09:08:47 2008  polynomial 'A' values have 11 factors
Mon Jan 28 10:14:23 2008  58789 relations (15537 full + 43252 combined from 619377 partial), need 58763
Mon Jan 28 10:14:24 2008  begin with 634913 relations
Mon Jan 28 10:14:24 2008  reduce to 142871 relations in 9 passes
Mon Jan 28 10:14:24 2008  attempting to read 142871 relations
Mon Jan 28 10:14:26 2008  recovered 142871 relations
Mon Jan 28 10:14:26 2008  recovered 122497 polynomials
Mon Jan 28 10:14:26 2008  attempting to build 58789 cycles
Mon Jan 28 10:14:26 2008  found 58789 cycles in 6 passes
Mon Jan 28 10:14:27 2008  distribution of cycle lengths:
Mon Jan 28 10:14:27 2008     length 1 : 15537
Mon Jan 28 10:14:27 2008     length 2 : 11431
Mon Jan 28 10:14:27 2008     length 3 : 10411
Mon Jan 28 10:14:27 2008     length 4 : 7960
Mon Jan 28 10:14:27 2008     length 5 : 5547
Mon Jan 28 10:14:27 2008     length 6 : 3403
Mon Jan 28 10:14:27 2008     length 7 : 2090
Mon Jan 28 10:14:27 2008     length 9+: 2410
Mon Jan 28 10:14:27 2008  largest cycle: 18 relations
Mon Jan 28 10:14:27 2008  matrix is 58667 x 58789 (14.5 MB) with weight 3552843 (60.43/col)
Mon Jan 28 10:14:27 2008  sparse part has weight 3552843 (60.43/col)
Mon Jan 28 10:14:28 2008  filtering completed in 3 passes
Mon Jan 28 10:14:28 2008  matrix is 54808 x 54872 (13.6 MB) with weight 3353779 (61.12/col)
Mon Jan 28 10:14:28 2008  sparse part has weight 3353779 (61.12/col)
Mon Jan 28 10:14:29 2008  saving the first 48 matrix rows for later
Mon Jan 28 10:14:29 2008  matrix is 54760 x 54872 (10.2 MB) with weight 2800225 (51.03/col)
Mon Jan 28 10:14:29 2008  sparse part has weight 2340902 (42.66/col)
Mon Jan 28 10:14:29 2008  matrix includes 64 packed rows
Mon Jan 28 10:14:29 2008  using block size 21845 for processor cache size 512 kB
Mon Jan 28 10:14:29 2008  commencing Lanczos iteration
Mon Jan 28 10:14:29 2008  memory use: 9.1 MB
Mon Jan 28 10:14:58 2008  lanczos halted after 868 iterations (dim = 54760)
Mon Jan 28 10:14:58 2008  recovered 18 nontrivial dependencies
Mon Jan 28 10:14:59 2008  prp42 factor: 296810751027062020613622711817064044961881
Mon Jan 28 10:14:59 2008  prp47 factor: 59778586616800168827028392336187139434362916103
Mon Jan 28 10:14:59 2008  elapsed time 01:06:14

7×10195-3

c183

name 名前Serge Batalov
date 日付February 14, 2009 06:06:46 UTC 2009 年 2 月 14 日 (土) 15 時 6 分 46 秒 (日本時間)
composite number 合成数
918539588246493132935068509454776320086921286266101982591442196994044734041708131696939205625783451198975693424904815076338975944045830688897840941006806770016417681419747938776828919<183>
prime factors 素因数
24527621194063819800299250874272523<35>
composite cofactor 合成数の残り
37449191708358504951512531418661234354118514299816902412910533299054998461221910284706013330562360986172625399055406703880777217563744499862965712453<149>
factorization results 素因数分解の結果
Using B1=11000000, B2=96175819756, polynomial Dickson(12), sigma=2507872870
Step 1 took 59190ms
Step 2 took 46541ms
********** Factor found in step 2: 24527621194063819800299250874272523
Found probable prime factor of 35 digits: 24527621194063819800299250874272523
Composite cofactor has 149 digits
software ソフトウェア
GMP-ECM 6.2.1

c149

name 名前Serge Batalov
date 日付February 14, 2009 19:51:17 UTC 2009 年 2 月 15 日 (日) 4 時 51 分 17 秒 (日本時間)
composite number 合成数
37449191708358504951512531418661234354118514299816902412910533299054998461221910284706013330562360986172625399055406703880777217563744499862965712453<149>
prime factors 素因数
10810175462712766378399682400374658337<38>
3464253826178025203451630850730623859360665647158270629727669693950603939546671253113435093020109567689734805669<112>
factorization results 素因数分解の結果
Using B1=11000000, B2=96175819756, polynomial Dickson(12), sigma=705256189
Step 1 took 58911ms
Step 2 took 44658ms
********** Factor found in step 2: 10810175462712766378399682400374658337
Found probable prime factor of 38 digits: 10810175462712766378399682400374658337
probable prime cofactor 
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 KamadaJuly 21, 2007 09:00:00 UTC 2007 年 7 月 21 日 (土) 18 時 0 分 0 秒 (日本時間)

7×10196-3

c187

name 名前Robert Backstrom
date 日付March 15, 2012 06:14:01 UTC 2012 年 3 月 15 日 (木) 15 時 14 分 1 秒 (日本時間)
composite number 合成数
3881607022794888679488401668023977121541596695989011312917993877823713033823759599134247855736802470398572753237713614848317377423631666845387591236426554586081608677058169654214059092391<187>
prime factors 素因数
141495983476838949092592646497867851174695559554350351260657<60>
27432630435267847935229431019945977082597974015201181064111065842647928558201181966539670098926699405205686622932164705026103063<128>
factorization results 素因数分解の結果
Number: n
N=3881607022794888679488401668023977121541596695989011312917993877823713033823759599134247855736802470398572753237713614848317377423631666845387591236426554586081608677058169654214059092391
  ( 187 digits)
SNFS difficulty: 196 digits.
Divisors found:

Thu Mar 15 17:01:11 2012  prp60 factor: 141495983476838949092592646497867851174695559554350351260657
Thu Mar 15 17:01:11 2012  prp128 factor: 27432630435267847935229431019945977082597974015201181064111065842647928558201181966539670098926699405205686622932164705026103063
Thu Mar 15 17:01:11 2012  elapsed time 06:19:11 (Msieve 1.44 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.659).
Factorization parameters were as follows:
name: KA_69997_196
n: 3881607022794888679488401668023977121541596695989011312917993877823713033823759599134247855736802470398572753237713614848317377423631666845387591236426554586081608677058169654214059092391
m: 1000000000000000000000000000000000000000
#  c187, diff: 196.85
skew: 0.53
deg: 5
c5: 70
c0: -3
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 21300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10676545 hash collisions in 79899077 relations (71189538 unique)
Msieve: matrix is 1669034 x 1669262 (467.8 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.93 BogoMIPS (lpj=2798468)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797560)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Total of 8 processors activated (44762.71 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 21, 2007 09:00:00 UTC 2007 年 7 月 21 日 (土) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovMay 10, 2011 06:09:39 UTC 2011 年 5 月 10 日 (火) 15 時 9 分 39 秒 (日本時間)

7×10197-3

c181

composite cofactor 合成数の残り
4037097952062703265549276427233942757386489774329001553978425862975741353355424331531697110444689706045796958405717590278444664262899875096132251795431724258024168255492200560011667<181>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 21, 2007 09:00:00 UTC 2007 年 7 月 21 日 (土) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62900300Dmitry DomanovMay 10, 2011 06:09:46 UTC 2011 年 5 月 10 日 (火) 15 時 9 分 46 秒 (日本時間)
1000Dmitry DomanovApril 17, 2013 05:18:38 UTC 2013 年 4 月 17 日 (水) 14 時 18 分 38 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:59:00 UTC 2014 年 1 月 9 日 (木) 13 時 59 分 0 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:09 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 9 秒 (日本時間)

7×10198-3

c183

composite cofactor 合成数の残り
154499325256182153115558407746555588390841362966061522626811306977985398007231093124335268324928999720942940078272944371325009226821200737210858116113306504228932477121047305307486039<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 21, 2007 09:00:00 UTC 2007 年 7 月 21 日 (土) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62900300Dmitry DomanovMay 10, 2011 06:09:53 UTC 2011 年 5 月 10 日 (火) 15 時 9 分 53 秒 (日本時間)
1000Dmitry DomanovApril 17, 2013 05:18:47 UTC 2013 年 4 月 17 日 (水) 14 時 18 分 47 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:59:01 UTC 2014 年 1 月 9 日 (木) 13 時 59 分 1 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:10 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 10 秒 (日本時間)

7×10199-3

c165

name 名前Serge Batalov
date 日付May 26, 2014 18:46:31 UTC 2014 年 5 月 27 日 (火) 3 時 46 分 31 秒 (日本時間)
composite number 合成数
760763781030545629973092616189924736339927185854909278993743662222638804836191809745738974932581365007363739900857593020807440212344868225534209281723649678678791999<165>
prime factors 素因数
148490863889449218423534149409903686312968097<45>
5123303623561183197178521374282039005592296982519393433739009002403007263804961068333521848025520122231463235793828473567<121>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=300766072
Step 1 took 12200ms
Step 2 took 5851ms
********** Factor found in step 2: 148490863889449218423534149409903686312968097
Found probable prime factor of 45 digits: 148490863889449218423534149409903686312968097
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 21, 2007 09:00:00 UTC 2007 年 7 月 21 日 (土) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62900300Dmitry DomanovMay 10, 2011 06:10:01 UTC 2011 年 5 月 10 日 (火) 15 時 10 分 1 秒 (日本時間)
1000Dmitry DomanovApril 17, 2013 05:18:55 UTC 2013 年 4 月 17 日 (水) 14 時 18 分 55 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:59:02 UTC 2014 年 1 月 9 日 (木) 13 時 59 分 2 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:10 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 10 秒 (日本時間)

7×10201-3

c193

composite cofactor 合成数の残り
2027562616107630978660091449486877357103273265486432528403014598519483452088404715793070830306741134086579468588530860166754263116443261963232555487543606647979373197676599430119174039197404157<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovApril 17, 2013 05:19:05 UTC 2013 年 4 月 17 日 (水) 14 時 19 分 5 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:59:02 UTC 2014 年 1 月 9 日 (木) 13 時 59 分 2 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:10 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 10 秒 (日本時間)

7×10204-3

c192

name 名前Dmitry Domanov
date 日付April 17, 2013 05:16:00 UTC 2013 年 4 月 17 日 (水) 14 時 16 分 0 秒 (日本時間)
composite number 合成数
226436021233788991818278441964098276246795150361571642939922775695052155928780818111415678807613939624189143785446291276620426759924093132305617879091913747449042319075092494153502021274708539<192>
prime factors 素因数
76213408478070187883920573218083179<35>
2971078524836534317318481594502217338893492356047830293243972731358633798336073387169910239300403256515925754628074019751947188452967029261473360925230345841<157>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=878309754
Step 1 took 31973ms
Step 2 took 11701ms
********** Factor found in step 2: 76213408478070187883920573218083179
Found probable prime factor of 35 digits: 76213408478070187883920573218083179

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)

7×10206-3

c152

composite cofactor 合成数の残り
15476326065960759083858533323795298894726075513585003797037529193560343116454728756019996174016052433034261811827488219068287346797332993787694639017291<152>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovApril 17, 2013 05:19:15 UTC 2013 年 4 月 17 日 (水) 14 時 19 分 15 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:59:03 UTC 2014 年 1 月 9 日 (木) 13 時 59 分 3 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:11 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 11 秒 (日本時間)

7×10207-3

c181

name 名前Warut Roonguthai
date 日付April 13, 2013 16:55:42 UTC 2013 年 4 月 14 日 (日) 1 時 55 分 42 秒 (日本時間)
composite number 合成数
4905780942786342522954155337039778306062106679093982272430482576873897295683562784427329935039507513933738777595607674889566419415439423115155292218927981338931678044891078555425823<181>
prime factors 素因数
6144435945897212532197584158651184837<37>
798410299331389448890805920065709222254892614476078092665283532405483333325645118511738542685665623203581738405632887685686374543711205071820179<144>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2978056675
Step 1 took 10577ms
Step 2 took 6380ms
********** Factor found in step 2: 6144435945897212532197584158651184837
Found probable prime factor of 37 digits: 6144435945897212532197584158651184837
Probable prime cofactor 798410299331389448890805920065709222254892614476078092665283532405483333325645118511738542685665623203581738405632887685686374543711205071820179 has 144 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)

7×10208-3

c198

name 名前Warut Roonguthai
date 日付April 13, 2013 14:54:39 UTC 2013 年 4 月 13 日 (土) 23 時 54 分 39 秒 (日本時間)
composite number 合成数
161591102592524733936907011739791130002286700000705536071161861917855978852099486578552141289932937641348237028499735728967286667880237900474624093575098476046576445430439143371117719802348437760063<198>
prime factors 素因数
149948486917292651479957768183421<33>
composite cofactor 合成数の残り
1077644102415343612609715232215243094339381597001084415835504726853859573652268420970524994793611560576775643007119303487146596410899659404890979399268108360162013803<166>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=493041438
Step 1 took 12106ms
Step 2 took 6973ms
********** Factor found in step 2: 149948486917292651479957768183421
Found probable prime factor of 33 digits: 149948486917292651479957768183421
Composite cofactor 1077644102415343612609715232215243094339381597001084415835504726853859573652268420970524994793611560576775643007119303487146596410899659404890979399268108360162013803 has 166 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovApril 17, 2013 05:19:25 UTC 2013 年 4 月 17 日 (水) 14 時 19 分 25 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:59:04 UTC 2014 年 1 月 9 日 (木) 13 時 59 分 4 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:11 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 11 秒 (日本時間)

7×10210-3

c167

name 名前Warut Roonguthai
date 日付April 13, 2013 18:41:39 UTC 2013 年 4 月 14 日 (日) 3 時 41 分 39 秒 (日本時間)
composite number 合成数
43601001412807294094764270113621390409061673416311138452999209791971840430440532822461839230074582816218011625537923820793347941568376635821018203800088307825533544073<167>
prime factors 素因数
19707715297636941326771373292907<32>
composite cofactor 合成数の残り
2212382346422230048501625200584644417899685527064548149494851664348669985029015359988276320210311021837511011329315137153222499220690139<136>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1958676336
Step 1 took 9563ms
Step 2 took 7114ms
********** Factor found in step 2: 19707715297636941326771373292907
Found probable prime factor of 32 digits: 19707715297636941326771373292907
Composite cofactor 2212382346422230048501625200584644417899685527064548149494851664348669985029015359988276320210311021837511011329315137153222499220690139 has 136 digits
software ソフトウェア
GMP-ECM 6.3

c136

name 名前Ignacio Santos
date 日付October 2, 2013 19:12:55 UTC 2013 年 10 月 3 日 (木) 4 時 12 分 55 秒 (日本時間)
composite number 合成数
2212382346422230048501625200584644417899685527064548149494851664348669985029015359988276320210311021837511011329315137153222499220690139<136>
prime factors 素因数
29064231622497067450572666676066095468506963<44>
76120448500339612770689658967354495257686633840516297871337908227953445836726528388271569753<92>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:630443874
Step 1 took 32484ms
Step 2 took 18391ms
********** Factor found in step 2: 29064231622497067450572666676066095468506963
Found probable prime factor of 44 digits: 29064231622497067450572666676066095468506963
Probable prime cofactor 76120448500339612770689658967354495257686633840516297871337908227953445836726528388271569753 has 92 digits
software ソフトウェア
GMP-ECM 7.0

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e61000 / 2318Dmitry DomanovApril 17, 2013 05:19:34 UTC 2013 年 4 月 17 日 (水) 14 時 19 分 34 秒 (日本時間)

7×10211-3

c209

name 名前Serge Batalov
date 日付May 24, 2014 09:07:23 UTC 2014 年 5 月 24 日 (土) 18 時 7 分 23 秒 (日本時間)
composite number 合成数
90556274256144890038809831824062095730918499353169469598965071151358344113842173350582147477360931435963777490297542043984476067270375161707632600258732212160413971539456662354463130659767141009055627425614489<209>
prime factors 素因数
78192536404721801790642078328805693699791<41>
1158119155867112669015039228337631845453672391362924291848975474184598375655007384608653740817287019641358589910833588868841029601297930589403900532449515397903320941079<169>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=4057297583
Step 1 took 60134ms
Step 2 took 28281ms
********** Factor found in step 2: 78192536404721801790642078328805693699791
Found probable prime factor of 41 digits: 78192536404721801790642078328805693699791
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 17, 2013 05:19:45 UTC 2013 年 4 月 17 日 (水) 14 時 19 分 45 秒 (日本時間)
4511e63050 / 4254850Serge BatalovNovember 8, 2013 17:14:13 UTC 2013 年 11 月 9 日 (土) 2 時 14 分 13 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:27:28 UTC 2014 年 1 月 6 日 (月) 11 時 27 分 28 秒 (日本時間)
1800Serge BatalovMay 24, 2014 03:26:05 UTC 2014 年 5 月 24 日 (土) 12 時 26 分 5 秒 (日本時間)

7×10212-3

c207

name 名前Dmitry Domanov
date 日付April 17, 2013 05:15:19 UTC 2013 年 4 月 17 日 (水) 14 時 15 分 19 秒 (日本時間)
composite number 合成数
428360657643759366564737228274006402156000384300704286115546003792827651537172219954630486917559543661271974136807379063077330725636834610562027541142511307191502303662422428474479189933279767853001308947781<207>
prime factors 素因数
474294481538897002317560228538199427711<39>
903153366351426561939986365132883074860180107111508012722405761548643273117333859191462101562541106978218246414629092719415606485592757933108268143299348300999320397371<168>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=739350787
Step 1 took 35485ms
Step 2 took 12492ms
********** Factor found in step 2: 474294481538897002317560228538199427711
Found probable prime factor of 39 digits: 474294481538897002317560228538199427711

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e61000 / 2318Dmitry DomanovApril 17, 2013 05:15:02 UTC 2013 年 4 月 17 日 (水) 14 時 15 分 2 秒 (日本時間)

7×10213-3

c183

name 名前Dmitry Domanov
date 日付April 17, 2013 05:17:01 UTC 2013 年 4 月 17 日 (水) 14 時 17 分 1 秒 (日本時間)
composite number 合成数
809765261963390971464184992774034350465812393958152172141937405934710734111695188789422414022010962849588827253337334005891703730925066878240829789659904888165776825798905937249531007<183>
prime factors 素因数
846369053621681972406315926433508535431<39>
956751973029188152237136350546330120510942891155261525892849394074557661414747782326889341172022592787688874302341331759696666026330813649268297<144>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4057347062
Step 1 took 31301ms
Step 2 took 11663ms
********** Factor found in step 2: 846369053621681972406315926433508535431
Found probable prime factor of 39 digits: 846369053621681972406315926433508535431

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)

7×10214-3

c200

composite cofactor 合成数の残り
82300757173820664496034028769295124708950047873920722073751833511345915557984921345775664182321838956798960755870198768122211330957609307163835655609365568585001456333469342663052414217546335668707131<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovApril 17, 2013 05:19:55 UTC 2013 年 4 月 17 日 (水) 14 時 19 分 55 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:59:04 UTC 2014 年 1 月 9 日 (木) 13 時 59 分 4 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:11 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 11 秒 (日本時間)

7×10215-3

c122

name 名前Warut Roonguthai
date 日付November 7, 2013 03:42:42 UTC 2013 年 11 月 7 日 (木) 12 時 42 分 42 秒 (日本時間)
composite number 合成数
10550003083408467784973331078987724165810265721744049274032506601576417513178556435399013835528818378515218373776086893661<122>
prime factors 素因数
987026434763980316729750527471948806720965833<45>
10688673283538961211239873366831286900151226232067635486764441878945542326517<77>
factorization results 素因数分解の結果
N = 10550003083408467784973331078987724165810265721744049274032506601576417513178556435399013835528818378515218373776086893661 (122 digits)
Divisors found:
r1=987026434763980316729750527471948806720965833 (pp45)
r2=10688673283538961211239873366831286900151226232067635486764441878945542326517 (pp77)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 10.51 hours.
Factorization parameters were as follows:
n: 10550003083408467784973331078987724165810265721744049274032506601576417513178556435399013835528818378515218373776086893661
Y0: -396247361641894436353913
Y1: 4472771458019
c0: 1033689070770310588180473817344
c1: 10156790292592845061787088
c2: 14670572522103468424
c3: 448062513721867
c4: -680015178
c5: 1080
skew: 319953.98 
type: gnfs
Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10390884
Relations: 1480454 relations
Pruned matrix : 823558 x 823783
Polynomial selection time: 0.00 hours.
Total sieving time: 9.86 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.55 hours.
time per square root: 0.05 hours.
Prototype def-par.txt line would be: gnfs,121,5,65,2000,1e-05,0.28,250,20,50000,3600,4700000,4700000,27,27,53,53,2.5,2.5,100000
total time: 10.51 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)

7×10218-3

c167

name 名前Warut Roonguthai
date 日付April 13, 2013 19:31:42 UTC 2013 年 4 月 14 日 (日) 4 時 31 分 42 秒 (日本時間)
composite number 合成数
15583076621381295714059555909709623530141868293756858265866961200104434170764120390999043744584464219037505012027500378708747536789393646318095567505426096808780336481<167>
prime factors 素因数
250759154941424042027713460769869168231<39>
62143600001449265595072825195948871887317405209777090361997480120852315254552214543122427794895228526928049379301016467946645751<128>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3405600379
Step 1 took 7862ms
Step 2 took 5850ms
********** Factor found in step 2: 250759154941424042027713460769869168231
Found probable prime factor of 39 digits: 250759154941424042027713460769869168231
Probable prime cofactor 62143600001449265595072825195948871887317405209777090361997480120852315254552214543122427794895228526928049379301016467946645751 has 128 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)

7×10219-3

c212

composite cofactor 合成数の残り
51282341694140143372387009927902375593672775890518412972404598305893702973131122566723399832879639677373411059683143846668084061750767277238866708014397766516289502503922604631306813188033658241888798388579885511<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovApril 17, 2013 05:20:06 UTC 2013 年 4 月 17 日 (水) 14 時 20 分 6 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:59:05 UTC 2014 年 1 月 9 日 (木) 13 時 59 分 5 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:12 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 12 秒 (日本時間)

7×10221-3

c197

composite cofactor 合成数の残り
58605146817325287579714500714309288989131780234213063686889099518981278126237436203207571591336726681675564817949703829937935863788060714007740940316534078666456260935232032056635811716588260704029<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovApril 17, 2013 05:20:14 UTC 2013 年 4 月 17 日 (水) 14 時 20 分 14 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:59:06 UTC 2014 年 1 月 9 日 (木) 13 時 59 分 6 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:12 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 12 秒 (日本時間)

7×10224-3

c211

composite cofactor 合成数の残り
4399478544800147651810455886959678356863033329996577150892052182015760879469543537016308675053739660253669710013094385182511647846446891481223777988867705146174747371938068630959699672463137029537801277003474987<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovApril 17, 2013 05:20:24 UTC 2013 年 4 月 17 日 (水) 14 時 20 分 24 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:59:07 UTC 2014 年 1 月 9 日 (木) 13 時 59 分 7 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:13 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 13 秒 (日本時間)

7×10226-3

c214

composite cofactor 合成数の残り
5483950608549017562718868531224356336961539020003987146010983242455015962647351278294404315033629812031958182087694399206245519339170305526229140674137653716907393671554533455558446847006106438279973275438780199803<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovApril 17, 2013 05:20:31 UTC 2013 年 4 月 17 日 (水) 14 時 20 分 31 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:59:07 UTC 2014 年 1 月 9 日 (木) 13 時 59 分 7 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:13 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 13 秒 (日本時間)

7×10227-3

c182

composite cofactor 合成数の残り
94336711508149990808042682184120804594750546217128492949708733824916879888263948847743806887296515566014018524030545997578103109172373665136204862731150431204873572729354905584881147<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovApril 17, 2013 05:20:40 UTC 2013 年 4 月 17 日 (水) 14 時 20 分 40 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:59:08 UTC 2014 年 1 月 9 日 (木) 13 時 59 分 8 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:14 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 14 秒 (日本時間)

7×10228-3

c198

name 名前Warut Roonguthai
date 日付April 14, 2013 07:02:22 UTC 2013 年 4 月 14 日 (日) 16 時 2 分 22 秒 (日本時間)
composite number 合成数
311096832778238132497035923635876307038049568826717941112705954951340758858510796120902085527812877046856243889144133660637844235608606396929462217882053299712854660737361458332267069266139590046671<198>
prime factors 素因数
47456399105373603351879737229347324281363<41>
6555424318804076359104043268481239909377553801639391626173777820388980985480752547317553264095495373922584285512045088920072782220767912692583100674932514517<157>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1829652120
Step 1 took 12168ms
Step 2 took 7036ms
********** Factor found in step 2: 47456399105373603351879737229347324281363
Found probable prime factor of 41 digits: 4745639910537360335187973722934732428363
Probable prime cofactor 65554243188040763591040432684812399093775538016393916267377782038898098548075254731755326409549537392258428551204508892007278222076791692583100674932514517 has 157 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)

7×10229-3

c210

composite cofactor 合成数の残り
329280528529388751703248724135120183402518358530710582267159996392076215391241555524214751835801480228481052081709148150956946226659918761426741741071738882888541900985204127036535033974700312891750498670553721<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovApril 17, 2013 05:20:48 UTC 2013 年 4 月 17 日 (水) 14 時 20 分 48 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:59:09 UTC 2014 年 1 月 9 日 (木) 13 時 59 分 9 秒 (日本時間)
4511e6595 / 4188295CypFebruary 18, 2014 21:13:47 UTC 2014 年 2 月 19 日 (水) 6 時 13 分 47 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:14 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 14 秒 (日本時間)

7×10230-3

c210

composite cofactor 合成数の残り
391918379467922332128845906592875147453606208218578221141995786725675093506152005611895192759380540394383970751130752049042607795258199334613803679747439623748591893016487003976040377974582012568160092394083937<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovApril 17, 2013 05:21:00 UTC 2013 年 4 月 17 日 (水) 14 時 21 分 0 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:59:10 UTC 2014 年 1 月 9 日 (木) 13 時 59 分 10 秒 (日本時間)
4511e6605 / 4188305CypJanuary 9, 2014 20:33:32 UTC 2014 年 1 月 10 日 (金) 5 時 33 分 32 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:15 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 15 秒 (日本時間)

7×10231-3

c212

name 名前Warut Roonguthai
date 日付April 14, 2013 15:58:18 UTC 2013 年 4 月 15 日 (月) 0 時 58 分 18 秒 (日本時間)
composite number 合成数
13283701677343693779846201144538880381122878342566316002749612319990148784917572432023027899453008488447861673904673999291150055595565677121325945255874940906870415829911690747484135489849820995188093339417029691<212>
prime factors 素因数
3745094416701857054194148414201<31>
composite cofactor 合成数の残り
3546960423241365508432828379845840554057911899240418028313054117179555981546727420542835949729282718325459802628490254331364725288771319673296048234880650473991874194455546896257491<181>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=302257984
Step 1 took 9719ms
Step 2 took 6723ms
********** Factor found in step 2: 3745094416701857054194148414201
Found probable prime factor of 31 digits: 3745094416701857054194148414201
Composite cofactor 3546960423241365508432828379845840554057911899240418028313054117179555981546727420542835949729282718325459802628490254331364725288771319673296048234880650473991874194455546896257491 has 181 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovApril 17, 2013 05:21:10 UTC 2013 年 4 月 17 日 (水) 14 時 21 分 10 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:59:11 UTC 2014 年 1 月 9 日 (木) 13 時 59 分 11 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:14 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 14 秒 (日本時間)

7×10232-3

c211

name 名前Warut Roonguthai
date 日付April 14, 2013 16:01:58 UTC 2013 年 4 月 15 日 (月) 1 時 1 分 58 秒 (日本時間)
composite number 合成数
1371569508640588516096597340468967121092821765658561114535115043699531110441768516195132057989129830555264169009290188618087768374373684741677657074755528841213122779175856440302392910663040548175413360327379363<211>
prime factors 素因数
476074936098026988805794327411641<33>
2880994996044432072075729534223700409567508634080153172142190313702424307466850153536802852322618935694763486352364203395141551032469078021498004086161429786832856613774748726843<178>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=84713334
Step 1 took 9188ms
********** Factor found in step 1: 476074936098026988805794327411641
Found probable prime factor of 33 digits: 476074936098026988805794327411641
Probable prime cofactor 2880994996044432072075729534223700409567508634080153172142190313702424307466850153536802852322618935694763486352364203395141551032469078021498004086161429786832856613774748726843 has 178 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)

7×10233-3

c232

name 名前matsui
date 日付May 11, 2014 02:41:50 UTC 2014 年 5 月 11 日 (日) 11 時 41 分 50 秒 (日本時間)
composite number 合成数
3867403314917127071823204419889502762430939226519337016574585635359116022099447513812154696132596685082872928176795580110497237569060773480662983425414364640883977900552486187845303867403314917127071823204419889502762430939226519337<232>
prime factors 素因数
227137884844233974588208767370204330099432802765581068108786411139485855575905395492164445832887<96>
17026676626707626585222876430124630378768314389880887279265089316716870836208196655832355303663027041457797545104181923670363849173848351<137>
factorization results 素因数分解の結果
N=3867403314917127071823204419889502762430939226519337016574585635359116022099447513812154696132596685082872928176795580110497237569060773480662983425414364640883977900552486187845303867403314917127071823204419889502762430939226519337
  ( 232 digits)
SNFS difficulty: 234 digits.
Divisors found:
 r1=227137884844233974588208767370204330099432802765581068108786411139485855575905395492164445832887 (pp96)
 r2=17026676626707626585222876430124630378768314389880887279265089316716870836208196655832355303663027041457797545104181923670363849173848351 (pp137)
Version: Msieve v. 1.53 (SVN Unversioned directory)
Total time:
Scaled time: 162.32 units (timescale=1.809).
Factorization parameters were as follows:
n: 3867403314917127071823204419889502762430939226519337016574585635359116022099447513812154696132596685082872928176795580110497237569060773480662983425414364640883977900552486187845303867403314917127071823204419889502762430939226519337
m: 1000000000000000000000000000000000000000
deg: 6
c6: 7
c0: -30
skew: 1.27
# Murphy_E = 1.105e-12
type: snfs
lss: 1
rlim: 57000000
alim: 57000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.7
alambda: 2.7
Factor base limits: 57000000/57000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 60/60
Sieved rational special-q in [28500000, 55500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 7004026 x 7004252
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,234.000,6,0,0,0,0,0,0,0,0,57000000,57000000,30,30,60,60,2.7,2.7,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 17, 2013 05:21:19 UTC 2013 年 4 月 17 日 (水) 14 時 21 分 19 秒 (日本時間)
4511e62050 / 4254850Serge BatalovNovember 8, 2013 17:16:19 UTC 2013 年 11 月 9 日 (土) 2 時 16 分 19 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:29:06 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 6 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:30 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 30 秒 (日本時間)

7×10235-3

c207

composite cofactor 合成数の残り
352577595853361611763615963624242541128064875659663310630760991438761892757213732747514911167292351624392858376149223780297773780221074886332072039470896276543598595166585268041874995589352631947907161164019<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovApril 17, 2013 05:21:29 UTC 2013 年 4 月 17 日 (水) 14 時 21 分 29 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:59:12 UTC 2014 年 1 月 9 日 (木) 13 時 59 分 12 秒 (日本時間)
4511e6692 / 4188392CypJanuary 9, 2014 06:39:56 UTC 2014 年 1 月 9 日 (木) 15 時 39 分 56 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:15 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 15 秒 (日本時間)

7×10236-3

c216

composite cofactor 合成数の残り
117389580131023827821739252518610888292350746841822448142261952224825242083250934101936782645153525683121402018438713073764238538675437050713014790183460334073486122769208664199437097214363388950563158210057830899733<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovApril 17, 2013 05:21:41 UTC 2013 年 4 月 17 日 (水) 14 時 21 分 41 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:59:12 UTC 2014 年 1 月 9 日 (木) 13 時 59 分 12 秒 (日本時間)
4511e6595 / 41882CypJanuary 7, 2014 07:14:40 UTC 2014 年 1 月 7 日 (火) 16 時 14 分 40 秒 (日本時間)
293CypMarch 11, 2014 06:18:57 UTC 2014 年 3 月 11 日 (火) 15 時 18 分 57 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:15 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 15 秒 (日本時間)

7×10239-3

c201

name 名前Warut Roonguthai
date 日付April 14, 2013 16:05:23 UTC 2013 年 4 月 15 日 (月) 1 時 5 分 23 秒 (日本時間)
composite number 合成数
623633982216403342051811131449547887780861872315747548427541188677595124366659021512526091537492961438765057793995308578992993287292920027873847685892210634750856362949613333198395123751684113086032107<201>
prime factors 素因数
191773616280460393385570343461123<33>
3251927946670027595804446714406222556834016816586751961849863605583611620729801862791670002747936709903598435130351575011188292362053310110950142368483609340966222934009<169>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2063873334
Step 1 took 13432ms
Step 2 took 7831ms
********** Factor found in step 2: 191773616280460393385570343461123
Found probable prime factor of 33 digits: 191773616280460393385570343461123
Probable prime cofactor 3251927946670027595804446714406222556834016816586751961849863605583611620729801862791670002747936709903598435130351575011188292362053310110950142368483609340966222934009 has 169 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)

7×10243-3

c218

name 名前Warut Roonguthai
date 日付April 14, 2013 16:08:58 UTC 2013 年 4 月 15 日 (月) 1 時 8 分 58 秒 (日本時間)
composite number 合成数
71750986780032686087163416876126107355102176332506275878197317251249851540394837248032134205570633351553105034157516239659826441601108806249664746729156359045556389994066909070034598161705814158083085181065765869208917<218>
prime factors 素因数
240375141942375086988588967237799324929<39>
298495868583755156132441877444009016238479557401331112639790593420608902942767356326720488865552122840545725948809195046608288315553464593728950613879703205584507223281012561957973<180>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=590210410
Step 1 took 14133ms
Step 2 took 7832ms
********** Factor found in step 2: 240375141942375086988588967237799324929
Found probable prime factor of 39 digits: 240375141942375086988588967237799324929
Probable prime cofactor 298495868583755156132441877444009016238479557401331112639790593420608902942767356326720488865552122840545725948809195046608288315553464593728950613879703205584507223281012561957973 has 180 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)

7×10244-3

c228

name 名前Warut Roonguthai
date 日付April 14, 2013 17:18:52 UTC 2013 年 4 月 15 日 (月) 2 時 18 分 52 秒 (日本時間)
composite number 合成数
420648553210428569838050615084380397662682735954975511990144030829980717306262428509154086320271187947514845336626749036474299574888173817393318941567659927755080573254300133702097813005823736264789016588450630552176585931327131<228>
prime factors 素因数
8448855846272266246079716360219<31>
49787635256674857142015157565888047985169358319018147947530216571877598261544155052607871791669090355243366052841774241683113837618576481885115225748843565487322059741022060067274382860400868555649<197>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3286033992
Step 1 took 16255ms
Step 2 took 8019ms
********** Factor found in step 2: 8448855846272266246079716360219
Found probable prime factor of 31 digits: 8448855846272266246079716360219
Probable prime cofactor 49787635256674857142015157565888047985169358319018147947530216571877598261544155052607871791669090355243366052841774241683113837618576481885115225748843565487322059741022060067274382860400868555649 has 197 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)

7×10246-3

c212

composite cofactor 合成数の残り
29052065479528967301999316727592016667862496915581379275218089243194262221409553975458988511708417435929901408870201563836546950235755927538285772504137604258714094423844762284306351488571443030018915463492520099<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovApril 17, 2013 05:21:52 UTC 2013 年 4 月 17 日 (水) 14 時 21 分 52 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:59:13 UTC 2014 年 1 月 9 日 (木) 13 時 59 分 13 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:15 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 15 秒 (日本時間)

7×10247-3

c228

composite cofactor 合成数の残り
899346585097352202342015341412734236911052509496646441140800521237367429839344384938856351693718583313089633338975570230118961947187228492675131144690087528456756214089478099726107231900760964068835862006693863916728008234860587<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovApril 17, 2013 05:22:01 UTC 2013 年 4 月 17 日 (水) 14 時 22 分 1 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:59:14 UTC 2014 年 1 月 9 日 (木) 13 時 59 分 14 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:15 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 15 秒 (日本時間)

7×10248-3

c249

name 名前Dmitry Domanov
date 日付April 29, 2013 12:21:27 UTC 2013 年 4 月 29 日 (月) 21 時 21 分 27 秒 (日本時間)
composite number 合成数
699999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997<249>
prime factors 素因数
1544928623944819124800922240030856898391<40>
453095365799243680032591946511913016363159474436034081089340098860700075757184271305874656845428211668046505523957318540512386334639168478840829642925964010262220548228872453426664893102836181100072688106545867<210>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=779563603
Step 1 took 129344ms
Step 2 took 38227ms
********** Factor found in step 2: 1544928623944819124800922240030856898391
Found probable prime factor of 40 digits: 1544928623944819124800922240030856898391

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e62400Dmitry DomanovApril 16, 2013 14:41:34 UTC 2013 年 4 月 16 日 (火) 23 時 41 分 34 秒 (日本時間)
4511e61000 / 3944Dmitry DomanovApril 29, 2013 06:57:51 UTC 2013 年 4 月 29 日 (月) 15 時 57 分 51 秒 (日本時間)

7×10249-3

c145

name 名前Dmitry Domanov
date 日付April 17, 2013 05:16:31 UTC 2013 年 4 月 17 日 (水) 14 時 16 分 31 秒 (日本時間)
composite number 合成数
2479364707102400754775680418288589179274315917997108015884435556936910891959487214656465271075475686395489901681638016680159714377579649465095611<145>
prime factors 素因数
101256825770638963944986891688457908531603851<45>
24485901945203305046012120408388323278579972819621093338491786861610136724411455808568961022176815761<101>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3190438662
Step 1 took 20517ms
Step 2 took 8353ms
********** Factor found in step 2: 101256825770638963944986891688457908531603851
Found probable prime factor of 45 digits: 101256825770638963944986891688457908531603851

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)

7×10250-3

c235

composite cofactor 合成数の残り
1065686778965181884918476574547435047163503238456956343331587732261609865823534438041381128564408192375792207735711406538402184536645562930891604760879017553233706791616430883867516303342809852532502051293395311114390475252665033534773<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e62400Dmitry DomanovApril 13, 2013 22:57:40 UTC 2013 年 4 月 14 日 (日) 7 時 57 分 40 秒 (日本時間)
4511e62000Dmitry DomanovApril 17, 2013 07:48:26 UTC 2013 年 4 月 17 日 (水) 16 時 48 分 26 秒 (日本時間)
5043e6500 / 6941Dmitry DomanovMay 2, 2013 19:48:53 UTC 2013 年 5 月 3 日 (金) 4 時 48 分 53 秒 (日本時間)
5511e730 / 17447Dmitry DomanovMay 6, 2013 11:10:10 UTC 2013 年 5 月 6 日 (月) 20 時 10 分 10 秒 (日本時間)