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

name 名前Edwin Hall
date 日付December 22, 2020 13:42:21 UTC 2020 年 12 月 22 日 (火) 22 時 42 分 21 秒 (日本時間)
composite number 合成数
4231782707994587956134028190296576655567060539335886889722720908885008293628960341950823255755326329036235653962920699540873112927961497889965502537<148>
prime factors 素因数
761350804829874565713458332112950342726688411185035877<54>
5558256038016783443838909356167659599975662565715036979806255803423740235968491117788429954581<94>
factorization results 素因数分解の結果
p54 factor: 761350804829874565713458332112950342726688411185035877
p94 factor: 5558256038016783443838909356167659599975662565715036979806255803423740235968491117788429954581


Msieve v. 1.54 (SVN 1034)
random seeds: 45667499 06778eb8
factoring 4231782707994587956134028190296576655567060539335886889722720908885008293628960341950823255755326329036235653962920699540873112927961497889965502537 (148 digits)
searching for 15-digit factors
commencing number field sieve (148-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: -3
A1: 0
A2: 0
A3: 0
A4: 0
A5: 700
skew 1.00, size 2.241e-13, alpha -0.121, combined = 3.182e-11 rroots = 1

commencing relation filtering
estimated available RAM is 15892.2 MB
commencing duplicate removal, pass 1
found 659019 hash collisions in 38059051 relations
added 726646 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 38785697 unique relations
memory use: 159.3 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1257.6 MB
keeping 40564727 ideals with weight <= 200, target excess is 211926
commencing in-memory singleton removal
begin with 38785697 relations and 40564727 unique ideals
reduce to 15611477 relations and 13538487 ideals in 13 passes
max relations containing the same ideal: 115
removing 2024661 relations and 1624661 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 13586816 relations and 13538487 unique ideals
reduce to 13371816 relations and 11691666 ideals in 8 passes
max relations containing the same ideal: 103
removing 1610792 relations and 1210792 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 11761024 relations and 11691666 unique ideals
reduce to 11603015 relations and 10318045 ideals in 8 passes
max relations containing the same ideal: 93
removing 1508289 relations and 1108289 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 10094726 relations and 10318045 unique ideals
reduce to 9935317 relations and 9044981 ideals in 8 passes
max relations containing the same ideal: 86
removing 1473432 relations and 1073432 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 8461885 relations and 9044981 unique ideals
reduce to 8276992 relations and 7779932 ideals in 9 passes
max relations containing the same ideal: 79
removing 1035572 relations and 784347 ideals in 251225 cliques
commencing in-memory singleton removal
begin with 7241420 relations and 7779932 unique ideals
reduce to 7130454 relations and 6881529 ideals in 8 passes
max relations containing the same ideal: 72
relations with 0 large ideals: 4535
relations with 1 large ideals: 15294
relations with 2 large ideals: 116707
relations with 3 large ideals: 485229
relations with 4 large ideals: 1207746
relations with 5 large ideals: 1866081
relations with 6 large ideals: 1876227
relations with 7+ large ideals: 1558635
commencing 2-way merge
reduce to 4403663 relation sets and 4154738 unique ideals
commencing full merge
memory use: 467.4 MB
found 2036044 cycles, need 2006938
weight of 2006938 cycles is about 180765487 (90.07/cycle)
distribution of cycle lengths:
1 relations: 157136
2 relations: 161146
3 relations: 171562
4 relations: 170901
5 relations: 169315
6 relations: 159291
7 relations: 151349
8 relations: 138950
9 relations: 124634
10+ relations: 602654
heaviest cycle: 25 relations
commencing cycle optimization
start with 14866520 relations
pruned 505414 relations
memory use: 441.2 MB
distribution of cycle lengths:
1 relations: 157136
2 relations: 165055
3 relations: 178225
4 relations: 176663
5 relations: 175885
6 relations: 165079
7 relations: 156620
8 relations: 142374
9 relations: 127670
10+ relations: 562231
heaviest cycle: 25 relations
RelProcTime: 971
elapsed time 00:16:12


Msieve v. 1.54 (SVN 1034)
random seeds: 284af237 4bbd8e35
factoring 4231782707994587956134028190296576655567060539335886889722720908885008293628960341950823255755326329036235653962920699540873112927961497889965502537 (148 digits)
searching for 15-digit factors
commencing number field sieve (148-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: -3
A1: 0
A2: 0
A3: 0
A4: 0
A5: 700
skew 1.00, size 2.241e-13, alpha -0.121, combined = 3.182e-11 rroots = 1

commencing linear algebra
read 2006938 cycles
cycles contain 6939215 unique relations
read 6939215 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 851.1 MB
read 2006938 cycles
matrix is 2006757 x 2006938 (736.4 MB) with weight 217631348 (108.44/col)
sparse part has weight 170973021 (85.19/col)
filtering completed in 2 passes
matrix is 2005951 x 2006132 (736.3 MB) with weight 217599092 (108.47/col)
sparse part has weight 170959857 (85.22/col)
matrix starts at (0, 0)
matrix is 2005951 x 2006132 (736.3 MB) with weight 217599092 (108.47/col)
sparse part has weight 170959857 (85.22/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2005903 x 2006132 (702.6 MB) with weight 180720139 (90.08/col)
sparse part has weight 164130778 (81.81/col)
using block size 8192 and superblock size 786432 for processor cache size 8192 kB
commencing Lanczos iteration (8 threads)
memory use: 663.9 MB
linear algebra at 0.1%, ETA 1h49m
checkpointing every 1050000 dimensions
lanczos halted after 31726 iterations (dim = 2005902)
recovered 42 nontrivial dependencies
BLanczosTime: 6677
elapsed time 01:51:17


Msieve v. 1.54 (SVN 1034)
random seeds: fe74c178 4266475e
factoring 4231782707994587956134028190296576655567060539335886889722720908885008293628960341950823255755326329036235653962920699540873112927961497889965502537 (148 digits)
searching for 15-digit factors
commencing number field sieve (148-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: -3
A1: 0
A2: 0
A3: 0
A4: 0
A5: 700
skew 1.00, size 2.241e-13, alpha -0.121, combined = 3.182e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1002532 cycles
cycles contain 3468550 unique relations
read 3468550 relations
multiplying 3468550 relations
multiply complete, coefficients have about 106.48 million bits
initial square root is modulo 43944091
GCD is N, no factor found
reading relations for dependency 2
read 1002826 cycles
cycles contain 3467570 unique relations
read 3467570 relations
multiplying 3467570 relations
multiply complete, coefficients have about 106.45 million bits
initial square root is modulo 43726451
sqrtTime: 418
p54 factor: 761350804829874565713458332112950342726688411185035877
p94 factor: 5558256038016783443838909356167659599975662565715036979806255803423740235968491117788429954581
elapsed time 00:06:59
software ソフトウェア
CADO-NFS/Msieve

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)
4511e60--
5043e61120 / 7444Robert BalfourJuly 9, 2020 16:31:39 UTC 2020 年 7 月 10 日 (金) 1 時 31 分 39 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

name 名前Bob Backstrom
date 日付February 28, 2021 04:55:13 UTC 2021 年 2 月 28 日 (日) 13 時 55 分 13 秒 (日本時間)
composite number 合成数
4037097952062703265549276427233942757386489774329001553978425862975741353355424331531697110444689706045796958405717590278444664262899875096132251795431724258024168255492200560011667<181>
prime factors 素因数
5862457663289727488403082171077793098688129321742699504301541<61>
688635753797031140824649625827539704667002130493222695632376541445457379689790989968748508214951695757960702712394033687<120>
factorization results 素因数分解の結果
Number: n
N=4037097952062703265549276427233942757386489774329001553978425862975741353355424331531697110444689706045796958405717590278444664262899875096132251795431724258024168255492200560011667  ( 181 digits)
SNFS difficulty: 197 digits.
Divisors found:

Sun Feb 28 15:51:21 2021  p61 factor: 5862457663289727488403082171077793098688129321742699504301541
Sun Feb 28 15:51:21 2021  p120 factor: 688635753797031140824649625827539704667002130493222695632376541445457379689790989968748508214951695757960702712394033687
Sun Feb 28 15:51:21 2021  elapsed time 00:56:32 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.314).
Factorization parameters were as follows:
#
# N = 7x10^197-3 = 69(196)7
#
n: 4037097952062703265549276427233942757386489774329001553978425862975741353355424331531697110444689706045796958405717590278444664262899875096132251795431724258024168255492200560011667
m: 1000000000000000000000000000000000000000
deg: 5
c5: 700
c0: -3
skew: 0.34
# Murphy_E = 2.277e-11
type: snfs
lss: 1
rlim: 13900000
alim: 13900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13900000/13900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4083756 hash collisions in 31276571 relations (28915609 unique)
Msieve: matrix is 1556498 x 1556723 (542.2 MB)

Sieving start time: 2021/02/28 09:36:07
Sieving end time  : 2021/02/28 14:51:20

Total sieving time: 5hrs 15min 13secs.

Total relation processing time: 0hrs 46min 2sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 5sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13900000,13900000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116873] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241916K/16727236K available (14339K kernel code, 2400K rwdata, 4964K rodata, 2732K init, 4968K bss, 485320K reserved, 0K cma-reserved)
[    0.153556] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.16 BogoMIPS (lpj=12798332)
[    0.152039] smpboot: Total of 16 processors activated (102386.65 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--
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

name 名前Bob Backstrom
date 日付March 18, 2021 15:38:28 UTC 2021 年 3 月 19 日 (金) 0 時 38 分 28 秒 (日本時間)
composite number 合成数
154499325256182153115558407746555588390841362966061522626811306977985398007231093124335268324928999720942940078272944371325009226821200737210858116113306504228932477121047305307486039<183>
prime factors 素因数
1151106255605694342472205980034791716222048411881116405714441983005663<70>
134218126696641912625333313660180917361581077468668571003829630276753763198190796414582903170301422893096083049353<114>
factorization results 素因数分解の結果
Number: n
N=154499325256182153115558407746555588390841362966061522626811306977985398007231093124335268324928999720942940078272944371325009226821200737210858116113306504228932477121047305307486039  ( 183 digits)
SNFS difficulty: 198 digits.
Divisors found:

Fri Mar 19 02:32:22 2021  p70 factor: 1151106255605694342472205980034791716222048411881116405714441983005663
Fri Mar 19 02:32:22 2021  p114 factor: 134218126696641912625333313660180917361581077468668571003829630276753763198190796414582903170301422893096083049353
Fri Mar 19 02:32:22 2021  elapsed time 01:24:00 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.352).
Factorization parameters were as follows:
#
# N = 7x10^198-3 = 69(197)7
#
n: 154499325256182153115558407746555588390841362966061522626811306977985398007231093124335268324928999720942940078272944371325009226821200737210858116113306504228932477121047305307486039
m: 1000000000000000000000000000000000000000
deg: 5
c5: 7000
c0: -3
skew: 0.21
# Murphy_E = 1.716e-11
type: snfs
lss: 1
rlim: 14400000
alim: 14400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14400000/14400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 20000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3692464 hash collisions in 27995537 relations (25778026 unique)
Msieve: matrix is 1873155 x 1873380 (649.8 MB)

Sieving start time : 2021/03/18 18:54:30
Sieving end time  : 2021/03/19 01:07:47

Total sieving time: 6hrs 13min 17secs.

Total relation processing time: 1hrs 6min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 58sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14400000,14400000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116745] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241916K/16727236K available (14339K kernel code, 2400K rwdata, 4964K rodata, 2732K init, 4968K bss, 485320K reserved, 0K cma-reserved)
[    0.152613] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.17 BogoMIPS (lpj=12798352)
[    0.150217] smpboot: Total of 16 processors activated (102386.81 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--
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

name 名前Bob Backstrom
date 日付May 11, 2021 18:44:02 UTC 2021 年 5 月 12 日 (水) 3 時 44 分 2 秒 (日本時間)
composite number 合成数
2027562616107630978660091449486877357103273265486432528403014598519483452088404715793070830306741134086579468588530860166754263116443261963232555487543606647979373197676599430119174039197404157<193>
prime factors 素因数
390394253910259167988909925235174545406514475245387904870060168783495616546267517457663730439<93>
5193628225311204239076223960363191214331421303946773191550398798897802158365437539626800545840153563<100>
factorization results 素因数分解の結果
Number: n
N=2027562616107630978660091449486877357103273265486432528403014598519483452088404715793070830306741134086579468588530860166754263116443261963232555487543606647979373197676599430119174039197404157
  ( 193 digits)
SNFS difficulty: 201 digits.
Divisors found:

Wed May 12 04:25:12 2021  p93 factor: 390394253910259167988909925235174545406514475245387904870060168783495616546267517457663730439
Wed May 12 04:25:12 2021  p100 factor: 5193628225311204239076223960363191214331421303946773191550398798897802158365437539626800545840153563
Wed May 12 04:25:12 2021  elapsed time 01:53:38 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 7x10^201-3 = 69(200)7
#
n: 2027562616107630978660091449486877357103273265486432528403014598519483452088404715793070830306741134086579468588530860166754263116443261963232555487543606647979373197676599430119174039197404157
m: 10000000000000000000000000000000000000000
deg: 5
c5: 70
c0: -3
skew: 0.53
# Murphy_E = 1.302e-11
type: snfs
lss: 1
rlim: 16200000
alim: 16200000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16200000/16200000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9482539 hash collisions in 63076080 relations (55948438 unique)
Msieve: matrix is 2202605 x 2202833 (756.7 MB)

Sieving start time : 2021/05/11 15:07:59
Sieving end time  : 2021/05/12 02:30:19

Total sieving time: 11hrs 22min 20secs.

Total relation processing time: 1hrs 33min 4sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 12sec.

Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16200000,16200000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118393] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241108K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486128K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.30 BogoMIPS (lpj=12798612)
[    0.152049] smpboot: Total of 16 processors activated (102388.89 BogoMIPS)

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

name 名前Bob Backstrom
date 日付October 25, 2021 05:41:03 UTC 2021 年 10 月 25 日 (月) 14 時 41 分 3 秒 (日本時間)
composite number 合成数
15476326065960759083858533323795298894726075513585003797037529193560343116454728756019996174016052433034261811827488219068287346797332993787694639017291<152>
prime factors 素因数
3225229766933442746283917218740337077348419056667<49>
4798518922475310059124586610448191315810260720809256644415364920128059593477380126313236934438437641873<103>
factorization results 素因数分解の結果
#
# N = 7x10^206-3 = 69(205)7
#
n: 15476326065960759083858533323795298894726075513585003797037529193560343116454728756019996174016052433034261811827488219068287346797332993787694639017291
m: 100000000000000000000000000000000000000000
deg: 5
c5: 70
c0: -3
skew: 0.53
# Murphy_E = 8.018e-12
type: snfs
lss: 1
rlim: 19600000
alim: 19600000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 15476326065960759083858533323795298894726075513585003797037529193560343116454728756019996174016052433034261811827488219068287346797332993787694639017291 (152 digits)
Using B1=53090000, B2=288594456166, polynomial Dickson(12), sigma=1:1944176388
Step 1 took 107740ms
Step 2 took 37513ms
********** Factor found in step 2: 3225229766933442746283917218740337077348419056667
Found prime factor of 49 digits: 3225229766933442746283917218740337077348419056667
Prime cofactor 4798518922475310059124586610448191315810260720809256644415364920128059593477380126313236934438437641873 has 103 digits

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

c166

name 名前Bob Backstrom
date 日付August 22, 2021 18:12:37 UTC 2021 年 8 月 23 日 (月) 3 時 12 分 37 秒 (日本時間)
composite number 合成数
1077644102415343612609715232215243094339381597001084415835504726853859573652268420970524994793611560576775643007119303487146596410899659404890979399268108360162013803<166>
prime factors 素因数
636225852215244372104082421940805518405957<42>
1693807472084238863679088794569578577092952257672558478066407261540331063653050943517456169248616846910163847389226268317679<124>
factorization results 素因数分解の結果
#
# N = 7x10^208-3 = 69(207)7
#
n: 1077644102415343612609715232215243094339381597001084415835504726853859573652268420970524994793611560576775643007119303487146596410899659404890979399268108360162013803
m: 100000000000000000000000000000000000000000
deg: 5
c5: 7000
c0: -3
skew: 0.21
# Murphy_E = 6.525e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1077644102415343612609715232215243094339381597001084415835504726853859573652268420970524994793611560576775643007119303487146596410899659404890979399268108360162013803 (166 digits)
Using B1=45100000, B2=240492732496, polynomial Dickson(12), sigma=1:2548848290
Step 1 took 105739ms
Step 2 took 35996ms
********** Factor found in step 2: 636225852215244372104082421940805518405957
Found prime factor of 42 digits: 636225852215244372104082421940805518405957
Prime cofactor 1693807472084238863679088794569578577092952257672558478066407261540331063653050943517456169248616846910163847389226268317679 has 124 digits

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

name 名前Bob Backstrom
date 日付October 26, 2020 01:43:20 UTC 2020 年 10 月 26 日 (月) 10 時 43 分 20 秒 (日本時間)
composite number 合成数
82300757173820664496034028769295124708950047873920722073751833511345915557984921345775664182321838956798960755870198768122211330957609307163835655609365568585001456333469342663052414217546335668707131<200>
prime factors 素因数
8643503191094885125901257956992676566295470860830040205096926133048075552767<76>
9521689916029927193620768899065778869895231840571944122559168813324848705026123573302939066937781257065696695232629517879493<124>
factorization results 素因数分解の結果
Number: n
N=82300757173820664496034028769295124708950047873920722073751833511345915557984921345775664182321838956798960755870198768122211330957609307163835655609365568585001456333469342663052414217546335668707131  ( 200 digits)
SNFS difficulty: 215 digits.
Divisors found:

Mon Oct 26 12:38:51 2020  p76 factor: 8643503191094885125901257956992676566295470860830040205096926133048075552767
Mon Oct 26 12:38:51 2020  p124 factor: 9521689916029927193620768899065778869895231840571944122559168813324848705026123573302939066937781257065696695232629517879493
Mon Oct 26 12:38:51 2020  elapsed time 05:23:55 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 7x10^214-3 = 69(213)7
#
n: 82300757173820664496034028769295124708950047873920722073751833511345915557984921345775664182321838956798960755870198768122211330957609307163835655609365568585001456333469342663052414217546335668707131
m: 5000000000000000000000000000000000000000000
deg: 5
c5: 112
c0: -15
skew: 0.67
# Murphy_E = 3.105e-12
type: snfs
lss: 1
rlim: 27000000
alim: 27000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 27000000/27000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 55100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10868323 hash collisions in 61371523 relations (52108642 unique)
Msieve: matrix is 3681163 x 3681388 (1283.4 MB)

Sieving start time: 2020/10/25 08:47:10
Sieving end time  : 2020/10/26 07:13:58

Total sieving time: 22hrs 26min 48secs.

Total relation processing time: 5hrs 1min 51sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 10sec.

Prototype def-par.txt line would be:
snfs,215,5,0,0,0,0,0,0,0,0,27000000,27000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118294] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16242460K/16727236K available (14339K kernel code, 2398K rwdata, 4956K rodata, 2716K init, 4988K bss, 484776K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798568)
[    0.152036] smpboot: Total of 16 processors activated (102388.54 BogoMIPS)

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

name 名前Bob Backstrom
date 日付September 6, 2019 09:37:11 UTC 2019 年 9 月 6 日 (金) 18 時 37 分 11 秒 (日本時間)
composite number 合成数
51282341694140143372387009927902375593672775890518412972404598305893702973131122566723399832879639677373411059683143846668084061750767277238866708014397766516289502503922604631306813188033658241888798388579885511<212>
prime factors 素因数
46042362555014409341185766664143660278155223549219<50>
897173299044154617792015298919354095948725643917611119830250596347099<69>
1241463363570920882881745217906038957623445070490957366716192721867086214500747315084375717431<94>
factorization results 素因数分解の結果
Number: n
N=51282341694140143372387009927902375593672775890518412972404598305893702973131122566723399832879639677373411059683143846668084061750767277238866708014397766516289502503922604631306813188033658241888798388579885511
  ( 212 digits)
SNFS difficulty: 219 digits.
Divisors found:

Fri Sep  6 19:09:33 2019  found factor: 1241463363570920882881745217906038957623445070490957366716192721867086214500747315084375717431
Fri Sep  6 19:20:25 2019  found factor: 1241463363570920882881745217906038957623445070490957366716192721867086214500747315084375717431
Fri Sep  6 19:31:15 2019  p50 factor: 46042362555014409341185766664143660278155223549219
Fri Sep  6 19:31:15 2019  p69 factor: 897173299044154617792015298919354095948725643917611119830250596347099
Fri Sep  6 19:31:15 2019  p94 factor: 1241463363570920882881745217906038957623445070490957366716192721867086214500747315084375717431
Fri Sep  6 19:31:15 2019  elapsed time 10:11:38 (Msieve 1.54 - dependency 5)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.121).
Factorization parameters were as follows:
#
# N = 7x10^219-3 = 69(218)7
#
n: 51282341694140143372387009927902375593672775890518412972404598305893702973131122566723399832879639677373411059683143846668084061750767277238866708014397766516289502503922604631306813188033658241888798388579885511
m: 1000000000000000000000000000000000000
deg: 6
c6: 7000
c0: -3
skew: 0.27
# Murphy_E = 1.959e-12
type: snfs
lss: 1
rlim: 32000000
alim: 32000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 32000000/32000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 99200000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 14658040 hash collisions in 69962246 relations (56790223 unique)
Msieve: matrix is 4525903 x 4526129 (1588.5 MB)

Sieving start time: 2019/09/04 10:19:49
Sieving end time  : 2019/09/06 09:12:57

Total sieving time: 46hrs 53min 8secs.

Total relation processing time: 8hrs 55min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 54min 16sec.

Prototype def-par.txt line would be:
snfs,219,6,0,0,0,0,0,0,0,0,32000000,32000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.040000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284080K/16703460K available (12300K kernel code, 2478K rwdata, 4280K rodata, 2424K init, 2384K bss, 419380K reserved, 0K cma-reserved)
[    0.072549] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.52 BogoMIPS (lpj=11977052)
[    0.070220] smpboot: Total of 16 processors activated (95816.41 BogoMIPS)

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

name 名前Erik Branger
date 日付January 11, 2022 10:57:01 UTC 2022 年 1 月 11 日 (火) 19 時 57 分 1 秒 (日本時間)
composite number 合成数
58605146817325287579714500714309288989131780234213063686889099518981278126237436203207571591336726681675564817949703829937935863788060714007740940316534078666456260935232032056635811716588260704029<197>
prime factors 素因数
1542207934296613617850685338187401412368262500959565464595787230853076665644041113<82>
38000807487775335611467581365763149915776981864438032228329934603886331458540670331363400498685521904723785928772133<116>
factorization results 素因数分解の結果
Number: 69997_221
N = 58605146817325287579714500714309288989131780234213063686889099518981278126237436203207571591336726681675564817949703829937935863788060714007740940316534078666456260935232032056635811716588260704029 (197 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=1542207934296613617850685338187401412368262500959565464595787230853076665644041113 (pp82)
r2=38000807487775335611467581365763149915776981864438032228329934603886331458540670331363400498685521904723785928772133 (pp116)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 43.95 hours.
Factorization parameters were as follows:
n: 58605146817325287579714500714309288989131780234213063686889099518981278126237436203207571591336726681675564817949703829937935863788060714007740940316534078666456260935232032056635811716588260704029
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 70
c0: -3
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 8141262 relations
Pruned matrix : 7054891 x 7055116
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 40.53 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 2.66 hours.
time per square root: 0.46 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 43.95 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

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)

7×10251-3

c224

composite cofactor 合成数の残り
11149941960086113751977002725921886940349389032389530853508956335648098980731986504826355392174850031728311831804689861318670075835185400878539989572122382981716194226688206967851931247928206530438927205020362793964637127589<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 23, 2019 00:00:00 UTC 2019 年 4 月 23 日 (火) 9 時 0 分 0 秒 (日本時間)

7×10252-3

c208

composite cofactor 合成数の残り
2198462445487819499318848700533601318364796392107041838829626396413031468964250286097688462786864277704810632688819870034228280356758114724766005337366846650026378361418860313618173838813160027195022084306191<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 23, 2019 00:00:00 UTC 2019 年 4 月 23 日 (火) 9 時 0 分 0 秒 (日本時間)

7×10255-3

c229

composite cofactor 合成数の残り
3066201092789859825115476945735932984749524988676353852601812208949163580576910244161501353028857447905223418740855683202453797405345320608503012749711207373200727086602946857250772810642160858237942747069490211040031816510896161<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 23, 2019 00:00:00 UTC 2019 年 4 月 23 日 (火) 9 時 0 分 0 秒 (日本時間)

7×10256-3

c249

composite cofactor 合成数の残り
316609210161018986298994240638748769085581988811238570390551979527397160613323963992360183574904879172721120516902347773534153972043234869210793242349103383296422654697035357745136705004619622370515845099161032179857080521958506400031295463527801751<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 23, 2019 00:00:00 UTC 2019 年 4 月 23 日 (火) 9 時 0 分 0 秒 (日本時間)

7×10257-3

c200

composite cofactor 合成数の残り
16449220532932184293222106990668032839557891447099265421732573697578964796443998576305586765053532096763644311582141723691235891531210599811792212679387859693306789063574087768623037239763670723786853<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 23, 2019 00:00:00 UTC 2019 年 4 月 23 日 (火) 9 時 0 分 0 秒 (日本時間)

7×10260-3

c238

composite cofactor 合成数の残り
2804716561454921292785766814334697929029159735330371409830117969936679929931155270293095507608153942876192844544550898559160073852504684683527934781803101298167111600677251369369896017714221302474185896320564976940961684733547527128693717<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 23, 2019 00:00:00 UTC 2019 年 4 月 23 日 (火) 9 時 0 分 0 秒 (日本時間)

7×10261-3

c175

composite cofactor 合成数の残り
5470451651282352577428602590986639243300312582317119394917414850088270252125425873202922100945580574919292893135207214884038940172525025590402945033754680230815866783742314989<175>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 23, 2019 00:00:00 UTC 2019 年 4 月 23 日 (火) 9 時 0 分 0 秒 (日本時間)
4511e62000Dmitry DomanovApril 25, 2019 17:07:59 UTC 2019 年 4 月 26 日 (金) 2 時 7 分 59 秒 (日本時間)
5043e6600 / 6996Dmitry DomanovApril 27, 2019 21:42:39 UTC 2019 年 4 月 28 日 (日) 6 時 42 分 39 秒 (日本時間)

7×10263-3

c238

composite cofactor 合成数の残り
4813628434059403943230572707636033377640502664695961947573046473277494393979483881855883202411755825323366010524975144555563623083828460273651077254702980302756821530222809407586193132398963384270260832787169363151769656599946371284435249<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 23, 2019 00:00:00 UTC 2019 年 4 月 23 日 (火) 9 時 0 分 0 秒 (日本時間)

7×10264-3

c186

composite cofactor 合成数の残り
166038422993393633419113646925416286747476787084620925818080679880392332365551359200691073341827448146447723517292285040234408338600810625275839564182741494790634258837961216081546224269<186>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 23, 2019 00:00:00 UTC 2019 年 4 月 23 日 (火) 9 時 0 分 0 秒 (日本時間)

7×10265-3

c227

composite cofactor 合成数の残り
96227369626186833230415695022813580371144083628405378673338125117551112558731371680838980993090636260640976792363945545978795773155666053380177313061331157486478269971660238800461898138643689407154287132715649570634819535696187<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 23, 2019 00:00:00 UTC 2019 年 4 月 23 日 (火) 9 時 0 分 0 秒 (日本時間)

7×10270-3

c226

composite cofactor 合成数の残り
1229169479904178289170355191305029090394261770057690709359702838148798563165360193623225036329032368170550916157065520396081577074301532000616021290395495802142046948178779171379399351652700421237650053214328014228639237211303<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 23, 2019 00:00:00 UTC 2019 年 4 月 23 日 (火) 9 時 0 分 0 秒 (日本時間)

7×10271-3

c263

composite cofactor 合成数の残り
10599101802708301782993306200699694648220071249957452366318803151205087281417659095406692432197871690455426774471647278289724850946636981213113404318880544937956217205138359700572267022504880711116428078187363934437537533529840266885855809303959608650920692408971<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 23, 2019 00:00:00 UTC 2019 年 4 月 23 日 (火) 9 時 0 分 0 秒 (日本時間)

7×10272-3

c232

composite cofactor 合成数の残り
1368456714102792451606263376347271259531042838151159139435505322466044855828385224225203074812984734308777898356718360251101399510314845224791442778270532778524826870072413946134908612551598218983018980623723984229682332225475402557<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 23, 2019 00:00:00 UTC 2019 年 4 月 23 日 (火) 9 時 0 分 0 秒 (日本時間)

7×10274-3

c259

composite cofactor 合成数の残り
2637231258722878866103180516397714826587785533543361051816999636269935413382990623895475326410779930564050317110853445214899330772387508427370779005902691727169167882566431066065835645161441163921728230117990570198933511369031980216698556786207501378315753293<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 23, 2019 00:00:00 UTC 2019 年 4 月 23 日 (火) 9 時 0 分 0 秒 (日本時間)

7×10277-3

c227

composite cofactor 合成数の残り
19781907508207048664727757628553926180208316369503409726176307511958996412679845776618396446010507203267137899028242567540813107595356059208625090129369163652025262019572553177541392159941954016880489000482394638808556193702999<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 23, 2019 00:00:00 UTC 2019 年 4 月 23 日 (火) 9 時 0 分 0 秒 (日本時間)

7×10278-3

c265

composite cofactor 合成数の残り
3497939479125641180534302641613793702651908128058527349021510073834622429458763174876049684136231521133080122207279582675807579850870605208289392996080686016313815645526613255403335521034947690229054197610200949952785866051141803358003591718397685153736673159379699<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 23, 2019 00:00:00 UTC 2019 年 4 月 23 日 (火) 9 時 0 分 0 秒 (日本時間)

7×10279-3

c233

composite cofactor 合成数の残り
52315977268530281282625132443293936095259333920278796571813964367142080489275330356109985575367546912890513868194777993257349762196211557481292634149410605013041945776594110837817519462273219687261712974051251883633162756017944357197<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 23, 2019 00:00:00 UTC 2019 年 4 月 23 日 (火) 9 時 0 分 0 秒 (日本時間)

7×10280-3

c276

composite cofactor 合成数の残り
523759998204251434728280795217322987826321184595470224244102088305935697236791895188142073640655747517751722796279807555612088380758554123113528720753615814559031492940463452775553876198100995892225156940942319059626334652709709762138137958383526999827907429161460242874993453<276>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 23, 2019 00:00:00 UTC 2019 年 4 月 23 日 (火) 9 時 0 分 0 秒 (日本時間)

7×10281-3

c257

composite cofactor 合成数の残り
83216142739873963844274481463503744644826969300827232932123263631222130764430020875244813764008387165935577714381774493605101767776025767911610967399312149189941133771116854927924120960446330589869487778891636896406489411590446148386960490715616685123939779<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 23, 2019 00:00:00 UTC 2019 年 4 月 23 日 (火) 9 時 0 分 0 秒 (日本時間)

7×10282-3

c273

composite cofactor 合成数の残り
436457205451469486793265830671975406308866310207083048838810022466794892759821872194938447152052179290923858826347396611391012443658485222458405836105280267483182443273872274401342401251119094746270012763828713947700421595020807362463017915558882968671884360462894722769199<273>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 23, 2019 00:00:00 UTC 2019 年 4 月 23 日 (火) 9 時 0 分 0 秒 (日本時間)

7×10283-3

c274

composite cofactor 合成数の残り
3110994204235174634639026428667247097684498351139495239338876863652138742546779581754436203149153312490683386216620867064048927662876951641898875257995143786845355124541353463082722122661047544610716812948045910274221815566432181592366764606469186790206859159406684338651763<274>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 23, 2019 00:00:00 UTC 2019 年 4 月 23 日 (火) 9 時 0 分 0 秒 (日本時間)

7×10284-3

c285

composite cofactor 合成数の残り
699999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997<285>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 23, 2019 00:00:00 UTC 2019 年 4 月 23 日 (火) 9 時 0 分 0 秒 (日本時間)
4511e62000Dmitry DomanovApril 26, 2019 04:20:33 UTC 2019 年 4 月 26 日 (金) 13 時 20 分 33 秒 (日本時間)
5043e670002000Dmitry DomanovApril 29, 2019 10:58:26 UTC 2019 年 4 月 29 日 (月) 19 時 58 分 26 秒 (日本時間)
3000Dmitry DomanovJune 3, 2019 13:21:15 UTC 2019 年 6 月 3 日 (月) 22 時 21 分 15 秒 (日本時間)
2000Dmitry DomanovJuly 31, 2020 20:12:48 UTC 2020 年 8 月 1 日 (土) 5 時 12 分 48 秒 (日本時間)

7×10287-3

c257

composite cofactor 合成数の残り
15148010508490350281670993918716677548964052024810196292456498475576140321812567278846533593765239253485616210475624853827165953042132579212830109517920949941561660046266911516249486275169560837558940890251383982597712633323680367792813979124575151798973579<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 23, 2019 00:00:00 UTC 2019 年 4 月 23 日 (火) 9 時 0 分 0 秒 (日本時間)

7×10288-3

c233

composite cofactor 合成数の残り
80126084091020372025676937858390498198481849358015191301276653517546423897375401710997891867054161959085806722727054547164922252539488447515100125957066172220768334213106585963599491681238362737975264135206058927708639575426567483233<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 23, 2019 00:00:00 UTC 2019 年 4 月 23 日 (火) 9 時 0 分 0 秒 (日本時間)

7×10289-3

c283

composite cofactor 合成数の残り
2143262328787402491897626401268737815362298135689386910931620715683668074677750558006001808117336631589525093177564293200613548645058642872209116513282056904778314569735035520439665159963455540212178684025295271892881218472802506245236790836977925408408587611251772056947949741478167<283>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 23, 2019 00:00:00 UTC 2019 年 4 月 23 日 (火) 9 時 0 分 0 秒 (日本時間)

7×10294-3

c254

composite cofactor 合成数の残り
92948494683947418683969601587038929244196923192183909974603475081668562646288221688638896336362605566203300889571623462186472721733499840878816606407575398593053309912434805987736569525576627804271039059378439948584234139593068569079663458015201567148929<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 23, 2019 00:00:00 UTC 2019 年 4 月 23 日 (火) 9 時 0 分 0 秒 (日本時間)

7×10298-3

c258

composite cofactor 合成数の残り
981344551448895778127072351268019796427354067512510004235823040871509905457730771171215135951172760769229755691080409891523957621184482357185008736376978335737067289284863020145866255917225568469206558451746660325085320881618800519775005342982382700718086927<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 23, 2019 00:00:00 UTC 2019 年 4 月 23 日 (火) 9 時 0 分 0 秒 (日本時間)

7×10299-3

c225

composite cofactor 合成数の残り
205756533738532936592580524613934944025375254097065701825285517221309310080939621324615450356248306777404705480364648183563527708885843465378171333299480822123747510349796344146546168165837001326772185717092243194661862217903<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 23, 2019 00:00:00 UTC 2019 年 4 月 23 日 (火) 9 時 0 分 0 秒 (日本時間)

7×10300-3

c217

composite cofactor 合成数の残り
1053829457071317802449023925686706468149540605061008124379985369186950252607995489141898493817524836011354326467283550706369228742403185117973523552042654181104061806007926752556184891918912137884366815896338503135629<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 23, 2019 00:00:00 UTC 2019 年 4 月 23 日 (火) 9 時 0 分 0 秒 (日本時間)
4511e62000Dmitry DomanovApril 24, 2019 21:23:45 UTC 2019 年 4 月 25 日 (木) 6 時 23 分 45 秒 (日本時間)
5043e6600 / 6996Dmitry DomanovApril 26, 2019 11:28:22 UTC 2019 年 4 月 26 日 (金) 20 時 28 分 22 秒 (日本時間)