Table of contents 目次

9×10108+7

c84

name 名前Jo Yeong Uk
date 日付November 4, 2007 16:41:39 UTC 2007 年 11 月 5 日 (月) 1 時 41 分 39 秒 (日本時間)
composite number 合成数
792085613369686554167223683559223742655367466905587896034275024581697823391242523027<84>
prime factors 素因数
144064331776620889004606685503461<33>
5498138252554114429604456503865744400402842973430807<52>
factorization results 素因数分解の結果
Mon Nov  5 01:24:55 2007  
Mon Nov  5 01:24:55 2007  
Mon Nov  5 01:24:55 2007  Msieve v. 1.28
Mon Nov  5 01:24:55 2007  random seeds: 152d9442 e6816ec9
Mon Nov  5 01:24:55 2007  factoring 792085613369686554167223683559223742655367466905587896034275024581697823391242523027 (84 digits)
Mon Nov  5 01:24:55 2007  commencing quadratic sieve (84-digit input)
Mon Nov  5 01:24:55 2007  using multiplier of 43
Mon Nov  5 01:24:55 2007  using 32kb Intel Core sieve core
Mon Nov  5 01:24:55 2007  sieve interval: 12 blocks of size 32768
Mon Nov  5 01:24:55 2007  processing polynomials in batches of 17
Mon Nov  5 01:24:55 2007  using a sieve bound of 1401067 (53824 primes)
Mon Nov  5 01:24:55 2007  using large prime bound of 119090695 (26 bits)
Mon Nov  5 01:24:55 2007  using double large prime bound of 344017052465110 (41-49 bits)
Mon Nov  5 01:24:55 2007  using trial factoring cutoff of 49 bits
Mon Nov  5 01:24:55 2007  polynomial 'A' values have 11 factors
Mon Nov  5 01:43:23 2007  54205 relations (16445 full + 37760 combined from 563337 partial), need 53920
Mon Nov  5 01:43:23 2007  begin with 579782 relations
Mon Nov  5 01:43:24 2007  reduce to 124756 relations in 9 passes
Mon Nov  5 01:43:24 2007  attempting to read 124756 relations
Mon Nov  5 01:43:25 2007  recovered 124756 relations
Mon Nov  5 01:43:25 2007  recovered 99117 polynomials
Mon Nov  5 01:43:25 2007  attempting to build 54205 cycles
Mon Nov  5 01:43:25 2007  found 54205 cycles in 5 passes
Mon Nov  5 01:43:25 2007  distribution of cycle lengths:
Mon Nov  5 01:43:25 2007     length 1 : 16445
Mon Nov  5 01:43:25 2007     length 2 : 11224
Mon Nov  5 01:43:25 2007     length 3 : 9837
Mon Nov  5 01:43:25 2007     length 4 : 6662
Mon Nov  5 01:43:25 2007     length 5 : 4386
Mon Nov  5 01:43:25 2007     length 6 : 2611
Mon Nov  5 01:43:25 2007     length 7 : 1468
Mon Nov  5 01:43:25 2007     length 9+: 1572
Mon Nov  5 01:43:25 2007  largest cycle: 15 relations
Mon Nov  5 01:43:25 2007  matrix is 53824 x 54205 with weight 2718225 (avg 50.15/col)
Mon Nov  5 01:43:25 2007  filtering completed in 3 passes
Mon Nov  5 01:43:25 2007  matrix is 48768 x 48832 with weight 2453195 (avg 50.24/col)
Mon Nov  5 01:43:26 2007  saving the first 48 matrix rows for later
Mon Nov  5 01:43:26 2007  matrix is 48720 x 48832 with weight 1746320 (avg 35.76/col)
Mon Nov  5 01:43:26 2007  matrix includes 64 packed rows
Mon Nov  5 01:43:26 2007  commencing Lanczos iteration
Mon Nov  5 01:44:06 2007  lanczos halted after 771 iterations
Mon Nov  5 01:44:07 2007  recovered 17 nontrivial dependencies
Mon Nov  5 01:44:07 2007  prp33 factor: 144064331776620889004606685503461
Mon Nov  5 01:44:07 2007  prp52 factor: 5498138252554114429604456503865744400402842973430807
Mon Nov  5 01:44:07 2007  elapsed time 00:19:12
execution environment 実行環境
Core 2 Quad Q6600

9×10111+7

c107

name 名前Robert Backstrom
date 日付November 4, 2007 19:05:06 UTC 2007 年 11 月 5 日 (月) 4 時 5 分 6 秒 (日本時間)
composite number 合成数
79979383092358414275431222173839632450301700006220618684961209999200206169076415857245687778261603675496983<107>
prime factors 素因数
682916690512923260407060455419117<33>
51118310350528656363520883890560151<35>
2291046123805509364111583138403788910949<40>
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 79979383092358414275431222173839632450301700006220618684961209999200206169076415857245687778261603675496983 (107 digits)
Using B1=598500, B2=404018312, polynomial Dickson(3), sigma=2450905158
Step 1 took 6359ms
Step 2 took 3845ms
********** Factor found in step 2: 682916690512923260407060455419117
Found probable prime factor of 33 digits: 682916690512923260407060455419117
Composite cofactor 117114406784065726826956696216966124532205815388238670583720999473866993299 has 75 digits

Mon Nov 05 05:55:15 2007  Msieve v. 1.29
Mon Nov 05 05:55:15 2007  random seeds: d83ed070 93f5a971
Mon Nov 05 05:55:15 2007  factoring 117114406784065726826956696216966124532205815388238670583720999473866993299 (75 digits)
...
Mon Nov 05 05:58:07 2007  commencing Lanczos iteration
Mon Nov 05 05:58:17 2007  lanczos halted after 340 iterations (dim = 21400)
Mon Nov 05 05:58:17 2007  recovered 14 nontrivial dependencies
Mon Nov 05 05:58:17 2007  prp35 factor: 51118310350528656363520883890560151
Mon Nov 05 05:58:17 2007  prp40 factor: 2291046123805509364111583138403788910949
Mon Nov 05 05:58:17 2007  elapsed time 00:03:02

9×10112+7

c93

name 名前Jo Yeong Uk
date 日付November 4, 2007 23:22:39 UTC 2007 年 11 月 5 日 (月) 8 時 22 分 39 秒 (日本時間)
composite number 合成数
613369905915178755561126474140880398319161319784569225022227103519115609390857587884174550583<93>
prime factors 素因数
366287276724937330096345104351579811913585089<45>
1674559682769946750885495255184227109771029382647<49>
factorization results 素因数分解の結果
Number: 90007_112
N=613369905915178755561126474140880398319161319784569225022227103519115609390857587884174550583
  ( 93 digits)
SNFS difficulty: 112 digits.
Divisors found:
 r1=366287276724937330096345104351579811913585089 (pp45)
 r2=1674559682769946750885495255184227109771029382647 (pp49)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.89 hours.
Scaled time: 1.90 units (timescale=2.119).
Factorization parameters were as follows:
n: 613369905915178755561126474140880398319161319784569225022227103519115609390857587884174550583
m: 10000000000000000000000
c5: 900
c0: 7
skew: 0.38
type: snfs
Factor base limits: 360000/360000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [180000, 360001)
Primes: RFBsize:30757, AFBsize:30859, largePrimes:1047627 encountered
Relations: rels:958703, finalFF:81871
Max relations in full relation-set: 28
Initial matrix: 61680 x 81871 with sparse part having weight 4265106.
Pruned matrix : 57019 x 57391 with weight 2165245.
Total sieving time: 0.86 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,112,5,0,0,0,0,0,0,0,0,360000,360000,25,25,44,44,2.2,2.2,20000
total time: 0.89 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407677)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405122)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

9×10114+7

c95

name 名前Jo Yeong Uk
date 日付November 4, 2007 23:23:31 UTC 2007 年 11 月 5 日 (月) 8 時 23 分 31 秒 (日本時間)
composite number 合成数
12871133131734246468791789551870388883140990287398533490691419410177257253759609146868658979037<95>
prime factors 素因数
115630510169949718409527011290812428381853<42>
111312603505914666012718121697883345483669372301240129<54>
factorization results 素因数分解の結果
Number: 90007_114
N=12871133131734246468791789551870388883140990287398533490691419410177257253759609146868658979037
  ( 95 digits)
SNFS difficulty: 115 digits.
Divisors found:
 r1=115630510169949718409527011290812428381853 (pp42)
 r2=111312603505914666012718121697883345483669372301240129 (pp54)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.90 hours.
Scaled time: 1.93 units (timescale=2.145).
Factorization parameters were as follows:
n: 12871133131734246468791789551870388883140990287398533490691419410177257253759609146868658979037
m: 100000000000000000000000
c5: 9
c0: 70
skew: 1.51
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, 420001)
Primes: RFBsize:49098, AFBsize:49341, largePrimes:1898932 encountered
Relations: rels:2001615, finalFF:245554
Max relations in full relation-set: 28
Initial matrix: 98503 x 245554 with sparse part having weight 19808415.
Pruned matrix : 69060 x 69616 with weight 3831506.
Total sieving time: 0.85 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,115,5,0,0,0,0,0,0,0,0,600000,600000,25,25,45,45,2.4,2.4,30000
total time: 0.90 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407677)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405122)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

9×10117+7

c111

name 名前Sinkiti Sibata
date 日付November 5, 2007 23:50:52 UTC 2007 年 11 月 6 日 (火) 8 時 50 分 52 秒 (日本時間)
composite number 合成数
431411575319020471390006657639299562083696817558297724701797533850110074663442648073275160198696667283265655243<111>
prime factors 素因数
17471857037357853190634584935442902072067<41>
24691798610564857752888526692177153472802870226100236461016311059115929<71>
factorization results 素因数分解の結果
(ここに素因数分解ソフトウェアの出力結果を貼り付けてください。例:GGNFSのサマリファイル、B1とsigmNumber: 90007_117
N=431411575319020471390006657639299562083696817558297724701797533850110074663442648073275160198696667283265655243
  ( 111 digits)
SNFS difficulty: 117 digits.
Divisors found:
 r1=17471857037357853190634584935442902072067 (pp41)
 r2=24691798610564857752888526692177153472802870226100236461016311059115929 (pp71)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 2.78 hours.
Scaled time: 1.88 units (timescale=0.676).
Factorization parameters were as follows:
name: 90007_117
n: 431411575319020471390006657639299562083696817558297724701797533850110074663442648073275160198696667283265655243
m: 100000000000000000000000
c5: 900
c0: 7
skew: 0.38
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:63823, largePrimes:2291621 encountered
Relations: rels:2546258, finalFF:364912
Max relations in full relation-set: 28
Initial matrix: 112985 x 364912 with sparse part having weight 33871287.
Pruned matrix : 74587 x 75215 with weight 6217223.
Total sieving time: 2.55 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,117,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.78 hours.
 --------- CPU info (if available) ----------
aを含むGMP-ECMの出力など)
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP )

9×10120+7

c104

name 名前Sinkiti Sibata
date 日付November 5, 2007 01:51:30 UTC 2007 年 11 月 5 日 (月) 10 時 51 分 30 秒 (日本時間)
composite number 合成数
20042483907705114278411372506196732936640720090441885904393246630974136265348532459246920117086459788761<104>
prime factors 素因数
266099299493114096677875328801409<33>
75319566589929176165358361692126958829966221213822132241587381268023129<71>
factorization results 素因数分解の結果
(ここに素因数分解ソフトウェアの出力結果を貼り付けてください。例:GGNFSのサマリファイル、B1とsigmaを含むGMP-ECMの出Number: 90007_120
N=20042483907705114278411372506196732936640720090441885904393246630974136265348532459246920117086459788761
  ( 104 digits)
SNFS difficulty: 120 digits.
Divisors found:
 r1=266099299493114096677875328801409 (pp33)
 r2=75319566589929176165358361692126958829966221213822132241587381268023129 (pp71)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 2.09 hours.
Scaled time: 1.41 units (timescale=0.676).
Factorization parameters were as follows:
name: 90007_120
n: 20042483907705114278411372506196732936640720090441885904393246630974136265348532459246920117086459788761
m: 1000000000000000000000000
c5: 9
c0: 7
skew: 0.95
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, 550001)
Primes: RFBsize:49098, AFBsize:63908, largePrimes:2006815 encountered
Relations: rels:1988282, finalFF:148363
Max relations in full relation-set: 28
Initial matrix: 113070 x 148363 with sparse part having weight 12012483.
Pruned matrix : 101019 x 101648 with weight 6176663.
Total sieving time: 1.81 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.17 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,120,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.09 hours.
 --------- CPU info (if available) ----------
力など)
execution environment 実行環境
Pentium 4 2.46GHz, Windows XP )

9×10121+7

c96

name 名前Sinkiti Sibata
date 日付November 6, 2007 20:39:32 UTC 2007 年 11 月 7 日 (水) 5 時 39 分 32 秒 (日本時間)
composite number 合成数
614692728684711966341285537593488278848176917343378079725035602868779219670052351614028502244843<96>
prime factors 素因数
46754707307478264058557236237372093839004268587<47>
13147183761460396406902731745730328931732164333889<50>
factorization results 素因数分解の結果
Mon Nov 05 07:44:28 2007  
Mon Nov 05 07:44:28 2007  Msieve v. 1.28
Mon Nov 05 07:44:28 2007  random seeds: cd76d0a4 bee9a5b5
Mon Nov 05 07:44:28 2007  factoring 614692728684711966341285537593488278848176917343378079725035602868779219670052351614028502244843 (96 digits)
Mon Nov 05 07:44:29 2007  commencing quadratic sieve (96-digit input)
Mon Nov 05 07:44:30 2007  using multiplier of 11
Mon Nov 05 07:44:30 2007  using 64kb Pentium 2 sieve core
Mon Nov 05 07:44:30 2007  sieve interval: 18 blocks of size 65536
Mon Nov 05 07:44:30 2007  processing polynomials in batches of 6
Mon Nov 05 07:44:30 2007  using a sieve bound of 2297747 (84706 primes)
Mon Nov 05 07:44:30 2007  using large prime bound of 344662050 (28 bits)
Mon Nov 05 07:44:30 2007  using double large prime bound of 2329744160961150 (43-52 bits)
Mon Nov 05 07:44:30 2007  using trial factoring cutoff of 52 bits
Mon Nov 05 07:44:30 2007  polynomial 'A' values have 13 factors
Tue Nov 06 21:50:05 2007  85254 relations (21080 full + 64174 combined from 1274004 partial), need 84802
Tue Nov 06 21:50:26 2007  begin with 1295084 relations
Tue Nov 06 21:53:11 2007  reduce to 222278 relations in 12 passes
Tue Nov 06 21:53:12 2007  attempting to read 222278 relations
Tue Nov 06 21:53:48 2007  recovered 222278 relations
Tue Nov 06 21:53:48 2007  recovered 207893 polynomials
Tue Nov 06 21:56:08 2007  attempting to build 85254 cycles
Tue Nov 06 21:56:15 2007  found 85254 cycles in 6 passes
Tue Nov 06 21:56:21 2007  distribution of cycle lengths:
Tue Nov 06 21:56:21 2007     length 1 : 21080
Tue Nov 06 21:56:21 2007     length 2 : 14945
Tue Nov 06 21:56:21 2007     length 3 : 14297
Tue Nov 06 21:56:21 2007     length 4 : 11531
Tue Nov 06 21:56:21 2007     length 5 : 8635
Tue Nov 06 21:56:21 2007     length 6 : 5795
Tue Nov 06 21:56:21 2007     length 7 : 3728
Tue Nov 06 21:56:21 2007     length 9+: 5243
Tue Nov 06 21:56:21 2007  largest cycle: 20 relations
Tue Nov 06 21:56:42 2007  matrix is 84706 x 85254 with weight 5719147 (avg 67.08/col)
Tue Nov 06 21:57:55 2007  filtering completed in 3 passes
Tue Nov 06 21:57:55 2007  matrix is 80583 x 80647 with weight 5410769 (avg 67.09/col)
Tue Nov 06 21:57:59 2007  saving the first 48 matrix rows for later
Tue Nov 06 21:58:00 2007  matrix is 80535 x 80647 with weight 4352733 (avg 53.97/col)
Tue Nov 06 21:58:00 2007  matrix includes 64 packed rows
Tue Nov 06 21:58:00 2007  using block size 10922 for processor cache size 256 kB
Tue Nov 06 21:58:03 2007  commencing Lanczos iteration
Tue Nov 06 22:04:03 2007  lanczos halted after 1275 iterations
Tue Nov 06 22:04:05 2007  recovered 15 nontrivial dependencies
Tue Nov 06 23:20:29 2007  prp47 factor: 46754707307478264058557236237372093839004268587
Tue Nov 06 23:20:29 2007  prp50 factor: 13147183761460396406902731745730328931732164333889
Tue Nov 06 23:20:29 2007  elapsed time 39:36:01
execution environment 実行環境
Pentium3 750MHz,  Windows Me)

9×10126+7

c108

name 名前Sinkiti Sibata
date 日付November 5, 2007 06:26:55 UTC 2007 年 11 月 5 日 (月) 15 時 26 分 55 秒 (日本時間)
composite number 合成数
280958253839541308962636479299682207592405666050712699120756569825329538777009922534463258852005274600090021<108>
prime factors 素因数
13822662893206118250744627949841<32>
20325913755563927082639117313372686004914219990075373791674260136282142256981<77>
factorization results 素因数分解の結果
Number: 90007_126
N=280958253839541308962636479299682207592405666050712699120756569825329538777009922534463258852005274600090021
  ( 108 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=13822662893206118250744627949841 (pp32)
 r2=20325913755563927082639117313372686004914219990075373791674260136282142256981 (pp77)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 3.97 hours.
Scaled time: 2.69 units (timescale=0.676).
Factorization parameters were as follows:
name: 90007_126
n: 280958253839541308962636479299682207592405666050712699120756569825329538777009922534463258852005274600090021
m: 10000000000000000000000000
c5: 90
c0: 7
skew: 0.6
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, 750001)
Primes: RFBsize:49098, AFBsize:64083, largePrimes:2196928 encountered
Relations: rels:2262442, finalFF:171270
Max relations in full relation-set: 28
Initial matrix: 113248 x 171270 with sparse part having weight 16894508.
Pruned matrix : 103160 x 103790 with weight 7851326.
Total sieving time: 3.61 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.22 hours.
Time per square root: 0.06 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: 3.97 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP )

9×10127+7

c120

name 名前Robert Backstrom
date 日付November 5, 2007 00:17:57 UTC 2007 年 11 月 5 日 (月) 9 時 17 分 57 秒 (日本時間)
composite number 合成数
261471084373258793234073118604931139541740141372941259843975962312441089656804995164513553485846647191583678092884296567<120>
prime factors 素因数
33157853781215682395478284485540807<35>
7885645618034098004254139912968642957732499669205257892740457352566043261860258601681<85>
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 261471084373258793234073118604931139541740141372941259843975962312441089656804995164513553485846647191583678092884296567 (120 digits)
Using B1=907500, B2=731114039, polynomial Dickson(3), sigma=3852484092
Step 1 took 10725ms
Step 2 took 7040ms
********** Factor found in step 2: 33157853781215682395478284485540807
Found probable prime factor of 35 digits: 33157853781215682395478284485540807
Probable prime cofactor 7885645618034098004254139912968642957732499669205257892740457352566043261860258601681 has 85 digits

9×10131+7

c85

name 名前Jo Yeong Uk
date 日付November 4, 2007 17:04:35 UTC 2007 年 11 月 5 日 (月) 2 時 4 分 35 秒 (日本時間)
composite number 合成数
1651705311508886027462420179604336574242886949428131140156014177945487040201122692857<85>
prime factors 素因数
2288057282169860293574275141471863042313<40>
721881101657780564083407600404226856588479089<45>
factorization results 素因数分解の結果
Mon Nov  5 01:45:50 2007  
Mon Nov  5 01:45:50 2007  
Mon Nov  5 01:45:50 2007  Msieve v. 1.28
Mon Nov  5 01:45:50 2007  random seeds: 72177c0e 693b4483
Mon Nov  5 01:45:50 2007  factoring 1651705311508886027462420179604336574242886949428131140156014177945487040201122692857 (85 digits)
Mon Nov  5 01:45:50 2007  commencing quadratic sieve (84-digit input)
Mon Nov  5 01:45:50 2007  using multiplier of 5
Mon Nov  5 01:45:50 2007  using 32kb Intel Core sieve core
Mon Nov  5 01:45:50 2007  sieve interval: 12 blocks of size 32768
Mon Nov  5 01:45:50 2007  processing polynomials in batches of 17
Mon Nov  5 01:45:50 2007  using a sieve bound of 1413031 (54118 primes)
Mon Nov  5 01:45:50 2007  using large prime bound of 118694604 (26 bits)
Mon Nov  5 01:45:50 2007  using double large prime bound of 341960341070040 (41-49 bits)
Mon Nov  5 01:45:50 2007  using trial factoring cutoff of 49 bits
Mon Nov  5 01:45:50 2007  polynomial 'A' values have 11 factors
Mon Nov  5 02:05:58 2007  54588 relations (16316 full + 38272 combined from 571175 partial), need 54214
Mon Nov  5 02:05:58 2007  begin with 587491 relations
Mon Nov  5 02:05:58 2007  reduce to 126754 relations in 10 passes
Mon Nov  5 02:05:58 2007  attempting to read 126754 relations
Mon Nov  5 02:05:59 2007  recovered 126754 relations
Mon Nov  5 02:05:59 2007  recovered 102596 polynomials
Mon Nov  5 02:05:59 2007  attempting to build 54588 cycles
Mon Nov  5 02:05:59 2007  found 54588 cycles in 5 passes
Mon Nov  5 02:05:59 2007  distribution of cycle lengths:
Mon Nov  5 02:05:59 2007     length 1 : 16316
Mon Nov  5 02:05:59 2007     length 2 : 11199
Mon Nov  5 02:05:59 2007     length 3 : 9830
Mon Nov  5 02:05:59 2007     length 4 : 6838
Mon Nov  5 02:05:59 2007     length 5 : 4545
Mon Nov  5 02:05:59 2007     length 6 : 2670
Mon Nov  5 02:05:59 2007     length 7 : 1519
Mon Nov  5 02:05:59 2007     length 9+: 1671
Mon Nov  5 02:05:59 2007  largest cycle: 18 relations
Mon Nov  5 02:05:59 2007  matrix is 54118 x 54588 with weight 2840617 (avg 52.04/col)
Mon Nov  5 02:06:00 2007  filtering completed in 3 passes
Mon Nov  5 02:06:00 2007  matrix is 49044 x 49108 with weight 2553112 (avg 51.99/col)
Mon Nov  5 02:06:00 2007  saving the first 48 matrix rows for later
Mon Nov  5 02:06:00 2007  matrix is 48996 x 49108 with weight 1908309 (avg 38.86/col)
Mon Nov  5 02:06:00 2007  matrix includes 64 packed rows
Mon Nov  5 02:06:00 2007  commencing Lanczos iteration
Mon Nov  5 02:06:41 2007  lanczos halted after 776 iterations
Mon Nov  5 02:06:42 2007  recovered 16 nontrivial dependencies
Mon Nov  5 02:06:42 2007  prp40 factor: 2288057282169860293574275141471863042313
Mon Nov  5 02:06:42 2007  prp45 factor: 721881101657780564083407600404226856588479089
Mon Nov  5 02:06:42 2007  elapsed time 00:20:52
execution environment 実行環境
Core 2 Quad Q6600

9×10132+7

c123

name 名前Jo Yeong Uk
date 日付November 5, 2007 03:25:12 UTC 2007 年 11 月 5 日 (月) 12 時 25 分 12 秒 (日本時間)
composite number 合成数
215348467468682007507192912246188645535589219763134333352082775267400780424803384796810560313123800212289002220311443618449<123>
prime factors 素因数
139221663158686554389864242499707408798312738177711<51>
1546802865177850881667388439251649501422697254868710734255734319160698559<73>
factorization results 素因数分解の結果
Number: 90007_132
N=215348467468682007507192912246188645535589219763134333352082775267400780424803384796810560313123800212289002220311443618449
  ( 123 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=139221663158686554389864242499707408798312738177711 (pp51)
 r2=1546802865177850881667388439251649501422697254868710734255734319160698559 (pp73)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 3.77 hours.
Scaled time: 8.02 units (timescale=2.125).
Factorization parameters were as follows:
n: 215348467468682007507192912246188645535589219763134333352082775267400780424803384796810560313123800212289002220311443618449
m: 100000000000000000000000000
c5: 900
c0: 7
skew: 0.38
type: snfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [600000, 1350001)
Primes: RFBsize:92938, AFBsize:92634, largePrimes:1721351 encountered
Relations: rels:1789708, finalFF:239139
Max relations in full relation-set: 28
Initial matrix: 185636 x 239139 with sparse part having weight 15179814.
Pruned matrix : 164618 x 165610 with weight 8472390.
Total sieving time: 3.64 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,132,5,0,0,0,0,0,0,0,0,1200000,1200000,25,25,46,46,2.2,2.2,50000
total time: 3.77 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407677)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405122)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

9×10133+7

c100

name 名前Sinkiti Sibata
date 日付November 5, 2007 20:34:59 UTC 2007 年 11 月 6 日 (火) 5 時 34 分 59 秒 (日本時間)
composite number 合成数
3211192763298772886403404485557143401237610375947392799399813124253179761582114633674548555499665483<100>
prime factors 素因数
25264976655443100325796147326226279933324489<44>
127100563245798676374051740186784449244832505678728530547<57>
factorization results 素因数分解の結果
Number: 90007_133
N=3211192763298772886403404485557143401237610375947392799399813124253179761582114633674548555499665483
  ( 100 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=25264976655443100325796147326226279933324489 (pp44)
 r2=127100563245798676374051740186784449244832505678728530547 (pp57)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 8.81 hours.
Scaled time: 5.96 units (timescale=0.676).
Factorization parameters were as follows:
name: 90007_133
n: 3211192763298772886403404485557143401237610375947392799399813124253179761582114633674548555499665483
m: 100000000000000000000000000
c5: 9000
c0: 7
skew: 0.24
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, 1300001)
Primes: RFBsize:78498, AFBsize:63803, largePrimes:1571280 encountered
Relations: rels:1590409, finalFF:190659
Max relations in full relation-set: 28
Initial matrix: 142368 x 190659 with sparse part having weight 15771459.
Pruned matrix : 127262 x 128037 with weight 8863354.
Total sieving time: 8.34 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.32 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,133,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 8.81 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP )

9×10135+7

c123

name 名前Robert Backstrom
date 日付November 5, 2007 11:19:31 UTC 2007 年 11 月 5 日 (月) 20 時 19 分 31 秒 (日本時間)
composite number 合成数
608461790789514535341427955241331643019831322889419400572308896788480722510373845551247628493647294880837405891288543412637<123>
prime factors 素因数
588447254183867044277609191468715934421424931568990421<54>
1034012456449314522976535796820781617144073180839915839118262268905897<70>
factorization results 素因数分解の結果
Number: n
N=608461790789514535341427955241331643019831322889419400572308896788480722510373845551247628493647294880837405891288543412637
  ( 123 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=588447254183867044277609191468715934421424931568990421 (pp54)
 r2=1034012456449314522976535796820781617144073180839915839118262268905897 (pp70)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 4.84 hours.
Scaled time: 6.28 units (timescale=1.297).
Factorization parameters were as follows:
name: KA_9_0_134_7
n: 608461790789514535341427955241331643019831322889419400572308896788480722510373845551247628493647294880837405891288543412637
skew: 0.95
deg: 5
c5: 9
c0: 7
m: 1000000000000000000000000000
type: snfs
rlim: 2400000
alim: 2400000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 440001)
Primes: RFBsize:176302, AFBsize:176458, largePrimes:5339208 encountered
Relations: rels:4827042, finalFF:398527
Max relations in full relation-set: 48
Initial matrix: 352824 x 398527 with sparse part having weight 16282983.
Pruned matrix : 297861 x 299689 with weight 9125460.
Total sieving time: 3.68 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.99 hours.
Total square root time: 0.04 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,135,5,0,0,0,0,0,0,0,0,2400000,2400000,28,28,48,48,2.5,2.5,75000
total time: 4.84 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

9×10140+7

c125

name 名前Jo Yeong Uk
date 日付November 5, 2007 11:50:21 UTC 2007 年 11 月 5 日 (月) 20 時 50 分 21 秒 (日本時間)
composite number 合成数
37040906958342008436196962352631290237631464821269784853671653578621103961679404648708146669704204687383872089120977255061577<125>
prime factors 素因数
119266962910373522768317901849023<33>
1073502048919627741496999269090973341811523617<46>
289306754986378993892936910082750693641415226647<48>
factorization results 素因数分解の結果
Number: 90007_140
N=37040906958342008436196962352631290237631464821269784853671653578621103961679404648708146669704204687383872089120977255061577
  ( 125 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=119266962910373522768317901849023 (pp33)
 r2=1073502048919627741496999269090973341811523617 (pp46)
 r3=289306754986378993892936910082750693641415226647 (pp48)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 6.15 hours.
Scaled time: 13.17 units (timescale=2.142).
Factorization parameters were as follows:
n: 37040906958342008436196962352631290237631464821269784853671653578621103961679404648708146669704204687383872089120977255061577
m: 10000000000000000000000000000
c5: 9
c0: 7
skew: 0.95
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved algebraic special-q in [750000, 1150001)
Primes: RFBsize:114155, AFBsize:113992, largePrimes:3368728 encountered
Relations: rels:3487641, finalFF:407793
Max relations in full relation-set: 28
Initial matrix: 228211 x 407793 with sparse part having weight 35263251.
Pruned matrix : 168183 x 169388 with weight 13199446.
Total sieving time: 5.98 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,140,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,47,47,2.3,2.3,50000
total time: 6.15 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407677)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405122)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

9×10143+7

c138

name 名前Robert Backstrom
date 日付November 5, 2007 13:22:28 UTC 2007 年 11 月 5 日 (月) 22 時 22 分 28 秒 (日本時間)
composite number 合成数
929672352473909778397100248635705822744537400202255385127101705122391365203190222325978247732890671564318348736626921451982939479362823229<138>
prime factors 素因数
16764671435106466291549252481783<32>
55454254267525152340965490394347806129765919513362592966669387843539324159605808600050322487693263291392363<107>
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 929672352473909778397100248635705822744537400202255385127101705122391365203190222325978247732890671564318348736626921451982939479362823229 (138 digits)
Using B1=499500, B2=312256261, polynomial Dickson(3), sigma=3166951252
Step 1 took 7290ms
Step 2 took 3926ms
********** Factor found in step 2: 16764671435106466291549252481783
Found probable prime factor of 32 digits: 16764671435106466291549252481783
Probable prime cofactor 55454254267525152340965490394347806129765919513362592966669387843539324159605808600050322487693263291392363 has 107 digits

9×10146+7

c123

name 名前Jo Yeong Uk
date 日付November 5, 2007 03:24:32 UTC 2007 年 11 月 5 日 (月) 12 時 24 分 32 秒 (日本時間)
composite number 合成数
436405895597413009831427470875221734471237744065718262897471109582037714957229705273688222098834012718371311903271860969361<123>
prime factors 素因数
23988971368700909013664451648647553<35>
18191938657561789126660465345836496511300044062263632583171015546703249344891910371448337<89>
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 436405895597413009831427470875221734471237744065718262897471109582037714957229705273688222098834012718371311903271860969361 (123 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=443481190
Step 1 took 6738ms
Step 2 took 3816ms
********** Factor found in step 2: 23988971368700909013664451648647553
Found probable prime factor of 35 digits: 23988971368700909013664451648647553
Probable prime cofactor 18191938657561789126660465345836496511300044062263632583171015546703249344891910371448337 has 89 digits
execution environment 実行環境
Core 2 Quad Q6600

9×10147+7

c110

name 名前JMB
date 日付November 5, 2007 02:38:02 UTC 2007 年 11 月 5 日 (月) 11 時 38 分 2 秒 (日本時間)
composite number 合成数
10886736619399035098512956061898787939639386558655598852350544351729238335119678947842962673859214348055610597<110>
prime factors 素因数
102931531869565976194616134711<30>
2005256885602141410291462050850625780121<40>
52744753108364828721861464937342277420987<41>
factorization results 素因数分解の結果
Run 10 out of 100:
Using B1=3000000, B2=5706890290, polynomial Dickson(30), sigma=519784128
********** Factor found in step 2: 102931531869565976194616134711


prp40 factor: 2005256885602141410291462050850625780121
prp41 factor: 52744753108364828721861464937342277420987
software ソフトウェア
Box1:  Msieve v. 1.29
Box2:  GMP-ECM 6.1.3 [powered by GMP 4.2.1] [ECM]
execution environment 実行環境
Box-1: WinXP Pro, AMD-3800
Box-2: WinXP Pro, 3.4ghz P4

9×10150+7

c133

name 名前Jo Yeong Uk
date 日付November 6, 2007 02:25:51 UTC 2007 年 11 月 6 日 (火) 11 時 25 分 51 秒 (日本時間)
composite number 合成数
1398866416610448089159839440560263500294515545943113810621260052431416451996375989188510257329362504846021037950153661991966102374231<133>
prime factors 素因数
589499724724831441087810448027951375963<39>
2372972128635709558872684003447910854760650370032899324921933688620430554494554451055042317237<94>
factorization results 素因数分解の結果
Number: 90007_150
N=1398866416610448089159839440560263500294515545943113810621260052431416451996375989188510257329362504846021037950153661991966102374231
  ( 133 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=589499724724831441087810448027951375963 (pp39)
 r2=2372972128635709558872684003447910854760650370032899324921933688620430554494554451055042317237 (pp94)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 12.90 hours.
Scaled time: 27.68 units (timescale=2.146).
Factorization parameters were as follows:
n: 1398866416610448089159839440560263500294515545943113810621260052431416451996375989188510257329362504846021037950153661991966102374231
m: 1000000000000000000000000000000
c5: 9
c0: 7
skew: 0.95
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 2000001)
Primes: RFBsize:176302, AFBsize:176458, largePrimes:5458981 encountered
Relations: rels:5399088, finalFF:508783
Max relations in full relation-set: 28
Initial matrix: 352824 x 508783 with sparse part having weight 43914106.
Pruned matrix : 281114 x 282942 with weight 22700108.
Total sieving time: 12.40 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.39 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 12.90 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407677)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405122)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

9×10151+7

c98

name 名前JMB
date 日付November 5, 2007 06:22:59 UTC 2007 年 11 月 5 日 (月) 15 時 22 分 59 秒 (日本時間)
composite number 合成数
13256545399423600359916267840513718426848253566914383962661755775015488133660586733750570429630693<98>
prime factors 素因数
6810025963958582438251862479127272552967<40>
1946621858651143417424307752923064400610721325684111628979<58>
factorization results 素因数分解の結果
prp40 factor: 6810025963958582438251862479127272552967
prp58 factor: 1946621858651143417424307752923064400610721325684111628979
software ソフトウェア
MSieve 1.29
execution environment 実行環境
WinXP Pro, AMD-3600

9×10152+7

c113

name 名前JMB
date 日付November 6, 2007 14:27:02 UTC 2007 年 11 月 6 日 (火) 23 時 27 分 2 秒 (日本時間)
composite number 合成数
22316822285230748155355579918287971524363457410543477193060048436134884029929513401524050689699022657845235649123<113>
prime factors 素因数
703840987201156095759020645169329337871<39>
31707193373284828223436939712373236806907701314756561688871528206762760813<74>
factorization results 素因数分解の結果
 r1=703840987201156095759020645169329337871 (pp39)
 r2=31707193373284828223436939712373236806907701314756561688871528206762760813 (pp74)
software ソフトウェア
GGNFS-0.77.1-20060513-athlon-xp
execution environment 実行環境
AMD 3600+ and two cores of an AMD 3800+, WinXP Pro

9×10153+7

c129

name 名前Robert Backstrom
date 日付November 7, 2007 18:13:34 UTC 2007 年 11 月 8 日 (木) 3 時 13 分 34 秒 (日本時間)
composite number 合成数
122636358860564412039100336767082272939485086621808173675665794174642554988798630986018211854909258720752103550308799860577713223<129>
prime factors 素因数
4772486568530653705948719675085861919871051034726502704647793<61>
25696533054533355691086868666739471157508323084478430890473067987511<68>
factorization results 素因数分解の結果
Number: n
N=122636358860564412039100336767082272939485086621808173675665794174642554988798630986018211854909258720752103550308799860577713223
  ( 129 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=4772486568530653705948719675085861919871051034726502704647793 (pp61)
 r2=25696533054533355691086868666739471157508323084478430890473067987511 (pp68)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 26.78 hours.
Scaled time: 35.54 units (timescale=1.327).
Factorization parameters were as follows:
name: KA_9_0_152_7
n: 122636358860564412039100336767082272939485086621808173675665794174642554988798630986018211854909258720752103550308799860577713223
skew: 0.24
deg: 5
c5: 9000
c0: 7
m: 1000000000000000000000000000000
type: snfs
rlim: 2500000
alim: 2500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1100001)
Primes: RFBsize:183072, AFBsize:183101, largePrimes:6782121 encountered
Relations: rels:6200134, finalFF:427533
Max relations in full relation-set: 48
Initial matrix: 366240 x 427533 with sparse part having weight 38208097.
Pruned matrix : 321175 x 323070 with weight 23509586.
Total sieving time: 23.39 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 3.08 hours.
Total square root time: 0.07 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,153,5,0,0,0,0,0,0,0,0,2500000,2500000,28,28,48,48,2.5,2.5,100000
total time: 26.78 hours.
 --------- CPU info (if available) ----------

Cywin on AMD 64 3200+

9×10154+7

c155

name 名前Robert Backstrom
date 日付November 6, 2007 15:51:50 UTC 2007 年 11 月 7 日 (水) 0 時 51 分 50 秒 (日本時間)
composite number 合成数
90000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007<155>
prime factors 素因数
342774283579171568600971909894532466448184589420657720323497289127488139607<75>
262563454469922156375323276959104849917481523961677799993943153957816466910677201<81>
factorization results 素因数分解の結果
Number: n
N=90000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007
  ( 155 digits)
SNFS difficulty: 155 digits.
Divisors found:

Wed Nov 07 02:43:42 2007  prp75 factor: 342774283579171568600971909894532466448184589420657720323497289127488139607
Wed Nov 07 02:43:42 2007  prp81 factor: 262563454469922156375323276959104849917481523961677799993943153957816466910677201
Wed Nov 07 02:43:42 2007  elapsed time 01:08:12 (Msieve 1.29)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 31.83 hours.
Scaled time: 38.16 units (timescale=1.199).
Factorization parameters were as follows:
name: KA_9_0_153_7
n: 90000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007
type: snfs
skew: 1.51
deg: 5
c5: 9
c0: 70
m: 10000000000000000000000000000000
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 50000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 1350000)
Primes: RFBsize:216816, AFBsize:217291, largePrimes:6508656 encountered
Relations: rels:6015638, finalFF:533595
Max relations in full relation-set: 28
Initial matrix: 434171 x 533595 with sparse part having weight 29453920.
Pruned matrix : 345128 x 347362 with weight 15856430.
Total sieving time: 31.59 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,155,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.3,2.3,100000
total time: 31.83 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

9×10160+7

c125

name 名前Jo Yeong Uk
date 日付November 7, 2007 13:25:41 UTC 2007 年 11 月 7 日 (水) 22 時 25 分 41 秒 (日本時間)
composite number 合成数
30381395035404349559261482175363386501616068379879041925147514635035093035613293267212425275525857274850151785739806178832403<125>
prime factors 素因数
9539345889759064940903674568760087065552798466254478738629<58>
3184850972645850020285709503660847208668237617514389096861847478007<67>
factorization results 素因数分解の結果
Number: 90007_160
N=30381395035404349559261482175363386501616068379879041925147514635035093035613293267212425275525857274850151785739806178832403
  ( 125 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=9539345889759064940903674568760087065552798466254478738629 (pp58)
 r2=3184850972645850020285709503660847208668237617514389096861847478007 (pp67)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 30.91 hours.
Scaled time: 66.06 units (timescale=2.137).
Factorization parameters were as follows:
n: 30381395035404349559261482175363386501616068379879041925147514635035093035613293267212425275525857274850151785739806178832403
m: 100000000000000000000000000000000
c5: 9
c0: 7
skew: 0.95
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 3800001)
Primes: RFBsize:283146, AFBsize:283337, largePrimes:5671469 encountered
Relations: rels:5709779, finalFF:661423
Max relations in full relation-set: 28
Initial matrix: 566547 x 661423 with sparse part having weight 42662144.
Pruned matrix : 495804 x 498700 with weight 29440637.
Total sieving time: 29.54 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.24 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 30.91 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407677)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405122)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

9×10161+7

c139

name 名前Robert Backstrom
date 日付December 5, 2007 16:00:24 UTC 2007 年 12 月 6 日 (木) 1 時 0 分 24 秒 (日本時間)
composite number 合成数
1795856109004335763698691572087419453798364220434114608269312678179761222742470512062548832927933855893213113194030583971753238970152693379<139>
prime factors 素因数
2871374186022696036738055549847702632759229312163023359543043<61>
625434371370412843235342091358846490870084281799111208724718685614180061274753<78>
factorization results 素因数分解の結果
Number: n
N=1795856109004335763698691572087419453798364220434114608269312678179761222742470512062548832927933855893213113194030583971753238970152693379
  ( 139 digits)
SNFS difficulty: 161 digits.
Divisors found:

Thu Dec 06 02:15:29 2007  prp61 factor: 2871374186022696036738055549847702632759229312163023359543043
Thu Dec 06 02:15:29 2007  prp78 factor: 625434371370412843235342091358846490870084281799111208724718685614180061274753
Thu Dec 06 02:15:29 2007  elapsed time 01:54:10 (Msieve 1.30)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 65.06 hours.
Scaled time: 84.97 units (timescale=1.306).
Factorization parameters were as follows:
name: KA_9_0_160_7
n: 1795856109004335763698691572087419453798364220434114608269312678179761222742470512062548832927933855893213113194030583971753238970152693379
skew: 0.60
deg: 5
c5: 90
c0: 7
m: 100000000000000000000000000000000
type: snfs
rlim: 3200000
alim: 3200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2300001)
Primes: RFBsize:230209, AFBsize:230767, largePrimes:7363359 encountered
Relations: rels:6836918, finalFF:495414
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 64.81 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.5,2.5,100000
total time: 65.06 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

9×10162+7

c128

name 名前Jo Yeong Uk
date 日付November 6, 2007 06:16:35 UTC 2007 年 11 月 6 日 (火) 15 時 16 分 35 秒 (日本時間)
composite number 合成数
80687672261837364324264911991148874302308744499131295549882738841308281925144892788900215318468000840884405127987727442073218809<128>
prime factors 素因数
688903506523745903246622831283151599<36>
117124780898551182812517761055884645674869174813318998257172923202640159324081908982573296791<93>
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 80687672261837364324264911991148874302308744499131295549882738841308281925144892788900215318468000840884405127987727442073218809 (128 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1722669635
Step 1 took 6707ms
Step 2 took 3804ms
********** Factor found in step 2: 688903506523745903246622831283151599
Found probable prime factor of 36 digits: 688903506523745903246622831283151599
Probable prime cofactor 117124780898551182812517761055884645674869174813318998257172923202640159324081908982573296791 has 93 digits
execution environment 実行環境
Core 2 Quad Q6600

9×10163+7

c153

name 名前Robert Backstrom
date 日付November 10, 2007 21:18:31 UTC 2007 年 11 月 11 日 (日) 6 時 18 分 31 秒 (日本時間)
composite number 合成数
109728893714553854980742941642496184479539542626049635609986238428007354105418652745423356276793313693697545479480233833467867898192710425178858044968781<153>
prime factors 素因数
818470811192938112676337938572201<33>
873583190755642325776044428797599382814221<42>
153466481365034760327052932409167822889494591377902353931701362171082781011161<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 109728893714553854980742941642496184479539542626049635609986238428007354105418652745423356276793313693697545479480233833467867898192710425178858044968781 (153 digits)
Using B1=706500, B2=511749148, polynomial Dickson(3), sigma=1325755017
Step 1 took 11281ms
Step 2 took 6219ms
********** Factor found in step 2: 818470811192938112676337938572201
Found probable prime factor of 33 digits: 818470811192938112676337938572201
Composite cofactor 134065738464908389294733191862713080806437886653151154389264336165712868499470848705785633116618319074552541740190520581 has 120 digits


Number: n
N=134065738464908389294733191862713080806437886653151154389264336165712868499470848705785633116618319074552541740190520581
  ( 120 digits)
SNFS difficulty: 163 digits.
Divisors found:

Sun Nov 11 08:08:38 2007  prp42 factor: 873583190755642325776044428797599382814221
Sun Nov 11 08:08:38 2007  prp78 factor: 153466481365034760327052932409167822889494591377902353931701362171082781011161
Sun Nov 11 08:08:38 2007  elapsed time 01:40:59 (Msieve 1.29)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 63.94 hours.
Scaled time: 83.51 units (timescale=1.306).
Factorization parameters were as follows:
name: KA_9_0_162_7

n: 134065738464908389294733191862713080806437886653151154389264336165712868499470848705785633116618319074552541740190520581

# n: 109728893714553854980742941642496184479539542626049635609986238428007354105418652745423356276793313693697545479480233833467867898192710425178858044968781

skew: 0.16
deg: 5
c5: 9000
c0: 7
m: 100000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2950001)
Primes: RFBsize:216816, AFBsize:217011, largePrimes:7516572 encountered
Relations: rels:6969287, finalFF:457940
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 63.56 hours.
Total relation processing time: 0.38 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 63.94 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

9×10164+7

c143

name 名前JMB
date 日付November 10, 2007 17:18:42 UTC 2007 年 11 月 11 日 (日) 2 時 18 分 42 秒 (日本時間)
composite number 合成数
41477891294139849930077581426387902908139649811039599214373602507505162819672720805568350360651774708934170500698862039720440268675213215508821<143>
prime factors 素因数
2564993881968404917452325855647781<34>
16170756423913671663934778083625100661998605305949217253030068605305369307115708420697061171260255444165225841<110>
factorization results 素因数分解の結果
P1: 2564993881968404917452325855647781
P2: 16170756423913671663934778083625100661998605305949217253030068605305369307115708420697061171260255444165225841
software ソフトウェア
Method=ECM  B1=3000000  Sigma=652730646
execution environment 実行環境
WinXP Pro

9×10165+7

c141

name 名前Robert Backstrom
date 日付February 1, 2008 07:32:37 UTC 2008 年 2 月 1 日 (金) 16 時 32 分 37 秒 (日本時間)
composite number 合成数
177526225727465427375076325956215494327313122747943829679376540302091740288043953526266170975409861004259333830654434655259996183735344107473<141>
prime factors 素因数
316632999964816314980011979278660259022505001<45>
74603769316589492099122294657235536113237612649<47>
7515287056062349794626336991939024137322161656577<49>
factorization results 素因数分解の結果
Number: n
N=177526225727465427375076325956215494327313122747943829679376540302091740288043953526266170975409861004259333830654434655259996183735344107473
  ( 141 digits)
SNFS difficulty: 165 digits.
Divisors found:

Fri Feb 01 18:19:06 2008  prp45 factor: 316632999964816314980011979278660259022505001
Fri Feb 01 18:19:06 2008  prp47 factor: 74603769316589492099122294657235536113237612649
Fri Feb 01 18:19:06 2008  prp49 factor: 7515287056062349794626336991939024137322161656577
Fri Feb 01 18:19:06 2008  elapsed time 01:04:51 (Msieve 1.33)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 40.01 hours.
Scaled time: 73.18 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_9_0_164_7
n: 177526225727465427375076325956215494327313122747943829679376540302091740288043953526266170975409861004259333830654434655259996183735344107473
skew: 0.95
deg: 5
c5: 9
c0: 7
m: 1000000000000000000000000000000000
type: snfs
rlim: 3200000
alim: 3200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 3000791)
Primes: RFBsize:230209, AFBsize:230717, largePrimes:7426505 encountered
Relations: rels:6885081, finalFF:513570
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 39.83 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.5,2.5,100000
total time: 40.01 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

9×10169+7

c158

name 名前JMB
date 日付November 11, 2007 05:39:45 UTC 2007 年 11 月 11 日 (日) 14 時 39 分 45 秒 (日本時間)
composite number 合成数
29814725100746375986175466119190517967653065812214834541042427369818393373119340059587277385471152159671462989329424064582843129527650933660369603393570914793<158>
prime factors 素因数
56769904881370799699375018291651<32>
525185398197314224568248713026766256427182001005757531713576174925963787257959304880282840700874560113146274753741218461103843<126>
factorization results 素因数分解の結果
P1: 56769904881370799699375018291651
P2: 525185398197314224568248713026766256427182001005757531713576174925963787257959304880282840700874560113146274753741218461103843
software ソフトウェア
B1: 3000000, Sigma: 2265572958
execution environment 実行環境
WinXP Pro

9×10170+7

c167

name 名前Tyler Cadigan
date 日付January 30, 2008 08:59:48 UTC 2008 年 1 月 30 日 (水) 17 時 59 分 48 秒 (日本時間)
composite number 合成数
77633054429397049943931682912102130596049340119037350125075476580695247131889933580608988182523936858449064090399378935564564823600448546536703182955231605279047701199<167>
prime factors 素因数
647317419452212964571902174202614495944617659<45>
439565483361516384512985467534108059954554466647701<51>
272838590381901265341010790500512053115606212399648275844615354818716361<72>
factorization results 素因数分解の結果
Number: 90007_170
N=77633054429397049943931682912102130596049340119037350125075476580695247131889933580608988182523936858449064090399378935564564823600448546536703182955231605279047701199
  ( 167 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=647317419452212964571902174202614495944617659
 r2=439565483361516384512985467534108059954554466647701
 r3=272838590381901265341010790500512053115606212399648275844615354818716361
Version: 
Total time: 93.71 hours.
Scaled time: 242.25 units (timescale=2.585).
Factorization parameters were as follows:
n: 77633054429397049943931682912102130596049340119037350125075476580695247131889933580608988182523936858449064090399378935564564823600448546536703182955231605279047701199
m: 10000000000000000000000000000000000
c5: 9
c4: 0
c3: 0
c2: 0
c1: 0
c0: 7
skew: 0.95
type: snfs
Y1: 1
Y0: -10000000000000000000000000000000000
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3000000, 7700001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 745800 x 746047
Total sieving time: 93.71 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,48,48,2.6,2.6,100000
total time: 93.71 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS + Msieve
execution environment 実行環境
core 2 quad Q6600 2.40 GHz, 2 gb RAM

9×10172+7

c139

name 名前Sinkiti Sibata
date 日付April 30, 2010 12:51:56 UTC 2010 年 4 月 30 日 (金) 21 時 51 分 56 秒 (日本時間)
composite number 合成数
1633019445924847816531623793088519593143052670462098809010469605276068047839854684755659741797328084812412861913726530845395333282204353831<139>
prime factors 素因数
59637355769764003773393044656644535007043331503234583411<56>
27382492480539936276791175824084954351631345763429132395991529184934063839601220221<83>
factorization results 素因数分解の結果
Number: 90007_172
N=1633019445924847816531623793088519593143052670462098809010469605276068047839854684755659741797328084812412861913726530845395333282204353831
  ( 139 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=59637355769764003773393044656644535007043331503234583411 (pp56)
 r2=27382492480539936276791175824084954351631345763429132395991529184934063839601220221 (pp83)
Version: Msieve-1.40
Total time: 83.83 hours.
Scaled time: 266.07 units (timescale=3.174).
Factorization parameters were as follows:
name: 90007_172
n: 1633019445924847816531623793088519593143052670462098809010469605276068047839854684755659741797328084812412861913726530845395333282204353831
m: 10000000000000000000000000000000000
deg: 5
c5: 900
c0: 7
skew: 0.38
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, 6650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1071821 x 1072069
Total sieving time: 80.71 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 2.34 hours.
Time per square root: 0.67 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: 83.83 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 5, 2007 09:00:00 UTC 2007 年 11 月 5 日 (月) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiSeptember 13, 2009 07:35:08 UTC 2009 年 9 月 13 日 (日) 16 時 35 分 8 秒 (日本時間)

9×10173+7

c165

name 名前JMB
date 日付November 10, 2007 21:53:05 UTC 2007 年 11 月 11 日 (日) 6 時 53 分 5 秒 (日本時間)
composite number 合成数
326257001079656555620600044386974990664092475244306616586270168746968730343253580680646440097320679883788981752454267293725324251816488326511994851513719726964955499<165>
prime factors 素因数
4204449134966651726234511502249<31>
77598037366254001837116882823105292830227805356149887771917581121716866409828186604482406682111147355193961123945624774784312354859251<134>
factorization results 素因数分解の結果
P1: 4204449134966651726234511502249
P2: 77598037366254001837116882823105292830227805356149887771917581121716866409828186604482406682111147355193961123945624774784312354859251
software ソフトウェア
ECM
B1: 3000000, Sigma: 2897406131
execution environment 実行環境
WinXP Pro

9×10177+7

c145

name 名前JMB
date 日付November 11, 2007 17:36:57 UTC 2007 年 11 月 12 日 (月) 2 時 36 分 57 秒 (日本時間)
composite number 合成数
1795553062822861100686766632564537248099353989695198886282655357258496655061340541028533424681175582687045767286616620342877133297583950007116263<145>
prime factors 素因数
231363885166211856645528826109773<33>
7760731807961019750154843183467424612751080704744319434512584619725381829268383039969389480897051376995338032131<112>
factorization results 素因数分解の結果
P1: 231363885166211856645528826109773
P2: 7760731807961019750154843183467424612751080704744319434512584619725381829268383039969389480897051376995338032131
software ソフトウェア
B1: 3000000, Sigma: 2512640220
execution environment 実行環境
WinXP Pro

9×10178+7

c177

name 名前JMB
date 日付November 14, 2007 20:25:13 UTC 2007 年 11 月 15 日 (木) 5 時 25 分 13 秒 (日本時間)
composite number 合成数
604026845637583892617449664429530201342281879194630872483221476510067114093959731543624161073825503355704697986577181208053691275167785234899328859060402684563758389261744966443<177>
prime factors 素因数
34477381911603229695013790339605181<35>
composite cofactor 合成数の残り
17519510245477803843772234672206519263441432562534062592219996721821259842723144120268391140425192935308257597913633559158414046764815248848903<143>
factorization results 素因数分解の結果
P1: 34477381911603229695013790339605181
C1: 17519510245477803843772234672206519263441432562534062592219996721821259842723144120268391140425192935308257597913633559158414046764815248848903 (C143)
software ソフトウェア
B1: 3000000, Sigma: 1063157681
execution environment 実行環境
WinXP Pro

c143

name 名前Ben Meekins
date 日付October 16, 2013 21:18:35 UTC 2013 年 10 月 17 日 (木) 6 時 18 分 35 秒 (日本時間)
composite number 合成数
17519510245477803843772234672206519263441432562534062592219996721821259842723144120268391140425192935308257597913633559158414046764815248848903<143>
prime factors 素因数
33122271528685322696431320399610814886866058262192470354090077<62>
528934443107416369616401547326191577278980257832232752196080088752266739605666739<81>
factorization results 素因数分解の結果
Number: 90007_178
N = 17519510245477803843772234672206519263441432562534062592219996721821259842723144120268391140425192935308257597913633559158414046764815248848903 (143 digits)
SNFS difficulty: 179 digits.
Divisors found:
r1=33122271528685322696431320399610814886866058262192470354090077 (pp62)
r2=528934443107416369616401547326191577278980257832232752196080088752266739605666739 (pp81)
Version: Msieve v. 1.52 (SVN 945M)
Total time: 25.88 hours.
Factorization parameters were as follows:
n: 17519510245477803843772234672206519263441432562534062592219996721821259842723144120268391140425192935308257597913633559158414046764815248848903
m: 100000000000000000000000000000000000
deg: 5
c5: 9000
c0: 7
skew: 0.24
# Murphy_E = 1.049e-10
type: snfs
lss: 1
rlim: 6700000
alim: 6700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 200000
Factor base limits: 6700000/6700000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 18609843
Relations: 2387662 relations
Pruned matrix : 1404004 x 1404234
Polynomial selection time: 0.00 hours.
Total sieving time: 23.76 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.39 hours.
time per square root: 0.57 hours.
Prototype def-par.txt line would be: snfs,179,5,0,0,0,0,0,0,0,0,6700000,6700000,28,28,53,53,2.5,2.5,200000
total time: 25.88 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.00GHz
software ソフトウェア
MSieve V1.52 (SVN 945)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 5, 2007 09:00:00 UTC 2007 年 11 月 5 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosNovember 7, 2010 09:37:43 UTC 2010 年 11 月 7 日 (日) 18 時 37 分 43 秒 (日本時間)
403e62144110Ignacio SantosNovember 7, 2010 09:37:43 UTC 2010 年 11 月 7 日 (日) 18 時 37 分 43 秒 (日本時間)
2034Wataru SakaiMarch 22, 2012 05:31:24 UTC 2012 年 3 月 22 日 (木) 14 時 31 分 24 秒 (日本時間)
4511e6232 / 399132Ignacio SantosNovember 7, 2010 09:37:43 UTC 2010 年 11 月 7 日 (日) 18 時 37 分 43 秒 (日本時間)
200Rich DickersonJune 15, 2013 21:48:11 UTC 2013 年 6 月 16 日 (日) 6 時 48 分 11 秒 (日本時間)

9×10179+7

c157

name 名前JMB
date 日付November 12, 2007 15:28:05 UTC 2007 年 11 月 13 日 (火) 0 時 28 分 5 秒 (日本時間)
composite number 合成数
7819753829265183989158649938871596395845588524959616734004618973088677426406303147453899489575526734919703179668160825311783210190007028119622637215357026929<157>
prime factors 素因数
1707358559977705545311234918697001<34>
4580030236511827524816894288626065240922568714998170751384355667293248449614016116415020750898340461128531874477462326513929<124>
factorization results 素因数分解の結果
P1: 1707358559977705545311234918697001
P2: 4580030236511827524816894288626065240922568714998170751384355667293248449614016116415020750898340461128531874477462326513929
software ソフトウェア
B1: 3000000, Sigma: 1191697203
execution environment 実行環境
WinXP Pro

9×10181+7

c173

name 名前matsui
date 日付May 7, 2009 08:28:09 UTC 2009 年 5 月 7 日 (木) 17 時 28 分 9 秒 (日本時間)
composite number 合成数
18120081741838987135702528960878175958142624061743400579806899044392007938948997541016521900397586625693782117566794488427863577386037399597852690665766112563271351607908637<173>
prime factors 素因数
8512657957698933206364996840866746830424447731789547<52>
2128604465477319399779522456754361848962080507428346805103942531536208640072972366805607636173490224009642228179113256471<121>
factorization results 素因数分解の結果
N=18120081741838987135702528960878175958142624061743400579806899044392007938948997541016521900397586625693782117566794488427863577386037399597852690665766112563271351607908637
  ( 173 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=8512657957698933206364996840866746830424447731789547 (pp52)
 r2=2128604465477319399779522456754361848962080507428346805103942531536208640072972366805607636173490224009642228179113256471 (pp121)
Version: GGNFS-0.77.1-20060722-nocona

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 5, 2007 09:00:00 UTC 2007 年 11 月 5 日 (月) 18 時 0 分 0 秒 (日本時間)

9×10182+7

c134

name 名前JMB
date 日付November 12, 2007 04:23:46 UTC 2007 年 11 月 12 日 (月) 13 時 23 分 46 秒 (日本時間)
composite number 合成数
16206277967339903872732121639344146292774164129361701318165043548250632106008507719402062309643873775897275488018233233603565858154987<134>
prime factors 素因数
6744944339966240521048365048076011509<37>
19234654468418325743668292529120757280653<41>
124916706233941797813783021695951936693773474351449547931<57>
factorization results 素因数分解の結果
ECM produced
P1: 6744944339966240521048365048076011509


MSieve produced
P2: 19234654468418325743668292529120757280653
P3: 124916706233941797813783021695951936693773474351449547931
software ソフトウェア
B1: 3000000, Sigma: 3205671956

Msieve v. 1.29
execution environment 実行環境
WinXP Pro

9×10183+7

c164

name 名前JMB
date 日付November 10, 2007 17:16:40 UTC 2007 年 11 月 11 日 (日) 2 時 16 分 40 秒 (日本時間)
composite number 合成数
25946953254199247959901940373994215479761030430879789689840934961095602368788690649390754076843492173835156961802100547255902176005327700170345768324911582266232899<164>
prime factors 素因数
81464545498575947436007410472506863<35>
318506082558980426195556346049653444619519149682263511747011957601975589600934055977483795167502851069663481908650764978825371373<129>
factorization results 素因数分解の結果
P1:  81464545498575947436007410472506863
P2: 318506082558980426195556346049653444619519149682263511747011957601975589600934055977483795167502851069663481908650764978825371373
software ソフトウェア
Method=ECM  B1=3000000  Sigma=2615577722
execution environment 実行環境
WinXP Pro

9×10184+7

c112

name 名前JMB
date 日付November 5, 2007 18:44:37 UTC 2007 年 11 月 6 日 (火) 3 時 44 分 37 秒 (日本時間)
composite number 合成数
3802578350561341611244640256920011158858541321182157271709746238880215145977029675258776224921799963663660380307<112>
prime factors 素因数
11636058351571852705216457129789359016330456971195199<53>
326792650541123463809952364790176505238645003791330917413293<60>
factorization results 素因数分解の結果
 r1=11636058351571852705216457129789359016330456971195199 (pp53)
 r2=326792650541123463809952364790176505238645003791330917413293 (pp60)
software ソフトウェア
GGNFS-0.77.1-20060513-athlon-xp
execution environment 実行環境
AMD-3600+ and two cores of an AMD-3800+, both running WinXP Pro

9×10185+7

c180

name 名前Wataru Sakai
date 日付November 22, 2008 04:18:26 UTC 2008 年 11 月 22 日 (土) 13 時 18 分 26 秒 (日本時間)
composite number 合成数
276064219899261098778538522154613753948868612142347300444678110653287572110274772852826176777416474469734312727388730015634436986961486894157898304689625598637592400994935448516937<180>
prime factors 素因数
16002389063807038301896669024272082879641164981792275113754829766261058133472766404528443<89>
17251437819596683036560616627382651350704560527929204910892350271133158669382239777179811659<92>
factorization results 素因数分解の結果
Number: 90007_185
N=276064219899261098778538522154613753948868612142347300444678110653287572110274772852826176777416474469734312727388730015634436986961486894157898304689625598637592400994935448516937
  ( 180 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=16002389063807038301896669024272082879641164981792275113754829766261058133472766404528443
 r2=17251437819596683036560616627382651350704560527929204910892350271133158669382239777179811659
Version: 
Total time: 307.81 hours.
Scaled time: 612.84 units (timescale=1.991).
Factorization parameters were as follows:
n: 276064219899261098778538522154613753948868612142347300444678110653287572110274772852826176777416474469734312727388730015634436986961486894157898304689625598637592400994935448516937
m: 10000000000000000000000000000000000000
deg: 5
c5: 9
c0: 7
skew: 0.95
type: snfs
lss: 1
rlim: 10500000
alim: 10500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.7
alambda: 2.7
Factor base limits: 10500000/10500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5250000, 8150001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1277949 x 1278197
Total sieving time: 307.81 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,185,5,0,0,0,0,0,0,0,0,10500000,10500000,28,28,55,55,2.7,2.7,100000
total time: 307.81 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 KamadaNovember 5, 2007 09:00:00 UTC 2007 年 11 月 5 日 (月) 18 時 0 分 0 秒 (日本時間)

9×10187+7

c156

name 名前LegionMammal978
date 日付July 11, 2017 17:59:08 UTC 2017 年 7 月 12 日 (水) 2 時 59 分 8 秒 (日本時間)
composite number 合成数
240621347156878395717353995031867903152072461183964318840499956323546240806461387966322565956962772553032595105513180633338915791852714974018541998807455479<156>
prime factors 素因数
46713538271396399288601288628180779266286619539229457831275785464552417<71>
5150998105922014663665893801435813375125865465877686848176569656698182698626488585687<85>
factorization results 素因数分解の結果
Tue Jul 11 11:04:59 2017  Msieve v. 1.53 (SVN Unversioned directory)
Tue Jul 11 11:04:59 2017  random seeds: d7024cde b9d8243f
Tue Jul 11 11:04:59 2017  factoring 240621347156878395717353995031867903152072461183964318840499956323546240806461387966322565956962772553032595105513180633338915791852714974018541998807455479 (156 digits)
Tue Jul 11 11:05:00 2017  no P-1/P+1/ECM available, skipping
Tue Jul 11 11:05:00 2017  commencing number field sieve (156-digit input)
Tue Jul 11 11:05:00 2017  R0: -10000000000000000000000000000000000000
Tue Jul 11 11:05:00 2017  R1: 1
Tue Jul 11 11:05:00 2017  A0: 7
Tue Jul 11 11:05:00 2017  A1: 0
Tue Jul 11 11:05:00 2017  A2: 0
Tue Jul 11 11:05:00 2017  A3: 0
Tue Jul 11 11:05:00 2017  A4: 0
Tue Jul 11 11:05:00 2017  A5: 900
Tue Jul 11 11:05:00 2017  skew 0.38, size 3.026e-13, alpha 0.791, combined = 4.040e-11 rroots = 1
Tue Jul 11 11:05:00 2017  
Tue Jul 11 11:05:00 2017  commencing relation filtering
Tue Jul 11 11:05:00 2017  estimated available RAM is 15929.4 MB
Tue Jul 11 11:05:00 2017  commencing duplicate removal, pass 1
Tue Jul 11 11:07:52 2017  skipped 1 relations with b > 2^32
Tue Jul 11 11:07:52 2017  found 3397332 hash collisions in 22363657 relations
Tue Jul 11 11:08:12 2017  added 336 free relations
Tue Jul 11 11:08:12 2017  commencing duplicate removal, pass 2
Tue Jul 11 11:08:18 2017  found 3097516 duplicates and 19266477 unique relations
Tue Jul 11 11:08:18 2017  memory use: 106.6 MB
Tue Jul 11 11:08:18 2017  reading ideals above 720000
Tue Jul 11 11:08:18 2017  commencing singleton removal, initial pass
Tue Jul 11 11:10:26 2017  memory use: 689.0 MB
Tue Jul 11 11:10:26 2017  reading all ideals from disk
Tue Jul 11 11:10:26 2017  memory use: 615.5 MB
Tue Jul 11 11:10:27 2017  keeping 21430196 ideals with weight <= 200, target excess is 116035
Tue Jul 11 11:10:28 2017  commencing in-memory singleton removal
Tue Jul 11 11:10:29 2017  begin with 19266477 relations and 21430196 unique ideals
Tue Jul 11 11:10:40 2017  reduce to 7817762 relations and 7643534 ideals in 19 passes
Tue Jul 11 11:10:40 2017  max relations containing the same ideal: 109
Tue Jul 11 11:10:42 2017  removing 314168 relations and 294354 ideals in 19814 cliques
Tue Jul 11 11:10:42 2017  commencing in-memory singleton removal
Tue Jul 11 11:10:43 2017  begin with 7503594 relations and 7643534 unique ideals
Tue Jul 11 11:10:46 2017  reduce to 7491828 relations and 7337352 ideals in 8 passes
Tue Jul 11 11:10:46 2017  max relations containing the same ideal: 107
Tue Jul 11 11:10:48 2017  removing 225461 relations and 205647 ideals in 19814 cliques
Tue Jul 11 11:10:48 2017  commencing in-memory singleton removal
Tue Jul 11 11:10:49 2017  begin with 7266367 relations and 7337352 unique ideals
Tue Jul 11 11:10:52 2017  reduce to 7260089 relations and 7125404 ideals in 10 passes
Tue Jul 11 11:10:52 2017  max relations containing the same ideal: 107
Tue Jul 11 11:10:54 2017  relations with 0 large ideals: 2868
Tue Jul 11 11:10:54 2017  relations with 1 large ideals: 820
Tue Jul 11 11:10:54 2017  relations with 2 large ideals: 15491
Tue Jul 11 11:10:54 2017  relations with 3 large ideals: 125018
Tue Jul 11 11:10:54 2017  relations with 4 large ideals: 542689
Tue Jul 11 11:10:54 2017  relations with 5 large ideals: 1366731
Tue Jul 11 11:10:54 2017  relations with 6 large ideals: 2134652
Tue Jul 11 11:10:54 2017  relations with 7+ large ideals: 3071820
Tue Jul 11 11:10:54 2017  commencing 2-way merge
Tue Jul 11 11:10:57 2017  reduce to 4229072 relation sets and 4094387 unique ideals
Tue Jul 11 11:10:57 2017  commencing full merge
Tue Jul 11 11:11:45 2017  memory use: 493.9 MB
Tue Jul 11 11:11:46 2017  found 2160199 cycles, need 2148587
Tue Jul 11 11:11:46 2017  weight of 2148587 cycles is about 150588537 (70.09/cycle)
Tue Jul 11 11:11:46 2017  distribution of cycle lengths:
Tue Jul 11 11:11:46 2017  1 relations: 325417
Tue Jul 11 11:11:46 2017  2 relations: 282715
Tue Jul 11 11:11:46 2017  3 relations: 260049
Tue Jul 11 11:11:46 2017  4 relations: 221092
Tue Jul 11 11:11:46 2017  5 relations: 190194
Tue Jul 11 11:11:46 2017  6 relations: 155506
Tue Jul 11 11:11:46 2017  7 relations: 131684
Tue Jul 11 11:11:46 2017  8 relations: 107641
Tue Jul 11 11:11:46 2017  9 relations: 88031
Tue Jul 11 11:11:46 2017  10+ relations: 386258
Tue Jul 11 11:11:46 2017  heaviest cycle: 28 relations
Tue Jul 11 11:11:46 2017  commencing cycle optimization
Tue Jul 11 11:11:49 2017  start with 12381685 relations
Tue Jul 11 11:12:01 2017  pruned 263112 relations
Tue Jul 11 11:12:01 2017  memory use: 417.1 MB
Tue Jul 11 11:12:01 2017  distribution of cycle lengths:
Tue Jul 11 11:12:01 2017  1 relations: 325417
Tue Jul 11 11:12:01 2017  2 relations: 288582
Tue Jul 11 11:12:01 2017  3 relations: 268351
Tue Jul 11 11:12:01 2017  4 relations: 225026
Tue Jul 11 11:12:01 2017  5 relations: 192952
Tue Jul 11 11:12:01 2017  6 relations: 156361
Tue Jul 11 11:12:01 2017  7 relations: 131552
Tue Jul 11 11:12:01 2017  8 relations: 106642
Tue Jul 11 11:12:01 2017  9 relations: 86531
Tue Jul 11 11:12:01 2017  10+ relations: 367173
Tue Jul 11 11:12:01 2017  heaviest cycle: 27 relations
Tue Jul 11 11:12:03 2017  RelProcTime: 423
Tue Jul 11 11:12:04 2017  elapsed time 00:07:05
Tue Jul 11 11:12:04 2017 LatSieveTime: 1371.28
Tue Jul 11 11:12:04 2017 -> Running matrix solving step ...
Tue Jul 11 11:12:04 2017 -> ./msieve -s 90007_187/90007_187.dat -l 90007_187/90007_187.log -i 90007_187/90007_187.ini -nf 90007_187/90007_187.fb -t 4 -nc2
Tue Jul 11 11:12:04 2017  
Tue Jul 11 11:12:04 2017  
Tue Jul 11 11:12:04 2017  Msieve v. 1.53 (SVN Unversioned directory)
Tue Jul 11 11:12:04 2017  random seeds: 795eb673 b06e83d5
Tue Jul 11 11:12:04 2017  factoring 240621347156878395717353995031867903152072461183964318840499956323546240806461387966322565956962772553032595105513180633338915791852714974018541998807455479 (156 digits)
Tue Jul 11 11:12:05 2017  no P-1/P+1/ECM available, skipping
Tue Jul 11 11:12:05 2017  commencing number field sieve (156-digit input)
Tue Jul 11 11:12:05 2017  R0: -10000000000000000000000000000000000000
Tue Jul 11 11:12:05 2017  R1: 1
Tue Jul 11 11:12:05 2017  A0: 7
Tue Jul 11 11:12:05 2017  A1: 0
Tue Jul 11 11:12:05 2017  A2: 0
Tue Jul 11 11:12:05 2017  A3: 0
Tue Jul 11 11:12:05 2017  A4: 0
Tue Jul 11 11:12:05 2017  A5: 900
Tue Jul 11 11:12:05 2017  skew 0.38, size 3.026e-13, alpha 0.791, combined = 4.040e-11 rroots = 1
Tue Jul 11 11:12:05 2017  
Tue Jul 11 11:12:05 2017  commencing linear algebra
Tue Jul 11 11:12:05 2017  read 2148587 cycles
Tue Jul 11 11:12:07 2017  cycles contain 7086977 unique relations
Tue Jul 11 11:12:44 2017  read 7086977 relations
Tue Jul 11 11:12:49 2017  using 20 quadratic characters above 4294917295
Tue Jul 11 11:13:19 2017  building initial matrix
Tue Jul 11 11:14:03 2017  memory use: 845.3 MB
Tue Jul 11 11:14:04 2017  read 2148587 cycles
Tue Jul 11 11:14:04 2017  matrix is 2148407 x 2148587 (645.3 MB) with weight 186953180 (87.01/col)
Tue Jul 11 11:14:04 2017  sparse part has weight 145538145 (67.74/col)
Tue Jul 11 11:14:18 2017  filtering completed in 2 passes
Tue Jul 11 11:14:18 2017  matrix is 2145733 x 2145913 (645.1 MB) with weight 186864701 (87.08/col)
Tue Jul 11 11:14:18 2017  sparse part has weight 145504948 (67.81/col)
Tue Jul 11 11:14:22 2017  matrix starts at (0, 0)
Tue Jul 11 11:14:23 2017  matrix is 2145733 x 2145913 (645.1 MB) with weight 186864701 (87.08/col)
Tue Jul 11 11:14:23 2017  sparse part has weight 145504948 (67.81/col)
Tue Jul 11 11:14:23 2017  saving the first 48 matrix rows for later
Tue Jul 11 11:14:23 2017  matrix includes 64 packed rows
Tue Jul 11 11:14:23 2017  matrix is 2145685 x 2145913 (611.8 MB) with weight 150264460 (70.02/col)
Tue Jul 11 11:14:23 2017  sparse part has weight 138919042 (64.74/col)
Tue Jul 11 11:14:23 2017  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Tue Jul 11 11:14:28 2017  commencing Lanczos iteration (4 threads)
Tue Jul 11 11:14:28 2017  memory use: 492.8 MB
Tue Jul 11 11:14:35 2017  linear algebra at 0.1%, ETA 2h21m
Tue Jul 11 11:14:37 2017  checkpointing every 920000 dimensions
Tue Jul 11 13:26:46 2017  lanczos halted after 33935 iterations (dim = 2145683)
Tue Jul 11 13:26:48 2017  recovered 40 nontrivial dependencies
Tue Jul 11 13:26:48 2017  BLanczosTime: 8083
Tue Jul 11 13:26:48 2017  elapsed time 02:14:44
Tue Jul 11 13:26:48 2017 -> Running square root step ...
Tue Jul 11 13:26:48 2017 -> ./msieve -s 90007_187/90007_187.dat -l 90007_187/90007_187.log -i 90007_187/90007_187.ini -nf 90007_187/90007_187.fb -t 4 -nc3
Tue Jul 11 13:26:48 2017  
Tue Jul 11 13:26:48 2017  
Tue Jul 11 13:26:48 2017  Msieve v. 1.53 (SVN Unversioned directory)
Tue Jul 11 13:26:48 2017  random seeds: 5356146c ee6b10bf
Tue Jul 11 13:26:48 2017  factoring 240621347156878395717353995031867903152072461183964318840499956323546240806461387966322565956962772553032595105513180633338915791852714974018541998807455479 (156 digits)
Tue Jul 11 13:26:48 2017  no P-1/P+1/ECM available, skipping
Tue Jul 11 13:26:48 2017  commencing number field sieve (156-digit input)
Tue Jul 11 13:26:48 2017  R0: -10000000000000000000000000000000000000
Tue Jul 11 13:26:48 2017  R1: 1
Tue Jul 11 13:26:48 2017  A0: 7
Tue Jul 11 13:26:48 2017  A1: 0
Tue Jul 11 13:26:48 2017  A2: 0
Tue Jul 11 13:26:48 2017  A3: 0
Tue Jul 11 13:26:48 2017  A4: 0
Tue Jul 11 13:26:48 2017  A5: 900
Tue Jul 11 13:26:48 2017  skew 0.38, size 3.026e-13, alpha 0.791, combined = 4.040e-11 rroots = 1
Tue Jul 11 13:26:48 2017  
Tue Jul 11 13:26:48 2017  commencing square root phase
Tue Jul 11 13:26:48 2017  reading relations for dependency 1
Tue Jul 11 13:26:49 2017  read 1072904 cycles
Tue Jul 11 13:26:50 2017  cycles contain 3542534 unique relations
Tue Jul 11 13:27:09 2017  read 3542534 relations
Tue Jul 11 13:27:21 2017  multiplying 3542534 relations
Tue Jul 11 13:29:10 2017  multiply complete, coefficients have about 112.28 million bits
Tue Jul 11 13:29:11 2017  initial square root is modulo 114575191
Tue Jul 11 13:31:26 2017  sqrtTime: 278
Tue Jul 11 13:31:26 2017  p71 factor: 46713538271396399288601288628180779266286619539229457831275785464552417
Tue Jul 11 13:31:26 2017  p85 factor: 5150998105922014663665893801435813375125865465877686848176569656698182698626488585687
Tue Jul 11 13:31:26 2017  elapsed time 00:04:38
software ソフトウェア
Msieve 1.53 snfs
execution environment 実行環境
Core i7-2600K 3.4GHz, Ubuntu 16.04.2 LTS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 5, 2007 09:00:00 UTC 2007 年 11 月 5 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosNovember 7, 2010 09:38:10 UTC 2010 年 11 月 7 日 (日) 18 時 38 分 10 秒 (日本時間)
403e6110Ignacio SantosNovember 7, 2010 09:38:10 UTC 2010 年 11 月 7 日 (日) 18 時 38 分 10 秒 (日本時間)
4511e6632 / 444132Ignacio SantosNovember 7, 2010 09:38:10 UTC 2010 年 11 月 7 日 (日) 18 時 38 分 10 秒 (日本時間)
600Rich DickersonNovember 9, 2013 23:16:00 UTC 2013 年 11 月 10 日 (日) 8 時 16 分 0 秒 (日本時間)

9×10188+7

c152

name 名前Grotex
date 日付December 18, 2018 13:07:51 UTC 2018 年 12 月 18 日 (火) 22 時 7 分 51 秒 (日本時間)
composite number 合成数
15971542021600508622319355227196166051435400544466499230869687565476299432098383275387383260213256675227142385710526846682243190058269989430888225372191<152>
prime factors 素因数
9857216882224395788109410836799949354351431049382161908324691958385418337<73>
1620289196477164673905031142171129456605299656839595026747243005712516280150143<79>
factorization results 素因数分解の結果
Number: 90007_188
N = 15971542021600508622319355227196166051435400544466499230869687565476299432098383275387383260213256675227142385710526846682243190058269989430888225372191 (152 digits)
SNFS difficulty: 189 digits.
Divisors found:
r1=9857216882224395788109410836799949354351431049382161908324691958385418337 (pp73)
r2=1620289196477164673905031142171129456605299656839595026747243005712516280150143 (pp79)
Version: Msieve v. 1.53 (SVN 1005)
Total time: 108.94 hours.
Factorization parameters were as follows:
n: 15971542021600508622319355227196166051435400544466499230869687565476299432098383275387383260213256675227142385710526846682243190058269989430888225372191
m: 10000000000000000000000000000000000000
deg: 5
c5: 9000
c0: 7
skew: 0.24
# Murphy_E = 4.125e-11
type: snfs
lss: 1
rlim: 9900000
alim: 9900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9900000/9900000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 22235277
Relations: 3597940 relations
Pruned matrix : 2175364 x 2175589
Total sieving time: 103.16 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 5.32 hours.
time per square root: 0.27 hours.
Prototype def-par.txt line would be: snfs,189,5,0,0,0,0,0,0,0,0,9900000,9900000,28,28,54,54,2.5,2.5,100000
total time: 108.94 hours.
Intel64 Family 6 Model 78 Stepping 3, GenuineIntel
processors: 4, speed: 2.40GHz
Windows-10-10.0.17134-SP0
Running Python 3.6
software ソフトウェア
Msieve v. 1.53

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 5, 2007 09:00:00 UTC 2007 年 11 月 5 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosNovember 7, 2010 09:38:36 UTC 2010 年 11 月 7 日 (日) 18 時 38 分 36 秒 (日本時間)
403e61910110Ignacio SantosNovember 7, 2010 09:38:36 UTC 2010 年 11 月 7 日 (日) 18 時 38 分 36 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:48 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 48 秒 (日本時間)
1500Dmitry DomanovFebruary 10, 2014 05:52:20 UTC 2014 年 2 月 10 日 (月) 14 時 52 分 20 秒 (日本時間)
4511e6603232Ignacio SantosNovember 7, 2010 09:38:36 UTC 2010 年 11 月 7 日 (日) 18 時 38 分 36 秒 (日本時間)
1000Dmitry DomanovMarch 18, 2014 10:56:54 UTC 2014 年 3 月 18 日 (火) 19 時 56 分 54 秒 (日本時間)
5000Jason Parker-BurlinghamOctober 9, 2018 04:36:59 UTC 2018 年 10 月 9 日 (火) 13 時 36 分 59 秒 (日本時間)
5043e612000Jason Parker-BurlinghamOctober 9, 2018 13:17:23 UTC 2018 年 10 月 9 日 (火) 22 時 17 分 23 秒 (日本時間)
5511e77040Jason Parker-BurlinghamOctober 9, 2018 22:03:36 UTC 2018 年 10 月 10 日 (水) 7 時 3 分 36 秒 (日本時間)
6026e715760 / 304462080Jason Parker-BurlinghamOctober 10, 2018 04:12:51 UTC 2018 年 10 月 10 日 (水) 13 時 12 分 51 秒 (日本時間)
4400Jason Parker-BurlinghamOctober 11, 2018 14:28:50 UTC 2018 年 10 月 11 日 (木) 23 時 28 分 50 秒 (日本時間)
9280Jason Parker-BurlinghamOctober 18, 2018 02:15:38 UTC 2018 年 10 月 18 日 (木) 11 時 15 分 38 秒 (日本時間)
6585e72400 / 64078Jason Parker-BurlinghamOctober 11, 2018 01:50:01 UTC 2018 年 10 月 11 日 (木) 10 時 50 分 1 秒 (日本時間)

9×10190+7

c160

name 名前Kenji Ibusuki
date 日付June 19, 2018 02:01:14 UTC 2018 年 6 月 19 日 (火) 11 時 1 分 14 秒 (日本時間)
composite number 合成数
5579499456124916846960968448018097053826427056794051498741823177370329064518159593397511287945411080636289879906151500095724711820769542233661557004814612990093<160>
prime factors 素因数
760252392184689963142116340169836650365375240659571<51>
7339009404615560184285320145763109680478367901420261041555093795841090296070211976181788959666021826568726783<109>
factorization results 素因数分解の結果
Number: 90007_190
N=5579499456124916846960968448018097053826427056794051498741823177370329064518159593397511287945411080636289879906151500095724711820769542233661557004814612990093
  ( 160 digits)
SNFS difficulty: 190 digits.
Divisors found: (Total dependency: 1)
 r1=760252392184689963142116340169836650365375240659571 (pp51)
 r2=7339009404615560184285320145763109680478367901420261041555093795841090296070211976181788959666021826568726783 (pp109)
Msieve version: Msieve v. 1.49 (SVN unknown)
GGNFS version: GGNFS-0.77.1-VC8(UTE)
Total time: 335.29 hours (14.63 calendar hours).
Scaled time: 1513.82 units (timescale=4.515).
Factorization parameters were as follows:
n: 5579499456124916846960968448018097053826427056794051498741823177370329064518159593397511287945411080636289879906151500095724711820769542233661557004814612990093
m: 100000000000000000000000000000000000000
deg: 5
c5: 9
c0: 7
skew: 0.95
# Murphy_E = 4.474e-11
type: snfs
lss: 1
rlim: 10700000
alim: 10700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
relslim: 30300000
qintsize: 5000

Polynomial score was as follows:
skew 0.95, size 3.801e-013, alpha 1.137, combined = 4.474e-011 rroots = 1
Factor base limits: 10700000/10700000
Large primes per side: 3
Large prime bits: 28/28
Sieved special-q in [5350000, 23155001)
Relations: raw-rels:30501744 rels:26333833, finalFF:1527023
Pruned matrix : 1526539 x 1526767
Total sieving time: 325.74 hours (13.11 calendar hours).
Total relation processing time: 0.12 hours.
Total matrix build processing time: 0.03 hours.
Matrix pruned processing time: (N/A)
Matrix solve time: 9.37 hours (1.34 calendar hours).
Total time of square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,10700000,10700000,28,28,54,54,2.5,2.5,100000
total time: 335.29 hours (14.63 calendar hours).
 --------- CPU info (if available) ----------
software ソフトウェア
Msieve v. 1.49 (SVN unknown) + GGNFS-0.77.1-VC8 with 
factMsieve.pl (decomposed + modified) snfs
(without procrels.exe, matbuild.exe for "finalFF" calculation)
execution environment 実行環境
[Envilonment]
  PC #1   (Master) --- Intel Core i7 2600, 16GB RAM, Windows 7 64bit
  PC #2,3 (Slave)  --- Intel Core i7 4770, 16GB RAM, Windows 7 64bit
  PC #4   (Slave)  --- Intel Core 2 Quad Q6600, 4GB RAM, Windows Vista 32bit

[Threads used]
  (Sieving)
    PC #1   --- 7 threads used
    PC #2,3 --- 7 threads used x 2
    PC #4   --- 4 threads used
  (Relation processing and Matrix build processing)
    PC #1   --- 1 thread used
  (Matrix solve)
    PC #1   --- 7 threads used
  (Square root processing)
    PC #1   --- 1 thread used

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 5, 2007 09:00:00 UTC 2007 年 11 月 5 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosNovember 7, 2010 09:39:01 UTC 2010 年 11 月 7 日 (日) 18 時 39 分 1 秒 (日本時間)
403e62110200Rich DickersonJuly 1, 2010 02:40:02 UTC 2010 年 7 月 1 日 (木) 11 時 40 分 2 秒 (日本時間)
110Ignacio SantosNovember 7, 2010 09:39:01 UTC 2010 年 11 月 7 日 (日) 18 時 39 分 1 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:49 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 49 秒 (日本時間)
1500Dmitry DomanovFebruary 10, 2014 05:52:33 UTC 2014 年 2 月 10 日 (月) 14 時 52 分 33 秒 (日本時間)
4511e61032 / 399932Ignacio SantosNovember 7, 2010 09:39:01 UTC 2010 年 11 月 7 日 (日) 18 時 39 分 1 秒 (日本時間)
1000Dmitry DomanovMarch 18, 2014 10:57:09 UTC 2014 年 3 月 18 日 (火) 19 時 57 分 9 秒 (日本時間)

9×10191+7

c126

name 名前JMB
date 日付November 12, 2007 06:59:56 UTC 2007 年 11 月 12 日 (月) 15 時 59 分 56 秒 (日本時間)
composite number 合成数
930600757226554728962070056557497495132017858714489962178591646069625206235748389898557153599320046510025343793063550488172729<126>
prime factors 素因数
16211565179348756515840607697259<32>
21676057655573837315308075461982724731<38>
2648244977702149059480307274983753320329588866774945947601<58>
factorization results 素因数分解の結果
ECM produced
P1: 16211565179348756515840607697259


MSieve produced
P2: 21676057655573837315308075461982724731
P3: 2648244977702149059480307274983753320329588866774945947601
software ソフトウェア
B1: 3000000, Sigma: 1309460285

Msieve v. 1.29
execution environment 実行環境
WinXP Pro

9×10193+7

c172

name 名前Edwin Hall
date 日付January 7, 2021 23:30:50 UTC 2021 年 1 月 8 日 (金) 8 時 30 分 50 秒 (日本時間)
composite number 合成数
3250041523050880615321685222455062995653569802851624081711673811890186036476064823622620134217460920482180458538096673578394266544203039644075465610181899098442782954818861<172>
prime factors 素因数
136365750888660656882306462329859916028208439878785693171434670933<66>
23833268264730643754270578001218449686207330008329064472936711330001970829197250039029096441052700684561017<107>
factorization results 素因数分解の結果
p66 factor: 136365750888660656882306462329859916028208439878785693171434670933
p107 factor: 23833268264730643754270578001218449686207330008329064472936711330001970829197250039029096441052700684561017


Msieve v. 1.54 (SVN 1032M)
random seeds: f3180339 53974f06
factoring 3250041523050880615321685222455062995653569802851624081711673811890186036476064823622620134217460920482180458538096673578394266544203039644075465610181899098442782954818861 (172 digits)
searching for 15-digit factors
commencing number field sieve (172-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: 7
A1: 0
A2: 0
A3: 0
A4: 0
A5: 9000
skew 1.00, size 1.192e-13, alpha -0.099, combined = 2.155e-11 rroots = 1

commencing relation filtering
estimated available RAM is 48213.5 MB
commencing duplicate removal, pass 1
found 2378994 hash collisions in 37403600 relations
added 726427 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 38130027 unique relations
memory use: 98.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1250.8 MB
keeping 40430165 ideals with weight <= 200, target excess is 202522
commencing in-memory singleton removal
begin with 38130027 relations and 40430165 unique ideals
reduce to 14925066 relations and 13309754 ideals in 17 passes
max relations containing the same ideal: 110
removing 2078330 relations and 1678330 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 12846736 relations and 13309754 unique ideals
reduce to 12604574 relations and 11381005 ideals in 8 passes
max relations containing the same ideal: 95
removing 1664787 relations and 1264787 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 10939787 relations and 11381005 unique ideals
reduce to 10755515 relations and 9925974 ideals in 10 passes
max relations containing the same ideal: 87
removing 1570282 relations and 1170282 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 9185233 relations and 9925974 unique ideals
reduce to 8988154 relations and 8551561 ideals in 8 passes
max relations containing the same ideal: 79
removing 917066 relations and 715399 ideals in 201667 cliques
commencing in-memory singleton removal
begin with 8071088 relations and 8551561 unique ideals
reduce to 7992155 relations and 7755605 ideals in 8 passes
max relations containing the same ideal: 72
relations with 0 large ideals: 4226
relations with 1 large ideals: 10500
relations with 2 large ideals: 87732
relations with 3 large ideals: 409541
relations with 4 large ideals: 1135700
relations with 5 large ideals: 1964826
relations with 6 large ideals: 2211252
relations with 7+ large ideals: 2168378
commencing 2-way merge
reduce to 4958975 relation sets and 4722425 unique ideals
commencing full merge
memory use: 551.3 MB
found 2310364 cycles, need 2284625
weight of 2284625 cycles is about 205954278 (90.15/cycle)
distribution of cycle lengths:
1 relations: 190018
2 relations: 192355
3 relations: 198168
4 relations: 195573
5 relations: 190572
6 relations: 177137
7 relations: 167343
8 relations: 152617
9 relations: 137514
10+ relations: 683328
heaviest cycle: 26 relations
commencing cycle optimization
start with 16864751 relations
pruned 576008 relations
memory use: 498.0 MB
distribution of cycle lengths:
1 relations: 190018
2 relations: 196848
3 relations: 206070
4 relations: 201838
5 relations: 197865
6 relations: 183111
7 relations: 172966
8 relations: 156481
9 relations: 140394
10+ relations: 639034
heaviest cycle: 26 relations
RelProcTime: 715
elapsed time 00:11:56


Msieve v. 1.54 (SVN 1032M)
random seeds: 19eddabc 4196351b
factoring 3250041523050880615321685222455062995653569802851624081711673811890186036476064823622620134217460920482180458538096673578394266544203039644075465610181899098442782954818861 (172 digits)
searching for 15-digit factors
commencing number field sieve (172-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: 7
A1: 0
A2: 0
A3: 0
A4: 0
A5: 9000
skew 1.00, size 1.192e-13, alpha -0.099, combined = 2.155e-11 rroots = 1

commencing linear algebra
read 2284625 cycles
cycles contain 7817525 unique relations
read 7817525 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 959.2 MB
read 2284625 cycles
matrix is 2284446 x 2284625 (841.5 MB) with weight 246624773 (107.95/col)
sparse part has weight 195450810 (85.55/col)
filtering completed in 2 passes
matrix is 2283715 x 2283894 (841.4 MB) with weight 246596568 (107.97/col)
sparse part has weight 195439587 (85.57/col)
matrix starts at (0, 0)
matrix is 2283715 x 2283894 (841.4 MB) with weight 246596568 (107.97/col)
sparse part has weight 195439587 (85.57/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2283667 x 2283894 (800.5 MB) with weight 203869349 (89.26/col)
sparse part has weight 186994492 (81.88/col)
using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
commencing Lanczos iteration (12 threads)
memory use: 760.0 MB
linear algebra at 0.1%, ETA 2h 5m
checkpointing every 1220000 dimensions
lanczos halted after 36115 iterations (dim = 2283664)
recovered 36 nontrivial dependencies
BLanczosTime: 5498
elapsed time 01:31:39


Msieve v. 1.54 (SVN 1032M)
random seeds: f3aa56be 93117e60
factoring 3250041523050880615321685222455062995653569802851624081711673811890186036476064823622620134217460920482180458538096673578394266544203039644075465610181899098442782954818861 (172 digits)
searching for 15-digit factors
commencing number field sieve (172-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: 7
A1: 0
A2: 0
A3: 0
A4: 0
A5: 9000
skew 1.00, size 1.192e-13, alpha -0.099, combined = 2.155e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1142617 cycles
cycles contain 3909718 unique relations
read 3909718 relations
multiplying 3909718 relations
multiply complete, coefficients have about 134.41 million bits
initial square root is modulo 66701
sqrtTime: 379
p66 factor: 136365750888660656882306462329859916028208439878785693171434670933
p107 factor: 23833268264730643754270578001218449686207330008329064472936711330001970829197250039029096441052700684561017
elapsed time 00:06:20
software ソフトウェア
CADO-NFS/Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 5, 2007 09:00:00 UTC 2007 年 11 月 5 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosNovember 7, 2010 09:39:30 UTC 2010 年 11 月 7 日 (日) 18 時 39 分 30 秒 (日本時間)
403e61910110Ignacio SantosNovember 7, 2010 09:39:30 UTC 2010 年 11 月 7 日 (日) 18 時 39 分 30 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:49 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 49 秒 (日本時間)
1500Dmitry DomanovFebruary 10, 2014 05:52:46 UTC 2014 年 2 月 10 日 (月) 14 時 52 分 46 秒 (日本時間)
4511e62100 / 404332Ignacio SantosNovember 7, 2010 09:39:30 UTC 2010 年 11 月 7 日 (日) 18 時 39 分 30 秒 (日本時間)
1000Dmitry DomanovMarch 18, 2014 10:57:26 UTC 2014 年 3 月 18 日 (火) 19 時 57 分 26 秒 (日本時間)
1068Eric JeancolasOctober 14, 2020 06:13:39 UTC 2020 年 10 月 14 日 (水) 15 時 13 分 39 秒 (日本時間)

9×10194+7

c183

name 名前Robert Backstrom
date 日付March 9, 2012 20:43:53 UTC 2012 年 3 月 10 日 (土) 5 時 43 分 53 秒 (日本時間)
composite number 合成数
482102509399382305639054197378589431207065914856305230108246489564701648394981629174323993599174686401781294569583684249875193592833449821844000796912784688649247078219213402953478289<183>
prime factors 素因数
2054783547710041169679272379174477499196820044377403<52>
234624474162576730798241102819884412484721379969640372301129617478773041857423131220526843063369689752555865655691486796574658227363<132>
factorization results 素因数分解の結果
Number: n
N=482102509399382305639054197378589431207065914856305230108246489564701648394981629174323993599174686401781294569583684249875193592833449821844000796912784688649247078219213402953478289
  ( 183 digits)
SNFS difficulty: 194 digits.
Divisors found:

Sat Mar 10 05:04:53 2012  prp52 factor: 2054783547710041169679272379174477499196820044377403
Sat Mar 10 05:04:53 2012  prp132 factor: 234624474162576730798241102819884412484721379969640372301129617478773041857423131220526843063369689752555865655691486796574658227363
Sat Mar 10 05:04:53 2012  elapsed time 04:15:41 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.653).
Factorization parameters were as follows:
name: KA_90007_194
n: 482102509399382305639054197378589431207065914856305230108246489564701648394981629174323993599174686401781294569583684249875193592833449821844000796912784688649247078219213402953478289
m: 100000000000000000000000000000000000000
#  c183, diff: 194.95
skew: 0.15
deg: 5
c5: 90000
c0: 7
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 13100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9556172 hash collisions in 79786308 relations (72465262 unique)
Msieve: matrix is 1465996 x 1466228 (412.6 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,194,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.93 BogoMIPS (lpj=2798468)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797560)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Total of 8 processors activated (44762.71 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 5, 2007 09:00:00 UTC 2007 年 11 月 5 日 (月) 18 時 0 分 0 秒 (日本時間)
351e635050Rich DickersonJuly 1, 2010 22:55:48 UTC 2010 年 7 月 2 日 (金) 7 時 55 分 48 秒 (日本時間)
300Ignacio SantosNovember 7, 2010 09:39:56 UTC 2010 年 11 月 7 日 (日) 18 時 39 分 56 秒 (日本時間)
403e6310 / 2061200Rich DickersonJuly 2, 2010 00:41:31 UTC 2010 年 7 月 2 日 (金) 9 時 41 分 31 秒 (日本時間)
110Ignacio SantosNovember 7, 2010 09:39:56 UTC 2010 年 11 月 7 日 (日) 18 時 39 分 56 秒 (日本時間)
4511e652 / 439420Rich DickersonJuly 2, 2010 02:05:08 UTC 2010 年 7 月 2 日 (金) 11 時 5 分 8 秒 (日本時間)
32Ignacio SantosNovember 7, 2010 09:39:56 UTC 2010 年 11 月 7 日 (日) 18 時 39 分 56 秒 (日本時間)

9×10195+7

c182

name 名前Serge Batalov
date 日付October 15, 2010 22:56:35 UTC 2010 年 10 月 16 日 (土) 7 時 56 分 35 秒 (日本時間)
composite number 合成数
12773066218827522011106275537305515927847495909386121725263137128642486722378834647869843647963187047362930490895721862305030988608693529849187618358750907296173509407467498271148383<182>
prime factors 素因数
1952466020713770378354966701066170212630281<43>
6542017163585783656838731897757279460480160029220905776573875329096270773257438906850546347725951695175877360281842150195043284289886402343<139>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2477634717
Step 1 took 33715ms
Step 2 took 13706ms
********** Factor found in step 2: 1952466020713770378354966701066170212630281
Found probable prime factor of 43 digits: 1952466020713770378354966701066170212630281
Probable prime cofactor has 139 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 5, 2007 09:00:00 UTC 2007 年 11 月 5 日 (月) 18 時 0 分 0 秒 (日本時間)

9×10196+7

c190

name 名前matsui
date 日付August 9, 2009 04:39:28 UTC 2009 年 8 月 9 日 (日) 13 時 39 分 28 秒 (日本時間)
composite number 合成数
2815358204437110888169498828388683223496303888263062566049476542013136899326513138510337041233079345271557408923240290854030465241384276593552961095221889797933295592935240223410560590059039<190>
prime factors 素因数
2793581839990665879086071955488871732154051874807346381894557450536389<70>
1007795141038902862381302247759455291325233747340278362348189347943401583915173253582538601189245685674010445568232328851<121>
factorization results 素因数分解の結果
N=2815358204437110888169498828388683223496303888263062566049476542013136899326513138510337041233079345271557408923240290854030465241384276593552961095221889797933295592935240223410560590059039
  ( 190 digits)
SNFS difficulty: 196 digits.
Divisors found:
 r1=2793581839990665879086071955488871732154051874807346381894557450536389 (pp70)
 r2=1007795141038902862381302247759455291325233747340278362348189347943401583915173253582538601189245685674010445568232328851 (pp121)
Version: Msieve v. 1.42
Total time: 502.44 hours.
Scaled time: 1121.95 units (timescale=2.233).
Factorization parameters were as follows:
n: 2815358204437110888169498828388683223496303888263062566049476542013136899326513138510337041233079345271557408923240290854030465241384276593552961095221889797933295592935240223410560590059039
m: 1000000000000000000000000000000000000000
deg: 5
c5: 90
c0: 7
skew: 0.60
type: snfs
lss: 1
rlim: 13400000
alim: 13400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 300000


Factor base limits: 13400000/13400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6700000, 14800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2655010 x 2655235
Total sieving time: 488.23 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 13.50 hours.
Time per square root: 0.51 hours.
Prototype def-par.txt line would be:
snfs,196.000,5,0,0,0,0,0,0,0,0,13400000,13400000,28,28,55,55,2.5,2.5,100000
total time: 502.44 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 5, 2007 09:00:00 UTC 2007 年 11 月 5 日 (月) 18 時 0 分 0 秒 (日本時間)

9×10197+7

c163

name 名前Eric Jeancolas
date 日付August 19, 2021 12:26:52 UTC 2021 年 8 月 19 日 (木) 21 時 26 分 52 秒 (日本時間)
composite number 合成数
1869195712625022073731132253769949703982655845596961100773778877211629077824700799990050608001076241719191682836135742724731028463699707680418614443004462229479567<163>
prime factors 素因数
9192131659990497691554727839013707074173657452970444069<55>
203347360739059991126629144494134965764441936782124999216170733552258673235408655327715205290748180625953443<108>
factorization results 素因数分解の結果
1869195712625022073731132253769949703982655845596961100773778877211629077824700799990050608001076241719191682836135742724731028463699707680418614443004462229479567=9192131659990497691554727839013707074173657452970444069*203347360739059991126629144494134965764441936782124999216170733552258673235408655327715205290748180625953443

cado polynomial
n: 1869195712625022073731132253769949703982655845596961100773778877211629077824700799990050608001076241719191682836135742724731028463699707680418614443004462229479567
skew: 1.41
type: snfs
c0: 70
c6: 9
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 9*x^6+70
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 14500000
tasks.lim1 = 14500000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 9192131659990497691554727839013707074173657452970444069 203347360739059991126629144494134965764441936782124999216170733552258673235408655327715205290748180625953443
Info:Square Root: Total cpu/real time for sqrt: 730.33/224.239
Info:Filtering - Singleton removal: Total cpu/real time for purge: 425.02/500.539
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28519069
Info:Lattice Sieving: Average J: 1893.15 for 3561298 special-q, max bucket fill -bkmult 1.0,1s:1.225420
Info:Lattice Sieving: Total time: 778336s
Info:Generate Factor Base: Total cpu/real time for makefb: 9.41/3.72844
Info:Linear Algebra: Total cpu/real time for bwc: 119541/30607.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 76683.44, WCT time 19551.37, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (82432 iterations)
Info:Linear Algebra: Lingen CPU time 570.49, WCT time 144.58
Info:Linear Algebra: Mksol: CPU time 41334.89,  WCT time 10563.18, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (41472 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 182.05/46.8495
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 121.07/139.229
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 138.60000000000002s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 537.67/553.314
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 449.00000000000006s
Info:Filtering - Merging: Merged matrix has 2625619 rows and total weight 448100580 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 726.46/200.291
Info:Filtering - Merging: Total cpu/real time for replay: 101.64/88.1276
Info:Quadratic Characters: Total cpu/real time for characters: 89.48/38.7284
Info:Square Root: Total cpu/real time for sqrt: 730.33/224.239
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.5829e+06/421613
Info:root: Cleaning up computation data in /tmp/cado.6i9l9lky
9192131659990497691554727839013707074173657452970444069 203347360739059991126629144494134965764441936782124999216170733552258673235408655327715205290748180625953443
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 5, 2007 09:00:00 UTC 2007 年 11 月 5 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosNovember 7, 2010 09:40:27 UTC 2010 年 11 月 7 日 (日) 18 時 40 分 27 秒 (日本時間)
403e61910110Ignacio SantosNovember 7, 2010 09:40:27 UTC 2010 年 11 月 7 日 (日) 18 時 40 分 27 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:50 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 50 秒 (日本時間)
1500Dmitry DomanovFebruary 10, 2014 05:53:06 UTC 2014 年 2 月 10 日 (月) 14 時 53 分 6 秒 (日本時間)
4511e61532 / 404332Ignacio SantosNovember 7, 2010 09:40:27 UTC 2010 年 11 月 7 日 (日) 18 時 40 分 27 秒 (日本時間)
1500Dmitry DomanovFebruary 18, 2014 12:42:51 UTC 2014 年 2 月 18 日 (火) 21 時 42 分 51 秒 (日本時間)

9×10198+7

c169

name 名前Bob Backstrom
date 日付March 23, 2021 08:58:46 UTC 2021 年 3 月 23 日 (火) 17 時 58 分 46 秒 (日本時間)
composite number 合成数
1312533398188009920711798088775670146008446823514273093798712655062787096910136356963525988612621392849933099266698116732636069400664766788358692197934757327534094740017<169>
prime factors 素因数
572264274501078081064669575424386698673197436636135798752609<60>
2293579132355111321000145308417250698080250025926763340776944402820434976901400056469232687913831919064712913<109>
factorization results 素因数分解の結果
Number: n
N=1312533398188009920711798088775670146008446823514273093798712655062787096910136356963525988612621392849933099266698116732636069400664766788358692197934757327534094740017  ( 169 digits)
SNFS difficulty: 198 digits.
Divisors found:

Tue Mar 23 19:50:21 2021  p60 factor: 572264274501078081064669575424386698673197436636135798752609
Tue Mar 23 19:50:21 2021  p109 factor: 2293579132355111321000145308417250698080250025926763340776944402820434976901400056469232687913831919064712913
Tue Mar 23 19:50:21 2021  elapsed time 01:15:55 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.343).
Factorization parameters were as follows:
#
# N = 9x10^198+7 = 90(197)7
#
n: 1312533398188009920711798088775670146008446823514273093798712655062787096910136356963525988612621392849933099266698116732636069400664766788358692197934757327534094740017
m: 1000000000000000000000000000000000000000
deg: 5
c5: 9000
c0: 7
skew: 0.24
# Murphy_E = 1.595e-11
type: snfs
lss: 1
rlim: 14500000
alim: 14500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14500000/14500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4208510 hash collisions in 29844713 relations (27151429 unique)
Msieve: matrix is 1848135 x 1848360 (645.0 MB)

Sieving start time : 2021/03/23 11:11:44
Sieving end time  : 2021/03/23 18:33:52

Total sieving time: 7hrs 22min 8secs.

Total relation processing time: 1hrs 4min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 49sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14500000,14500000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116948] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241112K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486124K reserved, 0K cma-reserved)
[    0.153521] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.16 BogoMIPS (lpj=12798332)
[    0.152037] smpboot: Total of 16 processors activated (102386.65 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 5, 2007 09:00:00 UTC 2007 年 11 月 5 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosNovember 7, 2010 09:40:50 UTC 2010 年 11 月 7 日 (日) 18 時 40 分 50 秒 (日本時間)
403e61910110Ignacio SantosNovember 7, 2010 09:40:50 UTC 2010 年 11 月 7 日 (日) 18 時 40 分 50 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:51 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 51 秒 (日本時間)
1500Dmitry DomanovFebruary 10, 2014 05:53:20 UTC 2014 年 2 月 10 日 (月) 14 時 53 分 20 秒 (日本時間)
4511e61532 / 404332Ignacio SantosNovember 7, 2010 09:40:50 UTC 2010 年 11 月 7 日 (日) 18 時 40 分 50 秒 (日本時間)
1500Dmitry DomanovFebruary 18, 2014 12:42:37 UTC 2014 年 2 月 18 日 (火) 21 時 42 分 37 秒 (日本時間)

9×10200+7

c172

name 名前JMB
date 日付November 19, 2007 15:24:51 UTC 2007 年 11 月 20 日 (火) 0 時 24 分 51 秒 (日本時間)
composite number 合成数
4200718979505643012545839260799608259210533459362019284317967129609159547509915007550578638347535873041509090720297644179696893388393656762666240525838969964533660947417589<172>
prime factors 素因数
1129520353150946514870638937980393951891<40>
3719029026601584878459985815308542356310526920113885973087730339593263375620616238307141131837874615521876099561714963205165591240279<133>
factorization results 素因数分解の結果
P1: 1129520353150946514870638937980393951891
P2: 3719029026601584878459985815308542356310526920113885973087730339593263375620616238307141131837874615521876099561714963205165591240279
software ソフトウェア
B1: 3000000, Sigma: 750054211
execution environment 実行環境
WinXP Pro

9×10201+7

c194

name 名前Dmitry Domanov
date 日付February 10, 2014 06:52:38 UTC 2014 年 2 月 10 日 (月) 15 時 52 分 38 秒 (日本時間)
composite number 合成数
79498380763730874202265769217101624537927807396764308138444451473671642343710136254659742381257221489369834266987344290606931536250647724098714270037962155113830948972259508189627275640045217619<194>
prime factors 素因数
975169344437825360828431784019707115618539<42>
composite cofactor 合成数の残り
81522641392670968047609948270870860243643825113968223841098342767065974056624548244466163052588893650224400795148247308905575225436258433727926846609721<152>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2806140711
Step 1 took 27099ms
Step 2 took 10020ms
********** Factor found in step 2: 975169344437825360828431784019707115618539
Found probable prime factor of 42 digits: 975169344437825360828431784019707115618539

c152

name 名前Ignacio Santos
date 日付August 3, 2021 19:39:45 UTC 2021 年 8 月 4 日 (水) 4 時 39 分 45 秒 (日本時間)
composite number 合成数
81522641392670968047609948270870860243643825113968223841098342767065974056624548244466163052588893650224400795148247308905575225436258433727926846609721<152>
prime factors 素因数
1929859002848127916668158231544742877773<40>
composite cofactor 合成数の残り
42242796635587408029113888687997805191458672682346255904981147416190399803993831730839962726370491634329980344477<113>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3262076067
Step 1 took 12062ms
********** Factor found in step 2: 1929859002848127916668158231544742877773
Found prime factor of 40 digits: 1929859002848127916668158231544742877773
Composite cofactor 42242796635587408029113888687997805191458672682346255904981147416190399803993831730839962726370491634329980344477 has 113 digits
 
software ソフトウェア
GMP-ECM

c113

name 名前Eric Jeancolas
date 日付August 6, 2021 03:19:02 UTC 2021 年 8 月 6 日 (金) 12 時 19 分 2 秒 (日本時間)
composite number 合成数
42242796635587408029113888687997805191458672682346255904981147416190399803993831730839962726370491634329980344477<113>
prime factors 素因数
1988661615520927264676297390410112538114987011369<49>
21241822291884466048721172405985104673793668164392308026765019733<65>
factorization results 素因数分解の結果
42242796635587408029113888687997805191458672682346255904981147416190399803993831730839962726370491634329980344477=1988661615520927264676297390410112538114987011369*21241822291884466048721172405985104673793668164392308026765019733

cado polynomial
n: 42242796635587408029113888687997805191458672682346255904981147416190399803993831730839962726370491634329980344477
skew: 4191.897
c0: -325714419689391449348780
c1: 188372657615751343842
c2: 12784572237239945
c3: 3205844164593
c4: 1455665868
c5: 339120
Y0: -3442317944523102053274
Y1: 24365144718736921
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.325e-06
# f(x) = 339120*x^5+1455665868*x^4+3205844164593*x^3+12784572237239945*x^2+188372657615751343842*x-325714419689391449348780
# g(x) = 24365144718736921*x-3442317944523102053274

cado parameters (extracts)
tasks.lim0 = 2500000
tasks.lim1 = 4500000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 21241822291884466048721172405985104673793668164392308026765019733 1988661615520927264676297390410112538114987011369
Info:Square Root: Total cpu/real time for sqrt: 237.97/64.04
Info:Generate Factor Base: Total cpu/real time for makefb: 4.21/1.13269
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 25.75/28.1831
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 27.6s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 280.51
Info:Polynomial Selection (root optimized): Rootsieve time: 279.41
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 101.69/107.361
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 80.2s
Info:Filtering - Merging: Merged matrix has 405826 rows and total weight 63323178 (156.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 63.98/18.9239
Info:Filtering - Merging: Total cpu/real time for replay: 13.64/10.9707
Info:Generate Free Relations: Total cpu/real time for freerel: 63.34/16.6514
Info:Quadratic Characters: Total cpu/real time for characters: 14.86/5.78151
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21741/32.290/40.087/45.350/1.079
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16824/31.320/35.490/40.550/0.815
Info:Polynomial Selection (size optimized): Total time: 1811.52
Info:Linear Algebra: Total cpu/real time for bwc: 2111.8/546.83
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1296.43, WCT time 332.46, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12800 iterations)
Info:Linear Algebra: Lingen CPU time 65.78, WCT time 16.74
Info:Linear Algebra: Mksol: CPU time 716.39,  WCT time 184.05, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6400 iterations)
Info:Square Root: Total cpu/real time for sqrt: 237.97/64.04
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6588451
Info:Lattice Sieving: Average J: 1890.36 for 99006 special-q, max bucket fill -bkmult 1.0,1s:1.235870
Info:Lattice Sieving: Total time: 11642.4s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 74/85.3908
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 26082/7179.77
Info:root: Cleaning up computation data in /tmp/cado.7ndreq6h
21241822291884466048721172405985104673793668164392308026765019733 1988661615520927264676297390410112538114987011369
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 4, 2014 01:25:34 UTC 2014 年 1 月 4 日 (土) 10 時 25 分 34 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:51 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 51 秒 (日本時間)
1500Dmitry DomanovFebruary 10, 2014 05:53:38 UTC 2014 年 2 月 10 日 (月) 14 時 53 分 38 秒 (日本時間)
4511e659801500Dmitry DomanovMarch 18, 2014 10:57:58 UTC 2014 年 3 月 18 日 (火) 19 時 57 分 58 秒 (日本時間)
4480Ignacio SantosAugust 4, 2021 21:08:51 UTC 2021 年 8 月 5 日 (木) 6 時 8 分 51 秒 (日本時間)
5043e6200 / 6132Dmitry DomanovSeptember 4, 2014 11:45:19 UTC 2014 年 9 月 4 日 (木) 20 時 45 分 19 秒 (日本時間)

9×10203+7

c163

composite cofactor 合成数の残り
4920988463509342788100565123847882715659841420279587394928340517374276717433494116994080610490449423796801815890059438994121534891576561721466688427747170468981473<163>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 1, 2014 15:29:36 UTC 2014 年 1 月 2 日 (木) 0 時 29 分 36 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:52 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 52 秒 (日本時間)
1500Dmitry DomanovFebruary 10, 2014 05:53:52 UTC 2014 年 2 月 10 日 (月) 14 時 53 分 52 秒 (日本時間)
4511e659801500Dmitry DomanovFebruary 18, 2014 12:42:15 UTC 2014 年 2 月 18 日 (火) 21 時 42 分 15 秒 (日本時間)
4480Ignacio SantosFebruary 9, 2022 19:12:15 UTC 2022 年 2 月 10 日 (木) 4 時 12 分 15 秒 (日本時間)
5043e6200 / 6132Dmitry DomanovSeptember 4, 2014 11:45:33 UTC 2014 年 9 月 4 日 (木) 20 時 45 分 33 秒 (日本時間)

9×10205+7

c197

name 名前Cyp
date 日付January 1, 2014 08:09:23 UTC 2014 年 1 月 1 日 (水) 17 時 9 分 23 秒 (日本時間)
composite number 合成数
12712507478307321092108358097758140930070576551805127026953294101895863234142615603863089937015772936162396575402018433149121053426260092482110478873118216196296052943852214949043411730336297281619<197>
prime factors 素因数
230629900375803225690323162555585023<36>
composite cofactor 合成数の残り
55120812425417268012366580620614259416358176939559430311604225168526575961554378460324091077475294437826151326579042064139651433252882293505813812191218320359853<161>
factorization results 素因数分解の結果
Run 150 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1435173889
Step 1 took 18792ms
Step 2 took 6172ms
********** Factor found in step 2: 230629900375803225690323162555585023
Found probable prime factor of 36 digits: 230629900375803225690323162555585023
Composite cofactor 55120812425417268012366580620614259416358176939559430311604225168526575961554378460324091077475294437826151326579042064139651433252882293505813812191218320359853 has 161 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c161

name 名前Dmitry Domanov
date 日付February 11, 2014 05:30:00 UTC 2014 年 2 月 11 日 (火) 14 時 30 分 0 秒 (日本時間)
composite number 合成数
55120812425417268012366580620614259416358176939559430311604225168526575961554378460324091077475294437826151326579042064139651433252882293505813812191218320359853<161>
prime factors 素因数
887214475636592077781116707928179558902689<42>
composite cofactor 合成数の残り
62127945315440339514004005181126644757717031506933994926558578117904148542037688768436883625524905151898015800631835277<119>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1671514279
Step 1 took 19407ms
Step 2 took 7967ms
********** Factor found in step 2: 887214475636592077781116707928179558902689
Found probable prime factor of 42 digits: 887214475636592077781116707928179558902689

c119

name 名前Dmitry Domanov
date 日付February 12, 2014 14:59:48 UTC 2014 年 2 月 12 日 (水) 23 時 59 分 48 秒 (日本時間)
composite number 合成数
62127945315440339514004005181126644757717031506933994926558578117904148542037688768436883625524905151898015800631835277<119>
prime factors 素因数
187141777794326606939453562934790715326041<42>
331983301899164769371000489579942672961936407076314259566041257275484436717397<78>
factorization results 素因数分解の結果
N=62127945315440339514004005181126644757717031506933994926558578117904148542037688768436883625524905151898015800631835277
  ( 119 digits)
Divisors found:
 r1=187141777794326606939453562934790715326041 (pp42)
 r2=331983301899164769371000489579942672961936407076314259566041257275484436717397 (pp78)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 36.76 hours.
Scaled time: 53.19 units (timescale=1.447).
Factorization parameters were as follows:
n: 62127945315440339514004005181126644757717031506933994926558578117904148542037688768436883625524905151898015800631835277
skew: 92212.22
c0: -1216569613388497382573998425
c1: -225327885969820594650020
c2: 1402281456873184341
c3: 123773307418360
c4: -152761352
c5: 456
Y0: -168602673204834620168426
Y1: 153269274223
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 240000
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2450000, 3890001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 576078 x 576309
Total sieving time: 35.89 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 0.48 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
gnfs,118,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4900000,4900000,27,27,54,54,2.5,2.5,100000
total time: 36.76 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62090 / 2318290CypJanuary 1, 2014 08:09:22 UTC 2014 年 1 月 1 日 (水) 17 時 9 分 22 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:53 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 53 秒 (日本時間)
1500Dmitry DomanovFebruary 10, 2014 05:54:07 UTC 2014 年 2 月 10 日 (月) 14 時 54 分 7 秒 (日本時間)

9×10207+7

c201

name 名前Bob Backstrom
date 日付September 25, 2020 22:39:25 UTC 2020 年 9 月 26 日 (土) 7 時 39 分 25 秒 (日本時間)
composite number 合成数
400998414764155678456124023284819505489646020431582118304423649656774317958504594929446333914320629154037258723152432106624230935165284194928180961138842626790909045138564779444856903492914513954945333<201>
prime factors 素因数
30353773933466891887924040711845792721112723692027725223865497263<65>
2128965076494511954952946697819959249517799150990028256447654384123<67>
6205280574915167765821504446016698644150331604218911305706031489155617<70>
factorization results 素因数分解の結果
Number: n
N=400998414764155678456124023284819505489646020431582118304423649656774317958504594929446333914320629154037258723152432106624230935165284194928180961138842626790909045138564779444856903492914513954945333  ( 201 digits)
SNFS difficulty: 207 digits.
Divisors found:

Sat Sep 26 08:32:02 2020  found factor: 6205280574915167765821504446016698644150331604218911305706031489155617
Sat Sep 26 08:36:33 2020  p65 factor: 30353773933466891887924040711845792721112723692027725223865497263
Sat Sep 26 08:36:33 2020  p67 factor: 2128965076494511954952946697819959249517799150990028256447654384123
Sat Sep 26 08:36:33 2020  p70 factor: 6205280574915167765821504446016698644150331604218911305706031489155617
Sat Sep 26 08:36:33 2020  elapsed time 02:56:35 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.110).
Factorization parameters were as follows:
#
# N = 9x10^207+7 = 90(206)7
#
n: 400998414764155678456124023284819505489646020431582118304423649656774317958504594929446333914320629154037258723152432106624230935165284194928180961138842626790909045138564779444856903492914513954945333
m: 100000000000000000000000000000000000000000
deg: 5
c5: 900
c0: 7
skew: 0.38
# Murphy_E = 5.926e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 42800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 11582268 hash collisions in 65543373 relations (55840409 unique)
Msieve: matrix is 2633501 x 2633727 (910.2 MB)

Sieving start time: 2020/09/25 13:58:32
Sieving end time  : 2020/09/26 05:38:56

Total sieving time: 15hrs 40min 24secs.

Total relation processing time: 2hrs 29min 48sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 54sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,20000000,20000000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.142177] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283124K/16703460K available (12300K kernel code, 2481K rwdata, 4272K rodata, 2436K init, 2724K bss, 420336K reserved, 0K cma-reserved)
[    0.176722] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.55 BogoMIPS (lpj=11977104)
[    0.174223] smpboot: Total of 16 processors activated (95816.83 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:27:16 UTC 2014 年 1 月 7 日 (火) 5 時 27 分 16 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:09:54 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 54 秒 (日本時間)
1500Dmitry DomanovFebruary 10, 2014 05:54:24 UTC 2014 年 2 月 10 日 (月) 14 時 54 分 24 秒 (日本時間)
4511e61500 / 4040Dmitry DomanovFebruary 14, 2014 12:07:46 UTC 2014 年 2 月 14 日 (金) 21 時 7 分 46 秒 (日本時間)

9×10208+7

c205

name 名前Bob Backstrom
date 日付July 11, 2020 19:01:23 UTC 2020 年 7 月 12 日 (日) 4 時 1 分 23 秒 (日本時間)
composite number 合成数
2776835025145783838820153651538058066705748048502051772546357718058683780198080898460399247169170960476381475425010027459813026441640183888186109654129770756841812964734195180648545246984048625466662552837<205>
prime factors 素因数
1239855257478466620756930232306944058251950247499983075214356362456774245338668186224824531643<94>
2239644513661314174410784622530344421719151881723880313668987917803607975331973889972818627407026155683843351359<112>
factorization results 素因数分解の結果
Number: n
N=2776835025145783838820153651538058066705748048502051772546357718058683780198080898460399247169170960476381475425010027459813026441640183888186109654129770756841812964734195180648545246984048625466662552837  ( 205 digits)
SNFS difficulty: 208 digits.
Divisors found:

Sun Jul 12 04:52:42 2020  p94 factor: 1239855257478466620756930232306944058251950247499983075214356362456774245338668186224824531643
Sun Jul 12 04:52:42 2020  p112 factor: 2239644513661314174410784622530344421719151881723880313668987917803607975331973889972818627407026155683843351359
Sun Jul 12 04:52:42 2020  elapsed time 03:17:03 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.117).
Factorization parameters were as follows:
#
# N = 9x10^208+7 = 90(207)7
#
n: 2776835025145783838820153651538058066705748048502051772546357718058683780198080898460399247169170960476381475425010027459813026441640183888186109654129770756841812964734195180648545246984048625466662552837
m: 100000000000000000000000000000000000000000
deg: 5
c5: 9000
c0: 7
skew: 0.24
# Murphy_E = 5.375e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 43300000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9584262 hash collisions in 62545833 relations (55190149 unique)
Msieve: matrix is 2736033 x 2736258 (955.2 MB)

Sieving start time: 2020/07/11 06:24:52
Sieving end time  : 2020/07/12 01:34:06

Total sieving time: 19hrs 9min 14secs.

Total relation processing time: 2hrs 52min 58sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 51sec.

Prototype def-par.txt line would be:
snfs,208,5,0,0,0,0,0,0,0,0,21000000,21000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149875] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283136K/16703460K available (12300K kernel code, 2481K rwdata, 4272K rodata, 2436K init, 2720K bss, 420324K reserved, 0K cma-reserved)
[    0.184729] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.29 BogoMIPS (lpj=11976592)
[    0.182226] smpboot: Total of 16 processors activated (95812.73 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e6210Serge BatalovDecember 4, 2013 17:31:56 UTC 2013 年 12 月 5 日 (木) 2 時 31 分 56 秒 (日本時間)
4511e6326060Serge BatalovDecember 4, 2013 17:31:56 UTC 2013 年 12 月 5 日 (木) 2 時 31 分 56 秒 (日本時間)
500Serge BatalovJanuary 4, 2014 22:39:21 UTC 2014 年 1 月 5 日 (日) 7 時 39 分 21 秒 (日本時間)
1800Serge BatalovMay 24, 2014 03:26:01 UTC 2014 年 5 月 24 日 (土) 12 時 26 分 1 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:21 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 21 秒 (日本時間)
5043e6500 / 6813Serge BatalovJanuary 4, 2014 23:01:17 UTC 2014 年 1 月 5 日 (日) 8 時 1 分 17 秒 (日本時間)

9×10209+7

c204

name 名前Dmitry Domanov
date 日付February 17, 2014 05:47:08 UTC 2014 年 2 月 17 日 (月) 14 時 47 分 8 秒 (日本時間)
composite number 合成数
246596218693582552605138352808498034491139112872843207822251253599277308681748674065831874534035895093584634973207320838942255659451717967356688552537735386365585470112401296438520411728006562747366831877<204>
prime factors 素因数
92378222449799089167980477535034067524901<41>
composite cofactor 合成数の残り
2669419395113278323064546171479758505436976809394284680684446960270388338615785604994028596017907880239198640099298445892015776427830615440495987529122030441364577<163>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=447963037
Step 1 took 117027ms
Step 2 took 40435ms
********** Factor found in step 2: 92378222449799089167980477535034067524901
Found probable prime factor of 41 digits: 92378222449799089167980477535034067524901

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:27:17 UTC 2014 年 1 月 7 日 (火) 5 時 27 分 17 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:09:55 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 55 秒 (日本時間)
1500Dmitry DomanovFebruary 10, 2014 05:54:49 UTC 2014 年 2 月 10 日 (月) 14 時 54 分 49 秒 (日本時間)
4511e61500 / 3174Dmitry DomanovFebruary 14, 2014 12:08:11 UTC 2014 年 2 月 14 日 (金) 21 時 8 分 11 秒 (日本時間)
5043e6247 / 714347CypFebruary 3, 2014 08:07:45 UTC 2014 年 2 月 3 日 (月) 17 時 7 分 45 秒 (日本時間)
200Dmitry DomanovSeptember 4, 2014 11:45:48 UTC 2014 年 9 月 4 日 (木) 20 時 45 分 48 秒 (日本時間)

9×10213+7

c150

composite cofactor 合成数の残り
311407471480630378964806412625893991855960301737936439981726265625792288322067578192182328945886963889338973805314356601509275453302208678750840865237<150>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
786AnonymousDecember 7, 2013 02:23:38 UTC 2013 年 12 月 7 日 (土) 11 時 23 分 38 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:09:55 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 55 秒 (日本時間)
1500Dmitry DomanovFebruary 10, 2014 05:55:03 UTC 2014 年 2 月 10 日 (月) 14 時 55 分 3 秒 (日本時間)
4511e61588 / 333988CypMarch 6, 2014 08:03:57 UTC 2014 年 3 月 6 日 (木) 17 時 3 分 57 秒 (日本時間)
1500Dmitry DomanovMarch 18, 2014 10:59:21 UTC 2014 年 3 月 18 日 (火) 19 時 59 分 21 秒 (日本時間)
5043e6200 / 7124Dmitry DomanovSeptember 4, 2014 11:46:15 UTC 2014 年 9 月 4 日 (木) 20 時 46 分 15 秒 (日本時間)

9×10215+7

c211

name 名前Serge Batalov
date 日付December 15, 2014 11:00:08 UTC 2014 年 12 月 15 日 (月) 20 時 0 分 8 秒 (日本時間)
composite number 合成数
6938608731853610774888404042896021093370544834976755660748290403904123846456298329337208674802827868536493227146921185114371400596720350939410526640402747689057814029866855808000986824352974735754650795241656323<211>
prime factors 素因数
11631752965487702622599573677100981143925700681605640980215276100583567184504984022474857<89>
596523047939634859668561823414241476242912088522201937610305799141463311897676615327168122696635227693059712350587054841739<123>
factorization results 素因数分解の結果
RelProcTime: 2722
matrix is 2518483 x 2518660 (1134.6 MB) with weight 337471088 (133.99/col)
BLanczosTime: 12130
sqrtTime: 854
prp89 factor: 11631752965487702622599573677100981143925700681605640980215276100583567184504984022474857
prp123 factor: 596523047939634859668561823414241476242912088522201937610305799141463311897676615327168122696635227693059712350587054841739

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e6210Serge BatalovDecember 4, 2013 17:31:59 UTC 2013 年 12 月 5 日 (木) 2 時 31 分 59 秒 (日本時間)
4511e6326060Serge BatalovDecember 4, 2013 17:31:59 UTC 2013 年 12 月 5 日 (木) 2 時 31 分 59 秒 (日本時間)
500Serge BatalovJanuary 4, 2014 22:39:24 UTC 2014 年 1 月 5 日 (日) 7 時 39 分 24 秒 (日本時間)
1800Serge BatalovMay 24, 2014 09:17:17 UTC 2014 年 5 月 24 日 (土) 18 時 17 分 17 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:30 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 30 秒 (日本時間)
5043e63500 / 6813500Serge BatalovJanuary 4, 2014 23:01:20 UTC 2014 年 1 月 5 日 (日) 8 時 1 分 20 秒 (日本時間)
3000Serge BatalovDecember 14, 2014 09:59:18 UTC 2014 年 12 月 14 日 (日) 18 時 59 分 18 秒 (日本時間)

9×10216+7

c209

name 名前Serge Batalov
date 日付January 6, 2014 22:11:43 UTC 2014 年 1 月 7 日 (火) 7 時 11 分 43 秒 (日本時間)
composite number 合成数
11672083081690246956909292887296748165045760382268294810377484621249158755686481628502415546023593577828466291486404258413741005977492921915887205714995295417770640924366417704549699263526962864026544101459577<209>
prime factors 素因数
4472608801283656128575694311520901<34>
2609681195086928616964491698119697421088504889375207415047961568425208333847666144261769816690360026640393777405921630917296722278361019075378008423520349906547827659957170277<175>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=1744400224
Step 1 took 5563ms
Step 2 took 3585ms
********** Factor found in step 2: 4472608801283656128575694311520901
Found probable prime factor of 34 digits: 4472608801283656128575694311520901
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:27:18 UTC 2014 年 1 月 7 日 (火) 5 時 27 分 18 秒 (日本時間)

9×10218+7

c216

name 名前Serge Batalov
date 日付December 4, 2013 17:12:57 UTC 2013 年 12 月 5 日 (木) 2 時 12 分 57 秒 (日本時間)
composite number 合成数
278724063177454320222979250541963456178383400433570764942706720346856611954165376277485289563332301021988231650665840817590585320532672654072468256426138123257974605140910498606379684112728398885103747290182719108083<216>
prime factors 素因数
3971661672112744021511209841808879578599<40>
70178198997797752961661024313000665073893917769202679646389886626704726031897972719844134468402760474039333493147062846735592093309865678526651337585358515233410816489488388117<176>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=3756021527
Step 1 took 77977ms
Step 2 took 37434ms
********** Factor found in step 2: 3971661672112744021511209841808879578599
Found probable prime factor of 40 digits: 3971661672112744021511209841808879578599
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)

9×10219+7

c170

name 名前Erik Branger
date 日付July 6, 2020 11:42:48 UTC 2020 年 7 月 6 日 (月) 20 時 42 分 48 秒 (日本時間)
composite number 合成数
29340075419911642187226742169112904167932910848067244536106592500799997635347845445740545886791386917459686505621729479017711191303385923577809265983371393524003513412323<170>
prime factors 素因数
1238785353932249951094305218229676677521199483863<49>
23684551425134359236692297904067014374666733210470443307228819101233387925699993866301093566506119137210382719644022462421<122>
factorization results 素因数分解の結果
Number: 90007_219
N = 29340075419911642187226742169112904167932910848067244536106592500799997635347845445740545886791386917459686505621729479017711191303385923577809265983371393524003513412323 (170 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=1238785353932249951094305218229676677521199483863 (pp49)
r2=23684551425134359236692297904067014374666733210470443307228819101233387925699993866301093566506119137210382719644022462421 (pp122)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 75.54 hours.
Factorization parameters were as follows:
n: 29340075419911642187226742169112904167932910848067244536106592500799997635347845445740545886791386917459686505621729479017711191303385923577809265983371393524003513412323
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 9
c0: 70
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 8175004 relations
Pruned matrix : 7033295 x 7033520
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 37.63 hours.
Total relation processing time: 0.37 hours.
Matrix solve time: 37.34 hours.
time per square root: 0.20 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 75.54 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:27:19 UTC 2014 年 1 月 7 日 (火) 5 時 27 分 19 秒 (日本時間)
403e62090290CypJanuary 6, 2014 21:35:33 UTC 2014 年 1 月 7 日 (火) 6 時 35 分 33 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:56 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 56 秒 (日本時間)
1500Dmitry DomanovFebruary 10, 2014 05:55:24 UTC 2014 年 2 月 10 日 (月) 14 時 55 分 24 秒 (日本時間)
4511e61500 / 3176Dmitry DomanovMarch 18, 2014 10:59:42 UTC 2014 年 3 月 18 日 (火) 19 時 59 分 42 秒 (日本時間)
5043e6228 / 713228CypFebruary 2, 2014 01:59:31 UTC 2014 年 2 月 2 日 (日) 10 時 59 分 31 秒 (日本時間)
200Dmitry DomanovSeptember 4, 2014 11:46:32 UTC 2014 年 9 月 4 日 (木) 20 時 46 分 32 秒 (日本時間)

9×10220+7

c158

name 名前Erik Branger
date 日付January 20, 2019 10:54:33 UTC 2019 年 1 月 20 日 (日) 19 時 54 分 33 秒 (日本時間)
composite number 合成数
35551207302900375123574816010353118522193497949778862001213898764052006998281426526893430698438838077366271468870039823014290320490607337556417888745395609993<158>
prime factors 素因数
49731790056136431497918954582545675266272567995712875019<56>
714858790780922093980860230155431238358524131288851999333899033359523298074645433014290815096469893947<102>
factorization results 素因数分解の結果
Number: 90007_220
N = 35551207302900375123574816010353118522193497949778862001213898764052006998281426526893430698438838077366271468870039823014290320490607337556417888745395609993 (158 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=49731790056136431497918954582545675266272567995712875019 (pp56)
r2=714858790780922093980860230155431238358524131288851999333899033359523298074645433014290815096469893947 (pp102)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 59.95 hours.
Factorization parameters were as follows:
n: 35551207302900375123574816010353118522193497949778862001213898764052006998281426526893430698438838077366271468870039823014290320490607337556417888745395609993
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 9
c0: 7
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Relations: 7361288 relations
Pruned matrix : 6447661 x 6447886
Total pre-computation time approximately 300 CPU-days.
Pre-computation saved approximately 8 G relations.
Total batch smoothness checking time: 25.50 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 33.98 hours.
time per square root: 0.19 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 59.95 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:27:19 UTC 2014 年 1 月 7 日 (火) 5 時 27 分 19 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:09:57 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 57 秒 (日本時間)
1500Dmitry DomanovFebruary 10, 2014 05:55:37 UTC 2014 年 2 月 10 日 (月) 14 時 55 分 37 秒 (日本時間)
4511e61500 / 3174Dmitry DomanovMarch 18, 2014 10:59:56 UTC 2014 年 3 月 18 日 (火) 19 時 59 分 56 秒 (日本時間)
5043e6247 / 714347CypJanuary 28, 2014 19:00:26 UTC 2014 年 1 月 29 日 (水) 4 時 0 分 26 秒 (日本時間)
200Dmitry DomanovSeptember 8, 2014 10:39:19 UTC 2014 年 9 月 8 日 (月) 19 時 39 分 19 秒 (日本時間)

9×10221+7

c186

name 名前Cyp
date 日付January 2, 2014 07:36:32 UTC 2014 年 1 月 2 日 (木) 16 時 36 分 32 秒 (日本時間)
composite number 合成数
445436586770295152490966270839602155088383665009598204896071963690537519965564550771145507625997698855438430739368818927761537967273170032325615161102698144300486279483658179612880861679<186>
prime factors 素因数
29054091091571010128245728388267632663751<41>
15331286233198408635524700861793732313546026469400941914282974884117686807246129580478407958464455398068666975334745446305499789972292625514987929<146>
factorization results 素因数分解の結果
Run 256 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=576486280
Step 1 took 16083ms
Step 2 took 5643ms
********** Factor found in step 2: 29054091091571010128245728388267632663751
Found probable prime factor of 41 digits: 29054091091571010128245728388267632663751
Probable prime cofactor 15331286233198408635524700861793732313546026469400941914282974884117686807246129580478407958464455398068666975334745446305499789972292625514987929 has 146 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 186Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e6256 / 2318CypJanuary 2, 2014 07:36:31 UTC 2014 年 1 月 2 日 (木) 16 時 36 分 31 秒 (日本時間)

9×10222+7

c220

name 名前Serge Batalov
date 日付January 5, 2014 02:56:00 UTC 2014 年 1 月 5 日 (日) 11 時 56 分 0 秒 (日本時間)
composite number 合成数
9443861490031479538300104931794333683105981112277019937040923399790136411332633788037775445960125918153200419727177334732423924449108079748163693599160545645330535152151101783840503672612801678908709338929695697796432319<220>
prime factors 素因数
142297045000649576294478005435172025232087<42>
composite cofactor 合成数の残り
66367235454456337834835922831807205249536648302761581676830243633870462789874597846935722687528967244532919038608916215810422137934341563165162373919994557674478774898765238037337<179>
factorization results 素因数分解の結果
Using B1=43000000, B2=582162027730, polynomial Dickson(30), sigma=423615864
Step 1 took 285632ms
Step 2 took 162148ms
********** Factor found in step 2: 142297045000649576294478005435172025232087
Found probable prime factor of 42 digits: 142297045000649576294478005435172025232087
Composite cofactor 

c179

name 名前Erik Branger
date 日付July 14, 2020 11:36:17 UTC 2020 年 7 月 14 日 (火) 20 時 36 分 17 秒 (日本時間)
composite number 合成数
66367235454456337834835922831807205249536648302761581676830243633870462789874597846935722687528967244532919038608916215810422137934341563165162373919994557674478774898765238037337<179>
prime factors 素因数
46897699099077955452232987206654391737357178051198856785498471000399189041449<77>
1415149074035514214018826041754800834312616597418039422809257871947755935709307779033568591833022926513<103>
factorization results 素因数分解の結果
Number: 90007_222
N = 66367235454456337834835922831807205249536648302761581676830243633870462789874597846935722687528967244532919038608916215810422137934341563165162373919994557674478774898765238037337 (179 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=46897699099077955452232987206654391737357178051198856785498471000399189041449 (pp77)
r2=1415149074035514214018826041754800834312616597418039422809257871947755935709307779033568591833022926513 (pp103)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 115.44 hours.
Factorization parameters were as follows:
n: 66367235454456337834835922831807205249536648302761581676830243633870462789874597846935722687528967244532919038608916215810422137934341563165162373919994557674478774898765238037337
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 900
c0: 7
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 10434782 relations
Pruned matrix : 8875885 x 8876110
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 50.73 hours.
Total relation processing time: 0.40 hours.
Matrix solve time: 63.65 hours.
time per square root: 0.65 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 115.44 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e6210Serge BatalovDecember 4, 2013 17:32:04 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 4 秒 (日本時間)
4511e6560 / 267560Serge BatalovDecember 4, 2013 17:32:04 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 4 秒 (日本時間)
500Serge BatalovJanuary 4, 2014 22:39:29 UTC 2014 年 1 月 5 日 (日) 7 時 39 分 29 秒 (日本時間)
5043e6500 / 7419Serge BatalovJanuary 4, 2014 23:01:25 UTC 2014 年 1 月 5 日 (日) 8 時 1 分 25 秒 (日本時間)

9×10224+7

c192

composite cofactor 合成数の残り
180195749022292999324815804528429383883654429866658070727057670274416965469463145344534327729666398945872503872692665041665892968684347304704692661730347017397407072476025452858623386298289723<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 5, 2014 01:19:07 UTC 2014 年 1 月 5 日 (日) 10 時 19 分 7 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:57 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 57 秒 (日本時間)
1500Dmitry DomanovFebruary 10, 2014 05:55:58 UTC 2014 年 2 月 10 日 (月) 14 時 55 分 58 秒 (日本時間)
4511e61500 / 3876Dmitry DomanovFebruary 14, 2014 12:08:35 UTC 2014 年 2 月 14 日 (金) 21 時 8 分 35 秒 (日本時間)
5043e639 / 7137CypJanuary 26, 2014 19:03:46 UTC 2014 年 1 月 27 日 (月) 4 時 3 分 46 秒 (日本時間)

9×10225+7

c207

name 名前Dmitry Domanov
date 日付February 17, 2014 05:46:16 UTC 2014 年 2 月 17 日 (月) 14 時 46 分 16 秒 (日本時間)
composite number 合成数
268210672266730474723071570231666617730451739356749078052089620708465937602481292061785003322325458342941739658692950973919711583918237994518674177698203228548698647432164065392499959410057926924866218055289<207>
prime factors 素因数
49615468464346702991200046624124311670379<41>
5405787359630890455512038443034203930511060956117668282842743909243452898604370016971079167665687041319422053085921189882412484192556138322171757282595682210487525291<166>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4079313249
Step 1 took 85698ms
Step 2 took 29755ms
********** Factor found in step 2: 49615468464346702991200046624124311670379
Found probable prime factor of 41 digits: 49615468464346702991200046624124311670379

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 1, 2014 02:39:30 UTC 2014 年 1 月 1 日 (水) 11 時 39 分 30 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:58 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 58 秒 (日本時間)
1500Dmitry DomanovFebruary 10, 2014 05:56:29 UTC 2014 年 2 月 10 日 (月) 14 時 56 分 29 秒 (日本時間)
4511e61500 / 3876Dmitry DomanovFebruary 14, 2014 12:08:46 UTC 2014 年 2 月 14 日 (金) 21 時 8 分 46 秒 (日本時間)
5043e639 / 7137CypJanuary 12, 2014 16:30:02 UTC 2014 年 1 月 13 日 (月) 1 時 30 分 2 秒 (日本時間)

9×10226+7

c218

name 名前Dmitry Domanov
date 日付February 14, 2014 05:26:38 UTC 2014 年 2 月 14 日 (金) 14 時 26 分 38 秒 (日本時間)
composite number 合成数
14421821099092123334971129285639975907565870778123862687676760439376656606447071261895775236906546121915604660840104694684673601435770616927434613883999630252068721822889304824856607714685239523310246391241847770977921<218>
prime factors 素因数
1729504059838726995527958369425692432019<40>
8338703235213527662441421817318225520115654679015460090444086173355604083695045060421479394215467089665953248251651411258923533870651039179963494071841138938045767257089713215259<178>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1354890808
Step 1 took 42699ms
Step 2 took 13726ms
********** Factor found in step 2: 1729504059838726995527958369425692432019
Found probable prime factor of 40 digits: 1729504059838726995527958369425692432019

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 3, 2014 23:59:23 UTC 2014 年 1 月 4 日 (土) 8 時 59 分 23 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:59 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 59 秒 (日本時間)
1500Dmitry DomanovFebruary 10, 2014 05:56:52 UTC 2014 年 2 月 10 日 (月) 14 時 56 分 52 秒 (日本時間)
4511e60 / 3876--
5043e639 / 7474CypJanuary 11, 2014 03:11:53 UTC 2014 年 1 月 11 日 (土) 12 時 11 分 53 秒 (日本時間)

9×10228+7

c173

name 名前Serge Batalov
date 日付January 9, 2014 09:53:31 UTC 2014 年 1 月 9 日 (木) 18 時 53 分 31 秒 (日本時間)
composite number 合成数
21594465270698445911762420143272171605810898741668930192345445478178033828385338200702432799737912522771333831613361178110687246980965071055931564494741754429806923646926377<173>
prime factors 素因数
106083295228792347581684102225158748873<39>
203561411097997595093659814198011667661729548859217377446245308830729852953874260426847525295582274055520855762477144913079813948209249<135>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3411684468
Step 1 took 12174ms
********** Factor found in step 1: 106083295228792347581684102225158748873
Found probable prime factor of 39 digits: 106083295228792347581684102225158748873
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e6590 / 2318290CypJanuary 1, 2014 08:44:14 UTC 2014 年 1 月 1 日 (水) 17 時 44 分 14 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:00 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 0 秒 (日本時間)

9×10229+7

c194

composite cofactor 合成数の残り
83371624758328362861240784479230585164590937058795619199472894311864629675808417535552513062698390501129908238649645727920127352071375520501103870972440195597861198840316678298491383463548647303<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 3, 2014 22:14:02 UTC 2014 年 1 月 4 日 (土) 7 時 14 分 2 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:00 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 0 秒 (日本時間)
1500Dmitry DomanovFebruary 10, 2014 05:57:07 UTC 2014 年 2 月 10 日 (月) 14 時 57 分 7 秒 (日本時間)
4511e61500 / 4013Dmitry DomanovFebruary 14, 2014 12:09:00 UTC 2014 年 2 月 14 日 (金) 21 時 9 分 0 秒 (日本時間)

9×10230+7

c152

name 名前ebina
date 日付October 15, 2022 21:25:51 UTC 2022 年 10 月 16 日 (日) 6 時 25 分 51 秒 (日本時間)
composite number 合成数
20917160157468957496494522108167658451339629067117797629838810819508944993035812673815749323213800422330600959276059552809701909279286963161930212699171<152>
prime factors 素因数
3146403200663632567790876078020443866368414157042207603<55>
6647959216751735839485717005093109931092014943878666556138652714181421285783655941840865535168657<97>
factorization results 素因数分解の結果
Number: 90007_230
N = 20917160157468957496494522108167658451339629067117797629838810819508944993035812673815749323213800422330600959276059552809701909279286963161930212699171 (152 digits)
Divisors found:
r1=3146403200663632567790876078020443866368414157042207603 (pp55)
r2=6647959216751735839485717005093109931092014943878666556138652714181421285783655941840865535168657 (pp97)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 121.59 hours.
Factorization parameters were as follows:
n: 20917160157468957496494522108167658451339629067117797629838810819508944993035812673815749323213800422330600959276059552809701909279286963161930212699171
# norm 1.216808e-14 alpha -6.044141 e 4.395e-12 rroots 5
skew: 8176137.61
c0: -6579891531335783970310799834769232615
c1: 2499882250356045001752509232903
c2: 4496028577623727436744369
c3: -509097524641645971
c4: -68577454678
c5: 360
Y0: -566031418126985605391500183602
Y1: 16886117298316001
type: gnfs
Factor base limits: 23100000/23100000
Large primes per side: 3
Large prime bits: 29/29
Sieved algebraic special-q in [0, 0)
Total raw relations: 50976502
Relations: 5574412 relations
Pruned matrix : 3681709 x 3681935
Total sieving time: 112.82 hours.
Total relation processing time: 0.55 hours.
Matrix solve time: 7.98 hours.
time per square root: 0.23 hours.
Prototype def-par.txt line would be: gnfs,151,5,65,2000,1e-05,0.28,250,20,50000,3600,23100000,23100000,29,29,58,58,2.6,2.6,100000
total time: 121.59 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
processors: 8, speed: 2.19GHz
Windows-7-6.1.7601-SP1
Running Python 3.2
execution environment 実行環境
core i9 9900k+ core i7 2670qm

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e6810210Serge BatalovDecember 4, 2013 17:31:42 UTC 2013 年 12 月 5 日 (木) 2 時 31 分 42 秒 (日本時間)
600Lionel DebrouxDecember 30, 2013 12:13:48 UTC 2013 年 12 月 30 日 (月) 21 時 13 分 48 秒 (日本時間)
4511e6430060Serge BatalovDecember 4, 2013 17:31:42 UTC 2013 年 12 月 5 日 (木) 2 時 31 分 42 秒 (日本時間)
230Ignacio SantosDecember 26, 2013 23:14:55 UTC 2013 年 12 月 27 日 (金) 8 時 14 分 55 秒 (日本時間)
230Ignacio SantosDecember 27, 2013 14:53:57 UTC 2013 年 12 月 27 日 (金) 23 時 53 分 57 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:25:21 UTC 2014 年 1 月 6 日 (月) 11 時 25 分 21 秒 (日本時間)
1000Dmitry DomanovMarch 18, 2014 11:01:00 UTC 2014 年 3 月 18 日 (火) 20 時 1 分 0 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:23 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 23 秒 (日本時間)
1480Ignacio SantosJanuary 17, 2016 18:38:01 UTC 2016 年 1 月 18 日 (月) 3 時 38 分 1 秒 (日本時間)
5043e66600yoyo@HomeMay 4, 2021 12:52:12 UTC 2021 年 5 月 4 日 (火) 21 時 52 分 12 秒 (日本時間)

9×10232+7

c198

composite cofactor 合成数の残り
205621229608357523909743643220878065702916826267128633074220005009045442048771292659077495779624433794184453953830232458706383498080435373213373736651073800490459644016666210629645241757193396537367<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:27:20 UTC 2014 年 1 月 7 日 (火) 5 時 27 分 20 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:10:01 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 1 秒 (日本時間)
1500Dmitry DomanovJanuary 13, 2014 13:52:54 UTC 2014 年 1 月 13 日 (月) 22 時 52 分 54 秒 (日本時間)
4511e61500 / 4040Dmitry DomanovFebruary 14, 2014 12:09:11 UTC 2014 年 2 月 14 日 (金) 21 時 9 分 11 秒 (日本時間)

9×10233+7

c164

composite cofactor 合成数の残り
40286028619355567311455791515812931976755124702680939576125046343555815416733145129618031764342418648568911694666108372627802154378373007684425464784574048209262771<164>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 3, 2014 14:29:59 UTC 2014 年 1 月 3 日 (金) 23 時 29 分 59 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:03 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 3 秒 (日本時間)
1500Dmitry DomanovJanuary 13, 2014 13:52:38 UTC 2014 年 1 月 13 日 (月) 22 時 52 分 38 秒 (日本時間)
4511e61500 / 3311Dmitry DomanovMarch 18, 2014 11:00:47 UTC 2014 年 3 月 18 日 (火) 20 時 0 分 47 秒 (日本時間)
5043e6200 / 7137Dmitry DomanovSeptember 8, 2014 10:40:05 UTC 2014 年 9 月 8 日 (月) 19 時 40 分 5 秒 (日本時間)

9×10234+7

c212

composite cofactor 合成数の残り
54418204049690637101766191308539002298932695577473501195394179854875366554879665227816600722933649155688750495673409820134178649497243968576935090586968734316883851648629750909715869346444698674817554193901653303<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 2, 2014 02:40:54 UTC 2014 年 1 月 2 日 (木) 11 時 40 分 54 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:03 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 3 秒 (日本時間)
1500Dmitry DomanovJanuary 13, 2014 13:52:25 UTC 2014 年 1 月 13 日 (月) 22 時 52 分 25 秒 (日本時間)
4511e61500 / 3683Dmitry DomanovFebruary 14, 2014 12:09:25 UTC 2014 年 2 月 14 日 (金) 21 時 9 分 25 秒 (日本時間)
5043e694 / 7137CypFebruary 10, 2014 20:54:34 UTC 2014 年 2 月 11 日 (火) 5 時 54 分 34 秒 (日本時間)

9×10235+7

c233

name 名前Serge Batalov
date 日付December 4, 2013 06:08:06 UTC 2013 年 12 月 4 日 (水) 15 時 8 分 6 秒 (日本時間)
composite number 合成数
11790907899908292938556268832700117909078999082929385562688327001179090789990829293855626883270011790907899908292938556268832700117909078999082929385562688327001179090789990829293855626883270011790907899908292938556268832700117909079<233>
prime factors 素因数
121017289325033390837784637974462677<36>
composite cofactor 合成数の残り
97431598126774846399561095578732390001046435939879812064355602217093016309668767183721769108359788364157604472729123618425613353696513342190402848052977559231155074735271081974389128124207840098427<197>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=2935732093
Step 1 took 90190ms
Step 2 took 41859ms
********** Factor found in step 2: 121017289325033390837784637974462677
Found probable prime factor of 36 digits: 121017289325033390837784637974462677
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62010210Serge BatalovDecember 4, 2013 17:32:26 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 26 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:04 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 4 秒 (日本時間)
1500Dmitry DomanovJanuary 13, 2014 13:52:11 UTC 2014 年 1 月 13 日 (月) 22 時 52 分 11 秒 (日本時間)
4511e61560 / 374360Serge BatalovDecember 4, 2013 17:32:26 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 26 秒 (日本時間)
1500Dmitry DomanovMarch 18, 2014 11:01:47 UTC 2014 年 3 月 18 日 (火) 20 時 1 分 47 秒 (日本時間)
5043e682 / 7127CypFebruary 12, 2014 06:06:00 UTC 2014 年 2 月 12 日 (水) 15 時 6 分 0 秒 (日本時間)

9×10236+7

c228

composite cofactor 合成数の残り
115114545606674093934744940021483947877321219788428446667591349408912242229055068915727981913372452186661542302592069691496032496157816375321385118241137885058540368289999884730689282010266450076125114709390370532603904967110643<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 6, 2014 00:44:31 UTC 2014 年 1 月 6 日 (月) 9 時 44 分 31 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:05 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 5 秒 (日本時間)
1500Dmitry DomanovJanuary 13, 2014 13:51:59 UTC 2014 年 1 月 13 日 (月) 22 時 51 分 59 秒 (日本時間)
4511e61500 / 3876Dmitry DomanovMarch 18, 2014 11:02:01 UTC 2014 年 3 月 18 日 (火) 20 時 2 分 1 秒 (日本時間)
5043e639 / 7137CypJanuary 12, 2014 10:09:29 UTC 2014 年 1 月 12 日 (日) 19 時 9 分 29 秒 (日本時間)

9×10237+7

c198

composite cofactor 合成数の残り
796898914601478556213307509231633690812995266830063622941568132521356211053109293754462540748576381352252119681962647531423716241862265299003414965965435067936469080308698682429523655970705544569901<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 6, 2014 02:32:47 UTC 2014 年 1 月 6 日 (月) 11 時 32 分 47 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:05 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 5 秒 (日本時間)
1500Dmitry DomanovJanuary 13, 2014 13:51:44 UTC 2014 年 1 月 13 日 (月) 22 時 51 分 44 秒 (日本時間)
4511e61500 / 4013Dmitry DomanovFebruary 14, 2014 12:09:39 UTC 2014 年 2 月 14 日 (金) 21 時 9 分 39 秒 (日本時間)

9×10238+7

c211

composite cofactor 合成数の残り
5162636600096189684648081917109535481162288088592818829769710346793262382628995866727778559350971011681558058077072798250811075510352950415850211450381354079610049464627161029742014544669134484389585104113514943<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 5, 2014 11:05:17 UTC 2014 年 1 月 5 日 (日) 20 時 5 分 17 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:06 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 6 秒 (日本時間)
1500Dmitry DomanovJanuary 13, 2014 13:51:34 UTC 2014 年 1 月 13 日 (月) 22 時 51 分 34 秒 (日本時間)
4511e61500 / 3876Dmitry DomanovFebruary 14, 2014 12:09:50 UTC 2014 年 2 月 14 日 (金) 21 時 9 分 50 秒 (日本時間)
5043e639 / 7137CypJanuary 11, 2014 18:40:11 UTC 2014 年 1 月 12 日 (日) 3 時 40 分 11 秒 (日本時間)

9×10239+7

c192

composite cofactor 合成数の残り
348870028814809257917936163237714340645121648573670520758524830722173462141718530711468942878437219638439504296783300040256976369290415421014394505330605755285651060452441934552900016635625089<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:27:21 UTC 2014 年 1 月 7 日 (火) 5 時 27 分 21 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:10:07 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 7 秒 (日本時間)
1500Dmitry DomanovJanuary 13, 2014 13:51:22 UTC 2014 年 1 月 13 日 (月) 22 時 51 分 22 秒 (日本時間)
4511e61500 / 4040Dmitry DomanovFebruary 14, 2014 12:10:05 UTC 2014 年 2 月 14 日 (金) 21 時 10 分 5 秒 (日本時間)

9×10240+7

c215

composite cofactor 合成数の残り
49482956263514112636776846733122868225657550454004138582329393503223542989405387512517628565055759242775786489362222098601706703246615335291811186287092146111983954933633792014678495933974934702643465005012114797393<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:27:21 UTC 2014 年 1 月 7 日 (火) 5 時 27 分 21 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:10:07 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 7 秒 (日本時間)
1500Dmitry DomanovJanuary 13, 2014 13:51:09 UTC 2014 年 1 月 13 日 (月) 22 時 51 分 9 秒 (日本時間)
4511e61500 / 4040Dmitry DomanovMarch 18, 2014 11:02:31 UTC 2014 年 3 月 18 日 (火) 20 時 2 分 31 秒 (日本時間)

9×10241+7

c198

name 名前Dmitry Domanov
date 日付January 14, 2014 05:54:12 UTC 2014 年 1 月 14 日 (火) 14 時 54 分 12 秒 (日本時間)
composite number 合成数
644179030616957911585072169687656572782105182166234055677441209820860389024693411256115469726748875691878641147660217575905683269498732369383482297616643230861995900899890490711130865898865090264629<198>
prime factors 素因数
2100381677437420183077936704698222439<37>
306696176955271931612834122610454663208287170779064436265947259127798358959265256935980071732838710223669547973206787211368718919972449863154177584323142021470211<162>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2853497892
Step 1 took 27280ms
Step 2 took 9954ms
********** Factor found in step 2: 2100381677437420183077936704698222439
Found probable prime factor of 37 digits: 2100381677437420183077936704698222439

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:27:22 UTC 2014 年 1 月 7 日 (火) 5 時 27 分 22 秒 (日本時間)
403e61800 / 2100300Serge BatalovJanuary 9, 2014 05:10:08 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 8 秒 (日本時間)
1500Dmitry DomanovJanuary 13, 2014 13:50:58 UTC 2014 年 1 月 13 日 (月) 22 時 50 分 58 秒 (日本時間)

9×10243+7

c241

composite cofactor 合成数の残り
5398920215956808638272345530893821235752849430113977204559088182363527294541091781643671265746850629874025194961007798440311937612477504499100179964007198560287942411517696460707858428314337132573485302939412117576484703059388122375524895021<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e6210Serge BatalovDecember 4, 2013 17:32:39 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 39 秒 (日本時間)
4511e6326060Serge BatalovDecember 4, 2013 17:32:39 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 39 秒 (日本時間)
2000Serge BatalovJanuary 4, 2014 09:54:38 UTC 2014 年 1 月 4 日 (土) 18 時 54 分 38 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:30:06 UTC 2014 年 1 月 6 日 (月) 11 時 30 分 6 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:49 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 49 秒 (日本時間)
5043e668132000Serge BatalovMay 12, 2014 03:34:56 UTC 2014 年 5 月 12 日 (月) 12 時 34 分 56 秒 (日本時間)
2000Serge BatalovMay 12, 2014 05:04:59 UTC 2014 年 5 月 12 日 (月) 14 時 4 分 59 秒 (日本時間)
2813Serge BatalovMay 12, 2014 06:23:35 UTC 2014 年 5 月 12 日 (月) 15 時 23 分 35 秒 (日本時間)

9×10244+7

c243

composite cofactor 合成数の残り
203160270880361173814898419864559819413092550790067720090293453724604966139954853273137697516930022573363431151241534988713318284424379232505643340857787810383747178329571106094808126410835214446952595936794582392776523702031602708803611738149<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e6210Serge BatalovDecember 4, 2013 17:32:41 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 41 秒 (日本時間)
4511e660Serge BatalovDecember 4, 2013 17:32:41 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 41 秒 (日本時間)
5043e63000 / 7531Serge BatalovDecember 25, 2013 07:46:58 UTC 2013 年 12 月 25 日 (水) 16 時 46 分 58 秒 (日本時間)

9×10246+7

c207

name 名前Serge Batalov
date 日付January 6, 2014 22:05:37 UTC 2014 年 1 月 7 日 (火) 7 時 5 分 37 秒 (日本時間)
composite number 合成数
170974982428827215067815787179035081794814545110870179904925590848674590595707108413132491055936370322634808745985734745705355484424680067436232897200936083439696365133288997143336719928460063562442107255079<207>
prime factors 素因数
25710891438213305650349864941<29>
composite cofactor 合成数の残り
6649904879405012280723922865445247352794300005019688264542081375351204850630994990232164256709939906826565335238183926635017242799984668554153991963145497962772705514103758613219<178>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=1058861003
Step 1 took 6580ms
Step 2 took 4684ms
********** Factor found in step 2: 25710891438213305650349864941
Found probable prime factor of 29 digits: 25710891438213305650349864941
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:27:23 UTC 2014 年 1 月 7 日 (火) 5 時 27 分 23 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:10:09 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 9 秒 (日本時間)
1500Dmitry DomanovJanuary 13, 2014 13:50:07 UTC 2014 年 1 月 13 日 (月) 22 時 50 分 7 秒 (日本時間)
4511e61500 / 3875Dmitry DomanovMarch 18, 2014 11:03:09 UTC 2014 年 3 月 18 日 (火) 20 時 3 分 9 秒 (日本時間)
5043e647 / 7143CypJanuary 11, 2014 12:54:11 UTC 2014 年 1 月 11 日 (土) 21 時 54 分 11 秒 (日本時間)

9×10247+7

c219

composite cofactor 合成数の残り
885483533796438276438650000352369402478004193284101164005732966911857312078446259967228403219290783475768006003931275679385185770646061954042026062847737509829419288171180850521116030612612148874475292544332047662680229<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 4, 2014 16:48:09 UTC 2014 年 1 月 5 日 (日) 1 時 48 分 9 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:10 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 10 秒 (日本時間)
1500Dmitry DomanovJanuary 13, 2014 13:50:19 UTC 2014 年 1 月 13 日 (月) 22 時 50 分 19 秒 (日本時間)
4511e640131500Dmitry DomanovMarch 18, 2014 11:03:26 UTC 2014 年 3 月 18 日 (火) 20 時 3 分 26 秒 (日本時間)
2513pJanuary 17, 2018 11:08:43 UTC 2018 年 1 月 17 日 (水) 20 時 8 分 43 秒 (日本時間)

9×10248+7

c249

name 名前NFS@Home + Dmitry Domanov
date 日付November 28, 2016 10:40:34 UTC 2016 年 11 月 28 日 (月) 19 時 40 分 34 秒 (日本時間)
composite number 合成数
900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007<249>
prime factors 素因数
24746123950844617839472004012789559625701316316587281572191163087<65>
36369332093694690044740674414909180490917176967109285151663713777042043964425205666014145034748139276988982961701612665737048964393131019147983177915594782015550945118299054581284089161<185>
factorization results 素因数分解の結果
24746123950844617839472004012789559625701316316587281572191163087
software ソフトウェア
ggnfs-lasieve4I14e on the NFS@Home grid + msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e60--
4511e61280120Serge BatalovDecember 3, 2013 20:13:26 UTC 2013 年 12 月 4 日 (水) 5 時 13 分 26 秒 (日本時間)
560Serge BatalovDecember 4, 2013 00:42:43 UTC 2013 年 12 月 4 日 (水) 9 時 42 分 43 秒 (日本時間)
600Serge BatalovDecember 4, 2013 04:23:07 UTC 2013 年 12 月 4 日 (水) 13 時 23 分 7 秒 (日本時間)
5043e60--
5511e710800 / 169922000Serge BatalovDecember 24, 2013 22:17:20 UTC 2013 年 12 月 25 日 (水) 7 時 17 分 20 秒 (日本時間)
4000Serge BatalovDecember 25, 2013 01:17:32 UTC 2013 年 12 月 25 日 (水) 10 時 17 分 32 秒 (日本時間)
2000Dmitry DomanovMay 10, 2016 14:47:29 UTC 2016 年 5 月 10 日 (火) 23 時 47 分 29 秒 (日本時間)
2800Dmitry DomanovMay 14, 2016 00:03:37 UTC 2016 年 5 月 14 日 (土) 9 時 3 分 37 秒 (日本時間)
6026e7300 / 37916100Lionel DebrouxMay 18, 2016 06:54:29 UTC 2016 年 5 月 18 日 (水) 15 時 54 分 29 秒 (日本時間)
100Lionel DebrouxMay 18, 2016 17:44:33 UTC 2016 年 5 月 19 日 (木) 2 時 44 分 33 秒 (日本時間)
100Lionel DebrouxMay 20, 2016 09:44:12 UTC 2016 年 5 月 20 日 (金) 18 時 44 分 12 秒 (日本時間)

9×10250+7

c251

name 名前Serge Batalov
date 日付December 3, 2013 21:02:55 UTC 2013 年 12 月 4 日 (水) 6 時 2 分 55 秒 (日本時間)
composite number 合成数
90000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007<251>
prime factors 素因数
65568997342340377559862604777849853<35>
composite cofactor 合成数の残り
1372599912274144254386492543073270359372612409833617679605114425811817439882930737575479085064390490783610912425097249149886778359661760384832248658889439324126593823839327259174953572621772585558453665783464278497619<217>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=240409859
Step 1 took 99915ms
********** Factor found in step 1: 65568997342340377559862604777849853
Found probable prime factor of 35 digits: 65568997342340377559862604777849853
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e60--
4511e61620120Serge BatalovDecember 3, 2013 20:13:51 UTC 2013 年 12 月 4 日 (水) 5 時 13 分 51 秒 (日本時間)
1500Dmitry DomanovJanuary 6, 2014 09:26:25 UTC 2014 年 1 月 6 日 (月) 18 時 26 分 25 秒 (日本時間)
5043e6800 / 7170Dmitry DomanovJanuary 14, 2014 13:47:00 UTC 2014 年 1 月 14 日 (火) 22 時 47 分 0 秒 (日本時間)
5511e78 / 17383Dmitry DomanovJanuary 15, 2014 08:12:38 UTC 2014 年 1 月 15 日 (水) 17 時 12 分 38 秒 (日本時間)

9×10253+7

c223

composite cofactor 合成数の残り
1566878680767113060391011028460811567705485505600987564882083003321168179363042777055031925686941370122980557674948231773532367596626125782302363028166644729370798183613472510478454072661323628813262503044352230750243728689<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

9×10255+7

c192

composite cofactor 合成数の残り
225027615709222957068047917552314482456286834670652215432421619713962939320583738316896462314126561377069187302244026759879613587041650663761010107078140165854537395972069954156262894426007867<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

9×10256+7

c211

composite cofactor 合成数の残り
8905508932352393188875987417214922400032545336860097727637041735263649548044445681614111114363888158439522727480130226279840565196941994072452523970021264401201030380320897190403053151144190410701985641177970927<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

9×10258+7

c257

composite cofactor 合成数の残り
20881670533642691415313225058004640371229698375870069605568445475638051044083526682134570765661252900232018561484918793503480278422273781902552204176334106728538283062645011600928074245939675174013921113689095127610208816705336426914153132250580046403712297<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

9×10259+7

c252

composite cofactor 合成数の残り
735421368375496933411378427971617736046010771749467990053605762389229097083718431966263182090960003610428637811439611760927162388662005495215548775388185836501889489522047283001688666374715278552977724797659228960867338311749220071338977844867454639067<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

9×10260+7

c232

composite cofactor 合成数の残り
2072522093289507212635948418543666295153677719434006505707739823922839507082846143743595259366648068971130023214040311896137681785643584398697684262587838754650834618057701966362728659630701276195930900510088426001382010454262782647<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

9×10262+7

c185

composite cofactor 合成数の残り
41914327607168674671558469733556094284401734280411332919270095782312387093572594319074395659112463255208847670446201256727778658505733304802637957094696146299308085533116344809651125699<185>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

9×10263+7

c237

composite cofactor 合成数の残り
110982522572168356474599202522728777989125370417058377810006399907136124857461052457466843260385967484909758196913417100149540691948257279231955881449479279644219192225322138369816293915648523344303292672226589588938227657789413753856133<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

9×10267+7

c233

composite cofactor 合成数の残り
26988311007637556982287742723138583096210558040236976718222967555819931989055804982201535733189579655534937600509335141294247103931092411157065316470682497392929061770823192884480532745212004377570987419847143736714751745520230234731<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

9×10268+7

c227

composite cofactor 合成数の残り
56655804036998131662916556673225543715423358700839211034592280853732279519718317959171143339871199113248232217946130782536125305197274973990433466721040098466816835485034763457068522416744391964760131350077895193969451079026299<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

9×10269+7

c201

composite cofactor 合成数の残り
321734399585918139367800920446236106181961447246773319402073090185940312226432130597857675802480535453064418728174481114062854463534261591349234150881697404557619767396616043312598446305150524935299047<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

9×10270+7

c219

composite cofactor 合成数の残り
999103436032937226091203129118439617789130823492909704417043338003396948427746097651821736970183226609105709568138984248254290643411641062315822921480058448436338677120481240426304818983534209830496984718141211620727903<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

9×10271+7

c263

composite cofactor 合成数の残り
22890099374032107884912371965160651228708907910741763566368473162558560990646510507521193372665440259057285566135940781719768462504267022903825040620090004537094920470027060540682728888641352528319911349269855768535176771853330918136212551291616470914763010513693<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

9×10272+7

c253

composite cofactor 合成数の残り
8301916105396670233487286757727239979338174759515515126055378226299308225607277566243991801323140592180072465229923489186022341729280043313596588368967472491719971418659276757798989818879292435128476687145966466790146706177630316513195192159183024325749<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

9×10274+7

c212

composite cofactor 合成数の残り
22342534805290270269134422847201848425166822206960645359262835049612749122916454886579744712959569042137951851998261461140610917408680249832988047801413984826658464499067946254947610850325639042618748432422799827<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

9×10275+7

c270

composite cofactor 合成数の残り
201873068046700866955105897003912075755336122022848891055161367236943130338000563898770077117755027929138964261064943238900850491235680750752481861144077481575157231082082262378015394840169241408113996375705518334897101932665462456431866605865489283119575923002920206081<270>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

9×10277+7

c269

composite cofactor 合成数の残り
20875920554363855821392715982939185472781643202015599634158213780471694296524700911445869182543664993392125150780018484324065627910720179736368850158533677511357220420946381054200813838067106550781317291319089016513901361668311846548936938988527955405296442190227182783<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

9×10279+7

c250

composite cofactor 合成数の残り
2022615201101739429215564335536561086987162928472706860326915806198377203959872628486444014480168705352778513455377804268931573247444703942297766764391891864798174918825186259110055366086013828475470330272133761702491603667640233046452407660519991703<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

9×10280+7

c259

composite cofactor 合成数の残り
4444436727493156571959281137880046605583849191145329227989062623191980925383442731815892873263957515049549170742261181733520355719953979243715263413063120209936830659108366278680388580273601251381737723231395264923603261716111207547955060373093723116779094971<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

9×10281+7

c222

composite cofactor 合成数の残り
136249991585623034820938966830821059882231161236881905102981138563886641197435384195462414827598471766190441076198725306789034875630237126596798584556476751719677283258640972897840890556326889183143398668912071911257700427<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

9×10282+7

c200

composite cofactor 合成数の残り
29597951256409228429800844797089741261986177751060592612821330648769710539845613918305331643635006689887377769258255478725561028457472413211586864956757966963067690353771565354561460844659246597179567<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

9×10283+7

c238

composite cofactor 合成数の残り
9483644897484895950306373673855937057495655725319206844636837764162532079363005251326140949385158747102261016753379871260398127110334694943812253940783641798762146999004159724860620979781316535090316941588458420869834936403752642014608567<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

9×10284+7

c219

composite cofactor 合成数の残り
596246806295486663139187951322443516387947267480046788118914917870519503299167800480073806228294138304974686738617080307476940655750882937314148186678823783200656790374354518340153410490701888246136152513398865977482271<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

9×10286+7

c249

composite cofactor 合成数の残り
671908956274927273730852987018746645374224592620646057364711587322875741646497499395724425482278207439439189959440448350224682986707101402307377184990278896029827372532152302252187727347169381297621482376764420752439390518490249899295072005654373561<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

9×10287+7

c268

composite cofactor 合成数の残り
1010750141958102795686059367109099001902345270581952529508959662640014513377552055004692305226950214788900323567650236543659180716052463313273624305646397022517354149206026510395470927644037631367808881089143220340840923850547127066414608825346514332024119158101452559<268>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

9×10288+7

c237

composite cofactor 合成数の残り
280236899675866850526665503001251919988002087469457313247183874668844902819472891479217725376138727982557574698818768926008080135077869473317543241063656325248957945252947101141717457170774298389933726030876030321980032637177252831007907<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

9×10289+7

c288

composite cofactor 合成数の残り
927835051546391752577319587628865979381443298969072164948453608247422680412371134020618556701030927835051546391752577319587628865979381443298969072164948453608247422680412371134020618556701030927835051546391752577319587628865979381443298969072164948453608247422680412371134020618556701031<288>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

9×10290+7

c223

composite cofactor 合成数の残り
6093326787347318745651685771256310515437959521972984547961650723683006201713873912217630055353649135713325825121583502055365381470856562816605570866313627517145182379629770057424134722445032659549972205041620981501314302481<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

9×10291+7

c285

composite cofactor 合成数の残り
252866402222729391058087711319398727525690734781158317491019098521723345219084434255114721693692418983782188523309941411697493001009189811270912999712828055875720321555031722511602845106657222200197870769365977112162854279526444164274714396529976174084694567027676536782213781853896771<285>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

9×10294+7

c271

composite cofactor 合成数の残り
7091244679633747093144036161286408322282700383065815886993364243628488109146676626907928820984412341236531918239685739292914135936257917757292672844754654034145238319148374458838809232448495311095842050619854122326799546586501922791295510033670945221971928072462754458607<271>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

9×10295+7

c274

composite cofactor 合成数の残り
9664737308241894617775798267756194675692707498615038916306362345364188315292038729808914265392226919898916075606240251720074017769799088811686935686221467510653693452835755460896855812147161432240385878457010965501430514532601343855778050340296148437723549191976999841081543<274>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

9×10297+7

c208

composite cofactor 合成数の残り
2153097616722101045048446764012203510722145026572355621408633176524066553498045682442350826288219893060741698424953143218317802857954407380089835020335202616782604759810064508155966303210789891909257712812423<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

9×10298+7

c215

composite cofactor 合成数の残り
13622285684195269044788707366617285362827080183177204833361454404870437265211606930146615476982710214454597665281587801484379975667723380608325316291696386998154892936469373661190872800397213367232727672808570395543<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

9×10299+7

c294

composite cofactor 合成数の残り
105182050846639544500947982450491685183577155066274625893740651214800096253263419213698723311953718027724352437938791759757651205333711677065860208613404891409466361202408481974075429320992596001703014272152479380519793333631738707216762559584170942803987521668963336225060605313353106779766199<294>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)

9×10300+7

c287

composite cofactor 合成数の残り
30917969012561521362423390704837720302295265365543414637066255591780737526025932925146097579783911340682179711579030548256635916383996327080393766685886149869842324788110226805718463568896886027124264720188282703524828310246594732604164096263019256646958329346757625275435292673056906821<287>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 31, 2019 00:00:00 UTC 2019 年 3 月 31 日 (日) 9 時 0 分 0 秒 (日本時間)
4511e62000Dmitry DomanovApril 1, 2019 19:14:06 UTC 2019 年 4 月 2 日 (火) 4 時 14 分 6 秒 (日本時間)
5043e6600 / 6996Dmitry DomanovApril 3, 2019 16:48:20 UTC 2019 年 4 月 4 日 (木) 1 時 48 分 20 秒 (日本時間)