Table of contents 目次

8×10102+3

c86

name 名前Robert Backstrom
date 日付August 9, 2007 05:15:55 UTC 2007 年 8 月 9 日 (木) 14 時 15 分 55 秒 (日本時間)
composite number 合成数
16927920035404719454950678067803074038183144629096960489580783099151622954488347040497<86>
prime factors 素因数
73893077891192132187902179374341<32>
229086681980295270219691452305688749689507823847518717<54>
factorization results 素因数分解の結果
Thu Aug 09 14:31:54 2007  Msieve v. 1.25
Thu Aug 09 14:31:54 2007  random seeds: e58a55a8 3980cc5c
Thu Aug 09 14:31:54 2007  factoring 16927920035404719454950678067803074038183144629096960489580783099151622954488347040497 (86 digits)
Thu Aug 09 14:31:55 2007  commencing quadratic sieve (85-digit input)
Thu Aug 09 14:31:55 2007  using multiplier of 1
Thu Aug 09 14:31:55 2007  using 64kb Opteron sieve core
Thu Aug 09 14:31:55 2007  sieve interval: 7 blocks of size 65536
Thu Aug 09 14:31:55 2007  processing polynomials in batches of 15
Thu Aug 09 14:31:55 2007  using a sieve bound of 1449953 (55333 primes)
Thu Aug 09 14:31:55 2007  using large prime bound of 115996240 (26 bits)
Thu Aug 09 14:31:55 2007  using double large prime bound of 328094552866320 (41-49 bits)
Thu Aug 09 14:31:55 2007  using trial factoring cutoff of 49 bits
Thu Aug 09 14:31:55 2007  polynomial 'A' values have 11 factors
Thu Aug 09 15:12:48 2007  55692 relations (15689 full + 40003 combined from 580417 partial), need 55429
Thu Aug 09 15:12:49 2007  begin with 596106 relations
Thu Aug 09 15:12:50 2007  reduce to 132442 relations in 9 passes
Thu Aug 09 15:12:50 2007  attempting to read 132442 relations
Thu Aug 09 15:12:51 2007  recovered 132442 relations
Thu Aug 09 15:12:51 2007  recovered 111632 polynomials
Thu Aug 09 15:12:51 2007  attempting to build 55692 cycles
Thu Aug 09 15:12:52 2007  found 55691 cycles in 4 passes
Thu Aug 09 15:12:52 2007  distribution of cycle lengths:
Thu Aug 09 15:12:52 2007     length 1 : 15689
Thu Aug 09 15:12:52 2007     length 2 : 11064
Thu Aug 09 15:12:52 2007     length 3 : 9749
Thu Aug 09 15:12:52 2007     length 4 : 7447
Thu Aug 09 15:12:52 2007     length 5 : 4954
Thu Aug 09 15:12:52 2007     length 6 : 3059
Thu Aug 09 15:12:52 2007     length 7 : 1772
Thu Aug 09 15:12:52 2007     length 9+: 1957
Thu Aug 09 15:12:52 2007  largest cycle: 16 relations
Thu Aug 09 15:12:52 2007  matrix is 55333 x 55691 with weight 2873455 (avg 51.60/col)
Thu Aug 09 15:12:52 2007  filtering completed in 3 passes
Thu Aug 09 15:12:52 2007  matrix is 50648 x 50712 with weight 2633663 (avg 51.93/col)
Thu Aug 09 15:12:53 2007  saving the first 48 matrix rows for later
Thu Aug 09 15:12:53 2007  matrix is 50600 x 50712 with weight 1927165 (avg 38.00/col)
Thu Aug 09 15:12:53 2007  matrix includes 64 packed rows
Thu Aug 09 15:12:53 2007  using block size 20284 for processor cache size 512 kB
Thu Aug 09 15:12:53 2007  commencing Lanczos iteration
Thu Aug 09 15:13:14 2007  lanczos halted after 801 iterations
Thu Aug 09 15:13:14 2007  recovered 16 nontrivial dependencies
Thu Aug 09 15:13:14 2007  prp32 factor: 73893077891192132187902179374341
Thu Aug 09 15:13:14 2007  prp54 factor: 229086681980295270219691452305688749689507823847518717
Thu Aug 09 15:13:14 2007  elapsed time 00:41:20

8×10107+3

c104

name 名前Robert Backstrom
date 日付August 9, 2007 05:35:36 UTC 2007 年 8 月 9 日 (木) 14 時 35 分 36 秒 (日本時間)
composite number 合成数
41812575131970940260283280196519103120263419223331416923639784665238070349657659541106987926618930643391<104>
prime factors 素因数
4311041529493168981918983158515670589329095421550917<52>
9698949742404051679952742591797529833940595342191923<52>
factorization results 素因数分解の結果
Number: n
N=41812575131970940260283280196519103120263419223331416923639784665238070349657659541106987926618930643391
  ( 104 digits)
SNFS difficulty: 107 digits.
Divisors found:
 r1=4311041529493168981918983158515670589329095421550917 (pp52)
 r2=9698949742404051679952742591797529833940595342191923 (pp52)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 0.82 hours.
Scaled time: 0.98 units (timescale=1.196).
Factorization parameters were as follows:
name: KA_8_0_106_3
n: 41812575131970940260283280196519103120263419223331416923639784665238070349657659541106987926618930643391
type: snfs
skew: 2.45
deg: 5
c5: 25
c0: 3
m: 2000000000000000000000
rlim: 500000
alim: 500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 50000
Factor base limits: 500000/500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 150001)
Primes: RFBsize:41538, AFBsize:41527, largePrimes:3147623 encountered
Relations: rels:2766724, finalFF:215667
Max relations in full relation-set: 28
Initial matrix: 83129 x 215667 with sparse part having weight 9858859.
Pruned matrix : 43285 x 43764 with weight 1396638.
Total sieving time: 0.71 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.01 hours.
Total square root time: 0.03 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,107,5,0,0,0,0,0,0,0,0,500000,500000,28,28,48,48,2.4,2.4,50000
total time: 0.82 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

8×10108+3

c105

name 名前Robert Backstrom
date 日付August 9, 2007 05:49:59 UTC 2007 年 8 月 9 日 (木) 14 時 49 分 59 秒 (日本時間)
composite number 合成数
131585440071056137638370314324719969735348783657088343174827705314406960869779758869681069789627777686399<105>
prime factors 素因数
9958256083822556593072164658877<31>
13213703178894954610665804924839486965167161792188153823634168464500913387<74>
factorization results 素因数分解の結果
Number: n
N=131585440071056137638370314324719969735348783657088343174827705314406960869779758869681069789627777686399
  ( 105 digits)
SNFS difficulty: 108 digits.
Divisors found:
 r1=9958256083822556593072164658877 (pp31)
 r2=13213703178894954610665804924839486965167161792188153823634168464500913387 (pp74)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 0.96 hours.
Scaled time: 1.27 units (timescale=1.318).
Factorization parameters were as follows:
name: KA_8_0_107_3
n: 131585440071056137638370314324719969735348783657088343174827705314406960869779758869681069789627777686399
skew: 1.91
deg: 5
c5: 250
c0: 3
m: 2000000000000000000000
type: snfs
rlim: 600000
alim: 600000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 150001)
Primes: RFBsize:49098, AFBsize:48961, largePrimes:3846138 encountered
Relations: rels:3291694, finalFF:187322
Max relations in full relation-set: 48
Initial matrix: 98125 x 187322 with sparse part having weight 11179634.
Pruned matrix : 63307 x 63861 with weight 2245348.
Total sieving time: 0.84 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.02 hours.
Total square root time: 0.03 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,108,5,0,0,0,0,0,0,0,0,600000,600000,28,28,48,48,2.5,2.5,50000
total time: 0.96 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

8×10116+3

c84

name 名前Robert Backstrom
date 日付August 9, 2007 05:00:32 UTC 2007 年 8 月 9 日 (木) 14 時 0 分 32 秒 (日本時間)
composite number 合成数
154804341173679230387244001472705605593917034967797099265321043659212166198643185081<84>
prime factors 素因数
47772235073471907793622686848045341<35>
3240466788618869376438883648133185467425146712141<49>
factorization results 素因数分解の結果
Thu Aug 09 14:29:32 2007  Msieve v. 1.25
Thu Aug 09 14:29:32 2007  random seeds: 96c33e48 849923a9
Thu Aug 09 14:29:32 2007  factoring 154804341173679230387244001472705605593917034967797099265321043659212166198643185081 (84 digits)
Thu Aug 09 14:29:32 2007  commencing quadratic sieve (83-digit input)
Thu Aug 09 14:29:32 2007  using multiplier of 1
Thu Aug 09 14:29:32 2007  using 64kb Opteron sieve core
Thu Aug 09 14:29:32 2007  sieve interval: 6 blocks of size 65536
Thu Aug 09 14:29:32 2007  processing polynomials in batches of 17
Thu Aug 09 14:29:32 2007  using a sieve bound of 1392701 (52970 primes)
Thu Aug 09 14:29:32 2007  using large prime bound of 121164987 (26 bits)
Thu Aug 09 14:29:32 2007  using trial factoring cutoff of 27 bits
Thu Aug 09 14:29:32 2007  polynomial 'A' values have 11 factors
Thu Aug 09 14:55:43 2007  53067 relations (26868 full + 26199 combined from 280831 partial), need 53066
Thu Aug 09 14:55:44 2007  begin with 307699 relations
Thu Aug 09 14:55:44 2007  reduce to 75934 relations in 2 passes
Thu Aug 09 14:55:44 2007  attempting to read 75934 relations
Thu Aug 09 14:55:45 2007  recovered 75934 relations
Thu Aug 09 14:55:45 2007  recovered 69763 polynomials
Thu Aug 09 14:55:45 2007  attempting to build 53067 cycles
Thu Aug 09 14:55:45 2007  found 53067 cycles in 1 passes
Thu Aug 09 14:55:45 2007  distribution of cycle lengths:
Thu Aug 09 14:55:45 2007     length 1 : 26868
Thu Aug 09 14:55:45 2007     length 2 : 26199
Thu Aug 09 14:55:45 2007  largest cycle: 2 relations
Thu Aug 09 14:55:45 2007  matrix is 52970 x 53067 with weight 1684778 (avg 31.75/col)
Thu Aug 09 14:55:45 2007  filtering completed in 4 passes
Thu Aug 09 14:55:45 2007  matrix is 46050 x 46114 with weight 1439023 (avg 31.21/col)
Thu Aug 09 14:55:46 2007  saving the first 48 matrix rows for later
Thu Aug 09 14:55:46 2007  matrix is 46002 x 46114 with weight 1048370 (avg 22.73/col)
Thu Aug 09 14:55:46 2007  matrix includes 64 packed rows
Thu Aug 09 14:55:46 2007  commencing Lanczos iteration
Thu Aug 09 14:56:38 2007  lanczos halted after 729 iterations
Thu Aug 09 14:56:38 2007  recovered 9 nontrivial dependencies
Thu Aug 09 14:56:38 2007  prp35 factor: 47772235073471907793622686848045341
Thu Aug 09 14:56:38 2007  prp49 factor: 3240466788618869376438883648133185467425146712141
Thu Aug 09 14:56:38 2007  elapsed time 00:27:06

8×10117+3

c104

name 名前Robert Backstrom
date 日付August 9, 2007 06:19:50 UTC 2007 年 8 月 9 日 (木) 15 時 19 分 50 秒 (日本時間)
composite number 合成数
59040570097529187032128911277836039384013278371200389290158971364162462588485899647445468362305596316593<104>
prime factors 素因数
743563094142647141671434594596447952314537<42>
79402233062151798302517520827673963545042250342272076178284489<62>
factorization results 素因数分解の結果
Number: n
N=59040570097529187032128911277836039384013278371200389290158971364162462588485899647445468362305596316593
  ( 104 digits)
SNFS difficulty: 117 digits.
Divisors found:
 r1=743563094142647141671434594596447952314537 (pp42)
 r2=79402233062151798302517520827673963545042250342272076178284489 (pp62)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 1.14 hours.
Scaled time: 1.64 units (timescale=1.443).
Factorization parameters were as follows:
name: KA_8_0_116_3
n: 59040570097529187032128911277836039384013278371200389290158971364162462588485899647445468362305596316593
skew: 1.00
deg: 5
c5: 25
c0: 3
m: 200000000000000000000000
type: snfs
rlim: 800000
alim: 800000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 200001)
Primes: RFBsize:63951, AFBsize:63918, largePrimes:4177926 encountered
Relations: rels:3612878, finalFF:208283
Max relations in full relation-set: 28
Initial matrix: 127933 x 208283 with sparse part having weight 10962041.
Pruned matrix : 86287 x 86990 with weight 3088440.
Total sieving time: 1.00 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.05 hours.
Total square root time: 0.02 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,117,5,0,0,0,0,0,0,0,0,800000,800000,28,28,48,48,2.5,2.5,50000
total time: 1.14 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

8×10126+3

c117

name 名前Robert Backstrom
date 日付August 9, 2007 07:34:31 UTC 2007 年 8 月 9 日 (木) 16 時 34 分 31 秒 (日本時間)
composite number 合成数
517533026804995032345061488216330006916176164718700807307201581209237696213471414277684828267532924867161658848696211<117>
prime factors 素因数
2949429481414692226044768697960391260971797<43>
175468859339115509595120669476348065354330998690902949927637469395852909063<75>
factorization results 素因数分解の結果
Number: n
N=517533026804995032345061488216330006916176164718700807307201581209237696213471414277684828267532924867161658848696211
  ( 117 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=2949429481414692226044768697960391260971797 (pp43)
 r2=175468859339115509595120669476348065354330998690902949927637469395852909063 (pp75)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 2.10 hours.
Scaled time: 2.86 units (timescale=1.363).
Factorization parameters were as follows:
name: KA_8_0_125_3
n: 517533026804995032345061488216330006916176164718700807307201581209237696213471414277684828267532924867161658848696211
skew: 1.00
deg: 5
c5: 80
c0: 3
m: 10000000000000000000000000
type: snfs
rlim: 800000
alim: 800000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 250001)
Primes: RFBsize:63951, AFBsize:63988, largePrimes:4577180 encountered
Relations: rels:3968605, finalFF:202139
Max relations in full relation-set: 28
Initial matrix: 128005 x 202139 with sparse part having weight 13983078.
Pruned matrix : 98139 x 98843 with weight 4654958.
Total sieving time: 1.87 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.11 hours.
Total square root time: 0.03 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,126,5,0,0,0,0,0,0,0,0,800000,800000,28,28,48,48,2.5,2.5,50000
total time: 2.10 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

8×10129+3

c122

name 名前Robert Backstrom
date 日付August 9, 2007 08:43:42 UTC 2007 年 8 月 9 日 (木) 17 時 43 分 42 秒 (日本時間)
composite number 合成数
22072170761768469666239173783026516686523849108802583384253601362287757765121417259381934136261701937246009840562805701117<122>
prime factors 素因数
9383621683393851037733688168129743757022677767<46>
2352201687843988988161223366148433683159763965903221828415227547320810905051<76>
factorization results 素因数分解の結果
Number: n
N=22072170761768469666239173783026516686523849108802583384253601362287757765121417259381934136261701937246009840562805701117
  ( 122 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=9383621683393851037733688168129743757022677767 (pp46)
 r2=2352201687843988988161223366148433683159763965903221828415227547320810905051 (pp76)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 2.89 hours.
Scaled time: 3.46 units (timescale=1.195).
Factorization parameters were as follows:
name: KA_8_0_128_3
n: 22072170761768469666239173783026516686523849108802583384253601362287757765121417259381934136261701937246009840562805701117
type: snfs
skew: 1.00
deg: 5
c5: 4
c0: 15
m: 100000000000000000000000000
rlim: 1000000
alim: 1000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 50000
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 450001)
Primes: RFBsize:78498, AFBsize:78411, largePrimes:3620998 encountered
Relations: rels:2967951, finalFF:178355
Max relations in full relation-set: 28
Initial matrix: 156973 x 178355 with sparse part having weight 5919463.
Pruned matrix : 130863 x 131711 with weight 3517685.
Total sieving time: 2.62 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.16 hours.
Total square root time: 0.02 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,130,5,0,0,0,0,0,0,0,0,1000000,1000000,28,28,48,48,2.2,2.2,50000
total time: 2.89 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

8×10130+3

c104

name 名前Robert Backstrom
date 日付August 9, 2007 08:19:42 UTC 2007 年 8 月 9 日 (木) 17 時 19 分 42 秒 (日本時間)
composite number 合成数
11793676403132109337177444136713268893806641945749404632686412140850069050669393720927990575945503427899<104>
prime factors 素因数
15660751854468820254646065544043536489389591847<47>
753072171293408570603918263199513415256851689104201069517<57>
factorization results 素因数分解の結果
Number: n
N=11793676403132109337177444136713268893806641945749404632686412140850069050669393720927990575945503427899
  ( 104 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=15660751854468820254646065544043536489389591847 (pp47)
 r2=753072171293408570603918263199513415256851689104201069517 (pp57)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 2.27 hours.
Scaled time: 2.96 units (timescale=1.305).
Factorization parameters were as follows:
name: KA_8_0_129_3
n: 11793676403132109337177444136713268893806641945749404632686412140850069050669393720927990575945503427899
skew: 1.00
deg: 5
c5: 8
c0: 3
m: 100000000000000000000000000
type: snfs
rlim: 1000000
alim: 1000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 300001)
Primes: RFBsize:78498, AFBsize:78246, largePrimes:4755487 encountered
Relations: rels:4123226, finalFF:215781
Max relations in full relation-set: 48
Initial matrix: 156809 x 215781 with sparse part having weight 16140594.
Pruned matrix : 127889 x 128737 with weight 6317106.
Total sieving time: 1.93 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.20 hours.
Total square root time: 0.04 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,130,5,0,0,0,0,0,0,0,0,1000000,1000000,28,28,48,48,2.5,2.5,50000
total time: 2.27 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

8×10131+3

c124

name 名前Robert Backstrom
date 日付August 9, 2007 09:12:51 UTC 2007 年 8 月 9 日 (木) 18 時 12 分 51 秒 (日本時間)
composite number 合成数
1390723574405466150002891922752752766517296638572619177330924811028871850790561074961733849709228297345315740432104733417561<124>
prime factors 素因数
140515311157889484872449865329<30>
9897309858587474462533808559524778559507284816320764852168510088136599686173598612238548962409<94>
factorization results 素因数分解の結果
Number: n
N=1390723574405466150002891922752752766517296638572619177330924811028871850790561074961733849709228297345315740432104733417561
  ( 124 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=140515311157889484872449865329 (pp30)
 r2=9897309858587474462533808559524778559507284816320764852168510088136599686173598612238548962409 (pp94)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 2.46 hours.
Scaled time: 3.56 units (timescale=1.446).
Factorization parameters were as follows:
name: KA_8_0_130_3
n: 1390723574405466150002891922752752766517296638572619177330924811028871850790561074961733849709228297345315740432104733417561
skew: 1.00
deg: 5
c5: 80
c0: 3
m: 100000000000000000000000000
type: snfs
rlim: 1000000
alim: 1000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 350001)
Primes: RFBsize:78498, AFBsize:78611, largePrimes:4642958 encountered
Relations: rels:3975934, finalFF:178377
Max relations in full relation-set: 28
Initial matrix: 157175 x 178377 with sparse part having weight 11167450.
Pruned matrix : 144022 x 144871 with weight 7345153.
Total sieving time: 2.06 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.26 hours.
Total square root time: 0.05 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,1000000,1000000,28,28,48,48,2.5,2.5,50000
total time: 2.46 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

8×10132+3

c119

name 名前Robert Backstrom
date 日付August 9, 2007 10:34:45 UTC 2007 年 8 月 9 日 (木) 19 時 34 分 45 秒 (日本時間)
composite number 合成数
23810977449432183899061928385609941180131057745684131742392932620719752663657136531720801972378829641765634246765578923<119>
prime factors 素因数
59137933926855043059088194258782854822196623669244767645811<59>
402634584408763303069783264206996096355933083613814946383593<60>
factorization results 素因数分解の結果
Number: n
N=23810977449432183899061928385609941180131057745684131742392932620719752663657136531720801972378829641765634246765578923
  ( 119 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=59137933926855043059088194258782854822196623669244767645811 (pp59)
 r2=402634584408763303069783264206996096355933083613814946383593 (pp60)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 2.77 hours.
Scaled time: 3.78 units (timescale=1.364).
Factorization parameters were as follows:
name: KA_8_0_131_3
n: 23810977449432183899061928385609941180131057745684131742392932620719752663657136531720801972378829641765634246765578923
skew: 1.00
deg: 5
c5: 25
c0: 3
m: 200000000000000000000000000
type: snfs
rlim: 1000000
alim: 1000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 350001)
Primes: RFBsize:78498, AFBsize:78411, largePrimes:4990879 encountered
Relations: rels:4353452, finalFF:209067
Max relations in full relation-set: 28
Initial matrix: 156973 x 209067 with sparse part having weight 14999686.
Pruned matrix : 132523 x 133371 with weight 7082557.
Total sieving time: 2.37 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.26 hours.
Total square root time: 0.04 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,132,5,0,0,0,0,0,0,0,0,1000000,1000000,28,28,48,48,2.5,2.5,50000
total time: 2.77 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

8×10134+3

c116

name 名前Robert Backstrom
date 日付August 9, 2007 11:45:12 UTC 2007 年 8 月 9 日 (木) 20 時 45 分 12 秒 (日本時間)
composite number 合成数
17473929134257721901626949367676531901183471917932969856802783667946806325413661744285936035329994212640218521898103<116>
prime factors 素因数
99025999314875960050767509377639719951680928982163689<53>
176457993407320655445898143590093815879839497274040644855506527<63>
factorization results 素因数分解の結果
Number: n
N=17473929134257721901626949367676531901183471917932969856802783667946806325413661744285936035329994212640218521898103
  ( 116 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=99025999314875960050767509377639719951680928982163689 (pp53)
 r2=176457993407320655445898143590093815879839497274040644855506527 (pp63)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 3.16 hours.
Scaled time: 4.11 units (timescale=1.301).
Factorization parameters were as follows:
name: KA_8_0_133_3
n: 17473929134257721901626949367676531901183471917932969856802783667946806325413661744285936035329994212640218521898103
skew: 1.00
deg: 5
c5: 4
c0: 15
m: 1000000000000000000000000000
type: snfs
rlim: 1200000
alim: 1200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 400001)
Primes: RFBsize:92938, AFBsize:92529, largePrimes:4943597 encountered
Relations: rels:4272145, finalFF:210944
Max relations in full relation-set: 48
Initial matrix: 185531 x 210944 with sparse part having weight 15009718.
Pruned matrix : 169069 x 170060 with weight 9148254.
Total sieving time: 2.53 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.44 hours.
Total square root time: 0.09 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,135,5,0,0,0,0,0,0,0,0,1200000,1200000,28,28,48,48,2.5,2.5,75000
total time: 3.16 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

8×10135+3

c111

name 名前Robert Backstrom
date 日付August 9, 2007 12:37:55 UTC 2007 年 8 月 9 日 (木) 21 時 37 分 55 秒 (日本時間)
composite number 合成数
332310554892288926436831772045323636037576637237580462259403763467341105224779770796417611307390273406570736201<111>
prime factors 素因数
671518907669361327306106053768429944141723<42>
494864033010832382214144161118931762517426636975925163439107088158187<69>
factorization results 素因数分解の結果
Number: n
N=332310554892288926436831772045323636037576637237580462259403763467341105224779770796417611307390273406570736201
  ( 111 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=671518907669361327306106053768429944141723 (pp42)
 r2=494864033010832382214144161118931762517426636975925163439107088158187 (pp69)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 3.65 hours.
Scaled time: 2.39 units (timescale=0.654).
Factorization parameters were as follows:
name: KA_8_0_134_3
n: 332310554892288926436831772045323636037576637237580462259403763467341105224779770796417611307390273406570736201
type: snfs
skew: 1.00
deg: 5
c5: 8
c0: 3
m: 1000000000000000000000000000
rlim: 1200000
alim: 1200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 50000
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 550001)
Primes: RFBsize:92938, AFBsize:92739, largePrimes:4242280 encountered
Relations: rels:3637701, finalFF:220619
Max relations in full relation-set: 28
Initial matrix: 185742 x 220619 with sparse part having weight 11033317.
Pruned matrix : 156303 x 157295 with weight 6162049.
Total sieving time: 3.16 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.34 hours.
Total square root time: 0.03 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,135,5,0,0,0,0,0,0,0,0,1200000,1200000,28,28,48,48,2.3,2.3,75000
total time: 3.65 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

8×10136+3

c120

name 名前Robert Backstrom
date 日付August 9, 2007 12:25:43 UTC 2007 年 8 月 9 日 (木) 21 時 25 分 43 秒 (日本時間)
composite number 合成数
601702280575805267699515045826589007810490254765282153660216860433071030113676661720770461574543961771608356536518619523<120>
prime factors 素因数
143530513309195232999340064204983398299225538897530547<54>
4192155846886791687644896239201840126733252957278980362790474381809<67>
factorization results 素因数分解の結果
Number: n
N=601702280575805267699515045826589007810490254765282153660216860433071030113676661720770461574543961771608356536518619523
  ( 120 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=143530513309195232999340064204983398299225538897530547 (pp54)
 r2=4192155846886791687644896239201840126733252957278980362790474381809 (pp67)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 2.95 hours.
Scaled time: 4.27 units (timescale=1.446).
Factorization parameters were as follows:
name: KA_8_0_135_3
n: 601702280575805267699515045826589007810490254765282153660216860433071030113676661720770461574543961771608356536518619523
skew: 1.00
deg: 5
c5: 5
c0: 6
m: 2000000000000000000000000000
type: snfs
rlim: 1200000
alim: 1200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 450001)
Primes: RFBsize:92938, AFBsize:93119, largePrimes:5260301 encountered
Relations: rels:4633571, finalFF:246993
Max relations in full relation-set: 28
Initial matrix: 186122 x 246993 with sparse part having weight 17116585.
Pruned matrix : 152676 x 153670 with weight 8112545.
Total sieving time: 2.48 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.34 hours.
Total square root time: 0.03 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,137,5,0,0,0,0,0,0,0,0,1200000,1200000,28,28,48,48,2.5,2.5,75000
total time: 2.95 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

8×10138+3

c128

name 名前Robert Backstrom
date 日付August 9, 2007 16:24:01 UTC 2007 年 8 月 10 日 (金) 1 時 24 分 1 秒 (日本時間)
composite number 合成数
86856080845160518253064258730936858983574839513012302022899381995276333715215501484147076660404979494712817786900486579971431051<128>
prime factors 素因数
1670593388520748238821421178145481837<37>
104636458414847985111598726280566932595983083<45>
496874190989597803112505558533083407730421846981<48>
factorization results 素因数分解の結果
Number: n
N=86856080845160518253064258730936858983574839513012302022899381995276333715215501484147076660404979494712817786900486579971431051
  ( 128 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=1670593388520748238821421178145481837 (pp37)
 r2=104636458414847985111598726280566932595983083 (pp45)
 r3=496874190989597803112505558533083407730421846981 (pp48)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 5.54 hours.
Scaled time: 7.56 units (timescale=1.364).
Factorization parameters were as follows:
name: KA_8_0_137_3
n: 86856080845160518253064258730936858983574839513012302022899381995276333715215501484147076660404979494712817786900486579971431051
skew: 1.00
deg: 5
c5: 250
c0: 3
m: 2000000000000000000000000000
type: snfs
rlim: 1500000
alim: 1500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 550001)
Primes: RFBsize:114155, AFBsize:113962, largePrimes:5547105 encountered
Relations: rels:4879377, finalFF:259041
Max relations in full relation-set: 28
Initial matrix: 228183 x 259041 with sparse part having weight 16762861.
Pruned matrix : 205241 x 206445 with weight 11006091.
Total sieving time: 4.58 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.70 hours.
Total square root time: 0.11 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,138,5,0,0,0,0,0,0,0,0,1500000,1500000,28,28,48,48,2.5,2.5,75000
total time: 5.54 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

8×10142+3

c104

name 名前Sinkiti Sibata
date 日付August 11, 2007 20:51:53 UTC 2007 年 8 月 12 日 (日) 5 時 51 分 53 秒 (日本時間)
composite number 合成数
13620988856720497819323489328579752204608642469675042020812530924002228230975710728961746240569095438467<104>
prime factors 素因数
7352063485952674581275466674908134761977993<43>
1852675630827404483230700868124109595424698262269677635106219<61>
factorization results 素因数分解の結果
Number: 80003_142
N=13620988856720497819323489328579752204608642469675042020812530924002228230975710728961746240569095438467
  ( 104 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=7352063485952674581275466674908134761977993 (pp43)
 r2=1852675630827404483230700868124109595424698262269677635106219 (pp61)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 10.17 hours.
Scaled time: 6.93 units (timescale=0.682).
Factorization parameters were as follows:
name: 80003_142
n: 13620988856720497819323489328579752204608642469675042020812530924002228230975710728961746240569095438467
m: 20000000000000000000000000000
c5: 25
c0: 3
skew: 0.65
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [650000, 1550001)
Primes: RFBsize:100021, AFBsize:100163, largePrimes:2522518 encountered
Relations: rels:2425661, finalFF:224441
Max relations in full relation-set: 0
Initial matrix: 200248 x 224441 with sparse part having weight 19391779.
Pruned matrix : 193093 x 194158 with weight 13708815.
Total sieving time: 9.05 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.93 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,142,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 10.17 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

8×10144+3

c142

name 名前Robert Backstrom
date 日付August 9, 2007 21:21:06 UTC 2007 年 8 月 10 日 (金) 6 時 21 分 6 秒 (日本時間)
composite number 合成数
1064820976973246372953547184879542126979901504059629974710501796885398642353254359110874484227339278583788100625582323971782244110208971116731<142>
prime factors 素因数
393806677683834962330167370796793978219439105832001<51>
2703918032157216794192284740946405968077357310935054868472060871084932805552853385839924731<91>
factorization results 素因数分解の結果
Number: n
N=1064820976973246372953547184879542126979901504059629974710501796885398642353254359110874484227339278583788100625582323971782244110208971116731
  ( 142 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=393806677683834962330167370796793978219439105832001 (pp51)
 r2=2703918032157216794192284740946405968077357310935054868472060871084932805552853385839924731 (pp91)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 6.79 hours.
Scaled time: 8.99 units (timescale=1.324).
Factorization parameters were as follows:
name: KA_8_0_143_3
n: 1064820976973246372953547184879542126979901504059629974710501796885398642353254359110874484227339278583788100625582323971782244110208971116731
skew: 1.00
deg: 5
c5: 4
c0: 15
m: 100000000000000000000000000000
type: snfs
rlim: 1500000
alim: 1500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 850001)
Primes: RFBsize:114155, AFBsize:113727, largePrimes:6267824 encountered
Relations: rels:5579150, finalFF:297337
Max relations in full relation-set: 48
Initial matrix: 227946 x 297337 with sparse part having weight 29469240.
Pruned matrix : 198102 x 199305 with weight 14244835.
Total sieving time: 5.61 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 0.99 hours.
Total square root time: 0.04 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,145,5,0,0,0,0,0,0,0,0,1500000,1500000,28,28,48,48,2.5,2.5,100000
total time: 6.79 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

8×10145+3

c116

name 名前Robert Backstrom
date 日付August 10, 2007 17:52:10 UTC 2007 年 8 月 11 日 (土) 2 時 52 分 10 秒 (日本時間)
composite number 合成数
11230330377953647351813832317701470309443467192544987569991922681053152302088521038361975470850797594365793139996087<116>
prime factors 素因数
51046027337556414770008979411652470215926317473591<50>
220004003518038430086171786263037474229055943495226606880307715457<66>
factorization results 素因数分解の結果
Number: n
N=11230330377953647351813832317701470309443467192544987569991922681053152302088521038361975470850797594365793139996087
  ( 116 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=51046027337556414770008979411652470215926317473591 (pp50)
 r2=220004003518038430086171786263037474229055943495226606880307715457 (pp66)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 7.75 hours.
Scaled time: 9.76 units (timescale=1.260).
Factorization parameters were as follows:
name: KA_8_0_144_3
n: 11230330377953647351813832317701470309443467192544987569991922681053152302088521038361975470850797594365793139996087
skew: 1.00
deg: 5
c5: 8
c0: 3
m: 100000000000000000000000000000
type: snfs
rlim: 2000000
alim: 2000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 900001)
Primes: RFBsize:148933, AFBsize:149135, largePrimes:6365962 encountered
Relations: rels:5765123, finalFF:372600
Max relations in full relation-set: 28
Initial matrix: 298133 x 372600 with sparse part having weight 24992928.
Pruned matrix : 240431 x 241985 with weight 13737511.
Total sieving time: 6.21 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.30 hours.
Total square root time: 0.08 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,145,5,0,0,0,0,0,0,0,0,2000000,2000000,28,28,48,48,2.5,2.5,100000
total time: 7.75 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

8×10147+3

c117

name 名前Sinkiti Sibata
date 日付August 17, 2007 08:40:20 UTC 2007 年 8 月 17 日 (金) 17 時 40 分 20 秒 (日本時間)
composite number 合成数
569547478497816335653236580096415110037272527469806007281214758971851303247684071335941951908761857655410364124489283<117>
prime factors 素因数
2323850000470988610164769082031528440943605820371041061<55>
245087883633789932212635585467307279310123198991773916587660103<63>
factorization results 素因数分解の結果
Number: 80003_147
N=569547478497816335653236580096415110037272527469806007281214758971851303247684071335941951908761857655410364124489283
  ( 117 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=2323850000470988610164769082031528440943605820371041061 (pp55)
 r2=245087883633789932212635585467307279310123198991773916587660103 (pp63)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 18.83 hours.
Scaled time: 12.86 units (timescale=0.683).
Factorization parameters were as follows:
name: 80003_147
n: 569547478497816335653236580096415110037272527469806007281214758971851303247684071335941951908761857655410364124489283
m: 200000000000000000000000000000
c5: 25
c0: 3
skew: 0.65
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, 2450001)
Primes: RFBsize:114155, AFBsize:114287, largePrimes:2708471 encountered
Relations: rels:2648929, finalFF:256730
Max relations in full relation-set: 0
Initial matrix: 228506 x 256730 with sparse part having weight 24970341.
Pruned matrix : 219964 x 221170 with weight 19140475.
Total sieving time: 17.03 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.55 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,147,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 18.83 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

8×10148+3

c137

name 名前Robert Backstrom
date 日付August 16, 2007 08:23:45 UTC 2007 年 8 月 16 日 (木) 17 時 23 分 45 秒 (日本時間)
composite number 合成数
16784066938386863809673549107097123019053594081024750091689098181846065843165170875752881062581853809077533297118793759110758492866148143<137>
prime factors 素因数
1633127480251888041774589540737718105895353<43>
10277254618113551226936717541671467485926625997768564715394439356053800695383219974495822267431<95>
factorization results 素因数分解の結果
Number: n
N=16784066938386863809673549107097123019053594081024750091689098181846065843165170875752881062581853809077533297118793759110758492866148143
  ( 137 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=1633127480251888041774589540737718105895353 (pp43)
 r2=10277254618113551226936717541671467485926625997768564715394439356053800695383219974495822267431 (pp95)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 17.86 hours.
Scaled time: 21.39 units (timescale=1.198).
Factorization parameters were as follows:
name: KA_8_0_147_3
n: 16784066938386863809673549107097123019053594081024750091689098181846065843165170875752881062581853809077533297118793759110758492866148143
type: snfs
skew: 1.00
deg: 5
c5: 2
c0: 75
m: 1000000000000000000000000000000
rlim: 1800000
alim: 1800000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 50000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 800001)
Primes: RFBsize:135072, AFBsize:134848, largePrimes:5661412 encountered
Relations: rels:5066697, finalFF:360387
Max relations in full relation-set: 28
Initial matrix: 269985 x 360387 with sparse part having weight 21720490.
Pruned matrix : 199413 x 200826 with weight 10892762.
Total sieving time: 16.73 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 0.86 hours.
Total square root time: 0.10 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,1800000,1800000,28,28,48,48,2.3,2.3,100000
total time: 17.86 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

8×10150+3

c135

name 名前Robert Backstrom
date 日付August 13, 2007 01:49:00 UTC 2007 年 8 月 13 日 (月) 10 時 49 分 0 秒 (日本時間)
composite number 合成数
198041868588259539803544224019989437375283062870153485808447332705304657558186289935035160659072536263589755720823920126704382391007601<135>
prime factors 素因数
123915190735934296426572399348483454050629019309155367871597523<63>
1598204928807240823149342852972588765245266509250337333568977262671359787<73>
factorization results 素因数分解の結果
Number: n
N=198041868588259539803544224019989437375283062870153485808447332705304657558186289935035160659072536263589755720823920126704382391007601
  ( 135 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=123915190735934296426572399348483454050629019309155367871597523 (pp63)
 r2=1598204928807240823149342852972588765245266509250337333568977262671359787 (pp73)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 16.97 hours.
Scaled time: 20.32 units (timescale=1.197).
Factorization parameters were as follows:
name: KA_8_0_149_3
n: 198041868588259539803544224019989437375283062870153485808447332705304657558186289935035160659072536263589755720823920126704382391007601
type: snfs
skew: 1.00
deg: 5
c5: 8
c0: 3
m: 1000000000000000000000000000000
rlim: 1800000
alim: 1800000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 50000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 800001)
Primes: RFBsize:135072, AFBsize:135053, largePrimes:5515066 encountered
Relations: rels:4864048, finalFF:313876
Max relations in full relation-set: 28
Initial matrix: 270190 x 313876 with sparse part having weight 18476130.
Pruned matrix : 235766 x 237180 with weight 11424414.
Total sieving time: 15.58 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.12 hours.
Total square root time: 0.10 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,1800000,1800000,28,28,48,48,2.3,2.3,100000
total time: 16.97 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

8×10153+3

c146

name 名前Robert Backstrom
date 日付August 10, 2007 19:02:30 UTC 2007 年 8 月 11 日 (土) 4 時 2 分 30 秒 (日本時間)
composite number 合成数
53704008784740644981520484142176234524761914856979746560176003073910054820985037452269471329883311728322482583806733611354063944463717843541573693<146>
prime factors 素因数
1902048496423825078608398414836733249964757502655492013897910231644363411<73>
28234826233775491249880369404044758618051858710202572340818371819411450863<74>
factorization results 素因数分解の結果
Number: n
N=53704008784740644981520484142176234524761914856979746560176003073910054820985037452269471329883311728322482583806733611354063944463717843541573693
  ( 146 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=1902048496423825078608398414836733249964757502655492013897910231644363411 (pp73)
 r2=28234826233775491249880369404044758618051858710202572340818371819411450863 (pp74)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 26.88 hours.
Scaled time: 32.17 units (timescale=1.197).
Factorization parameters were as follows:
name: KA_8_0_152_3
n: 53704008784740644981520484142176234524761914856979746560176003073910054820985037452269471329883311728322482583806733611354063944463717843541573693
type: snfs
skew: 1.00
deg: 5
c5: 250
c0: 3
m: 2000000000000000000000000000000
rlim: 1800000
alim: 1800000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 50000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 1200000)
Primes: RFBsize:135072, AFBsize:134848, largePrimes:5889592 encountered
Relations: rels:5236925, finalFF:309112
Max relations in full relation-set: 28
Initial matrix: 269986 x 309112 with sparse part having weight 23758236.
Pruned matrix : 245541 x 246954 with weight 16261877.
Total sieving time: 24.71 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 1.63 hours.
Total square root time: 0.34 hours, sqrts: 5.
Prototype def-par.txt line would be:
snfs,153,5,0,0,0,0,0,0,0,0,1800000,1800000,28,28,48,48,2.3,2.3,100000
total time: 26.88 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

8×10154+3

c151

name 名前Robert Backstrom
date 日付August 10, 2007 07:08:35 UTC 2007 年 8 月 10 日 (金) 16 時 8 分 35 秒 (日本時間)
composite number 合成数
2033191857066612448217144890334714209469591074287747477571352326733931430604620428495183876788573461763285638041019645716318906142780898162502859176049<151>
prime factors 素因数
6763250917489964555182738767583283902011275699423252245547421266789261<70>
300623454884502196692218573721100636698457518684754797248879483662802680386190709<81>
factorization results 素因数分解の結果
Number: n
N=2033191857066612448217144890334714209469591074287747477571352326733931430604620428495183876788573461763285638041019645716318906142780898162502859176049
  ( 151 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=6763250917489964555182738767583283902011275699423252245547421266789261 (pp70)
 r2=300623454884502196692218573721100636698457518684754797248879483662802680386190709 (pp81)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 17.23 hours.
Scaled time: 24.95 units (timescale=1.448).
Factorization parameters were as follows:
name: KA_8_0_153_3
n: 2033191857066612448217144890334714209469591074287747477571352326733931430604620428495183876788573461763285638041019645716318906142780898162502859176049
skew: 1.00
deg: 5
c5: 4
c0: 15
m: 10000000000000000000000000000000
type: snfs
rlim: 2000000
alim: 2000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 850001)
Primes: RFBsize:148933, AFBsize:148725, largePrimes:6495234 encountered
Relations: rels:5901096, finalFF:356866
Max relations in full relation-set: 28
Initial matrix: 297722 x 356866 with sparse part having weight 28838481.
Pruned matrix : 256532 x 258084 with weight 18263570.
Total sieving time: 15.26 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.67 hours.
Total square root time: 0.14 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,2000000,2000000,28,28,48,48,2.5,2.5,100000
total time: 17.23 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

8×10159+3

c151

name 名前Robert Backstrom
date 日付August 13, 2007 02:01:46 UTC 2007 年 8 月 13 日 (月) 11 時 1 分 46 秒 (日本時間)
composite number 合成数
7647370632133883748883439676346985948647594574867711170484935573163178215153995040284393630963460365084651885728655779192405179039901887446685387767733<151>
prime factors 素因数
153231313845746405825884701365885833226325571486615400562069271<63>
49907361884479263130985185256128895476821348429200465525031812515377456758530477125109523<89>
factorization results 素因数分解の結果
Number: n
N=7647370632133883748883439676346985948647594574867711170484935573163178215153995040284393630963460365084651885728655779192405179039901887446685387767733
  ( 151 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=153231313845746405825884701365885833226325571486615400562069271 (pp63)
 r2=49907361884479263130985185256128895476821348429200465525031812515377456758530477125109523 (pp89)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 29.43 hours.
Scaled time: 42.61 units (timescale=1.448).
Factorization parameters were as follows:
name: KA_8_0_158_3
n: 7647370632133883748883439676346985948647594574867711170484935573163178215153995040284393630963460365084651885728655779192405179039901887446685387767733
skew: 1.00
deg: 5
c5: 4
c0: 15
m: 100000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1400001)
Primes: RFBsize:216816, AFBsize:216826, largePrimes:7196792 encountered
Relations: rels:6799215, finalFF:597924
Max relations in full relation-set: 28
Initial matrix: 433706 x 597924 with sparse part having weight 41582443.
Pruned matrix : 302044 x 304276 with weight 22428346.
Total sieving time: 26.46 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 2.67 hours.
Total square root time: 0.11 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 29.43 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

8×10161+3

c126

name 名前Sinkiti Sibata
date 日付August 16, 2007 13:25:29 UTC 2007 年 8 月 16 日 (木) 22 時 25 分 29 秒 (日本時間)
composite number 合成数
457332768836732679329717365438668873227519038326297743384522304228837178049370592246469798154252278726522579730705927227790271<126>
prime factors 素因数
2631015527810085421291051911982281677569752486170207<52>
173823667706511661436246647779256732900511330139840852735400152888111969953<75>
factorization results 素因数分解の結果
Number: 80003_161
N=457332768836732679329717365438668873227519038326297743384522304228837178049370592246469798154252278726522579730705927227790271
  ( 126 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=2631015527810085421291051911982281677569752486170207 (pp52)
 r2=173823667706511661436246647779256732900511330139840852735400152888111969953 (pp75)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 65.82 hours.
Scaled time: 44.96 units (timescale=0.683).
Factorization parameters were as follows:
name: 80003_161
n: 457332768836732679329717365438668873227519038326297743384522304228837178049370592246469798154252278726522579730705927227790271
m: 200000000000000000000000000000000
c5: 5
c0: 6
skew: 1.04
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, 3750001)
Primes: RFBsize:315948, AFBsize:315696, largePrimes:5655636 encountered
Relations: rels:5780972, finalFF:715488
Max relations in full relation-set: 0
Initial matrix: 631709 x 715488 with sparse part having weight 33633166.
Pruned matrix : 558137 x 561359 with weight 23584636.
Total sieving time: 54.70 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 10.64 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,48,48,2.3,2.3,100000
total time: 65.82 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

8×10163+3

c164

name 名前Robert Backstrom
date 日付August 13, 2007 09:41:33 UTC 2007 年 8 月 13 日 (月) 18 時 41 分 33 秒 (日本時間)
composite number 合成数
80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003<164>
prime factors 素因数
263814841588028840292075635769021187187588777<45>
2946574066938041203271903376456481181720414869700453<52>
102913749296606783576701454837580698830029182185894558528664578737263<69>
factorization results 素因数分解の結果
Number: n
N=80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003
  ( 164 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=263814841588028840292075635769021187187588777 (pp45)
 r2=2946574066938041203271903376456481181720414869700453 (pp52)
 r3=102913749296606783576701454837580698830029182185894558528664578737263 (pp69)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 62.05 hours.
Scaled time: 84.20 units (timescale=1.357).
Factorization parameters were as follows:
name: KA_8_0_162_3
n: 80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003
skew: 1.00
deg: 5
c5: 2
c0: 75
m: 1000000000000000000000000000000000
type: snfs
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 2500001)
Primes: RFBsize:250150, AFBsize:249511, largePrimes:7415037 encountered
Relations: rels:6927576, finalFF:563657
Max relations in full relation-set: 28
Initial matrix: 499726 x 563657 with sparse part having weight 39806187.
Pruned matrix : 449061 x 451623 with weight 27825880.
Total sieving time: 57.09 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 4.42 hours.
Total square root time: 0.28 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 62.05 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

8×10165+3

c156

name 名前JMB
date 日付August 9, 2007 17:05:42 UTC 2007 年 8 月 10 日 (金) 2 時 5 分 42 秒 (日本時間)
composite number 合成数
201753420603774623766379746856897854259396336889384256371453150299154286407692621997171872350167027343177540726560011387515863249494107843592793109702794521<156>
prime factors 素因数
19558081525904346337653953996359<32>
composite cofactor 合成数の残り
10315603825280902403145997952176939809173663207855210896021945321896591973517956833167339304970176688502856732303629068284319<125>
factorization results 素因数分解の結果
A factor was found for 8*10^165+3 using GMP-ECM using factor method ECM
   Candidate number: 201753420603774623766379746856897854259396336889384256371453150299154286407692621997171872350167027343177540726560011387515863249494107843592793109702794521
   Factor: 19558081525904346337653953996359
   Factor Type: probable
   Factor Length: 32
   Co-Factor: 10315603825280902403145997952176939809173663207855210896021945321896591973517956833167339304970176688502856732303629068284319
   Co-Factor Type: Composite
   Co-Factor Length: 125
   B1: 1000000
   Sigma: 2461535803
   Finder: j_m_berg@yahoo.com
   Found on machine: Test2A

c125

name 名前JMB
date 日付August 14, 2007 14:35:17 UTC 2007 年 8 月 14 日 (火) 23 時 35 分 17 秒 (日本時間)
composite number 合成数
10315603825280902403145997952176939809173663207855210896021945321896591973517956833167339304970176688502856732303629068284319<125>
prime factors 素因数
1033040033209816345546009288939<31>
composite cofactor 合成数の残り
9985676734355312445998651932324904435324205513572694026740373190359859585183702210559920219421<94>
factorization results 素因数分解の結果
A factor was found for 8*10^165+3_1 using GMP-ECM using factor method ECM
   Candidate number: 10315603825280902403145997952176939809173663207855210896021945321896591973517956833167339304970176688502856732303629068284319
   Factor: 1033040033209816345546009288939
   Factor Type: probable
   Factor Length: 31
   Co-Factor: 9985676734355312445998651932324904435324205513572694026740373190359859585183702210559920219421
   Co-Factor Type: Composite
   Co-Factor Length: 94
   B1: 1000000
   Sigma: 3313357411
   Finder: j_m_berg@yahoo.com
   Found on machine: Test2A

c94

name 名前JMB
date 日付August 14, 2007 19:20:34 UTC 2007 年 8 月 15 日 (水) 4 時 20 分 34 秒 (日本時間)
composite number 合成数
9985676734355312445998651932324904435324205513572694026740373190359859585183702210559920219421<94>
prime factors 素因数
31235192130845769254279459512560137999028121<44>
319693142674609372256180538787347658839023974155301<51>
factorization results 素因数分解の結果
MSieve, version 1.25

largest cycle: 19 relations
matrix is 77647 x 78014 with weight 4993856 (avg 64.01/col)
filtering completed in 3 passes
matrix is 74091 x 74154 with weight 4756849 (avg 64.15/col)
saving the first 48 matrix rows for later
matrix is 74043 x 74154 with weight 3739324 (avg 50.43/col)
matrix includes 64 packed rows
using block size 29661 for processor cache size 1024 kB
commencing Lanczos iteration
linear algebra completed 72285 out of 74154 dimensions (97.5%)
lanczos halted after 1172 iterations
recovered 15 nontrivial dependencies
prp44 factor: 31235192130845769254279459512560137999028121
prp51 factor: 319693142674609372256180538787347658839023974155301
elapsed time 02:50:57

8×10167+3

c128

name 名前Jo Yeong Uk
date 日付July 18, 2008 09:02:47 UTC 2008 年 7 月 18 日 (金) 18 時 2 分 47 秒 (日本時間)
composite number 合成数
25054783871194560239401225829811852453817515096204346029171349857158592954195626273041212563779604664854740343106865830915425273<128>
prime factors 素因数
837436146854618446845679601742976105039316057<45>
29918440904777602878053870979485087624956432150490430623595618437356372457311766689<83>
factorization results 素因数分解の結果
GMP-ECM 6.2 [powered by GMP 4.2.2] [ECM]
Input number is 25054783871194560239401225829811852453817515096204346029171349857158592954195626273041212563779604664854740343106865830915425273 (128 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=127447873
Step 1 took 6030ms
Step 2 took 2946ms
********** Factor found in step 2: 837436146854618446845679601742976105039316057
Found probable prime factor of 45 digits: 837436146854618446845679601742976105039316057
Probable prime cofactor 29918440904777602878053870979485087624956432150490430623595618437356372457311766689 has 83 digits
execution environment 実行環境
Core 2 Quad Q6700

8×10168+3

c136

name 名前Erik Branger
date 日付November 25, 2008 19:51:31 UTC 2008 年 11 月 26 日 (水) 4 時 51 分 31 秒 (日本時間)
composite number 合成数
1441492069172462733055271981772212297398850822494070561575278242939498872337270030684777421160455311668790312909413094797598647699498951<136>
prime factors 素因数
13469805809745432155725685004278020183984235651737<50>
107016544227351834704803055140285312688017262106116130497648324056315093035478326557023<87>
factorization results 素因数分解の結果
Number: 80003_168
N=1441492069172462733055271981772212297398850822494070561575278242939498872337270030684777421160455311668790312909413094797598647699498951
  ( 136 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=13469805809745432155725685004278020183984235651737
 r2=107016544227351834704803055140285312688017262106116130497648324056315093035478326557023
Version: 
Total time: 78.19 hours.
Scaled time: 61.54 units (timescale=0.787).
Factorization parameters were as follows:
n: 1441492069172462733055271981772212297398850822494070561575278242939498872337270030684777421160455311668790312909413094797598647699498951
m: 10000000000000000000000000000000000
deg: 5
c5: 2
c0: 75
skew: 2.06
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4

Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2400000, 4400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 809243 x 809491
Total sieving time: 78.19 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,170,5,0,0,0,0,0,0,0,0,4800000,4800000,27,27,52,52,2.4,2.4,100000
total time: 78.19 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 9, 2007 09:00:00 UTC 2007 年 8 月 9 日 (木) 18 時 0 分 0 秒 (日本時間)
351e6956337Jo Yeong UkJuly 24, 2008 07:57:06 UTC 2008 年 7 月 24 日 (木) 16 時 57 分 6 秒 (日本時間)
619suberiAugust 20, 2008 07:20:56 UTC 2008 年 8 月 20 日 (水) 16 時 20 分 56 秒 (日本時間)

8×10169+3

c170

name 名前Jo Yeong Uk
date 日付August 11, 2007 18:25:59 UTC 2007 年 8 月 12 日 (日) 3 時 25 分 59 秒 (日本時間)
composite number 合成数
80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003<170>
prime factors 素因数
1224246060187948513536044665977519421<37>
65346340577741579518249257770472291479731205704109850662463019782005485937532123816920926149530479698626097812995924318713137169466943<134>
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 80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003 (170 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=605871003
Step 1 took 25617ms
Step 2 took 11451ms
********** Factor found in step 2: 1224246060187948513536044665977519421
Found probable prime factor of 37 digits: 1224246060187948513536044665977519421
Probable prime cofactor 65346340577741579518249257770472291479731205704109850662463019782005485937532123816920926149530479698626097812995924318713137169466943 has 134 digits
execution environment 実行環境
Core 2 Quad Q6600

8×10170+3

c151

name 名前JMB
date 日付August 13, 2007 20:53:00 UTC 2007 年 8 月 14 日 (火) 5 時 53 分 0 秒 (日本時間)
composite number 合成数
1215679317585890544677175049891391541030433397751888667685198072664309555436822955749588803673979222838694113576300841710152497226336321300577668274797<151>
prime factors 素因数
518810619846876503372769619770433<33>
2343204381484500438488187466170885890773141731069741607646382933532921328434754372068190854059489563670232771599467309<118>
factorization results 素因数分解の結果
A factor was found for 8*10^170+3 using GMP-ECM using factor method ECM
   Candidate number: 1215679317585890544677175049891391541030433397751888667685198072664309555436822955749588803673979222838694113576300841710152497226336321300577668274797
   Factor: 518810619846876503372769619770433
   Factor Type: probable
   Factor Length: 33
   Co-Factor: 2343204381484500438488187466170885890773141731069741607646382933532921328434754372068190854059489563670232771599467309
   Co-Factor Type: Probable
   Co-Factor Length: 118
   B1: 1000000
   Sigma: 650741743
   Finder: j_m_berg@yahoo.com
   Found on machine: RaidBox

8×10172+3

c156

name 名前JMB
date 日付August 15, 2007 14:56:16 UTC 2007 年 8 月 15 日 (水) 23 時 56 分 16 秒 (日本時間)
composite number 合成数
507634724833837798454018849002236214544561378340696150542625891269794465991315258621211622518899874100221349108808951359634044678179164432026335773740535689<156>
prime factors 素因数
14742878852145643127878371424312249<35>
composite cofactor 合成数の残り
34432537221857307847885115428554920425568029885965301615634596789076443254421769772956443274804876835533993545735639636561<122>
factorization results 素因数分解の結果
A factor was found for 8*10^172+3 using GMP-ECM using factor method ECM
   Candidate number: 507634724833837798454018849002236214544561378340696150542625891269794465991315258621211622518899874100221349108808951359634044678179164432026335773740535689
   Factor: 14742878852145643127878371424312249
   Factor Type: probable
   Factor Length: 35
   Co-Factor: 34432537221857307847885115428554920425568029885965301615634596789076443254421769772956443274804876835533993545735639636561
   Co-Factor Type: Composite
   Co-Factor Length: 122
   B1: 3000000
   Sigma: 3195193927
   Finder: j_m_berg@yahoo.com
   Found on machine: Test2A

c122

name 名前Robert Backstrom
date 日付April 23, 2008 15:06:00 UTC 2008 年 4 月 24 日 (木) 0 時 6 分 0 秒 (日本時間)
composite number 合成数
34432537221857307847885115428554920425568029885965301615634596789076443254421769772956443274804876835533993545735639636561<122>
prime factors 素因数
14102707670245966200868549502313038790457<41>
2441555056445183184204788723617272663411410204503080174188931011979879367292787673<82>
factorization results 素因数分解の結果
GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 34432537221857307847885115428554920425568029885965301615634596789076443254421769772956443274804876835533993545735639636561 (122 digits)
Using B1=2302000, B2=2754130537, polynomial Dickson(6), sigma=733154304
Step 1 took 27219ms
Step 2 took 14781ms
********** Factor found in step 2: 14102707670245966200868549502313038790457
Found probable prime factor of 41 digits: 14102707670245966200868549502313038790457
Probable prime cofactor 2441555056445183184204788723617272663411410204503080174188931011979879367292787673 has 82 digits

8×10173+3

c139

name 名前Markus Tervooren
date 日付April 21, 2011 08:24:46 UTC 2011 年 4 月 21 日 (木) 17 時 24 分 46 秒 (日本時間)
composite number 合成数
5078414167660249712387604108103770106232569588807573760842807059492552797592615923563863371986917242189753154173080121449260817395309242191<139>
prime factors 素因数
605286136297580386697019909685997659989184662614889822728933<60>
8390104882831017059551806967313117034601771718718344939080921989027231408917027<79>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 4.3.2 and --enable-asm-redc] [ECM]
Input number is 5078414167660249712387604108103770106232569588807573760842807059492552797592615923563863371986917242189753154173080121449260817395309242191 (139 digits)
Using B1=70000000, B2=582190291420, polynomial Dickson(30), sigma=2225376710
Step 1 took 162860ms
Step 2 took 70520ms
********** Factor found in step 2: 605286136297580386697019909685997659989184662614889822728933
Found probable prime factor of 60 digits: 605286136297580386697019909685997659989184662614889822728933
Probable prime cofactor 8390104882831017059551806967313117034601771718718344939080921989027231408917027 has 79 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 9, 2007 09:00:00 UTC 2007 年 8 月 9 日 (木) 18 時 0 分 0 秒 (日本時間)
351e61000Lionel DebrouxSeptember 30, 2009 19:03:58 UTC 2009 年 10 月 1 日 (木) 4 時 3 分 58 秒 (日本時間)
403e6800Ignacio SantosMay 27, 2010 22:57:13 UTC 2010 年 5 月 28 日 (金) 7 時 57 分 13 秒 (日本時間)
4511e6230 / 4031Ignacio SantosMay 27, 2010 22:57:13 UTC 2010 年 5 月 28 日 (金) 7 時 57 分 13 秒 (日本時間)
5043e664 / 7466Ignacio SantosMay 27, 2010 22:57:13 UTC 2010 年 5 月 28 日 (金) 7 時 57 分 13 秒 (日本時間)

8×10174+3

c147

name 名前Erik Branger
date 日付May 22, 2011 05:11:37 UTC 2011 年 5 月 22 日 (日) 14 時 11 分 37 秒 (日本時間)
composite number 合成数
322771910399903277511783412965868608527179674343956826500304757533948887978327882307645196978712434265037603027119954605083171829549768684013381033<147>
prime factors 素因数
58319517970184659869796570451093775131605719061637600472721<59>
5534543522203279785194526066815580052792755359139105399639480903579771606109043650904473<88>
factorization results 素因数分解の結果
Number: 80003_174
N = 322771910399903277511783412965868608527179674343956826500304757533948887978327882307645196978712434265037603027119954605083171829549768684013381033 (147 digits)
SNFS difficulty: 175 digits.
Divisors found:
r1=58319517970184659869796570451093775131605719061637600472721 (pp59)
r2=5534543522203279785194526066815580052792755359139105399639480903579771606109043650904473 (pp88)
Version: Msieve v. 1.43
Total time: 132.64 hours.
Factorization parameters were as follows:
n: 322771910399903277511783412965868608527179674343956826500304757533948887978327882307645196978712434265037603027119954605083171829549768684013381033
m: 20000000000000000000000000000000000
deg: 5
c5: 2500
c0: 3
skew: 0.26
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [2900000, 6000000)
Relations: 11239467
Relations in full relation-set: 1454710 relations
Pruned matrix : 910542 x 910767
Polynomial selection time: 0.00 hours.
Total sieving time: 126.25 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 5.50 hours.
time per square root: 0.56 hours.
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 9, 2007 09:00:00 UTC 2007 年 8 月 9 日 (木) 18 時 0 分 0 秒 (日本時間)
351e6825134juno1369March 3, 2010 02:05:00 UTC 2010 年 3 月 3 日 (水) 11 時 5 分 0 秒 (日本時間)
691Ignacio SantosMarch 12, 2010 07:12:58 UTC 2010 年 3 月 12 日 (金) 16 時 12 分 58 秒 (日本時間)
403e62300Wataru SakaiMarch 13, 2010 05:18:16 UTC 2010 年 3 月 13 日 (土) 14 時 18 分 16 秒 (日本時間)
4511e64000Wataru SakaiJuly 25, 2010 08:21:31 UTC 2010 年 7 月 25 日 (日) 17 時 21 分 31 秒 (日本時間)

8×10175+3

c151

name 名前JMB
date 日付August 10, 2007 19:05:10 UTC 2007 年 8 月 11 日 (土) 4 時 5 分 10 秒 (日本時間)
composite number 合成数
2068836358088130233627260703642446974225081564675712468168278093312353311069402751575780502444696851284284461476977914951364513637101554797666305539219<151>
prime factors 素因数
64291971599470835512165635997396471<35>
32178766751417498825847425179242872864738948414927779187900762406084025362150026649375978793241187540045915304472389<116>
factorization results 素因数分解の結果
A factor was found for 8*10^175+3 using GMP-ECM using factor method ECM
   Candidate number: 2068836358088130233627260703642446974225081564675712468168278093312353311069402751575780502444696851284284461476977914951364513637101554797666305539219
   Factor: 64291971599470835512165635997396471
   Factor Type: probable
   Factor Length: 35
   Co-Factor: 32178766751417498825847425179242872864738948414927779187900762406084025362150026649375978793241187540045915304472389
   Co-Factor Type: Probable
   Co-Factor Length: 116
   B1: 1000000
   Sigma: 3854916441
   Finder: j_m_berg@yahoo.com
   Found on machine: Test2B

8×10176+3

c141

name 名前JMB
date 日付August 10, 2007 19:00:15 UTC 2007 年 8 月 11 日 (土) 4 時 0 分 15 秒 (日本時間)
composite number 合成数
109148237471627627329037179924880387222211274513865944587177806450076775315675124949684891685687857167189305467668610598833314801447912855429<141>
prime factors 素因数
13203393905721557635469906716094551<35>
composite cofactor 合成数の残り
8266680389223966046190855264388717362005347788894913038658978035326508882118999267460085367871413111790979<106>
factorization results 素因数分解の結果
A factor was found for 8*10^176+3 using GMP-ECM using factor method ECM
   Candidate number: 109148237471627627329037179924880387222211274513865944587177806450076775315675124949684891685687857167189305467668610598833314801447912855429
   Factor: 13203393905721557635469906716094551
   Factor Type: probable
   Factor Length: 35
   Co-Factor: 8266680389223966046190855264388717362005347788894913038658978035326508882118999267460085367871413111790979
   Co-Factor Type: Composite
   Co-Factor Length: 106
   B1: 1000000
   Sigma: 265324565
   Finder: j_m_berg@yahoo.com
   Found on machine: Test2A

c106

name 名前Jo Yeong Uk
date 日付August 12, 2007 05:27:31 UTC 2007 年 8 月 12 日 (日) 14 時 27 分 31 秒 (日本時間)
composite number 合成数
8266680389223966046190855264388717362005347788894913038658978035326508882118999267460085367871413111790979<106>
prime factors 素因数
4919037198222532817308550055704182012037503<43>
1680548460217191645379213872474567141004274448100352481467434493<64>
factorization results 素因数分解の結果
Number: 80003_176
N=8266680389223966046190855264388717362005347788894913038658978035326508882118999267460085367871413111790979
  ( 106 digits)
Divisors found:
 r1=4919037198222532817308550055704182012037503 (pp43)
 r2=1680548460217191645379213872474567141004274448100352481467434493 (pp64)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 10.56 hours.
Scaled time: 22.54 units (timescale=2.135).
Factorization parameters were as follows:
name: 80003_176
n: 8266680389223966046190855264388717362005347788894913038658978035326508882118999267460085367871413111790979
skew: 8767.65
# norm 5.59e+14
c5: 116160
c4: 400128896
c3: 21447396988402
c2: 200361732810880499
c1: -1755467344504781210762
c0: 512626880120314573894360
# alpha -5.94
Y1: 2910066641
Y0: -148065849568313383617
# Murphy_E 1.51e-09
# M 3579913611478992133536848804092742505729175910292785985960854211602842315010438921637008484004440532117018
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 60000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [900000, 1440001)
Primes: RFBsize:135072, AFBsize:135363, largePrimes:4572261 encountered
Relations: rels:4637401, finalFF:384253
Max relations in full relation-set: 28
Initial matrix: 270519 x 384253 with sparse part having weight 37006164.
Pruned matrix : 210066 x 211482 with weight 18180369.
Polynomial selection time: 0.48 hours.
Total sieving time: 9.69 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.22 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,105,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,49,49,2.6,2.6,60000
total time: 10.56 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407677)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405121)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405131)
Total of 4 processors activated (19246.10 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

8×10177+3

c173

name 名前JMB
date 日付August 10, 2007 14:49:45 UTC 2007 年 8 月 10 日 (金) 23 時 49 分 45 秒 (日本時間)
composite number 合成数
20768809402040016303515380601412798259573772109046633765411105601607505847717897261892090458549350585291009961240209453442819573564420952613365248070447801491719735301524171<173>
prime factors 素因数
2734184657326888957539301452070127<34>
7595979059565388610562921211099574234745355573365762780772087213624892584821367744840306376847974198287155385422756473803526652906088908773<139>
factorization results 素因数分解の結果
A factor was found for 8*10^177+3 using GMP-ECM using factor method ECM
   Candidate number: 20768809402040016303515380601412798259573772109046633765411105601607505847717897261892090458549350585291009961240209453442819573564420952613365248070447801491719735301524171
   Factor: 2734184657326888957539301452070127
   Factor Type: probable
   Factor Length: 34
   Co-Factor: 7595979059565388610562921211099574234745355573365762780772087213624892584821367744840306376847974198287155385422756473803526652906088908773
   Co-Factor Type: Probable
   Co-Factor Length: 139
   B1: 1000000
   Sigma: 2128350113
   Finder: j_m_berg@yahoo.com
   Found on machine: Test2B

8×10178+3

c162

name 名前matsui
date 日付May 15, 2009 20:24:50 UTC 2009 年 5 月 16 日 (土) 5 時 24 分 50 秒 (日本時間)
composite number 合成数
118106538961237693228597702847944467131004093955164231095291492466633604287488596160101615398988803382502945819721906856579471463533012033849514923850146895684141<162>
prime factors 素因数
1521121596498992083430684328800554217699357191<46>
77644377170813478936009808463885244242858683928639274087657213019286395263296774458233906745544656020639399572401451<116>
factorization results 素因数分解の結果
N=118106538961237693228597702847944467131004093955164231095291492466633604287488596160101615398988803382502945819721906856579471463533012033849514923850146895684141
  ( 162 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=1521121596498992083430684328800554217699357191 (pp46)
 r2=77644377170813478936009808463885244242858683928639274087657213019286395263296774458233906745544656020639399572401451 (pp116)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 118.65 hours.
Scaled time: 259.61 units (timescale=2.188).
Factorization parameters were as follows:
n: 118106538961237693228597702847944467131004093955164231095291492466633604287488596160101615398988803382502945819721906856579471463533012033849514923850146895684141
m: 1000000000000000000000000000000000000
deg: 5
c5: 2
c0: 75
skew: 2.06
type: snfs
lss: 1
rlim: 7100000
alim: 7100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5

Factor base limits: 7100000/7100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3550000, 5250001)
Primes: RFBsize:483015, AFBsize:482366, largePrimes:17442103 encountered
Relations: rels:17732404, finalFF:1229549
Max relations in full relation-set: 32
Initial matrix: 965446 x 1229548 with sparse part having weight 148799596.
Pruned matrix : 762190 x 767081 with weight 115818416.
Total sieving time: 108.34 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 9.76 hours.
Time per square root: 0.26 hours.
Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,7100000,7100000,28,28,53,53,2.5,2.5,100000
total time: 118.65 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 9, 2007 09:00:00 UTC 2007 年 8 月 9 日 (木) 18 時 0 分 0 秒 (日本時間)

8×10179+3

c149

name 名前Wataru Sakai
date 日付June 2, 2012 08:22:46 UTC 2012 年 6 月 2 日 (土) 17 時 22 分 46 秒 (日本時間)
composite number 合成数
44422704641645354838019828754369819311769539730617619841098627846322462375966966506075706508894195236760510406647593071916451097751211699429610824651<149>
prime factors 素因数
62090197398500355626187081108200291143581512383270387942014919066205633<71>
715454395426326700595103002865314154588423636021155502764544719423503258590347<78>
factorization results 素因数分解の結果
Number: 80003_179
N=44422704641645354838019828754369819311769539730617619841098627846322462375966966506075706508894195236760510406647593071916451097751211699429610824651
  ( 149 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=62090197398500355626187081108200291143581512383270387942014919066205633
 r2=715454395426326700595103002865314154588423636021155502764544719423503258590347
Version: 
Total time: 326.02 hours.
Scaled time: 585.21 units (timescale=1.795).
Factorization parameters were as follows:
n: 44422704641645354838019828754369819311769539730617619841098627846322462375966966506075706508894195236760510406647593071916451097751211699429610824651
m: 200000000000000000000000000000000000
deg: 5
c5: 2500
c0: 3
skew: 0.26
type: snfs
lss: 1
rlim: 7000000
alim: 7000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3500000, 7200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1320379 x 1320627
Total sieving time: 326.02 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,179,5,0,0,0,0,0,0,0,0,7000000,7000000,28,28,53,53,2.5,2.5,100000
total time: 326.02 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 KamadaAugust 9, 2007 09:00:00 UTC 2007 年 8 月 9 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336300Dmitry DomanovApril 9, 2011 15:31:18 UTC 2011 年 4 月 10 日 (日) 0 時 31 分 18 秒 (日本時間)
2036Wataru SakaiMarch 28, 2012 05:13:40 UTC 2012 年 3 月 28 日 (水) 14 時 13 分 40 秒 (日本時間)

8×10180+3

c144

name 名前Kenji Ibusuki
date 日付October 8, 2013 19:19:07 UTC 2013 年 10 月 9 日 (水) 4 時 19 分 7 秒 (日本時間)
composite number 合成数
798077074490870019814933589592530611416215471014531931398466926930872807477792836399144022108346231914504813515112259796348416682854616465671019<144>
prime factors 素因数
47168122930429269185104632077539243740140053368886472724554691478585831<71>
16919839605828614941138139135134771677002119316946618577025570077600336349<74>
factorization results 素因数分解の結果
Number: 80003_180
N=798077074490870019814933589592530611416215471014531931398466926930872807477792836399144022108346231914504813515112259796348416682854616465671019
  ( 144 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=47168122930429269185104632077539243740140053368886472724554691478585831 (pp71)
 r2=16919839605828614941138139135134771677002119316946618577025570077600336349 (pp74)
Msieve version: Msieve v. 1.49 (SVN unknown)
GGNFS version: GGNFS-0.77.1-VC8(UTE)
Total time: 104.95 hours.
Scaled time: 473.83 units (timescale=4.515).
Factorization parameters were as follows:
n: 798077074490870019814933589592530611416215471014531931398466926930872807477792836399144022108346231914504813515112259796348416682854616465671019
m: 1000000000000000000000000000000000000
deg: 5
c5: 8
c0: 3
skew: 0.82
# Murphy_E = 1.459e-10
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 10000
relslim: 30000000

Polynomial score was as follows:
skew 0.82, size 2.744e-012, alpha 0.221, combined = 1.459e-010 rroots = 1 
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Sieved special-q in [3600000, 8520001)
Relations: raw-rels:23687848 rels:21670960, finalFF:1125601
Pruned matrix : 1070365 x 1070591
Total sieving time: 100.61 hours.
Total relation processing time: 1.04 hours.
Total matrix build processing time: 2.61 hours.
Matrix pruned processing time: 0.00 hours.
Matrix solve time: 0.64 hours.
Total time of square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,55,55,2.5,2.5,100000
total time: 104.95 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
Msieve v. 1.49 (SVN unknown) + GGNFS-0.77.1-VC8 with 
factMsieve.pl (decomposed + modified) snfs
execution environment 実行環境
Core i7 2600 - Windows7 64bit (7 threads used),
Core i7 4770 - Windows7 64bit (8 threads used) and
Core 2 Quad Q6600 - Windows Vista 32bit (4 threads used)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 9, 2007 09:00:00 UTC 2007 年 8 月 9 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovApril 9, 2011 15:31:27 UTC 2011 年 4 月 10 日 (日) 0 時 31 分 27 秒 (日本時間)
4511e6600 / 4237Rich DickersonJuly 11, 2012 14:27:11 UTC 2012 年 7 月 11 日 (水) 23 時 27 分 11 秒 (日本時間)
5043e650 / 7407Rich DickersonJuly 11, 2012 14:27:11 UTC 2012 年 7 月 11 日 (水) 23 時 27 分 11 秒 (日本時間)

8×10181+3

c118

name 名前JMB
date 日付September 26, 2007 13:56:25 UTC 2007 年 9 月 26 日 (水) 22 時 56 分 25 秒 (日本時間)
composite number 合成数
9764800819530466924518836952107346921926064836602594080779488507011172569982077589063765484307783295905707377627405817<118>
prime factors 素因数
147863869707137044125193702898663252618158313<45>
66039126656639520936203017529360818061007971819918535640380875386612837009<74>
factorization results 素因数分解の結果
Number: N
N=9764800819530466924518836952107346921926064836602594080779488507011172569982077589063765484307783295905707377627405817
  ( 118 digits)
Divisors found:
 r1=147863869707137044125193702898663252618158313 (pp45)
 r2=66039126656639520936203017529360818061007971819918535640380875386612837009 (pp74)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 72.97 hours.
Scaled time: 134.20 units (timescale=1.839).
Factorization parameters were as follows:
name: 8*10^181+3
n: 9764800819530466924518836952107346921926064836602594080779488507011172569982077589063765484307783295905707377627405817
skew: 67407.88
# norm 1.60e+16
c5: 12060
c4: 3987625233
c3: -501223287428036
c2: -13966524767850640108
c1: 532227260136176141487706
c0: 11552261902925874836942455365
# alpha -5.61
Y1: 2159113508321
Y0: -60487020326792030157938
# Murphy_E 3.57e-10
# M 5213949619208846846643369347895106390731876475313017475218358403523304199793861470938855378906618354132884471051345753
type: gnfs
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 25000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1500000, 1900001)
Primes: RFBsize:216816, AFBsize:216818, largePrimes:8168351 encountered
Relations: rels:8459764, finalFF:541290
Max relations in full relation-set: 28
Initial matrix: 433714 x 541290 with sparse part having weight 68304122.
Pruned matrix : 370334 x 372566 with weight 51046323.
Total sieving time: 68.03 hours.
Total relation processing time: 0.31 hours.
Matrix solve time: 4.39 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
gnfs,117,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3000000,3000000,27,27,50,50,2.4,2.4,60000
total time: 72.97 hours.
 --------- CPU info (if available) ----------

8×10182+3

c168

name 名前Dmitry Domanov
date 日付January 14, 2014 06:00:21 UTC 2014 年 1 月 14 日 (火) 15 時 0 分 21 秒 (日本時間)
composite number 合成数
436638027434265521382407497695755974120320420083662072563992989339483058638184905637205373550580914558968285612117246429863833474833077545624178757503028310500667859247<168>
prime factors 素因数
5926566082402689905841656871955090682501014991892889595891754317886568374399827<79>
73674708315620104145812324277068641041277959520607179164803392413353949269314280582257461<89>
factorization results 素因数分解の結果
N=436638027434265521382407497695755974120320420083662072563992989339483058638184905637205373550580914558968285612117246429863833474833077545624178757503028310500667859247
  ( 168 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=5926566082402689905841656871955090682501014991892889595891754317886568374399827 (pp79)
 r2=73674708315620104145812324277068641041277959520607179164803392413353949269314280582257461 (pp89)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 99.43 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 436638027434265521382407497695755974120320420083662072563992989339483058638184905637205373550580914558968285612117246429863833474833077545624178757503028310500667859247
m: 2000000000000000000000000000000000000
deg: 5
c5: 25
c0: 3
skew: 0.65
# Murphy_E = 1.194e-10
type: snfs
lss: 1
rlim: 7800000
alim: 7800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 7800000/7800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3900000, 8700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1257969 x 1258198
Total sieving time: 97.44 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 1.54 hours.
Time per square root: 0.24 hours.
Prototype def-par.txt line would be:
snfs,182.000,5,0,0,0,0,0,0,0,0,7800000,7800000,28,28,53,53,2.5,2.5,100000
total time: 99.43 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 KamadaAugust 9, 2007 09:00:00 UTC 2007 年 8 月 9 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovApril 9, 2011 15:31:38 UTC 2011 年 4 月 10 日 (日) 0 時 31 分 38 秒 (日本時間)
4511e61540 / 4413230Ignacio SantosOctober 1, 2013 20:44:30 UTC 2013 年 10 月 2 日 (水) 5 時 44 分 30 秒 (日本時間)
230Ignacio SantosOctober 13, 2013 15:25:49 UTC 2013 年 10 月 14 日 (月) 0 時 25 分 49 秒 (日本時間)
230Ignacio SantosOctober 16, 2013 22:18:32 UTC 2013 年 10 月 17 日 (木) 7 時 18 分 32 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:06:10 UTC 2013 年 11 月 9 日 (土) 2 時 6 分 10 秒 (日本時間)

8×10183+3

c177

name 名前Ignacio Santos
date 日付July 7, 2010 09:34:40 UTC 2010 年 7 月 7 日 (水) 18 時 34 分 40 秒 (日本時間)
composite number 合成数
138252311401510859278381346085680452904894489551469235827803082463166084731005156344613725374951933559671952841721824010441367566287706136140472781774930525189251428885162566659<177>
prime factors 素因数
1355535318203479635623337331431820531223886353<46>
4423320781363593409790516375182404169528903650817164287<55>
23057548329400141315608146805042346367263772462070880324331474711226599828269<77>
factorization results 素因数分解の結果
Number: 4
N=138252311401510859278381346085680452904894489551469235827803082463166084731005156344613725374951933559671952841721824010441367566287706136140472781774930525189251428885162566659
  ( 177 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=1355535318203479635623337331431820531223886353 (pp46)
 r2=4423320781363593409790516375182404169528903650817164287 (pp55)
 r3=23057548329400141315608146805042346367263772462070880324331474711226599828269 (pp77)
Version: Msieve-1.40
Total time: 153.14 hours.
Scaled time: 266.31 units (timescale=1.739).
Factorization parameters were as follows:
n: 138252311401510859278381346085680452904894489551469235827803082463166084731005156344613725374951933559671952841721824010441367566287706136140472781774930525189251428885162566659
m: 2000000000000000000000000000000000000
deg: 5
c5: 250
c0: 3
skew: 0.41
type: snfs
lss: 1
rlim: 8100000
alim: 8100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8100000/8100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4050000, 6450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1405970 x 1406195
Total sieving time: 149.08 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 2.76 hours.
Time per square root: 1.10 hours.
Prototype def-par.txt line would be:
snfs,183.000,5,0,0,0,0,0,0,0,0,8100000,8100000,28,28,53,53,2.5,2.5,100000
total time: 153.14 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 9, 2007 09:00:00 UTC 2007 年 8 月 9 日 (木) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosJune 19, 2010 13:56:24 UTC 2010 年 6 月 19 日 (土) 22 時 56 分 24 秒 (日本時間)
403e62446110Ignacio SantosJune 19, 2010 13:56:24 UTC 2010 年 6 月 19 日 (土) 22 時 56 分 24 秒 (日本時間)
2336Wataru SakaiJune 20, 2010 03:02:55 UTC 2010 年 6 月 20 日 (日) 12 時 2 分 55 秒 (日本時間)
4511e632 / 3924Ignacio SantosJune 19, 2010 13:56:24 UTC 2010 年 6 月 19 日 (土) 22 時 56 分 24 秒 (日本時間)

8×10184+3

c129

name 名前Sinkiti Sibata
date 日付May 16, 2010 13:12:57 UTC 2010 年 5 月 16 日 (日) 22 時 12 分 57 秒 (日本時間)
composite number 合成数
191884548366709150431536014176499504017574488166176366425076129509061213590000797073040315891921077084427847623834050555538185693<129>
prime factors 素因数
6251933143278921306128502804250766527457272908701<49>
30692034602608111743915901969538358525586340612777844002381534482914535307126593<80>
factorization results 素因数分解の結果
Number: 80003_184
N=191884548366709150431536014176499504017574488166176366425076129509061213590000797073040315891921077084427847623834050555538185693
  ( 129 digits)
Divisors found:
 r1=6251933143278921306128502804250766527457272908701 (pp49)
 r2=30692034602608111743915901969538358525586340612777844002381534482914535307126593 (pp80)
Version: Msieve-1.40
Total time: 145.39 hours.
Scaled time: 468.43 units (timescale=3.222).
Factorization parameters were as follows:
name: 80003_184
# Murphy_E = 9.138569e-11, selected by Jeff Gilchrist
n: 191884548366709150431536014176499504017574488166176366425076129509061213590000797073040315891921077084427847623834050555538185693
Y0: -5255035719953050427007553
Y1: 162880655429063
c0: 35518694983023701538747700790760
c1: 706604018367058233074458736
c2: -1796133301785010656598
c3: -29883179064605314
c4: 26680209807
c5: 47880
skew: 314855.18
type: gnfs
# selected mechanically
rlim: 8800000
alim: 8800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8800000/8800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved algebraic special-q in [4400000, 9400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1316658 x 1316906
Total sieving time: 141.22 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 3.53 hours.
Time per square root: 0.46 hours.
Prototype def-par.txt line would be:
gnfs,128,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,8800000,8800000,28,28,53,53,2.5,2.5,100000
total time: 145.39 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 9, 2007 09:00:00 UTC 2007 年 8 月 9 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336500Erik BrangerMarch 16, 2009 19:57:29 UTC 2009 年 3 月 17 日 (火) 4 時 57 分 29 秒 (日本時間)
1836Wataru SakaiDecember 2, 2009 06:39:11 UTC 2009 年 12 月 2 日 (水) 15 時 39 分 11 秒 (日本時間)

8×10186+3

c163

name 名前Dmitry Domanov
date 日付July 30, 2014 05:33:54 UTC 2014 年 7 月 30 日 (水) 14 時 33 分 54 秒 (日本時間)
composite number 合成数
4367110614744097463182398269261274287191734054762856708648451493363747023027729004417999049202068134236319131352234778728841221858194591240480790066971632465855537<163>
prime factors 素因数
848218051796218733728748337082343630038543764250141632268901738791143221<72>
5148570707138498534773173047226007648015628439588975397717170630573590539325512276143021197<91>
factorization results 素因数分解の結果
N=4367110614744097463182398269261274287191734054762856708648451493363747023027729004417999049202068134236319131352234778728841221858194591240480790066971632465855537
  ( 163 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=848218051796218733728748337082343630038543764250141632268901738791143221 (pp72)
 r2=5148570707138498534773173047226007648015628439588975397717170630573590539325512276143021197 (pp91)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 121.19 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 4367110614744097463182398269261274287191734054762856708648451493363747023027729004417999049202068134236319131352234778728841221858194591240480790066971632465855537
m: 10000000000000000000000000000000000000
deg: 5
c5: 80
c0: 3
skew: 0.52
# Murphy_E = 8.644e-11
type: snfs
lss: 1
rlim: 9100000
alim: 9100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 240000
Factor base limits: 9100000/9100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4550000, 10070001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1704275 x 1704498
Total sieving time: 117.82 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 2.93 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,186.000,5,0,0,0,0,0,0,0,0,9100000,9100000,28,28,54,54,2.5,2.5,100000
total time: 121.19 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 KamadaAugust 9, 2007 09:00:00 UTC 2007 年 8 月 9 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62100300Dmitry DomanovApril 9, 2011 15:31:49 UTC 2011 年 4 月 10 日 (日) 0 時 31 分 49 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:04:23 UTC 2014 年 1 月 9 日 (木) 14 時 4 分 23 秒 (日本時間)
1500Dmitry DomanovFebruary 27, 2014 12:35:52 UTC 2014 年 2 月 27 日 (木) 21 時 35 分 52 秒 (日本時間)
4511e6900 / 4015400Rich DickersonApril 10, 2014 19:14:32 UTC 2014 年 4 月 11 日 (金) 4 時 14 分 32 秒 (日本時間)
500Dmitry DomanovApril 28, 2014 12:52:30 UTC 2014 年 4 月 28 日 (月) 21 時 52 分 30 秒 (日本時間)

8×10188+3

c151

name 名前Youcef Lemsafer
date 日付June 29, 2013 01:03:39 UTC 2013 年 6 月 29 日 (土) 10 時 3 分 39 秒 (日本時間)
composite number 合成数
4002760687156585027520347299378057399958901798137202599120195394771669507861856389534719265662524368421912847665684764903872596233232980770053434113057<151>
prime factors 素因数
120170653503433884636230865776563068489370913771441083787209<60>
33308969956148285965169143440241727201325798701721128078286392610462000876022167337166245273<92>
factorization results 素因数分解の結果
Mon Jun 24 09:16:52 2013 -> factmsieve.py (v0.76)
Mon Jun 24 09:16:52 2013 -> This is client 1 of 1
Mon Jun 24 09:16:52 2013 -> Running on 2 Cores with 2 hyper-threads per Core
Mon Jun 24 09:16:52 2013 -> Working with NAME = 80003_188
Mon Jun 24 09:16:53 2013 -> Selected lattice siever: gnfs-lasieve4I13e
Mon Jun 24 09:16:53 2013 -> Creating param file to detect parameter changes...
Mon Jun 24 09:16:53 2013 -> Running setup ...
Mon Jun 24 09:16:53 2013 -> Estimated minimum relations needed: 1.99526e+07
Mon Jun 24 09:16:53 2013 -> cleaning up before a restart
Mon Jun 24 09:16:53 2013 -> Running lattice siever ...
Mon Jun 24 09:16:53 2013 -> entering sieving loop
Mon Jun 24 09:16:53 2013 -> making sieve job for q = 4950000 in 4950000 .. 4975000 as file 80003_188.job.T0
Mon Jun 24 09:16:53 2013 -> making sieve job for q = 4975000 in 4975000 .. 5000000 as file 80003_188.job.T1
Mon Jun 24 09:16:53 2013 -> making sieve job for q = 5000000 in 5000000 .. 5025000 as file 80003_188.job.T2
Mon Jun 24 09:16:53 2013 -> making sieve job for q = 5025000 in 5025000 .. 5050000 as file 80003_188.job.T3
Mon Jun 24 09:16:53 2013 -> Lattice sieving rational q from 4950000 to 5050000.
Mon Jun 24 09:16:53 2013 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n0 -r 80003_188.job.T0
Mon Jun 24 09:16:53 2013 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n1 -r 80003_188.job.T1
Mon Jun 24 09:16:53 2013 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n2 -r 80003_188.job.T2
Mon Jun 24 09:16:53 2013 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n3 -r 80003_188.job.T3
Mon Jun 24 10:28:21 2013 Found 278049 relations, 1.4% of the estimated minimum (19952623).
Mon Jun 24 10:28:21 2013 Found 278049 relations, 1.4% of the estimated minimum (19952623).
Mon Jun 24 12:06:53 2013 Found 555002 relations, 2.8% of the estimated minimum (19952623).
Mon Jun 24 13:21:17 2013 Found 832013 relations, 4.2% of the estimated minimum (19952623).
Mon Jun 24 14:41:14 2013 Found 1110227 relations, 5.6% of the estimated minimum (19952623).
Mon Jun 24 15:58:20 2013 Found 1387147 relations, 7.0% of the estimated minimum (19952623).
Mon Jun 24 17:15:45 2013 Found 1661812 relations, 8.3% of the estimated minimum (19952623).
Mon Jun 24 18:31:27 2013 Found 1935465 relations, 9.7% of the estimated minimum (19952623).
Mon Jun 24 19:44:21 2013 Found 2212800 relations, 11.1% of the estimated minimum (19952623).
Mon Jun 24 20:53:30 2013 Found 2486935 relations, 12.5% of the estimated minimum (19952623).
Mon Jun 24 22:07:58 2013 Found 2764191 relations, 13.9% of the estimated minimum (19952623).
Mon Jun 24 23:19:28 2013 Found 3038586 relations, 15.2% of the estimated minimum (19952623).
Tue Jun 25 00:31:42 2013 Found 3314422 relations, 16.6% of the estimated minimum (19952623).
Tue Jun 25 01:43:01 2013 Found 3588217 relations, 18.0% of the estimated minimum (19952623).
Tue Jun 25 02:55:50 2013 Found 3864583 relations, 19.4% of the estimated minimum (19952623).
Tue Jun 25 04:06:57 2013 Found 4135344 relations, 20.7% of the estimated minimum (19952623).
Tue Jun 25 05:20:03 2013 Found 4409056 relations, 22.1% of the estimated minimum (19952623).
Tue Jun 25 06:34:54 2013 Found 4682607 relations, 23.5% of the estimated minimum (19952623).
Tue Jun 25 07:48:02 2013 Found 4955229 relations, 24.8% of the estimated minimum (19952623).
Tue Jun 25 08:59:26 2013 Found 5226526 relations, 26.2% of the estimated minimum (19952623).
Tue Jun 25 10:15:13 2013 Found 5502081 relations, 27.6% of the estimated minimum (19952623).
Tue Jun 25 11:34:12 2013 Found 5776041 relations, 28.9% of the estimated minimum (19952623).
Tue Jun 25 12:49:10 2013 Found 6044226 relations, 30.3% of the estimated minimum (19952623).
Tue Jun 25 14:02:57 2013 Found 6315050 relations, 31.7% of the estimated minimum (19952623).
Tue Jun 25 15:16:56 2013 Found 6584796 relations, 33.0% of the estimated minimum (19952623).
Tue Jun 25 16:33:45 2013 Found 6854613 relations, 34.4% of the estimated minimum (19952623).
Tue Jun 25 17:47:18 2013 Found 7122706 relations, 35.7% of the estimated minimum (19952623).
Tue Jun 25 19:03:17 2013 Found 7390403 relations, 37.0% of the estimated minimum (19952623).
Tue Jun 25 20:16:35 2013 Found 7657797 relations, 38.4% of the estimated minimum (19952623).
Tue Jun 25 21:28:33 2013 Found 7928010 relations, 39.7% of the estimated minimum (19952623).
Tue Jun 25 22:42:27 2013 Found 8196529 relations, 41.1% of the estimated minimum (19952623).
Tue Jun 25 23:58:25 2013 Found 8462740 relations, 42.4% of the estimated minimum (19952623).
Wed Jun 26 01:19:25 2013 Found 8728218 relations, 43.7% of the estimated minimum (19952623).
Wed Jun 26 02:39:52 2013 Found 8995724 relations, 45.1% of the estimated minimum (19952623).
Wed Jun 26 03:59:07 2013 Found 9263797 relations, 46.4% of the estimated minimum (19952623).
Wed Jun 26 05:18:29 2013 Found 9526964 relations, 47.7% of the estimated minimum (19952623).
Wed Jun 26 06:41:18 2013 Found 9794653 relations, 49.1% of the estimated minimum (19952623).
Wed Jun 26 08:03:49 2013 Found 10060516 relations, 50.4% of the estimated minimum (19952623).
Wed Jun 26 09:21:57 2013 Found 10327425 relations, 51.8% of the estimated minimum (19952623).
Wed Jun 26 10:41:24 2013 Found 10592110 relations, 53.1% of the estimated minimum (19952623).
Wed Jun 26 12:04:54 2013 Found 10856662 relations, 54.4% of the estimated minimum (19952623).
Wed Jun 26 13:26:02 2013 Found 11119609 relations, 55.7% of the estimated minimum (19952623).
Wed Jun 26 14:50:04 2013 Found 11382232 relations, 57.0% of the estimated minimum (19952623).
Wed Jun 26 16:15:30 2013 Found 11648177 relations, 58.4% of the estimated minimum (19952623).
Wed Jun 26 17:39:49 2013 Found 11910879 relations, 59.7% of the estimated minimum (19952623).
Wed Jun 26 19:03:37 2013 Found 12172509 relations, 61.0% of the estimated minimum (19952623).
Wed Jun 26 20:27:54 2013 Found 12433405 relations, 62.3% of the estimated minimum (19952623).
Wed Jun 26 21:49:58 2013 Found 12696069 relations, 63.6% of the estimated minimum (19952623).
Wed Jun 26 23:14:56 2013 Found 12958278 relations, 64.9% of the estimated minimum (19952623).
Thu Jun 27 00:41:36 2013 Found 13216909 relations, 66.2% of the estimated minimum (19952623).
Thu Jun 27 02:04:54 2013 Found 13476165 relations, 67.5% of the estimated minimum (19952623).
Thu Jun 27 03:28:43 2013 Found 13734890 relations, 68.8% of the estimated minimum (19952623).
Thu Jun 27 04:49:51 2013 Found 13994428 relations, 70.1% of the estimated minimum (19952623).
Thu Jun 27 06:08:51 2013 Found 14248388 relations, 71.4% of the estimated minimum (19952623).
Thu Jun 27 07:43:38 2013 Found 14505703 relations, 72.7% of the estimated minimum (19952623).
Thu Jun 27 09:08:20 2013 Found 14763339 relations, 74.0% of the estimated minimum (19952623).
Thu Jun 27 10:30:55 2013 Found 15020122 relations, 75.3% of the estimated minimum (19952623).
Thu Jun 27 11:50:36 2013 Found 15274150 relations, 76.6% of the estimated minimum (19952623).
Thu Jun 27 13:10:54 2013 Found 15529823 relations, 77.8% of the estimated minimum (19952623).
Thu Jun 27 14:29:28 2013 Found 15781373 relations, 79.1% of the estimated minimum (19952623).
Thu Jun 27 15:51:41 2013 Found 16033049 relations, 80.4% of the estimated minimum (19952623).
Thu Jun 27 17:12:41 2013 Found 16281655 relations, 81.6% of the estimated minimum (19952623).
Thu Jun 27 18:33:36 2013 Found 16533217 relations, 82.9% of the estimated minimum (19952623).
Thu Jun 27 19:53:37 2013 Found 16783392 relations, 84.1% of the estimated minimum (19952623).
Thu Jun 27 21:12:13 2013 Found 17031712 relations, 85.4% of the estimated minimum (19952623).
Thu Jun 27 22:31:43 2013 Found 17279359 relations, 86.6% of the estimated minimum (19952623).
Fri Jun 28 00:00:47 2013 Found 17528163 relations, 87.8% of the estimated minimum (19952623).
Fri Jun 28 01:23:05 2013 Found 17776295 relations, 89.1% of the estimated minimum (19952623).
Fri Jun 28 02:42:12 2013 Found 18022187 relations, 90.3% of the estimated minimum (19952623).
Fri Jun 28 04:00:54 2013 Found 18265622 relations, 91.5% of the estimated minimum (19952623).
Fri Jun 28 05:19:33 2013 Found 18511820 relations, 92.8% of the estimated minimum (19952623).
Fri Jun 28 06:46:50 2013 Found 18754799 relations, 94.0% of the estimated minimum (19952623).
Fri Jun 28 08:19:06 2013 Found 18997972 relations, 95.2% of the estimated minimum (19952623).
Fri Jun 28 09:36:07 2013 Found 19239373 relations, 96.4% of the estimated minimum (19952623).
Fri Jun 28 10:55:11 2013 Found 19480639 relations, 97.6% of the estimated minimum (19952623).
Fri Jun 28 12:14:11 2013 Found 19725414 relations, 98.9% of the estimated minimum (19952623).
Fri Jun 28 13:32:10 2013 Found 19964138 relations, 100.1% of the estimated minimum (19952623).
Fri Jun 28 15:06:06 2013 Found 20915659 relations, 104.8% of the estimated minimum (19952623).
Fri Jun 28 16:37:07 2013 Found 21155933 relations, 106.0% of the estimated minimum (19952623).
Fri Jun 28 18:16:28 2013 Found 21396092 relations, 107.2% of the estimated minimum (19952623).
Fri Jun 28 18:16:31 2013  commencing relation filtering
Fri Jun 28 18:16:31 2013  estimated available RAM is 4095.6 MB
Fri Jun 28 18:16:31 2013  commencing duplicate removal, pass 1
Fri Jun 28 18:18:26 2013  found 2755605 hash collisions in 21396091 relations
Fri Jun 28 18:19:01 2013  added 554 free relations
Fri Jun 28 18:19:01 2013  commencing duplicate removal, pass 2
Fri Jun 28 18:21:06 2013  found 2358962 duplicates and 19037683 unique relations
Fri Jun 28 18:21:06 2013  memory use: 98.6 MB
Fri Jun 28 18:21:06 2013  reading ideals above 12779520
Fri Jun 28 18:21:09 2013  commencing singleton removal, initial pass
Fri Jun 28 18:24:12 2013  memory use: 376.5 MB
Fri Jun 28 18:24:12 2013  reading all ideals from disk
Fri Jun 28 18:24:13 2013  memory use: 336.7 MB
Fri Jun 28 18:24:13 2013  commencing in-memory singleton removal
Fri Jun 28 18:24:14 2013  begin with 19037683 relations and 19677401 unique ideals
Fri Jun 28 18:24:25 2013  reduce to 7532007 relations and 5763391 ideals in 21 passes
Fri Jun 28 18:24:25 2013  max relations containing the same ideal: 37
Fri Jun 28 18:24:25 2013  reading ideals above 100000
Fri Jun 28 18:24:25 2013  commencing singleton removal, initial pass
Fri Jun 28 18:25:45 2013  memory use: 188.3 MB
Fri Jun 28 18:25:45 2013  reading all ideals from disk
Fri Jun 28 18:25:45 2013  memory use: 289.7 MB
Fri Jun 28 18:25:46 2013  keeping 7396293 ideals with weight <= 200, target excess is 39445
Fri Jun 28 18:25:47 2013  commencing in-memory singleton removal
Fri Jun 28 18:25:47 2013  begin with 7532568 relations and 7396293 unique ideals
Fri Jun 28 18:25:59 2013  reduce to 7515232 relations and 7376205 ideals in 14 passes
Fri Jun 28 18:25:59 2013  max relations containing the same ideal: 200
Fri Jun 28 18:26:03 2013  removing 591710 relations and 545075 ideals in 46635 cliques
Fri Jun 28 18:26:03 2013  commencing in-memory singleton removal
Fri Jun 28 18:26:03 2013  begin with 6923522 relations and 7376205 unique ideals
Fri Jun 28 18:26:11 2013  reduce to 6884781 relations and 6792029 ideals in 10 passes
Fri Jun 28 18:26:11 2013  max relations containing the same ideal: 193
Fri Jun 28 18:26:14 2013  removing 426601 relations and 379966 ideals in 46635 cliques
Fri Jun 28 18:26:15 2013  commencing in-memory singleton removal
Fri Jun 28 18:26:15 2013  begin with 6458180 relations and 6792029 unique ideals
Fri Jun 28 18:26:20 2013  reduce to 6435863 relations and 6389567 ideals in 8 passes
Fri Jun 28 18:26:20 2013  max relations containing the same ideal: 187
Fri Jun 28 18:26:26 2013  relations with 0 large ideals: 838
Fri Jun 28 18:26:26 2013  relations with 1 large ideals: 77
Fri Jun 28 18:26:26 2013  relations with 2 large ideals: 1034
Fri Jun 28 18:26:26 2013  relations with 3 large ideals: 12949
Fri Jun 28 18:26:26 2013  relations with 4 large ideals: 96802
Fri Jun 28 18:26:26 2013  relations with 5 large ideals: 423144
Fri Jun 28 18:26:26 2013  relations with 6 large ideals: 1196997
Fri Jun 28 18:26:26 2013  relations with 7+ large ideals: 4704022
Fri Jun 28 18:26:26 2013  commencing 2-way merge
Fri Jun 28 18:26:31 2013  reduce to 3747393 relation sets and 3701097 unique ideals
Fri Jun 28 18:26:31 2013  commencing full merge
Fri Jun 28 18:27:50 2013  memory use: 399.7 MB
Fri Jun 28 18:27:51 2013  found 1920114 cycles, need 1917297
Fri Jun 28 18:27:51 2013  weight of 1917297 cycles is about 134473158 (70.14/cycle)
Fri Jun 28 18:27:51 2013  distribution of cycle lengths:
Fri Jun 28 18:27:51 2013  1 relations: 281529
Fri Jun 28 18:27:51 2013  2 relations: 244749
Fri Jun 28 18:27:51 2013  3 relations: 228894
Fri Jun 28 18:27:51 2013  4 relations: 198474
Fri Jun 28 18:27:51 2013  5 relations: 169820
Fri Jun 28 18:27:51 2013  6 relations: 141918
Fri Jun 28 18:27:51 2013  7 relations: 120108
Fri Jun 28 18:27:51 2013  8 relations: 98653
Fri Jun 28 18:27:51 2013  9 relations: 81575
Fri Jun 28 18:27:51 2013  10+ relations: 351577
Fri Jun 28 18:27:51 2013  heaviest cycle: 28 relations
Fri Jun 28 18:27:52 2013  commencing cycle optimization
Fri Jun 28 18:27:55 2013  start with 11126207 relations
Fri Jun 28 18:28:17 2013  pruned 224985 relations
Fri Jun 28 18:28:17 2013  memory use: 298.2 MB
Fri Jun 28 18:28:17 2013  distribution of cycle lengths:
Fri Jun 28 18:28:17 2013  1 relations: 281529
Fri Jun 28 18:28:17 2013  2 relations: 249591
Fri Jun 28 18:28:17 2013  3 relations: 235711
Fri Jun 28 18:28:17 2013  4 relations: 201866
Fri Jun 28 18:28:17 2013  5 relations: 172367
Fri Jun 28 18:28:17 2013  6 relations: 142821
Fri Jun 28 18:28:17 2013  7 relations: 120148
Fri Jun 28 18:28:17 2013  8 relations: 97861
Fri Jun 28 18:28:17 2013  9 relations: 80197
Fri Jun 28 18:28:17 2013  10+ relations: 335206
Fri Jun 28 18:28:17 2013  heaviest cycle: 28 relations
Fri Jun 28 18:28:19 2013  RelProcTime: 708
Fri Jun 28 18:28:19 2013  elapsed time 00:11:51
Fri Jun 28 18:28:19 2013 LatSieveTime: 5608.46
Fri Jun 28 18:28:19 2013 -> Running matrix solving step ...
Fri Jun 28 18:28:21 2013  commencing linear algebra
Fri Jun 28 18:28:22 2013  read 1917297 cycles
Fri Jun 28 18:28:26 2013  cycles contain 6371062 unique relations
Fri Jun 28 18:30:44 2013  read 6371062 relations
Fri Jun 28 18:30:54 2013  using 20 quadratic characters above 268434564
Fri Jun 28 18:31:21 2013  building initial matrix
Fri Jun 28 18:32:36 2013  memory use: 715.3 MB
Fri Jun 28 18:32:38 2013  read 1917297 cycles
Fri Jun 28 18:32:39 2013  matrix is 1917120 x 1917297 (547.1 MB) with weight 172185533 (89.81/col)
Fri Jun 28 18:32:39 2013  sparse part has weight 129999791 (67.80/col)
Fri Jun 28 18:33:00 2013  filtering completed in 2 passes
Fri Jun 28 18:33:01 2013  matrix is 1916357 x 1916533 (547.1 MB) with weight 172161395 (89.83/col)
Fri Jun 28 18:33:01 2013  sparse part has weight 129993663 (67.83/col)
Fri Jun 28 18:33:07 2013  matrix starts at (0, 0)
Fri Jun 28 18:33:08 2013  matrix is 1916357 x 1916533 (547.1 MB) with weight 172161395 (89.83/col)
Fri Jun 28 18:33:08 2013  sparse part has weight 129993663 (67.83/col)
Fri Jun 28 18:33:08 2013  saving the first 48 matrix rows for later
Fri Jun 28 18:33:08 2013  matrix includes 64 packed rows
Fri Jun 28 18:33:09 2013  matrix is 1916309 x 1916533 (517.1 MB) with weight 135859331 (70.89/col)
Fri Jun 28 18:33:09 2013  sparse part has weight 124057226 (64.73/col)
Fri Jun 28 18:33:09 2013  using block size 65536 for processor cache size 12288 kB
Fri Jun 28 18:33:19 2013  commencing Lanczos iteration (4 threads)
Fri Jun 28 18:33:19 2013  memory use: 479.2 MB
Fri Jun 28 18:33:33 2013  linear algebra at 0.1%, ETA 4h32m
Fri Jun 28 18:33:38 2013  checkpointing every 410000 dimensions
Fri Jun 28 23:40:22 2013  lanczos halted after 30303 iterations (dim = 1916308)
Fri Jun 28 23:40:27 2013  recovered 38 nontrivial dependencies
Fri Jun 28 23:40:27 2013  BLanczosTime: 18726
Fri Jun 28 23:40:27 2013  elapsed time 05:12:08
Fri Jun 28 23:40:27 2013 -> Running square root step ...
Fri Jun 28 23:40:29 2013  commencing square root phase
Fri Jun 28 23:40:29 2013  reading relations for dependency 1
Fri Jun 28 23:40:30 2013  read 959254 cycles
Fri Jun 28 23:40:32 2013  cycles contain 3186678 unique relations
Fri Jun 28 23:43:02 2013  read 3186678 relations
Fri Jun 28 23:43:21 2013  multiplying 3186678 relations
Fri Jun 28 23:47:52 2013  multiply complete, coefficients have about 95.04 million bits
Fri Jun 28 23:47:53 2013  initial square root is modulo 6632221
Fri Jun 28 23:53:37 2013  GCD is 1, no factor found
Fri Jun 28 23:53:37 2013  reading relations for dependency 2
Fri Jun 28 23:53:38 2013  read 957591 cycles
Fri Jun 28 23:53:40 2013  cycles contain 3184454 unique relations
Fri Jun 28 23:56:07 2013  read 3184454 relations
Fri Jun 28 23:56:26 2013  multiplying 3184454 relations
Sat Jun 29 00:00:53 2013  multiply complete, coefficients have about 94.97 million bits
Sat Jun 29 00:00:57 2013  initial square root is modulo 6558911
Sat Jun 29 00:06:52 2013  GCD is 1, no factor found
Sat Jun 29 00:06:52 2013  reading relations for dependency 3
Sat Jun 29 00:06:53 2013  read 958166 cycles
Sat Jun 29 00:06:55 2013  cycles contain 3185212 unique relations
Sat Jun 29 00:10:12 2013  read 3185212 relations
Sat Jun 29 00:10:35 2013  multiplying 3185212 relations
Sat Jun 29 00:15:12 2013  multiply complete, coefficients have about 95.00 million bits
Sat Jun 29 00:15:13 2013  initial square root is modulo 6587951
Sat Jun 29 00:20:58 2013  GCD is 1, no factor found
Sat Jun 29 00:20:58 2013  reading relations for dependency 4
Sat Jun 29 00:20:59 2013  read 958415 cycles
Sat Jun 29 00:21:01 2013  cycles contain 3184684 unique relations
Sat Jun 29 00:23:31 2013  read 3184684 relations
Sat Jun 29 00:23:49 2013  multiplying 3184684 relations
Sat Jun 29 00:28:13 2013  multiply complete, coefficients have about 94.98 million bits
Sat Jun 29 00:28:14 2013  initial square root is modulo 6569011
Sat Jun 29 00:33:58 2013  GCD is 1, no factor found
Sat Jun 29 00:33:58 2013  reading relations for dependency 5
Sat Jun 29 00:33:59 2013  read 958689 cycles
Sat Jun 29 00:34:01 2013  cycles contain 3184902 unique relations
Sat Jun 29 00:37:35 2013  read 3184902 relations
Sat Jun 29 00:37:53 2013  multiplying 3184902 relations
Sat Jun 29 00:42:19 2013  multiply complete, coefficients have about 94.98 million bits
Sat Jun 29 00:42:20 2013  initial square root is modulo 6573041
Sat Jun 29 00:48:14 2013  sqrtTime: 4065
Sat Jun 29 00:48:14 2013  prp60 factor: 120170653503433884636230865776563068489370913771441083787209
Sat Jun 29 00:48:14 2013  prp92 factor: 33308969956148285965169143440241727201325798701721128078286392610462000876022167337166245273
Sat Jun 29 00:48:14 2013  elapsed time 01:07:47
Sat Jun 29 00:48:14 2013 -> Computing 1.37246e+09 scale for this machine...
Sat Jun 29 00:48:14 2013 -> procrels -speedtest> PIPE
Sat Jun 29 00:48:19 2013 -> Factorization summary written to s189-80003_188.txt




Number: 80003_188
N = 4002760687156585027520347299378057399958901798137202599120195394771669507861856389534719265662524368421912847665684764903872596233232980770053434113057 (151 digits)
SNFS difficulty: 189 digits.
Divisors found:
r1=120170653503433884636230865776563068489370913771441083787209 (pp60)
r2=33308969956148285965169143440241727201325798701721128078286392610462000876022167337166245273 (pp92)
Version: Msieve v. 1.50 (SVN 708)
Total time: 111.71 hours.
Factorization parameters were as follows:
n: 4002760687156585027520347299378057399958901798137202599120195394771669507861856389534719265662524368421912847665684764903872596233232980770053434113057
m: 20000000000000000000000000000000000000
deg: 5
c5: 250
c0: 3
skew: 0.41
# Murphy_E = 5.712e-11
type: snfs
lss: 1
rlim: 9900000
alim: 9900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9900000/9900000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 21396092
Relations: 3184902 relations
Pruned matrix : 1916309 x 1916533
Polynomial selection time: 0.00 hours.
Total sieving time: 105.18 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 5.20 hours.
time per square root: 1.13 hours.
Prototype def-par.txt line would be: snfs,189,5,0,0,0,0,0,0,0,0,9900000,9900000,28,28,54,54,2.5,2.5,100000
total time: 111.71 hours.
Intel64 Family 6 Model 44 Stepping 2, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 2, speed: 2.79GHz
software ソフトウェア
GGNFS (SVN 430) , msieve v. 1.50 (SVN 708)
execution environment 実行環境
Windows 7 Professional 64 bits, Intel Xeon X5660 @ 2.8GHz, 4GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 9, 2007 09:00:00 UTC 2007 年 8 月 9 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62346300Dmitry DomanovApril 9, 2011 15:31:58 UTC 2011 年 4 月 10 日 (日) 0 時 31 分 58 秒 (日本時間)
2046Youcef LemsaferFebruary 15, 2013 08:11:05 UTC 2013 年 2 月 15 日 (金) 17 時 11 分 5 秒 (日本時間)
4511e6325591Youcef LemsaferFebruary 15, 2013 08:36:09 UTC 2013 年 2 月 15 日 (金) 17 時 36 分 9 秒 (日本時間)
2564Youcef LemsaferMay 11, 2013 06:25:47 UTC 2013 年 5 月 11 日 (土) 15 時 25 分 47 秒 (日本時間)
600Youcef LemsaferMay 11, 2013 16:22:36 UTC 2013 年 5 月 12 日 (日) 1 時 22 分 36 秒 (日本時間)
5043e61000 / 6295Youcef LemsaferMay 12, 2013 18:39:20 UTC 2013 年 5 月 13 日 (月) 3 時 39 分 20 秒 (日本時間)
5511e7182 / 17190Youcef LemsaferMay 13, 2013 16:16:38 UTC 2013 年 5 月 14 日 (火) 1 時 16 分 38 秒 (日本時間)

8×10189+3

c145

name 名前JMB
date 日付August 10, 2007 23:24:28 UTC 2007 年 8 月 11 日 (土) 8 時 24 分 28 秒 (日本時間)
composite number 合成数
2815914875193219877828539072177517736172541637781116256473277280783253964580909638687995977555909364081187186495823141880116165032933875585563699<145>
prime factors 素因数
921080685636059212526826174467963<33>
composite cofactor 合成数の残り
3057185889473590067108879535881711047802061887351934101508239518685119755420999299188104236165875118418785864873<112>
factorization results 素因数分解の結果
A factor was found for 8*10^189+3 using GMP-ECM using factor method ECM
   Candidate number: 2815914875193219877828539072177517736172541637781116256473277280783253964580909638687995977555909364081187186495823141880116165032933875585563699
   Factor: 921080685636059212526826174467963
   Factor Type: probable
   Factor Length: 33
   Co-Factor: 3057185889473590067108879535881711047802061887351934101508239518685119755420999299188104236165875118418785864873
   Co-Factor Type: Composite
   Co-Factor Length: 112
   B1: 1000000
   Sigma: 1799117052
   Finder: j_m_berg@yahoo.com
   Found on machine: Office2400AMD

c112

name 名前Sinkiti Sibata
date 日付August 13, 2007 18:21:12 UTC 2007 年 8 月 14 日 (火) 3 時 21 分 12 秒 (日本時間)
composite number 合成数
3057185889473590067108879535881711047802061887351934101508239518685119755420999299188104236165875118418785864873<112>
prime factors 素因数
17588503812768618802899470677477549249528890421<47>
173817279856071866628575928062476489118502849448260284689789701413<66>
factorization results 素因数分解の結果
Number: 80003_189
N=3057185889473590067108879535881711047802061887351934101508239518685119755420999299188104236165875118418785864873
  ( 112 digits)
Divisors found:
 r1=17588503812768618802899470677477549249528890421 (pp47)
 r2=173817279856071866628575928062476489118502849448260284689789701413 (pp66)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 44.29 hours.
Scaled time: 30.21 units (timescale=0.682).
Factorization parameters were as follows:
name: 80003_189
n: 3057185889473590067108879535881711047802061887351934101508239518685119755420999299188104236165875118418785864873
skew: 42151.48
# norm 8.84e+15
c5: 37440
c4: -298371218
c3: -300194331630874
c2: -2696942357896617447
c1: -27789569306702796022486
c0: 469893487864104658111591365
# alpha -6.89
Y1: 204062775301
Y0: -2412110836924559280358
# Murphy_E 8.26e-10
# M 1005760143397642380352074720913871517578447049436816287197307383505060650599072483745071851791769646797691653031
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2550001)
Primes: RFBsize:250150, AFBsize:250023, largePrimes:7400988 encountered
Relations: rels:7270904, finalFF:564212
Max relations in full relation-set: 0
Initial matrix: 500263 x 564212 with sparse part having weight 39359534.
Pruned matrix : 442161 x 444726 with weight 27121752.
Polynomial selection time: 1.87 hours.
Total sieving time: 34.72 hours.
Total relation processing time: 0.37 hours.
Matrix solve time: 7.00 hours.
Time per square root: 0.34 hours.
Prototype def-par.txt line would be:
gnfs,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 44.29 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

8×10190+3

c141

name 名前Dmitry Domanov
date 日付December 5, 2014 08:32:39 UTC 2014 年 12 月 5 日 (金) 17 時 32 分 39 秒 (日本時間)
composite number 合成数
161286432681930695395431578191458011974762265535989812126587463390765928300135205920780808715841822754273284625937069221092684154285156421757<141>
prime factors 素因数
3745732691597311546432103964452232875009218920280333835988821<61>
43058713998396002559188487313145382092368907049402773817908183467795385440455817<80>
factorization results 素因数分解の結果
N=161286432681930695395431578191458011974762265535989812126587463390765928300135205920780808715841822754273284625937069221092684154285156421757
  ( 141 digits)
SNFS difficulty: 190 digits.
Divisors found:
 r1=3745732691597311546432103964452232875009218920280333835988821 (pp61)
 r2=43058713998396002559188487313145382092368907049402773817908183467795385440455817 (pp80)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 183.30 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 161286432681930695395431578191458011974762265535989812126587463390765928300135205920780808715841822754273284625937069221092684154285156421757
m: 100000000000000000000000000000000000000
deg: 5
c5: 8
c0: 3
skew: 0.82
# Murphy_E = 5.702e-11
type: snfs
lss: 1
rlim: 10600000
alim: 10600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 10600000/10600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5300000, 13300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2057854 x 2058101
Total sieving time: 177.93 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 4.45 hours.
Time per square root: 0.66 hours.
Prototype def-par.txt line would be:
snfs,190.000,5,0,0,0,0,0,0,0,0,10600000,10600000,28,28,54,54,2.5,2.5,100000
total time: 183.30 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 KamadaAugust 9, 2007 09:00:00 UTC 2007 年 8 月 9 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62100300Dmitry DomanovApril 9, 2011 15:32:11 UTC 2011 年 4 月 10 日 (日) 0 時 32 分 11 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:04:24 UTC 2014 年 1 月 9 日 (木) 14 時 4 分 24 秒 (日本時間)
1500Dmitry DomanovFebruary 27, 2014 12:35:41 UTC 2014 年 2 月 27 日 (木) 21 時 35 分 41 秒 (日本時間)
4511e61000 / 4015Dmitry DomanovApril 28, 2014 12:52:59 UTC 2014 年 4 月 28 日 (月) 21 時 52 分 59 秒 (日本時間)

8×10191+3

c168

name 名前Dmitry Domanov
date 日付December 4, 2014 09:20:40 UTC 2014 年 12 月 4 日 (木) 18 時 20 分 40 秒 (日本時間)
composite number 合成数
136864454205284996693790358712278009271559052224549185024306843802769166435276362177338276909574040689759318164705442311644374383283586162563996534995180590662998006781<168>
prime factors 素因数
394363058467665716712642056888165131361172716779<48>
347051913881296443978785985768838738343869801998600703563356838557407323661557275370273423291621772579034043419565715639<120>
factorization results 素因数分解の結果
N=136864454205284996693790358712278009271559052224549185024306843802769166435276362177338276909574040689759318164705442311644374383283586162563996534995180590662998006781
  ( 168 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=394363058467665716712642056888165131361172716779 (pp48)
 r2=347051913881296443978785985768838738343869801998600703563356838557407323661557275370273423291621772579034043419565715639 (pp120)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 209.93 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 136864454205284996693790358712278009271559052224549185024306843802769166435276362177338276909574040689759318164705442311644374383283586162563996534995180590662998006781
m: 100000000000000000000000000000000000000
deg: 5
c5: 80
c0: 3
skew: 0.52
# Murphy_E = 5.39e-11
type: snfs
lss: 1
rlim: 11100000
alim: 11100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 11100000/11100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5550000, 14550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1826331 x 1826556
Total sieving time: 205.38 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 3.67 hours.
Time per square root: 0.61 hours.
Prototype def-par.txt line would be:
snfs,191.000,5,0,0,0,0,0,0,0,0,11100000,11100000,28,28,54,54,2.5,2.5,100000
total time: 209.93 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 9, 2007 09:00:00 UTC 2007 年 8 月 9 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62100300Dmitry DomanovApril 9, 2011 15:32:25 UTC 2011 年 4 月 10 日 (日) 0 時 32 分 25 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:04:25 UTC 2014 年 1 月 9 日 (木) 14 時 4 分 25 秒 (日本時間)
1500Dmitry DomanovFebruary 27, 2014 12:35:29 UTC 2014 年 2 月 27 日 (木) 21 時 35 分 29 秒 (日本時間)
4511e61000 / 4015Dmitry DomanovApril 28, 2014 12:53:55 UTC 2014 年 4 月 28 日 (月) 21 時 53 分 55 秒 (日本時間)

8×10192+3

c157

name 名前Dmitry Domanov
date 日付February 28, 2014 19:16:39 UTC 2014 年 3 月 1 日 (土) 4 時 16 分 39 秒 (日本時間)
composite number 合成数
1648700138747607315730707585949407831903483228636011124338761685890251082645070982493556140316636906525975673773401372784932731939732245485766720763283402369<157>
prime factors 素因数
111240746516419665348698681303251591<36>
14821009300798348228287447502125253135891921408999589668984959479548928948529970115095204543668718285000639456934545893559<122>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2806070677
Step 1 took 19562ms
********** Factor found in step 1: 111240746516419665348698681303251591
Found probable prime factor of 36 digits: 111240746516419665348698681303251591

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 9, 2007 09:00:00 UTC 2007 年 8 月 9 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62100 / 2336300Dmitry DomanovApril 9, 2011 15:32:34 UTC 2011 年 4 月 10 日 (日) 0 時 32 分 34 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:04:26 UTC 2014 年 1 月 9 日 (木) 14 時 4 分 26 秒 (日本時間)
1500Dmitry DomanovFebruary 27, 2014 12:35:18 UTC 2014 年 2 月 27 日 (木) 21 時 35 分 18 秒 (日本時間)

8×10193+3

c163

name 名前Dmitry Domanov
date 日付February 16, 2015 06:33:15 UTC 2015 年 2 月 16 日 (月) 15 時 33 分 15 秒 (日本時間)
composite number 合成数
9840790407900656066067629265440156194052735351485740152553562788802520276246454755383145153441343986651954238576587064493418247128625236538534767814847098071980519<163>
prime factors 素因数
107771738852482404944838800699966613546803039431<48>
91311419048092904997258430910908091567416312677267748236581730703715618225414401457053087359905471024091778214996449<116>
factorization results 素因数分解の結果
N=9840790407900656066067629265440156194052735351485740152553562788802520276246454755383145153441343986651954238576587064493418247128625236538534767814847098071980519
  ( 163 digits)
SNFS difficulty: 193 digits.
Divisors found:
 r1=107771738852482404944838800699966613546803039431 (pp48)
 r2=91311419048092904997258430910908091567416312677267748236581730703715618225414401457053087359905471024091778214996449 (pp116)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 297.72 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 9840790407900656066067629265440156194052735351485740152553562788802520276246454755383145153441343986651954238576587064493418247128625236538534767814847098071980519
m: 200000000000000000000000000000000000000
deg: 5
c5: 250
c0: 3
skew: 0.41
# Murphy_E = 3.557e-11
type: snfs
lss: 1
rlim: 11900000
alim: 11900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 11900000/11900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5950000, 18550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2248892 x 2249118
Total sieving time: 291.55 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 5.60 hours.
Time per square root: 0.28 hours.
Prototype def-par.txt line would be:
snfs,193.000,5,0,0,0,0,0,0,0,0,11900000,11900000,28,28,55,55,2.5,2.5,100000
total time: 297.72 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 KamadaAugust 9, 2007 09:00:00 UTC 2007 年 8 月 9 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62100300Dmitry DomanovApril 9, 2011 15:33:00 UTC 2011 年 4 月 10 日 (日) 0 時 33 分 0 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:04:26 UTC 2014 年 1 月 9 日 (木) 14 時 4 分 26 秒 (日本時間)
1500Dmitry DomanovFebruary 27, 2014 12:35:08 UTC 2014 年 2 月 27 日 (木) 21 時 35 分 8 秒 (日本時間)
4511e61000 / 3664Dmitry DomanovApril 28, 2014 12:54:13 UTC 2014 年 4 月 28 日 (月) 21 時 54 分 13 秒 (日本時間)
5043e6100 / 7250Dmitry DomanovDecember 5, 2014 23:25:22 UTC 2014 年 12 月 6 日 (土) 8 時 25 分 22 秒 (日本時間)

8×10195+3

c182

name 名前Dmitry Domanov
date 日付April 9, 2011 16:21:10 UTC 2011 年 4 月 10 日 (日) 1 時 21 分 10 秒 (日本時間)
composite number 合成数
67542541422488969201470977999545917764885665583557500429379430951208203195002814115238183825696879910681007365148275294727350351492337354818545199496158280781987537154505038380683921<182>
prime factors 素因数
271511218869471860596611149917557039541<39>
248765195426270128855273695905185781164444459135681071781539762368278807533856828891130215723482309481203848855092404756570858093995412384147181<144>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4058878550
Step 1 took 69672ms
Step 2 took 25966ms
********** Factor found in step 2: 271511218869471860596611149917557039541
Found probable prime factor of 39 digits: 271511218869471860596611149917557039541
Probable prime cofactor 248765195426270128855273695905185781164444459135681071781539762368278807533856828891130215723482309481203848855092404756570858093995412384147181 has 144 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 9, 2007 09:00:00 UTC 2007 年 8 月 9 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovApril 9, 2011 15:33:09 UTC 2011 年 4 月 10 日 (日) 0 時 33 分 9 秒 (日本時間)

8×10196+3

c195

name 名前Robert Backstrom
date 日付May 6, 2009 13:00:19 UTC 2009 年 5 月 6 日 (水) 22 時 0 分 19 秒 (日本時間)
composite number 合成数
148423005565862708719851576994434137291280148423005565862708719851576994434137291280148423005565862708719851576994434137291280148423005565862708719851576994434137291280148423005565862708719851577<195>
prime factors 素因数
3621665081282620076674432630274353389234788872072180469<55>
40981979900057019772289486633568158426513623345700595433142245023700808306621864377405722307822200045704430796237062488553288170254983146933<140>
factorization results 素因数分解の結果
Number: n
N=148423005565862708719851576994434137291280148423005565862708719851576994434137291280148423005565862708719851576994434137291280148423005565862708719851576994434137291280148423005565862708719851577
  ( 195 digits)
SNFS difficulty: 197 digits.
Divisors found:

Wed May  6 22:18:43 2009  prp55 factor: 3621665081282620076674432630274353389234788872072180469
Wed May  6 22:18:43 2009  prp140 factor: 40981979900057019772289486633568158426513623345700595433142245023700808306621864377405722307822200045704430796237062488553288170254983146933
Wed May  6 22:18:43 2009  elapsed time 03:51:22 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20050930-k8
Total time: 38.35 hours.
Scaled time: 77.31 units (timescale=2.016).
Factorization parameters were as follows:
name: KA_8_0_195_3
n: 148423005565862708719851576994434137291280148423005565862708719851576994434137291280148423005565862708719851576994434137291280148423005565862708719851576994434137291280148423005565862708719851577
m: 2000000000000000000000000000000000000000
deg: 5
c5: 5
c0: 6
skew: 1.04
type: snfs
lss: 1
rlim: 13500000
alim: 13500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 13500000/13500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [6750000, 17349990)
Primes: RFBsize:879640, AFBsize:878569, largePrimes:22008942 encountered
Relations: rels:24644624, finalFF:2697963
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2853378 hash collisions in 26648513 relations
Msieve: matrix is 1672355 x 1672603 (447.0 MB)

Total sieving time: 37.86 hours.
Total relation processing time: 0.48 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13500000,13500000,28,28,56,56,2.4,2.4,100000
total time: 38.35 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 3368968k/3407296k available (2747k kernel code, 36968k reserved, 1425k data, 416k init, 2489792k highmem)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.99 BogoMIPS (lpj=2830496)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830446)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830456)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830453)
Total of 4 processors activated (22643.70 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 9, 2007 09:00:00 UTC 2007 年 8 月 9 日 (木) 18 時 0 分 0 秒 (日本時間)

8×10197+3

c179

name 名前JMB
date 日付August 10, 2007 02:32:38 UTC 2007 年 8 月 10 日 (金) 11 時 32 分 38 秒 (日本時間)
composite number 合成数
63821820937488704481476054349279031490609342704461890016152691098165477845589139310829122849189761008396196028941548744085520375974890245836552817369939166360998344869610643498637<179>
prime factors 素因数
26076920319273076996675767301<29>
composite cofactor 合成数の残り
2447444719548378339619829614249789627085695960053062447396841606685367979050190055438702256834046939845645421862753151405036735916578790278144353058537<151>
factorization results 素因数分解の結果
A factor was found for 8*10^197+3 using GMP-ECM using factor method ECM
   Candidate number: 63821820937488704481476054349279031490609342704461890016152691098165477845589139310829122849189761008396196028941548744085520375974890245836552817369939166360998344869610643498637
   Factor: 26076920319273076996675767301
   Factor Type: probable
   Factor Length: 29
   Co-Factor: 2447444719548378339619829614249789627085695960053062447396841606685367979050190055438702256834046939845645421862753151405036735916578790278144353058537
   Co-Factor Type: Composite
   Co-Factor Length: 151
   B1: 1000000
   Sigma: 2545770276
   Finder: j_m_berg@yahoo.com
   Found on machine: Test2B

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 9, 2007 09:00:00 UTC 2007 年 8 月 9 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62100300Dmitry DomanovApril 9, 2011 15:33:18 UTC 2011 年 4 月 10 日 (日) 0 時 33 分 18 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:04:27 UTC 2014 年 1 月 9 日 (木) 14 時 4 分 27 秒 (日本時間)
1500Dmitry DomanovFebruary 27, 2014 12:34:57 UTC 2014 年 2 月 27 日 (木) 21 時 34 分 57 秒 (日本時間)
4511e61500 / 3664Dmitry DomanovApril 29, 2014 12:44:08 UTC 2014 年 4 月 29 日 (火) 21 時 44 分 8 秒 (日本時間)
5043e6100 / 7137Dmitry DomanovDecember 5, 2014 23:24:06 UTC 2014 年 12 月 6 日 (土) 8 時 24 分 6 秒 (日本時間)

8×10198+3

c197

name 名前Dmitry Domanov
date 日付July 9, 2009 05:16:57 UTC 2009 年 7 月 9 日 (木) 14 時 16 分 57 秒 (日本時間)
composite number 合成数
13722126929674099485420240137221269296740994854202401372212692967409948542024013722126929674099485420240137221269296740994854202401372212692967409948542024013722126929674099485420240137221269296741<197>
prime factors 素因数
1350678383321052486001773788083398163612589<43>
10159433288577617053454552915986316337776945515442442225397613087026136705762770406500515286186663991881893416281217389552885939501195077102302205387682969<155>
factorization results 素因数分解の結果
C197=P43*P155
C197=1350678383321052486001773788083398163612589<43>*10159433288577617053454552915986316337776945515442442225397613087026136705762770406500515286186663991881893416281217389552885939501195077102302205387682969<155>
software ソフトウェア
ECMNET

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 9, 2007 09:00:00 UTC 2007 年 8 月 9 日 (木) 18 時 0 分 0 秒 (日本時間)

8×10199+3

c166

name 名前Youcef Lemsafer
date 日付November 12, 2013 21:20:09 UTC 2013 年 11 月 13 日 (水) 6 時 20 分 9 秒 (日本時間)
composite number 合成数
7405813087236729613785003129716865196208350579008137252289697673195442592799136251425223509600217375085569541005574931526013112543150733301888712775050032951631902319<166>
prime factors 素因数
81574210081044711372117470236664073805672402597803347<53>
90786206570422045223799455798057329465676700394569252596618992729503954989288637948660786377031809671263318661877<113>
factorization results 素因数分解の結果
Sun Nov 10 22:48:28 2013 -> factmsieve.py (v0.76)
Sun Nov 10 22:48:28 2013 -> This is client 1 of 1
Sun Nov 10 22:48:28 2013 -> Running on 12 Cores with 2 hyper-threads per Core
Sun Nov 10 22:48:28 2013 -> Working with NAME = 80003_199
Sun Nov 10 22:48:28 2013 -> Selected lattice siever: gnfs-lasieve4I14e
Sun Nov 10 22:48:28 2013 -> Creating param file to detect parameter changes...
Sun Nov 10 22:48:28 2013 -> Running setup ...
Sun Nov 10 22:48:28 2013 -> Estimated minimum relations needed: 2.96093e+07
Sun Nov 10 22:48:28 2013 -> cleaning up before a restart
Sun Nov 10 22:48:28 2013 -> Running lattice siever ...
Sun Nov 10 22:48:28 2013 -> entering sieving loop
  ...<snip>...
Sun Nov 10 22:48:28 2013 -> Lattice sieving rational q from 7700000 to 7800000.
  ...<snip>...
Sun Nov 10 23:16:22 2013 Found 592112 relations, 2.0% of the estimated minimum (29609329).
  ...<snip>...
Sun Nov 10 23:44:26 2013 Found 1194263 relations, 4.0% of the estimated minimum (29609329).
  ...<snip>...
Mon Nov 11 00:39:31 2013 Found 2381752 relations, 8.0% of the estimated minimum (29609329).
  ...<snip>...
Mon Nov 11 02:32:17 2013 Found 4769604 relations, 16.1% of the estimated minimum (29609329).
  ...<snip>...
Mon Nov 11 06:22:32 2013 Found 9551052 relations, 32.3% of the estimated minimum (29609329).
  ...<snip>...
Mon Nov 11 14:09:56 2013 Found 19061637 relations, 64.4% of the estimated minimum (29609329).
  ...<snip>...
Tue Nov 12 05:52:54 2013 Found 36258814 relations, 122.5% of the estimated minimum (29609329).
  ...<snip>...
Tue Nov 12 05:52:56 2013  
Tue Nov 12 05:52:56 2013  commencing relation filtering
Tue Nov 12 05:52:56 2013  estimated available RAM is 4096.0 MB
Tue Nov 12 05:52:56 2013  commencing duplicate removal, pass 1
Tue Nov 12 05:56:27 2013  found 3165554 hash collisions in 36258813 relations
Tue Nov 12 05:57:16 2013  added 101 free relations
Tue Nov 12 05:57:16 2013  commencing duplicate removal, pass 2
Tue Nov 12 05:57:40 2013  found 2324495 duplicates and 33934419 unique relations
Tue Nov 12 05:57:40 2013  memory use: 130.6 MB
Tue Nov 12 05:57:40 2013  reading ideals above 13697024
Tue Nov 12 05:57:44 2013  commencing singleton removal, initial pass
Tue Nov 12 06:01:55 2013  memory use: 753.0 MB
Tue Nov 12 06:01:55 2013  reading all ideals from disk
Tue Nov 12 06:01:56 2013  memory use: 637.4 MB
Tue Nov 12 06:01:57 2013  commencing in-memory singleton removal
Tue Nov 12 06:01:59 2013  begin with 33934419 relations and 35923861 unique ideals
Tue Nov 12 06:02:15 2013  reduce to 11780765 relations and 9942020 ideals in 22 passes
Tue Nov 12 06:02:15 2013  max relations containing the same ideal: 54
Tue Nov 12 06:02:17 2013  reading ideals above 720000
Tue Nov 12 06:02:17 2013  commencing singleton removal, initial pass
Tue Nov 12 06:04:05 2013  memory use: 344.5 MB
Tue Nov 12 06:04:05 2013  reading all ideals from disk
Tue Nov 12 06:04:05 2013  memory use: 391.5 MB
Tue Nov 12 06:04:06 2013  commencing in-memory singleton removal
Tue Nov 12 06:04:07 2013  begin with 11780866 relations and 11610279 unique ideals
Tue Nov 12 06:04:17 2013  reduce to 11779999 relations and 11608914 ideals in 10 passes
Tue Nov 12 06:04:17 2013  max relations containing the same ideal: 159
Tue Nov 12 06:04:22 2013  removing 396244 relations and 377988 ideals in 18256 cliques
Tue Nov 12 06:04:23 2013  commencing in-memory singleton removal
Tue Nov 12 06:04:24 2013  begin with 11383755 relations and 11608914 unique ideals
Tue Nov 12 06:04:32 2013  reduce to 11371245 relations and 11218378 ideals in 9 passes
Tue Nov 12 06:04:32 2013  max relations containing the same ideal: 153
Tue Nov 12 06:04:37 2013  removing 282398 relations and 264142 ideals in 18256 cliques
Tue Nov 12 06:04:38 2013  commencing in-memory singleton removal
Tue Nov 12 06:04:38 2013  begin with 11088847 relations and 11218378 unique ideals
Tue Nov 12 06:04:48 2013  reduce to 11082344 relations and 10947720 ideals in 11 passes
Tue Nov 12 06:04:48 2013  max relations containing the same ideal: 151
Tue Nov 12 06:04:52 2013  relations with 0 large ideals: 2883
Tue Nov 12 06:04:52 2013  relations with 1 large ideals: 335
Tue Nov 12 06:04:52 2013  relations with 2 large ideals: 8280
Tue Nov 12 06:04:52 2013  relations with 3 large ideals: 82283
Tue Nov 12 06:04:52 2013  relations with 4 large ideals: 454681
Tue Nov 12 06:04:52 2013  relations with 5 large ideals: 1449335
Tue Nov 12 06:04:52 2013  relations with 6 large ideals: 2892063
Tue Nov 12 06:04:52 2013  relations with 7+ large ideals: 6192484
Tue Nov 12 06:04:52 2013  commencing 2-way merge
Tue Nov 12 06:05:00 2013  reduce to 6118010 relation sets and 5983399 unique ideals
Tue Nov 12 06:05:00 2013  ignored 13 oversize relation sets
Tue Nov 12 06:05:00 2013  commencing full merge
Tue Nov 12 06:06:59 2013  memory use: 575.3 MB
Tue Nov 12 06:07:00 2013  found 3134141 cycles, need 3131599
Tue Nov 12 06:07:00 2013  weight of 3131599 cycles is about 219228015 (70.01/cycle)
Tue Nov 12 06:07:00 2013  distribution of cycle lengths:
Tue Nov 12 06:07:00 2013  1 relations: 454549
Tue Nov 12 06:07:00 2013  2 relations: 437518
Tue Nov 12 06:07:00 2013  3 relations: 404136
Tue Nov 12 06:07:00 2013  4 relations: 343414
Tue Nov 12 06:07:00 2013  5 relations: 290629
Tue Nov 12 06:07:00 2013  6 relations: 236625
Tue Nov 12 06:07:00 2013  7 relations: 188831
Tue Nov 12 06:07:00 2013  8 relations: 150292
Tue Nov 12 06:07:00 2013  9 relations: 120340
Tue Nov 12 06:07:00 2013  10+ relations: 505265
Tue Nov 12 06:07:00 2013  heaviest cycle: 28 relations
Tue Nov 12 06:07:01 2013  commencing cycle optimization
Tue Nov 12 06:07:05 2013  start with 17603308 relations
Tue Nov 12 06:07:39 2013  pruned 267713 relations
Tue Nov 12 06:07:39 2013  memory use: 494.2 MB
Tue Nov 12 06:07:39 2013  distribution of cycle lengths:
Tue Nov 12 06:07:39 2013  1 relations: 454549
Tue Nov 12 06:07:39 2013  2 relations: 445082
Tue Nov 12 06:07:39 2013  3 relations: 414532
Tue Nov 12 06:07:39 2013  4 relations: 347249
Tue Nov 12 06:07:39 2013  5 relations: 293177
Tue Nov 12 06:07:39 2013  6 relations: 235921
Tue Nov 12 06:07:39 2013  7 relations: 187394
Tue Nov 12 06:07:39 2013  8 relations: 148322
Tue Nov 12 06:07:39 2013  9 relations: 118074
Tue Nov 12 06:07:39 2013  10+ relations: 487299
Tue Nov 12 06:07:39 2013  heaviest cycle: 28 relations
Tue Nov 12 06:07:42 2013  RelProcTime: 886
Tue Nov 12 06:07:42 2013  elapsed time 00:14:48
Tue Nov 12 06:07:42 2013 LatSieveTime: 2729.06
Tue Nov 12 06:07:42 2013 -> Running matrix solving step ...
Tue Nov 12 06:07:42 2013  
  ...<snip>...
Tue Nov 12 06:07:45 2013  
Tue Nov 12 06:07:45 2013  commencing linear algebra
Tue Nov 12 06:07:45 2013  read 3131599 cycles
Tue Nov 12 06:07:52 2013  cycles contain 10849983 unique relations
Tue Nov 12 06:08:56 2013  read 10849983 relations
Tue Nov 12 06:09:13 2013  using 20 quadratic characters above 536869902
Tue Nov 12 06:10:16 2013  building initial matrix
Tue Nov 12 06:12:44 2013  memory use: 1224.1 MB
Tue Nov 12 06:12:49 2013  read 3131599 cycles
Tue Nov 12 06:12:50 2013  matrix is 3131422 x 3131599 (898.7 MB) with weight 282420219 (90.18/col)
Tue Nov 12 06:12:50 2013  sparse part has weight 213661572 (68.23/col)
Tue Nov 12 06:13:23 2013  filtering completed in 2 passes
Tue Nov 12 06:13:24 2013  matrix is 3128227 x 3128404 (898.5 MB) with weight 282309762 (90.24/col)
Tue Nov 12 06:13:24 2013  sparse part has weight 213631475 (68.29/col)
Tue Nov 12 06:13:43 2013  matrix starts at (0, 0)
Tue Nov 12 06:13:44 2013  matrix is 3128227 x 3128404 (898.5 MB) with weight 282309762 (90.24/col)
Tue Nov 12 06:13:44 2013  sparse part has weight 213631475 (68.29/col)
Tue Nov 12 06:13:44 2013  saving the first 48 matrix rows for later
Tue Nov 12 06:13:45 2013  matrix includes 64 packed rows
Tue Nov 12 06:13:46 2013  matrix is 3128179 x 3128404 (856.7 MB) with weight 225199642 (71.99/col)
Tue Nov 12 06:13:46 2013  sparse part has weight 205801612 (65.78/col)
Tue Nov 12 06:13:46 2013  using block size 65536 for processor cache size 15360 kB
Tue Nov 12 06:14:06 2013  commencing Lanczos iteration (24 threads)
Tue Nov 12 06:14:06 2013  memory use: 1275.2 MB
Tue Nov 12 06:14:18 2013  linear algebra at 0.0%, ETA 6h52m
Tue Nov 12 06:14:22 2013  checkpointing every 460000 dimensions
Tue Nov 12 12:57:52 2013  lanczos halted after 49470 iterations (dim = 3128179)
Tue Nov 12 12:57:58 2013  recovered 40 nontrivial dependencies
Tue Nov 12 12:58:00 2013  BLanczosTime: 24615
Tue Nov 12 12:58:00 2013  elapsed time 06:50:18
Tue Nov 12 12:58:00 2013 -> Running square root step ...
Tue Nov 12 12:58:00 2013  
Tue Nov 12 12:58:00 2013  Msieve v. 1.50 (SVN 708)
Tue Nov 12 12:58:00 2013  random seeds: 7c473480 7a902638
Tue Nov 12 12:58:00 2013  factoring 7405813087236729613785003129716865196208350579008137252289697673195442592799136251425223509600217375085569541005574931526013112543150733301888712775050032951631902319 (166 digits)
Tue Nov 12 12:58:02 2013  searching for 15-digit factors
Tue Nov 12 12:58:03 2013  commencing number field sieve (166-digit input)
Tue Nov 12 12:58:03 2013  R0: -10000000000000000000000000000000000000000
Tue Nov 12 12:58:03 2013  R1: 1
Tue Nov 12 12:58:03 2013  A0: 15
Tue Nov 12 12:58:03 2013  A1: 0
Tue Nov 12 12:58:03 2013  A2: 0
Tue Nov 12 12:58:03 2013  A3: 0
Tue Nov 12 12:58:03 2013  A4: 0
Tue Nov 12 12:58:03 2013  A5: 4
Tue Nov 12 12:58:03 2013  skew 1.30, size 1.339e-013, alpha -0.156, combined = 2.266e-011 rroots = 1
Tue Nov 12 12:58:03 2013  
Tue Nov 12 12:58:03 2013  commencing square root phase
Tue Nov 12 12:58:03 2013  reading relations for dependency 1
Tue Nov 12 12:58:04 2013  read 1565670 cycles
Tue Nov 12 12:58:07 2013  cycles contain 5426442 unique relations
Tue Nov 12 12:58:44 2013  read 5426442 relations
Tue Nov 12 12:59:15 2013  multiplying 5426442 relations
Tue Nov 12 13:07:20 2013  multiply complete, coefficients have about 140.12 million bits
Tue Nov 12 13:07:21 2013  initial square root is modulo 106801
Tue Nov 12 13:17:15 2013  sqrtTime: 1152
Tue Nov 12 13:17:15 2013  prp53 factor: 81574210081044711372117470236664073805672402597803347
Tue Nov 12 13:17:15 2013  prp113 factor: 90786206570422045223799455798057329465676700394569252596618992729503954989288637948660786377031809671263318661877
Tue Nov 12 13:17:15 2013  elapsed time 00:19:15
Tue Nov 12 13:17:15 2013 -> Computing 1.38426e+09 scale for this machine...
Tue Nov 12 13:17:15 2013 -> procrels -speedtest> PIPE
Tue Nov 12 13:17:20 2013 -> Factorization summary written to s201-80003_199.txt



Number: 80003_199
N = 7405813087236729613785003129716865196208350579008137252289697673195442592799136251425223509600217375085569541005574931526013112543150733301888712775050032951631902319 (166 digits)
SNFS difficulty: 201 digits.
Divisors found:
r1=81574210081044711372117470236664073805672402597803347 (pp53)
r2=90786206570422045223799455798057329465676700394569252596618992729503954989288637948660786377031809671263318661877 (pp113)
Version: Msieve v. 1.50 (SVN 708)
Total time: 38.72 hours.
Factorization parameters were as follows:
n: 7405813087236729613785003129716865196208350579008137252289697673195442592799136251425223509600217375085569541005574931526013112543150733301888712775050032951631902319
m: 10000000000000000000000000000000000000000
deg: 5
c5: 4
c0: 15
skew: 1.30
# Murphy_E = 2.266e-11
type: snfs
lss: 1
rlim: 15400000
alim: 15400000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 15400000/15400000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 36258814
Relations: 5426442 relations
Pruned matrix : 3128179 x 3128404
Polynomial selection time: 0.00 hours.
Total sieving time: 31.31 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 6.84 hours.
time per square root: 0.32 hours.
Prototype def-par.txt line would be: snfs,201,5,0,0,0,0,0,0,0,0,15400000,15400000,29,29,56,56,2.6,2.6,100000
total time: 38.72 hours.
Intel64 Family 6 Model 45 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 24, speed: 2.00GHz
software ソフトウェア
GGNFS (SVN430), msieve 1.50 (SVN708)
execution environment 実行環境
Windows 7 Pro 64 bits,  2x Intel Xeon E5-2620, 32 GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 9, 2007 09:00:00 UTC 2007 年 8 月 9 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62348300Dmitry DomanovApril 9, 2011 15:33:26 UTC 2011 年 4 月 10 日 (日) 0 時 33 分 26 秒 (日本時間)
2048Youcef LemsaferMay 7, 2013 06:30:33 UTC 2013 年 5 月 7 日 (火) 15 時 30 分 33 秒 (日本時間)
4511e642981216Youcef LemsaferMay 7, 2013 14:45:24 UTC 2013 年 5 月 7 日 (火) 23 時 45 分 24 秒 (日本時間)
3082Youcef LemsaferOctober 25, 2013 19:05:23 UTC 2013 年 10 月 26 日 (土) 4 時 5 分 23 秒 (日本時間)
5043e657501081Youcef LemsaferOctober 25, 2013 19:05:23 UTC 2013 年 10 月 26 日 (土) 4 時 5 分 23 秒 (日本時間)
2093Youcef LemsaferOctober 26, 2013 08:31:04 UTC 2013 年 10 月 26 日 (土) 17 時 31 分 4 秒 (日本時間)
1288Youcef LemsaferOctober 26, 2013 21:25:23 UTC 2013 年 10 月 27 日 (日) 6 時 25 分 23 秒 (日本時間)
1288Youcef LemsaferOctober 27, 2013 09:18:24 UTC 2013 年 10 月 27 日 (日) 18 時 18 分 24 秒 (日本時間)
5511e7769 / 15430529Youcef LemsaferOctober 26, 2013 14:04:56 UTC 2013 年 10 月 26 日 (土) 23 時 4 分 56 秒 (日本時間)
240Youcef LemsaferOctober 27, 2013 09:18:24 UTC 2013 年 10 月 27 日 (日) 18 時 18 分 24 秒 (日本時間)

8×10200+3

c168

name 名前Serge Batalov
date 日付October 21, 2008 02:42:11 UTC 2008 年 10 月 21 日 (火) 11 時 42 分 11 秒 (日本時間)
composite number 合成数
814372162762298547719796360147606451187633049413406961401070575564517787928529442152956106540550817451678848078329294223810141009212051663683988318315972592459975738079<168>
prime factors 素因数
7546527715304377195290179372975899421<37>
composite cofactor 合成数の残り
107913492600146389511828126361061001602717552095077467114432068529999855181951097623769940565256091764288088215600992621367406387499<132>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4043050459
Step 1 took 24875ms
Step 2 took 17112ms
********** Factor found in step 2: 7546527715304377195290179372975899421
Found probable prime factor of 37 digits: 7546527715304377195290179372975899421
Composite cofactor 107913492600146389511828126361061001602717552095077467114432068529999855181951097623769940565256091764288088215600992621367406387499 has 132 digits
software ソフトウェア
GMP-ECM 6.2.1

c132

name 名前Erik Branger
date 日付November 10, 2010 16:25:29 UTC 2010 年 11 月 11 日 (木) 1 時 25 分 29 秒 (日本時間)
composite number 合成数
107913492600146389511828126361061001602717552095077467114432068529999855181951097623769940565256091764288088215600992621367406387499<132>
prime factors 素因数
34692193249030294673295482902597730861333432038265611757<56>
3110598739765833446665105644263182259303399315680570519519952707333428543607<76>
factorization results 素因数分解の結果
Number: 80003_200
N = 107913492600146389511828126361061001602717552095077467114432068529999855181951097623769940565256091764288088215600992621367406387499 (132 digits)
Divisors found:
r1=34692193249030294673295482902597730861333432038265611757 (pp56)
r2=3110598739765833446665105644263182259303399315680570519519952707333428543607 (pp76)
Version: Msieve v. 1.47
Total time: 139.72 hours.
Factorization parameters were as follows:
# Murphy_E = 6.430191e-11, selected by Jeff Gilchrist
n: 107913492600146389511828126361061001602717552095077467114432068529999855181951097623769940565256091764288088215600992621367406387499
Y0: -19033392627987988289967557
Y1: 304612724316973
c0: -116499866917249617995354782911840
c1: 4921936071381268461321224052
c2: -23815585880767150741301
c3: -205976711597598856
c4: 68183070720
c5: 43200
skew: 482533.17
type: gnfs
# selected mechanically
rlim: 10400000
alim: 10400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 10400000/10400000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [5200000, 11300000)
Relations: 19744320
Relations in full relation-set: 2667464 relations
Pruned matrix : 1581492 x 1581717
Polynomial selection time: 0.00 hours.
Total sieving time: 136.76 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 2.05 hours.
time per square root: 0.77 hours.
Prototype def-par.txt line would be: gnfs,131,5,65,2000,1e-05,0.28,250,20,50000,3600,10400000,10400000,28,28,54,54,2.6,2.6,100000
total time: 139.72 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 9, 2007 09:00:00 UTC 2007 年 8 月 9 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiApril 20, 2009 13:05:56 UTC 2009 年 4 月 20 日 (月) 22 時 5 分 56 秒 (日本時間)
4511e63962Wataru SakaiJune 7, 2010 08:16:10 UTC 2010 年 6 月 7 日 (月) 17 時 16 分 10 秒 (日本時間)

8×10201+3

c152

name 名前Serge Batalov
date 日付January 9, 2014 05:10:20 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 20 秒 (日本時間)
composite number 合成数
28226818868567727141201566770428615569646411121717142348988688113027098111522104116455115046002124174506065474633916617832456441675752150041583942663929<152>
prime factors 素因数
653992126219270839674689511423657<33>
composite cofactor 合成数の残り
43160793130258304960852475959677110543420223182613610311399515686440012439757585701882603906995422954649389492937375697<119>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2923002106
Step 1 took 9802ms
Step 2 took 4966ms
********** Factor found in step 2: 653992126219270839674689511423657
Found probable prime factor of 33 digits: 653992126219270839674689511423657
Composite cofactor 

c119

name 名前Dmitry Domanov
date 日付January 10, 2014 12:16:44 UTC 2014 年 1 月 10 日 (金) 21 時 16 分 44 秒 (日本時間)
composite number 合成数
43160793130258304960852475959677110543420223182613610311399515686440012439757585701882603906995422954649389492937375697<119>
prime factors 素因数
19937262158346323791259586787139940454884250602677<50>
2164830496156661544761592867569268811883498399071975164919220296201261<70>
factorization results 素因数分解の結果
N=43160793130258304960852475959677110543420223182613610311399515686440012439757585701882603906995422954649389492937375697
  ( 119 digits)
Divisors found:
 r1=19937262158346323791259586787139940454884250602677 (pp50)
 r2=2164830496156661544761592867569268811883498399071975164919220296201261 (pp70)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 34.81 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 43160793130258304960852475959677110543420223182613610311399515686440012439757585701882603906995422954649389492937375697
skew: 546246.50
c0: -244383521357831591738981549025
c1: 24665406884742078396411545
c2: 105884632683691088351
c3: -159050488484145
c4: -294873246
c5: 216
Y0: -182023571232503930380106
Y1: 763983422237
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 400000
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2450000, 4050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 542022 x 542251
Total sieving time: 34.21 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.26 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
gnfs,118,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4900000,4900000,27,27,54,54,2.5,2.5,100000
total time: 34.81 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
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6580 / 2318280CypDecember 28, 2013 22:52:17 UTC 2013 年 12 月 29 日 (日) 7 時 52 分 17 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:04:28 UTC 2014 年 1 月 9 日 (木) 14 時 4 分 28 秒 (日本時間)

8×10202+3

c189

name 名前Serge Batalov
date 日付November 26, 2013 23:36:53 UTC 2013 年 11 月 27 日 (水) 8 時 36 分 53 秒 (日本時間)
composite number 合成数
214088590819956876193972886290722384592532334683214236948757537372886927031425144999022578004366789027460279550342492520038253024376377470167020047308947566684507526524977146622658925923081<189>
prime factors 素因数
125498349403910576121001916671<30>
composite cofactor 合成数の残り
1705907622186509766016214725830792115159326048370022000969793502503494745563525347472742523705129945144812048123809811657133148488336975925959577068371322270711<160>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4119984309
Step 1 took 4570ms
Step 2 took 2331ms
********** Factor found in step 2: 125498349403910576121001916671
Found probable prime factor of 30 digits: 125498349403910576121001916671
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62080280CypDecember 28, 2013 22:58:53 UTC 2013 年 12 月 29 日 (日) 7 時 58 分 53 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:04:28 UTC 2014 年 1 月 9 日 (木) 14 時 4 分 28 秒 (日本時間)
1500Dmitry DomanovFebruary 27, 2014 12:34:45 UTC 2014 年 2 月 27 日 (木) 21 時 34 分 45 秒 (日本時間)
4511e61500 / 3173Dmitry DomanovApril 29, 2014 12:44:38 UTC 2014 年 4 月 29 日 (火) 21 時 44 分 38 秒 (日本時間)
5043e6240 / 7137Dmitry DomanovNovember 25, 2014 23:49:51 UTC 2014 年 11 月 26 日 (水) 8 時 49 分 51 秒 (日本時間)

8×10203+3

c123

name 名前Serge Batalov
date 日付November 26, 2013 23:06:41 UTC 2013 年 11 月 27 日 (水) 8 時 6 分 41 秒 (日本時間)
composite number 合成数
179849209690289636129249954535017433650482375023117095111871433805067426634796833169865804024942372257676528170637471565547<123>
prime factors 素因数
24865824389973326287053640456925117<35>
7232786931560991427546416170378991425421187610607342509794976715383313958351687308494791<88>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4199673
Step 1 took 2760ms
Step 2 took 1845ms
********** Factor found in step 2: 24865824389973326287053640456925117
Found probable prime factor of 35 digits: 24865824389973326287053640456925117
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 KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)

8×10206+3

c180

composite cofactor 合成数の残り
722232843627579875490718259615168609558634027448844119880005973643000318426006789359100671279086288979887647178589542571679545987033888301230284610397428070310321156941768406043191<180>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 4, 2014 02:36:26 UTC 2014 年 1 月 4 日 (土) 11 時 36 分 26 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:04:29 UTC 2014 年 1 月 9 日 (木) 14 時 4 分 29 秒 (日本時間)
1500Dmitry DomanovFebruary 27, 2014 12:34:32 UTC 2014 年 2 月 27 日 (木) 21 時 34 分 32 秒 (日本時間)
4511e61500 / 3311Dmitry DomanovApril 30, 2014 12:21:44 UTC 2014 年 4 月 30 日 (水) 21 時 21 分 44 秒 (日本時間)
5043e6200 / 7137Dmitry DomanovNovember 25, 2014 23:51:38 UTC 2014 年 11 月 26 日 (水) 8 時 51 分 38 秒 (日本時間)

8×10207+3

c178

composite cofactor 合成数の残り
5897777337961960368713033892380132730225095594282233867114426720281788319466116433589392818201139161119498447438522207908622124433940229627555448419815472827083706596273280651867<178>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 5, 2014 15:20:35 UTC 2014 年 1 月 6 日 (月) 0 時 20 分 35 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:04:30 UTC 2014 年 1 月 9 日 (木) 14 時 4 分 30 秒 (日本時間)
1500Dmitry DomanovFebruary 27, 2014 12:34:23 UTC 2014 年 2 月 27 日 (木) 21 時 34 分 23 秒 (日本時間)
4511e61500 / 3311Dmitry DomanovApril 30, 2014 12:22:00 UTC 2014 年 4 月 30 日 (水) 21 時 22 分 0 秒 (日本時間)
5043e6200 / 7137Dmitry DomanovNovember 25, 2014 23:52:10 UTC 2014 年 11 月 26 日 (水) 8 時 52 分 10 秒 (日本時間)

8×10208+3

c177

name 名前Cyp
date 日付January 2, 2014 10:40:21 UTC 2014 年 1 月 2 日 (木) 19 時 40 分 21 秒 (日本時間)
composite number 合成数
334389273105561035647131974904979294789081648995657923485952088764620324923856435342469768082053561655836408431454904893728799040938386663172773306814547948068738669813951394001<177>
prime factors 素因数
753828162708691538643142150295990516239<39>
composite cofactor 合成数の残り
443588193765562497097956938118755633386361468782002865931953518423954321859351363107333749429020240064328549158086881350452954028174608159<138>
factorization results 素因数分解の結果
Run 185 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=801811920
Step 1 took 16105ms
Step 2 took 5519ms
********** Factor found in step 2: 753828162708691538643142150295990516239
Found probable prime factor of 39 digits: 753828162708691538643142150295990516239
Composite cofactor 443588193765562497097956938118755633386361468782002865931953518423954321859351363107333749429020240064328549158086881350452954028174608159 has 138 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c138

name 名前Erik Branger
date 日付May 16, 2014 06:02:13 UTC 2014 年 5 月 16 日 (金) 15 時 2 分 13 秒 (日本時間)
composite number 合成数
443588193765562497097956938118755633386361468782002865931953518423954321859351363107333749429020240064328549158086881350452954028174608159<138>
prime factors 素因数
1333903091079681407379039279799914822235828140058201<52>
332549041030046253552112785643483813233258855668027370980074963993846321082209098914359<87>
factorization results 素因数分解の結果
Number: 80003_208
N = 443588193765562497097956938118755633386361468782002865931953518423954321859351363107333749429020240064328549158086881350452954028174608159 (138 digits)
Divisors found:
r1=1333903091079681407379039279799914822235828140058201 (pp52)
r2=332549041030046253552112785643483813233258855668027370980074963993846321082209098914359 (pp87)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 159.18 hours.
Factorization parameters were as follows:
# Murphy_E = 2.725e-11, selected by Erik Branger
# expecting poly E from 2.85e-011 to > 3.28e-011
n: 443588193765562497097956938118755633386361468782002865931953518423954321859351363107333749429020240064328549158086881350452954028174608159
Y0: -917032235039593893211724120
Y1: 136972644596767
c0: 196714437829801380097500227730537
c1: 20728228610488867645241550335
c2: -45607710873883557824605
c3: -47818701155413231
c4: 9140678568
c5: 684
skew: 2039820.59
type: gnfs
# selected mechanically
rlim: 15800000
alim: 15800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 15800000/15800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 0
Relations: 4017194 relations
Pruned matrix : 2450765 x 2450991
Polynomial selection time: 0.00 hours.
Total sieving time: 154.32 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 4.50 hours.
time per square root: 0.23 hours.
Prototype def-par.txt line would be: gnfs,137,5,65,2000,1e-05,0.28,250,20,50000,3600,15800000,15800000,28,28,55,55,2.6,2.6,100000
total time: 159.18 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6290CypJanuary 2, 2014 10:40:20 UTC 2014 年 1 月 2 日 (木) 19 時 40 分 20 秒 (日本時間)
4511e62090 / 4411230Ignacio SantosJanuary 4, 2014 15:28:50 UTC 2014 年 1 月 5 日 (日) 0 時 28 分 50 秒 (日本時間)
230Ignacio SantosJanuary 4, 2014 18:30:51 UTC 2014 年 1 月 5 日 (日) 3 時 30 分 51 秒 (日本時間)
230Ignacio SantosJanuary 4, 2014 20:55:46 UTC 2014 年 1 月 5 日 (日) 5 時 55 分 46 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:23:14 UTC 2014 年 1 月 6 日 (月) 11 時 23 分 14 秒 (日本時間)
1000Dmitry DomanovApril 29, 2014 12:44:59 UTC 2014 年 4 月 29 日 (火) 21 時 44 分 59 秒 (日本時間)

8×10209+3

c162

composite cofactor 合成数の残り
146506669915017384430523650120650873106908588609988975057198020136438976357883582045056068107853718039069668223192834451636313266927185829201520232957841346426157<162>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:26:19 UTC 2014 年 1 月 7 日 (火) 5 時 26 分 19 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:04:31 UTC 2014 年 1 月 9 日 (木) 14 時 4 分 31 秒 (日本時間)
1500Dmitry DomanovFebruary 27, 2014 12:34:07 UTC 2014 年 2 月 27 日 (木) 21 時 34 分 7 秒 (日本時間)
4511e61500 / 3198Dmitry DomanovApril 29, 2014 12:45:15 UTC 2014 年 4 月 29 日 (火) 21 時 45 分 15 秒 (日本時間)
5043e6240 / 7143Dmitry DomanovNovember 25, 2014 23:50:18 UTC 2014 年 11 月 26 日 (水) 8 時 50 分 18 秒 (日本時間)

8×10211+3

c202

composite cofactor 合成数の残り
7375659867708691324718337588759784520071150081045967934130830201334586875530133216763143480026210104339760333093716798504560032091709978536679505897903680483896480580656065983356814473332000082626198451<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 5, 2014 21:06:09 UTC 2014 年 1 月 6 日 (月) 6 時 6 分 9 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:04:31 UTC 2014 年 1 月 9 日 (木) 14 時 4 分 31 秒 (日本時間)
1500Dmitry DomanovFebruary 27, 2014 12:33:55 UTC 2014 年 2 月 27 日 (木) 21 時 33 分 55 秒 (日本時間)
4511e61500 / 3175Dmitry DomanovApril 30, 2014 12:22:21 UTC 2014 年 4 月 30 日 (水) 21 時 22 分 21 秒 (日本時間)
5043e6239 / 713739CypFebruary 2, 2014 10:20:42 UTC 2014 年 2 月 2 日 (日) 19 時 20 分 42 秒 (日本時間)
200Dmitry DomanovDecember 5, 2014 23:23:17 UTC 2014 年 12 月 6 日 (土) 8 時 23 分 17 秒 (日本時間)

8×10212+3

c169

composite cofactor 合成数の残り
2485456113172380726312479108498278110687407449041358090047090800057960363625114309844659142901570695431760389312108683505914215286708372360172355121561810690792029321783<169>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 3, 2014 19:13:43 UTC 2014 年 1 月 4 日 (土) 4 時 13 分 43 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:04:32 UTC 2014 年 1 月 9 日 (木) 14 時 4 分 32 秒 (日本時間)
1500Dmitry DomanovFebruary 27, 2014 12:33:44 UTC 2014 年 2 月 27 日 (木) 21 時 33 分 44 秒 (日本時間)
4511e61500 / 3311Dmitry DomanovApril 29, 2014 12:45:32 UTC 2014 年 4 月 29 日 (火) 21 時 45 分 32 秒 (日本時間)
5043e6200 / 7137Dmitry DomanovDecember 5, 2014 23:21:04 UTC 2014 年 12 月 6 日 (土) 8 時 21 分 4 秒 (日本時間)

8×10213+3

c169

composite cofactor 合成数の残り
8478931988097360101534734452188083231590876883775934480828099651875389677353420847988390950002071120149162912185286256120795780763246959948847999286998661977051873924003<169>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:26:20 UTC 2014 年 1 月 7 日 (火) 5 時 26 分 20 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:04:33 UTC 2014 年 1 月 9 日 (木) 14 時 4 分 33 秒 (日本時間)
1500Dmitry DomanovFebruary 27, 2014 12:33:33 UTC 2014 年 2 月 27 日 (木) 21 時 33 分 33 秒 (日本時間)
4511e61500 / 3251Dmitry DomanovApril 29, 2014 12:45:54 UTC 2014 年 4 月 29 日 (火) 21 時 45 分 54 秒 (日本時間)
5043e6200 / 7114Dmitry DomanovDecember 5, 2014 23:14:40 UTC 2014 年 12 月 6 日 (土) 8 時 14 分 40 秒 (日本時間)
5511e712 / 17589Dmitry DomanovDecember 5, 2014 23:14:40 UTC 2014 年 12 月 6 日 (土) 8 時 14 分 40 秒 (日本時間)

8×10214+3

c192

composite cofactor 合成数の残り
663607874912019158070786202046087489934380637891997500216263074395169253562222507465600176198119079460863278751791910761696025869600423814819852331678034042804043037074298791155166818516071869<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 4, 2014 13:44:17 UTC 2014 年 1 月 4 日 (土) 22 時 44 分 17 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:04:33 UTC 2014 年 1 月 9 日 (木) 14 時 4 分 33 秒 (日本時間)
1500Dmitry DomanovFebruary 27, 2014 12:33:22 UTC 2014 年 2 月 27 日 (木) 21 時 33 分 22 秒 (日本時間)
4511e61500 / 3238Dmitry DomanovApril 30, 2014 12:23:04 UTC 2014 年 4 月 30 日 (水) 21 時 23 分 4 秒 (日本時間)
5043e6200 / 7113Dmitry DomanovDecember 5, 2014 23:07:20 UTC 2014 年 12 月 6 日 (土) 8 時 7 分 20 秒 (日本時間)
5511e710 / 17588Dmitry DomanovDecember 5, 2014 23:07:20 UTC 2014 年 12 月 6 日 (土) 8 時 7 分 20 秒 (日本時間)

8×10215+3

c211

name 名前Serge Batalov
date 日付November 27, 2013 17:38:56 UTC 2013 年 11 月 28 日 (木) 2 時 38 分 56 秒 (日本時間)
composite number 合成数
3401346082712233366354734886331265598360551188132703517417017784788329981590214327320036904604997427732024948873516694231742211980391239833163974642964953380300253825451422400414964222090892470695277656132414403<211>
prime factors 素因数
73000936938913330110120940456946246327<38>
46593183941713731878819796868308808791438101534279429907102030657837877182660906661349741320035489506050568544190984465227152812412522855372074314192829670012229996507611989<173>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2752252946
Step 1 took 5353ms
Step 2 took 2601ms
********** Factor found in step 2: 73000936938913330110120940456946246327
Found probable prime factor of 38 digits: 73000936938913330110120940456946246327
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 KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)

8×10217+3

c194

composite cofactor 合成数の残り
81013971346499457862878782936061674204552998676188850031086034642191000108678901216691340500964188582125312356659106025031927378451778445585966330087183197083452219909463580607568080315724710427<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:26:21 UTC 2014 年 1 月 7 日 (火) 5 時 26 分 21 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:04:34 UTC 2014 年 1 月 9 日 (木) 14 時 4 分 34 秒 (日本時間)
1500Dmitry DomanovFebruary 27, 2014 12:33:11 UTC 2014 年 2 月 27 日 (木) 21 時 33 分 11 秒 (日本時間)
4511e61500 / 3198Dmitry DomanovApril 30, 2014 12:23:21 UTC 2014 年 4 月 30 日 (水) 21 時 23 分 21 秒 (日本時間)
5043e6240 / 7143Dmitry DomanovDecember 4, 2014 20:10:41 UTC 2014 年 12 月 5 日 (金) 5 時 10 分 41 秒 (日本時間)

8×10218+3

c188

name 名前Dmitry Domanov
date 日付February 28, 2014 18:52:36 UTC 2014 年 3 月 1 日 (土) 3 時 52 分 36 秒 (日本時間)
composite number 合成数
76004116874780161076439130833316605245421983420533772741070702601482248272803416903276593597101694297570974872167407257351547789118308827137231647688484870859671912827460619810772993177777<188>
prime factors 素因数
583672316025277316487847159645291192951<39>
composite cofactor 合成数の残り
130217100910930684272138076283597021480192393554611153190256905506268747657559947639142161664815498625681676532608397650215291984467105880528363823127<150>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=764220761
Step 1 took 28663ms
Step 2 took 8528ms
********** Factor found in step 2: 583672316025277316487847159645291192951
Found probable prime factor of 39 digits: 583672316025277316487847159645291192951

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 4, 2014 07:48:24 UTC 2014 年 1 月 4 日 (土) 16 時 48 分 24 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:04:35 UTC 2014 年 1 月 9 日 (木) 14 時 4 分 35 秒 (日本時間)
1500Dmitry DomanovFebruary 27, 2014 12:33:00 UTC 2014 年 2 月 27 日 (木) 21 時 33 分 0 秒 (日本時間)
4511e638801500Dmitry DomanovApril 29, 2014 12:46:27 UTC 2014 年 4 月 29 日 (火) 21 時 46 分 27 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:02 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 2 秒 (日本時間)
1480Ignacio SantosJanuary 16, 2016 18:05:00 UTC 2016 年 1 月 17 日 (日) 3 時 5 分 0 秒 (日本時間)
5043e639 / 6603CypJanuary 29, 2014 15:44:40 UTC 2014 年 1 月 30 日 (木) 0 時 44 分 40 秒 (日本時間)

8×10219+3

c155

composite cofactor 合成数の残り
18105752166589910044726998374942186646150383016862580216206988142002837710117808421337935922538404767282991418841378139100534067811458724384301296464818837<155>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 1, 2014 06:33:18 UTC 2014 年 1 月 1 日 (水) 15 時 33 分 18 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:04:36 UTC 2014 年 1 月 9 日 (木) 14 時 4 分 36 秒 (日本時間)
1500Dmitry DomanovFebruary 27, 2014 12:32:49 UTC 2014 年 2 月 27 日 (木) 21 時 32 分 49 秒 (日本時間)
4511e61500 / 3238Dmitry DomanovApril 30, 2014 12:24:01 UTC 2014 年 4 月 30 日 (水) 21 時 24 分 1 秒 (日本時間)
5043e6200 / 7113Dmitry DomanovDecember 5, 2014 23:06:27 UTC 2014 年 12 月 6 日 (土) 8 時 6 分 27 秒 (日本時間)
5511e710 / 17588Dmitry DomanovDecember 5, 2014 23:06:27 UTC 2014 年 12 月 6 日 (土) 8 時 6 分 27 秒 (日本時間)

8×10220+3

c212

name 名前Serge Batalov
date 日付November 27, 2013 17:38:32 UTC 2013 年 11 月 28 日 (木) 2 時 38 分 32 秒 (日本時間)
composite number 合成数
27789744669031361114873311832368514098821444327605898104718119680208526685185861357275786086449274925561721238801497550573520286751731767526376333070708319778899844838635403387789483612169940234266998712477160829<212>
prime factors 素因数
2536408159548180748263956348854209271<37>
composite cofactor 合成数の残り
10956337829311212070331776733820690992802737318256373552345282629217371917938605039638420100640494629562820046801643166940909592435888668704208115411380855823728060824839533099<176>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2505410671
Step 1 took 6124ms
Step 2 took 3310ms
********** Factor found in step 2: 2536408159548180748263956348854209271
Found probable prime factor of 37 digits: 2536408159548180748263956348854209271
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 1, 2014 22:47:27 UTC 2014 年 1 月 2 日 (木) 7 時 47 分 27 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:04:36 UTC 2014 年 1 月 9 日 (木) 14 時 4 分 36 秒 (日本時間)
1500Dmitry DomanovFebruary 27, 2014 12:32:37 UTC 2014 年 2 月 27 日 (木) 21 時 32 分 37 秒 (日本時間)
4511e61500 / 3171Dmitry DomanovApril 30, 2014 12:24:22 UTC 2014 年 4 月 30 日 (水) 21 時 24 分 22 秒 (日本時間)
5043e6240 / 7137Dmitry DomanovNovember 27, 2014 00:05:58 UTC 2014 年 11 月 27 日 (木) 9 時 5 分 58 秒 (日本時間)

8×10222+3

c216

composite cofactor 合成数の残り
145737188157257640012494777826662483766471239776968908045718411742278429331299668030724241138718977038614142814028071496405583534160696709744332704301267332409930364403269154744165379792114280981991018836476917879991<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 1, 2014 04:47:02 UTC 2014 年 1 月 1 日 (水) 13 時 47 分 2 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:04:37 UTC 2014 年 1 月 9 日 (木) 14 時 4 分 37 秒 (日本時間)
1500Dmitry DomanovFebruary 27, 2014 12:32:27 UTC 2014 年 2 月 27 日 (木) 21 時 32 分 27 秒 (日本時間)
4511e61500 / 3175Dmitry DomanovApril 30, 2014 12:24:40 UTC 2014 年 4 月 30 日 (水) 21 時 24 分 40 秒 (日本時間)
5043e6239 / 713739CypJanuary 13, 2014 06:36:57 UTC 2014 年 1 月 13 日 (月) 15 時 36 分 57 秒 (日本時間)
200Dmitry DomanovDecember 4, 2014 20:11:37 UTC 2014 年 12 月 5 日 (金) 5 時 11 分 37 秒 (日本時間)

8×10223+3

c194

composite cofactor 合成数の残り
32153211363068807383477364137198721051621286563362419852691247486891814302560710791411686559411510483186302577427921244863934954431986856615483835039482448828634030441194914307086931483530805013<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 4, 2014 09:54:16 UTC 2014 年 1 月 4 日 (土) 18 時 54 分 16 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:04:38 UTC 2014 年 1 月 9 日 (木) 14 時 4 分 38 秒 (日本時間)
1500Dmitry DomanovFebruary 27, 2014 12:32:11 UTC 2014 年 2 月 27 日 (木) 21 時 32 分 11 秒 (日本時間)
4511e61500 / 3171Dmitry DomanovApril 25, 2014 12:56:36 UTC 2014 年 4 月 25 日 (金) 21 時 56 分 36 秒 (日本時間)
5043e6240 / 7137Dmitry DomanovDecember 5, 2014 00:03:30 UTC 2014 年 12 月 5 日 (金) 9 時 3 分 30 秒 (日本時間)

8×10224+3

c181

composite cofactor 合成数の残り
2376322119052367963078608135843207280722001489616315587037021419616201358192645162787290747057568366900022699052070408739535076688838712161397716474524512908693787063366471473563343<181>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 1, 2014 14:02:21 UTC 2014 年 1 月 1 日 (水) 23 時 2 分 21 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:04:39 UTC 2014 年 1 月 9 日 (木) 14 時 4 分 39 秒 (日本時間)
1500Dmitry DomanovFebruary 27, 2014 12:32:00 UTC 2014 年 2 月 27 日 (木) 21 時 32 分 0 秒 (日本時間)
4511e61500 / 3171Dmitry DomanovApril 30, 2014 12:25:16 UTC 2014 年 4 月 30 日 (水) 21 時 25 分 16 秒 (日本時間)
5043e6240 / 7137Dmitry DomanovNovember 27, 2014 00:06:22 UTC 2014 年 11 月 27 日 (木) 9 時 6 分 22 秒 (日本時間)

8×10225+3

c204

composite cofactor 合成数の残り
182797801076194446104611677334713489257101343932540577344436942153971448316479737537986434230800071350748066212436230589090651529168793389850506091997114978210712369275430939738683744049631798313957414071<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:26:21 UTC 2014 年 1 月 7 日 (火) 5 時 26 分 21 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2014 05:04:39 UTC 2014 年 1 月 9 日 (木) 14 時 4 分 39 秒 (日本時間)
4511e62022 / 3670522CypFebruary 16, 2014 20:55:02 UTC 2014 年 2 月 17 日 (月) 5 時 55 分 2 秒 (日本時間)
1500Dmitry DomanovApril 25, 2014 12:56:17 UTC 2014 年 4 月 25 日 (金) 21 時 56 分 17 秒 (日本時間)
5043e6200 / 7083Dmitry DomanovDecember 5, 2014 23:05:36 UTC 2014 年 12 月 6 日 (土) 8 時 5 分 36 秒 (日本時間)

8×10226+3

c224

composite cofactor 合成数の残り
14232342999466287137520014232342999466287137520014232342999466287137520014232342999466287137520014232342999466287137520014232342999466287137520014232342999466287137520014232342999466287137520014232342999466287137520014232343<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6210Serge BatalovDecember 4, 2013 17:32:19 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 19 秒 (日本時間)
4511e6226060Serge BatalovDecember 4, 2013 17:32:19 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 19 秒 (日本時間)
500Serge BatalovJanuary 4, 2014 22:39:35 UTC 2014 年 1 月 5 日 (日) 7 時 39 分 35 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:41 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 41 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:49 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 49 秒 (日本時間)
5043e6619 / 7038500Serge BatalovJanuary 4, 2014 23:01:31 UTC 2014 年 1 月 5 日 (日) 8 時 1 分 31 秒 (日本時間)
119KTakahashiOctober 8, 2014 01:33:12 UTC 2014 年 10 月 8 日 (水) 10 時 33 分 12 秒 (日本時間)

8×10227+3

c213

name 名前Dmitry Domanov
date 日付April 28, 2014 05:24:22 UTC 2014 年 4 月 28 日 (月) 14 時 24 分 22 秒 (日本時間)
composite number 合成数
144467227944777264866196240706110494336937793108609084511234973879766162599380966698298579641684481608053707911920325296485388068955026232135522026990825990438043224577113007726888387146217264504041613014820244039<213>
prime factors 素因数
2062141448841021613602689144931232949920224413<46>
composite cofactor 合成数の残り
70056895479197943741774908391844290905627953860234497252628442840815645914473697647322582402056871488091048160530540375991648048237095632170287348624793686230993271603<167>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3494234900
Step 1 took 105218ms
Step 2 took 30861ms
********** Factor found in step 2: 2062141448841021613602689144931232949920224413
Found probable prime factor of 46 digits: 2062141448841021613602689144931232949920224413

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:26:22 UTC 2014 年 1 月 7 日 (火) 5 時 26 分 22 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:04:40 UTC 2014 年 1 月 9 日 (木) 14 時 4 分 40 秒 (日本時間)
1500Dmitry DomanovFebruary 27, 2014 12:31:37 UTC 2014 年 2 月 27 日 (木) 21 時 31 分 37 秒 (日本時間)
4511e61500 / 3174Dmitry DomanovApril 25, 2014 12:55:55 UTC 2014 年 4 月 25 日 (金) 21 時 55 分 55 秒 (日本時間)
5043e6247 / 714347CypJanuary 12, 2014 01:58:27 UTC 2014 年 1 月 12 日 (日) 10 時 58 分 27 秒 (日本時間)
200Dmitry DomanovDecember 5, 2014 23:05:00 UTC 2014 年 12 月 6 日 (土) 8 時 5 分 0 秒 (日本時間)

8×10228+3

c224

composite cofactor 合成数の残り
46760928905852714764178790411671527854900837605139026086753213352583249066242700911253602052804778966934178147448899072380072830146770865603245208466066178404634008054570004033130118129796648410420673006669277485197243443241<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6210Serge BatalovDecember 4, 2013 17:32:20 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 20 秒 (日本時間)
4511e6226060Serge BatalovDecember 4, 2013 17:32:20 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 20 秒 (日本時間)
500Serge BatalovJanuary 4, 2014 22:39:36 UTC 2014 年 1 月 5 日 (日) 7 時 39 分 36 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:41 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 41 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)
5043e6619 / 7038500Serge BatalovJanuary 4, 2014 23:01:32 UTC 2014 年 1 月 5 日 (日) 8 時 1 分 32 秒 (日本時間)
119KTakahashiOctober 8, 2014 01:33:32 UTC 2014 年 10 月 8 日 (水) 10 時 33 分 32 秒 (日本時間)

8×10229+3

c185

composite cofactor 合成数の残り
15573793846133348043464016879947202399926197463032929846009005231341244092630510031316781727781809819487055101284173627529007665857635270628409946029749741237397786833461098985122327783<185>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 2, 2014 02:13:06 UTC 2014 年 1 月 2 日 (木) 11 時 13 分 6 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:04:41 UTC 2014 年 1 月 9 日 (木) 14 時 4 分 41 秒 (日本時間)
1500Dmitry DomanovFebruary 27, 2014 12:31:16 UTC 2014 年 2 月 27 日 (木) 21 時 31 分 16 秒 (日本時間)
4511e61500 / 3175Dmitry DomanovApril 30, 2014 12:26:14 UTC 2014 年 4 月 30 日 (水) 21 時 26 分 14 秒 (日本時間)
5043e6239 / 713739CypFebruary 2, 2014 22:09:13 UTC 2014 年 2 月 3 日 (月) 7 時 9 分 13 秒 (日本時間)
200Dmitry DomanovNovember 27, 2014 01:15:04 UTC 2014 年 11 月 27 日 (木) 10 時 15 分 4 秒 (日本時間)

8×10230+3

c219

composite cofactor 合成数の残り
140122413666446879193546185167032794341379918396887228718894608031874930922532095867154609916518595791029633743938909328060968202522567118202157774799786311444951324513669609414343275286982254911317648458638557993176561<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 1, 2014 10:58:31 UTC 2014 年 1 月 1 日 (水) 19 時 58 分 31 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:04:42 UTC 2014 年 1 月 9 日 (木) 14 時 4 分 42 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:42:41 UTC 2014 年 2 月 26 日 (水) 20 時 42 分 41 秒 (日本時間)
4511e61500 / 2754Dmitry DomanovApril 25, 2014 12:55:20 UTC 2014 年 4 月 25 日 (金) 21 時 55 分 20 秒 (日本時間)
5043e6359 / 713739CypJanuary 28, 2014 02:39:50 UTC 2014 年 1 月 28 日 (火) 11 時 39 分 50 秒 (日本時間)
320Dmitry DomanovNovember 27, 2014 13:57:17 UTC 2014 年 11 月 27 日 (木) 22 時 57 分 17 秒 (日本時間)

8×10231+3

c186

composite cofactor 合成数の残り
607663572744257612163127193195047930193102424317009152424099203884572089682850029079009297428636717691764297179966293483462940307190878250679529654137529832070181864681836903883544033259<186>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 2, 2014 22:13:58 UTC 2014 年 1 月 3 日 (金) 7 時 13 分 58 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:04:45 UTC 2014 年 1 月 9 日 (木) 14 時 4 分 45 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:42:52 UTC 2014 年 2 月 26 日 (水) 20 時 42 分 52 秒 (日本時間)
4511e61500 / 3238Dmitry DomanovApril 30, 2014 12:26:51 UTC 2014 年 4 月 30 日 (水) 21 時 26 分 51 秒 (日本時間)
5043e6200 / 7113Dmitry DomanovNovember 27, 2014 01:14:13 UTC 2014 年 11 月 27 日 (木) 10 時 14 分 13 秒 (日本時間)
5511e710 / 17588Dmitry DomanovDecember 5, 2014 23:03:50 UTC 2014 年 12 月 6 日 (土) 8 時 3 分 50 秒 (日本時間)

8×10232+3

c147

name 名前Cyp
date 日付December 26, 2013 16:14:55 UTC 2013 年 12 月 27 日 (金) 1 時 14 分 55 秒 (日本時間)
composite number 合成数
298408686887420653822758715557759557007320334515896622037500607251962720279743347584527362279739378439769982857224370052844768151149377827705670391<147>
prime factors 素因数
2385797862706813877432760732325986987961<40>
30412751933888075489259309952584241972118724317<47>
4112653273153585562141551353968989768290775883964495940306043<61>
factorization results 素因数分解の結果
$ yafu 'ecm(298408686887420653822758715557759557007320334515896622037500607251962720279743347584527362279739378439769982857224370052844768151149377827705670391, 70)' -B1ecm 110000000


ecm: 30/70 curves on C147, B1=110M, B2=gmp-ecm default, ETA: 5.96 hrs 


***factors found***

P40 = 2385797862706813877432760732325986987961

***co-factor***
C108 = 125077103786512832878611130555498242723231735187834351233706840418064933480142752786014088878598903726147631

12/26/13 15:40:43 v1.34.3, 
12/26/13 15:40:43 v1.34.3, ****************************
12/26/13 15:40:43 v1.34.3, Starting factorization of 125077103786512832878611130555498242723231735187834351233706840418064933480142752786014088878598903726147631
12/26/13 15:40:43 v1.34.3, using pretesting plan: normal
12/26/13 15:40:43 v1.34.3, using tune info for qs/gnfs crossover
12/26/13 15:40:43 v1.34.3, input indicated to have been pretested to t35.00
12/26/13 15:40:43 v1.34.3, ****************************
12/26/13 15:40:43 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C108
12/26/13 15:40:43 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C108
12/26/13 15:40:43 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C108
12/26/13 15:40:43 v1.34.3, final ECM pretested depth: 35.52
12/26/13 15:40:43 v1.34.3, scheduler: switching to sieve method
12/26/13 15:40:43 v1.34.3, nfs: commencing nfs on c108: 125077103786512832878611130555498242723231735187834351233706840418064933480142752786014088878598903726147631
12/26/13 15:40:44 v1.34.3, nfs: commencing poly selection with 8 threads
12/26/13 15:40:44 v1.34.3, nfs: setting deadline of 330 seconds
12/26/13 15:47:01 v1.34.3, nfs: completed 51 ranges of size 250 in 377.9819 seconds
12/26/13 15:47:02 v1.34.3, nfs: best poly = # norm 1.106720e-14 alpha -5.153460 e 4.180e-09 rroots 2
12/26/13 15:47:02 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/26/13 15:52:52 v1.34.3, nfs: commencing lattice sieving with 8 threads
[5 lines omitted]
12/26/13 16:27:54 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/26/13 16:33:39 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/26/13 16:39:29 v1.34.3, nfs: commencing msieve filtering
12/26/13 16:40:43 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/26/13 16:46:37 v1.34.3, nfs: commencing msieve filtering
12/26/13 16:47:56 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/26/13 16:53:50 v1.34.3, nfs: commencing msieve filtering
12/26/13 16:55:20 v1.34.3, nfs: commencing msieve linear algebra
12/26/13 17:02:29 v1.34.3, nfs: commencing msieve sqrt
12/26/13 17:03:34 v1.34.3, prp61 = 4112653273153585562141551353968989768290775883964495940306043
12/26/13 17:03:35 v1.34.3, prp47 = 30412751933888075489259309952584241972118724317
12/26/13 17:03:35 v1.34.3, NFS elapsed time = 4971.0759 seconds.
12/26/13 17:03:35 v1.34.3, 
12/26/13 17:03:35 v1.34.3, 
12/26/13 17:03:35 v1.34.3, Total factoring time = 4971.1152 seconds
software ソフトウェア
yafu 1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6210 / 1527Serge BatalovDecember 4, 2013 17:31:38 UTC 2013 年 12 月 5 日 (木) 2 時 31 分 38 秒 (日本時間)
4511e678 / 420960Serge BatalovDecember 4, 2013 17:31:38 UTC 2013 年 12 月 5 日 (木) 2 時 31 分 38 秒 (日本時間)
18CypDecember 26, 2013 14:38:59 UTC 2013 年 12 月 26 日 (木) 23 時 38 分 59 秒 (日本時間)
5043e60 / 7455--
5511e730 / 17763CypDecember 26, 2013 14:38:59 UTC 2013 年 12 月 26 日 (木) 23 時 38 分 59 秒 (日本時間)

8×10233+3

c220

composite cofactor 合成数の残り
1802085907618889740843058258599070717785104556798884827518285080901438671018046413895255015784862500187043074466540095071852171847485164866243095112106027715079392460088736602651820941132093332338401472679496185545234597<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 1, 2014 07:07:37 UTC 2014 年 1 月 1 日 (水) 16 時 7 分 37 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:04:46 UTC 2014 年 1 月 9 日 (木) 14 時 4 分 46 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:43:03 UTC 2014 年 2 月 26 日 (水) 20 時 43 分 3 秒 (日本時間)
4511e61500 / 3171Dmitry DomanovApril 25, 2014 12:55:05 UTC 2014 年 4 月 25 日 (金) 21 時 55 分 5 秒 (日本時間)
5043e6240 / 7137Dmitry DomanovDecember 5, 2014 00:00:46 UTC 2014 年 12 月 5 日 (金) 9 時 0 分 46 秒 (日本時間)

8×10234+3

c186

name 名前Cyp
date 日付January 5, 2014 10:41:44 UTC 2014 年 1 月 5 日 (日) 19 時 41 分 44 秒 (日本時間)
composite number 合成数
130508044161573509907261582497550271677183999018024281021314565736725319643650243698046396486273493470834291401512508960162618884797799137657670735110291192769857415331762818933900712477<186>
prime factors 素因数
2766756686174471968164941854125710651<37>
composite cofactor 合成数の残り
47170047447151505280838189430839285014538543924066219672517946684124393458684188898716036805878109106714753383047187279013592772702896487906269089927<149>
factorization results 素因数分解の結果
Run 252 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1862573454
Step 1 took 15981ms
********** Factor found in step 1: 2766756686174471968164941854125710651
Found probable prime factor of 37 digits: 2766756686174471968164941854125710651
Composite cofactor 47170047447151505280838189430839285014538543924066219672517946684124393458684188898716036805878109106714753383047187279013592772702896487906269089927 has 149 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6590290CypJanuary 5, 2014 10:41:42 UTC 2014 年 1 月 5 日 (日) 19 時 41 分 42 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:04:47 UTC 2014 年 1 月 9 日 (木) 14 時 4 分 47 秒 (日本時間)
4511e64346230Ignacio SantosFebruary 6, 2014 21:03:03 UTC 2014 年 2 月 7 日 (金) 6 時 3 分 3 秒 (日本時間)
230Ignacio SantosFebruary 6, 2014 23:46:41 UTC 2014 年 2 月 7 日 (金) 8 時 46 分 41 秒 (日本時間)
230Ignacio SantosFebruary 7, 2014 14:57:55 UTC 2014 年 2 月 7 日 (金) 23 時 57 分 55 秒 (日本時間)
1500Dmitry DomanovApril 30, 2014 12:27:16 UTC 2014 年 4 月 30 日 (水) 21 時 27 分 16 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:01:59 UTC 2014 年 5 月 25 日 (日) 4 時 1 分 59 秒 (日本時間)
1256Ignacio SantosJanuary 12, 2016 20:52:57 UTC 2016 年 1 月 13 日 (水) 5 時 52 分 57 秒 (日本時間)

8×10236+3

c182

composite cofactor 合成数の残り
40729639513541624531293463733651568888277665343578731513041017691054278272406815106541129054468277860767996487669950454335900635396904758362283165757127687232558968344359130879370507<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6590290CypJanuary 6, 2014 13:26:43 UTC 2014 年 1 月 6 日 (月) 22 時 26 分 43 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:04:48 UTC 2014 年 1 月 9 日 (木) 14 時 4 分 48 秒 (日本時間)
4511e61500 / 3120Dmitry DomanovApril 30, 2014 12:27:38 UTC 2014 年 4 月 30 日 (水) 21 時 27 分 38 秒 (日本時間)
5043e6349 / 7194189CypFebruary 7, 2014 13:25:33 UTC 2014 年 2 月 7 日 (金) 22 時 25 分 33 秒 (日本時間)
160Dmitry DomanovDecember 5, 2014 00:01:26 UTC 2014 年 12 月 5 日 (金) 9 時 1 分 26 秒 (日本時間)

8×10239+3

c231

name 名前Dmitry Domanov
date 日付February 27, 2014 05:50:15 UTC 2014 年 2 月 27 日 (木) 14 時 50 分 15 秒 (日本時間)
composite number 合成数
795171401973825543742006582967594164165117902215703265705036005067861920342772468803211845194453048502725100601830544801577445918979037610990061561166036918581641757175370040143602031169528188199505510934904397471697263011784502797<231>
prime factors 素因数
365501365159932561182544300384859962859<39>
composite cofactor 合成数の残り
2175563425394819286389105537079472476841419299767642447358439062678858267851747634540103154060046676257957798202282701742444471583545909217982250006527321693920305072390845046748293019294084583<193>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4049817206
Step 1 took 31203ms
Step 2 took 11722ms
********** Factor found in step 2: 365501365159932561182544300384859962859
Found probable prime factor of 39 digits: 365501365159932561182544300384859962859

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:26:23 UTC 2014 年 1 月 7 日 (火) 5 時 26 分 23 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:04:49 UTC 2014 年 1 月 9 日 (木) 14 時 4 分 49 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:43:27 UTC 2014 年 2 月 26 日 (水) 20 時 43 分 27 秒 (日本時間)
4511e61500 / 3198Dmitry DomanovApril 30, 2014 12:28:25 UTC 2014 年 4 月 30 日 (水) 21 時 28 分 25 秒 (日本時間)
5043e6240 / 7143Dmitry DomanovDecember 5, 2014 00:01:46 UTC 2014 年 12 月 5 日 (金) 9 時 1 分 46 秒 (日本時間)

8×10240+3

c224

composite cofactor 合成数の残り
89985736331026131893243336906657283544227952841166263002244503205524128610878056139774848625890524524011056318822743537375244950846377374549320836721957540256520944466213207374392885868003380005016263214458874819759596562053<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 3, 2014 16:50:34 UTC 2014 年 1 月 4 日 (土) 1 時 50 分 34 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:04:50 UTC 2014 年 1 月 9 日 (木) 14 時 4 分 50 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:43:39 UTC 2014 年 2 月 26 日 (水) 20 時 43 分 39 秒 (日本時間)
4511e61500 / 3034Dmitry DomanovApril 30, 2014 12:28:47 UTC 2014 年 4 月 30 日 (水) 21 時 28 分 47 秒 (日本時間)
5043e6279 / 713739CypFebruary 3, 2014 13:29:24 UTC 2014 年 2 月 3 日 (月) 22 時 29 分 24 秒 (日本時間)
240Dmitry DomanovDecember 5, 2014 00:02:10 UTC 2014 年 12 月 5 日 (金) 9 時 2 分 10 秒 (日本時間)

8×10241+3

c232

composite cofactor 合成数の残り
5400404952619116128375903734488012583652612772819469063511457517407595962821348726434114269735069931734210723660975679267047686329155622747687998090018798908872508147619135379806983893020925969678944272367827425641127723911156931759<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6290CypJanuary 3, 2014 07:14:44 UTC 2014 年 1 月 3 日 (金) 16 時 14 分 44 秒 (日本時間)
4511e62098 / 3850598CypJanuary 8, 2014 20:39:31 UTC 2014 年 1 月 9 日 (木) 5 時 39 分 31 秒 (日本時間)
1500Dmitry DomanovApril 30, 2014 12:29:03 UTC 2014 年 4 月 30 日 (水) 21 時 29 分 3 秒 (日本時間)
5043e6160 / 7071Dmitry DomanovDecember 5, 2014 00:02:33 UTC 2014 年 12 月 5 日 (金) 9 時 2 分 33 秒 (日本時間)

8×10242+3

c222

composite cofactor 合成数の残り
318277551603414986643047974935433807095614709076102247808837467540231457106907459572333464680065125216990369740489559208988025639855859946058983621700863451189474969665369745227132275084337729789198583118450768120086742493<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 4, 2014 10:06:21 UTC 2014 年 1 月 4 日 (土) 19 時 6 分 21 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:04:51 UTC 2014 年 1 月 9 日 (木) 14 時 4 分 51 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:44:00 UTC 2014 年 2 月 26 日 (水) 20 時 44 分 0 秒 (日本時間)
4511e61500 / 3171Dmitry DomanovApril 25, 2014 12:54:40 UTC 2014 年 4 月 25 日 (金) 21 時 54 分 40 秒 (日本時間)
5043e6240 / 7137Dmitry DomanovNovember 24, 2014 14:53:03 UTC 2014 年 11 月 24 日 (月) 23 時 53 分 3 秒 (日本時間)

8×10244+3

c230

composite cofactor 合成数の残り
46025608033569116857981470473559361588905009524306978953865197717559838630922737279146464841336340829532900734131697203330769274042587221588224165111639965391302809601121030773296101069212867888150131871538324871288087413052145063<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:26:24 UTC 2014 年 1 月 7 日 (火) 5 時 26 分 24 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:04:52 UTC 2014 年 1 月 9 日 (木) 14 時 4 分 52 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:44:13 UTC 2014 年 2 月 26 日 (水) 20 時 44 分 13 秒 (日本時間)
4511e61500Dmitry DomanovApril 30, 2014 12:29:26 UTC 2014 年 4 月 30 日 (水) 21 時 29 分 26 秒 (日本時間)
5043e6300 / 6651Dmitry DomanovNovember 24, 2014 14:51:52 UTC 2014 年 11 月 24 日 (月) 23 時 51 分 52 秒 (日本時間)
5511e7200 / 17549Dmitry DomanovNovember 28, 2014 01:45:15 UTC 2014 年 11 月 28 日 (金) 10 時 45 分 15 秒 (日本時間)
6026e72 / 41880Dmitry DomanovDecember 5, 2014 23:02:07 UTC 2014 年 12 月 6 日 (土) 8 時 2 分 7 秒 (日本時間)

8×10245+3

c212

name 名前Dmitry Domanov
date 日付February 27, 2014 05:51:56 UTC 2014 年 2 月 27 日 (木) 14 時 51 分 56 秒 (日本時間)
composite number 合成数
21803339683776438188409068772710421721419405696270609186374570352613915548744582350184760831593757852434972122281623813171344137277839182349044312945829339679106198171990025007662840245292817933478119631912738799<212>
prime factors 素因数
5807557940898531657837345363031988857273519<43>
composite cofactor 合成数の残り
3754304288594506373870527664857658809989741093132630317678714454841015453762329094055023463719942688915987794103441839852713021414572839447580497912405322642905852797121<169>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1930247653
Step 1 took 24542ms
Step 2 took 9059ms
********** Factor found in step 2: 5807557940898531657837345363031988857273519
Found probable prime factor of 43 digits: 5807557940898531657837345363031988857273519

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 4, 2014 02:40:42 UTC 2014 年 1 月 4 日 (土) 11 時 40 分 42 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:04:53 UTC 2014 年 1 月 9 日 (木) 14 時 4 分 53 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:44:28 UTC 2014 年 2 月 26 日 (水) 20 時 44 分 28 秒 (日本時間)
4511e61000Serge BatalovMarch 2, 2014 03:23:00 UTC 2014 年 3 月 2 日 (日) 12 時 23 分 0 秒 (日本時間)
5043e61300 / 2862Erik BrangerMarch 3, 2014 07:50:15 UTC 2014 年 3 月 3 日 (月) 16 時 50 分 15 秒 (日本時間)
5511e71820 / 17226900Serge BatalovJune 5, 2014 02:34:30 UTC 2014 年 6 月 5 日 (木) 11 時 34 分 30 秒 (日本時間)
920Serge BatalovJune 5, 2014 15:28:31 UTC 2014 年 6 月 6 日 (金) 0 時 28 分 31 秒 (日本時間)

8×10246+3

c246

name 名前Serge Batalov
date 日付December 4, 2013 16:23:58 UTC 2013 年 12 月 5 日 (木) 1 時 23 分 58 秒 (日本時間)
composite number 合成数
727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727273<246>
prime factors 素因数
167862468306041381610069444246667455181163<42>
composite cofactor 合成数の残り
4332551133150188987104115181227929673756851497433786626142509246303748704481481719342172316346693930060964312237691665819197167163549658496764304101343295907526822899577661998821630361333128906829178686971<205>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=478419060
Step 1 took 20234ms
Step 2 took 15817ms
********** Factor found in step 2: 167862468306041381610069444246667455181163
Found probable prime factor of 42 digits: 167862468306041381610069444246667455181163
Composite cofactor

c205

name 名前Dmitry Domanov
date 日付April 28, 2014 05:23:27 UTC 2014 年 4 月 28 日 (月) 14 時 23 分 27 秒 (日本時間)
composite number 合成数
4332551133150188987104115181227929673756851497433786626142509246303748704481481719342172316346693930060964312237691665819197167163549658496764304101343295907526822899577661998821630361333128906829178686971<205>
prime factors 素因数
8923187030932899710971747357802149728693053<43>
485538532155728022523628539078520280815616092056408037952930747712971743899452393746042324779562765067471059546724543733277366573714365752698603749122708549325207<162>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2749438567
Step 1 took 97944ms
Step 2 took 34101ms
********** Factor found in step 2: 8923187030932899710971747357802149728693053
Found probable prime factor of 43 digits: 8923187030932899710971747357802149728693053

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 5, 2014 22:35:24 UTC 2014 年 1 月 6 日 (月) 7 時 35 分 24 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:04:54 UTC 2014 年 1 月 9 日 (木) 14 時 4 分 54 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:44:41 UTC 2014 年 2 月 26 日 (水) 20 時 44 分 41 秒 (日本時間)
4511e61500 / 4013Dmitry DomanovApril 25, 2014 12:53:57 UTC 2014 年 4 月 25 日 (金) 21 時 53 分 57 秒 (日本時間)

8×10247+3

c246

name 名前Serge Batalov
date 日付January 28, 2014 10:25:12 UTC 2014 年 1 月 28 日 (火) 19 時 25 分 12 秒 (日本時間)
composite number 合成数
963855421686746987951807228915662650602409638554216867469879518072289156626506024096385542168674698795180722891566265060240963855421686746987951807228915662650602409638554216867469879518072289156626506024096385542168674698795180722891566265060241<246>
prime factors 素因数
1223573061663854904422097148849402675740979<43>
composite cofactor 合成数の残り
787738347537714400969095124876974852129767630886571778534792137272346159230343404198741429100795158995081986742901745140296548627899197886466405281088042617560337718468039798307815306352991131932346075179<204>
factorization results 素因数分解の結果
Using B1=43000000, B2=582162027730, polynomial Dickson(30), sigma=4277104190
Step 1 took 355130ms
Step 2 took 180558ms
********** Factor found in step 2: 1223573061663854904422097148849402675740979
Found probable prime factor of 43 digits: 1223573061663854904422097148849402675740979
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e60--
4511e61600100Serge BatalovDecember 3, 2013 20:12:37 UTC 2013 年 12 月 4 日 (水) 5 時 12 分 37 秒 (日本時間)
20Serge BatalovDecember 3, 2013 20:12:58 UTC 2013 年 12 月 4 日 (水) 5 時 12 分 58 秒 (日本時間)
560Serge BatalovDecember 4, 2013 00:46:21 UTC 2013 年 12 月 4 日 (水) 9 時 46 分 21 秒 (日本時間)
520Serge BatalovDecember 4, 2013 05:10:39 UTC 2013 年 12 月 4 日 (水) 14 時 10 分 39 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:30:12 UTC 2014 年 1 月 6 日 (月) 11 時 30 分 12 秒 (日本時間)
5043e63000 / 7194Serge BatalovJanuary 28, 2014 08:28:21 UTC 2014 年 1 月 28 日 (火) 17 時 28 分 21 秒 (日本時間)

8×10248+3

c236

composite cofactor 合成数の残り
63563211400003582162350825927426003824344400676211623892600048818543145816473663216377941696561579437138630419469830522705603724733906070238507952954323714234217319301294373484671561401565107449584051941097917381707895618783484816939523<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 2, 2014 11:54:50 UTC 2014 年 1 月 2 日 (木) 20 時 54 分 50 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:04:55 UTC 2014 年 1 月 9 日 (木) 14 時 4 分 55 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:44:59 UTC 2014 年 2 月 26 日 (水) 20 時 44 分 59 秒 (日本時間)
4511e60--
5043e6880 / 7165400Dmitry DomanovMarch 7, 2014 11:34:47 UTC 2014 年 3 月 7 日 (金) 20 時 34 分 47 秒 (日本時間)
480Dmitry DomanovNovember 28, 2014 22:46:36 UTC 2014 年 11 月 29 日 (土) 7 時 46 分 36 秒 (日本時間)
5511e7128 / 17439Dmitry DomanovFebruary 8, 2015 01:11:49 UTC 2015 年 2 月 8 日 (日) 10 時 11 分 49 秒 (日本時間)

8×10250+3

c228

composite cofactor 合成数の残り
552151704545425503037456210152370902708243497621998947813648844657241470219002626465945185746094616240680436472055833275768595339246860657517510697704999287710077069780775654190539644417803921644778002696939753816804811688508543<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:26:25 UTC 2014 年 1 月 7 日 (火) 5 時 26 分 25 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:04:56 UTC 2014 年 1 月 9 日 (木) 14 時 4 分 56 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:45:10 UTC 2014 年 2 月 26 日 (水) 20 時 45 分 10 秒 (日本時間)
4511e627055CypJanuary 10, 2014 17:52:28 UTC 2014 年 1 月 11 日 (土) 2 時 52 分 28 秒 (日本時間)
1200Dmitry DomanovFebruary 27, 2014 06:00:09 UTC 2014 年 2 月 27 日 (木) 15 時 0 分 9 秒 (日本時間)
1500Dmitry DomanovFebruary 28, 2014 19:22:44 UTC 2014 年 3 月 1 日 (土) 4 時 22 分 44 秒 (日本時間)
5043e6445 / 687345CypJanuary 25, 2014 17:41:54 UTC 2014 年 1 月 26 日 (日) 2 時 41 分 54 秒 (日本時間)
400Dmitry DomanovMarch 7, 2014 11:34:21 UTC 2014 年 3 月 7 日 (金) 20 時 34 分 21 秒 (日本時間)