Table of contents 目次

8×10115+9

c98

name 名前Jo Yeong Uk
date 日付January 16, 2008 12:11:14 UTC 2008 年 1 月 16 日 (水) 21 時 11 分 14 秒 (日本時間)
composite number 合成数
17318397824249470808770799132908237419565642366974059924207959257121120487219216176994046339559147<98>
prime factors 素因数
562467957547373531345562723972322221908786381<45>
30790016732270191561933012796406982113872329442024087<53>
factorization results 素因数分解の結果
Number: 80009_115
N=17318397824249470808770799132908237419565642366974059924207959257121120487219216176994046339559147
  ( 98 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=562467957547373531345562723972322221908786381 (pp45)
 r2=30790016732270191561933012796406982113872329442024087 (pp53)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.61 hours.
Scaled time: 1.31 units (timescale=2.147).
Factorization parameters were as follows:
n: 17318397824249470808770799132908237419565642366974059924207959257121120487219216176994046339559147
m: 200000000000000000000000
c5: 1
c0: 36
skew: 2.05
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, 390001)
Primes: RFBsize:49098, AFBsize:49231, largePrimes:1769889 encountered
Relations: rels:1784790, finalFF:176199
Max relations in full relation-set: 28
Initial matrix: 98393 x 176199 with sparse part having weight 13245210.
Pruned matrix : 77376 x 77931 with weight 3716378.
Total sieving time: 0.57 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,116,5,0,0,0,0,0,0,0,0,600000,600000,25,25,45,45,2.4,2.4,30000
total time: 0.61 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 8178280k/8912896k available (2434k kernel code, 208060k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 4812.90 BogoMIPS (lpj=2406451)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405121)
execution environment 実行環境
Core 2 Quad Q6600

8×10117+9

c92

name 名前Sinkiti Sibata
date 日付January 17, 2008 00:58:51 UTC 2008 年 1 月 17 日 (木) 9 時 58 分 51 秒 (日本時間)
composite number 合成数
23793994347243262779610066748319237664501818933229988395230398510229558410776055302151026903<92>
prime factors 素因数
8959752026870266003989106938343<31>
2655653222978175541447519201124671928388493948927052821291921<61>
factorization results 素因数分解の結果
Wed Jan 16 21:03:16 2008  Msieve v. 1.30
Wed Jan 16 21:03:16 2008  random seeds: 2dab32f1 b486c163
Wed Jan 16 21:03:16 2008  factoring 23793994347243262779610066748319237664501818933229988395230398510229558410776055302151026903 (92 digits)
Wed Jan 16 21:03:17 2008  commencing quadratic sieve (92-digit input)
Wed Jan 16 21:03:18 2008  using multiplier of 7
Wed Jan 16 21:03:18 2008  using 64kb Pentium 2 sieve core
Wed Jan 16 21:03:18 2008  sieve interval: 18 blocks of size 65536
Wed Jan 16 21:03:18 2008  processing polynomials in batches of 6
Wed Jan 16 21:03:18 2008  using a sieve bound of 1777823 (67059 primes)
Wed Jan 16 21:03:18 2008  using large prime bound of 186671415 (27 bits)
Wed Jan 16 21:03:18 2008  using double large prime bound of 772573811846445 (42-50 bits)
Wed Jan 16 21:03:18 2008  using trial factoring cutoff of 50 bits
Wed Jan 16 21:03:18 2008  polynomial 'A' values have 12 factors
Thu Jan 17 09:34:51 2008  67313 relations (18203 full + 49110 combined from 814645 partial), need 67155
Thu Jan 17 09:34:59 2008  begin with 832848 relations
Thu Jan 17 09:35:08 2008  reduce to 165375 relations in 10 passes
Thu Jan 17 09:35:08 2008  attempting to read 165375 relations
Thu Jan 17 09:35:23 2008  recovered 165375 relations
Thu Jan 17 09:35:23 2008  recovered 140039 polynomials
Thu Jan 17 09:35:35 2008  attempting to build 67313 cycles
Thu Jan 17 09:35:36 2008  found 67313 cycles in 5 passes
Thu Jan 17 09:35:39 2008  distribution of cycle lengths:
Thu Jan 17 09:35:39 2008     length 1 : 18203
Thu Jan 17 09:35:39 2008     length 2 : 12779
Thu Jan 17 09:35:39 2008     length 3 : 11589
Thu Jan 17 09:35:39 2008     length 4 : 9025
Thu Jan 17 09:35:39 2008     length 5 : 6318
Thu Jan 17 09:35:39 2008     length 6 : 4096
Thu Jan 17 09:35:39 2008     length 7 : 2477
Thu Jan 17 09:35:39 2008     length 9+: 2826
Thu Jan 17 09:35:39 2008  largest cycle: 18 relations
Thu Jan 17 09:35:40 2008  matrix is 67059 x 67313 with weight 3998972 (avg 59.41/col)
Thu Jan 17 09:35:45 2008  filtering completed in 3 passes
Thu Jan 17 09:35:45 2008  matrix is 62553 x 62617 with weight 3752163 (avg 59.92/col)
Thu Jan 17 09:35:47 2008  saving the first 48 matrix rows for later
Thu Jan 17 09:35:48 2008  matrix is 62505 x 62617 with weight 2858139 (avg 45.64/col)
Thu Jan 17 09:35:48 2008  matrix includes 64 packed rows
Thu Jan 17 09:35:48 2008  using block size 10922 for processor cache size 256 kB
Thu Jan 17 09:35:50 2008  commencing Lanczos iteration
Thu Jan 17 09:38:48 2008  lanczos halted after 990 iterations (dim = 62503)
Thu Jan 17 09:38:49 2008  recovered 16 nontrivial dependencies
Thu Jan 17 09:39:30 2008  prp31 factor: 8959752026870266003989106938343
Thu Jan 17 09:39:30 2008  prp61 factor: 2655653222978175541447519201124671928388493948927052821291921
Thu Jan 17 09:39:30 2008  elapsed time 12:36:14
execution environment 実行環境
(上の枠に貼り付けた素因数分解ソフトウェアの出力結果に実行環境の情報が含まれていない場合は、それをここに記入してください。例:Pentium 4 3.06GHz, Windows XP and 
Cygwin)
Pentium3 750MHz,  Windows Me

8×10121+9

c116

name 名前Sinkiti Sibata
date 日付January 17, 2008 00:30:24 UTC 2008 年 1 月 17 日 (木) 9 時 30 分 24 秒 (日本時間)
composite number 合成数
43165149321740613063824529351492192233834246905733249089350240402903503769126882337738156966828122310608860618114147<116>
prime factors 素因数
39837349575609258121788494808572654717964321457787972441<56>
1083534667380804556636556284146554026394969807509139591856667<61>
factorization results 素因数分解の結果
Number: 80009_121
N=43165149321740613063824529351492192233834246905733249089350240402903503769126882337738156966828122310608860618114147
  ( 116 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=39837349575609258121788494808572654717964321457787972441 (pp56)
 r2=1083534667380804556636556284146554026394969807509139591856667 (pp61)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 2.09 hours.
Scaled time: 1.41 units (timescale=0.675).
Factorization parameters were as follows:
name: 80009_121
n: 43165149321740613063824529351492192233834246905733249089350240402903503769126882337738156966828122310608860618114147
m: 2000000000000000000000000
c5: 5
c0: 18
skew: 1.29
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:63758, largePrimes:1975769 encountered
Relations: rels:1935048, finalFF:135159
Max relations in full relation-set: 28
Initial matrix: 112922 x 135159 with sparse part having weight 10397305.
Pruned matrix : 104434 x 105062 with weight 6434318.
Total sieving time: 1.80 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.19 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,122,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.09 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

8×10126+9

c92

name 名前Sinkiti Sibata
date 日付January 16, 2008 21:20:21 UTC 2008 年 1 月 17 日 (木) 6 時 20 分 21 秒 (日本時間)
composite number 合成数
22540137893577421722479220457850357073538436377154439147119377080504418319859512970688708411<92>
prime factors 素因数
2728784228720769076664362884053977424213249851<46>
8260139316381217641035166733618289230331842561<46>
factorization results 素因数分解の結果
Wed Jan 16 20:51:56 2008  Msieve v. 1.30
Wed Jan 16 20:51:56 2008  random seeds: cfffcf7b 8fc00eba
Wed Jan 16 20:51:56 2008  factoring 22540137893577421722479220457850357073538436377154439147119377080504418319859512970688708411 (92 digits)
Wed Jan 16 20:51:57 2008  commencing quadratic sieve (92-digit input)
Wed Jan 16 20:51:57 2008  using multiplier of 1
Wed Jan 16 20:51:57 2008  using 64kb Pentium 4 sieve core
Wed Jan 16 20:51:57 2008  sieve interval: 18 blocks of size 65536
Wed Jan 16 20:51:57 2008  processing polynomials in batches of 6
Wed Jan 16 20:51:57 2008  using a sieve bound of 1787701 (66803 primes)
Wed Jan 16 20:51:57 2008  using large prime bound of 187708605 (27 bits)
Wed Jan 16 20:51:57 2008  using double large prime bound of 780317810587350 (42-50 bits)
Wed Jan 16 20:51:57 2008  using trial factoring cutoff of 50 bits
Wed Jan 16 20:51:57 2008  polynomial 'A' values have 12 factors
Thu Jan 17 03:35:28 2008  67110 relations (16704 full + 50406 combined from 841445 partial), need 66899
Thu Jan 17 03:35:31 2008  begin with 858149 relations
Thu Jan 17 03:35:33 2008  reduce to 171422 relations in 10 passes
Thu Jan 17 03:35:33 2008  attempting to read 171422 relations
Thu Jan 17 03:35:38 2008  recovered 171422 relations
Thu Jan 17 03:35:38 2008  recovered 153847 polynomials
Thu Jan 17 03:35:39 2008  attempting to build 67110 cycles
Thu Jan 17 03:35:39 2008  found 67110 cycles in 6 passes
Thu Jan 17 03:35:39 2008  distribution of cycle lengths:
Thu Jan 17 03:35:39 2008     length 1 : 16704
Thu Jan 17 03:35:39 2008     length 2 : 12264
Thu Jan 17 03:35:39 2008     length 3 : 11271
Thu Jan 17 03:35:39 2008     length 4 : 8988
Thu Jan 17 03:35:39 2008     length 5 : 6855
Thu Jan 17 03:35:39 2008     length 6 : 4505
Thu Jan 17 03:35:39 2008     length 7 : 2786
Thu Jan 17 03:35:39 2008     length 9+: 3737
Thu Jan 17 03:35:39 2008  largest cycle: 23 relations
Thu Jan 17 03:35:39 2008  matrix is 66803 x 67110 with weight 4164343 (avg 62.05/col)
Thu Jan 17 03:35:41 2008  filtering completed in 3 passes
Thu Jan 17 03:35:41 2008  matrix is 63419 x 63483 with weight 3955932 (avg 62.31/col)
Thu Jan 17 03:35:41 2008  saving the first 48 matrix rows for later
Thu Jan 17 03:35:41 2008  matrix is 63371 x 63483 with weight 3075316 (avg 48.44/col)
Thu Jan 17 03:35:41 2008  matrix includes 64 packed rows
Thu Jan 17 03:35:42 2008  using block size 21845 for processor cache size 512 kB
Thu Jan 17 03:35:42 2008  commencing Lanczos iteration
Thu Jan 17 03:36:22 2008  lanczos halted after 1003 iterations (dim = 63369)
Thu Jan 17 03:36:22 2008  recovered 17 nontrivial dependencies
Thu Jan 17 03:36:23 2008  prp46 factor: 2728784228720769076664362884053977424213249851
Thu Jan 17 03:36:23 2008  prp46 factor: 8260139316381217641035166733618289230331842561
Thu Jan 17 03:36:23 2008  elapsed time 06:44:27
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

8×10133+9

c117

name 名前Sinkiti Sibata
date 日付January 17, 2008 07:46:07 UTC 2008 年 1 月 17 日 (木) 16 時 46 分 7 秒 (日本時間)
composite number 合成数
972001136258687370985823047469769423820780268765457967270853419909277049455757306026026401291609436357811577033677047<117>
prime factors 素因数
419570597518623739301843398921438222427110769704939738021<57>
2316656939278359599773662465108090166954145351342952510252907<61>
factorization results 素因数分解の結果
Number: 80009_133
N=972001136258687370985823047469769423820780268765457967270853419909277049455757306026026401291609436357811577033677047
  ( 117 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=419570597518623739301843398921438222427110769704939738021 (pp57)
 r2=2316656939278359599773662465108090166954145351342952510252907 (pp61)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 6.79 hours.
Scaled time: 4.59 units (timescale=0.675).
Factorization parameters were as follows:
name: 80009_133
n: 972001136258687370985823047469769423820780268765457967270853419909277049455757306026026401291609436357811577033677047
m: 200000000000000000000000000
c5: 250
c0: 9
skew: 0.51
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 1075001)
Primes: RFBsize:78498, AFBsize:63828, largePrimes:1528267 encountered
Relations: rels:1544425, finalFF:190502
Max relations in full relation-set: 28
Initial matrix: 142393 x 190502 with sparse part having weight 13662880.
Pruned matrix : 125537 x 126312 with weight 7340552.
Total sieving time: 6.39 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.27 hours.
Time per square root: 0.05 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: 6.79 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

8×10134+9

c123

name 名前Jo Yeong Uk
date 日付January 16, 2008 15:08:11 UTC 2008 年 1 月 17 日 (木) 0 時 8 分 11 秒 (日本時間)
composite number 合成数
831779404592797152588463117329260488018172917231409494936913348568290837598995454362795783479947855559771496090953957460411<123>
prime factors 素因数
28571873631885209731492091721987844825451<41>
29111825682462786935908160354061235293752365551347558913693510861695423975494302961<83>
factorization results 素因数分解の結果
Number: 80009_134
N=831779404592797152588463117329260488018172917231409494936913348568290837598995454362795783479947855559771496090953957460411
  ( 123 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=28571873631885209731492091721987844825451 (pp41)
 r2=29111825682462786935908160354061235293752365551347558913693510861695423975494302961 (pp83)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 2.83 hours.
Scaled time: 6.03 units (timescale=2.130).
Factorization parameters were as follows:
n: 831779404592797152588463117329260488018172917231409494936913348568290837598995454362795783479947855559771496090953957460411
m: 1000000000000000000000000000
c5: 4
c0: 45
skew: 1.62
type: snfs
Factor base limits: 1400000/1400000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 47/47
Sieved algebraic special-q in [700000, 1200001)
Primes: RFBsize:107126, AFBsize:107233, largePrimes:2282220 encountered
Relations: rels:2420613, finalFF:301201
Max relations in full relation-set: 28
Initial matrix: 214423 x 301201 with sparse part having weight 21861579.
Pruned matrix : 178535 x 179671 with weight 10032422.
Total sieving time: 2.69 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,135,5,0,0,0,0,0,0,0,0,1400000,1400000,25,25,47,47,2.3,2.3,50000
total time: 2.83 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 8178280k/8912896k available (2434k kernel code, 208060k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 4812.90 BogoMIPS (lpj=2406451)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405121)
execution environment 実行環境
Core 2 Quad Q6600

8×10135+9

c136

name 名前Robert Backstrom
date 日付January 19, 2008 07:54:47 UTC 2008 年 1 月 19 日 (土) 16 時 54 分 47 秒 (日本時間)
composite number 合成数
8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009<136>
prime factors 素因数
14801185105213067737040565827661608911957391220799504238072333395727<68>
540497260397233405983441758896201567297916533811770073388400426116967<69>
factorization results 素因数分解の結果
Number: n
N=8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009
  ( 136 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=14801185105213067737040565827661608911957391220799504238072333395727 (pp68)
 r2=540497260397233405983441758896201567297916533811770073388400426116967 (pp69)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 3.58 hours.
Scaled time: 6.27 units (timescale=1.752).
Factorization parameters were as follows:
name: KA_8_0_134_9
n: 8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009
type: snfs
skew: 1.02
deg: 5
c5: 8
c0: 9
m: 1000000000000000000000000000
rlim: 1500000
alim: 1500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 20000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 520001)
Primes: RFBsize:114155, AFBsize:114197, largePrimes:4737996 encountered
Relations: rels:4119531, finalFF:278781
Max relations in full relation-set: 28
Initial matrix: 228417 x 278781 with sparse part having weight 12620096.
Pruned matrix : 181742 x 182948 with weight 6381214.
Total sieving time: 3.06 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.35 hours.
Total square root time: 0.05 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,135,5,0,0,0,0,0,0,0,0,1500000,1500000,28,28,48,48,2.3,2.3,75000
total time: 3.58 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

8×10138+9

c139

name 名前Robert Backstrom
date 日付January 17, 2008 01:41:39 UTC 2008 年 1 月 17 日 (木) 10 時 41 分 39 秒 (日本時間)
composite number 合成数
8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009<139>
prime factors 素因数
2546678620364651588556275988984437932502588301075923203<55>
3141346511502304521005861647877216134965756685545711187785868781031519564330138156803<85>
factorization results 素因数分解の結果
Number: n
N=8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009
  ( 139 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=2546678620364651588556275988984437932502588301075923203 (pp55)
 r2=3141346511502304521005861647877216134965756685545711187785868781031519564330138156803 (pp85)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 3.84 hours.
Scaled time: 7.00 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_8_0_137_9
n: 8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009
skew: 0.51
deg: 5
c5: 250
c0: 9
m: 2000000000000000000000000000
type: snfs
rlim: 2200000
alim: 2200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 600001)
Primes: RFBsize:162662, AFBsize:162140, largePrimes:5837421 encountered
Relations: rels:5298457, finalFF:413705
Max relations in full relation-set: 48
Initial matrix: 324869 x 413705 with sparse part having weight 21736846.
Pruned matrix : 244542 x 246230 with weight 9611405.
Total sieving time: 3.39 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.25 hours.
Total square root time: 0.10 hours, sqrts: 4.
Prototype def-par.txt line would be:
snfs,138,5,0,0,0,0,0,0,0,0,2200000,2200000,28,28,48,48,2.5,2.5,75000
total time: 3.84 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

8×10141+9

c135

name 名前Jo Yeong Uk
date 日付January 16, 2008 23:43:00 UTC 2008 年 1 月 17 日 (木) 8 時 43 分 0 秒 (日本時間)
composite number 合成数
631561978295267382421119685178985059375115210720259331979527602692569760165128194845080609807825952886897433624217622994919004939367287<135>
prime factors 素因数
4990867357422239873844609760866802279933879758965510129<55>
126543531026932811719775808439501974442746850624376305592456058350578392937456103<81>
factorization results 素因数分解の結果
Number: 80009_141
N=631561978295267382421119685178985059375115210720259331979527602692569760165128194845080609807825952886897433624217622994919004939367287
  ( 135 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=4990867357422239873844609760866802279933879758965510129 (pp55)
 r2=126543531026932811719775808439501974442746850624376305592456058350578392937456103 (pp81)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 6.10 hours.
Scaled time: 13.13 units (timescale=2.152).
Factorization parameters were as follows:
n: 631561978295267382421119685178985059375115210720259331979527602692569760165128194845080609807825952886897433624217622994919004939367287
m: 20000000000000000000000000000
c5: 5
c0: 18
skew: 1.29
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:113902, largePrimes:3363009 encountered
Relations: rels:3471113, finalFF:400013
Max relations in full relation-set: 28
Initial matrix: 228123 x 400013 with sparse part having weight 33816000.
Pruned matrix : 169664 x 170868 with weight 12859155.
Total sieving time: 5.93 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,142,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,47,47,2.3,2.3,50000
total time: 6.10 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 8178280k/8912896k available (2434k kernel code, 208060k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 4812.90 BogoMIPS (lpj=2406451)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405121)
execution environment 実行環境
Core 2 Quad Q6600

8×10142+9

c129

name 名前Jo Yeong Uk
date 日付January 16, 2008 13:28:33 UTC 2008 年 1 月 16 日 (水) 22 時 28 分 33 秒 (日本時間)
composite number 合成数
820685213954773213822919467180879730424426411861459506248303265615586344244572061052072623142555533860262130428076763919363197137<129>
prime factors 素因数
1795510682849862934729054445135297<34>
composite cofactor 合成数の残り
457076207785168212371453509113670437822360245086692204469952475655630982399330567850785958184721<96>
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 820685213954773213822919467180879730424426411861459506248303265615586344244572061052072623142555533860262130428076763919363197137 (129 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2907880974
Step 1 took 6735ms
Step 2 took 4182ms
********** Factor found in step 2: 1795510682849862934729054445135297
Found probable prime factor of 34 digits: 1795510682849862934729054445135297
Composite cofactor 457076207785168212371453509113670437822360245086692204469952475655630982399330567850785958184721 has 96 digits
execution environment 実行環境
Core 2 Quad Q6600

c96

name 名前Jo Yeong Uk
date 日付January 17, 2008 23:39:21 UTC 2008 年 1 月 18 日 (金) 8 時 39 分 21 秒 (日本時間)
composite number 合成数
457076207785168212371453509113670437822360245086692204469952475655630982399330567850785958184721<96>
prime factors 素因数
627552504355594804282068645958259<33>
728347356775380943407963675027056892979696390562810902400314219<63>
factorization results 素因数分解の結果
Fri Jan 18 00:19:37 2008  
Fri Jan 18 00:19:37 2008  
Fri Jan 18 00:19:37 2008  Msieve v. 1.32
Fri Jan 18 00:19:37 2008  random seeds: 181d3ee3 28f57196
Fri Jan 18 00:19:37 2008  factoring 457076207785168212371453509113670437822360245086692204469952475655630982399330567850785958184721 (96 digits)
Fri Jan 18 00:19:38 2008  no P-1/P+1/ECM available, skipping
Fri Jan 18 00:19:38 2008  commencing quadratic sieve (96-digit input)
Fri Jan 18 00:19:38 2008  using multiplier of 41
Fri Jan 18 00:19:38 2008  using 32kb Intel Core sieve core
Fri Jan 18 00:19:38 2008  sieve interval: 36 blocks of size 32768
Fri Jan 18 00:19:38 2008  processing polynomials in batches of 6
Fri Jan 18 00:19:38 2008  using a sieve bound of 2265589 (83442 primes)
Fri Jan 18 00:19:38 2008  using large prime bound of 339838350 (28 bits)
Fri Jan 18 00:19:38 2008  using double large prime bound of 2271382337631900 (43-52 bits)
Fri Jan 18 00:19:38 2008  using trial factoring cutoff of 52 bits
Fri Jan 18 00:19:38 2008  polynomial 'A' values have 13 factors
Fri Jan 18 04:56:17 2008  84020 relations (20540 full + 63480 combined from 1255479 partial), need 83538
Fri Jan 18 04:56:17 2008  begin with 1276019 relations
Fri Jan 18 04:56:18 2008  reduce to 218047 relations in 13 passes
Fri Jan 18 04:56:18 2008  attempting to read 218047 relations
Fri Jan 18 04:56:20 2008  recovered 218047 relations
Fri Jan 18 04:56:20 2008  recovered 204713 polynomials
Fri Jan 18 04:56:21 2008  attempting to build 84020 cycles
Fri Jan 18 04:56:21 2008  found 84020 cycles in 6 passes
Fri Jan 18 04:56:21 2008  distribution of cycle lengths:
Fri Jan 18 04:56:21 2008     length 1 : 20540
Fri Jan 18 04:56:21 2008     length 2 : 14920
Fri Jan 18 04:56:21 2008     length 3 : 14308
Fri Jan 18 04:56:21 2008     length 4 : 11504
Fri Jan 18 04:56:21 2008     length 5 : 8432
Fri Jan 18 04:56:21 2008     length 6 : 5715
Fri Jan 18 04:56:21 2008     length 7 : 3656
Fri Jan 18 04:56:21 2008     length 9+: 4945
Fri Jan 18 04:56:21 2008  largest cycle: 22 relations
Fri Jan 18 04:56:21 2008  matrix is 83442 x 84020 with weight 5533587 (avg 65.86/col)
Fri Jan 18 04:56:22 2008  filtering completed in 4 passes
Fri Jan 18 04:56:22 2008  matrix is 79418 x 79482 with weight 5234465 (avg 65.86/col)
Fri Jan 18 04:56:23 2008  saving the first 48 matrix rows for later
Fri Jan 18 04:56:23 2008  matrix is 79370 x 79482 with weight 4121997 (avg 51.86/col)
Fri Jan 18 04:56:23 2008  matrix includes 64 packed rows
Fri Jan 18 04:56:23 2008  using block size 31792 for processor cache size 4096 kB
Fri Jan 18 04:56:25 2008  commencing Lanczos iteration
Fri Jan 18 04:56:52 2008  lanczos halted after 1256 iterations (dim = 79365)
Fri Jan 18 04:56:52 2008  recovered 15 nontrivial dependencies
Fri Jan 18 04:56:53 2008  prp33 factor: 627552504355594804282068645958259
Fri Jan 18 04:56:53 2008  prp63 factor: 728347356775380943407963675027056892979696390562810902400314219
Fri Jan 18 04:56:53 2008  elapsed time 04:37:16
execution environment 実行環境
Core 2 Quad Q6600

8×10143+9

c141

name 名前Jo Yeong Uk
date 日付January 17, 2008 07:27:46 UTC 2008 年 1 月 17 日 (木) 16 時 27 分 46 秒 (日本時間)
composite number 合成数
298396120850428944423722491607609101081685938082804923535994032077582991421111525550167847817978366281238343901529280119358448340171577769489<141>
prime factors 素因数
341296326661470018931101663238896398460963020877249035438454385737449<69>
874302175383230664843059392215687849285838943004522735011833597504969961<72>
factorization results 素因数分解の結果
Number: 80009_143
N=298396120850428944423722491607609101081685938082804923535994032077582991421111525550167847817978366281238343901529280119358448340171577769489
  ( 141 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=341296326661470018931101663238896398460963020877249035438454385737449 (pp69)
 r2=874302175383230664843059392215687849285838943004522735011833597504969961 (pp72)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 7.48 hours.
Scaled time: 16.07 units (timescale=2.150).
Factorization parameters were as follows:
n: 298396120850428944423722491607609101081685938082804923535994032077582991421111525550167847817978366281238343901529280119358448340171577769489
m: 100000000000000000000000000000
c5: 2
c0: 225
skew: 2.57
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, 1250001)
Primes: RFBsize:114155, AFBsize:113882, largePrimes:3338731 encountered
Relations: rels:3372927, finalFF:333484
Max relations in full relation-set: 28
Initial matrix: 228102 x 333484 with sparse part having weight 29484204.
Pruned matrix : 191664 x 192868 with weight 13878389.
Total sieving time: 7.28 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,145,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,47,47,2.3,2.3,50000
total time: 7.48 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 8178280k/8912896k available (2434k kernel code, 208060k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 4812.90 BogoMIPS (lpj=2406451)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405121)
execution environment 実行環境
Core 2 Quad Q6600

8×10144+9

c140

name 名前Sinkiti Sibata
date 日付January 18, 2008 05:36:07 UTC 2008 年 1 月 18 日 (金) 14 時 36 分 7 秒 (日本時間)
composite number 合成数
83157489891167635104934357556417159548039042441503903204681766680872737856407804330426286082554598089456669750423583464133135141315759383803<140>
prime factors 素因数
1783403562694297290006912071546504111216735779123<49>
46628531887385325172139496576332321929456019180371596843235469372553694072124836083262715161<92>
factorization results 素因数分解の結果
Number: 80009_144
N=83157489891167635104934357556417159548039042441503903204681766680872737856407804330426286082554598089456669750423583464133135141315759383803
  ( 140 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=1783403562694297290006912071546504111216735779123 (pp49)
 r2=46628531887385325172139496576332321929456019180371596843235469372553694072124836083262715161 (pp92)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 17.72 hours.
Scaled time: 11.96 units (timescale=0.675).
Factorization parameters were as follows:
name: 80009_144
n: 83157489891167635104934357556417159548039042441503903204681766680872737856407804330426286082554598089456669750423583464133135141315759383803
m: 100000000000000000000000000000
c5: 4
c0: 45
skew: 1.62
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [650000, 2350001)
Primes: RFBsize:100021, AFBsize:100108, largePrimes:2772356 encountered
Relations: rels:2756638, finalFF:246870
Max relations in full relation-set: 28
Initial matrix: 200193 x 246870 with sparse part having weight 25827334.
Pruned matrix : 187239 x 188303 with weight 17819215.
Total sieving time: 16.37 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.10 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,145,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 17.72 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

8×10153+9

c151

name 名前Robert Backstrom
date 日付January 20, 2008 13:09:19 UTC 2008 年 1 月 20 日 (日) 22 時 9 分 19 秒 (日本時間)
composite number 合成数
2790373212417160795256365538890826648064178583885594698290896407394489012905476107429368678060690617370073247296825950470875479595395884199511684687827<151>
prime factors 素因数
48895464172194500888865555728935598425504411122071941<53>
57068140361452359856128021667726448531461834024720351768797284045710734038067945628429182751862647<98>
factorization results 素因数分解の結果
Number: n
N=2790373212417160795256365538890826648064178583885594698290896407394489012905476107429368678060690617370073247296825950470875479595395884199511684687827
  ( 151 digits)
SNFS difficulty: 153 digits.
Divisors found:

Mon Jan 21 00:02:56 2008  prp53 factor: 48895464172194500888865555728935598425504411122071941
Mon Jan 21 00:02:56 2008  prp98 factor: 57068140361452359856128021667726448531461834024720351768797284045710734038067945628429182751862647
Mon Jan 21 00:02:56 2008  elapsed time 00:50:57 (Msieve 1.33)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 21.84 hours.
Scaled time: 38.38 units (timescale=1.757).
Factorization parameters were as follows:
name: KA_8_0_152_9
n: 2790373212417160795256365538890826648064178583885594698290896407394489012905476107429368678060690617370073247296825950470875479595395884199511684687827
type: snfs
skew: 0.51
deg: 5
c5: 250
c0: 9
m: 2000000000000000000000000000000
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
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, 1199990)
Primes: RFBsize:216816, AFBsize:216231, largePrimes:6128293 encountered
Relations: rels:5616787, finalFF:504996
Max relations in full relation-set: 28
Initial matrix: 433114 x 504996 with sparse part having weight 23765859.
Pruned matrix : 
Total sieving time: 21.68 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,153,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.3,2.3,100000
total time: 21.84 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

8×10157+9

c126

name 名前Jo Yeong Uk
date 日付January 19, 2008 00:44:26 UTC 2008 年 1 月 19 日 (土) 9 時 44 分 26 秒 (日本時間)
composite number 合成数
917472706107830464548023335426499676786648020601531299604889262480796085192109512368398576216119494573875335431375851279405027<126>
prime factors 素因数
3790480017172792738294451504361484879367<40>
242046575091074164088712317063624793945838546238186463919115736744802008317537350438981<87>
factorization results 素因数分解の結果
Number: 80009_157
N=917472706107830464548023335426499676786648020601531299604889262480796085192109512368398576216119494573875335431375851279405027
  ( 126 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=3790480017172792738294451504361484879367 (pp40)
 r2=242046575091074164088712317063624793945838546238186463919115736744802008317537350438981 (pp87)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 22.81 hours.
Scaled time: 49.09 units (timescale=2.152).
Factorization parameters were as follows:
n: 917472706107830464548023335426499676786648020601531299604889262480796085192109512368398576216119494573875335431375851279405027
m: 20000000000000000000000000000000
c5: 25
c0: 9
skew: 0.82
type: snfs
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1500000, 2900001)
Primes: RFBsize:216816, AFBsize:216596, largePrimes:5641343 encountered
Relations: rels:5610183, finalFF:554682
Max relations in full relation-set: 28
Initial matrix: 433476 x 554682 with sparse part having weight 45050664.
Pruned matrix : 370085 x 372316 with weight 28747141.
Total sieving time: 21.92 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.77 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 22.81 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 8178280k/8912896k available (2434k kernel code, 208060k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 4812.90 BogoMIPS (lpj=2406451)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405121)
execution environment 実行環境
Core 2 Quad Q6600

8×10158+9

c141

name 名前Jo Yeong Uk
date 日付January 17, 2008 00:24:41 UTC 2008 年 1 月 17 日 (木) 9 時 24 分 41 秒 (日本時間)
composite number 合成数
139468015243812529058102628158086885040942727393208929721371536330482124785408351968159170970067082361211122836943415704244679643542405642777<141>
prime factors 素因数
167167903992258454388890478299<30>
composite cofactor 合成数の残り
834299000663855262700697358741077630803654699409180671446600595711970677159208132513234866970546095185263588123<111>
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 139468015243812529058102628158086885040942727393208929721371536330482124785408351968159170970067082361211122836943415704244679643542405642777 (141 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1484630729
Step 1 took 7197ms
Step 2 took 4386ms
********** Factor found in step 2: 167167903992258454388890478299
Found probable prime factor of 30 digits: 167167903992258454388890478299
Composite cofactor 834299000663855262700697358741077630803654699409180671446600595711970677159208132513234866970546095185263588123 has 111 digits
execution environment 実行環境
Core 2 Quad Q6600

c111

name 名前Robert Backstrom
date 日付January 20, 2008 02:53:55 UTC 2008 年 1 月 20 日 (日) 11 時 53 分 55 秒 (日本時間)
composite number 合成数
834299000663855262700697358741077630803654699409180671446600595711970677159208132513234866970546095185263588123<111>
prime factors 素因数
2033479913775371639587434065835085127837961461819<49>
410281407262533748598335324491991573466072616789247908444678817<63>
factorization results 素因数分解の結果
Number: n
N=834299000663855262700697358741077630803654699409180671446600595711970677159208132513234866970546095185263588123
  ( 111 digits)
Divisors found:

Sun Jan 20 13:47:42 2008  prp49 factor: 2033479913775371639587434065835085127837961461819
Sun Jan 20 13:47:42 2008  prp63 factor: 410281407262533748598335324491991573466072616789247908444678817
Sun Jan 20 13:47:42 2008  elapsed time 00:38:14 (Msieve 1.33)

Version: GGNFS-0.77.1-20050930-k8
Total time: 17.62 hours.
Scaled time: 14.80 units (timescale=0.840).
Factorization parameters were as follows:
name: n
n: 834299000663855262700697358741077630803654699409180671446600595711970677159208132513234866970546095185263588123
skew: 58678.97
# norm 7.16e+15
c5: 1080
c4: 182319978
c3: 218777671087271
c2: 720093217709119301
c1: -192584130922452106377951
c0: 1924021866441673318910186961
# alpha -6.76
Y1: 160325997587
Y0: -3780758800577929514024
# Murphy_E 8.64e-10
# M 33078737459182277151461009133502300498047025913472764694038857216187874729045379963943227488355847412005621263
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 1099990)
Primes: RFBsize:230209, AFBsize:230298, largePrimes:8164286 encountered
Relations: rels:9063518, finalFF:1450544
Max relations in full relation-set: 28
Initial matrix: 460588 x 1450544 with sparse part having weight 132062689.
Pruned matrix : 
Total sieving time: 17.36 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,110,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 17.62 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6045.69 BogoMIPS (lpj=3022848)
Total of 2 processors activated (12009.47 BogoMIPS).

8×10161+9

c139

name 名前Jo Yeong Uk
date 日付January 17, 2008 01:18:18 UTC 2008 年 1 月 17 日 (木) 10 時 18 分 18 秒 (日本時間)
composite number 合成数
1483355891042680833297415745494798471508481793207785184782484869779118182494016990815169334520856599670454867909090314539925479420536085667<139>
prime factors 素因数
104070924106063664505185233829029<33>
composite cofactor 合成数の残り
14253317185219973460389890832990183114112816437488046262223139768008252805218662703888332623114842777242023<107>
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 1483355891042680833297415745494798471508481793207785184782484869779118182494016990815169334520856599670454867909090314539925479420536085667 (139 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=897222511
Step 1 took 7243ms
Step 2 took 4348ms
********** Factor found in step 2: 104070924106063664505185233829029
Found probable prime factor of 33 digits: 104070924106063664505185233829029
Composite cofactor 14253317185219973460389890832990183114112816437488046262223139768008252805218662703888332623114842777242023 has 107 digits
execution environment 実行環境
Core 2 Quad Q6600

c107

name 名前Jo Yeong Uk
date 日付January 19, 2008 00:43:42 UTC 2008 年 1 月 19 日 (土) 9 時 43 分 42 秒 (日本時間)
composite number 合成数
14253317185219973460389890832990183114112816437488046262223139768008252805218662703888332623114842777242023<107>
prime factors 素因数
379610134970967214429953242481364208742167<42>
37547251435502570973405299828344898136743364461002377728913347569<65>
factorization results 素因数分解の結果
Number: 80009_161
N=14253317185219973460389890832990183114112816437488046262223139768008252805218662703888332623114842777242023
  ( 107 digits)
Divisors found:
 r1=379610134970967214429953242481364208742167 (pp42)
 r2=37547251435502570973405299828344898136743364461002377728913347569 (pp65)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 10.59 hours.
Scaled time: 22.76 units (timescale=2.150).
Factorization parameters were as follows:
name: 80009_161
n: 14253317185219973460389890832990183114112816437488046262223139768008252805218662703888332623114842777242023
skew: 17252.92
# norm 1.36e+15
c5: 25740
c4: 1525971078
c3: -78399570652366
c2: -924627151537472927
c1: 5307909918257896333150
c0: -6383666319595918601313427
# alpha -6.14
Y1: 1794392251
Y0: -223183169083949077020
# Murphy_E 1.50e-09
# M 3259513081427069279902873066038332939958046926443042510831308470696793387168947203008701013843850761293813
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 60000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [900000, 1440001)
Primes: RFBsize:135072, AFBsize:134778, largePrimes:4529531 encountered
Relations: rels:4544044, finalFF:350991
Max relations in full relation-set: 28
Initial matrix: 269934 x 350991 with sparse part having weight 32490968.
Pruned matrix : 221679 x 223092 with weight 18081436.
Polynomial selection time: 0.55 hours.
Total sieving time: 9.69 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.20 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,49,49,2.6,2.6,60000
total time: 10.59 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 8178280k/8912896k available (2434k kernel code, 208060k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 4812.90 BogoMIPS (lpj=2406451)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405121)
execution environment 実行環境
Core 2 Quad Q6600

8×10162+9

c143

name 名前Robert Backstrom
date 日付January 20, 2008 07:05:54 UTC 2008 年 1 月 20 日 (日) 16 時 5 分 54 秒 (日本時間)
composite number 合成数
57812204139742489271285991377047918106956344241296136018020163264497892626415364960802382490255087006871059445557673759660623134031508745408499<143>
prime factors 素因数
21467718354271832026587974954408013867919721<44>
2692983165965493372324419233124120624401536996288557907855362716504013533241417008457888322335917819<100>
factorization results 素因数分解の結果
Number: n
N=57812204139742489271285991377047918106956344241296136018020163264497892626415364960802382490255087006871059445557673759660623134031508745408499
  ( 143 digits)
SNFS difficulty: 162 digits.
Divisors found:

Sun Jan 20 17:58:22 2008  prp44 factor: 21467718354271832026587974954408013867919721
Sun Jan 20 17:58:22 2008  prp100 factor: 2692983165965493372324419233124120624401536996288557907855362716504013533241417008457888322335917819
Sun Jan 20 17:58:22 2008  elapsed time 01:03:41 (Msieve 1.33)

Version: GGNFS-0.77.1-20050930-k8
Total time: 39.20 hours.
Scaled time: 32.89 units (timescale=0.839).
Factorization parameters were as follows:
name: KA_8_0_161_9
n: 57812204139742489271285991377047918106956344241296136018020163264497892626415364960802382490255087006871059445557673759660623134031508745408499
type: snfs
deg: 5
c5: 25
c0: 9
skew: 0.82
m: 200000000000000000000000000000000
rlim: 3000000
alim: 3000000
lbpr: 28
lbpa: 28
mbpr: 48
mbpa: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved  special-q in [100000, 3700187)
Primes: RFBsize:216816, AFBsize:216596, largePrimes:5557225 encountered
Relations: rels:5370833, finalFF:450084
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 39.08 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.5,2.5,100000
total time: 39.20 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6045.69 BogoMIPS (lpj=3022848)
Total of 2 processors activated (12009.47 BogoMIPS).

8×10163+9

c134

name 名前Robert Backstrom
date 日付April 9, 2008 21:31:59 UTC 2008 年 4 月 10 日 (木) 6 時 31 分 59 秒 (日本時間)
composite number 合成数
12519693833005982629763709812980179231976207191212881316914731579887782131176373995769271932131678712789550263792631222521491477786087<134>
prime factors 素因数
36035228405537339175432279337085862878520760605668457943<56>
347429290363042316932943294898674175631435388823749992448700892981477531332209<78>
factorization results 素因数分解の結果
Number: n
N=12519693833005982629763709812980179231976207191212881316914731579887782131176373995769271932131678712789550263792631222521491477786087
  ( 134 digits)
SNFS difficulty: 163 digits.
Divisors found:

Thu Apr 10 07:25:28 2008  prp56 factor: 36035228405537339175432279337085862878520760605668457943
Thu Apr 10 07:25:28 2008  prp78 factor: 347429290363042316932943294898674175631435388823749992448700892981477531332209
Thu Apr 10 07:25:28 2008  elapsed time 01:12:32 (Msieve 1.34)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 51.50 hours.
Scaled time: 90.43 units (timescale=1.756).
Factorization parameters were as follows:
name: KA_8_0_162_9
n: 12519693833005982629763709812980179231976207191212881316914731579887782131176373995769271932131678712789550263792631222521491477786087
type: snfs
skew: 0.51
deg: 5
c5: 250
c0: 9
m: 200000000000000000000000000000000
rlim: 3200000
alim: 3200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
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, 2599990)
Primes: RFBsize:230209, AFBsize:229672, largePrimes:7298720 encountered
Relations: rels:6770473, finalFF:539596
Max relations in full relation-set: 28
Initial matrix: 459948 x 539596 with sparse part having weight 38448691.
Pruned matrix : 
Total sieving time: 51.26 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,163,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.3,2.3,100000
total time: 51.50 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

8×10165+9

c163

name 名前Robert Backstrom
date 日付January 20, 2008 04:13:54 UTC 2008 年 1 月 20 日 (日) 13 時 13 分 54 秒 (日本時間)
composite number 合成数
2589834898025250890255746196179993525412754936872774360634509550016186468112657818064098413726124959533829718355454839753965684687601165425704111362900615085788281<163>
prime factors 素因数
314438682222884322729688296198134025767975025422514323112159291576842309<72>
8236374989606056257892776904055137083699957579463131990199160763315628777145426750588217509<91>
factorization results 素因数分解の結果
Number: n
N=2589834898025250890255746196179993525412754936872774360634509550016186468112657818064098413726124959533829718355454839753965684687601165425704111362900615085788281
  ( 163 digits)
SNFS difficulty: 165 digits.
Divisors found:

Sun Jan 20 15:06:59 2008  prp72 factor: 314438682222884322729688296198134025767975025422514323112159291576842309
Sun Jan 20 15:06:59 2008  prp91 factor: 8236374989606056257892776904055137083699957579463131990199160763315628777145426750588217509
Sun Jan 20 15:06:59 2008  elapsed time 00:53:55 (Msieve 1.33)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 32.69 hours.
Scaled time: 59.79 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_8_0_164_9
n: 2589834898025250890255746196179993525412754936872774360634509550016186468112657818064098413726124959533829718355454839753965684687601165425704111362900615085788281
skew: 1.02
deg: 5
c5: 8
c0: 9
m: 1000000000000000000000000000000000
type: snfs
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2399990)
Primes: RFBsize:250150, AFBsize:250351, largePrimes:7431294 encountered
Relations: rels:6960850, finalFF:588566
Max relations in full relation-set: 28
Initial matrix: 500566 x 588566 with sparse part having weight 45969560.
Pruned matrix : 
Total sieving time: 32.52 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 32.69 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

8×10166+9

c164

name 名前Robert Backstrom
date 日付January 25, 2008 06:49:46 UTC 2008 年 1 月 25 日 (金) 15 時 49 分 46 秒 (日本時間)
composite number 合成数
18070928393946238988028009939010616670431443415405466455839168737293878473006550711542805511633160153602891348543031398238084481590241698667269030946464874632934267<164>
prime factors 素因数
247318002448511232349795071846013961161<39>
73067581878550869883137762289663789192178328142338528983715149951558468070091483340423029109213779504121706037391601196627747<125>
factorization results 素因数分解の結果
Number: n
N=18070928393946238988028009939010616670431443415405466455839168737293878473006550711542805511633160153602891348543031398238084481590241698667269030946464874632934267
  ( 164 digits)
SNFS difficulty: 166 digits.
Divisors found:

Fri Jan 25 17:43:51 2008  prp39 factor: 247318002448511232349795071846013961161
Fri Jan 25 17:43:51 2008  prp125 factor: 73067581878550869883137762289663789192178328142338528983715149951558468070091483340423029109213779504121706037391601196627747
Fri Jan 25 17:43:51 2008  elapsed time 01:14:29 (Msieve 1.33)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 38.49 hours.
Scaled time: 70.60 units (timescale=1.834).
Factorization parameters were as follows:
name: KA_8_0_165_9
n: 18070928393946238988028009939010616670431443415405466455839168737293878473006550711542805511633160153602891348543031398238084481590241698667269030946464874632934267
skew: 0.65
deg: 5
c5: 80
c0: 9
m: 1000000000000000000000000000000000
type: snfs
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2800001)
Primes: RFBsize:250150, AFBsize:249916, largePrimes:7433182 encountered
Relations: rels:6924228, finalFF:559097
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 38.31 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,166,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 38.49 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

8×10167+9

c140

name 名前Robert Backstrom
date 日付April 16, 2008 04:42:37 UTC 2008 年 4 月 16 日 (水) 13 時 42 分 37 秒 (日本時間)
composite number 合成数
31542995718296592540943009595682034381643787024856883735390514796859603287791366210699475183903028586229948348858712936952428317205319448429<140>
prime factors 素因数
32070636141063417698309974804038142769<38>
983547553579979304561951273616176372155814093748174239324385537878449421978287184323475247763731622141<102>
factorization results 素因数分解の結果
GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 31542995718296592540943009595682034381643787024856883735390514796859603287791366210699475183903028586229948348858712936952428317205319448429 (140 digits)
Using B1=4262000, B2=6624266391, polynomial Dickson(6), sigma=1855270650
Step 1 took 43425ms
Step 2 took 20887ms
********** Factor found in step 2: 32070636141063417698309974804038142769
Found probable prime factor of 38 digits: 32070636141063417698309974804038142769
Probable prime cofactor 983547553579979304561951273616176372155814093748174239324385537878449421978287184323475247763731622141 has 102 digits

8×10169+9

c163

name 名前Robert Backstrom
date 日付June 19, 2008 17:54:51 UTC 2008 年 6 月 20 日 (金) 2 時 54 分 51 秒 (日本時間)
composite number 合成数
1812722187341167299280274516835328759034635705492555025351939446196604087040484272357792567526337323897721591748633620997993747060132821326930315175061039454328929<163>
prime factors 素因数
347913094655913140947256232930961<33>
5210272953749998271101503426402444733270293388626467088714412188109283843702487962421130258535164821785639637952029491481694049489<130>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 1812722187341167299280274516835328759034635705492555025351939446196604087040484272357792567526337323897721591748633620997993747060132821326930315175061039454328929 (163 digits)
Using B1=792000, B2=696806892, polynomial Dickson(3), sigma=246426398
Step 1 took 10336ms
********** Factor found in step 1: 347913094655913140947256232930961
Found probable prime factor of 33 digits: 347913094655913140947256232930961
Probable prime cofactor 5210272953749998271101503426402444733270293388626467088714412188109283843702487962421130258535164821785639637952029491481694049489 has 130 digits

8×10170+9

c139

name 名前Wataru Sakai
date 日付June 11, 2009 13:08:36 UTC 2009 年 6 月 11 日 (木) 22 時 8 分 36 秒 (日本時間)
composite number 合成数
1380247231280688513519537236207908295619969438829829240186899926792486920831167751357193427318708350016115652627084598605877702542314467211<139>
prime factors 素因数
3739349584888004768232061820906349177229967138340283<52>
369114253681640613419529242815258516418059888685901830643751071825955380199942725832817<87>
factorization results 素因数分解の結果
Number: 80009_170
N=1380247231280688513519537236207908295619969438829829240186899926792486920831167751357193427318708350016115652627084598605877702542314467211
  ( 139 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=3739349584888004768232061820906349177229967138340283
 r2=369114253681640613419529242815258516418059888685901830643751071825955380199942725832817
Version: 
Total time: 70.90 hours.
Scaled time: 129.39 units (timescale=1.825).
Factorization parameters were as follows:
n: 1380247231280688513519537236207908295619969438829829240186899926792486920831167751357193427318708350016115652627084598605877702542314467211
m: 10000000000000000000000000000000000
deg: 5
c5: 8
c0: 9
skew: 1.02
type: snfs
lss: 1
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2450000, 4650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 617808 x 618056
Total sieving time: 70.90 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,170,5,0,0,0,0,0,0,0,0,4900000,4900000,27,27,52,52,2.4,2.4,100000
total time: 70.90 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 KamadaJanuary 16, 2008 09:00:00 UTC 2008 年 1 月 16 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkNovember 18, 2008 15:28:07 UTC 2008 年 11 月 19 日 (水) 0 時 28 分 7 秒 (日本時間)
403e62111Jo Yeong UkFebruary 1, 2009 05:37:41 UTC 2009 年 2 月 1 日 (日) 14 時 37 分 41 秒 (日本時間)

8×10171+9

c96

name 名前Robert Backstrom
date 日付January 17, 2008 09:35:49 UTC 2008 年 1 月 17 日 (木) 18 時 35 分 49 秒 (日本時間)
composite number 合成数
302977137965699242280736032700812694716266941721901019359481957770507344407132716999451859601807<96>
prime factors 素因数
66045585799722886585090670007395970328026662921<47>
4587394211090038825215575348339222477208606014167<49>
factorization results 素因数分解の結果
Number: n
N=302977137965699242280736032700812694716266941721901019359481957770507344407132716999451859601807
  ( 96 digits)
Divisors found:
 r1=66045585799722886585090670007395970328026662921 (pp47)
 r2=4587394211090038825215575348339222477208606014167 (pp49)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 4.94 hours.
Scaled time: 9.03 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_8_0_170_9
n:  302977137965699242280736032700812694716266941721901019359481957770507344407132716999451859601807
m:  10512455641630070932636
deg: 4
c4: 24808080
c3: 107490494716
c2: 237883365092106694
c1: -567116283863032245
c0: -93029552726751959402373
skew: 1635.250
type: gnfs
# adj. I(F,S) = 54.436
# E(F1,F2) = 3.324346e-05
# GGNFS version 0.77.1-20051202-athlon polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=60.00000000, seed=1200539918.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 1200000
alim: 1200000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.4
alambda: 2.4
qintsize: 60000

type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [100000, 1060001)
Primes: RFBsize:92938, AFBsize:93341, largePrimes:1857869 encountered
Relations: rels:1936762, finalFF:252332
Max relations in full relation-set: 48
Initial matrix: 186357 x 252332 with sparse part having weight 18488619.
Pruned matrix : 154570 x 155565 with weight 8634865.
Total sieving time: 4.69 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.11 hours.
Total square root time: 0.06 hours, sqrts: 3.
Prototype def-par.txt line would be:
gnfs,95,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 4.94 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

8×10172+9

c147

name 名前Jo Yeong Uk
date 日付November 18, 2008 22:30:16 UTC 2008 年 11 月 19 日 (水) 7 時 30 分 16 秒 (日本時間)
composite number 合成数
350331928621527728761081949351918869573565424827174645006780581369818827638825443432238620811811976063345620759127952586071954864671857213232146849<147>
prime factors 素因数
122454245483536330061045540807347553945459<42>
608296663654957875693373827303732266946233<42>
4703167420425903988646488862192041281322859917358747628829697267<64>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 350331928621527728761081949351918869573565424827174645006780581369818827638825443432238620811811976063345620759127952586071954864671857213232146849 (147 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2462122556
Step 1 took 13971ms
Step 2 took 6377ms
********** Factor found in step 2: 122454245483536330061045540807347553945459
Found probable prime factor of 42 digits: 122454245483536330061045540807347553945459
Composite cofactor 2860921050455771977764483927646944768955414366666151492991326927020143373266369210679921533070327956045211 has 106 digits

Number: 80009_172
N=2860921050455771977764483927646944768955414366666151492991326927020143373266369210679921533070327956045211
  ( 106 digits)
Divisors found:
 r1=608296663654957875693373827303732266946233 (pp42)
 r2=4703167420425903988646488862192041281322859917358747628829697267 (pp64)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 7.72 hours.
Scaled time: 18.45 units (timescale=2.390).
Factorization parameters were as follows:
name: 80009_172
n: 2860921050455771977764483927646944768955414366666151492991326927020143373266369210679921533070327956045211
skew: 11678.31
# norm 1.72e+15
c5: 120600
c4: 6819803985
c3: 37057788054551
c2: -1151675053026808358
c1: 2909342933569088464627
c0: 324963623916431255748839
# alpha -6.59
Y1: 10640649107
Y0: -118858781408249484738
# Murphy_E 1.72e-09
# M 541327409357061061008302996406796774326480382613132409656102290302813857792902919658625814147961415995838
type: gnfs
rlim: 1600000
alim: 1600000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 1600000/1600000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [800000, 1250001)
Primes: RFBsize:121127, AFBsize:121169, largePrimes:4551667 encountered
Relations: rels:4587757, finalFF:357886
Max relations in full relation-set: 28
Initial matrix: 242379 x 357886 with sparse part having weight 34663704.
Pruned matrix : 188093 x 189368 with weight 15680682.
Polynomial selection time: 0.49 hours.
Total sieving time: 6.98 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
gnfs,105,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1600000,1600000,26,26,49,49,2.6,2.6,50000
total time: 7.72 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047068k/8912896k available (2460k kernel code, 339224k reserved, 1251k data, 196k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673803)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672384)
Calibrating delay using timer specific routine.. 5497.76 BogoMIPS (lpj=2748880)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 16, 2008 09:00:00 UTC 2008 年 1 月 16 日 (水) 18 時 0 分 0 秒 (日本時間)

8×10173+9

c151

name 名前Wataru Sakai
date 日付October 8, 2009 14:09:41 UTC 2009 年 10 月 8 日 (木) 23 時 9 分 41 秒 (日本時間)
composite number 合成数
2327262068830754550218468227408715341596597253444007699138876048165527205915900775607263778983095431120139789820533451020131945533106053158603012224981<151>
prime factors 素因数
8189545458237210393744457523666003154315736867<46>
4183880356288717606362756534826033091154894241628947<52>
67921338602004285032869683860445350931844687971789469<53>
factorization results 素因数分解の結果
Number: 80009_173
N=2327262068830754550218468227408715341596597253444007699138876048165527205915900775607263778983095431120139789820533451020131945533106053158603012224981
  ( 151 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=8189545458237210393744457523666003154315736867
 r2=4183880356288717606362756534826033091154894241628947
 r3=67921338602004285032869683860445350931844687971789469
Version: 
Total time: 100.92 hours.
Scaled time: 203.36 units (timescale=2.015).
Factorization parameters were as follows:
n: 2327262068830754550218468227408715341596597253444007699138876048165527205915900775607263778983095431120139789820533451020131945533106053158603012224981
m: 40000000000000000000000000000000000
deg: 5
c5: 125
c0: 144
skew: 1.03
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [2900000, 5800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 853065 x 853313
Total sieving time: 100.92 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,175,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,52,52,2.5,2.5,100000
total time: 100.92 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 16, 2008 09:00:00 UTC 2008 年 1 月 16 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkNovember 18, 2008 15:28:26 UTC 2008 年 11 月 19 日 (水) 0 時 28 分 26 秒 (日本時間)
403e62111Jo Yeong UkFebruary 1, 2009 05:37:56 UTC 2009 年 2 月 1 日 (日) 14 時 37 分 56 秒 (日本時間)

8×10175+9

c115

name 名前Jo Yeong Uk
date 日付January 16, 2008 13:30:54 UTC 2008 年 1 月 16 日 (水) 22 時 30 分 54 秒 (日本時間)
composite number 合成数
8732982651005806627928771645880231243387634088273381903883609667279610166353356502255938360752308871484788092181029<115>
prime factors 素因数
266890443093272218468549330943<30>
32721226544458263861906681169586495852149103259513363783751003948859549712960564477403<86>
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 8732982651005806627928771645880231243387634088273381903883609667279610166353356502255938360752308871484788092181029 (115 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2573028571
Step 1 took 5436ms
Step 2 took 3838ms
********** Factor found in step 2: 266890443093272218468549330943
Found probable prime factor of 30 digits: 266890443093272218468549330943
Probable prime cofactor 32721226544458263861906681169586495852149103259513363783751003948859549712960564477403 has 86 digits
execution environment 実行環境
Core 2 Quad Q6600

8×10176+9

c173

name 名前matsui
date 日付February 23, 2008 15:58:23 UTC 2008 年 2 月 24 日 (日) 0 時 58 分 23 秒 (日本時間)
composite number 合成数
14628170198760262575655067746713233008466053502532501965660370458410283603649728464590685512625939402804951635612280348881859240432262429373365759110607251915376035400171881<173>
prime factors 素因数
103961611179868503438377681867481435196874462689578948106251372965474787726477889<81>
140707421063833161706485449146184930821888979205845979668829757316153913675077037413502917929<93>
factorization results 素因数分解の結果
N=14628170198760262575655067746713233008466053502532501965660370458410283603649728464590685512625939402804951635612280348881859240432262429373365759110607251915376035400171881
  ( 173 digits)


SNFS difficulty: 177 digits.

Divisors found:

 r1=103961611179868503438377681867481435196874462689578948106251372965474787726477889 (pp81)

 r2=140707421063833161706485449146184930821888979205845979668829757316153913675077037413502917929 (pp93)

Version: GGNFS-0.77.1-20060513-pentium4

Total time: 228.46 hours.
Scaled time: 435.44 units (timescale=1.906).

Factorization parameters were as follows:

n: 14628170198760262575655067746713233008466053502532501965660370458410283603649728464590685512625939402804951635612280348881859240432262429373365759110607251915376035400171881
m: 200000000000000000000000000000000000
c5: 5
c0: 18
skew: 1.29
type: snfs


Factor base limits: 7400000/7400000

Large primes per side: 3

Large prime bits: 27/27

Max factor residue bits: 48/48

Sieved algebraic special-q in [3700000, 12000001)

Primes: RFBsize:501962, AFBsize:501791, largePrimes:6541923 encountered

Relations: rels:7040504, finalFF:1165775

Max relations in full relation-set: 28

Initial matrix: 1003819 x 1165775 with sparse part having weight 75529051.

Pruned matrix : 866295 x 871378 with weight 56505835.

Total sieving time: 204.60 hours.

Total relation processing time: 0.16 hours.

Matrix solve time: 23.41 hours.

Time per square root: 0.29 hours.

Prototype def-par.txt line would be:

snfs,177,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000

total time: 228.46 hours.

8×10178+9

c167

name 名前centylion torun
date 日付December 11, 2010 02:20:57 UTC 2010 年 12 月 11 日 (土) 11 時 20 分 57 秒 (日本時間)
composite number 合成数
20504896215355928137965373704973143395538922435527758817785496493959608475116921355207651357092841575421079161851043173594993003469841120923142091661496820268074980697<167>
prime factors 素因数
643080328444181532267745772077361920255259647015699<51>
31885435315622042511691137957740545112655694428559568324606418192336033358782251093798798406485062920172031044546403<116>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.1_MPIR_1.1.1] [ECM]
Input number is 20504896215355928137965373704973143395538922435527758817785496493959608475116921355207651357092841575421079161851043173594993003469841120923142091661496820268074980697 (167 digits)
[Sat Dec 11 01:11:50 2010]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=82896577
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
20      25      30      35      40      45      50      55      60      65
2       4       10      34      135     613     3133    17769   111196  751771
Step 1 took 379815ms
Using 21 small primes for NTT
Estimated memory usage: 478M
Initializing tables of differences for F took 265ms
Computing roots of F took 21419ms
Building F from its roots took 13541ms
Computing 1/F took 6146ms
Initializing table of differences for G took 234ms
Computing roots of G took 17784ms
Building G from its roots took 12527ms
Computing roots of G took 17457ms
Building G from its roots took 12558ms
Computing G * H took 3478ms
Reducing  G * H mod F took 3448ms
Computing roots of G took 17581ms
Building G from its roots took 12558ms
Computing G * H took 3448ms
Reducing  G * H mod F took 3478ms
Computing roots of G took 17488ms
Building G from its roots took 12465ms
Computing G * H took 3463ms
Reducing  G * H mod F took 3479ms
Computing polyeval(F,G) took 23384ms
Computing product of all F(g_i) took 109ms
Step 2 took 207216ms
********** Factor found in step 2: 643080328444181532267745772077361920255259647015699
Found probable prime factor of 51 digits: 643080328444181532267745772077361920255259647015699
Probable prime cofactor 31885435315622042511691137957740545112655694428559568324606418192336033358782251093798798406485062920172031044546403 has 116 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 16, 2008 09:00:00 UTC 2008 年 1 月 16 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkNovember 18, 2008 15:28:39 UTC 2008 年 11 月 19 日 (水) 0 時 28 分 39 秒 (日本時間)
403e62111Jo Yeong UkFebruary 27, 2009 10:01:42 UTC 2009 年 2 月 27 日 (金) 19 時 1 分 42 秒 (日本時間)
4511e60--
5043e61145 / 6191yoyo@homeFebruary 26, 2010 00:45:07 UTC 2010 年 2 月 26 日 (金) 9 時 45 分 7 秒 (日本時間)
5511e7530 / 17343yoyo@homeDecember 10, 2010 06:30:35 UTC 2010 年 12 月 10 日 (金) 15 時 30 分 35 秒 (日本時間)

8×10179+9

c157

name 名前G.L.I.S.
date 日付December 11, 2010 18:23:01 UTC 2010 年 12 月 12 日 (日) 3 時 23 分 1 秒 (日本時間)
composite number 合成数
1415493573554482587871785831847594919119247908687541708933328969812940358294294326735636448567265214269702647086321705872950802915434596491130909251193416569<157>
prime factors 素因数
413369852432898383586010724769000432120059903<45>
3424278682210520474518825384650397525932147218696471465227722326587804054510388061024712800327342516298551999623<112>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.1_MPIR_1.1.1] [ECM]
Input number is 1415493573554482587871785831847594919119247908687541708933328969812940358294294326735636448567265214269702647086321705872950802915434596491130909251193416569 (157 digits)
[Sat Dec 11 13:08:20 2010]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1275872707
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
20      25      30      35      40      45      50      55      60      65
2       4       10      34      135     613     3133    17769   111196  751771
Step 1 took 312187ms
Using 20 small primes for NTT
Estimated memory usage: 471M
Initializing tables of differences for F took 203ms
Computing roots of F took 17000ms
Building F from its roots took 10813ms
Computing 1/F took 4922ms
Initializing table of differences for G took 157ms
Computing roots of G took 14500ms
Building G from its roots took 9765ms
Computing roots of G took 14516ms
Building G from its roots took 9766ms
Computing G * H took 2813ms
Reducing  G * H mod F took 2734ms
Computing roots of G took 15047ms
Building G from its roots took 9906ms
Computing G * H took 2812ms
Reducing  G * H mod F took 2704ms
Computing roots of G took 14531ms
Building G from its roots took 9828ms
Computing G * H took 2750ms
Reducing  G * H mod F took 2657ms
Computing polyeval(F,G) took 18532ms
Computing product of all F(g_i) took 78ms
Step 2 took 166688ms
********** Factor found in step 2: 413369852432898383586010724769000432120059903
Found probable prime factor of 45 digits: 413369852432898383586010724769000432120059903
Probable prime cofactor 3424278682210520474518825384650397525932147218696471465227722326587804054510388061024712800327342516298551999623 has 112 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 16, 2008 09:00:00 UTC 2008 年 1 月 16 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkNovember 18, 2008 15:28:51 UTC 2008 年 11 月 19 日 (水) 0 時 28 分 51 秒 (日本時間)
403e62111Jo Yeong UkFebruary 27, 2009 10:01:53 UTC 2009 年 2 月 27 日 (金) 19 時 1 分 53 秒 (日本時間)
4511e60--
5043e61145 / 3298yoyo@homeFebruary 26, 2010 01:44:33 UTC 2010 年 2 月 26 日 (金) 10 時 44 分 33 秒 (日本時間)
5511e71730 / 17343yoyo@homeDecember 10, 2010 19:40:34 UTC 2010 年 12 月 11 日 (土) 4 時 40 分 34 秒 (日本時間)

8×10185+9

c163

name 名前Jo Yeong Uk
date 日付November 18, 2008 11:59:07 UTC 2008 年 11 月 18 日 (火) 20 時 59 分 7 秒 (日本時間)
composite number 合成数
3450673967588001826514728936156930978629571495727208135592960907082200888074468826445788854167633653862786053882083856937104121316034686491932860587742803253759187<163>
prime factors 素因数
1303028394848660857467715486468010946754987<43>
composite cofactor 合成数の残り
2648195527610722149244619035624215921962390457850886740531905304699190651782516458062408766925167070534368118892625076601<121>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 3450673967588001826514728936156930978629571495727208135592960907082200888074468826445788854167633653862786053882083856937104121316034686491932860587742803253759187 (163 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=927156312
Step 1 took 16545ms
Step 2 took 6975ms
********** Factor found in step 2: 1303028394848660857467715486468010946754987
Found probable prime factor of 43 digits: 1303028394848660857467715486468010946754987
Composite cofactor 2648195527610722149244619035624215921962390457850886740531905304699190651782516458062408766925167070534368118892625076601 has 121 digits
execution environment 実行環境
Core 2 Quad Q6700

c121

name 名前Serge Batalov
date 日付November 27, 2008 20:05:10 UTC 2008 年 11 月 28 日 (金) 5 時 5 分 10 秒 (日本時間)
composite number 合成数
2648195527610722149244619035624215921962390457850886740531905304699190651782516458062408766925167070534368118892625076601<121>
prime factors 素因数
11958203612381011725704592874030579567<38>
221454293090384742218717863326746087344454398748013997486958446978047338608032823703<84>
factorization results 素因数分解の結果
Number: 80009_185
N=2648195527610722149244619035624215921962390457850886740531905304699190651782516458062408766925167070534368118892625076601
  ( 121 digits)
Divisors found:
 r1=11958203612381011725704592874030579567 (pp38)
 r2=221454293090384742218717863326746087344454398748013997486958446978047338608032823703 (pp84)
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.315).
Factorization parameters were as follows:
name: 80009_185
n: 2648195527610722149244619035624215921962390457850886740531905304699190651782516458062408766925167070534368118892625076601
skew: 97324.20
# norm 6.02e+16
c5: 31560
c4: -20257094952
c3: -869302950855308
c2: 173746730595733330327
c1: 2705646423516967148423142
c0: -146634980995403207875729446336
# alpha -6.61
Y1: 4019354345677
Y0: -153025594366465211457007
# Murphy_E 2.66e-10
# M 2084414786921268954617093831981252894697800350894014333202808952118001393556414218128011869192530578591410857486809023958
type: gnfs
rlim: 5200000
alim: 5200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [2600000, 4700001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 699597 x 699839
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 1.70 hours.
Time per square root: 0.50 hours.
Prototype def-par.txt line would be:
gnfs,120,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5200000,5200000,27,27,52,52,2.5,2.5,100000
total time: 70.00 hours.
software ソフトウェア
Msieve-1.38+pol51 gnfs
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 16, 2008 09:00:00 UTC 2008 年 1 月 16 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkNovember 18, 2008 15:29:05 UTC 2008 年 11 月 19 日 (水) 0 時 29 分 5 秒 (日本時間)

8×10190+9

c145

name 名前Jo Yeong Uk
date 日付December 10, 2008 22:35:23 UTC 2008 年 12 月 11 日 (木) 7 時 35 分 23 秒 (日本時間)
composite number 合成数
1281241420783814236840813769192768768968282355514739105615102519730239311445959678569274101458614659494795859882596971403016242617149021527396577<145>
prime factors 素因数
538680813586121424240758361537710132899<39>
6350022202664860146059913355300429133521100785097<49>
374562434586295016714727912805051180637746786286264130259<57>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 1281241420783814236840813769192768768968282355514739105615102519730239311445959678569274101458614659494795859882596971403016242617149021527396577 (145 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=329758939
Step 1 took 13980ms
Step 2 took 6087ms
********** Factor found in step 2: 538680813586121424240758361537710132899
Found probable prime factor of 39 digits: 538680813586121424240758361537710132899
Composite cofactor 2378479775907177676028084193338783974397321241121097388182329404628516816089088946894571346712074773950123 has 106 digits

Number: 80009_190
N=2378479775907177676028084193338783974397321241121097388182329404628516816089088946894571346712074773950123
  ( 106 digits)
Divisors found:
 r1=6350022202664860146059913355300429133521100785097 (pp49)
 r2=374562434586295016714727912805051180637746786286264130259 (pp57)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 8.41 hours.
Scaled time: 19.97 units (timescale=2.376).
Factorization parameters were as follows:
name: 80009_190
n: 2378479775907177676028084193338783974397321241121097388182329404628516816089088946894571346712074773950123
skew: 19335.04
# norm 1.36e+15
c5: 65520
c4: 27471564
c3: -107204221150694
c2: 210564676395091900
c1: 9948647454800704699109
c0: 23207652976387495420816781
# alpha -6.59
Y1: 21237383893
Y0: -129415146671552584386
# Murphy_E 1.68e-09
# M 824103466569355914939858143207610722275937838736571265540824437757076304596016719605159834285168869476384
type: gnfs
rlim: 1500000
alim: 1500000
lpbr: 26
lpba: 26
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 50/50
Sieved algebraic special-q in [750000, 1250001)
Primes: RFBsize:114155, AFBsize:113854, largePrimes:5081953 encountered
Relations: rels:5214262, finalFF:385976
Max relations in full relation-set: 28
Initial matrix: 228095 x 385976 with sparse part having weight 41605213.
Pruned matrix : 170451 x 171655 with weight 16999266.
Polynomial selection time: 0.38 hours.
Total sieving time: 7.76 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
gnfs,105,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,26,26,50,50,2.6,2.6,50000
total time: 8.41 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047068k/8912896k available (2460k kernel code, 339224k reserved, 1251k data, 196k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673803)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672384)
Calibrating delay using timer specific routine.. 5497.76 BogoMIPS (lpj=2748880)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 16, 2008 09:00:00 UTC 2008 年 1 月 16 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkNovember 18, 2008 15:29:16 UTC 2008 年 11 月 19 日 (水) 0 時 29 分 16 秒 (日本時間)

8×10191+9

c154

name 名前Edwin Hall
date 日付December 12, 2020 20:36:12 UTC 2020 年 12 月 13 日 (日) 5 時 36 分 12 秒 (日本時間)
composite number 合成数
8068051545891094511578479700823384394584768631450390852593942134609561393701118548374424516117929869950068836225453848430310390267238081742813962168542327<154>
prime factors 素因数
11252349112258612460638218075704721317286256803103939166527236212039342167<74>
717010418482443071479374894616586941248482723527077084421945407566097579414880481<81>
factorization results 素因数分解の結果
Info:Square Root: Factors:
11252349112258612460638218075704721317286256803103939166527236212039342167
717010418482443071479374894616586941248482723527077084421945407566097579414880481

Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 192.89/142.375
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 142.1s
Info:Filtering - Merging: Total cpu/real time for merge: 459.31/37.8713
Info:Filtering - Merging: Total cpu/real time for replay: 95.47/79.6041
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1108.26/316.323
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 255.10000000000002s
Info:Generate Free Relations: Total cpu/real time for freerel: 900.07/41.149
Info:Quadratic Characters: Total cpu/real time for characters: 139.17/26.2553
Info:Square Root: Total cpu/real time for sqrt: 3656.35/236.584
Info:Filtering - Singleton removal: Total cpu/real time for purge: 426.17/155.722
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 52764827
Info:Lattice Sieving: Average J: 3791.15 for 441751 special-q, max bucket fill -bkmult 1.0,1s:1.258940
Info:Lattice Sieving: Total time: 207736s
Info:Linear Algebra: Total cpu/real time for bwc: 84647.7/7777.3
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 52365.07, WCT time 4875.53, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (65000 iterations)
Info:Linear Algebra: Lingen CPU time 2622.54, WCT time 113.37
Info:Linear Algebra: Mksol: CPU time 28356.86,  WCT time 2608.45, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (33000 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 60.59/7.43719
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.24341e+06/14036.2
Info:root: Cleaning up computation data in /tmp/cado.rmxuyfsr
11252349112258612460638218075704721317286256803103939166527236212039342167 717010418482443071479374894616586941248482723527077084421945407566097579414880481
software ソフトウェア
CADO-NFS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 16, 2008 09:00:00 UTC 2008 年 1 月 16 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkNovember 18, 2008 15:29:29 UTC 2008 年 11 月 19 日 (水) 0 時 29 分 29 秒 (日本時間)
403e62111Jo Yeong UkFebruary 27, 2009 10:02:05 UTC 2009 年 2 月 27 日 (金) 19 時 2 分 5 秒 (日本時間)
4511e60--
5043e61145yoyo@homeFebruary 26, 2010 02:30:11 UTC 2010 年 2 月 26 日 (金) 11 時 30 分 11 秒 (日本時間)
5511e72635 / 17343yoyo@homeDecember 11, 2010 01:50:33 UTC 2010 年 12 月 11 日 (土) 10 時 50 分 33 秒 (日本時間)

8×10192+9

c179

name 名前yoyo@home
date 日付February 26, 2010 13:45:44 UTC 2010 年 2 月 26 日 (金) 22 時 45 分 44 秒 (日本時間)
composite number 合成数
31210113901116496190059985531041602975379344293978514166894009734705527928978397661114322922874799360536757139908352850981558850793591256286177115409819215244907441950295241382353<179>
prime factors 素因数
22520567661717783905291022490556943117012307<44>
composite cofactor 合成数の残り
1385849343139333038164505296411820227818026836471709217118622691807166707789127712232186430757575800220188870355273314831516389469074379<136>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.1_MPIR_1.1.1] [ECM]
Input number is 31210113901116496190059985531041602975379344293978514166894009734705527928978397661114322922874799360536757139908352850981558850793591256286177115409819215244907441950295241382353 (179 digits)
[Fri Feb 26 00:43:51 2010]
Using MODMULN
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2172363567
dF=65536, k=5, d=690690, d2=17, i0=46
Expected number of curves to find a factor of n digits:
20   25      30      35      40      45      50      55      60      65
2       5       14      55      246     1277    7553    49797   358989  2841353
Step 1 took 221281ms
********** Factor found in step 1: 22520567661717783905291022490556943117012307
Found probable prime factor of 44 digits: 22520567661717783905291022490556943117012307
Composite cofactor 1385849343139333038164505296411820227818026836471709217118622691807166707789127712232186430757575800220188870355273314831516389469074379 has 136 digits
software ソフトウェア
GMP-ECM

c136

name 名前Robert Backstrom
date 日付May 8, 2012 04:57:23 UTC 2012 年 5 月 8 日 (火) 13 時 57 分 23 秒 (日本時間)
composite number 合成数
1385849343139333038164505296411820227818026836471709217118622691807166707789127712232186430757575800220188870355273314831516389469074379<136>
prime factors 素因数
25508252339288594931188710195437679476734185366631293417875809881801<68>
54329450904984393961191514163271110370936558712594698781930602632179<68>
factorization results 素因数分解の結果
Number: n
N=1385849343139333038164505296411820227818026836471709217118622691807166707789127712232186430757575800220188870355273314831516389469074379
  ( 136 digits)
Divisors found:

Tue May  8 14:51:22 2012  prp68 factor: 25508252339288594931188710195437679476734185366631293417875809881801
Tue May  8 14:51:22 2012  prp68 factor: 54329450904984393961191514163271110370936558712594698781930602632179
Tue May  8 14:51:22 2012  elapsed time 01:26:41 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.100).
Factorization parameters were as follows:
name: KA_80009_192
n: 1385849343139333038164505296411820227818026836471709217118622691807166707789127712232186430757575800220188870355273314831516389469074379
skew: 445464.44
# norm 1.01e+18
c5: 19740
c4: 2278404383
c3: 6549723286555153
c2: -812542349336701709637
c1: -1191467120118432013127682602
c0: 23449398949109540510458430774160
# alpha -5.49
Y1: 548710858458307
Y0: -147663696882474861177626767
# Murphy_E 3.93e-11
# M 710368434108653846974627531324650650684117711637940843688591718209314703047053413675352004285079685939255492476800431310942407189286610
type: gnfs
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
qintsize: 60000
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 13860000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2689332 hash collisions in 13400375 relations (10834630 unique)
Msieve: matrix is 1023061 x 1023286 (296.9 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,135,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5400000,5400000,27,27,51,51,2.5,2.5,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.55 BogoMIPS (lpj=2830779)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830450)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830462)
Total of 4 processors activated (22644.29 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 16, 2008 09:00:00 UTC 2008 年 1 月 16 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkNovember 18, 2008 15:29:43 UTC 2008 年 11 月 19 日 (水) 0 時 29 分 43 秒 (日本時間)
403e62111Jo Yeong UkFebruary 27, 2009 10:02:14 UTC 2009 年 2 月 27 日 (金) 19 時 2 分 14 秒 (日本時間)
4511e60 / 2553--
5043e6405 / 7469yoyo@homeFebruary 26, 2010 03:20:06 UTC 2010 年 2 月 26 日 (金) 12 時 20 分 6 秒 (日本時間)

8×10193+9

c182

name 名前Robert Backstrom
date 日付March 8, 2012 02:51:47 UTC 2012 年 3 月 8 日 (木) 11 時 51 分 47 秒 (日本時間)
composite number 合成数
21749263554136100543387610629817550376863625386837037939139612924587722216787820750108106569775981104166959783796781140803427641380217823609695398210457031000585586966984267770649749<182>
prime factors 素因数
41742282124703931771423017137079205118606645840124690428372775018839196871017083<80>
521036762895731661552072731451295343525734770376166964065562592161590397313288920090916502314226579503<102>
factorization results 素因数分解の結果
Number: n
N=21749263554136100543387610629817550376863625386837037939139612924587722216787820750108106569775981104166959783796781140803427641380217823609695398210457031000585586966984267770649749
  ( 182 digits)
SNFS difficulty: 193 digits.
Divisors found:

Thu Mar  8 13:48:41 2012  prp80 factor: 41742282124703931771423017137079205118606645840124690428372775018839196871017083
Thu Mar  8 13:48:41 2012  prp102 factor: 521036762895731661552072731451295343525734770376166964065562592161590397313288920090916502314226579503
Thu Mar  8 13:48:41 2012  elapsed time 04:15:43 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.660).
Factorization parameters were as follows:
name: KA_80009_193
n: 21749263554136100543387610629817550376863625386837037939139612924587722216787820750108106569775981104166959783796781140803427641380217823609695398210457031000585586966984267770649749
m: 200000000000000000000000000000000000000
#  c182, diff: 193.9
skew: 0.51
deg: 5
c5: 250
c0: 9
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, 17200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8154590 hash collisions in 77667689 relations (71916061 unique)
Msieve: matrix is 1365309 x 1365535 (383.8 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,193,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
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 KamadaJanuary 16, 2008 09:00:00 UTC 2008 年 1 月 16 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkNovember 18, 2008 15:29:54 UTC 2008 年 11 月 19 日 (水) 0 時 29 分 54 秒 (日本時間)
403e62111Jo Yeong UkFebruary 27, 2009 10:02:26 UTC 2009 年 2 月 27 日 (金) 19 時 2 分 26 秒 (日本時間)
4511e60--
5043e61145yoyo@homeFebruary 26, 2010 04:15:25 UTC 2010 年 2 月 26 日 (金) 13 時 15 分 25 秒 (日本時間)
5511e72635 / 17343yoyo@homeDecember 16, 2010 09:05:19 UTC 2010 年 12 月 16 日 (木) 18 時 5 分 19 秒 (日本時間)

8×10194+9

c161

name 名前Serge Batalov
date 日付November 5, 2008 16:04:30 UTC 2008 年 11 月 6 日 (木) 1 時 4 分 30 秒 (日本時間)
composite number 合成数
12718821074440521299181972388067185712243284579496307956127949626968871524305988692222952022724766482911772768516196170862599823216686631954731134205566411904417<161>
prime factors 素因数
4640813787596588296684196149207787<34>
2740644562907019485541894329504307053275818363204588691032659775150280382696305597977509234141114088628824622335852067596963491<127>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=636370792
Step 1 took 20942ms
Step 2 took 13761ms
********** Factor found in step 2: 4640813787596588296684196149207787
Found probable prime factor of 34 digits: 4640813787596588296684196149207787
Probable prime cofactor 2740644562907019485541894329504307053275818363204588691032659775150280382696305597977509234141114088628824622335852067596963491 has 127 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 16, 2008 09:00:00 UTC 2008 年 1 月 16 日 (水) 18 時 0 分 0 秒 (日本時間)

8×10195+9

c176

name 名前Serge Batalov
date 日付October 6, 2016 17:51:16 UTC 2016 年 10 月 7 日 (金) 2 時 51 分 16 秒 (日本時間)
composite number 合成数
82184551070809001593097046469258474974045157610650887799287801522783019674463835505638949175776431921373326567851260576229312266996468771180522288103817253454147342122647650507<176>
prime factors 素因数
730607749228338923709613697347888433650287132957378165289668780681329<69>
112487926876783823216370650448954550759392289209637046200461648921620872549491401760283926294553098616453883<108>
factorization results 素因数分解の結果
Run 189 of 200:
GMP-ECM 7.0.3 [configured with GMP 6.1.1, --enable-asm-redc] [ECM]
Tuned for x86_64/core2/params.h
Running on ip-172-30-0-163
Input number is (10^195*8+9)/97341895718421793787 (176 digits)
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=3000000000, B2=105101329738032, polynomial Dickson(30), sigma=0:443692224
dF=2097152, k=2, d=23130030, d2=13, i0=117
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
10      28      88      304     1154    4745    20982   99123   497235  2636130
Step 1 took 8555304ms
Using 22 small primes for NTT
Estimated memory usage: 8.78GB
Initializing tables of differences for F took 202ms
Computing roots of F took 172749ms
Building F from its roots took 96587ms
Computing 1/F took 34564ms
Initializing table of differences for G took 465ms
Computing roots of G took 136114ms
Building G from its roots took 108513ms
Computing roots of G took 136095ms
Building G from its roots took 108436ms
Computing G * H took 17846ms
Reducing  G * H mod F took 18788ms
Computing polyeval(F,G) took 193829ms
Computing product of all F(g_i) took 697ms
Step 2 took 1029658ms
********** Factor found in step 2: 730607749228338923709613697347888433650287132957378165289668780681329
Found prime factor of 69 digits: 730607749228338923709613697347888433650287132957378165289668780681329
Prime cofactor ((10^195*8+9)/97341895718421793787)/730607749228338923709613697347888433650287132957378165289668780681329 has 108 digits
Peak memory usage: 10854MB
software ソフトウェア
GMP-ECM 7.0.3 [configured with GMP 6.1.1, --enable-asm-redc] [ECM]
execution environment 実行環境
AWS EC2 c4.8xlarge

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 16, 2008 09:00:00 UTC 2008 年 1 月 16 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkNovember 18, 2008 15:30:06 UTC 2008 年 11 月 19 日 (水) 0 時 30 分 6 秒 (日本時間)
403e62111Jo Yeong UkFebruary 27, 2009 10:02:34 UTC 2009 年 2 月 27 日 (金) 19 時 2 分 34 秒 (日本時間)
4511e60--
5043e61145yoyo@homeFebruary 26, 2010 04:55:11 UTC 2010 年 2 月 26 日 (金) 13 時 55 分 11 秒 (日本時間)
5511e72635 / 17343yoyo@homeDecember 16, 2010 10:15:36 UTC 2010 年 12 月 16 日 (木) 19 時 15 分 36 秒 (日本時間)

8×10196+9

c148

name 名前Eric Jeancolas
date 日付July 19, 2021 08:05:58 UTC 2021 年 7 月 19 日 (月) 17 時 5 分 58 秒 (日本時間)
composite number 合成数
4155875309349698676972742050348235793071578516401734367543983032713103888383436309991840583688225894483651426003183699967227677779086222799374298187<148>
prime factors 素因数
49190150242501720646518381872090808580176211<44>
84485924293008186913574560859060051312349414776305050172426730128541587211580133085359214185307504216617<104>
factorization results 素因数分解の結果
4155875309349698676972742050348235793071578516401734367543983032713103888383436309991840583688225894483651426003183699967227677779086222799374298187=49190150242501720646518381872090808580176211 84485924293008186913574560859060051312349414776305050172426730128541587211580133085359214185307504216617

cado polynomial
n: 4155875309349698676972742050348235793071578516401734367543983032713103888383436309991840583688225894483651426003183699967227677779086222799374298187
skew: 0.65
type: snfs
c0: 9
c5: 80
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 80*x^5+9
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13400000
tasks.lim1 = 13400000
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:Filtering - Merging: Merged matrix has 2466668 rows and total weight 422015623 (171.1 entries per row on average)
Info:Square Root: Factors: 49190150242501720646518381872090808580176211 84485924293008186913574560859060051312349414776305050172426730128541587211580133085359214185307504216617
Info:Square Root: Total cpu/real time for sqrt: 1785.58/542.121
Info:Filtering - Singleton removal: Total cpu/real time for purge: 419.87/412.364
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28437618
Info:Lattice Sieving: Average J: 1893.56 for 2899189 special-q, max bucket fill -bkmult 1.0,1s:1.078500
Info:Lattice Sieving: Total time: 784996s
Info:Linear Algebra: Total cpu/real time for bwc: 105598/27065.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 67660.54, WCT time 17285.22, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (77312 iterations)
Info:Linear Algebra: Lingen CPU time 528.75, WCT time 134.43
Info:Linear Algebra: Mksol: CPU time 36534.81,  WCT time 9345.9, iteration CPU time 0.23, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (38912 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 5.64/2.68331
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 119.74/147.281
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 146.29999999999998s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 518.43/495.318
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 389.8999999999999s
Info:Generate Free Relations: Total cpu/real time for freerel: 117.74/32.3923
Info:Filtering - Merging: Total cpu/real time for merge: 684.26/188.511
Info:Filtering - Merging: Total cpu/real time for replay: 94.23/80.7003
Info:Quadratic Characters: Total cpu/real time for characters: 84.7/37.3077
Info:Square Root: Total cpu/real time for sqrt: 1785.58/542.121
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.64151e+06/47565.1
Info:root: Cleaning up computation data in /tmp/cado.lvdfmolv
49190150242501720646518381872090808580176211 84485924293008186913574560859060051312349414776305050172426730128541587211580133085359214185307504216617
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
6 x Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 16, 2008 09:00:00 UTC 2008 年 1 月 16 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkNovember 18, 2008 15:30:27 UTC 2008 年 11 月 19 日 (水) 0 時 30 分 27 秒 (日本時間)
403e62111Jo Yeong UkFebruary 1, 2009 05:38:16 UTC 2009 年 2 月 1 日 (日) 14 時 38 分 16 秒 (日本時間)
4511e60 / 3273--
5043e6200 / 7469Dmitry DomanovMarch 3, 2012 17:12:21 UTC 2012 年 3 月 4 日 (日) 2 時 12 分 21 秒 (日本時間)

8×10197+9

c124

name 名前Tyler Cadigan
date 日付June 1, 2008 17:08:36 UTC 2008 年 6 月 2 日 (月) 2 時 8 分 36 秒 (日本時間)
composite number 合成数
3404638603531151408492144608513648227826645811936364923836164689727994762576449290071236221548482768741339116814127863508883<124>
prime factors 素因数
16621692800680584305294747562998773325126469691178650296201467<62>
204831038833285778102275560455244890057538477743970633200511049<63>
factorization results 素因数分解の結果
Number: 80009_197
N=3404638603531151408492144608513648227826645811936364923836164689727994762576449290071236221548482768741339116814127863508883
  ( 124 digits)
Divisors found:
 r1=16621692800680584305294747562998773325126469691178650296201467
 r2=204831038833285778102275560455244890057538477743970633200511049
Version: 
Total time: 81.57 hours.
Scaled time: 206.94 units (timescale=2.537).
Factorization parameters were as follows:
name: 80009_197
n: 3404638603531151408492144608513648227826645811936364923836164689727994762576449290071236221548482768741339116814127863508883
skew: 70717.79
# norm 3.61e+017
c5: 478800
c4: 81917542588
c3: -13839480355966165
c2: -262680385946951499111
c1: 21383762814069117708461157
c0: 68693812172939743478896238955
# alpha -6.89
Y1: 27372789176161
Y0: -371862411727914405008552
# Murphy_E 1.72e-010
# M 1446656491575742184387572950846474116950583333787238843359449638130640620324693639485660327461752000793094567024696147419232
type: gnfs
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 60000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [2500000, 6100001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 737464 x 737712
Polynomial selection time: 9.10 hours.
Total sieving time: 72.47 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:
gnfs,123,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5000000,5000000,27,27,50,50,2.4,2.4,60000
total time: 81.57 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve
execution environment 実行環境
C2Q Q660 2.4 Ghz, 4 GB RAM, Windows Vista

8×10201+9

c202

name 名前Kenji Ibusuki
date 日付February 24, 2012 09:56:36 UTC 2012 年 2 月 24 日 (金) 18 時 56 分 36 秒 (日本時間)
composite number 合成数
8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009<202>
prime factors 素因数
9558399327719115513331021204316880831375765547077427<52>
836960219563144112829259430412657026547228356799284993794278444664897016092540823875938294086230613800774699515254781576603441597343181584836402701267<150>
factorization results 素因数分解の結果
Number: 80009_201
N=8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009
  ( 202 digits)
SNFS difficulty: 202 digits.
Divisors found:
 r1=9558399327719115513331021204316880831375765547077427 (pp52)
 r2=836960219563144112829259430412657026547228356799284993794278444664897016092540823875938294086230613800774699515254781576603441597343181584836402701267 (pp150)
Version: GGNFS-0.77.1-VC8(UTE)
Total time: 612.40 hours.
Scaled time: 2785.18 units (timescale=4.548).
Factorization parameters were as follows:
n: 8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009
m: 20000000000000000000000000000000000000000
deg: 5
c5: 5
c0: 18
skew: 1.292
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
relslim: 50000000
qintsize: 5000

Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 29/29
Sieved special-q in [8000000, 8000000)
Relations: raw-rels:44121763, rels:40003903, finalFF:2314510
Initial matrix: 2063224 x 2314509 with sparse part having weight 285141386.
Pruned matrix : 1857430 x 1867810 with weight 248877440.
Number of square root dependence: 1
Total sieving time: 575.89 hours.
Total relation processing time: 2.75 hours.
Total matrix build processing time: 8.46 hours.
Matrix pruned processing time: 0.50 hours.
Matrix solve time: 24.58 hours.
Total time of square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16000000,16000000,29,29,56,56,2.6,2.6,100000
total time: 612.40 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS-0.77.1-VC8 with factLat.pl (decomposed + modified) snfs
execution environment 実行環境
Core i7 2600 - Windows7 64bit (7 processors used) and 
Core 2 Quad Q6600 - Windows Vista 32bit (4 processors used)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 10, 2012 01:00:00 UTC 2012 年 2 月 10 日 (金) 10 時 0 分 0 秒 (日本時間)
403e61400 / 2318400Lionel DebrouxFebruary 10, 2012 14:45:21 UTC 2012 年 2 月 10 日 (金) 23 時 45 分 21 秒 (日本時間)
1000Dmitry DomanovFebruary 15, 2012 09:29:22 UTC 2012 年 2 月 15 日 (水) 18 時 29 分 22 秒 (日本時間)

8×10202+9

c202

name 名前Robert Backstrom
date 日付June 8, 2012 09:52:09 UTC 2012 年 6 月 8 日 (金) 18 時 52 分 9 秒 (日本時間)
composite number 合成数
4210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684211<202>
prime factors 素因数
9295071204025581320208450145852128633536137411652551639037325507875832157991369233331369<88>
452984837164662750015598958494376258125009928668196306365914695228497602437348244092973925023324000617095492597819<114>
factorization results 素因数分解の結果
Number: n
N=4210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684211
  ( 202 digits)
SNFS difficulty: 202 digits.
Divisors found:

Fri Jun  8 19:40:57 2012  prp88 factor: 9295071204025581320208450145852128633536137411652551639037325507875832157991369233331369
Fri Jun  8 19:40:57 2012  prp114 factor: 452984837164662750015598958494376258125009928668196306365914695228497602437348244092973925023324000617095492597819
Fri Jun  8 19:40:57 2012  elapsed time 12:05:37 (Msieve 1.44 - dependency 5)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.093).
Factorization parameters were as follows:
name: KA_80009_202
n: 4210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684211
m: 20000000000000000000000000000000000000000
#  c202, diff: 202.9
skew: 0.82
deg: 5
c5: 25
c0: 9
type: snfs
lss: 1
rlim: 16900000
alim: 16900000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 16900000/16900000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 16050000)
Primes: RFBsize:1085243, AFBsize:1084230, 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4492305 hash collisions in 41883353 relations (39098908 unique)
Msieve: matrix is 2636316 x 2636541 (750.0 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16900000,16900000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.11 BogoMIPS (lpj=2830559)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830449)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830459)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830459)
Total of 4 processors activated (22643.85 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 10, 2012 01:00:00 UTC 2012 年 2 月 10 日 (金) 10 時 0 分 0 秒 (日本時間)
300Ignacio SantosFebruary 12, 2012 00:46:38 UTC 2012 年 2 月 12 日 (日) 9 時 46 分 38 秒 (日本時間)
403e61110110Ignacio SantosFebruary 12, 2012 00:46:38 UTC 2012 年 2 月 12 日 (日) 9 時 46 分 38 秒 (日本時間)
1000Dmitry DomanovFebruary 15, 2012 12:37:25 UTC 2012 年 2 月 15 日 (水) 21 時 37 分 25 秒 (日本時間)
4511e6432 / 351432Ignacio SantosFebruary 12, 2012 00:46:38 UTC 2012 年 2 月 12 日 (日) 9 時 46 分 38 秒 (日本時間)
400Dmitry DomanovFebruary 20, 2012 06:50:54 UTC 2012 年 2 月 20 日 (月) 15 時 50 分 54 秒 (日本時間)
5043e6200 / 7412Dmitry DomanovMarch 22, 2012 19:57:40 UTC 2012 年 3 月 23 日 (金) 4 時 57 分 40 秒 (日本時間)

8×10203+9

c154

composite cofactor 合成数の残り
4538773359567731845936015285333501026635479659534771456980739876336591173540326147732950176442359036360895447773044051310342475610413889903748736994129123<154>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 10, 2012 01:00:00 UTC 2012 年 2 月 10 日 (金) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 15, 2012 12:37:34 UTC 2012 年 2 月 15 日 (水) 21 時 37 分 34 秒 (日本時間)
4511e6400 / 3552Dmitry DomanovFebruary 20, 2012 06:51:02 UTC 2012 年 2 月 20 日 (月) 15 時 51 分 2 秒 (日本時間)
5043e6200 / 7425Dmitry DomanovMarch 3, 2012 17:12:36 UTC 2012 年 3 月 4 日 (日) 2 時 12 分 36 秒 (日本時間)

8×10204+9

c187

name 名前Dmitry Domanov
date 日付February 13, 2012 04:18:32 UTC 2012 年 2 月 13 日 (月) 13 時 18 分 32 秒 (日本時間)
composite number 合成数
6611450594887388869125825543561157109480103062362451046384304499199548210266057359817177957063746000577892035654755178568596857627061569124718797033712712342281025337095435004197860492731<187>
prime factors 素因数
547856505370874439048506475750569<33>
223647387266560775229337015178043961<36>
19189014301477203761791471894617744930721384738598609<53>
2811987841508012717658121812563206451925056347646224131722852707051<67>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=854650909
Step 1 took 23527ms
Step 2 took 9301ms
********** Factor found in step 2: 547856505370874439048506475750569
Found probable prime factor of 33 digits: 547856505370874439048506475750569

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3170594452
Step 1 took 17343ms
Step 2 took 7361ms
********** Factor found in step 2: 223647387266560775229337015178043961
Found probable prime factor of 36 digits: 223647387266560775229337015178043961

N=53959274906277268621311079615138106789719378844461989868812047563206183446869247344921540916671856671385061523753092059
  ( 119 digits)
Divisors found:
 r1=19189014301477203761791471894617744930721384738598609 (pp53)
 r2=2811987841508012717658121812563206451925056347646224131722852707051 (pp67)
Version: Msieve-1.40
Total time: 40.96 hours.
Scaled time: 79.91 units (timescale=1.951).
Factorization parameters were as follows:
n: 53959274906277268621311079615138106789719378844461989868812047563206183446869247344921540916671856671385061523753092059
skew: 149006.36
c0: -323856667644353054732058229685
c1:  11624977348731926076630527
c2: -6556569912195263835
c3: -1199416438271939
c4: -885289648
c5:  17220
Y0: -79287899614136535709062
Y1:  5711122301111
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.500000
alambda: 2.500000
type: gnfs
qintsize: 240000Factor 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, 4130001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 702816 x 703043
Total sieving time: 40.10 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.64 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
gnfs,118,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4900000,4900000,27,27,54,54,2.500000,2.500000,100000
total time: 40.96 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 10, 2012 01:00:00 UTC 2012 年 2 月 10 日 (金) 10 時 0 分 0 秒 (日本時間)

8×10205+9

c162

name 名前Dmitry Domanov
date 日付March 14, 2012 14:14:29 UTC 2012 年 3 月 14 日 (水) 23 時 14 分 29 秒 (日本時間)
composite number 合成数
689996818521747025194390074617260768109698412829778037606014214307505033231572213588879964630244251508094036351454923105128700172215129370845398654328666549693461<162>
prime factors 素因数
9078055620715140386353294472701466668607<40>
76007115108134936446925969679488750316511287549294913965796863234678348815270572354587162255379615932155547349611234916523<122>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2815533490
Step 1 took 282292ms
Step 2 took 81410ms
********** Factor found in step 2: 9078055620715140386353294472701466668607
Found probable prime factor of 40 digits: 9078055620715140386353294472701466668607

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 10, 2012 01:00:00 UTC 2012 年 2 月 10 日 (金) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 15, 2012 12:37:51 UTC 2012 年 2 月 15 日 (水) 21 時 37 分 51 秒 (日本時間)
4511e6400 / 3552Dmitry DomanovFebruary 20, 2012 06:51:09 UTC 2012 年 2 月 20 日 (月) 15 時 51 分 9 秒 (日本時間)
5043e6200 / 7425Dmitry DomanovMarch 13, 2012 17:23:12 UTC 2012 年 3 月 14 日 (水) 2 時 23 分 12 秒 (日本時間)

8×10209+9

c197

name 名前Bob Backstrom
date 日付June 7, 2021 15:58:30 UTC 2021 年 6 月 8 日 (火) 0 時 58 分 30 秒 (日本時間)
composite number 合成数
10171091141281302484967144276715299339654929805824689205873174550610790841569473212382347393705572237905737569203368063913193161500737907801491003553206803053105713868639781301710636680366644311581<197>
prime factors 素因数
2181421402609527255059993667919924340691230244344523334584941213708257832151141435273961<88>
4662598033151286513495165227310399404256797023679228732839631592138138105726399504044257935084414832131334421<109>
factorization results 素因数分解の結果
Number: n
N=10171091141281302484967144276715299339654929805824689205873174550610790841569473212382347393705572237905737569203368063913193161500737907801491003553206803053105713868639781301710636680366644311581
  ( 197 digits)
SNFS difficulty: 210 digits.
Divisors found:

Tue Jun  8 01:52:18 2021  p88 factor: 2181421402609527255059993667919924340691230244344523334584941213708257832151141435273961
Tue Jun  8 01:52:18 2021  p109 factor: 4662598033151286513495165227310399404256797023679228732839631592138138105726399504044257935084414832131334421
Tue Jun  8 01:52:18 2021  elapsed time 02:40:55 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.352).
Factorization parameters were as follows:
#
# N = 8x10^209+9 = 80(208)9
#
n: 10171091141281302484967144276715299339654929805824689205873174550610790841569473212382347393705572237905737569203368063913193161500737907801491003553206803053105713868639781301710636680366644311581
m: 1000000000000000000000000000000000000000000
deg: 5
c5: 4
c0: 45
skew: 1.62
# Murphy_E = 6.814e-12
type: snfs
lss: 1
rlim: 23000000
alim: 23000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 23000000/23000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 38700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8847106 hash collisions in 61453631 relations (54972030 unique)
Msieve: matrix is 2635980 x 2636205 (918.9 MB)

Sieving start time : 2021/06/07 10:38:31
Sieving end time  : 2021/06/07 23:09:55

Total sieving time: 12hrs 31min 24secs.

Total relation processing time: 2hrs 21min 6sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 8sec.

Prototype def-par.txt line would be:
snfs,210,5,0,0,0,0,0,0,0,0,23000000,23000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117662] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241088K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486148K reserved, 0K cma-reserved)
[    0.152608] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.07 BogoMIPS (lpj=12798140)
[    0.150211] smpboot: Total of 16 processors activated (102385.12 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 10, 2012 01:00:00 UTC 2012 年 2 月 10 日 (金) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 15, 2012 12:38:37 UTC 2012 年 2 月 15 日 (水) 21 時 38 分 37 秒 (日本時間)
4511e6400 / 3552Dmitry DomanovFebruary 20, 2012 06:51:19 UTC 2012 年 2 月 20 日 (月) 15 時 51 分 19 秒 (日本時間)
5043e6200 / 7425Dmitry DomanovMarch 22, 2012 19:57:58 UTC 2012 年 3 月 23 日 (金) 4 時 57 分 58 秒 (日本時間)

8×10210+9

c171

name 名前Dmitry Domanov
date 日付March 14, 2012 08:55:40 UTC 2012 年 3 月 14 日 (水) 17 時 55 分 40 秒 (日本時間)
composite number 合成数
241549311349716228619930296490722021997566780146481273462463277876630692412330726276281945374128553669871809822444701028965127288717453549928733658375683716088046208198241<171>
prime factors 素因数
39196921440858248984237468947606005277720607827<47>
composite cofactor 合成数の残り
6162456194784957245620568533326658088126053881044520186887426790362389820354004415894071733067504014442251438855713932581883<124>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1896337680
Step 1 took 385649ms
Step 2 took 106544ms
********** Factor found in step 2: 39196921440858248984237468947606005277720607827
Found probable prime factor of 47 digits: 39196921440858248984237468947606005277720607827

c124

name 名前Warut Roonguthai
date 日付March 15, 2012 14:20:19 UTC 2012 年 3 月 15 日 (木) 23 時 20 分 19 秒 (日本時間)
composite number 合成数
6162456194784957245620568533326658088126053881044520186887426790362389820354004415894071733067504014442251438855713932581883<124>
prime factors 素因数
532070688881903804529742049270970881011482261461121970313<57>
11582025327752550512453265671835035271686903066743190262652573441891<68>
factorization results 素因数分解の結果
N = 6162456194784957245620568533326658088126053881044520186887426790362389820354004415894071733067504014442251438855713932581883 (124 digits)
Divisors found:
r1=532070688881903804529742049270970881011482261461121970313 (pp57)
r2=11582025327752550512453265671835035271686903066743190262652573441891 (pp68)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 13.57 hours.
Factorization parameters were as follows:
n: 6162456194784957245620568533326658088126053881044520186887426790362389820354004415894071733067504014442251438855713932581883
Y0: -1279073959948386860270734
Y1: 9676645272359
c0: 209686586485069640279600910525267
c1: 2660738822377899497137429803
c2: -1357337696939064754697
c3: -9463679324232327
c4: 1672591746
c5: 1800
skew: 1011510.82
type: gnfs
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 11299645
Relations: 1487180 relations
Pruned matrix : 865320 x 865554
Polynomial selection time: 0.00 hours.
Total sieving time: 12.76 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.70 hours.
time per square root: 0.06 hours.
Prototype def-par.txt line would be: gnfs,123,5,65,2000,1e-05,0.28,250,20,50000,3600,5200000,5200000,27,27,53,53,2.5,2.5,100000
total time: 13.57 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 10, 2012 01:00:00 UTC 2012 年 2 月 10 日 (金) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 15, 2012 12:38:46 UTC 2012 年 2 月 15 日 (水) 21 時 38 分 46 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovFebruary 20, 2012 06:51:29 UTC 2012 年 2 月 20 日 (月) 15 時 51 分 29 秒 (日本時間)

8×10211+9

c146

name 名前Lionel Debroux
date 日付February 10, 2012 13:30:41 UTC 2012 年 2 月 10 日 (金) 22 時 30 分 41 秒 (日本時間)
composite number 合成数
50014542220908694045128080700625546866452069604186111320484390080780671950927498592746943418619914300343428179728363913269203295350165445840621103<146>
prime factors 素因数
24146543135628100337366391171165943<35>
composite cofactor 合成数の残り
2071292024700318032733984367468818943774309616075440479484507156401119778649984660825891699865668631945636394121<112>
factorization results 素因数分解の結果
********** Factor found in step 2: 24146543135628100337366391171165943
Found probable prime factor of 35 digits: 24146543135628100337366391171165943
Composite cofactor 2071292024700318032733984367468818943774309616075440479484507156401119778649984660825891699865668631945636394121 has 112 digits
software ソフトウェア
GMP-ECM 6.5-dev (SVN r1712)
execution environment 実行環境
Core i7-2670QM, Debian unstable x86_64

c112

name 名前Warut Roonguthai
date 日付February 11, 2012 17:38:39 UTC 2012 年 2 月 12 日 (日) 2 時 38 分 39 秒 (日本時間)
composite number 合成数
2071292024700318032733984367468818943774309616075440479484507156401119778649984660825891699865668631945636394121<112>
prime factors 素因数
5434121769422715787640346553236481127<37>
381164079972458555786223587273986931886316263058346306707856839725809076623<75>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2202966019
Step 1 took 3728ms
Step 2 took 3354ms
********** Factor found in step 2: 5434121769422715787640346553236481127
Found probable prime factor of 37 digits: 5434121769422715787640346553236481127
Probable prime cofactor 381164079972458555786223587273986931886316263058346306707856839725809076623 has 75 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 10, 2012 01:00:00 UTC 2012 年 2 月 10 日 (金) 10 時 0 分 0 秒 (日本時間)

8×10213+9

c177

name 名前Warut Roonguthai
date 日付February 10, 2012 15:59:16 UTC 2012 年 2 月 11 日 (土) 0 時 59 分 16 秒 (日本時間)
composite number 合成数
191958795538745512482047510543939170469134350285616728208669812250871648714702676379276876750232472181399431406275354456063130049897546404450899740479677404409387096774992163961<177>
prime factors 素因数
62555243579672841712217939543<29>
composite cofactor 合成数の残り
3068628376360794912078530386432442844396649484227245118385713667577336042284107359110543525586164007547649873239035755922916136752709773803297694127<148>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4246365244
Step 1 took 8689ms
Step 2 took 5180ms
********** Factor found in step 2: 62555243579672841712217939543
Found probable prime factor of 29 digits: 62555243579672841712217939543
Composite cofactor 3068628376360794912078530386432442844396649484227245118385713667577336042284107359110543525586164007547649873239035755922916136752709773803297694127 has 148 digits
software ソフトウェア
GMP-ECM 6.3

c148

name 名前Dmitry Domanov
date 日付February 20, 2012 06:49:33 UTC 2012 年 2 月 20 日 (月) 15 時 49 分 33 秒 (日本時間)
composite number 合成数
3068628376360794912078530386432442844396649484227245118385713667577336042284107359110543525586164007547649873239035755922916136752709773803297694127<148>
prime factors 素因数
105577089446546854006354569722204317321021<42>
29065286725056253106315520764067381793185755642562335773223441631141394368026762543867901497883494777879387<107>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2588812785
Step 1 took 81183ms
Step 2 took 30189ms
********** Factor found in step 2: 105577089446546854006354569722204317321021
Found probable prime factor of 42 digits: 105577089446546854006354569722204317321021

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 10, 2012 01:00:00 UTC 2012 年 2 月 10 日 (金) 10 時 0 分 0 秒 (日本時間)
403e61192 / 23181000Dmitry DomanovFebruary 15, 2012 12:38:55 UTC 2012 年 2 月 15 日 (水) 21 時 38 分 55 秒 (日本時間)
192Lionel DebrouxFebruary 16, 2012 07:24:38 UTC 2012 年 2 月 16 日 (木) 16 時 24 分 38 秒 (日本時間)

8×10214+9

c208

name 名前Bob Backstrom
date 日付December 1, 2019 19:49:44 UTC 2019 年 12 月 2 日 (月) 4 時 49 分 44 秒 (日本時間)
composite number 合成数
4063393200490512510197212217668456472855847723120793657896526606412979209293142785249821731321432230296466691680237976686179927355672209930739970821789275577752292401368367977231182540371462200360941059516571<208>
prime factors 素因数
16470414619763564921290540205082237341176436046477835254898309160069854534326069461505175851500011897<101>
246708616285510551482824712247133731599589211259876298702390771897194365516241292312111280841671034868165043<108>
factorization results 素因数分解の結果
Number: n
N=4063393200490512510197212217668456472855847723120793657896526606412979209293142785249821731321432230296466691680237976686179927355672209930739970821789275577752292401368367977231182540371462200360941059516571
  ( 208 digits)
SNFS difficulty: 216 digits.
Divisors found:

Mon Dec  2 06:40:54 2019  p101 factor: 16470414619763564921290540205082237341176436046477835254898309160069854534326069461505175851500011897
Mon Dec  2 06:40:54 2019  p108 factor: 246708616285510551482824712247133731599589211259876298702390771897194365516241292312111280841671034868165043
Mon Dec  2 06:40:54 2019  elapsed time 05:35:05 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.125).
Factorization parameters were as follows:
#
# N = 8x10^214+9 = 80(213)9
#
n: 4063393200490512510197212217668456472855847723120793657896526606412979209293142785249821731321432230296466691680237976686179927355672209930739970821789275577752292401368367977231182540371462200360941059516571
m: 1000000000000000000000000000000000000
deg: 6
c6: 2
c0: 225
skew: 2.20
# Murphy_E = 3.734e-12
type: snfs
lss: 1
rlim: 28000000
alim: 28000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 28000000/28000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 75600000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 10449309 hash collisions in 63853183 relations (55959679 unique)
Msieve: matrix is 3566885 x 3567109 (1252.5 MB)

Sieving start time: 2019/11/30 15:13:38
Sieving end time  : 2019/12/02 01:04:10

Total sieving time: 33hrs 50min 32secs.

Total relation processing time: 5hrs 9min 35sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 35sec.

Prototype def-par.txt line would be:
snfs,216,6,0,0,0,0,0,0,0,0,28000000,28000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149711] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283564K/16703460K available (12300K kernel code, 2481K rwdata, 4264K rodata, 2432K init, 2388K bss, 419896K reserved, 0K cma-reserved)
[    0.184572] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.54 BogoMIPS (lpj=11977084)
[    0.182221] smpboot: Total of 16 processors activated (95816.67 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 10, 2012 01:00:00 UTC 2012 年 2 月 10 日 (金) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 15, 2012 12:39:04 UTC 2012 年 2 月 15 日 (水) 21 時 39 分 4 秒 (日本時間)
4511e6400 / 3552Dmitry DomanovFebruary 20, 2012 06:51:41 UTC 2012 年 2 月 20 日 (月) 15 時 51 分 41 秒 (日本時間)
5043e6200 / 7425Dmitry DomanovMarch 22, 2012 19:58:15 UTC 2012 年 3 月 23 日 (金) 4 時 58 分 15 秒 (日本時間)

8×10215+9

c205

composite cofactor 合成数の残り
2014053610175524206505016186928132816338303378514383331029253443766070709696249048696145170273526838385668607273717543988696988725964182641777207189264740946437998158345385994218492595073802478324767716947<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 10, 2012 01:00:00 UTC 2012 年 2 月 10 日 (金) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 15, 2012 12:39:14 UTC 2012 年 2 月 15 日 (水) 21 時 39 分 14 秒 (日本時間)
4511e6400 / 3552Dmitry DomanovFebruary 20, 2012 06:51:51 UTC 2012 年 2 月 20 日 (月) 15 時 51 分 51 秒 (日本時間)
5043e6200 / 7425Dmitry DomanovMarch 22, 2012 19:58:26 UTC 2012 年 3 月 23 日 (金) 4 時 58 分 26 秒 (日本時間)

8×10216+9

c179

composite cofactor 合成数の残り
73333254382042362762865200477702485759235679260911388531868971378204812350732504978675291793688157197959531819838124675656596679722213111062819022425350229170383488303276563506243<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 10, 2012 01:00:00 UTC 2012 年 2 月 10 日 (金) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 15, 2012 12:39:27 UTC 2012 年 2 月 15 日 (水) 21 時 39 分 27 秒 (日本時間)
4511e6400 / 3552Dmitry DomanovFebruary 20, 2012 06:51:59 UTC 2012 年 2 月 20 日 (月) 15 時 51 分 59 秒 (日本時間)
5043e6200 / 7425Dmitry DomanovMarch 13, 2012 17:24:45 UTC 2012 年 3 月 14 日 (水) 2 時 24 分 45 秒 (日本時間)

8×10217+9

c196

composite cofactor 合成数の残り
1352515663323410390342862706577643649857809104558706570186000510670196296546175343679516265294061218175931816320645384727153384906190312783356932742710516149537551521387851645759424536780157271043<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 10, 2012 01:00:00 UTC 2012 年 2 月 10 日 (金) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 15, 2012 12:39:36 UTC 2012 年 2 月 15 日 (水) 21 時 39 分 36 秒 (日本時間)
4511e6400 / 3552Dmitry DomanovFebruary 20, 2012 06:52:08 UTC 2012 年 2 月 20 日 (月) 15 時 52 分 8 秒 (日本時間)
5043e6200 / 7425Dmitry DomanovMarch 22, 2012 19:58:45 UTC 2012 年 3 月 23 日 (金) 4 時 58 分 45 秒 (日本時間)

8×10218+9

c181

composite cofactor 合成数の残り
3541069920461940130064841921917866854198568490534294145500568809732280996934757375638624060516911490978465657723342267993361346145062181026508975878588744003061032328398926341413451<181>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 10, 2012 01:00:00 UTC 2012 年 2 月 10 日 (金) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 15, 2012 12:39:45 UTC 2012 年 2 月 15 日 (水) 21 時 39 分 45 秒 (日本時間)
4511e6400 / 3552Dmitry DomanovFebruary 20, 2012 06:52:15 UTC 2012 年 2 月 20 日 (月) 15 時 52 分 15 秒 (日本時間)
5043e6200 / 7425Dmitry DomanovMarch 13, 2012 17:25:05 UTC 2012 年 3 月 14 日 (水) 2 時 25 分 5 秒 (日本時間)

8×10222+9

c172

composite cofactor 合成数の残り
4632539866168664874739127371763669447578777276554588086941835562344788073671390003765478251260032761876260924946980205045737563090448024026198638316509180582499468266902419<172>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 10, 2012 01:00:00 UTC 2012 年 2 月 10 日 (金) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 15, 2012 12:39:54 UTC 2012 年 2 月 15 日 (水) 21 時 39 分 54 秒 (日本時間)
4511e6400 / 3552Dmitry DomanovFebruary 20, 2012 06:52:22 UTC 2012 年 2 月 20 日 (月) 15 時 52 分 22 秒 (日本時間)
5043e6200 / 7425Dmitry DomanovMarch 3, 2012 17:13:35 UTC 2012 年 3 月 4 日 (日) 2 時 13 分 35 秒 (日本時間)

8×10225+9

c204

composite cofactor 合成数の残り
237025616292543900793061079455761592039156204997644066041601171019079782584801343461703823170885452355617108079668021957094466661095402482130705066065394123906581994587384375950737759578176524561167134987<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 10, 2012 01:00:00 UTC 2012 年 2 月 10 日 (金) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 15, 2012 12:40:05 UTC 2012 年 2 月 15 日 (水) 21 時 40 分 5 秒 (日本時間)
4511e6400 / 3552Dmitry DomanovFebruary 20, 2012 06:52:33 UTC 2012 年 2 月 20 日 (月) 15 時 52 分 33 秒 (日本時間)
5043e6200 / 7425Dmitry DomanovMarch 22, 2012 19:59:06 UTC 2012 年 3 月 23 日 (金) 4 時 59 分 6 秒 (日本時間)

8×10226+9

c218

composite cofactor 合成数の残り
16248475763239484464241995331655709218286771411083199910480972599523649082394435759682668746955227323206440077194339179636398218437743514319498458899809690072903167507051610494820383303464637078441580506566489706148747<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 10, 2012 01:00:00 UTC 2012 年 2 月 10 日 (金) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 15, 2012 12:40:13 UTC 2012 年 2 月 15 日 (水) 21 時 40 分 13 秒 (日本時間)
4511e6400 / 3552Dmitry DomanovFebruary 20, 2012 06:52:40 UTC 2012 年 2 月 20 日 (月) 15 時 52 分 40 秒 (日本時間)
5043e6200 / 7425Dmitry DomanovMarch 22, 2012 19:59:21 UTC 2012 年 3 月 23 日 (金) 4 時 59 分 21 秒 (日本時間)

8×10227+9

c198

composite cofactor 合成数の残り
110698163908201984514227984462373524418722610991535808775987111333106934333943564107302250210687114063155939669595690299179329115581262504643019862283709623530056948608966429263800015807918938561921<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 10, 2012 01:00:00 UTC 2012 年 2 月 10 日 (金) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 15, 2012 12:40:21 UTC 2012 年 2 月 15 日 (水) 21 時 40 分 21 秒 (日本時間)
4511e6400 / 3552Dmitry DomanovFebruary 20, 2012 06:52:47 UTC 2012 年 2 月 20 日 (月) 15 時 52 分 47 秒 (日本時間)
5043e6200 / 7425Dmitry DomanovMarch 22, 2012 19:59:32 UTC 2012 年 3 月 23 日 (金) 4 時 59 分 32 秒 (日本時間)

8×10228+9

c179

composite cofactor 合成数の残り
28962386692514484327808006456555186467602912554408598673305571420411073731816296580927440260700755522590178286559713636947707756629068044807956307304911265889609020883376653664713<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 10, 2012 01:00:00 UTC 2012 年 2 月 10 日 (金) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 15, 2012 12:40:31 UTC 2012 年 2 月 15 日 (水) 21 時 40 分 31 秒 (日本時間)
4511e6400 / 3552Dmitry DomanovFebruary 20, 2012 06:52:55 UTC 2012 年 2 月 20 日 (月) 15 時 52 分 55 秒 (日本時間)
5043e6200 / 7425Dmitry DomanovMarch 13, 2012 17:25:40 UTC 2012 年 3 月 14 日 (水) 2 時 25 分 40 秒 (日本時間)

8×10230+9

c203

composite cofactor 合成数の残り
44626806551827117354729783766716165523480435894660964622520271860853024865343240525719148080673862336535210167018719162896965611721897432753941202022124618159713694042899487415823877104551878165026008001<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 10, 2012 01:00:00 UTC 2012 年 2 月 10 日 (金) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 15, 2012 12:40:39 UTC 2012 年 2 月 15 日 (水) 21 時 40 分 39 秒 (日本時間)
4511e6400 / 3552Dmitry DomanovFebruary 20, 2012 06:53:03 UTC 2012 年 2 月 20 日 (月) 15 時 53 分 3 秒 (日本時間)
5043e6200 / 7425Dmitry DomanovMarch 22, 2012 19:59:49 UTC 2012 年 3 月 23 日 (金) 4 時 59 分 49 秒 (日本時間)

8×10231+9

c212

name 名前Warut Roonguthai
date 日付February 10, 2012 21:26:44 UTC 2012 年 2 月 11 日 (土) 6 時 26 分 44 秒 (日本時間)
composite number 合成数
12959620752700149024229965181887282339424354446190438525207209587765208333373323670520992087465163961144487454523224680106754929210606294497092104470318897283755841394347829005634175106007020461158984801047516281<212>
prime factors 素因数
7333878841991349263662508923501<31>
composite cofactor 合成数の残り
1767089562278786777115668566063831803156112866810968284987141492441276895784848221399914194727724904921372046429726819149604450661695889092447943483901942337453079774357300121262781<181>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1849300593
Step 1 took 9875ms
Step 2 took 967ms
********** Factor found in step 2: 7333878841991349263662508923501
Found probable prime factor of 31 digits: 7333878841991349263662508923501
Composite cofactor 1767089562278786777115668566063831803156112866810968284987141492441276895784848221399914194727724904921372046429726819149604450661695889092447943483901942337453079774357300121262781 has 181 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 10, 2012 01:00:00 UTC 2012 年 2 月 10 日 (金) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 15, 2012 12:40:49 UTC 2012 年 2 月 15 日 (水) 21 時 40 分 49 秒 (日本時間)
4511e6400 / 3552Dmitry DomanovFebruary 20, 2012 06:53:13 UTC 2012 年 2 月 20 日 (月) 15 時 53 分 13 秒 (日本時間)
5043e6200 / 7425Dmitry DomanovMarch 13, 2012 17:25:58 UTC 2012 年 3 月 14 日 (水) 2 時 25 分 58 秒 (日本時間)

8×10232+9

c220

name 名前Warut Roonguthai
date 日付February 10, 2012 21:37:49 UTC 2012 年 2 月 11 日 (土) 6 時 37 分 49 秒 (日本時間)
composite number 合成数
9215137069934729882004045859339052195991447961169137047194885618599490204148443232339684290675573889081733466759185829167566641228563255940521447508343651811935577987650612714330235345664494085400420071492702344332154571<220>
prime factors 素因数
15999558430692995355982848793<29>
composite cofactor 合成数の残り
575961962316205680239898143378435304716940269155281416687710041565486141344080740094821791689074944975946103165815298815540861325626059289148443127248057837655274255462015554307413403753974147<192>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2316490494
Step 1 took 11435ms
Step 2 took 6396ms
********** Factor found in step 2: 15999558430692995355982848793
Found probable prime factor of 29 digits: 15999558430692995355982848793
Composite cofactor 575961962316205680239898143378435304716940269155281416687710041565486141344080740094821791689074944975946103165815298815540861325626059289148443127248057837655274255462015554307413403753974147 has 192 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 10, 2012 01:00:00 UTC 2012 年 2 月 10 日 (金) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 15, 2012 12:40:59 UTC 2012 年 2 月 15 日 (水) 21 時 40 分 59 秒 (日本時間)
4511e6400 / 3552Dmitry DomanovFebruary 20, 2012 06:53:22 UTC 2012 年 2 月 20 日 (月) 15 時 53 分 22 秒 (日本時間)
5043e6200 / 7425Dmitry DomanovMarch 22, 2012 20:00:10 UTC 2012 年 3 月 23 日 (金) 5 時 0 分 10 秒 (日本時間)

8×10234+9

c213

composite cofactor 合成数の残り
242931082911191250215061768761150488149897055406623331618456141410887646556848488210659967034555919793675644484739960601058389618439717067395842662407288325246522855166328644066963487897332582780050181437147930619<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 10, 2012 01:00:00 UTC 2012 年 2 月 10 日 (金) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 15, 2012 12:41:08 UTC 2012 年 2 月 15 日 (水) 21 時 41 分 8 秒 (日本時間)
4511e6400 / 3552Dmitry DomanovFebruary 20, 2012 06:53:30 UTC 2012 年 2 月 20 日 (月) 15 時 53 分 30 秒 (日本時間)
5043e6200 / 7425Dmitry DomanovMarch 22, 2012 20:00:24 UTC 2012 年 3 月 23 日 (金) 5 時 0 分 24 秒 (日本時間)

8×10235+9

c208

composite cofactor 合成数の残り
2200450938117763100537551535967562476017165883933908788025691391064687687057131972349689444304174954994741528655223894675131909864780926252548870385388994680199322783145314244773806499820520622563982241092043<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 10, 2012 01:00:00 UTC 2012 年 2 月 10 日 (金) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 15, 2012 12:41:17 UTC 2012 年 2 月 15 日 (水) 21 時 41 分 17 秒 (日本時間)
4511e6400 / 3552Dmitry DomanovFebruary 20, 2012 06:53:38 UTC 2012 年 2 月 20 日 (月) 15 時 53 分 38 秒 (日本時間)
5043e6200 / 7425Dmitry DomanovMarch 22, 2012 20:00:39 UTC 2012 年 3 月 23 日 (金) 5 時 0 分 39 秒 (日本時間)

8×10236+9

c219

composite cofactor 合成数の残り
214581951101818738357315953368661888215261571897841058326400213894198180273788726380577474996251057142749889673474241018506172057934991146847889140836408723819787335185531551758563830846849930535847143904713361905610241<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 10, 2012 01:00:00 UTC 2012 年 2 月 10 日 (金) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 15, 2012 12:41:25 UTC 2012 年 2 月 15 日 (水) 21 時 41 分 25 秒 (日本時間)
4511e6400 / 3552Dmitry DomanovFebruary 20, 2012 06:53:47 UTC 2012 年 2 月 20 日 (月) 15 時 53 分 47 秒 (日本時間)
5043e6200 / 7425Dmitry DomanovMarch 22, 2012 20:00:50 UTC 2012 年 3 月 23 日 (金) 5 時 0 分 50 秒 (日本時間)

8×10238+9

c229

name 名前Warut Roonguthai
date 日付February 10, 2012 23:12:26 UTC 2012 年 2 月 11 日 (土) 8 時 12 分 26 秒 (日本時間)
composite number 合成数
3668874875608970004318271690513430559658862796925804853043140957633717316464663102238941436269547726412775208769091612002891841480935077101273202122302992267698848466904070641443979656174849864094356401784739574170086638229791379<229>
prime factors 素因数
18557619469047790819106930281648019<35>
composite cofactor 合成数の残り
197701805542908003093963919433080948543218008914106562655210783965648760655387294935589529160614522929677450508365095901977053932023177730904686232832778315896366179985128474202954871710270685441<195>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3788514248
Step 1 took 11794ms
Step 2 took 6926ms
********** Factor found in step 2: 18557619469047790819106930281648019
Found probable prime factor of 35 digits: 18557619469047790819106930281648019
Composite cofactor 197701805542908003093963919433080948543218008914106562655210783965648760655387294935589529160614522929677450508365095901977053932023177730904686232832778315896366179985128474202954871710270685441 has 195 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 10, 2012 01:00:00 UTC 2012 年 2 月 10 日 (金) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 15, 2012 12:41:35 UTC 2012 年 2 月 15 日 (水) 21 時 41 分 35 秒 (日本時間)
4511e6400 / 3552Dmitry DomanovFebruary 20, 2012 06:53:56 UTC 2012 年 2 月 20 日 (月) 15 時 53 分 56 秒 (日本時間)
5043e6200 / 7425Dmitry DomanovMarch 22, 2012 20:01:03 UTC 2012 年 3 月 23 日 (金) 5 時 1 分 3 秒 (日本時間)

8×10239+9

c201

composite cofactor 合成数の残り
135229119754796010001464322857173604309233659788024065060255420601575097800033378746369931455563327363030622436179986798251858401922232325170522547762685004675878620229324051270291736765150891278839487<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 10, 2012 01:00:00 UTC 2012 年 2 月 10 日 (金) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 15, 2012 12:41:46 UTC 2012 年 2 月 15 日 (水) 21 時 41 分 46 秒 (日本時間)
4511e6400 / 3552Dmitry DomanovFebruary 20, 2012 06:54:04 UTC 2012 年 2 月 20 日 (月) 15 時 54 分 4 秒 (日本時間)
5043e6200 / 7425Dmitry DomanovMarch 22, 2012 20:01:18 UTC 2012 年 3 月 23 日 (金) 5 時 1 分 18 秒 (日本時間)

8×10240+9

c180

name 名前Dmitry Domanov
date 日付February 20, 2012 06:50:15 UTC 2012 年 2 月 20 日 (月) 15 時 50 分 15 秒 (日本時間)
composite number 合成数
445575368729711282778880316682154663186587180589783238127073691734354486225709782427260635050592189103858574546541489296191900775670739800545814271379235635535811586021244108823049<180>
prime factors 素因数
8432458117613813377039748151222427003939<40>
52840507775424160136003690375395441679555302297208400335578099591514897445812381625284955000821096760135048995125197597285749573031291051491<140>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3311103968
Step 1 took 118128ms
Step 2 took 36711ms
********** Factor found in step 2: 8432458117613813377039748151222427003939
Found probable prime factor of 40 digits: 8432458117613813377039748151222427003939

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 10, 2012 01:00:00 UTC 2012 年 2 月 10 日 (金) 10 時 0 分 0 秒 (日本時間)
403e61000 / 2318Dmitry DomanovFebruary 15, 2012 12:41:55 UTC 2012 年 2 月 15 日 (水) 21 時 41 分 55 秒 (日本時間)

8×10241+9

c193

name 名前Dmitry Domanov
date 日付February 12, 2012 20:38:58 UTC 2012 年 2 月 13 日 (月) 5 時 38 分 58 秒 (日本時間)
composite number 合成数
4261841407181766704821723512047068764661742947942093064050558915032760234449433289148348151663936781647828070085399098605921916733098702076823999695845076829133080131071521542897792986017229149<193>
prime factors 素因数
2400439133932968412097481379746868487<37>
1775442395908205280846293118231576036333142880766642356465599693190119072536000388123899257377679174925589192447913835469874362828319454766807149408502940027<157>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1915399015
Step 1 took 24089ms
Step 2 took 9497ms
********** Factor found in step 2: 2400439133932968412097481379746868487
Found probable prime factor of 37 digits: 2400439133932968412097481379746868487

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 10, 2012 01:00:00 UTC 2012 年 2 月 10 日 (金) 10 時 0 分 0 秒 (日本時間)

8×10242+9

c242

name 名前[SG-FC] hl
date 日付January 3, 2014 01:33:34 UTC 2014 年 1 月 3 日 (金) 10 時 33 分 34 秒 (日本時間)
composite number 合成数
18604651162790697674418604651162790697674418604651162790697674418604651162790697674418604651162790697674418604651162790697674418604651162790697674418604651162790697674418604651162790697674418604651162790697674418604651162790697674418604651163<242>
prime factors 素因数
275688573237176292628051210403781465633670232402473529233<57>
composite cofactor 合成数の残り
67484302828848190667966793395938045288767669676349567122845207173433643476108063723968143595686984226360481571779731514481005719413723561215768786944979871566819173180723591359692751211<185>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 18604651162790697674418604651162790697674418604651162790697674418604651162790697674418604651162790697674418604651162790697674418604651162790697674418604651162790697674418604651162790697674418604651162790697674418604651162790697674418604651163 (242 digits)
[Thu Jan 02 16:17:31 2014]
Using MODMULN
Using B1=260000000, B2=3178559884516, polynomial Dickson(30), sigma=1505490660
dF=262144, k=4, d=2852850, d2=17, i0=75
Expected number of curves to find a factor of n digits:
35        40      45      50      55      60      65      70      75      80
23      82      335     1521    7650    42057   250476  1603736 1.1e+007        7.9e+007
Step 1 took 2772215ms
Using 29 small primes for NTT
Estimated memory usage: 1524M
Initializing tables of differences for F took 780ms
Computing roots of F took 64865ms
Building F from its roots took 38470ms
Computing 1/F took 16052ms
Initializing table of differences for G took 1045ms
Computing roots of G took 51574ms
Building G from its roots took 37362ms
Computing roots of G took 51605ms
Building G from its roots took 38002ms
Computing G * H took 8955ms
Reducing  G * H mod F took 8315ms
Computing roots of G took 51620ms
Building G from its roots took 37877ms
Computing G * H took 8939ms
Reducing  G * H mod F took 8252ms
Computing roots of G took 51668ms
Building G from its roots took 37939ms
Computing G * H took 8923ms
Reducing  G * H mod F took 8284ms
Computing polyeval(F,G) took 76955ms
Computing product of all F(g_i) took 281ms
Step 2 took 609091ms
********** Factor found in step 2: 275688573237176292628051210403781465633670232402473529233
Found probable prime factor of 57 digits: 275688573237176292628051210403781465633670232402473529233
Composite cofactor 67484302828848190667966793395938045288767669676349567122845207173433643476108063723968143595686984226360481571779731514481005719413723561215768786944979871566819173180723591359692751211 has 185 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 10, 2012 01:00:00 UTC 2012 年 2 月 10 日 (金) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 15, 2012 12:42:02 UTC 2012 年 2 月 15 日 (水) 21 時 42 分 2 秒 (日本時間)
4511e6400Dmitry DomanovFebruary 20, 2012 06:54:17 UTC 2012 年 2 月 20 日 (月) 15 時 54 分 17 秒 (日本時間)
5043e61100200Dmitry DomanovMarch 22, 2012 20:01:35 UTC 2012 年 3 月 23 日 (金) 5 時 1 分 35 秒 (日本時間)
240Dmitry DomanovMarch 22, 2012 20:02:34 UTC 2012 年 3 月 23 日 (金) 5 時 2 分 34 秒 (日本時間)
660Dmitry DomanovApril 20, 2012 19:59:49 UTC 2012 年 4 月 21 日 (土) 4 時 59 分 49 秒 (日本時間)
5511e72635 / 17344yoyo@homeMarch 22, 2013 19:00:25 UTC 2013 年 3 月 23 日 (土) 4 時 0 分 25 秒 (日本時間)

8×10243+9

c210

name 名前Dmitry Domanov
date 日付February 12, 2012 20:38:17 UTC 2012 年 2 月 13 日 (月) 5 時 38 分 17 秒 (日本時間)
composite number 合成数
591968715288275455233333744122727988760129929642128335693706565839680236409797637616486186552914309380097814883596431791904978511440512474945554655919174435044916118771326603045268630463835859547800073995920849<210>
prime factors 素因数
6465997216564184256954404085137216749<37>
91551031567382568528943953276119152435814275306082844023718990435531349558797793032582721964905246782053452815055552293465702294939345147691461893578522295634853347208870901<173>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1033817814
Step 1 took 27850ms
Step 2 took 10258ms
********** Factor found in step 2: 6465997216564184256954404085137216749
Found probable prime factor of 37 digits: 6465997216564184256954404085137216749

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 10, 2012 01:00:00 UTC 2012 年 2 月 10 日 (金) 10 時 0 分 0 秒 (日本時間)

8×10244+9

c238

composite cofactor 合成数の残り
1451114202669611170865776997013842776963874022173496628907526314459603891895547130910508317868234876111397030994946839428826213130113012229936083316882837637861064195278905147394113602398082309047746028749365749725136296354958931563477059<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 10, 2012 01:00:00 UTC 2012 年 2 月 10 日 (金) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 15, 2012 12:42:11 UTC 2012 年 2 月 15 日 (水) 21 時 42 分 11 秒 (日本時間)
4511e6400Dmitry DomanovFebruary 20, 2012 06:57:27 UTC 2012 年 2 月 20 日 (月) 15 時 57 分 27 秒 (日本時間)
5043e61130 / 7425200Dmitry DomanovMarch 24, 2012 20:19:51 UTC 2012 年 3 月 25 日 (日) 5 時 19 分 51 秒 (日本時間)
450Dmitry DomanovApril 3, 2012 12:37:28 UTC 2012 年 4 月 3 日 (火) 21 時 37 分 28 秒 (日本時間)
480Dmitry DomanovApril 20, 2012 19:55:15 UTC 2012 年 4 月 21 日 (土) 4 時 55 分 15 秒 (日本時間)

8×10245+9

c220

composite cofactor 合成数の残り
2465250489236241911749272724623436021421476910999205156183998661464191580088334236160378723082046962518284662777734924615789102044228384959325959422066759908051570673458986258138595385870606737995108985952563980670888781<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 10, 2012 01:00:00 UTC 2012 年 2 月 10 日 (金) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 15, 2012 12:42:19 UTC 2012 年 2 月 15 日 (水) 21 時 42 分 19 秒 (日本時間)
4511e6400 / 3552Dmitry DomanovFebruary 20, 2012 06:57:42 UTC 2012 年 2 月 20 日 (月) 15 時 57 分 42 秒 (日本時間)
5043e6200 / 7425Dmitry DomanovMarch 24, 2012 20:20:29 UTC 2012 年 3 月 25 日 (日) 5 時 20 分 29 秒 (日本時間)

8×10246+9

c243

composite cofactor 合成数の残り
618668316448843863583636223029928079808212821900858402289072770860722295259454025210733895290387441033176088469569252184672492459979893279715412574433531822751527337406233083288222101925605134947026525404067744180651148403062408166421777124739<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 10, 2012 01:00:00 UTC 2012 年 2 月 10 日 (金) 10 時 0 分 0 秒 (日本時間)
403e60--
4511e61169769Lionel DebrouxFebruary 14, 2012 06:28:59 UTC 2012 年 2 月 14 日 (火) 15 時 28 分 59 秒 (日本時間)
400Dmitry DomanovFebruary 20, 2012 06:58:22 UTC 2012 年 2 月 20 日 (月) 15 時 58 分 22 秒 (日本時間)
5043e6960400Dmitry DomanovMarch 7, 2012 06:59:13 UTC 2012 年 3 月 7 日 (水) 15 時 59 分 13 秒 (日本時間)
560Dmitry DomanovApril 3, 2012 12:35:45 UTC 2012 年 4 月 3 日 (火) 21 時 35 分 45 秒 (日本時間)
5511e72640 / 17354yoyo@homeMarch 22, 2013 20:20:13 UTC 2013 年 3 月 23 日 (土) 5 時 20 分 13 秒 (日本時間)

8×10247+9

c230

composite cofactor 合成数の残り
10732500483199843214310090667681040585071169167671173097042442950216655723086380110162406835061115253077587465086091985147904858010618534245701589973701454390537805539283359622463895623772331295809314078116081465745702764986483789<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 10, 2012 01:00:00 UTC 2012 年 2 月 10 日 (金) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 15, 2012 12:42:38 UTC 2012 年 2 月 15 日 (水) 21 時 42 分 38 秒 (日本時間)
4511e6400 / 3552Dmitry DomanovFebruary 20, 2012 06:58:09 UTC 2012 年 2 月 20 日 (月) 15 時 58 分 9 秒 (日本時間)
5043e6200 / 7425Dmitry DomanovMarch 24, 2012 20:20:52 UTC 2012 年 3 月 25 日 (日) 5 時 20 分 52 秒 (日本時間)

8×10248+9

c237

name 名前Dmitry Domanov
date 日付February 20, 2012 20:25:36 UTC 2012 年 2 月 21 日 (火) 5 時 25 分 36 秒 (日本時間)
composite number 合成数
472367364481324943429608990380363865230376899949857658144588096283146783114430372207621802600829155058766951167631153619328587819346877117165453306904995816614534365740792256712736351604580048562330248528078693598071309876495244264859329<237>
prime factors 素因数
27843756176184596343816216693680157949129<41>
16964929641402031484471752802607139329320652613692946352138948417078402310214568032840824375974537448641405786773185222741765251364543040363291268448358707370559046918064739956586348204034233183801<197>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=772582183
Step 1 took 180378ms
Step 2 took 52009ms
********** Factor found in step 2: 27843756176184596343816216693680157949129
Found probable prime factor of 41 digits: 27843756176184596343816216693680157949129

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 10, 2012 01:00:00 UTC 2012 年 2 月 10 日 (金) 10 時 0 分 0 秒 (日本時間)
403e61384384Lionel DebrouxFebruary 12, 2012 16:53:07 UTC 2012 年 2 月 13 日 (月) 1 時 53 分 7 秒 (日本時間)
1000Dmitry DomanovFebruary 15, 2012 12:42:48 UTC 2012 年 2 月 15 日 (水) 21 時 42 分 48 秒 (日本時間)
4511e6400 / 4169Dmitry DomanovFebruary 20, 2012 06:58:30 UTC 2012 年 2 月 20 日 (月) 15 時 58 分 30 秒 (日本時間)

8×10249+9

c217

name 名前Serge Batalov
date 日付February 11, 2012 02:53:08 UTC 2012 年 2 月 11 日 (土) 11 時 53 分 8 秒 (日本時間)
composite number 合成数
2391315986102182709795298334432284084778675481526951664027811977129710338958856329828110353102985193004610640119883118044170997597965872675101187586440259023770373840967763015806424926027840494675301095333031505905563<217>
prime factors 素因数
855172384165830207922737623016194638141<39>
2796297016109528852840182884344800871773241303133174528381044771283864808463222113764910177269249183601033354986677485176923154255571574379037217534947912774779362747034434095543<178>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=437158316
Step 1 took 13041ms
Step 2 took 7812ms
********** Factor found in step 2: 855172384165830207922737623016194638141
Found probable prime factor of 39 digits: 855172384165830207922737623016194638141
Probable prime cofactor 279629701610... has 178 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 10, 2012 01:00:00 UTC 2012 年 2 月 10 日 (金) 10 時 0 分 0 秒 (日本時間)

8×10250+9

c233

name 名前Dmitry Domanov
date 日付February 11, 2012 08:33:14 UTC 2012 年 2 月 11 日 (土) 17 時 33 分 14 秒 (日本時間)
composite number 合成数
29679350442397332027698354171775484794774585294894992255509196520519921501059086809333715378494855870262435014605101691996057442923506920647821787445178147355150969521218506443637020072069653861902538055145714125309365659160977495017<233>
prime factors 素因数
29891995098586150970910393267089003<35>
composite cofactor 合成数の残り
992886234074122515353298993941105982392461559338069233098139887520588915561417788164051405411357242464659765868852415446248409587470476151039272593588419936406241337062431780810397692898421728441339<198>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1435481880
Step 1 took 35380ms
Step 2 took 12132ms
********** Factor found in step 2: 29891995098586150970910393267089003
Found probable prime factor of 35 digits: 29891995098586150970910393267089003

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 10, 2012 01:00:00 UTC 2012 年 2 月 10 日 (金) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 15, 2012 12:42:56 UTC 2012 年 2 月 15 日 (水) 21 時 42 分 56 秒 (日本時間)
4511e6400Dmitry DomanovFebruary 20, 2012 06:58:42 UTC 2012 年 2 月 20 日 (月) 15 時 58 分 42 秒 (日本時間)
5043e61100 / 7425800Dmitry DomanovFebruary 21, 2012 06:45:07 UTC 2012 年 2 月 21 日 (火) 15 時 45 分 7 秒 (日本時間)
300Dmitry DomanovFebruary 27, 2012 09:12:20 UTC 2012 年 2 月 27 日 (月) 18 時 12 分 20 秒 (日本時間)

8×10251+9

c198

composite cofactor 合成数の残り
102684301372156201847045961976064972493080947636408335794459682768113158565465918420878170823702035961114999516029089233597441182470514901528385254003719152103980730010939929766462539431964208236649<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

8×10252+9

c248

composite cofactor 合成数の残り
81028248473123942834570702211058330210369590098348036584254185615460189808672048292836089981869929404138517790764805380275698615429804215494626814273125968540782530309629194477924866556603295824006644316374796163312434797581306783077250306388064539<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

8×10253+9

c213

composite cofactor 合成数の残り
511479136462504352133559667322721378536566067654851954018290898592804177360523586243888587030828705752733306652934238479018399841628717459168366036565485165581752869452829803869527948607030632716115688574587757747<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

8×10255+9

c221

composite cofactor 合成数の残り
18083537856295401742381261932548083891045021252247103291300066104036001605395518573896984335924350662211459962666854166104380385661570862895948586569722272075677771256786804672834364137816416754629822296322433692834163929<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

8×10258+9

c252

composite cofactor 合成数の残り
140736344163411361725987710093193671980278756828725329292699068172350863939075518084347548331543372276076645787081286726358462399849158786325655702502086372322115022371537228430972192064085138732874344030098859717196297698251813594501051045406276886689<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

8×10259+9

c193

composite cofactor 合成数の残り
6804233631874665147955958920576337910900947466854483545440264208664966723244426862318157564050490551656322439626197997075307883024875854412870240584977809224464319099589459886576161960967017129<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

8×10262+9

c219

composite cofactor 合成数の残り
115986014900161978808737818718023075545843424834052940443465270509750864962308187364914227418324765293122054375380438716946431230282613176457362910703374706041014963916448409405309973551317778327401505484994576706968939<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

8×10265+9

c222

composite cofactor 合成数の残り
274003967708664762453426535719989792865946339730094456782131890718927007588073103717334615068207583977592373186584454665718483264070232194331491025021242465758889265377227637203244881330494946995447353254575868347522846569<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

8×10266+9

c210

composite cofactor 合成数の残り
258845674648453320725043671526639513693764536682408555586534339176385475476720918791305800086181233087867483455270508766822586455796063062965241740058611051434515923117105457435532655933295902574184451998536761<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

8×10267+9

c260

composite cofactor 合成数の残り
67582613261004618418385897245485589143954776215762426366525297637841519126711663790083131767485296832256769055536612242923236601297074236315836563648489953941688758226166245912804185857559285516950517725479103916386250212578998055825620840707265226385999227649<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

8×10268+9

c208

composite cofactor 合成数の残り
2216482783766257983539805306983084210450100057286595895444085042460641193564564652704989361340169501175620743625263838041528142811377610301518389549064332297411312443044331684845145963879759558355737253892393<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

8×10269+9

c244

composite cofactor 合成数の残り
1502184626370434394994043787341538340598103784157325247759033685589405423279233398078434396436404843165277914285809282987605031295399364078896818277968841993967189727050270908020201810327709259544605038618994847330592500207828218047344351954929<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

8×10270+9

c264

composite cofactor 合成数の残り
414538636892290892332242561272567289077430272917211504296977966701458549012172564351034841298805512099527824947380797212725113263614498136467466515512061701174330959253287407979547492733008151954111816511934075091497745194810618800995701078883438108837430020048643<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

8×10271+9

c267

composite cofactor 合成数の残り
145051828831589387282943536762479443436132773191520995345649442366375535558549264133940858743089640217070061846473518068925002765050487102172695081111169534764390501280988963368973776442495109033646584845347553247619790146266637898053948401438188882865208774910385167<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

8×10272+9

c178

composite cofactor 合成数の残り
1401352325795551288549846652752430957715673380221281954515654958323751716746498063595338426545488227242679135262105971292831868752992856326855856124238549700483241093920872402153<178>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e62000Dmitry DomanovApril 10, 2019 15:28:10 UTC 2019 年 4 月 11 日 (木) 0 時 28 分 10 秒 (日本時間)
5043e6600 / 6996Dmitry DomanovApril 11, 2019 21:38:01 UTC 2019 年 4 月 12 日 (金) 6 時 38 分 1 秒 (日本時間)

8×10275+9

c260

composite cofactor 合成数の残り
63683915596943802392021966795608217735323461804717085508841548477179704047321138701686641203451807278177822308050603030591320525443949064267538276089988173401788994534915129538073433952155917163289589472503631371413315442571186183805285543943962956193728176227<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

8×10276+9

c235

composite cofactor 合成数の残り
2871906847080256809655500634106067341503563207725154793665510104029851737214071826355798741582135680213976581795836083758387818202837813892553842899129373021434980149743433336143222749085334135714941553761197988732588143079693792353507<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

8×10280+9

c256

composite cofactor 合成数の残り
9805842208230142583482758160930833940866788664196752969256842033988953894766592756339679389749669988323697209449707823276484223553258971237834280487719074481666270029944997299749759982977807637928075212992113444637114835945203814597259101978706531154720043<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

8×10281+9

c210

composite cofactor 合成数の残り
108717560170742700351476334602169119441146914427946053122027441545088077095481352532470311325150933019394571750953167273481033700802591971141377113629638221642338534003660734314808715741647468873313162385320901<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

8×10282+9

c230

composite cofactor 合成数の残り
35397223412951580065388124581554161706823836158921673513822527387701246999216925919237191228358981550865099688836646939771886300255411156895519082238505590240642900318494239643014482920762938343731151723191118209438332807383871019<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

8×10283+9

c248

composite cofactor 合成数の残り
27262172312296697052601020862941798216177641942008495648026293278140057386727482215189680449103827108006752435032520433607812895348648905445713747302936369777569506463459106300095153351510270555988663993737591449313668120715096333060406227900920869<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

8×10284+9

c265

composite cofactor 合成数の残り
1078121389030458468198924584957606887166452929258876656005639328143079558950932848754397447760746935757867501087408686042558086583887728803114750731706494253244607178594486922081448566803484158374241384121528922013246294552067167944167930471241412736264229402420113<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

8×10285+9

c192

composite cofactor 合成数の残り
268653133235564954818119206475755415769539980685895885259029306936369112716693853614080771085510630778180807661014222264497704437767829395377288472519102742821172937082961917058192707939325867<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e62000Dmitry DomanovApril 10, 2019 11:55:43 UTC 2019 年 4 月 10 日 (水) 20 時 55 分 43 秒 (日本時間)
5043e6600 / 6996Dmitry DomanovApril 13, 2019 23:43:09 UTC 2019 年 4 月 14 日 (日) 8 時 43 分 9 秒 (日本時間)

8×10286+9

c250

composite cofactor 合成数の残り
6478628707001005187672122642099595289244909114700611752196001881067352236969709725860125218261876016965743450965178319004759139465670774077313310404328474578901988587148959971428904023843256696954041729757551935880532204101648134265635647162303124811<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

8×10287+9

c243

composite cofactor 合成数の残り
381847036244830724273510727671228019851037387256698917509398084885610402364357777772573614809452467825538018972731973413944641766597795881939714642596080642543749728098456644210203127410191828917943280311338980456882092982899396180822367273483<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

8×10288+9

c281

composite cofactor 合成数の残り
18064701397113393040679013647703516592871947476718105580235713688401708179196174575476863914817562514440329548837853613509656229838875892703631202111873788001078038152924837399792081157947178907954522773594368027658936567925904538155800512053445069412610269392998326321222171166609<281>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

8×10290+9

c284

composite cofactor 合成数の残り
16131576558939931191163477255697002371966852755828807434688741331117607521041070651123059187339164400869112884477727202820719082366559548293272142499410743755007972325957781607369242935231498306678490843424760320564269642770471641121945503622476585369502935916687021019464420769429017<284>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

8×10291+9

c273

composite cofactor 合成数の残り
162908873015718798295703780999506855473645477335122249997369596487370814281810293769332705602763673144417312710287249011258470411132918229369055710237129121438702349527093953823057834164463065970118621027241155925648447770264314326071082221648782740312133436401612647854849<273>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

8×10292+9

c270

composite cofactor 合成数の残り
610194187429841111643250878989816969556860429146074598274227692328920868313756730214059082012367776021240952987086379620297755403009116942286918506041325926792016375518825749598725304921842285430925084818758152782453121844621519649740515157636187717781686674619934027043<270>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

8×10296+9

c231

composite cofactor 合成数の残り
446855905349199722169586936541050679107139611658690309801308810252196384066688936469946621413597868344606815299356279759389431356908977705419243877709157445862061649296573396255136450557993834169552766020125525018415789590603778803<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

8×10297+9

c291

composite cofactor 合成数の残り
714456609755136965350908489628903199256322114905877932766239353145274659894094310594471659783621457311083606516237232102214449331228425084893073977248665104804979691124332329134799297081864492408496639508682478603587411667487249851995847935412408021525863195312521629057521884029224490393729<291>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)

8×10300+9

c292

composite cofactor 合成数の残り
7723393437453642442757077564967706083304678015092095823837304446562368410572443990513151170849598466036748564394694973665656420094978759041307259719608978530986876686947818339410689807711764517039704429672079302205073332447698244021722032457748213189790616515855325907735281960429496866398683<292>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerApril 8, 2019 00:00:00 UTC 2019 年 4 月 8 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e62000Dmitry DomanovApril 10, 2019 13:18:14 UTC 2019 年 4 月 10 日 (水) 22 時 18 分 14 秒 (日本時間)
5043e6600 / 6996Dmitry DomanovApril 12, 2019 23:24:57 UTC 2019 年 4 月 13 日 (土) 8 時 24 分 57 秒 (日本時間)