Table of contents 目次

5×10110+3

c88

name 名前Jo Yeong Uk
date 日付July 13, 2007 15:19:00 UTC 2007 年 7 月 14 日 (土) 0 時 19 分 0 秒 (日本時間)
composite number 合成数
1772522450443559105303400406863312386769861079139349751622786142722504963484025911782971<88>
prime factors 素因数
6039261878537983804809377055481<31>
293499849169094259922144875395852639709254512750131598291<57>
factorization results 素因数分解の結果
Number: 50003_110
N=1772522450443559105303400406863312386769861079139349751622786142722504963484025911782971
  ( 88 digits)
SNFS difficulty: 110 digits.
Divisors found:
 r1=6039261878537983804809377055481 (pp31)
 r2=293499849169094259922144875395852639709254512750131598291 (pp57)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.51 hours.
Scaled time: 1.08 units (timescale=2.144).
Factorization parameters were as follows:
n: 1772522450443559105303400406863312386769861079139349751622786142722504963484025911782971
m: 10000000000000000000000
c5: 5
c0: 3
skew: 0.9
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, 280001)
Primes: RFBsize:30757, AFBsize:30494, largePrimes:1050943 encountered
Relations: rels:988188, finalFF:104048
Max relations in full relation-set: 28
Initial matrix: 61316 x 104048 with sparse part having weight 4750487.
Pruned matrix : 47929 x 48299 with weight 1555471.
Total sieving time: 0.48 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,110,5,0,0,0,0,0,0,0,0,360000,360000,25,25,44,44,2.2,2.2,20000
total time: 0.51 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

5×10114+3

c104

name 名前Jo Yeong Uk
date 日付July 13, 2007 15:28:07 UTC 2007 年 7 月 14 日 (土) 0 時 28 分 7 秒 (日本時間)
composite number 合成数
15799317631118626468490249640104333120774198019987032630994473961208379779282675169509041640621008750953<104>
prime factors 素因数
1081354250785203149101117499513<31>
33280544906954346861035663714839<32>
439015556833735689338180321004768868727479<42>
factorization results 素因数分解の結果
Number: 50003_114
N=15799317631118626468490249640104333120774198019987032630994473961208379779282675169509041640621008750953
  ( 104 digits)
SNFS difficulty: 115 digits.
Divisors found:
 r1=1081354250785203149101117499513 (pp31)
 r2=33280544906954346861035663714839 (pp32)
 r3=439015556833735689338180321004768868727479 (pp42)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.54 hours.
Scaled time: 1.15 units (timescale=2.143).
Factorization parameters were as follows:
n: 15799317631118626468490249640104333120774198019987032630994473961208379779282675169509041640621008750953
m: 100000000000000000000000
c5: 1
c0: 6
skew: 1.43
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:30754, largePrimes:976509 encountered
Relations: rels:884427, finalFF:74434
Max relations in full relation-set: 28
Initial matrix: 61575 x 74434 with sparse part having weight 3217169.
Pruned matrix : 56872 x 57243 with weight 1876427.
Total sieving time: 0.51 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,115,5,0,0,0,0,0,0,0,0,360000,360000,25,25,44,44,2.2,2.2,20000
total time: 0.54 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

5×10119+3

c114

name 名前Jo Yeong Uk
date 日付July 13, 2007 16:13:29 UTC 2007 年 7 月 14 日 (土) 1 時 13 分 29 秒 (日本時間)
composite number 合成数
142033067002394961575794383842091044900345339199109623109575386464873660166570699657728715137628621594650693817329<114>
prime factors 素因数
90543020753040293576959578835244863827338385803<47>
1568680455115318344001740770037613906724896970510571219229245382643<67>
factorization results 素因数分解の結果
Number: 50003_119
N=142033067002394961575794383842091044900345339199109623109575386464873660166570699657728715137628621594650693817329
  ( 114 digits)
SNFS difficulty: 120 digits.
Divisors found:
 r1=90543020753040293576959578835244863827338385803 (pp47)
 r2=1568680455115318344001740770037613906724896970510571219229245382643 (pp67)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.79 hours.
Scaled time: 1.69 units (timescale=2.143).
Factorization parameters were as follows:
n: 142033067002394961575794383842091044900345339199109623109575386464873660166570699657728715137628621594650693817329
m: 1000000000000000000000000
c5: 1
c0: 6
skew: 1.43
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, 420001)
Primes: RFBsize:49098, AFBsize:49231, largePrimes:1971794 encountered
Relations: rels:2027062, finalFF:202354
Max relations in full relation-set: 28
Initial matrix: 98393 x 202354 with sparse part having weight 16943511.
Pruned matrix : 76211 x 76766 with weight 4142003.
Total sieving time: 0.74 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,120,5,0,0,0,0,0,0,0,0,600000,600000,25,25,46,46,2.4,2.4,30000
total time: 0.79 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

5×10123+3

c124

name 名前Jo Yeong Uk
date 日付July 13, 2007 14:02:52 UTC 2007 年 7 月 13 日 (金) 23 時 2 分 52 秒 (日本時間)
composite number 合成数
5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003<124>
prime factors 素因数
29103572282156559112182740936226932631374490509<47>
171800215847231475291585450337672992777067604341481417436023086954002453065167<78>
factorization results 素因数分解の結果
Number: 50003_123
N=5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003
  ( 124 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=29103572282156559112182740936226932631374490509 (pp47)
 r2=171800215847231475291585450337672992777067604341481417436023086954002453065167 (pp78)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 1.06 hours.
Scaled time: 2.26 units (timescale=2.129).
Factorization parameters were as follows:
n: 5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003
m: 10000000000000000000000000
c5: 1
c0: 60
skew: 2.27
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, 480001)
Primes: RFBsize:49098, AFBsize:48986, largePrimes:1922445 encountered
Relations: rels:1871417, finalFF:110397
Max relations in full relation-set: 28
Initial matrix: 98148 x 110397 with sparse part having weight 9157899.
Pruned matrix : 94827 x 95381 with weight 6835596.
Total sieving time: 0.99 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,125,5,0,0,0,0,0,0,0,0,600000,600000,25,25,46,46,2.4,2.4,30000
total time: 1.06 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

5×10124+3

c84

name 名前Jo Yeong Uk
date 日付July 13, 2007 14:45:14 UTC 2007 年 7 月 13 日 (金) 23 時 45 分 14 秒 (日本時間)
composite number 合成数
129973857200848371297919511176220553709357372754369950897383608306308229333303896021<84>
prime factors 素因数
128040753937687879477084697015491<33>
1015097562328485295738336683852546474132803693053831<52>
factorization results 素因数分解の結果
Fri Jul 13 23:24:22 2007  
Fri Jul 13 23:24:22 2007  
Fri Jul 13 23:24:22 2007  Msieve v. 1.21
Fri Jul 13 23:24:22 2007  random seeds: 1a661020 c160427d
Fri Jul 13 23:24:22 2007  factoring 129973857200848371297919511176220553709357372754369950897383608306308229333303896021 (84 digits)
Fri Jul 13 23:24:23 2007  commencing quadratic sieve (83-digit input)
Fri Jul 13 23:24:23 2007  using multiplier of 1
Fri Jul 13 23:24:23 2007  using 32kb Intel Core sieve core
Fri Jul 13 23:24:23 2007  sieve interval: 12 blocks of size 32768
Fri Jul 13 23:24:23 2007  processing polynomials in batches of 17
Fri Jul 13 23:24:23 2007  using a sieve bound of 1388659 (53235 primes)
Fri Jul 13 23:24:23 2007  using large prime bound of 120813333 (26 bits)
Fri Jul 13 23:24:23 2007  using trial factoring cutoff of 27 bits
Fri Jul 13 23:24:23 2007  polynomial 'A' values have 11 factors
Fri Jul 13 23:45:21 2007  53475 relations (27195 full + 26280 combined from 283677 partial), need 53331
Fri Jul 13 23:45:21 2007  begin with 310872 relations
Fri Jul 13 23:45:21 2007  reduce to 76468 relations in 2 passes
Fri Jul 13 23:45:21 2007  attempting to read 76468 relations
Fri Jul 13 23:45:21 2007  recovered 76468 relations
Fri Jul 13 23:45:21 2007  recovered 69986 polynomials
Fri Jul 13 23:45:21 2007  attempting to build 53475 cycles
Fri Jul 13 23:45:21 2007  found 53475 cycles in 1 passes
Fri Jul 13 23:45:21 2007  distribution of cycle lengths:
Fri Jul 13 23:45:21 2007     length 1 : 27195
Fri Jul 13 23:45:21 2007     length 2 : 26280
Fri Jul 13 23:45:21 2007  largest cycle: 2 relations
Fri Jul 13 23:45:21 2007  matrix is 53235 x 53475 with weight 1691816 (avg 31.64/col)
Fri Jul 13 23:45:22 2007  filtering completed in 4 passes
Fri Jul 13 23:45:22 2007  matrix is 46232 x 46296 with weight 1435739 (avg 31.01/col)
Fri Jul 13 23:45:22 2007  saving the first 48 matrix rows for later
Fri Jul 13 23:45:22 2007  matrix is 46184 x 46296 with weight 1076659 (avg 23.26/col)
Fri Jul 13 23:45:22 2007  matrix includes 32 packed rows
Fri Jul 13 23:45:47 2007  lanczos halted after 732 iterations
Fri Jul 13 23:45:47 2007  recovered 12 nontrivial dependencies
Fri Jul 13 23:45:47 2007  prp33 factor: 128040753937687879477084697015491
Fri Jul 13 23:45:47 2007  prp52 factor: 1015097562328485295738336683852546474132803693053831
Fri Jul 13 23:45:47 2007  elapsed time 00:21:25
execution environment 実行環境
Core 2 Quad Q6600

5×10126+3

c121

name 名前Jo Yeong Uk
date 日付July 14, 2007 00:44:15 UTC 2007 年 7 月 14 日 (土) 9 時 44 分 15 秒 (日本時間)
composite number 合成数
6613870344331317866577070769735458413967435947972650323352121134358130496952989932366561858867943496382874308685202258769<121>
prime factors 素因数
1771845148714035530042375961149100976639<40>
3732758672015730547173100481173208742246650750942529540645311897013388939508906671<82>
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 6613870344331317866577070769735458413967435947972650323352121134358130496952989932366561858867943496382874308685202258769 (121 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1186508037
Step 1 took 6669ms
Step 2 took 3723ms
********** Factor found in step 2: 1771845148714035530042375961149100976639
Found probable prime factor of 40 digits: 1771845148714035530042375961149100976639
Probable prime cofactor 3732758672015730547173100481173208742246650750942529540645311897013388939508906671 has 82 digits
execution environment 実行環境
Core 2 Quad Q6600

5×10127+3

c108

name 名前Jo Yeong Uk
date 日付July 13, 2007 22:48:38 UTC 2007 年 7 月 14 日 (土) 7 時 48 分 38 秒 (日本時間)
composite number 合成数
249844286024818220741035744573045636708283626061439674155282228781140251632626328238387459408545663421335983<108>
prime factors 素因数
231486198826356536297596881484840829<36>
1079305320539789652825036330387473369897040690627974500945419108513238427<73>
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 249844286024818220741035744573045636708283626061439674155282228781140251632626328238387459408545663421335983 (108 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1941662947
Step 1 took 5458ms
********** Factor found in step 1: 231486198826356536297596881484840829
Found probable prime factor of 36 digits: 231486198826356536297596881484840829
Probable prime cofactor 1079305320539789652825036330387473369897040690627974500945419108513238427 has 73 digits
execution environment 実行環境
Core 2 Quad Q6600

5×10128+3

c99

name 名前Robert Backstrom
date 日付July 13, 2007 21:16:27 UTC 2007 年 7 月 14 日 (土) 6 時 16 分 27 秒 (日本時間)
composite number 合成数
606633868739757406203256446479850116767816318805314527242598676929677564111420625371388633713628407<99>
prime factors 素因数
778977109190834486013530928931812523699<39>
778756989881128479103802248680558442310201163296540906795693<60>
factorization results 素因数分解の結果
Number: n
N=606633868739757406203256446479850116767816318805314527242598676929677564111420625371388633713628407
  ( 99 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=778977109190834486013530928931812523699 (pp39)
 r2=778756989881128479103802248680558442310201163296540906795693 (pp60)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 2.38 hours.
Scaled time: 3.45 units (timescale=1.449).
Factorization parameters were as follows:
name: KA_5_0_127_3
n: 606633868739757406203256446479850116767816318805314527242598676929677564111420625371388633713628407
skew: 1.13
deg: 5
c5: 8
c0: 15
m: 50000000000000000000000000
type: snfs
rlim: 1000000
alim: 1000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 400001)
Primes: RFBsize:78498, AFBsize:78351, largePrimes:5398510 encountered
Relations: rels:4800608, finalFF:256002
Max relations in full relation-set: 28
Initial matrix: 156914 x 256002 with sparse part having weight 19788163.
Pruned matrix : 117925 x 118773 with weight 6523826.
Total sieving time: 2.01 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.18 hours.
Total square root time: 0.04 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,129,5,0,0,0,0,0,0,0,0,1000000,1000000,28,28,48,48,2.5,2.5,50000
total time: 2.38 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

5×10130+3

c129

name 名前Jo Yeong Uk
date 日付July 14, 2007 03:32:55 UTC 2007 年 7 月 14 日 (土) 12 時 32 分 55 秒 (日本時間)
composite number 合成数
143266475644699140401146131805157593123209169054441260744985673352435530085959885386819484240687679083094555873925501432664756447<129>
prime factors 素因数
223050252687486781077222133508703494233225969<45>
642305820856559171936319435779114051384175861818268799381835937621892642342986131663<84>
factorization results 素因数分解の結果
Number: 50003_130
N=143266475644699140401146131805157593123209169054441260744985673352435530085959885386819484240687679083094555873925501432664756447
  ( 129 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=223050252687486781077222133508703494233225969 (pp45)
 r2=642305820856559171936319435779114051384175861818268799381835937621892642342986131663 (pp84)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 1.97 hours.
Scaled time: 4.23 units (timescale=2.144).
Factorization parameters were as follows:
n: 143266475644699140401146131805157593123209169054441260744985673352435530085959885386819484240687679083094555873925501432664756447
m: 100000000000000000000000000
c5: 5
c0: 3
skew: 0.9
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:78421, largePrimes:1491823 encountered
Relations: rels:1505178, finalFF:190379
Max relations in full relation-set: 28
Initial matrix: 156984 x 190379 with sparse part having weight 9500964.
Pruned matrix : 140981 x 141829 with weight 5530242.
Total sieving time: 1.90 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,130,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,44,44,2.2,2.2,50000
total time: 1.97 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 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

5×10131+3

c120

name 名前Jo Yeong Uk
date 日付July 14, 2007 06:12:02 UTC 2007 年 7 月 14 日 (土) 15 時 12 分 2 秒 (日本時間)
composite number 合成数
332862752567528046530685118837102160591749923555522639241418808436225983242944407127183464433987927779293409445570037599<120>
prime factors 素因数
523541404697611061806834745219853229328170446317<48>
635790693115827427508005325491084683125703813484245526914108384957137147<72>
factorization results 素因数分解の結果
Number: 50003_131
N=332862752567528046530685118837102160591749923555522639241418808436225983242944407127183464433987927779293409445570037599
  ( 120 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=523541404697611061806834745219853229328170446317 (pp48)
 r2=635790693115827427508005325491084683125703813484245526914108384957137147 (pp72)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 2.42 hours.
Scaled time: 5.12 units (timescale=2.118).
Factorization parameters were as follows:
n: 332862752567528046530685118837102160591749923555522639241418808436225983242944407127183464433987927779293409445570037599
m: 100000000000000000000000000
c5: 50
c0: 3
skew: 0.57
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, 1000001)
Primes: RFBsize:78498, AFBsize:78466, largePrimes:1559164 encountered
Relations: rels:1595536, finalFF:210853
Max relations in full relation-set: 28
Initial matrix: 157029 x 210853 with sparse part having weight 10838743.
Pruned matrix : 135540 x 136389 with weight 5520586.
Total sieving time: 2.34 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,131,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,44,44,2.2,2.2,50000
total time: 2.42 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

5×10132+3

c129

name 名前Jo Yeong Uk
date 日付July 14, 2007 09:18:22 UTC 2007 年 7 月 14 日 (土) 18 時 18 分 22 秒 (日本時間)
composite number 合成数
308889849879532958546982146166676962994995984431951566071538889232099833199481065052202384629641069994439982702168406746154321369<129>
prime factors 素因数
18572566704029876782615951371188489713635855833627934104693<59>
16631511131550278291805996309948604657716454712748581690326108061640533<71>
factorization results 素因数分解の結果
Number: 50003_132
N=308889849879532958546982146166676962994995984431951566071538889232099833199481065052202384629641069994439982702168406746154321369
  ( 129 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=18572566704029876782615951371188489713635855833627934104693 (pp59)
 r2=16631511131550278291805996309948604657716454712748581690326108061640533 (pp71)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 2.52 hours.
Scaled time: 5.41 units (timescale=2.144).
Factorization parameters were as follows:
n: 308889849879532958546982146166676962994995984431951566071538889232099833199481065052202384629641069994439982702168406746154321369
m: 500000000000000000000000000
c5: 4
c0: 75
skew: 1.8
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, 1150001)
Primes: RFBsize:107126, AFBsize:106673, largePrimes:1795749 encountered
Relations: rels:1865223, finalFF:245894
Max relations in full relation-set: 28
Initial matrix: 213863 x 245894 with sparse part having weight 12440753.
Pruned matrix : 192707 x 193840 with weight 7862026.
Total sieving time: 2.38 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,134,5,0,0,0,0,0,0,0,0,1400000,1400000,25,25,45,45,2.3,2.3,50000
total time: 2.52 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

5×10133+3

c124

name 名前Jo Yeong Uk
date 日付July 14, 2007 12:12:35 UTC 2007 年 7 月 14 日 (土) 21 時 12 分 35 秒 (日本時間)
composite number 合成数
4522009349764594173325890157795994688624718772270474935469929475797618053624329089471361776496421369211037031120835260918577<124>
prime factors 素因数
886544732452880113982144287654486535090287<42>
5100711993689431955514377563639991758308507294250704290195426082082810455667928671<82>
factorization results 素因数分解の結果
Number: 50003_133
N=4522009349764594173325890157795994688624718772270474935469929475797618053624329089471361776496421369211037031120835260918577
  ( 124 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=886544732452880113982144287654486535090287 (pp42)
 r2=5100711993689431955514377563639991758308507294250704290195426082082810455667928671 (pp82)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 2.78 hours.
Scaled time: 5.91 units (timescale=2.128).
Factorization parameters were as follows:
n: 4522009349764594173325890157795994688624718772270474935469929475797618053624329089471361776496421369211037031120835260918577
m: 1000000000000000000000000000
c5: 1
c0: 60
skew: 2.27
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, 1200001)
Primes: RFBsize:107126, AFBsize:106993, largePrimes:1858990 encountered
Relations: rels:1990762, finalFF:296586
Max relations in full relation-set: 28
Initial matrix: 214183 x 296586 with sparse part having weight 15830089.
Pruned matrix : 168876 x 170010 with weight 7418709.
Total sieving time: 2.66 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,135,5,0,0,0,0,0,0,0,0,1400000,1400000,25,25,45,45,2.3,2.3,50000
total time: 2.78 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

5×10135+3

c83

name 名前Jo Yeong Uk
date 日付July 13, 2007 14:21:48 UTC 2007 年 7 月 13 日 (金) 23 時 21 分 48 秒 (日本時間)
composite number 合成数
33554119945116336385337462642964476014723803391219875848421325898095952849784674161<83>
prime factors 素因数
103888204664039275506234925332227<33>
322982960901345113517889401979443805784667940709243<51>
factorization results 素因数分解の結果
Fri Jul 13 23:04:56 2007  
Fri Jul 13 23:04:56 2007  
Fri Jul 13 23:04:56 2007  Msieve v. 1.21
Fri Jul 13 23:04:56 2007  random seeds: d29e7421 231acc36
Fri Jul 13 23:04:56 2007  factoring 33554119945116336385337462642964476014723803391219875848421325898095952849784674161 (83 digits)
Fri Jul 13 23:04:56 2007  commencing quadratic sieve (83-digit input)
Fri Jul 13 23:04:56 2007  using multiplier of 1
Fri Jul 13 23:04:56 2007  using 32kb Intel Core sieve core
Fri Jul 13 23:04:56 2007  sieve interval: 12 blocks of size 32768
Fri Jul 13 23:04:56 2007  processing polynomials in batches of 17
Fri Jul 13 23:04:56 2007  using a sieve bound of 1372829 (52647 primes)
Fri Jul 13 23:04:56 2007  using large prime bound of 122181781 (26 bits)
Fri Jul 13 23:04:56 2007  using trial factoring cutoff of 27 bits
Fri Jul 13 23:04:56 2007  polynomial 'A' values have 10 factors
Fri Jul 13 23:21:48 2007  52748 relations (27073 full + 25675 combined from 277937 partial), need 52743
Fri Jul 13 23:21:48 2007  begin with 305010 relations
Fri Jul 13 23:21:48 2007  reduce to 75223 relations in 2 passes
Fri Jul 13 23:21:48 2007  attempting to read 75223 relations
Fri Jul 13 23:21:48 2007  recovered 75223 relations
Fri Jul 13 23:21:48 2007  recovered 67365 polynomials
Fri Jul 13 23:21:48 2007  attempting to build 52748 cycles
Fri Jul 13 23:21:48 2007  found 52748 cycles in 1 passes
Fri Jul 13 23:21:48 2007  distribution of cycle lengths:
Fri Jul 13 23:21:48 2007     length 1 : 27073
Fri Jul 13 23:21:48 2007     length 2 : 25675
Fri Jul 13 23:21:48 2007  largest cycle: 2 relations
Fri Jul 13 23:21:48 2007  matrix is 52647 x 52748 with weight 1615124 (avg 30.62/col)
Fri Jul 13 23:21:48 2007  filtering completed in 4 passes
Fri Jul 13 23:21:48 2007  matrix is 45423 x 45487 with weight 1365016 (avg 30.01/col)
Fri Jul 13 23:21:49 2007  saving the first 48 matrix rows for later
Fri Jul 13 23:21:49 2007  matrix is 45375 x 45487 with weight 1103284 (avg 24.25/col)
Fri Jul 13 23:21:49 2007  matrix includes 32 packed rows
Fri Jul 13 23:22:10 2007  lanczos halted after 719 iterations
Fri Jul 13 23:22:10 2007  recovered 9 nontrivial dependencies
Fri Jul 13 23:22:11 2007  prp33 factor: 103888204664039275506234925332227
Fri Jul 13 23:22:11 2007  prp51 factor: 322982960901345113517889401979443805784667940709243
Fri Jul 13 23:22:11 2007  elapsed time 00:17:15
execution environment 実行環境
Core 2 Quad Q6600

5×10136+3

c124

name 名前Robert Backstrom
date 日付July 14, 2007 18:24:46 UTC 2007 年 7 月 15 日 (日) 3 時 24 分 46 秒 (日本時間)
composite number 合成数
2658387625955344283447253598161736872225766192093870684024282834889948633340957531901645111619482902526329350996955516655339<124>
prime factors 素因数
5824999790723064946307734440392437977214744000689735893063<58>
456375574500296265791802787296814526424506695836333278231520021053<66>
factorization results 素因数分解の結果
Number: n
N=2658387625955344283447253598161736872225766192093870684024282834889948633340957531901645111619482902526329350996955516655339
  ( 124 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=5824999790723064946307734440392437977214744000689735893063 (pp58)
 r2=456375574500296265791802787296814526424506695836333278231520021053 (pp66)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 5.26 hours.
Scaled time: 6.96 units (timescale=1.324).
Factorization parameters were as follows:
name: KA_5_0_135_3
n: 2658387625955344283447253598161736872225766192093870684024282834889948633340957531901645111619482902526329350996955516655339
skew: 0.57
deg: 5
c5: 50
c0: 3
m: 1000000000000000000000000000
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, 500001)
Primes: RFBsize:183072, AFBsize:182856, largePrimes:5537962 encountered
Relations: rels:5074935, finalFF:454061
Max relations in full relation-set: 48
Initial matrix: 365993 x 454061 with sparse part having weight 18698401.
Pruned matrix : 276551 x 278444 with weight 8183715.
Total sieving time: 4.18 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.82 hours.
Total square root time: 0.13 hours, sqrts: 4.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,2500000,2500000,28,28,48,48,2.5,2.5,75000
total time: 5.26 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

5×10137+3

c125

name 名前Robert Backstrom
date 日付July 15, 2007 03:17:25 UTC 2007 年 7 月 15 日 (日) 12 時 17 分 25 秒 (日本時間)
composite number 合成数
17344653812805218322201570213942926988367052498223811015981967787777496609303098136878312186566884764798888346267889311431727<125>
prime factors 素因数
14133656423605033089328341238732583072598888641345800951<56>
1227188017945406154897963678957290689881567366655657179710045847933577<70>
factorization results 素因数分解の結果
Number: n
N=17344653812805218322201570213942926988367052498223811015981967787777496609303098136878312186566884764798888346267889311431727
  ( 125 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=14133656423605033089328341238732583072598888641345800951 (pp56)
 r2=1227188017945406154897963678957290689881567366655657179710045847933577 (pp70)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 6.48 hours.
Scaled time: 7.74 units (timescale=1.195).
Factorization parameters were as follows:
name: KA_5_0_136_3
n: 17344653812805218322201570213942926988367052498223811015981967787777496609303098136878312186566884764798888346267889311431727
type: snfs
skew: 0.36
deg: 5
c5: 500
c0: 3
m: 1000000000000000000000000000
rlim: 2000000
alim: 2000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 700001)
Primes: RFBsize:148933, AFBsize:148735, largePrimes:5741066 encountered
Relations: rels:5246168, finalFF:473203
Max relations in full relation-set: 28
Initial matrix: 297734 x 473203 with sparse part having weight 21419198.
Pruned matrix : 149345 x 150897 with weight 8231855.
Total sieving time: 5.80 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 0.48 hours.
Total square root time: 0.04 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,137,5,0,0,0,0,0,0,0,0,2000000,2000000,28,28,48,48,2.3,2.3,75000
total time: 6.48 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

5×10144+3

c143

name 名前Robert Backstrom
date 日付July 15, 2007 03:30:25 UTC 2007 年 7 月 15 日 (日) 12 時 30 分 25 秒 (日本時間)
composite number 合成数
94339622641509433962264150943396226415094339622641509433962264150943396226415094339622641509433962264150943396226415094339622641509433962264151<143>
prime factors 素因数
8915485535218874463020966252542555006448848732763244901456195853393<67>
10581546262269091742312886939766011985159784242637011168380827339866200032807<77>
factorization results 素因数分解の結果
Number: n
N=94339622641509433962264150943396226415094339622641509433962264150943396226415094339622641509433962264150943396226415094339622641509433962264151
  ( 143 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=8915485535218874463020966252542555006448848732763244901456195853393 (pp67)
 r2=10581546262269091742312886939766011985159784242637011168380827339866200032807 (pp77)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 7.42 hours.
Scaled time: 9.79 units (timescale=1.320).
Factorization parameters were as follows:
name: KA_5_0_143_3
n: 94339622641509433962264150943396226415094339622641509433962264150943396226415094339622641509433962264150943396226415094339622641509433962264151
skew: 1.43
deg: 5
c5: 1
c0: 6
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, 800001)
Primes: RFBsize:183072, AFBsize:183151, largePrimes:6364163 encountered
Relations: rels:5878097, finalFF:499432
Max relations in full relation-set: 48
Initial matrix: 366287 x 499432 with sparse part having weight 26509055.
Pruned matrix : 248154 x 250049 with weight 10949064.
Total sieving time: 6.14 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.04 hours.
Total square root time: 0.08 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,145,5,0,0,0,0,0,0,0,0,2500000,2500000,28,28,48,48,2.5,2.5,100000
total time: 7.42 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

5×10145+3

c142

name 名前JMB
date 日付July 14, 2007 14:31:33 UTC 2007 年 7 月 14 日 (土) 23 時 31 分 33 秒 (日本時間)
composite number 合成数
4585893790699807392460790608089516646794460240300834632669907364945427863890672292029716591763734751903145923140420067871228102357149408419701<142>
prime factors 素因数
323797439456498340561904697913457873787<39>
composite cofactor 合成数の残り
14162847607434260658361502210554839882035030992737898227692191559764168402119735000385403725547533839823<104>
factorization results 素因数分解の結果
A factor was found for 5*10^145+3 using GMP-ECM using factor method ECM
   Candidate number: 4585893790699807392460790608089516646794460240300834632669907364945427863890672292029716591763734751903145923140420067871228102357149408419701
   Factor: 323797439456498340561904697913457873787
   Factor Type: probable
   Factor Length: 39
   Co-Factor: 14162847607434260658361502210554839882035030992737898227692191559764168402119735000385403725547533839823
   Co-Factor Type: Composite
   Co-Factor Length: 104
   B1: 1000000
   Sigma: 3545776710
   Finder: j_m_berg@yahoo.com
   Found on machine: MainBox

c104

name 名前JMB
date 日付July 14, 2007 21:01:20 UTC 2007 年 7 月 15 日 (日) 6 時 1 分 20 秒 (日本時間)
composite number 合成数
14162847607434260658361502210554839882035030992737898227692191559764168402119735000385403725547533839823<104>
prime factors 素因数
2465188889777582684991267296272427043966702509<46>
5745136880246153704523428561631148137811827694096870119147<58>
factorization results 素因数分解の結果
r1 = 5745136880246153704523428561631148137811827694096870119147
r2 = 2465188889777582684991267296272427043966702509
software ソフトウェア
GGNFS 
execution environment 実行環境
Network distributed via custom TCP/IP network

5×10149+3

c146

name 名前Jo Yeong Uk
date 日付July 15, 2007 13:40:08 UTC 2007 年 7 月 15 日 (日) 22 時 40 分 8 秒 (日本時間)
composite number 合成数
36990456462232743952060368424946363838129762521269512465783827772434711844344159206924613449729969667825700969149959310497891543981652733594732559<146>
prime factors 素因数
5243209539041849099760187057760329315540666673453359958582230909941313<70>
7054926221581529213954354507669417037749392705948230321975121930804768049743<76>
factorization results 素因数分解の結果
Number: 50003_149
N=36990456462232743952060368424946363838129762521269512465783827772434711844344159206924613449729969667825700969149959310497891543981652733594732559
  ( 146 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=5243209539041849099760187057760329315540666673453359958582230909941313 (pp70)
 r2=7054926221581529213954354507669417037749392705948230321975121930804768049743 (pp76)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 10.32 hours.
Scaled time: 22.11 units (timescale=2.143).
Factorization parameters were as follows:
n: 36990456462232743952060368424946363838129762521269512465783827772434711844344159206924613449729969667825700969149959310497891543981652733594732559
m: 1000000000000000000000000000000
c5: 1
c0: 6
skew: 1.43
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, 1575001)
Primes: RFBsize:135072, AFBsize:135038, largePrimes:3902867 encountered
Relations: rels:4084643, finalFF:460007
Max relations in full relation-set: 28
Initial matrix: 270174 x 460007 with sparse part having weight 43534247.
Pruned matrix : 208806 x 210220 with weight 19236951.
Total sieving time: 10.03 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.21 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,1800000,1800000,26,26,48,48,2.3,2.3,75000
total time: 10.32 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

5×10151+3

c147

name 名前Robert Backstrom
date 日付July 16, 2007 01:12:49 UTC 2007 年 7 月 16 日 (月) 10 時 12 分 49 秒 (日本時間)
composite number 合成数
119183545043037178115040725017341205803761909415738425490023145444447357819989940908798367662167090562808536402230162494845311676888642046524488643<147>
prime factors 素因数
16270985621257205906905273044911329<35>
1985841848915255165882503532099473704607<40>
3688567872296026104787199609577180339676172266118012744852132484083849981<73>
factorization results 素因数分解の結果
GMP-ECM 5.0 [powered by GMP 4.1.2] [ECM]
Input number is 119183545043037178115040725017341205803761909415738425490023145444447357819989940908798367662167090562808536402230162494845311676888642046524488643 (147 digits)
Using B1=891500, B2=712816779, polynomial Dickson(3), sigma=1474273551
Step 1 took 17760ms
Step 2 took 11440ms
********** Factor found in step 2: 16270985621257205906905273044911329
Found probable prime factor of 35 digits: 16270985621257205906905273044911329
Composite cofactor 7324912443369749282814026596498825470913846589987658708241984849562150308735119605514615544006418914029296562467 has 112 digits


Number: n
N=7324912443369749282814026596498825470913846589987658708241984849562150308735119605514615544006418914029296562467
  ( 112 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=1985841848915255165882503532099473704607 (pp40)
 r2=3688567872296026104787199609577180339676172266118012744852132484083849981 (pp73)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 19.96 hours.
Scaled time: 27.26 units (timescale=1.366).
Factorization parameters were as follows:
name: KA_5_0_150_3

n: 7324912443369749282814026596498825470913846589987658708241984849562150308735119605514615544006418914029296562467

# n: 119183545043037178115040725017341205803761909415738425490023145444447357819989940908798367662167090562808536402230162494845311676888642046524488643

skew: 0.57
deg: 5
c5: 50
c0: 3
m: 1000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
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 [100000, 800001)
Primes: RFBsize:216816, AFBsize:216516, largePrimes:6804261 encountered
Relations: rels:6450784, finalFF:626071
Max relations in full relation-set: 28
Initial matrix: 433397 x 626071 with sparse part having weight 36162324.
Pruned matrix : 263684 x 265914 with weight 16092660.
Total sieving time: 17.97 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 1.70 hours.
Total square root time: 0.07 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 19.96 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

5×10152+3

c149

name 名前Robert Backstrom
date 日付July 16, 2007 11:03:29 UTC 2007 年 7 月 16 日 (月) 20 時 3 分 29 秒 (日本時間)
composite number 合成数
33627009213800524581343735288183468962270495662115811419732329006658147824332503867106059587060326854529558141098930661107001143318313269217835765687<149>
prime factors 素因数
135268966532217716081858222979343678676268459159986363363<57>
248593672856895851344394797338957581879512075361661154360125070884478563005695290561420504349<93>
factorization results 素因数分解の結果
Number: n
N=33627009213800524581343735288183468962270495662115811419732329006658147824332503867106059587060326854529558141098930661107001143318313269217835765687
  ( 149 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=135268966532217716081858222979343678676268459159986363363 (pp57)
 r2=248593672856895851344394797338957581879512075361661154360125070884478563005695290561420504349 (pp93)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 24.70 hours.
Scaled time: 29.56 units (timescale=1.197).
Factorization parameters were as follows:
name: KA_5_0_151_3
n: 33627009213800524581343735288183468962270495662115811419732329006658147824332503867106059587060326854529558141098930661107001143318313269217835765687
type: snfs
skew: 0.36
deg: 5
c5: 500
c0: 3
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 [100000, 1000001)
Primes: RFBsize:216816, AFBsize:216936, largePrimes:6041357 encountered
Relations: rels:5535427, finalFF:506590
Max relations in full relation-set: 28
Initial matrix: 433818 x 506590 with sparse part having weight 22617044.
Pruned matrix : 360584 x 362817 with weight 12620042.
Total sieving time: 22.48 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 1.96 hours.
Total square root time: 0.07 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.3,2.3,100000
total time: 24.70 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

5×10154+3

c150

name 名前Robert Backstrom
date 日付July 15, 2007 03:44:56 UTC 2007 年 7 月 15 日 (日) 12 時 44 分 56 秒 (日本時間)
composite number 合成数
401119926835725345163697042141659513361304762898011247402748473738678390065061652132754650985551660235377173067203632542057424328725802440413634868553<150>
prime factors 素因数
167160802616143494509108495516497129<36>
2399605173928420299498820740137566306845129879546122780196166540333527775067120892884179276851300720910497809301857<115>
factorization results 素因数分解の結果
Number: n
N=401119926835725345163697042141659513361304762898011247402748473738678390065061652132754650985551660235377173067203632542057424328725802440413634868553
  ( 150 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=167160802616143494509108495516497129 (pp36)
 r2=2399605173928420299498820740137566306845129879546122780196166540333527775067120892884179276851300720910497809301857 (pp115)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 18.03 hours.
Scaled time: 26.12 units (timescale=1.449).
Factorization parameters were as follows:
name: KA_5_0_153_3
n: 401119926835725345163697042141659513361304762898011247402748473738678390065061652132754650985551660235377173067203632542057424328725802440413634868553
skew: 1.43
deg: 5
c5: 1
c0: 6
m: 10000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
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 [100000, 800001)
Primes: RFBsize:216816, AFBsize:216821, largePrimes:6423682 encountered
Relations: rels:5914055, finalFF:487619
Max relations in full relation-set: 28
Initial matrix: 433701 x 487619 with sparse part having weight 27166609.
Pruned matrix : 381771 x 384003 with weight 17076701.
Total sieving time: 15.26 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 2.48 hours.
Total square root time: 0.15 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 18.03 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

5×10156+3

c135

name 名前JMB
date 日付July 13, 2007 21:08:39 UTC 2007 年 7 月 14 日 (土) 6 時 8 分 39 秒 (日本時間)
composite number 合成数
412926272662488877039033966450738432982396521234692704729993416925072676041642275537030807160319956947671347672990679866260536486387361<135>
prime factors 素因数
48999199953669556762469285191647229<35>
composite cofactor 合成数の残り
8427204384008820376729101935985157281095142510409891407641557472295423610841518758316232116592238709<100>
factorization results 素因数分解の結果
A factor was found for 5*10^156+3 using GMP-ECM using factor method ECM
   Candidate number: 412926272662488877039033966450738432982396521234692704729993416925072676041642275537030807160319956947671347672990679866260536486387361
   Factor: 48999199953669556762469285191647229
   Factor Type: probable
   Factor Length: 35
   Co-Factor: 8427204384008820376729101935985157281095142510409891407641557472295423610841518758316232116592238709
   Co-Factor Type: Composite
   Co-Factor Length: 100
   B1: 1000000
   Sigma: 2562771777
   Finder: j_m_berg@yahoo.com
   Found on machine: Test2A

c100

name 名前Jo Yeong Uk
date 日付July 15, 2007 00:36:02 UTC 2007 年 7 月 15 日 (日) 9 時 36 分 2 秒 (日本時間)
composite number 合成数
8427204384008820376729101935985157281095142510409891407641557472295423610841518758316232116592238709<100>
prime factors 素因数
16220542161012079506892689114089790259652611<44>
519539008028015605717126723388083053475004321678810798119<57>
factorization results 素因数分解の結果
Number: 50003_156
N=8427204384008820376729101935985157281095142510409891407641557472295423610841518758316232116592238709
  ( 100 digits)
Divisors found:
 r1=16220542161012079506892689114089790259652611 (pp44)
 r2=519539008028015605717126723388083053475004321678810798119 (pp57)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 3.73 hours.
Scaled time: 7.99 units (timescale=2.143).
Factorization parameters were as follows:
name: 50003_156
n: 8427204384008820376729101935985157281095142510409891407641557472295423610841518758316232116592238709
skew: 3444.23
# norm 9.10e+13
c5: 173280
c4: -628911052
c3: 10329441200556
c2: -274954422866913
c1: -77119095993536940626
c0: -44666410367268089640360
# alpha -6.59
Y1: 27461304337
Y0: -8657410638244314449
# Murphy_E 3.57e-09
# M 7478100621744003382968441551055951149169645585010492469244137615838640289772215551370324908911734284
type: gnfs
rlim: 1500000
alim: 1500000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [750000, 1250001)
Primes: RFBsize:114155, AFBsize:113396, largePrimes:3918665 encountered
Relations: rels:3901134, finalFF:350563
Max relations in full relation-set: 28
Initial matrix: 227632 x 350563 with sparse part having weight 27724694.
Pruned matrix : 160476 x 161678 with weight 11045630.
Polynomial selection time: 0.25 hours.
Total sieving time: 3.27 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,99,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,26,26,48,48,2.5,2.5,50000
total time: 3.73 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

5×10157+3

c154

name 名前Robert Backstrom
date 日付July 16, 2007 09:22:29 UTC 2007 年 7 月 16 日 (月) 18 時 22 分 29 秒 (日本時間)
composite number 合成数
6331518298087881473977459794858807141952640243130302646574648600734456122578194250981385336203621628466506268203115107002659237685196910219070533113840699<154>
prime factors 素因数
13437119575793745653860491268913351112372015271429983467581637225087533319599<77>
471196096929417376262628665137399248660726397583286864726053838970722199918901<78>
factorization results 素因数分解の結果
Number: n
N=6331518298087881473977459794858807141952640243130302646574648600734456122578194250981385336203621628466506268203115107002659237685196910219070533113840699
  ( 154 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=13437119575793745653860491268913351112372015271429983467581637225087533319599 (pp77)
 r2=471196096929417376262628665137399248660726397583286864726053838970722199918901 (pp78)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 29.27 hours.
Scaled time: 38.69 units (timescale=1.322).
Factorization parameters were as follows:
name: KA_5_0_156_3
n: 6331518298087881473977459794858807141952640243130302646574648600734456122578194250981385336203621628466506268203115107002659237685196910219070533113840699
skew: 0.36
deg: 5
c5: 500
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, 1200001)
Primes: RFBsize:250150, AFBsize:249916, largePrimes:7074187 encountered
Relations: rels:6675409, finalFF:633608
Max relations in full relation-set: 48
Initial matrix: 500132 x 633608 with sparse part having weight 36398161.
Pruned matrix : 379352 x 381916 with weight 17859403.
Total sieving time: 26.08 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 2.92 hours.
Total square root time: 0.06 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 29.27 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

5×10158+3

c143

name 名前Robert Backstrom
date 日付July 16, 2007 09:42:17 UTC 2007 年 7 月 16 日 (月) 18 時 42 分 17 秒 (日本時間)
composite number 合成数
21244869622173647341125524581467461321857532311440306649055866165271370428262898974355677169015308439811677066930201131833443993338133967631139<143>
prime factors 素因数
3336615942677038549001641449007892174836007<43>
6367190586858022590177464026314548769045456613292917746979423848926661873487443619330012203341779877<100>
factorization results 素因数分解の結果
Number: n
N=21244869622173647341125524581467461321857532311440306649055866165271370428262898974355677169015308439811677066930201131833443993338133967631139
  ( 143 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=3336615942677038549001641449007892174836007 (pp43)
 r2=6367190586858022590177464026314548769045456613292917746979423848926661873487443619330012203341779877 (pp100)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 29.31 hours.
Scaled time: 42.38 units (timescale=1.446).
Factorization parameters were as follows:
name: KA_5_0_157_3
n: 21244869622173647341125524581467461321857532311440306649055866165271370428262898974355677169015308439811677066930201131833443993338133967631139
skew: 1.13
deg: 5
c5: 8
c0: 15
m: 50000000000000000000000000000000
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, 1300001)
Primes: RFBsize:250150, AFBsize:249771, largePrimes:7121193 encountered
Relations: rels:6715214, finalFF:623828
Max relations in full relation-set: 28
Initial matrix: 499986 x 623828 with sparse part having weight 35936151.
Pruned matrix : 388924 x 391487 with weight 18826913.
Total sieving time: 25.99 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 3.08 hours.
Total square root time: 0.06 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,159,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 29.31 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

5×10159+3

c160

name 名前Jo Yeong Uk
date 日付July 15, 2007 00:38:49 UTC 2007 年 7 月 15 日 (日) 9 時 38 分 49 秒 (日本時間)
composite number 合成数
5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003<160>
prime factors 素因数
83066365779588590821426749068056416859826527<44>
60192834405048939466899798943567903902651745875844194867985009267232595787118690954252254004124505688435636777703389<116>
factorization results 素因数分解の結果
Number: 50003_159
N=5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003
  ( 160 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=83066365779588590821426749068056416859826527 (pp44)
 r2=60192834405048939466899798943567903902651745875844194867985009267232595787118690954252254004124505688435636777703389 (pp116)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 24.58 hours.
Scaled time: 51.97 units (timescale=2.114).
Factorization parameters were as follows:
n: 5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003
m: 100000000000000000000000000000000
c5: 1
c0: 6
skew: 1.43
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 3400001)
Primes: RFBsize:283146, AFBsize:283322, largePrimes:5636652 encountered
Relations: rels:5694712, finalFF:681230
Max relations in full relation-set: 28
Initial matrix: 566532 x 681230 with sparse part having weight 41699472.
Pruned matrix : 471507 x 474403 with weight 26271016.
Total sieving time: 23.28 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 1.18 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 24.58 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

5×10160+3

c131

name 名前JMB
date 日付July 13, 2007 15:24:34 UTC 2007 年 7 月 14 日 (土) 0 時 24 分 34 秒 (日本時間)
composite number 合成数
24255674566757459062213646321921265394574823300560150633913719139270253680775406006189303892079743299668723386379135038390497969239<131>
prime factors 素因数
82551714075637674821552052888550681<35>
composite cofactor 合成数の残り
293823996731712864770458618120875378669709169546409049689172378069092682226620668855969845742319<96>
factorization results 素因数分解の結果
A factor was found for 5*10^160+3 using GMP-ECM using factor method ECM
   Candidate number: 24255674566757459062213646321921265394574823300560150633913719139270253680775406006189303892079743299668723386379135038390497969239
   Factor: 82551714075637674821552052888550681
   Factor Type: probable
   Factor Length: 35
   Co-Factor: 293823996731712864770458618120875378669709169546409049689172378069092682226620668855969845742319
   Co-Factor Type: Composite
   Co-Factor Length: 96
   B1: 1000000
   Sigma: 2567545950
   Finder: j_m_berg@yahoo.com
   Found on machine: Test2B

c96

name 名前Jo Yeong Uk
date 日付July 14, 2007 15:39:05 UTC 2007 年 7 月 15 日 (日) 0 時 39 分 5 秒 (日本時間)
composite number 合成数
293823996731712864770458618120875378669709169546409049689172378069092682226620668855969845742319<96>
prime factors 素因数
1770092901260328461943147499208826822490849<43>
165993545605717346668480035353143215370070055379374031<54>
factorization results 素因数分解の結果
Sat Jul 14 21:15:30 2007  
Sat Jul 14 21:15:30 2007  
Sat Jul 14 21:15:30 2007  Msieve v. 1.21
Sat Jul 14 21:15:30 2007  random seeds: 7cf136d0 06e41b3c
Sat Jul 14 21:15:30 2007  factoring 293823996731712864770458618120875378669709169546409049689172378069092682226620668855969845742319 (96 digits)
Sat Jul 14 21:15:30 2007  commencing quadratic sieve (96-digit input)
Sat Jul 14 21:15:30 2007  using multiplier of 1
Sat Jul 14 21:15:30 2007  using 32kb Intel Core sieve core
Sat Jul 14 21:15:30 2007  sieve interval: 36 blocks of size 32768
Sat Jul 14 21:15:30 2007  processing polynomials in batches of 6
Sat Jul 14 21:15:30 2007  using a sieve bound of 2258261 (83529 primes)
Sat Jul 14 21:15:30 2007  using large prime bound of 338739150 (28 bits)
Sat Jul 14 21:15:30 2007  using double large prime bound of 2258175411908100 (43-52 bits)
Sat Jul 14 21:15:30 2007  using trial factoring cutoff of 52 bits
Sat Jul 14 21:15:30 2007  polynomial 'A' values have 12 factors
Sun Jul 15 00:30:57 2007  83772 relations (20431 full + 63341 combined from 1261659 partial), need 83625
Sun Jul 15 00:30:57 2007  begin with 1282090 relations
Sun Jul 15 00:30:58 2007  reduce to 219241 relations in 10 passes
Sun Jul 15 00:30:58 2007  attempting to read 219241 relations
Sun Jul 15 00:31:00 2007  recovered 219241 relations
Sun Jul 15 00:31:00 2007  recovered 203549 polynomials
Sun Jul 15 00:31:00 2007  attempting to build 83772 cycles
Sun Jul 15 00:31:00 2007  found 83772 cycles in 6 passes
Sun Jul 15 00:31:00 2007  distribution of cycle lengths:
Sun Jul 15 00:31:00 2007     length 1 : 20431
Sun Jul 15 00:31:00 2007     length 2 : 14459
Sun Jul 15 00:31:00 2007     length 3 : 13979
Sun Jul 15 00:31:00 2007     length 4 : 11430
Sun Jul 15 00:31:00 2007     length 5 : 8505
Sun Jul 15 00:31:00 2007     length 6 : 5874
Sun Jul 15 00:31:00 2007     length 7 : 3781
Sun Jul 15 00:31:00 2007     length 9+: 5313
Sun Jul 15 00:31:00 2007  largest cycle: 25 relations
Sun Jul 15 00:31:00 2007  matrix is 83529 x 83772 with weight 5702285 (avg 68.07/col)
Sun Jul 15 00:31:01 2007  filtering completed in 3 passes
Sun Jul 15 00:31:01 2007  matrix is 82006 x 82070 with weight 5508650 (avg 67.12/col)
Sun Jul 15 00:31:02 2007  saving the first 48 matrix rows for later
Sun Jul 15 00:31:02 2007  matrix is 81958 x 82070 with weight 4517163 (avg 55.04/col)
Sun Jul 15 00:31:02 2007  matrix includes 32 packed rows
Sun Jul 15 00:31:02 2007  using block size 32828 for processor cache size 4096 kB
Sun Jul 15 00:31:40 2007  lanczos halted after 1298 iterations
Sun Jul 15 00:31:40 2007  recovered 16 nontrivial dependencies
Sun Jul 15 00:31:40 2007  prp43 factor: 1770092901260328461943147499208826822490849
Sun Jul 15 00:31:40 2007  prp54 factor: 165993545605717346668480035353143215370070055379374031
Sun Jul 15 00:31:40 2007  elapsed time 03:16:10
execution environment 実行環境
Core 2 Quad Q6600

5×10161+3

c152

name 名前JMB
date 日付July 13, 2007 22:34:47 UTC 2007 年 7 月 14 日 (土) 7 時 34 分 47 秒 (日本時間)
composite number 合成数
39076640587607874013697707856538710005687590188402902771701576173390223756618026590637770905318111165438001179490726255417223112916107059247258205234427<152>
prime factors 素因数
26314542158435393005535533221629<32>
composite cofactor 合成数の残り
1484982727509908854740212306941041004792973008825939876458829727780821383869898582890053749715127694042906997885710674263<121>
factorization results 素因数分解の結果
A factor was found for 5*10^161+3 using GMP-ECM using factor method ECM
   Candidate number: 39076640587607874013697707856538710005687590188402902771701576173390223756618026590637770905318111165438001179490726255417223112916107059247258205234427
   Factor: 26314542158435393005535533221629
   Factor Type: probable
   Factor Length: 32
   Co-Factor: 1484982727509908854740212306941041004792973008825939876458829727780821383869898582890053749715127694042906997885710674263
   Co-Factor Type: Composite
   Co-Factor Length: 121
   B1: 1000000
   Sigma: 1129548668
   Finder: j_m_berg@yahoo.com
   Found on machine: Test2B

c121

name 名前Sinkiti Sibata
date 日付July 19, 2007 12:17:47 UTC 2007 年 7 月 19 日 (木) 21 時 17 分 47 秒 (日本時間)
composite number 合成数
1484982727509908854740212306941041004792973008825939876458829727780821383869898582890053749715127694042906997885710674263<121>
prime factors 素因数
11706943567107084998551285511603272813010623152246453284257<59>
126846321501220363453898438705886991913400990993746411945018359<63>
factorization results 素因数分解の結果
Number: 50003_161
N=1484982727509908854740212306941041004792973008825939876458829727780821383869898582890053749715127694042906997885710674263
  ( 121 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=11706943567107084998551285511603272813010623152246453284257 (pp59)
 r2=126846321501220363453898438705886991913400990993746411945018359 (pp63)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 80.52 hours.
Scaled time: 54.99 units (timescale=0.683).
Factorization parameters were as follows:
name: 50003_161
n: 1484982727509908854740212306941041004792973008825939876458829727780821383869898582890053749715127694042906997885710674263
m: 100000000000000000000000000000000
c5: 50
c0: 3
skew: 0.57
type: snfs
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2250000, 4150001)
Primes: RFBsize:315948, AFBsize:315546, largePrimes:5714501 encountered
Relations: rels:5824294, finalFF:708200
Max relations in full relation-set: 0
Initial matrix: 631559 x 708200 with sparse part having weight 36699917.
Pruned matrix : 568992 x 572213 with weight 27259397.
Total sieving time: 67.88 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 12.11 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,48,48,2.3,2.3,100000
total time: 80.52 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

5×10163+3

c145

name 名前Robert Backstrom
date 日付December 18, 2007 02:30:20 UTC 2007 年 12 月 18 日 (火) 11 時 30 分 20 秒 (日本時間)
composite number 合成数
1603063766031098986258777513442487052832641665579047108880335847996162488378285630331639750683924926169543565709805927302627011252569149775992277<145>
prime factors 素因数
1652368488234263596749387089016071429414818510198454291329<58>
970161182233720701578804573039325030395254397715312007695070136323727969873955547645013<87>
factorization results 素因数分解の結果
Number: n
N=1603063766031098986258777513442487052832641665579047108880335847996162488378285630331639750683924926169543565709805927302627011252569149775992277
  ( 145 digits)
SNFS difficulty: 164 digits.
Divisors found:

Tue Dec 18 13:14:30 2007  prp58 factor: 1652368488234263596749387089016071429414818510198454291329
Tue Dec 18 13:14:30 2007  prp87 factor: 970161182233720701578804573039325030395254397715312007695070136323727969873955547645013
Tue Dec 18 13:14:30 2007  elapsed time 01:41:34 (Msieve 1.31)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 65.55 hours.
Scaled time: 85.80 units (timescale=1.309).
Factorization parameters were as follows:
name: KA_5_0_162_3
n: 1603063766031098986258777513442487052832641665579047108880335847996162488378285630331639750683924926169543565709805927302627011252569149775992277
skew: 1.13
deg: 5
c5: 8
c0: 15
m: 500000000000000000000000000000000
type: snfs
rlim: 3200000
alim: 3200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2100001)
Primes: RFBsize:230209, AFBsize:229672, largePrimes:7196433 encountered
Relations: rels:6672971, finalFF:503221
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 65.18 hours.
Total relation processing time: 0.37 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,164,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.5,2.5,100000
total time: 65.55 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

5×10164+3

c145

name 名前Robert Backstrom
date 日付January 9, 2008 05:33:07 UTC 2008 年 1 月 9 日 (水) 14 時 33 分 7 秒 (日本時間)
composite number 合成数
4120809741719225186741054484135263928241671284276174640242932170788013428862000974905621445274870595945310435532020747550508457434928692920215627<145>
prime factors 素因数
1196687247426772242533735797290481529635161715296376005028120547<64>
3443514377361480174374528664126918435300112338137700545497427175846407441531435641<82>
factorization results 素因数分解の結果
Number: n
N=4120809741719225186741054484135263928241671284276174640242932170788013428862000974905621445274870595945310435532020747550508457434928692920215627
  ( 145 digits)
SNFS difficulty: 165 digits.
Divisors found:

Wed Jan  9 16:25:56 2008  prp64 factor: 1196687247426772242533735797290481529635161715296376005028120547
Wed Jan  9 16:25:56 2008  prp82 factor: 3443514377361480174374528664126918435300112338137700545497427175846407441531435641
Wed Jan  9 16:25:56 2008  elapsed time 00:57:08 (Msieve 1.32)

Version: GGNFS-0.77.1-20050930-k8
Total time: 38.58 hours.
Scaled time: 32.37 units (timescale=0.839).
Factorization parameters were as follows:
name: KA_5_0_163_3
n: 4120809741719225186741054484135263928241671284276174640242932170788013428862000974905621445274870595945310435532020747550508457434928692920215627
type: snfs
deg: 5
c5: 1
c0: 6
skew: 1.43
m: 1000000000000000000000000000000000
rlim: 3000000
alim: 3000000
lbpr: 28
lbpa: 28
mbpr: 48
mbpa: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved  special-q in [100000, 3800001)
Primes: RFBsize:216816, AFBsize:216821, largePrimes:5658666 encountered
Relations: rels:5541692, finalFF:429370
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 38.47 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.5,2.5,100000
total time: 38.58 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6045.69 BogoMIPS (lpj=3022848)
Total of 2 processors activated (12009.47 BogoMIPS).

5×10165+3

c104

name 名前Jo Yeong Uk
date 日付July 15, 2007 13:41:44 UTC 2007 年 7 月 15 日 (日) 22 時 41 分 44 秒 (日本時間)
composite number 合成数
60371572942890158021797115986528632028025448079180506843525853489532798120896719516288434944161422136917<104>
prime factors 素因数
90824126989341694860705521906459719377905473<44>
664708541046310574292268644887995665738412289611807142993429<60>
factorization results 素因数分解の結果
Number: 50003_165
N=60371572942890158021797115986528632028025448079180506843525853489532798120896719516288434944161422136917
  ( 104 digits)
Divisors found:
 r1=90824126989341694860705521906459719377905473 (pp44)
 r2=664708541046310574292268644887995665738412289611807142993429 (pp60)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 6.17 hours.
Scaled time: 13.22 units (timescale=2.141).
Factorization parameters were as follows:
name: 50003_165
n: 60371572942890158021797115986528632028025448079180506843525853489532798120896719516288434944161422136917
skew: 7512.98
# norm 2.02e+14
c5: 166500
c4: -1914787896
c3: -27411196426603
c2: 131255323836306125
c1: 909402917800101582079
c0: -10830259771894865408765
# alpha -5.96
Y1: 44183744759
Y0: -51509164741546869936
# Murphy_E 2.11e-09
# M 17593451203521667606384512745223636260136127566053466928071642609603807329680876842845993513292579249217
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, 1680001)
Primes: RFBsize:135072, AFBsize:134796, largePrimes:4380469 encountered
Relations: rels:4317631, finalFF:327814
Max relations in full relation-set: 28
Initial matrix: 269947 x 327814 with sparse part having weight 26520107.
Pruned matrix : 232660 x 234073 with weight 15995712.
Polynomial selection time: 0.39 hours.
Total sieving time: 5.42 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.22 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
gnfs,103,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,49,49,2.6,2.6,60000
total time: 6.17 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

5×10166+3

c162

name 名前Robert Backstrom
date 日付July 20, 2007 02:53:15 UTC 2007 年 7 月 20 日 (金) 11 時 53 分 15 秒 (日本時間)
composite number 合成数
856003150091592337059800380065398640666997654551368749036996456146958620807724572426426529249627638629710157333378986834671551591309856020270154594168906541576073<162>
prime factors 素因数
205212516206615635610167665320053000460472202204809200220862876866413<69>
4171300883176815364229387134807678863679793387097531618573030009987940624111825593896704727821<94>
factorization results 素因数分解の結果
Number: n
N=856003150091592337059800380065398640666997654551368749036996456146958620807724572426426529249627638629710157333378986834671551591309856020270154594168906541576073
  ( 162 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=205212516206615635610167665320053000460472202204809200220862876866413 (pp69)
 r2=4171300883176815364229387134807678863679793387097531618573030009987940624111825593896704727821 (pp94)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 80.81 hours.
Scaled time: 96.49 units (timescale=1.194).
Factorization parameters were as follows:
name: KA_5_0_165_3
n: 856003150091592337059800380065398640666997654551368749036996456146958620807724572426426529249627638629710157333378986834671551591309856020270154594168906541576073
type: snfs
skew: 0.57
deg: 5
c5: 50
c0: 3
m: 1000000000000000000000000000000000
rlim: 4000000
alim: 4000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
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, 3000001)
Primes: RFBsize:283146, AFBsize:283047, largePrimes:7663698 encountered
Relations: rels:7215429, finalFF:636030
Max relations in full relation-set: 28
Initial matrix: 566258 x 636030 with sparse part having weight 42205013.
Pruned matrix : 510577 x 513472 with weight 29645883.
Total sieving time: 71.79 hours.
Total relation processing time: 0.33 hours.
Matrix solve time: 7.83 hours.
Total square root time: 0.87 hours, sqrts: 6.
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: 80.81 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

5×10167+3

c161

name 名前Robert Backstrom
date 日付December 27, 2007 22:08:18 UTC 2007 年 12 月 28 日 (金) 7 時 8 分 18 秒 (日本時間)
composite number 合成数
11094292410356841480689529799258319926065860290596351278048063092974674681508936485819419666883219858321891974475405828661656232743521548965580379379979492866137<161>
prime factors 素因数
66986389608208370945649030468786635518218514529828739674619854324867<68>
165620097981775245286549676152338224696848100622028775546996783901831190108848495803829997811<93>
factorization results 素因数分解の結果
Number: n
N=11094292410356841480689529799258319926065860290596351278048063092974674681508936485819419666883219858321891974475405828661656232743521548965580379379979492866137
  ( 161 digits)
SNFS difficulty: 167 digits.
Divisors found:

Fri Dec 28 08:58:01 2007  prp68 factor: 66986389608208370945649030468786635518218514529828739674619854324867
Fri Dec 28 08:58:01 2007  prp93 factor: 165620097981775245286549676152338224696848100622028775546996783901831190108848495803829997811
Fri Dec 28 08:58:01 2007  elapsed time 01:10:29 (Msieve 1.32)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 46.34 hours.
Scaled time: 84.62 units (timescale=1.826).
Factorization parameters were as follows:
name: KA_5_0_166_3
n: 11094292410356841480689529799258319926065860290596351278048063092974674681508936485819419666883219858321891974475405828661656232743521548965580379379979492866137
skew: 0.36
deg: 5
c5: 500
c0: 3
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  special-q in [100000, 3200000)
Primes: RFBsize:250150, AFBsize:249916, largePrimes:7647488 encountered
Relations: rels:7156043, finalFF:585019
Max relations in full relation-set: 28
Initial matrix: 500132 x 585019 with sparse part having weight 52070590.
Pruned matrix : 452893 x 455457 with weight 34748113.
Total sieving time: 46.16 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 46.34 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

5×10168+3

c97

name 名前Jo Yeong Uk
date 日付July 13, 2007 22:45:25 UTC 2007 年 7 月 14 日 (土) 7 時 45 分 25 秒 (日本時間)
composite number 合成数
2603048285780775881221905377785187247573247246016520013086521779141708972201219207045854783683941<97>
prime factors 素因数
12718944880656352612135685179437522176294183<44>
204659137232336784991399810699824456814839775637627027<54>
factorization results 素因数分解の結果
Sat Jul 14 01:19:05 2007  
Sat Jul 14 01:19:05 2007  
Sat Jul 14 01:19:05 2007  Msieve v. 1.21
Sat Jul 14 01:19:05 2007  random seeds: 2c6b3972 03752bf5
Sat Jul 14 01:19:05 2007  factoring 2603048285780775881221905377785187247573247246016520013086521779141708972201219207045854783683941 (97 digits)
Sat Jul 14 01:19:05 2007  commencing quadratic sieve (97-digit input)
Sat Jul 14 01:19:06 2007  using multiplier of 61
Sat Jul 14 01:19:06 2007  using 32kb Intel Core sieve core
Sat Jul 14 01:19:06 2007  sieve interval: 36 blocks of size 32768
Sat Jul 14 01:19:06 2007  processing polynomials in batches of 6
Sat Jul 14 01:19:06 2007  using a sieve bound of 2361367 (87059 primes)
Sat Jul 14 01:19:06 2007  using large prime bound of 354205050 (28 bits)
Sat Jul 14 01:19:06 2007  using double large prime bound of 2447138225130900 (43-52 bits)
Sat Jul 14 01:19:06 2007  using trial factoring cutoff of 52 bits
Sat Jul 14 01:19:06 2007  polynomial 'A' values have 13 factors
Sat Jul 14 05:43:47 2007  87427 relations (21313 full + 66114 combined from 1303942 partial), need 87155
Sat Jul 14 05:43:48 2007  begin with 1325255 relations
Sat Jul 14 05:43:48 2007  reduce to 228294 relations in 12 passes
Sat Jul 14 05:43:48 2007  attempting to read 228294 relations
Sat Jul 14 05:43:50 2007  recovered 228294 relations
Sat Jul 14 05:43:50 2007  recovered 215876 polynomials
Sat Jul 14 05:43:51 2007  attempting to build 87427 cycles
Sat Jul 14 05:43:51 2007  found 87427 cycles in 6 passes
Sat Jul 14 05:43:51 2007  distribution of cycle lengths:
Sat Jul 14 05:43:51 2007     length 1 : 21313
Sat Jul 14 05:43:51 2007     length 2 : 15209
Sat Jul 14 05:43:51 2007     length 3 : 14610
Sat Jul 14 05:43:51 2007     length 4 : 12030
Sat Jul 14 05:43:51 2007     length 5 : 8885
Sat Jul 14 05:43:51 2007     length 6 : 6060
Sat Jul 14 05:43:51 2007     length 7 : 3877
Sat Jul 14 05:43:51 2007     length 9+: 5443
Sat Jul 14 05:43:51 2007  largest cycle: 25 relations
Sat Jul 14 05:43:51 2007  matrix is 87059 x 87427 with weight 5727486 (avg 65.51/col)
Sat Jul 14 05:43:51 2007  filtering completed in 3 passes
Sat Jul 14 05:43:51 2007  matrix is 85635 x 85699 with weight 5541486 (avg 64.66/col)
Sat Jul 14 05:43:53 2007  saving the first 48 matrix rows for later
Sat Jul 14 05:43:53 2007  matrix is 85587 x 85699 with weight 4247055 (avg 49.56/col)
Sat Jul 14 05:43:53 2007  matrix includes 32 packed rows
Sat Jul 14 05:43:53 2007  using block size 34279 for processor cache size 4096 kB
Sat Jul 14 05:44:30 2007  lanczos halted after 1355 iterations
Sat Jul 14 05:44:30 2007  recovered 14 nontrivial dependencies
Sat Jul 14 05:44:30 2007  prp44 factor: 12718944880656352612135685179437522176294183
Sat Jul 14 05:44:30 2007  prp54 factor: 204659137232336784991399810699824456814839775637627027
Sat Jul 14 05:44:30 2007  elapsed time 04:25:25
execution environment 実行環境
Core 2 Quad Q6600

5×10169+3

c139

name 名前matsui
date 日付April 23, 2009 06:30:04 UTC 2009 年 4 月 23 日 (木) 15 時 30 分 4 秒 (日本時間)
composite number 合成数
3388956022941703290284911268189108916185410146351262338185883006343651520714919578492806480155277094510806544535131569600239126927479442053<139>
prime factors 素因数
219470599991522042446043080605252718567618567796903842516245509<63>
15441503431769976028446348762595181204879730780351588237227771804855548607617<77>
factorization results 素因数分解の結果
N=3388956022941703290284911268189108916185410146351262338185883006343651520714919578492806480155277094510806544535131569600239126927479442053
  ( 139 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=219470599991522042446043080605252718567618567796903842516245509 (pp63)
 r2=15441503431769976028446348762595181204879730780351588237227771804855548607617 (pp77)
Version: GGNFS-0.77.1-20060722-nocona

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 13, 2007 09:00:00 UTC 2007 年 7 月 13 日 (金) 18 時 0 分 0 秒 (日本時間)

5×10171+3

c131

name 名前Markus Tervooren
date 日付September 30, 2009 08:36:14 UTC 2009 年 9 月 30 日 (水) 17 時 36 分 14 秒 (日本時間)
composite number 合成数
14342003774157313216888357848440703925791970886954343965424053505716746519075757175850873535193063392798657509444707017884806399031<131>
prime factors 素因数
147260649364933694278877144916097788377722854278739967<54>
97391963406433881857367240605552004713811188886749910103549282496731302376393<77>
factorization results 素因数分解の結果
N=14342003774157313216888357848440703925791970886954343965424053505716746519075757175850873535193063392798657509444707017884806399031
  ( 131 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=147260649364933694278877144916097788377722854278739967 (pp54)
 r2=97391963406433881857367240605552004713811188886749910103549282496731302376393 (pp77)
Version: Msieve-1.42
Total time: 30.58 hours.
Scaled time: 64.74 units (timescale=2.117).
Factorization parameters were as follows:
n: 14342003774157313216888357848440703925791970886954343965424053505716746519075757175850873535193063392798657509444707017884806399031
m: 10000000000000000000000000000000000
deg: 5
c5: 50
c0: 3
skew: 0.57
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5

Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved rational special-q in [2550000, 4950001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 957853 x 958079
Total sieving time: 29.27 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 1.08 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5100000,5100000,28,28,56,56,2.5,2.5,200000
total time: 30.58 hours.
 --------- CPU info (if available) ----------
[    0.148007] CPU0: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.240015] CPU1: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.335125] CPU2: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.432094] CPU3: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.004000] Memory: 8197992k/10485760k available (2226k kernel code, 189844k reserved, 1082k data, 392k init)
[    0.083917] Calibrating delay using timer specific routine.. 5503.93 BogoMIPS (lpj=11007873)
[    0.160010] Calibrating delay using timer specific routine.. 5499.97 BogoMIPS (lpj=10999957)
[    0.252015] Calibrating delay using timer specific routine.. 5500.01 BogoMIPS (lpj=11000021)
[    0.351657] Calibrating delay using timer specific routine.. 5499.99 BogoMIPS (lpj=10999983)
[    0.436823] Total of 4 processors activated (22003.91 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 13, 2007 09:00:00 UTC 2007 年 7 月 13 日 (金) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiAugust 3, 2009 01:36:41 UTC 2009 年 8 月 3 日 (月) 10 時 36 分 41 秒 (日本時間)

5×10172+3

c111

name 名前JMB
date 日付July 14, 2007 14:25:33 UTC 2007 年 7 月 14 日 (土) 23 時 25 分 33 秒 (日本時間)
composite number 合成数
809492216591602463252263499068074274230030766037604161645697563599902627803865062047934101298749001556792544817<111>
prime factors 素因数
199380097814707075827853407010411667<36>
4060045237533688631179618384328067264911276818684333348445532508588775649451<76>
factorization results 素因数分解の結果
A factor was found for 5*10^172+3 using GMP-ECM using factor method ECM
   Candidate number: 809492216591602463252263499068074274230030766037604161645697563599902627803865062047934101298749001556792544817
   Factor: 199380097814707075827853407010411667
   Factor Type: probable
   Factor Length: 36
   Co-Factor: 4060045237533688631179618384328067264911276818684333348445532508588775649451
   Co-Factor Type: Probable
   Co-Factor Length: 76
   B1: 1000000
   Sigma: 3089909484
   Finder: j_m_berg@yahoo.com
   Found on machine: Test2A

5×10173+3

c160

name 名前suberi
date 日付July 15, 2007 04:41:38 UTC 2007 年 7 月 15 日 (日) 13 時 41 分 38 秒 (日本時間)
composite number 合成数
1349838663013462474192021118962642972919624669950863612187636526873623699303947613140058346049689466798979206246912015531666562425061299555914129399225992467559<160>
prime factors 素因数
59249254073379949902901368057587<32>
22782373957682117221393919745453826568924577598689253992144435924521117243880060681895434415464594199441242777852408944634407357<128>
factorization results 素因数分解の結果
Input number is 1349838663013462474192021118962642972919624669950863612187636526873623699303947613140058346049689466798979206246912015531666562425061299555914129399225992467559 (160 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2699943498
Step 1 took 23978ms
Step 2 took 12527ms
********** Factor found in step 2: 59249254073379949902901368057587
Found probable prime factor of 32 digits: 59249254073379949902901368057587
Probable prime cofactor 22782373957682117221393919745453826568924577598689253992144435924521117243880060681895434415464594199441242777852408944634407357 has 128 digits
software ソフトウェア
GMP-ECM 6.1.2
execution environment 実行環境
Sempron 3400+ 1.80GHz, Windows Vista

5×10174+3

c155

name 名前Wataru Sakai
date 日付February 25, 2010 12:14:40 UTC 2010 年 2 月 25 日 (木) 21 時 14 分 40 秒 (日本時間)
composite number 合成数
43691299823166622677419713765955366740192160053158913276378951487613075749335919745960807708172852610403720149520728363974918064390555131663772617267686661<155>
prime factors 素因数
247625824575833330688018021306592807497411725702106465009811<60>
176440804984726174091559159344056990761822509286650165941609797204052222532610996092081714713351<96>
factorization results 素因数分解の結果
Number: 50003_174
N=43691299823166622677419713765955366740192160053158913276378951487613075749335919745960807708172852610403720149520728363974918064390555131663772617267686661
  ( 155 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=247625824575833330688018021306592807497411725702106465009811
 r2=176440804984726174091559159344056990761822509286650165941609797204052222532610996092081714713351
Version: 
Total time: 86.59 hours.
Scaled time: 174.04 units (timescale=2.010).
Factorization parameters were as follows:
n: 43691299823166622677419713765955366740192160053158913276378951487613075749335919745960807708172852610403720149520728363974918064390555131663772617267686661
m: 50000000000000000000000000000000000
deg: 5
c5: 16
c0: 3
skew: 0.72
type: snfs
lss: 1
rlim: 5700000
alim: 5700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 5700000/5700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2850000, 5750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 725417 x 725665
Total sieving time: 86.59 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,5700000,5700000,27,27,52,52,2.4,2.4,100000
total time: 86.59 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 13, 2007 09:00:00 UTC 2007 年 7 月 13 日 (金) 18 時 0 分 0 秒 (日本時間)
351e61000Lionel DebrouxSeptember 25, 2009 10:47:56 UTC 2009 年 9 月 25 日 (金) 19 時 47 分 56 秒 (日本時間)
403e62336Wataru SakaiSeptember 27, 2009 08:43:44 UTC 2009 年 9 月 27 日 (日) 17 時 43 分 44 秒 (日本時間)
4511e60--
5043e61130 / 7459yoyo@homeJanuary 29, 2010 10:30:10 UTC 2010 年 1 月 29 日 (金) 19 時 30 分 10 秒 (日本時間)

5×10177+3

c178

name 名前Jo Yeong Uk
date 日付July 14, 2007 00:58:11 UTC 2007 年 7 月 14 日 (土) 9 時 58 分 11 秒 (日本時間)
composite number 合成数
5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003<178>
prime factors 素因数
176218992155079534631185354899<30>
composite cofactor 合成数の残り
28373786155806670640998399527341074498848269897625772403660234914777229704006772677455191720133985486886631783071384944023777763803864984794834905297<149>
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 5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003 (178 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3025299345
Step 1 took 10055ms
Step 2 took 5168ms
********** Factor found in step 2: 176218992155079534631185354899
Found probable prime factor of 30 digits: 176218992155079534631185354899
Composite cofactor 28373786155806670640998399527341074498848269897625772403660234914777229704006772677455191720133985486886631783071384944023777763803864984794834905297 has 149 digits
execution environment 実行環境
Core 2 Quad Q6600

c149

name 名前Serge Batalov
date 日付October 18, 2010 17:19:09 UTC 2010 年 10 月 19 日 (火) 2 時 19 分 9 秒 (日本時間)
composite number 合成数
28373786155806670640998399527341074498848269897625772403660234914777229704006772677455191720133985486886631783071384944023777763803864984794834905297<149>
prime factors 素因数
5025246186222864782538544032838260174977753632718898331835688721<64>
5646247985540647264030815556578582247146679308667203035114340476157533562848981624257<85>
factorization results 素因数分解の結果
SNFS difficulty: 177 digits.
Divisors found:
 r1=5025246186222864782538544032838260174977753632718898331835688721 (pp64)
 r2=5646247985540647264030815556578582247146679308667203035114340476157533562848981624257 (pp85)
Version: Msieve v. 1.46
Total time: 31.44 hours.
Scaled time: 94.31 units (timescale=3.000).
Factorization parameters were as follows:
n: 28373786155806670640998399527341074498848269897625772403660234914777229704006772677455191720133985486886631783071384944023777763803864984794834905297
m: 100000000000000000000000000000000000
deg: 5
c5: 500
c0: 3
skew: 0.36
type: snfs
lss: 1
rlim: 6400000
alim: 6400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [3200000, 6700001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1299232 x 1299464
Total sieving time: 29.56 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 1.69 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,177.000,5,0,0,0,0,0,0,0,0,6400000,6400000,28,28,55,55,2.5,2.5,100000
total time: 31.44 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 13, 2007 09:00:00 UTC 2007 年 7 月 13 日 (金) 18 時 0 分 0 秒 (日本時間)

5×10178+3

c174

name 名前JMB
date 日付July 14, 2007 14:24:18 UTC 2007 年 7 月 14 日 (土) 23 時 24 分 18 秒 (日本時間)
composite number 合成数
141006731661369513780587885265642581776854027011249517051944059809415301486492965174157414274957486470404097091595152752592408761594278510856108270608838865967461286601822371<174>
prime factors 素因数
1266095772152669053113048638910331<34>
composite cofactor 合成数の残り
111371299677925599229304910106423605557497863192994526047063490147240879819809490792264436773201047749707743497289808646191385677866285614841<141>
factorization results 素因数分解の結果
A factor was found for 5*10^178+3 using GMP-ECM using factor method ECM
   Candidate number: 141006731661369513780587885265642581776854027011249517051944059809415301486492965174157414274957486470404097091595152752592408761594278510856108270608838865967461286601822371
   Factor: 1266095772152669053113048638910331
   Factor Type: probable
   Factor Length: 34
   Co-Factor: 111371299677925599229304910106423605557497863192994526047063490147240879819809490792264436773201047749707743497289808646191385677866285614841
   Co-Factor Type: Composite
   Co-Factor Length: 141
   B1: 1000000
   Sigma: 1453825301
   Finder: j_m_berg@yahoo.com
   Found on machine: MainBox

c141

name 名前Andreas Tete
date 日付July 21, 2013 21:36:34 UTC 2013 年 7 月 22 日 (月) 6 時 36 分 34 秒 (日本時間)
composite number 合成数
111371299677925599229304910106423605557497863192994526047063490147240879819809490792264436773201047749707743497289808646191385677866285614841<141>
prime factors 素因数
2483588918013363077203791605530130852970240187791846376794145978507891<70>
44842887995736482930697673402991298662157313456185424557641058335316451<71>
factorization results 素因数分解の結果
Number: 50003_178
N = 111371299677925599229304910106423605557497863192994526047063490147240879819809490792264436773201047749707743497289808646191385677866285614841 (141 digits)
SNFS difficulty: 180 digits.
Divisors found:
r1=2483588918013363077203791605530130852970240187791846376794145978507891 (pp70)
r2=44842887995736482930697673402991298662157313456185424557641058335316451 (pp71)
Version: Msieve v. 1.48
Total time: 99.40 hours.
Factorization parameters were as follows:
n: 111371299677925599229304910106423605557497863192994526047063490147240879819809490792264436773201047749707743497289808646191385677866285614841
m: 500000000000000000000000000000000000
deg: 5
c5: 8
c0: 15
skew: 1.13
# Murphy_E = 1.471e-10
type: snfs
lss: 1
rlim: 6800000
alim: 6800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 18002609
Relations: 2233652 relations
Pruned matrix : 1306241 x 1306473
Polynomial selection time: 0.00 hours.
Total sieving time: 92.42 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 5.82 hours.
time per square root: 0.88 hours.
Prototype def-par.txt line would be: snfs,180,5,0,0,0,0,0,0,0,0,6800000,6800000,28,28,53,53,2.5,2.5,100000
total time: 99.40 hours.
Intel64 Family 6 Model 37 Stepping 2, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.33GHz
software ソフトウェア
factmsieve.py via Msieve v1.48
execution environment 実行環境
Core i3 @2.1GHz Win Home Premium 64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 13, 2007 09:00:00 UTC 2007 年 7 月 13 日 (金) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336300Dmitry DomanovApril 1, 2011 14:54:43 UTC 2011 年 4 月 1 日 (金) 23 時 54 分 43 秒 (日本時間)
2036Wataru SakaiMarch 21, 2012 12:40:12 UTC 2012 年 3 月 21 日 (水) 21 時 40 分 12 秒 (日本時間)

5×10179+3

c124

name 名前JMB
date 日付July 14, 2007 14:27:00 UTC 2007 年 7 月 14 日 (土) 23 時 27 分 0 秒 (日本時間)
composite number 合成数
2265587257324762180596545014590660928296692328374985637694396052276776990382118354742003455385747476021634738206790868510673<124>
prime factors 素因数
58420054131152676580667221137068677907<38>
38780985245897447564182837100518071852832635692767107596372080155550102208945138108939<86>
factorization results 素因数分解の結果
A factor was found for 5*10^179+3 using GMP-ECM using factor method ECM
   Candidate number: 2265587257324762180596545014590660928296692328374985637694396052276776990382118354742003455385747476021634738206790868510673
   Factor: 58420054131152676580667221137068677907
   Factor Type: probable
   Factor Length: 38
   Co-Factor: 38780985245897447564182837100518071852832635692767107596372080155550102208945138108939
   Co-Factor Type: Probable
   Co-Factor Length: 86
   B1: 1000000
   Sigma: 557507828
   Finder: j_m_berg@yahoo.com
   Found on machine: RaidBox

5×10180+3

c150

name 名前JMB
date 日付July 15, 2007 22:48:16 UTC 2007 年 7 月 16 日 (月) 7 時 48 分 16 秒 (日本時間)
composite number 合成数
799863091535185148103676650024971901755570716691827032927143891926392424253980215572685185919368858352997768021906669228829107992849271525271210853383<150>
prime factors 素因数
28365504652386968928074018263317721<35>
28198443896462682489337688478809235310463625892214771261649188513799597672988910349570886709139480460830651399289823<116>
factorization results 素因数分解の結果
A factor was found for 5*10^180+3 using GMP-ECM using factor method ECM
   Candidate number: 799863091535185148103676650024971901755570716691827032927143891926392424253980215572685185919368858352997768021906669228829107992849271525271210853383
   Factor: 28365504652386968928074018263317721
   Factor Type: probable
   Factor Length: 35
   Co-Factor: 28198443896462682489337688478809235310463625892214771261649188513799597672988910349570886709139480460830651399289823
   Co-Factor Type: Probable
   Co-Factor Length: 116
   B1: 1000000
   Sigma: 1565609571
   Finder: j_m_berg@yahoo.com
   Found on machine: Test2B

5×10182+3

c138

name 名前Dmitry Domanov
date 日付February 20, 2014 05:52:49 UTC 2014 年 2 月 20 日 (木) 14 時 52 分 49 秒 (日本時間)
composite number 合成数
344137956109328156234359179916101627084221416585608027603674755253493544013700093827271881824770271572632587518940435222038574478095373209<138>
prime factors 素因数
4279158799171957694024328911384178290437170971073603364995092311<64>
80421870806926087339456474828653480091728973461916285528358822058404466319<74>
factorization results 素因数分解の結果
N=344137956109328156234359179916101627084221416585608027603674755253493544013700093827271881824770271572632587518940435222038574478095373209
  ( 138 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=4279158799171957694024328911384178290437170971073603364995092311 (pp64)
 r2=80421870806926087339456474828653480091728973461916285528358822058404466319 (pp74)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 110.62 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 344137956109328156234359179916101627084221416585608027603674755253493544013700093827271881824770271572632587518940435222038574478095373209
m: 1000000000000000000000000000000000000
deg: 5
c5: 500
c0: 3
skew: 0.36
# Murphy_E = 9.655e-11
type: snfs
lss: 1
rlim: 7800000
alim: 7800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 7800000/7800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3900000, 9300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1496118 x 1496346
Total sieving time: 107.59 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 2.10 hours.
Time per square root: 0.72 hours.
Prototype def-par.txt line would be:
snfs,182.000,5,0,0,0,0,0,0,0,0,7800000,7800000,28,28,53,53,2.5,2.5,100000
total time: 110.62 hours.
 --------- CPU info (if available) ----------
[    0.074309] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000)
[    0.707507] Total of 16 processors activated (76799.07 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 13, 2007 09:00:00 UTC 2007 年 7 月 13 日 (金) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61800300Dmitry DomanovApril 1, 2011 14:54:56 UTC 2011 年 4 月 1 日 (金) 23 時 54 分 56 秒 (日本時間)
1500Dmitry DomanovOctober 13, 2013 14:17:12 UTC 2013 年 10 月 13 日 (日) 23 時 17 分 12 秒 (日本時間)
4511e62160 / 4081230Ignacio SantosOctober 1, 2013 17:57:36 UTC 2013 年 10 月 2 日 (水) 2 時 57 分 36 秒 (日本時間)
230Ignacio SantosOctober 13, 2013 14:48:54 UTC 2013 年 10 月 13 日 (日) 23 時 48 分 54 秒 (日本時間)
850Serge BatalovNovember 8, 2013 01:44:58 UTC 2013 年 11 月 8 日 (金) 10 時 44 分 58 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:06:01 UTC 2013 年 11 月 9 日 (土) 2 時 6 分 1 秒 (日本時間)

5×10184+3

c171

name 名前Cyp
date 日付December 29, 2013 11:45:40 UTC 2013 年 12 月 29 日 (日) 20 時 45 分 40 秒 (日本時間)
composite number 合成数
236775234410313783059816275856166824723594303413061163494337763868583633052680624207774178885519022968939697845523734434506250023251149816132015434062982894850965940300503<171>
prime factors 素因数
1417051339821693683443908146967478536085563199783794038033753580109<67>
167090088944912187410664550884662405683335874733212344807291369541357525365465340034574317720721862994867<105>
factorization results 素因数分解の結果
12/28/13 17:52:08 v1.34.3, 
12/28/13 17:52:08 v1.34.3, ****************************
12/28/13 17:52:08 v1.34.3, Starting factorization of 236775234410313783059816275856166824723594303413061163494337763868583633052680624207774178885519022968939697845523734434506250023251149816132015434062982894850965940300503
12/28/13 17:52:08 v1.34.3, using pretesting plan: normal
12/28/13 17:52:08 v1.34.3, using tune info for qs/gnfs crossover
12/28/13 17:52:08 v1.34.3, ****************************
12/28/13 17:52:08 v1.34.3, nfs: commencing nfs on c171: 236775234410313783059816275856166824723594303413061163494337763868583633052680624207774178885519022968939697845523734434506250023251149816132015434062982894850965940300503
12/28/13 17:52:08 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/28/13 17:52:08 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/28/13 17:57:38 v1.34.3, nfs: commencing lattice sieving with 8 threads
[135 lines omitted]
12/29/13 11:15:39 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/29/13 11:21:43 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/29/13 11:27:57 v1.34.3, nfs: commencing msieve filtering
12/29/13 11:32:03 v1.34.3, nfs: commencing msieve linear algebra
12/29/13 12:28:29 v1.34.3, nfs: commencing msieve sqrt
12/29/13 12:36:50 v1.34.3, prp105 = 167090088944912187410664550884662405683335874733212344807291369541357525365465340034574317720721862994867
12/29/13 12:36:50 v1.34.3, prp67 = 1417051339821693683443908146967478536085563199783794038033753580109
12/29/13 12:36:50 v1.34.3, NFS elapsed time = 67481.9382 seconds.
12/29/13 12:36:50 v1.34.3, 
12/29/13 12:36:50 v1.34.3, 
12/29/13 12:36:50 v1.34.3, Total factoring time = 67481.9928 seconds
software ソフトウェア
yafu 1.34.3
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 13, 2007 09:00:00 UTC 2007 年 7 月 13 日 (金) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61800300Dmitry DomanovApril 1, 2011 14:55:06 UTC 2011 年 4 月 1 日 (金) 23 時 55 分 6 秒 (日本時間)
1500Dmitry DomanovOctober 13, 2013 14:17:20 UTC 2013 年 10 月 13 日 (日) 23 時 17 分 20 秒 (日本時間)
4511e61000 / 4081Dmitry DomanovNovember 7, 2013 13:14:04 UTC 2013 年 11 月 7 日 (木) 22 時 14 分 4 秒 (日本時間)

5×10185+3

c165

name 名前suberi
date 日付July 20, 2007 07:43:07 UTC 2007 年 7 月 20 日 (金) 16 時 43 分 7 秒 (日本時間)
composite number 合成数
141232265013834324728660039665035379899951151114273245595806167433475191339468298029916380774953830992841500086191919280462651070708513243378325271602806645345908631<165>
prime factors 素因数
18507977608619856746602644452748137837<38>
7630885880694883788242610766381704283225279287936847958869670360168616422552526506424965632629458726936822609309848264083247763<127>
factorization results 素因数分解の結果
Input number is 141232265013834324728660039665035379899951151114273245595806167433475191339468298029916380774953830992841500086191919280462651070708513243378325271602806645345908631 (165 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3614596123
Step 1 took 78983ms
Step 2 took 31278ms
********** Factor found in step 2: 18507977608619856746602644452748137837
Found probable prime factor of 38 digits: 18507977608619856746602644452748137837
Probable prime cofactor 7630885880694883788242610766381704283225279287936847958869670360168616422552526506424965632629458726936822609309848264083247763 has 127 digits
software ソフトウェア
GMP-ECM 6.1.2
execution environment 実行環境
Sempron 3400+ 1.80GHz, Windows Vista

5×10187+3

c169

name 名前JMB
date 日付July 13, 2007 19:57:15 UTC 2007 年 7 月 14 日 (土) 4 時 57 分 15 秒 (日本時間)
composite number 合成数
1290380899025424595652096567583045839103247274536236907155088746451512812909486278405758386268415377557303428736271189331738326726758159462295304550475177876740085927893<169>
prime factors 素因数
7538781648531214385240912695837561<34>
171165708092478089670945899225361876860032835861904429144861641040302889862809476562441735553451758084446668158294751605231000217623613<135>
factorization results 素因数分解の結果
A factor was found for 5*10^187+3 using GMP-ECM using factor method ECM
   Candidate number: 1290380899025424595652096567583045839103247274536236907155088746451512812909486278405758386268415377557303428736271189331738326726758159462295304550475177876740085927893
   Factor: 7538781648531214385240912695837561
   Factor Type: probable
   Factor Length: 34
   Co-Factor: 171165708092478089670945899225361876860032835861904429144861641040302889862809476562441735553451758084446668158294751605231000217623613
   Co-Factor Type: Probable
   Co-Factor Length: 135
   B1: 1000000
   Sigma: 2383272046
   Finder: j_m_berg@yahoo.com
   Found on machine: Test2B

5×10188+3

c174

name 名前suberi
date 日付July 4, 2008 09:39:23 UTC 2008 年 7 月 4 日 (金) 18 時 39 分 23 秒 (日本時間)
composite number 合成数
120049521791121847137031654912674867948310872251120280369800005535171731937474641337831706352613641543486724709756756257012424963836058919722353608143988612862719828132085929<174>
prime factors 素因数
534714061843976765275098162965857648543309727<45>
224511622860875644540507133498734394246496745568262356156954776102962010083439706705021118582845752441312785525001232938868447927<129>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2524047625
Step 1 took 125250ms
Step 2 took 53203ms
********** Factor found in step 2: 534714061843976765275098162965857648543309727
Found probable prime factor of 45 digits: 534714061843976765275098162965857648543309727
Probable prime cofactor 224511622860875644540507133498734394246496745568262356156954776102962010083439706705021118582845752441312785525001232938868447927 has 129 digits
software ソフトウェア
GMP-ECM 6.2.1
execution environment 実行環境
Pentium 4 2.24GHz, Windows XP

5×10190+3

c161

name 名前Kenji Ibusuki
date 日付June 19, 2018 11:46:21 UTC 2018 年 6 月 19 日 (火) 20 時 46 分 21 秒 (日本時間)
composite number 合成数
27463833498036978931279122698566196103643363675090766798128022755411351207988997570033945512205280674454048735810379350567552531540854521806185942636303194251583<161>
prime factors 素因数
7690512736219330149183244795714001712901911930739153169533236562261198013749<76>
3571131657931334331775305289174372073438877589241183526988134843599020768035829669667<85>
factorization results 素因数分解の結果
Number: 50003_190
N=27463833498036978931279122698566196103643363675090766798128022755411351207988997570033945512205280674454048735810379350567552531540854521806185942636303194251583
  ( 161 digits)
SNFS difficulty: 190 digits.
Divisors found: (Total dependency: 1)
 r1=7690512736219330149183244795714001712901911930739153169533236562261198013749 (pp76)
 r2=3571131657931334331775305289174372073438877589241183526988134843599020768035829669667 (pp85)
Msieve version: Msieve v. 1.49 (SVN unknown)
GGNFS version: GGNFS-0.77.1-VC8(UTE)
Total time: 300.61 hours (13.13 calendar hours).
Scaled time: 1357.27 units (timescale=4.515).
Factorization parameters were as follows:
n: 27463833498036978931279122698566196103643363675090766798128022755411351207988997570033945512205280674454048735810379350567552531540854521806185942636303194251583
m: 100000000000000000000000000000000000000
deg: 5
c5: 5
c0: 3
skew: 0.90
# Murphy_E = 5.138e-11
type: snfs
lss: 1
rlim: 10600000
alim: 10600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
relslim: 30000000
qintsize: 5000

Polynomial score was as follows:
skew 0.90, size 4.887e-013, alpha 1.075, combined = 5.138e-011 rroots = 1
Factor base limits: 10600000/10600000
Large primes per side: 3
Large prime bits: 28/28
Sieved special-q in [5300000, 21290001)
Relations: raw-rels:30226130 rels:26357501, finalFF:1464593
Pruned matrix : 1464169 x 1464394
Total sieving time: 291.92 hours (11.75 calendar hours).
Total relation processing time: 0.12 hours.
Total matrix build processing time: 0.02 hours.
Matrix pruned processing time: (N/A)
Matrix solve time: 8.52 hours (1.22 calendar hours).
Total time of square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,10600000,10600000,28,28,54,54,2.5,2.5,100000
total time: 300.61 hours (13.13 calendar 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
(without procrels.exe, matbuild.exe for "finalFF" calculation)
execution environment 実行環境
[Envilonment]
  PC #1   (Master) --- Intel Core i7 2600, 16GB RAM, Windows 7 64bit
  PC #2,3 (Slave)  --- Intel Core i7 4770, 16GB RAM, Windows 7 64bit
  PC #4   (Slave)  --- Intel Core 2 Quad Q6600, 4GB RAM, Windows Vista 32bit

[Threads used]
  (Sieving)
    PC #1   --- 7 threads used
    PC #2,3 --- 7 threads used x 2
    PC #4   --- 4 threads used
  (Relation processing and Matrix build processing)
    PC #1   --- 1 thread used
  (Matrix solve)
    PC #1   --- 7 threads used
  (Square root processing)
    PC #1   --- 1 thread used

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 13, 2007 09:00:00 UTC 2007 年 7 月 13 日 (金) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61800300Dmitry DomanovApril 1, 2011 14:55:19 UTC 2011 年 4 月 1 日 (金) 23 時 55 分 19 秒 (日本時間)
1500Dmitry DomanovOctober 13, 2013 14:17:28 UTC 2013 年 10 月 13 日 (日) 23 時 17 分 28 秒 (日本時間)
4511e61500 / 4081Dmitry DomanovNovember 7, 2013 13:14:20 UTC 2013 年 11 月 7 日 (木) 22 時 14 分 20 秒 (日本時間)

5×10193+3

c164

name 名前Eric Jeancolas
date 日付February 1, 2021 08:46:18 UTC 2021 年 2 月 1 日 (月) 17 時 46 分 18 秒 (日本時間)
composite number 合成数
55754960965977667099262303619967816906897335637724058560887675987960359641171796316619144498801780827605775396781796574777058291468658191359929597537624685917709543<164>
prime factors 素因数
73189390727843146319764313207629777172003399548369450725232984416930023836081<77>
761790204994383577463508393222905721242284692573480050006130961452190579095393722017303<87>
factorization results 素因数分解の結果
55754960965977667099262303619967816906897335637724058560887675987960359641171796316619144498801780827605775396781796574777058291468658191359929597537624685917709543=73189390727843146319764313207629777172003399548369450725232984416930023836081*761790204994383577463508393222905721242284692573480050006130961452190579095393722017303

cado polynomial
n: 55754960965977667099262303619967816906897335637724058560887675987960359641171796316619144498801780827605775396781796574777058291468658191359929597537624685917709543
skew: 1.13
type: snfs
c0: 15
c5: 8
Y0: 500000000000000000000000000000000000000
Y1: -1
# f(x) = 8*x^5+15
# g(x) = -x+500000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 12200000
tasks.lim1 = 12200000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.sqrt.threads = 2
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 73189390727843146319764313207629777172003399548369450725232984416930023836081 761790204994383577463508393222905721242284692573480050006130961452190579095393722017303
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 5.13/2.18149
Info:Generate Free Relations: Total cpu/real time for freerel: 102.25/26.549
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 27155164
Info:Lattice Sieving: Average J: 1894.21 for 2217206 special-q, max bucket fill -bkmult 1.0,1s:1.108900
Info:Lattice Sieving: Total time: 589832s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 50.3/135.427
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 134.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 462.29/453
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 393.70000000000005s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 396.19/449.268
Info:Filtering - Merging: Merged matrix has 2181739 rows and total weight 375592845 (172.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 320.94/92.0524
Info:Filtering - Merging: Total cpu/real time for replay: 83.98/72.7023
Info:Linear Algebra: Total cpu/real time for bwc: 83689.5/21440.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 13821.02, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (68608 iterations)
Info:Linear Algebra: Lingen CPU time 435.18, WCT time 126.41
Info:Linear Algebra: Mksol: WCT time 7286.83, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (34304 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 76.55/31.2829
Info:Square Root: Total cpu/real time for sqrt: 532.59/171.466
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.15835e+06/74110.5
Info:root: Cleaning up computation data in /tmp/cado.qf6her5h
73189390727843146319764313207629777172003399548369450725232984416930023836081 761790204994383577463508393222905721242284692573480050006130961452190579095393722017303
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
6 x Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 13, 2007 09:00:00 UTC 2007 年 7 月 13 日 (金) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61800300Dmitry DomanovApril 1, 2011 14:55:28 UTC 2011 年 4 月 1 日 (金) 23 時 55 分 28 秒 (日本時間)
1500Dmitry DomanovOctober 13, 2013 14:17:36 UTC 2013 年 10 月 13 日 (日) 23 時 17 分 36 秒 (日本時間)
4511e61500 / 4081Dmitry DomanovNovember 7, 2013 13:14:33 UTC 2013 年 11 月 7 日 (木) 22 時 14 分 33 秒 (日本時間)

5×10194+3

c174

name 名前matsui
date 日付November 13, 2011 07:14:14 UTC 2011 年 11 月 13 日 (日) 16 時 14 分 14 秒 (日本時間)
composite number 合成数
107380836487521405694796605699185745338872547707350981368154986200059602157936951155326031927046701272155542149104933319842923629084717875609048751712582358392809014192270547<174>
prime factors 素因数
251377856237628403616495573717000177946692552651717<51>
427169035867717439785759694705331232401758225061288821171787707174800802175716471765814171496267634978316738059810277207991<123>
factorization results 素因数分解の結果
N=107380836487521405694796605699185745338872547707350981368154986200059602157936951155326031927046701272155542149104933319842923629084717875609048751712582358392809014192270547
  ( 174 digits)
SNFS difficulty: 194 digits.
Divisors found:
 r1=251377856237628403616495573717000177946692552651717 (pp51)
 r2=427169035867717439785759694705331232401758225061288821171787707174800802175716471765814171496267634978316738059810277207991 (pp123)
Version: Msieve v. 1.50
Total time:
Scaled time: 44.07 units (timescale=1.258).
Factorization parameters were as follows:
n: 107380836487521405694796605699185745338872547707350981368154986200059602157936951155326031927046701272155542149104933319842923629084717875609048751712582358392809014192270547
m: 500000000000000000000000000000000000000
deg: 5
c5: 16
c0: 3
skew: 0.72
type: snfs
lss: 1
rlim: 12300000
alim: 12300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 160000
Factor base limits: 12300000/12300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6150000, 17830001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2409895 x 2410106
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,194.000,5,0,0,0,0,0,0,0,0,12300000,12300000,28,28,55,55,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 13, 2007 09:00:00 UTC 2007 年 7 月 13 日 (金) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovApril 1, 2011 14:55:40 UTC 2011 年 4 月 1 日 (金) 23 時 55 分 40 秒 (日本時間)

5×10195+3

c164

name 名前Dmitry Domanov
date 日付November 8, 2013 07:01:01 UTC 2013 年 11 月 8 日 (金) 16 時 1 分 1 秒 (日本時間)
composite number 合成数
38452993426727927713660275047955049821820459632124227232403097193742746056235770847115386577975738570378773854145939115603126436028686901046880193882572448395338143<164>
prime factors 素因数
323707528193436770166251195214425203715555477<45>
composite cofactor 合成数の残り
118789308488833498951862118658991523590214425303647808168898419546873925010968041419594932661285036738169535400194345059<120>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3769407467
Step 1 took 75826ms
Step 2 took 27491ms
********** Factor found in step 2: 323707528193436770166251195214425203715555477
Found probable prime factor of 45 digits: 323707528193436770166251195214425203715555477
Composite cofactor 118789308488833498951862118658991523590214425303647808168898419546873925010968041419594932661285036738169535400194345059 has 120 digits

c120

name 名前Dmitry Domanov
date 日付November 9, 2013 20:44:29 UTC 2013 年 11 月 10 日 (日) 5 時 44 分 29 秒 (日本時間)
composite number 合成数
118789308488833498951862118658991523590214425303647808168898419546873925010968041419594932661285036738169535400194345059<120>
prime factors 素因数
86471033758042007120079000192217930113174491067153908843741<59>
1373746829732862042556123461993071957430124563209378760756799<61>
factorization results 素因数分解の結果
N=118789308488833498951862118658991523590214425303647808168898419546873925010968041419594932661285036738169535400194345059
  ( 120 digits)
Divisors found:
 r1=86471033758042007120079000192217930113174491067153908843741 (pp59)
 r2=1373746829732862042556123461993071957430124563209378760756799 (pp61)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 56.11 hours.
Scaled time: 51.06 units (timescale=0.910).
Factorization parameters were as follows:
n: 118789308488833498951862118658991523590214425303647808168898419546873925010968041419594932661285036738169535400194345059
skew: 645244.15
c0: -1559571754228301762433276812944
c1: -48148453746902258866949988
c2: -269375184396654276287
c3: 89269847955006
c4: 13904706
c5: 132
Y0: -245946513718142803993095
Y1: 369886906339
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 200000
type: gnfs
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2500000, 4300001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 555808 x 556041
Total sieving time: 55.08 hours.
Total relation processing time: 0.37 hours.
Matrix solve time: 0.53 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
gnfs,119,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5000000,5000000,27,27,54,54,2.5,2.5,100000
total time: 56.11 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 13, 2007 09:00:00 UTC 2007 年 7 月 13 日 (金) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61800300Dmitry DomanovApril 1, 2011 14:55:49 UTC 2011 年 4 月 1 日 (金) 23 時 55 分 49 秒 (日本時間)
1500Dmitry DomanovOctober 13, 2013 14:17:44 UTC 2013 年 10 月 13 日 (日) 23 時 17 分 44 秒 (日本時間)
4511e61500 / 4081Dmitry DomanovNovember 7, 2013 13:14:46 UTC 2013 年 11 月 7 日 (木) 22 時 14 分 46 秒 (日本時間)

5×10196+3

c115

name 名前Jo Yeong Uk
date 日付July 18, 2007 02:27:06 UTC 2007 年 7 月 18 日 (水) 11 時 27 分 6 秒 (日本時間)
composite number 合成数
7650384757347202203321962443218518173640546585406568276655144521369399383167952622184566026725961406618337839569203<115>
prime factors 素因数
18149768500139575450781954504934682959012295193<47>
421514178392323250396382121254673947852157285795193589239114535798571<69>
factorization results 素因数分解の結果
Number: 50003_196
N=7650384757347202203321962443218518173640546585406568276655144521369399383167952622184566026725961406618337839569203
  ( 115 digits)
Divisors found:
 r1=18149768500139575450781954504934682959012295193 (pp47)
 r2=421514178392323250396382121254673947852157285795193589239114535798571 (pp69)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 23.37 hours.
Scaled time: 49.86 units (timescale=2.134).
Factorization parameters were as follows:
name: 50003_196
n: 7650384757347202203321962443218518173640546585406568276655144521369399383167952622184566026725961406618337839569203
skew: 19553.70
# norm 3.28e+15
c5: 16920
c4: -3549394118
c3: -96775513274836
c2: -922030925486182961
c1: 11391841096341814490596
c0: -17247691065672184548477665
# alpha -5.74
Y1: 678599985437
Y0: -13522515818159374759236
# Murphy_E 6.05e-10
# M 1884377264941917291735930955710612016215991487489349721733252967878467057857630059934213163822258669912389565149551
type: gnfs
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 75000
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1800000, 2925001)
Primes: RFBsize:256726, AFBsize:255896, largePrimes:7598169 encountered
Relations: rels:7604204, finalFF:692093
Max relations in full relation-set: 28
Initial matrix: 512710 x 692093 with sparse part having weight 60076442.
Pruned matrix : 368783 x 371410 with weight 33519290.
Polynomial selection time: 1.33 hours.
Total sieving time: 20.87 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 0.88 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
gnfs,114,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3600000,3600000,27,27,50,50,2.4,2.4,75000
total time: 23.37 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

5×10197+3

c170

name 名前Bob Backstrom
date 日付March 9, 2021 03:21:22 UTC 2021 年 3 月 9 日 (火) 12 時 21 分 22 秒 (日本時間)
composite number 合成数
23695736351380415244004256931680513817197336811220426535223782896597104693816923457593254159300559653260891100543204615906939847399894235465448190699889311959028229521593<170>
prime factors 素因数
1336389291510624903841830931247053828864717829<46>
17731162994126718009688443786576261098205695784609025271880328743671822098635130365396485362428867360240347344928709942676517<125>
factorization results 素因数分解の結果
Number: n
N=23695736351380415244004256931680513817197336811220426535223782896597104693816923457593254159300559653260891100543204615906939847399894235465448190699889311959028229521593  ( 170 digits)
SNFS difficulty: 197 digits.
Divisors found:

Tue Mar  9 14:14:48 2021  p46 factor: 1336389291510624903841830931247053828864717829
Tue Mar  9 14:14:48 2021  p125 factor: 17731162994126718009688443786576261098205695784609025271880328743671822098635130365396485362428867360240347344928709942676517
Tue Mar  9 14:14:48 2021  elapsed time 01:08:33 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.320).
Factorization parameters were as follows:
#
# N = 5x10^197+3 = 50(196)3
#
n: 23695736351380415244004256931680513817197336811220426535223782896597104693816923457593254159300559653260891100543204615906939847399894235465448190699889311959028229521593
m: 1000000000000000000000000000000000000000
deg: 5
c5: 500
c0: 3
skew: 0.36
# Murphy_E = 2.339e-11
type: snfs
lss: 1
rlim: 13800000
alim: 13800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13800000/13800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 12500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3362635 hash collisions in 27852785 relations (26051581 unique)
Msieve: matrix is 1666989 x 1667216 (580.9 MB)

Sieving start time : 2021/03/09 10:45:56
Sieving end time  : 2021/03/09 13:05:43

Total sieving time: 2hrs 19min 47secs.

Total relation processing time: 0hrs 55min 4sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 17sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13800000,13800000,28,28,55,55,2.5,2.5,100000
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 13, 2007 09:00:00 UTC 2007 年 7 月 13 日 (金) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61800300Dmitry DomanovApril 1, 2011 14:55:57 UTC 2011 年 4 月 1 日 (金) 23 時 55 分 57 秒 (日本時間)
1500Dmitry DomanovOctober 13, 2013 14:17:51 UTC 2013 年 10 月 13 日 (日) 23 時 17 分 51 秒 (日本時間)
4511e61500 / 4081Dmitry DomanovNovember 7, 2013 13:15:00 UTC 2013 年 11 月 7 日 (木) 22 時 15 分 0 秒 (日本時間)

5×10199+3

c162

name 名前Eric Jeancolas
date 日付August 14, 2021 13:56:29 UTC 2021 年 8 月 14 日 (土) 22 時 56 分 29 秒 (日本時間)
composite number 合成数
326939223792247766844779917877606712606767451167966562253639127137004867273204642400811592400034256527386422238848074153248332576298397531106070913260400033724819<162>
prime factors 素因数
134120907923561086352779601589727057104138565173321508255552359511<66>
2437645471193639238707572624303332283026199794660571026537087595267066726406791646018336102709029<97>
factorization results 素因数分解の結果
326939223792247766844779917877606712606767451167966562253639127137004867273204642400811592400034256527386422238848074153248332576298397531106070913260400033724819=134120907923561086352779601589727057104138565173321508255552359511*2437645471193639238707572624303332283026199794660571026537087595267066726406791646018336102709029

cado polynomial
n: 326939223792247766844779917877606712606767451167966562253639127137004867273204642400811592400034256527386422238848074153248332576298397531106070913260400033724819
skew: 0.72
type: snfs
c0: 3
c5: 16
Y0: 5000000000000000000000000000000000000000
Y1: -1
# f(x) = 16*x^5+3
# g(x) = -x+5000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 14900000
tasks.lim1 = 14900000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 2437645471193639238707572624303332283026199794660571026537087595267066726406791646018336102709029 134120907923561086352779601589727057104138565173321508255552359511
Info:Square Root: Total cpu/real time for sqrt: 667.47/212.974
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 123.82/144.634
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 144.0s
Info:Linear Algebra: Total cpu/real time for bwc: 4607.6/1195.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Mksol: CPU time 4601.46,  WCT time 1176.15, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (41472 iterations)
Warning:Linear Algebra: some stats could not be displayed for linalg (see log file for debug info)
Info:Generate Free Relations: Total cpu/real time for freerel: 118.19/32.3599
Info:Generate Factor Base: Total cpu/real time for makefb: 6.23/2.83512
Info:Filtering - Merging: Merged matrix has 2643961 rows and total weight 450012585 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 744.11/204.637
Info:Filtering - Merging: Total cpu/real time for replay: 102.31/91.182
Info:Filtering - Singleton removal: Total cpu/real time for purge: 427.31/496.87
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 29273476
Info:Lattice Sieving: Average J: 1893.86 for 3338769 special-q, max bucket fill -bkmult 1.0,1s:1.132030
Info:Lattice Sieving: Total time: 812529s
Info:Quadratic Characters: Total cpu/real time for characters: 89.83/39.309
Info:Square Root: Total cpu/real time for sqrt: 667.47/212.974
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 530.14/541.58
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 439.4000000000001s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.53236e+06/1450.55
2437645471193639238707572624303332283026199794660571026537087595267066726406791646018336102709029 134120907923561086352779601589727057104138565173321508255552359511
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 13, 2007 09:00:00 UTC 2007 年 7 月 13 日 (金) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61800300Dmitry DomanovApril 1, 2011 14:56:05 UTC 2011 年 4 月 1 日 (金) 23 時 56 分 5 秒 (日本時間)
1500Dmitry DomanovOctober 13, 2013 14:17:58 UTC 2013 年 10 月 13 日 (日) 23 時 17 分 58 秒 (日本時間)
4511e659801500Dmitry DomanovNovember 7, 2013 13:15:13 UTC 2013 年 11 月 7 日 (木) 22 時 15 分 13 秒 (日本時間)
4480Ignacio SantosAugust 7, 2021 20:12:22 UTC 2021 年 8 月 8 日 (日) 5 時 12 分 22 秒 (日本時間)

5×10200+3

c163

name 名前Eric Jeancolas
date 日付February 27, 2021 05:34:43 UTC 2021 年 2 月 27 日 (土) 14 時 34 分 43 秒 (日本時間)
composite number 合成数
6795519300541856100090453542286624239470214656784601069980675786414162837826425989504861017459421939671772935664803067817722265435063030431314634930760154024385613<163>
prime factors 素因数
2538099085963048873486269539386488372362254639152378952675669<61>
2677405046211339769845970902489070781614992741508989362851635463778805241169218384827389303777564253977<103>
factorization results 素因数分解の結果
6795519300541856100090453542286624239470214656784601069980675786414162837826425989504861017459421939671772935664803067817722265435063030431314634930760154024385613=2538099085963048873486269539386488372362254639152378952675669*2677405046211339769845970902489070781614992741508989362851635463778805241169218384827389303777564253977

cado polynomial
n: 6795519300541856100090453542286624239470214656784601069980675786414162837826425989504861017459421939671772935664803067817722265435063030431314634930760154024385613
skew: 0.90
type: snfs
c0: 3
c5: 5
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 5*x^5+3
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 15500000
tasks.lim1 = 15500000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 2538099085963048873486269539386488372362254639152378952675669 2677405046211339769845970902489070781614992741508989362851635463778805241169218384827389303777564253977
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 6.5/2.47644
Info:Generate Free Relations: Total cpu/real time for freerel: 202.64/52.0749
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 45561859
Info:Lattice Sieving: Average J: 1894.28 for 3256607 special-q, max bucket fill -bkmult 1.0,1s:1.072310
Info:Lattice Sieving: Total time: 999935s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 84.62/226.533
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 226.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 673.87/644.685
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 570.5s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 471.36/516.746
Info:Filtering - Merging: Merged matrix has 3185390 rows and total weight 547215207 (171.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 486.88/139.89
Info:Filtering - Merging: Total cpu/real time for replay: 128.42/112.86
Info:Linear Algebra: Total cpu/real time for bwc: 187611/48122.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 30636.11, iteration CPU time 0.29, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (99840 iterations)
Info:Linear Algebra: Lingen CPU time 661.46, WCT time 190.96
Info:Linear Algebra: Mksol: WCT time 16915.99, iteration CPU time 0.32, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (50176 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 120.42/51.2644
Info:Square Root: Total cpu/real time for sqrt: 850.71/269.974
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.95461e+06/240288
Info:root: Cleaning up computation data in /tmp/cado.az6xqvr5
2538099085963048873486269539386488372362254639152378952675669 2677405046211339769845970902489070781614992741508989362851635463778805241169218384827389303777564253977
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
6 x Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 13, 2007 09:00:00 UTC 2007 年 7 月 13 日 (金) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61800300Dmitry DomanovApril 1, 2011 14:56:13 UTC 2011 年 4 月 1 日 (金) 23 時 56 分 13 秒 (日本時間)
1500Dmitry DomanovOctober 13, 2013 14:18:05 UTC 2013 年 10 月 13 日 (日) 23 時 18 分 5 秒 (日本時間)
4511e61500 / 4081Dmitry DomanovNovember 11, 2013 13:13:45 UTC 2013 年 11 月 11 日 (月) 22 時 13 分 45 秒 (日本時間)

5×10201+3

c200

name 名前Dmitry Domanov
date 日付October 8, 2013 10:19:09 UTC 2013 年 10 月 8 日 (火) 19 時 19 分 9 秒 (日本時間)
composite number 合成数
84745762711864406779661016949152542372881355932203389830508474576271186440677966101694915254237288135593220338983050847457627118644067796610169491525423728813559322033898305084745762711864406779661017<200>
prime factors 素因数
553452522997741091750436683206666962991<39>
153122009911246344342781589006996827782851480542622578268342331532612877939854524721905250320423349869009972247327226527846207705436063614108811455277005511168887<162>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3463482801
Step 1 took 21967ms
Step 2 took 8522ms
********** Factor found in step 2: 553452522997741091750436683206666962991
Found probable prime factor of 39 digits: 553452522997741091750436683206666962991

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 25, 2013 12:53:21 UTC 2013 年 9 月 25 日 (水) 21 時 53 分 21 秒 (日本時間)
403e6110 / 2126Ignacio SantosSeptember 25, 2013 12:53:21 UTC 2013 年 9 月 25 日 (水) 21 時 53 分 21 秒 (日本時間)
4511e632 / 4437Ignacio SantosSeptember 25, 2013 12:53:21 UTC 2013 年 9 月 25 日 (水) 21 時 53 分 21 秒 (日本時間)

5×10202+3

c193

name 名前Bob Backstrom
date 日付May 12, 2021 16:05:30 UTC 2021 年 5 月 13 日 (木) 1 時 5 分 30 秒 (日本時間)
composite number 合成数
1471208441429624477076897202762110319453649347352563980270278103198729349259093583784903313446027142176414669258842999324391747799194333414215891161415864827114313927716410134121705665765700157<193>
prime factors 素因数
38457805039494449122431217641709139560551922251310743190095755639377371015661<77>
38255132863634809072494537420520084193949547651067516421527976998760945719923667812510710726632668374836468169678737<116>
factorization results 素因数分解の結果
Number: n
N=1471208441429624477076897202762110319453649347352563980270278103198729349259093583784903313446027142176414669258842999324391747799194333414215891161415864827114313927716410134121705665765700157
  ( 193 digits)
SNFS difficulty: 202 digits.
Divisors found:

Thu May 13 01:59:54 2021  p77 factor: 38457805039494449122431217641709139560551922251310743190095755639377371015661
Thu May 13 01:59:54 2021  p116 factor: 38255132863634809072494537420520084193949547651067516421527976998760945719923667812510710726632668374836468169678737
Thu May 13 01:59:54 2021  elapsed time 01:27:26 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 5x10^202+3 = 50(201)3
#
n: 1471208441429624477076897202762110319453649347352563980270278103198729349259093583784903313446027142176414669258842999324391747799194333414215891161415864827114313927716410134121705665765700157
m: 10000000000000000000000000000000000000000
deg: 5
c5: 500
c0: 3
skew: 0.36
# Murphy_E = 1.283e-11
type: snfs
lss: 1
rlim: 16700000
alim: 16700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16700000/16700000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 28350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6613997 hash collisions in 57517839 relations (52353132 unique)
Msieve: matrix is 1896179 x 1896405 (660.1 MB)

Sieving start time : 2021/05/12 15:57:53
Sieving end time  : 2021/05/13 00:31:34

Total sieving time: 8hrs 33min 41secs.

Total relation processing time: 1hrs 9min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 36sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16700000,16700000,29,29,56,56,2.6,2.6,100000
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 KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 13, 2013 14:18:13 UTC 2013 年 10 月 13 日 (日) 23 時 18 分 13 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 22, 2013 10:14:36 UTC 2013 年 11 月 22 日 (金) 19 時 14 分 36 秒 (日本時間)

5×10203+3

c162

name 名前ebina
date 日付September 8, 2021 04:13:08 UTC 2021 年 9 月 8 日 (水) 13 時 13 分 8 秒 (日本時間)
composite number 合成数
402892093630509158361209333308262115645761616088359557821597138327145384608891562714921970769161835710929792684072138059603826092657721486712385680144328842132409<162>
prime factors 素因数
4626628737188540287692624602720173013515849040307252619090804598621<67>
87081137587740456648578440194843457405115382812980228279308656598500673962229900930818730044429<95>
factorization results 素因数分解の結果
Number: 1064
N=402892093630509158361209333308262115645761616088359557821597138327145384608891562714921970769161835710929792684072138059603826092657721486712385680144328842132409
  ( 162 digits)
SNFS difficulty: 203 digits.
Divisors found:
Version: Msieve v. 1.53 (SVN unknown)
Total time: 431.78 hours.
Scaled time: 2012.95 units (timescale=4.662).
Factorization parameters were as follows:
n: 402892093630509158361209333308262115645761616088359557821597138327145384608891562714921970769161835710929792684072138059603826092657721486712385680144328842132409
m: 10000000000000000000000000000000000000000
c5: 5000
c0: 3
type: snfs
Factor base limits: 17400000/17400000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved rational special-q in [8700000, 17800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3284564 x 3284788
Total sieving time: 411.76 hours.
Total relation processing time: 0.54 hours.
Matrix solve time: 19.31 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,203.000,5,0,0,0,0,0,0,0,0,17400000,17400000,29,29,58,58,2.6,2.6,100000
total time: 431.78 hours.
 --------- CPU info (if available) ----------

Tue Jan 17 02:08:39 2017  Msieve v. 1.53 (SVN unknown)
Tue Jan 17 02:08:39 2017  random seeds: fad09874 084b461d
Tue Jan 17 02:08:39 2017  factoring 402892093630509158361209333308262115645761616088359557821597138327145384608891562714921970769161835710929792684072138059603826092657721486712385680144328842132409 (162 digits)
Tue Jan 17 02:08:39 2017  searching for 15-digit factors
Tue Jan 17 02:08:41 2017  commencing number field sieve (162-digit input)
Tue Jan 17 02:08:41 2017  R0: -10000000000000000000000000000000000000000
Tue Jan 17 02:08:41 2017  R1: 1
Tue Jan 17 02:08:41 2017  A0: 3
Tue Jan 17 02:08:41 2017  A1: 0
Tue Jan 17 02:08:41 2017  A2: 0
Tue Jan 17 02:08:41 2017  A3: 0
Tue Jan 17 02:08:41 2017  A4: 0
Tue Jan 17 02:08:41 2017  A5: 5000
Tue Jan 17 02:08:41 2017  skew 0.23, size 3.693e-14, alpha -0.497, combined = 1.070e-11 rroots = 1
Tue Jan 17 02:08:41 2017  
Tue Jan 17 02:08:41 2017  commencing square root phase
Tue Jan 17 02:08:41 2017  reading relations for dependency 1
Tue Jan 17 02:08:42 2017  read 1643547 cycles
Tue Jan 17 02:08:44 2017  cycles contain 5451134 unique relations
Tue Jan 17 02:10:02 2017  read 5451134 relations
Tue Jan 17 02:10:27 2017  multiplying 5451134 relations
Tue Jan 17 02:14:02 2017  multiply complete, coefficients have about 190.90 million bits
Tue Jan 17 02:14:03 2017  initial square root is modulo 7094371
Tue Jan 17 02:18:34 2017  sqrtTime: 593
Tue Jan 17 02:18:34 2017  p67 factor: 4626628737188540287692624602720173013515849040307252619090804598621
Tue Jan 17 02:18:34 2017  p95 factor: 87081137587740456648578440194843457405115382812980228279308656598500673962229900930818730044429
Tue Jan 17 02:18:34 2017  elapsed time 00:09:55
execution environment 実行環境
core i7 2600 3.4GHz windows 7

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 13, 2013 14:18:21 UTC 2013 年 10 月 13 日 (日) 23 時 18 分 21 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 11, 2013 13:13:58 UTC 2013 年 11 月 11 日 (月) 22 時 13 分 58 秒 (日本時間)

5×10204+3

c155

name 名前anonymous
date 日付April 6, 2021 00:00:37 UTC 2021 年 4 月 6 日 (火) 9 時 0 分 37 秒 (日本時間)
composite number 合成数
47905942854768216749771765368532183861998453234002042934177577347478324424933760373465848978354032212635775523958581649050276256554951931416559243698185839<155>
prime factors 素因数
28681613837670926949058808246050020671555989<44>
1670266642801240286673009325262528776989657720578399494977846061500786233219205506588820156377925542807748433651<112>
factorization results 素因数分解の結果
p44: 28681613837670926949058808246050020671555989
p112: 1670266642801240286673009325262528776989657720578399494977846061500786233219205506588820156377925542807748433651
software ソフトウェア
factordb, http://factordb.com/index.php?id=1000000000031850228, July 24, 2020

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 13, 2013 14:18:29 UTC 2013 年 10 月 13 日 (日) 23 時 18 分 29 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 11, 2013 13:14:18 UTC 2013 年 11 月 11 日 (月) 22 時 14 分 18 秒 (日本時間)

5×10205+3

c182

name 名前Dmitry Domanov
date 日付October 8, 2013 10:20:25 UTC 2013 年 10 月 8 日 (火) 19 時 20 分 25 秒 (日本時間)
composite number 合成数
42332214994927211656551814967842198572813763249130494539731052226943689194771662157648330305629483979443068857869060262683841931914447156307818023592592569476135763089426429736945287<182>
prime factors 素因数
51734921678467808836956770527802117<35>
composite cofactor 合成数の残り
818252229277965159787827394431795692292419664586706378827173873215358400114231285685285030967418753179088405492953364294368479921578535895304266011<147>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1010481965
Step 1 took 24670ms
Step 2 took 8657ms
********** Factor found in step 2: 51734921678467808836956770527802117
Found probable prime factor of 35 digits: 51734921678467808836956770527802117

c147

name 名前Dmitry Domanov
date 日付November 13, 2013 05:21:01 UTC 2013 年 11 月 13 日 (水) 14 時 21 分 1 秒 (日本時間)
composite number 合成数
818252229277965159787827394431795692292419664586706378827173873215358400114231285685285030967418753179088405492953364294368479921578535895304266011<147>
prime factors 素因数
42504775489855204236946455927370624979<38>
19250830520755506723945635484449894530253448208748508766983841117800703971735518761103726190412665935775302809<110>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1475963172
Step 1 took 68273ms
Step 2 took 5833ms
********** Factor found in step 2: 42504775489855204236946455927370624979
Found probable prime factor of 38 digits: 42504775489855204236946455927370624979

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 13, 2013 14:18:37 UTC 2013 年 10 月 13 日 (日) 23 時 18 分 37 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 11, 2013 13:14:46 UTC 2013 年 11 月 11 日 (月) 22 時 14 分 46 秒 (日本時間)

5×10207+3

c195

name 名前Dmitry Domanov
date 日付October 8, 2013 10:17:37 UTC 2013 年 10 月 8 日 (火) 19 時 17 分 37 秒 (日本時間)
composite number 合成数
699958923050298595089325776524732284564686390732579968406962347509297962164996034496605475272516153144441492295592266200212345026770483794601366974505641957173579290312050992048010799479174560001<195>
prime factors 素因数
2720227856525739639452312832553<31>
composite cofactor 合成数の残り
257316283770537648973547713329205449513917429115126061372722099352434886633613802380179331173277284886713386933738286323172992202489751259828314389640963671059432217<165>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1969703585
Step 1 took 30163ms
Step 2 took 9540ms
********** Factor found in step 2: 2720227856525739639452312832553
Found probable prime factor of 31 digits: 2720227856525739639452312832553

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 13, 2013 14:18:45 UTC 2013 年 10 月 13 日 (日) 23 時 18 分 45 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 11, 2013 13:15:04 UTC 2013 年 11 月 11 日 (月) 22 時 15 分 4 秒 (日本時間)

5×10208+3

c172

name 名前Bob Backstrom
date 日付August 4, 2021 00:17:52 UTC 2021 年 8 月 4 日 (水) 9 時 17 分 52 秒 (日本時間)
composite number 合成数
4650348733865691287789535487711511791379351816158420837568471227349901573543083417911237450833105613300497760466116447266775955596904233496912535500767819397481919974038389<172>
prime factors 素因数
8146082652295823028051674404962795270107033168432554549<55>
570869328529962354033082538695574852174183095433568990571372651290733411715111148637105096579526954361801680237444161<117>
factorization results 素因数分解の結果
#
# N = 5x10^208+3 = 50(207)3
#
n: 4650348733865691287789535487711511791379351816158420837568471227349901573543083417911237450833105613300497760466116447266775955596904233496912535500767819397481919974038389
m: 500000000000000000000000000000000000000000
deg: 5
c5: 8
c0: 15
skew: 1.13
# Murphy_E = 7.47e-12
type: snfs
lss: 1
rlim: 22000000
alim: 22000000
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 4650348733865691287789535487711511791379351816158420837568471227349901573543083417911237450833105613300497760466116447266775955596904233496912535500767819397481919974038389 (172 digits)
Using B1=45030000, B2=240492732496, polynomial Dickson(12), sigma=1:766897809
Step 1 took 104236ms
Step 2 took 35230ms
********** Factor found in step 2: 8146082652295823028051674404962795270107033168432554549
Found prime factor of 55 digits: 8146082652295823028051674404962795270107033168432554549
Prime cofactor 570869328529962354033082538695574852174183095433568990571372651290733411715111148637105096579526954361801680237444161 has 117 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 13, 2013 14:18:54 UTC 2013 年 10 月 13 日 (日) 23 時 18 分 54 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 26, 2013 13:00:31 UTC 2013 年 11 月 26 日 (火) 22 時 0 分 31 秒 (日本時間)

5×10209+3

c173

composite cofactor 合成数の残り
31796094197477402111107783023599572471228470135206746563765977704605653123363198295255613769222194120850036798370926709134390007250704194718436531816995677004746701689759803<173>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 13, 2013 14:19:02 UTC 2013 年 10 月 13 日 (日) 23 時 19 分 2 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 26, 2013 13:00:17 UTC 2013 年 11 月 26 日 (火) 22 時 0 分 17 秒 (日本時間)

5×10210+3

c200

name 名前Bob Backstrom
date 日付October 9, 2020 16:03:22 UTC 2020 年 10 月 10 日 (土) 1 時 3 分 22 秒 (日本時間)
composite number 合成数
12372355227966888648259809326907556030190641158430082719037823096785143086275999922457213805599033254079831396963199081083275180780423988783265845712948805754196482793457187428329085808570050584436533<200>
prime factors 素因数
4052573018550880511376151269974481184558606553903<49>
2037582986420798314548954584336754559457843741864447<52>
1498325691786812939013573589202596776981925923536244338325716833006900697624345651256435322467602213<100>
factorization results 素因数分解の結果
Number: n
N=12372355227966888648259809326907556030190641158430082719037823096785143086275999922457213805599033254079831396963199081083275180780423988783265845712948805754196482793457187428329085808570050584436533  ( 200 digits)
SNFS difficulty: 210 digits.
Divisors found:

Sat Oct 10 02:59:26 2020  prp49 factor: 4052573018550880511376151269974481184558606553903
Sat Oct 10 02:59:26 2020  prp52 factor: 2037582986420798314548954584336754559457843741864447
Sat Oct 10 02:59:26 2020  prp100 factor: 1498325691786812939013573589202596776981925923536244338325716833006900697624345651256435322467602213
Sat Oct 10 02:59:26 2020  elapsed time 04:23:45 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.114).
Factorization parameters were as follows:
#
# N = 5x10^210+3 = 50(209)3
#
n: 12372355227966888648259809326907556030190641158430082719037823096785143086275999922457213805599033254079831396963199081083275180780423988783265845712948805754196482793457187428329085808570050584436533
m: 1000000000000000000000000000000000000000000
deg: 5
c5: 5
c0: 3
skew: 0.90
# Murphy_E = 6.614e-12
type: snfs
lss: 1
rlim: 23000000
alim: 23000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 23000000/23000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 15500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9661743 hash collisions in 65411580 relations (58300000 unique)
Msieve: matrix is 2760358 x 2760583 (777.6 MB)

Sieving start time: 2020/10/09 19:17:08
Sieving end time  : 2020/10/09 22:34:32

Total sieving time: 3hrs 17min 24secs.

Total relation processing time: 3hrs 54min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 59sec.

Prototype def-par.txt line would be:
snfs,210,5,0,0,0,0,0,0,0,0,23000000,23000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.113540] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16228504K/16703460K available (14339K kernel code, 2398K rwdata, 4956K rodata, 2716K init, 4988K bss, 474956K reserved, 0K cma-reserved)
[    0.148670] x86/mm: Memory block size: 128MB
[    0.000008] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.64 BogoMIPS (lpj=11977280)
[    0.146244] smpboot: Total of 16 processors activated (95818.24 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 13, 2013 14:19:10 UTC 2013 年 10 月 13 日 (日) 23 時 19 分 10 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovJanuary 6, 2014 09:22:56 UTC 2014 年 1 月 6 日 (月) 18 時 22 分 56 秒 (日本時間)

5×10213+3

c167

name 名前ebina
date 日付September 8, 2021 04:28:54 UTC 2021 年 9 月 8 日 (水) 13 時 28 分 54 秒 (日本時間)
composite number 合成数
50375927633231622735958285114657406454731993385528596839089939523558494394916363084240799062403346010693325647743821559567455160600360402566420257161505010019249660811<167>
prime factors 素因数
832482327504250240731693377302243150545235551523748170648611153790365045727<75>
60512909366204447509760227671777031084586805309127242579612650754194203126287510934768436693<92>
factorization results 素因数分解の結果
Number: 952
N=50375927633231622735958285114657406454731993385528596839089939523558494394916363084240799062403346010693325647743821559567455160600360402566420257161505010019249660811
  ( 167 digits)
SNFS difficulty: 213 digits.
Divisors found:
 r1=832482327504250240731693377302243150545235551523748170648611153790365045727 (pp75)
 r2=60512909366204447509760227671777031084586805309127242579612650754194203126287510934768436693 (pp92)
Version: Msieve v. 1.50 (SVN Official Release)
Total time: 1893.77 hours.
Scaled time: 5741.91 units (timescale=3.032).
Factorization parameters were as follows:
n: 50375927633231622735958285114657406454731993385528596839089939523558494394916363084240799062403346010693325647743821559567455160600360402566420257161505010019249660811
m: 1000000000000000000000000000000000000000000
c5:  5000
c0:  3
type: snfs
Factor base limits: 25500000/25500000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved rational special-q in [12750000, 32050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 4782145 x 4782371
Total sieving time: 1830.20 hours.
Total relation processing time: 0.34 hours.
Matrix solve time: 62.82 hours.
Time per square root: 0.41 hours.
Prototype def-par.txt line would be:
snfs,213.000,5,0,0,0,0,0,0,0,0,25500000,25500000,29,29,58,58,2.6,2.6,100000
total time: 1893.77 hours.
 --------- CPU info (if available) ----------

Sat Oct 08 07:51:20 2016  Msieve v. 1.50 (SVN Official Release)
Sat Oct 08 07:51:20 2016  random seeds: b729ffd8 e41a9187
Sat Oct 08 07:51:20 2016  factoring 50375927633231622735958285114657406454731993385528596839089939523558494394916363084240799062403346010693325647743821559567455160600360402566420257161505010019249660811 (167 digits)
Sat Oct 08 07:51:22 2016  searching for 15-digit factors
Sat Oct 08 07:51:22 2016  commencing number field sieve (167-digit input)
Sat Oct 08 07:51:22 2016  R0: -1000000000000000000000000000000000000000000
Sat Oct 08 07:51:22 2016  R1: 1
Sat Oct 08 07:51:22 2016  A0: 3
Sat Oct 08 07:51:22 2016  A1: 0
Sat Oct 08 07:51:22 2016  A2: 0
Sat Oct 08 07:51:22 2016  A3: 0
Sat Oct 08 07:51:22 2016  A4: 0
Sat Oct 08 07:51:22 2016  A5: 5000
Sat Oct 08 07:51:22 2016  skew 0.23, size 9.622e-015, alpha -0.497, combined = 4.551e-012 rroots = 1
Sat Oct 08 07:51:22 2016  
Sat Oct 08 07:51:22 2016  commencing square root phase
Sat Oct 08 07:51:22 2016  reading relations for dependency 1
Sat Oct 08 07:51:24 2016  read 2390945 cycles
Sat Oct 08 07:51:29 2016  cycles contain 7616046 unique relations
Sat Oct 08 07:52:31 2016  read 7616046 relations
Sat Oct 08 07:53:24 2016  multiplying 7616046 relations
Sat Oct 08 08:03:06 2016  multiply complete, coefficients have about 269.91 million bits
Sat Oct 08 08:03:08 2016  initial square root is modulo 69761
Sat Oct 08 08:16:07 2016  sqrtTime: 1485
Sat Oct 08 08:16:07 2016  prp75 factor: 832482327504250240731693377302243150545235551523748170648611153790365045727
Sat Oct 08 08:16:07 2016  prp92 factor: 60512909366204447509760227671777031084586805309127242579612650754194203126287510934768436693
Sat Oct 08 08:16:07 2016  elapsed time 00:24:47
execution environment 実行環境
core i7 920 2666GHz windows 7 64bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 13, 2013 14:19:18 UTC 2013 年 10 月 13 日 (日) 23 時 19 分 18 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 11, 2013 13:15:30 UTC 2013 年 11 月 11 日 (月) 22 時 15 分 30 秒 (日本時間)

5×10214+3

c203

name 名前Dmitry Domanov
date 日付October 8, 2013 10:18:04 UTC 2013 年 10 月 8 日 (火) 19 時 18 分 4 秒 (日本時間)
composite number 合成数
79323919702513570549878582012341175755838339685063206384203604112024509878331690355443619859842284741172964034254937813331098355708244989026610413418553079032179098585276136131258529149060538584486476791<203>
prime factors 素因数
19449664515733930645689539691285533<35>
4078420974220094017435316513410209136996353526940932332216858355612189143114731504696134056848482797695524900424565302675763442528193389806403979828970180525244038177827<169>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1435513866
Step 1 took 21216ms
Step 2 took 8001ms
********** Factor found in step 2: 19449664515733930645689539691285533
Found probable prime factor of 35 digits: 19449664515733930645689539691285533

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)

5×10215+3

c207

name 名前anonymous
date 日付May 28, 2018 11:04:18 UTC 2018 年 5 月 28 日 (月) 20 時 4 分 18 秒 (日本時間)
composite number 合成数
795824889982739942871582940606615962572559155283576068174829428503646573898961502157170109211224733807198563054758687692841999344058842579306222366840936029690138400744712558928664480396689803296391688406759<207>
prime factors 素因数
16112939748357572771910905669478663465624715845394020938761197891441677049563119347365557454798694923<101>
49390421761110359540619191677295949289098687282584827449452647565690921061556341802852627773622184950234133<107>
factorization results 素因数分解の結果
N=795824889982739942871582940606615962572559155283576068174829428503646573898961502157170109211224733807198563054758687692841999344058842579306222366840936029690138400744712558928664480396689803296391688406759
  ( 207 digits)
SNFS difficulty: 216 digits.
Divisors found:
 r1=16112939748357572771910905669478663465624715845394020938761197891441677049563119347365557454798694923 (pp101)
 r2=49390421761110359540619191677295949289098687282584827449452647565690921061556341802852627773622184950234133 (pp107)
Version: Msieve v. 1.50 (SVN Official Release)
Total time: 1411.60 hours.
Scaled time: 6284.46 units (timescale=4.452).
Factorization parameters were as follows:
n: 795824889982739942871582940606615962572559155283576068174829428503646573898961502157170109211224733807198563054758687692841999344058842579306222366840936029690138400744712558928664480396689803296391688406759
m: 1000000000000000000000000000000000000
c6:  1
c0:  6
type: snfs
Factor base limits: 27900000/27900000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved rational special-q in [13950000, 34450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 4814232 x 4814459
Total sieving time: 1364.16 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 46.92 hours.
Time per square root: 0.24 hours.
Prototype def-par.txt line would be:
snfs,216.000,6,0,0,0,0,0,0,0,0,27900000,27900000,29,29,58,58,2.6,2.6,100000
total time: 1411.60 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 3960 3,3GHz windows 7

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovOctober 13, 2013 14:19:28 UTC 2013 年 10 月 13 日 (日) 23 時 19 分 28 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:31 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 31 秒 (日本時間)
4511e61500 / 4077Dmitry DomanovJanuary 10, 2014 08:00:37 UTC 2014 年 1 月 10 日 (金) 17 時 0 分 37 秒 (日本時間)

5×10216+3

c212

name 名前Ignacio Santos
date 日付September 25, 2013 14:53:06 UTC 2013 年 9 月 25 日 (水) 23 時 53 分 6 秒 (日本時間)
composite number 合成数
16195958136687408290387051007550555683323669744978443179720069059565494835108950210385496195569433692127792588081718326374469987269976904563697083755777908065263232907595580446943660740025719181521059604365134637<212>
prime factors 素因数
336774539215301428582971711769<30>
48091397213176088017268712487943552622016474739861472372167341961796367061569267149468975590481884737465594798518509074103104132668838321556573661897622448082321715477482227833739573<182>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:2330132853
Step 1 took 3672ms
Step 2 took 3359ms
********** Factor found in step 2: 336774539215301428582971711769
Found probable prime factor of 30 digits: 336774539215301428582971711769
Probable prime cofactor 48091397213176088017268712487943552622016474739861472372167341961796367061569267149468975590481884737465594798518509074103104132668838321556573661897622448082321715477482227833739573 has 182 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
3025e40--
351e6118 / 904Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)

5×10217+3

c210

name 名前Bob Backstrom
date 日付February 15, 2020 19:54:46 UTC 2020 年 2 月 16 日 (日) 4 時 54 分 46 秒 (日本時間)
composite number 合成数
138419940202973408148056005582620145123728642955572683392876377790904848186920116825432907740095068420602708491207619382083808274064660267234145603597354853632775824231015704509062496057627078094063619183179891<210>
prime factors 素因数
38073090410440143238476169079332866625283147<44>
3635637105124958178005760213842392671456501924514680607036508493986706533284185492178499842749172625033833912802286519128448487967682740684848968810766507143004607353<166>
factorization results 素因数分解の結果
#
# N = 5x10^217+3 = 50(216)3
#
n: 138419940202973408148056005582620145123728642955572683392876377790904848186920116825432907740095068420602708491207619382083808274064660267234145603597354853632775824231015704509062496057627078094063619183179891
m: 10000000000000000000000000000000000000000000
deg: 5
c5: 500
c0: 3
skew: 0.36
# Murphy_E = 2.95e-12
type: snfs
lss: 1
rlim: 30000000
alim: 30000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6



GMP-ECM 6.2.3 [powered by GMP 6.1.2] [ECM]
Input number is 138419940202973408148056005582620145123728642955572683392876377790904848186920116825432907740095068420602708491207619382083808274064660267234145603597354853632775824231015704509062496057627078
094063619183179891 (210 digits)
Using B1=1400030000, B2=38989259869578, polynomial Dickson(30), sigma=3610642879
Step 1 took 7803237ms
Step 2 took 1200455ms
********** Factor found in step 2: 38073090410440143238476169079332866625283147
Found probable prime factor of 44 digits: 38073090410440143238476169079332866625283147
Probable prime cofactor 3635637105124958178005760213842392671456501924514680607036508493986706533284185492178499842749172625033833912802286519128448487967682740684848968810766507143004607353 has 166 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovOctober 13, 2013 14:19:37 UTC 2013 年 10 月 13 日 (日) 23 時 19 分 37 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:31 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 31 秒 (日本時間)
4511e61600 / 4077Dmitry DomanovJanuary 10, 2014 05:48:31 UTC 2014 年 1 月 10 日 (金) 14 時 48 分 31 秒 (日本時間)

5×10219+3

c182

name 名前Erik Branger
date 日付February 4, 2021 08:46:46 UTC 2021 年 2 月 4 日 (木) 17 時 46 分 46 秒 (日本時間)
composite number 合成数
10545746874759397378411965885005881324158729530362742059737965559160866990788359584934310614462264829581026486976747614305755706573282299053453798856706976962638031312848854627953359<182>
prime factors 素因数
414414360677643541815051103361302710462351443381918010607923082965096856949<75>
25447349019264597054971109652101130553398601111833935107605814046327635469987279975365025626464359135079091<107>
factorization results 素因数分解の結果
Number: 50003_219
N = 10545746874759397378411965885005881324158729530362742059737965559160866990788359584934310614462264829581026486976747614305755706573282299053453798856706976962638031312848854627953359 (182 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=414414360677643541815051103361302710462351443381918010607923082965096856949 (pp75)
r2=25447349019264597054971109652101130553398601111833935107605814046327635469987279975365025626464359135079091 (pp107)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 54.46 hours.
Factorization parameters were as follows:
n: 10545746874759397378411965885005881324158729530362742059737965559160866990788359584934310614462264829581026486976747614305755706573282299053453798856706976962638031312848854627953359
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1
c0: 6
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: 6810874 relations
Pruned matrix : 5989358 x 5989583
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 28.72 hours.
Total relation processing time: 0.34 hours.
Matrix solve time: 25.08 hours.
time per square root: 0.32 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 54.46 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.18362-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 KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 13, 2013 14:19:44 UTC 2013 年 10 月 13 日 (日) 23 時 19 分 44 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovJanuary 6, 2014 09:27:19 UTC 2014 年 1 月 6 日 (月) 18 時 27 分 19 秒 (日本時間)

5×10220+3

c127

name 名前Serge Batalov
date 日付November 8, 2013 00:16:18 UTC 2013 年 11 月 8 日 (金) 9 時 16 分 18 秒 (日本時間)
composite number 合成数
5371473760163646940143791210591827616125713229375111335742188823716690815667159488217547871441425560152007187168367568667221857<127>
prime factors 素因数
7642519006603519591700132941973808240570736277<46>
702840746031828550753681332932037827527335768460302324464841336269339833168848541<81>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4007888246
Step 1 took 29319ms
Step 2 took 13326ms
********** Factor found in step 2: 7642519006603519591700132941973808240570736277
Found probable prime factor of 46 digits: 7642519006603519591700132941973808240570736277
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 23, 2013 18:12:20 UTC 2013 年 9 月 24 日 (火) 3 時 12 分 20 秒 (日本時間)
403e61610110Ignacio SantosSeptember 23, 2013 18:12:20 UTC 2013 年 9 月 24 日 (火) 3 時 12 分 20 秒 (日本時間)
1500Dmitry DomanovOctober 13, 2013 14:19:52 UTC 2013 年 10 月 13 日 (日) 23 時 19 分 52 秒 (日本時間)
4511e6262 / 410532Ignacio SantosSeptember 23, 2013 18:12:20 UTC 2013 年 9 月 24 日 (火) 3 時 12 分 20 秒 (日本時間)
230Ignacio SantosSeptember 23, 2013 18:15:05 UTC 2013 年 9 月 24 日 (火) 3 時 15 分 5 秒 (日本時間)

5×10221+3

c161

composite cofactor 合成数の残り
78456394929980347990883308357850634963476074602182537603227693305221656591740764235626803156695290331447738541871995795208803135358845970781893901099418548335891<161>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 13, 2013 14:20:01 UTC 2013 年 10 月 13 日 (日) 23 時 20 分 1 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 26, 2013 13:00:58 UTC 2013 年 11 月 26 日 (火) 22 時 0 分 58 秒 (日本時間)

5×10222+3

c178

composite cofactor 合成数の残り
5646954941103415085575277027368515189098055090350789161449170102513537116986390541085309561651494256565479610140292677303919377911017186400903786460389921116833669595538606752769<178>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 13, 2013 14:20:08 UTC 2013 年 10 月 13 日 (日) 23 時 20 分 8 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovJanuary 6, 2014 09:27:38 UTC 2014 年 1 月 6 日 (月) 18 時 27 分 38 秒 (日本時間)

5×10223+3

c156

name 名前Ignacio Santos
date 日付September 23, 2013 20:29:10 UTC 2013 年 9 月 24 日 (火) 5 時 29 分 10 秒 (日本時間)
composite number 合成数
121532291063481168515076987178839169563670885833053336343719736779646457544850441298104530123993496703086792602658374489636159614356663134195708859593621261<156>
prime factors 素因数
64833579032933908050697703710951<32>
composite cofactor 合成数の残り
1874526948477511481440252930476600470297049453893667919978406864945019737153992334555195599214869321430110565057704746040811<124>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:2622041367
Step 1 took 2344ms
Step 2 took 2047ms
********** Factor found in step 2: 64833579032933908050697703710951
Found probable prime factor of 32 digits: 64833579032933908050697703710951
Composite cofactor 1874526948477511481440252930476600470297049453893667919978406864945019737153992334555195599214869321430110565057704746040811 has 124 digits
software ソフトウェア
GMP-ECM 7.0

c124

name 名前Erik Branger
date 日付October 14, 2013 19:34:04 UTC 2013 年 10 月 15 日 (火) 4 時 34 分 4 秒 (日本時間)
composite number 合成数
1874526948477511481440252930476600470297049453893667919978406864945019737153992334555195599214869321430110565057704746040811<124>
prime factors 素因数
21053416522920471553741154634622233579271530021834884489819387<62>
89036710333296645464038392480989576522988658039948266967295953<62>
factorization results 素因数分解の結果
Number: 50003_223
N = 1874526948477511481440252930476600470297049453893667919978406864945019737153992334555195599214869321430110565057704746040811 (124 digits)
Divisors found:
r1=21053416522920471553741154634622233579271530021834884489819387 (pp62)
r2=89036710333296645464038392480989576522988658039948266967295953 (pp62)
Version: Msieve v. 1.51 (SVN 845)
Total time: 43.17 hours.
Factorization parameters were as follows:
# Murphy_E = 1.973e-10, selected by Dmitry Domanov
n: 1874526948477511481440252930476600470297049453893667919978406864945019737153992334555195599214869321430110565057704746040811
Y0: -765311551055134482949041
Y1: 3814744952549
c0: 8888020467760317934305062805712
c1: -109411849673365994923123164
c2: -934804624263386966768
c3: 3321626407245027
c4: 7041783688
c5: 7140
skew: 300549.94
type: gnfs
# selected mechanically
rlim: 6400000
alim: 6400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10570477
Relations: 1449612 relations
Pruned matrix : 850567 x 850794
Polynomial selection time: 0.00 hours.
Total sieving time: 42.47 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.55 hours.
time per square root: 0.09 hours.
Prototype def-par.txt line would be: gnfs,123,5,65,2000,1e-05,0.28,250,20,50000,3600,6400000,6400000,27,27,52,52,2.5,2.5,100000
total time: 43.17 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 25, 2013 12:52:19 UTC 2013 年 9 月 25 日 (水) 21 時 52 分 19 秒 (日本時間)
403e61610110Ignacio SantosSeptember 25, 2013 12:52:19 UTC 2013 年 9 月 25 日 (水) 21 時 52 分 19 秒 (日本時間)
1500Dmitry DomanovOctober 13, 2013 14:20:16 UTC 2013 年 10 月 13 日 (日) 23 時 20 分 16 秒 (日本時間)
4511e6492 / 410532Ignacio SantosSeptember 25, 2013 12:52:19 UTC 2013 年 9 月 25 日 (水) 21 時 52 分 19 秒 (日本時間)
230Ignacio SantosOctober 2, 2013 17:44:32 UTC 2013 年 10 月 3 日 (木) 2 時 44 分 32 秒 (日本時間)
230Ignacio SantosOctober 9, 2013 17:43:42 UTC 2013 年 10 月 10 日 (木) 2 時 43 分 42 秒 (日本時間)

5×10224+3

c171

name 名前Dmitry Domanov
date 日付October 8, 2013 10:19:58 UTC 2013 年 10 月 8 日 (火) 19 時 19 分 58 秒 (日本時間)
composite number 合成数
294256708342962287589104475070630087394063336246495254598924456015423728368446428995430726674777950926304250946938643829717495336161329557628250960593882604062896587050113<171>
prime factors 素因数
2709264145707257438429463366391<31>
composite cofactor 合成数の残り
108611302744032046320043638452925614315195722015261924293223337814531337629081640515690438244316749312345199882216266183243462691965808758343<141>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=962939845
Step 1 took 26512ms
Step 2 took 10021ms
********** Factor found in step 2: 2709264145707257438429463366391
Found probable prime factor of 31 digits: 2709264145707257438429463366391

c141

name 名前Erik Branger
date 日付August 25, 2016 16:31:53 UTC 2016 年 8 月 26 日 (金) 1 時 31 分 53 秒 (日本時間)
composite number 合成数
108611302744032046320043638452925614315195722015261924293223337814531337629081640515690438244316749312345199882216266183243462691965808758343<141>
prime factors 素因数
880630513952722914538084947579497786743332125341609917142189<60>
123333567282978452323767492110010335266741271427792041111191952387384006294821187<81>
factorization results 素因数分解の結果
Number: 50003_224
N = 108611302744032046320043638452925614315195722015261924293223337814531337629081640515690438244316749312345199882216266183243462691965808758343 (141 digits)
Divisors found:
r1=880630513952722914538084947579497786743332125341609917142189 (pp60)
r2=123333567282978452323767492110010335266741271427792041111191952387384006294821187 (pp81)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 160.42 hours.
Factorization parameters were as follows:
# Murphy_E = 2.205e-11, selected by Erik Branger
# expecting poly E from 2.04e-011 to > 2.35e-011
n: 108611302744032046320043638452925614315195722015261924293223337814531337629081640515690438244316749312345199882216266183243462691965808758343
Y0: -1875538089570913457630910219
Y1: 351278518752613
c0: 209182936575587172898049379194000
c1: -3577648187247255626829141758
c2: -3007402792271976633375
c3: -533641990297823
c4: -15686824939
c5: 4680
skew: 879873.1
type: gnfs
# selected mechanically
rlim: 18300000
alim: 18300000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18300000/18300000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23047556
Relations: 3481930 relations
Pruned matrix : 2156233 x 2156462
Polynomial selection time: 0.00 hours.
Total sieving time: 158.39 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 1.56 hours.
time per square root: 0.33 hours.
Prototype def-par.txt line would be: gnfs,140,5,65,2000,1e-05,0.28,250,20,50000,3600,18300000,18300000,28,28,56,56,2.6,2.6,100000
total time: 160.42 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-8-6.2.9200
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 9, 2013 13:38:44 UTC 2013 年 10 月 9 日 (水) 22 時 38 分 44 秒 (日本時間)
403e61610110Ignacio SantosOctober 9, 2013 13:38:44 UTC 2013 年 10 月 9 日 (水) 22 時 38 分 44 秒 (日本時間)
1500Dmitry DomanovOctober 13, 2013 14:20:23 UTC 2013 年 10 月 13 日 (日) 23 時 20 分 23 秒 (日本時間)
4511e6416232Ignacio SantosOctober 9, 2013 13:38:44 UTC 2013 年 10 月 9 日 (水) 22 時 38 分 44 秒 (日本時間)
230Ignacio SantosOctober 23, 2013 14:43:23 UTC 2013 年 10 月 23 日 (水) 23 時 43 分 23 秒 (日本時間)
850Serge BatalovNovember 8, 2013 01:46:16 UTC 2013 年 11 月 8 日 (金) 10 時 46 分 16 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:09:24 UTC 2013 年 11 月 9 日 (土) 2 時 9 分 24 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:23:32 UTC 2014 年 1 月 6 日 (月) 11 時 23 分 32 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:24 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 24 秒 (日本時間)

5×10225+3

c186

name 名前Dmitry Domanov
date 日付October 8, 2013 10:18:37 UTC 2013 年 10 月 8 日 (火) 19 時 18 分 37 秒 (日本時間)
composite number 合成数
530278857391541763783438220613426709820803919783661851390088856067146328349471621854934500482917620242929380347519860696642594732546760656854286349789439567673969930834504661376092010303<186>
prime factors 素因数
208639959613444360749612904768283<33>
2541597776255376567850174153735232526668685901368306182415653226024556014249430449933421627814798597337282302793184957982029082928204041583865113640032941<154>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3948059299
Step 1 took 21046ms
Step 2 took 8836ms
********** Factor found in step 2: 208639959613444360749612904768283
Found probable prime factor of 33 digits: 208639959613444360749612904768283

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)

5×10226+3

c200

name 名前Dmitry Domanov
date 日付December 2, 2013 05:55:32 UTC 2013 年 12 月 2 日 (月) 14 時 55 分 32 秒 (日本時間)
composite number 合成数
54834242187307510598836900589761864616986273624507869596493076434782468418127728236447669591974321664859837637941903547138711655176170836308813641126801640590270719919827236712509771289713025901508651<200>
prime factors 素因数
15625978671491638853267938831703665322962427<44>
composite cofactor 合成数の残り
3509171703104154675241107276135386094600310248416462373518235089791764263272904169219347567482893717580418058729978839014789328474337285873547055462012647313<157>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2182137660
Step 1 took 98567ms
Step 2 took 32605ms
********** Factor found in step 2: 15625978671491638853267938831703665322962427
Found probable prime factor of 44 digits: 15625978671491638853267938831703665322962427

c157

name 名前anonymous
date 日付April 6, 2021 00:03:26 UTC 2021 年 4 月 6 日 (火) 9 時 3 分 26 秒 (日本時間)
composite number 合成数
3509171703104154675241107276135386094600310248416462373518235089791764263272904169219347567482893717580418058729978839014789328474337285873547055462012647313<157>
prime factors 素因数
4472541952434180813780055881555741046292868300158268046613<58>
784603418016970883566099079756256926201767424148507200532467723797386832070055833533775191532373901<99>
factorization results 素因数分解の結果
p58: 4472541952434180813780055881555741046292868300158268046613
p99: 784603418016970883566099079756256926201767424148507200532467723797386832070055833533775191532373901
software ソフトウェア
factordb, http://factordb.com/index.php?id=1000000000031850250, August 3, 2020

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 13, 2013 14:20:30 UTC 2013 年 10 月 13 日 (日) 23 時 20 分 30 秒 (日本時間)
4511e641441500Dmitry DomanovNovember 29, 2013 15:42:54 UTC 2013 年 11 月 30 日 (土) 0 時 42 分 54 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:26:09 UTC 2014 年 1 月 6 日 (月) 11 時 26 分 9 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:02 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 2 秒 (日本時間)
1344Ignacio SantosJanuary 15, 2016 19:07:30 UTC 2016 年 1 月 16 日 (土) 4 時 7 分 30 秒 (日本時間)

5×10229+3

c222

composite cofactor 合成数の残り
111551812411188163988598057225682642487344296287003947691472165800369049538243431671439414679073099302524300831669406048242441961449340135444559662840983130128729832176924405024631856095145628559669926754254487402008732673<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 13, 2013 14:20:38 UTC 2013 年 10 月 13 日 (日) 23 時 20 分 38 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovOctober 21, 2013 14:17:40 UTC 2013 年 10 月 21 日 (月) 23 時 17 分 40 秒 (日本時間)

5×10230+3

c220

name 名前Dmitry Domanov
date 日付October 8, 2013 10:22:20 UTC 2013 年 10 月 8 日 (火) 19 時 22 分 20 秒 (日本時間)
composite number 合成数
8076624015334908202962068591625083222016432295810384086281751703207118379833857859872295496324884510414411131266461131260163787515407159589557634708667557320461345059417988587344106784353516583597057610254628811770116359<220>
prime factors 素因数
1950097109813500843371813437<28>
composite cofactor 合成数の残り
4141652215518294290587144580603463888408825900853970675181459447883621199283460099918951336167694472369368848129135130055524235644974131666206199679597635667475713738694708297365793195273717907<193>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=30852199
Step 1 took 40087ms
Step 2 took 13873ms
********** Factor found in step 2: 1950097109813500843371813437
Found probable prime factor of 28 digits: 1950097109813500843371813437

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 13, 2013 14:20:45 UTC 2013 年 10 月 13 日 (日) 23 時 20 分 45 秒 (日本時間)
4511e61200 / 4143Dmitry DomanovDecember 31, 2013 07:19:24 UTC 2013 年 12 月 31 日 (火) 16 時 19 分 24 秒 (日本時間)

5×10231+3

c149

name 名前Serge Batalov
date 日付May 24, 2014 19:58:00 UTC 2014 年 5 月 25 日 (日) 4 時 58 分 0 秒 (日本時間)
composite number 合成数
26197199433842232711749035750559879942226555987984662484055162647194457742978379757173943384072295664264909279630847207513540987781186894529752079503<149>
prime factors 素因数
87218596601040005194333434669588409753021969<44>
300362542562738897673349973863000909011000305788562796707628020034182891810425391347747783182512487497887<105>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=549904282
Step 1 took 33904ms
Step 2 took 19641ms
********** Factor found in step 2: 87218596601040005194333434669588409753021969
Found probable prime factor of 44 digits: 87218596601040005194333434669588409753021969
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 23, 2013 20:29:47 UTC 2013 年 9 月 24 日 (火) 5 時 29 分 47 秒 (日本時間)
403e61610110Ignacio SantosSeptember 23, 2013 20:29:47 UTC 2013 年 9 月 24 日 (火) 5 時 29 分 47 秒 (日本時間)
1500Dmitry DomanovOctober 13, 2013 14:20:54 UTC 2013 年 10 月 13 日 (日) 23 時 20 分 54 秒 (日本時間)
4511e62412 / 410532Ignacio SantosSeptember 23, 2013 20:29:47 UTC 2013 年 9 月 24 日 (火) 5 時 29 分 47 秒 (日本時間)
230Ignacio SantosOctober 7, 2013 18:12:48 UTC 2013 年 10 月 8 日 (火) 3 時 12 分 48 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:10:52 UTC 2013 年 11 月 9 日 (土) 2 時 10 分 52 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:24:56 UTC 2014 年 1 月 6 日 (月) 11 時 24 分 56 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:01:56 UTC 2014 年 5 月 25 日 (日) 4 時 1 分 56 秒 (日本時間)

5×10232+3

c233

name 名前Dmitry Domanov
date 日付October 22, 2013 10:48:49 UTC 2013 年 10 月 22 日 (火) 19 時 48 分 49 秒 (日本時間)
composite number 合成数
50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003<233>
prime factors 素因数
308582584527562187329336103907078627863<39>
162031179032833806245808529347473408708038493981295918565129973145374348214644858503647402419100494894794786890513964944750573572855960402496447283785699813528365305363530650010982070243212353781<195>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2189953707
Step 1 took 178746ms
Step 2 took 50881ms
********** Factor found in step 2: 308582584527562187329336103907078627863
Found probable prime factor of 39 digits: 308582584527562187329336103907078627863

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 25, 2013 16:00:50 UTC 2013 年 9 月 26 日 (木) 1 時 0 分 50 秒 (日本時間)
403e61610110Ignacio SantosSeptember 25, 2013 16:00:50 UTC 2013 年 9 月 26 日 (木) 1 時 0 分 50 秒 (日本時間)
1500Dmitry DomanovOctober 13, 2013 14:21:07 UTC 2013 年 10 月 13 日 (日) 23 時 21 分 7 秒 (日本時間)
4511e61532 / 410532Ignacio SantosSeptember 25, 2013 16:00:50 UTC 2013 年 9 月 26 日 (木) 1 時 0 分 50 秒 (日本時間)
1500Dmitry DomanovOctober 21, 2013 14:17:20 UTC 2013 年 10 月 21 日 (月) 23 時 17 分 20 秒 (日本時間)

5×10236+3

c235

name 名前Serge Batalov
date 日付May 25, 2014 02:43:32 UTC 2014 年 5 月 25 日 (日) 11 時 43 分 32 秒 (日本時間)
composite number 合成数
1278772378516624040920716112531969309462915601023017902813299232736572890025575447570332480818414322250639386189258312020460358056265984654731457800511508951406649616368286445012787723785166240409207161125319693094629156010230179028133<235>
prime factors 素因数
11901744954641140663996287394295984815223<41>
107444108690798387422090977647144507728467654070746079326120052348060658113724997347056764071693386164737381495044475781839987755651496911941312844647793076182616937602087075970391320375229375171<195>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=3752609157
Step 1 took 84190ms
********** Factor found in step 1: 11901744954641140663996287394295984815223
Found probable prime factor of 41 digits: 11901744954641140663996287394295984815223
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 25, 2013 17:45:48 UTC 2013 年 9 月 26 日 (木) 2 時 45 分 48 秒 (日本時間)
403e61610110Ignacio SantosSeptember 25, 2013 17:45:48 UTC 2013 年 9 月 26 日 (木) 2 時 45 分 48 秒 (日本時間)
1500Dmitry DomanovOctober 13, 2013 14:21:16 UTC 2013 年 10 月 13 日 (日) 23 時 21 分 16 秒 (日本時間)
4511e6448232Ignacio SantosSeptember 25, 2013 17:45:48 UTC 2013 年 9 月 26 日 (木) 2 時 45 分 48 秒 (日本時間)
1500Dmitry DomanovOctober 21, 2013 14:17:03 UTC 2013 年 10 月 21 日 (月) 23 時 17 分 3 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:16:55 UTC 2013 年 11 月 9 日 (土) 2 時 16 分 55 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:29:32 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 32 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:03 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 3 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:04:14 UTC 2014 年 5 月 25 日 (日) 4 時 4 分 14 秒 (日本時間)

5×10238+3

c203

name 名前Dmitry Domanov
date 日付December 2, 2013 05:21:28 UTC 2013 年 12 月 2 日 (月) 14 時 21 分 28 秒 (日本時間)
composite number 合成数
42051235415921223111409967337987275033011226007042998673674217240094370497117169889629708898086198711175485590170436512812056322383232695940526497712566183639930070730720934045845184618592353088307012097<203>
prime factors 素因数
509515108921569866993364071358122233675309<42>
composite cofactor 合成数の残り
82531871341217103648222115367913602173735317222927928461698933210872884272037610394152625557604667110095124837988617394172828227937744856618684678467418299444133<161>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2900030416
Step 1 took 110720ms
Step 2 took 37089ms
********** Factor found in step 2: 509515108921569866993364071358122233675309
Found probable prime factor of 42 digits: 509515108921569866993364071358122233675309

c161

name 名前yoyo@Home
date 日付March 8, 2021 19:33:32 UTC 2021 年 3 月 9 日 (火) 4 時 33 分 32 秒 (日本時間)
composite number 合成数
82531871341217103648222115367913602173735317222927928461698933210872884272037610394152625557604667110095124837988617394172828227937744856618684678467418299444133<161>
prime factors 素因数
222665312309563795345605568260935177958151037347585099<54>
370654371285617805217936344070120941421380482487230472914416281180425986027713696485633533850703093577007567<108>
factorization results 素因数分解の結果
GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 82531871341217103648222115367913602173735317222927928461698933210872884272037610394152625557604667110095124837988617394172828227937744856618684678467418299444133 (161 digits)
[Mon Mar 08 11:39:44 2021]
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=0:7966907552057014320
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35       40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+07 3.6e+08
Writing checkpoint to checkpnt at p = 110000000
Step 1 took 301109ms
Using 20 small primes for NTT
Estimated memory usage: 472.20MB
Initializing tables of differences for F took 203ms
Computing roots of F took 9828ms
Building F from its roots took 5047ms
Computing 1/F took 1985ms
Initializing table of differences for G took 171ms
Computing roots of G took 7844ms
Building G from its roots took 4735ms
Computing roots of G took 8078ms
Building G from its roots took 4812ms
Computing G * H took 1109ms
Reducing  G * H mod F took 1109ms
Computing roots of G took 7750ms
Building G from its roots took 4657ms
Computing G * H took 1094ms
Reducing  G * H mod F took 1093ms
Computing roots of G took 8188ms
Building G from its roots took 4891ms
Computing G * H took 1141ms
Reducing  G * H mod F took 1156ms
Computing polyeval(F,G) took 9734ms
Computing product of all F(g_i) took 63ms
Step 2 took 85234ms
********** Factor found in step 2: 222665312309563795345605568260935177958151037347585099
Found prime factor of 54 digits: 222665312309563795345605568260935177958151037347585099
Prime cofactor 370654371285617805217936344070120941421380482487230472914416281180425986027713696485633533850703093577007567 has 108 digits
Peak memory usage: 615MB
software ソフトウェア
GMP-ECM 7.0.5-dev

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 13, 2013 14:21:23 UTC 2013 年 10 月 13 日 (日) 23 時 21 分 23 秒 (日本時間)
4511e619001500Dmitry DomanovNovember 29, 2013 15:42:32 UTC 2013 年 11 月 30 日 (土) 0 時 42 分 32 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:26:36 UTC 2014 年 1 月 6 日 (月) 11 時 26 分 36 秒 (日本時間)
5043e6800 / 7070Erik BrangerMarch 15, 2014 11:46:40 UTC 2014 年 3 月 15 日 (土) 20 時 46 分 40 秒 (日本時間)

5×10239+3

c229

composite cofactor 合成数の残り
2061031176049834668597043723281727722184097885608001731467377501142402282526496576743155767970946809922965129616020481769434063468230954086204989041572279088149041549802141673018388853516265226269781130996553640663658673724491197<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 13, 2013 14:21:30 UTC 2013 年 10 月 13 日 (日) 23 時 21 分 30 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovOctober 21, 2013 14:16:46 UTC 2013 年 10 月 21 日 (月) 23 時 16 分 46 秒 (日本時間)

5×10240+3

c241

name 名前Serge Batalov
date 日付November 25, 2013 08:44:05 UTC 2013 年 11 月 25 日 (月) 17 時 44 分 5 秒 (日本時間)
composite number 合成数
5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003<241>
prime factors 素因数
4178609921944444452712054358442787954933849801748717<52>
1196570173669940400545161416178559766814638265431589628435757933023922053336192587542154752891917952849469012020247593094400875256157180191089301644659383670646424813528747540416355379562159<190>
factorization results 素因数分解の結果
Using B1=300000000, B2=3178599824416, polynomial Dickson(30), sigma=3274779239
Step 1 took 2282864ms
Step 2 took 459906ms
********** Factor found in step 2: 4178609921944444452712054358442787954933849801748717
Found probable prime factor of 52 digits: 4178609921944444452712054358442787954933849801748717
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 27, 2013 12:58:06 UTC 2013 年 9 月 27 日 (金) 21 時 58 分 6 秒 (日本時間)
403e61610110Ignacio SantosSeptember 27, 2013 12:58:06 UTC 2013 年 9 月 27 日 (金) 21 時 58 分 6 秒 (日本時間)
1500Dmitry DomanovOctober 13, 2013 14:21:38 UTC 2013 年 10 月 13 日 (日) 23 時 21 分 38 秒 (日本時間)
4511e6238232Ignacio SantosSeptember 27, 2013 12:58:06 UTC 2013 年 9 月 27 日 (金) 21 時 58 分 6 秒 (日本時間)
1500Dmitry DomanovOctober 21, 2013 14:16:27 UTC 2013 年 10 月 21 日 (月) 23 時 16 分 27 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:17:18 UTC 2013 年 11 月 9 日 (土) 2 時 17 分 18 秒 (日本時間)
5043e6775Serge BatalovNovember 25, 2013 02:17:33 UTC 2013 年 11 月 25 日 (月) 11 時 17 分 33 秒 (日本時間)
5511e7500 / 15006Serge BatalovNovember 25, 2013 07:29:46 UTC 2013 年 11 月 25 日 (月) 16 時 29 分 46 秒 (日本時間)
6026e71000 / 41698Serge BatalovNovember 25, 2013 08:26:37 UTC 2013 年 11 月 25 日 (月) 17 時 26 分 37 秒 (日本時間)

5×10241+3

c220

name 名前Dmitry Domanov
date 日付October 8, 2013 10:23:32 UTC 2013 年 10 月 8 日 (火) 19 時 23 分 32 秒 (日本時間)
composite number 合成数
4602155271036957683042728893046496283961059242715171576751971818332637133771787137389415235807551089722740593529973765805251928235010610149945226138253304965779105920361528857641724185816824634361820849292281235599455447<220>
prime factors 素因数
12293896486580428876810441464314315311<38>
374344722689059836623745727979425738549364706792610988604533796564713984291198831533349919966184303548280545604935863176392378175061218143152607303013284041306493085142951616840111577<183>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2977172208
Step 1 took 28748ms
Step 2 took 13812ms
********** Factor found in step 2: 12293896486580428876810441464314315311
Found probable prime factor of 38 digits: 12293896486580428876810441464314315311

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)

5×10243+3

c236

name 名前Dmitry Domanov
date 日付October 8, 2013 10:22:54 UTC 2013 年 10 月 8 日 (火) 19 時 22 分 54 秒 (日本時間)
composite number 合成数
10782132831938854576464312349003372851697501147774213159138977946490746019932545122476543432286652110082910870859649940849327105311763182062547096490986569316025678322144351095158375331232242110256783544907495909749390606251791572669021<236>
prime factors 素因数
1145258636211421356751360046522358193<37>
9414583301119425570254285626606207360420683884226907034872831491589081543212668927152422893568149785957215602156838287041022685270897452107102705947557595336687417032942644820987635215668807336985197<199>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3554824416
Step 1 took 47896ms
Step 2 took 10885ms
********** Factor found in step 2: 1145258636211421356751360046522358193
Found probable prime factor of 37 digits: 1145258636211421356751360046522358193

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)

5×10245+3

c197

composite cofactor 合成数の残り
14659539684968096175683150416601368434591303464865851447845048988902316582554710983990903546242968508363927792893586595470339014456936824852030759954460318760413704548271826950185833074068831856857<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 13, 2013 14:21:46 UTC 2013 年 10 月 13 日 (日) 23 時 21 分 46 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovDecember 3, 2013 07:16:38 UTC 2013 年 12 月 3 日 (火) 16 時 16 分 38 秒 (日本時間)

5×10247+3

c208

composite cofactor 合成数の残り
3822306926258840557417646125685068419720484865015480241051370957377959218210046722725758451215296425902018024539751211407825579196541023752915257779108496216510936259744060797842247205308356087176027054062973<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 13, 2013 14:21:53 UTC 2013 年 10 月 13 日 (日) 23 時 21 分 53 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 29, 2013 15:42:13 UTC 2013 年 11 月 30 日 (土) 0 時 42 分 13 秒 (日本時間)

5×10248+3

c209

composite cofactor 合成数の残り
17284737194885886520366096018451225318262721676769235384346522559162908084600674676567144012855095001967582406421854381318188362240910596177626076366929229174553554790294259586832650894162093943634400984250323<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 13, 2013 14:22:00 UTC 2013 年 10 月 13 日 (日) 23 時 22 分 0 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovOctober 31, 2013 13:17:36 UTC 2013 年 10 月 31 日 (木) 22 時 17 分 36 秒 (日本時間)

5×10250+3

c227

composite cofactor 合成数の残り
13080912816094396829349624401591815806037749803502601828778991199392989341349268336865995797060619125764491006645434141994332266676292444425551992744026007881270902542343728628812036538926160516173134141778458163397387611804181<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 11, 2013 11:22:43 UTC 2013 年 10 月 11 日 (金) 20 時 22 分 43 秒 (日本時間)
4511e62000Dmitry DomanovOctober 11, 2013 11:22:43 UTC 2013 年 10 月 11 日 (金) 20 時 22 分 43 秒 (日本時間)
5043e6600 / 7023Dmitry DomanovOctober 16, 2013 13:32:13 UTC 2013 年 10 月 16 日 (水) 22 時 32 分 13 秒 (日本時間)
5511e710 / 17418Dmitry DomanovOctober 21, 2013 14:15:39 UTC 2013 年 10 月 21 日 (月) 23 時 15 分 39 秒 (日本時間)

5×10251+3

c233

composite cofactor 合成数の残り
73828385270197861016555832345443505641236329677267805718091862758431010345797736978748511588049018491874710232076218402628063903290744777822597510541311130239441705371077337067468426245744110383962973141865013622313948371581252479317<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

5×10252+3

c248

composite cofactor 合成数の残り
10038487561310062780701208433132630505357540811471180506060234940762884900709319531082169036084347387885151671508563833738553614558216200914305447084120518066266064089719986427964817108795120491966198404683556756604822890963955806562360088579614241<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

5×10253+3

c161

composite cofactor 合成数の残り
85699311015700828469511177983888193750287158389859380726121241067351610878475116076031206317735402662953854076100405635437931457231918513802086504638651963937771<161>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e62000Dmitry DomanovApril 2, 2019 23:46:00 UTC 2019 年 4 月 3 日 (水) 8 時 46 分 0 秒 (日本時間)
5043e6600 / 6996Dmitry DomanovApril 7, 2019 00:00:22 UTC 2019 年 4 月 7 日 (日) 9 時 0 分 22 秒 (日本時間)

5×10255+3

c139

name 名前Eric Jeancolas
date 日付April 7, 2019 19:47:09 UTC 2019 年 4 月 8 日 (月) 4 時 47 分 9 秒 (日本時間)
composite number 合成数
1924635771198587418461433618582327342503069493883780634093398139301707293149451786323622386985444422434294693258382381559863804204773047561<139>
prime factors 素因数
11410845963422026582549326480565421785050498799062688567<56>
168667229175478561680452889274740844823646790529088332969710770532619750501464539583<84>
factorization results 素因数分解の結果
64219951*85669279*60315703109*309403337077026679*2961079053616021181*285410830833787530743407*29939912657118986388444011397251*11410845963422026582549326480565421785050498799062688567*168667229175478561680452889274740844823646790529088332969710770532619750501464539583

Info:root: Using default parameter file ./parameters/factor/params.c140
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.7i_thbem
Info:Database: Opened connection to database /tmp/cado.7i_thbem/c140.db
Info:root: Set tasks.threads=12 based on detected logical cpus
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/ng/cado-nfs-2.3.0
Info:root: Command line parameters: ./cado-nfs.py 1924635771198587418461433618582327342503069493883780634093398139301707293149451786323622386985444422434294693258382381559863804204773047561
Info:root: If this computation gets interrupted, it can be resumed with ./cado-nfs.py /tmp/cado.7i_thbem/c140.parameters_snapshot.0
Info:Server Launcher: Adding ng-All-Series to whitelist to allow clients on localhost to connect
Info:HTTP server: Using non-threaded HTTPS server
Info:HTTP server: Using whitelist: localhost,ng-All-Series
Info:Complete Factorization: Factoring 1924635771198587418461433618582327342503069493883780634093398139301707293149451786323622386985444422434294693258382381559863804204773047561
Info:HTTP server: serving at https://ng-All-Series:37509 (0.0.0.0)
Info:HTTP server: For debugging purposes, the URL above can be accessed if the server.only_registered=False parameter is added
Info:HTTP server: You can start additional cado-nfs-client.py scripts with parameters: --server=https://ng-All-Series:37509 --certsha1=59c48138e1142a427974acb1015276263250e93a
Info:HTTP server: If you want to start additional clients, remember to add their hosts to server.whitelist
Info:Client Launcher: Starting client id localhost on host localhost
Info:Client Launcher: Starting client id localhost+2 on host localhost
Info:Client Launcher: Starting client id localhost+3 on host localhost
Info:Client Launcher: Starting client id localhost+4 on host localhost
Info:Client Launcher: Starting client id localhost+5 on host localhost
Info:Client Launcher: Starting client id localhost+6 on host localhost
Info:Client Launcher: Running clients: localhost (Host localhost, PID 27848), localhost+2 (Host localhost, PID 27851), localhost+3 (Host localhost, PID 27854), localhost+4 (Host localhost, PID 27857), localhost+5 (Host localhost, PID 27860), localhost+6 (Host localhost, PID 27863)
Info:Polynomial Selection (size optimized): Starting
Info:Polynomial Selection (size optimized): 0 polynomials in queue from previous run
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_0-4000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_4000-8000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_8000-12000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_12000-16000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_16000-20000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_20000-24000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_24000-28000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_28000-32000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_32000-36000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_36000-40000 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_0-4000 to client localhost
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_4000-8000 to client localhost+2
Warning:HTTP server: 127.0.0.1 Connection error: [Errno 104] Connection reset by peer
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_8000-12000 to client localhost+3
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_12000-16000 to client localhost+4
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_16000-20000 to client localhost+5
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_20000-24000 to client localhost+6
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_40000-44000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_44000-48000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_48000-52000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_52000-56000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_56000-60000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_60000-64000 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_24000-28000 to client localhost
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_64000-68000 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_28000-32000 to client localhost+2
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_32000-36000 to client localhost+3
Info:Polynomial Selection (size optimized): Parsed 662 polynomials, added 265 to priority queue (has 100)
Info:Polynomial Selection (size optimized): Worst polynomial in queue now has lognorm 38.460000
Info:Polynomial Selection (size optimized): Marking workunit c140_polyselect1_0-4000 as ok (1.0% => ETA Unknown)
...EJ: many similar lines
Info:Polynomial Selection (size optimized): Marking workunit c140_polyselect1_392000-396000 as ok (99.0% => ETA Sat Apr  6 01:11:02 2019)
Info:Polynomial Selection (size optimized): Parsed 654 polynomials, added 0 to priority queue (has 100)
Info:Polynomial Selection (size optimized): Marking workunit c140_polyselect1_396000-400000 as ok (100.0% => ETA Sat Apr  6 01:10:24 2019)
Info:Polynomial Selection (size optimized): Finished
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 65655.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 65518/40.310/49.780/54.650/0.969
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 65518/39.920/44.485/50.550/1.186
Info:Polynomial Selection (size optimized): Total time: 48944.5
Info:Polynomial Selection (root optimized): Starting
Info:Polynomial Selection (root optimized): No polynomial was previously found
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_0 to database
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_6 to database
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_12 to database
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_18 to database
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_24 to database
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_30 to database
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_36 to database
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_42 to database
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_48 to database
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_54 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect2_0 to client localhost+3
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_60 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect2_6 to client localhost+5
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect2_12 to client localhost+4
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect2_18 to client localhost+2
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_66 to database
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_72 to database
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_78 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect2_24 to client localhost+6
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_84 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect2_30 to client localhost
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_90 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect2_36 to client localhost+2
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_96 to database
Info:Polynomial Selection (root optimized): New best polynomial from file /tmp/cado.7i_thbem/c140.upload/c140.polyselect2.4lf664hr.opt_18: Murphy E = 7.47e-10
Info:Polynomial Selection (root optimized): Marking workunit c140_polyselect2_18 as ok (4.0% => ETA Unknown)
...EJ: many similar lines
Info:Polynomial Selection (root optimized): Marking workunit c140_polyselect2_90 as ok (100.0% => ETA Sat Apr  6 01:20:21 2019)
Info:Polynomial Selection (root optimized): Finished, best polynomial from file /tmp/cado.7i_thbem/c140.upload/c140.polyselect2.0w1qfpa5.opt_96 has Murphy_E = 9.34e-10
Info:Polynomial Selection (root optimized): Best overall polynomial was 7-th in list after size optimization
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5940.98
Info:Polynomial Selection (root optimized): Rootsieve time: 5938.87
Info:Generate Factor Base: Starting
Info:Generate Factor Base: Finished
Info:Generate Factor Base: Total cpu/real time for makefb: 22.94/2.43781
Info:Generate Free Relations: Starting
Info:Generate Free Relations: Found 122913 free relations
Info:Generate Free Relations: Finished
Info:Generate Free Relations: Total cpu/real time for freerel: 286.31/25.3798
Info:Lattice Sieving: Starting
Info:Lattice Sieving: We want 25172582 relations
Info:Lattice Sieving: Adding workunit c140_sieving_10122724-10130000 to database
Info:Lattice Sieving: Adding workunit c140_sieving_10130000-10140000 to database
Info:Lattice Sieving: Adding workunit c140_sieving_10140000-10150000 to database
Info:Lattice Sieving: Adding workunit c140_sieving_10150000-10160000 to database
Info:Lattice Sieving: Adding workunit c140_sieving_10160000-10170000 to database
Info:Lattice Sieving: Adding workunit c140_sieving_10170000-10180000 to database
Info:Lattice Sieving: Adding workunit c140_sieving_10180000-10190000 to database
Info:Lattice Sieving: Adding workunit c140_sieving_10190000-10200000 to database
Info:Lattice Sieving: Adding workunit c140_sieving_10200000-10210000 to database
Info:Lattice Sieving: Adding workunit c140_sieving_10210000-10220000 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_10122724-10130000 to client localhost+6
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_10130000-10140000 to client localhost+4
Info:Lattice Sieving: Adding workunit c140_sieving_10220000-10230000 to database
Info:Lattice Sieving: Adding workunit c140_sieving_10230000-10240000 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_10140000-10150000 to client localhost+5
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_10150000-10160000 to client localhost
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_10160000-10170000 to client localhost+2
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_10170000-10180000 to client localhost+3
Info:Lattice Sieving: Adding workunit c140_sieving_10240000-10250000 to database
Info:Lattice Sieving: Adding workunit c140_sieving_10250000-10260000 to database
Info:Lattice Sieving: Adding workunit c140_sieving_10260000-10270000 to database
Info:Lattice Sieving: Adding workunit c140_sieving_10270000-10280000 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_10180000-10190000 to client localhost+6
Info:Lattice Sieving: Adding workunit c140_sieving_10280000-10290000 to database
Info:Lattice Sieving: Found 17581 relations in '/tmp/cado.7i_thbem/c140.upload/c140.10122724-10130000.7eo5gkc0.gz', total is now 17581/25172582
Info:Lattice Sieving: Marking workunit c140_sieving_10122724-10130000 as ok (0.1% => ETA Unknown)
...EJ: many similar lines
Info:Lattice Sieving: Marking workunit c140_sieving_22990000-23000000 as ok (99.9% => ETA Sun Apr  7 12:01:20 2019)
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_23060000-23070000 to client localhost+3
Info:Lattice Sieving: Adding workunit c140_sieving_23160000-23170000 to database
Info:Lattice Sieving: Found 17291 relations in '/tmp/cado.7i_thbem/c140.upload/c140.23010000-23020000.p8vcavs2.gz', total is now 25175049/25172582
Info:Lattice Sieving: Marking workunit c140_sieving_23010000-23020000 as ok (100.0% => ETA Sun Apr  7 12:03:30 2019)
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_23070000-23080000 to client localhost
Info:Lattice Sieving: Adding workunit c140_sieving_23170000-23180000 to database
Info:Lattice Sieving: Reached target of 25172582 relations, now have 25175049
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25175049
Info:Lattice Sieving: Average J: 3806.41 for 775005 special-q, max bucket fill: 0.630473
Info:Lattice Sieving: Total CPU time: 1.44483e+06s
Info:Filtering - Duplicate Removal, splitting pass: Starting
Info:Filtering - Duplicate Removal, splitting pass: Splitting 1289 new files
Info:Filtering - Duplicate Removal, splitting pass: Relations per slice: 0: 12585736, 1: 12589313
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 117.25/214.664
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 214.4s
Info:Filtering - Duplicate Removal, removal pass: Starting
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_23080000-23090000 to client localhost+2
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_23090000-23100000 to client localhost+4
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_23100000-23110000 to client localhost+5
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_23110000-23120000 to client localhost+6
Info:Filtering - Duplicate Removal, removal pass: 10621569 unique relations remain on slice 0
Info:Filtering - Duplicate Removal, removal pass: 10623397 unique relations remain on slice 1
Info:Filtering - Duplicate Removal, removal pass: Of 25175049 newly added relations 21244966 were unique (ratio 0.843890)
Info:Filtering - Duplicate Removal, removal pass: 21244966 unique relations remain in total
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 496.24/334.169
Info:Filtering - Singleton removal: Starting
Info:Filtering - Singleton removal: Reading 21244966 unique and 122913 free relations, total 21367879
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_23120000-23130000 to client localhost+3
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_23130000-23140000 to client localhost
Info:Filtering - Singleton removal: After purge, 7786865 relations with 7786705 primes remain with weight 147966676 and excess 160
Info:Filtering - Singleton removal: Have enough relations
Info:HTTP server: Got notification to stop serving Workunits
Info:Lattice Sieving: Cancelling remaining workunits
Info:Client Launcher: Stopped client localhost (Host localhost, PID 27848)
Info:Client Launcher: Stopped client localhost+2 (Host localhost, PID 27851)
Info:Client Launcher: Stopped client localhost+3 (Host localhost, PID 27854)
Info:Client Launcher: Stopped client localhost+4 (Host localhost, PID 27857)
Info:Client Launcher: Stopped client localhost+5 (Host localhost, PID 27860)
Info:Client Launcher: Stopped client localhost+6 (Host localhost, PID 27863)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 266.35/225.888
Info:Filtering - Merging: Starting
Info:Filtering - Merging: Merged matrix has 1963158 rows and total weight 333736997 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 979.22/886.91
Info:Filtering - Merging: Total cpu/real time for replay: 75.84/59.1969
Info:Linear Algebra: Starting
Info:Linear Algebra: krylov: N=1000 ; ETA (N=62000): Sun Apr  7 16:03:16 2019 [0.200 s/iter]
Info:Linear Algebra: krylov: N=2000 ; ETA (N=62000): Sun Apr  7 16:05:35 2019 [0.203 s/iter]
...EJ: many siumilar lines
Info:Linear Algebra: krylov: N=61000 ; ETA (N=62000): Sun Apr  7 16:13:13 2019 [0.210 s/iter]
Info:Linear Algebra: krylov: N=62000 ; ETA (N=62000): Sun Apr  7 16:13:15 2019 [0.210 s/iter]
Info:Linear Algebra: lingen ETA: Sun Apr  7 16:13:33 2019
Info:Linear Algebra: lingen ETA: Sun Apr  7 16:22:00 2019
...EJ: many siumilar lines
Info:Linear Algebra: lingen ETA: Sun Apr  7 16:14:47 2019
Info:Linear Algebra: lingen ETA: Sun Apr  7 16:14:42 2019
Info:Linear Algebra: lingen ETA: Sun Apr  7 16:14:38 2019
Info:Linear Algebra: mksol: N=1000 ; ETA (N=31000): Sun Apr  7 18:10:54 2019 [0.225 s/iter]
Info:Linear Algebra: mksol: N=2000 ; ETA (N=31000): Sun Apr  7 18:11:38 2019 [0.226 s/iter]
...EJ: many siumilar lines
Info:Linear Algebra: mksol: N=30000 ; ETA (N=31000): Sun Apr  7 18:13:06 2019 [0.229 s/iter]
Info:Linear Algebra: mksol: N=31000 ; ETA (N=31000): Sun Apr  7 18:13:02 2019 [0.229 s/iter]
Info:Linear Algebra: Total cpu/real time for bwc: 217235/0.000221729
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 13028.49
Info:Linear Algebra: Lingen CPU time 713.07, WCT time 83.03
Info:Linear Algebra: Mksol: WCT time 7104.36
Info:Quadratic Characters: Starting
Info:Quadratic Characters: Total cpu/real time for characters: 78.19/18.3408
Info:Square Root: Starting
Info:Square Root: Creating file of (a,b) values
Info:Square Root: finished
Info:Square Root: Factors: 11410845963422026582549326480565421785050498799062688567 168667229175478561680452889274740844823646790529088332969710770532619750501464539583
Info:Square Root: Total cpu/real time for sqrt: 4575.55/676.634
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 65655.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 65518/40.310/49.780/54.650/0.969
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 65518/39.920/44.485/50.550/1.186
Info:Polynomial Selection (size optimized): Total time: 48944.5
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5940.98
Info:Polynomial Selection (root optimized): Rootsieve time: 5938.87
Info:Generate Factor Base: Total cpu/real time for makefb: 22.94/2.43781
Info:Generate Free Relations: Total cpu/real time for freerel: 286.31/25.3798
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25175049
Info:Lattice Sieving: Average J: 3806.41 for 775005 special-q, max bucket fill: 0.630473
Info:Lattice Sieving: Total CPU time: 1.44483e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 117.25/214.664
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 214.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 496.24/334.169
Info:Filtering - Singleton removal: Total cpu/real time for purge: 266.35/225.888
Info:Filtering - Merging: Total cpu/real time for merge: 979.22/886.91
Info:Filtering - Merging: Total cpu/real time for replay: 75.84/59.1969
Info:Linear Algebra: Total cpu/real time for bwc: 217235/0.000221729
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 13028.49
Info:Linear Algebra: Lingen CPU time 713.07, WCT time 83.03
Info:Linear Algebra: Mksol: WCT time 7104.36
Info:Quadratic Characters: Total cpu/real time for characters: 78.19/18.3408
Info:Square Root: Total cpu/real time for sqrt: 4575.55/676.634
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 1.72385e+06/152629
Info:root: Cleaning up computation data in /tmp/cado.7i_thbem
11410845963422026582549326480565421785050498799062688567 168667229175478561680452889274740844823646790529088332969710770532619750501464539583
software ソフトウェア
cado-nfs-2.3.0
execution environment 実行環境
Linux Ubuntu 18.04 LTS 
GenuineIntel Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz [Family 6 Model 63 Stepping 2] (12 processors) 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

5×10256+3

c189

composite cofactor 合成数の残り
509676770601793726449272700976568008482691312882655146461596183146600102322944934295330876527270003576909618554427413564941629634040723114267698123143103629243360553871599850931727400886657<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

5×10257+3

c212

composite cofactor 合成数の残り
11330355627939267494083750866770463938634692181291478777885030083369530198453089185191638774412943661569141294913361339323653035741359351279909399797958532472687409041697997553743554901393541003022451209930622287<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

5×10258+3

c233

composite cofactor 合成数の残り
86422540239033778362026898174727405109909090059011196528034049470584013357236390136376807581820892576316647313163788360144867826052835831349582811390576525776462123740240433069838818085823489904069032644828270008501328997808981251933<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

5×10260+3

c261

composite cofactor 合成数の残り
500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003<261>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e62000Dmitry DomanovApril 2, 2019 08:56:50 UTC 2019 年 4 月 2 日 (火) 17 時 56 分 50 秒 (日本時間)
5043e650002000Dmitry DomanovApril 22, 2019 16:37:27 UTC 2019 年 4 月 23 日 (火) 1 時 37 分 27 秒 (日本時間)
3000Dmitry DomanovJune 26, 2019 00:12:05 UTC 2019 年 6 月 26 日 (水) 9 時 12 分 5 秒 (日本時間)
5511e71000 / 15837Dmitry DomanovSeptember 7, 2019 21:50:11 UTC 2019 年 9 月 8 日 (日) 6 時 50 分 11 秒 (日本時間)

5×10262+3

c225

composite cofactor 合成数の残り
249080160188825826295727286032931905044457495784512489949982476011625578025835637377535956690666866656221874513739044495973406750585912495635883298693024323598228611677219463000892718116450750792059031183859071397631166110621<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

5×10264+3

c227

composite cofactor 合成数の残り
81326565414737395260936475012094407048068207728205178791721473667554883232309429209603602423229705213479532719203052275948020007373532052339666864242381332203972411628300373337991735310465563986281880102728974074029424624097811<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

5×10266+3

c241

composite cofactor 合成数の残り
2949362857465154653074268655000794309064006251786543447115709378911614344069817794683879752567747110016850056349314779862469165546654535559282998947056751996998736236084349896300261535192718840746713019030817457334167573972887010901073820579<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

5×10268+3

c210

composite cofactor 合成数の残り
775378909615808600341354015142748248428858479002415465432940948799958757640843709322825182703156997785298457579266127144539879330911525215571559468006099592830198141664261004639105161817520107181809503435881297<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

5×10269+3

c232

composite cofactor 合成数の残り
1141387752771489239146485857765761481696256809715670469245407260141777671360156843159363701973616796781728141174996584238238435660076423613700902495409003307274568269879190202374851846032969776646991279699129644293078644996610199171<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

5×10270+3

c252

composite cofactor 合成数の残り
210195816178517453788357707609543117254586239728170675643901048474680160549642190100604245272813488050811847740983583654090901939076669375582078797019537602652949944536070588523550140762061807090321422081022451770254863048426157654397822994074017423477<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

5×10271+3

c257

composite cofactor 合成数の残り
26446812402330370245992943045476093354933853208069641583969046978137250423876624282870778063097687884512984949958043633668955247997524166793280252621847329250689675264118394417571275755197154360976983221222788950008290313621089006117911389368177471486458177<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

5×10272+3

c273

composite cofactor 合成数の残り
500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003<273>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e62000Dmitry DomanovApril 2, 2019 22:15:55 UTC 2019 年 4 月 3 日 (水) 7 時 15 分 55 秒 (日本時間)
5043e650002000Dmitry DomanovApril 26, 2019 04:21:02 UTC 2019 年 4 月 26 日 (金) 13 時 21 分 2 秒 (日本時間)
3000Dmitry DomanovJune 17, 2019 23:14:44 UTC 2019 年 6 月 18 日 (火) 8 時 14 分 44 秒 (日本時間)
5511e7828 / 15837Dmitry DomanovJuly 21, 2020 18:25:17 UTC 2020 年 7 月 22 日 (水) 3 時 25 分 17 秒 (日本時間)

5×10273+3

c255

composite cofactor 合成数の残り
819816687463435732283747800258469021107405227583600069843133853061388103888538528967354426774355289928153175931286166752889640082044268464297364507363090779820041708422131932290002561728215136621980405566864037110619578347073157048823487976763154646905099<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

5×10274+3

c260

composite cofactor 合成数の残り
51830069340344427538875381019502380813936249376099472558008915018307509686675394033382430330221858763349229673537738225332165269786634707344107649908759115062617331849296610024768751002615079298892738922566460639259365965823103711002830565349526631450488854087<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

5×10275+3

c241

composite cofactor 合成数の残り
2822676957380527448609853591865909875625755280707657079633621825584495477962831845144452458432779135239971981580824711222041028153908860156371336228750546191063062889129966465802988866860231265926871288034846835498251810413234195344207014967<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

5×10276+3

c215

composite cofactor 合成数の残り
10503809391722905585245358113431834295075274569783231434186736227821715340311196815819636909115923329367065055298880633601740012142241367814041358307717779815327040875062136191781903096821007580598996634768045715777<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

5×10277+3

c227

composite cofactor 合成数の残り
75820902518254837293964658845126720920833116489011002400324793394013847297357459834673000850893755394221967544062674383640987114056724351690367338124247043720949030991144895175848137162416539304434001588949504242317526596740827<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

5×10278+3

c223

composite cofactor 合成数の残り
1525835713613755684448793455238981584224402649790661491027835660553828213869471875831310266896770275168979156722953047279064129453868885395218138950668143676989650125652893301570320334423804333486552228235912038726841480997<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

5×10279+3

c258

composite cofactor 合成数の残り
311047343360792671213210358845317847321530505977066934731937211858794759878213993552736000273590829109198847495137142421255132535116806983359634430291586798260460161163029949137519182672724565578886258537110942449242875015452765313391891497787456328685045649<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

5×10280+3

c250

composite cofactor 合成数の残り
5357478755471319921342535915404615602997277654318440603220980659688987202335307479999379793254531479088876368782046504524113449051787096873831509008299088467102192892131851650605047687875306985735763047004181189549001022688985071236362722149327127161<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

5×10283+3

c234

composite cofactor 合成数の残り
684376625566335014846945448968444552684022452531532908778208975053909226021686225249952547972405808159199920570421418637115130541852473353373894264219016180630630409491629386848827073966639643450009305413676130002024561445149389711047<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

5×10284+3

c211

composite cofactor 合成数の残り
6151017022044044900106450873070265050506929372104852307540580832638721754801028219104714650737625027874971188875904770540768464689135769893816939286595103841138668208621168727188083435574366244221929632853983719<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

5×10285+3

c235

composite cofactor 合成数の残り
7336603371493495346252295316135468119771276923493962717476332730308732730864558873827947203174065107310979244673372576588023884426581241672620372598811093024089729901900124559453061399428653389818913239296533891171355302110881688849277<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

5×10286+3

c254

composite cofactor 合成数の残り
25812549005168179354987786671962382615643037833558957636433445077542349071685513587298729094172711970180791183117792308251006175700274418140815487665556336652914320340454288106698340511888485788973230724364174257720171631684266948285254841390389525514973<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

5×10287+3

c231

composite cofactor 合成数の残り
152790276564014387229686857214787901355775917561394317101803572019059965983496685464413553678907237368341716853275000339842987286958002211840066246991786895705474718474845029966514044478668528758545317911435635435289709304004961513<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

5×10288+3

c233

composite cofactor 合成数の残り
12147934779807229492681342375017439569852377215889408269451163835700523714203299959163758700129420671101550592497452572754414343089327834874610052569575606957869733084701360656093988160185914852260112178360154490652009118129579893567<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

5×10289+3

c243

composite cofactor 合成数の残り
313385618793334186287657547969195310022502884981254148638130159325732063642694780025609380928484557771686905419916515047640220673674187972763048710965701307530991381415566152510770493720737029336115637060019917279313818129597838947758685079613<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

5×10291+3

c260

composite cofactor 合成数の残り
13461774894914801780313627456389109701336835747276144595429665534007130187487980208981694178161975127613462011999357581224556811685189035973720270950837801465762364629760755011838073686726347734992725967065655263923248396438501453213200290059028181798708481289<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

5×10292+3

c273

composite cofactor 合成数の残り
350588170332734593649114298749629914786360187917885056161143131581655179929416595180051250156721345824342386257313074903068662711001515618438895262758304032692312455525039390267410499070844881109192414482707291702404494087976379731841773642086897755092822839433442749689349<273>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

5×10293+3

c249

composite cofactor 合成数の残り
574456996075789561096056830017396381353127804393511259050840812847082810126198628665446817536848838551731449214190974937274964427193891457853956124094415333579484836565283875786773496015888710455547160625629541760408870891169636188319584589222102259<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

5×10298+3

c285

composite cofactor 合成数の残り
226553923905548655345479751130217948927753994678691301812259439784454442344929272247111455306911358999002126080213449705062317893616480262519409842367213701689391632938571535129018885377076233799150906396660653010784734793581079998152410943014105742206510871805334259690568482241907211<285>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

5×10299+3

c267

composite cofactor 合成数の残り
158894753043279200699305765590841865265449425867444722265894572489229460677744429290221867541797309584192622932188635953621802635192799337919059872017428827645624996250730520078447131825223809526463917403325364786483317716523829098247727731345950498541544019797592859<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

5×10300+3

c275

composite cofactor 合成数の残り
31600724448981910791648270429674838975438821836402889828692387133136019646138714812662451717236825157574718013786206052723511588397629087450005774623968378560818018482497693943990850023379047475246132082243360366959218202308180177080878973165675663828316456871417899139866599<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e62000Dmitry DomanovApril 1, 2019 19:13:23 UTC 2019 年 4 月 2 日 (火) 4 時 13 分 23 秒 (日本時間)
5043e6528 / 6996Dmitry DomanovApril 3, 2019 21:29:31 UTC 2019 年 4 月 4 日 (木) 6 時 29 分 31 秒 (日本時間)