Table of contents 目次

4×10102+173

c97

name 名前Hugo Platzer
date 日付February 27, 2008 17:02:14 UTC 2008 年 2 月 28 日 (木) 2 時 2 分 14 秒 (日本時間)
composite number 合成数
2093213957341346156362036006419887207165908661562364431689794064377841865011771711992598395446841<97>
prime factors 素因数
908549692702934028385232905262450753<36>
2303906956496829188740684010099011404683762570088688116424697<61>
factorization results 素因数分解の結果
Number: pal/pal
N=2093213957341346156362036006419887207165908661562364431689794064377841865011771711992598395446841
  ( 97 digits)
SNFS difficulty: 102 digits.
Divisors found:
 r1=908549692702934028385232905262450753 (pp36)
 r2=2303906956496829188740684010099011404683762570088688116424697 (pp61)
Version: GGNFS-0.77.0
Total time: 1.06 hours.
Scaled time: 1.30 units (timescale=1.226).
Factorization parameters were as follows:
n: 2093213957341346156362036006419887207165908661562364431689794064377841865011771711992598395446841
m: 200000000000000000000
c5: 25
c0: 34
skew: 1.06
type: snfs

Factor base limits: 300000/350000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [175000, 255001)
Relations: rels:834056, finalFF:65949
Initial matrix: 55703 x 65949 with sparse part having weight 1722162.
Pruned matrix : 48155 x 48497 with weight 1039638.
Total sieving time: 1.01 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,102,5,0,0,0,0,0,0,0,0,300000,350000,25,25,43,43,2.1,2.1,10000
total time: 1.06 hours.
 --------- CPU info (if available) ----------

4×10103+173

c84

name 名前Hugo Platzer
date 日付February 27, 2008 17:05:20 UTC 2008 年 2 月 28 日 (木) 2 時 5 分 20 秒 (日本時間)
composite number 合成数
688328176060695733567653133817593886237944056362101592634801269296206820707236076007<84>
prime factors 素因数
5999573294919686788638217605693019<34>
114729521955095979857325671845756990670861614334053<51>
factorization results 素因数分解の結果
Mon Feb 25 16:51:57 2008  
Mon Feb 25 16:51:57 2008  
Mon Feb 25 16:51:57 2008  Msieve v. 1.33
Mon Feb 25 16:51:57 2008  random seeds: 865e6202 3cef8fa7
Mon Feb 25 16:51:57 2008  factoring 688328176060695733567653133817593886237944056362101592634801269296206820707236076007 (84 digits)
Mon Feb 25 16:51:58 2008  no P-1/P+1/ECM available, skipping
Mon Feb 25 16:51:58 2008  commencing quadratic sieve (84-digit input)
Mon Feb 25 16:51:58 2008  using multiplier of 7
Mon Feb 25 16:51:58 2008  using 64kb Pentium 4 sieve core
Mon Feb 25 16:51:58 2008  sieve interval: 6 blocks of size 65536
Mon Feb 25 16:51:58 2008  processing polynomials in batches of 17
Mon Feb 25 16:51:58 2008  using a sieve bound of 1408987 (53824 primes)
Mon Feb 25 16:51:58 2008  using large prime bound of 119763895 (26 bits)
Mon Feb 25 16:51:58 2008  using double large prime bound of 347525361371830 (41-49 bits)
Mon Feb 25 16:51:58 2008  using trial factoring cutoff of 49 bits
Mon Feb 25 16:51:58 2008  polynomial 'A' values have 11 factors
Mon Feb 25 17:34:06 2008  54044 relations (16264 full + 37780 combined from 570002 partial), need 53920
Mon Feb 25 17:34:07 2008  begin with 586266 relations
Mon Feb 25 17:34:07 2008  reduce to 124740 relations in 10 passes
Mon Feb 25 17:34:07 2008  attempting to read 124740 relations
Mon Feb 25 17:34:09 2008  recovered 124740 relations
Mon Feb 25 17:34:09 2008  recovered 97661 polynomials
Mon Feb 25 17:34:10 2008  attempting to build 54044 cycles
Mon Feb 25 17:34:10 2008  found 54044 cycles in 5 passes
Mon Feb 25 17:34:10 2008  distribution of cycle lengths:
Mon Feb 25 17:34:10 2008     length 1 : 16264
Mon Feb 25 17:34:10 2008     length 2 : 11387
Mon Feb 25 17:34:10 2008     length 3 : 9603
Mon Feb 25 17:34:10 2008     length 4 : 6775
Mon Feb 25 17:34:10 2008     length 5 : 4392
Mon Feb 25 17:34:10 2008     length 6 : 2597
Mon Feb 25 17:34:10 2008     length 7 : 1454
Mon Feb 25 17:34:10 2008     length 9+: 1572
Mon Feb 25 17:34:10 2008  largest cycle: 16 relations
Mon Feb 25 17:34:10 2008  matrix is 53824 x 54044 (11.5 MB) with weight 2806436 (51.93/col)
Mon Feb 25 17:34:10 2008  sparse part has weight 2806436 (51.93/col)
Mon Feb 25 17:34:10 2008  filtering completed in 3 passes
Mon Feb 25 17:34:10 2008  matrix is 48513 x 48577 (10.4 MB) with weight 2532665 (52.14/col)
Mon Feb 25 17:34:10 2008  sparse part has weight 2532665 (52.14/col)
Mon Feb 25 17:34:11 2008  saving the first 48 matrix rows for later
Mon Feb 25 17:34:11 2008  matrix is 48465 x 48577 (6.2 MB) with weight 1903865 (39.19/col)
Mon Feb 25 17:34:11 2008  sparse part has weight 1328744 (27.35/col)
Mon Feb 25 17:34:11 2008  matrix includes 64 packed rows
Mon Feb 25 17:34:11 2008  commencing Lanczos iteration
Mon Feb 25 17:34:11 2008  memory use: 8.0 MB
Mon Feb 25 17:35:38 2008  lanczos halted after 768 iterations (dim = 48457)
Mon Feb 25 17:35:38 2008  recovered 13 nontrivial dependencies
Mon Feb 25 17:35:39 2008  prp34 factor: 5999573294919686788638217605693019
Mon Feb 25 17:35:39 2008  prp51 factor: 114729521955095979857325671845756990670861614334053
Mon Feb 25 17:35:39 2008  elapsed time 00:43:42

4×10105+173

c86

name 名前Hugo Platzer
date 日付February 27, 2008 17:04:29 UTC 2008 年 2 月 28 日 (木) 2 時 4 分 29 秒 (日本時間)
composite number 合成数
36461816524324356163353669314329958450145184317692851469585242129594363032425616440519<86>
prime factors 素因数
1130021764079074147902253763132106677<37>
32266472809078491624666219453514850051247682267147<50>
factorization results 素因数分解の結果
Mon Feb 25 19:02:32 2008  
Mon Feb 25 19:02:32 2008  
Mon Feb 25 19:02:32 2008  Msieve v. 1.33
Mon Feb 25 19:02:32 2008  random seeds: 489d45ae e59eb9a7
Mon Feb 25 19:02:32 2008  factoring 36461816524324356163353669314329958450145184317692851469585242129594363032425616440519 (86 digits)
Mon Feb 25 19:02:33 2008  no P-1/P+1/ECM available, skipping
Mon Feb 25 19:02:33 2008  commencing quadratic sieve (86-digit input)
Mon Feb 25 19:02:33 2008  using multiplier of 5
Mon Feb 25 19:02:33 2008  using 64kb Pentium 4 sieve core
Mon Feb 25 19:02:33 2008  sieve interval: 8 blocks of size 65536
Mon Feb 25 19:02:33 2008  processing polynomials in batches of 13
Mon Feb 25 19:02:33 2008  using a sieve bound of 1461401 (55581 primes)
Mon Feb 25 19:02:33 2008  using large prime bound of 116912080 (26 bits)
Mon Feb 25 19:02:33 2008  using double large prime bound of 332771997435520 (41-49 bits)
Mon Feb 25 19:02:33 2008  using trial factoring cutoff of 49 bits
Mon Feb 25 19:02:33 2008  polynomial 'A' values have 11 factors
Mon Feb 25 19:55:41 2008  28010 relations (11626 full + 16384 combined from 433728 partial), need 55677
Mon Feb 25 19:55:41 2008  elapsed time 00:53:09
Tue Feb 26 14:33:17 2008  
Tue Feb 26 14:33:17 2008  
Tue Feb 26 14:33:17 2008  Msieve v. 1.33
Tue Feb 26 14:33:17 2008  random seeds: 1bd18fdc 512ff2e1
Tue Feb 26 14:33:17 2008  factoring 36461816524324356163353669314329958450145184317692851469585242129594363032425616440519 (86 digits)
Tue Feb 26 14:33:18 2008  no P-1/P+1/ECM available, skipping
Tue Feb 26 14:33:18 2008  commencing quadratic sieve (86-digit input)
Tue Feb 26 14:33:19 2008  using multiplier of 5
Tue Feb 26 14:33:19 2008  using 64kb Pentium 4 sieve core
Tue Feb 26 14:33:19 2008  sieve interval: 8 blocks of size 65536
Tue Feb 26 14:33:19 2008  processing polynomials in batches of 13
Tue Feb 26 14:33:19 2008  using a sieve bound of 1461401 (55581 primes)
Tue Feb 26 14:33:19 2008  using large prime bound of 116912080 (26 bits)
Tue Feb 26 14:33:19 2008  using double large prime bound of 332771997435520 (41-49 bits)
Tue Feb 26 14:33:19 2008  using trial factoring cutoff of 49 bits
Tue Feb 26 14:33:19 2008  polynomial 'A' values have 11 factors
Tue Feb 26 14:33:19 2008  restarting with 11626 full and 433728 partial relations
Tue Feb 26 14:52:43 2008  55935 relations (15723 full + 40212 combined from 587434 partial), need 55677
Tue Feb 26 14:52:43 2008  begin with 603157 relations
Tue Feb 26 14:52:44 2008  reduce to 133993 relations in 11 passes
Tue Feb 26 14:52:44 2008  attempting to read 133993 relations
Tue Feb 26 14:52:47 2008  recovered 133993 relations
Tue Feb 26 14:52:47 2008  recovered 114567 polynomials
Tue Feb 26 14:52:47 2008  attempting to build 55935 cycles
Tue Feb 26 14:52:47 2008  found 55935 cycles in 5 passes
Tue Feb 26 14:52:47 2008  distribution of cycle lengths:
Tue Feb 26 14:52:47 2008     length 1 : 15723
Tue Feb 26 14:52:47 2008     length 2 : 10989
Tue Feb 26 14:52:47 2008     length 3 : 9938
Tue Feb 26 14:52:47 2008     length 4 : 7222
Tue Feb 26 14:52:47 2008     length 5 : 4960
Tue Feb 26 14:52:47 2008     length 6 : 3120
Tue Feb 26 14:52:47 2008     length 7 : 1800
Tue Feb 26 14:52:47 2008     length 9+: 2183
Tue Feb 26 14:52:47 2008  largest cycle: 18 relations
Tue Feb 26 14:52:47 2008  matrix is 55581 x 55935 (12.6 MB) with weight 3078328 (55.03/col)
Tue Feb 26 14:52:47 2008  sparse part has weight 3078328 (55.03/col)
Tue Feb 26 14:52:48 2008  filtering completed in 4 passes
Tue Feb 26 14:52:48 2008  matrix is 51012 x 51076 (11.6 MB) with weight 2828283 (55.37/col)
Tue Feb 26 14:52:48 2008  sparse part has weight 2828283 (55.37/col)
Tue Feb 26 14:52:48 2008  saving the first 48 matrix rows for later
Tue Feb 26 14:52:49 2008  matrix is 50964 x 51076 (6.8 MB) with weight 2143902 (41.97/col)
Tue Feb 26 14:52:49 2008  sparse part has weight 1474804 (28.87/col)
Tue Feb 26 14:52:49 2008  matrix includes 64 packed rows
Tue Feb 26 14:52:49 2008  using block size 20430 for processor cache size 2048 kB
Tue Feb 26 14:52:49 2008  commencing Lanczos iteration
Tue Feb 26 14:52:49 2008  memory use: 7.0 MB
Tue Feb 26 14:53:11 2008  lanczos halted after 807 iterations (dim = 50964)
Tue Feb 26 14:53:11 2008  recovered 19 nontrivial dependencies
Tue Feb 26 14:53:12 2008  prp37 factor: 1130021764079074147902253763132106677
Tue Feb 26 14:53:12 2008  prp50 factor: 32266472809078491624666219453514850051247682267147
Tue Feb 26 14:53:12 2008  elapsed time 00:19:55
software ソフトウェア
Msieve 1.33 SIQS

4×10115+173

c90

name 名前Hugo Platzer
date 日付February 27, 2008 17:00:46 UTC 2008 年 2 月 28 日 (木) 2 時 0 分 46 秒 (日本時間)
composite number 合成数
301160634434001859043915236810290858557068276203651269507515584105353054975494297092576799<90>
prime factors 素因数
319366236020566864959345447725369918009<39>
942994595128733071671702794426078062922265699564311<51>
factorization results 素因数分解の結果
Number: pal/pal
N=301160634434001859043915236810290858557068276203651269507515584105353054975494297092576799
  ( 90 digits)
SNFS difficulty: 115 digits.
Divisors found:
 r1=319366236020566864959345447725369918009 (pp39)
 r2=942994595128733071671702794426078062922265699564311 (pp51)
Version: GGNFS-0.77.0
Total time: 1.74 hours.
Scaled time: 2.06 units (timescale=1.188).
Factorization parameters were as follows:
n: 301160634434001859043915236810290858557068276203651269507515584105353054975494297092576799
m: 100000000000000000000000
c5: 4
c0: 17
skew: 1.34
type: snfs

Factor base limits: 450000/500000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [250000, 410001)
Relations: rels:1114412, finalFF:123645
Initial matrix: 79657 x 123645 with sparse part having weight 5708692.
Pruned matrix : 71040 x 71502 with weight 1969930.
Total sieving time: 1.65 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,115,5,0,0,0,0,0,0,0,0,450000,500000,25,25,44,44,2.2,2.2,20000
total time: 1.74 hours.
 --------- CPU info (if available) ----------

4×10117+173

c109

name 名前Jo Yeong Uk
date 日付February 25, 2008 17:02:05 UTC 2008 年 2 月 26 日 (火) 2 時 2 分 5 秒 (日本時間)
composite number 合成数
2473104498593961880619564636823302910234312758577257036607839368934660595840602892623273796477189635668904101<109>
prime factors 素因数
723106245094697489786689511373211<33>
1124531409652827761547009490788252799<37>
3041366547432398229574496599264058102209<40>
factorization results 素因数分解の結果
Number: 13339_117
N=2473104498593961880619564636823302910234312758577257036607839368934660595840602892623273796477189635668904101
  ( 109 digits)
SNFS difficulty: 117 digits.
Divisors found:
 r1=723106245094697489786689511373211 (pp33)
 r2=1124531409652827761547009490788252799 (pp37)
 r3=3041366547432398229574496599264058102209 (pp40)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.96 hours.
Scaled time: 1.78 units (timescale=1.856).
Factorization parameters were as follows:
n: 2473104498593961880619564636823302910234312758577257036607839368934660595840602892623273796477189635668904101
m: 200000000000000000000000
c5: 25
c0: 34
skew: 1.06
type: snfs
Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [300000, 450001)
Primes: RFBsize:49098, AFBsize:48661, largePrimes:1872252 encountered
Relations: rels:1911209, finalFF:182604
Max relations in full relation-set: 28
Initial matrix: 97823 x 182604 with sparse part having weight 15576316.
Pruned matrix : 79563 x 80116 with weight 4540075.
Total sieving time: 0.91 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,117,5,0,0,0,0,0,0,0,0,600000,600000,25,25,45,45,2.4,2.4,30000
total time: 0.96 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 8178280k/8912896k available (2435k kernel code, 208060k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 4812.91 BogoMIPS (lpj=2406455)
Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405110)
Calibrating delay using timer specific routine.. 4810.31 BogoMIPS (lpj=2405155)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405117)
execution environment 実行環境
Core 2 Quad Q6600

4×10120+173

c107

name 名前Jo Yeong Uk
date 日付February 26, 2008 00:38:10 UTC 2008 年 2 月 26 日 (火) 9 時 38 分 10 秒 (日本時間)
composite number 合成数
40515004575885434417965215165127114851969961825105124857145999259505190381310511895041336508050733630378677<107>
prime factors 素因数
217864194199759946513098280992116925864009<42>
185964493728313965614110121580783555616158402525331494591164931853<66>
factorization results 素因数分解の結果
Number: 13339_120
N=40515004575885434417965215165127114851969961825105124857145999259505190381310511895041336508050733630378677
  ( 107 digits)
SNFS difficulty: 120 digits.
Divisors found:
 r1=217864194199759946513098280992116925864009 (pp42)
 r2=185964493728313965614110121580783555616158402525331494591164931853 (pp66)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.80 hours.
Scaled time: 1.48 units (timescale=1.858).
Factorization parameters were as follows:
n: 40515004575885434417965215165127114851969961825105124857145999259505190381310511895041336508050733630378677
m: 1000000000000000000000000
c5: 4
c0: 17
skew: 1.34
type: snfs
Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [300000, 450001)
Primes: RFBsize:49098, AFBsize:49461, largePrimes:1837125 encountered
Relations: rels:1852045, finalFF:164665
Max relations in full relation-set: 28
Initial matrix: 98623 x 164665 with sparse part having weight 13791456.
Pruned matrix : 83260 x 83817 with weight 4715712.
Total sieving time: 0.74 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,120,5,0,0,0,0,0,0,0,0,600000,600000,25,25,45,45,2.4,2.4,30000
total time: 0.80 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 8178280k/8912896k available (2435k kernel code, 208060k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 4812.91 BogoMIPS (lpj=2406459)
Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405113)
Calibrating delay using timer specific routine.. 4809.97 BogoMIPS (lpj=2404989)
Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405114)
execution environment 実行環境
Core 2 Quad Q6600

4×10121+173

c112

name 名前Sinkiti Sibata
date 日付February 26, 2008 02:53:07 UTC 2008 年 2 月 26 日 (火) 11 時 53 分 7 秒 (日本時間)
composite number 合成数
1731300056614061539047787291401292101287271622335940759125354484590113946145583400138478407257787884223968161777<112>
prime factors 素因数
1066128263744179842966023845014133805371522028417<49>
1623913477852878066050128577369053541152591491514652526106580081<64>
factorization results 素因数分解の結果
Number: 13339_121
N=1731300056614061539047787291401292101287271622335940759125354484590113946145583400138478407257787884223968161777
  ( 112 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=1066128263744179842966023845014133805371522028417 (pp49)
 r2=1623913477852878066050128577369053541152591491514652526106580081 (pp64)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 2.64 hours.
Scaled time: 1.78 units (timescale=0.675).
Factorization parameters were as follows:
name: 13339_121
n: 1731300056614061539047787291401292101287271622335940759125354484590113946145583400138478407257787884223968161777
m: 1000000000000000000000000
c5: 40
c0: 17
skew: 0.84
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 600001)
Primes: RFBsize:49098, AFBsize:64053, largePrimes:2177636 encountered
Relations: rels:2321030, finalFF:268528
Max relations in full relation-set: 28
Initial matrix: 113217 x 268528 with sparse part having weight 24912659.
Pruned matrix : 83980 x 84610 with weight 5656348.
Total sieving time: 2.40 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,121,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.64 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 3.06GHz, Windows XP and Cygwin)

4×10124+173

c83

name 名前Jo Yeong Uk
date 日付February 25, 2008 15:55:52 UTC 2008 年 2 月 26 日 (火) 0 時 55 分 52 秒 (日本時間)
composite number 合成数
15147129105523130449266249388626985891346493244029314228392643742208865666200602751<83>
prime factors 素因数
33682194968730310840375233374150796019583<41>
449707304395848847455968925235148050890497<42>
factorization results 素因数分解の結果
Tue Feb 26 00:09:56 2008  
Tue Feb 26 00:09:56 2008  
Tue Feb 26 00:09:56 2008  Msieve v. 1.32
Tue Feb 26 00:09:56 2008  random seeds: 65ed768f 19de7d2d
Tue Feb 26 00:09:56 2008  factoring 15147129105523130449266249388626985891346493244029314228392643742208865666200602751 (83 digits)
Tue Feb 26 00:09:57 2008  no P-1/P+1/ECM available, skipping
Tue Feb 26 00:09:57 2008  commencing quadratic sieve (82-digit input)
Tue Feb 26 00:09:57 2008  using multiplier of 31
Tue Feb 26 00:09:57 2008  using 32kb Intel Core sieve core
Tue Feb 26 00:09:57 2008  sieve interval: 12 blocks of size 32768
Tue Feb 26 00:09:57 2008  processing polynomials in batches of 17
Tue Feb 26 00:09:57 2008  using a sieve bound of 1350541 (52059 primes)
Tue Feb 26 00:09:57 2008  using large prime bound of 124249772 (26 bits)
Tue Feb 26 00:09:57 2008  using trial factoring cutoff of 27 bits
Tue Feb 26 00:09:57 2008  polynomial 'A' values have 11 factors
Tue Feb 26 00:26:53 2008  52429 relations (27593 full + 24836 combined from 269723 partial), need 52155
Tue Feb 26 00:26:54 2008  begin with 297316 relations
Tue Feb 26 00:26:54 2008  reduce to 74133 relations in 2 passes
Tue Feb 26 00:26:54 2008  attempting to read 74133 relations
Tue Feb 26 00:26:54 2008  recovered 74133 relations
Tue Feb 26 00:26:54 2008  recovered 65067 polynomials
Tue Feb 26 00:26:54 2008  attempting to build 52429 cycles
Tue Feb 26 00:26:54 2008  found 52429 cycles in 1 passes
Tue Feb 26 00:26:54 2008  distribution of cycle lengths:
Tue Feb 26 00:26:54 2008     length 1 : 27593
Tue Feb 26 00:26:54 2008     length 2 : 24836
Tue Feb 26 00:26:54 2008  largest cycle: 2 relations
Tue Feb 26 00:26:54 2008  matrix is 52059 x 52429 with weight 1691215 (avg 32.26/col)
Tue Feb 26 00:26:54 2008  filtering completed in 4 passes
Tue Feb 26 00:26:54 2008  matrix is 44234 x 44298 with weight 1396136 (avg 31.52/col)
Tue Feb 26 00:26:55 2008  saving the first 48 matrix rows for later
Tue Feb 26 00:26:55 2008  matrix is 44186 x 44298 with weight 1030375 (avg 23.26/col)
Tue Feb 26 00:26:55 2008  matrix includes 64 packed rows
Tue Feb 26 00:26:55 2008  commencing Lanczos iteration
Tue Feb 26 00:27:21 2008  lanczos halted after 700 iterations (dim = 44175)
Tue Feb 26 00:27:21 2008  recovered 13 nontrivial dependencies
Tue Feb 26 00:27:21 2008  prp41 factor: 33682194968730310840375233374150796019583
Tue Feb 26 00:27:21 2008  prp42 factor: 449707304395848847455968925235148050890497
Tue Feb 26 00:27:21 2008  elapsed time 00:17:25
execution environment 実行環境
Core 2 Quad Q6600

4×10126+173

c105

name 名前Sinkiti Sibata
date 日付February 26, 2008 06:50:45 UTC 2008 年 2 月 26 日 (火) 15 時 50 分 45 秒 (日本時間)
composite number 合成数
270679376685841095843311932998986459968041182656991480680590979940930784945538563824171799516828487711451<105>
prime factors 素因数
236131606868916230324368736021180849580845243<45>
1146307265998928188707147607605206865081607528799744013788257<61>
factorization results 素因数分解の結果
Number: 13339_126
N=270679376685841095843311932998986459968041182656991480680590979940930784945538563824171799516828487711451
  ( 105 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=236131606868916230324368736021180849580845243 (pp45)
 r2=1146307265998928188707147607605206865081607528799744013788257 (pp61)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 3.58 hours.
Scaled time: 2.42 units (timescale=0.675).
Factorization parameters were as follows:
name: 13339_126
n: 270679376685841095843311932998986459968041182656991480680590979940930784945538563824171799516828487711451
m: 10000000000000000000000000
c5: 40
c0: 17
skew: 0.84
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 700001)
Primes: RFBsize:49098, AFBsize:64053, largePrimes:2202658 encountered
Relations: rels:2318750, finalFF:227942
Max relations in full relation-set: 28
Initial matrix: 113217 x 227942 with sparse part having weight 22222821.
Pruned matrix : 92940 x 93570 with weight 6724861.
Total sieving time: 3.29 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,126,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 3.58 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 3.06GHz, Windows XP and Cygwin)

4×10128+173

c121

name 名前Sinkiti Sibata
date 日付February 26, 2008 01:39:23 UTC 2008 年 2 月 26 日 (火) 10 時 39 分 23 秒 (日本時間)
composite number 合成数
4314276537511356389237006065085456272871260726194773903273423887193575947321561765086585534754954323729656689610960005373<121>
prime factors 素因数
2264647650843887046315670559789081872837<40>
1905054208279908717959032447092198327666493476216888547860932106950160593631866329<82>
factorization results 素因数分解の結果
Number: 13339_128
N=4314276537511356389237006065085456272871260726194773903273423887193575947321561765086585534754954323729656689610960005373
  ( 121 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=2264647650843887046315670559789081872837 (pp40)
 r2=1905054208279908717959032447092198327666493476216888547860932106950160593631866329 (pp82)
Version: GGNFS-0.77.1-20060513-k8
Total time: 4.50 hours.
Scaled time: 8.93 units (timescale=1.986).
Factorization parameters were as follows:
name:13339_128
n: 4314276537511356389237006065085456272871260726194773903273423887193575947321561765086585534754954323729656689610960005373
m: 20000000000000000000000000
c5: 125
c0: 17
skew: 0.67
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [400000, 950001)
Primes: RFBsize:63951, AFBsize:64073, largePrimes:1650177 encountered
Relations: rels:1772225, finalFF:282784
Max relations in full relation-set: 28
Initial matrix: 128089 x 282784 with sparse part having weight 20216596.
Pruned matrix : 93487 x 94191 with weight 6406529.
Total sieving time: 4.36 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,128,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 4.50 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

4×10129+173

c80

name 名前Jo Yeong Uk
date 日付February 25, 2008 15:05:25 UTC 2008 年 2 月 26 日 (火) 0 時 5 分 25 秒 (日本時間)
composite number 合成数
11717657060444906039226517298146590277694612229277754702118211578659202199298969<80>
prime factors 素因数
365060056289000062010732444238977<33>
32097888713326155328978718452411150896824316697<47>
factorization results 素因数分解の結果
Mon Feb 25 23:07:08 2008  
Mon Feb 25 23:07:08 2008  
Mon Feb 25 23:07:08 2008  Msieve v. 1.32
Mon Feb 25 23:07:08 2008  random seeds: ed514adf 848fe788
Mon Feb 25 23:07:08 2008  factoring 11717657060444906039226517298146590277694612229277754702118211578659202199298969 (80 digits)
Mon Feb 25 23:07:09 2008  no P-1/P+1/ECM available, skipping
Mon Feb 25 23:07:09 2008  commencing quadratic sieve (79-digit input)
Mon Feb 25 23:07:09 2008  using multiplier of 1
Mon Feb 25 23:07:09 2008  using 32kb Intel Core sieve core
Mon Feb 25 23:07:09 2008  sieve interval: 12 blocks of size 32768
Mon Feb 25 23:07:09 2008  processing polynomials in batches of 17
Mon Feb 25 23:07:09 2008  using a sieve bound of 1182691 (45941 primes)
Mon Feb 25 23:07:09 2008  using large prime bound of 118269100 (26 bits)
Mon Feb 25 23:07:09 2008  using trial factoring cutoff of 27 bits
Mon Feb 25 23:07:09 2008  polynomial 'A' values have 10 factors
Mon Feb 25 23:17:56 2008  46269 relations (23525 full + 22744 combined from 251467 partial), need 46037
Mon Feb 25 23:17:56 2008  begin with 274992 relations
Mon Feb 25 23:17:56 2008  reduce to 66226 relations in 2 passes
Mon Feb 25 23:17:56 2008  attempting to read 66226 relations
Mon Feb 25 23:17:57 2008  recovered 66226 relations
Mon Feb 25 23:17:57 2008  recovered 55745 polynomials
Mon Feb 25 23:17:57 2008  attempting to build 46269 cycles
Mon Feb 25 23:17:57 2008  found 46269 cycles in 1 passes
Mon Feb 25 23:17:57 2008  distribution of cycle lengths:
Mon Feb 25 23:17:57 2008     length 1 : 23525
Mon Feb 25 23:17:57 2008     length 2 : 22744
Mon Feb 25 23:17:57 2008  largest cycle: 2 relations
Mon Feb 25 23:17:57 2008  matrix is 45941 x 46269 with weight 1371427 (avg 29.64/col)
Mon Feb 25 23:17:57 2008  filtering completed in 4 passes
Mon Feb 25 23:17:57 2008  matrix is 39547 x 39611 with weight 1149437 (avg 29.02/col)
Mon Feb 25 23:17:57 2008  saving the first 48 matrix rows for later
Mon Feb 25 23:17:57 2008  matrix is 39499 x 39611 with weight 837611 (avg 21.15/col)
Mon Feb 25 23:17:57 2008  matrix includes 64 packed rows
Mon Feb 25 23:17:57 2008  commencing Lanczos iteration
Mon Feb 25 23:18:17 2008  lanczos halted after 626 iterations (dim = 39493)
Mon Feb 25 23:18:17 2008  recovered 14 nontrivial dependencies
Mon Feb 25 23:18:17 2008  prp33 factor: 365060056289000062010732444238977
Mon Feb 25 23:18:17 2008  prp47 factor: 32097888713326155328978718452411150896824316697
Mon Feb 25 23:18:17 2008  elapsed time 00:11:09
execution environment 実行環境
Core 2 Quad Q6600

4×10135+173

c111

name 名前Sinkiti Sibata
date 日付February 26, 2008 04:52:22 UTC 2008 年 2 月 26 日 (火) 13 時 52 分 22 秒 (日本時間)
composite number 合成数
287228759523614873835871623098592515574414650930219728909431025522262906433847741731199852827139960161808345277<111>
prime factors 素因数
4380977512855558196767027709308224937234411105284163883<55>
65562710303983445700242735959728821688792651648307630519<56>
factorization results 素因数分解の結果
Number: 13339_135
N=287228759523614873835871623098592515574414650930219728909431025522262906433847741731199852827139960161808345277
  ( 111 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=4380977512855558196767027709308224937234411105284163883 (pp55)
 r2=65562710303983445700242735959728821688792651648307630519 (pp56)
Version: GGNFS-0.77.1-20060513-k8
Total time: 5.81 hours.
Scaled time: 11.63 units (timescale=2.001).
Factorization parameters were as follows:
name: 13339_135
n: 287228759523614873835871623098592515574414650930219728909431025522262906433847741731199852827139960161808345277
m: 1000000000000000000000000000
c5: 4
c0: 17
skew: 1.34
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 1075001)
Primes: RFBsize:78498, AFBsize:64243, largePrimes:1496217 encountered
Relations: rels:1480212, finalFF:161368
Max relations in full relation-set: 28
Initial matrix: 142805 x 161368 with sparse part having weight 12113242.
Pruned matrix : 136801 x 137579 with weight 8839142.
Total sieving time: 5.58 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,135,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 5.81 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

4×10136+173

c130

name 名前Sinkiti Sibata
date 日付February 26, 2008 09:26:25 UTC 2008 年 2 月 26 日 (火) 18 時 26 分 25 秒 (日本時間)
composite number 合成数
3568866953442970710576578115047601101316653162966331576826240522539223855305999559780261292809562850379089508878404152590832348103<130>
prime factors 素因数
956208466723298533771784872423<30>
3732310555325491082117959675188859828864096907351170143183605318022765214999058108875422540141456161<100>
factorization results 素因数分解の結果
Number: 13339_136
N=3568866953442970710576578115047601101316653162966331576826240522539223855305999559780261292809562850379089508878404152590832348103
  ( 130 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=956208466723298533771784872423 (pp30)
 r2=3732310555325491082117959675188859828864096907351170143183605318022765214999058108875422540141456161 (pp100)
Version: GGNFS-0.77.1-20060513-k8
Total time: 7.93 hours.
Scaled time: 15.76 units (timescale=1.988).
Factorization parameters were as follows:
name: 13339_136
n: 3568866953442970710576578115047601101316653162966331576826240522539223855305999559780261292809562850379089508878404152590832348103
m: 1000000000000000000000000000
c5: 40
c0: 17
skew: 0.84
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 1375001)
Primes: RFBsize:78498, AFBsize:64053, largePrimes:1600737 encountered
Relations: rels:1625919, finalFF:194313
Max relations in full relation-set: 28
Initial matrix: 142617 x 194313 with sparse part having weight 17340077.
Pruned matrix : 127910 x 128687 with weight 9762916.
Total sieving time: 7.66 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 7.93 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

4×10137+173

c128

name 名前Sinkiti Sibata
date 日付February 26, 2008 15:16:34 UTC 2008 年 2 月 27 日 (水) 0 時 16 分 34 秒 (日本時間)
composite number 合成数
20347942136304429029183631746254234306862886526261416848618003401892376616431131460981554065323923352408492867165444245144676919<128>
prime factors 素因数
1714801068361452362148879871541<31>
11866065698073971314555419688519586074878423197647649070453154014930648060685107891975630143616059<98>
factorization results 素因数分解の結果
Number: 13339_137
N=20347942136304429029183631746254234306862886526261416848618003401892376616431131460981554065323923352408492867165444245144676919
  ( 128 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=1714801068361452362148879871541 (pp31)
 r2=11866065698073971314555419688519586074878423197647649070453154014930648060685107891975630143616059 (pp98)
Version: GGNFS-0.77.1-20060513-k8
Total time: 10.83 hours.
Scaled time: 21.50 units (timescale=1.986).
Factorization parameters were as follows:
name: 13339_137
n: 20347942136304429029183631746254234306862886526261416848618003401892376616431131460981554065323923352408492867165444245144676919
m: 2000000000000000000000000000
c5: 25
c0: 34
skew: 1.06
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 1825001)
Primes: RFBsize:78498, AFBsize:63478, largePrimes:1643983 encountered
Relations: rels:1666339, finalFF:176380
Max relations in full relation-set: 28
Initial matrix: 142040 x 176380 with sparse part having weight 18465089.
Pruned matrix : 133405 x 134179 with weight 12556937.
Total sieving time: 10.51 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.19 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,137,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 10.83 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

4×10140+173

c124

name 名前Sinkiti Sibata
date 日付February 26, 2008 22:26:10 UTC 2008 年 2 月 27 日 (水) 7 時 26 分 10 秒 (日本時間)
composite number 合成数
5784818660226710392893078633225827009749351932038762240593991255227477040501870714437762806715702310280279904345671117125177<124>
prime factors 素因数
26537771762988932797230520985691326549<38>
217984339902061538043658310872268089617507279115184973919874854501815077478362601957973<87>
factorization results 素因数分解の結果
Number: 13339_140
N=5784818660226710392893078633225827009749351932038762240593991255227477040501870714437762806715702310280279904345671117125177
  ( 124 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=26537771762988932797230520985691326549 (pp38)
 r2=217984339902061538043658310872268089617507279115184973919874854501815077478362601957973 (pp87)
Version: GGNFS-0.77.1-20060513-k8
Total time: 9.46 hours.
Scaled time: 18.92 units (timescale=2.001).
Factorization parameters were as follows:
name: 13339_140
n: 5784818660226710392893078633225827009749351932038762240593991255227477040501870714437762806715702310280279904345671117125177
m: 10000000000000000000000000000
c5: 4
c0: 17
skew: 1.34
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [650000, 1550001)
Primes: RFBsize:100021, AFBsize:100163, largePrimes:2673595 encountered
Relations: rels:2647843, finalFF:269918
Max relations in full relation-set: 28
Initial matrix: 200248 x 269918 with sparse part having weight 22264975.
Pruned matrix : 177577 x 178642 with weight 12371339.
Total sieving time: 9.05 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.26 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,140,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 9.46 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

4×10142+173

c122

name 名前Sinkiti Sibata
date 日付February 27, 2008 01:21:43 UTC 2008 年 2 月 27 日 (水) 10 時 21 分 43 秒 (日本時間)
composite number 合成数
25610167729429129154219135122692807752943626214310846468823181205165725036518490526562875573240011146514873716817667674949<122>
prime factors 素因数
4952433461126705550942268828114546821893<40>
5171229039310035816298410533513362321815097567656651449551330364234046974538947393<82>
factorization results 素因数分解の結果
Number: 13339_142
N=25610167729429129154219135122692807752943626214310846468823181205165725036518490526562875573240011146514873716817667674949
  ( 122 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=4952433461126705550942268828114546821893 (pp40)
 r2=5171229039310035816298410533513362321815097567656651449551330364234046974538947393 (pp82)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 17.78 hours.
Scaled time: 12.00 units (timescale=0.675).
Factorization parameters were as follows:
name: 13339_142
n: 25610167729429129154219135122692807752943626214310846468823181205165725036518490526562875573240011146514873716817667674949
m: 20000000000000000000000000000
c5: 25
c0: 34
skew: 1.06
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [650000, 2350001)
Primes: RFBsize:100021, AFBsize:99703, largePrimes:2800788 encountered
Relations: rels:2789786, finalFF:244586
Max relations in full relation-set: 28
Initial matrix: 199788 x 244586 with sparse part having weight 26053579.
Pruned matrix : 187306 x 188368 with weight 18253445.
Total sieving time: 16.40 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.13 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,142,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 17.78 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

4×10143+173

c133

name 名前Sinkiti Sibata
date 日付February 27, 2008 08:54:37 UTC 2008 年 2 月 27 日 (水) 17 時 54 分 37 秒 (日本時間)
composite number 合成数
7310632099048481632442417594674736817587577048810320179589357685324612306601759726202069186552803790311886326790976822657893721507371<133>
prime factors 素因数
21530592730890687406724972323507960444311519390746899<53>
339546253576180671194251388956900458789709973584370940213518247026860941408782729<81>
factorization results 素因数分解の結果
Number: 13339_143
N=7310632099048481632442417594674736817587577048810320179589357685324612306601759726202069186552803790311886326790976822657893721507371
  ( 133 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=21530592730890687406724972323507960444311519390746899 (pp53)
 r2=339546253576180671194251388956900458789709973584370940213518247026860941408782729 (pp81)
Version: GGNFS-0.77.1-20060513-k8
Total time: 14.08 hours.
Scaled time: 28.10 units (timescale=1.995).
Factorization parameters were as follows:
name: 13339_143
n: 7310632099048481632442417594674736817587577048810320179589357685324612306601759726202069186552803790311886326790976822657893721507371
m: 20000000000000000000000000000
c5: 125
c0: 17
skew: 0.67
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [650000, 2150001)
Primes: RFBsize:100021, AFBsize:100153, largePrimes:2776914 encountered
Relations: rels:2762452, finalFF:254297
Max relations in full relation-set: 28
Initial matrix: 200239 x 254297 with sparse part having weight 25949347.
Pruned matrix : 184883 x 185948 with weight 17064295.
Total sieving time: 13.53 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.35 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,143,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 14.08 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

4×10148+173

c136

name 名前Jo Yeong Uk
date 日付February 27, 2008 02:29:21 UTC 2008 年 2 月 27 日 (水) 11 時 29 分 21 秒 (日本時間)
composite number 合成数
4312529361975759580155519858838490654948818548147782846071812163893943800192853626340200810716457613297607646415440679084469260066879423<136>
prime factors 素因数
532912808365383321830732841180011<33>
8092373263092864819628133138996361186520651603049089855317300239501384692261426760504261399767313194493<103>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM]
Input number is 4312529361975759580155519858838490654948818548147782846071812163893943800192853626340200810716457613297607646415440679084469260066879423 (136 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3774164663
Step 1 took 19172ms
Step 2 took 9766ms
********** Factor found in step 2: 532912808365383321830732841180011
Found probable prime factor of 33 digits: 532912808365383321830732841180011
Probable prime cofactor 8092373263092864819628133138996361186520651603049089855317300239501384692261426760504261399767313194493 has 103 digits
execution environment 実行環境
Core 2 Duo E2160

4×10150+173

c133

name 名前Robert Backstrom
date 日付March 6, 2008 11:05:40 UTC 2008 年 3 月 6 日 (木) 20 時 5 分 40 秒 (日本時間)
composite number 合成数
1706089013160948065796653250284267745523856895624707272826723480789142535712807929895649433301290486998952660344553525854016075320703<133>
prime factors 素因数
57126890860326108568751429326137900970835253270245426672695033<62>
29864902280999244026736715876111318231690393560147974398473655578471991<71>
factorization results 素因数分解の結果
Number: n
N=1706089013160948065796653250284267745523856895624707272826723480789142535712807929895649433301290486998952660344553525854016075320703
  ( 133 digits)
SNFS difficulty: 150 digits.
Divisors found:

Thu Mar  6 21:59:20 2008  prp62 factor: 57126890860326108568751429326137900970835253270245426672695033
Thu Mar  6 21:59:20 2008  prp71 factor: 29864902280999244026736715876111318231690393560147974398473655578471991
Thu Mar  6 21:59:20 2008  elapsed time 00:17:18 (Msieve 1.33)

Version: GGNFS-0.77.1-20050930-k8
Total time: 11.81 hours.
Scaled time: 9.91 units (timescale=0.839).
Factorization parameters were as follows:
name: KA_1_3_149_9
n: 1706089013160948065796653250284267745523856895624707272826723480789142535712807929895649433301290486998952660344553525854016075320703
type: snfs
deg: 5
c5: 4
c0: 17
skew: 1.34
m: 1000000000000000000000000000000
rlim: 2000000
alim: 2000000
lbpr: 28
lbpa: 28
mbpr: 48
mbpa: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved  special-q in [100000, 700001)
Primes: RFBsize:148933, AFBsize:149130, largePrimes:5287368 encountered
Relations: rels:5151793, finalFF:463201
Max relations in full relation-set: 28
Initial matrix: 298127 x 463201 with sparse part having weight 38170491.
Pruned matrix : 
Total sieving time: 11.69 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,2000000,2000000,27,27,48,48,2.5,2.5,100000
total time: 11.81 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656)
Total of 2 processors activated (11993.08 BogoMIPS).

4×10154+173

c150

name 名前Jo Yeong Uk
date 日付February 27, 2008 03:46:00 UTC 2008 年 2 月 27 日 (水) 12 時 46 分 0 秒 (日本時間)
composite number 合成数
474546511489957409450593776322501809208575055462623530388772229538147607692398951252209607194125114187754327271001649049127427601997840813372720693787<150>
prime factors 素因数
415104467682959200738565774465754443<36>
1143197793410399407185698538514618525118222228412394584420498452315299754453223670868380083914065328519933881066609<115>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM]
Input number is 474546511489957409450593776322501809208575055462623530388772229538147607692398951252209607194125114187754327271001649049127427601997840813372720693787 (150 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1897149122
Step 1 took 7137ms
Step 2 took 4530ms
********** Factor found in step 2: 415104467682959200738565774465754443
Found probable prime factor of 36 digits: 415104467682959200738565774465754443
Probable prime cofactor 1143197793410399407185698538514618525118222228412394584420498452315299754453223670868380083914065328519933881066609 has 115 digits
execution environment 実行環境
Core 2 Quad Q6600

4×10156+173

c130

name 名前Robert Backstrom
date 日付March 7, 2008 00:30:39 UTC 2008 年 3 月 7 日 (金) 9 時 30 分 39 秒 (日本時間)
composite number 合成数
1884740751191882668563906253662372628699360247371667353287240058299223854681737727018135369552948233020909693280492841805572551267<130>
prime factors 素因数
269480152008343856451946294957810061032767470763934370924086361<63>
6993987264537114565683739230936559086147454821094183445847542744347<67>
factorization results 素因数分解の結果
Number: n
N=1884740751191882668563906253662372628699360247371667353287240058299223854681737727018135369552948233020909693280492841805572551267
  ( 130 digits)
SNFS difficulty: 156 digits.
Divisors found:

Fri Mar 07 11:25:48 2008  prp63 factor: 269480152008343856451946294957810061032767470763934370924086361
Fri Mar 07 11:25:48 2008  prp67 factor: 6993987264537114565683739230936559086147454821094183445847542744347
Fri Mar 07 11:25:48 2008  elapsed time 00:50:09 (Msieve 1.33)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 24.70 hours.
Scaled time: 35.57 units (timescale=1.440).
Factorization parameters were as follows:
name: KA_1_3_155_9
n: 1884740751191882668563906253662372628699360247371667353287240058299223854681737727018135369552948233020909693280492841805572551267
skew: 0.84
deg: 5
c5: 40
c0: 17
m: 10000000000000000000000000000000
type: snfs
rlim: 2400000
alim: 2400000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 1200001)
Primes: RFBsize:176302, AFBsize:176288, largePrimes:7013324 encountered
Relations: rels:6491415, finalFF:440292
Max relations in full relation-set: 28
Initial matrix: 352656 x 440292 with sparse part having weight 37857733.
Pruned matrix : 
Total sieving time: 24.46 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2400000,2400000,28,28,48,48,2.5,2.5,100000
total time: 24.70 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

4×10157+173

c114

name 名前Jo Yeong Uk
date 日付February 27, 2008 10:33:28 UTC 2008 年 2 月 27 日 (水) 19 時 33 分 28 秒 (日本時間)
composite number 合成数
109777456634412218346494490700844285441385803001273328489621193439331026277902763095843016268149742804353789800587<114>
prime factors 素因数
47215344192327994418258987129<29>
7609598281654676371263513938560727761<37>
305540140613631168561515299376375435879608838323<48>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM]
Input number is 109777456634412218346494490700844285441385803001273328489621193439331026277902763095843016268149742804353789800587 (114 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1313139947
Step 1 took 5512ms
Step 2 took 3813ms
********** Factor found in step 2: 47215344192327994418258987129
Found probable prime factor of 29 digits: 47215344192327994418258987129
Composite cofactor 2325037728990015935986003917297505539985894435563542929797489279175271175442666784803 has 85 digits

Wed Feb 27 19:01:59 2008  
Wed Feb 27 19:01:59 2008  
Wed Feb 27 19:01:59 2008  Msieve v. 1.32
Wed Feb 27 19:01:59 2008  random seeds: df8c8585 3390fcdc
Wed Feb 27 19:01:59 2008  factoring 2325037728990015935986003917297505539985894435563542929797489279175271175442666784803 (85 digits)
Wed Feb 27 19:02:00 2008  no P-1/P+1/ECM available, skipping
Wed Feb 27 19:02:00 2008  commencing quadratic sieve (85-digit input)
Wed Feb 27 19:02:00 2008  using multiplier of 3
Wed Feb 27 19:02:00 2008  using 32kb Intel Core sieve core
Wed Feb 27 19:02:00 2008  sieve interval: 12 blocks of size 32768
Wed Feb 27 19:02:00 2008  processing polynomials in batches of 17
Wed Feb 27 19:02:00 2008  using a sieve bound of 1424231 (54412 primes)
Wed Feb 27 19:02:00 2008  using large prime bound of 116786942 (26 bits)
Wed Feb 27 19:02:00 2008  using double large prime bound of 332131201862394 (41-49 bits)
Wed Feb 27 19:02:00 2008  using trial factoring cutoff of 49 bits
Wed Feb 27 19:02:00 2008  polynomial 'A' values have 11 factors
Wed Feb 27 19:33:30 2008  54805 relations (15971 full + 38834 combined from 576753 partial), need 54508
Wed Feb 27 19:33:31 2008  begin with 592724 relations
Wed Feb 27 19:33:31 2008  reduce to 130102 relations in 10 passes
Wed Feb 27 19:33:31 2008  attempting to read 130102 relations
Wed Feb 27 19:33:32 2008  recovered 130102 relations
Wed Feb 27 19:33:32 2008  recovered 110815 polynomials
Wed Feb 27 19:33:32 2008  attempting to build 54805 cycles
Wed Feb 27 19:33:32 2008  found 54805 cycles in 5 passes
Wed Feb 27 19:33:32 2008  distribution of cycle lengths:
Wed Feb 27 19:33:32 2008     length 1 : 15971
Wed Feb 27 19:33:32 2008     length 2 : 10733
Wed Feb 27 19:33:32 2008     length 3 : 9599
Wed Feb 27 19:33:32 2008     length 4 : 7051
Wed Feb 27 19:33:32 2008     length 5 : 4787
Wed Feb 27 19:33:32 2008     length 6 : 2900
Wed Feb 27 19:33:32 2008     length 7 : 1741
Wed Feb 27 19:33:32 2008     length 9+: 2023
Wed Feb 27 19:33:32 2008  largest cycle: 16 relations
Wed Feb 27 19:33:32 2008  matrix is 54412 x 54805 with weight 2920282 (avg 53.28/col)
Wed Feb 27 19:33:33 2008  filtering completed in 3 passes
Wed Feb 27 19:33:33 2008  matrix is 49677 x 49741 with weight 2662605 (avg 53.53/col)
Wed Feb 27 19:33:33 2008  saving the first 48 matrix rows for later
Wed Feb 27 19:33:33 2008  matrix is 49629 x 49741 with weight 2029250 (avg 40.80/col)
Wed Feb 27 19:33:33 2008  matrix includes 64 packed rows
Wed Feb 27 19:33:33 2008  commencing Lanczos iteration
Wed Feb 27 19:34:24 2008  lanczos halted after 786 iterations (dim = 49629)
Wed Feb 27 19:34:24 2008  recovered 18 nontrivial dependencies
Wed Feb 27 19:34:25 2008  prp37 factor: 7609598281654676371263513938560727761
Wed Feb 27 19:34:25 2008  prp48 factor: 305540140613631168561515299376375435879608838323
Wed Feb 27 19:34:25 2008  elapsed time 00:32:26
execution environment 実行環境
Core 2 Quad Q6600

4×10158+173

c114

name 名前Robert Backstrom
date 日付March 2, 2008 22:15:06 UTC 2008 年 3 月 3 日 (月) 7 時 15 分 6 秒 (日本時間)
composite number 合成数
445230143343673430462830307452572074138592959669891654414947312621594211589980392450274580125449085186534476196879<114>
prime factors 素因数
2314877192735084930952330849764046313<37>
192334239043421111920406360429117553604774190411975262010918731321162335043383<78>
factorization results 素因数分解の結果
GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 445230143343673430462830307452572074138592959669891654414947312621594211589980392450274580125449085186534476196879 (114 digits)
Using B1=2052000, B2=2338006551, polynomial Dickson(6), sigma=380822657
Step 1 took 19828ms
Step 2 took 12547ms
********** Factor found in step 2: 2314877192735084930952330849764046313
Found probable prime factor of 37 digits: 2314877192735084930952330849764046313
Probable prime cofactor 192334239043421111920406360429117553604774190411975262010918731321162335043383 has 78 digits

4×10159+173

c122

name 名前Robert Backstrom
date 日付March 2, 2008 21:58:10 UTC 2008 年 3 月 3 日 (月) 6 時 58 分 10 秒 (日本時間)
composite number 合成数
16205599103510331606869183022166574000084869094117343333121797692014386877384011350124261973077579987497293650076653719561<122>
prime factors 素因数
6712335232775758523886486797289601<34>
2414301214334435801406014836781291748305862176834703050235565295072747708123609133613961<88>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.1] [ECM]
Input number is 16205599103510331606869183022166574000084869094117343333121797692014386877384011350124261973077579987497293650076653719561 (122 digits)
Using B1=1382000, B2=2139965110, polynomial Dickson(6), sigma=1712860543
Step 1 took 12300ms
Step 2 took 6355ms
********** Factor found in step 2: 6712335232775758523886486797289601
Found probable prime factor of 34 digits: 6712335232775758523886486797289601
Probable prime cofactor 2414301214334435801406014836781291748305862176834703050235565295072747708123609133613961 has 88 digits

4×10162+173

c129

name 名前Robert Backstrom
date 日付September 7, 2008 01:35:18 UTC 2008 年 9 月 7 日 (日) 10 時 35 分 18 秒 (日本時間)
composite number 合成数
265461328902714720449135413796276012856770681128783935438114532587303104386318078788477129357372613085202661101773298430470012799<129>
prime factors 素因数
175477359310145651369576592622195539679<39>
11017383187107043445598825146216819497967<41>
137309858416434405546180978438036203884533672564143<51>
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 265461328902714720449135413796276012856770681128783935438114532587303104386318078788477129357372613085202661101773298430470012799 (129 digits)
Using B1=2842000, B2=4281592780, polynomial Dickson(6), sigma=4034181669
Step 1 took 27125ms
Step 2 took 11531ms
********** Factor found in step 2: 11017383187107043445598825146216819497967
Found probable prime factor of 41 digits: 11017383187107043445598825146216819497967
Composite cofactor 24094771362165887160008178046242774179489161331528524488085284544470775942950829629130097 has 89 digits


Sun Sep 07 03:19:16 2008  
Sun Sep 07 03:19:16 2008  
Sun Sep 07 03:19:16 2008  Msieve v. 1.37
Sun Sep 07 03:19:16 2008  random seeds: f938b800 08bc6fd4
Sun Sep 07 03:19:16 2008  factoring 24094771362165887160008178046242774179489161331528524488085284544470775942950829629130097 (89 digits)
Sun Sep 07 03:19:16 2008  searching for 15-digit factors
Sun Sep 07 03:19:17 2008  commencing quadratic sieve (89-digit input)
Sun Sep 07 03:19:17 2008  using multiplier of 17
Sun Sep 07 03:19:17 2008  using 64kb Opteron sieve core
Sun Sep 07 03:19:17 2008  sieve interval: 15 blocks of size 65536
Sun Sep 07 03:19:17 2008  processing polynomials in batches of 7
Sun Sep 07 03:19:17 2008  using a sieve bound of 1546837 (58635 primes)
Sun Sep 07 03:19:17 2008  using large prime bound of 123746960 (26 bits)
Sun Sep 07 03:19:17 2008  using double large prime bound of 368605688486800 (42-49 bits)
Sun Sep 07 03:19:17 2008  using trial factoring cutoff of 49 bits
Sun Sep 07 03:19:17 2008  polynomial 'A' values have 11 factors
Sun Sep 07 04:22:05 2008  58762 relations (16144 full + 42618 combined from 616952 partial), need 58731
Sun Sep 07 04:22:07 2008  begin with 633096 relations
Sun Sep 07 04:22:07 2008  reduce to 141733 relations in 11 passes
Sun Sep 07 04:22:07 2008  attempting to read 141733 relations
Sun Sep 07 04:22:10 2008  recovered 141733 relations
Sun Sep 07 04:22:10 2008  recovered 119607 polynomials
Sun Sep 07 04:22:10 2008  attempting to build 58762 cycles
Sun Sep 07 04:22:10 2008  found 58762 cycles in 5 passes
Sun Sep 07 04:22:11 2008  distribution of cycle lengths:
Sun Sep 07 04:22:11 2008     length 1 : 16144
Sun Sep 07 04:22:11 2008     length 2 : 11470
Sun Sep 07 04:22:11 2008     length 3 : 10451
Sun Sep 07 04:22:11 2008     length 4 : 7660
Sun Sep 07 04:22:11 2008     length 5 : 5338
Sun Sep 07 04:22:11 2008     length 6 : 3372
Sun Sep 07 04:22:11 2008     length 7 : 1977
Sun Sep 07 04:22:11 2008     length 9+: 2350
Sun Sep 07 04:22:11 2008  largest cycle: 19 relations
Sun Sep 07 04:22:11 2008  matrix is 58635 x 58762 (14.3 MB) with weight 3516020 (59.83/col)
Sun Sep 07 04:22:11 2008  sparse part has weight 3516020 (59.83/col)
Sun Sep 07 04:22:12 2008  filtering completed in 4 passes
Sun Sep 07 04:22:12 2008  matrix is 54458 x 54522 (13.4 MB) with weight 3300382 (60.53/col)
Sun Sep 07 04:22:12 2008  sparse part has weight 3300382 (60.53/col)
Sun Sep 07 04:22:13 2008  saving the first 48 matrix rows for later
Sun Sep 07 04:22:13 2008  matrix is 54410 x 54522 (10.1 MB) with weight 2767191 (50.75/col)
Sun Sep 07 04:22:13 2008  sparse part has weight 2308672 (42.34/col)
Sun Sep 07 04:22:13 2008  matrix includes 64 packed rows
Sun Sep 07 04:22:13 2008  using block size 21808 for processor cache size 1024 kB
Sun Sep 07 04:22:14 2008  commencing Lanczos iteration
Sun Sep 07 04:22:14 2008  memory use: 9.0 MB
Sun Sep 07 04:22:56 2008  lanczos halted after 862 iterations (dim = 54409)
Sun Sep 07 04:22:56 2008  recovered 17 nontrivial dependencies
Sun Sep 07 04:22:56 2008  prp39 factor: 175477359310145651369576592622195539679
Sun Sep 07 04:22:56 2008  prp51 factor: 137309858416434405546180978438036203884533672564143
Sun Sep 07 04:22:56 2008  elapsed time 01:03:40

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 25, 2008 09:00:00 UTC 2008 年 2 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)

4×10163+173

c119

name 名前Makoto Kamada
date 日付September 6, 2008 02:17:15 UTC 2008 年 9 月 6 日 (土) 11 時 17 分 15 秒 (日本時間)
composite number 合成数
10594028369831114716682888330845541566105401124620505895213725128397891350870967330967394277735211887867089454105665163<119>
prime factors 素因数
495436223298434385356722609135189152207142936793249<51>
21383233343940664218943433891745463379743409952464040968535330972587<68>
factorization results 素因数分解の結果
This is a nuggetprime's result posted on 21 Aug 2008 at:
http://www.mersenneforum.org/showthread.php?p=139605#post139605

GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 10594028369831114716682888330845541566105401124620505895213725128397891350870967330967394277735211887867089454105665163 (119 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=861666340
Step 1 took 46698ms
Step 2 took 25614ms
********** Factor found in step 2: 495436223298434385356722609135189152207142936793249
Found probable prime factor of 51 digits: 495436223298434385356722609135189152207142936793249
Probable prime cofactor 21383233343940664218943433891745463379743409952464040968535330972587 has 68 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 25, 2008 09:00:00 UTC 2008 年 2 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)

4×10166+173

c158

name 名前Robert Backstrom
date 日付April 11, 2008 07:22:34 UTC 2008 年 4 月 11 日 (金) 16 時 22 分 34 秒 (日本時間)
composite number 合成数
38816585897454376370203041341417520056828335718762951002257396990744760548637933715654773052226878857184125827938004994260332153467299638252418262869453947707<158>
prime factors 素因数
4174243305008880150142804690262251278349<40>
7364569572438135830466677565409660399752515893267<49>
1262676814439812792538853247661616472122117327064522172690220773124829<70>
factorization results 素因数分解の結果
Number: n
N=38816585897454376370203041341417520056828335718762951002257396990744760548637933715654773052226878857184125827938004994260332153467299638252418262869453947707
  ( 158 digits)
SNFS difficulty: 166 digits.
Divisors found:

Fri Apr 11 07:07:03 2008  prp40 factor: 4174243305008880150142804690262251278349
Fri Apr 11 07:07:03 2008  prp49 factor: 7364569572438135830466677565409660399752515893267
Fri Apr 11 07:07:03 2008  prp70 factor: 1262676814439812792538853247661616472122117327064522172690220773124829
Fri Apr 11 07:07:03 2008  elapsed time 00:55:29 (Msieve 1.34)

Version: GGNFS-0.77.1-20050930-k8
Total time: 54.76 hours.
Scaled time: 45.78 units (timescale=0.836).
Factorization parameters were as follows:
name: KA_1_3_165_9
n: 38816585897454376370203041341417520056828335718762951002257396990744760548637933715654773052226878857184125827938004994260332153467299638252418262869453947707
type: snfs
deg: 5
c5: 40
c0: 17
skew: 0.84
m: 1000000000000000000000000000000000
rlim: 3200000
alim: 3200000
lbpr: 28
lbpa: 28
mbpr: 48
mbpa: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved  special-q in [100000, 3300001)
Primes: RFBsize:230209, AFBsize:230272, largePrimes:5779326 encountered
Relations: rels:5745407, finalFF:535328
Max relations in full relation-set: 28
Initial matrix: 460547 x 535328 with sparse part having weight 49032993.
Pruned matrix : 
Total sieving time: 54.57 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,48,48,2.5,2.5,100000
total time: 54.76 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656)
Total of 2 processors activated (11993.08 BogoMIPS).

4×10169+173

c125

name 名前Robert Backstrom
date 日付May 8, 2008 18:44:59 UTC 2008 年 5 月 9 日 (金) 3 時 44 分 59 秒 (日本時間)
composite number 合成数
34434608870307923404475024657134844748701860309674587315404647632781283456753980732432357056267145154518245991279445057211333<125>
prime factors 素因数
54993925552292230908242328636465353<35>
2748027937502551074896604229460386066456913<43>
227855381034873924333702464731031467728937974797<48>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.1] [ECM]
Input number is 34434608870307923404475024657134844748701860309674587315404647632781283456753980732432357056267145154518245991279445057211333 (125 digits)
Using B1=1902000, B2=2853920170, polynomial Dickson(6), sigma=302158330
Step 1 took 16877ms
Step 2 took 8046ms
********** Factor found in step 2: 2748027937502551074896604229460386066456913
Found probable prime factor of 43 digits: 2748027937502551074896604229460386066456913
Composite cofactor 12530661861321035695461437620308285858371167816021440960712419669439223860277708341 has 83 digits


Fri May  9 04:21:35 2008  
Fri May  9 04:21:35 2008  
Fri May  9 04:21:35 2008  Msieve v. 1.34
Fri May  9 04:21:35 2008  random seeds: 691b551c 6b560d30
Fri May  9 04:21:35 2008  factoring 12530661861321035695461437620308285858371167816021440960712419669439223860277708341 (83 digits)
Fri May  9 04:21:35 2008  no P-1/P+1/ECM available, skipping
Fri May  9 04:21:35 2008  commencing quadratic sieve (83-digit input)
Fri May  9 04:21:35 2008  using multiplier of 61
Fri May  9 04:21:35 2008  using 64kb Opteron sieve core
Fri May  9 04:21:35 2008  sieve interval: 6 blocks of size 65536
Fri May  9 04:21:35 2008  processing polynomials in batches of 17
Fri May  9 04:21:35 2008  using a sieve bound of 1359329 (52059 primes)
Fri May  9 04:21:35 2008  using large prime bound of 125058268 (26 bits)
Fri May  9 04:21:35 2008  using trial factoring cutoff of 27 bits
Fri May  9 04:21:35 2008  polynomial 'A' values have 11 factors
Fri May  9 04:35:11 2008  52262 relations (27275 full + 24987 combined from 270355 partial), need 52155
Fri May  9 04:35:11 2008  begin with 297630 relations
Fri May  9 04:35:11 2008  reduce to 74125 relations in 2 passes
Fri May  9 04:35:11 2008  attempting to read 74125 relations
Fri May  9 04:35:12 2008  recovered 74125 relations
Fri May  9 04:35:12 2008  recovered 66164 polynomials
Fri May  9 04:35:12 2008  attempting to build 52262 cycles
Fri May  9 04:35:12 2008  found 52262 cycles in 1 passes
Fri May  9 04:35:12 2008  distribution of cycle lengths:
Fri May  9 04:35:12 2008     length 1 : 27275
Fri May  9 04:35:12 2008     length 2 : 24987
Fri May  9 04:35:12 2008  largest cycle: 2 relations
Fri May  9 04:35:12 2008  matrix is 52059 x 52262 (7.2 MB) with weight 1681414 (32.17/col)
Fri May  9 04:35:12 2008  sparse part has weight 1681414 (32.17/col)
Fri May  9 04:35:12 2008  filtering completed in 4 passes
Fri May  9 04:35:12 2008  matrix is 44666 x 44730 (6.1 MB) with weight 1410257 (31.53/col)
Fri May  9 04:35:12 2008  sparse part has weight 1410257 (31.53/col)
Fri May  9 04:35:12 2008  saving the first 48 matrix rows for later
Fri May  9 04:35:12 2008  matrix is 44618 x 44730 (3.7 MB) with weight 1022140 (22.85/col)
Fri May  9 04:35:12 2008  sparse part has weight 706896 (15.80/col)
Fri May  9 04:35:12 2008  matrix includes 64 packed rows
Fri May  9 04:35:12 2008  commencing Lanczos iteration
Fri May  9 04:35:12 2008  memory use: 5.4 MB
Fri May  9 04:35:43 2008  lanczos halted after 707 iterations (dim = 44606)
Fri May  9 04:35:44 2008  recovered 12 nontrivial dependencies
Fri May  9 04:35:44 2008  prp35 factor: 54993925552292230908242328636465353
Fri May  9 04:35:44 2008  prp48 factor: 227855381034873924333702464731031467728937974797
Fri May  9 04:35:44 2008  elapsed time 00:14:09

4×10171+173

c133

name 名前Markus Tervooren
date 日付October 19, 2009 04:23:54 UTC 2009 年 10 月 19 日 (月) 13 時 23 分 54 秒 (日本時間)
composite number 合成数
4192707701980709313272970180900604964145466964095403481717259105461617889929221812951526597959289619118710495547938053457257538998613<133>
prime factors 素因数
1811998610010835822993607900189787073446791070400527729757<58>
2313858122637101115780520754396976599766152089544026425029700261948700504409<76>
factorization results 素因数分解の結果
lpbr: 32 
lpba: 32
mfbr: 65
mfba: 65
rlambda: 2.4
alambda: 2.4

Sieve time: ~21 hours @ 0.0018secs/rel, 41718887 total relations

commencing linear algebra
read 913581 cycles
cycles contain 3080119 unique relations

read 3080119 relations
using 20 quadratic characters above 4291404732
building initial matrix
memory use: 372.8 MB
read 913581 cycles
matrix is 913322 x 913581 (273.3 MB) with weight 81825084 (89.57/col)
sparse part has weight 61599757 (67.43/col)
filtering completed in 3 passes
matrix is 908377 x 908577 (272.6 MB) with weight 81576027 (89.78/col)
sparse part has weight 61464641 (67.65/col)
read 908577 cycles
matrix is 908377 x 908577 (272.6 MB) with weight 81576027 (89.78/col)
sparse part has weight 61464641 (67.65/col)
saving the first 48 matrix rows for later
matrix is 908329 x 908577 (258.5 MB) with weight 64431455 (70.91/col)
sparse part has weight 58682398 (64.59/col)
matrix includes 64 packed rows
using block size 65536 for processor cache size 4096 kB
commencing Lanczos iteration (4 threads)
memory use: 274.1 MB
linear algebra completed 908252 of 908577 dimensions (100.0%, ETA 0h 0m)
lanczos halted after 14367 iterations (dim = 908323)
recovered 35 nontrivial dependencies
BLanczosTime: 4268
elapsed time 01:11:09


commencing square root phase
reading relations for dependency 1
read 454350 cycles
cycles contain 1875691 unique relations
read 1875691 relations
multiplying 1537770 relations
multiply complete, coefficients have about 41.57 million bits
initial square root is modulo 929311
sqrtTime: 293
prp58 factor: 1811998610010835822993607900189787073446791070400527729757
prp76 factor: 2313858122637101115780520754396976599766152089544026425029700261948700504409
elapsed time 00:04:55

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 25, 2008 09:00:00 UTC 2008 年 2 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6904Sinkiti SibataAugust 21, 2008 22:25:52 UTC 2008 年 8 月 22 日 (金) 7 時 25 分 52 秒 (日本時間)

4×10172+173

c134

name 名前Sinkiti Sibata
date 日付February 26, 2010 23:37:01 UTC 2010 年 2 月 27 日 (土) 8 時 37 分 1 秒 (日本時間)
composite number 合成数
13056863419457890050431365913014502922835991826630671946129054157406689978355344915643036147881220693804338010252232715778158010154497<134>
prime factors 素因数
24810789723900105090955741370007349221583859981<47>
526257469623398614415392439948486070797003604005931292446455183140895595832089089719237<87>
factorization results 素因数分解の結果
Number: 13339_172
N=13056863419457890050431365913014502922835991826630671946129054157406689978355344915643036147881220693804338010252232715778158010154497
  ( 134 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=24810789723900105090955741370007349221583859981 (pp47)
 r2=526257469623398614415392439948486070797003604005931292446455183140895595832089089719237 (pp87)
Version: Msieve-1.40
Total time: 97.65 hours.
Scaled time: 196.27 units (timescale=2.010).
Factorization parameters were as follows:
name: 13339_172
n: 13056863419457890050431365913014502922835991826630671946129054157406689978355344915643036147881220693804338010252232715778158010154497
m: 10000000000000000000000000000000000
deg: 5
c5: 400
c0: 17
skew: 0.53
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2650000, 6150001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1019384 x 1019632
Total sieving time: 94.61 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 2.71 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,172.000,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
total time: 97.65 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
3025e4430Makoto KamadaFebruary 25, 2008 09:00:00 UTC 2008 年 2 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiJune 22, 2009 00:18:19 UTC 2009 年 6 月 22 日 (月) 9 時 18 分 19 秒 (日本時間)

4×10173+173

c167

name 名前Ignacio Santos
date 日付September 15, 2009 14:53:12 UTC 2009 年 9 月 15 日 (火) 23 時 53 分 12 秒 (日本時間)
composite number 合成数
15282792603296490723134751400734804309762796922213680414723029758615550157418494861180090632309114959343759942172969347646738401802727649899647452719529005727876046771<167>
prime factors 素因数
3055312741028287927419953994566699688539650674426697<52>
5002038710496443223237430195243628039136222337015568712568093688915681320808688259006916876185102925314392005660443<115>
factorization results 素因数分解の結果
Number: 13339_173
N=15282792603296490723134751400734804309762796922213680414723029758615550157418494861180090632309114959343759942172969347646738401802727649899647452719529005727876046771
  ( 167 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=3055312741028287927419953994566699688539650674426697 (pp52)
 r2=5002038710496443223237430195243628039136222337015568712568093688915681320808688259006916876185102925314392005660443 (pp115)
Version: Msieve-1.40
Total time: 64.00 hours.
Scaled time: 111.30 units (timescale=1.739).
Factorization parameters were as follows:
n: 15282792603296490723134751400734804309762796922213680414723029758615550157418494861180090632309114959343759942172969347646738401802727649899647452719529005727876046771
m: 20000000000000000000000000000000000
deg: 5
c5: 125
c0: 17
skew: 0.67
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2750000, 6050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1011480 x 1011706
Total sieving time: 62.32 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.33 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
snfs,173.000,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
total time: 64.00 hours.
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 25, 2008 09:00:00 UTC 2008 年 2 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiAugust 19, 2009 05:31:27 UTC 2009 年 8 月 19 日 (水) 14 時 31 分 27 秒 (日本時間)

4×10174+173

c164

name 名前Lionel Debroux
date 日付October 3, 2009 09:58:57 UTC 2009 年 10 月 3 日 (土) 18 時 58 分 57 秒 (日本時間)
composite number 合成数
34653480265930107213911468312089814676202650490024533804881869022835266218664881461304021116792725096000602005734429619839477009825529617570745711284331483625134749<164>
prime factors 素因数
17046294381955175722850377313441<32>
2032904013590983323124640548830455534219890792230587335816686586190726080165488832358711164967138379379602576761258463473790718398589<133>
factorization results 素因数分解の結果
$ echo 34653480265930107213911468312089814676202650490024533804881869022835266218664881461304021116792725096000602005734429619839477009825529617570745711284331483625134749 | ecm -n -c 1000 1e6
GMP-ECM 6.2.3 [powered by GMP 4.2.2] [ECM]
Input number is 34653480265930107213911468312089814676202650490024533804881869022835266218664881461304021116792725096000602005734429619839477009825529617570745711284331483625134749 (164 digits)
Run 445 out of 1000:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=811603726
Step 1 took 7293ms
Step 2 took 5490ms
********** Factor found in step 2: 17046294381955175722850377313441
Found probable prime factor of 32 digits: 17046294381955175722850377313441
Probable prime cofactor 2032904013590983323124640548830455534219890792230587335816686586190726080165488832358711164967138379379602576761258463473790718398589 has 133 digits
software ソフトウェア
GMP-ECM 6.2.3
execution environment 実行環境
Core 2 Duo T7200, 2 GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 25, 2008 09:00:00 UTC 2008 年 2 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)

4×10178+173

c142

name 名前Dmitry Domanov
date 日付May 10, 2013 08:14:00 UTC 2013 年 5 月 10 日 (金) 17 時 14 分 0 秒 (日本時間)
composite number 合成数
1449638426525957230688871051446042943123572912114200418380760581804261722171084535475820889993433270838193230072807876193798755713867035629131<142>
prime factors 素因数
555185939086331699833779704890264351409842560142658751490982495359459<69>
2611086348677389158075876336813965221224458613144532934189670072260966009<73>
factorization results 素因数分解の結果
N=1449638426525957230688871051446042943123572912114200418380760581804261722171084535475820889993433270838193230072807876193798755713867035629131
  ( 142 digits)
SNFS difficulty: 178 digits.
Divisors found:
 r1=555185939086331699833779704890264351409842560142658751490982495359459 (pp69)
 r2=2611086348677389158075876336813965221224458613144532934189670072260966009 (pp73)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 90.00 hours.
Scaled time: 172.99 units (timescale=1.922).
Factorization parameters were as follows:
n: 1449638426525957230688871051446042943123572912114200418380760581804261722171084535475820889993433270838193230072807876193798755713867035629131
m: 200000000000000000000000000000000000
deg: 5
c5: 125
c0: 17
skew: 0.67
# Murphy_E = 1.237e-10
type: snfs
lss: 1
rlim: 6600000
alim: 6600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 6600000/6600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3300000, 8100001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1196420 x 1196646
Total sieving time: 88.36 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 1.37 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,178.000,5,0,0,0,0,0,0,0,0,6600000,6600000,28,28,53,53,2.5,2.5,100000
total time: 90.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 25, 2008 09:00:00 UTC 2008 年 2 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 5, 2010 15:30:04 UTC 2010 年 10 月 6 日 (水) 0 時 30 分 4 秒 (日本時間)
403e62144110Ignacio SantosOctober 5, 2010 15:30:04 UTC 2010 年 10 月 6 日 (水) 0 時 30 分 4 秒 (日本時間)
2034Wataru SakaiJanuary 11, 2012 06:15:03 UTC 2012 年 1 月 11 日 (水) 15 時 15 分 3 秒 (日本時間)
4511e632 / 3991Ignacio SantosOctober 5, 2010 15:30:04 UTC 2010 年 10 月 6 日 (水) 0 時 30 分 4 秒 (日本時間)

4×10179+173

c166

name 名前matsui
date 日付September 10, 2010 04:29:27 UTC 2010 年 9 月 10 日 (金) 13 時 29 分 27 秒 (日本時間)
composite number 合成数
5376009950539265662051468241820801959548748130286181003617890159802301899296164645935356917534869998292408216870580431741877731128424139885699988147119919946480267111<166>
prime factors 素因数
2255108483152278631723934002691201232799<40>
2383925203910576036739499667582636576113037713638817822860782905959678367496060813490282062940533986807659656148091182535052089<127>
factorization results 素因数分解の結果
N=5376009950539265662051468241820801959548748130286181003617890159802301899296164645935356917534869998292408216870580431741877731128424139885699988147119919946480267111
  ( 166 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=2255108483152278631723934002691201232799 (pp40)
 r2=2383925203910576036739499667582636576113037713638817822860782905959678367496060813490282062940533986807659656148091182535052089 (pp127)
Version: Msieve v. 1.47
Total time:
Scaled time: 46.02 units (timescale=1.719).
Factorization parameters were as follows:
n: 5376009950539265662051468241820801959548748130286181003617890159802301899296164645935356917534869998292408216870580431741877731128424139885699988147119919946480267111
m: 200000000000000000000000000000000000
deg: 5
c5: 1250
c0: 17
skew: 0.42
type: snfs
lss: 1
rlim: 6900000
alim: 6900000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 6900000/6900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3450000, 8650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1365555 x 1365782
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,179.000,5,0,0,0,0,0,0,0,0,6900000,6900000,28,28,53,53,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 25, 2008 09:00:00 UTC 2008 年 2 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)

4×10180+173

c134

name 名前Robert Backstrom
date 日付April 25, 2012 01:42:07 UTC 2012 年 4 月 25 日 (水) 10 時 42 分 7 秒 (日本時間)
composite number 合成数
15324734655678347076188850401569719539760678154487912986799498151545930579074462059759262197517085518506428300545156396178602509557713<134>
prime factors 素因数
1007706964342534880491104221085485776551445130720153695489<58>
15207530758385467846484479223366603673033094766612543505885537635423996369617<77>
factorization results 素因数分解の結果
Number: n
N=15324734655678347076188850401569719539760678154487912986799498151545930579074462059759262197517085518506428300545156396178602509557713
  ( 134 digits)
Divisors found:

Wed Apr 25 09:48:15 2012  prp58 factor: 1007706964342534880491104221085485776551445130720153695489
Wed Apr 25 09:48:15 2012  prp77 factor: 15207530758385467846484479223366603673033094766612543505885537635423996369617
Wed Apr 25 09:48:15 2012  elapsed time 02:52:05 (Msieve 1.44 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.096).
Factorization parameters were as follows:
name: KA_13339_180
n: 15324734655678347076188850401569719539760678154487912986799498151545930579074462059759262197517085518506428300545156396178602509557713
skew: 74585.88
# norm 3.55e+18
c5: 295920
c4: -1246860173508
c3: 26395702744540502
c2: 2653624299716510047420
c1: -142214793717203177370729989
c0: 788748894401878751783408495375
# alpha -6.49
Y1: 22140358136177
Y0: -34901489448544901923234038
# Murphy_E 4.61e-11
# M 7152882774137304613536295894069090263781008240604072350498169548390996579737833181706649940144105841088580274418682492555945335641845
type: gnfs
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
qintsize: 60000
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 21960000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2968286 hash collisions in 13011532 relations (9995000 unique)
Msieve: matrix is 1215391 x 1215619 (352.3 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:
gnfs,133,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5400000,5400000,27,27,51,51,2.5,2.5,60000
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.. 5661.55 BogoMIPS (lpj=2830779)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830450)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830462)
Total of 4 processors activated (22644.29 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 25, 2008 09:00:00 UTC 2008 年 2 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 5, 2010 15:31:23 UTC 2010 年 10 月 6 日 (水) 0 時 31 分 23 秒 (日本時間)
403e6880110Ignacio SantosOctober 5, 2010 15:31:23 UTC 2010 年 10 月 6 日 (水) 0 時 31 分 23 秒 (日本時間)
770Ignacio SantosJuly 12, 2011 18:52:51 UTC 2011 年 7 月 13 日 (水) 3 時 52 分 51 秒 (日本時間)
4511e6252 / 405732Ignacio SantosOctober 5, 2010 15:31:23 UTC 2010 年 10 月 6 日 (水) 0 時 31 分 23 秒 (日本時間)
220Ignacio SantosJuly 12, 2011 18:52:51 UTC 2011 年 7 月 13 日 (水) 3 時 52 分 51 秒 (日本時間)
5043e661 / 7462Ignacio SantosJuly 12, 2011 18:52:51 UTC 2011 年 7 月 13 日 (水) 3 時 52 分 51 秒 (日本時間)

4×10181+173

c175

name 名前Ignacio Santos
date 日付April 22, 2009 05:26:11 UTC 2009 年 4 月 22 日 (水) 14 時 26 分 11 秒 (日本時間)
composite number 合成数
2426981383050532361400098863086638563435741633027187834221881554935421362496427028345140294389201291954999639289891944114627786910306473748343509362899791334208138772853897723<175>
prime factors 素因数
22309717107372494315385593361862526662022588401333102253<56>
156122557936970418953523058188454015963068329714979720107<57>
696797723896822116787571000843431402872490055258855522222137813<63>
factorization results 素因数分解の結果
Number: 13339_181
N=2426981383050532361400098863086638563435741633027187834221881554935421362496427028345140294389201291954999639289891944114627786910306473748343509362899791334208138772853897723
  ( 175 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=22309717107372494315385593361862526662022588401333102253 (pp56)
 r2=156122557936970418953523058188454015963068329714979720107 (pp57)
 r3=696797723896822116787571000843431402872490055258855522222137813 (pp63)
Version: Msieve-1.39
Total time: 131.58 hours.
Scaled time: 228.81 units (timescale=1.739).
Factorization parameters were as follows:
n: 2426981383050532361400098863086638563435741633027187834221881554935421362496427028345140294389201291954999639289891944114627786910306473748343509362899791334208138772853897723
m: 1000000000000000000000000000000000000
deg: 5
c5: 40
c0: 17
skew: 0.84
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
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, 5900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1446798 x 1447043
Total sieving time: 131.58 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,100000
total time: 131.58 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 25, 2008 09:00:00 UTC 2008 年 2 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)

4×10183+173

c155

name 名前Justin Card
date 日付July 3, 2012 11:06:03 UTC 2012 年 7 月 3 日 (火) 20 時 6 分 3 秒 (日本時間)
composite number 合成数
16303998907133633775412200550628593952803509368752954359419254085915566253936648696677667528387419703577250467586701782537370427797464522485995753308539033<155>
prime factors 素因数
31593797242368280144416144836632248217<38>
516050627977996142880178514821126575637569761009517460434720605756938062742081247935140844811060118843728827803349249<117>
factorization results 素因数分解の結果
[2012-07-02 23:07:51 GMT] a: Factor found!  13339_183 / (probable) 31593797242368280144416144836632248217  B1: 3000000 sigma: 739548470 (found in step 2)
[2012-07-02 23:07:51 GMT] a:    Co-factor:  13339_183 / (Probable) 516050627977996142880178514821126575637569761009517460434720605756938062742081247935140844811060118843728827803349249
software ソフトウェア
gmp-ecm 6.2, ecmnet 2.7.3
execution environment 実行環境
Phenom X4 3 GHz, 4 GB RAM, Linux Mint 13

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 25, 2008 09:00:00 UTC 2008 年 2 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 5, 2010 16:22:15 UTC 2010 年 10 月 6 日 (水) 1 時 22 分 15 秒 (日本時間)
403e6110 / 2144Ignacio SantosOctober 5, 2010 16:22:15 UTC 2010 年 10 月 6 日 (水) 1 時 22 分 15 秒 (日本時間)
4511e632 / 4441Ignacio SantosOctober 5, 2010 16:22:15 UTC 2010 年 10 月 6 日 (水) 1 時 22 分 15 秒 (日本時間)

4×10185+173

c171

name 名前Dmitry Domanov
date 日付August 13, 2013 08:06:03 UTC 2013 年 8 月 13 日 (火) 17 時 6 分 3 秒 (日本時間)
composite number 合成数
231285634995072835275590283304591669801776250575214094106049985877533894401445143713823962557888223155645094181031943861715797384113390623568451608607610274026117871069897<171>
prime factors 素因数
35022449745540894918179971382669617193244780025967252897614853979847<68>
6603925101627718982057138763057658216751290787383467662302721706600586292046615934306616191352532679151<103>
factorization results 素因数分解の結果
N=231285634995072835275590283304591669801776250575214094106049985877533894401445143713823962557888223155645094181031943861715797384113390623568451608607610274026117871069897
  ( 171 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=35022449745540894918179971382669617193244780025967252897614853979847 (pp68)
 r2=6603925101627718982057138763057658216751290787383467662302721706600586292046615934306616191352532679151 (pp103)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 137.98 hours.
Scaled time: 265.60 units (timescale=1.925).
Factorization parameters were as follows:
n: 231285634995072835275590283304591669801776250575214094106049985877533894401445143713823962557888223155645094181031943861715797384113390623568451608607610274026117871069897
m: 10000000000000000000000000000000000000
deg: 5
c5: 4
c0: 17
skew: 1.34
# Murphy_E = 7.308e-11
type: snfs
lss: 1
rlim: 8700000
alim: 8700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 8700000/8700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4350000, 11150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1747368 x 1747600
Total sieving time: 134.51 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 2.96 hours.
Time per square root: 0.28 hours.
Prototype def-par.txt line would be:
snfs,185.000,5,0,0,0,0,0,0,0,0,8700000,8700000,28,28,54,54,2.5,2.5,100000
total time: 137.98 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 25, 2008 09:00:00 UTC 2008 年 2 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 5, 2010 19:08:36 UTC 2010 年 10 月 6 日 (水) 4 時 8 分 36 秒 (日本時間)
403e61110110Ignacio SantosOctober 5, 2010 19:08:36 UTC 2010 年 10 月 6 日 (水) 4 時 8 分 36 秒 (日本時間)
1000Dmitry DomanovMarch 14, 2013 16:09:04 UTC 2013 年 3 月 15 日 (金) 1 時 9 分 4 秒 (日本時間)
4511e6632 / 422032Ignacio SantosOctober 5, 2010 19:08:36 UTC 2010 年 10 月 6 日 (水) 4 時 8 分 36 秒 (日本時間)
600Dmitry DomanovApril 25, 2013 21:41:17 UTC 2013 年 4 月 26 日 (金) 6 時 41 分 17 秒 (日本時間)

4×10186+173

c184

name 名前Wataru Sakai
date 日付September 7, 2008 08:19:44 UTC 2008 年 9 月 7 日 (日) 17 時 19 分 44 秒 (日本時間)
composite number 合成数
1370332305584104145255224391915039397053785542994176087701267557382665296334361082562521411442274751627269612881123672490578965399109284001370332305584104145255224391915039397053785543<184>
prime factors 素因数
4683752657040481930352270796090095702982198572437623038900544234035807<70>
292571449844658244129724130403038430010264115229371023800613342811197195422433644669612330433068714444752149233049<114>
factorization results 素因数分解の結果
Number: 13339_186
N=1370332305584104145255224391915039397053785542994176087701267557382665296334361082562521411442274751627269612881123672490578965399109284001370332305584104145255224391915039397053785543
  ( 184 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=4683752657040481930352270796090095702982198572437623038900544234035807 (pp70)
 r2=292571449844658244129724130403038430010264115229371023800613342811197195422433644669612330433068714444752149233049 (pp114)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 739.89 hours.
Scaled time: 1489.40 units (timescale=2.013).
Factorization parameters were as follows:
n: 1370332305584104145255224391915039397053785542994176087701267557382665296334361082562521411442274751627269612881123672490578965399109284001370332305584104145255224391915039397053785543
m: 10000000000000000000000000000000000000
c5: 40
c0: 17
skew: 0.84
type: snfs
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3700000, 13600001)
Primes: RFBsize:501962, AFBsize:502686, largePrimes:6810292 encountered
Relations: rels:7291905, finalFF:1137529
Max relations in full relation-set: 32
Initial matrix: 1004714 x 1137529 with sparse part having weight 102564823.
Pruned matrix : 901497 x 906584 with weight 83116476.
Total sieving time: 730.37 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 9.13 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000
total time: 739.89 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 25, 2008 09:00:00 UTC 2008 年 2 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)

4×10187+173

c185

name 名前Wataru Sakai
date 日付October 30, 2008 12:43:55 UTC 2008 年 10 月 30 日 (木) 21 時 43 分 55 秒 (日本時間)
composite number 合成数
58737151248164464023494860499265785609397944199706314243759177679882525697503671071953010279001468428781204111600587371512481644640234948604992657856093979441997063142437591776798825257<185>
prime factors 素因数
68965476147814636902426765565516035764069141667886618893443389<62>
851689200583090792929308232980079439143509638878237547282829962931049006405070726814731704503101259053470178580894789150813<123>
factorization results 素因数分解の結果
Number: 13339_187
N=58737151248164464023494860499265785609397944199706314243759177679882525697503671071953010279001468428781204111600587371512481644640234948604992657856093979441997063142437591776798825257
  ( 185 digits)
SNFS difficulty: 187 digits.
Divisors found:
 r1=68965476147814636902426765565516035764069141667886618893443389 (pp62)
 r2=851689200583090792929308232980079439143509638878237547282829962931049006405070726814731704503101259053470178580894789150813 (pp123)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 1042.92 hours.
Scaled time: 2087.93 units (timescale=2.002).
Factorization parameters were as follows:
n: 58737151248164464023494860499265785609397944199706314243759177679882525697503671071953010279001468428781204111600587371512481644640234948604992657856093979441997063142437591776798825257
m: 20000000000000000000000000000000000000
c5: 25
c0: 34
skew: 1.06
type: snfsFactor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3700000, 18500001)
Primes: RFBsize:501962, AFBsize:503361, largePrimes:7202596 encountered
Relations: rels:7831073, finalFF:1219969
Max relations in full relation-set: 32
Initial matrix: 1005387 x 1219969 with sparse part having weight 139107803.
Pruned matrix : 846533 x 851623 with weight 122408733.
Total sieving time: 1030.97 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 11.53 hours.
Time per square root: 0.27 hours.
Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000
total time: 1042.92 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 25, 2008 09:00:00 UTC 2008 年 2 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)

4×10188+173

c151

name 名前Ignacio Santos
date 日付October 5, 2010 19:40:01 UTC 2010 年 10 月 6 日 (水) 4 時 40 分 1 秒 (日本時間)
composite number 合成数
2840496407848273271831903274019478565955395094073872924563380536641522053965923429236476298904169551038906311221986272219290858536400448707408751827401<151>
prime factors 素因数
37205730234467466905653127750177<32>
76345670141338374077803013185079905138490310419330407421350872681849766490041534758271713190504146266576930129340486313<119>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=710666354
Step 1 took 7051ms
********** Factor found in step 1: 37205730234467466905653127750177
Found probable prime factor of 32 digits: 37205730234467466905653127750177
Probable prime cofactor 76345670141338374077803013185079905138490310419330407421350872681849766490041534758271713190504146266576930129340486313 has 119 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 25, 2008 09:00:00 UTC 2008 年 2 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)

4×10189+173

c151

composite cofactor 合成数の残り
5326946913415247411984759806285820529714106430050402383504014654491426639128530412962867584858589690138264854955605332661948290741762876271038153987287<151>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 25, 2008 09:00:00 UTC 2008 年 2 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 5, 2010 20:54:40 UTC 2010 年 10 月 6 日 (水) 5 時 54 分 40 秒 (日本時間)
403e61110110Ignacio SantosOctober 5, 2010 20:54:40 UTC 2010 年 10 月 6 日 (水) 5 時 54 分 40 秒 (日本時間)
1000Dmitry DomanovMarch 14, 2013 16:09:12 UTC 2013 年 3 月 15 日 (金) 1 時 9 分 12 秒 (日本時間)
4511e61032 / 422032Ignacio SantosOctober 5, 2010 20:54:40 UTC 2010 年 10 月 6 日 (水) 5 時 54 分 40 秒 (日本時間)
1000Dmitry DomanovApril 30, 2013 10:39:51 UTC 2013 年 4 月 30 日 (火) 19 時 39 分 51 秒 (日本時間)

4×10191+173

c141

composite cofactor 合成数の残り
114092790024322036665919359655432984163277313962134547254404440195422458391584434451220692010515202678454628424122139839393927744958571074477<141>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 25, 2008 09:00:00 UTC 2008 年 2 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 5, 2010 21:53:44 UTC 2010 年 10 月 6 日 (水) 6 時 53 分 44 秒 (日本時間)
403e61110110Ignacio SantosOctober 5, 2010 21:53:44 UTC 2010 年 10 月 6 日 (水) 6 時 53 分 44 秒 (日本時間)
1000Dmitry DomanovMarch 14, 2013 16:09:22 UTC 2013 年 3 月 15 日 (金) 1 時 9 分 22 秒 (日本時間)
4511e61032 / 422032Ignacio SantosOctober 5, 2010 21:53:44 UTC 2010 年 10 月 6 日 (水) 6 時 53 分 44 秒 (日本時間)
1000Dmitry DomanovApril 30, 2013 10:40:06 UTC 2013 年 4 月 30 日 (火) 19 時 40 分 6 秒 (日本時間)

4×10193+173

c164

name 名前Dmitry Domanov
date 日付May 6, 2013 05:27:31 UTC 2013 年 5 月 6 日 (月) 14 時 27 分 31 秒 (日本時間)
composite number 合成数
73373607782520436404117589961308590755566163494982049065036282396204281700921932458456905720962855613677892741500537063752746506163059307806482470623856014465140079<164>
prime factors 素因数
610712887518312497646863005789961048302005163<45>
120144194239425307902682604048844575111760428389868815197415302000997081000361525368303064562988582505001218515399321933<120>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2218267009
Step 1 took 74036ms
Step 2 took 26221ms
********** Factor found in step 2: 610712887518312497646863005789961048302005163
Found probable prime factor of 45 digits: 610712887518312497646863005789961048302005163

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 25, 2008 09:00:00 UTC 2008 年 2 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 5, 2010 22:51:46 UTC 2010 年 10 月 6 日 (水) 7 時 51 分 46 秒 (日本時間)
403e61110110Ignacio SantosOctober 5, 2010 22:51:46 UTC 2010 年 10 月 6 日 (水) 7 時 51 分 46 秒 (日本時間)
1000Dmitry DomanovMarch 14, 2013 16:09:31 UTC 2013 年 3 月 15 日 (金) 1 時 9 分 31 秒 (日本時間)
4511e61032 / 422032Ignacio SantosOctober 5, 2010 22:51:46 UTC 2010 年 10 月 6 日 (水) 7 時 51 分 46 秒 (日本時間)
1000Dmitry DomanovApril 30, 2013 10:40:17 UTC 2013 年 4 月 30 日 (火) 19 時 40 分 17 秒 (日本時間)

4×10196+173

c195

name 名前Serge Batalov
date 日付October 22, 2008 05:14:41 UTC 2008 年 10 月 22 日 (水) 14 時 14 分 41 秒 (日本時間)
composite number 合成数
124610591900311526479750778816199376947040498442367601246105919003115264797507788161993769470404984423676012461059190031152647975077881619937694704049844236760124610591900311526479750778816199377<195>
prime factors 素因数
641296994832521105786533002959<30>
194310269507585008333310325816908802409995304643133352971273908773477838968564150543240097299719754825793275239136337188618271630275071223132887746105578377626129503<165>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1275197237
Step 1 took 27673ms
Step 2 took 15717ms
********** Factor found in step 2: 641296994832521105786533002959
Found probable prime factor of 30 digits: 641296994832521105786533002959
Probable prime cofactor 194310269507585008333310325816908802409995304643133352971273908773477838968564150543240097299719754825793275239136337188618271630275071223132887746105578377626129503 has 165 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 25, 2008 09:00:00 UTC 2008 年 2 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)

4×10197+173

c198

name 名前Jo Yeong Uk
date 日付February 26, 2008 13:02:24 UTC 2008 年 2 月 26 日 (火) 22 時 2 分 24 秒 (日本時間)
composite number 合成数
133333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333339<198>
prime factors 素因数
30911517865801875999507572028613382077670753<44>
composite cofactor 合成数の残り
4313386806567757392671601783903255857588579313081814644131577195810056098206845332856572255132864229461765584994838840653666401244846784162380204100450363<154>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM]
Input number is 133333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333339 (198 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2369543653
Step 1 took 31229ms
Step 2 took 14462ms
********** Factor found in step 2: 30911517865801875999507572028613382077670753
Found probable prime factor of 44 digits: 30911517865801875999507572028613382077670753
Composite cofactor 4313386806567757392671601783903255857588579313081814644131577195810056098206845332856572255132864229461765584994838840653666401244846784162380204100450363 has 154 digits
execution environment 実行環境
Core 2 Quad Q6600

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 25, 2008 09:00:00 UTC 2008 年 2 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 5, 2010 23:43:11 UTC 2010 年 10 月 6 日 (水) 8 時 43 分 11 秒 (日本時間)
403e61110110Ignacio SantosOctober 5, 2010 23:43:11 UTC 2010 年 10 月 6 日 (水) 8 時 43 分 11 秒 (日本時間)
1000Dmitry DomanovMarch 14, 2013 16:09:40 UTC 2013 年 3 月 15 日 (金) 1 時 9 分 40 秒 (日本時間)
4511e61032 / 422032Ignacio SantosOctober 5, 2010 23:43:11 UTC 2010 年 10 月 6 日 (水) 8 時 43 分 11 秒 (日本時間)
1000Dmitry DomanovApril 30, 2013 10:40:31 UTC 2013 年 4 月 30 日 (火) 19 時 40 分 31 秒 (日本時間)

4×10199+173

c173

composite cofactor 合成数の残り
42350034433672725655250720785412715265388834317007429683859941745000960914994051738222175428142645516409696778019960033666385214959385240579696057016248337648704133213498449<173>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 25, 2008 09:00:00 UTC 2008 年 2 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 6, 2010 05:44:01 UTC 2010 年 10 月 6 日 (水) 14 時 44 分 1 秒 (日本時間)
403e61110110Ignacio SantosOctober 6, 2010 05:44:01 UTC 2010 年 10 月 6 日 (水) 14 時 44 分 1 秒 (日本時間)
1000Dmitry DomanovMarch 14, 2013 16:09:49 UTC 2013 年 3 月 15 日 (金) 1 時 9 分 49 秒 (日本時間)
4511e6832 / 422032Ignacio SantosOctober 6, 2010 05:44:01 UTC 2010 年 10 月 6 日 (水) 14 時 44 分 1 秒 (日本時間)
800Dmitry DomanovApril 24, 2013 21:41:00 UTC 2013 年 4 月 25 日 (木) 6 時 41 分 0 秒 (日本時間)

4×10200+173

c191

name 名前Serge Batalov
date 日付September 10, 2008 02:27:34 UTC 2008 年 9 月 10 日 (水) 11 時 27 分 34 秒 (日本時間)
composite number 合成数
21134420231306468499665468836361985917199862080556631715390429044590492823388699832878837599841062439114941801425532780731467902791135367598072512491378479428243314191399139650204285778838461<191>
prime factors 素因数
310858393336630686720841637998697<33>
67987291591061721286953508434298743969287676084869733019950591260403028836697158046529832913321391635730918226951318222021514833120320272626786443796812828213<158>
factorization results 素因数分解の結果
Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=4007235084
Step 1 took 7252ms
Step 2 took 5488ms
********** Factor found in step 2: 310858393336630686720841637998697
Found probable prime factor of 33 digits: 310858393336630686720841637998697
Probable prime cofactor 67987291591061721286953508434298743969287676084869733019950591260403028836697158046529832913321391635730918226951318222021514833120320272626786443796812828213 has 158 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 25, 2008 09:00:00 UTC 2008 年 2 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)

4×10201+173

c164

composite cofactor 合成数の残り
67540420003938294677238540482124497343720488084065211566271051202586729964685223597131668593175161793344466074640625743961069208165946424454733481932568849312416237<164>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 25, 2013 15:00:00 UTC 2013 年 2 月 26 日 (火) 0 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 27, 2013 01:01:29 UTC 2013 年 2 月 27 日 (水) 10 時 1 分 29 秒 (日本時間)
403e62700Warut RoonguthaiFebruary 27, 2013 19:20:53 UTC 2013 年 2 月 28 日 (木) 4 時 20 分 53 秒 (日本時間)
4511e61000 / 3818Dmitry DomanovMay 21, 2013 13:37:25 UTC 2013 年 5 月 21 日 (火) 22 時 37 分 25 秒 (日本時間)

4×10202+173

c183

composite cofactor 合成数の残り
257830394765185389419203610981730852433380928243251310495271088255455056217728180682031384015570130333233267418874519347457363867416326771826826714897629720675309348044996371371344521<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 25, 2013 15:00:00 UTC 2013 年 2 月 26 日 (火) 0 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 27, 2013 01:01:39 UTC 2013 年 2 月 27 日 (水) 10 時 1 分 39 秒 (日本時間)
403e61000Dmitry DomanovMarch 14, 2013 16:10:05 UTC 2013 年 3 月 15 日 (金) 1 時 10 分 5 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovApril 30, 2013 10:40:57 UTC 2013 年 4 月 30 日 (火) 19 時 40 分 57 秒 (日本時間)

4×10203+173

c188

composite cofactor 合成数の残り
30213788538084306203590446162609299690387890024293661462170130352661915867975291771204215712559883598119103161478295620503684802911446053125549176595642076520323619425758207599050293556959<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 25, 2013 15:00:00 UTC 2013 年 2 月 26 日 (火) 0 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 27, 2013 01:01:46 UTC 2013 年 2 月 27 日 (水) 10 時 1 分 46 秒 (日本時間)
403e61000Dmitry DomanovMarch 14, 2013 16:10:14 UTC 2013 年 3 月 15 日 (金) 1 時 10 分 14 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovApril 30, 2013 10:41:20 UTC 2013 年 4 月 30 日 (火) 19 時 41 分 20 秒 (日本時間)

4×10205+173

c192

composite cofactor 合成数の残り
408132302638119556766527197900148486547451842622387402352623479272149001022440378417680813587978432148618296182981735734453944088633082955666966798656580162732999066720333121164421714239325829<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 25, 2013 15:00:00 UTC 2013 年 2 月 26 日 (火) 0 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 27, 2013 01:01:59 UTC 2013 年 2 月 27 日 (水) 10 時 1 分 59 秒 (日本時間)
403e61000Dmitry DomanovMarch 14, 2013 16:10:22 UTC 2013 年 3 月 15 日 (金) 1 時 10 分 22 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovApril 30, 2013 10:41:35 UTC 2013 年 4 月 30 日 (火) 19 時 41 分 35 秒 (日本時間)

4×10206+173

c178

name 名前Warut Roonguthai
date 日付February 25, 2013 20:46:05 UTC 2013 年 2 月 26 日 (火) 5 時 46 分 5 秒 (日本時間)
composite number 合成数
4049025123580446721444497156553969589084956201390682145443641220596648119475123877824197669667304029666745666895754562609013161615509504248930636028970023854854946899516584303901<178>
prime factors 素因数
1591216537468408085863154474693451269633<40>
2544609755013205306343577305914764532507204916236375176218385323839225084275149242620510800513119335079854926332100062943906156365389901597<139>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=670385536
Step 1 took 10655ms
Step 2 took 6412ms
********** Factor found in step 2: 1591216537468408085863154474693451269633
Found probable prime factor of 40 digits: 1591216537468408085863154474693451269633
Probable prime cofactor 2544609755013205306343577305914764532507204916236375176218385323839225084275149242620510800513119335079854926332100062943906156365389901597 has 139 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 25, 2013 15:00:00 UTC 2013 年 2 月 26 日 (火) 0 時 0 分 0 秒 (日本時間)

4×10207+173

c183

composite cofactor 合成数の残り
928039130376997294075273676756416183321451093169220687446225877160602049119530611652403097225967735963517500042558373605611161394481462223571512860662364498136994363760832881036693409<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 25, 2013 15:00:00 UTC 2013 年 2 月 26 日 (火) 0 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 27, 2013 01:03:33 UTC 2013 年 2 月 27 日 (水) 10 時 3 分 33 秒 (日本時間)
403e61000Dmitry DomanovMarch 14, 2013 16:10:37 UTC 2013 年 3 月 15 日 (金) 1 時 10 分 37 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovApril 30, 2013 10:41:48 UTC 2013 年 4 月 30 日 (火) 19 時 41 分 48 秒 (日本時間)

4×10210+173

c151

name 名前Warut Roonguthai
date 日付February 26, 2013 05:47:04 UTC 2013 年 2 月 26 日 (火) 14 時 47 分 4 秒 (日本時間)
composite number 合成数
8628077362214345978977066509866657367942702707455709678507739620789086622635732776530559011490216762299383718814703511593475091815831895492988652578373<151>
prime factors 素因数
1315527919751198638420237031292533<34>
6558642528731845668650262762509381823771258487097692858224969598644754075983903409435466456399674627259297816061390481<118>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1939995436
Step 1 took 6193ms
Step 2 took 4836ms
********** Factor found in step 2: 1315527919751198638420237031292533
Found probable prime factor of 34 digits: 1315527919751198638420237031292533
Probable prime cofactor 6558642528731845668650262762509381823771258487097692858224969598644754075983903409435466456399674627259297816061390481 has 118 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 25, 2013 15:00:00 UTC 2013 年 2 月 26 日 (火) 0 時 0 分 0 秒 (日本時間)

4×10213+173

c179

name 名前Warut Roonguthai
date 日付February 26, 2013 01:14:49 UTC 2013 年 2 月 26 日 (火) 10 時 14 分 49 秒 (日本時間)
composite number 合成数
66269061015125000010896436810483792459089649525685288664020903458428653922509544317539945061541321847241702777770821093667190385107702168851826018530671583002856536339954564692709<179>
prime factors 素因数
44905063312900859885025864971281993<35>
composite cofactor 合成数の残り
1475759215689301503451017158486210971220728975652718561234543383900350783096850100830309229149456323878181816188972909019816653647482100132167613<145>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4072034569
Step 1 took 10561ms
Step 2 took 7722ms
********** Factor found in step 2: 44905063312900859885025864971281993
Found probable prime factor of 35 digits: 44905063312900859885025864971281993
Composite cofactor 1475759215689301503451017158486210971220728975652718561234543383900350783096850100830309229149456323878181816188972909019816653647482100132167613 has 145 digits
software ソフトウェア
GMP-ECM 6.3

c145

name 名前Warut Roonguthai
date 日付February 26, 2013 16:38:53 UTC 2013 年 2 月 27 日 (水) 1 時 38 分 53 秒 (日本時間)
composite number 合成数
1475759215689301503451017158486210971220728975652718561234543383900350783096850100830309229149456323878181816188972909019816653647482100132167613<145>
prime factors 素因数
684122461703760350145416694549625549<36>
2157156500919475422756899141132674000092729892246350741224785479640615174864261190295509611788608818720962737<109>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1443764215
Step 1 took 6505ms
Step 2 took 5023ms
********** Factor found in step 2: 684122461703760350145416694549625549
Found probable prime factor of 36 digits: 684122461703760350145416694549625549
Probable prime cofactor 2157156500919475422756899141132674000092729892246350741224785479640615174864261190295509611788608818720962737 has 109 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 25, 2013 15:00:00 UTC 2013 年 2 月 26 日 (火) 0 時 0 分 0 秒 (日本時間)

4×10214+173

c157

name 名前Warut Roonguthai
date 日付February 26, 2013 19:54:38 UTC 2013 年 2 月 27 日 (水) 4 時 54 分 38 秒 (日本時間)
composite number 合成数
7911421088803800175043365026083141083758209826920495870995389208754651736825645311141879733461756379081422035708822675256776158043674754578041597270741353943<157>
prime factors 素因数
22193339528968567029996206999385331<35>
427891191018827956221289051171705963<36>
424325237268775578122512850851554069747179<42>
1963358625798350755175890543905903401819020789<46>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1494877494
Step 1 took 9594ms
Step 2 took 6895ms
********** Factor found in step 2: 22193339528968567029996206999385331
Found probable prime factor of 35 digits: 22193339528968567029996206999385331
Composite cofactor 356477270060108100569410182915313603414548011209760545650751376543634676917754538825639344750380354622470179825468809229453 has 123 digits

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3359162567
Step 1 took 4461ms
Step 2 took 3620ms
********** Factor found in step 2: 427891191018827956221289051171705963
Found probable prime factor of 36 digits: 427891191018827956221289051171705963
Composite cofactor 833102614735582348109912829888613343767070687383026236802296378714636802336274575104231 has 87 digits

starting SIQS on c87: 833102614735582348109912829888613343767070687383026236802296378714636802336274575104231

==== sieving in progress ( 4 threads):   59968 relations needed ====
====            Press ctrl-c to abort and save state            ====
60121 rels found: 18680 full + 41441 from 658608 partial, (1252.92 rels/sec)

SIQS elapsed time = 551.4114 seconds.

***factors found***

PRP46 = 1963358625798350755175890543905903401819020789
PRP42 = 424325237268775578122512850851554069747179
software ソフトウェア
GMP-ECM 6.3, YAFU 1.24

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 25, 2013 15:00:00 UTC 2013 年 2 月 26 日 (火) 0 時 0 分 0 秒 (日本時間)

4×10215+173

c213

name 名前Bob Backstrom
date 日付October 7, 2017 11:31:17 UTC 2017 年 10 月 7 日 (土) 20 時 31 分 17 秒 (日本時間)
composite number 合成数
287976961843052555795536357091432685385169186465082793376529877609791216702663786897048236141108711303095752339812814974802015838732901367890568754499640028797696184305255579553635709143268538516918646508279337653<213>
prime factors 素因数
880314681967236545077521810598978228062616030775007018266211580142953538928227959349<84>
327129568257922626194441406597396599703416154753780213399794581501963223712097385343431310912193084617590850204266687464359239297<129>
factorization results 素因数分解の結果
Number: n
N=287976961843052555795536357091432685385169186465082793376529877609791216702663786897048236141108711303095752339812814974802015838732901367890568754499640028797696184305255579553635709143268538516918646508279337653
  ( 213 digits)
SNFS difficulty: 216 digits.
Divisors found:

Sat Oct  7 22:20:08 2017  p84 factor: 880314681967236545077521810598978228062616030775007018266211580142953538928227959349
Sat Oct  7 22:20:08 2017  p129 factor: 327129568257922626194441406597396599703416154753780213399794581501963223712097385343431310912193084617590850204266687464359239297
Sat Oct  7 22:20:08 2017  elapsed time 06:49:22 (Msieve 1.53 - dependency 3)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.118).
Factorization parameters were as follows:
#
# 4x10^215+17 13(214)9
#
n: 287976961843052555795536357091432685385169186465082793376529877609791216702663786897048236141108711303095752339812814974802015838732901367890568754499640028797696184305255579553635709143268538516918646508279337653
m: 1000000000000000000000000000000000000
deg: 6
c6: 2
c0: 85
skew: 1.87
# Murphy_E = 2.858e-12
type: snfs
lss: 1
rlim: 28000000
alim: 28000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 28000000/28000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 67600000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 12102585 hash collisions in 65807723 relations (54675643 unique)
Msieve: matrix is 4171648 x 4171873 (1185.1 MB)

Sieving start time: 2017/10/06 02:20:57
Sieving end time  : 2017/10/07 15:28:57

Total sieving time: 37hrs 8min 0secs.

Total relation processing time: 6hrs 10min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 19min 31sec.

Prototype def-par.txt line would be:
snfs,216,6,0,0,0,0,0,0,0,0,28000000,28000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.178577] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16306368K/16703460K available (9091K kernel code, 1667K rwdata, 3820K rodata, 2232K init, 2364K bss, 397092K reserved, 0K cma-reserved)
[    0.215024] x86/mm: Memory block size: 128MB
[    0.000018] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.38 BogoMIPS (lpj=11976772)
[    0.212835] smpboot: Total of 16 processors activated (95814.17 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 25, 2013 15:00:00 UTC 2013 年 2 月 26 日 (火) 0 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 27, 2013 01:08:26 UTC 2013 年 2 月 27 日 (水) 10 時 8 分 26 秒 (日本時間)
403e61000Dmitry DomanovMarch 14, 2013 16:10:49 UTC 2013 年 3 月 15 日 (金) 1 時 10 分 49 秒 (日本時間)
4511e649501000Dmitry DomanovApril 30, 2013 10:42:05 UTC 2013 年 4 月 30 日 (火) 19 時 42 分 5 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:14:25 UTC 2013 年 11 月 9 日 (土) 2 時 14 分 25 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:27:39 UTC 2014 年 1 月 6 日 (月) 11 時 27 分 39 秒 (日本時間)
1800Serge BatalovMay 24, 2014 09:17:14 UTC 2014 年 5 月 24 日 (土) 18 時 17 分 14 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:28 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 28 秒 (日本時間)

4×10216+173

c210

name 名前Warut Roonguthai
date 日付February 26, 2013 05:49:08 UTC 2013 年 2 月 26 日 (火) 14 時 49 分 8 秒 (日本時間)
composite number 合成数
806224537161609925591521904012115942344464673961789391173494078381552615120297770970555269009917972700027834902145504582681047293736018302909442642868530778730264883056123104037028280542758420662567418007468461<210>
prime factors 素因数
45506960779488370139086950232737142957<38>
composite cofactor 合成数の残り
17716510251438378330378360676753159541825229491740209882627041041003530762820140223360727427744175570190737402607704994427658328819265709069331284888282956012776245650031873<173>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2876152275
Step 1 took 12215ms
Step 2 took 7285ms
********** Factor found in step 2: 45506960779488370139086950232737142957
Found probable prime factor of 38 digits: 45506960779488370139086950232737142957
Composite cofactor 17716510251438378330378360676753159541825229491740209882627041041003530762820140223360727427744175570190737402607704994427658328819265709069331284888282956012776245650031873 has 173 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 25, 2013 15:00:00 UTC 2013 年 2 月 26 日 (火) 0 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 27, 2013 01:08:59 UTC 2013 年 2 月 27 日 (水) 10 時 8 分 59 秒 (日本時間)
403e61000Dmitry DomanovMarch 14, 2013 16:10:57 UTC 2013 年 3 月 15 日 (金) 1 時 10 分 57 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovApril 22, 2013 15:27:08 UTC 2013 年 4 月 23 日 (火) 0 時 27 分 8 秒 (日本時間)

4×10218+173

c176

name 名前Dmitry Domanov
date 日付April 23, 2013 05:06:36 UTC 2013 年 4 月 23 日 (火) 14 時 6 分 36 秒 (日本時間)
composite number 合成数
11729928800420713199843412546477960320556255074799900843465955569122628777117245089792148188889872661732683009671620980376615968481210580059010302073097568405405845974801763987<176>
prime factors 素因数
1190382690154584465838512609284824119220039<43>
composite cofactor 合成数の残り
9853914121430521766881118762609447747053245635715713619430325755334308371898991918812311681630256775090480506473553693033069049269333<133>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3332573258
Step 1 took 88767ms
Step 2 took 36198ms
********** Factor found in step 2: 1190382690154584465838512609284824119220039
Found probable prime factor of 43 digits: 1190382690154584465838512609284824119220039

c133

name 名前Erik Branger
date 日付June 27, 2013 06:45:47 UTC 2013 年 6 月 27 日 (木) 15 時 45 分 47 秒 (日本時間)
composite number 合成数
9853914121430521766881118762609447747053245635715713619430325755334308371898991918812311681630256775090480506473553693033069049269333<133>
prime factors 素因数
2169417881214597366886174931032831188432714431<46>
4542192726794335465248024947777241718576878824905035284540119810206396537171918294884843<88>
factorization results 素因数分解の結果
Number: 13339_218
N = 9853914121430521766881118762609447747053245635715713619430325755334308371898991918812311681630256775090480506473553693033069049269333 (133 digits)
Divisors found:
r1=2169417881214597366886174931032831188432714431 (pp46)
r2=4542192726794335465248024947777241718576878824905035284540119810206396537171918294884843 (pp88)
Version: Msieve v. 1.51 (SVN 845)
Total time: 111.17 hours.
Factorization parameters were as follows:
# Murphy_E = 5.709e-11, selected by Dmitry Domanov
n: 9853914121430521766881118762609447747053245635715713619430325755334308371898991918812311681630256775090480506473553693033069049269333
Y0: -42633562593145193968588855
Y1: 190837801667423
c0: -2861525833686651232537970917824
c1: 147962461930660481960278678
c2: -1407687775808248023519
c3: -24710685436508618
c4: 30459615238
c5: 69960
skew: 209856.5
type: gnfs
# selected mechanically
rlim: 11800000
alim: 11800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 11800000/11800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19781898
Relations: 3088120 relations
Pruned matrix : 1805868 x 1806116
Polynomial selection time: 0.00 hours.
Total sieving time: 106.99 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.26 hours.
time per square root: 1.80 hours.
Prototype def-par.txt line would be: gnfs,132,5,65,2000,1e-05,0.28,250,20,50000,3600,11800000,11800000,28,28,54,54,2.6,2.6,100000
total time: 111.17 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 25, 2013 15:00:00 UTC 2013 年 2 月 26 日 (火) 0 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 27, 2013 01:08:46 UTC 2013 年 2 月 27 日 (水) 10 時 8 分 46 秒 (日本時間)
403e61000Dmitry DomanovMarch 14, 2013 16:11:06 UTC 2013 年 3 月 15 日 (金) 1 時 11 分 6 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovApril 22, 2013 15:27:21 UTC 2013 年 4 月 23 日 (火) 0 時 27 分 21 秒 (日本時間)

4×10220+173

c211

composite cofactor 合成数の残り
2760851795491462854149162206267118432493522408244843200071657466615693639745384841197710056176420175142409586082947858080815669908609104291711972874449997418593218021249138384830277781970763924434697582040689771<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 25, 2013 15:00:00 UTC 2013 年 2 月 26 日 (火) 0 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 27, 2013 01:09:15 UTC 2013 年 2 月 27 日 (水) 10 時 9 分 15 秒 (日本時間)
403e61000Dmitry DomanovMarch 14, 2013 16:11:16 UTC 2013 年 3 月 15 日 (金) 1 時 11 分 16 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovApril 30, 2013 10:42:36 UTC 2013 年 4 月 30 日 (火) 19 時 42 分 36 秒 (日本時間)

4×10221+173

c198

composite cofactor 合成数の残り
604632560380939888482114813561795070588572601952021352657364905930439031489378681249985549546823453239790300502338344765045430420585548618464704708963020884957672678344220104486465178862741850479497<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 25, 2013 15:00:00 UTC 2013 年 2 月 26 日 (火) 0 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 27, 2013 01:09:25 UTC 2013 年 2 月 27 日 (水) 10 時 9 分 25 秒 (日本時間)
403e61000Dmitry DomanovMarch 14, 2013 16:11:25 UTC 2013 年 3 月 15 日 (金) 1 時 11 分 25 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovApril 30, 2013 10:42:50 UTC 2013 年 4 月 30 日 (火) 19 時 42 分 50 秒 (日本時間)

4×10222+173

c189

composite cofactor 合成数の残り
578996901001666330216932063410797094873653188852853481332356146968748420848743738492218212978910414927858740318173064553940323832714361490788302407138362495940040822239157938400396567150157<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 25, 2013 15:00:00 UTC 2013 年 2 月 26 日 (火) 0 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 27, 2013 01:09:31 UTC 2013 年 2 月 27 日 (水) 10 時 9 分 31 秒 (日本時間)
403e61000Dmitry DomanovMarch 14, 2013 16:11:33 UTC 2013 年 3 月 15 日 (金) 1 時 11 分 33 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovApril 22, 2013 15:27:52 UTC 2013 年 4 月 23 日 (火) 0 時 27 分 52 秒 (日本時間)

4×10223+173

c215

composite cofactor 合成数の残り
50377689028326607540312595147317970992075777172735855150521916447743806922388425732998618425883338236908667016789086529085172741462187310769199163043714228322223170036459882663737586920106089720414795634573246270057<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 25, 2013 15:00:00 UTC 2013 年 2 月 26 日 (火) 0 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 27, 2013 01:09:38 UTC 2013 年 2 月 27 日 (水) 10 時 9 分 38 秒 (日本時間)
403e61000Dmitry DomanovMarch 14, 2013 16:11:42 UTC 2013 年 3 月 15 日 (金) 1 時 11 分 42 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovApril 30, 2013 10:43:14 UTC 2013 年 4 月 30 日 (火) 19 時 43 分 14 秒 (日本時間)

4×10224+173

c165

name 名前Warut Roonguthai
date 日付February 28, 2013 00:07:18 UTC 2013 年 2 月 28 日 (木) 9 時 7 分 18 秒 (日本時間)
composite number 合成数
348012942129580446093520605409169756078100822650522404895095418079192134895181078491159074973097419005241939170509986709811401320301446834799686106891908119375327197<165>
prime factors 素因数
38131919551035411952471249802598690323<38>
9126551881653980495466746013921884019128365653678387538209716512710462214973006510601188574357504713331939575769040922687580239<127>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3551303674
Step 1 took 19360ms
Step 2 took 11388ms
********** Factor found in step 2: 38131919551035411952471249802598690323
Found probable prime factor of 38 digits: 38131919551035411952471249802598690323
Probable prime cofactor 9126551881653980495466746013921884019128365653678387538209716512710462214973006510601188574357504713331939575769040922687580239 has 127 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 25, 2013 15:00:00 UTC 2013 年 2 月 26 日 (火) 0 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 27, 2013 01:09:47 UTC 2013 年 2 月 27 日 (水) 10 時 9 分 47 秒 (日本時間)

4×10225+173

c190

composite cofactor 合成数の残り
1298958591618645575980885208344857215381812079899331434176913650559394606839741597193058768317863481627310117326301869698110972221256541315961435858262566319379290252226819287928592959580279<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 25, 2013 15:00:00 UTC 2013 年 2 月 26 日 (火) 0 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 27, 2013 01:10:07 UTC 2013 年 2 月 27 日 (水) 10 時 10 分 7 秒 (日本時間)
403e61000Dmitry DomanovMarch 14, 2013 16:11:51 UTC 2013 年 3 月 15 日 (金) 1 時 11 分 51 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovApril 30, 2013 10:43:26 UTC 2013 年 4 月 30 日 (火) 19 時 43 分 26 秒 (日本時間)

4×10226+173

c216

name 名前Warut Roonguthai
date 日付February 25, 2013 23:25:25 UTC 2013 年 2 月 26 日 (火) 8 時 25 分 25 秒 (日本時間)
composite number 合成数
108630955448891821072439953153018544513975107919775944989830009506121400538932519588012345705479171547736747318468083931889125898000108754973979180048419967304225535688135319487601732557197427648936474064035857791899<216>
prime factors 素因数
218793315539956981733714541967<30>
496500339513586127249452115149184103662034456925019938650660515552739531167850881862975632201948963228404895189980206112085138787827686713406853609968962330992388579997358630829255193397<186>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3840353110
Step 1 took 14103ms
Step 2 took 7909ms
********** Factor found in step 2: 218793315539956981733714541967
Found probable prime factor of 30 digits: 218793315539956981733714541967
Probable prime cofactor 496500339513586127249452115149184103662034456925019938650660515552739531167850881862975632201948963228404895189980206112085138787827686713406853609968962330992388579997358630829255193397 has 186 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 25, 2013 15:00:00 UTC 2013 年 2 月 26 日 (火) 0 時 0 分 0 秒 (日本時間)

4×10227+173

c167

composite cofactor 合成数の残り
50504081081307048504075103448851552652365404306061751822627693012807824191406634664138404429287299330386132061050385880191434311235805125844048583572971564951259605219<167>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 25, 2013 15:00:00 UTC 2013 年 2 月 26 日 (火) 0 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 27, 2013 01:10:13 UTC 2013 年 2 月 27 日 (水) 10 時 10 分 13 秒 (日本時間)
403e62500Warut RoonguthaiFebruary 28, 2013 05:37:38 UTC 2013 年 2 月 28 日 (木) 14 時 37 分 38 秒 (日本時間)
4511e62000 / 38621000Dmitry DomanovApril 22, 2013 15:28:20 UTC 2013 年 4 月 23 日 (火) 0 時 28 分 20 秒 (日本時間)
1000Dmitry DomanovMay 21, 2013 13:38:12 UTC 2013 年 5 月 21 日 (火) 22 時 38 分 12 秒 (日本時間)

4×10228+173

c196

composite cofactor 合成数の残り
9596709167122685938276742703384425480125841242758408348017396421125171263057261004547671862676781287280432780930223533687834418733311012557828169303209429864563457026883506269419927578552421324771<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 25, 2013 15:00:00 UTC 2013 年 2 月 26 日 (火) 0 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 27, 2013 01:10:19 UTC 2013 年 2 月 27 日 (水) 10 時 10 分 19 秒 (日本時間)
403e61000Dmitry DomanovMarch 14, 2013 16:12:07 UTC 2013 年 3 月 15 日 (金) 1 時 12 分 7 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovApril 30, 2013 10:43:43 UTC 2013 年 4 月 30 日 (火) 19 時 43 分 43 秒 (日本時間)

4×10229+173

c215

composite cofactor 合成数の残り
97110345927202283164118463468719786328974863262339196410190551120447353547420290101098123357043206995734185303247227322493529623803145408527281965376366831255109759781322129794090878248654275931973916129223981463911<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 25, 2013 15:00:00 UTC 2013 年 2 月 26 日 (火) 0 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 27, 2013 01:10:27 UTC 2013 年 2 月 27 日 (水) 10 時 10 分 27 秒 (日本時間)
403e61000Dmitry DomanovMarch 14, 2013 16:12:18 UTC 2013 年 3 月 15 日 (金) 1 時 12 分 18 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovApril 30, 2013 10:43:54 UTC 2013 年 4 月 30 日 (火) 19 時 43 分 54 秒 (日本時間)

4×10230+173

c212

composite cofactor 合成数の残り
31700882205756382636198715790355963067957888636861280403898156661052049800856528036508489416342283922924066469086838328716325821116018770537737891581588810956361965684202504047418664878744803236536136596554681461<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 25, 2013 15:00:00 UTC 2013 年 2 月 26 日 (火) 0 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 27, 2013 01:10:42 UTC 2013 年 2 月 27 日 (水) 10 時 10 分 42 秒 (日本時間)
403e61000Dmitry DomanovMarch 14, 2013 16:12:27 UTC 2013 年 3 月 15 日 (金) 1 時 12 分 27 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovApril 30, 2013 10:44:07 UTC 2013 年 4 月 30 日 (火) 19 時 44 分 7 秒 (日本時間)

4×10231+173

c187

composite cofactor 合成数の残り
3150358173667033421805673968705596225739898487757703762890716922534729354419712497161309291422239944927257028883947600999637390194332391409806724279472769554108712108259586907867643689591<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 25, 2013 15:00:00 UTC 2013 年 2 月 26 日 (火) 0 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 27, 2013 01:10:49 UTC 2013 年 2 月 27 日 (水) 10 時 10 分 49 秒 (日本時間)
403e61000Dmitry DomanovMarch 14, 2013 16:12:35 UTC 2013 年 3 月 15 日 (金) 1 時 12 分 35 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovApril 22, 2013 15:28:50 UTC 2013 年 4 月 23 日 (火) 0 時 28 分 50 秒 (日本時間)

4×10232+173

c217

composite cofactor 合成数の残り
2497796605250346416744113433105309546614154130625096760606100297443341716333905812366358362688322529699766069294860977076220300001047807584742622475865736936127558671596151237337518478418749260785457763238131693548809<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 25, 2013 15:00:00 UTC 2013 年 2 月 26 日 (火) 0 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 27, 2013 01:10:57 UTC 2013 年 2 月 27 日 (水) 10 時 10 分 57 秒 (日本時間)
403e61000Dmitry DomanovMarch 14, 2013 16:12:43 UTC 2013 年 3 月 15 日 (金) 1 時 12 分 43 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovApril 30, 2013 10:44:28 UTC 2013 年 4 月 30 日 (火) 19 時 44 分 28 秒 (日本時間)

4×10233+173

c198

composite cofactor 合成数の残り
720196044215441189525480065781629163437215146433400050840337253091772761678352892174514320621296014447822209098474852504626949986682259770289674445450752003313289057328142899702176744024076458544109<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 25, 2013 15:00:00 UTC 2013 年 2 月 26 日 (火) 0 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 27, 2013 01:11:03 UTC 2013 年 2 月 27 日 (水) 10 時 11 分 3 秒 (日本時間)
403e61000Dmitry DomanovMarch 14, 2013 16:12:52 UTC 2013 年 3 月 15 日 (金) 1 時 12 分 52 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovApril 30, 2013 10:44:39 UTC 2013 年 4 月 30 日 (火) 19 時 44 分 39 秒 (日本時間)

4×10234+173

c230

name 名前Warut Roonguthai
date 日付February 26, 2013 15:14:39 UTC 2013 年 2 月 27 日 (水) 0 時 14 分 39 秒 (日本時間)
composite number 合成数
87414497694442623309075810223125505365064795996416005594527852444327891780851854280032343364146943770624358049782556436985073974518673922069975305404401319958915186083611967044734369195131012478419545881684477370571909351165890863<230>
prime factors 素因数
982947940843476676377651778898755205321<39>
composite cofactor 合成数の残り
88930953575660821019658654138918047983331990760974002883455183417509598457553811220722942853609567205700024540643650524187698595232413456650034323234506886372416971737783828129543427508366903<191>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3407149506
Step 1 took 11685ms
Step 2 took 6770ms
********** Factor found in step 2: 982947940843476676377651778898755205321
Found probable prime factor of 39 digits: 982947940843476676377651778898755205321
Composite cofactor 88930953575660821019658654138918047983331990760974002883455183417509598457553811220722942853609567205700024540643650524187698595232413456650034323234506886372416971737783828129543427508366903 has 191 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 25, 2013 15:00:00 UTC 2013 年 2 月 26 日 (火) 0 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 27, 2013 01:11:09 UTC 2013 年 2 月 27 日 (水) 10 時 11 分 9 秒 (日本時間)
403e61000Dmitry DomanovMarch 14, 2013 16:13:02 UTC 2013 年 3 月 15 日 (金) 1 時 13 分 2 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovApril 30, 2013 10:44:54 UTC 2013 年 4 月 30 日 (火) 19 時 44 分 54 秒 (日本時間)

4×10236+173

c207

name 名前Warut Roonguthai
date 日付February 25, 2013 23:33:54 UTC 2013 年 2 月 26 日 (火) 8 時 33 分 54 秒 (日本時間)
composite number 合成数
154126574872573561499543101140034675647274242369991115256705421952502306921742479747837148198677996374932888052931410043194958750576257912510414918669389738823689870817273041557003576464255153637170880637919<207>
prime factors 素因数
279173954567957078739430111321<30>
composite cofactor 合成数の残り
552080780999417208866594446474273576496929867230926797926022230674313938400129102621081663960445659342210756994335291079274825897070748182705687768143800991899015128991467208439<177>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2782515125
Step 1 took 9891ms
Step 2 took 6006ms
********** Factor found in step 2: 279173954567957078739430111321
Found probable prime factor of 30 digits: 279173954567957078739430111321
Composite cofactor 552080780999417208866594446474273576496929867230926797926022230674313938400129102621081663960445659342210756994335291079274825897070748182705687768143800991899015128991467208439 has 177 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 25, 2013 15:00:00 UTC 2013 年 2 月 26 日 (火) 0 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 27, 2013 01:11:24 UTC 2013 年 2 月 27 日 (水) 10 時 11 分 24 秒 (日本時間)
403e61000Dmitry DomanovMarch 14, 2013 16:13:10 UTC 2013 年 3 月 15 日 (金) 1 時 13 分 10 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovApril 30, 2013 10:45:09 UTC 2013 年 4 月 30 日 (火) 19 時 45 分 9 秒 (日本時間)

4×10240+173

c189

name 名前Dmitry Domanov
date 日付May 6, 2013 05:48:17 UTC 2013 年 5 月 6 日 (月) 14 時 48 分 17 秒 (日本時間)
composite number 合成数
453392474088027957091375737368046183385464298030661525277728337484066838166527190044973939207604877042617105402997733399184085415364926089220918431566374269917488412813984476923759726068367<189>
prime factors 素因数
3779683607508808062887838761320810553<37>
119955139416248449753258336669342087979421293328019456767829672847935676316913190812670172406553335529467039245731217140587141091804712602062676753125639<153>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3961915051
Step 1 took 70647ms
Step 2 took 27477ms
********** Factor found in step 2: 3779683607508808062887838761320810553
Found probable prime factor of 37 digits: 3779683607508808062887838761320810553

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 25, 2013 15:00:00 UTC 2013 年 2 月 26 日 (火) 0 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 27, 2013 01:11:36 UTC 2013 年 2 月 27 日 (水) 10 時 11 分 36 秒 (日本時間)
403e61000Dmitry DomanovMarch 14, 2013 16:13:19 UTC 2013 年 3 月 15 日 (金) 1 時 13 分 19 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovApril 30, 2013 10:45:23 UTC 2013 年 4 月 30 日 (火) 19 時 45 分 23 秒 (日本時間)

4×10241+173

c193

composite cofactor 合成数の残り
2008566218356086975194825282647834389914371906476894705299207888253990776849508717997072510026507251460457140382334086916377412897177725017824567276953875852532438485153921819533117311701209921<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 25, 2013 15:00:00 UTC 2013 年 2 月 26 日 (火) 0 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 27, 2013 01:11:41 UTC 2013 年 2 月 27 日 (水) 10 時 11 分 41 秒 (日本時間)
403e61000Dmitry DomanovMarch 14, 2013 16:13:27 UTC 2013 年 3 月 15 日 (金) 1 時 13 分 27 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovApril 30, 2013 10:45:34 UTC 2013 年 4 月 30 日 (火) 19 時 45 分 34 秒 (日本時間)

4×10242+173

c239

name 名前Warut Roonguthai
date 日付February 26, 2013 12:14:39 UTC 2013 年 2 月 26 日 (火) 21 時 14 分 39 秒 (日本時間)
composite number 合成数
20180616517834619847636345290348620150345593057867917864890772413097220120074668281115988093436254477574289894556278694314111296100095857928459714444276272640129155945714141567024872609858231168962211795570354674335300943443822208768477877<239>
prime factors 素因数
47926621467899597598336519638828112700969<41>
421073213586550002159576272423222007174816208611609682922514350058912210659817593997109505098120890978420969312484734982660964631662339675942956406330542314378933285255984545158434379064202098121133<198>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=168516521
Step 1 took 13166ms
Step 2 took 6989ms
********** Factor found in step 2: 47926621467899597598336519638828112700969
Found probable prime factor of 41 digits: 47926621467899597598336519638828112700969
Probable prime cofactor 421073213586550002159576272423222007174816208611609682922514350058912210659817593997109505098120890978420969312484734982660964631662339675942956406330542314378933285255984545158434379064202098121133 has 198 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 25, 2013 15:00:00 UTC 2013 年 2 月 26 日 (火) 0 時 0 分 0 秒 (日本時間)

4×10244+173

c245

composite cofactor 合成数の残り
13333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333339<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 25, 2013 15:00:00 UTC 2013 年 2 月 26 日 (火) 0 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 27, 2013 01:11:49 UTC 2013 年 2 月 27 日 (水) 10 時 11 分 49 秒 (日本時間)
403e60--
4511e61200Dmitry DomanovMarch 6, 2013 15:58:22 UTC 2013 年 3 月 7 日 (木) 0 時 58 分 22 秒 (日本時間)
5043e61000500Dmitry DomanovMarch 7, 2013 14:38:20 UTC 2013 年 3 月 7 日 (木) 23 時 38 分 20 秒 (日本時間)
500Dmitry DomanovMarch 15, 2013 10:56:51 UTC 2013 年 3 月 15 日 (金) 19 時 56 分 51 秒 (日本時間)
5511e72615 / 17336yoyo@homeSeptember 19, 2013 17:35:07 UTC 2013 年 9 月 20 日 (金) 2 時 35 分 7 秒 (日本時間)

4×10245+173

c236

composite cofactor 合成数の残り
12684465619876974539363213219581314905176021655069129258973084360951307120947474006087143069114185261520323949843523279412384435762354137091243569877756588992099317054186622144263373905957344559208699930281004862299643095291354794990809<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 25, 2013 15:00:00 UTC 2013 年 2 月 26 日 (火) 0 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 27, 2013 01:11:56 UTC 2013 年 2 月 27 日 (水) 10 時 11 分 56 秒 (日本時間)
403e61000Dmitry DomanovMarch 14, 2013 16:13:43 UTC 2013 年 3 月 15 日 (金) 1 時 13 分 43 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovApril 30, 2013 10:46:01 UTC 2013 年 4 月 30 日 (火) 19 時 46 分 1 秒 (日本時間)

4×10246+173

c173

composite cofactor 合成数の残り
43982990515984122479014464387200832944013694540477597998260146036031162183804118687745285569967532516092635677485369977117889353148198481371360348059444353174824517944399271<173>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 25, 2013 15:00:00 UTC 2013 年 2 月 26 日 (火) 0 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 27, 2013 01:12:10 UTC 2013 年 2 月 27 日 (水) 10 時 12 分 10 秒 (日本時間)
403e63400Warut RoonguthaiFebruary 28, 2013 13:04:21 UTC 2013 年 2 月 28 日 (木) 22 時 4 分 21 秒 (日本時間)
4511e61000 / 3663Dmitry DomanovMay 21, 2013 13:38:46 UTC 2013 年 5 月 21 日 (火) 22 時 38 分 46 秒 (日本時間)

4×10247+173

c223

composite cofactor 合成数の残り
1624157147041906930924355655649701470623665463741541138091181778237040807439406622037629879885287761748646664254041388760076028744425035977827592449856283000841698672655010328262949545426999598427985859308343876075610004071<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 25, 2013 15:00:00 UTC 2013 年 2 月 26 日 (火) 0 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 27, 2013 01:12:16 UTC 2013 年 2 月 27 日 (水) 10 時 12 分 16 秒 (日本時間)
403e61000Dmitry DomanovMarch 14, 2013 16:13:56 UTC 2013 年 3 月 15 日 (金) 1 時 13 分 56 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovApril 30, 2013 10:46:58 UTC 2013 年 4 月 30 日 (火) 19 時 46 分 58 秒 (日本時間)

4×10248+173

c231

name 名前Dmitry Domanov
date 日付May 6, 2013 05:22:41 UTC 2013 年 5 月 6 日 (月) 14 時 22 分 41 秒 (日本時間)
composite number 合成数
201910218510749723208518975328858631702155642900057508392881102126587634888522669968381960020687616682177112379835269689087466608142606873737865993257501497748731110726360822321279087087883637284492625236209055393452684261846631461<231>
prime factors 素因数
5880785404554555424092909422569329724249<40>
composite cofactor 合成数の残り
34333886482981360669489145758157041132615871835193917152351475093417742908095820396865587475001880832183073795755995162405265337722026233308899828836639128938733025747106467094591729617551789<191>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1186789882
Step 1 took 139716ms
Step 2 took 48611ms
********** Factor found in step 2: 5880785404554555424092909422569329724249
Found probable prime factor of 40 digits: 5880785404554555424092909422569329724249

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 25, 2013 15:00:00 UTC 2013 年 2 月 26 日 (火) 0 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 27, 2013 01:12:22 UTC 2013 年 2 月 27 日 (水) 10 時 12 分 22 秒 (日本時間)
403e61000Dmitry DomanovMarch 14, 2013 16:14:06 UTC 2013 年 3 月 15 日 (金) 1 時 14 分 6 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovApril 30, 2013 10:46:47 UTC 2013 年 4 月 30 日 (火) 19 時 46 分 47 秒 (日本時間)

4×10249+173

c222

composite cofactor 合成数の残り
185675638442435796186512311938823138215806426129837509407261997519061501800207538419389488489853880683863210859566187152966958343324231376715063852636626238339757669718569113170720384925063812737805260188363354618252348653<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 25, 2013 15:00:00 UTC 2013 年 2 月 26 日 (火) 0 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 27, 2013 01:12:28 UTC 2013 年 2 月 27 日 (水) 10 時 12 分 28 秒 (日本時間)
403e61000Dmitry DomanovMarch 14, 2013 16:14:13 UTC 2013 年 3 月 15 日 (金) 1 時 14 分 13 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovApril 30, 2013 10:46:37 UTC 2013 年 4 月 30 日 (火) 19 時 46 分 37 秒 (日本時間)

4×10250+173

c227

composite cofactor 合成数の残り
22428218931916918205101877321423733132585832322125209712990703690145665193138636913982960683823752955545529266835591972640398282590987552730165782777181323114283030421453009549152330306553399312062186838801281309985427726254887<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaFebruary 25, 2013 15:00:00 UTC 2013 年 2 月 26 日 (火) 0 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiFebruary 27, 2013 01:12:35 UTC 2013 年 2 月 27 日 (水) 10 時 12 分 35 秒 (日本時間)
403e62000Dmitry DomanovMarch 11, 2013 21:46:17 UTC 2013 年 3 月 12 日 (火) 6 時 46 分 17 秒 (日本時間)
4511e60--
5043e61140 / 7469420Dmitry DomanovMarch 15, 2013 20:46:35 UTC 2013 年 3 月 16 日 (土) 5 時 46 分 35 秒 (日本時間)
720Dmitry DomanovMarch 22, 2013 05:53:43 UTC 2013 年 3 月 22 日 (金) 14 時 53 分 43 秒 (日本時間)

4×10251+173

c238

composite cofactor 合成数の残り
4647576677578891768621462441448613302318090098874959057176673385243273071272881139128565006870820782867702998578132186613599538738155641768475489107798733114347141491269898985716165128990529338240481682964515040591979573339252687354364503<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 14, 2015 23:06:20 UTC 2015 年 11 月 15 日 (日) 8 時 6 分 20 秒 (日本時間)
4511e6800 / 4346Erik BrangerNovember 17, 2015 15:54:27 UTC 2015 年 11 月 18 日 (水) 0 時 54 分 27 秒 (日本時間)

4×10252+173

c237

composite cofactor 合成数の残り
250648763161282785452102658634104095748399213820395865884078954446300106506838827670017103235312809702544885501337134779342276110256715675471996338347970999490285279171310339664177595584946735148204710863914658650847573505668551233471861<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 14, 2015 23:06:35 UTC 2015 年 11 月 15 日 (日) 8 時 6 分 35 秒 (日本時間)
4511e6800 / 4346Erik BrangerNovember 17, 2015 15:54:48 UTC 2015 年 11 月 18 日 (水) 0 時 54 分 48 秒 (日本時間)

4×10253+173

c230

composite cofactor 合成数の残り
56834783418621388497042562180875245075267017027931953850820463389500748325193207077893370175979505098830211169587526740811659457890318642525346702654451654438298566865659897778569462936834001327249283490583734418883421187613935227<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 14, 2015 23:06:56 UTC 2015 年 11 月 15 日 (日) 8 時 6 分 56 秒 (日本時間)
4511e6800 / 4346Erik BrangerNovember 17, 2015 15:54:58 UTC 2015 年 11 月 18 日 (水) 0 時 54 分 58 秒 (日本時間)

4×10254+173

c176

composite cofactor 合成数の残り
17330842389365579459106210671487427971707343717011508550318708332449462054978391412007153628251759592393687201335068721585266570069559133621652856824630891147544579390514355051<176>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e6904Ignacio SantosNovember 13, 2015 16:25:16 UTC 2015 年 11 月 14 日 (土) 1 時 25 分 16 秒 (日本時間)
403e6600Dmitry DomanovNovember 14, 2015 22:48:14 UTC 2015 年 11 月 15 日 (日) 7 時 48 分 14 秒 (日本時間)
4511e6800Erik BrangerNovember 17, 2015 15:55:42 UTC 2015 年 11 月 18 日 (水) 0 時 55 分 42 秒 (日本時間)
5043e61500 / 7346Erik BrangerDecember 2, 2015 13:02:38 UTC 2015 年 12 月 2 日 (水) 22 時 2 分 38 秒 (日本時間)

4×10255+173

c207

name 名前Dmitry Domanov
date 日付November 15, 2015 09:43:28 UTC 2015 年 11 月 15 日 (日) 18 時 43 分 28 秒 (日本時間)
composite number 合成数
413901695122904504926998018230821902275556458633398348110434533863545150190416234794841257586638247595534759256701931160044013009074500854350017037032959577491554899451323130276949780965993065208784331026459<207>
prime factors 素因数
434796417022346078921935591338094932101143<42>
951943665859675878240875700445430897232329699765219270683983112062356404773430745512335683473979677836203615984915815363745751601054098277725802524149391384806381213<165>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=392781338
Step 1 took 20657ms
Step 2 took 7405ms
********** Factor found in step 2: 434796417022346078921935591338094932101143
Found probable prime factor of 42 digits: 434796417022346078921935591338094932101143

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 14, 2015 23:07:18 UTC 2015 年 11 月 15 日 (日) 8 時 7 分 18 秒 (日本時間)

4×10258+173

c224

name 名前Erik Branger
date 日付November 17, 2015 15:56:21 UTC 2015 年 11 月 18 日 (水) 0 時 56 分 21 秒 (日本時間)
composite number 合成数
11776402991177672852296209675209082515770924377665164456736912605824066659440611016921054024089788263861910516118704389197603662133914536994051168108912306866517127163644585115372526711343507911020636822379799029901462070751<224>
prime factors 素因数
1971053479994655159187011668183786902369<40>
5974674513250450483199954512975486426569241631493440225793510977593130343382668934665769973553011925239661627024794129456747644634268991855477202744743692593299009445047277450436444479<184>
factorization results 素因数分解の結果
Tue 2015/11/17 06:11:29 UTC GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Tue 2015/11/17 06:11:29 UTC Input number is 11776402991177672852296209675209082515770924377665164456736912605824066659440611016921054024089788263861910516118704389197603662133914536994051168108912306866517127163644585115372526711343507911020636822379799029901462070751 (224 digits)
Tue 2015/11/17 06:11:29 UTC Run 549 out of 800:
Tue 2015/11/17 06:11:29 UTC Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4055691830
Tue 2015/11/17 06:11:29 UTC Step 1 took 161078ms
Tue 2015/11/17 06:11:29 UTC Step 2 took 81078ms
Tue 2015/11/17 06:11:29 UTC ********** Factor found in step 2: 1971053479994655159187011668183786902369
Tue 2015/11/17 06:11:29 UTC Found probable prime factor of 40 digits: 1971053479994655159187011668183786902369
Tue 2015/11/17 06:11:29 UTC Probable prime cofactor 5974674513250450483199954512975486426569241631493440225793510977593130343382668934665769973553011925239661627024794129456747644634268991855477202744743692593299009445047277450436444479 has 184 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 14, 2015 23:07:30 UTC 2015 年 11 月 15 日 (日) 8 時 7 分 30 秒 (日本時間)

4×10259+173

c208

name 名前Dmitry Domanov
date 日付November 15, 2015 09:43:59 UTC 2015 年 11 月 15 日 (日) 18 時 43 分 59 秒 (日本時間)
composite number 合成数
5322022693922327242111587959920127364775183850919028490316553666434410429949151577309588765038688591054904756051883719881506882627772606660992495588886081489272671913096092139123072961935077048092408644129397<208>
prime factors 素因数
62191553359387825824985150180533869<35>
85574686696886740301583759056649620624796244003446523856660175158869308955967987862620174774880847634910749402250213550822878776708975571418508837643962165968717834857903913<173>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1376507775
Step 1 took 25992ms
Step 2 took 9053ms
********** Factor found in step 2: 62191553359387825824985150180533869
Found probable prime factor of 35 digits: 62191553359387825824985150180533869

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 14, 2015 23:07:45 UTC 2015 年 11 月 15 日 (日) 8 時 7 分 45 秒 (日本時間)

4×10260+173

c261

composite cofactor 合成数の残り
133333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333339<261>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovNovember 14, 2015 09:52:43 UTC 2015 年 11 月 14 日 (土) 18 時 52 分 43 秒 (日本時間)
4511e6800Dmitry DomanovFebruary 5, 2016 14:29:46 UTC 2016 年 2 月 5 日 (金) 23 時 29 分 46 秒 (日本時間)
5043e66875600Dmitry DomanovFebruary 8, 2016 14:40:05 UTC 2016 年 2 月 8 日 (月) 23 時 40 分 5 秒 (日本時間)
3200Dmitry DomanovDecember 23, 2016 20:00:07 UTC 2016 年 12 月 24 日 (土) 5 時 0 分 7 秒 (日本時間)
1875Dmitry DomanovDecember 29, 2016 20:46:36 UTC 2016 年 12 月 30 日 (金) 5 時 46 分 36 秒 (日本時間)
1200Dmitry DomanovJanuary 11, 2017 14:48:21 UTC 2017 年 1 月 11 日 (水) 23 時 48 分 21 秒 (日本時間)
5511e7200 / 15261Dmitry DomanovFebruary 13, 2016 20:55:51 UTC 2016 年 2 月 14 日 (日) 5 時 55 分 51 秒 (日本時間)

4×10261+173

c261

name 名前Dmitry Domanov
date 日付February 5, 2016 06:32:41 UTC 2016 年 2 月 5 日 (金) 15 時 32 分 41 秒 (日本時間)
composite number 合成数
102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564103<261>
prime factors 素因数
14227315133624942538529019957394606877<38>
7208956967692505826427868290435701899781757222286064294758269101918478742081394951572698776817971383176208413814202371897345266200156097317984056335182218867808876327650059581526469988042255103864392352774920826219404666739<223>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2845712534
Step 1 took 127563ms
Step 2 took 32408ms
********** Factor found in step 2: 14227315133624942538529019957394606877
Found probable prime factor of 38 digits: 14227315133624942538529019957394606877

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovNovember 14, 2015 09:52:11 UTC 2015 年 11 月 14 日 (土) 18 時 52 分 11 秒 (日本時間)
4511e6800 / 4305Dmitry DomanovFebruary 4, 2016 18:02:55 UTC 2016 年 2 月 5 日 (金) 3 時 2 分 55 秒 (日本時間)

4×10262+173

c217

composite cofactor 合成数の残り
2419122185179366069757271283268073168982301550132291943377911818933501795126295283921532175688675291291722150500269090292806683916890273578588224710927482267376717988738151715653256787317195175606196370137085578643339<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 15, 2015 09:49:28 UTC 2015 年 11 月 15 日 (日) 18 時 49 分 28 秒 (日本時間)

4×10265+173

c220

name 名前Dmitry Domanov
date 日付November 15, 2015 10:42:11 UTC 2015 年 11 月 15 日 (日) 19 時 42 分 11 秒 (日本時間)
composite number 合成数
4866414873236562762633755878252614009841249198627278487952135930293211527553511660109758070123704217092257760846183106061331571188702584916868431307973356249282304504774688237466995894310940067828247437292184925151328837<220>
prime factors 素因数
1589320515235914104595767832899<31>
composite cofactor 合成数の残り
3061946804678480050883984113607901673220931401264859823645931919613004278648263438630033688336458795484860259077997884849497957657578973438066774075655687640140629128881416587440447151163863<190>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2074366022
Step 1 took 43165ms
Step 2 took 13560ms
********** Factor found in step 2: 1589320515235914104595767832899
Found probable prime factor of 31 digits: 1589320515235914104595767832899

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 15, 2015 09:49:56 UTC 2015 年 11 月 15 日 (日) 18 時 49 分 56 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovJanuary 23, 2017 06:43:50 UTC 2017 年 1 月 23 日 (月) 15 時 43 分 50 秒 (日本時間)

4×10266+173

c227

composite cofactor 合成数の残り
79950523153439041650159586019249974053198586508977087854790662154328728167859032303491360485599704455483281127302148569200167054942671971903420007294985827780034273346776701672094216047346523109458799386456856521026425327980791<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 15, 2015 09:50:08 UTC 2015 年 11 月 15 日 (日) 18 時 50 分 8 秒 (日本時間)

4×10267+173

c251

composite cofactor 合成数の残り
37835278439855401086668472923662851363759077332223419922008019851979901584257719991539070685902859862372693336580936262679907451283616007126679426924353879740023379090169451329711207315786195132177181080349279878503544287567868280106350296696469180317<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 15, 2015 09:50:21 UTC 2015 年 11 月 15 日 (日) 18 時 50 分 21 秒 (日本時間)

4×10269+173

c205

composite cofactor 合成数の残り
7770609993291195652653872181236633476392823598823576194142590102627768534263481266551018815242008407544622527882981201910912870548537100267595253959597538653370893225723326113691560862043561464697047265891<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 15, 2015 09:50:35 UTC 2015 年 11 月 15 日 (日) 18 時 50 分 35 秒 (日本時間)

4×10270+173

c226

name 名前Dmitry Domanov
date 日付November 15, 2015 10:42:42 UTC 2015 年 11 月 15 日 (日) 19 時 42 分 42 秒 (日本時間)
composite number 合成数
5067470145502926734195559578304811906607438330814562644710496907675169074528080375335812872112989982245730494798148911900846538413063533225180634480053252000614352335319590605989194878754276423582256800866557104016598094255303<226>
prime factors 素因数
96176132295803013686166226693<29>
composite cofactor 合成数の残り
52689477363440032507659614017574206517578572623058701542291207590721389214012111944465319374885443933362346996890089909041117793125551676360537970371922188463598974936720215619872788659396845575771<197>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2231830610
Step 1 took 41839ms
Step 2 took 13000ms
********** Factor found in step 2: 96176132295803013686166226693
Found probable prime factor of 29 digits: 96176132295803013686166226693

c197

name 名前Dmitry Domanov
date 日付January 23, 2017 10:00:17 UTC 2017 年 1 月 23 日 (月) 19 時 0 分 17 秒 (日本時間)
composite number 合成数
52689477363440032507659614017574206517578572623058701542291207590721389214012111944465319374885443933362346996890089909041117793125551676360537970371922188463598974936720215619872788659396845575771<197>
prime factors 素因数
68805776652587470281012671794389049016999<41>
composite cofactor 合成数の残り
765771130372941186265385299698357247104637086441797831634115850203872894346751160504372956968933076611113638921879202677683108244439706605243142289768317229<156>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=901035445
Step 1 took 99032ms
Step 2 took 32169ms
********** Factor found in step 2: 68805776652587470281012671794389049016999
Found probable prime factor of 41 digits: 68805776652587470281012671794389049016999

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 15, 2015 09:50:50 UTC 2015 年 11 月 15 日 (日) 18 時 50 分 50 秒 (日本時間)
4511e64600600Dmitry DomanovJanuary 23, 2017 06:44:22 UTC 2017 年 1 月 23 日 (月) 15 時 44 分 22 秒 (日本時間)
4000Lionel DebrouxDecember 27, 2017 20:10:50 UTC 2017 年 12 月 28 日 (木) 5 時 10 分 50 秒 (日本時間)

4×10271+173

c256

composite cofactor 合成数の残り
1225686562720439658543797822828149576277042241171248571215008260862451894679360663197593352637353000256986511248543802491656589735312368346603519991771365291025193155933846957573388548221287764590578688859778824623567785689168856297124408197206604224750331<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 15, 2015 09:51:01 UTC 2015 年 11 月 15 日 (日) 18 時 51 分 1 秒 (日本時間)

4×10272+173

c240

name 名前Dmitry Domanov
date 日付November 15, 2015 10:17:43 UTC 2015 年 11 月 15 日 (日) 19 時 17 分 43 秒 (日本時間)
composite number 合成数
379827342458753722388387865871030481490043665283413174148202514216745558531094180327221467694203281157773569063575248993129406249850327786533590863226437586471189431556102652450480781404461332284313935885135230918441468132628816960326617483<240>
prime factors 素因数
126222093950322437015806578498509357<36>
composite cofactor 合成数の残り
3009198552895528520005373886428712472316383538192267001191578443426778882174916076008527213486369847499743334625514581776576526716879341905408431395904315678133617740988758801152932572676295954498137972119<205>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=716711298
Step 1 took 40416ms
Step 2 took 13878ms
********** Factor found in step 2: 126222093950322437015806578498509357
Found probable prime factor of 36 digits: 126222093950322437015806578498509357

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 15, 2015 09:51:15 UTC 2015 年 11 月 15 日 (日) 18 時 51 分 15 秒 (日本時間)

4×10275+173

c255

composite cofactor 合成数の残り
249146456550111592078701464476511802515474949388800547925466057134186207723639401661194258105001096361680045908982394519547556689061530152543283063870112154988475681820750909080374972829367432044774398662895045061443779454467913821876924385990314683703889<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 15, 2015 09:51:30 UTC 2015 年 11 月 15 日 (日) 18 時 51 分 30 秒 (日本時間)

4×10276+173

c244

composite cofactor 合成数の残り
7849927775505327248282261169150426050598173705702493478560513037773434195234725163650735525600984160055408927251513557022439555675749917626272491464737710298246695188083384413798884586281480468483118352744701350236690587832196780015498275633557<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 15, 2015 09:51:41 UTC 2015 年 11 月 15 日 (日) 18 時 51 分 41 秒 (日本時間)

4×10278+173

c242

composite cofactor 合成数の残り
80620371412030466362943794779136769120575329833580397183705582324893596635543929470875873514800429154629553121670875418081591438873716665224468756936801467430871017603683444722433907860146057526544981138851833151107602566990594048123638579609<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 15, 2015 09:51:52 UTC 2015 年 11 月 15 日 (日) 18 時 51 分 52 秒 (日本時間)

4×10279+173

c258

composite cofactor 合成数の残り
619305312794855298069408283341177836440908990152209050087092038059028122270148386992439214498880074646764339477227104543027842398057871183282812807824877547995760446475262995756264534654479500005437147166545789267401251760935464387784690270910581816318324333<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 15, 2015 09:52:03 UTC 2015 年 11 月 15 日 (日) 18 時 52 分 3 秒 (日本時間)

4×10283+173

c258

composite cofactor 合成数の残り
708115355889917864959167707928773038528573608229632185893280036356791634084766317188277742871137365875581549946577267936101317790515274585360403702394445207536830560004041228309649620607248407946672984195003459932154057353573433644181177903448487991209854183<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 15, 2015 09:52:15 UTC 2015 年 11 月 15 日 (日) 18 時 52 分 15 秒 (日本時間)

4×10284+173

c245

composite cofactor 合成数の残り
19273352173154811684378687001297622898381248002053335806163896265841588854837647865893330904022960167001623937579010965297708298881726968043287475734407280287990762024806536804410733705236258594666960023694287980417520383625186627363017469685861<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 15, 2015 09:52:30 UTC 2015 年 11 月 15 日 (日) 18 時 52 分 30 秒 (日本時間)

4×10286+173

c283

composite cofactor 合成数の残り
4864404718472576918399610847622522193846528031132190198224492277757509424784142040617779399246017268636750577648060318618509059953788155174510519275203696947586039158457983704244193116867323361303660464550650614131095707162835947950869512343426973124163930439012525842150066885564879<283>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovNovember 14, 2015 09:47:10 UTC 2015 年 11 月 14 日 (土) 18 時 47 分 10 秒 (日本時間)
4511e6800 / 4305Dmitry DomanovJanuary 20, 2016 20:16:26 UTC 2016 年 1 月 21 日 (木) 5 時 16 分 26 秒 (日本時間)

4×10287+173

c262

composite cofactor 合成数の残り
1823261269781438257807672649415578869960371148652024190207424120040596181417180106115622809543118740211164680677371776101814198199376918718438275276084091705350876740355461969324400605849335725407297025314551558322508129252915675068559515190048265586603022721779<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 15, 2015 09:52:42 UTC 2015 年 11 月 15 日 (日) 18 時 52 分 42 秒 (日本時間)

4×10288+173

c258

composite cofactor 合成数の残り
347443144287590230029972864956360732346957708779191968700216932767138525024944645593742508313697367643992538669714659049198890080791677795530613653817065268243864502547734327788821256752444386387298902530274512744245195816764556924998555766045763120412409073<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 15, 2015 09:52:56 UTC 2015 年 11 月 15 日 (日) 18 時 52 分 56 秒 (日本時間)

4×10290+173

c254

composite cofactor 合成数の残り
95258740185360036871350612554286531466419630462026075801729420959415196872474905937857658270652151001072117289062404687211299863490057221530241905479774453207454394217577453279381624799045211630879342308895347933260643470157388810761871015225849257643807<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
403e6600 / 2089Dmitry DomanovNovember 15, 2015 09:53:30 UTC 2015 年 11 月 15 日 (日) 18 時 53 分 30 秒 (日本時間)

4×10291+173

c276

name 名前Dmitry Domanov
date 日付November 15, 2015 10:41:21 UTC 2015 年 11 月 15 日 (日) 19 時 41 分 21 秒 (日本時間)
composite number 合成数
213676594641461967529350152090362835456845225868263798707974487797768758361389726723953520864657885103768800873459239639369403952226873009722007536602185128634097040099648583414372519847641587306412070056188708248673481363709111572973728694032168047082854751916843977783864787<276>
prime factors 素因数
190802117359769731950671384324959<33>
composite cofactor 合成数の残り
1119885867086898880226529880575715850380008314796677710773549491152504645130382138304242525211498312684705856886537507911078127181932940040525187174579747486145812565671065954668902682518936672715874134626721944266130430297167809732579638740493<244>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4188568227
Step 1 took 59008ms
Step 2 took 18484ms
********** Factor found in step 2: 190802117359769731950671384324959
Found probable prime factor of 33 digits: 190802117359769731950671384324959

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 15, 2015 09:53:45 UTC 2015 年 11 月 15 日 (日) 18 時 53 分 45 秒 (日本時間)

4×10292+173

c263

composite cofactor 合成数の残り
62372506697807026214217532970823621789517611107267034864680729713807266592586303739933049510877053575700762297654729365547676799424954246909554334408698125722366027920293469104827733326055965951912071028600579294622498713252067372724158955910585338211687174839463<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 16, 2015 08:12:55 UTC 2015 年 11 月 16 日 (月) 17 時 12 分 55 秒 (日本時間)

4×10293+173

c291

composite cofactor 合成数の残り
239377618192698982645122681029323758228605625374027528426092160383004189108318372232196289646918013165769000598444045481747456612806702573309395571514063435068821065230400957510472770795930580490724117295032914422501496110113704368641532016756433273488928785158587672052663076002393776181927<291>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovNovember 14, 2015 09:44:24 UTC 2015 年 11 月 14 日 (土) 18 時 44 分 24 秒 (日本時間)
4511e6800 / 4305Dmitry DomanovDecember 31, 2015 00:27:03 UTC 2015 年 12 月 31 日 (木) 9 時 27 分 3 秒 (日本時間)

4×10295+173

c282

composite cofactor 合成数の残り
439025672837895226954947329408543311411751695760438135406346582211853741927801966208089360529909490097562598408832131099880457460011659972478896303123472184757984782788194472454560306765354956278606841167266089803276063224041656574349313660024902471185536067382069491067884015403633<282>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 16, 2015 08:13:19 UTC 2015 年 11 月 16 日 (月) 17 時 13 分 19 秒 (日本時間)

4×10298+173

c229

name 名前Dmitry Domanov
date 日付November 15, 2015 13:28:31 UTC 2015 年 11 月 15 日 (日) 22 時 28 分 31 秒 (日本時間)
composite number 合成数
1203541161206641617743454700012060700321508373042692560182278284307140786801768230883765789248024375465748899797306413008692859020699256699713144262439557049674045960062170937895013000500150937258974142730848626524663319162350089<229>
prime factors 素因数
324942657466254569194750714333216081<36>
composite cofactor 合成数の残り
3703857076172370106316257809790678029511677940769372027035655364298342548895219629472606566936176527686024077331587342878777703290758615622427680173560339730446932431200662281379517998730400569<193>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1797285080
Step 1 took 41535ms
Step 2 took 14997ms
********** Factor found in step 2: 324942657466254569194750714333216081
Found probable prime factor of 36 digits: 324942657466254569194750714333216081

c193

name 名前Serge Batalov
date 日付November 16, 2015 21:53:40 UTC 2015 年 11 月 17 日 (火) 6 時 53 分 40 秒 (日本時間)
composite number 合成数
3703857076172370106316257809790678029511677940769372027035655364298342548895219629472606566936176527686024077331587342878777703290758615622427680173560339730446932431200662281379517998730400569<193>
prime factors 素因数
85830464943007584325757304014026192061<38>
43153175025112281461026751348727035354281970405559188058567055437592988995735861160946703618250218299720113991263399945154349141015099530020028799185462829<155>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=653942306
Step 1 took 18528ms
Step 2 took 6772ms
********** Factor found in step 2: 85830464943007584325757304014026192061
Found probable prime factor of 38 digits: 85830464943007584325757304014026192061
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 15, 2015 09:54:19 UTC 2015 年 11 月 15 日 (日) 18 時 54 分 19 秒 (日本時間)

4×10299+173

c242

composite cofactor 合成数の残り
24701100864846132905561586931577965202267385506198674018438773075601508754013590179281179540105853514657918956456212069467109275095420254978108565565036901247561213413383230732282531668630582084952353767699665862545543374575701121505321004679<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 16, 2015 08:13:36 UTC 2015 年 11 月 16 日 (月) 17 時 13 分 36 秒 (日本時間)

4×10300+173

c270

composite cofactor 合成数の残り
617352876871552662881643424380997074950569497746106112006583832356616249491258201690927787977831487788695252144372366852055346492969323608998386968594894261703141541564253869246372816157859778949340825122350490500109262018975480550651448247245909379665771852803336670673<270>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e61200Dmitry DomanovNovember 14, 2015 22:52:31 UTC 2015 年 11 月 15 日 (日) 7 時 52 分 31 秒 (日本時間)
4511e61200Dmitry DomanovNovember 16, 2015 08:11:41 UTC 2015 年 11 月 16 日 (月) 17 時 11 分 41 秒 (日本時間)
5043e6600 / 6934Dmitry DomanovNovember 28, 2015 00:10:03 UTC 2015 年 11 月 28 日 (土) 9 時 10 分 3 秒 (日本時間)
5511e7120 / 17464Dmitry DomanovDecember 3, 2015 07:25:49 UTC 2015 年 12 月 3 日 (木) 16 時 25 分 49 秒 (日本時間)
6026e73 / 418812Dmitry DomanovDecember 3, 2015 07:26:57 UTC 2015 年 12 月 3 日 (木) 16 時 26 分 57 秒 (日本時間)
1Dmitry DomanovDecember 3, 2015 07:27:10 UTC 2015 年 12 月 3 日 (木) 16 時 27 分 10 秒 (日本時間)