Table of contents 目次

5×10109+73

c107

name 名前Sinkiti Sibata
date 日付September 26, 2007 06:25:39 UTC 2007 年 9 月 26 日 (水) 15 時 25 分 39 秒 (日本時間)
composite number 合成数
46168051708217913204062788550323176361957525392428439519852262234533702677746999076638965835641735918744229<107>
prime factors 素因数
153946522305899923004676383646159813796121<42>
299896685009093874497686190587633018428192207232800575636015338349<66>
factorization results 素因数分解の結果
Number: 16669_109
N=46168051708217913204062788550323176361957525392428439519852262234533702677746999076638965835641735918744229
  ( 107 digits)
SNFS difficulty: 110 digits.
Divisors found:
 r1=153946522305899923004676383646159813796121 (pp42)
 r2=299896685009093874497686190587633018428192207232800575636015338349 (pp66)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 1.17 hours.
Scaled time: 0.79 units (timescale=0.677).
Factorization parameters were as follows:
name: 16669_109
n: 46168051708217913204062788550323176361957525392428439519852262234533702677746999076638965835641735918744229
m: 10000000000000000000000
c5: 1
c0: 14
skew: 1.7
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 450001)
Primes: RFBsize:49098, AFBsize:63623, largePrimes:1899503 encountered
Relations: rels:1884233, finalFF:172922
Max relations in full relation-set: 28
Initial matrix: 112785 x 172922 with sparse part having weight 11280001.
Pruned matrix : 87896 x 88523 with weight 3680813.
Total sieving time: 1.01 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,110,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.17 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

5×10113+73

c112

name 名前Jo Yeong Uk
date 日付September 26, 2007 05:52:44 UTC 2007 年 9 月 26 日 (水) 14 時 52 分 44 秒 (日本時間)
composite number 合成数
1199040767386091127098321342925659472422062350119904076738609112709832134292565947242206235011990407673860911271<112>
prime factors 素因数
33323707073076001771345428051913373104674894761352370801<56>
35981614073029109077263780581405124329331786404763064471<56>
factorization results 素因数分解の結果
Number: 16669_113
N=1199040767386091127098321342925659472422062350119904076738609112709832134292565947242206235011990407673860911271
  ( 112 digits)
SNFS difficulty: 115 digits.
Divisors found:
 r1=33323707073076001771345428051913373104674894761352370801 (pp56)
 r2=35981614073029109077263780581405124329331786404763064471 (pp56)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.70 hours.
Scaled time: 1.50 units (timescale=2.143).
Factorization parameters were as follows:
n: 1199040767386091127098321342925659472422062350119904076738609112709832134292565947242206235011990407673860911271
m: 100000000000000000000000
c5: 1
c0: 140
skew: 2.69
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, 340001)
Primes: RFBsize:30757, AFBsize:30764, largePrimes:1046995 encountered
Relations: rels:964799, finalFF:87555
Max relations in full relation-set: 28
Initial matrix: 61585 x 87555 with sparse part having weight 4230236.
Pruned matrix : 54927 x 55298 with weight 1881639.
Total sieving time: 0.67 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: 0.70 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2115k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.34 BogoMIPS (lpj=2407674)
Calibrating delay using timer specific routine.. 4684.13 BogoMIPS (lpj=2342066)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405119)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Total of 4 processors activated (19119.96 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

5×10115+73

c102

name 名前Sinkiti Sibata
date 日付September 26, 2007 08:19:08 UTC 2007 年 9 月 26 日 (水) 17 時 19 分 8 秒 (日本時間)
composite number 合成数
159130382883196664131166647978403378748111484644347405870264581612954267174235629404567704102325716443<102>
prime factors 素因数
296398376609473226797596655124462993281<39>
536880075739627642112309347769656425847569291133442846496928603<63>
factorization results 素因数分解の結果
Number: 16669_115
N=159130382883196664131166647978403378748111484644347405870264581612954267174235629404567704102325716443
  ( 102 digits)
SNFS difficulty: 115 digits.
Divisors found:
 r1=296398376609473226797596655124462993281 (pp39)
 r2=536880075739627642112309347769656425847569291133442846496928603 (pp63)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 1.63 hours.
Scaled time: 1.10 units (timescale=0.677).
Factorization parameters were as follows:
name: 16669_115
n: 159130382883196664131166647978403378748111484644347405870264581612954267174235629404567704102325716443
m: 100000000000000000000000
c5: 5
c0: 7
skew: 1.07
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 500001)
Primes: RFBsize:49098, AFBsize:64228, largePrimes:2093547 encountered
Relations: rels:2213778, finalFF:271300
Max relations in full relation-set: 28
Initial matrix: 113391 x 271300 with sparse part having weight 21663794.
Pruned matrix : 76323 x 76953 with weight 4050572.
Total sieving time: 1.45 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,115,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.63 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

5×10116+73

c116

name 名前Jo Yeong Uk
date 日付September 26, 2007 09:30:40 UTC 2007 年 9 月 26 日 (水) 18 時 30 分 40 秒 (日本時間)
composite number 合成数
12820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820513<116>
prime factors 素因数
31003216721782548975602081797253<32>
413522020491030430690268175769186538084881606692266956654906116015314098195825309421<84>
factorization results 素因数分解の結果
Number: 16669_116
N=12820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820513
  ( 116 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=31003216721782548975602081797253 (pp32)
 r2=413522020491030430690268175769186538084881606692266956654906116015314098195825309421 (pp84)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.84 hours.
Scaled time: 1.79 units (timescale=2.139).
Factorization parameters were as follows:
n: 12820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820513
m: 100000000000000000000000
c5: 50
c0: 7
skew: 0.67
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:49041, largePrimes:1943562 encountered
Relations: rels:1936531, finalFF:147809
Max relations in full relation-set: 28
Initial matrix: 98204 x 147809 with sparse part having weight 12274062.
Pruned matrix : 85193 x 85748 with weight 4983589.
Total sieving time: 0.78 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,116,5,0,0,0,0,0,0,0,0,600000,600000,25,25,46,46,2.4,2.4,30000
total time: 0.84 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2115k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.34 BogoMIPS (lpj=2407674)
Calibrating delay using timer specific routine.. 4684.13 BogoMIPS (lpj=2342066)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405119)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Total of 4 processors activated (19119.96 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

5×10117+73

c108

name 名前Jo Yeong Uk
date 日付September 26, 2007 10:24:02 UTC 2007 年 9 月 26 日 (水) 19 時 24 分 2 秒 (日本時間)
composite number 合成数
410368854757085343761438229042281635409146357321018036623580685567761868529348166730485220151100269610261109<108>
prime factors 素因数
516041832369522017710254534990233044032515687357<48>
795224009016448425092100987054725056223874009925853849747737<60>
factorization results 素因数分解の結果
Number: 16669_117
N=410368854757085343761438229042281635409146357321018036623580685567761868529348166730485220151100269610261109
  ( 108 digits)
SNFS difficulty: 119 digits.
Divisors found:
 r1=516041832369522017710254534990233044032515687357 (pp48)
 r2=795224009016448425092100987054725056223874009925853849747737 (pp60)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.79 hours.
Scaled time: 1.67 units (timescale=2.113).
Factorization parameters were as follows:
n: 410368854757085343761438229042281635409146357321018036623580685567761868529348166730485220151100269610261109
m: 500000000000000000000000
c5: 4
c0: 175
skew: 2.13
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:49096, largePrimes:1978458 encountered
Relations: rels:2032316, finalFF:203074
Max relations in full relation-set: 28
Initial matrix: 98258 x 203074 with sparse part having weight 16906655.
Pruned matrix : 75540 x 76095 with weight 4051422.
Total sieving time: 0.74 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,119,5,0,0,0,0,0,0,0,0,600000,600000,25,25,46,46,2.4,2.4,30000
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: 8167512k/8912896k available (2115k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.34 BogoMIPS (lpj=2407674)
Calibrating delay using timer specific routine.. 4684.13 BogoMIPS (lpj=2342066)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405119)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Total of 4 processors activated (19119.96 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

5×10119+73

c108

name 名前Jo Yeong Uk
date 日付September 26, 2007 11:19:48 UTC 2007 年 9 月 26 日 (水) 20 時 19 分 48 秒 (日本時間)
composite number 合成数
928765985247894944730399218898130893992433011358033499769124983962581877754703244378693651035712215324874081<108>
prime factors 素因数
25753449757830406639991914695740623420290006566179<50>
36063750448248243471048952703868375635140956097798086208939<59>
factorization results 素因数分解の結果
Number: 16669_119
N=928765985247894944730399218898130893992433011358033499769124983962581877754703244378693651035712215324874081
  ( 108 digits)
SNFS difficulty: 120 digits.
Divisors found:
 r1=25753449757830406639991914695740623420290006566179 (pp50)
 r2=36063750448248243471048952703868375635140956097798086208939 (pp59)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.78 hours.
Scaled time: 1.67 units (timescale=2.129).
Factorization parameters were as follows:
n: 928765985247894944730399218898130893992433011358033499769124983962581877754703244378693651035712215324874081
m: 1000000000000000000000000
c5: 1
c0: 14
skew: 1.7
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:48926, largePrimes:1974603 encountered
Relations: rels:2025360, finalFF:198858
Max relations in full relation-set: 28
Initial matrix: 98088 x 198858 with sparse part having weight 16755508.
Pruned matrix : 76604 x 77158 with weight 4195384.
Total sieving time: 0.73 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,120,5,0,0,0,0,0,0,0,0,600000,600000,25,25,46,46,2.4,2.4,30000
total time: 0.78 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: 8167512k/8912896k available (2115k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.34 BogoMIPS (lpj=2407674)
Calibrating delay using timer specific routine.. 4684.13 BogoMIPS (lpj=2342066)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405119)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Total of 4 processors activated (19119.96 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

5×10120+73

c88

name 名前Sinkiti Sibata
date 日付September 26, 2007 10:28:55 UTC 2007 年 9 月 26 日 (水) 19 時 28 分 55 秒 (日本時間)
composite number 合成数
7919463471679591443105528414604368703900563230510077999800695379563554517322213551577769<88>
prime factors 素因数
2003771457999863638436035664075387<34>
3952278809073709433995319843828553332517951348922169387<55>
factorization results 素因数分解の結果
Wed Sep 26 14:24:28 2007  Msieve v. 1.26
Wed Sep 26 14:24:28 2007  random seeds: 5143490f 0701fb59
Wed Sep 26 14:24:28 2007  factoring 7919463471679591443105528414604368703900563230510077999800695379563554517322213551577769 (88 digits)
Wed Sep 26 14:24:29 2007  commencing quadratic sieve (88-digit input)
Wed Sep 26 14:24:30 2007  using multiplier of 1
Wed Sep 26 14:24:30 2007  using 64kb Pentium 2 sieve core
Wed Sep 26 14:24:30 2007  sieve interval: 14 blocks of size 65536
Wed Sep 26 14:24:30 2007  processing polynomials in batches of 8
Wed Sep 26 14:24:30 2007  using a sieve bound of 1527497 (57880 primes)
Wed Sep 26 14:24:30 2007  using large prime bound of 122199760 (26 bits)
Wed Sep 26 14:24:30 2007  using double large prime bound of 360351695070240 (42-49 bits)
Wed Sep 26 14:24:30 2007  using trial factoring cutoff of 49 bits
Wed Sep 26 14:24:30 2007  polynomial 'A' values have 11 factors
Wed Sep 26 19:19:22 2007  58229 relations (16203 full + 42026 combined from 608880 partial), need 57976
Wed Sep 26 19:19:29 2007  begin with 625083 relations
Wed Sep 26 19:19:47 2007  reduce to 139473 relations in 10 passes
Wed Sep 26 19:19:48 2007  attempting to read 139473 relations
Wed Sep 26 19:19:56 2007  recovered 139473 relations
Wed Sep 26 19:19:56 2007  recovered 112269 polynomials
Wed Sep 26 19:20:15 2007  attempting to build 58229 cycles
Wed Sep 26 19:20:15 2007  found 58229 cycles in 5 passes
Wed Sep 26 19:20:17 2007  distribution of cycle lengths:
Wed Sep 26 19:20:17 2007     length 1 : 16203
Wed Sep 26 19:20:17 2007     length 2 : 11462
Wed Sep 26 19:20:17 2007     length 3 : 10350
Wed Sep 26 19:20:17 2007     length 4 : 7641
Wed Sep 26 19:20:17 2007     length 5 : 5205
Wed Sep 26 19:20:17 2007     length 6 : 3172
Wed Sep 26 19:20:17 2007     length 7 : 1903
Wed Sep 26 19:20:17 2007     length 9+: 2293
Wed Sep 26 19:20:17 2007  largest cycle: 18 relations
Wed Sep 26 19:20:18 2007  matrix is 57880 x 58229 with weight 3346646 (avg 57.47/col)
Wed Sep 26 19:20:22 2007  filtering completed in 3 passes
Wed Sep 26 19:20:22 2007  matrix is 53415 x 53479 with weight 3096508 (avg 57.90/col)
Wed Sep 26 19:20:24 2007  saving the first 48 matrix rows for later
Wed Sep 26 19:20:24 2007  matrix is 53367 x 53479 with weight 2483927 (avg 46.45/col)
Wed Sep 26 19:20:24 2007  matrix includes 64 packed rows
Wed Sep 26 19:20:24 2007  using block size 10922 for processor cache size 256 kB
Wed Sep 26 19:20:24 2007  commencing Lanczos iteration
Wed Sep 26 19:23:14 2007  lanczos halted after 845 iterations
Wed Sep 26 19:23:15 2007  recovered 16 nontrivial dependencies
Wed Sep 26 19:23:35 2007  prp34 factor: 2003771457999863638436035664075387
Wed Sep 26 19:23:35 2007  prp55 factor: 3952278809073709433995319843828553332517951348922169387
Wed Sep 26 19:23:35 2007  elapsed time 04:59:07
execution environment 実行環境
Pentium3  750MHz,  Windows Me)

5×10121+73

c110

name 名前Sinkiti Sibata
date 日付September 26, 2007 11:10:06 UTC 2007 年 9 月 26 日 (水) 20 時 10 分 6 秒 (日本時間)
composite number 合成数
88555365564793051234214008584940727814733466817154162992301027014493685329128418132245529605674917232827919561<110>
prime factors 素因数
275708725429269016809228525155998997753<39>
321191741127943587251282728962673310095889920760636481110578718074425937<72>
factorization results 素因数分解の結果
Number: 16669_121
N=88555365564793051234214008584940727814733466817154162992301027014493685329128418132245529605674917232827919561
  ( 110 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=275708725429269016809228525155998997753 (pp39)
 r2=321191741127943587251282728962673310095889920760636481110578718074425937 (pp72)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 2.59 hours.
Scaled time: 1.75 units (timescale=0.677).
Factorization parameters were as follows:
name: 16669_121
n: 88555365564793051234214008584940727814733466817154162992301027014493685329128418132245529605674917232827919561
m: 1000000000000000000000000
c5: 50
c0: 7
skew: 0.67
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 600001)
Primes: RFBsize:49098, AFBsize:63963, largePrimes:2104728 encountered
Relations: rels:2144770, finalFF:180084
Max relations in full relation-set: 28
Initial matrix: 113126 x 180084 with sparse part having weight 15976568.
Pruned matrix : 96531 x 97160 with weight 6113251.
Total sieving time: 2.32 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,121,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.59 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

5×10125+73

c106

name 名前Sinkiti Sibata
date 日付September 26, 2007 14:40:40 UTC 2007 年 9 月 26 日 (水) 23 時 40 分 40 秒 (日本時間)
composite number 合成数
2028236838747666687478534951496303214000516428894914134664497036559678113327291556491062877412232492823179<106>
prime factors 素因数
168513932435459060567620404345611<33>
12036018680677828464748171772279011079478949036231241898241956856646325889<74>
factorization results 素因数分解の結果
Number: 16669_125
N=2028236838747666687478534951496303214000516428894914134664497036559678113327291556491062877412232492823179
  ( 106 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=168513932435459060567620404345611 (pp33)
 r2=12036018680677828464748171772279011079478949036231241898241956856646325889 (pp74)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 3.06 hours.
Scaled time: 2.07 units (timescale=0.677).
Factorization parameters were as follows:
name: 16669_125
n: 2028236838747666687478534951496303214000516428894914134664497036559678113327291556491062877412232492823179
m: 10000000000000000000000000
c5: 5
c0: 7
skew: 1.07
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 650001)
Primes: RFBsize:49098, AFBsize:64228, largePrimes:2213124 encountered
Relations: rels:2360223, finalFF:266542
Max relations in full relation-set: 28
Initial matrix: 113391 x 266542 with sparse part having weight 25504051.
Pruned matrix : 85873 x 86503 with weight 6283883.
Total sieving time: 2.80 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,125,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 3.06 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

5×10128+73

c122

name 名前Jo Yeong Uk
date 日付September 26, 2007 13:28:44 UTC 2007 年 9 月 26 日 (水) 22 時 28 分 44 秒 (日本時間)
composite number 合成数
10655001060066055465971858309540183216152828175044875135214627202503260377049374912642310058783427748363226684657422856567<122>
prime factors 素因数
349983130933154147542494609343249<33>
30444327507033853270702399006913464736680064207497013075681509886136946770149506545458183<89>
factorization results 素因数分解の結果
Number: 16669_128
N=10655001060066055465971858309540183216152828175044875135214627202503260377049374912642310058783427748363226684657422856567
  ( 122 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=349983130933154147542494609343249 (pp33)
 r2=30444327507033853270702399006913464736680064207497013075681509886136946770149506545458183 (pp89)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 1.94 hours.
Scaled time: 4.16 units (timescale=2.145).
Factorization parameters were as follows:
n: 10655001060066055465971858309540183216152828175044875135214627202503260377049374912642310058783427748363226684657422856567
m: 100000000000000000000000000
c5: 1
c0: 140
skew: 2.69
type: snfs
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [500000, 900001)
Primes: RFBsize:78498, AFBsize:78641, largePrimes:1495828 encountered
Relations: rels:1503438, finalFF:186230
Max relations in full relation-set: 28
Initial matrix: 157203 x 186230 with sparse part having weight 9104275.
Pruned matrix : 143047 x 143897 with weight 5517984.
Total sieving time: 1.86 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,130,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,46,46,2.2,2.2,50000
total time: 1.94 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2115k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.34 BogoMIPS (lpj=2407674)
Calibrating delay using timer specific routine.. 4684.13 BogoMIPS (lpj=2342066)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405119)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Total of 4 processors activated (19119.96 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

5×10131+73

c111

name 名前Jo Yeong Uk
date 日付September 26, 2007 16:34:15 UTC 2007 年 9 月 27 日 (木) 1 時 34 分 15 秒 (日本時間)
composite number 合成数
128572421041330628945312107304054615470294816718767333011548094860238837956131360269939220155411684012240109399<111>
prime factors 素因数
1302814026384104145222921505524360161093<40>
98688238257748130465524894016056404057253771100584036810592603966756843<71>
factorization results 素因数分解の結果
Number: 16669_131
N=128572421041330628945312107304054615470294816718767333011548094860238837956131360269939220155411684012240109399
  ( 111 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=1302814026384104145222921505524360161093 (pp40)
 r2=98688238257748130465524894016056404057253771100584036810592603966756843 (pp71)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 2.83 hours.
Scaled time: 6.05 units (timescale=2.139).
Factorization parameters were as follows:
n: 128572421041330628945312107304054615470294816718767333011548094860238837956131360269939220155411684012240109399
m: 100000000000000000000000000
c5: 50
c0: 7
skew: 0.67
type: snfs
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [500000, 1100001)
Primes: RFBsize:78498, AFBsize:78386, largePrimes:1577484 encountered
Relations: rels:1592551, finalFF:190981
Max relations in full relation-set: 28
Initial matrix: 156949 x 190981 with sparse part having weight 11746680.
Pruned matrix : 144889 x 145737 with weight 7156255.
Total sieving time: 2.73 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,46,46,2.2,2.2,50000
total time: 2.83 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2115k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.34 BogoMIPS (lpj=2407674)
Calibrating delay using timer specific routine.. 4684.13 BogoMIPS (lpj=2342066)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405119)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Total of 4 processors activated (19119.96 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

5×10132+73

c131

name 名前Jo Yeong Uk
date 日付September 26, 2007 23:16:04 UTC 2007 年 9 月 27 日 (木) 8 時 16 分 4 秒 (日本時間)
composite number 合成数
23474178403755868544600938967136150234741784037558685446009389671361502347417840375586854460093896713615023474178403755868544600939<131>
prime factors 素因数
2485169554431976453434061661307773<34>
9445704966847322970558865702100853962207830112965205476236509054211032779897889569875889195527943<97>
factorization results 素因数分解の結果
Number: 16669_132
N=23474178403755868544600938967136150234741784037558685446009389671361502347417840375586854460093896713615023474178403755868544600939
  ( 131 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=2485169554431976453434061661307773 (pp34)
 r2=9445704966847322970558865702100853962207830112965205476236509054211032779897889569875889195527943 (pp97)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 2.33 hours.
Scaled time: 4.95 units (timescale=2.128).
Factorization parameters were as follows:
n: 23474178403755868544600938967136150234741784037558685446009389671361502347417840375586854460093896713615023474178403755868544600939
m: 500000000000000000000000000
c5: 4
c0: 175
skew: 2.13
type: snfs
Factor base limits: 1400000/1400000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 47/47
Sieved algebraic special-q in [700000, 1100001)
Primes: RFBsize:107126, AFBsize:106873, largePrimes:2226874 encountered
Relations: rels:2343305, finalFF:290382
Max relations in full relation-set: 28
Initial matrix: 214063 x 290382 with sparse part having weight 19190038.
Pruned matrix : 176356 x 177490 with weight 8874710.
Total sieving time: 2.19 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,134,5,0,0,0,0,0,0,0,0,1400000,1400000,25,25,47,47,2.3,2.3,50000
total time: 2.33 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2115k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.34 BogoMIPS (lpj=2407674)
Calibrating delay using timer specific routine.. 4684.13 BogoMIPS (lpj=2342066)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405119)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Total of 4 processors activated (19119.96 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

5×10135+73

c122

name 名前Jo Yeong Uk
date 日付September 27, 2007 02:51:44 UTC 2007 年 9 月 27 日 (木) 11 時 51 分 44 秒 (日本時間)
composite number 合成数
63631026725308488187427141159783305023986096327229654593888951415465371751129423611565979517723069748777754256294214823723<122>
prime factors 素因数
2576769183774005584057447380213481615877532498847<49>
24694111962373273863858692871467284566884745178594644170287579543940440309<74>
factorization results 素因数分解の結果
Number: 16669_135
N=63631026725308488187427141159783305023986096327229654593888951415465371751129423611565979517723069748777754256294214823723
  ( 122 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=2576769183774005584057447380213481615877532498847 (pp49)
 r2=24694111962373273863858692871467284566884745178594644170287579543940440309 (pp74)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 2.83 hours.
Scaled time: 6.02 units (timescale=2.129).
Factorization parameters were as follows:
n: 63631026725308488187427141159783305023986096327229654593888951415465371751129423611565979517723069748777754256294214823723
m: 1000000000000000000000000000
c5: 5
c0: 7
skew: 1.07
type: snfs
Factor base limits: 1400000/1400000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 47/47
Sieved algebraic special-q in [700000, 1200001)
Primes: RFBsize:107126, AFBsize:107203, largePrimes:2285972 encountered
Relations: rels:2456639, finalFF:329462
Max relations in full relation-set: 28
Initial matrix: 214394 x 329462 with sparse part having weight 24010778.
Pruned matrix : 168264 x 169399 with weight 9837861.
Total sieving time: 2.69 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,135,5,0,0,0,0,0,0,0,0,1400000,1400000,25,25,47,47,2.3,2.3,50000
total time: 2.83 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2115k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.34 BogoMIPS (lpj=2407674)
Calibrating delay using timer specific routine.. 4684.13 BogoMIPS (lpj=2342066)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405119)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Total of 4 processors activated (19119.96 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

5×10137+73

c106

name 名前Jo Yeong Uk
date 日付September 27, 2007 07:19:20 UTC 2007 年 9 月 27 日 (木) 16 時 19 分 20 秒 (日本時間)
composite number 合成数
8218206171184817335096503188675348229821826657900353296819064455753352874913254325905363890559179282000741<106>
prime factors 素因数
33067855423525789757242415631561806102865053<44>
248525526252847290942368984924627161881822914913147146704360297<63>
factorization results 素因数分解の結果
Number: 16669_137
N=8218206171184817335096503188675348229821826657900353296819064455753352874913254325905363890559179282000741
  ( 106 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=33067855423525789757242415631561806102865053 (pp44)
 r2=248525526252847290942368984924627161881822914913147146704360297 (pp63)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 3.56 hours.
Scaled time: 7.54 units (timescale=2.118).
Factorization parameters were as follows:
n: 8218206171184817335096503188675348229821826657900353296819064455753352874913254325905363890559179282000741
m: 5000000000000000000000000000
c5: 4
c0: 175
skew: 2.13
type: snfs
Factor base limits: 1400000/1400000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 47/47
Sieved algebraic special-q in [700000, 1350001)
Primes: RFBsize:107126, AFBsize:106873, largePrimes:2329174 encountered
Relations: rels:2479966, finalFF:306952
Max relations in full relation-set: 28
Initial matrix: 214063 x 306952 with sparse part having weight 23622463.
Pruned matrix : 181583 x 182717 with weight 11078387.
Total sieving time: 3.40 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,139,5,0,0,0,0,0,0,0,0,1400000,1400000,25,25,47,47,2.3,2.3,50000
total time: 3.56 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2115k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.34 BogoMIPS (lpj=2407674)
Calibrating delay using timer specific routine.. 4684.13 BogoMIPS (lpj=2342066)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405119)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Total of 4 processors activated (19119.96 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

5×10138+73

c117

name 名前Sinkiti Sibata
date 日付September 27, 2007 21:25:01 UTC 2007 年 9 月 28 日 (金) 6 時 25 分 1 秒 (日本時間)
composite number 合成数
265938371080269481663171733466742068358255746135570115355624735763817783285646181622002721514196167950503021257657429<117>
prime factors 素因数
2207115310302675107711411136506882374916425885644292317671<58>
120491380689937645366860425953951437824016468528431170048099<60>
factorization results 素因数分解の結果
Number: 16669_138
N=265938371080269481663171733466742068358255746135570115355624735763817783285646181622002721514196167950503021257657429
  ( 117 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=2207115310302675107711411136506882374916425885644292317671 (pp58)
 r2=120491380689937645366860425953951437824016468528431170048099 (pp60)
Version: GGNFS-0.77.1-20060513-k8
Total time: 9.91 hours.
Scaled time: 19.51 units (timescale=1.969).
Factorization parameters were as follows:
name: 16669_138
n: 265938371080269481663171733466742068358255746135570115355624735763817783285646181622002721514196167950503021257657429
m: 5000000000000000000000000000
c5: 8
c0: 35
skew: 1.34
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 1675001)
Primes: RFBsize:78498, AFBsize:63913, largePrimes:1600904 encountered
Relations: rels:1609087, finalFF:168926
Max relations in full relation-set: 28
Initial matrix: 142476 x 168926 with sparse part having weight 16797660.
Pruned matrix : 135545 x 136321 with weight 12105787.
Total sieving time: 9.60 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.18 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,139,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 9.91 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo  E6300  1.86GHz, Windoes Vista)

5×10139+73

c128

name 名前Sinkiti Sibata
date 日付September 28, 2007 01:50:13 UTC 2007 年 9 月 28 日 (金) 10 時 50 分 13 秒 (日本時間)
composite number 合成数
27187100796240000941757996128380631790386988553157290361212166281105529340875250396473903242091659504609700154156408933849874927<128>
prime factors 素因数
68519056331623047707327877417940217357011<41>
396781599919562194526485294892308063321566863525043969970677953144473101558904885402357<87>
factorization results 素因数分解の結果
Number: 16669_139
N=27187100796240000941757996128380631790386988553157290361212166281105529340875250396473903242091659504609700154156408933849874927
  ( 128 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=68519056331623047707327877417940217357011 (pp41)
 r2=396781599919562194526485294892308063321566863525043969970677953144473101558904885402357 (pp87)
Version: GGNFS-0.77.1-20060513-k8
Total time: 7.76 hours.
Scaled time: 15.49 units (timescale=1.996).
Factorization parameters were as follows:
name: 16669_139
n: 27187100796240000941757996128380631790386988553157290361212166281105529340875250396473903242091659504609700154156408933849874927
m: 10000000000000000000000000000
c5: 1
c0: 14
skew: 1.7
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 1375001)
Primes: RFBsize:78498, AFBsize:63623, largePrimes:1550075 encountered
Relations: rels:1551224, finalFF:171077
Max relations in full relation-set: 28
Initial matrix: 142185 x 171077 with sparse part having weight 14886101.
Pruned matrix : 133835 x 134609 with weight 10106155.
Total sieving time: 7.52 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,140,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 7.76 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz,  Windows Vista)

5×10141+73

c97

name 名前Sinkiti Sibata
date 日付September 27, 2007 04:59:07 UTC 2007 年 9 月 27 日 (木) 13 時 59 分 7 秒 (日本時間)
composite number 合成数
5487967737401790843509693098739988690283003641505514417737061993133022559891161126165558959734363<97>
prime factors 素因数
391280500666926357614593359860867<33>
14025661202251856928100285392792838965856556326678840999770191689<65>
factorization results 素因数分解の結果
Number: 16669_141
N=5487967737401790843509693098739988690283003641505514417737061993133022559891161126165558959734363
  ( 97 digits)
Divisors found:
 r1=391280500666926357614593359860867 (pp33)
 r2=14025661202251856928100285392792838965856556326678840999770191689 (pp65)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 13.08 hours.
Scaled time: 8.86 units (timescale=0.677).
Factorization parameters were as follows:
name: 16669_141
n:  5487967737401790843509693098739988690283003641505514417737061993133022559891161126165558959734363
m:  14369675926318849190988
deg: 4
c4: 128713368
c3: 321000566584
c2: 421345394109067688
c1: -1579948430526136245
c0: -274075801134666159754345
skew: 1635.250
type: gnfs
# adj. I(F,S) = 55.486
# E(F1,F2) = 1.904845e-05
# GGNFS version 0.77.1-20060513-pentium4 polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=60.00000000, seed=1190818402.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 1200000
alim: 1200000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.4
alambda: 2.4
qintsize: 60000

type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [600000, 1680001)
Primes: RFBsize:92938, AFBsize:92333, largePrimes:1922598 encountered
Relations: rels:2011676, finalFF:220756
Max relations in full relation-set: 28
Initial matrix: 185350 x 220756 with sparse part having weight 21582414.
Pruned matrix : 170926 x 171916 with weight 14807077.
Polynomial selection time: 0.17 hours.
Total sieving time: 11.89 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.81 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,96,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 13.08 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

5×10142+73

c134

name 名前Jo Yeong Uk
date 日付September 27, 2007 16:21:19 UTC 2007 年 9 月 28 日 (金) 1 時 21 分 19 秒 (日本時間)
composite number 合成数
20475562272484586870004004524471890991064770529188077209658090285348062381550740648734029175578721691342968676743237148957761754173329<134>
prime factors 素因数
5800307603283903977690274884081525862077<40>
3530082139245880010115509104883085123122514153709233376692762673105064986713732631002976914277<94>
factorization results 素因数分解の結果
Number: 16669_142
N=20475562272484586870004004524471890991064770529188077209658090285348062381550740648734029175578721691342968676743237148957761754173329
  ( 134 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=5800307603283903977690274884081525862077 (pp40)
 r2=3530082139245880010115509104883085123122514153709233376692762673105064986713732631002976914277 (pp94)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 6.83 hours.
Scaled time: 14.63 units (timescale=2.141).
Factorization parameters were as follows:
n: 20475562272484586870004004524471890991064770529188077209658090285348062381550740648734029175578721691342968676743237148957761754173329
m: 50000000000000000000000000000
c5: 4
c0: 175
skew: 2.13
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved algebraic special-q in [750000, 1200001)
Primes: RFBsize:114155, AFBsize:114067, largePrimes:3312011 encountered
Relations: rels:3363019, finalFF:351333
Max relations in full relation-set: 28
Initial matrix: 228286 x 351333 with sparse part having weight 30146662.
Pruned matrix : 184826 x 186031 with weight 13060822.
Total sieving time: 6.64 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,144,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,47,47,2.3,2.3,50000
total time: 6.83 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2115k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.34 BogoMIPS (lpj=2407674)
Calibrating delay using timer specific routine.. 4684.13 BogoMIPS (lpj=2342066)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405119)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Total of 4 processors activated (19119.96 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

5×10143+73

c128

name 名前Jo Yeong Uk
date 日付September 28, 2007 01:23:55 UTC 2007 年 9 月 28 日 (金) 10 時 23 分 55 秒 (日本時間)
composite number 合成数
64159966431203876277211145259729258839851155070514316316238539204930112595630101081864207165422843650012653726820231156499365833<128>
prime factors 素因数
434046091093577317652060703761719<33>
147818325628859156953088758822031349145171816910978388451598502100954879491436158318814376510207<96>
factorization results 素因数分解の結果
Number: 16669_143
N=64159966431203876277211145259729258839851155070514316316238539204930112595630101081864207165422843650012653726820231156499365833
  ( 128 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=434046091093577317652060703761719 (pp33)
 r2=147818325628859156953088758822031349145171816910978388451598502100954879491436158318814376510207 (pp96)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 8.24 hours.
Scaled time: 17.65 units (timescale=2.141).
Factorization parameters were as follows:
n: 64159966431203876277211145259729258839851155070514316316238539204930112595630101081864207165422843650012653726820231156499365833
m: 100000000000000000000000000000
c5: 1
c0: 140
skew: 2.69
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved algebraic special-q in [750000, 1300001)
Primes: RFBsize:114155, AFBsize:114557, largePrimes:3356219 encountered
Relations: rels:3388872, finalFF:326333
Max relations in full relation-set: 28
Initial matrix: 228776 x 326333 with sparse part having weight 29776228.
Pruned matrix : 196932 x 198139 with weight 14882362.
Total sieving time: 8.02 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,145,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,47,47,2.3,2.3,50000
total time: 8.24 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2115k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.34 BogoMIPS (lpj=2407674)
Calibrating delay using timer specific routine.. 4684.13 BogoMIPS (lpj=2342066)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405119)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Total of 4 processors activated (19119.96 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

5×10148+73

c149

name 名前Robert Backstrom
date 日付September 27, 2007 12:52:03 UTC 2007 年 9 月 27 日 (木) 21 時 52 分 3 秒 (日本時間)
composite number 合成数
16666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669<149>
prime factors 素因数
18650313335606201329724729364112809673312876463<47>
84145670486626078050750612549722130221630831476553<50>
10620154668476690275768442467100096825061277196932171<53>
factorization results 素因数分解の結果
Number: n
N=16666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669
  ( 149 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=18650313335606201329724729364112809673312876463 (pp47)
 r2=84145670486626078050750612549722130221630831476553 (pp50)
 r3=10620154668476690275768442467100096825061277196932171 (pp53)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 14.42 hours.
Scaled time: 18.77 units (timescale=1.302).
Factorization parameters were as follows:
name: KA_1_6_147_9
n: 16666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669
skew: 0.84
deg: 5
c5: 8
c0: 35
m: 500000000000000000000000000000
type: snfs
rlim: 2000000
alim: 2000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
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, 1700001)
Primes: RFBsize:148933, AFBsize:149505, largePrimes:6860845 encountered
Relations: rels:6228580, finalFF:338172
Max relations in full relation-set: 28
Initial matrix: 298503 x 338172 with sparse part having weight 28470354.
Pruned matrix : 279282 x 280838 with weight 20632016.
Total sieving time: 12.23 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 1.80 hours.
Total square root time: 0.19 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,149,5,0,0,0,0,0,0,0,0,2000000,2000000,28,28,48,48,2.5,2.5,100000
total time: 14.42 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

5×10151+73

c108

name 名前Jo Yeong Uk
date 日付September 27, 2007 05:39:32 UTC 2007 年 9 月 27 日 (木) 14 時 39 分 32 秒 (日本時間)
composite number 合成数
519593614559548102194874834617845674942905966943492236676861101257006769573415848701702376520992230559745841<108>
prime factors 素因数
194105463026917266409863270055667221771<39>
2676862394581312139459903416519678229802305636596524777765101615813171<70>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM]
Input number is 519593614559548102194874834617845674942905966943492236676861101257006769573415848701702376520992230559745841 (108 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3536482172
Step 1 took 15688ms
Step 2 took 11391ms
********** Factor found in step 2: 194105463026917266409863270055667221771
Found probable prime factor of 39 digits: 194105463026917266409863270055667221771
Probable prime cofactor 2676862394581312139459903416519678229802305636596524777765101615813171 has 70 digits
execution environment 実行環境
Pentium 4 2.4GHz

5×10152+73

c108

name 名前Sinkiti Sibata
date 日付September 28, 2007 19:54:57 UTC 2007 年 9 月 29 日 (土) 4 時 54 分 57 秒 (日本時間)
composite number 合成数
208766028505206032982047684947445945022194314191543387718652600248442907703745958949603148169464391261347237<108>
prime factors 素因数
2737389693912651920291775161351885326232522611<46>
76264635966685860724726069046227515943445121318873286926559367<62>
factorization results 素因数分解の結果
Number: 16669_152
N=208766028505206032982047684947445945022194314191543387718652600248442907703745958949603148169464391261347237
  ( 108 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=2737389693912651920291775161351885326232522611 (pp46)
 r2=76264635966685860724726069046227515943445121318873286926559367 (pp62)
Version: GGNFS-0.77.1-20060513-k8
Total time: 26.20 hours.
Scaled time: 51.28 units (timescale=1.957).
Factorization parameters were as follows:
name: 16669_152
n: 208766028505206032982047684947445945022194314191543387718652600248442907703745958949603148169464391261347237
m: 1000000000000000000000000000000
c5: 500
c0: 7
skew: 0.43
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 2100001)
Primes: RFBsize:176302, AFBsize:176133, largePrimes:5921246 encountered
Relations: rels:6179778, finalFF:785801
Max relations in full relation-set: 28
Initial matrix: 352501 x 785801 with sparse part having weight 71297699.
Pruned matrix : 226386 x 228212 with weight 33405143.
Total sieving time: 24.91 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.02 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 26.20 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz,  Windows Vista)

5×10154+73

c131

name 名前Sinkiti Sibata
date 日付September 30, 2007 22:04:48 UTC 2007 年 10 月 1 日 (月) 7 時 4 分 48 秒 (日本時間)
composite number 合成数
24036886453165680508340850848781676496510660976142667106365241496273418489191071703314462061843335352040879870593174633908578412959<131>
prime factors 素因数
3039500772684756067905656547847651710767202885317667360748022141<64>
7908169219491322981400916567456394408788268380654149703529298881099<67>
factorization results 素因数分解の結果
Number: 16669_154
N=24036886453165680508340850848781676496510660976142667106365241496273418489191071703314462061843335352040879870593174633908578412959
  ( 131 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=3039500772684756067905656547847651710767202885317667360748022141 (pp64)
 r2=7908169219491322981400916567456394408788268380654149703529298881099 (pp67)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 35.56 hours.
Scaled time: 24.07 units (timescale=0.677).
Factorization parameters were as follows:
name: 16669_154
n: 24036886453165680508340850848781676496510660976142667106365241496273418489191071703314462061843335352040879870593174633908578412959
m: 10000000000000000000000000000000
c5: 1
c0: 14
skew: 1.7
type: snfs
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1500000, 2400001)
Primes: RFBsize:216816, AFBsize:216671, largePrimes:5670953 encountered
Relations: rels:5752856, finalFF:662121
Max relations in full relation-set: 28
Initial matrix: 433551 x 662121 with sparse part having weight 48626390.
Pruned matrix : 281115 x 283346 with weight 30459459.
Total sieving time: 31.66 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 3.54 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 35.56 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

5×10155+73

c126

name 名前Jo Yeong Uk
date 日付September 28, 2007 23:09:13 UTC 2007 年 9 月 29 日 (土) 8 時 9 分 13 秒 (日本時間)
composite number 合成数
710589833587302941718597558350764196066850853049176811985093853269458721857536326881047933687224985740262132968074713493595839<126>
prime factors 素因数
12183673828219514815541105378476410328653530357743<50>
58323116951920764556691672750208036680903493856562686440783028131664900724273<77>
factorization results 素因数分解の結果
Number: 16669_155
N=710589833587302941718597558350764196066850853049176811985093853269458721857536326881047933687224985740262132968074713493595839
  ( 126 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=12183673828219514815541105378476410328653530357743 (pp50)
 r2=58323116951920764556691672750208036680903493856562686440783028131664900724273 (pp77)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 18.11 hours.
Scaled time: 38.82 units (timescale=2.143).
Factorization parameters were as follows:
n: 710589833587302941718597558350764196066850853049176811985093853269458721857536326881047933687224985740262132968074713493595839
m: 10000000000000000000000000000000
c5: 5
c0: 7
skew: 1.07
type: snfs
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1500000, 2600001)
Primes: RFBsize:216816, AFBsize:216351, largePrimes:5702060 encountered
Relations: rels:5761249, finalFF:638372
Max relations in full relation-set: 28
Initial matrix: 433232 x 638372 with sparse part having weight 49932713.
Pruned matrix : 308816 x 311046 with weight 30557046.
Total sieving time: 17.42 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.57 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 18.11 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2115k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.34 BogoMIPS (lpj=2407674)
Calibrating delay using timer specific routine.. 4684.13 BogoMIPS (lpj=2342066)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405119)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Total of 4 processors activated (19119.96 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

5×10158+73

c142

name 名前Jo Yeong Uk
date 日付September 28, 2007 04:51:08 UTC 2007 年 9 月 28 日 (金) 13 時 51 分 8 秒 (日本時間)
composite number 合成数
9965502600753532803526842098773497734144324301687826859902421141714886485928477183543316523360335752146429830544618097388198080779801562643241<142>
prime factors 素因数
2810189725402685724689364943993<31>
3546202774378704117363718958207959078238914256676956218627386149550232256336887900588798661867954338838309183537<112>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM]
Input number is 9965502600753532803526842098773497734144324301687826859902421141714886485928477183543316523360335752146429830544618097388198080779801562643241 (142 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2277513493
Step 1 took 19656ms
Step 2 took 9109ms
********** Factor found in step 2: 2810189725402685724689364943993
Found probable prime factor of 31 digits: 2810189725402685724689364943993
Probable prime cofactor 3546202774378704117363718958207959078238914256676956218627386149550232256336887900588798661867954338838309183537 has 112 digits
execution environment 実行環境
Pentium 4 2.4GHz

5×10159+73

c142

name 名前Sinkiti Sibata
date 日付September 30, 2007 20:26:54 UTC 2007 年 10 月 1 日 (月) 5 時 26 分 54 秒 (日本時間)
composite number 合成数
8792891543248889413056523663055605397019366650336981625335329343284007000558823348485757194490519250667301471004607262229383740155945979162197<142>
prime factors 素因数
20633650419206281386733031458970921470010125270621<50>
426143283646225856200448242499018567906598044643963243984154881765936470251951711802769440857<93>
factorization results 素因数分解の結果
Number: 16669_159
N=8792891543248889413056523663055605397019366650336981625335329343284007000558823348485757194490519250667301471004607262229383740155945979162197
  ( 142 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=20633650419206281386733031458970921470010125270621 (pp50)
 r2=426143283646225856200448242499018567906598044643963243984154881765936470251951711802769440857 (pp93)
Version: GGNFS-0.77.1-20060513-k8
Total time: 40.03 hours.
Scaled time: 77.81 units (timescale=1.944).
Factorization parameters were as follows:
name: 16669_159
n: 8792891543248889413056523663055605397019366650336981625335329343284007000558823348485757194490519250667301471004607262229383740155945979162197
m: 100000000000000000000000000000000
c5: 1
c0: 14
skew: 1.7
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, 3300001)
Primes: RFBsize:283146, AFBsize:283092, largePrimes:5781861 encountered
Relations: rels:5963802, finalFF:786585
Max relations in full relation-set: 28
Initial matrix: 566302 x 786585 with sparse part having weight 46911389.
Pruned matrix : 388163 x 391058 with weight 28940900.
Total sieving time: 37.70 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 2.02 hours.
Time per square root: 0.16 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: 40.03 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz,   Windows Vista)

5×10160+73

c116

name 名前Sinkiti Sibata
date 日付September 29, 2007 21:59:45 UTC 2007 年 9 月 30 日 (日) 6 時 59 分 45 秒 (日本時間)
composite number 合成数
16082373566096614517840744716684819770544179685787058568186342091536319780818203204639102366383712317368525176873629<116>
prime factors 素因数
4977320437750921565229473834967340708864912661751976709<55>
3231130839822657913824785584822600613852060607675347893277881<61>
factorization results 素因数分解の結果
Number: 16669_160
N=16082373566096614517840744716684819770544179685787058568186342091536319780818203204639102366383712317368525176873629
  ( 116 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=4977320437750921565229473834967340708864912661751976709 (pp55)
 r2=3231130839822657913824785584822600613852060607675347893277881 (pp61)
Version: GGNFS-0.77.1-20060513-k8
Total time: 48.41 hours.
Scaled time: 96.57 units (timescale=1.995).
Factorization parameters were as follows:
name: 16669_160
n: 16082373566096614517840744716684819770544179685787058568186342091536319780818203204639102366383712317368525176873629
m: 100000000000000000000000000000000
c5: 5
c0: 7
skew: 1.07
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, 3500001)
Primes: RFBsize:283146, AFBsize:282597, largePrimes:5621726 encountered
Relations: rels:5644743, finalFF:651649
Max relations in full relation-set: 28
Initial matrix: 565808 x 651649 with sparse part having weight 40725051.
Pruned matrix : 498172 x 501065 with weight 27770530.
Total sieving time: 45.45 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 2.62 hours.
Time per square root: 0.19 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: 48.41 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz,  Windows Vista)

5×10161+73

c119

name 名前Sinkiti Sibata
date 日付October 2, 2007 11:23:49 UTC 2007 年 10 月 2 日 (火) 20 時 23 分 49 秒 (日本時間)
composite number 合成数
17600958831023174839925978092753242124486597026417452012549969280102392991960434543098921399672637559438776334598686749<119>
prime factors 素因数
19431998449239836919883891499392364284154878753810288198627<59>
905771934729220258028194158863173230204066471520265077490687<60>
factorization results 素因数分解の結果
Number: 16669_161
N=17600958831023174839925978092753242124486597026417452012549969280102392991960434543098921399672637559438776334598686749
  ( 119 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=19431998449239836919883891499392364284154878753810288198627 (pp59)
 r2=905771934729220258028194158863173230204066471520265077490687 (pp60)
Version: GGNFS-0.77.1-20060513-k8
Total time: 73.18 hours.
Scaled time: 146.44 units (timescale=2.001).
Factorization parameters were as follows:
name: 16669_161
n: 17600958831023174839925978092753242124486597026417452012549969280102392991960434543098921399672637559438776334598686749
m: 100000000000000000000000000000000
c5: 50
c0: 7
skew: 0.67
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, 4550001)
Primes: RFBsize:315948, AFBsize:316881, largePrimes:5795306 encountered
Relations: rels:5901400, finalFF:737692
Max relations in full relation-set: 28
Initial matrix: 632894 x 737692 with sparse part having weight 45414630.
Pruned matrix : 553191 x 556419 with weight 32190862.
Total sieving time: 69.32 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 3.47 hours.
Time per square root: 0.20 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: 73.18 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz,  Windows Vista)

5×10162+73

c114

name 名前Jo Yeong Uk
date 日付September 30, 2007 01:28:42 UTC 2007 年 9 月 30 日 (日) 10 時 28 分 42 秒 (日本時間)
composite number 合成数
982198124161653180383430896087817726373941018203689950840839374285322703169061071123818762648082907378560911687761<114>
prime factors 素因数
12345841030073355518195566173708094971913700674342341749<56>
79557003995848246810709883183266502089230667106521497802989<59>
factorization results 素因数分解の結果
Number: 16669_162
N=982198124161653180383430896087817726373941018203689950840839374285322703169061071123818762648082907378560911687761
  ( 114 digits)
Divisors found:
 r1=12345841030073355518195566173708094971913700674342341749 (pp56)
 r2=79557003995848246810709883183266502089230667106521497802989 (pp59)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 24.98 hours.
Scaled time: 53.55 units (timescale=2.144).
Factorization parameters were as follows:
name: 16669_162
n: 982198124161653180383430896087817726373941018203689950840839374285322703169061071123818762648082907378560911687761
skew: 79581.38
# norm 1.52e+16
c5: 14400
c4: -5104766820
c3: -426663243207224
c2: 28085394149617420745
c1: 790358088000437855793756
c0: -30202005118332397627600032105
# alpha -6.65
Y1: 1156683005687
Y0: -9263415975208444237468
# Murphy_E 5.69e-10
# M 282687440591493322167609652050488048787882302796981977330370789227978501143302103505532468545998949397979264317724
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, 3075001)
Primes: RFBsize:256726, AFBsize:255796, largePrimes:7643428 encountered
Relations: rels:7673917, finalFF:699431
Max relations in full relation-set: 28
Initial matrix: 512600 x 699431 with sparse part having weight 61343989.
Pruned matrix : 366077 x 368704 with weight 35631843.
Polynomial selection time: 1.18 hours.
Total sieving time: 22.62 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.87 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
gnfs,113,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3600000,3600000,27,27,50,50,2.4,2.4,75000
total time: 24.98 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2115k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.34 BogoMIPS (lpj=2407674)
Calibrating delay using timer specific routine.. 4684.13 BogoMIPS (lpj=2342066)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405119)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Total of 4 processors activated (19119.96 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

5×10163+73

c150

name 名前Robert Backstrom
date 日付September 30, 2007 08:39:59 UTC 2007 年 9 月 30 日 (日) 17 時 39 分 59 秒 (日本時間)
composite number 合成数
281783100453132491764192749729106318410556661674307444387519334626303961635821594561083163050656636337622215383852258673518554659375130169219873027171<150>
prime factors 素因数
179096204859467232396164279888334937<36>
1573361650372442894213033131277538811100419125034880034126626043409760465523866973561143332026778461515089011520283<115>
factorization results 素因数分解の結果
Number: n
N=281783100453132491764192749729106318410556661674307444387519334626303961635821594561083163050656636337622215383852258673518554659375130169219873027171
  ( 150 digits)
SNFS difficulty: 164 digits.
Divisors found:

Linear algebra using Msieve 1.26:

Sun Sep 30 18:13:20 2007  commencing square root phase
Sun Sep 30 18:13:20 2007  reading relations for dependency 1
Sun Sep 30 18:13:21 2007  read 238377 cycles
Sun Sep 30 18:13:21 2007  cycles contain 836180 unique relations
Sun Sep 30 18:13:57 2007  read 836180 relations
Sun Sep 30 18:14:04 2007  multiplying 1175696 relations
Sun Sep 30 18:16:39 2007  multiply complete, coefficients have about 28.40 million bits
Sun Sep 30 18:16:40 2007  initial square root is modulo 143457841
Sun Sep 30 18:22:25 2007  prp36 factor: 179096204859467232396164279888334937
Sun Sep 30 18:22:25 2007  prp115 factor: 1573361650372442894213033131277538811100419125034880034126626043409760465523866973561143332026778461515089011520283
Sun Sep 30 18:22:25 2007  elapsed time 01:32:22

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 65.07 hours.
Scaled time: 79.39 units (timescale=1.220).
Factorization parameters were as follows:
name: KA_1_6_162_9
n: 281783100453132491764192749729106318410556661674307444387519334626303961635821594561083163050656636337622215383852258673518554659375130169219873027171
skew: 0.45
deg: 5
c5: 8
c0: 35
m: 500000000000000000000000000000000
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  special-q in [100000, 3100000)
Primes: RFBsize:216816, AFBsize:217636, largePrimes:7586330 encountered
Relations: rels:7073916, finalFF:488697
Max relations in full relation-set: 28
Initial matrix: 434517 x 488697 with sparse part having weight 43843717.
Pruned matrix : 412969 x 415205 with weight 33648580.
Total sieving time: 64.61 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 0.20 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,164,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 65.07 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

5×10164+73

c156

name 名前Robert Backstrom
date 日付September 29, 2007 17:24:53 UTC 2007 年 9 月 30 日 (日) 2 時 24 分 53 秒 (日本時間)
composite number 合成数
601100627511426222646761161680965546206801796708529971231335989315691212650463737172222577853390145565689747467684178070804876373058548212170868388304701029<156>
prime factors 素因数
26302708085062711351718348313317723934590092763062351780943<59>
22853183997916580633609069137995891297392038889869322628145873448439676832765537008398620936667403<98>
factorization results 素因数分解の結果
Number: n
N=601100627511426222646761161680965546206801796708529971231335989315691212650463737172222577853390145565689747467684178070804876373058548212170868388304701029
  ( 156 digits)
SNFS difficulty: 165 digits.
Divisors found:

Linear algebra by Msieve 1.26:


Sun Sep 30 03:05:26 2007  commencing square root phase
Sun Sep 30 03:05:26 2007  reading relations for dependency 1
Sun Sep 30 03:05:27 2007  read 217366 cycles
Sun Sep 30 03:05:27 2007  cycles contain 795544 unique relations
Sun Sep 30 03:06:01 2007  read 795544 relations
Sun Sep 30 03:06:08 2007  multiplying 1142918 relations
Sun Sep 30 03:08:47 2007  multiply complete, coefficients have about 24.09 million bits
Sun Sep 30 03:08:48 2007  initial square root is modulo 8296751
Sun Sep 30 03:15:04 2007  prp59 factor: 26302708085062711351718348313317723934590092763062351780943
Sun Sep 30 03:15:04 2007  prp98 factor: 22853183997916580633609069137995891297392038889869322628145873448439676832765537008398620936667403
Sun Sep 30 03:15:04 2007  elapsed time 01:26:28


Version: GGNFS-0.77.1-20051202-athlon
Total time: 40.61 hours.
Scaled time: 53.77 units (timescale=1.324).
Factorization parameters were as follows:
name: KA_1_6_163_9
n: 601100627511426222646761161680965546206801796708529971231335989315691212650463737172222577853390145565689747467684178070804876373058548212170868388304701029
skew: 1.70
deg: 5
c5: 1
c0: 14
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, 1900000)
Primes: RFBsize:250150, AFBsize:250091, largePrimes:7227599 encountered
Relations: rels:6752702, finalFF:576673
Max relations in full relation-set: 28
Initial matrix: 500305 x 576673 with sparse part having weight 39570403.
Pruned matrix : 436717 x 439282 with weight 24359944.
Total sieving time: 40.39 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 40.61 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

5×10166+73

c157

name 名前matsui
date 日付November 2, 2007 03:59:02 UTC 2007 年 11 月 2 日 (金) 12 時 59 分 2 秒 (日本時間)
composite number 合成数
5695940976847832996838728037465613167159299659126902091465443217824048728481602054084087599321229249830416657436536712209174491114428850154577169614200551543<157>
prime factors 素因数
156630091583671031730558418871436461<36>
composite cofactor 合成数の残り
36365559895016016644306948036519971789440001831406469011965021801985852343260659678682774063764231328439857717070493184563<122>
factorization results 素因数分解の結果
Input number is 5695940976847832996838728037465613167159299659126902091465443217824048728481602054084087599321229249830416657436536712209174491114428850154577169614200551543 (157 digits)
Using B1=134217728, B2=903256599604, polynomial Dickson(30), sigma=1184770624
Step 1 took 2934146ms
Step 2 took 805231ms
********** Factor found in step 2: 156630091583671031730558418871436461
Found probable prime factor of 36 digits: 156630091583671031730558418871436461
Composite cofactor 36365559895016016644306948036519971789440001831406469011965021801985852343260659678682774063764231328439857717070493184563 has 122 digits

c122

name 名前matsui
date 日付December 14, 2007 23:49:33 UTC 2007 年 12 月 15 日 (土) 8 時 49 分 33 秒 (日本時間)
composite number 合成数
36365559895016016644306948036519971789440001831406469011965021801985852343260659678682774063764231328439857717070493184563<122>
prime factors 素因数
2264388869748319451290164995673979200391552839732379<52>
16059767993409165566619664888931389674520944070045699328877175122292297<71>
factorization results 素因数分解の結果
N=36365559895016016644306948036519971789440001831406469011965021801985852343260659678682774063764231328439857717070493184563
  ( 122 digits)

SNFS difficulty: 166 digits.

Divisors found:

 r1=2264388869748319451290164995673979200391552839732379 (pp52)

 r2=16059767993409165566619664888931389674520944070045699328877175122292297 (pp71)

Version: GGNFS-0.77.1-20060513-pentium4

Total time: 125.39 hours.
Scaled time: 238.73 units (timescale=1.904).

Factorization parameters were as follows:

n: 36365559895016016644306948036519971789440001831406469011965021801985852343260659678682774063764231328439857717070493184563
m: 1000000000000000000000000000000000
c5: 50
c0: 7
skew: 0.67
type: snfs

Factor base limits: 5000000/5000000

Large primes per side: 3

Large prime bits: 27/27

Max factor residue bits: 48/48
Sieved algebraic special-q in [2500000, 6400001)

Primes: RFBsize:348513, AFBsize:349596, largePrimes:6068375 encountered

Relations: rels:6296703, finalFF:852370

Max relations in full relation-set: 28

Initial matrix: 698174 x 852370 with sparse part having weight 63956552.

Pruned matrix : 581570 x 585124 with weight 46821531.

Total sieving time: 110.75 hours.

Total relation processing time: 0.15 hours.

Matrix solve time: 14.13 hours.

Time per square root: 0.35 hours.

Prototype def-par.txt line would be:

snfs,166,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,48,48,2.5,2.5,100000
total time: 125.39 hours.

5×10168+73

c125

name 名前matsui
date 日付January 1, 2008 04:20:14 UTC 2008 年 1 月 1 日 (火) 13 時 20 分 14 秒 (日本時間)
composite number 合成数
47688138501357609774618672532490299817298311966335834818528738503217271683915586390382658927785128435204674599608535389191059<125>
prime factors 素因数
389150024577353540408352254416982467679044312048033653164543<60>
122544354335196425279257869050817022387231657467995884738591164013<66>
factorization results 素因数分解の結果
N=47688138501357609774618672532490299817298311966335834818528738503217271683915586390382658927785128435204674599608535389191059
  ( 125 digits)
SNFS difficulty: 169 digits.

Divisors found:

 r1=389150024577353540408352254416982467679044312048033653164543 (pp60)

 r2=122544354335196425279257869050817022387231657467995884738591164013 (pp66)


Version: GGNFS-0.77.1-20060513-pentium4

Total time: 230.78 hours.

Scaled time: 292.87 units (timescale=1.269).

Factorization parameters were as follows:

n: 47688138501357609774618672532490299817298311966335834818528738503217271683915586390382658927785128435204674599608535389191059
m: 5000000000000000000000000000000000
c5: 8
c0: 35
skew: 1.34
type: snfs


Factor base limits: 6000000/6000000

Large primes per side: 3

Large prime bits: 27/27

Max factor residue bits: 48/48

Sieved algebraic special-q in [3000000, 7300001)

Primes: RFBsize:412849, AFBsize:413746, largePrimes:6138486 encountered

Relations: rels:6454072, finalFF:972179

Max relations in full relation-set: 28

Initial matrix: 826660 x 972179 with sparse part having weight 59419918.

Pruned matrix : 704813 x 709010 with weight 42613207.

Total sieving time: 211.34 hours.

Total relation processing time: 0.28 hours.

Matrix solve time: 18.83 hours.

Time per square root: 0.33 hours.

Prototype def-par.txt line would be:

snfs,169,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,48,48,2.6,2.6,100000

total time: 230.78 hours.

5×10169+73

c153

name 名前matsui
date 日付March 17, 2008 21:30:48 UTC 2008 年 3 月 18 日 (火) 6 時 30 分 48 秒 (日本時間)
composite number 合成数
856561717379015803405657536995682255393219509779765949997691370068391354702603316745078491194928969705420851888432244686858900220387445762659400177323821<153>
prime factors 素因数
133553343132611065513453492437199063759951936543<48>
41410460248177205270577696479970680990973907664429989<53>
154879464781860811388364739624524998886174833420229623<54>
factorization results 素因数分解の結果
N=856561717379015803405657536995682255393219509779765949997691370068391354702603316745078491194928969705420851888432244686858900220387445762659400177323821
  ( 153 digits)

SNFS difficulty: 170 digits.

Divisors found:

 r1=133553343132611065513453492437199063759951936543 (pp48)

 r2=41410460248177205270577696479970680990973907664429989 (pp53)

 r3=154879464781860811388364739624524998886174833420229623 (pp54)
Version: GGNFS-0.77.1-20060513-prescott
Total time: 129.13 hours.

Scaled time: 143.08 units (timescale=1.108).

Factorization parameters were as follows:

n: 856561717379015803405657536995682255393219509779765949997691370068391354702603316745078491194928969705420851888432244686858900220387445762659400177323821
m: 10000000000000000000000000000000000
c5: 1
c0: 14
skew: 1.7
type: snfs


Factor base limits: 6000000/6000000

Large primes per side: 3

Large prime bits: 27/27

Max factor residue bits: 48/48

Sieved algebraic special-q in [3000000, 6500001)

Primes: RFBsize:412849, AFBsize:412741, largePrimes:5966140 encountered

Relations: rels:6244816, finalFF:943149
Max relations in full relation-set: 28

Initial matrix: 825654 x 943149 with sparse part having weight 48340192.

Pruned matrix : 725369 x 729561 with weight 34629757.

Total sieving time: 117.73 hours.

Total relation processing time: 0.14 hours.

Matrix solve time: 11.00 hours.

Time per square root: 0.27 hours.

Prototype def-par.txt line would be:

snfs,170,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,48,48,2.6,2.6,100000

total time: 129.13 hours.

5×10173+73

c104

name 名前matsui
date 日付November 1, 2007 10:12:47 UTC 2007 年 11 月 1 日 (木) 19 時 12 分 47 秒 (日本時間)
composite number 合成数
36921943839998587914228808236155511843378747795412617433005313650028624835179704262350945849262592485273<104>
prime factors 素因数
5917523119420196943705339866721088586618339<43>
6239425363430810864236794554166498878991514867897846161057107<61>
factorization results 素因数分解の結果
Msieve v. 1.26
36921943839998587914228808236155511843378747795412617433005313650028624835179704262350945849262592485273 (104 digits)
prp43 factor: 5917523119420196943705339866721088586618339
prp61 factor: 6239425363430810864236794554166498878991514867897846161057107

5×10175+73

c166

name 名前Ignacio Santos
date 日付June 16, 2010 11:47:13 UTC 2010 年 6 月 16 日 (水) 20 時 47 分 13 秒 (日本時間)
composite number 合成数
7585133210692742929853606020334671420463222407345539605491423636044186685618370785951795598874000506750310187916619045114458304686048740018329350007454357929007189349<166>
prime factors 素因数
909268309085444427939180507610483832898271337<45>
8342018670288842010782993934710840861704808857277160204801300641668741420432404931764875886501087855646836620124010917277<121>
factorization results 素因数分解の結果
Number: 7
N=7585133210692742929853606020334671420463222407345539605491423636044186685618370785951795598874000506750310187916619045114458304686048740018329350007454357929007189349
  ( 166 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=909268309085444427939180507610483832898271337 (pp45)
 r2=8342018670288842010782993934710840861704808857277160204801300641668741420432404931764875886501087855646836620124010917277 (pp121)
Version: Msieve-1.40
Total time: 62.19 hours.
Scaled time: 108.14 units (timescale=1.739).
Factorization parameters were as follows:
n: 7585133210692742929853606020334671420463222407345539605491423636044186685618370785951795598874000506750310187916619045114458304686048740018329350007454357929007189349
m: 100000000000000000000000000000000000
deg: 5
c5: 5
c0: 7
skew: 1.07
type: snfs
lss: 1
rlim: 5900000
alim: 5900000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5900000/5900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [2950000, 5950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1075008 x 1075233
Total sieving time: 60.21 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.51 hours.
Time per square root: 0.32 hours.
Prototype def-par.txt line would be:
snfs,175.000,5,0,0,0,0,0,0,0,0,5900000,5900000,28,28,52,52,2.5,2.5,100000
total time: 62.19 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 26, 2007 09:00:00 UTC 2007 年 9 月 26 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosMay 26, 2010 21:57:14 UTC 2010 年 5 月 27 日 (木) 6 時 57 分 14 秒 (日本時間)
403e62144113Ignacio SantosMay 26, 2010 21:57:14 UTC 2010 年 5 月 27 日 (木) 6 時 57 分 14 秒 (日本時間)
2031Wataru SakaiMay 28, 2010 10:20:47 UTC 2010 年 5 月 28 日 (金) 19 時 20 分 47 秒 (日本時間)
4511e632 / 3991Ignacio SantosMay 26, 2010 21:57:14 UTC 2010 年 5 月 27 日 (木) 6 時 57 分 14 秒 (日本時間)

5×10176+73

c167

name 名前Dmitry Domanov
date 日付July 6, 2011 09:20:33 UTC 2011 年 7 月 6 日 (水) 18 時 20 分 33 秒 (日本時間)
composite number 合成数
17900706388929234783832215471506516110760679066199642578550289387640143660548158358881328000816151345765635055949488590381833522653907109313648721595202824522445204671<167>
prime factors 素因数
638998641079453396139016213636348403612793285837240140389451194099473318539082701<81>
28013684596714897245385487570906106302606290167705498838239091704628006672405480502971<86>
factorization results 素因数分解の結果
N=17900706388929234783832215471506516110760679066199642578550289387640143660548158358881328000816151345765635055949488590381833522653907109313648721595202824522445204671
  ( 167 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=638998641079453396139016213636348403612793285837240140389451194099473318539082701 (pp81)
 r2=28013684596714897245385487570906106302606290167705498838239091704628006672405480502971 (pp86)
Version: Msieve-1.40
Total time: 78.93 hours.
Scaled time: 155.42 units (timescale=1.969).
Factorization parameters were as follows:
n: 17900706388929234783832215471506516110760679066199642578550289387640143660548158358881328000816151345765635055949488590381833522653907109313648721595202824522445204671
m: 100000000000000000000000000000000000
deg: 5
c5: 50
c0: 7
skew: 0.67
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 300000Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3100000, 7000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1311226 x 1311457
Total sieving time: 76.34 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.88 hours.
Time per square root: 0.56 hours.
Prototype def-par.txt line would be:
snfs,176.000,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,53,53,2.5,2.5,100000
total time: 78.93 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 KamadaSeptember 26, 2007 09:00:00 UTC 2007 年 9 月 26 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 10, 2010 09:14:43 UTC 2010 年 10 月 10 日 (日) 18 時 14 分 43 秒 (日本時間)
403e62144110Ignacio SantosOctober 10, 2010 09:14:43 UTC 2010 年 10 月 10 日 (日) 18 時 14 分 43 秒 (日本時間)
2034Wataru SakaiJune 26, 2011 06:13:38 UTC 2011 年 6 月 26 日 (日) 15 時 13 分 38 秒 (日本時間)
4511e632 / 3991Ignacio SantosOctober 10, 2010 09:14:43 UTC 2010 年 10 月 10 日 (日) 18 時 14 分 43 秒 (日本時間)

5×10180+73

c150

name 名前Serge Batalov
date 日付February 13, 2009 05:23:48 UTC 2009 年 2 月 13 日 (金) 14 時 23 分 48 秒 (日本時間)
composite number 合成数
888766818628528909467898313469204046805947021217322455367278885730213474401977512086099401632297840647813924449400174908227064962271561797463762953421<150>
prime factors 素因数
31773102888110998286705529243790757<35>
27972301658995088320960956104735130981351338320881303986748486437792405387531996289545564795758198381632115477266953<116>
factorization results 素因数分解の結果
Using B1=6000000, B2=35128842850, polynomial Dickson(12), sigma=1855914501
Step 1 took 23790ms
Step 2 took 20738ms
********** Factor found in step 2: 31773102888110998286705529243790757
Found probable prime factor of 35 digits: 31773102888110998286705529243790757
Probable prime cofactor has 116 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 26, 2007 09:00:00 UTC 2007 年 9 月 26 日 (水) 18 時 0 分 0 秒 (日本時間)

5×10181+73

c175

name 名前matsui
date 日付October 29, 2007 20:24:50 UTC 2007 年 10 月 30 日 (火) 5 時 24 分 50 秒 (日本時間)
composite number 合成数
5240320577659402429475503649830879133997198105393537070709008037708508425544634378117008183599033307582398014715029794890708398064393268871101843429492167869267836033722930207<175>
prime factors 素因数
15723245803923831841763637804116393807<38>
333284910953414496865344254925662573105861000375900329621890909608385992777196180707248922993978075855583628204941899412869920935091825201<138>
factorization results 素因数分解の結果
GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 

5240320577659402429475503649830879133997198105393537070709008037708508425544634378117008183599033307582398014715029794890708398064393268871101843429

492167869267836033722930207 (175 digits)
Using B1=16777216, B2=46672661580, polynomial Dickson(12), sigma=688170444
Step 1 took 440909ms
Step 2 took 120653ms
********** Factor found in step 2: 15723245803923831841763637804116393807
Found probable prime factor of 38 digits: 15723245803923831841763637804116393807
Probable prime cofactor 

333284910953414496865344254925662573105861000375900329621890909608385992777196180707248922993978075855583628204941899412869920935091825201 has 138 

digits

5×10183+73

c136

name 名前Dmitry Domanov
date 日付March 30, 2012 19:37:17 UTC 2012 年 3 月 31 日 (土) 4 時 37 分 17 秒 (日本時間)
composite number 合成数
8634016359307347268469074523118066979252420407569425240893998163063734622055885755308197213643755552870214881070353157651256158485959649<136>
prime factors 素因数
33547003832646249430080789652304363349237977<44>
257370714904356338186698092617834286736367214589682905550332442154626015684422463439602558537<93>
factorization results 素因数分解の結果
N=8634016359307347268469074523118066979252420407569425240893998163063734622055885755308197213643755552870214881070353157651256158485959649
  ( 136 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=33547003832646249430080789652304363349237977 (pp44)
 r2=257370714904356338186698092617834286736367214589682905550332442154626015684422463439602558537 (pp93)
Version: Msieve-1.40
Total time: 199.90 hours.
Scaled time: 391.20 units (timescale=1.957).
Factorization parameters were as follows:
n: 8634016359307347268469074523118066979252420407569425240893998163063734622055885755308197213643755552870214881070353157651256158485959649
m: 1000000000000000000000000000000000000
deg: 5
c5: 5000
c0: 7
skew: 0.27
type: snfs
lss: 1
rlim: 8100000
alim: 8100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000Factor base limits: 8100000/8100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4050000, 7250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1357408 x 1357633
Total sieving time: 197.44 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 1.92 hours.
Time per square root: 0.35 hours.
Prototype def-par.txt line would be:
snfs,183.000,5,0,0,0,0,0,0,0,0,8100000,8100000,28,28,53,53,2.5,2.5,100000
total time: 199.90 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 KamadaSeptember 26, 2007 09:00:00 UTC 2007 年 9 月 26 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 10, 2010 15:54:32 UTC 2010 年 10 月 11 日 (月) 0 時 54 分 32 秒 (日本時間)
403e62510110Ignacio SantosOctober 10, 2010 15:54:32 UTC 2010 年 10 月 11 日 (月) 0 時 54 分 32 秒 (日本時間)
300Dmitry DomanovJanuary 25, 2012 12:26:34 UTC 2012 年 1 月 25 日 (水) 21 時 26 分 34 秒 (日本時間)
1000Dmitry DomanovJanuary 27, 2012 06:29:01 UTC 2012 年 1 月 27 日 (金) 15 時 29 分 1 秒 (日本時間)
1100Dmitry DomanovJanuary 30, 2012 11:10:17 UTC 2012 年 1 月 30 日 (月) 20 時 10 分 17 秒 (日本時間)
4511e632 / 3209Ignacio SantosOctober 10, 2010 15:54:32 UTC 2010 年 10 月 11 日 (月) 0 時 54 分 32 秒 (日本時間)
5043e6200 / 7449Dmitry DomanovMarch 17, 2012 20:31:09 UTC 2012 年 3 月 18 日 (日) 5 時 31 分 9 秒 (日本時間)

5×10187+73

c188

name 名前Jo Yeong Uk
date 日付September 26, 2007 23:14:43 UTC 2007 年 9 月 27 日 (木) 8 時 14 分 43 秒 (日本時間)
composite number 合成数
16666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669<188>
prime factors 素因数
809800994185580459461342700011<30>
20581188200970768756638678837132189543155931483203808645215586178063428078238759791181233823231551560665801684249575705334754779112834205568013634241048487879<158>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM]
Input number is 16666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669 (188 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3360022511
Step 1 took 9964ms
********** Factor found in step 1: 809800994185580459461342700011
Found probable prime factor of 30 digits: 809800994185580459461342700011
Probable prime cofactor 20581188200970768756638678837132189543155931483203808645215586178063428078238759791181233823231551560665801684249575705334754779112834205568013634241048487879 has 158 digits
execution environment 実行環境
Core 2 Quad Q6600

5×10188+73

c181

name 名前Robert Backstrom
date 日付August 31, 2008 12:33:02 UTC 2008 年 8 月 31 日 (日) 21 時 33 分 2 秒 (日本時間)
composite number 合成数
2843763372974996625732569796517753737019307941859303339740161586843622231311269130700041437613612967865832199567532978796803603143744008652684689790546533156981329027011082583804043<181>
prime factors 素因数
5572625206496682509937965003069828168574001110247054129799055991<64>
510309462344547784599419974697282044175752543112956276456061023653909400195521795522887826526858682926321882006053773<117>
factorization results 素因数分解の結果
Number: n
N=2843763372974996625732569796517753737019307941859303339740161586843622231311269130700041437613612967865832199567532978796803603143744008652684689790546533156981329027011082583804043
  ( 181 digits)
SNFS difficulty: 190 digits.
Divisors found:

Sun Aug 31 21:55:16 2008  prp64 factor: 5572625206496682509937965003069828168574001110247054129799055991
Sun Aug 31 21:55:16 2008  prp117 factor: 510309462344547784599419974697282044175752543112956276456061023653909400195521795522887826526858682926321882006053773
Sun Aug 31 21:55:16 2008  elapsed time 05:08:39 (Msieve 1.36)

Version: GGNFS-0.77.1-20050930-k8
Total time: 214.52 hours.
Scaled time: 179.76 units (timescale=0.838).
Factorization parameters were as follows:
name: KA_1_6_187_9
n: 2843763372974996625732569796517753737019307941859303339740161586843622231311269130700041437613612967865832199567532978796803603143744008652684689790546533156981329027011082583804043
type: snfs
skew: 2.69
deg: 5
c5: 1
c0: 140
m: 100000000000000000000000000000000000000
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 50/50
Sieved  special-q in [100000, 8900001)
Primes: RFBsize:602489, AFBsize:603790, largePrimes:10824329 encountered
Relations: rels:10821915, finalFF:1236646
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 214.11 hours.
Total relation processing time: 0.41 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,50,50,2.5,2.5,100000
total time: 214.52 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 KamadaSeptember 26, 2007 09:00:00 UTC 2007 年 9 月 26 日 (水) 18 時 0 分 0 秒 (日本時間)

5×10190+73

c146

name 名前anonymous
date 日付October 20, 2007 20:51:15 UTC 2007 年 10 月 21 日 (日) 5 時 51 分 15 秒 (日本時間)
composite number 合成数
24117650678316666012683993433964368663537265292188687867693150961771203141249183133017489881270896385069282091968070589444329116398842164209767459<146>
prime factors 素因数
95241712200343898401070633893<29>
253225715089880357003437152506851618536597279889801230013665252373632182359449182088181293413579341092522759275175463<117>
factorization results 素因数分解の結果
GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 24117650678316666012683993433964368663537265292188687867693150961771203141249183133017489881270896385069282091968070589444329116398842164209767459 (146 digits)
Using B1=100000000, B2=593887176568, polynomial Dickson(30), sigma=4146569281
Step 1 took 1954258ms
Step 2 took 584803ms
********** Factor found in step 2: 95241712200343898401070633893
Found probable prime factor of 29 digits: 95241712200343898401070633893
Probable prime cofactor 253225715089880357003437152506851618536597279889801230013665252373632182359449182088181293413579341092522759275175463 has 117 digits

5×10192+73

c175

name 名前Edwin Hall
date 日付December 14, 2020 03:18:44 UTC 2020 年 12 月 14 日 (月) 12 時 18 分 44 秒 (日本時間)
composite number 合成数
8486809998876432879195726260045170206114397443495726386365210744444072509317375209574655623458466764288046537384718437570245716406987034539826176755928612656825368664729149473<175>
prime factors 素因数
96147247827292652142968661078568600161086820127865661461784737133518198503<74>
88268881228104596965780762695659268881822703766745661889184290608645927940925784717780743472820311991<101>
factorization results 素因数分解の結果
Factors: 88268881228104596965780762695659268881822703766745661889184290608645927940925784717780743472820311991
96147247827292652142968661078568600161086820127865661461784737133518198503

Info:Square Root: Total cpu/real time for sqrt: 3007.16/412.761
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 129.25/223.288
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 223.2s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 251.83/86.1041
Info:Quadratic Characters: Total cpu/real time for characters: 83.03/22.224
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 55021859
Info:Lattice Sieving: Average J: 3790.84 for 539162 special-q, max bucket fill -bkmult 1.0,1s:1.192320
Info:Lattice Sieving: Total time: 251183s
Info:Linear Algebra: Total cpu/real time for bwc: 57867.1/14766.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 36305.36, WCT time 9310.98, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (64000 iterations)
Info:Linear Algebra: Lingen CPU time 777.97, WCT time 99.67
Info:Linear Algebra: Mksol: CPU time 19721.01,  WCT time 5051.65, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (32000 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 37.65/7.31076
Info:Generate Free Relations: Total cpu/real time for freerel: 622.19/81.477
Info:Filtering - Merging: Total cpu/real time for merge: 319.7/52.0337
Info:Filtering - Merging: Total cpu/real time for replay: 62.61/52.3134
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 791.6/198.534
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 166.3s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.44243e+06/23021.9
Info:root: Cleaning up computation data in /tmp/cado.xm7bw1bk
88268881228104596965780762695659268881822703766745661889184290608645927940925784717780743472820311991 96147247827292652142968661078568600161086820127865661461784737133518198503
software ソフトウェア
CADO-NFS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 26, 2007 09:00:00 UTC 2007 年 9 月 26 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 10, 2010 17:15:24 UTC 2010 年 10 月 11 日 (月) 2 時 15 分 24 秒 (日本時間)
403e62510110Ignacio SantosOctober 10, 2010 17:15:24 UTC 2010 年 10 月 11 日 (月) 2 時 15 分 24 秒 (日本時間)
300Dmitry DomanovJanuary 25, 2012 12:26:45 UTC 2012 年 1 月 25 日 (水) 21 時 26 分 45 秒 (日本時間)
1000Dmitry DomanovJanuary 27, 2012 06:29:11 UTC 2012 年 1 月 27 日 (金) 15 時 29 分 11 秒 (日本時間)
1100Dmitry DomanovJanuary 30, 2012 11:10:31 UTC 2012 年 1 月 30 日 (月) 20 時 10 分 31 秒 (日本時間)
4511e6243232Ignacio SantosOctober 10, 2010 17:15:24 UTC 2010 年 10 月 11 日 (月) 2 時 15 分 24 秒 (日本時間)
2400Lionel DebrouxMay 4, 2020 09:50:13 UTC 2020 年 5 月 4 日 (月) 18 時 50 分 13 秒 (日本時間)
5043e61400 / 5947200Dmitry DomanovMarch 11, 2012 18:42:11 UTC 2012 年 3 月 12 日 (月) 3 時 42 分 11 秒 (日本時間)
400Lionel DebrouxMay 5, 2020 19:43:48 UTC 2020 年 5 月 6 日 (水) 4 時 43 分 48 秒 (日本時間)
800Lionel DebrouxMay 6, 2020 10:30:53 UTC 2020 年 5 月 6 日 (水) 19 時 30 分 53 秒 (日本時間)
5511e7400 / 17098Lionel DebrouxMay 6, 2020 10:30:53 UTC 2020 年 5 月 6 日 (水) 19 時 30 分 53 秒 (日本時間)

5×10194+73

c168

name 名前Bob Backstrom
date 日付March 24, 2021 22:34:44 UTC 2021 年 3 月 25 日 (木) 7 時 34 分 44 秒 (日本時間)
composite number 合成数
816092475100815166497386309328444832049031324390939530065921949104549350628549694003830635336188158655682744650785874986694877323787481259665797818499456854390775951791<168>
prime factors 素因数
2561426308186585416468879322042566768949767220528797500298102959796854953977110299<82>
318608609778270242686730888135533325991217765905040469837154588210813828957261610310909<87>
factorization results 素因数分解の結果
Number: n
N=816092475100815166497386309328444832049031324390939530065921949104549350628549694003830635336188158655682744650785874986694877323787481259665797818499456854390775951791  ( 168 digits)
SNFS difficulty: 194 digits.
Divisors found:

Thu Mar 25 09:28:46 2021  p82 factor: 2561426308186585416468879322042566768949767220528797500298102959796854953977110299
Thu Mar 25 09:28:46 2021  p87 factor: 318608609778270242686730888135533325991217765905040469837154588210813828957261610310909
Thu Mar 25 09:28:46 2021  elapsed time 00:42:22 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 5x10^194+7 = 16(193)9
#
n: 816092475100815166497386309328444832049031324390939530065921949104549350628549694003830635336188158655682744650785874986694877323787481259665797818499456854390775951791
m: 500000000000000000000000000000000000000
deg: 5
c5: 16
c0: 7
skew: 0.85
# Murphy_E = 3.774e-11
type: snfs
lss: 1
rlim: 12300000
alim: 12300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12300000/12300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2638497 hash collisions in 29692638 relations (28311331 unique)
Msieve: matrix is 1336644 x 1336870 (466.3 MB)

Sieving start time : 2021/03/25 00:19:23
Sieving end time  : 2021/03/25 07:41:39

Total sieving time: 7hrs 22min 16secs.

Total relation processing time: 0hrs 33min 14sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 30sec.

Prototype def-par.txt line would be:
snfs,194,5,0,0,0,0,0,0,0,0,12300000,12300000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119391] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241112K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486124K reserved, 0K cma-reserved)
[    0.153515] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.47 BogoMIPS (lpj=12798944)
[    0.152034] smpboot: Total of 16 processors activated (102391.55 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 26, 2007 09:00:00 UTC 2007 年 9 月 26 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 10, 2010 18:20:18 UTC 2010 年 10 月 11 日 (月) 3 時 20 分 18 秒 (日本時間)
403e62510110Ignacio SantosOctober 10, 2010 18:20:18 UTC 2010 年 10 月 11 日 (月) 3 時 20 分 18 秒 (日本時間)
300Dmitry DomanovJanuary 25, 2012 12:26:54 UTC 2012 年 1 月 25 日 (水) 21 時 26 分 54 秒 (日本時間)
1000Dmitry DomanovJanuary 27, 2012 06:29:18 UTC 2012 年 1 月 27 日 (金) 15 時 29 分 18 秒 (日本時間)
1100Dmitry DomanovJanuary 30, 2012 11:10:40 UTC 2012 年 1 月 30 日 (月) 20 時 10 分 40 秒 (日本時間)
4511e632 / 3209Ignacio SantosOctober 10, 2010 18:20:18 UTC 2010 年 10 月 11 日 (月) 3 時 20 分 18 秒 (日本時間)
5043e6200 / 7449Dmitry DomanovMarch 11, 2012 18:42:30 UTC 2012 年 3 月 12 日 (月) 3 時 42 分 30 秒 (日本時間)

5×10195+73

c196

name 名前Sinkiti Sibata
date 日付May 17, 2008 12:30:41 UTC 2008 年 5 月 17 日 (土) 21 時 30 分 41 秒 (日本時間)
composite number 合成数
1666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669<196>
prime factors 素因数
70933856352032678645751387076184010145835868792093142469<56>
23496067355978549054213838968500546792259877842124452223684145406670771881352881209782499995258163300154998364416791685762865175855683321801<140>
factorization results 素因数分解の結果
Number: 16669_195
N=1666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669
  ( 196 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=70933856352032678645751387076184010145835868792093142469 (pp56)
 r2=23496067355978549054213838968500546792259877842124452223684145406670771881352881209782499995258163300154998364416791685762865175855683321801 (pp140)
Version: GGNFS-0.77.1-20060513-k8
Total time: 2741.50 hours.
Scaled time: 5510.41 units (timescale=2.010).
Factorization parameters were as follows:
name: 16669_195
n: 1666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669
m: 1000000000000000000000000000000000000000
c5: 5
c0: 7
skew: 1.07
type: snfs
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3700000, 37900000
)
Primes: RFBsize:501962, AFBsize:501136, largePrimes:8055645 encountered
Relations: rels:8992598, finalFF:1135865
Max relations in full relation-set: 28
Initial matrix: 1003163 x 1135865 with sparse part having weight 171400953.
Pruned matrix : 919129 x 924208 with weight 156929395.
Total sieving time: 2711.16 hours.
Total relation processing time: 3.34 hours.
Matrix solve time: 26.46 hours.
Time per square root: 0.54 hours.
Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000
total time: 2741.50 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

5×10196+73

c186

name 名前Ignacio Santos
date 日付October 10, 2010 18:43:19 UTC 2010 年 10 月 11 日 (月) 3 時 43 分 19 秒 (日本時間)
composite number 合成数
714258284818672500113617815337305294199198305184411257318825383563904742333525738530163069462973389430018496130698113178691943698931086096353365110729851742987330959197163783101324872377<186>
prime factors 素因数
16402106297724606188866718960606449799<38>
composite cofactor 合成数の残り
43546741610725842355361611284919953842206348069759088461123583251987034380295499217683491440696246670683140030922624163070834295212335457783698873023<149>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4290944195
Step 1 took 27565ms
Step 2 took 14649ms
********** Factor found in step 2: 16402106297724606188866718960606449799
Found probable prime factor of 38 digits: 16402106297724606188866718960606449799
Composite cofactor 43546741610725842355361611284919953842206348069759088461123583251987034380295499217683491440696246670683140030922624163070834295212335457783698873023 has 149 digits
software ソフトウェア
GMP-ECM 6.3

c149

name 名前anonymous
date 日付April 3, 2021 21:58:24 UTC 2021 年 4 月 4 日 (日) 6 時 58 分 24 秒 (日本時間)
composite number 合成数
43546741610725842355361611284919953842206348069759088461123583251987034380295499217683491440696246670683140030922624163070834295212335457783698873023<149>
prime factors 素因数
43014712790430057263548810624277314881022816645456752341812673051182611397<74>
1012368531271796640423411133672267474468071829577392904336289016723149639859<76>
factorization results 素因数分解の結果
p74:43014712790430057263548810624277314881022816645456752341812673051182611397
p76:1012368531271796640423411133672267474468071829577392904336289016723149639859
software ソフトウェア
factordb, July 10, 2020, http://factordb.com/index.php?id=1000000000023850220

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 26, 2007 09:00:00 UTC 2007 年 9 月 26 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 13, 2010 20:03:20 UTC 2010 年 10 月 14 日 (木) 5 時 3 分 20 秒 (日本時間)
403e62510110Ignacio SantosOctober 13, 2010 20:03:20 UTC 2010 年 10 月 14 日 (木) 5 時 3 分 20 秒 (日本時間)
300Dmitry DomanovJanuary 25, 2012 12:27:02 UTC 2012 年 1 月 25 日 (水) 21 時 27 分 2 秒 (日本時間)
1000Dmitry DomanovJanuary 27, 2012 06:29:27 UTC 2012 年 1 月 27 日 (金) 15 時 29 分 27 秒 (日本時間)
1100Dmitry DomanovJanuary 30, 2012 11:10:48 UTC 2012 年 1 月 30 日 (月) 20 時 10 分 48 秒 (日本時間)
4511e632 / 3209Ignacio SantosOctober 13, 2010 20:03:20 UTC 2010 年 10 月 14 日 (木) 5 時 3 分 20 秒 (日本時間)
5043e6200 / 7449Dmitry DomanovMarch 11, 2012 18:42:43 UTC 2012 年 3 月 12 日 (月) 3 時 42 分 43 秒 (日本時間)

5×10197+73

c196

name 名前anonymous
date 日付October 19, 2007 09:27:00 UTC 2007 年 10 月 19 日 (金) 18 時 27 分 0 秒 (日本時間)
composite number 合成数
2008032128514056224899598393574297188755020080321285140562248995983935742971887550200803212851405622489959839357429718875502008032128514056224899598393574297188755020080321285140562248995983935743<196>
prime factors 素因数
15064399083367851403807447165139<32>
133296530276542123994572514856391958946944378887295148756651456417065116602615650106241786028692598529148978098311741021285646641176103363192439421156437978817430437<165>
factorization results 素因数分解の結果
GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 2008032128514056224899598393574297188755020080321285140562248995983935742971887550200803212851405622489959839357429718875502008032128514056224899598393574297188755020080321285140562248995983935743 (196 digits)
Using B1=100000000, B2=593887176568, polynomial Dickson(30), sigma=1724141784
Step 1 took 3102027ms
Step 2 took 841842ms
********** Factor found in step 2: 15064399083367851403807447165139
Found probable prime factor of 32 digits: 15064399083367851403807447165139
Probable prime cofactor 133296530276542123994572514856391958946944378887295148756651456417065116602615650106241786028692598529148978098311741021285646641176103363192439421156437978817430437 has 165 digits

5×10198+73

c134

name 名前matsui
date 日付October 30, 2007 15:54:58 UTC 2007 年 10 月 31 日 (水) 0 時 54 分 58 秒 (日本時間)
composite number 合成数
42681049083605070387561350016581219995346592811051974969044259223708613891871124039755555423491864706060374157186864097630219924800349<134>
prime factors 素因数
78356711420850326025452572618724188949<38>
5527668366912659164266442169275274462403349<43>
98540986433720343595658132228977073747961703420580549<53>
factorization results 素因数分解の結果
GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 42681049083605070387561350016581219995346592811051974969044259223708613891871124039755555423491864706060374157186864097630219924800349 (134 digits)
Using B1=8388608, B2=17383866417, polynomial Dickson(12), sigma=3204964667
Step 1 took 136847ms
Step 2 took 52082ms
********** Factor found in step 2: 78356711420850326025452572618724188949
Found probable prime factor of 38 digits: 78356711420850326025452572618724188949
Composite cofactor 544701893554045433308960176856493584238047123991780229944957430596045391939641256466627381858601 has 96 digits


Msieve v. 1.26
factoring 544701893554045433308960176856493584238047123991780229944957430596045391939641256466627381858601 (96 digits)
prp43 factor: 5527668366912659164266442169275274462403349
prp53 factor: 98540986433720343595658132228977073747961703420580549
software ソフトウェア
GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM] ;Msieve v. 1.26

5×10199+73

c149

name 名前anonymous
date 日付April 3, 2021 21:59:45 UTC 2021 年 4 月 4 日 (日) 6 時 59 分 45 秒 (日本時間)
composite number 合成数
25328692219440453056157841305940617565788705871563849587059061539436161440782567904316984477757471658435325243607867290867925898350223790551390908323<149>
prime factors 素因数
7001012641635997467342671221958604168292513810963943188681454657340621119<73>
3617861231789126043308156959958138253836736615130686476112384536412482114717<76>
factorization results 素因数分解の結果
p73:7001012641635997467342671221958604168292513810963943188681454657340621119
p76:3617861231789126043308156959958138253836736615130686476112384536412482114717
software ソフトウェア
factordb, July 14, 2020

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 26, 2007 09:00:00 UTC 2007 年 9 月 26 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 10, 2010 20:53:12 UTC 2010 年 10 月 11 日 (月) 5 時 53 分 12 秒 (日本時間)
403e62510110Ignacio SantosOctober 10, 2010 20:53:12 UTC 2010 年 10 月 11 日 (月) 5 時 53 分 12 秒 (日本時間)
300Dmitry DomanovJanuary 25, 2012 12:27:12 UTC 2012 年 1 月 25 日 (水) 21 時 27 分 12 秒 (日本時間)
1000Dmitry DomanovJanuary 27, 2012 06:29:38 UTC 2012 年 1 月 27 日 (金) 15 時 29 分 38 秒 (日本時間)
1100Dmitry DomanovJanuary 30, 2012 11:10:58 UTC 2012 年 1 月 30 日 (月) 20 時 10 分 58 秒 (日本時間)
4511e632 / 3910Ignacio SantosOctober 10, 2010 20:53:12 UTC 2010 年 10 月 11 日 (月) 5 時 53 分 12 秒 (日本時間)

5×10200+73

c200

name 名前matsui
date 日付January 18, 2008 12:19:39 UTC 2008 年 1 月 18 日 (金) 21 時 19 分 39 秒 (日本時間)
composite number 合成数
12820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820513<200>
prime factors 素因数
1715594718690854847659598110202544048758877<43>
composite cofactor 合成数の残り
7472926257488112167078933876668962989538550274994875554580903056006003718702207791126018309714959671296814070741865292739422577672509829862325988145378354069<157>
factorization results 素因数分解の結果
GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]

Input number is 12820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820512820513 (200 digits)

Using B1=60911776, B2=388130449990, polynomial Dickson(30), sigma=2515448230

Step 1 took 2026609ms

Step 2 took 547181ms

********** Factor found in step 2: 1715594718690854847659598110202544048758877

Found probable prime factor of 43 digits: 1715594718690854847659598110202544048758877

Composite cofactor 7472926257488112167078933876668962989538550274994875554580903056006003718702207791126018309714959671296814070741865292739422577672509829862325988145378354069 has 157 digits

c157

name 名前matsui
date 日付June 26, 2010 19:05:43 UTC 2010 年 6 月 27 日 (日) 4 時 5 分 43 秒 (日本時間)
composite number 合成数
7472926257488112167078933876668962989538550274994875554580903056006003718702207791126018309714959671296814070741865292739422577672509829862325988145378354069<157>
prime factors 素因数
124639235727460860390820331097874740546359865590761481006974313139203<69>
59956451223983688392338954695888234962642416483637300917604431940435746382281622602930823<89>
factorization results 素因数分解の結果
N=7472926257488112167078933876668962989538550274994875554580903056006003718702207791126018309714959671296814070741865292739422577672509829862325988145378354069
  ( 157 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=124639235727460860390820331097874740546359865590761481006974313139203 (pp69)
 r2=59956451223983688392338954695888234962642416483637300917604431940435746382281622602930823 (pp89)
Version: Msieve v. 1.46
Total time:
Scaled time: 8.89 units (timescale=1.269).
Factorization parameters were as follows:
n: 7472926257488112167078933876668962989538550274994875554580903056006003718702207791126018309714959671296814070741865292739422577672509829862325988145378354069
m: 10000000000000000000000000000000000000000
deg: 5
c5: 5
c0: 7
skew: 1.07
type: snfs
lss: 1
rlim: 15500000
alim: 15500000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 15500000/15500000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [7750000, 15750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2304936 x 2305169
Total sieving time:
Total relation processing time:
Matrix solve time: 
Time per square root: 
Prototype def-par.txt line would be:
snfs,200.000,5,0,0,0,0,0,0,0,0,15500000,15500000,29,29,56,56,2.6,2.6,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 26, 2007 09:00:00 UTC 2007 年 9 月 26 日 (水) 18 時 0 分 0 秒 (日本時間)

5×10202+73

c195

name 名前Bob Backstrom
date 日付May 2, 2021 05:10:36 UTC 2021 年 5 月 2 日 (日) 14 時 10 分 36 秒 (日本時間)
composite number 合成数
594956277198649320740203191133666458872237292266404904943300131322319240949069969702089566169662801033448572794489048514864786250236777724418132463421582364991420908969678636389722492044809869763<195>
prime factors 素因数
858313647203197148459933722885604391512389006682602672537956097575970190662903<78>
693168842342546824931148171531157913726737645498862246315882788571014276221954949083537512541809256632934884899369621<117>
factorization results 素因数分解の結果
Number: n
N=594956277198649320740203191133666458872237292266404904943300131322319240949069969702089566169662801033448572794489048514864786250236777724418132463421582364991420908969678636389722492044809869763
  ( 195 digits)
SNFS difficulty: 202 digits.
Divisors found:

Sun May  2 15:04:23 2021  p78 factor: 858313647203197148459933722885604391512389006682602672537956097575970190662903
Sun May  2 15:04:23 2021  p117 factor: 693168842342546824931148171531157913726737645498862246315882788571014276221954949083537512541809256632934884899369621
Sun May  2 15:04:23 2021  elapsed time 01:32:48 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.343).
Factorization parameters were as follows:
#
# N = 5x10^202+7 = 16(201)9
#
n: 594956277198649320740203191133666458872237292266404904943300131322319240949069969702089566169662801033448572794489048514864786250236777724418132463421582364991420908969678636389722492044809869763
m: 10000000000000000000000000000000000000000
deg: 5
c5: 500
c0: 7
skew: 0.43
# Murphy_E = 1.406e-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 9614611 hash collisions in 67511436 relations (60753174 unique)
Msieve: matrix is 1893230 x 1893459 (651.9 MB)

Sieving start time : 2021/05/02 04:07:49
Sieving end time  : 2021/05/02 13:30:04

Total sieving time: 9hrs 22min 15secs.

Total relation processing time: 1hrs 8min 31sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 31sec.

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 KamadaJanuary 22, 2012 12:00:00 UTC 2012 年 1 月 22 日 (日) 21 時 0 分 0 秒 (日本時間)
403e62700300Lionel DebrouxJanuary 24, 2012 14:21:25 UTC 2012 年 1 月 24 日 (火) 23 時 21 分 25 秒 (日本時間)
300Dmitry DomanovJanuary 25, 2012 12:27:21 UTC 2012 年 1 月 25 日 (水) 21 時 27 分 21 秒 (日本時間)
1000Dmitry DomanovJanuary 27, 2012 06:29:48 UTC 2012 年 1 月 27 日 (金) 15 時 29 分 48 秒 (日本時間)
1100Dmitry DomanovJanuary 30, 2012 11:11:07 UTC 2012 年 1 月 30 日 (月) 20 時 11 分 7 秒 (日本時間)
4511e60 / 1422--
5043e6700 / 7451200Dmitry DomanovMarch 17, 2012 20:31:43 UTC 2012 年 3 月 18 日 (日) 5 時 31 分 43 秒 (日本時間)
500Dmitry DomanovApril 7, 2012 19:19:06 UTC 2012 年 4 月 8 日 (日) 4 時 19 分 6 秒 (日本時間)

5×10203+73

c195

name 名前Bob Backstrom
date 日付May 4, 2021 10:10:30 UTC 2021 年 5 月 4 日 (火) 19 時 10 分 30 秒 (日本時間)
composite number 合成数
298581702219264694821042509872963774831161348215029945173944136141021528154564248260397464186926759372093118649195932285078545383302340343635782104525622746078762782431216403575669474503316310241<195>
prime factors 素因数
91082466952185095089263627419257872870252790827025862955032093671<65>
3278146850985151453839380568347513296397267879881012240849141366663203810915159182662010592636617984049320916544005543543770567671<130>
factorization results 素因数分解の結果
Number: n
N=298581702219264694821042509872963774831161348215029945173944136141021528154564248260397464186926759372093118649195932285078545383302340343635782104525622746078762782431216403575669474503316310241
  ( 195 digits)
SNFS difficulty: 204 digits.
Divisors found:

Tue May  4 20:05:16 2021  p65 factor: 91082466952185095089263627419257872870252790827025862955032093671
Tue May  4 20:05:16 2021  p130 factor: 3278146850985151453839380568347513296397267879881012240849141366663203810915159182662010592636617984049320916544005543543770567671
Tue May  4 20:05:16 2021  elapsed time 01:59:50 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 5x10^203+7 = 16(202)9
#
n: 298581702219264694821042509872963774831161348215029945173944136141021528154564248260397464186926759372093118649195932285078545383302340343635782104525622746078762782431216403575669474503316310241
m: 50000000000000000000000000000000000000000
deg: 5
c5: 8
c0: 35
skew: 1.34
# Murphy_E = 1.154e-11
type: snfs
lss: 1
rlim: 17900000
alim: 17900000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17900000/17900000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 28950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7297383 hash collisions in 54810984 relations (49657110 unique)
Msieve: matrix is 2146689 x 2146915 (745.1 MB)

Sieving start time : 2021/05/04 08:17:49
Sieving end time  : 2021/05/04 18:04:12

Total sieving time: 9hrs 46min 23secs.

Total relation processing time: 1hrs 28min 52sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 28sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,17900000,17900000,29,29,56,56,2.6,2.6,100000
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 KamadaJanuary 22, 2012 12:00:00 UTC 2012 年 1 月 22 日 (日) 21 時 0 分 0 秒 (日本時間)
403e62400300Dmitry DomanovJanuary 25, 2012 12:27:29 UTC 2012 年 1 月 25 日 (水) 21 時 27 分 29 秒 (日本時間)
1000Dmitry DomanovJanuary 27, 2012 06:30:00 UTC 2012 年 1 月 27 日 (金) 15 時 30 分 0 秒 (日本時間)
1100Dmitry DomanovJanuary 30, 2012 11:11:15 UTC 2012 年 1 月 30 日 (月) 20 時 11 分 15 秒 (日本時間)
4511e60 / 1489--
5043e6700 / 7462200Dmitry DomanovMarch 17, 2012 20:32:02 UTC 2012 年 3 月 18 日 (日) 5 時 32 分 2 秒 (日本時間)
500Dmitry DomanovApril 7, 2012 19:18:53 UTC 2012 年 4 月 8 日 (日) 4 時 18 分 53 秒 (日本時間)

5×10204+73

c144

name 名前Dmitry Domanov
date 日付January 26, 2012 14:21:18 UTC 2012 年 1 月 26 日 (木) 23 時 21 分 18 秒 (日本時間)
composite number 合成数
410910401323888390709649267521010387540681846684759230761378124637440569658054889335093392781276591621441217490916368820808765323350255474996571<144>
prime factors 素因数
322126800646114258781437096110161<33>
3487123776834176342524040537642132050109951778706181<52>
365807758530969295699790419195439641953999552861650344349231<60>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2281742204
Step 1 took 17073ms
Step 2 took 7101ms
********** Factor found in step 2: 322126800646114258781437096110161
Found probable prime factor of 33 digits: 322126800646114258781437096110161

N=1275616932523758041438995084248824235062464840796603968876304585691582373972523237620285419568453303205602296811
  ( 112 digits)
Divisors found:
 r1=3487123776834176342524040537642132050109951778706181 (pp52)
 r2=365807758530969295699790419195439641953999552861650344349231 (pp60)
Version: Msieve-1.40
Total time: 17.92 hours.
Scaled time: 35.07 units (timescale=1.957).
Factorization parameters were as follows:
name: k001
n: 1275616932523758041438995084248824235062464840796603968876304585691582373972523237620285419568453303205602296811
skew: 21170.74
# norm 3.65e+015
c5: 13020
c4: 2246569404
c3: 167241265394164
c2: -351092978839023647
c1: -15123187199640178819576
c0: -11768662095046980198853309
# alpha -6.25
Y1: 45348809693
Y0: -2501621418151745279226
# Murphy_E 8.94e-010
# M 846256599016516551402521209646924827344825690463905151212759716497337104352102357397302830780046273635147283097
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 372987 x 373212
Polynomial selection time: 1.85 hours.
Total sieving time: 15.71 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.18 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
gnfs,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 17.92 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 22, 2012 12:00:00 UTC 2012 年 1 月 22 日 (日) 21 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovJanuary 25, 2012 12:27:39 UTC 2012 年 1 月 25 日 (水) 21 時 27 分 39 秒 (日本時間)

5×10205+73

c185

name 名前Warut Roonguthai
date 日付January 22, 2012 13:35:16 UTC 2012 年 1 月 22 日 (日) 22 時 35 分 16 秒 (日本時間)
composite number 合成数
11898022344713659878604833942789727092094334680577953411048910106480809627956823043570049890851357419052278065235817649498198348850312085781952850567403509778259457819826932047128880861<185>
prime factors 素因数
3726535001085289693837928354011<31>
composite cofactor 合成数の残り
3192784273124649040552371295088964752630290832360673797002841673586387552966269636161846761292589671731003475598644644013442447868375403489040175177693351<154>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1570675980
Step 1 took 8548ms
Step 2 took 5336ms
********** Factor found in step 2: 3726535001085289693837928354011
Found probable prime factor of 31 digits: 3726535001085289693837928354011
Composite cofactor 3192784273124649040552371295088964752630290832360673797002841673586387552966269636161846761292589671731003475598644644013442447868375403489040175177693351 has 154 digits
software ソフトウェア
GMP-ECM 6.3

c154

name 名前Dmitry Domanov
date 日付January 25, 2012 12:33:13 UTC 2012 年 1 月 25 日 (水) 21 時 33 分 13 秒 (日本時間)
composite number 合成数
3192784273124649040552371295088964752630290832360673797002841673586387552966269636161846761292589671731003475598644644013442447868375403489040175177693351<154>
prime factors 素因数
1184200116571268412074084557581681767<37>
2696152642147201243783354007577436743610529335224104460845930548301969338561969269345772059044550291063314054901449153<118>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1779962858
Step 1 took 16384ms
Step 2 took 7451ms
********** Factor found in step 2: 1184200116571268412074084557581681767
Found probable prime factor of 37 digits: 1184200116571268412074084557581681767

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 22, 2012 12:00:00 UTC 2012 年 1 月 22 日 (日) 21 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovJanuary 25, 2012 12:27:52 UTC 2012 年 1 月 25 日 (水) 21 時 27 分 52 秒 (日本時間)

5×10206+73

c199

name 名前Bob Backstrom
date 日付April 21, 2021 21:21:20 UTC 2021 年 4 月 22 日 (木) 6 時 21 分 20 秒 (日本時間)
composite number 合成数
7454787718881326801925440463523194401585627383975883105708099646239012630661741676069763155877628228275320995331647925106697767444646822051578155450245248351854529777262423332913032401742804128240777<199>
prime factors 素因数
134087994975155257990625761366742736114630438604835170186317782596043<69>
55596235295058300517683407762269110544341568480473697546300375953169146230558311100467837233864529177844794860709493101136911855739<131>
factorization results 素因数分解の結果
Number: n
N=7454787718881326801925440463523194401585627383975883105708099646239012630661741676069763155877628228275320995331647925106697767444646822051578155450245248351854529777262423332913032401742804128240777
  ( 199 digits)
SNFS difficulty: 206 digits.
Divisors found:

Thu Apr 22 07:07:12 2021  p69 factor: 134087994975155257990625761366742736114630438604835170186317782596043
Thu Apr 22 07:07:12 2021  p131 factor: 55596235295058300517683407762269110544341568480473697546300375953169146230558311100467837233864529177844794860709493101136911855739
Thu Apr 22 07:07:12 2021  elapsed time 02:27:56 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 5x10^206+7 = 16(205)9
#
n: 7454787718881326801925440463523194401585627383975883105708099646239012630661741676069763155877628228275320995331647925106697767444646822051578155450245248351854529777262423332913032401742804128240777
m: 100000000000000000000000000000000000000000
deg: 5
c5: 50
c0: 7
skew: 0.67
# Murphy_E = 8.495e-12
type: snfs
lss: 1
rlim: 19500000
alim: 19500000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19500000/19500000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 36950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7475848 hash collisions in 53225038 relations (47676093 unique)
Msieve: matrix is 2502840 x 2503065 (870.7 MB)

Sieving start time : 2021/04/21 16:15:17
Sieving end time  : 2021/04/22 04:38:24

Total sieving time: 12hrs 23min 7secs.

Total relation processing time: 2hrs 3min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 0sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19500000,19500000,29,29,56,56,2.6,2.6,100000
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 KamadaJanuary 22, 2012 12:00:00 UTC 2012 年 1 月 22 日 (日) 21 時 0 分 0 秒 (日本時間)
403e62400300Dmitry DomanovJanuary 25, 2012 12:28:00 UTC 2012 年 1 月 25 日 (水) 21 時 28 分 0 秒 (日本時間)
1000Dmitry DomanovJanuary 27, 2012 06:30:15 UTC 2012 年 1 月 27 日 (金) 15 時 30 分 15 秒 (日本時間)
1100Dmitry DomanovJanuary 30, 2012 11:11:25 UTC 2012 年 1 月 30 日 (月) 20 時 11 分 25 秒 (日本時間)
4511e60 / 1489--
5043e6700 / 7462200Dmitry DomanovMarch 17, 2012 20:32:16 UTC 2012 年 3 月 18 日 (日) 5 時 32 分 16 秒 (日本時間)
500Dmitry DomanovApril 7, 2012 19:18:12 UTC 2012 年 4 月 8 日 (日) 4 時 18 分 12 秒 (日本時間)

5×10207+73

c208

name 名前Erik Branger
date 日付February 24, 2012 16:49:59 UTC 2012 年 2 月 25 日 (土) 1 時 49 分 59 秒 (日本時間)
composite number 合成数
1666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669<208>
prime factors 素因数
135836607039642544141499674743331633732801551041<48>
12269642940803628912679031557344387132774147214048241517561036997628664231145398436874973325009164333121017936482513897033652485489801266907533853724322198595309<161>
factorization results 素因数分解の結果
Number: 16669_207
N = 1666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669 (208 digits)
SNFS difficulty: 208 digits.
Divisors found:
r1=135836607039642544141499674743331633732801551041 (pp48)
r2=12269642940803628912679031557344387132774147214048241517561036997628664231145398436874973325009164333121017936482513897033652485489801266907533853724322198595309 (pp161)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 841.66 hours.
Factorization parameters were as follows:
n: 1666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669
m: 100000000000000000000000000000000000000000
deg: 5
c5: 500
c0: 7
skew: 0.43
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [10000000, 23200000)
Relations: 46191139
Relations in full relation-set: 5238318 relations
Pruned matrix : 3352604 x 3352830
Polynomial selection time: 0.00 hours.
Total sieving time: 829.82 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 11.13 hours.
time per square root: 0.42 hours.
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 22, 2012 12:00:00 UTC 2012 年 1 月 22 日 (日) 21 時 0 分 0 秒 (日本時間)
403e62400300Dmitry DomanovJanuary 25, 2012 12:28:07 UTC 2012 年 1 月 25 日 (水) 21 時 28 分 7 秒 (日本時間)
1000Dmitry DomanovJanuary 27, 2012 06:30:24 UTC 2012 年 1 月 27 日 (金) 15 時 30 分 24 秒 (日本時間)
1100Dmitry DomanovJanuary 30, 2012 11:11:33 UTC 2012 年 1 月 30 日 (月) 20 時 11 分 33 秒 (日本時間)
4511e64000Erik BrangerFebruary 14, 2012 23:08:09 UTC 2012 年 2 月 15 日 (水) 8 時 8 分 9 秒 (日本時間)

5×10208+73

c187

name 名前Bob Backstrom
date 日付May 31, 2021 01:12:53 UTC 2021 年 5 月 31 日 (月) 10 時 12 分 53 秒 (日本時間)
composite number 合成数
1325791967758519454469819835484880070375657137360067798675792004979834946849757509479625640465077783016889314910591719464032519985321428721027036850499205357111986226743099221161616754341<187>
prime factors 素因数
26727934436173243158211327986769332654671417<44>
49603233310996514361306384183958591897588914512917048883782853941108462752806818059644905554675411832348831159432743562159580628855458209997773<143>
factorization results 素因数分解の結果
#
# N = 5x10^208+7 = 16(207)9
#
n: 1325791967758519454469819835484880070375657137360067798675792004979834946849757509479625640465077783016889314910591719464032519985321428721027036850499205357111986226743099221161616754341
m: 500000000000000000000000000000000000000000
deg: 5
c5: 8
c0: 35
skew: 1.34
# Murphy_E = 7.096e-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 1325791967758519454469819835484880070375657137360067798675792004979834946849757509479625640465077783016889314910591719464032519985321428721027036850499205357111986226743099221161616754341 (187 digits)
Using B1=44030000, B2=240491351116, polynomial Dickson(12), sigma=1:4231314027
Step 1 took 117061ms
Step 2 took 39523ms
********** Factor found in step 2: 26727934436173243158211327986769332654671417
Found prime factor of 44 digits: 26727934436173243158211327986769332654671417
Prime cofactor 49603233310996514361306384183958591897588914512917048883782853941108462752806818059644905554675411832348831159432743562159580628855458209997773 has 143 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 22, 2012 12:00:00 UTC 2012 年 1 月 22 日 (日) 21 時 0 分 0 秒 (日本時間)
403e62400300Dmitry DomanovJanuary 25, 2012 12:28:14 UTC 2012 年 1 月 25 日 (水) 21 時 28 分 14 秒 (日本時間)
1000Dmitry DomanovJanuary 27, 2012 06:30:32 UTC 2012 年 1 月 27 日 (金) 15 時 30 分 32 秒 (日本時間)
1100Dmitry DomanovJanuary 30, 2012 11:11:40 UTC 2012 年 1 月 30 日 (月) 20 時 11 分 40 秒 (日本時間)
4511e60 / 2366--
5043e6450 / 7462200Dmitry DomanovMarch 17, 2012 20:32:33 UTC 2012 年 3 月 18 日 (日) 5 時 32 分 33 秒 (日本時間)
250Dmitry DomanovApril 7, 2012 19:19:31 UTC 2012 年 4 月 8 日 (日) 4 時 19 分 31 秒 (日本時間)

5×10212+73

c188

name 名前ebina
date 日付September 13, 2021 09:28:20 UTC 2021 年 9 月 13 日 (月) 18 時 28 分 20 秒 (日本時間)
composite number 合成数
35204252520957087573221266789910696172338829413145054546711560375304217874038974407291470865969160328631760728940348454018382110604417366768673918156134006927353652630683965680110433112391<188>
prime factors 素因数
1342895103446485899848284442837014335462588366512777574775091620456393<70>
26215191663598146380018785111671910476336465651785613713983943221567007882276063041582444374568449970082033712059193487<119>
factorization results 素因数分解の結果
Number: 1558
N = 35204252520957087573221266789910696172338829413145054546711560375304217874038974407291470865969160328631760728940348454018382110604417366768673918156134006927353652630683965680110433112391 (188 digits)
SNFS difficulty: 213 digits.
Divisors found:
Version: Msieve v. 1.53 (SVN unknown)
Total time: 44.18 hours.
Factorization parameters were as follows:
n: 35204252520957087573221266789910696172338829413145054546711560375304217874038974407291470865969160328631760728940348454018382110604417366768673918156134006927353652630683965680110433112391
m: 1000000000000000000000000000000000000000000
c5: 500
c0: 7
type: snfs

Factor base limits: 24800000/24800000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 43972858
Relations: 7571974 relations
Pruned matrix : 4624491 x 4624720
Polynomial selection time: 0.00 hours.
Total sieving time: 39.83 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 4.01 hours.
time per square root: 0.10 hours.
Prototype def-par.txt line would be: snfs,213,5,0,0,0,0,0,0,0,0,24800000,24800000,29,29,58,58,2.6,2.6,100000
total time: 44.18 hours.
Intel64 Family 6 Model 158 Stepping 12, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 16, speed: 3.60GHz

Fri Jan 18 04:13:57 2019  Msieve v. 1.53 (SVN unknown)
Fri Jan 18 04:13:57 2019  random seeds: 762398c0 9db6aab0
Fri Jan 18 04:13:57 2019  factoring 35204252520957087573221266789910696172338829413145054546711560375304217874038974407291470865969160328631760728940348454018382110604417366768673918156134006927353652630683965680110433112391 (188 digits)
Fri Jan 18 04:13:57 2019  searching for 15-digit factors
Fri Jan 18 04:13:58 2019  commencing number field sieve (188-digit input)
Fri Jan 18 04:13:58 2019  R0: -1000000000000000000000000000000000000000000
Fri Jan 18 04:13:58 2019  R1: 1
Fri Jan 18 04:13:58 2019  A0: 7
Fri Jan 18 04:13:58 2019  A1: 0
Fri Jan 18 04:13:58 2019  A2: 0
Fri Jan 18 04:13:58 2019  A3: 0
Fri Jan 18 04:13:58 2019  A4: 0
Fri Jan 18 04:13:58 2019  A5: 500
Fri Jan 18 04:13:58 2019  skew 0.43, size 1.032e-14, alpha -0.236, combined = 4.702e-12 rroots = 1
Fri Jan 18 04:13:58 2019  
Fri Jan 18 04:13:58 2019  commencing square root phase
Fri Jan 18 04:13:58 2019  reading relations for dependency 1
Fri Jan 18 04:13:58 2019  read 2309958 cycles
Fri Jan 18 04:14:00 2019  cycles contain 7571974 unique relations
Fri Jan 18 04:14:48 2019  read 7571974 relations
Fri Jan 18 04:15:11 2019  multiplying 7571974 relations
Fri Jan 18 04:17:18 2019  multiply complete, coefficients have about 246.08 million bits
Fri Jan 18 04:17:19 2019  initial square root is modulo 677798491
Fri Jan 18 04:20:10 2019  sqrtTime: 372
Fri Jan 18 04:20:10 2019  p70 factor: 1342895103446485899848284442837014335462588366512777574775091620456393
Fri Jan 18 04:20:10 2019  p119 factor: 26215191663598146380018785111671910476336465651785613713983943221567007882276063041582444374568449970082033712059193487
Fri Jan 18 04:20:10 2019  elapsed time 00:06:13
Fri Jan 18 04:20:10 2019 -> Computing 1.54775e+09 scale for this machine...
Fri Jan 18 04:20:10 2019 -> procrels -speedtest> PIPE
Fri Jan 18 04:20:11 2019 -> Factorization summary written to s213-1558.txt

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 22, 2012 12:00:00 UTC 2012 年 1 月 22 日 (日) 21 時 0 分 0 秒 (日本時間)
403e62400300Dmitry DomanovJanuary 25, 2012 12:28:22 UTC 2012 年 1 月 25 日 (水) 21 時 28 分 22 秒 (日本時間)
1000Dmitry DomanovJanuary 27, 2012 06:30:40 UTC 2012 年 1 月 27 日 (金) 15 時 30 分 40 秒 (日本時間)
1100Dmitry DomanovJanuary 30, 2012 11:11:49 UTC 2012 年 1 月 30 日 (月) 20 時 11 分 49 秒 (日本時間)
4511e60 / 2366--
5043e6450 / 7462200Dmitry DomanovMarch 11, 2012 18:44:22 UTC 2012 年 3 月 12 日 (月) 3 時 44 分 22 秒 (日本時間)
250Dmitry DomanovApril 7, 2012 19:19:50 UTC 2012 年 4 月 8 日 (日) 4 時 19 分 50 秒 (日本時間)

5×10213+73

c190

name 名前ebina
date 日付September 6, 2021 14:34:12 UTC 2021 年 9 月 6 日 (月) 23 時 34 分 12 秒 (日本時間)
composite number 合成数
1370631740432999923400459663544749328518375712377701360129170733402270158101286560582382482798287713580551627820442901932368871803459536081752794926732822169583484351884095018768090382184203<190>
prime factors 素因数
2072394711159037300586091381747924892042335125249<49>
661375814680805030852396054262384687199315866444555573103883613371768152045945690891078841744238709190883033575956879042491836252484200577547<141>
factorization results 素因数分解の結果
Number: 1072
N = 1370631740432999923400459663544749328518375712377701360129170733402270158101286560582382482798287713580551627820442901932368871803459536081752794926732822169583484351884095018768090382184203 (190 digits)
SNFS difficulty: 214 digits.
Divisors found:
Version: Msieve v. 1.53 (SVN unknown)
Total time: 278.81 hours.
Factorization parameters were as follows:
n: 1370631740432999923400459663544749328518375712377701360129170733402270158101286560582382482798287713580551627820442901932368871803459536081752794926732822169583484351884095018768090382184203
m: 1000000000000000000000000000000000000000000
c5: 5000
c0: 7
type: snfs

Factor base limits: 25800000/25800000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 46726337
Relations: 8532482 relations
Pruned matrix : 5275338 x 5275563
Polynomial selection time: 0.00 hours.
Total sieving time: 256.06 hours.
Total relation processing time: 0.49 hours.
Matrix solve time: 21.90 hours.
time per square root: 0.37 hours.
Prototype def-par.txt line would be: snfs,214,5,0,0,0,0,0,0,0,0,25800000,25800000,29,29,58,58,2.6,2.6,100000
total time: 278.81 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.19GHz

Fri May  5 23:06:41 2017  Msieve v. 1.53 (SVN unknown)
Fri May  5 23:06:41 2017  random seeds: fd72fc80 7066f83b
Fri May  5 23:06:41 2017  factoring 1370631740432999923400459663544749328518375712377701360129170733402270158101286560582382482798287713580551627820442901932368871803459536081752794926732822169583484351884095018768090382184203 (190 digits)
Fri May  5 23:06:43 2017  searching for 15-digit factors
Fri May  5 23:06:43 2017  commencing number field sieve (190-digit input)
Fri May  5 23:06:43 2017  R0: -1000000000000000000000000000000000000000000
Fri May  5 23:06:43 2017  R1: 1
Fri May  5 23:06:43 2017  A0: 7
Fri May  5 23:06:43 2017  A1: 0
Fri May  5 23:06:43 2017  A2: 0
Fri May  5 23:06:43 2017  A3: 0
Fri May  5 23:06:43 2017  A4: 0
Fri May  5 23:06:43 2017  A5: 5000
Fri May  5 23:06:43 2017  skew 0.27, size 5.807e-15, alpha 0.109, combined = 3.388e-12 rroots = 1
Fri May  5 23:06:43 2017  
Fri May  5 23:06:43 2017  commencing square root phase
Fri May  5 23:06:43 2017  reading relations for dependency 1
Fri May  5 23:06:45 2017  read 2636899 cycles
Fri May  5 23:06:50 2017  cycles contain 8532482 unique relations
Fri May  5 23:08:55 2017  read 8532482 relations
Fri May  5 23:09:54 2017  multiplying 8532482 relations
Fri May  5 23:18:23 2017  multiply complete, coefficients have about 303.91 million bits
Fri May  5 23:18:25 2017  initial square root is modulo 284041
Fri May  5 23:28:54 2017  sqrtTime: 1331
Fri May  5 23:28:54 2017  p49 factor: 2072394711159037300586091381747924892042335125249
Fri May  5 23:28:54 2017  p141 factor: 661375814680805030852396054262384687199315866444555573103883613371768152045945690891078841744238709190883033575956879042491836252484200577547
Fri May  5 23:28:54 2017  elapsed time 00:22:13
Fri May 05 23:28:54 2017 -> Computing 1.49399e+09 scale for this machine...
Fri May 05 23:28:54 2017 -> procrels -speedtest> PIPE
Fri May 05 23:28:57 2017 -> Factorization summary written to s214-1072.txt

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 22, 2012 12:00:00 UTC 2012 年 1 月 22 日 (日) 21 時 0 分 0 秒 (日本時間)
403e62400300Dmitry DomanovJanuary 25, 2012 12:28:32 UTC 2012 年 1 月 25 日 (水) 21 時 28 分 32 秒 (日本時間)
1000Dmitry DomanovJanuary 27, 2012 06:30:51 UTC 2012 年 1 月 27 日 (金) 15 時 30 分 51 秒 (日本時間)
1100Dmitry DomanovJanuary 30, 2012 11:11:59 UTC 2012 年 1 月 30 日 (月) 20 時 11 分 59 秒 (日本時間)
4511e60 / 2366--
5043e6450 / 7462200Dmitry DomanovMarch 11, 2012 18:44:36 UTC 2012 年 3 月 12 日 (月) 3 時 44 分 36 秒 (日本時間)
250Dmitry DomanovApril 7, 2012 19:20:02 UTC 2012 年 4 月 8 日 (日) 4 時 20 分 2 秒 (日本時間)

5×10214+73

c165

name 名前Dmitry Domanov
date 日付January 26, 2012 12:17:35 UTC 2012 年 1 月 26 日 (木) 21 時 17 分 35 秒 (日本時間)
composite number 合成数
178118740411246092347087805960256511526529054123777753997482127922665737318717997837448964885720189467436421106753485510471255395394337238487088115839977806416194573<165>
prime factors 素因数
706491938374562066447693072827965709<36>
composite cofactor 合成数の残り
252117159073388560390957547630545395343760197558175790537889140695307411167864973503265543239648770791139375347350682529972631297<129>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3903755250
Step 1 took 19601ms
Step 2 took 8366ms
********** Factor found in step 2: 706491938374562066447693072827965709
Found probable prime factor of 36 digits: 706491938374562066447693072827965709

c129

name 名前Warut Roonguthai
date 日付February 6, 2012 12:05:53 UTC 2012 年 2 月 6 日 (月) 21 時 5 分 53 秒 (日本時間)
composite number 合成数
252117159073388560390957547630545395343760197558175790537889140695307411167864973503265543239648770791139375347350682529972631297<129>
prime factors 素因数
2409604323327793081737734071823333435732574817342801<52>
104630107371819956289561602199358005054295877711079441977905633512492627499697<78>
factorization results 素因数分解の結果
N = 252117159073388560390957547630545395343760197558175790537889140695307411167864973503265543239648770791139375347350682529972631297 (129 digits)
Divisors found:
r1=2409604323327793081737734071823333435732574817342801 (pp52)
r2=104630107371819956289561602199358005054295877711079441977905633512492627499697 (pp78)
Version: Msieve v. 1.48
Total time: 37.98 hours.
Factorization parameters were as follows:
n: 252117159073388560390957547630545395343760197558175790537889140695307411167864973503265543239648770791139375347350682529972631297
Y0: -10384239756927901987716506
Y1: 90285228944029
c0: -11954260935675436503412854208655325
c1: 48379404233675378799550561815
c2: -6289497058938523362653
c3: -38118311600771167
c4: -897467238
c5: 2088
skew: 2006886.59
type: gnfs
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19792882
Relations: 2406106 relations
Pruned matrix : 1342400 x 1342627
Polynomial selection time: 0.00 hours.
Total sieving time: 35.50 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 2.25 hours.
time per square root: 0.10 hours.
Prototype def-par.txt line would be: gnfs,128,5,65,2000,1e-05,0.28,250,20,50000,3600,6800000,6800000,28,28,55,55,2.5,2.5,100000
total time: 37.98 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 22, 2012 12:00:00 UTC 2012 年 1 月 22 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61300300Dmitry DomanovJanuary 25, 2012 12:28:39 UTC 2012 年 1 月 25 日 (水) 21 時 28 分 39 秒 (日本時間)
1000Dmitry DomanovJanuary 27, 2012 06:31:01 UTC 2012 年 1 月 27 日 (金) 15 時 31 分 1 秒 (日本時間)
4511e6300 / 4188Rich DickersonJanuary 29, 2012 16:26:17 UTC 2012 年 1 月 30 日 (月) 1 時 26 分 17 秒 (日本時間)

5×10215+73

c195

name 名前Warut Roonguthai
date 日付January 22, 2012 14:44:12 UTC 2012 年 1 月 22 日 (日) 23 時 44 分 12 秒 (日本時間)
composite number 合成数
766491136858666876668570846126418037190529044887302402099124663875301631843449778359769057356630502344768937284152434776619480709487024008428792836882420638955843962010130015497970960890897652707<195>
prime factors 素因数
93390229883489750384631629867<29>
composite cofactor 合成数の残り
8207401757281391255841630830290480620421344540074527343084000848112563723605780491570303962033498117329444891346592924214165368357201002494632844757808897186165876521<166>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3586864380
Step 1 took 9875ms
Step 2 took 5835ms
********** Factor found in step 2: 93390229883489750384631629867
Found probable prime factor of 29 digits: 93390229883489750384631629867
Composite cofactor 8207401757281391255841630830290480620421344540074527343084000848112563723605780491570303962033498117329444891346592924214165368357201002494632844757808897186165876521 has 166 digits
software ソフトウェア
GMP-ECM 6.3

c166

name 名前Dmitry Domanov
date 日付January 25, 2012 12:35:08 UTC 2012 年 1 月 25 日 (水) 21 時 35 分 8 秒 (日本時間)
composite number 合成数
8207401757281391255841630830290480620421344540074527343084000848112563723605780491570303962033498117329444891346592924214165368357201002494632844757808897186165876521<166>
prime factors 素因数
1092145219892596615451585342995868191<37>
composite cofactor 合成数の残り
7514936299486363955401649786140122220057030037956497816839827984949029748566559162961812010898508753949492079797168146098030728631<130>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4255224626
Step 1 took 19874ms
Step 2 took 2420ms
********** Factor found in step 2: 1092145219892596615451585342995868191
Found probable prime factor of 37 digits: 1092145219892596615451585342995868191

c130

name 名前Markus Tervooren
date 日付January 27, 2012 01:14:57 UTC 2012 年 1 月 27 日 (金) 10 時 14 分 57 秒 (日本時間)
composite number 合成数
7514936299486363955401649786140122220057030037956497816839827984949029748566559162961812010898508753949492079797168146098030728631<130>
prime factors 素因数
3128145513784042835442504433708611395719219<43>
2402361484263475068565920417357672456024299704274371793815086031566010679395788146135149<88>
factorization results 素因数分解の結果
~5 CPU-days of sieving on X6 1090T @ 3.2Ghz

Msieve v. 1.50 (SVN 656M)
Fri Jan 27 00:23:00 2012
random seeds: 111ac35a 886a81f3
factoring 7514936299486363955401649786140122220057030037956497816839827984949029748566559162961812010898508753949492079797168146098030728631 (130 digits)
searching for 15-digit factors
commencing number field sieve (130-digit input)
R0: -22652119124343652779596119
R1: 76088978292737
A0: 8120814520447873489516778343096
A1: 96568313725692131150744446
A2: -2359091533985290175717
A3: -2222417164652081
A4: 9133309221
A5: 1260
skew 486542.93, size 1.856e-12, alpha -6.193, combined = 8.612e-11 rroots = 5

commencing relation filtering
estimated available RAM is 16079.7 MB
commencing duplicate removal, pass 1
error -5 reading relation 1030125
error -15 reading relation 2230395
error -15 reading relation 2622304
error -15 reading relation 3004847
error -15 reading relation 3389151
error -11 reading relation 3761586
error -9 reading relation 4256606
error -15 reading relation 4758960
error -5 reading relation 5245913
error -15 reading relation 8253182
read 10M relations
error -15 reading relation 10763580
error -1 reading relation 13222405
error -11 reading relation 15610920
error -9 reading relation 17952324
read 20M relations
error -11 reading relation 20219862
error -15 reading relation 21408281
skipped 1 relations with b > 2^32
found 3261259 hash collisions in 22652522 relations
added 119291 free relations
commencing duplicate removal, pass 2
found 2877895 duplicates and 19893918 unique relations
memory use: 98.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 376.5 MB
reading all ideals from disk
memory use: 609.3 MB
keeping 19310544 ideals with weight <= 200, target excess is 124844
commencing in-memory singleton removal
begin with 19893917 relations and 19310544 unique ideals
reduce to 10222934 relations and 8348040 ideals in 13 passes
max relations containing the same ideal: 132
removing 1871168 relations and 1471168 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 8351766 relations and 8348040 unique ideals
reduce to 8174876 relations and 6692567 ideals in 9 passes
max relations containing the same ideal: 111
removing 1431852 relations and 1031852 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 6743024 relations and 6692567 unique ideals
reduce to 6599007 relations and 5510287 ideals in 8 passes
max relations containing the same ideal: 94
removing 1301816 relations and 901816 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 5297191 relations and 5510287 unique ideals
reduce to 5146348 relations and 4449719 ideals in 8 passes
max relations containing the same ideal: 77
removing 1213753 relations and 813753 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 3932595 relations and 4449719 unique ideals
reduce to 3746356 relations and 3436759 ideals in 8 passes
max relations containing the same ideal: 62
removing 609728 relations and 444951 ideals in 164777 cliques
commencing in-memory singleton removal
begin with 3136628 relations and 3436759 unique ideals
reduce to 3075496 relations and 2928289 ideals in 6 passes
max relations containing the same ideal: 54
relations with 0 large ideals: 487
relations with 1 large ideals: 2546
relations with 2 large ideals: 33548
relations with 3 large ideals: 178737
relations with 4 large ideals: 504296
relations with 5 large ideals: 822917
relations with 6 large ideals: 821437
relations with 7+ large ideals: 711528
commencing 2-way merge
reduce to 2056455 relation sets and 1909248 unique ideals
commencing full merge
memory use: 229.2 MB
found 1057057 cycles, need 1035448
weight of 1035448 cycles is about 72731292 (70.24/cycle)
distribution of cycle lengths:
1 relations: 90846
2 relations: 111219
3 relations: 122761
4 relations: 121222
5 relations: 113345
6 relations: 100984
7 relations: 87022
8 relations: 71652
9 relations: 57326
10+ relations: 159071
heaviest cycle: 19 relations
commencing cycle optimization
start with 5938220 relations
pruned 190411 relations
memory use: 186.7 MB
distribution of cycle lengths:
1 relations: 90846
2 relations: 113909
3 relations: 127933
4 relations: 125315
5 relations: 117990
6 relations: 103995
7 relations: 88662
8 relations: 71612
9 relations: 56409
10+ relations: 138777
heaviest cycle: 19 relations
RelProcTime: 810
elapsed time 00:13:31
markus@ubuntu:~/primo/in/1/f$ msieve -s nn -i n.ini -nf n.fb -nc2 -v -t 6

Msieve v. 1.50 (SVN 656M)
Fri Jan 27 00:37:53 2012
random seeds: b43fd792 d8ca764a
factoring 7514936299486363955401649786140122220057030037956497816839827984949029748566559162961812010898508753949492079797168146098030728631 (130 digits)
searching for 15-digit factors
commencing number field sieve (130-digit input)
R0: -22652119124343652779596119
R1: 76088978292737
A0: 8120814520447873489516778343096
A1: 96568313725692131150744446
A2: -2359091533985290175717
A3: -2222417164652081
A4: 9133309221
A5: 1260
skew 486542.93, size 1.856e-12, alpha -6.193, combined = 8.612e-11 rroots = 5

commencing linear algebra
read 1035448 cycles
cycles contain 2983414 unique relations
read 2983414 relations
using 20 quadratic characters above 268431422
building initial matrix
memory use: 389.5 MB
read 1035448 cycles
matrix is 1035271 x 1035448 (308.2 MB) with weight 96682075 (93.37/col)
sparse part has weight 69412495 (67.04/col)
filtering completed in 2 passes
matrix is 1034744 x 1034922 (308.2 MB) with weight 96658953 (93.40/col)
sparse part has weight 69403561 (67.06/col)
matrix starts at (0, 0)
matrix is 1034744 x 1034922 (308.2 MB) with weight 96658953 (93.40/col)
sparse part has weight 69403561 (67.06/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 1034696 x 1034922 (297.5 MB) with weight 77112417 (74.51/col)
sparse part has weight 67628684 (65.35/col)
using block size 262144 for processor cache size 6144 kB
commencing Lanczos iteration (6 threads)
memory use: 360.5 MB
linear algebra at 0.1%, ETA 1h19m1034922 dimensions (0.1%, ETA 1h19m)    
checkpointing every 810000 dimensions922 dimensions (0.2%, ETA 1h16m)    
linear algebra completed 1034556 of 1034922 dimensions (100.0%, ETA 0h 0m)      
lanczos halted after 16364 iterations (dim = 1034695)
recovered 30 nontrivial dependencies
BLanczosTime: 4178
elapsed time 01:09:39
markus@ubuntu:~/primo/in/1/f$ msieve -s nn -i n.ini -nf n.fb -nc3 -v -t 6


Msieve v. 1.50 (SVN 656M)
Fri Jan 27 01:50:26 2012
random seeds: 7da48fe0 fd9f122a
factoring 7514936299486363955401649786140122220057030037956497816839827984949029748566559162961812010898508753949492079797168146098030728631 (130 digits)
searching for 15-digit factors
commencing number field sieve (130-digit input)
R0: -22652119124343652779596119
R1: 76088978292737
A0: 8120814520447873489516778343096
A1: 96568313725692131150744446
A2: -2359091533985290175717
A3: -2222417164652081
A4: 9133309221
A5: 1260
skew 486542.93, size 1.856e-12, alpha -6.193, combined = 8.612e-11 rroots = 5

commencing square root phase
reading relations for dependency 1
read 517373 cycles
cycles contain 1491582 unique relations
read 1491582 relations
multiplying 1491582 relations
multiply complete, coefficients have about 66.68 million bits
initial square root is modulo 61151
GCD is 1, no factor found
reading relations for dependency 2
read 517014 cycles
cycles contain 1490988 unique relations
read 1490988 relations
multiplying 1490988 relations
multiply complete, coefficients have about 66.65 million bits
initial square root is modulo 60889
GCD is 1, no factor found
reading relations for dependency 3
read 517947 cycles
cycles contain 1492538 unique relations
read 1492538 relations
multiplying 1492538 relations
multiply complete, coefficients have about 66.72 million bits
initial square root is modulo 61613
GCD is N, no factor found
reading relations for dependency 4
read 516924 cycles
cycles contain 1491382 unique relations
read 1491382 relations
multiplying 1491382 relations
multiply complete, coefficients have about 66.67 million bits
initial square root is modulo 61027
GCD is 1, no factor found
reading relations for dependency 5
read 516884 cycles
cycles contain 1491484 unique relations
read 1491484 relations
multiplying 1491484 relations
multiply complete, coefficients have about 66.67 million bits
initial square root is modulo 61151
sqrtTime: 1289
prp43 factor: 3128145513784042835442504433708611395719219
prp88 factor: 2402361484263475068565920417357672456024299704274371793815086031566010679395788146135149
elapsed time 00:21:30

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 22, 2012 12:00:00 UTC 2012 年 1 月 22 日 (日) 21 時 0 分 0 秒 (日本時間)
403e63300300Dmitry DomanovJanuary 25, 2012 12:28:49 UTC 2012 年 1 月 25 日 (水) 21 時 28 分 49 秒 (日本時間)
3000Markus TervoorenJanuary 26, 2012 12:13:33 UTC 2012 年 1 月 26 日 (木) 21 時 13 分 33 秒 (日本時間)

5×10216+73

c217

name 名前Warut Roonguthai
date 日付January 22, 2012 15:25:11 UTC 2012 年 1 月 23 日 (月) 0 時 25 分 11 秒 (日本時間)
composite number 合成数
1666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669<217>
prime factors 素因数
1181701517986809688655026584923<31>
composite cofactor 合成数の残り
1410395638237024101254142170111890758965628639982019707504908958755811408065930133162754044958428112762915947691164037107719122676001989847546683626256768032070229805357672855040431345303<187>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2567891251
Step 1 took 11497ms
Step 2 took 6365ms
********** Factor found in step 2: 1181701517986809688655026584923
Found probable prime factor of 31 digits: 1181701517986809688655026584923
Composite cofactor 1410395638237024101254142170111890758965628639982019707504908958755811408065930133162754044958428112762915947691164037107719122676001989847546683626256768032070229805357672855040431345303 has 187 digits
software ソフトウェア
GMP-ECM 6.3

c187

name 名前Dmitry Domanov
date 日付January 26, 2012 08:48:22 UTC 2012 年 1 月 26 日 (木) 17 時 48 分 22 秒 (日本時間)
composite number 合成数
1410395638237024101254142170111890758965628639982019707504908958755811408065930133162754044958428112762915947691164037107719122676001989847546683626256768032070229805357672855040431345303<187>
prime factors 素因数
226640564860297692316532833444436624291<39>
composite cofactor 合成数の残り
6223050313638242963697733637233128614148760863794804682065952231138411376057676542967857116451853472226636503292840523390468235880493402838835140733<148>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1009372070
Step 1 took 23622ms
Step 2 took 9286ms
********** Factor found in step 2: 226640564860297692316532833444436624291
Found probable prime factor of 39 digits: 226640564860297692316532833444436624291

c148

name 名前Dmitry Domanov
date 日付August 8, 2021 23:15:41 UTC 2021 年 8 月 9 日 (月) 8 時 15 分 41 秒 (日本時間)
composite number 合成数
6223050313638242963697733637233128614148760863794804682065952231138411376057676542967857116451853472226636503292840523390468235880493402838835140733<148>
prime factors 素因数
2068408737822378589879725002938943379526041381653659287749<58>
3008617300751626302194384269627721519578489354239145296280494801039307357000736835285501017<91>
factorization results 素因数分解の結果
2068408737822378589879725002938943379526041381653659287749
software ソフトウェア
factordb.com

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 22, 2012 12:00:00 UTC 2012 年 1 月 22 日 (日) 21 時 0 分 0 秒 (日本時間)
403e62400300Dmitry DomanovJanuary 25, 2012 12:28:57 UTC 2012 年 1 月 25 日 (水) 21 時 28 分 57 秒 (日本時間)
1000Dmitry DomanovJanuary 27, 2012 06:31:11 UTC 2012 年 1 月 27 日 (金) 15 時 31 分 11 秒 (日本時間)
1100Dmitry DomanovJanuary 30, 2012 11:12:18 UTC 2012 年 1 月 30 日 (月) 20 時 12 分 18 秒 (日本時間)
4511e6850Serge BatalovNovember 8, 2013 17:10:44 UTC 2013 年 11 月 9 日 (土) 2 時 10 分 44 秒 (日本時間)
5043e61000 / 7271200Dmitry DomanovMarch 6, 2012 06:39:26 UTC 2012 年 3 月 6 日 (火) 15 時 39 分 26 秒 (日本時間)
800Dmitry DomanovApril 19, 2012 20:59:48 UTC 2012 年 4 月 20 日 (金) 5 時 59 分 48 秒 (日本時間)

5×10217+73

c131

name 名前Erik Branger
date 日付February 11, 2012 08:50:47 UTC 2012 年 2 月 11 日 (土) 17 時 50 分 47 秒 (日本時間)
composite number 合成数
15431222143956391611499862898606497423134855000924608538938311241298632438913809476541318643730298580667089411552127041135025998897<131>
prime factors 素因数
6632904473760222653372825158644324520726447785846364121<55>
2326465307167067349788664783397582429054823735472629911104518464867739564057<76>
factorization results 素因数分解の結果
Number: 16669_217
N = 15431222143956391611499862898606497423134855000924608538938311241298632438913809476541318643730298580667089411552127041135025998897 (131 digits)
Divisors found:
r1=6632904473760222653372825158644324520726447785846364121 (pp55)
r2=2326465307167067349788664783397582429054823735472629911104518464867739564057 (pp76)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 116.29 hours.
Factorization parameters were as follows:
# Murphy_E = 8.577e-11, selected by Erik Branger
n: 15431222143956391611499862898606497423134855000924608538938311241298632438913809476541318643730298580667089411552127041135025998897
Y0: -13699489762800183083879252
Y1: 37602644795381
c0: 17847549480044854819416204777033
c1: 363774491355492907581027705
c2: 468314141894862835103
c3: -7709086513644593
c4: -2601062284
c5: 31980
skew: 305940.11
type: gnfs
# selected mechanically
rlim: 10000000
alim: 10000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [5000000, 10100000)
Relations: 19022417
Relations in full relation-set: 2700246 relations
Pruned matrix : 1554128 x 1554355
Polynomial selection time: 0.00 hours.
Total sieving time: 113.68 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 2.26 hours.
time per square root: 0.25 hours.
Prototype def-par.txt line would be: gnfs,130,5,65,2000,1e-05,0.28,250,20,50000,3600,10000000,10000000,28,28,54,54,2.6,2.6,100000
total time: 116.29 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJanuary 22, 2012 12:00:00 UTC 2012 年 1 月 22 日 (日) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosJanuary 23, 2012 19:00:26 UTC 2012 年 1 月 24 日 (火) 4 時 0 分 26 秒 (日本時間)
403e62510110Ignacio SantosJanuary 23, 2012 19:00:26 UTC 2012 年 1 月 24 日 (火) 4 時 0 分 26 秒 (日本時間)
300Dmitry DomanovJanuary 25, 2012 12:29:06 UTC 2012 年 1 月 25 日 (水) 21 時 29 分 6 秒 (日本時間)
1000Dmitry DomanovJanuary 27, 2012 06:31:22 UTC 2012 年 1 月 27 日 (金) 15 時 31 分 22 秒 (日本時間)
1100Dmitry DomanovJanuary 30, 2012 11:12:25 UTC 2012 年 1 月 30 日 (月) 20 時 12 分 25 秒 (日本時間)
4511e632 / 3906Ignacio SantosJanuary 23, 2012 19:00:26 UTC 2012 年 1 月 24 日 (火) 4 時 0 分 26 秒 (日本時間)

5×10219+73

c187

name 名前Erik Branger
date 日付November 5, 2020 07:51:32 UTC 2020 年 11 月 5 日 (木) 16 時 51 分 32 秒 (日本時間)
composite number 合成数
1033988001059204921250005885718795766804017541075331908388147795083127442109751496925270277473562777455971623293488075626603396583843767275042085833720851902617744611561408520597472816291<187>
prime factors 素因数
4449310622113157923548832821127008521216883174320808409622220982894721987511057551<82>
232392855630322819987481393926413485387080545750746243712447898830294864376976190463464142842033040621741<105>
factorization results 素因数分解の結果
Number: 16669_219
N = 1033988001059204921250005885718795766804017541075331908388147795083127442109751496925270277473562777455971623293488075626603396583843767275042085833720851902617744611561408520597472816291 (187 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=4449310622113157923548832821127008521216883174320808409622220982894721987511057551 (pp82)
r2=232392855630322819987481393926413485387080545750746243712447898830294864376976190463464142842033040621741 (pp105)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 48.58 hours.
Factorization parameters were as follows:
n: 1033988001059204921250005885718795766804017541075331908388147795083127442109751496925270277473562777455971623293488075626603396583843767275042085833720851902617744611561408520597472816291
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1
c0: 14
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: 6565650 relations
Pruned matrix : 5808858 x 5809083
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 24.67 hours.
Total relation processing time: 0.35 hours.
Matrix solve time: 23.41 hours.
time per square root: 0.15 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: 48.58 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 KamadaJanuary 22, 2012 12:00:00 UTC 2012 年 1 月 22 日 (日) 21 時 0 分 0 秒 (日本時間)
403e62400300Dmitry DomanovJanuary 25, 2012 12:29:15 UTC 2012 年 1 月 25 日 (水) 21 時 29 分 15 秒 (日本時間)
1000Dmitry DomanovJanuary 27, 2012 06:31:30 UTC 2012 年 1 月 27 日 (金) 15 時 31 分 30 秒 (日本時間)
1100Dmitry DomanovJanuary 30, 2012 11:12:34 UTC 2012 年 1 月 30 日 (月) 20 時 12 分 34 秒 (日本時間)
4511e60 / 2366--
5043e6450 / 7462200Dmitry DomanovMarch 11, 2012 18:44:58 UTC 2012 年 3 月 12 日 (月) 3 時 44 分 58 秒 (日本時間)
250Dmitry DomanovApril 7, 2012 19:20:17 UTC 2012 年 4 月 8 日 (日) 4 時 20 分 17 秒 (日本時間)

5×10220+73

c202

name 名前Dmitry Domanov
date 日付January 29, 2012 06:53:51 UTC 2012 年 1 月 29 日 (日) 15 時 53 分 51 秒 (日本時間)
composite number 合成数
1406742647366445999874369485354770857899639496860474154434336759374392629068295460624062701628794181059762410779145775011634299743347669925975743626763865117087737373865197704323950095904763726376354483<202>
prime factors 素因数
19447267124913873572209956457749837739<38>
composite cofactor 合成数の残り
72336263924933157613831139917469241686692655664449243097751055468678490271962617753815955399355477848110124675097520457863632612725637987543857000087557901545814297<164>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3152831449
Step 1 took 27338ms
Step 2 took 9949ms
********** Factor found in step 2: 19447267124913873572209956457749837739
Found probable prime factor of 38 digits: 19447267124913873572209956457749837739

c164

name 名前Erik Branger
date 日付November 25, 2018 21:05:13 UTC 2018 年 11 月 26 日 (月) 6 時 5 分 13 秒 (日本時間)
composite number 合成数
72336263924933157613831139917469241686692655664449243097751055468678490271962617753815955399355477848110124675097520457863632612725637987543857000087557901545814297<164>
prime factors 素因数
57062264422599336975851914761891631882764576309557502353881<59>
1267672509264889940153341228073825508334894543824820441810252959684143420458510851482083273234588785084737<106>
factorization results 素因数分解の結果
Number: 16669_220
N = 72336263924933157613831139917469241686692655664449243097751055468678490271962617753815955399355477848110124675097520457863632612725637987543857000087557901545814297 (164 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=57062264422599336975851914761891631882764576309557502353881 (pp59)
r2=1267672509264889940153341228073825508334894543824820441810252959684143420458510851482083273234588785084737 (pp106)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 30.17 hours.
Factorization parameters were as follows:
n: 72336263924933157613831139917469241686692655664449243097751055468678490271962617753815955399355477848110124675097520457863632612725637987543857000087557901545814297
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 5
c0: 7
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 31513281
Relations: 6922570 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 14.23 hours.
Total relation processing time: 0.24 hours.
Pruned matrix : 6316482 x 6316707
Matrix solve time: 15.50 hours.
time per square root: 0.20 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 30.17 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 12, speed: 3.19GHz
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 KamadaJanuary 22, 2012 12:00:00 UTC 2012 年 1 月 22 日 (日) 21 時 0 分 0 秒 (日本時間)
403e62400300Dmitry DomanovJanuary 25, 2012 12:29:25 UTC 2012 年 1 月 25 日 (水) 21 時 29 分 25 秒 (日本時間)
1000Dmitry DomanovJanuary 27, 2012 06:31:40 UTC 2012 年 1 月 27 日 (金) 15 時 31 分 40 秒 (日本時間)
1100Dmitry DomanovJanuary 30, 2012 11:12:43 UTC 2012 年 1 月 30 日 (月) 20 時 12 分 43 秒 (日本時間)
4511e60 / 3243--
5043e6200 / 7462Dmitry DomanovMarch 6, 2012 06:39:46 UTC 2012 年 3 月 6 日 (火) 15 時 39 分 46 秒 (日本時間)

5×10221+73

c184

name 名前Erik Branger
date 日付April 29, 2021 16:00:39 UTC 2021 年 4 月 30 日 (金) 1 時 0 分 39 秒 (日本時間)
composite number 合成数
6522694889631633837443576925994975176458005425494083853735828759979110623938807643085700145301547186494130469664870608317342821152125742450217612396834246497756935907065330118245449627<184>
prime factors 素因数
51552549104442113827535332527799683494445860627678796111696827605452448634307892814816885833<92>
126525167095366670106290246965681775248602802073597524537071204032157952821677706726743143619<93>
factorization results 素因数分解の結果
Number: 16669_221
N = 6522694889631633837443576925994975176458005425494083853735828759979110623938807643085700145301547186494130469664870608317342821152125742450217612396834246497756935907065330118245449627 (184 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=51552549104442113827535332527799683494445860627678796111696827605452448634307892814816885833 (pp92)
r2=126525167095366670106290246965681775248602802073597524537071204032157952821677706726743143619 (pp93)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 126.78 hours.
Factorization parameters were as follows:
n: 6522694889631633837443576925994975176458005425494083853735828759979110623938807643085700145301547186494130469664870608317342821152125742450217612396834246497756935907065330118245449627
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 50
c0: 7
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: 8470294 relations
Pruned matrix : submatrix x not
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 39.77 hours.
Total relation processing time: 0.41 hours.
Matrix solve time: 86.35 hours.
time per square root: 0.24 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 126.78 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 22, 2012 12:00:00 UTC 2012 年 1 月 22 日 (日) 21 時 0 分 0 秒 (日本時間)
403e62400300Dmitry DomanovJanuary 25, 2012 12:29:31 UTC 2012 年 1 月 25 日 (水) 21 時 29 分 31 秒 (日本時間)
1000Dmitry DomanovJanuary 27, 2012 06:31:49 UTC 2012 年 1 月 27 日 (金) 15 時 31 分 49 秒 (日本時間)
1100Dmitry DomanovJanuary 30, 2012 11:12:52 UTC 2012 年 1 月 30 日 (月) 20 時 12 分 52 秒 (日本時間)
4511e60 / 3243--
5043e6200 / 7462Dmitry DomanovMarch 11, 2012 18:45:14 UTC 2012 年 3 月 12 日 (月) 3 時 45 分 14 秒 (日本時間)

5×10222+73

c200

name 名前Erik Branger
date 日付July 6, 2020 11:40:03 UTC 2020 年 7 月 6 日 (月) 20 時 40 分 3 秒 (日本時間)
composite number 合成数
45977721770297082225217527668332953845759820157425102551452575028775800638876718780204669656376531920824535521247950316888106092584813728930664132329894916293739328761603730808181156395083710256482143<200>
prime factors 素因数
33641947105727100840988263456376803465918280933962828007<56>
628812960601263606174194603593253868272361700432739877020496287881<66>
2173425908217830855902065744596123289935013553987481138687121919688461245860929<79>
factorization results 素因数分解の結果
Number: 16669_222
N = 45977721770297082225217527668332953845759820157425102551452575028775800638876718780204669656376531920824535521247950316888106092584813728930664132329894916293739328761603730808181156395083710256482143 (200 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=33641947105727100840988263456376803465918280933962828007 (pp56)
r2=628812960601263606174194603593253868272361700432739877020496287881 (pp66)
r3=2173425908217830855902065744596123289935013553987481138687121919688461245860929 (pp79)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 55.13 hours.
Factorization parameters were as follows:
n: 45977721770297082225217527668332953845759820157425102551452575028775800638876718780204669656376531920824535521247950316888106092584813728930664132329894916293739328761603730808181156395083710256482143
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 500
c0: 7
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
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 35210441
Relations: 7926054 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 26.56 hours.
Total relation processing time: 0.40 hours.
Pruned matrix : 6985701 x 6985926
Matrix solve time: 27.75 hours.
time per square root: 0.44 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 55.13 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 12, speed: 3.19GHz
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 KamadaJanuary 22, 2012 12:00:00 UTC 2012 年 1 月 22 日 (日) 21 時 0 分 0 秒 (日本時間)
403e62400300Dmitry DomanovJanuary 25, 2012 12:29:39 UTC 2012 年 1 月 25 日 (水) 21 時 29 分 39 秒 (日本時間)
1000Dmitry DomanovJanuary 27, 2012 06:31:57 UTC 2012 年 1 月 27 日 (金) 15 時 31 分 57 秒 (日本時間)
1100Dmitry DomanovJanuary 30, 2012 11:12:58 UTC 2012 年 1 月 30 日 (月) 20 時 12 分 58 秒 (日本時間)
4511e60 / 3243--
5043e6200 / 7462Dmitry DomanovMarch 17, 2012 20:33:29 UTC 2012 年 3 月 18 日 (日) 5 時 33 分 29 秒 (日本時間)

5×10223+73

c184

name 名前Dmitry Domanov
date 日付January 28, 2012 09:14:00 UTC 2012 年 1 月 28 日 (土) 18 時 14 分 0 秒 (日本時間)
composite number 合成数
1597076348201056193231305889595108709168532075867246139409841656321616205881395661477202169814011289196950676705762978152566347201070953077364606108365899751973723729296652488881532039<184>
prime factors 素因数
9753499268162894165223638715340427220226487<43>
163743934796221205976948201465696478763550354961927114815783025802010565561845104419608426664754848404969708300599805124074073905380397464497<141>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=88935152
Step 1 took 23401ms
Step 2 took 9309ms
********** Factor found in step 2: 9753499268162894165223638715340427220226487
Found probable prime factor of 43 digits: 9753499268162894165223638715340427220226487

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 22, 2012 12:00:00 UTC 2012 年 1 月 22 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61300 / 2318300Dmitry DomanovJanuary 25, 2012 12:29:46 UTC 2012 年 1 月 25 日 (水) 21 時 29 分 46 秒 (日本時間)
1000Dmitry DomanovJanuary 27, 2012 06:32:05 UTC 2012 年 1 月 27 日 (金) 15 時 32 分 5 秒 (日本時間)

5×10225+73

c224

name 名前Dmitry Domanov
date 日付February 18, 2012 07:22:04 UTC 2012 年 2 月 18 日 (土) 16 時 22 分 4 秒 (日本時間)
composite number 合成数
21097046413502109704641350210970464135021097046413502109704641350210970464135021097046413502109704641350210970464135021097046413502109704641350210970464135021097046413502109704641350210970464135021097046413502109704641350211<224>
prime factors 素因数
189911440834661868359356202932558155177270209<45>
composite cofactor 合成数の残り
111088865003500948057152058085975822032189905559447613574500260230590656269849973264529836501708398873048633563563282527021689478772892384055426492981359898935839014521772417349379<180>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1578095865
Step 1 took 455160ms
Step 2 took 114509ms
********** Factor found in step 2: 189911440834661868359356202932558155177270209
Found probable prime factor of 45 digits: 189911440834661868359356202932558155177270209

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 22, 2012 12:00:00 UTC 2012 年 1 月 22 日 (日) 21 時 0 分 0 秒 (日本時間)
403e62400300Dmitry DomanovJanuary 25, 2012 12:29:56 UTC 2012 年 1 月 25 日 (水) 21 時 29 分 56 秒 (日本時間)
1000Dmitry DomanovJanuary 27, 2012 06:32:13 UTC 2012 年 1 月 27 日 (金) 15 時 32 分 13 秒 (日本時間)
1100Dmitry DomanovJanuary 30, 2012 11:13:06 UTC 2012 年 1 月 30 日 (月) 20 時 13 分 6 秒 (日本時間)
4511e62400Thomas KozlowskiOctober 24, 2024 08:14:34 UTC 2024 年 10 月 24 日 (木) 17 時 14 分 34 秒 (日本時間)
5043e6480 / 6923Dmitry DomanovFebruary 17, 2012 21:07:54 UTC 2012 年 2 月 18 日 (土) 6 時 7 分 54 秒 (日本時間)

5×10226+73

c172

name 名前Dmitry Domanov
date 日付January 28, 2012 14:16:47 UTC 2012 年 1 月 28 日 (土) 23 時 16 分 47 秒 (日本時間)
composite number 合成数
1595905410730151794283683075996047834552458503834645350115012563777954155694727574755559321984939462620899550708854080285051328877020349999945647677609556886157315268976901<172>
prime factors 素因数
3988096658595144892395477510478404773<37>
composite cofactor 合成数の残り
400167184336080938192191873524047105269946526315326516824036216847296448114445246667798196886171034912231174288257772580767465891751137<135>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1035591795
Step 1 took 19528ms
Step 2 took 8320ms
********** Factor found in step 2: 3988096658595144892395477510478404773
Found probable prime factor of 37 digits: 3988096658595144892395477510478404773

c135

name 名前Erik Branger
date 日付April 26, 2012 13:37:10 UTC 2012 年 4 月 26 日 (木) 22 時 37 分 10 秒 (日本時間)
composite number 合成数
400167184336080938192191873524047105269946526315326516824036216847296448114445246667798196886171034912231174288257772580767465891751137<135>
prime factors 素因数
8476690058340228536503765389010495474266985876950498850165102090243<67>
47207952819078930807501496040976653507856785897636164413065776067659<68>
factorization results 素因数分解の結果
Number: 16669_226
N = 400167184336080938192191873524047105269946526315326516824036216847296448114445246667798196886171034912231174288257772580767465891751137 (135 digits)
Divisors found:
r1=8476690058340228536503765389010495474266985876950498850165102090243 (pp67)
r2=47207952819078930807501496040976653507856785897636164413065776067659 (pp68)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 209.47 hours.
Factorization parameters were as follows:
# Murphy_E = 4.766e-11, selected by Erik Branger
n: 400167184336080938192191873524047105269946526315326516824036216847296448114445246667798196886171034912231174288257772580767465891751137
Y0: -119966752374488427352330556
Y1: 398182594287353
c0: 65908108734380653371510903499905
c1: 1004086391063165744199354434
c2: -8516441054259273810671
c3: -10609186738550188
c4: 35734461456
c5: 16104
skew: 476858.71
type: gnfs
# selected mechanically
rlim: 13000000
alim: 13000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 13000000/13000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [6500000, 15500000)
Relations: 20886398
Relations in full relation-set: 3248942 relations
Pruned matrix : 1959151 x 1959380
Polynomial selection time: 0.00 hours.
Total sieving time: 205.35 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 3.85 hours.
time per square root: 0.16 hours.
Prototype def-par.txt line would be: gnfs,134,5,65,2000,1e-05,0.28,250,20,50000,3600,13000000,13000000,28,28,54,54,2.6,2.6,100000
total time: 209.47 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 22, 2012 12:00:00 UTC 2012 年 1 月 22 日 (日) 21 時 0 分 0 秒 (日本時間)
403e62400300Dmitry DomanovJanuary 25, 2012 12:30:04 UTC 2012 年 1 月 25 日 (水) 21 時 30 分 4 秒 (日本時間)
1000Dmitry DomanovJanuary 27, 2012 06:32:21 UTC 2012 年 1 月 27 日 (金) 15 時 32 分 21 秒 (日本時間)
1100Dmitry DomanovJanuary 30, 2012 11:13:14 UTC 2012 年 1 月 30 日 (月) 20 時 13 分 14 秒 (日本時間)
4511e60 / 3243--
5043e6200 / 7462Dmitry DomanovMarch 6, 2012 06:40:09 UTC 2012 年 3 月 6 日 (火) 15 時 40 分 9 秒 (日本時間)

5×10227+73

c154

name 名前yoyo@Home
date 日付March 13, 2021 12:43:38 UTC 2021 年 3 月 13 日 (土) 21 時 43 分 38 秒 (日本時間)
composite number 合成数
2128149912979388715154149572765574476586067989478476801866814778897621323097635226336655008764614650863421229839642903393002610965691200236779581687294343<154>
prime factors 素因数
3135230342419913626929534945908932634520705079<46>
678785824500787922548010646833151254634870640961383331071169828738420307963845176009304832889578310052852017<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 2128149912979388715154149572765574476586067989478476801866814778897621323097635226336655008764614650863421229839642903393002610965691200236779581687294343 (154 digits)
[Sat Mar 13 03:24:45 2021]
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=0:12035724834846083713
dF=65536, k=5, d=690690, d2=17, i0=46
Expected number of curves to find a factor of n digits:
35        40      45      50      55      60      65      70      75      80
55      246     1286    7557    49831   361851  2844041 2.4e+07 2.2e+08 2.2e+09
Writing checkpoint to checkpnt at p = 43000000
Step 1 took 129812ms
Using 19 small primes for NTT
Estimated memory usage: 213.50MB
Initializing tables of differences for F took 31ms
Computing roots of F took 2328ms
Building F from its roots took 2500ms
Computing 1/F took 984ms
Initializing table of differences for G took 47ms
Computing roots of G took 1859ms
Building G from its roots took 2422ms
Computing roots of G took 1921ms
Building G from its roots took 1844ms
Computing G * H took 562ms
Reducing  G * H mod F took 594ms
Computing roots of G took 1844ms
Building G from its roots took 2359ms
Computing G * H took 562ms
Reducing  G * H mod F took 516ms
Computing roots of G took 1922ms
Building G from its roots took 2390ms
Computing G * H took 578ms
Reducing  G * H mod F took 563ms
Computing roots of G took 1906ms
Building G from its roots took 2375ms
Computing G * H took 546ms
Reducing  G * H mod F took 563ms
Computing polyeval(F,G) took 4687ms
Computing product of all F(g_i) took 31ms
Step 2 took 36234ms
********** Factor found in step 2: 3135230342419913626929534945908932634520705079
Found prime factor of 46 digits: 3135230342419913626929534945908932634520705079
Prime cofactor 678785824500787922548010646833151254634870640961383331071169828738420307963845176009304832889578310052852017 has 108 digits
Peak memory usage: 299MB
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
351e6418118Makoto KamadaJanuary 22, 2012 12:00:00 UTC 2012 年 1 月 22 日 (日) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosJanuary 23, 2012 21:37:43 UTC 2012 年 1 月 24 日 (火) 6 時 37 分 43 秒 (日本時間)
403e62510110Ignacio SantosJanuary 23, 2012 21:37:43 UTC 2012 年 1 月 24 日 (火) 6 時 37 分 43 秒 (日本時間)
300Dmitry DomanovJanuary 25, 2012 12:30:15 UTC 2012 年 1 月 25 日 (水) 21 時 30 分 15 秒 (日本時間)
1000Dmitry DomanovJanuary 27, 2012 06:32:33 UTC 2012 年 1 月 27 日 (金) 15 時 32 分 33 秒 (日本時間)
1100Dmitry DomanovJanuary 30, 2012 11:13:25 UTC 2012 年 1 月 30 日 (月) 20 時 13 分 25 秒 (日本時間)
4511e632Ignacio SantosJanuary 23, 2012 21:37:43 UTC 2012 年 1 月 24 日 (火) 6 時 37 分 43 秒 (日本時間)
5043e61120 / 7449200Dmitry DomanovMarch 6, 2012 06:40:28 UTC 2012 年 3 月 6 日 (火) 15 時 40 分 28 秒 (日本時間)
920Dmitry DomanovApril 18, 2012 19:49:04 UTC 2012 年 4 月 19 日 (木) 4 時 49 分 4 秒 (日本時間)

5×10229+73

c230

name 名前Dmitry Domanov
date 日付January 27, 2012 05:08:59 UTC 2012 年 1 月 27 日 (金) 14 時 8 分 59 秒 (日本時間)
composite number 合成数
16666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669<230>
prime factors 素因数
4208863252868988178699661498768919247<37>
composite cofactor 合成数の残り
3959897403486741420548582042686982822834329984974376420787520352569335724849401292714850892074482547886727478950932446134529024138240723465588762082744203399115051693329313334967257901387801027<193>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3615471018
Step 1 took 30696ms
Step 2 took 450ms
********** Factor found in step 2: 4208863252868988178699661498768919247
Found probable prime factor of 37 digits: 4208863252868988178699661498768919247

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 22, 2012 12:00:00 UTC 2012 年 1 月 22 日 (日) 21 時 0 分 0 秒 (日本時間)
403e62400300Dmitry DomanovJanuary 25, 2012 12:30:24 UTC 2012 年 1 月 25 日 (水) 21 時 30 分 24 秒 (日本時間)
1000Dmitry DomanovJanuary 27, 2012 13:24:57 UTC 2012 年 1 月 27 日 (金) 22 時 24 分 57 秒 (日本時間)
1100Dmitry DomanovJanuary 30, 2012 11:13:31 UTC 2012 年 1 月 30 日 (月) 20 時 13 分 31 秒 (日本時間)
4511e63404Thomas KozlowskiDecember 20, 2024 17:24:28 UTC 2024 年 12 月 21 日 (土) 2 時 24 分 28 秒 (日本時間)
5043e6200 / 6698Dmitry DomanovMarch 17, 2012 20:34:01 UTC 2012 年 3 月 18 日 (日) 5 時 34 分 1 秒 (日本時間)

5×10230+73

c219

composite cofactor 合成数の残り
274699779256006015077653157178164250694084196369988152946489729405578239033669581330003875793504657338949360029849762019823241766174793153051379387231062396033567030640808036878536956618006178724507602594829627917926787<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 22, 2012 12:00:00 UTC 2012 年 1 月 22 日 (日) 21 時 0 分 0 秒 (日本時間)
403e62400300Dmitry DomanovJanuary 25, 2012 12:30:32 UTC 2012 年 1 月 25 日 (水) 21 時 30 分 32 秒 (日本時間)
1000Dmitry DomanovJanuary 27, 2012 06:32:42 UTC 2012 年 1 月 27 日 (金) 15 時 32 分 42 秒 (日本時間)
1100Dmitry DomanovJanuary 30, 2012 11:13:39 UTC 2012 年 1 月 30 日 (月) 20 時 13 分 39 秒 (日本時間)
4511e63402Thomas KozlowskiDecember 20, 2024 18:41:12 UTC 2024 年 12 月 21 日 (土) 3 時 41 分 12 秒 (日本時間)
5043e6200 / 6698Dmitry DomanovMarch 22, 2012 19:52:19 UTC 2012 年 3 月 23 日 (金) 4 時 52 分 19 秒 (日本時間)

5×10231+73

c185

name 名前Thomas Kozlowski
date 日付December 20, 2024 20:49:18 UTC 2024 年 12 月 21 日 (土) 5 時 49 分 18 秒 (日本時間)
composite number 合成数
11738178759962798763610103967135475606314091108642312654572985107198889600598483385080815964428340735636839680845622640280616285619771937551010754246090361675645161995490508732280160151<185>
prime factors 素因数
103609058806557898965798163577392661501615341<45>
113292977420810571673197900158389360717391183088118617981887812617918287052211464857349736353054640197347059050459605045039939107007122555411<141>
factorization results 素因数分解の結果
GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 11738178759962798763610103967135475606314091108642312654572985107198889600598483385080815964428340735636839680845622640280616285619771937551010754246090361675645161995490508732280160151 (185 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3388126526
Step 1 took 28020ms
Step 2 took 12206ms
Run 2 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2985124349
Step 1 took 27979ms
Step 2 took 12161ms
Run 3 out of 0:
...
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3221145834
Step 1 took 28129ms
Step 2 took 12104ms
Run 18 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:711513123
Step 1 took 28149ms
Step 2 took 13075ms
** Factor found in step 2: 103609058806557898965798163577392661501615341
Found prime factor of 45 digits: 103609058806557898965798163577392661501615341
Prime cofactor 113292977420810571673197900158389360717391183088118617981887812617918287052211464857349736353054640197347059050459605045039939107007122555411 has 141 digits
execution environment 実行環境
2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 22, 2012 12:00:00 UTC 2012 年 1 月 22 日 (日) 21 時 0 分 0 秒 (日本時間)
403e62400300Dmitry DomanovJanuary 25, 2012 12:30:40 UTC 2012 年 1 月 25 日 (水) 21 時 30 分 40 秒 (日本時間)
1000Dmitry DomanovJanuary 27, 2012 06:32:51 UTC 2012 年 1 月 27 日 (金) 15 時 32 分 51 秒 (日本時間)
1100Dmitry DomanovJanuary 30, 2012 11:13:47 UTC 2012 年 1 月 30 日 (月) 20 時 13 分 47 秒 (日本時間)
4511e60 / 3243--
5043e6200 / 7462Dmitry DomanovMarch 11, 2012 18:46:04 UTC 2012 年 3 月 12 日 (月) 3 時 46 分 4 秒 (日本時間)

5×10232+73

c225

name 名前Warut Roonguthai
date 日付January 22, 2012 17:05:39 UTC 2012 年 1 月 23 日 (月) 2 時 5 分 39 秒 (日本時間)
composite number 合成数
215409712007942449038941168897796453857251456256894107054172195103072922507635638832031136388205799560978635789700685232510938257454594508428381037774285871460949293109550387327987751769309674471076853958905884269986244065037<225>
prime factors 素因数
2360456177327114674514332177<28>
91257662004919623057786150985223463218175541850972031470311202493118463988036806325945313021174545701586369568216308165198116294859318104473398376475347388098859984746926871116277982333918455333181<197>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=573547126
Step 1 took 11373ms
Step 2 took 6692ms
********** Factor found in step 2: 2360456177327114674514332177
Found probable prime factor of 28 digits: 2360456177327114674514332177
Probable prime cofactor 91257662004919623057786150985223463218175541850972031470311202493118463988036806325945313021174545701586369568216308165198116294859318104473398376475347388098859984746926871116277982333918455333181 has 197 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 22, 2012 12:00:00 UTC 2012 年 1 月 22 日 (日) 21 時 0 分 0 秒 (日本時間)

5×10234+73

c217

name 名前Thomas Kozlowski
date 日付December 20, 2024 20:49:54 UTC 2024 年 12 月 21 日 (土) 5 時 49 分 54 秒 (日本時間)
composite number 合成数
4318255056856214484080598104274631946219775513317897574690934349951892162273322988834350156353016564695751253268492857660441532500217610965236169646886026111987559095071339676617450524072957146471017953430253865350903<217>
prime factors 素因数
90101145366946813245399129501803455694545273<44>
47926749868380100504484910308110422938282559262094342690936816497786361472823360422668800740233606141313851865745075730924765623968503788577608748576098920801534112377827311<173>
factorization results 素因数分解の結果
GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 4318255056856214484080598104274631946219775513317897574690934349951892162273322988834350156353016564695751253268492857660441532500217610965236169646886026111987559095071339676617450524072957146471017953430253865350903 (217 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2855807292
Step 1 took 40164ms
Step 2 took 14657ms
Run 2 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4051645063
Step 1 took 37748ms
Step 2 took 14494ms
Run 3 out of 0:
...
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2480471832
Step 1 took 37383ms
Step 2 took 14397ms
Run 84 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1592117848
Step 1 took 37720ms
Step 2 took 14385ms
** Factor found in step 2: 90101145366946813245399129501803455694545273
Found prime factor of 44 digits: 90101145366946813245399129501803455694545273
Prime cofactor 47926749868380100504484910308110422938282559262094342690936816497786361472823360422668800740233606141313851865745075730924765623968503788577608748576098920801534112377827311 has 173 digits
execution environment 実行環境
2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 22, 2012 12:00:00 UTC 2012 年 1 月 22 日 (日) 21 時 0 分 0 秒 (日本時間)
403e62400300Dmitry DomanovJanuary 25, 2012 12:30:47 UTC 2012 年 1 月 25 日 (水) 21 時 30 分 47 秒 (日本時間)
1000Dmitry DomanovJanuary 27, 2012 06:33:00 UTC 2012 年 1 月 27 日 (金) 15 時 33 分 0 秒 (日本時間)
1100Dmitry DomanovJanuary 30, 2012 11:13:55 UTC 2012 年 1 月 30 日 (月) 20 時 13 分 55 秒 (日本時間)
4511e60 / 3243--
5043e6200 / 7462Dmitry DomanovMarch 22, 2012 19:52:36 UTC 2012 年 3 月 23 日 (金) 4 時 52 分 36 秒 (日本時間)

5×10236+73

c187

name 名前Dmitry Domanov
date 日付January 26, 2012 08:50:30 UTC 2012 年 1 月 26 日 (木) 17 時 50 分 30 秒 (日本時間)
composite number 合成数
6408611538767315304095987270047071118679680305381768686368952935245612097239930214595584282354488180929424653378969594606580107489053714425673323743233379089716172273807714128446911214723<187>
prime factors 素因数
13474633775905475454288195585290837<35>
composite cofactor 合成数の残り
475605619072690982290101157432011228583349004159154688856491286561644709019956671370688137941388710218728429033328290957323536329517181205806544730837879<153>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=240604902
Step 1 took 23443ms
********** Factor found in step 1: 13474633775905475454288195585290837
Found probable prime factor of 35 digits: 13474633775905475454288195585290837

c153

name 名前Dmitry Domanov
date 日付January 27, 2012 06:56:56 UTC 2012 年 1 月 27 日 (金) 15 時 56 分 56 秒 (日本時間)
composite number 合成数
475605619072690982290101157432011228583349004159154688856491286561644709019956671370688137941388710218728429033328290957323536329517181205806544730837879<153>
prime factors 素因数
2609683023598700134797399366158652791897<40>
182246508396579308684384137904928673334880395664018984278527442497755589067777267136649745090026796068998180041807<114>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3379424154
Step 1 took 17343ms
********** Factor found in step 1: 2609683023598700134797399366158652791897
Found probable prime factor of 40 digits: 2609683023598700134797399366158652791897

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 22, 2012 12:00:00 UTC 2012 年 1 月 22 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61300 / 2318300Dmitry DomanovJanuary 25, 2012 12:30:55 UTC 2012 年 1 月 25 日 (水) 21 時 30 分 55 秒 (日本時間)
1000Dmitry DomanovJanuary 27, 2012 06:33:10 UTC 2012 年 1 月 27 日 (金) 15 時 33 分 10 秒 (日本時間)

5×10237+73

c223

composite cofactor 合成数の残り
3580504256355252192209502308002221295717622484246845735634733368067055165133574512475073175928796563585651259875989111816361822261768294128696014633532370598430965404650771416032769123177811904322583502703228784754895255107<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 22, 2012 12:00:00 UTC 2012 年 1 月 22 日 (日) 21 時 0 分 0 秒 (日本時間)
403e62400300Dmitry DomanovJanuary 25, 2012 12:31:03 UTC 2012 年 1 月 25 日 (水) 21 時 31 分 3 秒 (日本時間)
1000Dmitry DomanovJanuary 27, 2012 06:33:21 UTC 2012 年 1 月 27 日 (金) 15 時 33 分 21 秒 (日本時間)
1100Dmitry DomanovJanuary 30, 2012 11:14:07 UTC 2012 年 1 月 30 日 (月) 20 時 14 分 7 秒 (日本時間)
4511e63401Thomas KozlowskiDecember 20, 2024 21:25:19 UTC 2024 年 12 月 21 日 (土) 6 時 25 分 19 秒 (日本時間)
5043e6200 / 6699Dmitry DomanovMarch 22, 2012 19:53:01 UTC 2012 年 3 月 23 日 (金) 4 時 53 分 1 秒 (日本時間)

5×10238+73

c228

name 名前Warut Roonguthai
date 日付January 22, 2012 17:57:01 UTC 2012 年 1 月 23 日 (月) 2 時 57 分 1 秒 (日本時間)
composite number 合成数
142598586717229609164895639155963492896964519453749228270270054370922679453108397750768203177059002357231245248561669586360480483343904294477613849615686467975353229961038441737613713638066210896088602278835728296830562673926967<228>
prime factors 素因数
1755710880777458132544584566079<31>
composite cofactor 合成数の残り
81219857026849757173722630518221828770214904822236912722852540505855118842038899271795112657979474889316421674469628487417216995467098798327585986992483997963576769110482135031843851684737777060873<197>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=82124007
Step 1 took 11560ms
Step 2 took 6583ms
********** Factor found in step 2: 1755710880777458132544584566079
Found probable prime factor of 31 digits: 1755710880777458132544584566079
Composite cofactor 81219857026849757173722630518221828770214904822236912722852540505855118842038899271795112657979474889316421674469628487417216995467098798327585986992483997963576769110482135031843851684737777060873 has 197 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 22, 2012 12:00:00 UTC 2012 年 1 月 22 日 (日) 21 時 0 分 0 秒 (日本時間)
403e62400300Dmitry DomanovJanuary 25, 2012 12:31:10 UTC 2012 年 1 月 25 日 (水) 21 時 31 分 10 秒 (日本時間)
1000Dmitry DomanovJanuary 27, 2012 06:33:31 UTC 2012 年 1 月 27 日 (金) 15 時 33 分 31 秒 (日本時間)
1100Dmitry DomanovJanuary 30, 2012 11:14:19 UTC 2012 年 1 月 30 日 (月) 20 時 14 分 19 秒 (日本時間)
4511e63404Thomas KozlowskiDecember 20, 2024 22:32:51 UTC 2024 年 12 月 21 日 (土) 7 時 32 分 51 秒 (日本時間)
5043e6200 / 6698Dmitry DomanovMarch 17, 2012 20:34:35 UTC 2012 年 3 月 18 日 (日) 5 時 34 分 35 秒 (日本時間)

5×10241+73

c242

name 名前Bob Backstrom
date 日付March 30, 2019 14:02:22 UTC 2019 年 3 月 30 日 (土) 23 時 2 分 22 秒 (日本時間)
composite number 合成数
16666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669<242>
prime factors 素因数
1196896887399080895189505749767064624879309124861267257645603793<64>
13924897660051735135869700270047650507216458894284312754702517689933803600598000074177513267950270237435746320309617174749995746378141323956109379678593374331440508751229638165533<179>
factorization results 素因数分解の結果
Number: n
N=16666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669
  ( 242 digits)
SNFS difficulty: 241 digits.
Divisors found:

Sun Mar 31 00:56:48 2019  p64 factor: 1196896887399080895189505749767064624879309124861267257645603793
Sun Mar 31 00:56:48 2019  p179 factor: 1392489766005173513586970027004765050721645889428431275470251768993380360059800007417751326795027023743574632030961717474999574637814132395610937967859337433144050875122
9638165533
Sun Mar 31 00:56:48 2019  elapsed time 68:40:57 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.121).
Factorization parameters were as follows:
#
# N = 5x10^241+7 = 16(240)9
#
n: 16666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669
m: 10000000000000000000000000000000000000000
deg: 6
c6: 50
c0: 7
skew: 0.72
# Murphy_E = 4.157e-13
type: snfs
lss: 1
rlim: 75000000
alim: 75000000
lpbr: 30
lpba: 30
mfbr: 61
mfba: 61
rlambda: 2.7
alambda: 2.7
Factor base limits: 75000000/75000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 61/61
Sieved  special-q in [100000, 286300000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 28200097 hash collisions in 130884858 relations (103599538 unique)
Msieve: matrix is 10761922 x 10762147 (3773.7 MB)

Sieving start time: 2019/03/19 06:57:26
Sieving end time  : 2019/03/28 00:44:06

Total sieving time: 209hrs 46min 40secs.

Total relation processing time: 67hrs 27min 27sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 24min 31sec.

Prototype def-par.txt line would be:
snfs,241,6,0,0,0,0,0,0,0,0,75000000,75000000,30,30,61,61,2.7,2.7,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.044000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16285100K/16703460K available (12300K kernel code, 2473K rwdata, 4252K rodata, 2408K init, 2416K bss, 418360K reserved, 0K cma-reserved)
[    0.076570] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.90 BogoMIPS (lpj=11977808)
[    0.074212] smpboot: Total of 16 processors activated (95822.46 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 22, 2012 12:00:00 UTC 2012 年 1 月 22 日 (日) 21 時 0 分 0 秒 (日本時間)
403e62400300Dmitry DomanovJanuary 25, 2012 12:31:18 UTC 2012 年 1 月 25 日 (水) 21 時 31 分 18 秒 (日本時間)
1000Dmitry DomanovJanuary 27, 2012 06:33:43 UTC 2012 年 1 月 27 日 (金) 15 時 33 分 43 秒 (日本時間)
1100Dmitry DomanovJanuary 30, 2012 11:14:27 UTC 2012 年 1 月 30 日 (月) 20 時 14 分 27 秒 (日本時間)
4511e60--
5043e61120400Dmitry DomanovFebruary 17, 2012 21:07:13 UTC 2012 年 2 月 18 日 (土) 6 時 7 分 13 秒 (日本時間)
720Dmitry DomanovFebruary 24, 2012 09:15:01 UTC 2012 年 2 月 24 日 (金) 18 時 15 分 1 秒 (日本時間)
5511e72641 / 173481Dmitry DomanovFebruary 24, 2012 09:15:01 UTC 2012 年 2 月 24 日 (金) 18 時 15 分 1 秒 (日本時間)
2640yoyo@homeFebruary 2, 2013 17:05:10 UTC 2013 年 2 月 3 日 (日) 2 時 5 分 10 秒 (日本時間)
6026e71 / 40885Dmitry DomanovFebruary 24, 2012 09:15:01 UTC 2012 年 2 月 24 日 (金) 18 時 15 分 1 秒 (日本時間)

5×10242+73

c225

composite cofactor 合成数の残り
160022822160011954127143911961015160295385709488458610265210119232920320569832529373176194546174202201953377622943731922372508305261471255637882258803431451452111861363040604758646295750677558814227001011067271266744201321853<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 22, 2012 12:00:00 UTC 2012 年 1 月 22 日 (日) 21 時 0 分 0 秒 (日本時間)
403e62400300Dmitry DomanovJanuary 25, 2012 12:31:27 UTC 2012 年 1 月 25 日 (水) 21 時 31 分 27 秒 (日本時間)
1000Dmitry DomanovJanuary 27, 2012 06:33:53 UTC 2012 年 1 月 27 日 (金) 15 時 33 分 53 秒 (日本時間)
1100Dmitry DomanovJanuary 30, 2012 11:14:38 UTC 2012 年 1 月 30 日 (月) 20 時 14 分 38 秒 (日本時間)
4511e63402Thomas KozlowskiDecember 20, 2024 23:49:39 UTC 2024 年 12 月 21 日 (土) 8 時 49 分 39 秒 (日本時間)
5043e6200 / 6698Dmitry DomanovMarch 22, 2012 19:53:20 UTC 2012 年 3 月 23 日 (金) 4 時 53 分 20 秒 (日本時間)

5×10245+73

c246

name 名前NFS@Home + Greg Childers
date 日付March 3, 2022 13:06:21 UTC 2022 年 3 月 3 日 (木) 22 時 6 分 21 秒 (日本時間)
composite number 合成数
166666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669<246>
prime factors 素因数
20230536101110264398845119798691826279046803954725799809839<59>
8238371234142425735367862973852768030029044218468742033464027468470112586572582920917116704416891044971144152184601530166549334744204908138270868088816570607863483233545761872805783967971<187>
factorization results 素因数分解の結果
p59 factor: 20230536101110264398845119798691826279046803954725799809839
p187 factor: 8238371234142425735367862973852768030029044218468742033464027468470112586572582920917116704416891044971144152184601530166549334744204908138270868088816570607863483233545761872805783967971

Complete log at: https://pastebin.com/peHsTVc9
software ソフトウェア
GGNFS + Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 22, 2012 12:00:00 UTC 2012 年 1 月 22 日 (日) 21 時 0 分 0 秒 (日本時間)
403e62400300Dmitry DomanovJanuary 25, 2012 12:31:34 UTC 2012 年 1 月 25 日 (水) 21 時 31 分 34 秒 (日本時間)
1000Dmitry DomanovJanuary 27, 2012 06:34:02 UTC 2012 年 1 月 27 日 (金) 15 時 34 分 2 秒 (日本時間)
1100Dmitry DomanovJanuary 30, 2012 11:14:46 UTC 2012 年 1 月 30 日 (月) 20 時 14 分 46 秒 (日本時間)
4511e60--
5043e61120600Dmitry DomanovFebruary 17, 2012 21:06:25 UTC 2012 年 2 月 18 日 (土) 6 時 6 分 25 秒 (日本時間)
520Dmitry DomanovFebruary 24, 2012 09:13:25 UTC 2012 年 2 月 24 日 (金) 18 時 13 分 25 秒 (日本時間)
5511e726411Dmitry DomanovFebruary 24, 2012 09:13:25 UTC 2012 年 2 月 24 日 (金) 18 時 13 分 25 秒 (日本時間)
2640yoyo@homeFebruary 2, 2013 23:30:16 UTC 2013 年 2 月 3 日 (日) 8 時 30 分 16 秒 (日本時間)
6026e78193 / 408851Dmitry DomanovFebruary 24, 2012 09:13:25 UTC 2012 年 2 月 24 日 (金) 18 時 13 分 25 秒 (日本時間)
8192iveliveFebruary 21, 2022 08:41:15 UTC 2022 年 2 月 21 日 (月) 17 時 41 分 15 秒 (日本時間)

5×10246+73

c232

composite cofactor 合成数の残り
2847040066954929992036593037857111902408431830610253387209835850517029639648372351472447534101580432976006878037008557211266463302967179296335848035066872538400829210960039666919668155850714830184318652681449848781660877450152203961<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 22, 2012 12:00:00 UTC 2012 年 1 月 22 日 (日) 21 時 0 分 0 秒 (日本時間)
403e62400300Dmitry DomanovJanuary 25, 2012 12:31:42 UTC 2012 年 1 月 25 日 (水) 21 時 31 分 42 秒 (日本時間)
1000Dmitry DomanovJanuary 27, 2012 06:34:12 UTC 2012 年 1 月 27 日 (金) 15 時 34 分 12 秒 (日本時間)
1100Dmitry DomanovJanuary 30, 2012 11:14:56 UTC 2012 年 1 月 30 日 (月) 20 時 14 分 56 秒 (日本時間)
4511e63401Thomas KozlowskiDecember 21, 2024 01:17:42 UTC 2024 年 12 月 21 日 (土) 10 時 17 分 42 秒 (日本時間)
5043e6200 / 6699Dmitry DomanovMarch 22, 2012 19:53:33 UTC 2012 年 3 月 23 日 (金) 4 時 53 分 33 秒 (日本時間)

5×10247+73

c194

composite cofactor 合成数の残り
67458114514727215412798424375981736105676515893282273687460218324165869092163035961372427360402072242968404808754670294973696634237114220254070502469031393817870107832906063761815030089359354631<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 22, 2012 12:00:00 UTC 2012 年 1 月 22 日 (日) 21 時 0 分 0 秒 (日本時間)
403e62400300Dmitry DomanovJanuary 25, 2012 12:31:53 UTC 2012 年 1 月 25 日 (水) 21 時 31 分 53 秒 (日本時間)
1000Dmitry DomanovJanuary 27, 2012 06:34:23 UTC 2012 年 1 月 27 日 (金) 15 時 34 分 23 秒 (日本時間)
1000Dmitry DomanovJanuary 30, 2012 11:15:05 UTC 2012 年 1 月 30 日 (月) 20 時 15 分 5 秒 (日本時間)
100Dmitry DomanovJanuary 31, 2012 13:32:59 UTC 2012 年 1 月 31 日 (火) 22 時 32 分 59 秒 (日本時間)
4511e63405Thomas KozlowskiDecember 21, 2024 02:25:22 UTC 2024 年 12 月 21 日 (土) 11 時 25 分 22 秒 (日本時間)
5043e6200 / 6698Dmitry DomanovMarch 17, 2012 20:34:54 UTC 2012 年 3 月 18 日 (日) 5 時 34 分 54 秒 (日本時間)

5×10248+73

c213

name 名前Dmitry Domanov
date 日付January 26, 2012 08:49:20 UTC 2012 年 1 月 26 日 (木) 17 時 49 分 20 秒 (日本時間)
composite number 合成数
286615837187613708643939056120408237042261917298123182268477085423647334600773337520147189755984524708390766415558019342763221560610868171413953141934397364183910388978286295240504491862575024451725396799534707567<213>
prime factors 素因数
3582485436942074300374884912276155713<37>
80004745931992476519697098927007900656148893031026075331543593590974907410497659156861194903865466983544569339546568778496069689354852940815945366077265367659186782856374928559<176>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1655760313
Step 1 took 31986ms
Step 2 took 11108ms
********** Factor found in step 2: 3582485436942074300374884912276155713
Found probable prime factor of 37 digits: 3582485436942074300374884912276155713

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 22, 2012 12:00:00 UTC 2012 年 1 月 22 日 (日) 21 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovJanuary 25, 2012 12:32:00 UTC 2012 年 1 月 25 日 (水) 21 時 32 分 0 秒 (日本時間)

5×10249+73

c225

name 名前Thomas Kozlowski
date 日付December 21, 2024 02:31:44 UTC 2024 年 12 月 21 日 (土) 11 時 31 分 44 秒 (日本時間)
composite number 合成数
231094717011254288930019659580334506707937647049381330845584405343097894297413547730022266868478690677514699939085194706386154133863505066697551297697122079576767803903627988087523359243681778331661155339302733642840854213349<225>
prime factors 素因数
474504602531726617622801807088856082910732431<45>
487023130604518619588880032059759096128662508178316570181053950722438945259894446860906019551347045457518264246509072607989078803113413684116917086828745772750101364526244448962379<180>
factorization results 素因数分解の結果
GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 231094717011254288930019659580334506707937647049381330845584405343097894297413547730022266868478690677514699939085194706386154133863505066697551297697122079576767803903627988087523359243681778331661155339302733642840854213349 (225 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1905562490
Step 1 took 37891ms
Step 2 took 15011ms
Run 2 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2009344671
Step 1 took 37169ms
Step 2 took 14573ms
Run 3 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4157731797
Step 1 took 37610ms
Step 2 took 14607ms
** Factor found in step 2: 474504602531726617622801807088856082910732431
Found prime factor of 45 digits: 474504602531726617622801807088856082910732431
Prime cofactor 487023130604518619588880032059759096128662508178316570181053950722438945259894446860906019551347045457518264246509072607989078803113413684116917086828745772750101364526244448962379 has 180 digits
execution environment 実行環境
2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 22, 2012 12:00:00 UTC 2012 年 1 月 22 日 (日) 21 時 0 分 0 秒 (日本時間)
403e62400300Dmitry DomanovJanuary 25, 2012 12:32:10 UTC 2012 年 1 月 25 日 (水) 21 時 32 分 10 秒 (日本時間)
1000Dmitry DomanovJanuary 27, 2012 06:34:31 UTC 2012 年 1 月 27 日 (金) 15 時 34 分 31 秒 (日本時間)
1100Dmitry DomanovJanuary 30, 2012 11:15:14 UTC 2012 年 1 月 30 日 (月) 20 時 15 分 14 秒 (日本時間)
4511e60 / 3243--
5043e6200 / 7462Dmitry DomanovMarch 22, 2012 19:53:48 UTC 2012 年 3 月 23 日 (金) 4 時 53 分 48 秒 (日本時間)

5×10250+73

c233

name 名前Dmitry Domanov
date 日付January 23, 2012 14:54:05 UTC 2012 年 1 月 23 日 (月) 23 時 54 分 5 秒 (日本時間)
composite number 合成数
16613638996291140929543241078954006981203833591713958934303432862133241788758701628066331622907070675160243248798365039810191146512461141465680822601267102409341154567597567614777735368660649466088626212457149842923934250398646784289<233>
prime factors 素因数
65341782561961721642964186247434276839<38>
composite cofactor 合成数の残り
254257510966079136415204643810734544469119858077419220089054899376849627332598443805955011315770260197751617950728587535966139043086537396768940456130941181652051868617314004866383452577335514551<195>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=437530923
Step 1 took 131021ms
Step 2 took 39930ms
********** Factor found in step 2: 65341782561961721642964186247434276839
Found probable prime factor of 38 digits: 65341782561961721642964186247434276839

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 22, 2012 12:00:00 UTC 2012 年 1 月 22 日 (日) 21 時 0 分 0 秒 (日本時間)
403e6450300Dmitry DomanovJanuary 23, 2012 07:07:09 UTC 2012 年 1 月 23 日 (月) 16 時 7 分 9 秒 (日本時間)
150Dmitry DomanovJanuary 23, 2012 11:51:44 UTC 2012 年 1 月 23 日 (月) 20 時 51 分 44 秒 (日本時間)
4511e61200Dmitry DomanovJanuary 23, 2012 11:51:44 UTC 2012 年 1 月 23 日 (月) 20 時 51 分 44 秒 (日本時間)
5043e6900 / 7259400Dmitry DomanovJanuary 24, 2012 17:29:58 UTC 2012 年 1 月 25 日 (水) 2 時 29 分 58 秒 (日本時間)
500Dmitry DomanovFebruary 4, 2012 22:18:13 UTC 2012 年 2 月 5 日 (日) 7 時 18 分 13 秒 (日本時間)
5511e71 / 17367Dmitry DomanovFebruary 4, 2012 22:18:13 UTC 2012 年 2 月 5 日 (日) 7 時 18 分 13 秒 (日本時間)
6026e71 / 41892Dmitry DomanovFebruary 4, 2012 22:18:13 UTC 2012 年 2 月 5 日 (日) 7 時 18 分 13 秒 (日本時間)

5×10251+73

c215

composite cofactor 合成数の残り
39644835136625294312568273011094431114368454700457031462515634309555835183240800170502719810355360914382022812028250251990186242542592099905805941624257651310477397200599630479506533658579815964934299183389774673837<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)
403e60--
4511e646001000Lionel DebrouxJuly 11, 2020 17:51:45 UTC 2020 年 7 月 12 日 (日) 2 時 51 分 45 秒 (日本時間)
3600Thomas KozlowskiDecember 21, 2024 03:48:51 UTC 2024 年 12 月 21 日 (土) 12 時 48 分 51 秒 (日本時間)

5×10253+73

c246

name 名前Lionel Debroux
date 日付October 23, 2020 19:56:10 UTC 2020 年 10 月 24 日 (土) 4 時 56 分 10 秒 (日本時間)
composite number 合成数
739479058004840836967835929474225804988398534902679453561062712453257713613278511905472332856916555423134575708435357410268616211507693236933068582083070208197518760842519253113728166936273336424651587416769968193674652907386888506834568640494521<246>
prime factors 素因数
31949737892177401245850523930007583<35>
composite cofactor 合成数の残り
23145074319557891162065104811342875979033203244703200029123418714895680143943040310453060539198258211673154974089390536004571600604121499537287036338581494163243777675378532744742530377135704010722996475310395687<212>
factorization results 素因数分解の結果
31949737892177401245850523930007583
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Core i7-6700HQ @ 2.6 GHz, Debian sid amd64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)
403e60--
4511e6200Thomas KozlowskiDecember 21, 2024 03:54:01 UTC 2024 年 12 月 21 日 (土) 12 時 54 分 1 秒 (日本時間)
5043e6900 / 7142Lionel DebrouxOctober 22, 2020 19:52:34 UTC 2020 年 10 月 23 日 (金) 4 時 52 分 34 秒 (日本時間)
5511e7150 / 17435Lionel DebrouxOctober 23, 2020 19:56:00 UTC 2020 年 10 月 24 日 (土) 4 時 56 分 0 秒 (日本時間)

5×10255+73

c224

composite cofactor 合成数の残り
74596041543802565717714325862578802185329631912974421454235597261925497174393389336698021685613751691870970762783931330047164843824611515588206850045837863578058245847785281099708910373572062339967342868716494733818805966603<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62104ebinaOctober 27, 2021 06:04:06 UTC 2021 年 10 月 27 日 (水) 15 時 4 分 6 秒 (日本時間)
4511e64003Thomas KozlowskiDecember 21, 2024 05:24:25 UTC 2024 年 12 月 21 日 (土) 14 時 24 分 25 秒 (日本時間)

5×10256+73

c221

composite cofactor 合成数の残り
52298676513145480381373010559335487426021352835371275806332592179733378565234585115173713611907053564488747613767511809368739162835483191222682389212639826104625590867489153694092079163775476553162913056533129983352134451<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62104ebinaOctober 27, 2021 06:04:40 UTC 2021 年 10 月 27 日 (水) 15 時 4 分 40 秒 (日本時間)
4511e64001Thomas KozlowskiDecember 21, 2024 06:55:01 UTC 2024 年 12 月 21 日 (土) 15 時 55 分 1 秒 (日本時間)

5×10257+73

c248

composite cofactor 合成数の残り
11662009742439813415609153529891475618192720522733049042089077304071899948947726081744050698390046029457284476279556931702217822775072951919440313949323863261016949458205624842524194337254152858036913491071576548379441333670324457911628492419722251<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62104ebinaOctober 27, 2021 06:05:23 UTC 2021 年 10 月 27 日 (水) 15 時 5 分 23 秒 (日本時間)
4511e64002Thomas KozlowskiDecember 21, 2024 08:38:13 UTC 2024 年 12 月 21 日 (土) 17 時 38 分 13 秒 (日本時間)

5×10258+73

c244

composite cofactor 合成数の残り
8217980018645139172551293436757167877247526186303569834975990242713223451317323625345637320195351315940771518536863316002740183380075962155533929949371673861973823157429229879304691572400195385988381545062395690331383817510873067082155676219951<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62104ebinaOctober 27, 2021 06:06:03 UTC 2021 年 10 月 27 日 (水) 15 時 6 分 3 秒 (日本時間)
4511e64001Thomas KozlowskiDecember 21, 2024 10:21:56 UTC 2024 年 12 月 21 日 (土) 19 時 21 分 56 秒 (日本時間)

5×10261+73

c239

composite cofactor 合成数の残り
28679360766842593343272566355493101087840345626990604572772565780603422317590955146876575149189212333392468746847307918019210400697324343798193287083914226131753140760804860171658181444047315758164639058198434837363340650671667325018253937<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62402610Marlon TrifunovicMarch 4, 2022 03:30:51 UTC 2022 年 3 月 4 日 (金) 12 時 30 分 51 秒 (日本時間)
1792Dmitry DomanovOctober 13, 2023 09:36:02 UTC 2023 年 10 月 13 日 (金) 18 時 36 分 2 秒 (日本時間)
4511e64002Thomas KozlowskiDecember 21, 2024 12:05:02 UTC 2024 年 12 月 21 日 (土) 21 時 5 分 2 秒 (日本時間)

5×10262+73

c259

name 名前Thomas Kozlowski
date 日付December 21, 2024 13:07:37 UTC 2024 年 12 月 21 日 (土) 22 時 7 分 37 秒 (日本時間)
composite number 合成数
1556032738928827062521395450160271372109669187439703731366507951327295926306289484330750318986711480409547816886067282855631282482183425139264930134130022095664892789344287803815392275853483957302461643792985404412908847602153549310677496654529611303021815579<259>
prime factors 素因数
2284428348311517461025998313874190919494082283<46>
composite cofactor 合成数の残り
681147535259283917690775679354687100805104647324244349016981935146401759614480894006507208944158842805024456768311498814260230931941730715596033803382491013375995115669414705004922031845599063888471193387061767313<213>
factorization results 素因数分解の結果
GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 1556032738928827062521395450160271372109669187439703731366507951327295926306289484330750318986711480409547816886067282855631282482183425139264930134130022095664892789344287803815392275853483957302461643792985404412908847602153549310677496654529611303021815579 (259 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1818110817
Step 1 took 51305ms
Step 2 took 17598ms
Run 2 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1812245346
Step 1 took 48920ms
Step 2 took 17615ms
Run 3 out of 0:
...
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1369673512
Step 1 took 48503ms
Step 2 took 18178ms
Run 50 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2934811414
Step 1 took 48477ms
Step 2 took 17482ms
** Factor found in step 2: 2284428348311517461025998313874190919494082283
Found prime factor of 46 digits: 2284428348311517461025998313874190919494082283
Composite cofactor 681147535259283917690775679354687100805104647324244349016981935146401759614480894006507208944158842805024456768311498814260230931941730715596033803382491013375995115669414705004922031845599063888471193387061767313 has 213 digits
execution environment 実行環境
2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovDecember 13, 2015 17:02:14 UTC 2015 年 12 月 14 日 (月) 2 時 2 分 14 秒 (日本時間)
4511e6800 / 4306Dmitry DomanovFebruary 4, 2016 18:08:19 UTC 2016 年 2 月 5 日 (金) 3 時 8 分 19 秒 (日本時間)

5×10263+73

c258

name 名前Dmitry Domanov
date 日付December 13, 2015 18:38:25 UTC 2015 年 12 月 14 日 (月) 3 時 38 分 25 秒 (日本時間)
composite number 合成数
901588057203959053476794024995627297922560798590637548978771207605075580126835407887452959643115383436384848271745853145730890390333533485882032612243205181606882362593472141830620454869206620541421660112121490793884347890374104948456210769649660912731685591<258>
prime factors 素因数
1389180244447246257128465835242280553<37>
composite cofactor 合成数の残り
649007255039608084011242002357251143869443345588385799806243800064439207266024468233382849385466666906770092537631149367295541439538044837688073721229597933657449724858788133094119857479167389498218571560364727286340413247<222>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=609479322
Step 1 took 39933ms
Step 2 took 13482ms
********** Factor found in step 2: 1389180244447246257128465835242280553
Found probable prime factor of 37 digits: 1389180244447246257128465835242280553

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62392600Dmitry DomanovDecember 13, 2015 17:01:57 UTC 2015 年 12 月 14 日 (月) 2 時 1 分 57 秒 (日本時間)
1792Dmitry DomanovOctober 13, 2023 09:36:14 UTC 2023 年 10 月 13 日 (金) 18 時 36 分 14 秒 (日本時間)

5×10264+73

c240

composite cofactor 合成数の残り
273777451073018020784479399694388967148056957589032346391547266027402615903723441967661867352862506143963071408839990911315550100125773047240871175403458896698283472848593083997718896450162077773840326531981206831122455530703556063828120683<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62402610Marlon TrifunovicFebruary 28, 2022 23:37:13 UTC 2022 年 3 月 1 日 (火) 8 時 37 分 13 秒 (日本時間)
1792Dmitry DomanovOctober 13, 2023 09:36:24 UTC 2023 年 10 月 13 日 (金) 18 時 36 分 24 秒 (日本時間)

5×10266+73

c240

composite cofactor 合成数の残り
202322768244132540900008740112164993164599563143956342169706354467735419620097608443763989347719674004771291951718196191930746537918174000601417999897303058762964216566510560198104369207212281208508662087319605549799356443527278384914903567<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62402610Marlon TrifunovicMarch 3, 2022 22:26:16 UTC 2022 年 3 月 4 日 (金) 7 時 26 分 16 秒 (日本時間)
1792Dmitry DomanovOctober 13, 2023 09:36:32 UTC 2023 年 10 月 13 日 (金) 18 時 36 分 32 秒 (日本時間)

5×10267+73

c195

composite cofactor 合成数の残り
382313376026995968533033561540337147589762194832055946865594904898256529500482398401414132032334509503777714407135506206161161595076959600220310784949775394061345923653883068454620459273650680207<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 24, 2017 08:51:53 UTC 2017 年 1 月 24 日 (火) 17 時 51 分 53 秒 (日本時間)
4511e6330 / 4218Dmitry DomanovJanuary 24, 2017 11:18:49 UTC 2017 年 1 月 24 日 (火) 20 時 18 分 49 秒 (日本時間)

5×10269+73

c258

composite cofactor 合成数の残り
441221799522397025974249497321960960259319950983739030677970432461721052544329301110984914155086763036554506313837265928115776384588997312199201943624420192611890558659883153739919666503635959172869356509743477784850555252714624066172061285074560353973327907<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62402610Marlon TrifunovicMarch 8, 2022 02:44:39 UTC 2022 年 3 月 8 日 (火) 11 時 44 分 39 秒 (日本時間)
1792Dmitry DomanovOctober 13, 2023 09:36:44 UTC 2023 年 10 月 13 日 (金) 18 時 36 分 44 秒 (日本時間)

5×10271+73

c238

composite cofactor 合成数の残り
1999420577234965284743389940840134351087530434422469102236827183203568413855815460652564793898364913192724644969636227678103591790901461887115608071981662205640879020139223435824955627775581973683935042633069066583210790089336119653392957<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62402610Marlon TrifunovicFebruary 20, 2022 17:30:05 UTC 2022 年 2 月 21 日 (月) 2 時 30 分 5 秒 (日本時間)
1792Dmitry DomanovOctober 13, 2023 09:36:51 UTC 2023 年 10 月 13 日 (金) 18 時 36 分 51 秒 (日本時間)

5×10273+73

c269

name 名前Dmitry Domanov
date 日付December 13, 2015 18:15:49 UTC 2015 年 12 月 14 日 (月) 3 時 15 分 49 秒 (日本時間)
composite number 合成数
17809883060307826018814360464909187406275490395130065575989428053415401274475231795628029906355634868901450793074092675507492617803471502406115201447587295141820098809231218587818752382071859316171730016420712181603815589346840348646270788586002144309920461062252665249<269>
prime factors 素因数
3855342808997251101408923099947593370597<40>
composite cofactor 合成数の残り
4619532929405065687473976168216306718967859433009168778173979396837738068714763900502526196338547413927355023938677035462062046120639292174093740150404754948375303243031025275486129055111180003767681860596195333757744871209538317<229>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4175302067
Step 1 took 41263ms
Step 2 took 14380ms
********** Factor found in step 2: 3855342808997251101408923099947593370597
Found probable prime factor of 40 digits: 3855342808997251101408923099947593370597

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62392600Dmitry DomanovDecember 13, 2015 16:58:44 UTC 2015 年 12 月 14 日 (月) 1 時 58 分 44 秒 (日本時間)
1792Dmitry DomanovOctober 13, 2023 09:37:00 UTC 2023 年 10 月 13 日 (金) 18 時 37 分 0 秒 (日本時間)

5×10274+73

c232

composite cofactor 合成数の残り
6403083271751330828997169991624628165513352835291641265421539515359900655860618749802290207689117122970204301082431184394401478200583019627600488588239185153746875914847626558877225214001086877697144817692567689965320651157924782289<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62402610Marlon TrifunovicMarch 4, 2022 04:59:56 UTC 2022 年 3 月 4 日 (金) 13 時 59 分 56 秒 (日本時間)
1792Dmitry DomanovOctober 13, 2023 09:37:07 UTC 2023 年 10 月 13 日 (金) 18 時 37 分 7 秒 (日本時間)

5×10275+73

c245

composite cofactor 合成数の残り
17531197377668334252241247665320906624780854527031813157580375298779859951374955883383659211483311359045336233607110978114400058253929499516782189476355349592335598407301074360606206004475377537665558342434853370176005260735836136735586901422893<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62402610Marlon TrifunovicMarch 2, 2022 05:13:17 UTC 2022 年 3 月 2 日 (水) 14 時 13 分 17 秒 (日本時間)
1792Dmitry DomanovOctober 13, 2023 09:37:14 UTC 2023 年 10 月 13 日 (金) 18 時 37 分 14 秒 (日本時間)

5×10276+73

c225

composite cofactor 合成数の残り
239653876288857935971155462951593255687376361683589383696911554584582048088575470589648531966505061346105922266429881107533350701205554510881985917747483674005618766202102522790357562813881789509146834868979962900463382888579<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62402610Marlon TrifunovicFebruary 22, 2022 17:00:37 UTC 2022 年 2 月 23 日 (水) 2 時 0 分 37 秒 (日本時間)
1792Dmitry DomanovOctober 13, 2023 09:37:22 UTC 2023 年 10 月 13 日 (金) 18 時 37 分 22 秒 (日本時間)

5×10277+73

c265

composite cofactor 合成数の残り
4882644327305063556452377728720312064687046839352179474880019771318736124313514726868418565483302994846088077182773151185635022538745145810578732309492734596151688783085894762298897905028029689637671872601292394882332729259100469625036240057852241749449601576561557<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62402610Marlon TrifunovicMarch 7, 2022 16:31:44 UTC 2022 年 3 月 8 日 (火) 1 時 31 分 44 秒 (日本時間)
1792Dmitry DomanovOctober 13, 2023 09:37:31 UTC 2023 年 10 月 13 日 (金) 18 時 37 分 31 秒 (日本時間)

5×10279+73

c270

composite cofactor 合成数の残り
110722859801426703248862667168471613693804441068134782377687232433374852986291805692761321183102117088662422444160949383237055963545529107337577476207169847576859059872440665097637955208676136220605454094901768819167777050257209545452351018055621014818001109187994030457<270>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62402610Marlon TrifunovicMarch 8, 2022 07:53:19 UTC 2022 年 3 月 8 日 (火) 16 時 53 分 19 秒 (日本時間)
1792Dmitry DomanovOctober 18, 2023 16:12:04 UTC 2023 年 10 月 19 日 (木) 1 時 12 分 4 秒 (日本時間)

5×10280+73

c241

composite cofactor 合成数の残り
5400776500179720720604048587101303035056838379881890812192551535936446094478637600713340774219778007321137386500678098203369770114106628222902120638961834317264123938804981121054710872127682152705864807110118225613347988902253000503068425133<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6610Marlon TrifunovicMarch 1, 2022 18:03:20 UTC 2022 年 3 月 2 日 (水) 3 時 3 分 20 秒 (日本時間)
4511e60--
5043e61600 / 7525Lionel DebrouxOctober 1, 2022 22:49:21 UTC 2022 年 10 月 2 日 (日) 7 時 49 分 21 秒 (日本時間)

5×10281+73

c266

composite cofactor 合成数の残り
22629605001822432541869385231790950167646064599942303016805375736105593897689752405838373986868495598023688139509106094165377993206911184347545953235398055180553133473244495546343639819402353071281720963956613471558040462769744508006485048388728646938444989331728583<266>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62402610Marlon TrifunovicMarch 8, 2022 10:27:17 UTC 2022 年 3 月 8 日 (火) 19 時 27 分 17 秒 (日本時間)
1792Dmitry DomanovOctober 18, 2023 16:12:29 UTC 2023 年 10 月 19 日 (木) 1 時 12 分 29 秒 (日本時間)

5×10282+73

c268

composite cofactor 合成数の残り
1032960864139038204690775407408400724408309793396455910038126634812731047878036907047552218566668662797141754284771735795503983712878294579085538876815932194241204777268538829508387534344747989689499839305411332781989347472070915806210138748653454369303207935480557141<268>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62402610Marlon TrifunovicMarch 8, 2022 09:35:28 UTC 2022 年 3 月 8 日 (火) 18 時 35 分 28 秒 (日本時間)
1792Dmitry DomanovOctober 18, 2023 16:12:42 UTC 2023 年 10 月 19 日 (木) 1 時 12 分 42 秒 (日本時間)

5×10283+73

c204

composite cofactor 合成数の残り
597780272264171743991286848876808656910233192097982095653628554858407368233829084324613579191800381162675446810784380852539661642823144828936557554465637653850994001423827292904418861311105053208872342997<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62402610Marlon TrifunovicFebruary 16, 2022 20:59:44 UTC 2022 年 2 月 17 日 (木) 5 時 59 分 44 秒 (日本時間)
1792Dmitry DomanovOctober 18, 2023 16:13:08 UTC 2023 年 10 月 19 日 (木) 1 時 13 分 8 秒 (日本時間)

5×10285+73

c191

composite cofactor 合成数の残り
25828016259808177617534678049427050487590020298637840203974041488669432667766257619088675839141025979066257167669003434235543540613916405034283391995778940459832419913026236426119066282669837<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovDecember 12, 2015 15:17:29 UTC 2015 年 12 月 13 日 (日) 0 時 17 分 29 秒 (日本時間)
4511e61400600Dmitry DomanovDecember 12, 2015 17:44:08 UTC 2015 年 12 月 13 日 (日) 2 時 44 分 8 秒 (日本時間)
800Dmitry DomanovFebruary 10, 2016 13:32:04 UTC 2016 年 2 月 10 日 (水) 22 時 32 分 4 秒 (日本時間)
5043e62392 / 6922600Dmitry DomanovFebruary 11, 2016 14:24:51 UTC 2016 年 2 月 11 日 (木) 23 時 24 分 51 秒 (日本時間)
1792Dmitry DomanovMay 9, 2024 23:30:21 UTC 2024 年 5 月 10 日 (金) 8 時 30 分 21 秒 (日本時間)
5511e7120 / 16823Dmitry DomanovFebruary 12, 2016 09:38:56 UTC 2016 年 2 月 12 日 (金) 18 時 38 分 56 秒 (日本時間)

5×10286+73

c284

composite cofactor 合成数の残り
25290844714213454729387961557916034395548811330298431967627718765806777946383409205867475973697521497218007081436519979767324228629236216489630753667172483560950935761254425897824987354577642893272635306019221041982802225594334850784016186140617096611026808295397066262013151239251391<284>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovDecember 13, 2015 16:57:11 UTC 2015 年 12 月 14 日 (月) 1 時 57 分 11 秒 (日本時間)
4511e6800 / 4306Dmitry DomanovJanuary 21, 2016 13:49:52 UTC 2016 年 1 月 21 日 (木) 22 時 49 分 52 秒 (日本時間)

5×10288+73

c236

name 名前Dmitry Domanov
date 日付October 18, 2023 23:58:15 UTC 2023 年 10 月 19 日 (木) 8 時 58 分 15 秒 (日本時間)
composite number 合成数
35063561065659438368565765278939919009062876623102169998680710217765348423260096664716153839440889935891796874745788492215907789519402202278984499825213013921569573139847897172333123232069682867349844123429110128384996391169200518697079<236>
prime factors 素因数
5932262042999727440087132922326313191<37>
composite cofactor 合成数の残り
5910656139513533855619691536513237566537752554688427916424912507560528343198122614989343531447953698172719659232097450571392829440761437533666028954393923843707552505606681094294618007543672421865969<199>
factorization results 素因数分解の結果
Resuming ECM residue saved by @c3eb5b01d127 with GMP-ECM 7.0.5-dev on Wed Oct 18 16:38:17 2023 
Input number is 35063561065659438368565765278939919009062876623102169998680710217765348423260096664716153839440889935891796874745788492215907789519402202278984499825213013921569573139847897172333123232069682867349844123429110128384996391169200518697079 (236 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3136343657
Step 1 took 0ms
Step 2 took 5929ms
********** Factor found in step 2: 5932262042999727440087132922326313191
Found prime factor of 37 digits: 5932262042999727440087132922326313191
Composite cofactor 5910656139513533855619691536513237566537752554688427916424912507560528343198122614989343531447953698172719659232097450571392829440761437533666028954393923843707552505606681094294618007543672421865969 has 199 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62402610Marlon TrifunovicMarch 2, 2022 08:01:12 UTC 2022 年 3 月 2 日 (水) 17 時 1 分 12 秒 (日本時間)
1792Dmitry DomanovOctober 18, 2023 16:12:59 UTC 2023 年 10 月 19 日 (木) 1 時 12 分 59 秒 (日本時間)

5×10289+73

c247

composite cofactor 合成数の残り
8561001633624707940850370936526298298072873133340468381086393303911009580905851185814216944628224969920136806014199358853033867603808791540582891923414291094158419514602919726027853806061044492758762988991082658278085221814865252296596305532871887<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62104Eric JeancolasAugust 7, 2020 17:56:52 UTC 2020 年 8 月 8 日 (土) 2 時 56 分 52 秒 (日本時間)

5×10290+73

c279

composite cofactor 合成数の残り
305170427377758613281315042224862602734836708961593112841933894777384673440424253261738394293317182279087775572824617534742897419178790608648650111070864771492929642583651504597842077421193090804683062409047424556305488604674113439704262670508044798906072574539980239093643346761<279>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62104Eric JeancolasAugust 7, 2020 17:55:35 UTC 2020 年 8 月 8 日 (土) 2 時 55 分 35 秒 (日本時間)

5×10292+73

c263

composite cofactor 合成数の残り
24603439855106456405804626024893008784670408551334259271049089558379672113990523576355427355671874695740802810842052751470401526078682174226427940902152611495289024963899860178416734969883076941966704283966858094509010400530799262135882616558137942081481142548931<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62104Eric JeancolasSeptember 10, 2020 02:19:26 UTC 2020 年 9 月 10 日 (木) 11 時 19 分 26 秒 (日本時間)

5×10294+73

c260

composite cofactor 合成数の残り
45925222954264177223458697484196868039956084745613253374483170856602739435321447371294325734108778793174204781431986111307751456458074526495292148069409999595246756635524895512557804892350907269484878245301592622704651064968362013021932232731610570580634227667<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62104Eric JeancolasAugust 7, 2020 17:53:57 UTC 2020 年 8 月 8 日 (土) 2 時 53 分 57 秒 (日本時間)

5×10296+73

c292

composite cofactor 合成数の残り
2815838528555418518080499191854342304594885310896731937803758581267915772637933850321287176108173252912984957790580456954276413973317114103408854122669189657988252321658866793942568157371583683905230138482938834355482719198950255396554539976459589901276701188847026756097698333586758800903321<292>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovDecember 13, 2015 16:55:52 UTC 2015 年 12 月 14 日 (月) 1 時 55 分 52 秒 (日本時間)
4511e6800 / 4306Dmitry DomanovDecember 31, 2015 00:24:45 UTC 2015 年 12 月 31 日 (木) 9 時 24 分 45 秒 (日本時間)

5×10299+73

c269

composite cofactor 合成数の残り
14750954350290119488968632103055338312567908643983424161986108217940533098204995385374220113343560393787222504191624984292184313427096139504316018336214580865637330977402741131548432279174190401562160168477599814064953649843917993231505565170447375475338010840380783031<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62104Eric JeancolasAugust 7, 2020 17:53:16 UTC 2020 年 8 月 8 日 (土) 2 時 53 分 16 秒 (日本時間)