Table of contents 目次

5×10106-3

c107

name 名前Jo Yeong Uk
date 日付July 5, 2007 12:00:43 UTC 2007 年 7 月 5 日 (木) 21 時 0 分 43 秒 (日本時間)
composite number 合成数
49999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997<107>
prime factors 素因数
51379467791652406382241099912651400334898984400190777<53>
973151380289763769238966237755432094392232133691333861<54>
factorization results 素因数分解の結果
Number: 49997_106
N=49999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997
  ( 107 digits)
SNFS difficulty: 106 digits.
Divisors found:
 r1=51379467791652406382241099912651400334898984400190777 (pp53)
 r2=973151380289763769238966237755432094392232133691333861 (pp54)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.45 hours.
Scaled time: 0.96 units (timescale=2.145).
Factorization parameters were as follows:
n: 49999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997
m: 1000000000000000000000
c5: 50
c0: -3
skew: 0.57
type: snfs
Factor base limits: 360000/360000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [180000, 260001)
Primes: RFBsize:30757, AFBsize:30789, largePrimes:1045486 encountered
Relations: rels:987914, finalFF:108071
Max relations in full relation-set: 28
Initial matrix: 61611 x 108071 with sparse part having weight 4604823.
Pruned matrix : 46229 x 46601 with weight 1394879.
Total sieving time: 0.43 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,106,5,0,0,0,0,0,0,0,0,360000,360000,25,25,44,44,2.2,2.2,20000
total time: 0.45 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407679)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405118)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

5×10113-3

c114

name 名前Jo Yeong Uk
date 日付July 5, 2007 12:40:41 UTC 2007 年 7 月 5 日 (木) 21 時 40 分 41 秒 (日本時間)
composite number 合成数
499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997<114>
prime factors 素因数
907436158859512909422687304965377963070381712507<48>
551002949483974443730009627016215019549109574303626681725606916071<66>
factorization results 素因数分解の結果
Number: 49997_113
N=499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997
  ( 114 digits)
SNFS difficulty: 115 digits.
Divisors found:
 r1=907436158859512909422687304965377963070381712507 (pp48)
 r2=551002949483974443730009627016215019549109574303626681725606916071 (pp66)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.63 hours.
Scaled time: 1.34 units (timescale=2.143).
Factorization parameters were as follows:
n: 499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997
m: 100000000000000000000000
c5: 1
c0: -60
skew: 2.27
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, 320001)
Primes: RFBsize:30757, AFBsize:30699, largePrimes:1057310 encountered
Relations: rels:986957, finalFF:96871
Max relations in full relation-set: 28
Initial matrix: 61520 x 96871 with sparse part having weight 4430990.
Pruned matrix : 51748 x 52119 with weight 1665807.
Total sieving time: 0.60 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: 0.63 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407679)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405118)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Total of 4 processors activated (19246.09 BogoMIPS).
software ソフトウェア
\
execution environment 実行環境
Core 2 Quad Q6600

5×10118-3

c113

name 名前Jo Yeong Uk
date 日付July 5, 2007 14:40:57 UTC 2007 年 7 月 5 日 (木) 23 時 40 分 57 秒 (日本時間)
composite number 合成数
17316371139704672753486564747123837335550752379009649028326466237751697783608392344640115590240631756631564073517<113>
prime factors 素因数
63010830359033312483466077306764627266644155646127728707<56>
274815790254415776711435696262112720520718579760139674831<57>
factorization results 素因数分解の結果
Number: 49997_118
N=17316371139704672753486564747123837335550752379009649028326466237751697783608392344640115590240631756631564073517
  ( 113 digits)
SNFS difficulty: 120 digits.
Divisors found:
 r1=63010830359033312483466077306764627266644155646127728707 (pp56)
 r2=274815790254415776711435696262112720520718579760139674831 (pp57)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.78 hours.
Scaled time: 1.68 units (timescale=2.145).
Factorization parameters were as follows:
n: 17316371139704672753486564747123837335550752379009649028326466237751697783608392344640115590240631756631564073517
m: 1000000000000000000000000
c5: 1
c0: -60
skew: 2.27
type: snfs
Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [300000, 420001)
Primes: RFBsize:49098, AFBsize:48986, largePrimes:1903519 encountered
Relations: rels:1888791, finalFF:147578
Max relations in full relation-set: 28
Initial matrix: 98148 x 147578 with sparse part having weight 11914433.
Pruned matrix : 85032 x 85586 with weight 4763073.
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: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407679)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405118)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

5×10120-3

c119

name 名前Jo Yeong Uk
date 日付July 5, 2007 15:46:02 UTC 2007 年 7 月 6 日 (金) 0 時 46 分 2 秒 (日本時間)
composite number 合成数
45871559633027522935779816513761467889908256880733944954128440366972477064220183486238532110091743119266055045871559633<119>
prime factors 素因数
71651015110439976712949381761124614909<38>
640208091432102618875345096934692490876535014728092248096211914729816834699112037<81>
factorization results 素因数分解の結果
Number: 49997_120
N=45871559633027522935779816513761467889908256880733944954128440366972477064220183486238532110091743119266055045871559633
  ( 119 digits)
SNFS difficulty: 120 digits.
Divisors found:
 r1=71651015110439976712949381761124614909 (pp38)
 r2=640208091432102618875345096934692490876535014728092248096211914729816834699112037 (pp81)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.93 hours.
Scaled time: 1.99 units (timescale=2.125).
Factorization parameters were as follows:
n: 45871559633027522935779816513761467889908256880733944954128440366972477064220183486238532110091743119266055045871559633
m: 1000000000000000000000000
c5: 5
c0: -3
skew: 0.9
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, 450001)
Primes: RFBsize:49098, AFBsize:48956, largePrimes:2046876 encountered
Relations: rels:2149382, finalFF:235375
Max relations in full relation-set: 28
Initial matrix: 98119 x 235375 with sparse part having weight 21516547.
Pruned matrix : 73294 x 73848 with weight 4654054.
Total sieving time: 0.88 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,120,5,0,0,0,0,0,0,0,0,600000,600000,25,25,46,46,2.4,2.4,30000
total time: 0.93 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407679)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405118)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

5×10122-3

c95

name 名前Kenichiro Yamaguchi
date 日付July 5, 2007 21:58:45 UTC 2007 年 7 月 6 日 (金) 6 時 58 分 45 秒 (日本時間)
composite number 合成数
29196298449457225683898977265132542300678896172777155830274719264937835884224090396632887718007<95>
prime factors 素因数
6303845095126307972819884509608992783019357<43>
4631506328102789383103305306718062753677381160084451<52>
factorization results 素因数分解の結果
C95=P43*P52
P43=6303845095126307972819884509608992783019357
P52=4631506328102789383103305306718062753677381160084451

Thu Jul 05 23:38:40 2007  
Thu Jul 05 23:38:40 2007  
Thu Jul 05 23:38:40 2007  Msieve v. 1.25
Thu Jul 05 23:38:40 2007  random seeds: c91b51d8 af500c75
Thu Jul 05 23:38:40 2007  factoring 29196298449457225683898977265132542300678896172777155830274719264937835884224090396632887718007 (95 digits)
Thu Jul 05 23:38:41 2007  commencing quadratic sieve (95-digit input)
Thu Jul 05 23:38:41 2007  using multiplier of 7
Thu Jul 05 23:38:41 2007  using 32kb Pentium M sieve core
Thu Jul 05 23:38:41 2007  sieve interval: 36 blocks of size 32768
Thu Jul 05 23:38:41 2007  processing polynomials in batches of 6
Thu Jul 05 23:38:41 2007  using a sieve bound of 2115527 (78824 primes)
Thu Jul 05 23:38:41 2007  using large prime bound of 308866942 (28 bits)
Thu Jul 05 23:38:41 2007  using double large prime bound of 1912443258076426 (43-51 bits)
Thu Jul 05 23:38:41 2007  using trial factoring cutoff of 51 bits
Thu Jul 05 23:38:41 2007  polynomial 'A' values have 12 factors
Fri Jul 06 04:10:53 2007  79253 relations (19388 full + 59865 combined from 1166604 partial), need 78920
Fri Jul 06 04:10:55 2007  begin with 1185992 relations
Fri Jul 06 04:10:56 2007  reduce to 206355 relations in 10 passes
Fri Jul 06 04:10:56 2007  attempting to read 206355 relations
Fri Jul 06 04:11:00 2007  recovered 206355 relations
Fri Jul 06 04:11:00 2007  recovered 189200 polynomials
Fri Jul 06 04:11:00 2007  attempting to build 79253 cycles
Fri Jul 06 04:11:00 2007  found 79252 cycles in 5 passes
Fri Jul 06 04:11:00 2007  distribution of cycle lengths:
Fri Jul 06 04:11:00 2007     length 1 : 19388
Fri Jul 06 04:11:00 2007     length 2 : 13782
Fri Jul 06 04:11:00 2007     length 3 : 13535
Fri Jul 06 04:11:00 2007     length 4 : 10814
Fri Jul 06 04:11:00 2007     length 5 : 8041
Fri Jul 06 04:11:00 2007     length 6 : 5414
Fri Jul 06 04:11:00 2007     length 7 : 3423
Fri Jul 06 04:11:00 2007     length 9+: 4855
Fri Jul 06 04:11:00 2007  largest cycle: 23 relations
Fri Jul 06 04:11:01 2007  matrix is 78824 x 79252 with weight 5331274 (avg 67.27/col)
Fri Jul 06 04:11:02 2007  filtering completed in 4 passes
Fri Jul 06 04:11:02 2007  matrix is 75026 x 75090 with weight 5058349 (avg 67.36/col)
Fri Jul 06 04:11:02 2007  saving the first 48 matrix rows for later
Fri Jul 06 04:11:02 2007  matrix is 74978 x 75090 with weight 4132765 (avg 55.04/col)
Fri Jul 06 04:11:02 2007  matrix includes 64 packed rows
Fri Jul 06 04:11:02 2007  using block size 30036 for processor cache size 2048 kB
Fri Jul 06 04:11:02 2007  commencing Lanczos iteration
Fri Jul 06 04:11:51 2007  lanczos halted after 1187 iterations
Fri Jul 06 04:11:51 2007  recovered 17 nontrivial dependencies
Fri Jul 06 04:11:52 2007  prp43 factor: 6303845095126307972819884509608992783019357
Fri Jul 06 04:11:52 2007  prp52 factor: 4631506328102789383103305306718062753677381160084451
Fri Jul 06 04:11:52 2007  elapsed time 04:33:12
software ソフトウェア
Msieve v. 1.25
execution environment 実行環境
Pentium M 760 (2GHz), Windows XP

5×10123-3

c124

name 名前Jo Yeong Uk
date 日付July 5, 2007 13:46:17 UTC 2007 年 7 月 5 日 (木) 22 時 46 分 17 秒 (日本時間)
composite number 合成数
4999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997<124>
prime factors 素因数
41339256942088911622012358254358042113678371404430757997789<59>
120950408155723983526356287938613353278226690610618708055828192673<66>
factorization results 素因数分解の結果
Number: 49997_123
N=4999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997
  ( 124 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=41339256942088911622012358254358042113678371404430757997789 (pp59)
 r2=120950408155723983526356287938613353278226690610618708055828192673 (pp66)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 1.04 hours.
Scaled time: 2.23 units (timescale=2.145).
Factorization parameters were as follows:
n: 4999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997
m: 10000000000000000000000000
c5: 1
c0: -60
skew: 2.27
type: snfs
Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [300000, 480001)
Primes: RFBsize:49098, AFBsize:48986, largePrimes:1922284 encountered
Relations: rels:1871231, finalFF:110151
Max relations in full relation-set: 28
Initial matrix: 98148 x 110151 with sparse part having weight 9092255.
Pruned matrix : 94832 x 95386 with weight 6810840.
Total sieving time: 0.97 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,125,5,0,0,0,0,0,0,0,0,600000,600000,25,25,46,46,2.4,2.4,30000
total time: 1.04 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407679)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405118)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

5×10128-3

c117

name 名前Jo Yeong Uk
date 日付July 5, 2007 23:15:43 UTC 2007 年 7 月 6 日 (金) 8 時 15 分 43 秒 (日本時間)
composite number 合成数
268500632988843114399137334497132172339031733517253072560760156230954193300391203370973608509515917709832913483907599<117>
prime factors 素因数
9755302500995483441296854824102920959702641390257253<52>
27523557876492693925945733984595465953928510734994989947908285283<65>
factorization results 素因数分解の結果
Number: 49997_128
N=268500632988843114399137334497132172339031733517253072560760156230954193300391203370973608509515917709832913483907599
  ( 117 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=9755302500995483441296854824102920959702641390257253 (pp52)
 r2=27523557876492693925945733984595465953928510734994989947908285283 (pp65)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 1.77 hours.
Scaled time: 3.76 units (timescale=2.128).
Factorization parameters were as follows:
n: 268500632988843114399137334497132172339031733517253072560760156230954193300391203370973608509515917709832913483907599
m: 100000000000000000000000000
c5: 1
c0: -60
skew: 2.27
type: snfs
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [500000, 850001)
Primes: RFBsize:78498, AFBsize:78351, largePrimes:1470489 encountered
Relations: rels:1481355, finalFF:188290
Max relations in full relation-set: 28
Initial matrix: 156913 x 188290 with sparse part having weight 8758854.
Pruned matrix : 139088 x 139936 with weight 5115713.
Total sieving time: 1.69 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,130,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,44,44,2.2,2.2,50000
total time: 1.77 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407679)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405118)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

5×10137-3

c122

name 名前Jo Yeong Uk
date 日付July 6, 2007 03:36:12 UTC 2007 年 7 月 6 日 (金) 12 時 36 分 12 秒 (日本時間)
composite number 合成数
36004121990432414722179291080937945766418689524785810698872912601379557840153318452414515762972516047917479488800024533539<122>
prime factors 素因数
5891496177752933541219267704741<31>
7812216930943689316265896059629904893<37>
782262172768407880210825956642975867414150295248290803<54>
factorization results 素因数分解の結果
Number: 49997_137
N=36004121990432414722179291080937945766418689524785810698872912601379557840153318452414515762972516047917479488800024533539
  ( 122 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=5891496177752933541219267704741 (pp31)
 r2=7812216930943689316265896059629904893 (pp37)
 r3=782262172768407880210825956642975867414150295248290803 (pp54)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 4.00 hours.
Scaled time: 8.58 units (timescale=2.145).
Factorization parameters were as follows:
n: 36004121990432414722179291080937945766418689524785810698872912601379557840153318452414515762972516047917479488800024533539
m: 5000000000000000000000000000
c5: 4
c0: -75
skew: 1.8
type: snfs
Factor base limits: 1400000/1400000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [700000, 1450001)
Primes: RFBsize:107126, AFBsize:106673, largePrimes:1867994 encountered
Relations: rels:1987379, finalFF:283262
Max relations in full relation-set: 28
Initial matrix: 213863 x 283262 with sparse part having weight 17166479.
Pruned matrix : 184846 x 185979 with weight 9061365.
Total sieving time: 3.84 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,139,5,0,0,0,0,0,0,0,0,1400000,1400000,25,25,45,45,2.3,2.3,50000
total time: 4.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407679)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405118)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

5×10142-3

c95

name 名前Jo Yeong Uk
date 日付July 6, 2007 02:37:23 UTC 2007 年 7 月 6 日 (金) 11 時 37 分 23 秒 (日本時間)
composite number 合成数
20957767550316699204490665365600675841056124504326905194322448749729894011632283651292705084079<95>
prime factors 素因数
8731327716744500293395495818364077<34>
2400295605687202500809285138795364428820556768937793554302027<61>
factorization results 素因数分解の結果
Fri Jul  6 08:21:10 2007  
Fri Jul  6 08:21:10 2007  
Fri Jul  6 08:21:10 2007  Msieve v. 1.21
Fri Jul  6 08:21:10 2007  random seeds: 58e36f1b b3909a7e
Fri Jul  6 08:21:10 2007  factoring 20957767550316699204490665365600675841056124504326905194322448749729894011632283651292705084079 (95 digits)
Fri Jul  6 08:21:10 2007  commencing quadratic sieve (95-digit input)
Fri Jul  6 08:21:10 2007  using multiplier of 39
Fri Jul  6 08:21:10 2007  using 32kb Intel Core sieve core
Fri Jul  6 08:21:10 2007  sieve interval: 36 blocks of size 32768
Fri Jul  6 08:21:10 2007  processing polynomials in batches of 6
Fri Jul  6 08:21:10 2007  using a sieve bound of 2128177 (78814 primes)
Fri Jul  6 08:21:10 2007  using large prime bound of 310713842 (28 bits)
Fri Jul  6 08:21:10 2007  using double large prime bound of 1933076650188010 (43-51 bits)
Fri Jul  6 08:21:10 2007  using trial factoring cutoff of 51 bits
Fri Jul  6 08:21:10 2007  polynomial 'A' values have 12 factors
Fri Jul  6 10:59:50 2007  78971 relations (19724 full + 59247 combined from 1157803 partial), need 78910
Fri Jul  6 10:59:51 2007  begin with 1177527 relations
Fri Jul  6 10:59:51 2007  reduce to 203965 relations in 11 passes
Fri Jul  6 10:59:51 2007  attempting to read 203965 relations
Fri Jul  6 10:59:53 2007  recovered 203965 relations
Fri Jul  6 10:59:53 2007  recovered 187676 polynomials
Fri Jul  6 10:59:53 2007  attempting to build 78971 cycles
Fri Jul  6 10:59:53 2007  found 78971 cycles in 6 passes
Fri Jul  6 10:59:53 2007  distribution of cycle lengths:
Fri Jul  6 10:59:53 2007     length 1 : 19724
Fri Jul  6 10:59:53 2007     length 2 : 13855
Fri Jul  6 10:59:53 2007     length 3 : 13538
Fri Jul  6 10:59:53 2007     length 4 : 10684
Fri Jul  6 10:59:53 2007     length 5 : 7791
Fri Jul  6 10:59:53 2007     length 6 : 5465
Fri Jul  6 10:59:53 2007     length 7 : 3347
Fri Jul  6 10:59:53 2007     length 9+: 4567
Fri Jul  6 10:59:53 2007  largest cycle: 21 relations
Fri Jul  6 10:59:54 2007  matrix is 78814 x 78971 with weight 5395208 (avg 68.32/col)
Fri Jul  6 10:59:54 2007  filtering completed in 3 passes
Fri Jul  6 10:59:54 2007  matrix is 77248 x 77312 with weight 5215318 (avg 67.46/col)
Fri Jul  6 10:59:55 2007  saving the first 48 matrix rows for later
Fri Jul  6 10:59:55 2007  matrix is 77200 x 77312 with weight 4324622 (avg 55.94/col)
Fri Jul  6 10:59:55 2007  matrix includes 32 packed rows
Fri Jul  6 10:59:55 2007  using block size 30924 for processor cache size 4096 kB
Fri Jul  6 11:00:30 2007  lanczos halted after 1222 iterations
Fri Jul  6 11:00:30 2007  recovered 18 nontrivial dependencies
Fri Jul  6 11:00:31 2007  prp34 factor: 8731327716744500293395495818364077
Fri Jul  6 11:00:31 2007  prp61 factor: 2400295605687202500809285138795364428820556768937793554302027
Fri Jul  6 11:00:31 2007  elapsed time 02:39:21
execution environment 実行環境
Core 2 Quad Q6600

5×10143-3

c142

name 名前Jo Yeong Uk
date 日付July 6, 2007 12:44:56 UTC 2007 年 7 月 6 日 (金) 21 時 44 分 56 秒 (日本時間)
composite number 合成数
1222493887530562347188264058679706601466992665036674816625916870415647921760391198044009779951100244498777506112469437652811735941320293398533<142>
prime factors 素因数
2935742145013115478236491256387688161775892870102820487172343<61>
416417323846778387561709274459675711946255835461780664134795831916578834221071331<81>
factorization results 素因数分解の結果
Number: 49997_143
N=1222493887530562347188264058679706601466992665036674816625916870415647921760391198044009779951100244498777506112469437652811735941320293398533
  ( 142 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=2935742145013115478236491256387688161775892870102820487172343 (pp61)
 r2=416417323846778387561709274459675711946255835461780664134795831916578834221071331 (pp81)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 8.13 hours.
Scaled time: 17.41 units (timescale=2.143).
Factorization parameters were as follows:
n: 1222493887530562347188264058679706601466992665036674816625916870415647921760391198044009779951100244498777506112469437652811735941320293398533
m: 100000000000000000000000000000
c5: 1
c0: -60
skew: 2.27
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [750000, 1300001)
Primes: RFBsize:114155, AFBsize:113882, largePrimes:2653193 encountered
Relations: rels:2644766, finalFF:300265
Max relations in full relation-set: 28
Initial matrix: 228101 x 300265 with sparse part having weight 19434761.
Pruned matrix : 195584 x 196788 with weight 10280185.
Total sieving time: 7.95 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,145,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,50000
total time: 8.13 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407679)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405118)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

5×10146-3

c115

name 名前Sinkiti Sibata
date 日付July 9, 2007 22:07:45 UTC 2007 年 7 月 10 日 (火) 7 時 7 分 45 秒 (日本時間)
composite number 合成数
4005734304798850622326249951143037423616711644650164979183042659808685924415865726837714445893729270428277958269419<115>
prime factors 素因数
128452413621408811962701715902967521602390963<45>
31184577944989473183131805515755584538817242291977209687873566291246313<71>
factorization results 素因数分解の結果
Number: 49997_146
N=4005734304798850622326249951143037423616711644650164979183042659808685924415865726837714445893729270428277958269419
  ( 115 digits)
Divisors found:
 r1=128452413621408811962701715902967521602390963 (pp45)
 r2=31184577944989473183131805515755584538817242291977209687873566291246313 (pp71)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 62.55 hours.
Scaled time: 41.60 units (timescale=0.665).
Factorization parameters were as follows:
name: 49997_146
n: 4005734304798850622326249951143037423616711644650164979183042659808685924415865726837714445893729270428277958269419
skew: 36021.67
# norm 2.21e+16
c5: 39600
c4: -5544913316
c3: 808385282931308
c2: 4256940067114749501
c1: -289150373904486983283538
c0: -1001954365526770591150788255
# alpha -6.85
Y1: 195581790739
Y0: -10022997639641682506218
# Murphy_E 5.45e-10
# M 830918682632186915924213558878628963560867949599055263643356419771358536458349787830192216066526682747955092642640
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, 2950001)
Primes: RFBsize:250150, AFBsize:250336, largePrimes:7615163 encountered
Relations: rels:7554461, finalFF:563033
Max relations in full relation-set: 0
Initial matrix: 500568 x 563033 with sparse part having weight 41679643.
Pruned matrix : 450560 x 453126 with weight 30186049.
Polynomial selection time: 2.62 hours.
Total sieving time: 50.83 hours.
Total relation processing time: 0.45 hours.
Matrix solve time: 8.26 hours.
Time per square root: 0.40 hours.
Prototype def-par.txt line would be:
gnfs,114,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 62.55 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

5×10147-3

c116

name 名前Jo Yeong Uk
date 日付July 7, 2007 01:13:03 UTC 2007 年 7 月 7 日 (土) 10 時 13 分 3 秒 (日本時間)
composite number 合成数
16020329569660849975695435240487629364228641450318647485024030704932582906631343798326668419485613524001679514196469<116>
prime factors 素因数
10067361505415681618873296936552921933923299611<47>
1591313628803614731260135467601813388393486021881617569796951585055279<70>
factorization results 素因数分解の結果
Number: 49997_147
N=16020329569660849975695435240487629364228641450318647485024030704932582906631343798326668419485613524001679514196469
  ( 116 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=10067361505415681618873296936552921933923299611 (pp47)
 r2=1591313628803614731260135467601813388393486021881617569796951585055279 (pp70)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 9.23 hours.
Scaled time: 19.79 units (timescale=2.144).
Factorization parameters were as follows:
n: 16020329569660849975695435240487629364228641450318647485024030704932582906631343798326668419485613524001679514196469
m: 500000000000000000000000000000
c5: 4
c0: -75
skew: 1.8
type: snfs
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1500001)
Primes: RFBsize:135072, AFBsize:134758, largePrimes:3616122 encountered
Relations: rels:3602120, finalFF:311536
Max relations in full relation-set: 28
Initial matrix: 269894 x 311536 with sparse part having weight 26078125.
Pruned matrix : 251458 x 252871 with weight 18101350.
Total sieving time: 8.87 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.28 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,149,5,0,0,0,0,0,0,0,0,1800000,1800000,26,26,48,48,2.3,2.3,75000
total time: 9.23 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407679)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405118)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

5×10148-3

c134

name 名前Jo Yeong Uk
date 日付July 7, 2007 14:30:28 UTC 2007 年 7 月 7 日 (土) 23 時 30 分 28 秒 (日本時間)
composite number 合成数
67035712232671026578085702644158591186552652917191706966233004080754358180856116346537407110225442792919527957856093621681551793501359<134>
prime factors 素因数
856199339682423221681610853181988817318913<42>
1556144666064391456467500163826224366444427919<46>
50313134072976025481264005755700033644273942497<47>
factorization results 素因数分解の結果
Number: 49997_148
N=67035712232671026578085702644158591186552652917191706966233004080754358180856116346537407110225442792919527957856093621681551793501359
  ( 134 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=856199339682423221681610853181988817318913 (pp42)
 r2=1556144666064391456467500163826224366444427919 (pp46)
 r3=50313134072976025481264005755700033644273942497 (pp47)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 10.81 hours.
Scaled time: 22.89 units (timescale=2.117).
Factorization parameters were as follows:
n: 67035712232671026578085702644158591186552652917191706966233004080754358180856116346537407110225442792919527957856093621681551793501359
m: 1000000000000000000000000000000
c5: 1
c0: -60
skew: 2.27
type: snfs
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1575001)
Primes: RFBsize:135072, AFBsize:134688, largePrimes:3788068 encountered
Relations: rels:3897704, finalFF:405595
Max relations in full relation-set: 28
Initial matrix: 269824 x 405595 with sparse part having weight 37011153.
Pruned matrix : 222190 x 223603 with weight 17763617.
Total sieving time: 10.40 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.33 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,1800000,1800000,26,26,48,48,2.3,2.3,75000
total time: 10.81 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407679)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405118)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

5×10149-3

c139

name 名前Robert Backstrom
date 日付July 9, 2007 13:53:43 UTC 2007 年 7 月 9 日 (月) 22 時 53 分 43 秒 (日本時間)
composite number 合成数
2469012668515542318460277664481179790737291307383604284844296502512716634601796579368377536357106844920154402705397083070678261616432704111<139>
prime factors 素因数
208747880384388120276325252490914165886057736101<48>
11827725694599174236257190431349303144204489375682681972938043512380134113838243183754907011<92>
factorization results 素因数分解の結果
Number: n
N=2469012668515542318460277664481179790737291307383604284844296502512716634601796579368377536357106844920154402705397083070678261616432704111
  ( 139 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=208747880384388120276325252490914165886057736101 (pp48)
 r2=11827725694599174236257190431349303144204489375682681972938043512380134113838243183754907011 (pp92)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 12.93 hours.
Scaled time: 18.71 units (timescale=1.447).
Factorization parameters were as follows:
name: KA_4_9_148_7
n: 2469012668515542318460277664481179790737291307383604284844296502512716634601796579368377536357106844920154402705397083070678261616432704111
skew: 1.43
deg: 5
c5: 1
c0: -6
m: 1000000000000000000000000000000
type: snfs
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 600001)
Primes: RFBsize:250150, AFBsize:250351, largePrimes:5947139 encountered
Relations: rels:5574191, finalFF:579093
Max relations in full relation-set: 28
Initial matrix: 500565 x 579093 with sparse part having weight 22226434.
Pruned matrix : 404909 x 407475 with weight 11698567.
Total sieving time: 10.91 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 1.85 hours.
Total square root time: 0.04 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 12.93 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

5×10150-3

c126

name 名前Robert Backstrom
date 日付July 9, 2007 22:54:20 UTC 2007 年 7 月 10 日 (火) 7 時 54 分 20 秒 (日本時間)
composite number 合成数
848877756915836047327005956367688030754050414861578135676328925892022810228355445983559089497621983270454716296031158175180369<126>
prime factors 素因数
9067846705098386264105687808083859986016022518939144596253611<61>
93614039200569581281008047873083290213666429881740082969167944179<65>
factorization results 素因数分解の結果
Number: n
N=848877756915836047327005956367688030754050414861578135676328925892022810228355445983559089497621983270454716296031158175180369
  ( 126 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=9067846705098386264105687808083859986016022518939144596253611 (pp61)
 r2=93614039200569581281008047873083290213666429881740082969167944179 (pp65)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 15.95 hours.
Scaled time: 21.05 units (timescale=1.320).
Factorization parameters were as follows:
name: KA_4_9_149_7
n: 848877756915836047327005956367688030754050414861578135676328925892022810228355445983559089497621983270454716296031158175180369
skew: 0.90
deg: 5
c5: 5
c0: -3
m: 1000000000000000000000000000000
type: snfs
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 700001)
Primes: RFBsize:250150, AFBsize:249871, largePrimes:6181244 encountered
Relations: rels:5785296, finalFF:582205
Max relations in full relation-set: 48
Initial matrix: 500086 x 582205 with sparse part having weight 24719108.
Pruned matrix : 412540 x 415104 with weight 13084779.
Total sieving time: 13.54 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 2.16 hours.
Total square root time: 0.10 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 15.95 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

5×10154-3

c94

name 名前Jo Yeong Uk
date 日付July 5, 2007 23:17:46 UTC 2007 年 7 月 6 日 (金) 8 時 17 分 46 秒 (日本時間)
composite number 合成数
3847666939279894172268033897682969407262717898287172366419424639735420453122353902836783011361<94>
prime factors 素因数
2921647769384774308532275896959632201186400323<46>
1316950995804027485247023644858332723329794421707<49>
factorization results 素因数分解の結果
Fri Jul  6 00:56:55 2007  
Fri Jul  6 00:56:55 2007  
Fri Jul  6 00:56:55 2007  Msieve v. 1.21
Fri Jul  6 00:56:55 2007  random seeds: d977a1fa f013ce09
Fri Jul  6 00:56:55 2007  factoring 3847666939279894172268033897682969407262717898287172366419424639735420453122353902836783011361 (94 digits)
Fri Jul  6 00:56:55 2007  commencing quadratic sieve (94-digit input)
Fri Jul  6 00:56:55 2007  using multiplier of 1
Fri Jul  6 00:56:55 2007  using 32kb Intel Core sieve core
Fri Jul  6 00:56:55 2007  sieve interval: 36 blocks of size 32768
Fri Jul  6 00:56:55 2007  processing polynomials in batches of 6
Fri Jul  6 00:56:55 2007  using a sieve bound of 2025281 (75006 primes)
Fri Jul  6 00:56:55 2007  using large prime bound of 271387654 (28 bits)
Fri Jul  6 00:56:55 2007  using double large prime bound of 1515172741378278 (42-51 bits)
Fri Jul  6 00:56:55 2007  using trial factoring cutoff of 51 bits
Fri Jul  6 00:56:55 2007  polynomial 'A' values have 12 factors
Fri Jul  6 03:02:27 2007  75317 relations (18669 full + 56648 combined from 1068446 partial), need 75102
Fri Jul  6 03:02:28 2007  begin with 1087115 relations
Fri Jul  6 03:02:28 2007  reduce to 195099 relations in 11 passes
Fri Jul  6 03:02:28 2007  attempting to read 195099 relations
Fri Jul  6 03:02:30 2007  recovered 195099 relations
Fri Jul  6 03:02:30 2007  recovered 176930 polynomials
Fri Jul  6 03:02:30 2007  attempting to build 75317 cycles
Fri Jul  6 03:02:30 2007  found 75316 cycles in 5 passes
Fri Jul  6 03:02:30 2007  distribution of cycle lengths:
Fri Jul  6 03:02:30 2007     length 1 : 18669
Fri Jul  6 03:02:30 2007     length 2 : 13325
Fri Jul  6 03:02:30 2007     length 3 : 12721
Fri Jul  6 03:02:30 2007     length 4 : 10305
Fri Jul  6 03:02:30 2007     length 5 : 7536
Fri Jul  6 03:02:30 2007     length 6 : 4964
Fri Jul  6 03:02:30 2007     length 7 : 3344
Fri Jul  6 03:02:30 2007     length 9+: 4452
Fri Jul  6 03:02:30 2007  largest cycle: 19 relations
Fri Jul  6 03:02:30 2007  matrix is 75006 x 75316 with weight 4694209 (avg 62.33/col)
Fri Jul  6 03:02:30 2007  filtering completed in 3 passes
Fri Jul  6 03:02:30 2007  matrix is 73619 x 73683 with weight 4526930 (avg 61.44/col)
Fri Jul  6 03:02:32 2007  saving the first 48 matrix rows for later
Fri Jul  6 03:02:32 2007  matrix is 73571 x 73683 with weight 3487432 (avg 47.33/col)
Fri Jul  6 03:02:32 2007  matrix includes 32 packed rows
Fri Jul  6 03:02:32 2007  using block size 29473 for processor cache size 4096 kB
Fri Jul  6 03:02:58 2007  lanczos halted after 1165 iterations
Fri Jul  6 03:02:58 2007  recovered 15 nontrivial dependencies
Fri Jul  6 03:02:59 2007  prp46 factor: 2921647769384774308532275896959632201186400323
Fri Jul  6 03:02:59 2007  prp49 factor: 1316950995804027485247023644858332723329794421707
Fri Jul  6 03:02:59 2007  elapsed time 02:06:04
execution environment 実行環境
Core 2 Quad Q6600

5×10156-3

c148

name 名前Robert Backstrom
date 日付July 10, 2007 18:42:31 UTC 2007 年 7 月 11 日 (水) 3 時 42 分 31 秒 (日本時間)
composite number 合成数
1234356597976538139280142028842356943894606126781952641732207333922863854916604980909466777183418645194248264906713195221843429918982863975157749903<148>
prime factors 素因数
88666131158617287229707084514778242205719232955907723<53>
13921399093960280961780774878816447259601802769512930326480215435970153126193617396031190315661<95>
factorization results 素因数分解の結果
Number: n
N=1234356597976538139280142028842356943894606126781952641732207333922863854916604980909466777183418645194248264906713195221843429918982863975157749903
  ( 148 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=88666131158617287229707084514778242205719232955907723 (pp53)
 r2=13921399093960280961780774878816447259601802769512930326480215435970153126193617396031190315661 (pp95)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 33.75 hours.
Scaled time: 40.30 units (timescale=1.194).
Factorization parameters were as follows:
name: KA_4_9_155_7
n: 1234356597976538139280142028842356943894606126781952641732207333922863854916604980909466777183418645194248264906713195221843429918982863975157749903
type: snfs
skew: 0.57
deg: 5
c5: 50
c0: -3
m: 10000000000000000000000000000000
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1400001)
Primes: RFBsize:250150, AFBsize:250256, largePrimes:6432804 encountered
Relations: rels:5951628, finalFF:565359
Max relations in full relation-set: 28
Initial matrix: 500471 x 565359 with sparse part having weight 25798180.
Pruned matrix : 434020 x 436586 with weight 15831361.
Total sieving time: 30.40 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 3.06 hours.
Total square root time: 0.08 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.3,2.3,100000
total time: 33.75 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

5×10157-3

c158

name 名前Jo Yeong Uk
date 日付July 6, 2007 06:51:21 UTC 2007 年 7 月 6 日 (金) 15 時 51 分 21 秒 (日本時間)
composite number 合成数
49999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997<158>
prime factors 素因数
170751714607368696896080865604341002901<39>
composite cofactor 合成数の残り
292822828250781602016000167325285828040891795200764250827620597365088252659542353359323090342351116997142479928464778697<120>
factorization results 素因数分解の結果
GMP-ECM 6.1.2 [powered by GMP 4.2.1] [ECM]
Input number is 49999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997 (158 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3485350061
Step 1 took 73665ms
Step 2 took 42492ms
********** Factor found in step 2: 170751714607368696896080865604341002901
Found probable prime factor of 39 digits: 170751714607368696896080865604341002901
Composite cofactor 292822828250781602016000167325285828040891795200764250827620597365088252659542353359323090342351116997142479928464778697 has 120 digits
execution environment 実行環境
Pentium 4 2.4GHz

c120

name 名前Jo Yeong Uk
date 日付July 19, 2007 04:38:45 UTC 2007 年 7 月 19 日 (木) 13 時 38 分 45 秒 (日本時間)
composite number 合成数
292822828250781602016000167325285828040891795200764250827620597365088252659542353359323090342351116997142479928464778697<120>
prime factors 素因数
35723845046279761616907730154034566105895929934169<50>
8196845212810478814820742135146474925279643255860336587608186692950513<70>
factorization results 素因数分解の結果
Number: 49997_157
N=292822828250781602016000167325285828040891795200764250827620597365088252659542353359323090342351116997142479928464778697
  ( 120 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=35723845046279761616907730154034566105895929934169 (pp50)
 r2=8196845212810478814820742135146474925279643255860336587608186692950513 (pp70)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 24.71 hours.
Scaled time: 53.00 units (timescale=2.145).
Factorization parameters were as follows:
n: 292822828250781602016000167325285828040891795200764250827620597365088252659542353359323090342351116997142479928464778697
m: 50000000000000000000000000000000
c5: 4
c0: -75
skew: 1.8
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 3400001)
Primes: RFBsize:283146, AFBsize:282917, largePrimes:5641286 encountered
Relations: rels:5700798, finalFF:682263
Max relations in full relation-set: 28
Initial matrix: 566127 x 682263 with sparse part having weight 40514085.
Pruned matrix : 469219 x 472113 with weight 25366768.
Total sieving time: 23.34 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 1.24 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,159,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 24.71 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Total of 4 processors activated (19246.12 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

5×10158-3

c116

name 名前Sinkiti Sibata
date 日付July 13, 2007 07:21:05 UTC 2007 年 7 月 13 日 (金) 16 時 21 分 5 秒 (日本時間)
composite number 合成数
73564181024991174831410187304979775278602449566930735136444638612241727301463214510006040339766493271745851676818291<116>
prime factors 素因数
467341027637686776935113873903056598872599949645184321<54>
157410063903105298144279249626151629802510455702264743972251571<63>
factorization results 素因数分解の結果
Number: 49997_158
N=73564181024991174831410187304979775278602449566930735136444638612241727301463214510006040339766493271745851676818291
  ( 116 digits)
Divisors found:
 r1=467341027637686776935113873903056598872599949645184321 (pp54)
 r2=157410063903105298144279249626151629802510455702264743972251571 (pp63)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 75.59 hours.
Scaled time: 51.55 units (timescale=0.682).
Factorization parameters were as follows:
name: 49997_158
n: 73564181024991174831410187304979775278602449566930735136444638612241727301463214510006040339766493271745851676818291
skew: 42822.68
# norm 5.10e+15
c5: 37680
c4: 38633798
c3: -353231884823776
c2: 649944449545850313
c1: 316689536566344976014916
c0: 2229243313064835235066218784
# alpha -5.41
Y1: 756740286929
Y0: -18118035169349655294225
# Murphy_E 4.48e-10
# M 18062748841787132536527980613922191917491498627232287844155502604722767071327377360711903467081749263690925827819192
type: gnfs
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 60000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [2250000, 3690001)
Primes: RFBsize:315948, AFBsize:316005, largePrimes:7444584 encountered
Relations: rels:7386540, finalFF:708105
Max relations in full relation-set: 0
Initial matrix: 632036 x 708105 with sparse part having weight 58435719.
Pruned matrix : 566947 x 570171 with weight 38719113.
Total sieving time: 58.58 hours.
Total relation processing time: 0.57 hours.
Matrix solve time: 15.99 hours.
Time per square root: 0.46 hours.
Prototype def-par.txt line would be:
gnfs,115,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.4,2.4,60000
total time: 75.59 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

5×10159-3

c123

name 名前Jo Yeong Uk
date 日付July 11, 2007 14:07:14 UTC 2007 年 7 月 11 日 (水) 23 時 7 分 14 秒 (日本時間)
composite number 合成数
936641013725208281347730825468620293366742204395066149504537532279545548715615033437911104845143229769057892072685826306399<123>
prime factors 素因数
3603669365157562557541028774720347<34>
composite cofactor 合成数の残り
259913138197753528521831503031382370167660110953871390680307688669870475962297396553821517<90>
factorization results 素因数分解の結果
GMP-ECM 6.1.2 [powered by GMP 4.2.1] [ECM]
Input number is 936641013725208281347730825468620293366742204395066149504537532279545548715615033437911104845143229769057892072685826306399 (123 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1850681587
Step 1 took 6704ms
Step 2 took 3836ms
********** Factor found in step 2: 3603669365157562557541028774720347
Found probable prime factor of 34 digits: 3603669365157562557541028774720347
Composite cofactor 259913138197753528521831503031382370167660110953871390680307688669870475962297396553821517 has 90 digits
execution environment 実行環境
Core 2 Quad Q6600

c90

name 名前Jo Yeong Uk
date 日付July 12, 2007 00:36:19 UTC 2007 年 7 月 12 日 (木) 9 時 36 分 19 秒 (日本時間)
composite number 合成数
259913138197753528521831503031382370167660110953871390680307688669870475962297396553821517<90>
prime factors 素因数
191027376246576260076013368620556928804243<42>
1360606753360105851237415658886311322045879676319<49>
factorization results 素因数分解の結果
Thu Jul 12 08:25:38 2007  
Thu Jul 12 08:25:38 2007  
Thu Jul 12 08:25:38 2007  Msieve v. 1.21
Thu Jul 12 08:25:38 2007  random seeds: 3396b730 2c6be133
Thu Jul 12 08:25:38 2007  factoring 259913138197753528521831503031382370167660110953871390680307688669870475962297396553821517 (90 digits)
Thu Jul 12 08:25:38 2007  commencing quadratic sieve (90-digit input)
Thu Jul 12 08:25:38 2007  using multiplier of 29
Thu Jul 12 08:25:38 2007  using 32kb Intel Core sieve core
Thu Jul 12 08:25:38 2007  sieve interval: 36 blocks of size 32768
Thu Jul 12 08:25:38 2007  processing polynomials in batches of 6
Thu Jul 12 08:25:38 2007  using a sieve bound of 1584931 (59872 primes)
Thu Jul 12 08:25:38 2007  using large prime bound of 126794480 (26 bits)
Thu Jul 12 08:25:38 2007  using double large prime bound of 385106280791040 (42-49 bits)
Thu Jul 12 08:25:38 2007  using trial factoring cutoff of 49 bits
Thu Jul 12 08:25:38 2007  polynomial 'A' values have 12 factors
Thu Jul 12 09:21:20 2007  60317 relations (16443 full + 43874 combined from 635017 partial), need 59968
Thu Jul 12 09:21:20 2007  begin with 651460 relations
Thu Jul 12 09:21:20 2007  reduce to 145915 relations in 10 passes
Thu Jul 12 09:21:20 2007  attempting to read 145915 relations
Thu Jul 12 09:21:22 2007  recovered 145915 relations
Thu Jul 12 09:21:22 2007  recovered 124747 polynomials
Thu Jul 12 09:21:22 2007  attempting to build 60317 cycles
Thu Jul 12 09:21:22 2007  found 60317 cycles in 6 passes
Thu Jul 12 09:21:22 2007  distribution of cycle lengths:
Thu Jul 12 09:21:22 2007     length 1 : 16443
Thu Jul 12 09:21:22 2007     length 2 : 11820
Thu Jul 12 09:21:22 2007     length 3 : 10631
Thu Jul 12 09:21:22 2007     length 4 : 7828
Thu Jul 12 09:21:22 2007     length 5 : 5627
Thu Jul 12 09:21:22 2007     length 6 : 3460
Thu Jul 12 09:21:22 2007     length 7 : 2063
Thu Jul 12 09:21:22 2007     length 9+: 2445
Thu Jul 12 09:21:22 2007  largest cycle: 20 relations
Thu Jul 12 09:21:22 2007  matrix is 59872 x 60317 with weight 3587835 (avg 59.48/col)
Thu Jul 12 09:21:22 2007  filtering completed in 3 passes
Thu Jul 12 09:21:22 2007  matrix is 58252 x 58316 with weight 3393360 (avg 58.19/col)
Thu Jul 12 09:21:23 2007  saving the first 48 matrix rows for later
Thu Jul 12 09:21:23 2007  matrix is 58204 x 58316 with weight 2649013 (avg 45.43/col)
Thu Jul 12 09:21:23 2007  matrix includes 32 packed rows
Thu Jul 12 09:21:23 2007  using block size 23326 for processor cache size 4096 kB
Thu Jul 12 09:21:39 2007  lanczos halted after 922 iterations
Thu Jul 12 09:21:39 2007  recovered 17 nontrivial dependencies
Thu Jul 12 09:21:39 2007  prp42 factor: 191027376246576260076013368620556928804243
Thu Jul 12 09:21:39 2007  prp49 factor: 1360606753360105851237415658886311322045879676319
Thu Jul 12 09:21:39 2007  elapsed time 00:56:01
execution environment 実行環境
Core 2 Quad Q6600

5×10161-3

c156

name 名前Sinkiti Sibata
date 日付July 23, 2007 02:15:41 UTC 2007 年 7 月 23 日 (月) 11 時 15 分 41 秒 (日本時間)
composite number 合成数
562288649753773800272822452860531047892373454127929664437379599942871473185016581892281238789370045534134857060602346093162232645804258324402315279744226139<156>
prime factors 素因数
84102469602460672319344905855931567246447997<44>
2165440703043832390582601658352828177598414559503<49>
3087480849537780573910857739142506288073610114206777292982835929<64>
factorization results 素因数分解の結果
Number: 49997_161
N=562288649753773800272822452860531047892373454127929664437379599942871473185016581892281238789370045534134857060602346093162232645804258324402315279744226139
  ( 156 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=84102469602460672319344905855931567246447997 (pp44)
 r2=2165440703043832390582601658352828177598414559503 (pp49)
 r3=3087480849537780573910857739142506288073610114206777292982835929 (pp64)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 84.32 hours.
Scaled time: 57.59 units (timescale=0.683).
Factorization parameters were as follows:
name: 49997_161
n: 562288649753773800272822452860531047892373454127929664437379599942871473185016581892281238789370045534134857060602346093162232645804258324402315279744226139
m: 100000000000000000000000000000000
c5: 50
c0: -3
skew: 0.57
type: snfs
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2250000, 4250001)
Primes: RFBsize:315948, AFBsize:315546, largePrimes:5795947 encountered
Relations: rels:5955594, finalFF:716832
Max relations in full relation-set: 0
Initial matrix: 631559 x 716832 with sparse part having weight 35018298.
Pruned matrix : 561436 x 564657 with weight 26268658.
Total sieving time: 72.28 hours.
Total relation processing time: 0.33 hours.
Matrix solve time: 11.50 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,48,48,2.3,2.3,100000
total time: 84.32 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

5×10162-3

c163

name 名前Robert Backstrom
date 日付July 11, 2007 10:03:04 UTC 2007 年 7 月 11 日 (水) 19 時 3 分 4 秒 (日本時間)
composite number 合成数
4999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997<163>
prime factors 素因数
8544406184158733288717788329856875808280189100763<49>
585178172974730942884427619934926129351771486625491327311590996532550927049973737667478017100778019085012646208519<114>
factorization results 素因数分解の結果
Number: n
N=4999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997
  ( 163 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=8544406184158733288717788329856875808280189100763 (pp49)
 r2=585178172974730942884427619934926129351771486625491327311590996532550927049973737667478017100778019085012646208519 (pp114)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 43.47 hours.
Scaled time: 63.03 units (timescale=1.450).
Factorization parameters were as follows:
name: KA_4_9_161_7
n: 4999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997
skew: 0.36
deg: 5
c5: 500
c0: -3
m: 100000000000000000000000000000000
type: snfs
rlim: 4000000
alim: 4000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1900001)
Primes: RFBsize:283146, AFBsize:282917, largePrimes:7337299 encountered
Relations: rels:6908627, finalFF:639847
Max relations in full relation-set: 28
Initial matrix: 566129 x 639847 with sparse part having weight 37255811.
Pruned matrix : 497961 x 500855 with weight 23972880.
Total sieving time: 37.76 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 5.18 hours.
Total square root time: 0.30 hours, sqrts: 4.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,4000000,4000000,28,28,48,48,2.5,2.5,100000
total time: 43.47 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

5×10163-3

c148

name 名前Sinkiti Sibata
date 日付July 27, 2007 03:47:56 UTC 2007 年 7 月 27 日 (金) 12 時 47 分 56 秒 (日本時間)
composite number 合成数
7165808661890840897859714216746508466161349306048122768370338285750348690423700476081529989454370863114686016738935169566343753929497072942549488873<148>
prime factors 素因数
74998792236344109387450078891725779<35>
95545654112791421636906751022948221950213818775035727503822215288586505310116495426553720942470582028517007755987<113>
factorization results 素因数分解の結果
Number: 49997_163
N=7165808661890840897859714216746508466161349306048122768370338285750348690423700476081529989454370863114686016738935169566343753929497072942549488873
  ( 148 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=74998792236344109387450078891725779 (pp35)
 r2=95545654112791421636906751022948221950213818775035727503822215288586505310116495426553720942470582028517007755987 (pp113)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 96.02 hours.
Scaled time: 65.49 units (timescale=0.682).
Factorization parameters were as follows:
name: 49997_163
n: 7165808661890840897859714216746508466161349306048122768370338285750348690423700476081529989454370863114686016738935169566343753929497072942549488873
m: 500000000000000000000000000000000
c5: 8
c0: -15
skew: 1.13
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:315761, largePrimes:5791399 encountered
Relations: rels:5931578, finalFF:709466
Max relations in full relation-set: 0
Initial matrix: 631774 x 709466 with sparse part having weight 36626735.
Pruned matrix : 573328 x 576550 with weight 28530803.
Total sieving time: 82.87 hours.
Total relation processing time: 0.35 hours.
Matrix solve time: 12.59 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,164,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,48,48,2.3,2.3,100000
total time: 96.02 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

5×10164-3

c134

name 名前Robert Backstrom
date 日付April 13, 2008 05:44:17 UTC 2008 年 4 月 13 日 (日) 14 時 44 分 17 秒 (日本時間)
composite number 合成数
15817903797466449690025501204524752190149137263149117955395138235556021194425072941823375150554994336662924330944593886562016862892483<134>
prime factors 素因数
14415395583187368964117409453669561022245725587364267441064003881<65>
1097292384810779781467311229833121140205885608438153270649880660837643<70>
factorization results 素因数分解の結果
Number: n
N=15817903797466449690025501204524752190149137263149117955395138235556021194425072941823375150554994336662924330944593886562016862892483
  ( 134 digits)
SNFS difficulty: 165 digits.
Divisors found:

Sun Apr 13 15:27:18 2008  prp65 factor: 14415395583187368964117409453669561022245725587364267441064003881
Sun Apr 13 15:27:18 2008  prp70 factor: 1097292384810779781467311229833121140205885608438153270649880660837643
Sun Apr 13 15:27:18 2008  elapsed time 00:48:41 (Msieve 1.34)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 28.01 hours.
Scaled time: 51.37 units (timescale=1.834).
Factorization parameters were as follows:
name: KA_4_9_163_7
n: 15817903797466449690025501204524752190149137263149117955395138235556021194425072941823375150554994336662924330944593886562016862892483
skew: 1.43
deg: 5
c5: 1
c0: -6
m: 1000000000000000000000000000000000
type: snfs
rlim: 3200000
alim: 3200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2000261)
Primes: RFBsize:230209, AFBsize:230282, largePrimes:7108660 encountered
Relations: rels:6564318, finalFF:502203
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 27.86 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.5,2.5,100000
total time: 28.01 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

5×10165-3

c115

name 名前Jo Yeong Uk
date 日付July 13, 2007 14:49:10 UTC 2007 年 7 月 13 日 (金) 23 時 49 分 10 秒 (日本時間)
composite number 合成数
4566409006574951863433979568362754800728318400898293602723291780776693632787788274495993362803824147636639137685727<115>
prime factors 素因数
7543512127570632979961763022705421<34>
605342568468243602479097354297941125861779312424902349610895360925921457852332187<81>
factorization results 素因数分解の結果
Number: 49997_165
N=4566409006574951863433979568362754800728318400898293602723291780776693632787788274495993362803824147636639137685727
  ( 115 digits)
Divisors found:
 r1=7543512127570632979961763022705421 (pp34)
 r2=605342568468243602479097354297941125861779312424902349610895360925921457852332187 (pp81)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 27.02 hours.
Scaled time: 57.56 units (timescale=2.130).
Factorization parameters were as follows:
name: 49997_165
n: 4566409006574951863433979568362754800728318400898293602723291780776693632787788274495993362803824147636639137685727
skew: 37063.96
# norm 4.73e+15
c5: 62160
c4: -3621719066
c3: -306726077373988
c2: 4532051020693653061
c1: 228973543810823218638998
c0: 1468727302885487696151709760
# alpha -5.55
Y1: 1746324969367
Y0: -9401858279023299564901
# Murphy_E 5.17e-10
# M 1002986331347959461341605441671137184505700766449988056152747414018476686730995147030702035468882560833614505929064
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, 3150001)
Primes: RFBsize:256726, AFBsize:256682, largePrimes:7522227 encountered
Relations: rels:7394243, finalFF:577903
Max relations in full relation-set: 28
Initial matrix: 513492 x 577903 with sparse part having weight 50045594.
Pruned matrix : 462271 x 464902 with weight 35767881.
Polynomial selection time: 1.34 hours.
Total sieving time: 23.99 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.38 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
gnfs,114,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3600000,3600000,27,27,50,50,2.4,2.4,75000
total time: 27.02 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Total of 4 processors activated (19246.12 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

5×10168-3

c125

name 名前Robert Backstrom
date 日付February 9, 2008 21:49:43 UTC 2008 年 2 月 10 日 (日) 6 時 49 分 43 秒 (日本時間)
composite number 合成数
52295990541910023249416854094175673440815366689083319636069011377685048263649518517056258572993728314043848925989431713124697<125>
prime factors 素因数
8731823085626565428330649512690831<34>
5989126214432165607435098739078535035401301616100708973660232195133893598575906722810990487<91>
factorization results 素因数分解の結果
GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 52295990541910023249416854094175673440815366689083319636069011377685048263649518517056258572993728314043848925989431713124697 (125 digits)
Using B1=2892000, B2=3812194338, polynomial Dickson(6), sigma=1753386300
Step 1 took 23847ms
Step 2 took 11679ms
********** Factor found in step 2: 8731823085626565428330649512690831
Found probable prime factor of 34 digits: 8731823085626565428330649512690831
Probable prime cofactor 5989126214432165607435098739078535035401301616100708973660232195133893598575906722810990487 has 91 digits

5×10170-3

c127

name 名前Jo Yeong Uk
date 日付September 7, 2009 22:59:34 UTC 2009 年 9 月 8 日 (火) 7 時 59 分 34 秒 (日本時間)
composite number 合成数
3532849609827764557824712935521280431199925581138817459746251706817133265070845561065976460386265718854344947085699143667566717<127>
prime factors 素因数
1282193342543925932322422945370800329162612510700818603591681<61>
2755317386704286894836646040390450824249315418803775935856090488957<67>
factorization results 素因数分解の結果
Number: 49997_170
N=3532849609827764557824712935521280431199925581138817459746251706817133265070845561065976460386265718854344947085699143667566717
  ( 127 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=1282193342543925932322422945370800329162612510700818603591681
 r2=2755317386704286894836646040390450824249315418803775935856090488957
Version: 
Total time: 27.21 hours.
Scaled time: 65.04 units (timescale=2.390).
Factorization parameters were as follows:
n: 3532849609827764557824712935521280431199925581138817459746251706817133265070845561065976460386265718854344947085699143667566717
m: 10000000000000000000000000000000000
deg: 5
c5: 5
c0: -3
skew: 0.90
type: snfs
lss: 1
rlim: 5200000
alim: 5200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2600000, 4700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 10670849
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 881121 x 881369
Total sieving time: 24.19 hours.
Total relation processing time: 1.10 hours.
Matrix solve time: 1.75 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,5200000,5200000,27,27,52,52,2.4,2.4,100000
total time: 27.21 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673799)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672387)
Calibrating delay using timer specific routine.. 5344.57 BogoMIPS (lpj=2672286)
Calibrating delay using timer specific routine.. 5237.81 BogoMIPS (lpj=2618908)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 5, 2007 09:00:00 UTC 2007 年 7 月 5 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiMay 30, 2009 06:26:38 UTC 2009 年 5 月 30 日 (土) 15 時 26 分 38 秒 (日本時間)

5×10171-3

c115

name 名前Jo Yeong Uk
date 日付July 12, 2007 12:00:44 UTC 2007 年 7 月 12 日 (木) 21 時 0 分 44 秒 (日本時間)
composite number 合成数
2934635014325417516096701273747698164950838782296104637022869061437943116969747674977296282584317681872004767223411<115>
prime factors 素因数
241198112402284085400049735671995479639288153<45>
12166907050378837298642013658257125610939904245160777794608634185199787<71>
factorization results 素因数分解の結果
Number: 49997_171
N=2934635014325417516096701273747698164950838782296104637022869061437943116969747674977296282584317681872004767223411
  ( 115 digits)
Divisors found:
 r1=241198112402284085400049735671995479639288153 (pp45)
 r2=12166907050378837298642013658257125610939904245160777794608634185199787 (pp71)
Version: GGNFS-0.77.1-20050930-pentium3
Total time: 26.09 hours.
Scaled time: 7.75 units (timescale=0.297).
Factorization parameters were as follows:
name: 49997_171
n: 2934635014325417516096701273747698164950838782296104637022869061437943116969747674977296282584317681872004767223411
skew: 74056.80
# norm 1.29e+16
c5: 33600
c4: -3746392840
c3: -544442683811411
c2: 17054315618171851220
c1: 1217441680378892041663324
c0: -19655107573523269710901021680
# alpha -6.40
Y1: 1547472681557
Y0: -9732950247591089513527
# Murphy_E 5.29e-10
# M 1529526105085601883212096215779823540361348901810900877749446168933591385261591139256845661451207162190541862940240
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, 3150000)
Primes: RFBsize:256726, AFBsize:257300, largePrimes:7660466 encountered
Relations: rels:7701963, finalFF:702520
Max relations in full relation-set: 28
Initial matrix: 514107 x 702520 with sparse part having weight 63078489.
Pruned matrix : 368728 x 371362 with weight 37331473.
Total sieving time: 23.97 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 0.93 hours.
Time per square root: 1.02 hours.
Prototype def-par.txt line would be:
gnfs,114,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3600000,3600000,27,27,50,50,2.4,2.4,75000
total time: 26.09 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 for sieving/matrix step and Pentium III 1GHz for square root

5×10173-3

c147

name 名前Wataru Sakai
date 日付June 17, 2010 13:01:25 UTC 2010 年 6 月 17 日 (木) 22 時 1 分 25 秒 (日本時間)
composite number 合成数
189249575203982257361587975771115279247406659562017227437299222457867144747709591119052166809217860945833542257131223575991234112864475554014018477<147>
prime factors 素因数
30109330950025896743761895062141655572845141032519385869<56>
6285412834914536207453140621762752934767726328887047023537856812367872673794884930822419233<91>
factorization results 素因数分解の結果
Number: 49997_173
N=189249575203982257361587975771115279247406659562017227437299222457867144747709591119052166809217860945833542257131223575991234112864475554014018477
  ( 147 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=30109330950025896743761895062141655572845141032519385869
 r2=6285412834914536207453140621762752934767726328887047023537856812367872673794884930822419233
Version: 
Total time: 99.49 hours.
Scaled time: 200.47 units (timescale=2.015).
Factorization parameters were as follows:
n: 189249575203982257361587975771115279247406659562017227437299222457867144747709591119052166809217860945833542257131223575991234112864475554014018477
m: 10000000000000000000000000000000000
deg: 5
c5: 5000
c0: -3
skew: 0.23
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2750000, 5650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 838906 x 839154
Total sieving time: 99.49 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
total time: 99.49 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 5, 2007 09:00:00 UTC 2007 年 7 月 5 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiSeptember 13, 2009 07:34:16 UTC 2009 年 9 月 13 日 (日) 16 時 34 分 16 秒 (日本時間)

5×10175-3

c176

name 名前Jo Yeong Uk
date 日付July 5, 2007 23:23:15 UTC 2007 年 7 月 6 日 (金) 8 時 23 分 15 秒 (日本時間)
composite number 合成数
49999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997<176>
prime factors 素因数
82494503209048359090450275383194039527<38>
composite cofactor 合成数の残り
606100989217373462581008360915327251534574087696954550955083284282765441327791625110225200206880593890686186829406312682705912893389087611<138>
factorization results 素因数分解の結果
GMP-ECM 6.1.2 [powered by GMP 4.2.1] [ECM]
Input number is 49999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997 (176 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=464340137
Step 1 took 30200ms
Step 2 took 11994ms
********** Factor found in step 2: 82494503209048359090450275383194039527
Found probable prime factor of 38 digits: 82494503209048359090450275383194039527
Composite cofactor 606100989217373462581008360915327251534574087696954550955083284282765441327791625110225200206880593890686186829406312682705912893389087611 has 138 digits
execution environment 実行環境
Core 2 Quad Q6600

c138

name 名前Warut Roonguthai
date 日付September 24, 2011 01:57:23 UTC 2011 年 9 月 24 日 (土) 10 時 57 分 23 秒 (日本時間)
composite number 合成数
606100989217373462581008360915327251534574087696954550955083284282765441327791625110225200206880593890686186829406312682705912893389087611<138>
prime factors 素因数
622774835002136324568118505508503461561760982623<48>
973226526109222661257558042447772889974058312437132710684127975133165175685221991693254757<90>
factorization results 素因数分解の結果
N = 606100989217373462581008360915327251534574087696954550955083284282765441327791625110225200206880593890686186829406312682705912893389087611 (138 digits)
SNFS difficulty: 176 digits.
Divisors found:
r1=622774835002136324568118505508503461561760982623 (pp48)
r2=973226526109222661257558042447772889974058312437132710684127975133165175685221991693254757 (pp90)
Version: Msieve v. 1.48
Total time: 26.50 hours.
Factorization parameters were as follows:
name: 5*10^175-3
n: 606100989217373462581008360915327251534574087696954550955083284282765441327791625110225200206880593890686186829406312682705912893389087611
Y0: 100000000000000000000000000000000000
Y1: -1
c0: -3
c1: 0
c2: 0
c3: 0
c4: 0
c5: 5
skew: 0.90
type: snfs
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 19566796
Relations: 2364546 relations
Pruned matrix : 1320011 x 1320247
Polynomial selection time: 0.00 hours.
Total sieving time: 24.13 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 2.22 hours.
time per square root: 0.06 hours.
Prototype def-par.txt line would be: snfs,176,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,55,55,2.5,2.5,100000
total time: 26.50 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
3025e4430Makoto KamadaJuly 5, 2007 09:00:00 UTC 2007 年 7 月 5 日 (木) 18 時 0 分 0 秒 (日本時間)
351e6309Ignacio SantosMay 24, 2010 21:55:03 UTC 2010 年 5 月 25 日 (火) 6 時 55 分 3 秒 (日本時間)
403e62141115Ignacio SantosMay 24, 2010 21:55:03 UTC 2010 年 5 月 25 日 (火) 6 時 55 分 3 秒 (日本時間)
2026Wataru SakaiMay 27, 2010 06:06:08 UTC 2010 年 5 月 27 日 (木) 15 時 6 分 8 秒 (日本時間)
4511e6403232Ignacio SantosMay 24, 2010 21:55:03 UTC 2010 年 5 月 25 日 (火) 6 時 55 分 3 秒 (日本時間)
4000Wataru SakaiAugust 31, 2011 10:02:29 UTC 2011 年 8 月 31 日 (水) 19 時 2 分 29 秒 (日本時間)

5×10176-3

c155

name 名前Warut Roonguthai
date 日付October 13, 2011 17:08:14 UTC 2011 年 10 月 14 日 (金) 2 時 8 分 14 秒 (日本時間)
composite number 合成数
13064639250085726336348696010904573138398173637585315342534448757488438526780921374388630551831766636208884969853630214036920260492386264043355757076461173<155>
prime factors 素因数
2274865420007889661155682783404718380337573973025278945780720705852739617093<76>
5743038306872859190986059734897667468860648548431816569636283614382583135304561<79>
factorization results 素因数分解の結果
N = 13064639250085726336348696010904573138398173637585315342534448757488438526780921374388630551831766636208884969853630214036920260492386264043355757076461173 (155 digits)
SNFS difficulty: 177 digits.
Divisors found:
r1=2274865420007889661155682783404718380337573973025278945780720705852739617093 (pp76)
r2=5743038306872859190986059734897667468860648548431816569636283614382583135304561 (pp79)
Version: Msieve v. 1.48
Total time: 30.10 hours.
Factorization parameters were as follows:
name: 5*10^176-3
n: 13064639250085726336348696010904573138398173637585315342534448757488438526780921374388630551831766636208884969853630214036920260492386264043355757076461173
Y0: 100000000000000000000000000000000000
Y1: -1
c0: -3
c1: 0
c2: 0
c3: 0
c4: 0
c5: 50
skew: 0.57
type: snfs
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 19756018
Relations: 2598712 relations
Pruned matrix : 1436302 x 1436530
Polynomial selection time: 0.00 hours.
Total sieving time: 27.23 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 2.71 hours.
time per square root: 0.06 hours.
Prototype def-par.txt line would be: snfs,177,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,55,55,2.5,2.5,100000
total time: 30.10 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
3025e4430Makoto KamadaJuly 5, 2007 09:00:00 UTC 2007 年 7 月 5 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336300Dmitry DomanovMay 16, 2011 05:56:51 UTC 2011 年 5 月 16 日 (月) 14 時 56 分 51 秒 (日本時間)
2036Wataru SakaiJune 26, 2011 06:14:01 UTC 2011 年 6 月 26 日 (日) 15 時 14 分 1 秒 (日本時間)
4511e64000Wataru SakaiAugust 23, 2011 07:27:00 UTC 2011 年 8 月 23 日 (火) 16 時 27 分 0 秒 (日本時間)

5×10177-3

c147

name 名前matsui
date 日付October 30, 2008 08:50:34 UTC 2008 年 10 月 30 日 (木) 17 時 50 分 34 秒 (日本時間)
composite number 合成数
899367641926713799141991352700853887454818241078024680408131394423372550185069563049583638222675661519098771870475781201357007143856873533832942871<147>
prime factors 素因数
4116890636843482409367503214379<31>
218457987170696445427188464234004646047913220813017808820800049784287693771198669963461651749956944384214219693687749<117>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]

899367641926713799141991352700853887454818241078024680408131394423372550185069563049583638222675661519098771870475781201357007143856873533832942871

=4116890636843482409367503214379* 218457987170696445427188464234004646047913220813017808820800049784287693771198669963461651749956944384214219693687749

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 5, 2007 09:00:00 UTC 2007 年 7 月 5 日 (木) 18 時 0 分 0 秒 (日本時間)

5×10179-3

c115

name 名前Jo Yeong Uk
date 日付July 17, 2007 01:55:11 UTC 2007 年 7 月 17 日 (火) 10 時 55 分 11 秒 (日本時間)
composite number 合成数
2275409594168246455928757421586717932537118162223751052838379676300521807658832201602602122092595306083443281259799<115>
prime factors 素因数
621517573913879824531937479098749<33>
3661054312333149079554418503387457027608632989634573487936702648419063794797276451<82>
factorization results 素因数分解の結果
Number: 49997_179
N=2275409594168246455928757421586717932537118162223751052838379676300521807658832201602602122092595306083443281259799
  ( 115 digits)
Divisors found:
 r1=621517573913879824531937479098749 (pp33)
 r2=3661054312333149079554418503387457027608632989634573487936702648419063794797276451 (pp82)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 25.17 hours.
Scaled time: 53.93 units (timescale=2.143).
Factorization parameters were as follows:
name: 49997_179
n: 2275409594168246455928757421586717932537118162223751052838379676300521807658832201602602122092595306083443281259799
skew: 48196.28
# norm 2.56e+15
c5: 17100
c4: -244455031
c3: -4688970535978
c2: 2873460003022738472
c1: -73570840875606184789656
c0: -1602366182681329256539047600
# alpha -5.29
Y1: 1286465858737
Y0: -10587973502887367643287
# Murphy_E 5.24e-10
# M 1767462674691911687831046393184802436937077927791968598803245797389906802841504982740536471287350721141060325879747
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:256075, largePrimes:7543117 encountered
Relations: rels:7471856, finalFF:627137
Max relations in full relation-set: 28
Initial matrix: 512887 x 627137 with sparse part having weight 54070246.
Pruned matrix : 419748 x 422376 with weight 33364516.
Polynomial selection time: 1.32 hours.
Total sieving time: 22.33 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 1.22 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
gnfs,114,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3600000,3600000,27,27,50,50,2.4,2.4,75000
total time: 25.17 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Total of 4 processors activated (19246.12 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

5×10181-3

c131

name 名前Warut Roonguthai
date 日付April 1, 2012 00:22:34 UTC 2012 年 4 月 1 日 (日) 9 時 22 分 34 秒 (日本時間)
composite number 合成数
12231198197520358096083583857386171377073575513702408928285732464763068292309388974950960774890803437173299991500853603513654920399<131>
prime factors 素因数
466672319325375067753482435099566145666765998596399651<54>
26209392953072228584871481098029356797578500614279335967751183815135680712549<77>
factorization results 素因数分解の結果
N = 12231198197520358096083583857386171377073575513702408928285732464763068292309388974950960774890803437173299991500853603513654920399 (131 digits)
Divisors found:
r1=466672319325375067753482435099566145666765998596399651 (pp54)
r2=26209392953072228584871481098029356797578500614279335967751183815135680712549 (pp77)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 27.03 hours.
Factorization parameters were as follows:
n: 12231198197520358096083583857386171377073575513702408928285732464763068292309388974950960774890803437173299991500853603513654920399
Y0: -19015097641782455385743395
Y1: 136710034197217
c0: -191781652309861865110413736317408
c1: 3850419428492632305133429344
c2: -13269902935319234737754
c3: 5197259828376269
c4: 17493337394
c5: 4920
skew: 848925.33 
type: gnfs
Factor base limits: 7500000/7500000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 20177340
Relations: 2451398 relations
Pruned matrix : 1400786 x 1401018
Polynomial selection time: 0.00 hours.
Total sieving time: 24.95 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.86 hours.
time per square root: 0.12 hours.
Prototype def-par.txt line would be: gnfs,130,5,65,2000,1e-05,0.28,250,20,50000,3600,7500000,7500000,28,28,55,55,2.5,2.5,100000
total time: 27.03 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 5, 2007 09:00:00 UTC 2007 年 7 月 5 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61070300Dmitry DomanovMay 16, 2011 05:57:19 UTC 2011 年 5 月 16 日 (月) 14 時 57 分 19 秒 (日本時間)
770Ignacio SantosJuly 5, 2011 16:46:51 UTC 2011 年 7 月 6 日 (水) 1 時 46 分 51 秒 (日本時間)
4511e6220 / 4028Ignacio SantosJuly 5, 2011 16:46:51 UTC 2011 年 7 月 6 日 (水) 1 時 46 分 51 秒 (日本時間)
5043e661 / 7464Ignacio SantosJuly 5, 2011 16:46:51 UTC 2011 年 7 月 6 日 (水) 1 時 46 分 51 秒 (日本時間)

5×10182-3

c182

name 名前Robert Backstrom
date 日付September 11, 2007 15:23:06 UTC 2007 年 9 月 12 日 (水) 0 時 23 分 6 秒 (日本時間)
composite number 合成数
10204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653<182>
prime factors 素因数
29770834642130994832881614532449420836505709773<47>
342754301493868147025468004954466202887529212100972680571593317530253611454746160580734860582053102922819500742588146493363342762650561<135>
factorization results 素因数分解の結果
Number: n
N=10204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653
  ( 182 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=29770834642130994832881614532449420836505709773 (pp47)
 r2=342754301493868147025468004954466202887529212100972680571593317530253611454746160580734860582053102922819500742588146493363342762650561 (pp135)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 526.30 hours.
Scaled time: 759.46 units (timescale=1.443).
Factorization parameters were as follows:
name: KA_4_9_181_7
n: 10204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653
skew: 1.36
deg: 5
c5: 500
c0: -3
m: 1000000000000000000000000000000000000
type: snfs
rlim: 4000000
alim: 4000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 7900001)
Primes: RFBsize:283146, AFBsize:282917, largePrimes:9091651 encountered
Relations: rels:8782511, finalFF:640766
Max relations in full relation-set: 28
Initial matrix: 566129 x 640766 with sparse part having weight 83377454.
Pruned matrix : 535642 x 538536 with weight 69043920.
Total sieving time: 508.12 hours.
Total relation processing time: 0.68 hours.
Matrix solve time: 17.38 hours.
Total square root time: 0.12 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,4000000,4000000,28,28,48,48,2.5,2.5,100000
total time: 526.30 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

5×10183-3

c162

name 名前Dmitry Domanov
date 日付February 20, 2014 05:52:15 UTC 2014 年 2 月 20 日 (木) 14 時 52 分 15 秒 (日本時間)
composite number 合成数
135622399048482984628301962774284109102151415221737005182336692367199033852561311657661161978397155019181427276396809196761426838738098548742194102321936855582437<162>
prime factors 素因数
1558003914352530342621269436839277180069274141247<49>
87048817913172222637044583663802881819197632065198800095818192015977818647042819630300618825841655451541252023771<113>
factorization results 素因数分解の結果
N=135622399048482984628301962774284109102151415221737005182336692367199033852561311657661161978397155019181427276396809196761426838738098548742194102321936855582437
  ( 162 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=1558003914352530342621269436839277180069274141247 (pp49)
 r2=87048817913172222637044583663802881819197632065198800095818192015977818647042819630300618825841655451541252023771 (pp113)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 113.54 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 135622399048482984628301962774284109102151415221737005182336692367199033852561311657661161978397155019181427276396809196761426838738098548742194102321936855582437
m: 5000000000000000000000000000000000000
deg: 5
c5: 8
c0: -15
skew: 1.13
# Murphy_E = 9.231e-11
type: snfs
lss: 1
rlim: 8300000
alim: 8300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 8300000/8300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4150000, 9550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1463799 x 1464027
Total sieving time: 111.10 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 2.05 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,184.000,5,0,0,0,0,0,0,0,0,8300000,8300000,28,28,54,54,2.5,2.5,100000
total time: 113.54 hours.
 --------- CPU info (if available) ----------
[    0.074309] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000)
[    0.707507] Total of 16 processors activated (76799.07 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 5, 2007 09:00:00 UTC 2007 年 7 月 5 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61800300Dmitry DomanovMay 16, 2011 05:57:30 UTC 2011 年 5 月 16 日 (月) 14 時 57 分 30 秒 (日本時間)
1500Dmitry DomanovSeptember 27, 2013 13:27:39 UTC 2013 年 9 月 27 日 (金) 22 時 27 分 39 秒 (日本時間)
4511e6200 / 4081Rich DickersonNovember 9, 2013 19:05:40 UTC 2013 年 11 月 10 日 (日) 4 時 5 分 40 秒 (日本時間)

5×10185-3

c175

name 名前Robert Backstrom
date 日付February 10, 2012 05:45:33 UTC 2012 年 2 月 10 日 (金) 14 時 45 分 33 秒 (日本時間)
composite number 合成数
6910744458915338936949279371391233681674502846492402099148674853679681435022358532581485105909921679404798972101309318970544672975352771989061366888660781360870591558552100529<175>
prime factors 素因数
11398583918308311218706977630346228414893336146411<50>
606280965113162727317335313147807804249146421743294918972031072509629360133892713710215314034646846435307514835203848156835539<126>
factorization results 素因数分解の結果
Number: n
N=6910744458915338936949279371391233681674502846492402099148674853679681435022358532581485105909921679404798972101309318970544672975352771989061366888660781360870591558552100529
  ( 175 digits)
SNFS difficulty: 185 digits.
Divisors found:

Fri Feb 10 09:08:19 2012  prp50 factor: 11398583918308311218706977630346228414893336146411
Fri Feb 10 09:08:19 2012  prp126 factor: 606280965113162727317335313147807804249146421743294918972031072509629360133892713710215314034646846435307514835203848156835539
Fri Feb 10 09:08:19 2012  elapsed time 02:33:18 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.662).
Factorization parameters were as follows:
name: KA_49997_185
n: 6910744458915338936949279371391233681674502846492402099148674853679681435022358532581485105909921679404798972101309318970544672975352771989061366888660781360870591558552100529
m: 10000000000000000000000000000000000000
#  c175, diff: 185.7
skew: 0.9
deg: 5
c5: 5
c0: -3
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 13100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7784738 hash collisions in 76382792 relations (73325556 unique)
Msieve: matrix is 1059754 x 1060002 (292.0 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.06 BogoMIPS (lpj=2797533)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 5, 2007 09:00:00 UTC 2007 年 7 月 5 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovMay 16, 2011 05:57:37 UTC 2011 年 5 月 16 日 (月) 14 時 57 分 37 秒 (日本時間)

5×10186-3

c148

name 名前matsui
date 日付October 1, 2008 23:27:26 UTC 2008 年 10 月 2 日 (木) 8 時 27 分 26 秒 (日本時間)
composite number 合成数
1593356715325410319172868890988741940658975404678256641171322555945504876672202381871531579446721699351252766811856458978967108352978533218354929209<148>
prime factors 素因数
440247862165415629914964024062743623<36>
3619226468217882437161494597428834606600520897650913186570957157465554197450093428407182748230547242163506739583<112>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
1593356715325410319172868890988741940658975404678256641171322555945504876672202381871531579446721699351252766811856458978967108352978533218354929209
=440247862165415629914964024062743623* 3619226468217882437161494597428834606600520897650913186570957157465554197450093428407182748230547242163506739583

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 5, 2007 09:00:00 UTC 2007 年 7 月 5 日 (木) 18 時 0 分 0 秒 (日本時間)

5×10187-3

c144

name 名前Daniel Morel
date 日付December 11, 2014 15:12:14 UTC 2014 年 12 月 12 日 (金) 0 時 12 分 14 秒 (日本時間)
composite number 合成数
176854839468032025843574291297273975571597599222231280575618665497763114064658384899904033034687730030372117081609282380305860313533161720905161<144>
prime factors 素因数
83056511670823649247354301344346917109696640026355065633422259561<65>
2129331414362278665956004632986128757391413126962568285744208580545409961269601<79>
factorization results 素因数分解の結果
Polynomial : X^5 - 600 ; m = 10^38
rlim = alim = 25000000
lpbr = lpba = 28
mfbr = mfba = 49
rlambda = alambda = 2.5
skew = 4
qIntSize = 100000

Initial matrix : 3131035 x 3778524
Pruned matrice : 2446353 x 2462072

time : 21 days

p65 = 83056511670823649247354301344346917109696640026355065633422259561
p79 = 2129331414362278665956004632986128757391413126962568285744208580545409961269601
software ソフトウェア
GGNFS-0.77.1
execution environment 実行環境
Windows 7 (AMD Athlon 2,7 GHz and Intel Core I5 3.2 GHz for matrix step)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 5, 2007 09:00:00 UTC 2007 年 7 月 5 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61800300Dmitry DomanovMay 16, 2011 05:57:47 UTC 2011 年 5 月 16 日 (月) 14 時 57 分 47 秒 (日本時間)
1500Dmitry DomanovSeptember 27, 2013 13:27:49 UTC 2013 年 9 月 27 日 (金) 22 時 27 分 49 秒 (日本時間)
4511e61000 / 4081Dmitry DomanovNovember 6, 2013 13:06:12 UTC 2013 年 11 月 6 日 (水) 22 時 6 分 12 秒 (日本時間)

5×10188-3

c164

name 名前Daniel Morel
date 日付December 18, 2014 15:15:35 UTC 2014 年 12 月 19 日 (金) 0 時 15 分 35 秒 (日本時間)
composite number 合成数
23784642322782389727483886478507778857648845827861779623490460057489121081990019835565636976320832666186977754859293457650508659521270794766613630185076514718043827<164>
prime factors 素因数
24372134717950196431771259606208452211059944416590906754551<59>
975894914336940880208134219437306377088340517696594811196213126616013256756126138633275940535193118973477<105>
factorization results 素因数分解の結果
Polynomial: X^5 - 60 ; m = 100000000000000000000000000000000000000
rlim = alim = 20000000
lpbr = lpba = 28
mfbr = mfba = 49
rlambda = alambda = 2.4
skew = 6.9
qIntSize = 100000

Initial matrix: 2540276 x 2882762
Pruned matrix: 2187519 x 2200284

time: 19 days 21 hours or so

p59 = 24372134717950196431771259606208452211059944416590906754551
p105 = 975894914336940880208134219437306377088340517696594811196213126616013256756126138633275940535193118973477
software ソフトウェア
GGNFS-0.77.1
execution environment 実行環境
Windows 7 (AMD Athlon 2,7 GHz and Intel Core I5 3.2 GHz for matrix step)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 5, 2007 09:00:00 UTC 2007 年 7 月 5 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61800300Dmitry DomanovMay 16, 2011 05:57:57 UTC 2011 年 5 月 16 日 (月) 14 時 57 分 57 秒 (日本時間)
1500Dmitry DomanovSeptember 27, 2013 13:27:59 UTC 2013 年 9 月 27 日 (金) 22 時 27 分 59 秒 (日本時間)
4511e61000 / 4081Dmitry DomanovNovember 7, 2013 13:13:23 UTC 2013 年 11 月 7 日 (木) 22 時 13 分 23 秒 (日本時間)

5×10189-3

c152

name 名前Kenji Ibusuki
date 日付August 4, 2017 13:28:28 UTC 2017 年 8 月 4 日 (金) 22 時 28 分 28 秒 (日本時間)
composite number 合成数
65107836281806380527460443945710601044823073983360558450448365323448270426401973990973493292298039170083053456584781886876104761760598392817664408608997<152>
prime factors 素因数
12479109782276652638113259008995156003707320730233<50>
5217346222426476280764232566702176959503656770372047964238316166268374690050745808988793934033180399309<103>
factorization results 素因数分解の結果
Number: 49997_189
N=65107836281806380527460443945710601044823073983360558450448365323448270426401973990973493292298039170083053456584781886876104761760598392817664408608997
  ( 152 digits)
SNFS difficulty: 190 digits.
Divisors found: (Total dependency: 1)
 r1=12479109782276652638113259008995156003707320730233 (pp50)
 r2=5217346222426476280764232566702176959503656770372047964238316166268374690050745808988793934033180399309 (pp103)
Msieve version: Msieve v. 1.49 (SVN unknown)
GGNFS version: (N/A)
Total time: 252.55 hours (11.23 calendar hours).
Scaled time: 1132.43 units (timescale=4.484).
Factorization parameters were as follows:
n: 65107836281806380527460443945710601044823073983360558450448365323448270426401973990973493292298039170083053456584781886876104761760598392817664408608997
m: 100000000000000000000000000000000000000
type: snfs
deg: 5
skew: 1.431
c5: 1
c0: -6
rlim: 10200000
alim: 10200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
relslim: 29100000
qintsize: 5000
lss: 1
# Murphy_E: 6.148e-011

Polynomial score was as follows:
skew 1.43, size 6.702e-013, alpha 0.815, combined = 6.148e-011 rroots = 1
Factor base limits: 10200000/10200000
Large primes per side: 3
Large prime bits: 28/28
Sieved special-q in [5100000, 18595001)
Relations: raw-rels:29375506 rels:25973362, finalFF:1371367
Pruned matrix : 1370939 x 1371164
Total sieving time: 244.93 hours (9.97 calendar hours).
Total relation processing time: 0.11 hours.
Total matrix build processing time: 0.06 hours.
Matrix pruned processing time: (N/A)
Matrix solve time: 7.42 hours (1.06 calendar hours).
Total time of square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,10200000,10200000,28,28,54,54,2.5,2.5,100000
total time: 252.55 hours (11.23 calendar hours).
 --------- CPU info (if available) ----------
software ソフトウェア
Msieve v. 1.49 (SVN unknown) + gnfs-lasieve4I13e with 
factMsieve.pl (decomposed + modified) snfs
(without procrels.exe, matbuild.exe for "finalFF" calculation)
execution environment 実行環境
Sieveing:
  Core i7 2600 - Windows7 64bit (7 threads used),
  Core i7 4770 - Windows7 64bit (8 threads used) x 2 and
  Core 2 Quad Q6600 - Windows Vista 32bit (4 threads used)
Matrix solve:
  Core i7 2600 - Windows7 64bit (7 threads used)
Other processing:
  Core i7 2600 - Windows7 64bit (1 thread used)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 5, 2007 09:00:00 UTC 2007 年 7 月 5 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61800300Dmitry DomanovMay 16, 2011 05:58:04 UTC 2011 年 5 月 16 日 (月) 14 時 58 分 4 秒 (日本時間)
1500Dmitry DomanovSeptember 27, 2013 13:28:39 UTC 2013 年 9 月 27 日 (金) 22 時 28 分 39 秒 (日本時間)
4511e61000 / 4081Dmitry DomanovNovember 5, 2013 13:13:16 UTC 2013 年 11 月 5 日 (火) 22 時 13 分 16 秒 (日本時間)

5×10190-3

c176

name 名前Serge Batalov
date 日付March 20, 2011 19:24:54 UTC 2011 年 3 月 21 日 (月) 4 時 24 分 54 秒 (日本時間)
composite number 合成数
33667262706125150175136788624252914418508872392655887784222850178302634970322282528496106049033627482680490629367185535610518215294270322703188810543614226271946438204511547331<176>
prime factors 素因数
527532459262379364819400889710475341<36>
63820267577847809560959879869697351983691654704798909324639277821967156041651574670042751579050089651798672266382540835075316502462738829391<140>
factorization results 素因数分解の結果
Using B1=100000000, B2=4537592002678, polynomial x^1, x0=1656522531 [P-1]
Step 1 took 51047ms
Step 2 took 24882ms
********** Factor found in step 2: 527532459262379364819400889710475341
Found probable prime factor of 36 digits: 527532459262379364819400889710475341
Probable prime cofactor 63820267577847809560959879869697351983691654704798909324639277821967156041651574670042751579050089651798672266382540835075316502462738829391 has 140 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 5, 2007 09:00:00 UTC 2007 年 7 月 5 日 (木) 18 時 0 分 0 秒 (日本時間)

5×10191-3

c153

composite cofactor 合成数の残り
697401015612336356682145624099454530373734274117674755250632681021593414779235290246504588485231235964678255558006472624317055265367800569798120069645071<153>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 5, 2007 09:00:00 UTC 2007 年 7 月 5 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61800300Dmitry DomanovMay 16, 2011 05:58:12 UTC 2011 年 5 月 16 日 (月) 14 時 58 分 12 秒 (日本時間)
1500Dmitry DomanovSeptember 27, 2013 13:28:50 UTC 2013 年 9 月 27 日 (金) 22 時 28 分 50 秒 (日本時間)
4511e61000 / 4081Dmitry DomanovNovember 5, 2013 13:13:03 UTC 2013 年 11 月 5 日 (火) 22 時 13 分 3 秒 (日本時間)

5×10193-3

c124

name 名前Andreas Tete
date 日付July 23, 2009 13:57:29 UTC 2009 年 7 月 23 日 (木) 22 時 57 分 29 秒 (日本時間)
composite number 合成数
1193300041763731671870987439029906012365042862204137739005604691718275603021397760465734919821660412096935234987760359924597<124>
prime factors 素因数
14620629278240550652432989762103729163476871<44>
81617556881746859330571187100259479960634045948609207766222314981106404568681507<80>
factorization results 素因数分解の結果
Thu Jul 23 13:49:00 2009  Msieve v. 1.42
Thu Jul 23 13:49:00 2009  random seeds: 7f123710 3ac4bbe3
Thu Jul 23 13:49:00 2009  factoring 1193300041763731671870987439029906012365042862204137739005604691718275603021397760465734919821660412096935234987760359924597 (124 digits)
Thu Jul 23 13:49:02 2009  searching for 15-digit factors
Thu Jul 23 13:49:03 2009  commencing number field sieve (124-digit input)
Thu Jul 23 13:49:03 2009  R0: -543336852106466897936255
Thu Jul 23 13:49:03 2009  R1:  18897792025541
Thu Jul 23 13:49:03 2009  A0: -56096130083591137671762443568
Thu Jul 23 13:49:03 2009  A1:  18511784021721927080713518
Thu Jul 23 13:49:03 2009  A2: -165566443634317392579
Thu Jul 23 13:49:03 2009  A3: -3652011178397938
Thu Jul 23 13:49:03 2009  A4:  5511588632
Thu Jul 23 13:49:03 2009  A5:  25200
Thu Jul 23 13:49:03 2009  skew 149034.11, size 7.586280e-012, alpha -6.213274, combined = 1.859200e-010
Thu Jul 23 13:49:03 2009  
Thu Jul 23 13:49:03 2009  commencing relation filtering
Thu Jul 23 13:49:03 2009  estimated available RAM is 3069.5 MB
Thu Jul 23 13:49:03 2009  commencing duplicate removal, pass 1
Thu Jul 23 13:49:03 2009  error -15 reading relation 27880
Thu Jul 23 13:50:52 2009  found 1488308 hash collisions in 9178490 relations
Thu Jul 23 13:51:22 2009  added 59182 free relations
Thu Jul 23 13:51:22 2009  commencing duplicate removal, pass 2
Thu Jul 23 13:51:47 2009  found 1228693 duplicates and 8008978 unique relations
Thu Jul 23 13:51:47 2009  memory use: 41.3 MB
Thu Jul 23 13:51:47 2009  reading ideals above 100000
Thu Jul 23 13:51:47 2009  commencing singleton removal, initial pass
Thu Jul 23 13:53:56 2009  memory use: 149.2 MB
Thu Jul 23 13:53:56 2009  reading all ideals from disk
Thu Jul 23 13:54:03 2009  memory use: 287.9 MB
Thu Jul 23 13:54:05 2009  keeping 8633531 ideals with weight <= 200, target excess is 43827
Thu Jul 23 13:54:07 2009  commencing in-memory singleton removal
Thu Jul 23 13:54:09 2009  begin with 8008978 relations and 8633531 unique ideals
Thu Jul 23 13:54:21 2009  reduce to 3184608 relations and 3001298 ideals in 15 passes
Thu Jul 23 13:54:21 2009  max relations containing the same ideal: 106
Thu Jul 23 13:54:24 2009  removing 456604 relations and 390369 ideals in 66235 cliques
Thu Jul 23 13:54:24 2009  commencing in-memory singleton removal
Thu Jul 23 13:54:25 2009  begin with 2728004 relations and 3001298 unique ideals
Thu Jul 23 13:54:30 2009  reduce to 2687707 relations and 2569635 ideals in 9 passes
Thu Jul 23 13:54:30 2009  max relations containing the same ideal: 98
Thu Jul 23 13:54:33 2009  removing 347400 relations and 281165 ideals in 66235 cliques
Thu Jul 23 13:54:33 2009  commencing in-memory singleton removal
Thu Jul 23 13:54:33 2009  begin with 2340307 relations and 2569635 unique ideals
Thu Jul 23 13:54:37 2009  reduce to 2310136 relations and 2257591 ideals in 8 passes
Thu Jul 23 13:54:37 2009  max relations containing the same ideal: 85
Thu Jul 23 13:54:40 2009  relations with 0 large ideals: 159
Thu Jul 23 13:54:40 2009  relations with 1 large ideals: 448
Thu Jul 23 13:54:40 2009  relations with 2 large ideals: 5181
Thu Jul 23 13:54:40 2009  relations with 3 large ideals: 37785
Thu Jul 23 13:54:40 2009  relations with 4 large ideals: 157995
Thu Jul 23 13:54:40 2009  relations with 5 large ideals: 402047
Thu Jul 23 13:54:40 2009  relations with 6 large ideals: 632608
Thu Jul 23 13:54:40 2009  relations with 7+ large ideals: 1073913
Thu Jul 23 13:54:40 2009  commencing 2-way merge
Thu Jul 23 13:54:43 2009  reduce to 1431580 relation sets and 1379035 unique ideals
Thu Jul 23 13:54:43 2009  commencing full merge
Thu Jul 23 13:55:20 2009  memory use: 151.7 MB
Thu Jul 23 13:55:20 2009  found 735016 cycles, need 727235
Thu Jul 23 13:55:20 2009  weight of 727235 cycles is about 51191425 (70.39/cycle)
Thu Jul 23 13:55:20 2009  distribution of cycle lengths:
Thu Jul 23 13:55:20 2009  1 relations: 83344
Thu Jul 23 13:55:20 2009  2 relations: 84619
Thu Jul 23 13:55:20 2009  3 relations: 84693
Thu Jul 23 13:55:20 2009  4 relations: 78225
Thu Jul 23 13:55:20 2009  5 relations: 70392
Thu Jul 23 13:55:20 2009  6 relations: 61090
Thu Jul 23 13:55:20 2009  7 relations: 52459
Thu Jul 23 13:55:20 2009  8 relations: 44423
Thu Jul 23 13:55:20 2009  9 relations: 36816
Thu Jul 23 13:55:20 2009  10+ relations: 131174
Thu Jul 23 13:55:20 2009  heaviest cycle: 22 relations
Thu Jul 23 13:55:20 2009  commencing cycle optimization
Thu Jul 23 13:55:22 2009  start with 4253137 relations
Thu Jul 23 13:55:34 2009  pruned 113256 relations
Thu Jul 23 13:55:34 2009  memory use: 109.9 MB
Thu Jul 23 13:55:34 2009  distribution of cycle lengths:
Thu Jul 23 13:55:34 2009  1 relations: 83344
Thu Jul 23 13:55:34 2009  2 relations: 86599
Thu Jul 23 13:55:34 2009  3 relations: 87818
Thu Jul 23 13:55:34 2009  4 relations: 80345
Thu Jul 23 13:55:34 2009  5 relations: 72065
Thu Jul 23 13:55:34 2009  6 relations: 62062
Thu Jul 23 13:55:34 2009  7 relations: 52824
Thu Jul 23 13:55:34 2009  8 relations: 44435
Thu Jul 23 13:55:34 2009  9 relations: 36553
Thu Jul 23 13:55:34 2009  10+ relations: 121190
Thu Jul 23 13:55:34 2009  heaviest cycle: 21 relations
Thu Jul 23 13:55:35 2009  RelProcTime: 392
Thu Jul 23 13:55:35 2009  
Thu Jul 23 13:55:35 2009  commencing linear algebra
Thu Jul 23 13:55:36 2009  read 727235 cycles
Thu Jul 23 13:55:38 2009  cycles contain 2259892 unique relations
Thu Jul 23 13:56:23 2009  read 2259892 relations
Thu Jul 23 13:56:27 2009  using 20 quadratic characters above 134214264
Thu Jul 23 13:56:42 2009  building initial matrix
Thu Jul 23 13:57:21 2009  memory use: 265.6 MB
Thu Jul 23 13:57:22 2009  read 727235 cycles
Thu Jul 23 13:57:23 2009  matrix is 727058 x 727235 (209.7 MB) with weight 69362639 (95.38/col)
Thu Jul 23 13:57:23 2009  sparse part has weight 49161753 (67.60/col)
Thu Jul 23 13:57:35 2009  filtering completed in 2 passes
Thu Jul 23 13:57:35 2009  matrix is 726657 x 726834 (209.7 MB) with weight 69345359 (95.41/col)
Thu Jul 23 13:57:35 2009  sparse part has weight 49156190 (67.63/col)
Thu Jul 23 13:57:38 2009  read 726834 cycles
Thu Jul 23 13:57:40 2009  matrix is 726657 x 726834 (209.7 MB) with weight 69345359 (95.41/col)
Thu Jul 23 13:57:40 2009  sparse part has weight 49156190 (67.63/col)
Thu Jul 23 13:57:40 2009  saving the first 48 matrix rows for later
Thu Jul 23 13:57:40 2009  matrix is 726609 x 726834 (200.2 MB) with weight 54862726 (75.48/col)
Thu Jul 23 13:57:40 2009  sparse part has weight 48114957 (66.20/col)
Thu Jul 23 13:57:40 2009  matrix includes 64 packed rows
Thu Jul 23 13:57:40 2009  using block size 65536 for processor cache size 3072 kB
Thu Jul 23 13:57:47 2009  commencing Lanczos iteration
Thu Jul 23 13:57:47 2009  memory use: 202.6 MB
Thu Jul 23 15:23:28 2009  lanczos halted after 11492 iterations (dim = 726608)
Thu Jul 23 15:23:31 2009  recovered 31 nontrivial dependencies
Thu Jul 23 15:23:31 2009  BLanczosTime: 5276
Thu Jul 23 15:23:31 2009  
Thu Jul 23 15:23:31 2009  commencing square root phase
Thu Jul 23 15:23:31 2009  reading relations for dependency 1
Thu Jul 23 15:23:32 2009  read 363673 cycles
Thu Jul 23 15:23:32 2009  cycles contain 1398991 unique relations
Thu Jul 23 15:23:58 2009  read 1398991 relations
Thu Jul 23 15:24:07 2009  multiplying 1130618 relations
Thu Jul 23 15:27:48 2009  multiply complete, coefficients have about 51.58 million bits
Thu Jul 23 15:27:51 2009  initial square root is modulo 25424593
Thu Jul 23 15:33:23 2009  sqrtTime: 592
Thu Jul 23 15:33:23 2009  prp44 factor: 14620629278240550652432989762103729163476871
Thu Jul 23 15:33:23 2009  prp80 factor: 81617556881746859330571187100259479960634045948609207766222314981106404568681507
Thu Jul 23 15:33:23 2009  elapsed time 01:44:23
Thu Jul 23 15:33:23 2009  total time ~ 125 hours
software ソフトウェア
GGNFS / Msieve v 1.42
execution environment 実行環境
Windows Vista 32bit / Intel Core 2 Duo T8100

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 5, 2007 09:00:00 UTC 2007 年 7 月 5 日 (木) 18 時 0 分 0 秒 (日本時間)
351e6825Wataru SakaiMarch 1, 2009 04:40:24 UTC 2009 年 3 月 1 日 (日) 13 時 40 分 24 秒 (日本時間)
403e62111Wataru SakaiMay 28, 2009 11:40:40 UTC 2009 年 5 月 28 日 (木) 20 時 40 分 40 秒 (日本時間)

5×10194-3

c140

composite cofactor 合成数の残り
35235000722141644817611171113354001904237537131048486458567401408820578016062269296584696979228063000241126565493279799717399262853944185031<140>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 5, 2007 09:00:00 UTC 2007 年 7 月 5 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61800300Dmitry DomanovMay 16, 2011 05:58:20 UTC 2011 年 5 月 16 日 (月) 14 時 58 分 20 秒 (日本時間)
1500Dmitry DomanovSeptember 27, 2013 13:31:04 UTC 2013 年 9 月 27 日 (金) 22 時 31 分 4 秒 (日本時間)
4511e61500 / 4081Dmitry DomanovNovember 5, 2013 13:12:50 UTC 2013 年 11 月 5 日 (火) 22 時 12 分 50 秒 (日本時間)

5×10195-3

c141

name 名前Dmitry Domanov
date 日付November 7, 2013 05:39:18 UTC 2013 年 11 月 7 日 (木) 14 時 39 分 18 秒 (日本時間)
composite number 合成数
532161860158434752551024901141919991498453509131338891506291015306253538811865549424248604830835271338238311297285231165006529147307826174761<141>
prime factors 素因数
46193865520509883656902099943016945593331<41>
11520184642745628330720272408605081786728595956306215778680537224716396806777677739451993392990236531<101>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4044658704
Step 1 took 75289ms
********** Factor found in step 1: 46193865520509883656902099943016945593331
Found probable prime factor of 41 digits: 46193865520509883656902099943016945593331

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 5, 2007 09:00:00 UTC 2007 年 7 月 5 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61800300Dmitry DomanovMay 16, 2011 05:58:27 UTC 2011 年 5 月 16 日 (月) 14 時 58 分 27 秒 (日本時間)
1500Dmitry DomanovSeptember 27, 2013 13:31:15 UTC 2013 年 9 月 27 日 (金) 22 時 31 分 15 秒 (日本時間)
4511e61500 / 4081Dmitry DomanovNovember 5, 2013 13:12:36 UTC 2013 年 11 月 5 日 (火) 22 時 12 分 36 秒 (日本時間)

5×10197-3

c151

composite cofactor 合成数の残り
1541806929998682523160478981410652271079552405474343342292267678979208342444858008054816206985338400888373746631927648636068155770020170950112204577233<151>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJuly 5, 2007 09:00:00 UTC 2007 年 7 月 5 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61800300Dmitry DomanovMay 16, 2011 05:58:43 UTC 2011 年 5 月 16 日 (月) 14 時 58 分 43 秒 (日本時間)
1500Dmitry DomanovSeptember 27, 2013 13:31:27 UTC 2013 年 9 月 27 日 (金) 22 時 31 分 27 秒 (日本時間)
4511e61500 / 4081Dmitry DomanovOctober 29, 2013 13:19:04 UTC 2013 年 10 月 29 日 (火) 22 時 19 分 4 秒 (日本時間)

5×10199-3

c167

name 名前Serge Batalov
date 日付July 13, 2008 19:00:00 UTC 2008 年 7 月 14 日 (月) 4 時 0 分 0 秒 (日本時間)
composite number 合成数
13184237189848855984712596174518590257101801240154017908662424406126496971431039821206917455424262125944099136235975872896286878680939368479698397138083426518266675949<167>
prime factors 素因数
8093176768651631185069802113901<31>
1629055878393401770330660883294105510464026569183051106513390639156296434054875594593755637398223572917720059576936252313923440973374849<136>
factorization results 素因数分解の結果
Using B1=1000000, B2=5704990210, polynomial Dickson(6), sigma=2930831738
Step 1 took 8084ms
Step 2 took 9120ms
********** Factor found in step 2: 8093176768651631185069802113901
Found probable prime factor of 31 digits: 8093176768651631185069802113901
Probable prime cofactor 1629055878393401770330660883294105510464026569183051106513390639156296434054875594593755637398223572917720059576936252313923440973374849 has 136 digits
software ソフトウェア
GMP-ECM 6.2.1

5×10200-3

c189

name 名前matsui
date 日付November 15, 2011 07:53:29 UTC 2011 年 11 月 15 日 (火) 16 時 53 分 29 秒 (日本時間)
composite number 合成数
209113344682883416010178984753917410669646190574378842796991551638896432659850090587149802402329366667569233501684706143345454668990588291297656015602876150588326812914417313832713538858711<189>
prime factors 素因数
50794360261631667852636062096828082385172365922016212519<56>
11253965251335513782225607622598562629545857352525134299837<59>
365814304435674529471462671041837150304257491479682728893759284330567273637<75>
factorization results 素因数分解の結果
N=209113344682883416010178984753917410669646190574378842796991551638896432659850090587149802402329366667569233501684706143345454668990588291297656015602876150588326812914417313832713538858711
  ( 189 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=50794360261631667852636062096828082385172365922016212519 (pp56)
 r2=11253965251335513782225607622598562629545857352525134299837 (pp59)
 r3=365814304435674529471462671041837150304257491479682728893759284330567273637 (pp75)
Version: Msieve v. 1.50
Total time:
Scaled time: 33.60 units (timescale=0.463).
Factorization parameters were as follows:
n: 209113344682883416010178984753917410669646190574378842796991551638896432659850090587149802402329366667569233501684706143345454668990588291297656015602876150588326812914417313832713538858711
m: 10000000000000000000000000000000000000000
deg: 5
c5: 5
c0: -3
skew: 0.90
type: snfs
lss: 1
rlim: 15500000
alim: 15500000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 160000
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, 14630001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2944104 x 2944333
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 KamadaJuly 5, 2007 09:00:00 UTC 2007 年 7 月 5 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovMay 16, 2011 05:58:50 UTC 2011 年 5 月 16 日 (月) 14 時 58 分 50 秒 (日本時間)

5×10201-3

c147

composite cofactor 合成数の残り
141381107734699460482645525047234343402455436886104410158542810187290363501879458352747012373776715372647663664098720598754559365658685836530233597<147>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 19, 2013 12:00:00 UTC 2013 年 9 月 19 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 27, 2013 13:31:37 UTC 2013 年 9 月 27 日 (金) 22 時 31 分 37 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovOctober 21, 2013 15:49:36 UTC 2013 年 10 月 22 日 (火) 0 時 49 分 36 秒 (日本時間)

5×10202-3

c187

composite cofactor 合成数の残り
4980308665769802964572442482381836522803344772244673831913859524548924373774224231261062164505948416714892009875657175052233442405784267304839997547281813903027033488251608936725554132851<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 19, 2013 12:00:00 UTC 2013 年 9 月 19 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 27, 2013 13:31:47 UTC 2013 年 9 月 27 日 (金) 22 時 31 分 47 秒 (日本時間)
4511e61000 / 4143Dmitry DomanovDecember 11, 2013 13:41:03 UTC 2013 年 12 月 11 日 (水) 22 時 41 分 3 秒 (日本時間)

5×10204-3

c186

composite cofactor 合成数の残り
259815785760058690773959581613414571979699743831055330960986390206032760993281721908563459965009815299427427748461353713181376586001094969327643132870622960601431276648428400028481852611<186>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 19, 2013 12:00:00 UTC 2013 年 9 月 19 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 27, 2013 13:32:32 UTC 2013 年 9 月 27 日 (金) 22 時 32 分 32 秒 (日本時間)
4511e61000 / 4143Dmitry DomanovDecember 11, 2013 13:41:14 UTC 2013 年 12 月 11 日 (水) 22 時 41 分 14 秒 (日本時間)

5×10209-3

c162

composite cofactor 合成数の残り
470217076899004466689983705715906357139602829879380441128399517449842627428012334003357804575831803501180356001689564236974288938959822115116113040335360344842033<162>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 19, 2013 12:00:00 UTC 2013 年 9 月 19 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 27, 2013 13:32:43 UTC 2013 年 9 月 27 日 (金) 22 時 32 分 43 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovOctober 21, 2013 15:50:00 UTC 2013 年 10 月 22 日 (火) 0 時 50 分 0 秒 (日本時間)

5×10212-3

c192

name 名前Serge Batalov
date 日付September 20, 2013 05:26:11 UTC 2013 年 9 月 20 日 (金) 14 時 26 分 11 秒 (日本時間)
composite number 合成数
117446671442358320812814253116625653174482796278714893127022677397267047255334588467636484195964406391987103649589327590978417116265712086888518457075960917900873948338425052416273013479648723<192>
prime factors 素因数
275824322513180591232208097<27>
425802446906204193846862741341500894654141949620963581852685874392451187277635367523520147888233769122665258587228890115444608869534211715845736256410561727309643059<165>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=1872252611
Step 1 took 10497ms
Step 2 took 6684ms
********** Factor found in step 2: 275824322513180591232208097
Found probable prime factor of 27 digits: 275824322513180591232208097
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 19, 2013 12:00:00 UTC 2013 年 9 月 19 日 (木) 21 時 0 分 0 秒 (日本時間)

5×10215-3

c199

name 名前Dmitry Domanov
date 日付December 12, 2013 05:11:48 UTC 2013 年 12 月 12 日 (木) 14 時 11 分 48 秒 (日本時間)
composite number 合成数
5826201152834527558140015814863068883100549514800123951011582777297225061599235979781709440430467257700357344854815576600316720442619623529292910076349144039531596043626309216161972605761213147003911<199>
prime factors 素因数
430615950520321500493555657048908648557257<42>
composite cofactor 合成数の残り
13529924160483644689410957665995224458558012405432189142497589441839824751599964380684943769604642852289689502820530688962069375340892472532380843976481491023<158>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1164320885
Step 1 took 129520ms
Step 2 took 35853ms
********** Factor found in step 2: 430615950520321500493555657048908648557257
Found probable prime factor of 42 digits: 430615950520321500493555657048908648557257

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 19, 2013 12:00:00 UTC 2013 年 9 月 19 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 27, 2013 13:36:17 UTC 2013 年 9 月 27 日 (金) 22 時 36 分 17 秒 (日本時間)
4511e61000 / 4143Dmitry DomanovDecember 11, 2013 13:41:59 UTC 2013 年 12 月 11 日 (水) 22 時 41 分 59 秒 (日本時間)

5×10216-3

c197

composite cofactor 合成数の残り
44539259198795271328060364150208504504771337034675509121677285172105829922967212451471895565271098633099818453840899211900274426475977096290057341554319775228450307893487286356586502860921868897589<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 19, 2013 12:00:00 UTC 2013 年 9 月 19 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 27, 2013 13:36:27 UTC 2013 年 9 月 27 日 (金) 22 時 36 分 27 秒 (日本時間)
4511e61000 / 4143Dmitry DomanovDecember 11, 2013 13:42:13 UTC 2013 年 12 月 11 日 (水) 22 時 42 分 13 秒 (日本時間)

5×10217-3

c207

name 名前Dmitry Domanov
date 日付December 12, 2013 09:23:53 UTC 2013 年 12 月 12 日 (木) 18 時 23 分 53 秒 (日本時間)
composite number 合成数
435474284721863011520780526819954743231665780050501796551021095241616384039257128572814408990774811225977313908801279365074055915131555084850208967874321213343453890068602075906544093988114289749407357804989<207>
prime factors 素因数
8156642001134786897082550488072548877499<40>
composite cofactor 合成数の残り
53388917235950525693293776010697845067477494995783685474357557399567492487419126726677599311442099016245060933849799318288843691364389268712334925137823717996236097511<167>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=846214406
Step 1 took 75190ms
Step 2 took 36945ms
********** Factor found in step 2: 8156642001134786897082550488072548877499
Found probable prime factor of 40 digits: 8156642001134786897082550488072548877499

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 19, 2013 12:00:00 UTC 2013 年 9 月 19 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 27, 2013 13:36:38 UTC 2013 年 9 月 27 日 (金) 22 時 36 分 38 秒 (日本時間)
4511e61000 / 4143Dmitry DomanovDecember 11, 2013 13:42:25 UTC 2013 年 12 月 11 日 (水) 22 時 42 分 25 秒 (日本時間)

5×10218-3

c206

composite cofactor 合成数の残り
20255305358314407933716394291419898579742729121162145962850308421558458407454124716410141782165402340106560499624554617393376967314928475592232314038271827419907019539285608513282444495867179081374576361793<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 19, 2013 12:00:00 UTC 2013 年 9 月 19 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 27, 2013 13:36:47 UTC 2013 年 9 月 27 日 (金) 22 時 36 分 47 秒 (日本時間)
4511e61000 / 4143Dmitry DomanovDecember 11, 2013 13:42:40 UTC 2013 年 12 月 11 日 (水) 22 時 42 分 40 秒 (日本時間)

5×10219-3

c152

name 名前Dmitry Domanov
date 日付September 27, 2013 11:56:36 UTC 2013 年 9 月 27 日 (金) 20 時 56 分 36 秒 (日本時間)
composite number 合成数
28433490342904305383031301461776772397693977092387121840882900543603563473172560400772508099750948916337747897429192083817879125412590803138191239643019<152>
prime factors 素因数
61867242804395634279252514176212562471938227<44>
459588775158477261388235366345126962937328108289922581897113095467435093354974905697102880428790612091505097<108>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2306706339
Step 1 took 16511ms
Step 2 took 7291ms
********** Factor found in step 2: 61867242804395634279252514176212562471938227
Found probable prime factor of 44 digits: 61867242804395634279252514176212562471938227

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 19, 2013 12:00:00 UTC 2013 年 9 月 19 日 (木) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 20, 2013 13:02:13 UTC 2013 年 9 月 20 日 (金) 22 時 2 分 13 秒 (日本時間)
403e6110 / 2126Ignacio SantosSeptember 20, 2013 13:02:13 UTC 2013 年 9 月 20 日 (金) 22 時 2 分 13 秒 (日本時間)
4511e632 / 4437Ignacio SantosSeptember 20, 2013 13:02:13 UTC 2013 年 9 月 20 日 (金) 22 時 2 分 13 秒 (日本時間)

5×10221-3

c222

name 名前Serge Batalov
date 日付November 14, 2013 08:37:57 UTC 2013 年 11 月 14 日 (木) 17 時 37 分 57 秒 (日本時間)
composite number 合成数
499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997<222>
prime factors 素因数
452026009900469222633281624505347959353795491<45>
composite cofactor 合成数の残り
1106131039030462167838876802579503016508692278138524743597649815776228615180847096158787112464400523481351376180548340315836574177101255838266652855043324544962968037238034483167<178>
factorization results 素因数分解の結果
Using B1=260000000, B2=3178559884516, polynomial Dickson(30), sigma=666829191
Step 1 took 1583455ms
********** Factor found in step 1: 452026009900469222633281624505347959353795491
Found probable prime factor of 45 digits: 452026009900469222633281624505347959353795491
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 19, 2013 12:00:00 UTC 2013 年 9 月 19 日 (木) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 22, 2013 17:11:43 UTC 2013 年 9 月 23 日 (月) 2 時 11 分 43 秒 (日本時間)
403e61610110Ignacio SantosSeptember 22, 2013 17:11:43 UTC 2013 年 9 月 23 日 (月) 2 時 11 分 43 秒 (日本時間)
1500Dmitry DomanovSeptember 27, 2013 13:37:02 UTC 2013 年 9 月 27 日 (金) 22 時 37 分 2 秒 (日本時間)
4511e6238232Ignacio SantosSeptember 22, 2013 17:11:43 UTC 2013 年 9 月 23 日 (月) 2 時 11 分 43 秒 (日本時間)
1500Dmitry DomanovOctober 21, 2013 14:19:29 UTC 2013 年 10 月 21 日 (月) 23 時 19 分 29 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:15:07 UTC 2013 年 11 月 9 日 (土) 2 時 15 分 7 秒 (日本時間)
5043e60--
5511e71414 / 14478Serge BatalovNovember 14, 2013 17:11:10 UTC 2013 年 11 月 15 日 (金) 2 時 11 分 10 秒 (日本時間)
6026e71346 / 41443Serge BatalovNovember 14, 2013 17:11:10 UTC 2013 年 11 月 15 日 (金) 2 時 11 分 10 秒 (日本時間)

5×10223-3

c224

name 名前Serge Batalov
date 日付September 20, 2013 06:03:28 UTC 2013 年 9 月 20 日 (金) 15 時 3 分 28 秒 (日本時間)
composite number 合成数
49999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997<224>
prime factors 素因数
3410721524425672798723763886789769<34>
composite cofactor 合成数の残り
14659654751033782649504670509552036846200412038276725200105860693592829302214120998597926163553008636000036417508419935256858210297472853856134080469196492492264065266005120118248996262157013<191>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=1063663231
Step 1 took 14101ms
********** Factor found in step 1: 3410721524425672798723763886789769
Found probable prime factor of 34 digits: 3410721524425672798723763886789769
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 19, 2013 12:00:00 UTC 2013 年 9 月 19 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 27, 2013 13:37:12 UTC 2013 年 9 月 27 日 (金) 22 時 37 分 12 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovJanuary 6, 2014 09:21:45 UTC 2014 年 1 月 6 日 (月) 18 時 21 分 45 秒 (日本時間)

5×10224-3

c215

composite cofactor 合成数の残り
46451395695780285565772612606245038551393358894180623318850306243289033896710442973245398632672193904057348077067890757091446048030411858082712970012226344584262122525784559147131215485706615176733911808846695456457<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 19, 2013 12:00:00 UTC 2013 年 9 月 19 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 27, 2013 13:37:22 UTC 2013 年 9 月 27 日 (金) 22 時 37 分 22 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovDecember 16, 2013 09:41:41 UTC 2013 年 12 月 16 日 (月) 18 時 41 分 41 秒 (日本時間)

5×10225-3

c199

name 名前Dmitry Domanov
date 日付September 27, 2013 06:50:08 UTC 2013 年 9 月 27 日 (金) 15 時 50 分 8 秒 (日本時間)
composite number 合成数
3619381104271962382476577866522837347081267678089231518884006464122988508610060952504157949716186958484965996896811997389280789415973152620408284609563129826496038123577683620282500280799631861071749<199>
prime factors 素因数
101872157860014926669338265940361<33>
composite cofactor 合成数の残り
35528658470604345534961214319758707485661990206704644569507446764815894556499941369688795335699864927664565663825197920380745018852039835555064261107654454305084148509<167>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2858722229
Step 1 took 26629ms
********** Factor found in step 1: 101872157860014926669338265940361
Found probable prime factor of 33 digits: 101872157860014926669338265940361

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 19, 2013 12:00:00 UTC 2013 年 9 月 19 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 27, 2013 13:37:33 UTC 2013 年 9 月 27 日 (金) 22 時 37 分 33 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovOctober 21, 2013 15:50:23 UTC 2013 年 10 月 22 日 (火) 0 時 50 分 23 秒 (日本時間)

5×10227-3

c169

name 名前Dmitry Domanov
date 日付October 22, 2013 10:46:25 UTC 2013 年 10 月 22 日 (火) 19 時 46 分 25 秒 (日本時間)
composite number 合成数
2366943993108238316794535916804894224539858024759161693522622940251881859735617931473520051417224520629884312245766755742305099951487469550361206152421853253937842223181<169>
prime factors 素因数
822347242632851908941153314060430466034325571<45>
2878278019793875076320398738475474155577474855014659069157830577826362187059729626727497728966396867778778629310174056868911<124>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2996657156
Step 1 took 78159ms
Step 2 took 26242ms
********** Factor found in step 2: 822347242632851908941153314060430466034325571
Found probable prime factor of 45 digits: 822347242632851908941153314060430466034325571

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 19, 2013 12:00:00 UTC 2013 年 9 月 19 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 27, 2013 13:37:43 UTC 2013 年 9 月 27 日 (金) 22 時 37 分 43 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovOctober 21, 2013 15:50:54 UTC 2013 年 10 月 22 日 (火) 0 時 50 分 54 秒 (日本時間)

5×10228-3

c226

composite cofactor 合成数の残り
2698327037236913113869400971397733405288720992984349703184025903939557474365893146249325418240690771721532649757150566648677819751753912574203993524015110631408526713437668645439827307069616837560712358337830545062061521856449<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 19, 2013 12:00:00 UTC 2013 年 9 月 19 日 (木) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 22, 2013 18:40:41 UTC 2013 年 9 月 23 日 (月) 3 時 40 分 41 秒 (日本時間)
403e61610110Ignacio SantosSeptember 22, 2013 18:40:41 UTC 2013 年 9 月 23 日 (月) 3 時 40 分 41 秒 (日本時間)
1500Dmitry DomanovSeptember 27, 2013 13:37:55 UTC 2013 年 9 月 27 日 (金) 22 時 37 分 55 秒 (日本時間)
4511e6448232Ignacio SantosSeptember 22, 2013 18:40:41 UTC 2013 年 9 月 23 日 (月) 3 時 40 分 41 秒 (日本時間)
1500Dmitry DomanovOctober 21, 2013 14:19:10 UTC 2013 年 10 月 21 日 (月) 23 時 19 分 10 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:15:39 UTC 2013 年 11 月 9 日 (土) 2 時 15 分 39 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:28:36 UTC 2014 年 1 月 6 日 (月) 11 時 28 分 36 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:03 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 3 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:50 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 50 秒 (日本時間)

5×10231-3

c203

composite cofactor 合成数の残り
15551161715766158415050736197629784251734011050038640855093936094575297801097945839334047925685128430453321585142668063820623932028148755519280709112748070741580137012604419776566553183855963210912412069<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 19, 2013 12:00:00 UTC 2013 年 9 月 19 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 27, 2013 13:38:26 UTC 2013 年 9 月 27 日 (金) 22 時 38 分 26 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 29, 2013 15:41:54 UTC 2013 年 11 月 30 日 (土) 0 時 41 分 54 秒 (日本時間)

5×10233-3

c171

composite cofactor 合成数の残り
787356698113821630813139089116201347225149625896941597406823418704608729013689665096331717278381049341003911314581505021067210584984471159128804024002299126294771367026893<171>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 19, 2013 12:00:00 UTC 2013 年 9 月 19 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 27, 2013 13:38:36 UTC 2013 年 9 月 27 日 (金) 22 時 38 分 36 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovOctober 21, 2013 15:51:14 UTC 2013 年 10 月 22 日 (火) 0 時 51 分 14 秒 (日本時間)

5×10234-3

c224

composite cofactor 合成数の残り
34950077505256576078702802989496419676240882647908356710097452871834290152321289154636984820931355542704910833312131993042262517208385476173251492471574720956704903120626888350035771882094189602473947314727066451954689517603<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 19, 2013 12:00:00 UTC 2013 年 9 月 19 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 27, 2013 13:38:48 UTC 2013 年 9 月 27 日 (金) 22 時 38 分 48 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovOctober 21, 2013 14:18:51 UTC 2013 年 10 月 21 日 (月) 23 時 18 分 51 秒 (日本時間)

5×10235-3

c201

composite cofactor 合成数の残り
150057494876801901714957615236222730172216722263090888322060236713446143872855875742014216935932405288274993238298964982583343938040642891404400325967064061698718855732291084070212396978691654201662599<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 19, 2013 12:00:00 UTC 2013 年 9 月 19 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 27, 2013 13:38:57 UTC 2013 年 9 月 27 日 (金) 22 時 38 分 57 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovJanuary 6, 2014 09:22:26 UTC 2014 年 1 月 6 日 (月) 18 時 22 分 26 秒 (日本時間)

5×10236-3

c163

composite cofactor 合成数の残り
5282992625246720199210935863873565590335290575944164603802485559655546755675025524678677741399153603822385337231958419065982983771147819800474816242892867266078561<163>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 19, 2013 12:00:00 UTC 2013 年 9 月 19 日 (木) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 20, 2013 13:55:03 UTC 2013 年 9 月 20 日 (金) 22 時 55 分 3 秒 (日本時間)
403e61610110Ignacio SantosSeptember 20, 2013 13:55:03 UTC 2013 年 9 月 20 日 (金) 22 時 55 分 3 秒 (日本時間)
1500Dmitry DomanovSeptember 27, 2013 13:39:08 UTC 2013 年 9 月 27 日 (金) 22 時 39 分 8 秒 (日本時間)
4511e6301232Ignacio SantosSeptember 20, 2013 13:55:03 UTC 2013 年 9 月 20 日 (金) 22 時 55 分 3 秒 (日本時間)
230Ignacio SantosOctober 8, 2013 21:20:49 UTC 2013 年 10 月 9 日 (水) 6 時 20 分 49 秒 (日本時間)
1500Dmitry DomanovOctober 21, 2013 15:51:32 UTC 2013 年 10 月 22 日 (火) 0 時 51 分 32 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:13:09 UTC 2013 年 11 月 9 日 (土) 2 時 13 分 9 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:26:49 UTC 2014 年 1 月 6 日 (月) 11 時 26 分 49 秒 (日本時間)
5043e6400 / 6814Erik BrangerMarch 22, 2014 08:54:13 UTC 2014 年 3 月 22 日 (土) 17 時 54 分 13 秒 (日本時間)

5×10238-3

c213

name 名前Serge Batalov
date 日付September 20, 2013 15:18:13 UTC 2013 年 9 月 21 日 (土) 0 時 18 分 13 秒 (日本時間)
composite number 合成数
267417927550442818990808373986030958066238200030731835493609997108632326910588238549315036050200811418939789120424461299428656497744498069757857587001195153042915265406081253404753897687425700444370580910454276243<213>
prime factors 素因数
10414817638040110126424006028519617<35>
composite cofactor 合成数の残り
25676678828604653495791189801958013145159397531826949625245995945126199056638899381200442519333346459321420398135381107671325859750306035093376346556033259180422264103274141354579<179>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3991780135
Step 1 took 21309ms
Step 2 took 14689ms
********** Factor found in step 2: 10414817638040110126424006028519617
Found probable prime factor of 35 digits: 10414817638040110126424006028519617
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 19, 2013 12:00:00 UTC 2013 年 9 月 19 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 27, 2013 13:39:18 UTC 2013 年 9 月 27 日 (金) 22 時 39 分 18 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 29, 2013 15:41:23 UTC 2013 年 11 月 30 日 (土) 0 時 41 分 23 秒 (日本時間)

5×10239-3

c216

name 名前Dmitry Domanov
date 日付December 2, 2013 05:30:01 UTC 2013 年 12 月 2 日 (月) 14 時 30 分 1 秒 (日本時間)
composite number 合成数
320797332736849090365570793158183765239897577384365789541503864677355134077450158068792536417883412287690412680912453031086044587442966426792165683217010517297753222497155072546939495245552350555364467391428230838037<216>
prime factors 素因数
1051104023748520736304255332317427786466383<43>
305200365985470391162034675118981822524756765600501608582874833436344274028367866164197918580874843253075086698136500522107029900955777146365707233203949445311811872072507739<174>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=240901187
Step 1 took 125158ms
Step 2 took 46544ms
********** Factor found in step 2: 1051104023748520736304255332317427786466383
Found probable prime factor of 43 digits: 1051104023748520736304255332317427786466383

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 19, 2013 12:00:00 UTC 2013 年 9 月 19 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 27, 2013 13:39:29 UTC 2013 年 9 月 27 日 (金) 22 時 39 分 29 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 29, 2013 15:41:34 UTC 2013 年 11 月 30 日 (土) 0 時 41 分 34 秒 (日本時間)

5×10240-3

c210

name 名前Serge Batalov
date 日付September 20, 2013 15:18:46 UTC 2013 年 9 月 21 日 (土) 0 時 18 分 46 秒 (日本時間)
composite number 合成数
166887849712739873332074799633251224630565618394785980993446653954458529992514095473531426718428842575790762606901350663932751495194677651976773788853849430445350734883621065870767591389120888401338473031973321<210>
prime factors 素因数
802633549738809093327420299145539051<36>
composite cofactor 合成数の残り
207925335001319194919361682507142571121985192585295855144764090001490962969536483366655380104129497515568328318363777195973858499318274388501627431538966676659333552555615771<174>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1698229514
Step 1 took 18413ms
Step 2 took 13689ms
********** Factor found in step 2: 802633549738809093327420299145539051
Found probable prime factor of 36 digits: 802633549738809093327420299145539051
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 19, 2013 12:00:00 UTC 2013 年 9 月 19 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 27, 2013 13:39:39 UTC 2013 年 9 月 27 日 (金) 22 時 39 分 39 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovDecember 18, 2013 13:23:43 UTC 2013 年 12 月 18 日 (水) 22 時 23 分 43 秒 (日本時間)

5×10241-3

c193

name 名前Serge Batalov
date 日付September 20, 2013 06:24:30 UTC 2013 年 9 月 20 日 (金) 15 時 24 分 30 秒 (日本時間)
composite number 合成数
6254485108074905947535011917845427289387769315260939513876508761578479596904615083107507454218559674318383306407355850330380036585836070414333195577578340785619255081982783735806045200463785131<193>
prime factors 素因数
5638549400343534513421556335319<31>
1109236554297785332444709712014554930539641454750867540189848136847193802592282453820641623495764646719041232132506254611198729606498825102783112697439085588905549<163>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=464248283
Step 1 took 19185ms
Step 2 took 13469ms
********** Factor found in step 2: 5638549400343534513421556335319
Found probable prime factor of 31 digits: 5638549400343534513421556335319
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 19, 2013 12:00:00 UTC 2013 年 9 月 19 日 (木) 21 時 0 分 0 秒 (日本時間)

5×10242-3

c232

name 名前Serge Batalov
date 日付September 20, 2013 05:57:52 UTC 2013 年 9 月 20 日 (金) 14 時 57 分 52 秒 (日本時間)
composite number 合成数
1010621137847850917151608138091439973959479240585524458062360383006762373753327749227395769876525359775954786624753793072895390898561827239831650625833556349072217805961610218675387854234180654128270325558242521717424783087880712943<232>
prime factors 素因数
22436114849493420577155376199<29>
45044391358634424129294048627105417400667685174714108120412322862743089129792057134028692244234938958721174727854140134516685682148645113396374031497689647703022374042253722619540710069406155974728210457<203>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=3485673266
Step 1 took 14380ms
Step 2 took 8377ms
********** Factor found in step 2: 22436114849493420577155376199
Found probable prime factor of 29 digits: 22436114849493420577155376199
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 19, 2013 12:00:00 UTC 2013 年 9 月 19 日 (木) 21 時 0 分 0 秒 (日本時間)

5×10244-3

c145

composite cofactor 合成数の残り
2508546586747149263312408648757209374080598361246498965050013263184974419719474368004143713091876972669200720745131723685149273932049992941546977<145>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 19, 2013 12:00:00 UTC 2013 年 9 月 19 日 (木) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 20, 2013 12:15:39 UTC 2013 年 9 月 20 日 (金) 21 時 15 分 39 秒 (日本時間)
403e62122110Ignacio SantosSeptember 20, 2013 12:15:39 UTC 2013 年 9 月 20 日 (金) 21 時 15 分 39 秒 (日本時間)
512Tapio RajalaSeptember 23, 2013 19:49:51 UTC 2013 年 9 月 24 日 (火) 4 時 49 分 51 秒 (日本時間)
1500Dmitry DomanovSeptember 27, 2013 13:39:50 UTC 2013 年 9 月 27 日 (金) 22 時 39 分 50 秒 (日本時間)
4511e6400032Ignacio SantosSeptember 20, 2013 12:15:39 UTC 2013 年 9 月 20 日 (金) 21 時 15 分 39 秒 (日本時間)
230Ignacio SantosOctober 6, 2013 17:52:47 UTC 2013 年 10 月 7 日 (月) 2 時 52 分 47 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:10:05 UTC 2013 年 11 月 9 日 (土) 2 時 10 分 5 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:24:17 UTC 2014 年 1 月 6 日 (月) 11 時 24 分 17 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:58 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 58 秒 (日本時間)
688Ignacio SantosDecember 24, 2015 18:43:21 UTC 2015 年 12 月 25 日 (金) 3 時 43 分 21 秒 (日本時間)

5×10245-3

c241

composite cofactor 合成数の残り
4297267797134581832870660833841843355994258850223028198671284797125987297276391670176102034326575163511039680970838740728644727682139695581549250986222959442386530643816661366703050200682406126184971595059860940414084724931888305415416877949<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 19, 2013 12:00:00 UTC 2013 年 9 月 19 日 (木) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 22, 2013 19:30:31 UTC 2013 年 9 月 23 日 (月) 4 時 30 分 31 秒 (日本時間)
403e62122110Ignacio SantosSeptember 22, 2013 19:30:31 UTC 2013 年 9 月 23 日 (月) 4 時 30 分 31 秒 (日本時間)
512Tapio RajalaSeptember 23, 2013 19:49:30 UTC 2013 年 9 月 24 日 (火) 4 時 49 分 30 秒 (日本時間)
1500Dmitry DomanovSeptember 27, 2013 13:40:00 UTC 2013 年 9 月 27 日 (金) 22 時 40 分 0 秒 (日本時間)
4511e6238232Ignacio SantosSeptember 22, 2013 19:30:31 UTC 2013 年 9 月 23 日 (月) 4 時 30 分 31 秒 (日本時間)
1500Dmitry DomanovOctober 21, 2013 14:18:27 UTC 2013 年 10 月 21 日 (月) 23 時 18 分 27 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:17:43 UTC 2013 年 11 月 9 日 (土) 2 時 17 分 43 秒 (日本時間)
5043e6775 / 6936Serge BatalovNovember 25, 2013 02:17:48 UTC 2013 年 11 月 25 日 (月) 11 時 17 分 48 秒 (日本時間)

5×10248-3

c216

composite cofactor 合成数の残り
890661445959639839010430233749255985646323766933897319333246060652262867894444534229382048970223755430798541923011090414589645168842476288649537985697828795466819146417822962504259897142321298017093661783465579597231<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 19, 2013 12:00:00 UTC 2013 年 9 月 19 日 (木) 21 時 0 分 0 秒 (日本時間)
403e62012512Tapio RajalaSeptember 23, 2013 17:14:45 UTC 2013 年 9 月 24 日 (火) 2 時 14 分 45 秒 (日本時間)
1500Dmitry DomanovSeptember 27, 2013 13:40:11 UTC 2013 年 9 月 27 日 (金) 22 時 40 分 11 秒 (日本時間)
4511e61500 / 4030Dmitry DomanovNovember 29, 2013 15:41:03 UTC 2013 年 11 月 30 日 (土) 0 時 41 分 3 秒 (日本時間)

5×10250-3

c202

composite cofactor 合成数の残り
1047032206545066992947826172508736791784765805000761321248258061036708277812702423284143636749712703392724317442924200132903264269138354909059955760389775504550610144432599165983031383529195468506170083<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 19, 2013 12:00:00 UTC 2013 年 9 月 19 日 (木) 21 時 0 分 0 秒 (日本時間)
403e62012512Tapio RajalaSeptember 23, 2013 17:14:32 UTC 2013 年 9 月 24 日 (火) 2 時 14 分 32 秒 (日本時間)
1500Dmitry DomanovSeptember 27, 2013 12:11:16 UTC 2013 年 9 月 27 日 (金) 21 時 11 分 16 秒 (日本時間)
4511e62000Dmitry DomanovSeptember 27, 2013 12:11:16 UTC 2013 年 9 月 27 日 (金) 21 時 11 分 16 秒 (日本時間)
5043e6600 / 7028Dmitry DomanovOctober 11, 2013 11:22:12 UTC 2013 年 10 月 11 日 (金) 20 時 22 分 12 秒 (日本時間)