Table of contents 目次

79×10109-439

c100

name 名前Dmitry Domanov
date 日付February 21, 2010 15:28:10 UTC 2010 年 2 月 22 日 (月) 0 時 28 分 10 秒 (日本時間)
composite number 合成数
2281437866817539448887050585499674487086143396515280676644242881683995610376992966984985739667616157<100>
prime factors 素因数
3273017568684404504076174908911963873207<40>
697044185966458970278125679750862284528222971001018340331851<60>
factorization results 素因数分解の結果
Number: z5
N=2281437866817539448887050585499674487086143396515280676644242881683995610376992966984985739667616157
  ( 100 digits)
SNFS difficulty: 110 digits.
Divisors found:
 r1=3273017568684404504076174908911963873207 (pp40)
 r2=697044185966458970278125679750862284528222971001018340331851 (pp60)
Version: Msieve-1.40
Total time: 1.18 hours.
Scaled time: 2.33 units (timescale=1.976).
Factorization parameters were as follows:
n: 2281437866817539448887050585499674487086143396515280676644242881683995610376992966984985739667616157
m: 1000000000000000000000
deg: 5
c5: 790000
c0: -43
skew: 0.14
type: snfs
lss: 1
rlim: 490000
alim: 490000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2Factor base limits: 490000/490000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [245000, 545001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 53826 x 54051
Total sieving time: 1.15 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,110.000,5,0,0,0,0,0,0,0,0,490000,490000,25,25,44,44,2.2,2.2,50000
total time: 1.18 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
3025e40--
351e6118 / 904Makoto KamadaFebruary 21, 2010 02:00:00 UTC 2010 年 2 月 21 日 (日) 11 時 0 分 0 秒 (日本時間)

79×10113-439

c107

name 名前Dmitry Domanov
date 日付February 21, 2010 17:34:36 UTC 2010 年 2 月 22 日 (月) 2 時 34 分 36 秒 (日本時間)
composite number 合成数
20632022414065034584375338608377348553884442701116899908154332322643681423678911952173154336906086635434329<107>
prime factors 素因数
810212958775201429363009898141276938033<39>
25464937570554849828804399724925999367570602815926374532843229510313<68>
factorization results 素因数分解の結果
Number: z7
N=20632022414065034584375338608377348553884442701116899908154332322643681423678911952173154336906086635434329
  ( 107 digits)
SNFS difficulty: 114 digits.
Divisors found:
 r1=810212958775201429363009898141276938033 (pp39)
 r2=25464937570554849828804399724925999367570602815926374532843229510313 (pp68)
Version: Msieve-1.40
Total time: 1.29 hours.
Scaled time: 2.39 units (timescale=1.850).
Factorization parameters were as follows:
n: 20632022414065034584375338608377348553884442701116899908154332322643681423678911952173154336906086635434329
m: 10000000000000000000000
deg: 5
c5: 79000
c0: -43
skew: 0.22
type: snfs
lss: 1
rlim: 580000
alim: 580000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 580000/580000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [290000, 590001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 63035 x 63262
Total sieving time: 1.25 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,114.000,5,0,0,0,0,0,0,0,0,580000,580000,25,25,45,45,2.2,2.2,50000
total time: 1.29 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
3025e40--
351e6118 / 904Makoto KamadaFebruary 21, 2010 02:00:00 UTC 2010 年 2 月 21 日 (日) 11 時 0 分 0 秒 (日本時間)

79×10116-439

c94

name 名前Sinkiti Sibata
date 日付February 21, 2010 08:46:57 UTC 2010 年 2 月 21 日 (日) 17 時 46 分 57 秒 (日本時間)
composite number 合成数
1853697907084480621922103065130011003285621979463062753152072826688254955226208555382661462263<94>
prime factors 素因数
90584477837916295193849570658064729<35>
20463747778083135567800553590870850305794660176541962980047<59>
factorization results 素因数分解の結果
Number: 87773_116
N=1853697907084480621922103065130011003285621979463062753152072826688254955226208555382661462263
  ( 94 digits)
SNFS difficulty: 117 digits.
Divisors found:
 r1=90584477837916295193849570658064729 (pp35)
 r2=20463747778083135567800553590870850305794660176541962980047 (pp59)
Version: Msieve-1.40
Total time: 1.87 hours.
Scaled time: 3.81 units (timescale=2.035).
Factorization parameters were as follows:
name: 87773_116
n: 1853697907084480621922103065130011003285621979463062753152072826688254955226208555382661462263
m: 100000000000000000000000
deg: 5
c5: 790
c0: -43
skew: 0.56
type: snfs
lss: 1
rlim: 650000
alim: 650000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 650000/650000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [325000, 625001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 84645 x 84893
Total sieving time: 1.83 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,117.000,5,0,0,0,0,0,0,0,0,650000,650000,25,25,45,45,2.2,2.2,50000
total time: 1.87 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 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
3025e40--
351e6118 / 904Makoto KamadaFebruary 21, 2010 02:00:00 UTC 2010 年 2 月 21 日 (日) 11 時 0 分 0 秒 (日本時間)

79×10127-439

c128

name 名前Sinkiti Sibata
date 日付February 21, 2010 12:44:04 UTC 2010 年 2 月 21 日 (日) 21 時 44 分 4 秒 (日本時間)
composite number 合成数
87777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777773<128>
prime factors 素因数
2201382693754468433839945425539688545521956838137381579751123607<64>
39873929247654967744063544733876775833688856548534880790128125339<65>
factorization results 素因数分解の結果
Number: 87773_127
N=87777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777773
  ( 128 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=2201382693754468433839945425539688545521956838137381579751123607 (pp64)
 r2=39873929247654967744063544733876775833688856548534880790128125339 (pp65)
Version: Msieve-1.40
Total time: 3.15 hours.
Scaled time: 8.28 units (timescale=2.627).
Factorization parameters were as follows:
name: 87773_127
n: 87777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777773
m: 10000000000000000000000000
deg: 5
c5: 7900
c0: -43
skew: 0.35
type: snfs
lss: 1
rlim: 980000
alim: 980000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 980000/980000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [490000, 940001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 153085 x 153333
Total sieving time: 2.94 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,128.000,5,0,0,0,0,0,0,0,0,980000,980000,26,26,47,47,2.3,2.3,50000
total time: 3.15 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 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
3025e40--
351e6118 / 904Makoto KamadaFebruary 21, 2010 02:00:00 UTC 2010 年 2 月 21 日 (日) 11 時 0 分 0 秒 (日本時間)

79×10129-439

c130

name 名前Sinkiti Sibata
date 日付February 21, 2010 13:16:59 UTC 2010 年 2 月 21 日 (日) 22 時 16 分 59 秒 (日本時間)
composite number 合成数
8777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777773<130>
prime factors 素因数
275091342388551522369764956031388629<36>
31908593347803891464569687458292493328497585423565510808078738515031875225645080145207725396537<95>
factorization results 素因数分解の結果
Number: 87773_129
N=8777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777773
  ( 130 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=275091342388551522369764956031388629 (pp36)
 r2=31908593347803891464569687458292493328497585423565510808078738515031875225645080145207725396537 (pp95)
Version: Msieve v. 1.42
Total time: 0.16 hours.
Scaled time: 0.13 units (timescale=0.794).
Factorization parameters were as follows:
name: 87773_129
n: 8777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777773
m: 10000000000000000000000000
deg: 5
c5: 790000
c0: -43
skew: 0.14
type: snfs
lss: 1
rlim: 1060000
alim: 1060000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1060000/1060000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [530000, 1180001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 175540 x 175765
Total sieving time: 0.00 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,130.000,5,0,0,0,0,0,0,0,0,1060000,1060000,26,26,47,47,2.3,2.3,50000
total time: 0.16 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.24 BogoMIPS (lpj=1860624)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860570)
Total of 2 processors activated (7442.38 BogoMIPS).

Total time: 3 hours 28 min.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 21, 2010 02:00:00 UTC 2010 年 2 月 21 日 (日) 11 時 0 分 0 秒 (日本時間)

79×10132-439

c119

name 名前Sinkiti Sibata
date 日付February 21, 2010 23:27:11 UTC 2010 年 2 月 22 日 (月) 8 時 27 分 11 秒 (日本時間)
composite number 合成数
37886755289969580816596279544136001548857591603656446344976976351938849995173815841221948409418768964043450522022379763<119>
prime factors 素因数
22647514963234817939755863659200478573063686830791616287<56>
1672887968126905381503173563483675060546897728491284554148319149<64>
factorization results 素因数分解の結果
Number: 87773_132
N=37886755289969580816596279544136001548857591603656446344976976351938849995173815841221948409418768964043450522022379763
  ( 119 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=22647514963234817939755863659200478573063686830791616287 (pp56)
 r2=1672887968126905381503173563483675060546897728491284554148319149 (pp64)
Version: Msieve-1.40
Total time: 4.48 hours.
Scaled time: 12.18 units (timescale=2.717).
Factorization parameters were as follows:
name: 87773_132
n: 37886755289969580816596279544136001548857591603656446344976976351938849995173815841221948409418768964043450522022379763
m: 100000000000000000000000000
deg: 5
c5: 7900
c0: -43
skew: 0.35
type: snfs
lss: 1
rlim: 1190000
alim: 1190000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1190000/1190000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [595000, 1270001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 182240 x 182488
Total sieving time: 4.37 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,133.000,5,0,0,0,0,0,0,0,0,1190000,1190000,26,26,47,47,2.3,2.3,75000
total time: 4.48 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 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
3025e40--
351e6118 / 904Makoto KamadaFebruary 21, 2010 02:00:00 UTC 2010 年 2 月 21 日 (日) 11 時 0 分 0 秒 (日本時間)

79×10133-439

c93

name 名前Sinkiti Sibata
date 日付February 22, 2010 04:24:00 UTC 2010 年 2 月 22 日 (月) 13 時 24 分 0 秒 (日本時間)
composite number 合成数
401626893160336750555599310319768129503909485899691889077051090434638546132095588585111536243<93>
prime factors 素因数
907657709919952916812253514148891204273667<42>
442487171949166341591617077558466348698333309099729<51>
factorization results 素因数分解の結果
on Feb 22 07:47:01 2010  Msieve v. 1.42
Mon Feb 22 07:47:01 2010  random seeds: 876d3adc 57fdbfbf
Mon Feb 22 07:47:01 2010  factoring 401626893160336750555599310319768129503909485899691889077051090434638546132095588585111536243 (93 digits)
Mon Feb 22 07:47:03 2010  searching for 15-digit factors
Mon Feb 22 07:47:04 2010  commencing quadratic sieve (93-digit input)
Mon Feb 22 07:47:05 2010  using multiplier of 3
Mon Feb 22 07:47:05 2010  using 32kb Intel Core sieve core
Mon Feb 22 07:47:05 2010  sieve interval: 36 blocks of size 32768
Mon Feb 22 07:47:05 2010  processing polynomials in batches of 6
Mon Feb 22 07:47:05 2010  using a sieve bound of 1916833 (71765 primes)
Mon Feb 22 07:47:05 2010  using large prime bound of 231936793 (27 bits)
Mon Feb 22 07:47:05 2010  using double large prime bound of 1141997856786578 (42-51 bits)
Mon Feb 22 07:47:05 2010  using trial factoring cutoff of 51 bits
Mon Feb 22 07:47:05 2010  polynomial 'A' values have 12 factors
Mon Feb 22 10:33:49 2010  72119 relations (17755 full + 54364 combined from 967417 partial), need 71861
Mon Feb 22 10:33:50 2010  begin with 985172 relations
Mon Feb 22 10:33:51 2010  reduce to 186120 relations in 10 passes
Mon Feb 22 10:33:51 2010  attempting to read 186120 relations
Mon Feb 22 10:33:54 2010  recovered 186120 relations
Mon Feb 22 10:33:54 2010  recovered 169648 polynomials
Mon Feb 22 10:33:54 2010  attempting to build 72119 cycles
Mon Feb 22 10:33:54 2010  found 72119 cycles in 6 passes
Mon Feb 22 10:33:54 2010  distribution of cycle lengths:
Mon Feb 22 10:33:54 2010     length 1 : 17755
Mon Feb 22 10:33:54 2010     length 2 : 12744
Mon Feb 22 10:33:54 2010     length 3 : 12276
Mon Feb 22 10:33:54 2010     length 4 : 9777
Mon Feb 22 10:33:54 2010     length 5 : 7329
Mon Feb 22 10:33:54 2010     length 6 : 4849
Mon Feb 22 10:33:54 2010     length 7 : 3157
Mon Feb 22 10:33:54 2010     length 9+: 4232
Mon Feb 22 10:33:54 2010  largest cycle: 21 relations
Mon Feb 22 10:33:55 2010  matrix is 71765 x 72119 (17.8 MB) with weight 4375156 (60.67/col)
Mon Feb 22 10:33:55 2010  sparse part has weight 4375156 (60.67/col)
Mon Feb 22 10:33:56 2010  filtering completed in 3 passes
Mon Feb 22 10:33:56 2010  matrix is 68252 x 68316 (16.9 MB) with weight 4159546 (60.89/col)
Mon Feb 22 10:33:56 2010  sparse part has weight 4159546 (60.89/col)
Mon Feb 22 10:33:56 2010  saving the first 48 matrix rows for later
Mon Feb 22 10:33:56 2010  matrix is 68204 x 68316 (9.4 MB) with weight 3137902 (45.93/col)
Mon Feb 22 10:33:56 2010  sparse part has weight 2062948 (30.20/col)
Mon Feb 22 10:33:56 2010  matrix includes 64 packed rows
Mon Feb 22 10:33:56 2010  using block size 27326 for processor cache size 1024 kB
Mon Feb 22 10:33:56 2010  commencing Lanczos iteration
Mon Feb 22 10:33:56 2010  memory use: 10.5 MB
Mon Feb 22 10:34:24 2010  lanczos halted after 1079 iterations (dim = 68200)
Mon Feb 22 10:34:25 2010  recovered 15 nontrivial dependencies
Mon Feb 22 10:34:26 2010  prp42 factor: 907657709919952916812253514148891204273667
Mon Feb 22 10:34:26 2010  prp51 factor: 442487171949166341591617077558466348698333309099729
Mon Feb 22 10:34:26 2010  elapsed time 02:47:25

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 21, 2010 02:00:00 UTC 2010 年 2 月 21 日 (日) 11 時 0 分 0 秒 (日本時間)

79×10134-439

c119

name 名前Dmitry Domanov
date 日付February 21, 2010 21:52:44 UTC 2010 年 2 月 22 日 (月) 6 時 52 分 44 秒 (日本時間)
composite number 合成数
12599975077475524196081092528275764529338111550466910223334922327230833809514616175551019576689054950313757755147353989<119>
prime factors 素因数
46483760714499625818720305687168146882182962350129<50>
271061869431429813629570217105769399626590940511285576882900395240341<69>
factorization results 素因数分解の結果
Number: z2
N=12599975077475524196081092528275764529338111550466910223334922327230833809514616175551019576689054950313757755147353989
  ( 119 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=46483760714499625818720305687168146882182962350129 (pp50)
 r2=271061869431429813629570217105769399626590940511285576882900395240341 (pp69)
Version: Msieve-1.40
Total time: 4.29 hours.
Scaled time: 8.03 units (timescale=1.872).
Factorization parameters were as follows:
n: 12599975077475524196081092528275764529338111550466910223334922327230833809514616175551019576689054950313757755147353989
m: 100000000000000000000000000
deg: 5
c5: 790000
c0: -43
skew: 0.14
type: snfs
lss: 1
rlim: 1290000
alim: 1290000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1290000/1290000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [645000, 1545001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 237423 x 237671
Total sieving time: 4.13 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,135.000,5,0,0,0,0,0,0,0,0,1290000,1290000,26,26,47,47,2.3,2.3,75000
total time: 4.29 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
3025e40--
351e6118 / 904Makoto KamadaFebruary 21, 2010 02:00:00 UTC 2010 年 2 月 21 日 (日) 11 時 0 分 0 秒 (日本時間)

79×10137-439

c91

name 名前Robert Backstrom
date 日付February 21, 2010 14:44:22 UTC 2010 年 2 月 21 日 (日) 23 時 44 分 22 秒 (日本時間)
composite number 合成数
1301964090795140924431848185187352179597104679028583724467806928798157783632540797499117753<91>
prime factors 素因数
6813199413697345931476746639787575383<37>
191094376039787585000840605371464600641357713182721391<54>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 1301964090795140924431848185187352179597104679028583724467806928798157783632540797499117753 (91 digits)
Using B1=2404000, B2=3567796060, polynomial Dickson(6), sigma=3647034153
Step 1 took 14828ms
Step 2 took 7172ms
********** Factor found in step 2: 6813199413697345931476746639787575383
Found probable prime factor of 37 digits: 6813199413697345931476746639787575383
Probable prime cofactor 191094376039787585000840605371464600641357713182721391 has 54 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6119 / 904118Makoto KamadaFebruary 21, 2010 02:00:00 UTC 2010 年 2 月 21 日 (日) 11 時 0 分 0 秒 (日本時間)
16813199413697345931476746639787575383February 21, 2010 11:18:07 UTC 2010 年 2 月 21 日 (日) 20 時 18 分 7 秒 (日本時間)

79×10141-439

c118

name 名前Dmitry Domanov
date 日付February 22, 2010 02:21:39 UTC 2010 年 2 月 22 日 (月) 11 時 21 分 39 秒 (日本時間)
composite number 合成数
4352196694282342297889283707912147931848423847380313849460456160652436908934354849413579503645615451462967425285993481<118>
prime factors 素因数
16691762220942028813885663244607436127505305457388900297<56>
260739197975270370253761057566323772937177070460607885872849473<63>
factorization results 素因数分解の結果
Number: z8
N=4352196694282342297889283707912147931848423847380313849460456160652436908934354849413579503645615451462967425285993481
  ( 118 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=16691762220942028813885663244607436127505305457388900297 (pp56)
 r2=260739197975270370253761057566323772937177070460607885872849473 (pp63)
Version: Msieve-1.40
Total time: 7.14 hours.
Scaled time: 13.16 units (timescale=1.844).
Factorization parameters were as follows:
n: 4352196694282342297889283707912147931848423847380313849460456160652436908934354849413579503645615451462967425285993481
m: 10000000000000000000000000000
deg: 5
c5: 790
c0: -43
skew: 0.56
type: snfs
lss: 1
rlim: 1690000
alim: 1690000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1690000/1690000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [845000, 2245001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 301674 x 301899
Total sieving time: 6.93 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,142.000,5,0,0,0,0,0,0,0,0,1690000,1690000,26,26,48,48,2.3,2.3,100000
total time: 7.14 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
3025e40--
351e6118 / 904Makoto KamadaFebruary 21, 2010 02:00:00 UTC 2010 年 2 月 21 日 (日) 11 時 0 分 0 秒 (日本時間)

79×10142-439

c116

name 名前Dmitry Domanov
date 日付February 22, 2010 09:33:03 UTC 2010 年 2 月 22 日 (月) 18 時 33 分 3 秒 (日本時間)
composite number 合成数
12714582116037603840705783663276161289518500981066226668065943168500184278454022053707482477345361783822782387003213<116>
prime factors 素因数
9398550796444076829288120616722470032550840200727<49>
1352823684354415674998475737761175709901263337490948317219854172219<67>
factorization results 素因数分解の結果
Number: zz2
N=12714582116037603840705783663276161289518500981066226668065943168500184278454022053707482477345361783822782387003213
  ( 116 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=9398550796444076829288120616722470032550840200727 (pp49)
 r2=1352823684354415674998475737761175709901263337490948317219854172219 (pp67)
Version: Msieve-1.40
Total time: 6.82 hours.
Scaled time: 12.87 units (timescale=1.888).
Factorization parameters were as follows:
n: 12714582116037603840705783663276161289518500981066226668065943168500184278454022053707482477345361783822782387003213
m: 10000000000000000000000000000
deg: 5
c5: 7900
c0: -43
skew: 0.35
type: snfs
lss: 1
rlim: 1750000
alim: 1750000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1750000/1750000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [875000, 2175001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 304680 x 304904
Total sieving time: 6.64 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,143.000,5,0,0,0,0,0,0,0,0,1750000,1750000,26,26,48,48,2.3,2.3,100000
total time: 6.82 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
3025e40--
351e6118 / 904Makoto KamadaFebruary 21, 2010 02:00:00 UTC 2010 年 2 月 21 日 (日) 11 時 0 分 0 秒 (日本時間)

79×10148-439

c126

name 名前Dmitry Domanov
date 日付February 22, 2010 11:56:32 UTC 2010 年 2 月 22 日 (月) 20 時 56 分 32 秒 (日本時間)
composite number 合成数
185857666215938765592304724600287514042136817914741697305525367717341029585816258334124519860821986637092668687881758717489433<126>
prime factors 素因数
166866940053462900337125177138121475898147899758828566468979<60>
1113807601172475391567006652998028671244760030967170397380655913027<67>
factorization results 素因数分解の結果
Number: zz5
N=185857666215938765592304724600287514042136817914741697305525367717341029585816258334124519860821986637092668687881758717489433
  ( 126 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=166866940053462900337125177138121475898147899758828566468979 (pp60)
 r2=1113807601172475391567006652998028671244760030967170397380655913027 (pp67)
Version: Msieve-1.40
Total time: 12.06 hours.
Scaled time: 23.38 units (timescale=1.939).
Factorization parameters were as follows:
n: 185857666215938765592304724600287514042136817914741697305525367717341029585816258334124519860821986637092668687881758717489433
m: 100000000000000000000000000000
deg: 5
c5: 79000
c0: -43
skew: 0.22
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1100000, 3300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 417572 x 417797
Total sieving time: 11.75 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.21 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,149.000,5,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000
total time: 12.06 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
3025e40--
351e6118 / 904Makoto KamadaFebruary 21, 2010 02:00:00 UTC 2010 年 2 月 21 日 (日) 11 時 0 分 0 秒 (日本時間)

79×10149-439

c121

name 名前Wataru Sakai
date 日付February 22, 2010 00:25:27 UTC 2010 年 2 月 22 日 (月) 9 時 25 分 27 秒 (日本時間)
composite number 合成数
6591688594369051032200538246681731724292370791363715661701698474954780042899228222591183857183743395716147715879764775629<121>
prime factors 素因数
5327481720569239602331901736419104603<37>
1237299148098199641907268391318332748109665575069009064139059573720438120810814045943<85>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=345123153
Step 1 took 34302ms
Step 2 took 13168ms
********** Factor found in step 2: 5327481720569239602331901736419104603
Found probable prime factor of 37 digits: 5327481720569239602331901736419104603
Probable prime cofactor 1237299148098199641907268391318332748109665575069009064139059573720438120810814045943 has 85 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 21, 2010 02:00:00 UTC 2010 年 2 月 21 日 (日) 11 時 0 分 0 秒 (日本時間)

79×10150-439

c147

name 名前Dmitry Domanov
date 日付February 22, 2010 17:17:35 UTC 2010 年 2 月 23 日 (火) 2 時 17 分 35 秒 (日本時間)
composite number 合成数
141214913009826055402721694006946343695647899383480715226721436602547946038027924802165056995411409092452867288369790018786946021940149902311455747<147>
prime factors 素因数
51264276655535717673608697246187593787743547209978431947<56>
2754645578220152555119303462270365811475805369938820767931177951643456469581402757014335401<91>
factorization results 素因数分解の結果
Number: zz7
N=141214913009826055402721694006946343695647899383480715226721436602547946038027924802165056995411409092452867288369790018786946021940149902311455747
  ( 147 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=51264276655535717673608697246187593787743547209978431947 (pp56)
 r2=2754645578220152555119303462270365811475805369938820767931177951643456469581402757014335401 (pp91)
Version: Msieve-1.40
Total time: 13.19 hours.
Scaled time: 25.05 units (timescale=1.899).
Factorization parameters were as follows:
n: 141214913009826055402721694006946343695647899383480715226721436602547946038027924802165056995411409092452867288369790018786946021940149902311455747
m: 1000000000000000000000000000000
deg: 5
c5: 79
c0: -43
skew: 0.89
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1200000, 2000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 394266 x 394492
Total sieving time: 12.87 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.20 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,151.000,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,49,49,2.4,2.4,100000
total time: 13.19 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
3025e40--
351e6118 / 904Makoto KamadaFebruary 21, 2010 02:00:00 UTC 2010 年 2 月 21 日 (日) 11 時 0 分 0 秒 (日本時間)

79×10151-439

c131

name 名前Serge Batalov
date 日付November 7, 2010 18:45:31 UTC 2010 年 11 月 8 日 (月) 3 時 45 分 31 秒 (日本時間)
composite number 合成数
45906924187958004170155005721418484522245866756166267869871009143789698466278688177785255203018683958418271582246174631324932190801<131>
prime factors 素因数
910193327947930035296014687575677<33>
50436454298623718943892885856624091467003203959072737996778280814143731964529273511417657152391013<98>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=964153072
Step 1 took 3709ms
Step 2 took 2209ms
********** Factor found in step 2: 910193327947930035296014687575677
Found probable prime factor of 33 digits: 910193327947930035296014687575677
Probable prime cofactor 50436454298623718943892885856624091467003203959072737996778280814143731964529273511417657152391013 has 98 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 7, 2010 11:00:00 UTC 2010 年 11 月 7 日 (日) 20 時 0 分 0 秒 (日本時間)

79×10152-439

c117

name 名前Sinkiti Sibata
date 日付November 9, 2010 03:32:40 UTC 2010 年 11 月 9 日 (火) 12 時 32 分 40 秒 (日本時間)
composite number 合成数
594943627693561846897585280447193558157437564761987387663453493183929273813562927632576931459578416969555475387779957<117>
prime factors 素因数
637281006085090534415910388864454844316807019<45>
933565604517835340438265353227453646316320145879918726390218960712403103<72>
factorization results 素因数分解の結果
Number: 87773_152
N=594943627693561846897585280447193558157437564761987387663453493183929273813562927632576931459578416969555475387779957
  ( 117 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=637281006085090534415910388864454844316807019 (pp45)
 r2=933565604517835340438265353227453646316320145879918726390218960712403103 (pp72)
Version: Msieve-1.40
Total time: 25.45 hours.
Scaled time: 52.19 units (timescale=2.051).
Factorization parameters were as follows:
name: 87773_152
n: 594943627693561846897585280447193558157437564761987387663453493183929273813562927632576931459578416969555475387779957
m: 1000000000000000000000000000000
deg: 5
c5: 7900
c0: -43
skew: 0.35
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 2300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 543892 x 544140
Total sieving time: 23.96 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 1.06 hours.
Time per square root: 0.28 hours.
Prototype def-par.txt line would be:
snfs,153.000,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 25.45 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
3025e40--
351e6118 / 904Makoto KamadaNovember 7, 2010 11:00:00 UTC 2010 年 11 月 7 日 (日) 20 時 0 分 0 秒 (日本時間)

79×10153-439

c135

name 名前Dmitry Domanov
date 日付November 8, 2010 17:55:24 UTC 2010 年 11 月 9 日 (火) 2 時 55 分 24 秒 (日本時間)
composite number 合成数
659153893166252609319557625679666653326049125942841076867559360700510563952647233321659199417498493104173968939330007631722542897220817<135>
prime factors 素因数
11771965850747178435003350419402667971858622556953386044496545606743<68>
55993527463759627972321087376777189489751783722668526335638142768919<68>
factorization results 素因数分解の結果
Number: fb10
N=659153893166252609319557625679666653326049125942841076867559360700510563952647233321659199417498493104173968939330007631722542897220817
  ( 135 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=11771965850747178435003350419402667971858622556953386044496545606743 (pp68)
 r2=55993527463759627972321087376777189489751783722668526335638142768919 (pp68)
Version: Msieve-1.40
Total time: 18.36 hours.
Scaled time: 36.29 units (timescale=1.976).
Factorization parameters were as follows:
n: 659153893166252609319557625679666653326049125942841076867559360700510563952647233321659199417498493104173968939330007631722542897220817
m: 1000000000000000000000000000000
deg: 5
c5: 79000
c0: -43
skew: 0.22
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2700000/2700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1350000, 1350000)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : corrupt; x linear
Total sieving time: 18.24 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,154.000,5,0,0,0,0,0,0,0,0,2700000,2700000,27,27,50,50,2.4,2.4,100000
total time: 18.36 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
3025e40--
351e6118 / 904Makoto KamadaNovember 7, 2010 11:00:00 UTC 2010 年 11 月 7 日 (日) 20 時 0 分 0 秒 (日本時間)

79×10154-439

c126

name 名前Dmitry Domanov
date 日付November 10, 2010 23:12:32 UTC 2010 年 11 月 11 日 (木) 8 時 12 分 32 秒 (日本時間)
composite number 合成数
133519379309342717853343340263027799340257195303333338276487331488796254925432602983668017857847748093143339532302228053071721<126>
prime factors 素因数
75246345166893152258464265221137695922975786329<47>
1774430093756746404679159381792476572994888695470201473531379059040912302690449<79>
factorization results 素因数分解の結果
Number: fb11
N=133519379309342717853343340263027799340257195303333338276487331488796254925432602983668017857847748093143339532302228053071721
  ( 126 digits)
SNFS difficulty: 155 digits.
Divisors found:
r2=75246345166893152258464265221137695922975786329 (pp47)
r4=1774430093756746404679159381792476572994888695470201473531379059040912302690449 (pp79)
Version: Msieve-1.40
Total time: 43.08 hours.
Scaled time: 78.32 units (timescale=1.818).
Factorization parameters were as follows:
n: 133519379309342717853343340263027799340257195303333338276487331488796254925432602983668017857847748093143339532302228053071721
m: 1000000000000000000000000000000
deg: 5
c5: 790000
c0: -43
skew: 0.14
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 2900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 615740 x 615988
Total sieving time: 42.08 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.69 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,155.000,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 43.08 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
3025e40--
351e6118 / 904Makoto KamadaNovember 7, 2010 11:00:00 UTC 2010 年 11 月 7 日 (日) 20 時 0 分 0 秒 (日本時間)

79×10156-439

c129

name 名前Sinkiti Sibata
date 日付November 11, 2010 22:32:18 UTC 2010 年 11 月 12 日 (金) 7 時 32 分 18 秒 (日本時間)
composite number 合成数
514802697404699678573754467508377723293487863310013612251164880197672200553699692947579549814652517196825170522800549524036374543<129>
prime factors 素因数
78429428728381847761799260426919596660620679778552597183<56>
6563897069651919461435187183995703992963158584689332199401320657928543921<73>
factorization results 素因数分解の結果
Number: 87773_156
N=514802697404699678573754467508377723293487863310013612251164880197672200553699692947579549814652517196825170522800549524036374543
  ( 129 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=78429428728381847761799260426919596660620679778552597183 (pp56)
 r2=6563897069651919461435187183995703992963158584689332199401320657928543921 (pp73)
Version: Msieve-1.40
Total time: 30.19 hours.
Scaled time: 97.28 units (timescale=3.222).
Factorization parameters were as follows:
name: 87773_156
n: 514802697404699678573754467508377723293487863310013612251164880197672200553699692947579549814652517196825170522800549524036374543
m: 10000000000000000000000000000000
deg: 5
c5: 790
c0: -43
skew: 0.56
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1500000, 3100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 627580 x 627827
Total sieving time: 29.23 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.78 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,157.000,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 30.19 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
3025e40--
351e6118 / 904Makoto KamadaNovember 7, 2010 11:00:00 UTC 2010 年 11 月 7 日 (日) 20 時 0 分 0 秒 (日本時間)

79×10161-439

c156

name 名前Serge Batalov
date 日付November 7, 2010 19:28:48 UTC 2010 年 11 月 8 日 (月) 4 時 28 分 48 秒 (日本時間)
composite number 合成数
649875047126223749675370961427612598461211056134972630800309603762957500722060534955750501617160584041882225695351904458825603398698423674602463618719790579<156>
prime factors 素因数
861341220775350179403699443398505417<36>
754491984652990662650536339132991466151963968440601112482683448308719882660115912467587991672440092030127969743664832987<120>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=1336943714
Step 1 took 5284ms
Step 2 took 2683ms
********** Factor found in step 2: 861341220775350179403699443398505417
Found probable prime factor of 36 digits: 861341220775350179403699443398505417
Probable prime cofactor 754491984652990662650536339132991466151963968440601112482683448308719882660115912467587991672440092030127969743664832987 has 120 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 7, 2010 11:00:00 UTC 2010 年 11 月 7 日 (日) 20 時 0 分 0 秒 (日本時間)

79×10162-439

c114

name 名前Dmitry Domanov
date 日付November 10, 2010 19:10:01 UTC 2010 年 11 月 11 日 (木) 4 時 10 分 1 秒 (日本時間)
composite number 合成数
959196107819144921270539386680452550816584112300079080644141023377400760610055195954142083355622810008958397210463<114>
prime factors 素因数
19686340310880202572160207467990070564840091<44>
48723942219418941966020575522753162024248493199149883393963656155902093<71>
factorization results 素因数分解の結果
Number: fb5
N=959196107819144921270539386680452550816584112300079080644141023377400760610055195954142083355622810008958397210463
  ( 114 digits)
Divisors found:
 r1=19686340310880202572160207467990070564840091 (pp44)
 r2=48723942219418941966020575522753162024248493199149883393963656155902093 (pp71)
Version: Msieve-1.40
Total time: 20.16 hours.
Scaled time: 38.52 units (timescale=1.911).
Factorization parameters were as follows:
name: fb5
n: 959196107819144921270539386680452550816584112300079080644141023377400760610055195954142083355622810008958397210463
skew: 96101.08
# norm 2.94e+015
c5: 4740
c4: 278347858
c3: -117215190939971
c2: -26142201344692997
c1: 570589518738082430096045
c0: -3755967957103244399921137175
# alpha -6.09
Y1: 572051158921
Y0: -11513982361687597198818
# Murphy_E 6.30e-010
# M 260633274523734149894208134002353945151773952244068240244434844450969688724199890236838916616552636977354137906248
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, 2850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 428157 x 428393
Total sieving time: 19.79 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.23 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,113,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 20.16 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
3025e40--
351e6118 / 904Makoto KamadaNovember 7, 2010 11:00:00 UTC 2010 年 11 月 7 日 (日) 20 時 0 分 0 秒 (日本時間)

79×10163-439

c131

name 名前Sinkiti Sibata
date 日付November 10, 2010 05:24:38 UTC 2010 年 11 月 10 日 (水) 14 時 24 分 38 秒 (日本時間)
composite number 合成数
11854709829366329635727447797952906437968416449022149354307738910163947315211342230202474624441209900852762077779423915012744061149<131>
prime factors 素因数
14561850800351414616894901568675679482364960171301<50>
814093619822024631525623608662107418656220719897021091205795272796632688776047449<81>
factorization results 素因数分解の結果
Number: 87773_163
N=11854709829366329635727447797952906437968416449022149354307738910163947315211342230202474624441209900852762077779423915012744061149
  ( 131 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=14561850800351414616894901568675679482364960171301 (pp50)
 r2=814093619822024631525623608662107418656220719897021091205795272796632688776047449 (pp81)
Version: Msieve-1.40
Total time: 47.74 hours.
Scaled time: 120.51 units (timescale=2.524).
Factorization parameters were as follows:
name: 87773_163
n: 11854709829366329635727447797952906437968416449022149354307738910163947315211342230202474624441209900852762077779423915012744061149
m: 100000000000000000000000000000000
deg: 5
c5: 79000
c0: -43
skew: 0.22
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1950000, 4450001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 752377 x 752625
Total sieving time: 46.25 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.20 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,164.000,5,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000
total time: 47.74 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
3025e40--
351e6118 / 904Makoto KamadaNovember 7, 2010 11:00:00 UTC 2010 年 11 月 7 日 (日) 20 時 0 分 0 秒 (日本時間)

79×10165-439

c160

name 名前Sinkiti Sibata
date 日付November 9, 2010 22:55:46 UTC 2010 年 11 月 10 日 (水) 7 時 55 分 46 秒 (日本時間)
composite number 合成数
1532456547049122041095557453085928116886163909573657591827560540423323080811069891909632317700666504148679942900281093266915502693175992333992813399536232093221<160>
prime factors 素因数
5157270406273541562762796788220783475050673<43>
57476174655468268200922290745098905794897143157261<50>
5169879374883976561045636878209766238149503350375839804007352618057<67>
factorization results 素因数分解の結果
Number: 87773_165
N=1532456547049122041095557453085928116886163909573657591827560540423323080811069891909632317700666504148679942900281093266915502693175992333992813399536232093221
  ( 160 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=5157270406273541562762796788220783475050673 (pp43)
 r2=57476174655468268200922290745098905794897143157261 (pp50)
 r3=5169879374883976561045636878209766238149503350375839804007352618057 (pp67)
Version: Msieve-1.40
Total time: 45.36 hours.
Scaled time: 143.28 units (timescale=3.159).
Factorization parameters were as follows:
name: 87773_165
n: 1532456547049122041095557453085928116886163909573657591827560540423323080811069891909632317700666504148679942900281093266915502693175992333992813399536232093221
m: 1000000000000000000000000000000000
deg: 5
c5: 79
c0: -43
skew: 0.89
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2100000, 4400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 797208 x 797456
Total sieving time: 43.86 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.27 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,166.000,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 45.36 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
3025e40--
351e6118 / 904Makoto KamadaNovember 7, 2010 11:00:00 UTC 2010 年 11 月 7 日 (日) 20 時 0 分 0 秒 (日本時間)

79×10166-439

c105

name 名前Dmitry Domanov
date 日付November 8, 2010 04:40:12 UTC 2010 年 11 月 8 日 (月) 13 時 40 分 12 秒 (日本時間)
composite number 合成数
226074195730880982634352012541064763103887991859678542395580464799855785750506867826160213777169664871013<105>
prime factors 素因数
945567472913458045626566625648222470149163<42>
239088380477288433914684358990822526921318343627688689794859951<63>
factorization results 素因数分解の結果
Number: fb1
N=226074195730880982634352012541064763103887991859678542395580464799855785750506867826160213777169664871013
  ( 105 digits)
Divisors found:
 r1=945567472913458045626566625648222470149163 (pp42)
 r2=239088380477288433914684358990822526921318343627688689794859951 (pp63)
Version: Msieve-1.40
Total time: 7.97 hours.
Scaled time: 15.19 units (timescale=1.905).
Factorization parameters were as follows:
name: fb1
n: 226074195730880982634352012541064763103887991859678542395580464799855785750506867826160213777169664871013
skew: 9936.35
# norm 6.50e+014
c5: 157320
c4: 3144864490
c3: -3098937060923
c2: -649156935988103882
c1: -112082009422286866704
c0: 6833442604604055273620640
# alpha -7.60
Y1: 108232398967
Y0: -67840750116442792361
# Murphy_E 2.26e-009
# M 70645783099996141371978209716118474350145426413295475260779706510869710770597339291565641422873069621207
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 198287 x 198513
Total sieving time: 7.80 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
gnfs,104,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 7.97 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
3025e40--
351e6118 / 904Makoto KamadaNovember 7, 2010 11:00:00 UTC 2010 年 11 月 7 日 (日) 20 時 0 分 0 秒 (日本時間)

79×10167-439

c109

name 名前Dmitry Domanov
date 日付November 8, 2010 04:41:08 UTC 2010 年 11 月 8 日 (月) 13 時 41 分 8 秒 (日本時間)
composite number 合成数
2076289781707865554255482970589847257179575132383529046398197226641093241086804665714731011752866773308532033<109>
prime factors 素因数
45291485205579358506058478004159549117270811<44>
45842828343639567377106433732927431482714535225521925137703803603<65>
factorization results 素因数分解の結果
Number: fb2
N=2076289781707865554255482970589847257179575132383529046398197226641093241086804665714731011752866773308532033
  ( 109 digits)
Divisors found:
 r1=45291485205579358506058478004159549117270811 (pp44)
 r2=45842828343639567377106433732927431482714535225521925137703803603 (pp65)
Version: Msieve-1.40
Total time: 9.34 hours.
Scaled time: 18.17 units (timescale=1.946).
Factorization parameters were as follows:
name: fb2
n: 2076289781707865554255482970589847257179575132383529046398197226641093241086804665714731011752866773308532033
skew: 9582.16
# norm 9.42e+013
c5: 48720
c4: 219540977
c3: -14096554449593
c2: -17648614561650119
c1: 531486006871986025650
c0: 274986813466813107058000
# alpha -4.58
Y1: 51053970923
Y0: -532005472658363920827
# Murphy_E 1.31e-009
# M 1184968631414477707687137830823891618056412587631194269854397717475102037976707604152499995999922948235150029
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 403868 x 404094
Total sieving time: 8.94 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.20 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 9.34 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
3025e40--
351e6118 / 904Makoto KamadaNovember 7, 2010 11:00:00 UTC 2010 年 11 月 7 日 (日) 20 時 0 分 0 秒 (日本時間)

79×10168-439

c147

name 名前Sinkiti Sibata
date 日付November 11, 2010 04:48:16 UTC 2010 年 11 月 11 日 (木) 13 時 48 分 16 秒 (日本時間)
composite number 合成数
162986753256696558529226327219083839296664374571066904361491213957547548506953641822611219968159383953375824757180800413518287945135119352032506143<147>
prime factors 素因数
1631449263091967296191232637647035865978516653932423780192435690953<67>
99903047519724642131008778991095830631528282172933395436709816390940495755832231<80>
factorization results 素因数分解の結果
Number: 87773_168
N=162986753256696558529226327219083839296664374571066904361491213957547548506953641822611219968159383953375824757180800413518287945135119352032506143
  ( 147 digits)
SNFS difficulty: 169 digits.
Divisors found:
 r1=1631449263091967296191232637647035865978516653932423780192435690953 (pp67)
 r2=99903047519724642131008778991095830631528282172933395436709816390940495755832231 (pp80)
Version: Msieve-1.40
Total time: 74.12 hours.
Scaled time: 216.00 units (timescale=2.914).
Factorization parameters were as follows:
name: 87773_168
n: 162986753256696558529226327219083839296664374571066904361491213957547548506953641822611219968159383953375824757180800413518287945135119352032506143
m: 1000000000000000000000000000000000
deg: 5
c5: 79000
c0: -43
skew: 0.22
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, 6000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1001241 x 1001489
Total sieving time: 71.84 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.05 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,169.000,5,0,0,0,0,0,0,0,0,4800000,4800000,27,27,52,52,2.4,2.4,100000
total time: 74.12 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
3025e40--
351e6118 / 904Makoto KamadaNovember 7, 2010 11:00:00 UTC 2010 年 11 月 7 日 (日) 20 時 0 分 0 秒 (日本時間)

79×10169-439

c140

name 名前Sinkiti Sibata
date 日付March 30, 2011 08:28:14 UTC 2011 年 3 月 30 日 (水) 17 時 28 分 14 秒 (日本時間)
composite number 合成数
79318500253346931184891212964165750162353949294233485339642333351351133490598987454352922810888675281192107153811267521402341271106329669707<140>
prime factors 素因数
11745094223210500929688016079359881755988948009128696776449<59>
6753330262485144891301897247114969035432048578659035237606782466985282559916237643<82>
factorization results 素因数分解の結果
Number: 87773_169
N=79318500253346931184891212964165750162353949294233485339642333351351133490598987454352922810888675281192107153811267521402341271106329669707
  ( 140 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=11745094223210500929688016079359881755988948009128696776449 (pp59)
 r2=6753330262485144891301897247114969035432048578659035237606782466985282559916237643 (pp82)
Version: Msieve-1.40
Total time: 117.70 hours.
Scaled time: 236.58 units (timescale=2.010).
Factorization parameters were as follows:
name: 87773_169
n: 79318500253346931184891212964165750162353949294233485339642333351351133490598987454352922810888675281192107153811267521402341271106329669707
m: 1000000000000000000000000000000000
deg: 5
c5: 790000
c0: -43
skew: 0.14
type: snfs
lss: 1
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2450000, 7050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1034727 x 1034975
Total sieving time: 112.17 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 5.04 hours.
Time per square root: 0.35 hours.
Prototype def-par.txt line would be:
snfs,170.000,5,0,0,0,0,0,0,0,0,4900000,4900000,27,27,52,52,2.4,2.4,100000
total time: 117.70 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
351e6418118Makoto KamadaNovember 7, 2010 11:00:00 UTC 2010 年 11 月 7 日 (日) 20 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 7, 2010 23:42:19 UTC 2010 年 11 月 8 日 (月) 8 時 42 分 19 秒 (日本時間)
403e61120110Ignacio SantosNovember 7, 2010 23:42:19 UTC 2010 年 11 月 8 日 (月) 8 時 42 分 19 秒 (日本時間)
400Dmitry DomanovNovember 8, 2010 19:22:18 UTC 2010 年 11 月 9 日 (火) 4 時 22 分 18 秒 (日本時間)
610Ignacio SantosNovember 26, 2010 19:22:39 UTC 2010 年 11 月 27 日 (土) 4 時 22 分 39 秒 (日本時間)
4511e6206 / 238232Ignacio SantosNovember 7, 2010 23:42:19 UTC 2010 年 11 月 8 日 (月) 8 時 42 分 19 秒 (日本時間)
174Ignacio SantosNovember 26, 2010 19:22:39 UTC 2010 年 11 月 27 日 (土) 4 時 22 分 39 秒 (日本時間)
5043e6522 / 746248Ignacio SantosNovember 26, 2010 19:22:39 UTC 2010 年 11 月 27 日 (土) 4 時 22 分 39 秒 (日本時間)
174Rich DickersonJanuary 14, 2011 14:11:00 UTC 2011 年 1 月 14 日 (金) 23 時 11 分 0 秒 (日本時間)
300Rich DickersonFebruary 7, 2011 16:48:52 UTC 2011 年 2 月 8 日 (火) 1 時 48 分 52 秒 (日本時間)

79×10171-439

c109

name 名前Dmitry Domanov
date 日付November 11, 2010 18:13:50 UTC 2010 年 11 月 12 日 (金) 3 時 13 分 50 秒 (日本時間)
composite number 合成数
5004111247524045575200117342606178403268407971097480778449367992836041065558128087416386630473166324214551647<109>
prime factors 素因数
3030215767442963112070478363052943372571333250617<49>
1651404266748551441325370347861939165951379673513349737461591<61>
factorization results 素因数分解の結果
Number: fb3
N=5004111247524045575200117342606178403268407971097480778449367992836041065558128087416386630473166324214551647
  ( 109 digits)
Divisors found:
 r1=3030215767442963112070478363052943372571333250617 (pp49)
 r2=1651404266748551441325370347861939165951379673513349737461591 (pp61)
Version: Msieve-1.40
Total time: 9.41 hours.
Scaled time: 17.51 units (timescale=1.861).
Factorization parameters were as follows:
name: fb3
n: 5004111247524045575200117342606178403268407971097480778449367992836041065558128087416386630473166324214551647
skew: 8065.74
# norm 4.01e+014
c5: 196140
c4: -291595602
c3: -43857797828776
c2: 29365006204883093
c1: 351857000169737846596
c0: -1045737011858924573503196
# alpha -5.31
Y1: 729349933169
Y0: -480122825480277491553
# Murphy_E 1.19e-009
# M 701829802187978840877501915119608225902690261989263095409635234907180894010517392044021690127523294162413418
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 446739 x 446987
Total sieving time: 8.74 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.25 hours.
Time per square root: 0.36 hours.
Prototype def-par.txt line would be:
gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 9.41 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
3025e40--
351e6118 / 904Makoto KamadaNovember 7, 2010 11:00:00 UTC 2010 年 11 月 7 日 (日) 20 時 0 分 0 秒 (日本時間)

79×10173-439

c111

name 名前Dmitry Domanov
date 日付November 11, 2010 18:13:15 UTC 2010 年 11 月 12 日 (金) 3 時 13 分 15 秒 (日本時間)
composite number 合成数
264039131538435764066509532830116337581859013064790266873648822597682337013741506205434747360456925097754003033<111>
prime factors 素因数
182277905981479619270726878209203419115406770219597<51>
1448552583028156519477259117588164215162459515396065289353789<61>
factorization results 素因数分解の結果
Number: fb4
N=264039131538435764066509532830116337581859013064790266873648822597682337013741506205434747360456925097754003033
  ( 111 digits)
Divisors found:
 r1=182277905981479619270726878209203419115406770219597 (pp51)
 r2=1448552583028156519477259117588164215162459515396065289353789 (pp61)
Version: Msieve-1.40
Total time: 13.44 hours.
Scaled time: 25.22 units (timescale=1.877).
Factorization parameters were as follows:
name: fb4
n: 264039131538435764066509532830116337581859013064790266873648822597682337013741506205434747360456925097754003033
skew: 12499.50
# norm 9.69e+014
c5: 15600
c4: 4266687320
c3: 41005429582854
c2: -622570865005296801
c1: -268121365503810624426
c0: 6665467494195339401604384
# alpha -5.56
Y1: 859496000347
Y0: -1760747756370653064805
# Murphy_E 9.84e-010
# M 227892660573058358678296664261378300132761064238005906407859108714651062478084937057086305076141222712110228713
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 392003 x 392235
Total sieving time: 13.11 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.19 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,110,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 13.44 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
3025e40--
351e6118 / 904Makoto KamadaNovember 7, 2010 11:00:00 UTC 2010 年 11 月 7 日 (日) 20 時 0 分 0 秒 (日本時間)

79×10174-439

c141

name 名前Serge Batalov
date 日付November 7, 2010 20:10:25 UTC 2010 年 11 月 8 日 (月) 5 時 10 分 25 秒 (日本時間)
composite number 合成数
157401087440626444988144136370752081196991532714036562054466011643345687142556444461897752999757031446444623750650711009636404830812104735929<141>
prime factors 素因数
1319997185011611746952694619196037823<37>
119243502355834054004467552443309762056070916460764471023036674564811926142261879994168220040695575142023<105>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=3861792299
Step 1 took 4401ms
Step 2 took 2363ms
********** Factor found in step 2: 1319997185011611746952694619196037823
Found probable prime factor of 37 digits: 1319997185011611746952694619196037823
Probable prime cofactor 119243502355834054004467552443309762056070916460764471023036674564811926142261879994168220040695575142023 has 105 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 7, 2010 11:00:00 UTC 2010 年 11 月 7 日 (日) 20 時 0 分 0 秒 (日本時間)

79×10175-439

c156

name 名前Dmitry Domanov
date 日付November 7, 2010 23:24:42 UTC 2010 年 11 月 8 日 (月) 8 時 24 分 42 秒 (日本時間)
composite number 合成数
132842533417380349840507839376778626488854188153790893109163333323050198891030134778864909569987230955068756890039606842174063834471937267132347075249036461<156>
prime factors 素因数
6630339164023347157403477352134921557<37>
20035556271116959191890269336505766421964344354314922468485908657976873865824816577955304681232817419257495181000020473<119>
factorization results 素因数分解の結果
********** Factor found in step 2: 6630339164023347157403477352134921557
Found probable prime factor of 37 digits: 6630339164023347157403477352134921557
Probable prime cofactor 20035556271116959191890269336505766421964344354314922468485908657976873865824816577955304681232817419257495181000020473 has 119 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 7, 2010 11:00:00 UTC 2010 年 11 月 7 日 (日) 20 時 0 分 0 秒 (日本時間)

79×10176-439

c160

name 名前Serge Batalov
date 日付November 7, 2010 20:10:51 UTC 2010 年 11 月 8 日 (月) 5 時 10 分 51 秒 (日本時間)
composite number 合成数
1910722616079742939495961868428068389842145091834497454031179181815083288267023901893126445094484408688522382255765061828959043191029755034676640413514207437841<160>
prime factors 素因数
13527955378480557271886079661462283<35>
141242527981664060717660959599355429873765033520341571791950990068027789674875227422857301960516631459393028873151302779721427<126>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=2334651921
Step 1 took 5260ms
Step 2 took 2668ms
********** Factor found in step 2: 13527955378480557271886079661462283
Found probable prime factor of 35 digits: 13527955378480557271886079661462283
Probable prime cofactor 141242527981664060717660959599355429873765033520341571791950990068027789674875227422857301960516631459393028873151302779721427 has 126 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 7, 2010 11:00:00 UTC 2010 年 11 月 7 日 (日) 20 時 0 分 0 秒 (日本時間)

79×10178-439

c166

name 名前Rich Dickerson
date 日付February 8, 2012 02:03:14 UTC 2012 年 2 月 8 日 (水) 11 時 3 分 14 秒 (日本時間)
composite number 合成数
4897640902365322393616691722140629125582744889250192491747048722654643389087481066735132318025670863030216510893601580181912692334660396577001405470068039226090269599<166>
prime factors 素因数
11418436195023557124138971462117930909497633<44>
428923962854023565227581490624636288883791602296567056939386746328363482541214562079461450727756250874265780358218667379903<123>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=256199776
Step 1 took 27225ms
Step 2 took 10094ms
********** Factor found in step 2: 11418436195023557124138971462117930909497633
Found probable prime factor of 44 digits: 11418436195023557124138971462117930909497633
Probable prime cofactor 428923962854023565227581490624636288883791602296567056939386746328363482541214562079461450727756250874265780358218667379903 has 123 digits
software ソフトウェア
GMP-ECM 6.3 [configured with GMP 5.0.2 and --enable-asm-redc] [ECM]
execution environment 実行環境
Core i5, 3.3 GHz, openSUSE

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 7, 2010 11:00:00 UTC 2010 年 11 月 7 日 (日) 20 時 0 分 0 秒 (日本時間)
403e6400 / 2318Dmitry DomanovNovember 8, 2010 19:22:34 UTC 2010 年 11 月 9 日 (火) 4 時 22 分 34 秒 (日本時間)

79×10179-439

c148

name 名前Dmitry Domanov
date 日付January 10, 2014 05:47:35 UTC 2014 年 1 月 10 日 (金) 14 時 47 分 35 秒 (日本時間)
composite number 合成数
3815195930000046681200397498430539129071436399723053637668419426616715412385360952769073537087783746241086288090654567778732002160066348024652272089<148>
prime factors 素因数
19139603874988524014375425397574894082600670986909<50>
199335156303089070519679398540051295295390906531739534079948995978973070721981772188298985270983021<99>
factorization results 素因数分解の結果
N=3815195930000046681200397498430539129071436399723053637668419426616715412385360952769073537087783746241086288090654567778732002160066348024652272089
  ( 148 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=19139603874988524014375425397574894082600670986909 (pp50)
 r2=199335156303089070519679398540051295295390906531739534079948995978973070721981772188298985270983021 (pp99)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 165.57 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 3815195930000046681200397498430539129071436399723053637668419426616715412385360952769073537087783746241086288090654567778732002160066348024652272089
m: 500000000000000000000000000000000000
deg: 5
c5: 1264
c0: -215
skew: 0.70
# Murphy_E = 6.314e-11
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3700000, 12100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1562625 x 1562855
Total sieving time: 162.45 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 2.32 hours.
Time per square root: 0.58 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,100000
total time: 165.57 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 7, 2010 11:00:00 UTC 2010 年 11 月 7 日 (日) 20 時 0 分 0 秒 (日本時間)
403e61982400Dmitry DomanovNovember 8, 2010 19:22:52 UTC 2010 年 11 月 9 日 (火) 4 時 22 分 52 秒 (日本時間)
15825April 16, 2012 11:39:50 UTC 2012 年 4 月 16 日 (月) 20 時 39 分 50 秒 (日本時間)
4511e61450 / 4037600Rich DickersonJuly 3, 2012 11:51:47 UTC 2012 年 7 月 3 日 (火) 20 時 51 分 47 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:05:37 UTC 2013 年 11 月 9 日 (土) 2 時 5 分 37 秒 (日本時間)

79×10180-439

c133

name 名前Dmitry Domanov
date 日付November 7, 2010 19:36:20 UTC 2010 年 11 月 8 日 (月) 4 時 36 分 20 秒 (日本時間)
composite number 合成数
5589414939754513962002610427517268459097324324721217378910462105846051369292293584781631643024399199274901522567855626051368718521529<133>
prime factors 素因数
41798297852112315945855733739852971<35>
133723506146842954937048873782584760784138245636707228120254242644200853734391728439495929744659499<99>
factorization results 素因数分解の結果
********** Factor found in step 2: 41798297852112315945855733739852971
Found probable prime factor of 35 digits: 41798297852112315945855733739852971
Probable prime cofactor 133723506146842954937048873782584760784138245636707228120254242644200853734391728439495929744659499 has 99 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 7, 2010 11:00:00 UTC 2010 年 11 月 7 日 (日) 20 時 0 分 0 秒 (日本時間)

79×10182-439

c167

name 名前Dmitry Domanov
date 日付January 21, 2014 06:25:04 UTC 2014 年 1 月 21 日 (火) 15 時 25 分 4 秒 (日本時間)
composite number 合成数
16496795272739253631077794157842937354697582267669333047311130717721207854200067653007859425106603943626844393731733043835927437909898116655523202550265616125819704067<167>
prime factors 素因数
2737726831698677948213854227838168823235065683751<49>
6025727286496105079832364069290255717101801376064337311859491219972227672642146025978868582800739398860380003579205317<118>
factorization results 素因数分解の結果
N=16496795272739253631077794157842937354697582267669333047311130717721207854200067653007859425106603943626844393731733043835927437909898116655523202550265616125819704067
  ( 167 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=2737726831698677948213854227838168823235065683751 (pp49)
 r2=6025727286496105079832364069290255717101801376064337311859491219972227672642146025978868582800739398860380003579205317 (pp118)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 194.45 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 16496795272739253631077794157842937354697582267669333047311130717721207854200067653007859425106603943626844393731733043835927437909898116655523202550265616125819704067
m: 1000000000000000000000000000000000000
deg: 5
c5: 7900
c0: -43
skew: 0.35
# Murphy_E = 5.393e-11
type: snfs
lss: 1
rlim: 8100000
alim: 8100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 600000
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, 13650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1766416 x 1766644
Total sieving time: 191.00 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 2.99 hours.
Time per square root: 0.23 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: 194.45 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 7, 2010 11:00:00 UTC 2010 年 11 月 7 日 (日) 20 時 0 分 0 秒 (日本時間)
403e6400Dmitry DomanovNovember 8, 2010 19:23:06 UTC 2010 年 11 月 9 日 (火) 4 時 23 分 6 秒 (日本時間)
4511e6690 / 4387230Ignacio SantosOctober 26, 2013 18:00:55 UTC 2013 年 10 月 27 日 (日) 3 時 0 分 55 秒 (日本時間)
230Ignacio SantosOctober 26, 2013 22:04:14 UTC 2013 年 10 月 27 日 (日) 7 時 4 分 14 秒 (日本時間)
230Ignacio SantosOctober 27, 2013 13:28:28 UTC 2013 年 10 月 27 日 (日) 22 時 28 分 28 秒 (日本時間)

79×10183-439

c181

name 名前Robert Backstrom
date 日付November 8, 2010 19:49:18 UTC 2010 年 11 月 9 日 (火) 4 時 49 分 18 秒 (日本時間)
composite number 合成数
9134003931090299456584576251589779165221412880101745866574170424326511735460746907156896751069487802058041392068447219331714649092380622037229737541912359810382703202682391027864493<181>
prime factors 素因数
8416378747634287680684577191410474173635477650885404517<55>
1085265314807478808097884070972893341610038301001371146187033738586354631387563199539654512142557030172018003182563604615375529<127>
factorization results 素因数分解の結果
Number: n
N=9134003931090299456584576251589779165221412880101745866574170424326511735460746907156896751069487802058041392068447219331714649092380622037229737541912359810382703202682391027864493
  ( 181 digits)
SNFS difficulty: 184 digits.
Divisors found:

Tue Nov  9 05:40:03 2010  prp55 factor: 8416378747634287680684577191410474173635477650885404517
Tue Nov  9 05:40:03 2010  prp127 factor: 1085265314807478808097884070972893341610038301001371146187033738586354631387563199539654512142557030172018003182563604615375529
Tue Nov  9 05:40:03 2010  elapsed time 03:40:34 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.059).
Factorization parameters were as follows:
name: KA_8_7_182_3
n: 9134003931090299456584576251589779165221412880101745866574170424326511735460746907156896751069487802058041392068447219331714649092380622037229737541912359810382703202682391027864493
m: 1000000000000000000000000000000000000
deg: 5
c5: 79000
c0: -43
skew: 0.22
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 8300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3520932 hash collisions in 24266579 relations
Msieve: matrix is 1653055 x 1653279 (472.9 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,56,56,2.5,2.5,100000
total time: 0.00 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: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.88 BogoMIPS (lpj=2830444)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830451)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830462)
Total of 4 processors activated (22643.63 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 7, 2010 11:00:00 UTC 2010 年 11 月 7 日 (日) 20 時 0 分 0 秒 (日本時間)

79×10184-439

c169

name 名前Dmitry Domanov
date 日付January 28, 2014 07:16:24 UTC 2014 年 1 月 28 日 (火) 16 時 16 分 24 秒 (日本時間)
composite number 合成数
3552864188289438601828816787110000286916905385140014470187208231931264079432313135988269040432400652729313982675101812091650293063351194531418895205680684247567123841099<169>
prime factors 素因数
3188049084452469737393078180104395493468389137494487<52>
1114432085006502932808516264986119364495368014455004854411908736162124991713273623555351739955468151407288708653448877<118>
factorization results 素因数分解の結果
N=3552864188289438601828816787110000286916905385140014470187208231931264079432313135988269040432400652729313982675101812091650293063351194531418895205680684247567123841099
  ( 169 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=3188049084452469737393078180104395493468389137494487 (pp52)
 r2=1114432085006502932808516264986119364495368014455004854411908736162124991713273623555351739955468151407288708653448877 (pp118)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 250.44 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 3552864188289438601828816787110000286916905385140014470187208231931264079432313135988269040432400652729313982675101812091650293063351194531418895205680684247567123841099
m: 5000000000000000000000000000000000000
deg: 5
c5: 1264
c0: -215
skew: 0.70
# Murphy_E = 3.96e-11
type: snfs
lss: 1
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4500000, 16500001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1953414 x 1953641
Total sieving time: 245.82 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 3.63 hours.
Time per square root: 0.73 hours.
Prototype def-par.txt line would be:
snfs,186.000,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,54,54,2.5,2.5,100000
total time: 250.44 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 7, 2010 11:00:00 UTC 2010 年 11 月 7 日 (日) 20 時 0 分 0 秒 (日本時間)
403e6400Dmitry DomanovNovember 8, 2010 19:23:18 UTC 2010 年 11 月 9 日 (火) 4 時 23 分 18 秒 (日本時間)
4511e6560 / 4387Rich DickersonDecember 14, 2013 05:41:14 UTC 2013 年 12 月 14 日 (土) 14 時 41 分 14 秒 (日本時間)

79×10185-439

c184

name 名前Serge Batalov
date 日付November 7, 2010 19:12:33 UTC 2010 年 11 月 8 日 (月) 4 時 12 分 33 秒 (日本時間)
composite number 合成数
1323948382771912183676889559242500418971007206301323948382771912183676889559242500418971007206301323948382771912183676889559242500418971007206301323948382771912183676889559242500418971<184>
prime factors 素因数
18876272305942270336641697963117<32>
composite cofactor 合成数の残り
70138232873189260096129753759068665058311444062823092870093644671539404610410298842566212353586453532081927253854496813227735727027155917426886962797863<152>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=1979681838
Step 1 took 6072ms
Step 2 took 3072ms
********** Factor found in step 2: 18876272305942270336641697963117
Found probable prime factor of 32 digits: 18876272305942270336641697963117
Composite cofactor 70138232873189260096129753759068665058311444062823092870093644671539404610410298842566212353586453532081927253854496813227735727027155917426886962797863 has 152 digits

c152

name 名前Jo Yeong Uk
date 日付January 9, 2015 14:43:33 UTC 2015 年 1 月 9 日 (金) 23 時 43 分 33 秒 (日本時間)
composite number 合成数
70138232873189260096129753759068665058311444062823092870093644671539404610410298842566212353586453532081927253854496813227735727027155917426886962797863<152>
prime factors 素因数
5783834136997253116757013749546133088757357478765665537802020777654747620229<76>
12126598241214843199026710497212342350890672570527418609555111476192646229947<77>
factorization results 素因数分解の結果
Number: 87773_185
N=70138232873189260096129753759068665058311444062823092870093644671539404610410298842566212353586453532081927253854496813227735727027155917426886962797863
  ( 152 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=5783834136997253116757013749546133088757357478765665537802020777654747620229
 r2=12126598241214843199026710497212342350890672570527418609555111476192646229947
Version: 
Total time: 85.25 hours.
Scaled time: 447.41 units (timescale=5.248).
Factorization parameters were as follows:
n: 70138232873189260096129753759068665058311444062823092870093644671539404610410298842566212353586453532081927253854496813227735727027155917426886962797863
m: 10000000000000000000000000000000000000
deg: 5
c5: 79
c0: -43
skew: 0.89
# Murphy_E = 5.138e-11
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 8000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20716422
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1695926 x 1696174
Total sieving time: 79.15 hours.
Total relation processing time: 2.06 hours.
Matrix solve time: 3.80 hours.
Time per square root: 0.24 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 85.25 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400120)
Total of 12 processors activated (81602.88 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 7, 2010 11:00:00 UTC 2010 年 11 月 7 日 (日) 20 時 0 分 0 秒 (日本時間)
403e62200400Dmitry DomanovNovember 8, 2010 19:23:29 UTC 2010 年 11 月 9 日 (火) 4 時 23 分 29 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:08:51 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 51 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:14:24 UTC 2014 年 2 月 26 日 (水) 20 時 14 分 24 秒 (日本時間)
4511e639891000Dmitry DomanovApril 4, 2014 13:39:38 UTC 2014 年 4 月 4 日 (金) 22 時 39 分 38 秒 (日本時間)
2989Jo Yeong UkNovember 16, 2014 08:06:00 UTC 2014 年 11 月 16 日 (日) 17 時 6 分 0 秒 (日本時間)

79×10188-439

c152

name 名前Serge Batalov
date 日付January 9, 2014 05:13:30 UTC 2014 年 1 月 9 日 (木) 14 時 13 分 30 秒 (日本時間)
composite number 合成数
31365027903683745957141189092959036955782150694915750520305152620514253075482116652886227582525882105946982261967962699173518157688386630405229905917657<152>
prime factors 素因数
407874874117106401318537754925442703<36>
composite cofactor 合成数の残り
76898651753376751479071923032599965355122474266546363719720079795651958413484355283122357807501378113901327748612119<116>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=510943384
Step 1 took 9782ms
Step 2 took 4952ms
********** Factor found in step 2: 407874874117106401318537754925442703
Found probable prime factor of 36 digits: 407874874117106401318537754925442703
Composite cofactor 

c116

name 名前Mitchell Dickerman
date 日付January 13, 2014 12:22:11 UTC 2014 年 1 月 13 日 (月) 21 時 22 分 11 秒 (日本時間)
composite number 合成数
76898651753376751479071923032599965355122474266546363719720079795651958413484355283122357807501378113901327748612119<116>
prime factors 素因数
262084231981707803879725050000181298584455093891525281<54>
293411973593069501579451315676130252152853478385162982658025399<63>
factorization results 素因数分解の結果
nfs: commencing msieve filtering
76898651753376751479071923032599965355122474266546363719720079795651958413484355283122357807501378113901327748612119

commencing relation filtering
estimated available RAM is 16048.3 MB
commencing duplicate removal, pass 1
read 10M relations
found 830379 hash collisions in 10206967 relations
added 62800 free relations
commencing duplicate removal, pass 2
found 543807 duplicates and 9725960 unique relations
memory use: 32.6 MB
reading ideals above 100000
commencing singleton removal, initial pass
memory use: 344.5 MB
reading all ideals from disk
memory use: 341.3 MB
keeping 10728440 ideals with weight <= 200, target excess is 50544
commencing in-memory singleton removal
begin with 9725960 relations and 10728440 unique ideals
reduce to 3437834 relations and 3269146 ideals in 21 passes
max relations containing the same ideal: 100
removing 524730 relations and 469702 ideals in 55028 cliques
commencing in-memory singleton removal
begin with 2913104 relations and 3269146 unique ideals
reduce to 2843637 relations and 2728414 ideals in 12 passes
max relations containing the same ideal: 88
removing 389176 relations and 334148 ideals in 55028 cliques
commencing in-memory singleton removal
begin with 2454461 relations and 2728414 unique ideals
reduce to 2407796 relations and 2346613 ideals in 9 passes
max relations containing the same ideal: 78
relations with 0 large ideals: 131
relations with 1 large ideals: 520
relations with 2 large ideals: 7532
relations with 3 large ideals: 60039
relations with 4 large ideals: 244171
relations with 5 large ideals: 555418
relations with 6 large ideals: 724385
relations with 7+ large ideals: 815600
commencing 2-way merge
reduce to 1338718 relation sets and 1277535 unique ideals
commencing full merge
memory use: 142.8 MB
found 658302 cycles, need 649735
weight of 649735 cycles is about 45542871 (70.09/cycle)
distribution of cycle lengths:
1 relations: 77322
2 relations: 73983
3 relations: 73366
4 relations: 64625
5 relations: 58880
6 relations: 49736
7 relations: 44357
8 relations: 38215
9 relations: 32068
10+ relations: 137183
heaviest cycle: 23 relations
commencing cycle optimization
start with 3997993 relations
pruned 75707 relations
memory use: 136.4 MB
distribution of cycle lengths:
1 relations: 77322
2 relations: 75491
3 relations: 75417
4 relations: 65832
5 relations: 59885
6 relations: 50152
7 relations: 44541
8 relations: 38093
9 relations: 31891
10+ relations: 131111
heaviest cycle: 23 relations
RelProcTime: 244
nfs: commencing msieve linear algebra

commencing linear algebra
read 649735 cycles
cycles contain 2317620 unique relations
read 2317620 relations
using 20 quadratic characters above 134217258
building initial matrix
memory use: 293.5 MB
read 649735 cycles
matrix is 649558 x 649735 (195.3 MB) with weight 61987259 (95.40/col)
sparse part has weight 44057214 (67.81/col)
filtering completed in 2 passes
matrix is 647877 x 648054 (195.2 MB) with weight 61915371 (95.54/col)
sparse part has weight 44034754 (67.95/col)
matrix starts at (0, 0)
matrix is 647877 x 648054 (195.2 MB) with weight 61915371 (95.54/col)
sparse part has weight 44034754 (67.95/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 647829 x 648054 (188.7 MB) with weight 49419246 (76.26/col)
sparse part has weight 42990588 (66.34/col)
using block size 65536 for processor cache size 6144 kB
commencing Lanczos iteration (6 threads)
memory use: 171.2 MB
linear algebra at 0.5%, ETA 0h17m648054 dimensions (0.5%, ETA 0h17m)    
linear algebra completed 647778 of 648054 dimensions (100.0%, ETA 0h 0m)    
lanczos halted after 10244 iterations (dim = 647826)
recovered 30 nontrivial dependencies
BLanczosTime: 1187
nfs: commencing msieve sqrt

commencing square root phase
reading relations for dependency 1
read 324229 cycles
cycles contain 1159250 unique relations
read 1159250 relations
multiplying 1159250 relations
multiply complete, coefficients have about 50.52 million bits
initial square root is modulo 17888137
GCD is 1, no factor found
reading relations for dependency 2
read 323878 cycles
cycles contain 1159276 unique relations
read 1159276 relations
multiplying 1159276 relations
multiply complete, coefficients have about 50.52 million bits
initial square root is modulo 17904749
sqrtTime: 225
NFS elapsed time = 13458.3222 seconds.
pretesting / nfs ratio was 0.07
Total factoring time = 14449.1595 seconds


***factors found***

P54 = 262084231981707803879725050000181298584455093891525281
P63 = 293411973593069501579451315676130252152853478385162982658025399
software ソフトウェア
Yafu 1.34.5
execution environment 実行環境
AMD Phenom II X6 1100T, Ubuntu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 7, 2010 11:00:00 UTC 2010 年 11 月 7 日 (日) 20 時 0 分 0 秒 (日本時間)
403e6700 / 2318400Dmitry DomanovNovember 8, 2010 19:23:41 UTC 2010 年 11 月 9 日 (火) 4 時 23 分 41 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:08:51 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 51 秒 (日本時間)

79×10192-439

c150

name 名前Serge Batalov
date 日付November 8, 2010 04:58:59 UTC 2010 年 11 月 8 日 (月) 13 時 58 分 59 秒 (日本時間)
composite number 合成数
442957480952489886756345832066285784199987396973369027430542897390841315076943885784068307424193500883503152785184436310451599688180194694313897433259<150>
prime factors 素因数
14925388621542349538839909769383<32>
29678120428512892644519541279732139174043158578703399315503727459795747322913398655543627624185348239330364100734510173<119>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3609395891
Step 1 took 6665ms
Step 2 took 3501ms
********** Factor found in step 2: 14925388621542349538839909769383
Found probable prime factor of 32 digits: 14925388621542349538839909769383
Probable prime cofactor 29678120428512892644519541279732139174043158578703399315503727459795747322913398655543627624185348239330364100734510173 has 119 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 7, 2010 11:00:00 UTC 2010 年 11 月 7 日 (日) 20 時 0 分 0 秒 (日本時間)

79×10193-439

c192

name 名前Serge Batalov
date 日付November 7, 2010 18:55:42 UTC 2010 年 11 月 8 日 (月) 3 時 55 分 42 秒 (日本時間)
composite number 合成数
280440184593539226127085552005679801206957756478523251686190983315583954561590344337948171813986510472133475328363507277245296414625488107916222932197373091941782037628682996095136670216542421<192>
prime factors 素因数
12243702683547550131706591093<29>
composite cofactor 合成数の残り
22904850913309103586698334322126681017611908943050878231830276502165324875573396546067794291321133586352953491567865082396517811782921494344453965567165086521724897<164>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=3446897892
Step 1 took 6106ms
Step 2 took 3057ms
********** Factor found in step 2: 12243702683547550131706591093
Found probable prime factor of 29 digits: 12243702683547550131706591093
Composite cofactor has 164 digits

c164

name 名前Eric Jeancolas
date 日付June 22, 2021 09:40:32 UTC 2021 年 6 月 22 日 (火) 18 時 40 分 32 秒 (日本時間)
composite number 合成数
22904850913309103586698334322126681017611908943050878231830276502165324875573396546067794291321133586352953491567865082396517811782921494344453965567165086521724897<164>
prime factors 素因数
42113491063499120328064385896195521190714019454089318041136835841<65>
543883927332762620902052838761785867200581392189498824726993970327519659303888114143572801717371617<99>
factorization results 素因数分解の結果
22904850913309103586698334322126681017611908943050878231830276502165324875573396546067794291321133586352953491567865082396517811782921494344453965567165086521724897=42113491063499120328064385896195521190714019454089318041136835841*543883927332762620902052838761785867200581392189498824726993970327519659303888114143572801717371617

cado polynomial
n: 22904850913309103586698334322126681017611908943050878231830276502165324875573396546067794291321133586352953491567865082396517811782921494344453965567165086521724897
skew: 0.62
type: snfs
c0: -43
c6: 790
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 790*x^6-43
# g(x) = -x+100000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 12400000
tasks.lim1 = 12400000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 543883927332762620902052838761785867200581392189498824726993970327519659303888114143572801717371617 42113491063499120328064385896195521190714019454089318041136835841
Info:Square Root: Total cpu/real time for sqrt: 1002.92/299.962
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 648.92/672.432
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 550.4s
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 32272930
Info:Lattice Sieving: Average J: 1894.59 for 6684494 special-q, max bucket fill -bkmult 1.0,1s:1.180880
Info:Lattice Sieving: Total time: 1.25584e+06s
Info:Quadratic Characters: Total cpu/real time for characters: 105.05/44.654
Info:Square Root: Total cpu/real time for sqrt: 1002.92/299.962
Info:Generate Free Relations: Total cpu/real time for freerel: 183.42/47.2636
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 139.4/171.585
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 170.39999999999998s
Info:Filtering - Merging: Merged matrix has 2990261 rows and total weight 510886935 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 814.11/226.13
Info:Filtering - Merging: Total cpu/real time for replay: 118.14/102.712
Info:Linear Algebra: Total cpu/real time for bwc: 161200/41302.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 103619.12, WCT time 26464.81, iteration CPU time 0.27, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (93696 iterations)
Info:Linear Algebra: Lingen CPU time 645.64, WCT time 163.83
Info:Linear Algebra: Mksol: CPU time 55801.85,  WCT time 14270.88, iteration CPU time 0.29, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (47104 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 8.15/3.38033
Info:Filtering - Singleton removal: Total cpu/real time for purge: 528.22/601.481
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.57032e+06/182360
Info:root: Cleaning up computation data in /tmp/cado.de3cdlpw
543883927332762620902052838761785867200581392189498824726993970327519659303888114143572801717371617 42113491063499120328064385896195521190714019454089318041136835841
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
3 x Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 7, 2010 11:00:00 UTC 2010 年 11 月 7 日 (日) 20 時 0 分 0 秒 (日本時間)
403e62200400Dmitry DomanovNovember 8, 2010 19:23:59 UTC 2010 年 11 月 9 日 (火) 4 時 23 分 59 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:08:52 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 52 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:14:32 UTC 2014 年 2 月 26 日 (水) 20 時 14 分 32 秒 (日本時間)
4511e61500 / 3989Dmitry DomanovApril 4, 2014 13:29:00 UTC 2014 年 4 月 4 日 (金) 22 時 29 分 0 秒 (日本時間)

79×10194-439

c152

name 名前Edwin Hall
date 日付January 4, 2021 17:44:52 UTC 2021 年 1 月 5 日 (火) 2 時 44 分 52 秒 (日本時間)
composite number 合成数
34885237457284807234037773359851116225991743768038831086006558238575789126173620007701368961326636916953051147854797207610420915876877268142764318689221<152>
prime factors 素因数
23222498206220070412553468756310704617151781953231582047<56>
1502217252747635486822638653524265895484534992403278401316380228553923737560463985987457342839643<97>
factorization results 素因数分解の結果
p56 factor: 23222498206220070412553468756310704617151781953231582047
p97 factor: 1502217252747635486822638653524265895484534992403278401316380228553923737560463985987457342839643


Msieve v. 1.54 (SVN 1032M)
random seeds: 116a3ab2 043328a3
factoring 34885237457284807234037773359851116225991743768038831086006558238575789126173620007701368961326636916953051147854797207610420915876877268142764318689221 (152 digits)
searching for 15-digit factors
commencing number field sieve (152-digit input)
R0: -500000000000000000000000000000000000000
R1: 1
A0: -215
A1: 0
A2: 0
A3: 0
A4: 0
A5: 1264
skew 1.00, size 4.968e-14, alpha 0.725, combined = 1.378e-11 rroots = 1

commencing relation filtering
estimated available RAM is 48213.5 MB
commencing duplicate removal, pass 1
found 2195769 hash collisions in 35862198 relations
added 726730 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 36588928 unique relations
memory use: 98.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1222.5 MB
keeping 39914764 ideals with weight <= 200, target excess is 192446
commencing in-memory singleton removal
begin with 36588928 relations and 39914764 unique ideals
reduce to 13396809 relations and 12659166 ideals in 15 passes
max relations containing the same ideal: 104
removing 1651547 relations and 1394344 ideals in 257203 cliques
commencing in-memory singleton removal
begin with 11745262 relations and 12659166 unique ideals
reduce to 11567350 relations and 11082365 ideals in 10 passes
max relations containing the same ideal: 95
removing 1300745 relations and 1043542 ideals in 257203 cliques
commencing in-memory singleton removal
begin with 10266605 relations and 11082365 unique ideals
reduce to 10136724 relations and 9905966 ideals in 9 passes
max relations containing the same ideal: 87
relations with 0 large ideals: 4017
relations with 1 large ideals: 5823
relations with 2 large ideals: 58585
relations with 3 large ideals: 320111
relations with 4 large ideals: 1049055
relations with 5 large ideals: 2139058
relations with 6 large ideals: 2871877
relations with 7+ large ideals: 3688198
commencing 2-way merge
reduce to 6277453 relation sets and 6046695 unique ideals
commencing full merge
memory use: 730.1 MB
found 2954242 cycles, need 2932895
weight of 2932895 cycles is about 264312238 (90.12/cycle)
distribution of cycle lengths:
1 relations: 261677
2 relations: 272321
3 relations: 279516
4 relations: 264333
5 relations: 247794
6 relations: 224054
7 relations: 202806
8 relations: 178411
9 relations: 159010
10+ relations: 842973
heaviest cycle: 28 relations
commencing cycle optimization
start with 21374256 relations
pruned 711509 relations
memory use: 631.3 MB
distribution of cycle lengths:
1 relations: 261677
2 relations: 278988
3 relations: 290485
4 relations: 272690
5 relations: 256562
6 relations: 229748
7 relations: 207892
8 relations: 181773
9 relations: 160850
10+ relations: 792230
heaviest cycle: 27 relations
RelProcTime: 730
elapsed time 00:12:11


Msieve v. 1.54 (SVN 1032M)
random seeds: 7e5d8f70 62b39c3c
factoring 34885237457284807234037773359851116225991743768038831086006558238575789126173620007701368961326636916953051147854797207610420915876877268142764318689221 (152 digits)
searching for 15-digit factors
commencing number field sieve (152-digit input)
R0: -500000000000000000000000000000000000000
R1: 1
A0: -215
A1: 0
A2: 0
A3: 0
A4: 0
A5: 1264
skew 1.00, size 4.968e-14, alpha 0.725, combined = 1.378e-11 rroots = 1

commencing linear algebra
read 2932895 cycles
cycles contain 9905416 unique relations
read 9905416 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 1240.3 MB
read 2932895 cycles
matrix is 2932714 x 2932895 (1081.3 MB) with weight 313662679 (106.95/col)
sparse part has weight 251198554 (85.65/col)
filtering completed in 2 passes
matrix is 2931639 x 2931820 (1081.2 MB) with weight 313622116 (106.97/col)
sparse part has weight 251181831 (85.67/col)
matrix starts at (0, 0)
matrix is 2931639 x 2931820 (1081.2 MB) with weight 313622116 (106.97/col)
sparse part has weight 251181831 (85.67/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2931591 x 2931820 (1026.0 MB) with weight 259020932 (88.35/col)
sparse part has weight 239632286 (81.73/col)
using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
commencing Lanczos iteration (12 threads)
memory use: 978.5 MB
linear algebra at 0.1%, ETA 2h41m
checkpointing every 1040000 dimensions
lanczos halted after 46366 iterations (dim = 2931590)
recovered 40 nontrivial dependencies
BLanczosTime: 9208
elapsed time 02:33:30


Msieve v. 1.54 (SVN 1032M)
random seeds: c8b09e3c ba366eb9
factoring 34885237457284807234037773359851116225991743768038831086006558238575789126173620007701368961326636916953051147854797207610420915876877268142764318689221 (152 digits)
searching for 15-digit factors
commencing number field sieve (152-digit input)
R0: -500000000000000000000000000000000000000
R1: 1
A0: -215
A1: 0
A2: 0
A3: 0
A4: 0
A5: 1264
skew 1.00, size 4.968e-14, alpha 0.725, combined = 1.378e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1463070 cycles
cycles contain 4946766 unique relations
read 4946766 relations
multiplying 4946766 relations
multiply complete, coefficients have about 161.69 million bits
initial square root is modulo 634861
GCD is N, no factor found
reading relations for dependency 2
read 1466848 cycles
cycles contain 4954068 unique relations
read 4954068 relations
multiplying 4954068 relations
multiply complete, coefficients have about 161.92 million bits
initial square root is modulo 647341
GCD is 1, no factor found
reading relations for dependency 3
read 1465306 cycles
cycles contain 4953790 unique relations
read 4953790 relations
multiplying 4953790 relations
multiply complete, coefficients have about 161.91 million bits
initial square root is modulo 646781
sqrtTime: 1320
p56 factor: 23222498206220070412553468756310704617151781953231582047
p97 factor: 1502217252747635486822638653524265895484534992403278401316380228553923737560463985987457342839643
elapsed time 00:22:02
software ソフトウェア
CADO-NFS/Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 7, 2010 11:00:00 UTC 2010 年 11 月 7 日 (日) 20 時 0 分 0 秒 (日本時間)
403e62200400Dmitry DomanovNovember 8, 2010 19:24:11 UTC 2010 年 11 月 9 日 (火) 4 時 24 分 11 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:08:53 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 53 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:14:40 UTC 2014 年 2 月 26 日 (水) 20 時 14 分 40 秒 (日本時間)
4511e61500 / 3989Dmitry DomanovApril 4, 2014 13:29:12 UTC 2014 年 4 月 4 日 (金) 22 時 29 分 12 秒 (日本時間)

79×10196-439

c178

name 名前matsui
date 日付May 10, 2011 03:40:57 UTC 2011 年 5 月 10 日 (火) 12 時 40 分 57 秒 (日本時間)
composite number 合成数
1157485660018994169971799726594858267649767093794396881964633230940070550562007360888348936086382317879205506671513447382419946391886761900009505216499301515737133680505788789697<178>
prime factors 素因数
7465273761191315760086532785543416908667483<43>
2289772126984692673269157982017399998446663331850704714021949319<64>
67713867024174012869781569923924140196117261031463585223991588115063061<71>
factorization results 素因数分解の結果
N=1157485660018994169971799726594858267649767093794396881964633230940070550562007360888348936086382317879205506671513447382419946391886761900009505216499301515737133680505788789697
  ( 178 digits)
SNFS difficulty: 197 digits.
Divisors found:
 r1=7465273761191315760086532785543416908667483 (pp43)
 r2=2289772126984692673269157982017399998446663331850704714021949319 (pp64)
 r3=67713867024174012869781569923924140196117261031463585223991588115063061 (pp71)
Version: Msieve v. 1.49
Total time:
Scaled time: 74.96 units (timescale=0.672).
Factorization parameters were as follows:
n: 1157485660018994169971799726594858267649767093794396881964633230940070550562007360888348936086382317879205506671513447382419946391886761900009505216499301515737133680505788789697
m: 1000000000000000000000000000000000000000
deg: 5
c5: 790
c0: -43
skew: 0.56
type: snfs
lss: 1
rlim: 13900000
alim: 13900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 13900000/13900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6950000, 18470001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2808867 x 2809084
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,197.000,5,0,0,0,0,0,0,0,0,13900000,13900000,28,28,55,55,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 7, 2010 11:00:00 UTC 2010 年 11 月 7 日 (日) 20 時 0 分 0 秒 (日本時間)
403e6400 / 2318Dmitry DomanovNovember 8, 2010 19:24:21 UTC 2010 年 11 月 9 日 (火) 4 時 24 分 21 秒 (日本時間)

79×10199-439

c168

name 名前Eric Jeancolas
date 日付September 10, 2021 06:47:21 UTC 2021 年 9 月 10 日 (金) 15 時 47 分 21 秒 (日本時間)
composite number 合成数
673299763156875736999916983370253874367262655469686160961526476266391946069813805955660720889718834067361053511628932962060696954805486841686127942085278668222840259141<168>
prime factors 素因数
562290749577774182596044619661890366338894566244659<51>
1197422798903340588556742307355061346008706419999749417388504867070782767329163346995718631619880825452651308921708199<118>
factorization results 素因数分解の結果
673299763156875736999916983370253874367262655469686160961526476266391946069813805955660720889718834067361053511628932962060696954805486841686127942085278668222840259141=562290749577774182596044619661890366338894566244659*1197422798903340588556742307355061346008706419999749417388504867070782767329163346995718631619880825452651308921708199

cado polynomial
n: 673299763156875736999916983370253874367262655469686160961526476266391946069813805955660720889718834067361053511628932962060696954805486841686127942085278668222840259141
skew: 0.70
type: snfs
c0: -215
c5: 1264
Y0: 5000000000000000000000000000000000000000
Y1: -1
# f(x) = 1264*x^5-215
# g(x) = -x+5000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 16000000
tasks.lim1 = 16000000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 562290749577774182596044619661890366338894566244659 1197422798903340588556742307355061346008706419999749417388504867070782767329163346995718631619880825452651308921708199
Info:Square Root: Total cpu/real time for sqrt: 2559.25/778.18
Info:Square Root: Total cpu/real time for sqrt: 2559.25/778.18
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 230.14/282.942
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 282.2s
Info:Generate Factor Base: Total cpu/real time for makefb: 6.78/2.96256
Info:Filtering - Singleton removal: Total cpu/real time for purge: 744.44/878.866
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 52850196
Info:Lattice Sieving: Average J: 1894.1 for 7198618 special-q, max bucket fill -bkmult 1.0,1s:1.127630
Info:Lattice Sieving: Total time: 1.87542e+06s
Info:Filtering - Merging: Merged matrix has 4154829 rows and total weight 710282957 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1211.25/333.471
Info:Filtering - Merging: Total cpu/real time for replay: 166.95/146.152
Info:Linear Algebra: Total cpu/real time for bwc: 336699/86057.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 217893.56, WCT time 55529.62, iteration CPU time 0.41, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (130048 iterations)
Info:Linear Algebra: Lingen CPU time 964.85, WCT time 244.84
Info:Linear Algebra: Mksol: CPU time 116107.49,  WCT time 29639.66, iteration CPU time 0.43, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (65024 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 149.17/62.4926
Info:Generate Free Relations: Total cpu/real time for freerel: 233.74/60.5303
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1006.38/1016.56
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 833.1000000000003s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.87001e+06/87706.9
562290749577774182596044619661890366338894566244659 1197422798903340588556742307355061346008706419999749417388504867070782767329163346995718631619880825452651308921708199
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 7, 2010 11:00:00 UTC 2010 年 11 月 7 日 (日) 20 時 0 分 0 秒 (日本時間)
403e62200400Dmitry DomanovNovember 8, 2010 19:24:35 UTC 2010 年 11 月 9 日 (火) 4 時 24 分 35 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:08:56 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 56 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:14:49 UTC 2014 年 2 月 26 日 (水) 20 時 14 分 49 秒 (日本時間)
4511e659801500Dmitry DomanovApril 4, 2014 13:29:26 UTC 2014 年 4 月 4 日 (金) 22 時 29 分 26 秒 (日本時間)
4480Ignacio SantosAugust 4, 2021 15:20:32 UTC 2021 年 8 月 5 日 (木) 0 時 20 分 32 秒 (日本時間)

79×10200-439

c168

name 名前Robert Backstrom
date 日付October 24, 2012 07:10:27 UTC 2012 年 10 月 24 日 (水) 16 時 10 分 27 秒 (日本時間)
composite number 合成数
754126287990486681874710210668337372723420658035862630019449212911352603911113246288494105161175073363030683591119882152234628248521759296150884631990759314353524472797<168>
prime factors 素因数
57796398209950079191243056654978472037860145430169<50>
253877835865240447617833486977627829893109518458176941<54>
51394721594793422095001226993346414141564504887587927216405075993<65>
factorization results 素因数分解の結果
Number: n
N=754126287990486681874710210668337372723420658035862630019449212911352603911113246288494105161175073363030683591119882152234628248521759296150884631990759314353524472797
  ( 168 digits)
SNFS difficulty: 201 digits.
Divisors found:

Wed Oct 24 18:03:43 2012  prp50 factor: 57796398209950079191243056654978472037860145430169
Wed Oct 24 18:03:43 2012  prp54 factor: 253877835865240447617833486977627829893109518458176941
Wed Oct 24 18:03:43 2012  prp65 factor: 51394721594793422095001226993346414141564504887587927216405075993
Wed Oct 24 18:03:43 2012  elapsed time 06:39:02 (Msieve 1.44 - dependency 2)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.094).
Factorization parameters were as follows:
name: KA_87773_200
n: 754126287990486681874710210668337372723420658035862630019449212911352603911113246288494105161175073363030683591119882152234628248521759296150884631990759314353524472797
m: 10000000000000000000000000000000000000000
#  c168, diff: 201.9
skew: 0.885
deg: 5
c5: 79
c0: -43
# Murphy_E = 1.232e-11
type: snfs
lss: 1
rlim: 16200000
alim: 16200000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 16200000/16200000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 42300000)
Primes: RFBsize:1043113, AFBsize:1042935,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 11632013 hash collisions in 71977274 relations (63034586 unique)
Msieve: matrix is 2008395 x 2008622 (569.4 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16200000,16200000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
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: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.42 BogoMIPS (lpj=2830711)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Total of 4 processors activated (22644.16 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 7, 2010 11:00:00 UTC 2010 年 11 月 7 日 (日) 20 時 0 分 0 秒 (日本時間)
403e6400 / 2318Dmitry DomanovNovember 8, 2010 19:24:45 UTC 2010 年 11 月 9 日 (火) 4 時 24 分 45 秒 (日本時間)

79×10202-439

c159

name 名前Bob Backstrom
date 日付September 22, 2021 04:43:44 UTC 2021 年 9 月 22 日 (水) 13 時 43 分 44 秒 (日本時間)
composite number 合成数
564404288704293492914596051374169496067426176234921334026224532425037664070280927407797176625001872161244355379668018913385718236918161018197607538571596422261<159>
prime factors 素因数
26301867393097951470587760783533440302797147747<47>
1400599166837859825703164497535669801733341250729<49>
15321096840233216421432694218019864575250854605877088252205633647<65>
factorization results 素因数分解の結果
#
# N = 79x10^202-43 = 87(201)3
#
n: 564404288704293492914596051374169496067426176234921334026224532425037664070280927407797176625001872161244355379668018913385718236918161018197607538571596422261
m: 10000000000000000000000000000000000000000
deg: 5
c5: 7900
c0: -43
skew: 0.35
# Murphy_E = 7.165e-12
type: snfs
lss: 1
rlim: 17500000
alim: 17500000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 564404288704293492914596051374169496067426176234921334026224532425037664070280927407797176625001872161244355379668018913385718236918161018197607538571596422261 (159 digits)
Using B1=38890000, B2=192392390206, polynomial Dickson(12), sigma=1:2043645671
Step 1 took 89924ms
Step 2 took 29214ms
********** Factor found in step 2: 26301867393097951470587760783533440302797147747
Found prime factor of 47 digits: 26301867393097951470587760783533440302797147747
Composite cofactor 21458715469472809693495243078298295816731835383906375550997160119760471387368090649077494398684586218590945678663 has 113 digits



CADO


STA:Wed 22 Sep 2021 13:35:23 AEST (21,458,715,469,472,809,693,495,243,078,298,295,816,731,835,383,906,375,550,997,160,119,760,471,387,368,090,649,077,494,398,684,586,218,590,945,678,663 - C113)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 21458715469472809693495243078298295816731835383906375550997160119760471387368090649077494398684586218590945678663 2>&1 | tee -a log52

Debug:root: Looking for parameter file for c113 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c115
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c115
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.r3agqae3
Info:Database: Opened connection to database /tmp/cado.r3agqae3/c115.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 2145871546947280969349524307829829581673183538390637555099716011976047138736809064907
7494398684586218590945678663
Debug:root: Root parameter dictionary:
N = 21458715469472809693495243078298295816731835383906375550997160119760471387368090649077494398684586218590945678663
lim0 = 5484593
lim1 = 2800829
lpb0 = 26
lpb1 = 26
name = c115
...
n: 21458715469472809693495243078298295816731835383906375550997160119760471387368090649077494398684586218590945678663
skew: 223587.583
c0: 592671740792422486764162867
c1: -22183420882388694775100
c2: -44184820092546317
c3: 530590577500
c4: 339000
Y0: -749156719249061363732987632
Y1: 2302162874307024323
# MurphyE (Bf=2.80e+06,Bg=5.48e+06,area=9.40e+13) = 3.9e-09
# f(x) = 339000*x^4+530590577500*x^3-44184820092546317*x^2-22183420882388694775100*x+592671740792422486764162867
# g(x) = 2302162874307024323*x-749156719249061363732987632
...
Info:Square Root: finished
Info:Square Root: Factors: 15321096840233216421432694218019864575250854605877088252205633647 1400599166837859825703164497535669801733341250729
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 250.07/36.4534
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 55681.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 56333/37.260/42.905/48.870/0.655
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 56333/36.850/42.050/43.770/1.022
Info:Polynomial Selection (size optimized): Total time: 1114.13
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 144.23
Info:Polynomial Selection (root optimized): Rootsieve time: 143.55
Info:Generate Factor Base: Total cpu/real time for makefb: 2.93/0.328891
Info:Generate Free Relations: Total cpu/real time for freerel: 53.4/3.53013
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6780617
Info:Lattice Sieving: Average J: 3880.81 for 53639 special-q, max bucket fill: 0.665388
Info:Lattice Sieving: Total CPU time: 47912.8s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 16.45/18.3868
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 18.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 89.88/28.7004
Info:Filtering - Singleton removal: Total cpu/real time for purge: 85.48/32.99
Info:Filtering - Merging: Total cpu/real time for merge: 107.93/85.0034
Info:Filtering - Merging: Total cpu/real time for replay: 11.56/8.91957
Info:Linear Algebra: Total cpu/real time for bwc: 2982/0.000314951
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 124.69
Info:Linear Algebra: Lingen CPU time 85.61, WCT time 8.55
Info:Linear Algebra: Mksol: WCT time 75.88
Info:Quadratic Characters: Total cpu/real time for characters: 12.86/2.9728
Info:Square Root: Total cpu/real time for sqrt: 250.07/36.4534
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 52783.7/3712.08
Info:root: Cleaning up computation data in /tmp/cado.r3agqae3
15321096840233216421432694218019864575250854605877088252205633647 1400599166837859825703164497535669801733341250729

END:Wed 22 Sep 2021 14:37:15 AEST (21,458,715,469,472,809,693,495,243,078,298,295,816,731,835,383,906,375,550,997,160,119,760,471,387,368,090,649,077,494,398,684,586,218,590,945,678,663 - C113)

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 09:31:07 UTC 2014 年 1 月 4 日 (土) 18 時 31 分 7 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:08:57 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 57 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:14:56 UTC 2014 年 2 月 26 日 (水) 20 時 14 分 56 秒 (日本時間)
4511e61500 / 3311Dmitry DomanovApril 4, 2014 13:29:41 UTC 2014 年 4 月 4 日 (金) 22 時 29 分 41 秒 (日本時間)
5043e6200 / 7137Dmitry DomanovSeptember 8, 2014 10:43:10 UTC 2014 年 9 月 8 日 (月) 19 時 43 分 10 秒 (日本時間)

79×10203-439

c154

name 名前Bob Backstrom
date 日付October 16, 2021 19:44:56 UTC 2021 年 10 月 17 日 (日) 4 時 44 分 56 秒 (日本時間)
composite number 合成数
3770825870939113825252003266898716005165417741151977032666445074833015753394809338491441161838027973338556938619630070298479296875909152652656807606499139<154>
prime factors 素因数
48177619770565427327257301074672654702598092849993<50>
78269243870842610037138886160168831815870299312972856036667929896961451689867140893029290635690759150123<104>
factorization results 素因数分解の結果
#
# N = 79x10^203-43 = 87(202)3
#
n: 3770825870939113825252003266898716005165417741151977032666445074833015753394809338491441161838027973338556938619630070298479296875909152652656807606499139
m: 10000000000000000000000000000000000000000
deg: 5
c5: 79000
c0: -43
skew: 0.22
# Murphy_E = 6.102e-12
type: snfs
lss: 1
rlim: 18200000
alim: 18200000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 3770825870939113825252003266898716005165417741151977032666445074833015753394809338491441161838027973338556938619630070298479296875909152652656807606499139 (154 digits)
Using B1=52200000, B2=288593765476, polynomial Dickson(12), sigma=1:3618292558
Step 1 took 108082ms
Step 2 took 36982ms
********** Factor found in step 2: 48177619770565427327257301074672654702598092849993
Found prime factor of 50 digits: 48177619770565427327257301074672654702598092849993
Prime cofactor 78269243870842610037138886160168831815870299312972856036667929896961451689867140893029290635690759150123 has 104 digits

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 20:26:59 UTC 2014 年 1 月 7 日 (火) 5 時 26 分 59 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:08:58 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 58 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:15:03 UTC 2014 年 2 月 26 日 (水) 20 時 15 分 3 秒 (日本時間)
4511e61500 / 3339Dmitry DomanovApril 4, 2014 13:29:53 UTC 2014 年 4 月 4 日 (金) 22 時 29 分 53 秒 (日本時間)
5043e6200 / 7143Dmitry DomanovSeptember 8, 2014 10:43:23 UTC 2014 年 9 月 8 日 (月) 19 時 43 分 23 秒 (日本時間)

79×10204-439

c179

name 名前Bob Backstrom
date 日付November 4, 2021 18:01:38 UTC 2021 年 11 月 5 日 (金) 3 時 1 分 38 秒 (日本時間)
composite number 合成数
54046379644068936758524982206422584276380564804347550738594209730860290078611289373877569068351409534976127833465050324250142228928011717310063590371352676471666665189096259847859<179>
prime factors 素因数
12594067510409969982022617994730787324335295606353386437149778409<65>
4291415747882519102163682628474385443910342124995327031575098880865138957532373623758228688517138146170420979861051<115>
factorization results 素因数分解の結果
Number: n
N=54046379644068936758524982206422584276380564804347550738594209730860290078611289373877569068351409534976127833465050324250142228928011717310063590371352676471666665189096259847859  ( 179 digits)
SNFS difficulty: 205 digits.
Divisors found:

Fri Nov  5 00:03:50 2021  p65 factor: 12594067510409969982022617994730787324335295606353386437149778409
Fri Nov  5 00:03:50 2021  p115 factor: 4291415747882519102163682628474385443910342124995327031575098880865138957532373623758228688517138146170420979861051
Fri Nov  5 00:03:50 2021  elapsed time 02:13:32 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 79x10^204-43 = 87(203)3
#
n: 54046379644068936758524982206422584276380564804347550738594209730860290078611289373877569068351409534976127833465050324250142228928011717310063590371352676471666665189096259847859
m: 10000000000000000000000000000000000
deg: 6
c6: 79
c0: -43
skew: 0.90
# Murphy_E = 6.906e-12
type: snfs
lss: 1
rlim: 18900000
alim: 18900000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18900000/18900000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 51050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10761054 hash collisions in 64901486 relations (56745510 unique)
Msieve: matrix is 2408180 x 2408407 (833.0 MB)

Sieving start time : 2021/11/04 03:55:31
Sieving end time  : 2021/11/04 21:49:03

Total sieving time: 17hrs 53min 32secs.

Total relation processing time: 1hrs 53min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 41sec.

Prototype def-par.txt line would be:
snfs,205,6,0,0,0,0,0,0,0,0,18900000,18900000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118892] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2728K init, 4972K bss, 487280K reserved, 0K cma-reserved)
[    0.152618] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084)
[    0.150210] smpboot: Total of 16 processors activated (102384.67 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)
403e62090290CypJanuary 4, 2014 18:20:01 UTC 2014 年 1 月 5 日 (日) 3 時 20 分 1 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:08:59 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 59 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:15:12 UTC 2014 年 2 月 26 日 (水) 20 時 15 分 12 秒 (日本時間)
4511e61500 / 4013Dmitry DomanovApril 4, 2014 13:30:14 UTC 2014 年 4 月 4 日 (金) 22 時 30 分 14 秒 (日本時間)

79×10205-439

c166

composite cofactor 合成数の残り
1696617897877262249230386758929221656754071027920399369822149838821748631915129347141639896777371273881577750187499220292189651603330223151028889891233314448798255391<166>

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 06:17:53 UTC 2014 年 1 月 1 日 (水) 15 時 17 分 53 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:08:59 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 59 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:15:20 UTC 2014 年 2 月 26 日 (水) 20 時 15 分 20 秒 (日本時間)
4511e61500 / 3311Dmitry DomanovApril 4, 2014 13:30:27 UTC 2014 年 4 月 4 日 (金) 22 時 30 分 27 秒 (日本時間)
5043e6200 / 7137Dmitry DomanovSeptember 8, 2014 10:43:38 UTC 2014 年 9 月 8 日 (月) 19 時 43 分 38 秒 (日本時間)

79×10208-439

c185

name 名前Serge Batalov
date 日付January 6, 2014 20:41:47 UTC 2014 年 1 月 7 日 (火) 5 時 41 分 47 秒 (日本時間)
composite number 合成数
32312142519643174782312124413919461705251880878981232381365115022546687882214717232565157118206168416869362443806788487759827411994385772978569283069106242785944870164064680401059903131<185>
prime factors 素因数
6115508843903044204472847993055009<34>
5283639243177170725127128335232777533085009693169799884097191723781877972138214129018420842737254704468871407618956727132339374973066393292773546406459<151>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=2525569934
Step 1 took 4977ms
Step 2 took 3679ms
********** Factor found in step 2: 6115508843903044204472847993055009
Found probable prime factor of 34 digits: 6115508843903044204472847993055009
Probable prime cofactor

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 20:26:59 UTC 2014 年 1 月 7 日 (火) 5 時 26 分 59 秒 (日本時間)

79×10209-439

c180

composite cofactor 合成数の残り
572404520266305033069440007298574691234147552171808874878501836884709767133238529173017719536212315829475654493045071431413187668519953352644003573123063299066419118792865875892623<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 6, 2014 15:10:22 UTC 2014 年 1 月 7 日 (火) 0 時 10 分 22 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:00 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 0 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:15:28 UTC 2014 年 2 月 26 日 (水) 20 時 15 分 28 秒 (日本時間)
4511e61500 / 4013Dmitry DomanovApril 4, 2014 13:30:41 UTC 2014 年 4 月 4 日 (金) 22 時 30 分 41 秒 (日本時間)

79×10211-439

c173

composite cofactor 合成数の残り
36100944519770323758145663807975557247363638403478112838463986426654944085371409058560597890010021274799398107532573455645178633182438982901100517734833089554499607863418679<173>

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 15:14:22 UTC 2014 年 1 月 4 日 (土) 0 時 14 分 22 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:01 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 1 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:15:37 UTC 2014 年 2 月 26 日 (水) 20 時 15 分 37 秒 (日本時間)
4511e61500 / 3311Dmitry DomanovApril 4, 2014 13:30:54 UTC 2014 年 4 月 4 日 (金) 22 時 30 分 54 秒 (日本時間)
5043e6200 / 7137Dmitry DomanovSeptember 9, 2014 06:13:13 UTC 2014 年 9 月 9 日 (火) 15 時 13 分 13 秒 (日本時間)

79×10212-439

c167

name 名前Dmitry Domanov
date 日付April 7, 2014 05:13:37 UTC 2014 年 4 月 7 日 (月) 14 時 13 分 37 秒 (日本時間)
composite number 合成数
11652156390813085844213262916919570025296965128968919334440091008669416547997241886272625919091277751693907149268422234131681318802964150865200736193354025659847028211<167>
prime factors 素因数
972576228421597112826122332702487997503629<42>
composite cofactor 合成数の残り
11980712719786990261448039657424316299891344226813246336658884335064873160493521233841391728404835564196652344857137627512959<125>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3669581265
Step 1 took 71328ms
Step 2 took 26933ms
********** Factor found in step 2: 972576228421597112826122332702487997503629
Found probable prime factor of 42 digits: 972576228421597112826122332702487997503629

c125

name 名前Cyp
date 日付April 8, 2014 01:55:53 UTC 2014 年 4 月 8 日 (火) 10 時 55 分 53 秒 (日本時間)
composite number 合成数
11980712719786990261448039657424316299891344226813246336658884335064873160493521233841391728404835564196652344857137627512959<125>
prime factors 素因数
38294738923888222633636147359263705134256920222729055995373<59>
312855317896251089870347238278761661603622280895853063128972989083<66>
factorization results 素因数分解の結果
04/07/14 19:07:18 v1.34.3, 
04/07/14 19:07:18 v1.34.3, ****************************
04/07/14 19:07:18 v1.34.3, Starting factorization of 11980712719786990261448039657424316299891344226813246336658884335064873160493521233841391728404835564196652344857137627512959
04/07/14 19:07:18 v1.34.3, using pretesting plan: none
04/07/14 19:07:18 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
04/07/14 19:07:18 v1.34.3, ****************************
04/07/14 19:07:18 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C125
04/07/14 19:07:18 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C125
04/07/14 19:07:18 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C125
04/07/14 19:07:18 v1.34.3, final ECM pretested depth: 0.00
04/07/14 19:07:18 v1.34.3, scheduler: switching to sieve method
04/07/14 19:07:18 v1.34.3, nfs: commencing nfs on c125: 11980712719786990261448039657424316299891344226813246336658884335064873160493521233841391728404835564196652344857137627512959
04/07/14 19:07:18 v1.34.3, nfs: commencing poly selection with 8 threads
04/07/14 19:07:18 v1.34.3, nfs: setting deadline of 3282 seconds
04/07/14 20:03:16 v1.34.3, nfs: completed 295 ranges of size 250 in 3357.5548 seconds
04/07/14 20:03:16 v1.34.3, nfs: best poly = # norm 7.220020e-12 alpha -5.880395 e 1.676e-10 rroots 3
04/07/14 20:03:16 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/07/14 20:08:40 v1.34.3, nfs: commencing lattice sieving with 8 threads
[62 lines snipped]
04/08/14 02:19:01 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/08/14 02:24:48 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/08/14 02:30:42 v1.34.3, nfs: commencing msieve filtering
04/08/14 02:32:23 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/08/14 02:38:17 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/08/14 02:44:19 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/08/14 02:50:19 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/08/14 02:56:26 v1.34.3, nfs: commencing msieve filtering
04/08/14 02:58:15 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/08/14 03:04:12 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/08/14 03:10:00 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/08/14 03:16:01 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/08/14 03:22:07 v1.34.3, nfs: commencing msieve filtering
04/08/14 03:24:27 v1.34.3, nfs: commencing msieve linear algebra
04/08/14 03:53:04 v1.34.3, nfs: commencing msieve sqrt
04/08/14 03:55:52 v1.34.3, prp66 = 312855317896251089870347238278761661603622280895853063128972989083
04/08/14 03:55:52 v1.34.3, prp59 = 38294738923888222633636147359263705134256920222729055995373
04/08/14 03:55:52 v1.34.3, NFS elapsed time = 31713.6966 seconds.
04/08/14 03:55:52 v1.34.3, 
04/08/14 03:55:52 v1.34.3, 
04/08/14 03:55:52 v1.34.3, Total factoring time = 31713.7261 seconds
--
Tue Apr  8 02:30:42 2014  
Tue Apr  8 02:30:42 2014  commencing relation filtering
Tue Apr  8 02:30:42 2014  estimated available RAM is 15988.7 MB
Tue Apr  8 02:30:42 2014  commencing duplicate removal, pass 1
Tue Apr  8 02:31:14 2014  found 1226574 hash collisions in 10090355 relations
Tue Apr  8 02:31:25 2014  added 62983 free relations
Tue Apr  8 02:31:25 2014  commencing duplicate removal, pass 2
Tue Apr  8 02:31:33 2014  found 736293 duplicates and 9417045 unique relations
Tue Apr  8 02:31:33 2014  memory use: 41.3 MB
Tue Apr  8 02:31:33 2014  reading ideals above 100000
Tue Apr  8 02:31:33 2014  commencing singleton removal, initial pass
Tue Apr  8 02:32:17 2014  memory use: 344.5 MB
Tue Apr  8 02:32:17 2014  reading all ideals from disk
Tue Apr  8 02:32:17 2014  memory use: 343.7 MB
Tue Apr  8 02:32:17 2014  keeping 10944564 ideals with weight <= 200, target excess is 48206
Tue Apr  8 02:32:18 2014  commencing in-memory singleton removal
Tue Apr  8 02:32:18 2014  begin with 9417045 relations and 10944564 unique ideals
Tue Apr  8 02:32:23 2014  reduce to 2627562 relations and 2861989 ideals in 31 passes
Tue Apr  8 02:32:23 2014  max relations containing the same ideal: 85
Tue Apr  8 02:56:26 2014  
Tue Apr  8 02:56:26 2014  commencing relation filtering
Tue Apr  8 02:56:26 2014  estimated available RAM is 15988.7 MB
Tue Apr  8 02:56:26 2014  commencing duplicate removal, pass 1
Tue Apr  8 02:57:01 2014  found 1361781 hash collisions in 10757459 relations
Tue Apr  8 02:57:11 2014  added 79 free relations
Tue Apr  8 02:57:11 2014  commencing duplicate removal, pass 2
Tue Apr  8 02:57:20 2014  found 814848 duplicates and 9942690 unique relations
Tue Apr  8 02:57:20 2014  memory use: 41.3 MB
Tue Apr  8 02:57:20 2014  reading ideals above 100000
Tue Apr  8 02:57:20 2014  commencing singleton removal, initial pass
Tue Apr  8 02:58:06 2014  memory use: 344.5 MB
Tue Apr  8 02:58:09 2014  reading all ideals from disk
Tue Apr  8 02:58:09 2014  memory use: 363.0 MB
Tue Apr  8 02:58:09 2014  keeping 11173280 ideals with weight <= 200, target excess is 51112
Tue Apr  8 02:58:10 2014  commencing in-memory singleton removal
Tue Apr  8 02:58:10 2014  begin with 9942690 relations and 11173280 unique ideals
Tue Apr  8 02:58:15 2014  reduce to 3436386 relations and 3510191 ideals in 25 passes
Tue Apr  8 02:58:15 2014  max relations containing the same ideal: 98
Tue Apr  8 03:22:07 2014  
Tue Apr  8 03:22:07 2014  commencing relation filtering
Tue Apr  8 03:22:07 2014  estimated available RAM is 15988.7 MB
Tue Apr  8 03:22:07 2014  commencing duplicate removal, pass 1
Tue Apr  8 03:22:44 2014  found 1494204 hash collisions in 11360022 relations
Tue Apr  8 03:22:54 2014  added 58 free relations
Tue Apr  8 03:22:54 2014  commencing duplicate removal, pass 2
Tue Apr  8 03:23:04 2014  found 896504 duplicates and 10463576 unique relations
Tue Apr  8 03:23:04 2014  memory use: 41.3 MB
Tue Apr  8 03:23:04 2014  reading ideals above 720000
Tue Apr  8 03:23:04 2014  commencing singleton removal, initial pass
Tue Apr  8 03:23:49 2014  memory use: 344.5 MB
Tue Apr  8 03:23:49 2014  reading all ideals from disk
Tue Apr  8 03:23:49 2014  memory use: 309.1 MB
Tue Apr  8 03:23:49 2014  commencing in-memory singleton removal
Tue Apr  8 03:23:50 2014  begin with 10463576 relations and 11323630 unique ideals
Tue Apr  8 03:23:53 2014  reduce to 4200009 relations and 4020981 ideals in 18 passes
Tue Apr  8 03:23:53 2014  max relations containing the same ideal: 75
Tue Apr  8 03:23:54 2014  removing 299237 relations and 276898 ideals in 22339 cliques
Tue Apr  8 03:23:55 2014  commencing in-memory singleton removal
Tue Apr  8 03:23:55 2014  begin with 3900772 relations and 4020981 unique ideals
Tue Apr  8 03:23:56 2014  reduce to 3881369 relations and 3724524 ideals in 9 passes
Tue Apr  8 03:23:56 2014  max relations containing the same ideal: 72
Tue Apr  8 03:23:57 2014  removing 216317 relations and 193978 ideals in 22339 cliques
Tue Apr  8 03:23:57 2014  commencing in-memory singleton removal
Tue Apr  8 03:23:57 2014  begin with 3665052 relations and 3724524 unique ideals
Tue Apr  8 03:23:58 2014  reduce to 3654064 relations and 3519488 ideals in 9 passes
Tue Apr  8 03:23:58 2014  max relations containing the same ideal: 70
Tue Apr  8 03:24:00 2014  relations with 0 large ideals: 459
Tue Apr  8 03:24:00 2014  relations with 1 large ideals: 2268
Tue Apr  8 03:24:00 2014  relations with 2 large ideals: 32175
Tue Apr  8 03:24:00 2014  relations with 3 large ideals: 191108
Tue Apr  8 03:24:00 2014  relations with 4 large ideals: 585720
Tue Apr  8 03:24:00 2014  relations with 5 large ideals: 1011356
Tue Apr  8 03:24:00 2014  relations with 6 large ideals: 1015785
Tue Apr  8 03:24:00 2014  relations with 7+ large ideals: 815193
Tue Apr  8 03:24:00 2014  commencing 2-way merge
Tue Apr  8 03:24:01 2014  reduce to 2084514 relation sets and 1949940 unique ideals
Tue Apr  8 03:24:01 2014  ignored 2 oversize relation sets
Tue Apr  8 03:24:01 2014  commencing full merge
Tue Apr  8 03:24:19 2014  memory use: 217.6 MB
Tue Apr  8 03:24:19 2014  found 1027689 cycles, need 1012140
Tue Apr  8 03:24:19 2014  weight of 1012140 cycles is about 71148100 (70.29/cycle)
Tue Apr  8 03:24:19 2014  distribution of cycle lengths:
Tue Apr  8 03:24:19 2014  1 relations: 133813
Tue Apr  8 03:24:19 2014  2 relations: 123664
Tue Apr  8 03:24:19 2014  3 relations: 118053
Tue Apr  8 03:24:19 2014  4 relations: 103137
Tue Apr  8 03:24:19 2014  5 relations: 91069
Tue Apr  8 03:24:19 2014  6 relations: 74893
Tue Apr  8 03:24:19 2014  7 relations: 65060
Tue Apr  8 03:24:19 2014  8 relations: 54880
Tue Apr  8 03:24:19 2014  9 relations: 45603
Tue Apr  8 03:24:19 2014  10+ relations: 201968
Tue Apr  8 03:24:19 2014  heaviest cycle: 23 relations
Tue Apr  8 03:24:19 2014  commencing cycle optimization
Tue Apr  8 03:24:20 2014  start with 6067239 relations
Tue Apr  8 03:24:25 2014  pruned 127720 relations
Tue Apr  8 03:24:25 2014  memory use: 205.8 MB
Tue Apr  8 03:24:25 2014  distribution of cycle lengths:
Tue Apr  8 03:24:25 2014  1 relations: 133813
Tue Apr  8 03:24:25 2014  2 relations: 126359
Tue Apr  8 03:24:25 2014  3 relations: 121864
Tue Apr  8 03:24:25 2014  4 relations: 105168
Tue Apr  8 03:24:25 2014  5 relations: 92534
Tue Apr  8 03:24:25 2014  6 relations: 75527
Tue Apr  8 03:24:25 2014  7 relations: 65348
Tue Apr  8 03:24:25 2014  8 relations: 54268
Tue Apr  8 03:24:25 2014  9 relations: 45098
Tue Apr  8 03:24:25 2014  10+ relations: 192161
Tue Apr  8 03:24:25 2014  heaviest cycle: 23 relations
Tue Apr  8 03:24:26 2014  RelProcTime: 139
Tue Apr  8 03:24:27 2014  
Tue Apr  8 03:24:27 2014  commencing linear algebra
Tue Apr  8 03:24:27 2014  read 1012140 cycles
Tue Apr  8 03:24:28 2014  cycles contain 3498182 unique relations
Tue Apr  8 03:24:44 2014  read 3498182 relations
Tue Apr  8 03:24:46 2014  using 20 quadratic characters above 134217368
Tue Apr  8 03:24:57 2014  building initial matrix
Tue Apr  8 03:25:17 2014  memory use: 436.4 MB
Tue Apr  8 03:25:17 2014  read 1012140 cycles
Tue Apr  8 03:25:17 2014  matrix is 1011963 x 1012140 (304.1 MB) with weight 95366199 (94.22/col)
Tue Apr  8 03:25:17 2014  sparse part has weight 68593646 (67.77/col)
Tue Apr  8 03:25:23 2014  filtering completed in 2 passes
Tue Apr  8 03:25:23 2014  matrix is 1008820 x 1008995 (303.8 MB) with weight 95231478 (94.38/col)
Tue Apr  8 03:25:23 2014  sparse part has weight 68550007 (67.94/col)
Tue Apr  8 03:25:26 2014  matrix starts at (0, 0)
Tue Apr  8 03:25:26 2014  matrix is 1008820 x 1008995 (303.8 MB) with weight 95231478 (94.38/col)
Tue Apr  8 03:25:26 2014  sparse part has weight 68550007 (67.94/col)
Tue Apr  8 03:25:26 2014  saving the first 48 matrix rows for later
Tue Apr  8 03:25:26 2014  matrix includes 64 packed rows
Tue Apr  8 03:25:26 2014  matrix is 1008772 x 1008995 (293.0 MB) with weight 75570018 (74.90/col)
Tue Apr  8 03:25:26 2014  sparse part has weight 66721163 (66.13/col)
Tue Apr  8 03:25:26 2014  using block size 65536 for processor cache size 8192 kB
Tue Apr  8 03:25:28 2014  commencing Lanczos iteration (8 threads)
Tue Apr  8 03:25:28 2014  memory use: 283.6 MB
Tue Apr  8 03:25:31 2014  linear algebra at 0.2%, ETA 0h33m
Tue Apr  8 03:25:31 2014  checkpointing every 2430000 dimensions
Tue Apr  8 03:53:03 2014  lanczos halted after 15953 iterations (dim = 1008771)
Tue Apr  8 03:53:04 2014  recovered 30 nontrivial dependencies
Tue Apr  8 03:53:04 2014  BLanczosTime: 1717
Tue Apr  8 03:53:04 2014  
Tue Apr  8 03:53:04 2014  commencing square root phase
Tue Apr  8 03:53:04 2014  reading relations for dependency 1
Tue Apr  8 03:53:04 2014  read 505077 cycles
Tue Apr  8 03:53:05 2014  cycles contain 1751160 unique relations
Tue Apr  8 03:53:17 2014  read 1751160 relations
Tue Apr  8 03:53:21 2014  multiplying 1751160 relations
Tue Apr  8 03:54:31 2014  multiply complete, coefficients have about 80.75 million bits
Tue Apr  8 03:54:31 2014  initial square root is modulo 625871
Tue Apr  8 03:55:52 2014  sqrtTime: 168
--
n: 11980712719786990261448039657424316299891344226813246336658884335064873160493521233841391728404835564196652344857137627512959
skew: 90011.85
c0: -153502088289737416342239011220
c1: 3746352346202791934386212
c2: 91264781996001684043
c3: -874990885772840
c4: -7711404420
c5: 69552
Y0: -703452395089697132614757
Y1: 7765358775017
rlim: 7000000
alim: 7000000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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)
403e659061CypJanuary 1, 2014 00:34:37 UTC 2014 年 1 月 1 日 (水) 9 時 34 分 37 秒 (日本時間)
229CypJanuary 6, 2014 02:07:05 UTC 2014 年 1 月 6 日 (月) 11 時 7 分 5 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:02 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 2 秒 (日本時間)
4511e62001 / 4345501CypFebruary 19, 2014 06:32:44 UTC 2014 年 2 月 19 日 (水) 15 時 32 分 44 秒 (日本時間)
1500Dmitry DomanovApril 4, 2014 13:31:12 UTC 2014 年 4 月 4 日 (金) 22 時 31 分 12 秒 (日本時間)

79×10213-439

c166

name 名前Serge Batalov
date 日付November 26, 2013 23:23:33 UTC 2013 年 11 月 27 日 (水) 8 時 23 分 33 秒 (日本時間)
composite number 合成数
8255344754813782383252291682114055107309724190602919749436153343839119953581898823536446440661573585857167791172483266180519033659313995640554144438849030056685383409<166>
prime factors 素因数
380691258877209641042510275377503<33>
composite cofactor 合成数の残り
21685143964591288382351058471032291306679611890945346155659535498158086147334297975361834922800743718113302102690853428609496082000303<134>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=782015370
Step 1 took 3627ms
Step 2 took 2057ms
********** Factor found in step 2: 380691258877209641042510275377503
Found probable prime factor of 33 digits: 380691258877209641042510275377503
Composite cofactor 

c134

name 名前Ignacio Santos
date 日付December 4, 2013 13:08:30 UTC 2013 年 12 月 4 日 (水) 22 時 8 分 30 秒 (日本時間)
composite number 合成数
21685143964591288382351058471032291306679611890945346155659535498158086147334297975361834922800743718113302102690853428609496082000303<134>
prime factors 素因数
282908971801702243904602988421642683<36>
76650605410248111320262253969407625150044026669457544695538822191700792898886172820633760648554141<98>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3549482149
Step 1 took 1453ms
Step 2 took 390ms
********** Factor found in step 2: 282908971801702243904602988421642683
Found probable prime factor of 36 digits: 282908971801702243904602988421642683
Probable prime cofactor 76650605410248111320262253969407625150044026669457544695538822191700792898886172820633760648554141 has 98 digits
software ソフトウェア
GMP-ECM 7.0

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)

79×10215-439

c144

name 名前Robert Balfour
date 日付March 28, 2020 22:57:56 UTC 2020 年 3 月 29 日 (日) 7 時 57 分 56 秒 (日本時間)
composite number 合成数
497824228268053078829817764485385117098682856277947287393880804767934827135047847067406100708634776768401046274429688266564241617347980360477951<144>
prime factors 素因数
2171945853680780891435541008032953682309618419742351566933994183097<67>
229206555690324401252045736063223432366569914369385266390810791416418194929783<78>
factorization results 素因数分解の結果
PID20100 2020-03-28 16:39:24,594 Debug:root: Root parameter dictionary:
N = 497824228268053078829817764485385117098682856277947287393880804767934827135047847067406100708634776768401046274429688266564241617347980360477951
name = 87773_215
tasks.I = 14
tasks.lim0 = 13000000
tasks.lim1 = 20000000
tasks.lpb0 = 30
tasks.lpb1 = 31
tasks.qmin = 100000
tasks.threads = 6
tasks.wutimeout = 1800
tasks.filter.target_density = 135.0
tasks.filter.purge.keep = 175
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.bwc.interleaving = 0
tasks.linalg.bwc.threads = 6
tasks.linalg.characters.nchar = 50
tasks.polyselect.P = 300000
tasks.polyselect.admax = 20e4
tasks.polyselect.admin = 12600
tasks.polyselect.adrange = 840
tasks.polyselect.degree = 5
tasks.polyselect.incr = 60
tasks.polyselect.nq = 15625
tasks.polyselect.nrkeep = 100
tasks.polyselect.threads = 2
tasks.sieve.lambda0 = 1.81
tasks.sieve.lambda1 = 1.79
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 58
tasks.sieve.ncurves0 = 19
tasks.sieve.ncurves1 = 22
tasks.sieve.qrange = 5000
tasks.sieve.rels_wanted = 82000000
tasks.sieve.las.threads = 2
PID20100 2020-03-28 16:57:54,755 Info:Polynomial Selection (root optimized): Best polynomial is:
n: 497824228268053078829817764485385117098682856277947287393880804767934827135047847067406100708634776768401046274429688266564241617347980360477951
skew: 321127.173
c0: -9309337484230339094103161633010432
c1: 28862109497211827590422950784
c2: 827515729831271641385372
c3: -420074492332617979
c4: -2201332112610
c5: -1159200
Y0: 548734619640228831334123567
Y1: 15182889595456118151121
# MurphyE (Bf=2.147e+09,Bg=1.074e+09,area=1.342e+13) = 2.894e-06
PID20100 2020-03-28 22:54:30,431 Info:Square Root: Factors: 229206555690324401252045736063223432366569914369385266390810791416418194929783 2171945853680780891435541008032953682309618419742351566933994183097
PID20100 2020-03-28 22:54:30,431 Debug:Square Root: Exit SqrtTask.run(sqrt)
PID20100 2020-03-28 22:54:30,431 Info:Polynomial Selection (size optimized): Aggregate statistics:
PID20100 2020-03-28 22:54:30,431 Info:Polynomial Selection (size optimized): potential collisions: 144726
PID20100 2020-03-28 22:54:30,431 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 146432/42.080/52.321/59.810/1.226
PID20100 2020-03-28 22:54:30,431 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 121318/41.900/46.222/52.550/0.971
PID20100 2020-03-28 22:54:30,431 Info:Polynomial Selection (size optimized): Total time: 63565.6
PID20100 2020-03-28 22:54:30,431 Info:Polynomial Selection (root optimized): Aggregate statistics:
PID20100 2020-03-28 22:54:30,431 Info:Polynomial Selection (root optimized): Total time: 2376.65
PID20100 2020-03-28 22:54:30,431 Info:Polynomial Selection (root optimized): Rootsieve time: 2374.63
PID20100 2020-03-28 22:54:30,431 Info:Generate Factor Base: Total cpu/real time for makefb: 14.42/2.8446
PID20100 2020-03-28 22:54:30,431 Info:Generate Free Relations: Total cpu/real time for freerel: 1345.26/226.923
PID20100 2020-03-28 22:54:30,431 Info:Lattice Sieving: Aggregate statistics:
PID20100 2020-03-28 22:54:30,431 Info:Lattice Sieving: Total number of relations: 86520822
PID20100 2020-03-28 22:54:30,431 Info:Lattice Sieving: Average J: 7841.03 for 425018 special-q, max bucket fill -bkmult 1.0,1s:1.142630
PID20100 2020-03-28 22:54:30,431 Info:Lattice Sieving: Total time: 407633s
PID20100 2020-03-28 22:54:30,431 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 265.26/290.167
PID20100 2020-03-28 22:54:30,431 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
PID20100 2020-03-28 22:54:30,432 Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 288.2s
PID20100 2020-03-28 22:54:30,432 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1061.31/404.352
PID20100 2020-03-28 22:54:30,432 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
PID20100 2020-03-28 22:54:30,432 Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 297.09999999999997s
PID20100 2020-03-28 22:54:30,432 Info:Filtering - Singleton removal: Total cpu/real time for purge: 442.42/218.084
PID20100 2020-03-28 22:54:30,432 Info:Filtering - Merging: Total cpu/real time for merge: 170.04/38.7902
PID20100 2020-03-28 22:54:30,432 Info:Filtering - Merging: Total cpu/real time for replay: 63.17/62.5475
PID20100 2020-03-28 22:54:30,432 Info:Linear Algebra: Total cpu/real time for bwc: 54122.4/9443.72
PID20100 2020-03-28 22:54:30,432 Info:Linear Algebra: Aggregate statistics:
PID20100 2020-03-28 22:54:30,432 Info:Linear Algebra: Krylov: WCT time 5981.22, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (77824 iterations)
PID20100 2020-03-28 22:54:30,432 Info:Linear Algebra: Lingen CPU time 312.46, WCT time 58.58
PID20100 2020-03-28 22:54:30,432 Info:Linear Algebra: Mksol: WCT time 3265.12, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (38400 iterations)
PID20100 2020-03-28 22:54:30,432 Info:Quadratic Characters: Total cpu/real time for characters: 82.55/25.1723
PID20100 2020-03-28 22:54:30,432 Info:Square Root: Total cpu/real time for sqrt: 2201.03/399.706
PID20100 2020-03-28 22:54:30,432 Info:HTTP server: Shutting down HTTP server
PID20100 2020-03-28 22:54:30,730 Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 969293/22505.1
software ソフトウェア
CADO-NFS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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 17:31:36 UTC 2013 年 12 月 5 日 (木) 2 時 31 分 36 秒 (日本時間)
4511e6444260Serge BatalovDecember 4, 2013 17:31:36 UTC 2013 年 12 月 5 日 (木) 2 時 31 分 36 秒 (日本時間)
230Ignacio SantosDecember 25, 2013 00:22:45 UTC 2013 年 12 月 25 日 (水) 9 時 22 分 45 秒 (日本時間)
230Ignacio SantosDecember 26, 2013 15:32:19 UTC 2013 年 12 月 27 日 (金) 0 時 32 分 19 秒 (日本時間)
230Ignacio SantosDecember 26, 2013 19:02:34 UTC 2013 年 12 月 27 日 (金) 4 時 2 分 34 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:24:07 UTC 2014 年 1 月 6 日 (月) 11 時 24 分 7 秒 (日本時間)
1000Dmitry DomanovApril 4, 2014 13:31:31 UTC 2014 年 4 月 4 日 (金) 22 時 31 分 31 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:51 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 51 秒 (日本時間)
492Ignacio SantosDecember 22, 2015 15:46:51 UTC 2015 年 12 月 23 日 (水) 0 時 46 分 51 秒 (日本時間)

79×10216-439

c152

composite cofactor 合成数の残り
23283615885918628235070521973228739527895030970433490235865354656384008763374390504899427855139080027014190824369307667197834576298301480893669969982131<152>

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 6, 2014 13:32:30 UTC 2014 年 1 月 6 日 (月) 22 時 32 分 30 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:03 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 3 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:15:59 UTC 2014 年 2 月 26 日 (水) 20 時 15 分 59 秒 (日本時間)
4511e61500 / 3311Dmitry DomanovApril 4, 2014 13:31:59 UTC 2014 年 4 月 4 日 (金) 22 時 31 分 59 秒 (日本時間)
5043e6200 / 7137Dmitry DomanovSeptember 9, 2014 06:13:34 UTC 2014 年 9 月 9 日 (火) 15 時 13 分 34 秒 (日本時間)

79×10217-439

c140

name 名前Erik Branger
date 日付September 6, 2016 06:31:17 UTC 2016 年 9 月 6 日 (火) 15 時 31 分 17 秒 (日本時間)
composite number 合成数
47809187542455198013237306289992057107909135497193094954178283796145108773970633061985016502524067939611885086928107008302158122058255097777<140>
prime factors 素因数
1421786666590182355788595928779880835065421539381011<52>
33626132995827130387294976730360019402068713955784648183581442923744129847448178161793707<89>
factorization results 素因数分解の結果
Number: 87773_217
N = 47809187542455198013237306289992057107909135497193094954178283796145108773970633061985016502524067939611885086928107008302158122058255097777 (140 digits)
Divisors found:
r1=1421786666590182355788595928779880835065421539381011 (pp52)
r2=33626132995827130387294976730360019402068713955784648183581442923744129847448178161793707 (pp89)
Version: Msieve v. 1.51 (SVN 845)
Total time: 349.13 hours.
Factorization parameters were as follows:
# Murphy_E = 2.185e-11, selected by Erik Branger
# expecting poly E from 2.15e-011 to > 2.47e-011
n: 47809187542455198013237306289992057107909135497193094954178283796145108773970633061985016502524067939611885086928107008302158122058255097777
Y0: -1402197140814243587855363820
Y1: 552137383908307
c0: -188931092603843221146390502133329
c1: 238921102642651594112519359
c2: 45671459714714036010787
c3: 90236596929950561
c4: -134496724038
c5: 8820
skew: 568751.94
type: gnfs
# selected mechanically
rlim: 17900000
alim: 17900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 17900000/17900000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23108560
Relations: 3361032 relations
Pruned matrix : 2115268 x 2115492
Polynomial selection time: 0.00 hours.
Total sieving time: 343.65 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 4.13 hours.
time per square root: 1.16 hours.
Prototype def-par.txt line would be: gnfs,139,5,65,2000,1e-05,0.28,250,20,50000,3600,17900000,17900000,28,28,55,55,2.6,2.6,100000
total time: 349.13 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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 17:31:32 UTC 2013 年 12 月 5 日 (木) 2 時 31 分 32 秒 (日本時間)
4511e6395060Serge BatalovDecember 4, 2013 17:31:32 UTC 2013 年 12 月 5 日 (木) 2 時 31 分 32 秒 (日本時間)
230Ignacio SantosDecember 22, 2013 20:04:14 UTC 2013 年 12 月 23 日 (月) 5 時 4 分 14 秒 (日本時間)
230Ignacio SantosDecember 24, 2013 17:53:20 UTC 2013 年 12 月 25 日 (水) 2 時 53 分 20 秒 (日本時間)
230Ignacio SantosDecember 25, 2013 00:21:36 UTC 2013 年 12 月 25 日 (水) 9 時 21 分 36 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:23:29 UTC 2014 年 1 月 6 日 (月) 11 時 23 分 29 秒 (日本時間)
1000Dmitry DomanovApril 4, 2014 13:32:41 UTC 2014 年 4 月 4 日 (金) 22 時 32 分 41 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:22 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 22 秒 (日本時間)
5043e6250 / 6658Rich DickersonOctober 14, 2015 23:07:25 UTC 2015 年 10 月 15 日 (木) 8 時 7 分 25 秒 (日本時間)

79×10218-439

c201

composite cofactor 合成数の残り
263925756042448195125834539790448818648305534491210274798208758846345527429977674336909756760835103251854650299107358714725485029296907384889423031367521931624313466339099838916659398136097050261275659<201>

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 20:27:01 UTC 2014 年 1 月 7 日 (火) 5 時 27 分 1 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:09:04 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 4 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:16:11 UTC 2014 年 2 月 26 日 (水) 20 時 16 分 11 秒 (日本時間)
4511e61587 / 404087CypMarch 7, 2014 04:33:15 UTC 2014 年 3 月 7 日 (金) 13 時 33 分 15 秒 (日本時間)
1500Dmitry DomanovApril 4, 2014 13:32:57 UTC 2014 年 4 月 4 日 (金) 22 時 32 分 57 秒 (日本時間)

79×10219-439

c174

name 名前Erik Branger
date 日付October 5, 2020 15:41:58 UTC 2020 年 10 月 6 日 (火) 0 時 41 分 58 秒 (日本時間)
composite number 合成数
219991226611495251766054765162948279341063881714552424423663412904443995834641257685518421626120007068248084033529462553447665662690025154547030040145821623830358388944637553<174>
prime factors 素因数
385681526445489133094197665561077140924808808470933737119077<60>
570396069106483470560291708214116864609109772502861788959089958995523953558383945290813667216321054793879810716189<114>
factorization results 素因数分解の結果
Number: 87773_219
N = 219991226611495251766054765162948279341063881714552424423663412904443995834641257685518421626120007068248084033529462553447665662690025154547030040145821623830358388944637553 (174 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=385681526445489133094197665561077140924808808470933737119077 (pp60)
r2=570396069106483470560291708214116864609109772502861788959089958995523953558383945290813667216321054793879810716189 (pp114)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 80.91 hours.
Factorization parameters were as follows:
n: 219991226611495251766054765162948279341063881714552424423663412904443995834641257685518421626120007068248084033529462553447665662690025154547030040145821623830358388944637553
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 79
c0: -430
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 8475860 relations
Pruned matrix : 7235156 x 7235381
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 39.50 hours.
Total relation processing time: 0.35 hours.
Matrix solve time: 40.83 hours.
time per square root: 0.23 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 80.91 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_Factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto 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 20:48:42 UTC 2014 年 1 月 4 日 (土) 5 時 48 分 42 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:04 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 4 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:16:19 UTC 2014 年 2 月 26 日 (水) 20 時 16 分 19 秒 (日本時間)
4511e61500 / 3175Dmitry DomanovApril 4, 2014 13:33:11 UTC 2014 年 4 月 4 日 (金) 22 時 33 分 11 秒 (日本時間)
5043e6239 / 713739CypJanuary 22, 2014 11:38:13 UTC 2014 年 1 月 22 日 (水) 20 時 38 分 13 秒 (日本時間)
200Dmitry DomanovSeptember 9, 2014 06:13:52 UTC 2014 年 9 月 9 日 (火) 15 時 13 分 52 秒 (日本時間)

79×10222-439

c194

name 名前Serge Batalov
date 日付November 26, 2013 23:37:23 UTC 2013 年 11 月 27 日 (水) 8 時 37 分 23 秒 (日本時間)
composite number 合成数
20858478827991392477869715544687167679142293689779116978043998596263504646768204736364843939658232064473842380641132144780387497076442954819138311179039925875919184542678394338475657148269422307<194>
prime factors 素因数
160890829343946915289915513373<30>
composite cofactor 合成数の残り
129643677722618045795110544104497091690326140398460329573852479547062178505384885554930465738798638382852368401163972880757110838828454349092089778661458641033852159<165>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1540698873
Step 1 took 5521ms
********** Factor found in step 1: 160890829343946915289915513373
Found probable prime factor of 30 digits: 160890829343946915289915513373
Composite cofactor 

c165

name 名前Dmitry Domanov
date 日付April 7, 2014 05:14:14 UTC 2014 年 4 月 7 日 (月) 14 時 14 分 14 秒 (日本時間)
composite number 合成数
129643677722618045795110544104497091690326140398460329573852479547062178505384885554930465738798638382852368401163972880757110838828454349092089778661458641033852159<165>
prime factors 素因数
734751122776101422714259812366806566765097<42>
176445702094046323032501256928299782517957817217303105930907381810676196791325978778113947549808085076284936732926126895847<123>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3180535679
Step 1 took 71222ms
Step 2 took 26939ms
********** Factor found in step 2: 734751122776101422714259812366806566765097
Found probable prime factor of 42 digits: 734751122776101422714259812366806566765097

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 20:27:02 UTC 2014 年 1 月 7 日 (火) 5 時 27 分 2 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:09:05 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 5 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:16:27 UTC 2014 年 2 月 26 日 (水) 20 時 16 分 27 秒 (日本時間)
4511e61500 / 3875Dmitry DomanovApril 4, 2014 13:33:25 UTC 2014 年 4 月 4 日 (金) 22 時 33 分 25 秒 (日本時間)
5043e647 / 7143CypFebruary 1, 2014 01:51:02 UTC 2014 年 2 月 1 日 (土) 10 時 51 分 2 秒 (日本時間)

79×10223-439

c211

name 名前Serge Batalov
date 日付November 27, 2013 17:30:35 UTC 2013 年 11 月 28 日 (木) 2 時 30 分 35 秒 (日本時間)
composite number 合成数
2318235553751225140137148150812144583959342525869941391248278050285206100450130543178204231745188054114407341977557112042564747869352016873111807522251495706932733817717429653233504071081645923085351944415281921<211>
prime factors 素因数
475446547797171592973640537862313<33>
composite cofactor 合成数の残り
4875912054661081722660185768574885678507299443209533127793752080458637896009087096336153808635972316672264093170833522820613942808162657233993014888044016174890685577417143320217<178>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=984605225
Step 1 took 5364ms
Step 2 took 2606ms
********** Factor found in step 2: 475446547797171592973640537862313
Found probable prime factor of 33 digits: 475446547797171592973640537862313
Composite cofactor 

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 20:27:03 UTC 2014 年 1 月 7 日 (火) 5 時 27 分 3 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:09:06 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 6 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:16:36 UTC 2014 年 2 月 26 日 (水) 20 時 16 分 36 秒 (日本時間)
4511e61500 / 4040Dmitry DomanovApril 4, 2014 13:33:42 UTC 2014 年 4 月 4 日 (金) 22 時 33 分 42 秒 (日本時間)

79×10224-439

c195

name 名前Serge Batalov
date 日付November 26, 2013 23:41:09 UTC 2013 年 11 月 27 日 (水) 8 時 41 分 9 秒 (日本時間)
composite number 合成数
201561462676974665740608942442000095367768304597200052480413908210520077016286906203136485240805204582234458244748940749697881344351360357225537479871741595189123372494021948168690739301027572061<195>
prime factors 素因数
304795844926403715181478874936549919<36>
composite cofactor 合成数の残り
661299902974871201903713447498174019484551702684130945166441951445396937131219600157852694985384787098812877937608008252698379703822120374508941377361352924419<159>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1638203630
Step 1 took 5389ms
Step 2 took 2524ms
********** Factor found in step 2: 304795844926403715181478874936549919
Found probable prime factor of 36 digits: 304795844926403715181478874936549919
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 6, 2014 17:41:50 UTC 2014 年 1 月 7 日 (火) 2 時 41 分 50 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:06 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 6 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:16:44 UTC 2014 年 2 月 26 日 (水) 20 時 16 分 44 秒 (日本時間)
4511e61500 / 3175Dmitry DomanovApril 4, 2014 13:33:59 UTC 2014 年 4 月 4 日 (金) 22 時 33 分 59 秒 (日本時間)
5043e6239 / 713739CypJanuary 28, 2014 15:52:44 UTC 2014 年 1 月 29 日 (水) 0 時 52 分 44 秒 (日本時間)
200Dmitry DomanovSeptember 9, 2014 06:14:12 UTC 2014 年 9 月 9 日 (火) 15 時 14 分 12 秒 (日本時間)

79×10226-439

c216

composite cofactor 合成数の残り
105658870724876262200820711835063510090934625360943935383981342292315039321694188338565086523619898467250880603429291886201559162952606045481665004175444611453175355051640147913337910403500286976253919654369380933667<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 2, 2014 04:16:29 UTC 2014 年 1 月 2 日 (木) 13 時 16 分 29 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:07 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 7 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:16:51 UTC 2014 年 2 月 26 日 (水) 20 時 16 分 51 秒 (日本時間)
4511e61500 / 3876Dmitry DomanovApril 4, 2014 13:34:16 UTC 2014 年 4 月 4 日 (金) 22 時 34 分 16 秒 (日本時間)
5043e639 / 7137CypJanuary 27, 2014 16:04:42 UTC 2014 年 1 月 28 日 (火) 1 時 4 分 42 秒 (日本時間)

79×10227-439

c195

name 名前Dmitry Domanov
date 日付April 7, 2014 05:16:22 UTC 2014 年 4 月 7 日 (月) 14 時 16 分 22 秒 (日本時間)
composite number 合成数
113141341961607347897315880780340686373110600170694449987589792410617625379546567600713181435830536719979651249964044691257906125193509437265871036784038978389218378353095880796732963007495121721<195>
prime factors 素因数
12787319030673479851341271395827000479801<41>
8847932994415049273980591623665369944489385327971226717235198037041286332070860109186105264170873038741641284830312803252542739979137694579622531698225921<154>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4007011331
Step 1 took 86790ms
Step 2 took 28514ms
********** Factor found in step 2: 12787319030673479851341271395827000479801
Found probable prime factor of 41 digits: 12787319030673479851341271395827000479801

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 20:27:04 UTC 2014 年 1 月 7 日 (火) 5 時 27 分 4 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:09:08 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 8 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:17:01 UTC 2014 年 2 月 26 日 (水) 20 時 17 分 1 秒 (日本時間)
4511e61500 / 4040Dmitry DomanovApril 4, 2014 13:34:30 UTC 2014 年 4 月 4 日 (金) 22 時 34 分 30 秒 (日本時間)

79×10228-439

c191

composite cofactor 合成数の残り
11098903337406152753555478358833001612748585469020259286824770715858056071379376287307614268073913614237708706779296874090848333828837328929986229853472791610344755914563996612959811964105959<191>

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 16:17:47 UTC 2014 年 1 月 6 日 (月) 1 時 17 分 47 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:08 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 8 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:17:10 UTC 2014 年 2 月 26 日 (水) 20 時 17 分 10 秒 (日本時間)
4511e61500 / 3876Dmitry DomanovApril 4, 2014 13:34:44 UTC 2014 年 4 月 4 日 (金) 22 時 34 分 44 秒 (日本時間)
5043e639 / 7137CypJanuary 11, 2014 23:50:46 UTC 2014 年 1 月 12 日 (日) 8 時 50 分 46 秒 (日本時間)

79×10229-439

c215

composite cofactor 合成数の残り
58623845471615313418704351422564168174166311208046118326923208683940530893163796350342212875067929495242207039865614738679370268812612508911424907352753199396847846553759256024208368219278903762062414835348168641973<215>

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)
403e63590290CypJanuary 5, 2014 07:31:40 UTC 2014 年 1 月 5 日 (日) 16 時 31 分 40 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:09 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 9 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:17:18 UTC 2014 年 2 月 26 日 (水) 20 時 17 分 18 秒 (日本時間)
1500Dmitry DomanovApril 4, 2014 13:35:04 UTC 2014 年 4 月 4 日 (金) 22 時 35 分 4 秒 (日本時間)

79×10230-439

c225

name 名前Serge Batalov
date 日付November 27, 2013 17:33:23 UTC 2013 年 11 月 28 日 (木) 2 時 33 分 23 秒 (日本時間)
composite number 合成数
821868527460240029304294533544355880308061292249894223439836050753190488421901110906164149200139863297255385657645151084923674942466602228012754151138293112231973328181570108038259124327173168635041789933941536850452074505399<225>
prime factors 素因数
35232343662052490751598523090617913<35>
composite cofactor 合成数の残り
23327103508741188439322284543493892224056989571612514126685956894187711121459344165298996067283945072593765142504669565331548105870303409842213847914695686729799704690111925805436697004851823<191>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3333366688
Step 1 took 6786ms
Step 2 took 570ms
********** Factor found in step 2: 35232343662052490751598523090617913
Found probable prime factor of 35 digits: 35232343662052490751598523090617913
Composite cofactor 

c191

name 名前Dmitry Domanov
date 日付February 14, 2014 05:25:23 UTC 2014 年 2 月 14 日 (金) 14 時 25 分 23 秒 (日本時間)
composite number 合成数
23327103508741188439322284543493892224056989571612514126685956894187711121459344165298996067283945072593765142504669565331548105870303409842213847914695686729799704690111925805436697004851823<191>
prime factors 素因数
24990078595671032150832342836337691739<38>
933454587565086063296719589148555233615209408391136405914459170307080295638842737700271806403088174107295313411956952007190782775448367920589444121759357<153>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3752685025
Step 1 took 20445ms
Step 2 took 7510ms
********** Factor found in step 2: 24990078595671032150832342836337691739
Found probable prime factor of 38 digits: 24990078595671032150832342836337691739

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)
403e6590 / 2318290CypJanuary 4, 2014 20:00:56 UTC 2014 年 1 月 5 日 (日) 5 時 0 分 56 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:10 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 10 秒 (日本時間)

79×10231-439

c183

name 名前Serge Batalov
date 日付November 26, 2013 23:28:38 UTC 2013 年 11 月 27 日 (水) 8 時 28 分 38 秒 (日本時間)
composite number 合成数
153668124485776642470264614197266783326747928963256697903777505073692468028536142125898617281898912413153395081964493545266880271528955544970007828164064151469613847376160844788250669<183>
prime factors 素因数
58270364920882798493569375161467<32>
310976904884388889187026623888632089<36>
8480235560991055386918716515794799356292372682589215975702203287516733828174627963890911544060494831270690027016463<115>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=591543943
Step 1 took 4592ms
Step 2 took 2269ms
********** Factor found in step 2: 58270364920882798493569375161467
Found probable prime factor of 32 digits: 58270364920882798493569375161467

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4107703417
Step 1 took 5277ms
Step 2 took 2761ms
********** Factor found in step 2: 310976904884388889187026623888632089
Found probable prime factor of 36 digits: 310976904884388889187026623888632089

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)

79×10232-439

c210

composite cofactor 合成数の残り
687539169877825962201602378955636603608957606730388490669397866631219111400075140161156658586739161864898561778658146281654707902570912478522089406387842933644402689368475524142076700148972363745405244071664463<210>

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 12:28:31 UTC 2014 年 1 月 1 日 (水) 21 時 28 分 31 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:10 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 10 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:17:26 UTC 2014 年 2 月 26 日 (水) 20 時 17 分 26 秒 (日本時間)
4511e61500 / 4013Dmitry DomanovApril 4, 2014 13:35:19 UTC 2014 年 4 月 4 日 (金) 22 時 35 分 19 秒 (日本時間)

79×10233-439

c210

name 名前Serge Batalov
date 日付November 27, 2013 17:37:37 UTC 2013 年 11 月 28 日 (木) 2 時 37 分 37 秒 (日本時間)
composite number 合成数
891706279324981921146270980389699436373667221691251570394383652803178662555713326555424847651989510587197474451258982247623631942161429917516909931954993668704893333409957223949082381637387961303283980610979147<210>
prime factors 素因数
3177657567144381646578430268981639<34>
composite cofactor 合成数の残り
280617486460732257495752403239594905795001589872681979688530319139019109634124912552548135598385171878368007046878321794628429584802488249710223631611493763954101631719735500573<177>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1077150504
Step 1 took 5807ms
Step 2 took 3048ms
********** Factor found in step 2: 3177657567144381646578430268981639
Found probable prime factor of 34 digits: 3177657567144381646578430268981639
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 02:22:08 UTC 2014 年 1 月 1 日 (水) 11 時 22 分 8 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:11 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 11 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:17:34 UTC 2014 年 2 月 26 日 (水) 20 時 17 分 34 秒 (日本時間)
4511e61500 / 3175Dmitry DomanovApril 4, 2014 13:35:35 UTC 2014 年 4 月 4 日 (金) 22 時 35 分 35 秒 (日本時間)
5043e6239 / 713739CypFebruary 3, 2014 13:18:02 UTC 2014 年 2 月 3 日 (月) 22 時 18 分 2 秒 (日本時間)
200Dmitry DomanovSeptember 9, 2014 06:14:30 UTC 2014 年 9 月 9 日 (火) 15 時 14 分 30 秒 (日本時間)

79×10234-439

c195

composite cofactor 合成数の残り
431489142216483720451500441631293840598425713330407091995696017846617670595470895365310625865865563571635386829534999642836540706428680135093555604119886659250629361213500248129712073079982738561<195>

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 20:27:05 UTC 2014 年 1 月 7 日 (火) 5 時 27 分 5 秒 (日本時間)
403e62090290CypJanuary 6, 2014 21:58:11 UTC 2014 年 1 月 7 日 (火) 6 時 58 分 11 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:12 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 12 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:17:42 UTC 2014 年 2 月 26 日 (水) 20 時 17 分 42 秒 (日本時間)
4511e61500 / 3976Dmitry DomanovApril 4, 2014 13:35:50 UTC 2014 年 4 月 4 日 (金) 22 時 35 分 50 秒 (日本時間)

79×10236-439

c196

name 名前Dmitry Domanov
date 日付April 7, 2014 05:16:59 UTC 2014 年 4 月 7 日 (月) 14 時 16 分 59 秒 (日本時間)
composite number 合成数
2347932014794320946704198785796157972184508141283672269853122706610365384241289225987518950783576337438432186993819254361803829557716498564630278058440645076403146978480711863350056845764520515871<196>
prime factors 素因数
19225731992290860629612898761142048446972591<44>
composite cofactor 合成数の残り
122124453609141923964686905603220806230669943004144193762623604048584633040154274361672179992487381302347346270112371789885328121552936751788215917096081<153>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2959793582
Step 1 took 102951ms
Step 2 took 35025ms
********** Factor found in step 2: 19225731992290860629612898761142048446972591
Found probable prime factor of 44 digits: 19225731992290860629612898761142048446972591

c153

name 名前yoyo@Home
date 日付April 23, 2021 12:20:47 UTC 2021 年 4 月 23 日 (金) 21 時 20 分 47 秒 (日本時間)
composite number 合成数
122124453609141923964686905603220806230669943004144193762623604048584633040154274361672179992487381302347346270112371789885328121552936751788215917096081<153>
prime factors 素因数
402371861473319921514828813052954812502818604550641657<54>
303511416434470610655024786189467481827128691612520924817124916634860521886368969491455707168870233<99>
factorization results 素因数分解の結果
GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 122124453609141923964686905603220806230669943004144193762623604048584633040154274361672179992487381302347346270112371789885328121552936751788215917096081 (153 digits)
[Fri Apr 23 07:13:32 2021]
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=0:13251774065853211553
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+07 3.6e+08
Writing checkpoint to checkpnt at p = 110000000
Step 1 took 167109ms
Using 19 small primes for NTT
Estimated memory usage: 435.00MB
Initializing tables of differences for F took 94ms
Computing roots of F took 5718ms
Building F from its roots took 3157ms
Computing 1/F took 1218ms
Initializing table of differences for G took 94ms
Computing roots of G took 4969ms
Building G from its roots took 2906ms
Computing roots of G took 5047ms
Building G from its roots took 2797ms
Computing G * H took 704ms
Reducing  G * H mod F took 703ms
Computing roots of G took 5000ms
Building G from its roots took 2640ms
Computing G * H took 687ms
Reducing  G * H mod F took 641ms
Computing roots of G took 4953ms
Building G from its roots took 3000ms
Computing G * H took 719ms
Reducing  G * H mod F took 703ms
Computing polyeval(F,G) took 5469ms
Computing product of all F(g_i) took 31ms
Step 2 took 51656ms
********** Factor found in step 2: 402371861473319921514828813052954812502818604550641657
Found prime factor of 54 digits: 402371861473319921514828813052954812502818604550641657
Prime cofactor 303511416434470610655024786189467481827128691612520924817124916634860521886368969491455707168870233 has 99 digits
Peak memory usage: 569MB
software ソフトウェア
GMP-ECM 7.0.5-dev

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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 20:27:05 UTC 2014 年 1 月 7 日 (火) 5 時 27 分 5 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:09:13 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 13 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:17:51 UTC 2014 年 2 月 26 日 (水) 20 時 17 分 51 秒 (日本時間)
4511e640401500Dmitry DomanovApril 4, 2014 13:36:06 UTC 2014 年 4 月 4 日 (金) 22 時 36 分 6 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:28 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 28 秒 (日本時間)
1640Ignacio SantosJanuary 22, 2016 16:42:16 UTC 2016 年 1 月 23 日 (土) 1 時 42 分 16 秒 (日本時間)

79×10237-439

c203

composite cofactor 合成数の残り
44159263212273370967788702830300848579562897681818901663797562992170866915134110989991649084213431233925353816404084412551775965114017162276359792610950545584520674020585835318651791223827582990556636267<203>

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 20:27:06 UTC 2014 年 1 月 7 日 (火) 5 時 27 分 6 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:09:14 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 14 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:17:59 UTC 2014 年 2 月 26 日 (水) 20 時 17 分 59 秒 (日本時間)
4511e61774 / 3875274CypFebruary 19, 2014 21:02:54 UTC 2014 年 2 月 20 日 (木) 6 時 2 分 54 秒 (日本時間)
1500Dmitry DomanovApril 4, 2014 13:36:20 UTC 2014 年 4 月 4 日 (金) 22 時 36 分 20 秒 (日本時間)
5043e647 / 7082CypJanuary 11, 2014 03:26:14 UTC 2014 年 1 月 11 日 (土) 12 時 26 分 14 秒 (日本時間)

79×10238-439

c197

composite cofactor 合成数の残り
42050868101599504998162649995109188030134223818496735419924338005052581963361158434808473539432057591673865549865761056353351350977167438619964700672174330031363292596172733586747507699222138250271<197>

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 2, 2014 18:20:12 UTC 2014 年 1 月 3 日 (金) 3 時 20 分 12 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:14 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 14 秒 (日本時間)
4511e62001 / 4345501CypFebruary 19, 2014 19:57:21 UTC 2014 年 2 月 20 日 (木) 4 時 57 分 21 秒 (日本時間)
1500Dmitry DomanovApril 4, 2014 13:36:36 UTC 2014 年 4 月 4 日 (金) 22 時 36 分 36 秒 (日本時間)

79×10239-439

c215

name 名前Serge Batalov
date 日付November 27, 2013 17:22:56 UTC 2013 年 11 月 28 日 (木) 2 時 22 分 56 秒 (日本時間)
composite number 合成数
53389591209536276101482766064763717320152455618741304416280781528481737164400306075420747675816955490112790814550524328651816779223007566823834061894083852451272079098726819440489699095410105131042915494205323726147<215>
prime factors 素因数
17821433249235868788865533093650659<35>
composite cofactor 合成数の残り
2995807938838222590773582593402888287985492781456909605298901130419311440221568383825443419096924503276871684999467859249986932931301039977129405695095729972573132666290282235801633<181>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2160567992
Step 1 took 6019ms
Step 2 took 2764ms
********** Factor found in step 2: 17821433249235868788865533093650659
Found probable prime factor of 35 digits: 17821433249235868788865533093650659
Composite cofactor

c181

name 名前Dmitry Domanov
date 日付April 7, 2014 05:17:36 UTC 2014 年 4 月 7 日 (月) 14 時 17 分 36 秒 (日本時間)
composite number 合成数
2995807938838222590773582593402888287985492781456909605298901130419311440221568383825443419096924503276871684999467859249986932931301039977129405695095729972573132666290282235801633<181>
prime factors 素因数
14224504118169051771437470971769681829<38>
composite cofactor 合成数の残り
210608954375545337654054813290441829498585248551320005804888613811547225586764136379624728825511338162913748462754269017283008942174998948515277<144>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2750591245
Step 1 took 90167ms
Step 2 took 30510ms
********** Factor found in step 2: 14224504118169051771437470971769681829
Found probable prime factor of 38 digits: 14224504118169051771437470971769681829

c144

name 名前Robert Balfour
date 日付March 24, 2020 18:31:27 UTC 2020 年 3 月 25 日 (水) 3 時 31 分 27 秒 (日本時間)
composite number 合成数
210608954375545337654054813290441829498585248551320005804888613811547225586764136379624728825511338162913748462754269017283008942174998948515277<144>
prime factors 素因数
1097193875168615334091590261286916723879484346473973027<55>
191952360600973302226693794064719243576798095971204682679794657990494211419831774065436751<90>
factorization results 素因数分解の結果
PID14618 2020-03-22 21:04:33,178 Debug:root: Root parameter dictionary:
N = 210608954375545337654054813290441829498585248551320005804888613811547225586764136379624728825511338162913748462754269017283008942174998948515277
name = 87773_239
tasks.I = 14
tasks.lim0 = 10000000
tasks.lim1 = 20000000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.qmin = 2000000
tasks.threads = 6
tasks.filter.target_density = 145.0
tasks.filter.purge.keep = 175
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.bwc.interleaving = 0
tasks.linalg.bwc.threads = 6
tasks.linalg.characters.nchar = 50
tasks.polyselect.P = 300000
tasks.polyselect.admax = 20e4
tasks.polyselect.admin = 8400
tasks.polyselect.adrange = 420
tasks.polyselect.degree = 5
tasks.polyselect.incr = 60
tasks.polyselect.nq = 15625
tasks.polyselect.nrkeep = 100
tasks.polyselect.threads = 2
tasks.sieve.mfb0 = 58
tasks.sieve.mfb1 = 58
tasks.sieve.qrange = 10000
tasks.sieve.las.threads = 2
PID27136 2020-03-23 00:16:22,701 Info:Polynomial Selection (root optimized): Best polynomial is:
n: 210608954375545337654054813290441829498585248551320005804888613811547225586764136379624728825511338162913748462754269017283008942174998948515277
skew: 23355.347
c0: -71722101179546478730981592040
c1: -35877407697641121672400322
c2: 3314120799501908754895
c3: 173970891289252727
c4: -3018470554610
c5: -1387680
Y0: -3310660816441616673922131277
Y1: 39979616231137738905781
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=2.684e+14) = 2.403e-07
PID22558 2020-03-24 17:02:58,988 Info:Square Root: Factors: 191952360600973302226693794064719243576798095971204682679794657990494211419831774065436751 1097193875168615334091590261286916723879484346473973027
PID22558 2020-03-24 17:02:58,989 Debug:Square Root: Exit SqrtTask.run(sqrt)
PID22558 2020-03-24 17:02:58,989 Info:Polynomial Selection (size optimized): Aggregate statistics:
PID22558 2020-03-24 17:02:58,989 Info:Polynomial Selection (size optimized): potential collisions: 147969
PID22558 2020-03-24 17:02:58,989 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 149659/42.980/52.200/67.840/1.246
PID22558 2020-03-24 17:02:58,989 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 124081/41.370/46.078/52.340/0.961
PID22558 2020-03-24 17:02:58,989 Info:Polynomial Selection (size optimized): Total time: 63685.5
PID22558 2020-03-24 17:02:58,990 Info:Polynomial Selection (root optimized): Aggregate statistics:
PID22558 2020-03-24 17:02:58,990 Info:Polynomial Selection (root optimized): Total time: 1993.75
PID22558 2020-03-24 17:02:58,990 Info:Polynomial Selection (root optimized): Rootsieve time: 1988.7
PID22558 2020-03-24 17:02:58,990 Info:Generate Factor Base: Total cpu/real time for makefb: 14.4/2.78273
PID22558 2020-03-24 17:02:58,990 Info:Generate Free Relations: Total cpu/real time for freerel: 341.02/58.6579
PID22558 2020-03-24 17:02:58,990 Info:Lattice Sieving: Aggregate statistics:
PID22558 2020-03-24 17:02:58,991 Info:Lattice Sieving: Total number of relations: 47064162
PID22558 2020-03-24 17:02:58,991 Info:Lattice Sieving: Average J: 7590.2 for 368798 special-q, max bucket fill -bkmult 1.0,1s:1.103310
PID22558 2020-03-24 17:02:58,991 Info:Lattice Sieving: Total time: 395175s
PID22558 2020-03-24 17:02:58,991 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 71.26/179.522
PID22558 2020-03-24 17:02:58,991 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
PID22558 2020-03-24 17:02:58,991 Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 178.5s
PID22558 2020-03-24 17:02:58,991 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 612.95/472.923
PID22558 2020-03-24 17:02:58,991 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
PID22558 2020-03-24 17:02:58,992 Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 430.4000000000001s
PID22558 2020-03-24 17:02:58,992 Info:Filtering - Singleton removal: Total cpu/real time for purge: 403.36/215.923
PID22558 2020-03-24 17:02:58,992 Info:Filtering - Merging: Total cpu/real time for merge: 187.73/42.9134
PID22558 2020-03-24 17:02:58,992 Info:Filtering - Merging: Total cpu/real time for replay: 64.25/66.287
PID22558 2020-03-24 17:02:58,992 Info:Linear Algebra: Total cpu/real time for bwc: 51169/8956.11
PID22558 2020-03-24 17:02:58,992 Info:Linear Algebra: Aggregate statistics:
PID22558 2020-03-24 17:02:58,993 Info:Linear Algebra: Krylov: WCT time 5649.74, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (73216 iterations)
PID22558 2020-03-24 17:02:58,993 Info:Linear Algebra: Lingen CPU time 296.69, WCT time 55.7
PID22558 2020-03-24 17:02:58,993 Info:Linear Algebra: Mksol: WCT time 3114.12, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (36864 iterations)
PID22558 2020-03-24 17:02:58,993 Info:Quadratic Characters: Total cpu/real time for characters: 76.66/24.0263
PID22558 2020-03-24 17:02:58,993 Info:Square Root: Total cpu/real time for sqrt: 2281.63/412.331
PID22558 2020-03-24 17:02:58,993 Info:HTTP server: Shutting down HTTP server
PID22558 2020-03-24 17:02:59,208 Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 886017/30732.4
software ソフトウェア
CADO-NFS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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 20:27:07 UTC 2014 年 1 月 7 日 (火) 5 時 27 分 7 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:09:15 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 15 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:18:15 UTC 2014 年 2 月 26 日 (水) 20 時 18 分 15 秒 (日本時間)
4511e641571500Dmitry DomanovApril 4, 2014 13:36:52 UTC 2014 年 4 月 4 日 (金) 22 時 36 分 52 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:48 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 48 秒 (日本時間)
857Ignacio SantosDecember 22, 2015 11:36:08 UTC 2015 年 12 月 22 日 (火) 20 時 36 分 8 秒 (日本時間)
5043e640 / 6547CypJanuary 10, 2014 22:31:26 UTC 2014 年 1 月 11 日 (土) 7 時 31 分 26 秒 (日本時間)

79×10240-439

c200

composite cofactor 合成数の残り
98399111651721488937500499966750523232408438916775161388445301862059687364909474173990067674272046898381947652073692591172918712196228074005110096253954774351079498686556603296626327267345599987658477<200>

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 20:27:08 UTC 2014 年 1 月 7 日 (火) 5 時 27 分 8 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:09:16 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 16 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:18:24 UTC 2014 年 2 月 26 日 (水) 20 時 18 分 24 秒 (日本時間)
4511e61500 / 3875Dmitry DomanovApril 4, 2014 13:37:06 UTC 2014 年 4 月 4 日 (金) 22 時 37 分 6 秒 (日本時間)
5043e647 / 7143CypJanuary 28, 2014 15:28:48 UTC 2014 年 1 月 29 日 (水) 0 時 28 分 48 秒 (日本時間)

79×10241-439

c231

composite cofactor 合成数の残り
277529516296800825159818384357977984718681016070085281784265898339163324421842813693111397773469662708835422968931685864993642317405263035149520422918768283759372448830699927239702492174089932328291016708187289946579255605392494527<231>

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 05:06:44 UTC 2014 年 1 月 5 日 (日) 14 時 6 分 44 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:17 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 17 秒 (日本時間)
4511e61500 / 3682Dmitry DomanovApril 4, 2014 13:37:20 UTC 2014 年 4 月 4 日 (金) 22 時 37 分 20 秒 (日本時間)
5043e6189 / 7194CypFebruary 14, 2014 02:46:06 UTC 2014 年 2 月 14 日 (金) 11 時 46 分 6 秒 (日本時間)

79×10243-439

c235

name 名前Dmitry Domanov
date 日付April 8, 2014 05:49:37 UTC 2014 年 4 月 8 日 (火) 14 時 49 分 37 秒 (日本時間)
composite number 合成数
3176699427429431299134944707434764699210813433830764296516148613272489650514221832236606948950483508870853472236997644377127577879456599935418207303812644104211499418146343513591125627553046252208168356379490890736964823985302009451313<235>
prime factors 素因数
155233584283360548206276687673282782867<39>
20463995868514780998302629754002018921903231283447575740616508656529938387546950540111272253871804045971576014584897558132723865271429024867910780765055649925029834833624714867443771710428989658539<197>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4146832158
Step 1 took 128229ms
Step 2 took 39966ms
********** Factor found in step 2: 155233584283360548206276687673282782867
Found probable prime factor of 39 digits: 155233584283360548206276687673282782867

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 6, 2014 09:34:49 UTC 2014 年 1 月 6 日 (月) 18 時 34 分 49 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:17 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 17 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:18:37 UTC 2014 年 2 月 26 日 (水) 20 時 18 分 37 秒 (日本時間)
4511e61500 / 4013Dmitry DomanovApril 4, 2014 13:37:35 UTC 2014 年 4 月 4 日 (金) 22 時 37 分 35 秒 (日本時間)

79×10244-439

c203

name 名前Serge Batalov
date 日付November 26, 2013 23:07:15 UTC 2013 年 11 月 27 日 (水) 8 時 7 分 15 秒 (日本時間)
composite number 合成数
39585749646549298902489957432987382641323011331297738672727322806761480674454751845761330735168825381416236042925672612152713373634395990180652081771554824985465776873111698336158047956602359215310654373<203>
prime factors 素因数
27352886994152575535826861564601<32>
composite cofactor 合成数の残り
1447223821566324274357256068127624136654190130429915662795741346672114596060063365605887468084357538042457053710086758687271997484500649720716105270802926681567539399338573<172>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1536641441
Step 1 took 6001ms
Step 2 took 3188ms
********** Factor found in step 2: 27352886994152575535826861564601
Found probable prime factor of 32 digits: 27352886994152575535826861564601
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 4, 2014 20:16:15 UTC 2014 年 1 月 5 日 (日) 5 時 16 分 15 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:18 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 18 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:18:45 UTC 2014 年 2 月 26 日 (水) 20 時 18 分 45 秒 (日本時間)
4511e61500 / 3311Dmitry DomanovApril 4, 2014 13:37:52 UTC 2014 年 4 月 4 日 (金) 22 時 37 分 52 秒 (日本時間)
5043e6200 / 7137Dmitry DomanovSeptember 9, 2014 06:15:24 UTC 2014 年 9 月 9 日 (火) 15 時 15 分 24 秒 (日本時間)

79×10245-439

c229

composite cofactor 合成数の残り
1067853593662151786040903954487171767620472280219350036843912037204646875541258202609471004163764504191123958195071436045482300937774089831739358638922798199615573014381943138350433169936364685055694513437690272191319372014605397<229>

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 3, 2014 05:57:11 UTC 2014 年 1 月 3 日 (金) 14 時 57 分 11 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:19 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 19 秒 (日本時間)
4511e61500 / 3682Dmitry DomanovApril 4, 2014 13:38:08 UTC 2014 年 4 月 4 日 (金) 22 時 38 分 8 秒 (日本時間)
5043e6189 / 7194CypFebruary 7, 2014 07:06:17 UTC 2014 年 2 月 7 日 (金) 16 時 6 分 17 秒 (日本時間)

79×10247-439

c198

name 名前Dmitry Domanov
date 日付April 7, 2014 05:15:07 UTC 2014 年 4 月 7 日 (月) 14 時 15 分 7 秒 (日本時間)
composite number 合成数
495065404594217370175074324898931571868841683412139861315381753440662302503541499024941674428626979974029967192085614456363453264230873749005715958280536064665281911261655080987850079219533005944891<198>
prime factors 素因数
122814004253942537671888511586000722498347<42>
composite cofactor 合成数の残り
4031017534210272536492166270249401083586864326245574668238666711945825374231429226383817170198651170343040867808698555313327452555339001566024814311070197553<157>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=162470786
Step 1 took 93534ms
Step 2 took 27832ms
********** Factor found in step 2: 122814004253942537671888511586000722498347
Found probable prime factor of 42 digits: 122814004253942537671888511586000722498347

c157

name 名前NFS@Home
date 日付April 30, 2022 13:33:15 UTC 2022 年 4 月 30 日 (土) 22 時 33 分 15 秒 (日本時間)
composite number 合成数
4031017534210272536492166270249401083586864326245574668238666711945825374231429226383817170198651170343040867808698555313327452555339001566024814311070197553<157>
prime factors 素因数
11383629828344493591829284188541837778191343135773586222269511<62>
354106519185409786658412336474725139091304139156180364184033684124676693226101929211584462490823<96>
factorization results 素因数分解の結果
p62 factor: 11383629828344493591829284188541837778191343135773586222269511
p96 factor: 354106519185409786658412336474725139091304139156180364184033684124676693226101929211584462490823

Complete log at: https://pastebin.com/Y8KQ0mRU
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)
403e62090290CypJanuary 3, 2014 08:41:37 UTC 2014 年 1 月 3 日 (金) 17 時 41 分 37 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:20 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 20 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:19:01 UTC 2014 年 2 月 26 日 (水) 20 時 19 分 1 秒 (日本時間)
4511e633121500Dmitry DomanovApril 4, 2014 13:38:23 UTC 2014 年 4 月 4 日 (金) 22 時 38 分 23 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:02 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 2 秒 (日本時間)
912Ignacio SantosDecember 28, 2015 17:57:11 UTC 2015 年 12 月 29 日 (火) 2 時 57 分 11 秒 (日本時間)
5043e6200Dmitry DomanovSeptember 9, 2014 06:15:41 UTC 2014 年 9 月 9 日 (火) 15 時 15 分 41 秒 (日本時間)
5511e76000 / 17474yoyo@HomeApril 22, 2022 13:52:40 UTC 2022 年 4 月 22 日 (金) 22 時 52 分 40 秒 (日本時間)

79×10248-439

c232

composite cofactor 合成数の残り
2347305348820005973822693062299571790219558731135633712841919544690365712075451489534189946477354879846469094984850141999817345463499550446007353967410126347394047869796735157000540469061498990106768013464392012314043625682204951583<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)
403e62090290CypJanuary 2, 2014 13:54:31 UTC 2014 年 1 月 2 日 (木) 22 時 54 分 31 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:21 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 21 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:19:09 UTC 2014 年 2 月 26 日 (水) 20 時 19 分 9 秒 (日本時間)
4511e61500 / 4013Dmitry DomanovApril 4, 2014 13:38:34 UTC 2014 年 4 月 4 日 (金) 22 時 38 分 34 秒 (日本時間)

79×10249-439

c221

composite cofactor 合成数の残り
43185478275422121452566413868884779348250669965898903564480744176823152477229211944208012787991909096524685472053099388525968154407387237145623936780880091855134493120416958807567124836495721615326048518321020974140033127<221>

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 20:27:09 UTC 2014 年 1 月 7 日 (火) 5 時 27 分 9 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:09:21 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 21 秒 (日本時間)
1500Dmitry DomanovFebruary 26, 2014 11:19:16 UTC 2014 年 2 月 26 日 (水) 20 時 19 分 16 秒 (日本時間)
4511e61500 / 4040Dmitry DomanovApril 4, 2014 13:39:01 UTC 2014 年 4 月 4 日 (金) 22 時 39 分 1 秒 (日本時間)

79×10251-439

c154

name 名前Dmitry Domanov
date 日付January 12, 2021 22:52:13 UTC 2021 年 1 月 13 日 (水) 7 時 52 分 13 秒 (日本時間)
composite number 合成数
1910875536064016726001087727505880376912750794876638954255602794237018824386946592448956794064695488134984966239794403805344409173197564726585078271953799<154>
prime factors 素因数
771512262338106348375575485638823771<36>
2476792177318106665740682451596801567375122530032585904144060490939923133624304969786305288617663330281539318115481669<118>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3344803574
Step 1 took 7280ms
Step 2 took 3441ms
********** Factor found in step 2: 771512262338106348375575485638823771
Found prime factor of 36 digits: 771512262338106348375575485638823771
Prime cofactor 2476792177318106665740682451596801567375122530032585904144060490939923133624304969786305288617663330281539318115481669 has 118 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200 / 2350Dmitry DomanovJanuary 12, 2021 18:58:03 UTC 2021 年 1 月 13 日 (水) 3 時 58 分 3 秒 (日本時間)

79×10253-439

c205

composite cofactor 合成数の残り
1537458823489104099374913893610495284815414000432274919501687632414219078603853801322303922182827774358463789625376333705543710802824698093126521511283524195226037237699830974811757306479555225985608300113<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200 / 2350Dmitry DomanovJanuary 16, 2021 10:03:33 UTC 2021 年 1 月 16 日 (土) 19 時 3 分 33 秒 (日本時間)

79×10254-439

c220

composite cofactor 合成数の残り
5518029608892690821204016989168466079194917948805900486281314674809955753305883072164316273285695844975368664740296794620751486137127649120503710455423676180399200577167372857461027559614647097413738414261445858197449263<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200 / 2350Dmitry DomanovJanuary 16, 2021 10:03:47 UTC 2021 年 1 月 16 日 (土) 19 時 3 分 47 秒 (日本時間)

79×10256-439

c257

composite cofactor 合成数の残り
12539682539682539682539682539682539682539682539682539682539682539682539682539682539682539682539682539682539682539682539682539682539682539682539682539682539682539682539682539682539682539682539682539682539682539682539682539682539682539682539682539682539682539<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200 / 2350Dmitry DomanovJanuary 17, 2021 23:59:13 UTC 2021 年 1 月 18 日 (月) 8 時 59 分 13 秒 (日本時間)

79×10258-439

c221

composite cofactor 合成数の残り
12860995641415496204270681345154544582330436255125979391725113246977704474568388384868989488600172370602542521847724246178776289759137118983318615058748313284224424839604139061123242499304431627580214991896905666833716603<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200 / 2350Dmitry DomanovJanuary 16, 2021 10:04:00 UTC 2021 年 1 月 16 日 (土) 19 時 4 分 0 秒 (日本時間)

79×10262-439

c244

composite cofactor 合成数の残り
8089402761489385893750988357633434962444696763267110148336518616138700458149133928081306222203285685534631473434157111378893127083344942027242034060158646970310154112563887868102706414562474912694677651150297917071748784935115787746715758477889<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200 / 2350Dmitry DomanovJanuary 18, 2021 16:44:46 UTC 2021 年 1 月 19 日 (火) 1 時 44 分 46 秒 (日本時間)

79×10263-439

c197

composite cofactor 合成数の残り
57232743266892342752899166637141084555220182691072674198630898810399611798607159537407083044511674811789135464456763328197294666711905299894285530021022540689297976098216198647762491394655997898597<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200 / 2350Dmitry DomanovJanuary 16, 2021 10:04:17 UTC 2021 年 1 月 16 日 (土) 19 時 4 分 17 秒 (日本時間)

79×10264-439

c257

composite cofactor 合成数の残り
14763630665303055129459888025332922081375148667962066118808927007641384441211063561250430606750944426229955272177420144186561959215508784668880488782966529219489061365060200712078425089332491250973887802473487730414785416401980698632147581852402932087175411<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200 / 2350Dmitry DomanovJanuary 17, 2021 23:59:36 UTC 2021 年 1 月 18 日 (月) 8 時 59 分 36 秒 (日本時間)

79×10265-439

c213

composite cofactor 合成数の残り
251027616282608649198574713992936678093296801025109418545550659406321585137371336078312557556676669993213474640926299758323451105667264581304011148802755620151023548818818325211376080944277121860044422817868574969<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200 / 2350Dmitry DomanovJanuary 16, 2021 10:04:32 UTC 2021 年 1 月 16 日 (土) 19 時 4 分 32 秒 (日本時間)

79×10266-439

c240

composite cofactor 合成数の残り
220302337831020863833350851857229138071831253586488555163598224967240393833919376916678207362268872672489850818695084270883236948962612622967223190165090233927082367231600362360861500688290090574662733899692777212350145609278106306085339833<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200 / 2350Dmitry DomanovJanuary 16, 2021 10:04:47 UTC 2021 年 1 月 16 日 (土) 19 時 4 分 47 秒 (日本時間)

79×10267-439

c141

name 名前ivelive
date 日付January 16, 2021 19:02:17 UTC 2021 年 1 月 17 日 (日) 4 時 2 分 17 秒 (日本時間)
composite number 合成数
977735695944631632320343471354733947052152842985357012521920199016527572764419456916922354224376350039230598271391291625869114972333466485897<141>
prime factors 素因数
93845418556466160369632744258747820659<38>
composite cofactor 合成数の残り
10418576750833442196056220637776989283539825431616303780774659766465363861702945171803448638009711716883<104>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2371949831
Step 1 took 10907ms
Step 2 took 5593ms
********** Factor found in step 2: 93845418556466160369632744258747820659
Found prime factor of 38 digits: 93845418556466160369632744258747820659
Composite cofactor 10418576750833442196056220637776989283539825431616303780774659766465363861702945171803448638009711716883 has 104 digits

c104

name 名前ivelive
date 日付January 17, 2021 14:58:30 UTC 2021 年 1 月 17 日 (日) 23 時 58 分 30 秒 (日本時間)
composite number 合成数
10418576750833442196056220637776989283539825431616303780774659766465363861702945171803448638009711716883<104>
prime factors 素因数
1141397029547178558122822070659415945704136915577117<52>
9127916475274829211466072016428259788440367176181999<52>
factorization results 素因数分解の結果
01/17/21 05:09:34 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing nfs on c104: 10418576750833442196056220637776989283539825431616303780774659766465363861702945171803448638009711716883
01/17/21 05:09:34 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing poly selection with 8 threads
01/17/21 05:09:34 v1.34.5 @ DESKTOP-RJPVCOL, nfs: setting deadline of 204 seconds
01/17/21 05:18:10 v1.34.5 @ DESKTOP-RJPVCOL, nfs: completed 8 ranges of size 250 in 516.2791 seconds
01/17/21 05:18:10 v1.34.5 @ DESKTOP-RJPVCOL, nfs: best poly = # norm 3.990204e-014 alpha -5.801241 e 7.337e-009 rroots 2
01/17/21 05:18:10 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
01/17/21 05:19:40 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
01/17/21 05:21:13 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
01/17/21 05:22:58 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
01/17/21 05:24:32 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
01/17/21 05:26:17 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
01/17/21 05:27:56 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
01/17/21 05:29:34 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
01/17/21 05:31:14 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
01/17/21 05:32:48 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
01/17/21 05:34:25 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
01/17/21 05:36:03 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
01/17/21 05:37:40 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
01/17/21 05:39:22 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
01/17/21 05:40:56 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
01/17/21 05:42:33 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
01/17/21 05:44:15 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
01/17/21 05:46:02 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
01/17/21 05:47:41 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
01/17/21 05:49:36 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
01/17/21 05:51:13 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
01/17/21 05:52:53 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
01/17/21 05:54:35 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering
01/17/21 05:55:08 v1.34.5 @ DESKTOP-RJPVCOL, nfs: raising min_rels by 5.00 percent to 4905090
01/17/21 05:55:08 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
01/17/21 05:56:48 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
01/17/21 05:58:39 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering
01/17/21 05:59:29 v1.34.5 @ DESKTOP-RJPVCOL, nfs: raising min_rels by 5.00 percent to 5354480
01/17/21 05:59:29 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
01/17/21 06:01:09 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
01/17/21 06:02:59 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering
01/17/21 06:03:47 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve linear algebra
01/17/21 06:05:21 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve sqrt
01/17/21 06:05:41 v1.34.5 @ DESKTOP-RJPVCOL, prp52 = 1141397029547178558122822070659415945704136915577117
01/17/21 06:05:41 v1.34.5 @ DESKTOP-RJPVCOL, prp52 = 9127916475274829211466072016428259788440367176181999
01/17/21 06:05:41 v1.34.5 @ DESKTOP-RJPVCOL, NFS elapsed time = 3367.5957 seconds.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200 / 2350Dmitry DomanovJanuary 12, 2021 08:34:05 UTC 2021 年 1 月 12 日 (火) 17 時 34 分 5 秒 (日本時間)

79×10268-439

c251

composite cofactor 合成数の残り
27930208190238442923720239498995244206706443155255106664239995280370445163343259070003037098069968804329506227526242262368069627479743692380365240602387095505414125330946153952570333921099435404824819929552886456779966440767584608193224839298991828661<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200 / 2350Dmitry DomanovJanuary 17, 2021 23:59:57 UTC 2021 年 1 月 18 日 (月) 8 時 59 分 57 秒 (日本時間)

79×10269-439

c269

name 名前Dmitry Domanov
date 日付January 18, 2021 22:39:05 UTC 2021 年 1 月 19 日 (火) 7 時 39 分 5 秒 (日本時間)
composite number 合成数
22507122507122507122507122507122507122507122507122507122507122507122507122507122507122507122507122507122507122507122507122507122507122507122507122507122507122507122507122507122507122507122507122507122507122507122507122507122507122507122507122507122507122507122507122507<269>
prime factors 素因数
44888742048949616148843087599717693<35>
composite cofactor 合成数の残り
501397933641786413460162894626640419559906079823495709973765106098158620988541356700259347771986870283180521448894653354320808391501259416644155265733851303142908055068400411959229688549107137985894407861050462403842479947932202991399<234>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2017237253
Step 1 took 20712ms
Step 2 took 8337ms
********** Factor found in step 2: 44888742048949616148843087599717693
Found prime factor of 35 digits: 44888742048949616148843087599717693
Composite cofactor 501397933641786413460162894626640419559906079823495709973765106098158620988541356700259347771986870283180521448894653354320808391501259416644155265733851303142908055068400411959229688549107137985894407861050462403842479947932202991399 has 234 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200 / 2350Dmitry DomanovJanuary 18, 2021 20:36:13 UTC 2021 年 1 月 19 日 (火) 5 時 36 分 13 秒 (日本時間)

79×10270-439

c219

composite cofactor 合成数の残り
536324664513364500673256289586488927994389245679937250694286874271652679262211972083137658662866693004604375852980969938064108637622396976433419778793433054416616419060411617656653765561305015498705737334001623861617699<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200 / 2350Dmitry DomanovJanuary 16, 2021 10:05:07 UTC 2021 年 1 月 16 日 (土) 19 時 5 分 7 秒 (日本時間)

79×10271-439

c267

composite cofactor 合成数の残り
410197616596076329987886189373181695216940019242941355760238973862104023000143828784553307776464106929691609277943154918139613614614666070582028878950683342497875020574785515974081741481000321408005915153478813293102812657556125678318875165442045048006102078974983657<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200 / 2350Dmitry DomanovJanuary 18, 2021 21:52:25 UTC 2021 年 1 月 19 日 (火) 6 時 52 分 25 秒 (日本時間)

79×10272-439

c247

composite cofactor 合成数の残り
3461892043524899045460602360454381411162681677759147415066060446132329623138677896366244936967833764918027874486091830769822690876723334296940481288196364136554266531376293099503010686545529255533250219280998897406265540512710390791753482094296661<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200 / 2350Dmitry DomanovJanuary 18, 2021 16:45:49 UTC 2021 年 1 月 19 日 (火) 1 時 45 分 49 秒 (日本時間)

79×10273-439

c253

composite cofactor 合成数の残り
2434240505758772207458811341373871101018727290194684001619623488763231235008203221569687931235597142343683387636440111614643385301181567022953347992300811896046429341226220359566918242800974110788382161534987604949823932701328915172168073710850076359091<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200 / 2350Dmitry DomanovJanuary 18, 2021 00:00:16 UTC 2021 年 1 月 18 日 (月) 9 時 0 分 16 秒 (日本時間)

79×10274-439

c214

composite cofactor 合成数の残り
2885410669080333748245556230091006472561805120013511795104406733490041917517022251995529118579403161045870849346449757096248405175021847041507780569747367374986908279646012921312475341262149992563504891101402679259<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200 / 2350Dmitry DomanovJanuary 16, 2021 10:05:26 UTC 2021 年 1 月 16 日 (土) 19 時 5 分 26 秒 (日本時間)

79×10276-439

c241

composite cofactor 合成数の残り
4250483797324665335436848720127376881950633677296286472592013848672246383602225418824415381098722736854786530693722530087201731446168845191030199728441881432338975242054253383735900157009184725277567587343323160087288568441448646763972411749<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200 / 2350Dmitry DomanovJanuary 18, 2021 22:19:46 UTC 2021 年 1 月 19 日 (火) 7 時 19 分 46 秒 (日本時間)

79×10278-439

c261

composite cofactor 合成数の残り
693707206481261576265625274790968558307776001837619754042604447426090279836209321769633359626415359432513788900933988703259604247022548652747619315413555051868322531735847022444809216888173067605829709109781910678599690512692693168539497183714003171674294272983<261>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200 / 2350Dmitry DomanovJanuary 18, 2021 21:53:06 UTC 2021 年 1 月 19 日 (火) 6 時 53 分 6 秒 (日本時間)

79×10279-439

c220

composite cofactor 合成数の残り
3920280532209972641064111210082570813403561444814399560017901231590876018214196380278408602813034367509128201329329183613593233454092597066258407957773371763257420808900755882687950891064500324560506982596677825263682213<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200 / 2350Dmitry DomanovJanuary 16, 2021 10:05:42 UTC 2021 年 1 月 16 日 (土) 19 時 5 分 42 秒 (日本時間)

79×10280-439

c277

composite cofactor 合成数の残り
1262935093129473228174003680096942258287811717160090611596301998155155572820997335047088295149529916374513010629437258503629739403734770841226677665392541009420856333939222447632156565583899655810220821803055663464566677377635178017895310674039649767316198981019204606675651091<277>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 23, 2021 17:17:03 UTC 2021 年 4 月 24 日 (土) 2 時 17 分 3 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 17, 2022 02:34:57 UTC 2022 年 2 月 17 日 (木) 11 時 34 分 57 秒 (日本時間)

79×10281-439

c214

composite cofactor 合成数の残り
8017664396244623394315479076970671591318946723977676943055003328856064692690571876414938442803840070902750220463258286589321378047255485948590794569815644185255274164292930046974868039285126670263467432608350788179<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200 / 2350Dmitry DomanovJanuary 16, 2021 10:05:57 UTC 2021 年 1 月 16 日 (土) 19 時 5 分 57 秒 (日本時間)

79×10283-439

c260

name 名前Marlon Trifunovic
date 日付April 15, 2022 00:56:38 UTC 2022 年 4 月 15 日 (金) 9 時 56 分 38 秒 (日本時間)
composite number 合成数
73764258396866709245798572353440671271494345811694806821974754892347698372154661329697012146793084367149864901341911541088594938574746385492741656071121409872900923905221941158855454217860922932332353642460302036663786580191976560933002345420222404915728284387<260>
prime factors 素因数
6519011833698234963873212380545761429<37>
composite cofactor 合成数の残り
11315251494952456704185296938308737073240727977113913519172175593962900425785128761145809866579704061394018613868042431657410875864027045011539249461183629829091196394173180514507809057751410236937921217836318030420186666903<224>
factorization results 素因数分解の結果
Run 97 out of 587:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3033522415
Step 1 took 26407ms
Step 2 took 10181ms
********** Factor found in step 2: 6519011833698234963873212380545761429
Found prime factor of 37 digits: 6519011833698234963873212380545761429
Composite cofactor 11315251494952456704185296938308737073240727977113913519172175593962900425785128761145809866579704061394018613868042431657410875864027045011539249461183629829091196394173180514507809057751410236937921217836318030420186666903 has 224 digits
software ソフトウェア
GMP-ECM 7.0.5-dev
execution environment 実行環境
Intel Xeon CPU E5-2695 v4 @ 2.10GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 23, 2021 17:17:45 UTC 2021 年 4 月 24 日 (土) 2 時 17 分 45 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 5, 2022 14:44:32 UTC 2022 年 3 月 5 日 (土) 23 時 44 分 32 秒 (日本時間)

79×10284-439

c252

composite cofactor 合成数の残り
401946542928613405620154372410122356867650153388070755736823147078200429829647000868660901540841187389521901246421740910761279972868912473486166109890302363232704002357908684544516107456905140738819070554237760189585947442074373148805701617865088437377<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 23, 2021 17:17:57 UTC 2021 年 4 月 24 日 (土) 2 時 17 分 57 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 5, 2022 08:28:19 UTC 2022 年 3 月 5 日 (土) 17 時 28 分 19 秒 (日本時間)

79×10285-439

c275

composite cofactor 合成数の残り
22679052889326195707504537488735196839700138982888328631846973241799225756146466809757662663984058662044074751484051083145979440154749760449654836357413592676358194143691225259226371668599338832489344581818128345850188096248396684924131600260552527527958397656574929266341639<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 23, 2021 17:18:19 UTC 2021 年 4 月 24 日 (土) 2 時 18 分 19 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 8, 2022 17:55:00 UTC 2022 年 3 月 9 日 (水) 2 時 55 分 0 秒 (日本時間)

79×10286-439

c273

composite cofactor 合成数の残り
612824700136657940556163079335700470763036325068428182777371002746147439133387804121436037697028271378379728727981056183061389515237835678822109799070000984349318481297840137880273881975424656778852600547896227511834417067386546099245225323422857634160173967323227823283957<273>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 23, 2021 17:18:30 UTC 2021 年 4 月 24 日 (土) 2 時 18 分 30 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 1, 2022 21:27:11 UTC 2022 年 3 月 2 日 (水) 6 時 27 分 11 秒 (日本時間)

79×10287-439

c260

name 名前Marlon Trifunovic
date 日付April 15, 2022 00:56:43 UTC 2022 年 4 月 15 日 (金) 9 時 56 分 43 秒 (日本時間)
composite number 合成数
65435758036841923146276681681120017211720172671369068640498771247794463956301756219113761968619273655556931841889897800612975392412758672962047584833789807972686318049928485015379767865958079103824506871721354476979898748539520360203543453611100649904751908893<260>
prime factors 素因数
6768596130139115432945549835552316546781<40>
9667552440523145440351380128342307826363159693076875723480492538987351531461369787764747892274052391712654829797256963781606891276391639732866391277499190334175778644080452770494537863235299770046023700373448561486719553<220>
factorization results 素因数分解の結果
Run 309 out of 587:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2250851828
Step 1 took 26511ms
********** Factor found in step 1: 6768596130139115432945549835552316546781
Found prime factor of 40 digits: 6768596130139115432945549835552316546781
Prime cofactor 9667552440523145440351380128342307826363159693076875723480492538987351531461369787764747892274052391712654829797256963781606891276391639732866391277499190334175778644080452770494537863235299770046023700373448561486719553 has 220 digits
software ソフトウェア
GMP-ECM 7.0.5-dev
execution environment 実行環境
Intel Xeon CPU E5-2695 v4 @ 2.10GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 23, 2021 17:18:42 UTC 2021 年 4 月 24 日 (土) 2 時 18 分 42 秒 (日本時間)

79×10288-439

c255

composite cofactor 合成数の残り
546219406834722278803726003736512184438597353864313731596109257656768008594724898416838726132758133022343896765090429072123874480609052337315288395535560897886625258225289315637938298856155634561287704390118706541413214037548907161142643638380442843264099<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 23, 2021 17:18:56 UTC 2021 年 4 月 24 日 (土) 2 時 18 分 56 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 4, 2022 19:15:29 UTC 2022 年 3 月 5 日 (土) 4 時 15 分 29 秒 (日本時間)

79×10289-439

c276

composite cofactor 合成数の残り
324110130650878006898890106636054417816149646638110955496270704438429796135657013699543071750131999201671363370530321755984877967150835303790912053814408642871353813335790062121074301243672569999164833192446541983060315667121316411257841320990562471150777216125965998818599379<276>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 23, 2021 17:19:11 UTC 2021 年 4 月 24 日 (土) 2 時 19 分 11 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 8, 2022 21:10:08 UTC 2022 年 3 月 9 日 (水) 6 時 10 分 8 秒 (日本時間)

79×10290-439

c213

composite cofactor 合成数の残り
552207262611509116590538742459562290204518178003685993820814458438158718288009935340488233998431854907249475483316001045267837621845355252471895834167736969873917989817462732448957899759552584019639491267138804537<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200 / 2350Dmitry DomanovJanuary 16, 2021 10:41:29 UTC 2021 年 1 月 16 日 (土) 19 時 41 分 29 秒 (日本時間)

79×10291-439

c255

composite cofactor 合成数の残り
505967640513333916716941225371010200290802048157934117098129106286087405276680166896428972372860921745545078690029180933082983362023897340342776576427134274748271302754818305902310041647512685613102785602515239658264971904798911860119294401760893066817907<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 23, 2021 17:19:42 UTC 2021 年 4 月 24 日 (土) 2 時 19 分 42 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 4, 2022 17:39:41 UTC 2022 年 3 月 5 日 (土) 2 時 39 分 41 秒 (日本時間)

79×10292-439

c268

composite cofactor 合成数の残り
9471170635221533297581036950196405899543225944132679422364808511044390543878014273556068504283311415647957889315498697678948223517437852570001672271585949439355020091769772091395875925741998359579292479943632929620356434064447918522068232983292215248283040775632634713<268>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 23, 2021 17:19:53 UTC 2021 年 4 月 24 日 (土) 2 時 19 分 53 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 6, 2022 13:32:11 UTC 2022 年 3 月 6 日 (日) 22 時 32 分 11 秒 (日本時間)

79×10293-439

c263

composite cofactor 合成数の残り
10772973340342847316448220285325658426474227818912724448439504606265591548563095121805031007337342367103932487306410157034554241710411430253334563949330634867135396823466980645579295754882582640268487185631267361729912026446122791311415287165108301140453579460933<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 23, 2021 17:20:09 UTC 2021 年 4 月 24 日 (土) 2 時 20 分 9 秒 (日本時間)
403e62023Marlon TrifunovicFebruary 15, 2022 23:59:03 UTC 2022 年 2 月 16 日 (水) 8 時 59 分 3 秒 (日本時間)

79×10295-439

c226

composite cofactor 合成数の残り
2004254529818282563117113119484462821823522153521421830003606824230915145226471385334331713161862179955556022824724822197398067774864793886259985293871257437661518258040289713636338705346866682994784854569247195818901383551601<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200 / 2350Dmitry DomanovJanuary 16, 2021 10:41:00 UTC 2021 年 1 月 16 日 (土) 19 時 41 分 0 秒 (日本時間)

79×10296-439

c251

composite cofactor 合成数の残り
97237760828720591391595363982767759749224619306545316301956766419735476624589824757007139332253147184921219077226982043553067785548980989465251185577449924901467064635516782990215229446672792569004044791490937534447672693665682589969615693669329550637<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200 / 2350Dmitry DomanovJanuary 19, 2021 05:45:38 UTC 2021 年 1 月 19 日 (火) 14 時 45 分 38 秒 (日本時間)

79×10297-439

c261

name 名前Dmitry Domanov
date 日付January 19, 2021 08:49:35 UTC 2021 年 1 月 19 日 (火) 17 時 49 分 35 秒 (日本時間)
composite number 合成数
369042825263977756088287040351635494811252494901691028210651897962574721335052889124671104389635792847367597644721264034280670363708768203403857894007782902201443397514454410894562933379434622067444201008749771970518391634938326201680140457004282477080749343731<261>
prime factors 素因数
2584957793542246996925111144966358491453053<43>
142765512917047301841397987043200088216675243710545937660250162497234532503246606054347035290632065420990269049412352685864863784786831439669878330668952356873648910563416704660444234646557616963442980134560222277902127<219>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:863603448
Step 1 took 16511ms
Step 2 took 7027ms
********** Factor found in step 2: 2584957793542246996925111144966358491453053
Found prime factor of 43 digits: 2584957793542246996925111144966358491453053
Prime cofactor 142765512917047301841397987043200088216675243710545937660250162497234532503246606054347035290632065420990269049412352685864863784786831439669878330668952356873648910563416704660444234646557616963442980134560222277902127 has 219 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200 / 2350Dmitry DomanovJanuary 19, 2021 05:45:10 UTC 2021 年 1 月 19 日 (火) 14 時 45 分 10 秒 (日本時間)

79×10298-439

c284

composite cofactor 合成数の残り
19959403535554571041076801625393736990966148317998107417872815436933369225947280479894179606440250758078065628956590209018809732271113919540660192357394912324842941303526782375047592413250469430466017249239880542238960847365044598065716972773688447651347093790627590792192208145471109<284>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200 / 2350Dmitry DomanovJanuary 19, 2021 05:44:24 UTC 2021 年 1 月 19 日 (火) 14 時 44 分 24 秒 (日本時間)

79×10299-439

c276

composite cofactor 合成数の残り
904611158707969450713684071986036824778842445722756892649446234723212347781366078079098009604132222565542499814726484124823792993553515427985175105647330711137593812623800614000563561140348903731058890128176435371237955789847194305473150716753334392598831973479062761350696579<276>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200 / 2350Dmitry DomanovJanuary 19, 2021 05:44:39 UTC 2021 年 1 月 19 日 (火) 14 時 44 分 39 秒 (日本時間)

79×10300-439

c256

composite cofactor 合成数の残り
1473608394674754132080567207049176462143919420268359987046623264553815364947961046629888727708488123282753334547200925919891930971653153223300611515767265961378975506122601848994125599162170221109155382600065324130319626484221012741252720395645266745282179<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200Dmitry DomanovJanuary 16, 2021 21:37:36 UTC 2021 年 1 月 17 日 (日) 6 時 37 分 36 秒 (日本時間)
4511e62000Dmitry DomanovMarch 14, 2021 11:20:25 UTC 2021 年 3 月 14 日 (日) 20 時 20 分 25 秒 (日本時間)
5043e6640 / 7059Dmitry DomanovJune 1, 2021 12:06:11 UTC 2021 年 6 月 1 日 (火) 21 時 6 分 11 秒 (日本時間)