Table of contents 目次

99×10105-1

c100

name 名前KTakahashi
date 日付November 17, 2014 22:32:41 UTC 2014 年 11 月 18 日 (火) 7 時 32 分 41 秒 (日本時間)
composite number 合成数
4137139228400131903699601234104452903245811386819634394737993510040439909118334259035647890002577981<100>
prime factors 素因数
555292138262930907401372452330416503298256707959<48>
7450383218717920842441569641940245058094686584487659<52>
factorization results 素因数分解の結果
Number: 98999_105
N=4137139228400131903699601234104452903245811386819634394737993510040439909118334259035647890002577981
  ( 100 digits)
SNFS difficulty: 106 digits.
Divisors found:
 r1=555292138262930907401372452330416503298256707959 (pp48)
 r2=7450383218717920842441569641940245058094686584487659 (pp52)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 0.53 hours.
Scaled time: 1.08 units (timescale=2.048).
Factorization parameters were as follows:
n: 4137139228400131903699601234104452903245811386819634394737993510040439909118334259035647890002577981
m: 100000000000000000000000000
deg: 4
c4: 990
c0: -1
skew: 0.18
# Murphy_E = 1.749e-07
type: snfs
lss: 1
rlim: 420000
alim: 420000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2Factor base limits: 420000/420000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [210000, 350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 39466 x 39691
Total sieving time: 0.51 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,106.000,4,0,0,0,0,0,0,0,0,420000,420000,25,25,44,44,2.2,2.2,20000
total time: 0.53 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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:30 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 30 秒 (日本時間)

99×10115-1

c117

name 名前Serge Batalov
date 日付November 17, 2014 22:55:24 UTC 2014 年 11 月 18 日 (火) 7 時 55 分 24 秒 (日本時間)
composite number 合成数
989999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<117>
prime factors 素因数
560706659120988343238435747484648610765014407<45>
1765629110865222414101674413967631800131673578817058108717085389085888457<73>
factorization results 素因数分解の結果
Divisors found:
 r1=560706659120988343238435747484648610765014407 (pp45)
 r2=1765629110865222414101674413967631800131673578817058108717085389085888457 (pp73)
Version: Msieve v. 1.51 (SVN 719M)
Total time: 0.41 hours.
Scaled time: 0.97 units (timescale=2.400).
Factorization parameters were as follows:
n: 989999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
m: 100000000000000000000000
deg: 5
c5: 99
c0: -1
skew: 0.40
# Murphy_E = 3.18e-08
type: snfs
lss: 1
rlim: 620000
alim: 620000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 620000/620000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [310000, 660001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 61911 x 62137
Total sieving time: 0.38 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,116.000,5,0,0,0,0,0,0,0,0,620000,620000,25,25,45,45,2.2,2.2,50000
total time: 0.41 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:31 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 31 秒 (日本時間)

99×10118-1

c117

name 名前Dmitry Domanov
date 日付November 18, 2014 07:42:34 UTC 2014 年 11 月 18 日 (火) 16 時 42 分 34 秒 (日本時間)
composite number 合成数
356499819949585884047533309326611451206337774576881526827511703276917536910334893770255671588044652502700756211739287<117>
prime factors 素因数
30161024764586692190135764567739344119823137127456709<53>
11819884195982859354196212578695370605409139731956107860896451243<65>
factorization results 素因数分解の結果
N=356499819949585884047533309326611451206337774576881526827511703276917536910334893770255671588044652502700756211739287
  ( 117 digits)
SNFS difficulty: 119 digits.
Divisors found:
 r1=30161024764586692190135764567739344119823137127456709 (pp53)
 r2=11819884195982859354196212578695370605409139731956107860896451243 (pp65)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 1.47 hours.
Scaled time: 2.85 units (timescale=1.935).
Factorization parameters were as follows:
n: 356499819949585884047533309326611451206337774576881526827511703276917536910334893770255671588044652502700756211739287
m: 100000000000000000000000
deg: 5
c5: 99000
c0: -1
skew: 0.10
# Murphy_E = 1.49e-08
type: snfs
lss: 1
rlim: 700000
alim: 700000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [350000, 1200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 85115 x 85340
Total sieving time: 1.43 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,119.000,5,0,0,0,0,0,0,0,0,700000,700000,25,25,45,45,2.2,2.2,50000
total time: 1.47 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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:31 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 31 秒 (日本時間)

99×10123-1

c103

name 名前Dmitry Domanov
date 日付November 18, 2014 08:43:55 UTC 2014 年 11 月 18 日 (火) 17 時 43 分 55 秒 (日本時間)
composite number 合成数
9216220591602661110808599098364426720284345601619257049563368334420977331802880974532015622966600954467<103>
prime factors 素因数
401042310292193707625012067431107787578950697<45>
22980669009431583987334331785812187972565321652469161194411<59>
factorization results 素因数分解の結果
N=9216220591602661110808599098364426720284345601619257049563368334420977331802880974532015622966600954467
  ( 103 digits)
SNFS difficulty: 124 digits.
Divisors found:
 r1=401042310292193707625012067431107787578950697 (pp45)
 r2=22980669009431583987334331785812187972565321652469161194411 (pp59)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 1.77 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 9216220591602661110808599098364426720284345601619257049563368334420977331802880974532015622966600954467
m: 1000000000000000000000000
deg: 5
c5: 99000
c0: -1
skew: 0.10
# Murphy_E = 9.951e-09
type: snfs
lss: 1
rlim: 850000
alim: 850000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 850000/850000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [425000, 825001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 98496 x 98721
Total sieving time: 1.72 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,124.000,5,0,0,0,0,0,0,0,0,850000,850000,25,25,46,46,2.2,2.2,50000
total time: 1.77 hours.
 --------- CPU info (if available) ----------
[    0.074811] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49295964k/51380224k available (5351k kernel code, 1057796k absent, 1026464k reserved, 7000k data, 1344k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.38 BogoMIPS (lpj=2400194)
[    0.709831] Total of 16 processors activated (76642.81 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:32 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 32 秒 (日本時間)

99×10124-1

c116

name 名前Dmitry Domanov
date 日付November 18, 2014 09:31:38 UTC 2014 年 11 月 18 日 (火) 18 時 31 分 38 秒 (日本時間)
composite number 合成数
72303831527247611890825823434462188410803719983725026853005806058070899269127535367877298404941740887941639005050839<116>
prime factors 素因数
15085293607912247876871293078075445202963319<44>
4793001277040056927544601227163822689673370199677857093370265968933138081<73>
factorization results 素因数分解の結果
N=72303831527247611890825823434462188410803719983725026853005806058070899269127535367877298404941740887941639005050839
  ( 116 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=15085293607912247876871293078075445202963319 (pp44)
 r2=4793001277040056927544601227163822689673370199677857093370265968933138081 (pp73)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 1.62 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 72303831527247611890825823434462188410803719983725026853005806058070899269127535367877298404941740887941639005050839
m: 10000000000000000000000000
deg: 5
c5: 99
c0: -10
skew: 0.63
# Murphy_E = 1.047e-08
type: snfs
lss: 1
rlim: 920000
alim: 920000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3

Factor base limits: 920000/920000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [460000, 760001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 104218 x 104443
Total sieving time: 1.51 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,126.000,5,0,0,0,0,0,0,0,0,920000,920000,26,26,46,46,2.3,2.3,50000
total time: 1.62 hours.
 --------- CPU info (if available) ----------
[    0.074811] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49295964k/51380224k available (5351k kernel code, 1057796k absent, 1026464k reserved, 7000k data, 1344k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.38 BogoMIPS (lpj=2400194)
[    0.709831] Total of 16 processors activated (76642.81 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:32 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 32 秒 (日本時間)

99×10127-1

c123

name 名前Dmitry Domanov
date 日付November 18, 2014 10:14:49 UTC 2014 年 11 月 18 日 (火) 19 時 14 分 49 秒 (日本時間)
composite number 合成数
181833843906848909483663514818815431485283121723432192782078015535222409423327739340633747883885682715370708698324979690629<123>
prime factors 素因数
2412880610879503469606110313849044393887808149566713<52>
75359652312250059403780220134141617808092788019545990994794891964330733<71>
factorization results 素因数分解の結果
N=181833843906848909483663514818815431485283121723432192782078015535222409423327739340633747883885682715370708698324979690629
  ( 123 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=2412880610879503469606110313849044393887808149566713 (pp52)
 r2=75359652312250059403780220134141617808092788019545990994794891964330733 (pp71)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 1.62 hours.
Scaled time: 2.55 units (timescale=1.568).
Factorization parameters were as follows:
n: 181833843906848909483663514818815431485283121723432192782078015535222409423327739340633747883885682715370708698324979690629
m: 10000000000000000000000000
deg: 5
c5: 9900
c0: -1
skew: 0.16
# Murphy_E = 8.148e-09
type: snfs
lss: 1
rlim: 990000
alim: 990000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 990000/990000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [495000, 845001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 122820 x 123048
Total sieving time: 1.53 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,128.000,5,0,0,0,0,0,0,0,0,990000,990000,26,26,47,47,2.3,2.3,50000
total time: 1.62 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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:33 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 33 秒 (日本時間)

99×10135-1

c137

name 名前Serge Batalov
date 日付November 19, 2014 01:41:20 UTC 2014 年 11 月 19 日 (水) 10 時 41 分 20 秒 (日本時間)
composite number 合成数
98999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<137>
prime factors 素因数
262404365291965580302172370965187288600853973<45>
377280308922632196567388770902870661207387193971801681623396845291194321333374629190436088963<93>
factorization results 素因数分解の結果
Divisors found:
 r1=262404365291965580302172370965187288600853973 (pp45)
 r2=377280308922632196567388770902870661207387193971801681623396845291194321333374629190436088963 (pp93)
Version: Msieve v. 1.51 (SVN 719M)
Total time: 1.92 hours.
Scaled time: 4.62 units (timescale=2.400).
Factorization parameters were as follows:
n: 98999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
m: 1000000000000000000000000000
deg: 5
c5: 99
c0: -1
skew: 0.40
# Murphy_E = 6.145e-09
type: snfs
lss: 1
rlim: 1340000
alim: 1340000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1340000/1340000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [670000, 1270001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 151309 x 151535
Total sieving time: 1.86 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,136.000,5,0,0,0,0,0,0,0,0,1340000,1340000,26,26,48,48,2.3,2.3,75000
total time: 1.92 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:33 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 33 秒 (日本時間)

99×10138-1

c124

name 名前Dmitry Domanov
date 日付November 19, 2014 12:10:35 UTC 2014 年 11 月 19 日 (水) 21 時 10 分 35 秒 (日本時間)
composite number 合成数
7007351362514097968896151180652586062893905772295786440183478344669928709365037539109220542807346657550424345743049323292381<124>
prime factors 素因数
31514111246598654233375999381223680478900331<44>
222355988645258322795258740713234048010983382640876734082073132307180598508910551<81>
factorization results 素因数分解の結果
N=7007351362514097968896151180652586062893905772295786440183478344669928709365037539109220542807346657550424345743049323292381
  ( 124 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=31514111246598654233375999381223680478900331 (pp44)
 r2=222355988645258322795258740713234048010983382640876734082073132307180598508910551 (pp81)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 4.79 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 7007351362514097968896151180652586062893905772295786440183478344669928709365037539109220542807346657550424345743049323292381
m: 1000000000000000000000000000
deg: 5
c5: 99000
c0: -1
skew: 0.10
# Murphy_E = 2.86e-09
type: snfs
lss: 1
rlim: 1510000
alim: 1510000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3

Factor base limits: 1510000/1510000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [755000, 1655001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 226957 x 227183
Total sieving time: 4.61 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,139.000,5,0,0,0,0,0,0,0,0,1510000,1510000,26,26,48,48,2.3,2.3,75000
total time: 4.79 hours.
 --------- CPU info (if available) ----------
[    0.074811] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49295964k/51380224k available (5351k kernel code, 1057796k absent, 1026464k reserved, 7000k data, 1344k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.38 BogoMIPS (lpj=2400194)
[    0.709831] Total of 16 processors activated (76642.81 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:33 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 33 秒 (日本時間)
403e6560 / 2073232Pierre JammesNovember 18, 2014 18:19:49 UTC 2014 年 11 月 19 日 (水) 3 時 19 分 49 秒 (日本時間)
328Pierre JammesNovember 18, 2014 20:47:14 UTC 2014 年 11 月 19 日 (水) 5 時 47 分 14 秒 (日本時間)

99×10139-1

c131

name 名前Dmitry Domanov
date 日付November 19, 2014 20:34:07 UTC 2014 年 11 月 20 日 (木) 5 時 34 分 7 秒 (日本時間)
composite number 合成数
47336011220454274644638452270097390982365325761213412313809766472929143450766383168160452750842972848659393591598081090080427009631<131>
prime factors 素因数
104316935510646145190089280853781768937774710876226589611<57>
453771106184607594853375459829626605338905150926682527338601453839446049821<75>
factorization results 素因数分解の結果
N=47336011220454274644638452270097390982365325761213412313809766472929143450766383168160452750842972848659393591598081090080427009631
  ( 131 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=104316935510646145190089280853781768937774710876226589611 (pp57)
 r2=453771106184607594853375459829626605338905150926682527338601453839446049821 (pp75)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 4.25 hours.
Scaled time: 3.34 units (timescale=0.787).
Factorization parameters were as follows:
n: 47336011220454274644638452270097390982365325761213412313809766472929143450766383168160452750842972848659393591598081090080427009631
m: 5000000000000000000000000000
deg: 5
c5: 1584
c0: -5
skew: 0.32
# Murphy_E = 2.979e-09
type: snfs
lss: 1
rlim: 1610000
alim: 1610000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1610000/1610000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [805000, 1605001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 228343 x 228571
Total sieving time: 4.03 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,141.000,5,0,0,0,0,0,0,0,0,1610000,1610000,26,26,48,48,2.3,2.3,100000
total time: 4.25 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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:34 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 34 秒 (日本時間)

99×10141-1

c130

name 名前Dmitry Domanov
date 日付November 19, 2014 23:20:15 UTC 2014 年 11 月 20 日 (木) 8 時 20 分 15 秒 (日本時間)
composite number 合成数
9665104225506719884247177858337786238296376235582643755745198713590481441008581356728452449259844071112877890526866034068853968697<130>
prime factors 素因数
34796517027738134151891480361386588165613466067913<50>
277760679834770729635662346726758511173556996301979567878857136764919180528297969<81>
factorization results 素因数分解の結果
N=9665104225506719884247177858337786238296376235582643755745198713590481441008581356728452449259844071112877890526866034068853968697
  ( 130 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=34796517027738134151891480361386588165613466067913 (pp50)
 r2=277760679834770729635662346726758511173556996301979567878857136764919180528297969 (pp81)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 4.53 hours.
Scaled time: 9.08 units (timescale=2.006).
Factorization parameters were as follows:
n: 9665104225506719884247177858337786238296376235582643755745198713590481441008581356728452449259844071112877890526866034068853968697
m: 10000000000000000000000000000
deg: 5
c5: 990
c0: -1
skew: 0.25
# Murphy_E = 2.686e-09
type: snfs
lss: 1
rlim: 1690000
alim: 1690000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1690000/1690000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [845000, 1845001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 238654 x 238882
Total sieving time: 4.39 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,142.000,5,0,0,0,0,0,0,0,0,1690000,1690000,26,26,48,48,2.3,2.3,100000
total time: 4.53 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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:34 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 34 秒 (日本時間)

99×10142-1

c106

name 名前Serge Batalov
date 日付November 18, 2014 06:24:07 UTC 2014 年 11 月 18 日 (火) 15 時 24 分 7 秒 (日本時間)
composite number 合成数
1036227995707020486203112409413208583247123802176592251767381587128144109168349511025648117443457420813567<106>
prime factors 素因数
132218552713196640838319922351522311<36>
7837235958517607477134255226809182532388962776647361577137390651975497<70>
factorization results 素因数分解の結果
Input number is 1036227995707020486203112409413208583247123802176592251767381587128144109168349511025648117443457420813567 (106 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=877435454
Step 1 took 2042ms
Step 2 took 1707ms
********** Factor found in step 2: 132218552713196640838319922351522311
Found probable prime factor of 36 digits: 132218552713196640838319922351522311
Probable prime cofactor 7837235958517607477134255226809182532388962776647361577137390651975497 has 70 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:35 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 35 秒 (日本時間)

99×10147-1

c134

name 名前Serge Batalov
date 日付November 18, 2014 06:33:38 UTC 2014 年 11 月 18 日 (火) 15 時 33 分 38 秒 (日本時間)
composite number 合成数
59743931068908005050100274377294813962515302420709260522984181958011529117151161735375823150234363613946248001875466706044654793423359<134>
prime factors 素因数
109750011930446387041774184229005747<36>
composite cofactor 合成数の残り
544363777443327045238694100441149919845601308808041132686875684268500556479934955393203332681969797<99>
factorization results 素因数分解の結果
Input number is 59743931068908005050100274377294813962515302420709260522984181958011529117151161735375823150234363613946248001875466706044654793423359 (134 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=2800345819
Step 1 took 2541ms
Step 2 took 2035ms
********** Factor found in step 2: 109750011930446387041774184229005747
Found probable prime factor of 36 digits: 109750011930446387041774184229005747
Composite cofactor 544363777443327045238694100441149919845601308808041132686875684268500556479934955393203332681969797 has 99 digits

c99

name 名前KTakahashi
date 日付November 18, 2014 19:45:06 UTC 2014 年 11 月 19 日 (水) 4 時 45 分 6 秒 (日本時間)
composite number 合成数
544363777443327045238694100441149919845601308808041132686875684268500556479934955393203332681969797<99>
prime factors 素因数
6069710523740165424692661149090695578482137<43>
89685294762276275189720012728790575284038691593775319181<56>
factorization results 素因数分解の結果
Number: 98999_147
N=544363777443327045238694100441149919845601308808041132686875684268500556479934955393203332681969797
  ( 99 digits)
Divisors found:
 r1=6069710523740165424692661149090695578482137 (pp43)
 r2=89685294762276275189720012728790575284038691593775319181 (pp56)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 5.88 hours.
Scaled time: 10.25 units (timescale=1.742).
Factorization parameters were as follows:
name: 98999_147
n: 544363777443327045238694100441149919845601308808041132686875684268500556479934955393203332681969797
skew: 1958.71
# norm 2.76e+013
c5: 740880
c4: 1571844078
c3: -5460548691336
c2: -4325371577892601
c1: 8373069467258749198
c0: -25731995018867911360
# alpha -5.46
Y1: 4478855887
Y0: -3743070862241586391
# Murphy_E 4.16e-009
# M 84687922984246093568867714418113101072400164416494348491655221927358312617074406867463744366745969
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 159493 x 159718
Polynomial selection time: 0.33 hours.
Total sieving time: 5.38 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
gnfs,98,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 5.88 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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:35 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 35 秒 (日本時間)

99×10148-1

c149

name 名前Dmitry Domanov
date 日付November 20, 2014 22:20:24 UTC 2014 年 11 月 21 日 (金) 7 時 20 分 24 秒 (日本時間)
composite number 合成数
23023255813953488372093023255813953488372093023255813953488372093023255813953488372093023255813953488372093023255813953488372093023255813953488372093<149>
prime factors 素因数
3541995469869304637090288187483009599<37>
6500080536467489823398615494516881214459295459166995684875559935497422546780550092131122329520624564856081655107<112>
factorization results 素因数分解の結果
N=23023255813953488372093023255813953488372093023255813953488372093023255813953488372093023255813953488372093023255813953488372093023255813953488372093
  ( 149 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=3541995469869304637090288187483009599 (pp37)
 r2=6500080536467489823398615494516881214459295459166995684875559935497422546780550092131122329520624564856081655107 (pp112)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 9.05 hours.
Scaled time: 19.44 units (timescale=2.149).
Factorization parameters were as follows:
n: 23023255813953488372093023255813953488372093023255813953488372093023255813953488372093023255813953488372093023255813953488372093023255813953488372093
m: 100000000000000000000000000000
deg: 5
c5: 99000
c0: -1
skew: 0.10
# Murphy_E = 1.211e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1100000, 2900001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 401285 x 401510
Total sieving time: 8.81 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,149.000,5,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000
total time: 9.05 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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:35 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 35 秒 (日本時間)

99×10149-1

c139

name 名前Serge Batalov
date 日付November 18, 2014 06:35:23 UTC 2014 年 11 月 18 日 (火) 15 時 35 分 23 秒 (日本時間)
composite number 合成数
4191218099592960941823250727321254079465490703576874981477309298293586404246964139507957737524576754262169961475751278153321607413217691701<139>
prime factors 素因数
268768589088601326991747934611901<33>
15594151510805075605972505024520731111927387189309602854507289799834123419353679314456411822854941831459801<107>
factorization results 素因数分解の結果
Input number is 4191218099592960941823250727321254079465490703576874981477309298293586404246964139507957737524576754262169961475751278153321607413217691701 (139 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=375295696
Step 1 took 3342ms
Step 2 took 2720ms
********** Factor found in step 2: 268768589088601326991747934611901
Found probable prime factor of 33 digits: 268768589088601326991747934611901
Probable prime cofactor 15594151510805075605972505024520731111927387189309602854507289799834123419353679314456411822854941831459801 has 107 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:36 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 36 秒 (日本時間)

99×10150-1

c125

name 名前Dmitry Domanov
date 日付November 26, 2014 23:35:04 UTC 2014 年 11 月 27 日 (木) 8 時 35 分 4 秒 (日本時間)
composite number 合成数
41863671792053121596404770487489272704676647479331501556438843596470706431869523311612279734261341677512172859045548337463639<125>
prime factors 素因数
814456831530076992950641173651529<33>
51400725208978914859327897476040923303488207735451408906730745424533488623962396650854290591<92>
factorization results 素因数分解の結果
N=41863671792053121596404770487489272704676647479331501556438843596470706431869523311612279734261341677512172859045548337463639
  ( 125 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=814456831530076992950641173651529 (pp33)
 r2=51400725208978914859327897476040923303488207735451408906730745424533488623962396650854290591 (pp92)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 7.23 hours.
Scaled time: 9.17 units (timescale=1.269).
Factorization parameters were as follows:
n: 41863671792053121596404770487489272704676647479331501556438843596470706431869523311612279734261341677512172859045548337463639
m: 1000000000000000000000000000000
deg: 5
c5: 99
c0: -1
skew: 0.40
# Murphy_E = 1.687e-09
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1200000, 1700001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 403911 x 404138
Total sieving time: 6.74 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.28 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,151.000,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,49,49,2.4,2.4,100000
total time: 7.23 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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:36 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 36 秒 (日本時間)

99×10151-1

c122

name 名前Serge Batalov
date 日付November 18, 2014 06:34:51 UTC 2014 年 11 月 18 日 (火) 15 時 34 分 51 秒 (日本時間)
composite number 合成数
43761202327330223039992573408004854405800969488376243562549581675840860574799184638534569147977509258514425069607781660821<122>
prime factors 素因数
9054024773611831482092170422949<31>
4833342455045327272406744189876354844346323919436552317863959695744450401323824719207719729<91>
factorization results 素因数分解の結果
Input number is 43761202327330223039992573408004854405800969488376243562549581675840860574799184638534569147977509258514425069607781660821 (122 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=2717580204
Step 1 took 2518ms
********** Factor found in step 1: 9054024773611831482092170422949
Found probable prime factor of 31 digits: 9054024773611831482092170422949
Probable prime cofactor 4833342455045327272406744189876354844346323919436552317863959695744450401323824719207719729 has 91 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:37 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 37 秒 (日本時間)

99×10152-1

c147

name 名前Dmitry Domanov
date 日付November 24, 2014 22:37:21 UTC 2014 年 11 月 25 日 (火) 7 時 37 分 21 秒 (日本時間)
composite number 合成数
700700070147862578136020322283812264190538892852838051156342676873861318149894183672739943237632095234057533987315346952347511562789768674842397337<147>
prime factors 素因数
368650567765221905021809995409711173080267079782425993<54>
1900716101959482356333813508815957553753218077991991539851289636887378049743178804493314033809<94>
factorization results 素因数分解の結果
N=700700070147862578136020322283812264190538892852838051156342676873861318149894183672739943237632095234057533987315346952347511562789768674842397337
  ( 147 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=368650567765221905021809995409711173080267079782425993 (pp54)
 r2=1900716101959482356333813508815957553753218077991991539851289636887378049743178804493314033809 (pp94)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 11.84 hours.
Scaled time: 14.99 units (timescale=1.266).
Factorization parameters were as follows:
n: 700700070147862578136020322283812264190538892852838051156342676873861318149894183672739943237632095234057533987315346952347511562789768674842397337
m: 1000000000000000000000000000000
deg: 5
c5: 9900
c0: -1
skew: 0.16
# Murphy_E = 9.669e-10
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 2100001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 467429 x 467656
Total sieving time: 11.39 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.32 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,153.000,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 11.84 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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:37 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 37 秒 (日本時間)

99×10154-1

c134

name 名前Serge Batalov
date 日付November 18, 2014 06:35:27 UTC 2014 年 11 月 18 日 (火) 15 時 35 分 27 秒 (日本時間)
composite number 合成数
10521195447124113281335732716765566718018776911085689409560877641355325783919059502031663639272017915290965148000703995543560845863987<134>
prime factors 素因数
1445082915134457103379756626261333<34>
7280686344662218420052320964113131011153243529903860697066236967518163570609243727443714526190984039<100>
factorization results 素因数分解の結果
Input number is 10521195447124113281335732716765566718018776911085689409560877641355325783919059502031663639272017915290965148000703995543560845863987 (134 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=1983308565
Step 1 took 2515ms
Step 2 took 2047ms
********** Factor found in step 2: 1445082915134457103379756626261333
Found probable prime factor of 34 digits: 1445082915134457103379756626261333
Probable prime cofactor 7280686344662218420052320964113131011153243529903860697066236967518163570609243727443714526190984039 has 100 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:37 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 37 秒 (日本時間)

99×10155-1

c132

name 名前Dmitry Domanov
date 日付December 1, 2014 10:25:04 UTC 2014 年 12 月 1 日 (月) 19 時 25 分 4 秒 (日本時間)
composite number 合成数
374406431496247256427995313842985653339635338510209400256277249085292776501790044489556700710533356030144913806387716378463803524251<132>
prime factors 素因数
3609451671963778534833758800619671769507<40>
5183556858174120000788374985814162432014863<43>
20011249299831261673839211796934190250706847994311<50>
factorization results 素因数分解の結果
N=374406431496247256427995313842985653339635338510209400256277249085292776501790044489556700710533356030144913806387716378463803524251
  ( 132 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=3609451671963778534833758800619671769507 (pp40)
 r2=5183556858174120000788374985814162432014863 (pp43)
 r3=20011249299831261673839211796934190250706847994311 (pp50)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 14.11 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 374406431496247256427995313842985653339635338510209400256277249085292776501790044489556700710533356030144913806387716378463803524251
m: 10000000000000000000000000000000
deg: 5
c5: 99
c0: -1
skew: 0.40
# Murphy_E = 1.086e-09
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4

Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1450000, 2250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 406830 x 407055
Total sieving time: 13.78 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,156.000,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 14.11 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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:38 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 38 秒 (日本時間)

99×10157-1

c122

name 名前Rich Smith
date 日付December 5, 2014 05:51:38 UTC 2014 年 12 月 5 日 (金) 14 時 51 分 38 秒 (日本時間)
composite number 合成数
77434480182756113761380934141755556931427315907927440889638395823677269852997487494248495950576064929331436066659969683239<122>
prime factors 素因数
51200134541899339276236791163455316205310492063<47>
1512388216858845297483142194781658555467949837869068676301586542374740095353<76>
factorization results 素因数分解の結果
P76 = 1512388216858845297483142194781658555467949837869068676301586542374740095353
P47 = 51200134541899339276236791163455316205310492063
software ソフトウェア
YAFU 1.31

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:38 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 38 秒 (日本時間)

99×10159-1

c121

name 名前Serge Batalov
date 日付November 18, 2014 06:36:23 UTC 2014 年 11 月 18 日 (火) 15 時 36 分 23 秒 (日本時間)
composite number 合成数
8535564292464146669911413035257469699305364992280470293179329516349617580543587900670990841089784869312881443954981908621<121>
prime factors 素因数
2102571615622333402562530671026789<34>
4059583145251265307384877314117467702624553053427527368557278614322948317922802965159689<88>
factorization results 素因数分解の結果
Input number is 8535564292464146669911413035257469699305364992280470293179329516349617580543587900670990841089784869312881443954981908621 (121 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=818717764
Step 1 took 2533ms
Step 2 took 1975ms
********** Factor found in step 2: 2102571615622333402562530671026789
Found probable prime factor of 34 digits: 2102571615622333402562530671026789
Probable prime cofactor 4059583145251265307384877314117467702624553053427527368557278614322948317922802965159689 has 88 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:39 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 39 秒 (日本時間)

99×10161-1

c159

name 名前Dmitry Domanov
date 日付November 25, 2014 09:07:14 UTC 2014 年 11 月 25 日 (火) 18 時 7 分 14 秒 (日本時間)
composite number 合成数
295849146818874577892000119535008815706900158383886680811642709858649852075426590562711053999940232495592146549920808056659594178645070675073962286704718644473<159>
prime factors 素因数
16263941668766801673731464106108667179860054013715360161704451<62>
18190494828631973670172756290036195694730177579519808649295486810632075606083887244635456109847123<98>
factorization results 素因数分解の結果
N=295849146818874577892000119535008815706900158383886680811642709858649852075426590562711053999940232495592146549920808056659594178645070675073962286704718644473
  ( 159 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=16263941668766801673731464106108667179860054013715360161704451 (pp62)
 r2=18190494828631973670172756290036195694730177579519808649295486810632075606083887244635456109847123 (pp98)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 27.90 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 295849146818874577892000119535008815706900158383886680811642709858649852075426590562711053999940232495592146549920808056659594178645070675073962286704718644473
m: 100000000000000000000000000000000
deg: 5
c5: 990
c0: -1
skew: 0.25
# Murphy_E = 4.638e-10
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
qintsize: 160000
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1800000, 3400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 607174 x 607398
Total sieving time: 27.33 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.39 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,162.000,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
total time: 27.90 hours.
 --------- CPU info (if available) ----------
[    0.074811] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49295964k/51380224k available (5351k kernel code, 1057796k absent, 1026464k reserved, 7000k data, 1344k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.38 BogoMIPS (lpj=2400194)
[    0.709831] Total of 16 processors activated (76642.81 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:39 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 39 秒 (日本時間)
403e62107107Pierre JammesNovember 18, 2014 17:19:41 UTC 2014 年 11 月 19 日 (水) 2 時 19 分 41 秒 (日本時間)
2000Serge BatalovNovember 22, 2014 04:47:18 UTC 2014 年 11 月 22 日 (土) 13 時 47 分 18 秒 (日本時間)

99×10163-1

c111

name 名前Erik Branger
date 日付November 18, 2014 15:39:01 UTC 2014 年 11 月 19 日 (水) 0 時 39 分 1 秒 (日本時間)
composite number 合成数
299441389280544002342406425836428413263414651742768762299109286484590107997386156969718644236223661400348373147<111>
prime factors 素因数
4234145560186726487744635797453589<34>
70720617660423225930745832554040329265034233482463978010105354567503726045423<77>
factorization results 素因数分解の結果
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 299441389280544002342406425836428413263414651742768762299109286484590107997386156969718644236223661400348373147 (111 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:468620305
Step 1 took 4196ms
Step 2 took 4087ms
********** Factor found in step 2: 4234145560186726487744635797453589
Found probable prime factor of 34 digits: 4234145560186726487744635797453589
Probable prime cofactor 70720617660423225930745832554040329265034233482463978010105354567503726045423 has 77 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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:40 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 40 秒 (日本時間)

99×10166-1

c164

name 名前Dmitry Domanov
date 日付November 27, 2014 12:06:15 UTC 2014 年 11 月 27 日 (木) 21 時 6 分 15 秒 (日本時間)
composite number 合成数
38996336707763816126363887028794264781187221806436365068735967227321069838893922086107062669870406113365108126206326072399259463504943475006893291842281482648599677<164>
prime factors 素因数
183481315208385472625568718819045243816154692890595494826771<60>
212535737840523194128200417951468376801703722698950669771480810798833406170474487078003437821389105648687<105>
factorization results 素因数分解の結果
N=38996336707763816126363887028794264781187221806436365068735967227321069838893922086107062669870406113365108126206326072399259463504943475006893291842281482648599677
  ( 164 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=183481315208385472625568718819045243816154692890595494826771 (pp60)
 r2=212535737840523194128200417951468376801703722698950669771480810798833406170474487078003437821389105648687 (pp105)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 42.70 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 38996336707763816126363887028794264781187221806436365068735967227321069838893922086107062669870406113365108126206326072399259463504943475006893291842281482648599677
m: 1000000000000000000000000000000000
deg: 5
c5: 990
c0: -1
skew: 0.25
# Murphy_E = 2.953e-10
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
qintsize: 160000
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2200000, 4600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 713013 x 713238
Total sieving time: 41.91 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.53 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,167.000,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,51,51,2.4,2.4,100000
total time: 42.70 hours.
 --------- CPU info (if available) ----------
[    0.074811] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49295964k/51380224k available (5351k kernel code, 1057796k absent, 1026464k reserved, 7000k data, 1344k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.38 BogoMIPS (lpj=2400194)
[    0.709831] Total of 16 processors activated (76642.81 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:40 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 40 秒 (日本時間)
403e620802000Serge BatalovNovember 22, 2014 04:47:20 UTC 2014 年 11 月 22 日 (土) 13 時 47 分 20 秒 (日本時間)
80Serge BatalovNovember 22, 2014 04:55:18 UTC 2014 年 11 月 22 日 (土) 13 時 55 分 18 秒 (日本時間)

99×10168-1

c154

name 名前Cyp
date 日付March 31, 2015 13:28:49 UTC 2015 年 3 月 31 日 (火) 22 時 28 分 49 秒 (日本時間)
composite number 合成数
7285542359807158685972864246705078516940831282626594661312847302175340728704635462286632819620529137700060778699965269579023877920715983198491335051311121<154>
prime factors 素因数
142313779013087573360375829393143848118481020327171376370337<60>
51193513448456454965901817465482856480532606355845543477613568486430214985183691838557147570033<95>
factorization results 素因数分解の結果
03/31/15 08:06:09 v1.34.3, 
03/31/15 08:06:09 v1.34.3, ****************************
03/31/15 08:06:09 v1.34.3, Starting factorization of 7285542359807158685972864246705078516940831282626594661312847302175340728704635462286632819620529137700060778699965269579023877920715983198491335051311121
03/31/15 08:06:09 v1.34.3, using pretesting plan: none
03/31/15 08:06:09 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
03/31/15 08:06:09 v1.34.3, ****************************
03/31/15 08:06:09 v1.34.3, nfs: commencing nfs on c154: 7285542359807158685972864246705078516940831282626594661312847302175340728704635462286632819620529137700060778699965269579023877920715983198491335051311121
03/31/15 08:06:09 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
03/31/15 08:06:09 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/31/15 08:44:12 v1.34.3, nfs: commencing lattice sieving with 8 threads
[65 lines snipped]
03/31/15 14:15:52 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/31/15 14:20:39 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/31/15 14:25:31 v1.34.3, nfs: commencing msieve filtering
03/31/15 14:27:10 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/31/15 14:31:56 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/31/15 14:36:49 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/31/15 14:41:43 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/31/15 14:46:34 v1.34.3, nfs: commencing msieve filtering
03/31/15 14:48:52 v1.34.3, nfs: commencing msieve linear algebra
03/31/15 15:18:44 v1.34.3, nfs: commencing msieve sqrt
03/31/15 15:28:47 v1.34.3, prp60 = 142313779013087573360375829393143848118481020327171376370337
03/31/15 15:28:47 v1.34.3, prp95 = 51193513448456454965901817465482856480532606355845543477613568486430214985183691838557147570033
03/31/15 15:28:48 v1.34.3, NFS elapsed time = 26558.9257 seconds.
03/31/15 15:28:48 v1.34.3, 
03/31/15 15:28:48 v1.34.3, 
03/31/15 15:28:48 v1.34.3, Total factoring time = 26558.9358 seconds
--
Tue Mar 31 14:25:31 2015  
Tue Mar 31 14:25:31 2015  commencing relation filtering
Tue Mar 31 14:25:31 2015  estimated available RAM is 15987.3 MB
Tue Mar 31 14:25:31 2015  commencing duplicate removal, pass 1
Tue Mar 31 14:26:01 2015  found 1372419 hash collisions in 10100026 relations
Tue Mar 31 14:26:11 2015  added 372012 free relations
Tue Mar 31 14:26:11 2015  commencing duplicate removal, pass 2
Tue Mar 31 14:26:20 2015  found 933274 duplicates and 9538764 unique relations
Tue Mar 31 14:26:20 2015  memory use: 41.3 MB
Tue Mar 31 14:26:20 2015  reading ideals above 100000
Tue Mar 31 14:26:20 2015  commencing singleton removal, initial pass
Tue Mar 31 14:27:04 2015  memory use: 344.5 MB
Tue Mar 31 14:27:05 2015  reading all ideals from disk
Tue Mar 31 14:27:05 2015  memory use: 346.9 MB
Tue Mar 31 14:27:05 2015  keeping 10881457 ideals with weight <= 200, target excess is 49326
Tue Mar 31 14:27:06 2015  commencing in-memory singleton removal
Tue Mar 31 14:27:07 2015  begin with 9538764 relations and 10881457 unique ideals
Tue Mar 31 14:27:10 2015  reduce to 3441237 relations and 3472437 ideals in 19 passes
Tue Mar 31 14:27:10 2015  max relations containing the same ideal: 103
Tue Mar 31 14:46:34 2015  
Tue Mar 31 14:46:34 2015  commencing relation filtering
Tue Mar 31 14:46:34 2015  estimated available RAM is 15987.3 MB
Tue Mar 31 14:46:34 2015  commencing duplicate removal, pass 1
Tue Mar 31 14:47:08 2015  found 1541450 hash collisions in 11018998 relations
Tue Mar 31 14:47:17 2015  added 1226 free relations
Tue Mar 31 14:47:17 2015  commencing duplicate removal, pass 2
Tue Mar 31 14:47:26 2015  found 1022281 duplicates and 9997943 unique relations
Tue Mar 31 14:47:26 2015  memory use: 41.3 MB
Tue Mar 31 14:47:26 2015  reading ideals above 100000
Tue Mar 31 14:47:26 2015  commencing singleton removal, initial pass
Tue Mar 31 14:48:12 2015  memory use: 344.5 MB
Tue Mar 31 14:48:12 2015  reading all ideals from disk
Tue Mar 31 14:48:12 2015  memory use: 363.8 MB
Tue Mar 31 14:48:13 2015  keeping 11061013 ideals with weight <= 200, target excess is 51976
Tue Mar 31 14:48:13 2015  commencing in-memory singleton removal
Tue Mar 31 14:48:14 2015  begin with 9997943 relations and 11061013 unique ideals
Tue Mar 31 14:48:17 2015  reduce to 4081393 relations and 3936674 ideals in 17 passes
Tue Mar 31 14:48:17 2015  max relations containing the same ideal: 112
Tue Mar 31 14:48:19 2015  removing 426757 relations and 384544 ideals in 42213 cliques
Tue Mar 31 14:48:19 2015  commencing in-memory singleton removal
Tue Mar 31 14:48:19 2015  begin with 3654636 relations and 3936674 unique ideals
Tue Mar 31 14:48:20 2015  reduce to 3614151 relations and 3511025 ideals in 9 passes
Tue Mar 31 14:48:20 2015  max relations containing the same ideal: 105
Tue Mar 31 14:48:21 2015  removing 315387 relations and 273174 ideals in 42213 cliques
Tue Mar 31 14:48:21 2015  commencing in-memory singleton removal
Tue Mar 31 14:48:21 2015  begin with 3298764 relations and 3511025 unique ideals
Tue Mar 31 14:48:22 2015  reduce to 3273935 relations and 3212709 ideals in 9 passes
Tue Mar 31 14:48:22 2015  max relations containing the same ideal: 94
Tue Mar 31 14:48:24 2015  relations with 0 large ideals: 1187
Tue Mar 31 14:48:24 2015  relations with 1 large ideals: 294
Tue Mar 31 14:48:24 2015  relations with 2 large ideals: 4659
Tue Mar 31 14:48:24 2015  relations with 3 large ideals: 42153
Tue Mar 31 14:48:24 2015  relations with 4 large ideals: 201096
Tue Mar 31 14:48:24 2015  relations with 5 large ideals: 556139
Tue Mar 31 14:48:24 2015  relations with 6 large ideals: 938344
Tue Mar 31 14:48:24 2015  relations with 7+ large ideals: 1530063
Tue Mar 31 14:48:24 2015  commencing 2-way merge
Tue Mar 31 14:48:25 2015  reduce to 1909630 relation sets and 1848405 unique ideals
Tue Mar 31 14:48:25 2015  ignored 1 oversize relation sets
Tue Mar 31 14:48:25 2015  commencing full merge
Tue Mar 31 14:48:45 2015  memory use: 224.5 MB
Tue Mar 31 14:48:45 2015  found 953808 cycles, need 946605
Tue Mar 31 14:48:45 2015  weight of 946605 cycles is about 66563143 (70.32/cycle)
Tue Mar 31 14:48:45 2015  distribution of cycle lengths:
Tue Mar 31 14:48:45 2015  1 relations: 124388
Tue Mar 31 14:48:45 2015  2 relations: 112527
Tue Mar 31 14:48:45 2015  3 relations: 107203
Tue Mar 31 14:48:45 2015  4 relations: 94765
Tue Mar 31 14:48:45 2015  5 relations: 85160
Tue Mar 31 14:48:45 2015  6 relations: 71816
Tue Mar 31 14:48:45 2015  7 relations: 62035
Tue Mar 31 14:48:45 2015  8 relations: 53278
Tue Mar 31 14:48:45 2015  9 relations: 44973
Tue Mar 31 14:48:45 2015  10+ relations: 190460
Tue Mar 31 14:48:45 2015  heaviest cycle: 25 relations
Tue Mar 31 14:48:45 2015  commencing cycle optimization
Tue Mar 31 14:48:46 2015  start with 5699295 relations
Tue Mar 31 14:48:51 2015  pruned 119854 relations
Tue Mar 31 14:48:51 2015  memory use: 190.1 MB
Tue Mar 31 14:48:51 2015  distribution of cycle lengths:
Tue Mar 31 14:48:51 2015  1 relations: 124388
Tue Mar 31 14:48:51 2015  2 relations: 114748
Tue Mar 31 14:48:51 2015  3 relations: 110499
Tue Mar 31 14:48:51 2015  4 relations: 96639
Tue Mar 31 14:48:51 2015  5 relations: 86699
Tue Mar 31 14:48:51 2015  6 relations: 72539
Tue Mar 31 14:48:51 2015  7 relations: 62308
Tue Mar 31 14:48:51 2015  8 relations: 52926
Tue Mar 31 14:48:51 2015  9 relations: 44777
Tue Mar 31 14:48:51 2015  10+ relations: 181082
Tue Mar 31 14:48:51 2015  heaviest cycle: 25 relations
Tue Mar 31 14:48:52 2015  RelProcTime: 138
Tue Mar 31 14:48:52 2015  
Tue Mar 31 14:48:52 2015  commencing linear algebra
Tue Mar 31 14:48:52 2015  read 946605 cycles
Tue Mar 31 14:48:53 2015  cycles contain 3199882 unique relations
Tue Mar 31 14:49:07 2015  read 3199882 relations
Tue Mar 31 14:49:09 2015  using 20 quadratic characters above 134217594
Tue Mar 31 14:49:20 2015  building initial matrix
Tue Mar 31 14:49:36 2015  memory use: 388.7 MB
Tue Mar 31 14:49:37 2015  read 946605 cycles
Tue Mar 31 14:49:37 2015  matrix is 946426 x 946605 (284.8 MB) with weight 84509561 (89.28/col)
Tue Mar 31 14:49:37 2015  sparse part has weight 64234248 (67.86/col)
Tue Mar 31 14:49:42 2015  filtering completed in 2 passes
Tue Mar 31 14:49:42 2015  matrix is 945239 x 945418 (284.7 MB) with weight 84471437 (89.35/col)
Tue Mar 31 14:49:42 2015  sparse part has weight 64221899 (67.93/col)
Tue Mar 31 14:49:45 2015  matrix starts at (0, 0)
Tue Mar 31 14:49:45 2015  matrix is 945239 x 945418 (284.7 MB) with weight 84471437 (89.35/col)
Tue Mar 31 14:49:45 2015  sparse part has weight 64221899 (67.93/col)
Tue Mar 31 14:49:45 2015  saving the first 48 matrix rows for later
Tue Mar 31 14:49:45 2015  matrix includes 64 packed rows
Tue Mar 31 14:49:45 2015  matrix is 945191 x 945418 (270.3 MB) with weight 67168239 (71.05/col)
Tue Mar 31 14:49:45 2015  sparse part has weight 61391177 (64.94/col)
Tue Mar 31 14:49:45 2015  using block size 65536 for processor cache size 8192 kB
Tue Mar 31 14:49:47 2015  commencing Lanczos iteration (8 threads)
Tue Mar 31 14:49:47 2015  memory use: 263.9 MB
Tue Mar 31 14:49:52 2015  linear algebra at 0.3%, ETA 0h25m
Tue Mar 31 15:18:44 2015  lanczos halted after 14947 iterations (dim = 945190)
Tue Mar 31 15:18:44 2015  recovered 38 nontrivial dependencies
Tue Mar 31 15:18:44 2015  BLanczosTime: 1792
Tue Mar 31 15:18:44 2015  
Tue Mar 31 15:18:44 2015  commencing square root phase
Tue Mar 31 15:18:44 2015  reading relations for dependency 1
Tue Mar 31 15:18:44 2015  read 472630 cycles
Tue Mar 31 15:18:45 2015  cycles contain 1598944 unique relations
Tue Mar 31 15:18:56 2015  read 1598944 relations
Tue Mar 31 15:19:00 2015  multiplying 1598944 relations
Tue Mar 31 15:19:45 2015  multiply complete, coefficients have about 58.76 million bits
Tue Mar 31 15:19:45 2015  initial square root is modulo 273187361
Tue Mar 31 15:20:45 2015  Newton iteration failed to converge
Tue Mar 31 15:20:45 2015  algebraic square root failed
Tue Mar 31 15:20:45 2015  reading relations for dependency 2
Tue Mar 31 15:20:45 2015  read 473293 cycles
Tue Mar 31 15:20:45 2015  cycles contain 1601150 unique relations
Tue Mar 31 15:20:56 2015  read 1601150 relations
Tue Mar 31 15:20:59 2015  multiplying 1601150 relations
Tue Mar 31 15:21:46 2015  multiply complete, coefficients have about 58.84 million bits
Tue Mar 31 15:21:46 2015  initial square root is modulo 280614071
Tue Mar 31 15:22:45 2015  Newton iteration failed to converge
Tue Mar 31 15:22:45 2015  algebraic square root failed
Tue Mar 31 15:22:45 2015  reading relations for dependency 3
Tue Mar 31 15:22:45 2015  read 473095 cycles
Tue Mar 31 15:22:46 2015  cycles contain 1601004 unique relations
Tue Mar 31 15:22:56 2015  read 1601004 relations
Tue Mar 31 15:23:00 2015  multiplying 1601004 relations
Tue Mar 31 15:23:44 2015  multiply complete, coefficients have about 58.84 million bits
Tue Mar 31 15:23:44 2015  initial square root is modulo 280111511
Tue Mar 31 15:24:45 2015  GCD is N, no factor found
Tue Mar 31 15:24:45 2015  reading relations for dependency 4
Tue Mar 31 15:24:45 2015  read 472499 cycles
Tue Mar 31 15:24:45 2015  cycles contain 1600020 unique relations
Tue Mar 31 15:24:56 2015  read 1600020 relations
Tue Mar 31 15:24:59 2015  multiplying 1600020 relations
Tue Mar 31 15:25:44 2015  multiply complete, coefficients have about 58.80 million bits
Tue Mar 31 15:25:45 2015  initial square root is modulo 276725551
Tue Mar 31 15:26:46 2015  GCD is 1, no factor found
Tue Mar 31 15:26:46 2015  reading relations for dependency 5
Tue Mar 31 15:26:46 2015  read 472977 cycles
Tue Mar 31 15:26:46 2015  cycles contain 1600414 unique relations
Tue Mar 31 15:26:57 2015  read 1600414 relations
Tue Mar 31 15:27:01 2015  multiplying 1600414 relations
Tue Mar 31 15:27:46 2015  multiply complete, coefficients have about 58.82 million bits
Tue Mar 31 15:27:46 2015  initial square root is modulo 278196241
Tue Mar 31 15:28:47 2015  sqrtTime: 603
--
n: 7285542359807158685972864246705078516940831282626594661312847302175340728704635462286632819620529137700060778699965269579023877920715983198491335051311121
m: 1000000000000000000000000000000000
deg: 5
c5: 99000
c0: -1
skew: 0.10
# Murphy_E = 2.041e-10
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:41 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 41 秒 (日本時間)
403e62350Ignacio SantosFebruary 14, 2015 10:09:53 UTC 2015 年 2 月 14 日 (土) 19 時 9 分 53 秒 (日本時間)

99×10169-1

c162

name 名前Ignacio Santos
date 日付February 14, 2015 22:04:13 UTC 2015 年 2 月 15 日 (日) 7 時 4 分 13 秒 (日本時間)
composite number 合成数
130647476683523321859486147023179012504402092495330475419077056470453390020078723732713969840566586033080750582754950278717130899022299885369864367732187847965079<162>
prime factors 素因数
9503668736679094739276512796713047473<37>
13747057089573599349562053879777157779689314246448398633402893797159899150621442709445049845835024919975650512072973866708423<125>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1397736643
Step 1 took 12406ms
Step 2 took 7141ms
********** Factor found in step 2: 9503668736679094739276512796713047473
Found probable prime factor of 37 digits: 9503668736679094739276512796713047473
Probable prime cofactor 13747057089573599349562053879777157779689314246448398633402893797159899150621442709445049845835024919975650512072973866708423 has 125 digits
 
software ソフトウェア
GMP-ECM 7.0

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:41 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 41 秒 (日本時間)

99×10170-1

c166

name 名前Cyp
date 日付April 8, 2015 11:07:06 UTC 2015 年 4 月 8 日 (水) 20 時 7 分 6 秒 (日本時間)
composite number 合成数
2522531429085398900125336687875465426158752840077367822538130355761015882010758214343317546703140602589442212244775238627651174161939892917266829552551336699596318531<166>
prime factors 素因数
248853746747581152450995695390343440459812495118920867833254627890513804831799<78>
10136602169161103038274603512520007807838220600793694067735131162370657479122911765155669<89>
factorization results 素因数分解の結果
04/08/15 08:03:19 v1.34.3, 
04/08/15 08:03:19 v1.34.3, ****************************
04/08/15 08:03:19 v1.34.3, Starting factorization of 2522531429085398900125336687875465426158752840077367822538130355761015882010758214343317546703140602589442212244775238627651174161939892917266829552551336699596318531
04/08/15 08:03:19 v1.34.3, using pretesting plan: none
04/08/15 08:03:19 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
04/08/15 08:03:19 v1.34.3, ****************************
04/08/15 08:03:19 v1.34.3, nfs: commencing nfs on c166: 2522531429085398900125336687875465426158752840077367822538130355761015882010758214343317546703140602589442212244775238627651174161939892917266829552551336699596318531
04/08/15 08:03:19 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
04/08/15 08:03:19 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/08/15 08:08:26 v1.34.3, nfs: commencing lattice sieving with 8 threads
[50 lines snipped]
04/08/15 12:26:25 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/08/15 12:31:35 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/08/15 12:36:46 v1.34.3, nfs: commencing msieve filtering
04/08/15 12:38:59 v1.34.3, nfs: commencing msieve linear algebra
04/08/15 13:04:03 v1.34.3, nfs: commencing msieve sqrt
04/08/15 13:07:04 v1.34.3, prp89 = 10136602169161103038274603512520007807838220600793694067735131162370657479122911765155669
04/08/15 13:07:04 v1.34.3, prp78 = 248853746747581152450995695390343440459812495118920867833254627890513804831799
04/08/15 13:07:05 v1.34.3, NFS elapsed time = 18225.1775 seconds.
04/08/15 13:07:05 v1.34.3, 
04/08/15 13:07:05 v1.34.3, 
04/08/15 13:07:05 v1.34.3, Total factoring time = 18225.2017 seconds
--
Wed Apr  8 12:36:46 2015  
Wed Apr  8 12:36:46 2015  commencing relation filtering
Wed Apr  8 12:36:46 2015  estimated available RAM is 15987.3 MB
Wed Apr  8 12:36:46 2015  commencing duplicate removal, pass 1
Wed Apr  8 12:37:16 2015  found 1259986 hash collisions in 10189651 relations
Wed Apr  8 12:37:25 2015  added 370939 free relations
Wed Apr  8 12:37:25 2015  commencing duplicate removal, pass 2
Wed Apr  8 12:37:34 2015  found 764934 duplicates and 9795656 unique relations
Wed Apr  8 12:37:34 2015  memory use: 41.3 MB
Wed Apr  8 12:37:34 2015  reading ideals above 100000
Wed Apr  8 12:37:34 2015  commencing singleton removal, initial pass
Wed Apr  8 12:38:17 2015  memory use: 344.5 MB
Wed Apr  8 12:38:17 2015  reading all ideals from disk
Wed Apr  8 12:38:20 2015  memory use: 354.2 MB
Wed Apr  8 12:38:20 2015  keeping 10960227 ideals with weight <= 200, target excess is 49817
Wed Apr  8 12:38:21 2015  commencing in-memory singleton removal
Wed Apr  8 12:38:21 2015  begin with 9795656 relations and 10960227 unique ideals
Wed Apr  8 12:38:25 2015  reduce to 3801627 relations and 3706017 ideals in 22 passes
Wed Apr  8 12:38:25 2015  max relations containing the same ideal: 110
Wed Apr  8 12:38:26 2015  removing 254662 relations and 235751 ideals in 18911 cliques
Wed Apr  8 12:38:26 2015  commencing in-memory singleton removal
Wed Apr  8 12:38:27 2015  begin with 3546965 relations and 3706017 unique ideals
Wed Apr  8 12:38:28 2015  reduce to 3530451 relations and 3453634 ideals in 9 passes
Wed Apr  8 12:38:28 2015  max relations containing the same ideal: 106
Wed Apr  8 12:38:29 2015  removing 185020 relations and 166109 ideals in 18911 cliques
Wed Apr  8 12:38:29 2015  commencing in-memory singleton removal
Wed Apr  8 12:38:29 2015  begin with 3345431 relations and 3453634 unique ideals
Wed Apr  8 12:38:30 2015  reduce to 3336362 relations and 3278406 ideals in 7 passes
Wed Apr  8 12:38:30 2015  max relations containing the same ideal: 101
Wed Apr  8 12:38:31 2015  relations with 0 large ideals: 1076
Wed Apr  8 12:38:31 2015  relations with 1 large ideals: 248
Wed Apr  8 12:38:31 2015  relations with 2 large ideals: 4445
Wed Apr  8 12:38:31 2015  relations with 3 large ideals: 40616
Wed Apr  8 12:38:31 2015  relations with 4 large ideals: 198186
Wed Apr  8 12:38:31 2015  relations with 5 large ideals: 558897
Wed Apr  8 12:38:31 2015  relations with 6 large ideals: 962804
Wed Apr  8 12:38:31 2015  relations with 7+ large ideals: 1570090
Wed Apr  8 12:38:31 2015  commencing 2-way merge
Wed Apr  8 12:38:32 2015  reduce to 1913853 relation sets and 1855897 unique ideals
Wed Apr  8 12:38:32 2015  commencing full merge
Wed Apr  8 12:38:51 2015  memory use: 217.3 MB
Wed Apr  8 12:38:51 2015  found 951440 cycles, need 946097
Wed Apr  8 12:38:52 2015  weight of 946097 cycles is about 66315354 (70.09/cycle)
Wed Apr  8 12:38:52 2015  distribution of cycle lengths:
Wed Apr  8 12:38:52 2015  1 relations: 125700
Wed Apr  8 12:38:52 2015  2 relations: 115017
Wed Apr  8 12:38:52 2015  3 relations: 110979
Wed Apr  8 12:38:52 2015  4 relations: 98143
Wed Apr  8 12:38:52 2015  5 relations: 85182
Wed Apr  8 12:38:52 2015  6 relations: 70639
Wed Apr  8 12:38:52 2015  7 relations: 60794
Wed Apr  8 12:38:52 2015  8 relations: 51392
Wed Apr  8 12:38:52 2015  9 relations: 41140
Wed Apr  8 12:38:52 2015  10+ relations: 187111
Wed Apr  8 12:38:52 2015  heaviest cycle: 27 relations
Wed Apr  8 12:38:52 2015  commencing cycle optimization
Wed Apr  8 12:38:53 2015  start with 5712217 relations
Wed Apr  8 12:38:58 2015  pruned 113085 relations
Wed Apr  8 12:38:58 2015  memory use: 192.6 MB
Wed Apr  8 12:38:58 2015  distribution of cycle lengths:
Wed Apr  8 12:38:58 2015  1 relations: 125700
Wed Apr  8 12:38:58 2015  2 relations: 117270
Wed Apr  8 12:38:58 2015  3 relations: 114201
Wed Apr  8 12:38:58 2015  4 relations: 99928
Wed Apr  8 12:38:58 2015  5 relations: 86691
Wed Apr  8 12:38:58 2015  6 relations: 71109
Wed Apr  8 12:38:58 2015  7 relations: 60935
Wed Apr  8 12:38:58 2015  8 relations: 50753
Wed Apr  8 12:38:58 2015  9 relations: 40661
Wed Apr  8 12:38:58 2015  10+ relations: 178849
Wed Apr  8 12:38:58 2015  heaviest cycle: 27 relations
Wed Apr  8 12:38:59 2015  RelProcTime: 133
Wed Apr  8 12:38:59 2015  
Wed Apr  8 12:38:59 2015  commencing linear algebra
Wed Apr  8 12:38:59 2015  read 946097 cycles
Wed Apr  8 12:39:00 2015  cycles contain 3262979 unique relations
Wed Apr  8 12:39:15 2015  read 3262979 relations
Wed Apr  8 12:39:17 2015  using 20 quadratic characters above 134217488
Wed Apr  8 12:39:27 2015  building initial matrix
Wed Apr  8 12:39:43 2015  memory use: 389.5 MB
Wed Apr  8 12:39:43 2015  read 946097 cycles
Wed Apr  8 12:39:44 2015  matrix is 945919 x 946097 (284.0 MB) with weight 84221306 (89.02/col)
Wed Apr  8 12:39:44 2015  sparse part has weight 64046276 (67.70/col)
Wed Apr  8 12:39:48 2015  filtering completed in 2 passes
Wed Apr  8 12:39:48 2015  matrix is 944724 x 944902 (283.9 MB) with weight 84180308 (89.09/col)
Wed Apr  8 12:39:48 2015  sparse part has weight 64032133 (67.77/col)
Wed Apr  8 12:39:51 2015  matrix starts at (0, 0)
Wed Apr  8 12:39:51 2015  matrix is 944724 x 944902 (283.9 MB) with weight 84180308 (89.09/col)
Wed Apr  8 12:39:51 2015  sparse part has weight 64032133 (67.77/col)
Wed Apr  8 12:39:51 2015  saving the first 48 matrix rows for later
Wed Apr  8 12:39:51 2015  matrix includes 64 packed rows
Wed Apr  8 12:39:51 2015  matrix is 944676 x 944902 (268.8 MB) with weight 67239746 (71.16/col)
Wed Apr  8 12:39:51 2015  sparse part has weight 61019589 (64.58/col)
Wed Apr  8 12:39:51 2015  using block size 65536 for processor cache size 8192 kB
Wed Apr  8 12:39:53 2015  commencing Lanczos iteration (8 threads)
Wed Apr  8 12:39:53 2015  memory use: 262.3 MB
Wed Apr  8 12:39:58 2015  linear algebra at 0.3%, ETA 0h25m
Wed Apr  8 13:04:02 2015  lanczos halted after 14941 iterations (dim = 944673)
Wed Apr  8 13:04:03 2015  recovered 34 nontrivial dependencies
Wed Apr  8 13:04:03 2015  BLanczosTime: 1504
Wed Apr  8 13:04:03 2015  
Wed Apr  8 13:04:03 2015  commencing square root phase
Wed Apr  8 13:04:03 2015  reading relations for dependency 1
Wed Apr  8 13:04:03 2015  read 472399 cycles
Wed Apr  8 13:04:04 2015  cycles contain 1630466 unique relations
Wed Apr  8 13:04:15 2015  read 1630466 relations
Wed Apr  8 13:04:19 2015  multiplying 1630466 relations
Wed Apr  8 13:04:51 2015  multiply complete, coefficients have about 45.25 million bits
Wed Apr  8 13:04:51 2015  initial square root is modulo 3140981
Wed Apr  8 13:05:34 2015  GCD is 1, no factor found
Wed Apr  8 13:05:34 2015  reading relations for dependency 2
Wed Apr  8 13:05:34 2015  read 472431 cycles
Wed Apr  8 13:05:35 2015  cycles contain 1631454 unique relations
Wed Apr  8 13:05:45 2015  read 1631454 relations
Wed Apr  8 13:05:49 2015  multiplying 1631454 relations
Wed Apr  8 13:06:22 2015  multiply complete, coefficients have about 45.28 million bits
Wed Apr  8 13:06:22 2015  initial square root is modulo 3170621
Wed Apr  8 13:07:04 2015  sqrtTime: 181
--
n: 2522531429085398900125336687875465426158752840077367822538130355761015882010758214343317546703140602589442212244775238627651174161939892917266829552551336699596318531
m: 10000000000000000000000000000000000
deg: 5
c5: 99
c0: -1
skew: 0.40
# Murphy_E = 2.806e-10
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:42 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 42 秒 (日本時間)
403e62350Ignacio SantosFebruary 20, 2015 10:14:47 UTC 2015 年 2 月 20 日 (金) 19 時 14 分 47 秒 (日本時間)

99×10174-1

c156

name 名前Jo Yeong Uk
date 日付May 14, 2015 22:08:24 UTC 2015 年 5 月 15 日 (金) 7 時 8 分 24 秒 (日本時間)
composite number 合成数
479146181238652337647523685377122259889783083877982476785419244589285337322569662446798186423306914579866492089379197036513151791396480932725928257695246723<156>
prime factors 素因数
4651044302698987552175324117925571726580875001203<49>
103019053368424204209205524810766513712748504360722080241051035946656031059488750231907908899925392241745841<108>
factorization results 素因数分解の結果
Number: 98999_174
N=479146181238652337647523685377122259889783083877982476785419244589285337322569662446798186423306914579866492089379197036513151791396480932725928257695246723
  ( 156 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=4651044302698987552175324117925571726580875001203
 r2=103019053368424204209205524810766513712748504360722080241051035946656031059488750231907908899925392241745841
Version: 
Total time: 31.23 hours.
Scaled time: 161.35 units (timescale=5.166).
Factorization parameters were as follows:
n: 479146181238652337647523685377122259889783083877982476785419244589285337322569662446798186423306914579866492089379197036513151791396480932725928257695246723
m: 100000000000000000000000000000000000
deg: 5
c5: 99
c0: -10
skew: 0.63
# Murphy_E = 1.325e-10
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3700000, 7200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18142083
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1260851 x 1261099
Total sieving time: 27.56 hours.
Total relation processing time: 1.59 hours.
Matrix solve time: 2.00 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,100000
total time: 31.23 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.77 BogoMIPS (lpj=3399888)
Total of 12 processors activated (81597.31 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:42 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 42 秒 (日本時間)
403e60--
4511e6601 / 4434CypDecember 3, 2014 11:24:16 UTC 2014 年 12 月 3 日 (水) 20 時 24 分 16 秒 (日本時間)

99×10175-1

c172

name 名前Serge Batalov
date 日付November 18, 2014 06:23:56 UTC 2014 年 11 月 18 日 (火) 15 時 23 分 56 秒 (日本時間)
composite number 合成数
4309800660836101328202203657671227509588218136860114318550862177798867262492980248923638168291185804648490046101807068943750571375087610846766996504272797321828922680434811<172>
prime factors 素因数
17618897083835426858022001066177<32>
composite cofactor 合成数の残り
244612397718706031977497588065155013292838665150630105294652632035025497588389121126342743697658919022208810182725941454180837277633059779643<141>
factorization results 素因数分解の結果
Input number is 4309800660836101328202203657671227509588218136860114318550862177798867262492980248923638168291185804648490046101807068943750571375087610846766996504272797321828922680434811 (172 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=915812136
Step 1 took 4444ms
Step 2 took 3717ms
********** Factor found in step 2: 17618897083835426858022001066177
Found probable prime factor of 32 digits: 17618897083835426858022001066177
Composite cofactor 244612397718706031977497588065155013292838665150630105294652632035025497588389121126342743697658919022208810182725941454180837277633059779643 has 141 digits

c141

name 名前Jo Yeong Uk
date 日付May 24, 2015 00:52:28 UTC 2015 年 5 月 24 日 (日) 9 時 52 分 28 秒 (日本時間)
composite number 合成数
244612397718706031977497588065155013292838665150630105294652632035025497588389121126342743697658919022208810182725941454180837277633059779643<141>
prime factors 素因数
2583587994878809041249642017638499886037706480822827308334553<61>
94679336722254862300022272251535616795758167604824480187357865153185367394644531<80>
factorization results 素因数分解の結果
Number: 98999_175
N=244612397718706031977497588065155013292838665150630105294652632035025497588389121126342743697658919022208810182725941454180837277633059779643
  ( 141 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=2583587994878809041249642017638499886037706480822827308334553
 r2=94679336722254862300022272251535616795758167604824480187357865153185367394644531
Version: 
Total time: 25.71 hours.
Scaled time: 135.07 units (timescale=5.254).
Factorization parameters were as follows:
n: 244612397718706031977497588065155013292838665150630105294652632035025497588389121126342743697658919022208810182725941454180837277633059779643
m: 100000000000000000000000000000000000
deg: 5
c5: 99
c0: -1
skew: 0.40
# Murphy_E = 1.771e-10
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3700000, 6500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 17425000
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1276160 x 1276408
Total sieving time: 22.22 hours.
Total relation processing time: 1.23 hours.
Matrix solve time: 1.83 hours.
Time per square root: 0.42 hours.
Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,100000
total time: 25.71 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.77 BogoMIPS (lpj=3399888)
Total of 12 processors activated (81597.31 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:43 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 43 秒 (日本時間)
403e60--
4511e6601 / 4434CypDecember 1, 2014 20:52:06 UTC 2014 年 12 月 2 日 (火) 5 時 52 分 6 秒 (日本時間)

99×10176-1

c169

name 名前Jo Yeong Uk
date 日付June 1, 2015 21:04:51 UTC 2015 年 6 月 2 日 (火) 6 時 4 分 51 秒 (日本時間)
composite number 合成数
8922809899081749216945244107218390885320486164687089165723141859335541365862333908326714012904587679023032999883090460561657481194179954658624329605295331123226626570359<169>
prime factors 素因数
306117024793853732847871026489234637121<39>
29148362150359246656863354555066641268854534004414271583829136024255491791473980513159813012464765487416120249088748415911281021879<131>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 8922809899081749216945244107218390885320486164687089165723141859335541365862333908326714012904587679023032999883090460561657481194179954658624329605295331123226626570359 (169 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2998758872
Step 1 took 29374ms
Step 2 took 10020ms
********** Factor found in step 2: 306117024793853732847871026489234637121
Found probable prime factor of 39 digits: 306117024793853732847871026489234637121
Probable prime cofactor 29148362150359246656863354555066641268854534004414271583829136024255491791473980513159813012464765487416120249088748415911281021879 has 131 digits
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:43 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 43 秒 (日本時間)
403e60--
4511e6601 / 4434CypDecember 5, 2014 14:51:45 UTC 2014 年 12 月 5 日 (金) 23 時 51 分 45 秒 (日本時間)

99×10177-1

c124

name 名前Serge Batalov
date 日付November 22, 2014 04:35:39 UTC 2014 年 11 月 22 日 (土) 13 時 35 分 39 秒 (日本時間)
composite number 合成数
5672562977193954465496355383459247198439791142564038715794824216394288133216855825678283825303470928350290953929392841255289<124>
prime factors 素因数
5648972331947283990724003096471196483869<40>
1004176095024090590967401412135964877186522254259657757195565779357109098902137575181<85>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4258661987
Step 1 took 7972ms
Step 2 took 7528ms
********** Factor found in step 2: 5648972331947283990724003096471196483869
Found probable prime factor of 40 digits: 5648972331947283990724003096471196483869
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:43 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 43 秒 (日本時間)

99×10178-1

c147

name 名前Jo Yeong Uk
date 日付November 21, 2015 06:07:55 UTC 2015 年 11 月 21 日 (土) 15 時 7 分 55 秒 (日本時間)
composite number 合成数
732443565509777130822075609838123891572477400198991871511820527715342053099342761692652295924293008072769449991441983915346004014476933498615699711<147>
prime factors 素因数
55149836296335577394526277578075598188301760593477560641923303<62>
13280974427088992714479171254745108281539995709567534302920211536481524025442582762537<86>
factorization results 素因数分解の結果
Number: 98999_178
N=732443565509777130822075609838123891572477400198991871511820527715342053099342761692652295924293008072769449991441983915346004014476933498615699711
  ( 147 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=55149836296335577394526277578075598188301760593477560641923303
 r2=13280974427088992714479171254745108281539995709567534302920211536481524025442582762537
Version: 
Total time: 56.43 hours.
Scaled time: 266.06 units (timescale=4.715).
Factorization parameters were as follows:
n: 732443565509777130822075609838123891572477400198991871511820527715342053099342761692652295924293008072769449991441983915346004014476933498615699711
m: 200000000000000000000000000000000000
deg: 5
c5: 12375
c0: -4
skew: 0.20
# Murphy_E = 8.142e-11
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [2800000, 5500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18297384
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1295015 x 1295263
Total sieving time: 52.96 hours.
Total relation processing time: 1.29 hours.
Matrix solve time: 2.08 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,5600000,5600000,28,28,53,53,2.5,2.5,100000
total time: 56.43 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:44 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 44 秒 (日本時間)
403e60--
4511e6601 / 44341KTakahashiMay 7, 2015 20:48:51 UTC 2015 年 5 月 8 日 (金) 5 時 48 分 51 秒 (日本時間)
600KTakahashiMay 9, 2015 13:42:16 UTC 2015 年 5 月 9 日 (土) 22 時 42 分 16 秒 (日本時間)

99×10179-1

c164

name 名前Jo Yeong Uk
date 日付December 23, 2015 13:23:56 UTC 2015 年 12 月 23 日 (水) 22 時 23 分 56 秒 (日本時間)
composite number 合成数
37608748805404176583831391320585020394909767124801073356348148653081107635879327289743690160326190444752833276303457924224392053547715742538898197106043123029803947<164>
prime factors 素因数
827103250237902427581976197290700333124744994227340874751573588162124103960141307<81>
45470440110816453082788992010163661246784666994432240788379374594180613128378069521<83>
factorization results 素因数分解の結果
Number: 98999_179
N=37608748805404176583831391320585020394909767124801073356348148653081107635879327289743690160326190444752833276303457924224392053547715742538898197106043123029803947
  ( 164 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=827103250237902427581976197290700333124744994227340874751573588162124103960141307
 r2=45470440110816453082788992010163661246784666994432240788379374594180613128378069521
Version: 
Total time: 50.42 hours.
Scaled time: 264.10 units (timescale=5.238).
Factorization parameters were as follows:
n: 37608748805404176583831391320585020394909767124801073356348148653081107635879327289743690160326190444752833276303457924224392053547715742538898197106043123029803947
m: 1000000000000000000000000000000000000
deg: 5
c5: 99
c0: -10
skew: 0.63
# Murphy_E = 8.333e-11
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
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: 53/53
Sieved rational special-q in [2900000, 5300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18319942
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1199790 x 1200038
Total sieving time: 47.68 hours.
Total relation processing time: 1.15 hours.
Matrix solve time: 1.52 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,53,53,2.5,2.5,100000
total time: 50.42 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:44 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 44 秒 (日本時間)
403e60--
4511e6601 / 4434CypFebruary 1, 2015 11:55:22 UTC 2015 年 2 月 1 日 (日) 20 時 55 分 22 秒 (日本時間)

99×10180-1

c164

name 名前Serge Batalov
date 日付November 17, 2014 21:50:35 UTC 2014 年 11 月 18 日 (火) 6 時 50 分 35 秒 (日本時間)
composite number 合成数
10218620179883269756332567651556951809542854600342523722812994654123092011889153024313422839195999561568139984182752678496129843081005396092734273103518119973078443<164>
prime factors 素因数
287141639401049336287177616864941<33>
39224333111808958922262870378124291<35>
907278277443655672714010972856768583597355213041942484986367169816271278013180413632423863739453<96>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3755383644
Step 1 took 3649ms
Step 2 took 2668ms
********** Factor found in step 2: 287141639401049336287177616864941
Found probable prime factor of 33 digits: 287141639401049336287177616864941
 
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=856081997
Step 1 took 3682ms
Step 2 took 2521ms
********** Factor found in step 2: 39224333111808958922262870378124291
Found probable prime factor of 35 digits: 39224333111808958922262870378124291

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:45 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 45 秒 (日本時間)

99×10183-1

c162

name 名前Jo Yeong Uk
date 日付May 7, 2016 13:01:25 UTC 2016 年 5 月 7 日 (土) 22 時 1 分 25 秒 (日本時間)
composite number 合成数
606345098486948074037234527438564473603318597966095009565080930419497127614237857189642456714295776080087155708260338922311235171783781274537124146736747518011367<162>
prime factors 素因数
285806388144285441897021974164634755624173570381429990184170090108853<69>
2121523953414375933835755396607725810757574465796465496179439704562984208562965361839632173739<94>
factorization results 素因数分解の結果
Number: 98999_183
N=606345098486948074037234527438564473603318597966095009565080930419497127614237857189642456714295776080087155708260338922311235171783781274537124146736747518011367
  ( 162 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=285806388144285441897021974164634755624173570381429990184170090108853
 r2=2121523953414375933835755396607725810757574465796465496179439704562984208562965361839632173739
Version: 
Total time: 81.16 hours.
Scaled time: 426.34 units (timescale=5.253).
Factorization parameters were as follows:
n: 606345098486948074037234527438564473603318597966095009565080930419497127614237857189642456714295776080087155708260338922311235171783781274537124146736747518011367
m: 2000000000000000000000000000000000000
deg: 5
c5: 12375
c0: -4
skew: 0.20
# Murphy_E = 5.108e-11
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [3600000, 7300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20303083
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1725302 x 1725547
Total sieving time: 74.82 hours.
Total relation processing time: 1.96 hours.
Matrix solve time: 3.90 hours.
Time per square root: 0.48 hours.
Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,54,54,2.5,2.5,100000
total time: 81.16 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49365464k/51380224k available (5398k kernel code, 1086460k absent, 928300k reserved, 7010k data, 1296k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.67 BogoMIPS (lpj=3399839)
Total of 12 processors activated (81596.13 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:45 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 45 秒 (日本時間)
403e60--
4511e6601 / 4434CypDecember 6, 2014 13:18:12 UTC 2014 年 12 月 6 日 (土) 22 時 18 分 12 秒 (日本時間)

99×10184-1

c148

name 名前Serge Batalov
date 日付November 18, 2014 06:35:06 UTC 2014 年 11 月 18 日 (火) 15 時 35 分 6 秒 (日本時間)
composite number 合成数
5460322556670686207927919236222572107453614938619639743633811562751290935570422165275144159014500778638450682767466170565648732057231922401954434921<148>
prime factors 素因数
4238899955355352270272347863243<31>
1288146126159974577072659890627943701852260837226399013181462894234359954907729647665149094083666300494570576207787547<118>
factorization results 素因数分解の結果
Input number is 5460322556670686207927919236222572107453614938619639743633811562751290935570422165275144159014500778638450682767466170565648732057231922401954434921 (148 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3705049407
Step 1 took 3125ms
Step 2 took 2300ms
********** Factor found in step 2: 4238899955355352270272347863243
Found probable prime factor of 31 digits: 4238899955355352270272347863243
Probable prime cofactor 1288146126159974577072659890627943701852260837226399013181462894234359954907729647665149094083666300494570576207787547 has 118 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:45 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 45 秒 (日本時間)

99×10185-1

c153

name 名前Jo Yeong Uk
date 日付August 27, 2016 10:33:05 UTC 2016 年 8 月 27 日 (土) 19 時 33 分 5 秒 (日本時間)
composite number 合成数
572241260236145013830444459385645853526049392744116924713994306175374880965917342886186104188702394710711039882227157593162305376061945313085381554276389<153>
prime factors 素因数
1813105103758127964221821530838454720459748973568433180209<58>
315613948165513079926350261863263781372854092935396234097613997050360603096163564882245179988021<96>
factorization results 素因数分解の結果
Number: 98999_185
N=572241260236145013830444459385645853526049392744116924713994306175374880965917342886186104188702394710711039882227157593162305376061945313085381554276389
  ( 153 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=1813105103758127964221821530838454720459748973568433180209
 r2=315613948165513079926350261863263781372854092935396234097613997050360603096163564882245179988021
Version: 
Total time: 62.31 hours.
Scaled time: 327.58 units (timescale=5.257).
Factorization parameters were as follows:
n: 572241260236145013830444459385645853526049392744116924713994306175374880965917342886186104188702394710711039882227157593162305376061945313085381554276389
m: 10000000000000000000000000000000000000
deg: 5
c5: 99
c0: -1
skew: 0.40
# Murphy_E = 6.957e-11
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [3700000, 6500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20245262
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1468829 x 1469076
Total sieving time: 58.08 hours.
Total relation processing time: 1.53 hours.
Matrix solve time: 2.62 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,54,54,2.5,2.5,100000
total time: 62.31 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49368528k/51380224k available (5398k kernel code, 1086460k absent, 925236k reserved, 7010k data, 1296k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.70 BogoMIPS (lpj=3399852)
Total of 12 processors activated (81596.44 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:46 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 46 秒 (日本時間)
403e6601KTakahashiJune 20, 2015 19:12:53 UTC 2015 年 6 月 21 日 (日) 4 時 12 分 53 秒 (日本時間)
4511e6601 / 4301KTakahashiJune 20, 2015 19:13:20 UTC 2015 年 6 月 21 日 (日) 4 時 13 分 20 秒 (日本時間)

99×10186-1

c156

name 名前Jo Yeong Uk
date 日付November 2, 2016 02:36:17 UTC 2016 年 11 月 2 日 (水) 11 時 36 分 17 秒 (日本時間)
composite number 合成数
269526088064874362243300786966803363677181041044484913712450718581465516258883586595134039433572158935406807802057662896575783475638934857254485291282794721<156>
prime factors 素因数
102654435386874552887607670912144124702393629<45>
2625566903652134857265354643898278767356524697733692266642539756879279341672480098938002320862810233815629536149<112>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 269526088064874362243300786966803363677181041044484913712450718581465516258883586595134039433572158935406807802057662896575783475638934857254485291282794721 (156 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1874102619
Step 1 took 30224ms
Step 2 took 9768ms
********** Factor found in step 2: 102654435386874552887607670912144124702393629
Found probable prime factor of 45 digits: 102654435386874552887607670912144124702393629
Probable prime cofactor 2625566903652134857265354643898278767356524697733692266642539756879279341672480098938002320862810233815629536149 has 112 digits
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:46 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 46 秒 (日本時間)
403e60--
4511e6601 / 4434CypJune 29, 2015 06:03:18 UTC 2015 年 6 月 29 日 (月) 15 時 3 分 18 秒 (日本時間)

99×10187-1

c164

name 名前Serge Batalov
date 日付November 18, 2014 06:23:45 UTC 2014 年 11 月 18 日 (火) 15 時 23 分 45 秒 (日本時間)
composite number 合成数
94857616536495241874170196417278008695196312806792202439003084725457267484326902302424175819603856370660478935031880242495411999151460109682417829429605633774495071<164>
prime factors 素因数
180418504683098429906695611273167<33>
composite cofactor 合成数の残り
525764342760243953878044603018119451274760742605930386147166564038764412554455764098378683425461050213149726285577655493922730681713<132>
factorization results 素因数分解の結果
Input number is 94857616536495241874170196417278008695196312806792202439003084725457267484326902302424175819603856370660478935031880242495411999151460109682417829429605633774495071 (164 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=233937826
Step 1 took 3674ms
Step 2 took 2529ms
********** Factor found in step 2: 180418504683098429906695611273167
Found probable prime factor of 33 digits: 180418504683098429906695611273167
Composite cofactor 525764342760243953878044603018119451274760742605930386147166564038764412554455764098378683425461050213149726285577655493922730681713 has 132 digits

c132

name 名前Erik Branger
date 日付December 11, 2014 07:40:45 UTC 2014 年 12 月 11 日 (木) 16 時 40 分 45 秒 (日本時間)
composite number 合成数
525764342760243953878044603018119451274760742605930386147166564038764412554455764098378683425461050213149726285577655493922730681713<132>
prime factors 素因数
4811953279706557687784251056510228109783019873<46>
109262146201117333104480117237108397765907786952733676601562909086946064600867645464081<87>
factorization results 素因数分解の結果
Number: 98999_187
N = 525764342760243953878044603018119451274760742605930386147166564038764412554455764098378683425461050213149726285577655493922730681713 (132 digits)
Divisors found:
r1=4811953279706557687784251056510228109783019873 (pp46)
r2=109262146201117333104480117237108397765907786952733676601562909086946064600867645464081 (pp87)
Version: Msieve v. 1.51 (SVN 845)
Total time: 95.90 hours.
Factorization parameters were as follows:
# Murphy_E = 6.198e-11, selected by Erik Branger
# expecting poly E from 6.54e-011 to > 7.52e-011
n: 525764342760243953878044603018119451274760742605930386147166564038764412554455764098378683425461050213149726285577655493922730681713
Y0: -31657195647927970556161437
Y1: 60102512452457
c0: -43160176848229353510130085404040
c1: 406827454505709200786901631
c2: 2584840557247520258760
c3: -18598436751691708
c4: -30803227150
c5: 16536
skew: 338308.43
type: gnfs
# selected mechanically
rlim: 10900000
alim: 10900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 10900000/10900000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19469770
Relations: 2797382 relations
Pruned matrix : 1637088 x 1637317
Polynomial selection time: 0.00 hours.
Total sieving time: 93.17 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 2.11 hours.
time per square root: 0.47 hours.
Prototype def-par.txt line would be: gnfs,131,5,65,2000,1e-05,0.28,250,20,50000,3600,10900000,10900000,28,28,54,54,2.6,2.6,100000
total time: 95.90 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:47 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 47 秒 (日本時間)
403e620802000Serge BatalovNovember 22, 2014 04:47:13 UTC 2014 年 11 月 22 日 (土) 13 時 47 分 13 秒 (日本時間)
80Serge BatalovNovember 22, 2014 04:55:10 UTC 2014 年 11 月 22 日 (土) 13 時 55 分 10 秒 (日本時間)

99×10188-1

c181

name 名前Jo Yeong Uk
date 日付December 3, 2016 00:51:30 UTC 2016 年 12 月 3 日 (土) 9 時 51 分 30 秒 (日本時間)
composite number 合成数
7311822217760746897646825250996337145614284356977279135071048839854919532580376012614166616698239865880323368749764170653230316415243763475222126345686686759145446834765375748624149<181>
prime factors 素因数
22196707217957261302915625683480086468640687<44>
329410220442311438577394050292321361601891187926716600416781631210620698511566404364826834785632030820553301195079923323518168521565448827<138>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 7311822217760746897646825250996337145614284356977279135071048839854919532580376012614166616698239865880323368749764170653230316415243763475222126345686686759145446834765375748624149 (181 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=853547956
Step 1 took 34394ms
Step 2 took 11077ms
********** Factor found in step 2: 22196707217957261302915625683480086468640687
Found probable prime factor of 44 digits: 22196707217957261302915625683480086468640687
Probable prime cofactor 329410220442311438577394050292321361601891187926716600416781631210620698511566404364826834785632030820553301195079923323518168521565448827 has 138 digits
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:47 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 47 秒 (日本時間)
403e60--
4511e6601 / 4434CypJuly 15, 2015 05:58:59 UTC 2015 年 7 月 15 日 (水) 14 時 58 分 59 秒 (日本時間)

99×10190-1

c164

name 名前Jo Yeong Uk
date 日付November 26, 2016 03:32:49 UTC 2016 年 11 月 26 日 (土) 12 時 32 分 49 秒 (日本時間)
composite number 合成数
58200403790223075953456832800156316838308717427883244067985364632714355856800683535279697827549113791251609381464064457921666499661113734089947298539184965445069439<164>
prime factors 素因数
29643863444135595162925592330610960693874685393<47>
195272139008253323393203496003165921440461056383<48>
10054278485087500314503783268052696581295835148571937357240521356677681<71>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 58200403790223075953456832800156316838308717427883244067985364632714355856800683535279697827549113791251609381464064457921666499661113734089947298539184965445069439 (164 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=596322629
Step 1 took 29753ms
Step 2 took 9817ms
********** Factor found in step 2: 29643863444135595162925592330610960693874685393
Found probable prime factor of 47 digits: 29643863444135595162925592330610960693874685393
Composite cofactor 1963320465967697000399081755829081779569151520177784129894009297106793773453430223560479665225891651085124704498687823 has 118 digits

Number: 98999_190
N=1963320465967697000399081755829081779569151520177784129894009297106793773453430223560479665225891651085124704498687823
  ( 118 digits)
Divisors found:
 r1=195272139008253323393203496003165921440461056383
 r2=10054278485087500314503783268052696581295835148571937357240521356677681
Version: 
Total time: 15.57 hours.
Scaled time: 81.43 units (timescale=5.229).
Factorization parameters were as follows:
name: 98999_190
n: 1963320465967697000399081755829081779569151520177784129894009297106793773453430223560479665225891651085124704498687823
skew: 62491.29
# norm 3.48e+16
c5: 77280
c4: -19185143548
c3: -1241726349349952
c2: 72079895554560391422
c1: 1779784266858202666668573
c0: -13242067733544255282266082675
# alpha -6.65
Y1: 5820405403241
Y0: -30268365019335376503754
# Murphy_E 3.74e-10
# M 1898114688451898472578865660754553519394980609171404399570195997938951976629888527221093352806861495797226317048031642
type: gnfs
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2000000, 3600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 10482843
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 621103 x 621351
Polynomial selection time: 1.98 hours.
Total sieving time: 12.12 hours.
Total relation processing time: 0.56 hours.
Matrix solve time: 0.37 hours.
Time per square root: 0.54 hours.
Prototype def-par.txt line would be:
gnfs,117,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4000000,4000000,27,27,54,54,2.5,2.5,100000
total time: 15.57 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GMP-ECM v6.4.4 / GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:48 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 48 秒 (日本時間)
403e60--
4511e6601 / 4434CypDecember 4, 2014 23:03:55 UTC 2014 年 12 月 5 日 (金) 8 時 3 分 55 秒 (日本時間)

99×10192-1

c161

name 名前Serge Batalov
date 日付November 18, 2014 06:23:29 UTC 2014 年 11 月 18 日 (火) 15 時 23 分 29 秒 (日本時間)
composite number 合成数
24139350346802214133549667193151377433054684389537987541472243590499173235407819258458448794981275121801011328360456776754533727863631665747073702625943470144843<161>
prime factors 素因数
654350393689825070627382116243<30>
composite cofactor 合成数の残り
36890556771399666910928931606402942618724256429338549156014809010342871340816272517501941275102182603084934318974715701944651460201<131>
factorization results 素因数分解の結果
Input number is 24139350346802214133549667193151377433054684389537987541472243590499173235407819258458448794981275121801011328360456776754533727863631665747073702625943470144843 (161 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=734033594
Step 1 took 3661ms
Step 2 took 2527ms
********** Factor found in step 2: 654350393689825070627382116243
Found probable prime factor of 30 digits: 654350393689825070627382116243
Composite cofactor 36890556771399666910928931606402942618724256429338549156014809010342871340816272517501941275102182603084934318974715701944651460201 has 131 digits

c131

name 名前Serge Batalov
date 日付November 22, 2014 04:36:18 UTC 2014 年 11 月 22 日 (土) 13 時 36 分 18 秒 (日本時間)
composite number 合成数
36890556771399666910928931606402942618724256429338549156014809010342871340816272517501941275102182603084934318974715701944651460201<131>
prime factors 素因数
11884379913884984030409601882633600639049<41>
composite cofactor 合成数の残り
3104121295238886826403337969729688096751781804892578550226822980044263555606260763430313249<91>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1178094109
Step 1 took 8027ms
Step 2 took 7820ms
********** Factor found in step 2: 11884379913884984030409601882633600639049
Found probable prime factor of 41 digits: 11884379913884984030409601882633600639049
Composite cofactor 

c91

name 名前Serge Batalov
date 日付November 22, 2014 18:43:44 UTC 2014 年 11 月 23 日 (日) 3 時 43 分 44 秒 (日本時間)
composite number 合成数
3104121295238886826403337969729688096751781804892578550226822980044263555606260763430313249<91>
prime factors 素因数
119628166298256262027356275731733535649231<42>
25948080550693298387344753224885315541608574104079<50>
factorization results 素因数分解の結果
SIQS elapsed time = 390.7695 seconds.


***factors found***

PRP42 = 119628166298256262027356275731733535649231
PRP50 = 25948080550693298387344753224885315541608574104079

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:48 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 48 秒 (日本時間)

99×10193-1

c137

name 名前Jo Yeong Uk
date 日付June 8, 2017 13:37:39 UTC 2017 年 6 月 8 日 (木) 22 時 37 分 39 秒 (日本時間)
composite number 合成数
10646322691113723657311869037513831809330627224655826463534003669312434259866133945606142500394584532537332854716218653618496654409113167<137>
prime factors 素因数
62790842024979508820067552271206106198329686619806757979740269<62>
169552156775957775206539759325354879509582732386630148803937131821462246443<75>
factorization results 素因数分解の結果
Number: 98999_193
N=10646322691113723657311869037513831809330627224655826463534003669312434259866133945606142500394584532537332854716218653618496654409113167
  ( 137 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=62790842024979508820067552271206106198329686619806757979740269
 r2=169552156775957775206539759325354879509582732386630148803937131821462246443
Version: 
Total time: 186.18 hours.
Scaled time: 973.54 units (timescale=5.229).
Factorization parameters were as follows:
n: 10646322691113723657311869037513831809330627224655826463534003669312434259866133945606142500394584532537332854716218653618496654409113167
m: 200000000000000000000000000000000000000
deg: 5
c5: 12375
c0: -4
skew: 0.20
# Murphy_E = 1.985e-11
type: snfs
lss: 1
rlim: 12000000
alim: 12000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12000000/12000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6000000, 13800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 23768033
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2407328 x 2407576
Total sieving time: 171.45 hours.
Total relation processing time: 5.06 hours.
Matrix solve time: 9.48 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12000000,12000000,28,28,55,55,2.5,2.5,100000
total time: 186.18 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367836k/51380224k available (5467k kernel code, 1086464k absent, 925924k reserved, 6954k data, 1316k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.09 BogoMIPS (lpj=3400049)
Total of 12 processors activated (81601.17 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:48 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 48 秒 (日本時間)
403e60--
4511e6601 / 4434CypDecember 1, 2014 18:42:49 UTC 2014 年 12 月 2 日 (火) 3 時 42 分 49 秒 (日本時間)

99×10195-1

c183

name 名前Serge Batalov
date 日付November 18, 2014 06:36:30 UTC 2014 年 11 月 18 日 (火) 15 時 36 分 30 秒 (日本時間)
composite number 合成数
344826531524732221517225888515675752830210539105993810798710938997748879933137230698881963940592454083275718686163427256565657541244193531732088543750457432182342978780921840197541611<183>
prime factors 素因数
1002999671745191629595928435298357<34>
composite cofactor 合成数の残り
343795258601374827881387957470066139257815323260989602593193706709380964982402728694399965737699293041759432462496291260635646452120144854106161944223<150>
factorization results 素因数分解の結果
Input number is 344826531524732221517225888515675752830210539105993810798710938997748879933137230698881963940592454083275718686163427256565657541244193531732088543750457432182342978780921840197541611 (183 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=1878910787
Step 1 took 4568ms
Step 2 took 2857ms
********** Factor found in step 2: 1002999671745191629595928435298357
Found probable prime factor of 34 digits: 1002999671745191629595928435298357
Composite cofactor 343795258601374827881387957470066139257815323260989602593193706709380964982402728694399965737699293041759432462496291260635646452120144854106161944223 has 150 digits

c150

name 名前Jo Yeong Uk
date 日付September 13, 2017 10:31:51 UTC 2017 年 9 月 13 日 (水) 19 時 31 分 51 秒 (日本時間)
composite number 合成数
343795258601374827881387957470066139257815323260989602593193706709380964982402728694399965737699293041759432462496291260635646452120144854106161944223<150>
prime factors 素因数
72611302889048622642928256101769914095475383443008363104690169747<65>
4734734744075590671564691884555972355795980446951120700766081680318755140152699069509<85>
factorization results 素因数分解の結果
Number: 98999_195
N=343795258601374827881387957470066139257815323260989602593193706709380964982402728694399965737699293041759432462496291260635646452120144854106161944223
  ( 150 digits)
SNFS difficulty: 196 digits.
Divisors found:
 r1=72611302889048622642928256101769914095475383443008363104690169747
 r2=4734734744075590671564691884555972355795980446951120700766081680318755140152699069509
Version: 
Total time: 139.37 hours.
Scaled time: 727.36 units (timescale=5.219).
Factorization parameters were as follows:
n: 343795258601374827881387957470066139257815323260989602593193706709380964982402728694399965737699293041759432462496291260635646452120144854106161944223
m: 1000000000000000000000000000000000000000
deg: 5
c5: 99
c0: -1
skew: 0.40
# Murphy_E = 2.687e-11
type: snfs
lss: 1
rlim: 12000000
alim: 12000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5

Factor base limits: 12000000/12000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6000000, 11800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 23100007
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2176268 x 2176516
Total sieving time: 128.25 hours.
Total relation processing time: 3.65 hours.
Matrix solve time: 7.31 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,12000000,12000000,28,28,55,55,2.5,2.5,100000
total time: 139.37 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:49 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 49 秒 (日本時間)
403e60--
4511e6601 / 4434CypDecember 5, 2014 08:54:43 UTC 2014 年 12 月 5 日 (金) 17 時 54 分 43 秒 (日本時間)

99×10196-1

c196

name 名前Robert Backstrom
date 日付January 8, 2015 03:12:23 UTC 2015 年 1 月 8 日 (木) 12 時 12 分 23 秒 (日本時間)
composite number 合成数
3498233215547703180212014134275618374558303886925795053003533568904593639575971731448763250883392226148409893992932862190812720848056537102473498233215547703180212014134275618374558303886925795053<196>
prime factors 素因数
211671170032628331968570512998939931399765996183305530302425179497<66>
16526734439123019930281016712725598042004363721963810489076745052187728888703266221243818283811689345091826122225402967571533650149<131>
factorization results 素因数分解の結果
Number: n
N=3498233215547703180212014134275618374558303886925795053003533568904593639575971731448763250883392226148409893992932862190812720848056537102473498233215547703180212014134275618374558303886925795053
  ( 196 digits)
SNFS difficulty: 197 digits.
Divisors found:

Thu Jan  8 14:07:28 2015  prp66 factor: 211671170032628331968570512998939931399765996183305530302425179497
Thu Jan  8 14:07:28 2015  prp131 factor: 16526734439123019930281016712725598042004363721963810489076745052187728888703266221243818283811689345091826122225402967571533650149
Thu Jan  8 14:07:28 2015  elapsed time 02:40:41 (Msieve 1.44 - dependency 4)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.298).
Factorization parameters were as follows:
#
#  N = 99*10^196-1 989(196)
#
n: 3498233215547703180212014134275618374558303886925795053003533568904593639575971731448763250883392226148409893992932862190812720848056537102473498233215547703180212014134275618374558303886925795053
m: 1000000000000000000000000000000000000000
deg: 5
c5: 990
c0: -1
skew: 0.25
# Murphy_E = 1.788e-11
type: snfs
lss: 1
rlim: 14000000
alim: 14000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14000000/14000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 21000000)
Primes: RFBsize:910077, AFBsize:910399,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 5117688 hash collisions in 33738694 relations (30290461 unique)
Msieve: matrix is 1746813 x 1747038 (494.0 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 2hrs 17min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 14min 52sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,14000000,14000000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.038918] smpboot: CPU0: Intel(R) Core(TM) i7-4790 CPU @ 3.60GHz (fam: 06, model: 3c, stepping: 03)
[    0.000000] Memory: 16059668K/16661464K available (7375K kernel code, 1160K rwdata, 3228K rodata, 1468K init, 1504K bss, 601796K reserved)
[    1.117641] [drm] Memory usable by graphics device = 2048M
[    0.000027] Calibrating delay loop (skipped), value calculated using timer frequency.. 7200.23 BogoMIPS (lpj=3600117)
[    0.136797] smpboot: Total of 8 processors activated (57601.87 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:49 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 49 秒 (日本時間)
403e620802000Serge BatalovNovember 22, 2014 04:47:27 UTC 2014 年 11 月 22 日 (土) 13 時 47 分 27 秒 (日本時間)
80Serge BatalovNovember 22, 2014 04:55:26 UTC 2014 年 11 月 22 日 (土) 13 時 55 分 26 秒 (日本時間)

99×10197-1

c185

name 名前Jo Yeong Uk
date 日付February 10, 2018 04:12:32 UTC 2018 年 2 月 10 日 (土) 13 時 12 分 32 秒 (日本時間)
composite number 合成数
13663565183671528731385930936128953232359626233050988197832165147823474811751784382282917717803375073067733793702439770335190555046222740993898714977563215869397434597843071076220859883<185>
prime factors 素因数
307639671235956110162046785617858583946331828889373754586639928565436879716748875181083<87>
44414184714141533684771288127115078740932834103198371501698436837796202360691076233858815713663601<98>
factorization results 素因数分解の結果
Number: 98999_197
N=13663565183671528731385930936128953232359626233050988197832165147823474811751784382282917717803375073067733793702439770335190555046222740993898714977563215869397434597843071076220859883
  ( 185 digits)
SNFS difficulty: 198 digits.
Divisors found:
 r1=307639671235956110162046785617858583946331828889373754586639928565436879716748875181083
 r2=44414184714141533684771288127115078740932834103198371501698436837796202360691076233858815713663601
Version: 
Total time: 207.99 hours.
Scaled time: 1073.42 units (timescale=5.161).
Factorization parameters were as follows:
n: 13663565183671528731385930936128953232359626233050988197832165147823474811751784382282917717803375073067733793702439770335190555046222740993898714977563215869397434597843071076220859883
m: 1000000000000000000000000000000000000000
deg: 5
c5: 9900
c0: -1
skew: 0.16
# Murphy_E = 1.527e-11
type: snfs
lss: 1
rlim: 14000000
alim: 14000000
lpbr: 29
lpba: 29
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14000000/14000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 55/55
Sieved rational special-q in [7000000, 15100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 35017511
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2825266 x 2825514
Total sieving time: 186.17 hours.
Total relation processing time: 7.42 hours.
Matrix solve time: 13.89 hours.
Time per square root: 0.52 hours.
Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14000000,14000000,29,29,55,55,2.5,2.5,100000
total time: 207.99 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367700k/51380224k available (5484k kernel code, 1086464k absent, 926060k reserved, 6944k data, 1328k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.09 BogoMIPS (lpj=3400048)
Total of 12 processors activated (81601.15 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:50 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 50 秒 (日本時間)
403e60--
4511e6601 / 4434CypJune 15, 2015 06:50:41 UTC 2015 年 6 月 15 日 (月) 15 時 50 分 41 秒 (日本時間)

99×10199-1

c197

name 名前Serge Batalov
date 日付November 18, 2014 06:38:32 UTC 2014 年 11 月 18 日 (火) 15 時 38 分 32 秒 (日本時間)
composite number 合成数
22547657548910196551802673833329537431389072357482861502721661694035119684788302548568565376819186006787072676338624820643633133668891065206003598515043159405106247295419864714054706538820689183957<197>
prime factors 素因数
2493465158046508701167851303<28>
composite cofactor 合成数の残り
9042700065869391352725950148271234642465469936313913846344020409006303925386289692954814117719492612688652023571354540678784763553303500568363177997086303692144464896419<169>
factorization results 素因数分解の結果
Input number is 22547657548910196551802673833329537431389072357482861502721661694035119684788302548568565376819186006787072676338624820643633133668891065206003598515043159405106247295419864714054706538820689183957 (197 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=1285845684
Step 1 took 5338ms
Step 2 took 3171ms
********** Factor found in step 2: 2493465158046508701167851303
Found probable prime factor of 28 digits: 2493465158046508701167851303
Composite cofactor 9042700065869391352725950148271234642465469936313913846344020409006303925386289692954814117719492612688652023571354540678784763553303500568363177997086303692144464896419 has 169 digits

c169

name 名前Cyp
date 日付June 19, 2015 17:01:13 UTC 2015 年 6 月 20 日 (土) 2 時 1 分 13 秒 (日本時間)
composite number 合成数
9042700065869391352725950148271234642465469936313913846344020409006303925386289692954814117719492612688652023571354540678784763553303500568363177997086303692144464896419<169>
prime factors 素因数
1150493684014099873841434237296941112613581239<46>
7859843292941161903746736885594708543803899119453882169144931013005468742068507059506721128772398954691618082868628579573621<124>
factorization results 素因数分解の結果
Run 564 out of 601:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4169126876
Step 1 took 50148ms
Step 2 took 17460ms
********** Factor found in step 2: 1150493684014099873841434237296941112613581239
Found probable prime factor of 46 digits: 1150493684014099873841434237296941112613581239
Probable prime cofactor 7859843292941161903746736885594708543803899119453882169144931013005468742068507059506721128772398954691618082868628579573621 has 124 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:50 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 50 秒 (日本時間)
403e60 / 126--
4511e6564 / 4434CypJune 19, 2015 17:01:12 UTC 2015 年 6 月 20 日 (土) 2 時 1 分 12 秒 (日本時間)

99×10200-1

c197

name 名前Jo Yeong Uk
date 日付July 14, 2018 11:02:36 UTC 2018 年 7 月 14 日 (土) 20 時 2 分 36 秒 (日本時間)
composite number 合成数
52626263163210521000005315784157900052626263163210521000005315784157900052626263163210521000005315784157900052626263163210521000005315784157900052626263163210521000005315784157900052626263163210521<197>
prime factors 素因数
54922412716495656620370471004471865140516856652893160219931901962134521145841274835680614988391589<98>
958192849881929909686192824218250951134255581715646572491005443946299155468735804013765143913061989<99>
factorization results 素因数分解の結果
Number: 98999_200
N=52626263163210521000005315784157900052626263163210521000005315784157900052626263163210521000005315784157900052626263163210521000005315784157900052626263163210521000005315784157900052626263163210521
  ( 197 digits)
SNFS difficulty: 201 digits.
Divisors found:
 r1=54922412716495656620370471004471865140516856652893160219931901962134521145841274835680614988391589
 r2=958192849881929909686192824218250951134255581715646572491005443946299155468735804013765143913061989
Version: 
Total time: 195.37 hours.
Scaled time: 1024.92 units (timescale=5.246).
Factorization parameters were as follows:
n: 52626263163210521000005315784157900052626263163210521000005315784157900052626263163210521000005315784157900052626263163210521000005315784157900052626263163210521000005315784157900052626263163210521
m: 10000000000000000000000000000000000000000
deg: 5
c5: 99
c0: -1
skew: 0.40
# Murphy_E = 1.659e-11
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 200000
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [8000000, 15000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 37774311
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2984367 x 2984614
Total sieving time: 176.79 hours.
Total relation processing time: 1.95 hours.
Matrix solve time: 16.20 hours.
Time per square root: 0.43 hours.
Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16000000,16000000,29,29,56,56,2.6,2.6,100000
total time: 195.37 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:51 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 51 秒 (日本時間)
403e620802000Serge BatalovNovember 22, 2014 04:47:29 UTC 2014 年 11 月 22 日 (土) 13 時 47 分 29 秒 (日本時間)
80Serge BatalovNovember 22, 2014 04:55:29 UTC 2014 年 11 月 22 日 (土) 13 時 55 分 29 秒 (日本時間)

99×10202-1

c175

name 名前Serge Batalov
date 日付November 18, 2014 06:38:10 UTC 2014 年 11 月 18 日 (火) 15 時 38 分 10 秒 (日本時間)
composite number 合成数
1109485822677821972475979434829878553219783428441271088038856068855351021826173227223896439230988858657137866839933439501450464556974166610758623929869791115368742679526273351<175>
prime factors 素因数
653867482078085076695687497455859693583<39>
1696805320784138335334589044504065508548393997318139594385592899327621900485033611086987200410465763704845473158853711993908397971962697<136>
factorization results 素因数分解の結果
Input number is 1109485822677821972475979434829878553219783428441271088038856068855351021826173227223896439230988858657137866839933439501450464556974166610758623929869791115368742679526273351 (175 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=399780434
Step 1 took 4744ms
Step 2 took 2943ms
********** Factor found in step 2: 653867482078085076695687497455859693583
Found probable prime factor of 39 digits: 653867482078085076695687497455859693583
Probable prime cofactor 1696805320784138335334589044504065508548393997318139594385592899327621900485033611086987200410465763704845473158853711993908397971962697 has 136 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:51 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 51 秒 (日本時間)

99×10203-1

c156

name 名前Cyp
date 日付July 14, 2015 18:22:46 UTC 2015 年 7 月 15 日 (水) 3 時 22 分 46 秒 (日本時間)
composite number 合成数
818745646652023590893587090189309906150232875627939482788539921205704011429572606902198306275502639431071154058763416261029677718944191914440012550669440473<156>
prime factors 素因数
5981375242609192108859060546017271109379<40>
composite cofactor 合成数の残り
136882508360212965043685344547269701594840515521508657331940282673628616276767052633370692683342635581349278073465587<117>
factorization results 素因数分解の結果
Run 175 out of 601:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=285533625
Step 1 took 49783ms
Step 2 took 16897ms
********** Factor found in step 2: 5981375242609192108859060546017271109379
Found probable prime factor of 40 digits: 5981375242609192108859060546017271109379
Composite cofactor 136882508360212965043685344547269701594840515521508657331940282673628616276767052633370692683342635581349278073465587 has 117 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c117

name 名前Dmitry Domanov
date 日付July 18, 2015 18:15:45 UTC 2015 年 7 月 19 日 (日) 3 時 15 分 45 秒 (日本時間)
composite number 合成数
136882508360212965043685344547269701594840515521508657331940282673628616276767052633370692683342635581349278073465587<117>
prime factors 素因数
3913738743703356859920989073124022475472187<43>
34974871171571492267159667042026613531238888813442062689599688592285388201<74>
factorization results 素因数分解の結果
N=136882508360212965043685344547269701594840515521508657331940282673628616276767052633370692683342635581349278073465587
  ( 117 digits)
Divisors found:
 r1=3913738743703356859920989073124022475472187 (pp43)
 r2=34974871171571492267159667042026613531238888813442062689599688592285388201 (pp74)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 24.13 hours.
Scaled time: 36.70 units (timescale=1.521).
Factorization parameters were as follows:
n: 136882508360212965043685344547269701594840515521508657331940282673628616276767052633370692683342635581349278073465587
skew: 73332.66
c0: 630811387007514419263835265
c1: 296209569031064284265424
c2: -20423702963208479171
c3: -1688531303005
c4: 3111742075
c5: 8700
Y0: -27502086538875985751524
Y1: 85142114899
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2450000, 3650001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 607415 x 607645
Total sieving time: 23.41 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.45 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
gnfs,116,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4900000,4900000,27,27,54,54,2.5,2.5,100000
total time: 24.13 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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:51 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 51 秒 (日本時間)
403e60--
4511e6601 / 4434CypJuly 14, 2015 18:22:45 UTC 2015 年 7 月 15 日 (水) 3 時 22 分 45 秒 (日本時間)

99×10206-1

c182

composite cofactor 合成数の残り
30163062759158155529852128172209510378258784964743144447334276720884917598152821980656154994679638843954363546533456061001058500732907013682640407857004151222857265034085589508346043<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:52 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 52 秒 (日本時間)
403e60--
4511e6601 / 4434CypJune 4, 2015 05:59:39 UTC 2015 年 6 月 4 日 (木) 14 時 59 分 39 秒 (日本時間)

99×10207-1

c160

name 名前Cyp
date 日付July 14, 2015 18:27:21 UTC 2015 年 7 月 15 日 (水) 3 時 27 分 21 秒 (日本時間)
composite number 合成数
2695681764247723842123045589084981674048715936736400253694863442325583902429382044416881606912312105846659277000815487622083974046387629754128130036974544904309<160>
prime factors 素因数
123110253421727071796859987468296931082771<42>
composite cofactor 合成数の残り
21896484568294921158929765223229281155274751796466819713811828866363185102137293974300901301451458936854669633588667479<119>
factorization results 素因数分解の結果
Run 310 out of 601:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=699540463
Step 1 took 49784ms
Step 2 took 16906ms
********** Factor found in step 2: 123110253421727071796859987468296931082771
Found probable prime factor of 42 digits: 123110253421727071796859987468296931082771
Composite cofactor 21896484568294921158929765223229281155274751796466819713811828866363185102137293974300901301451458936854669633588667479 has 119 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c119

name 名前Dmitry Domanov
date 日付July 18, 2015 19:52:35 UTC 2015 年 7 月 19 日 (日) 4 時 52 分 35 秒 (日本時間)
composite number 合成数
21896484568294921158929765223229281155274751796466819713811828866363185102137293974300901301451458936854669633588667479<119>
prime factors 素因数
140051466730450009232121851899517364078477852629<48>
156345985368635803519575829101355471788659362362752280213155628636214651<72>
factorization results 素因数分解の結果
N=21896484568294921158929765223229281155274751796466819713811828866363185102137293974300901301451458936854669633588667479
  ( 119 digits)
Divisors found:
 r1=140051466730450009232121851899517364078477852629 (pp48)
 r2=156345985368635803519575829101355471788659362362752280213155628636214651 (pp72)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 30.44 hours.
Scaled time: 65.27 units (timescale=2.144).
Factorization parameters were as follows:
n: 21896484568294921158929765223229281155274751796466819713811828866363185102137293974300901301451458936854669633588667479
skew: 43684.86
c0: -427629974963326497981305145
c1: -9476426270458091338392
c2: -1221251090564960222
c3: -209144119265189
c4: 2288405698
c5: 24120
Y0: -61886986912134064053268
Y1: 598177328177
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2650000, 4350001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 757998 x 758224
Total sieving time: 29.75 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.51 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
gnfs,118,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5300000,5300000,27,27,54,54,2.5,2.5,100000
total time: 30.44 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:52 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 52 秒 (日本時間)
403e60--
4511e6601 / 4434CypJuly 14, 2015 18:27:20 UTC 2015 年 7 月 15 日 (水) 3 時 27 分 20 秒 (日本時間)

99×10208-1

c187

composite cofactor 合成数の残り
3681192159216106206598547190620784214434333577387051627204926154528104153087042556215855881873093400904315924066304600232935662646526756480946385683066507349297488562623681736301852673571<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:53 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 53 秒 (日本時間)
403e60--
4511e6601 / 4434CypJune 20, 2015 06:56:11 UTC 2015 年 6 月 20 日 (土) 15 時 56 分 11 秒 (日本時間)

99×10211-1

c197

composite cofactor 合成数の残り
19181181738632617045959640969527939008965137274571242761312983235185920464361673223540837427486204387264781668629024512719260714050532695468304410083471464484021476396130705561923065959923862440659<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:53 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 53 秒 (日本時間)
403e60--
4511e6601 / 4434CypMay 16, 2015 03:35:10 UTC 2015 年 5 月 16 日 (土) 12 時 35 分 10 秒 (日本時間)

99×10212-1

c144

composite cofactor 合成数の残り
496927109393370848973316246148930492884186456363897344443783436479224104574081985650874087338391960637781878989924134651694790007446304358705969<144>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:54 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 54 秒 (日本時間)
403e620802000Serge BatalovNovember 22, 2014 04:47:17 UTC 2014 年 11 月 22 日 (土) 13 時 47 分 17 秒 (日本時間)
80Serge BatalovNovember 22, 2014 04:55:15 UTC 2014 年 11 月 22 日 (土) 13 時 55 分 15 秒 (日本時間)
4511e632721000Rich DickersonOctober 9, 2015 13:08:19 UTC 2015 年 10 月 9 日 (金) 22 時 8 分 19 秒 (日本時間)
2272Ignacio SantosFebruary 5, 2016 18:50:14 UTC 2016 年 2 月 6 日 (土) 3 時 50 分 14 秒 (日本時間)
5043e6200 / 6734Rich DickersonOctober 9, 2015 19:17:01 UTC 2015 年 10 月 10 日 (土) 4 時 17 分 1 秒 (日本時間)

99×10213-1

c189

name 名前Serge Batalov
date 日付November 17, 2014 21:41:00 UTC 2014 年 11 月 18 日 (火) 6 時 41 分 0 秒 (日本時間)
composite number 合成数
318315098013720650658745751654189921951779866893958041269782488683550517979100146439883751220334530147896498617623429820943882206448086676368304058332940464720220344087847526534180500753431<189>
prime factors 素因数
494186385226821081715210095563<30>
3533749570978121208924150240431<31>
composite cofactor 合成数の残り
182276505061341975055133587870649306249819427132869360014250403574588889351313338049800354537392954136168620531961427113756035627<129>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3191768083
Step 1 took 4595ms
Step 2 took 2936ms
********** Factor found in step 2: 3533749570978121208924150240431
Found probable prime factor of 31 digits: 3533749570978121208924150240431
 
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=2404255800
Step 1 took 4524ms
Step 2 took 2936ms
********** Factor found in step 2: 494186385226821081715210095563
Found probable prime factor of 30 digits: 494186385226821081715210095563

c129

name 名前Erik Branger
date 日付February 17, 2015 21:14:26 UTC 2015 年 2 月 18 日 (水) 6 時 14 分 26 秒 (日本時間)
composite number 合成数
182276505061341975055133587870649306249819427132869360014250403574588889351313338049800354537392954136168620531961427113756035627<129>
prime factors 素因数
81278902432326164258921398941886921369074829<44>
2242605394593113313271973608646625616455896917636614964640021904839110952277761056663<85>
factorization results 素因数分解の結果
Number: 98999_213
N = 182276505061341975055133587870649306249819427132869360014250403574588889351313338049800354537392954136168620531961427113756035627 (129 digits)
Divisors found:
r1=81278902432326164258921398941886921369074829 (pp44)
r2=2242605394593113313271973608646625616455896917636614964640021904839110952277761056663 (pp85)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 47.78 hours.
Factorization parameters were as follows:
# Murphy_E = 8.759e-11, selected by Maksym Voznyy
n: 182276505061341975055133587870649306249819427132869360014250403574588889351313338049800354537392954136168620531961427113756035627
Y0: -15000455559258496226811545
Y1: 15678939982783
c0: 59934412833410225621956162505424
c1: 1153643757590347674302175436
c2: -955931885495243647368
c3: -2447424792971391
c4: -1476164686
c5: 240
skew: 1237041.37
type: gnfs
# selected mechanically
rlim: 8800000
alim: 8800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8800000/8800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 17616064
Relations: 2435752 relations
Pruned matrix : 1401826 x 1402059
Polynomial selection time: 0.00 hours.
Total sieving time: 46.16 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.19 hours.
time per square root: 0.33 hours.
Prototype def-par.txt line would be: gnfs,128,5,65,2000,1e-05,0.28,250,20,50000,3600,8800000,8800000,28,28,53,53,2.5,2.5,100000
total time: 47.78 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:54 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 54 秒 (日本時間)
403e620802000Serge BatalovNovember 22, 2014 04:47:08 UTC 2014 年 11 月 22 日 (土) 13 時 47 分 8 秒 (日本時間)
80Serge BatalovNovember 22, 2014 04:55:04 UTC 2014 年 11 月 22 日 (土) 13 時 55 分 4 秒 (日本時間)

99×10214-1

c167

name 名前Serge Batalov
date 日付November 18, 2014 06:34:06 UTC 2014 年 11 月 18 日 (火) 15 時 34 分 6 秒 (日本時間)
composite number 合成数
44448889071329311118872515763142417548736981660339171616795300344710786945649507481783213737650001310982769870015835762863089139629615455181901630007964013164964821069<167>
prime factors 素因数
347109483551573407276536048666529027<36>
composite cofactor 合成数の残り
128054378164879815276587233294744740104856025770255438835888853761939134820278778113965050807049253781186642889178729332381677198447<132>
factorization results 素因数分解の結果
Input number is 44448889071329311118872515763142417548736981660339171616795300344710786945649507481783213737650001310982769870015835762863089139629615455181901630007964013164964821069 (167 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=2921405504
Step 1 took 3660ms
Step 2 took 2595ms
********** Factor found in step 2: 347109483551573407276536048666529027
Found probable prime factor of 36 digits: 347109483551573407276536048666529027
Composite cofactor 128054378164879815276587233294744740104856025770255438835888853761939134820278778113965050807049253781186642889178729332381677198447 has 132 digits

c132

name 名前Erik Branger
date 日付March 2, 2015 23:21:20 UTC 2015 年 3 月 3 日 (火) 8 時 21 分 20 秒 (日本時間)
composite number 合成数
128054378164879815276587233294744740104856025770255438835888853761939134820278778113965050807049253781186642889178729332381677198447<132>
prime factors 素因数
560943736408730499446937113269834453933486053691<48>
228283818595976363815211270726887419307462907942127003059031311119461842183650522717<84>
factorization results 素因数分解の結果
Number: 98999_214
N = 128054378164879815276587233294744740104856025770255438835888853761939134820278778113965050807049253781186642889178729332381677198447 (132 digits)
Divisors found:
r1=560943736408730499446937113269834453933486053691 (pp48)
r2=228283818595976363815211270726887419307462907942127003059031311119461842183650522717 (pp84)
Version: Msieve v. 1.52 (SVN 958)
Total time: 59.81 hours.
Factorization parameters were as follows:
# Murphy_E = 6.358e-11, selected by Erik Branger
# expecting poly E from 7.12e-011 to > 8.19e-011
n: 128054378164879815276587233294744740104856025770255438835888853761939134820278778113965050807049253781186642889178729332381677198447
Y0: -29302028087839352804076388
Y1: 12719123209313
c0: 658762791593111432843482232889075
c1: 2731330915196772627244484835
c2: -3862870208095085043393
c3: -11526903582192211
c4: -68080628330
c5: 5928
skew: 644699.5
type: gnfs
# selected mechanically
rlim: 10500000
alim: 10500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 10500000/10500000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19194371
Relations: 2824538 relations
Pruned matrix : 1624912 x 1625143
Polynomial selection time: 0.00 hours.
Total sieving time: 58.36 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.19 hours.
time per square root: 0.16 hours.
Prototype def-par.txt line would be: gnfs,131,5,65,2000,1e-05,0.28,250,20,50000,3600,10500000,10500000,28,28,54,54,2.6,2.6,100000
total time: 59.81 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:55 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 55 秒 (日本時間)
403e620802000Serge BatalovNovember 22, 2014 04:47:12 UTC 2014 年 11 月 22 日 (土) 13 時 47 分 12 秒 (日本時間)
80Serge BatalovNovember 22, 2014 04:55:08 UTC 2014 年 11 月 22 日 (土) 13 時 55 分 8 秒 (日本時間)

99×10215-1

c210

name 名前Cyp
date 日付December 5, 2014 19:43:30 UTC 2014 年 12 月 6 日 (土) 4 時 43 分 30 秒 (日本時間)
composite number 合成数
157272197298638726524761498698556681273229321974616299128160779970969458708335517007486903237200358536128815397691584105779437117722322400728637324260432655179325333728028299590954078122882931548674100854593291<210>
prime factors 素因数
115176847488027367899982007964861583<36>
composite cofactor 合成数の残り
1365484476513278155146073403856358629198579923737423193313966015008708364622896455834921894171537600105095207634818389577772368210540839693483481674879585541243811163488295877<175>
factorization results 素因数分解の結果
Run 86 out of 601:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1519647732
Step 1 took 69436ms
Step 2 took 21590ms
********** Factor found in step 2: 115176847488027367899982007964861583
Found probable prime factor of 36 digits: 115176847488027367899982007964861583
Composite cofactor 1365484476513278155146073403856358629198579923737423193313966015008708364622896455834921894171537600105095207634818389577772368210540839693483481674879585541243811163488295877 has 175 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:55 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 55 秒 (日本時間)
403e60--
4511e6601 / 4434CypDecember 5, 2014 19:43:29 UTC 2014 年 12 月 6 日 (土) 4 時 43 分 29 秒 (日本時間)

99×10216-1

c155

composite cofactor 合成数の残り
10405204327407550995707386409009058025152817879679552808185507323381420938144725512506042209462581809873636613720278501099695318624717568501352855086618671<155>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:55 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 55 秒 (日本時間)
403e60--
4511e6601 / 4434CypJuly 14, 2015 17:57:35 UTC 2015 年 7 月 15 日 (水) 2 時 57 分 35 秒 (日本時間)

99×10218-1

c205

name 名前Serge Batalov
date 日付November 18, 2014 06:39:41 UTC 2014 年 11 月 18 日 (火) 15 時 39 分 41 秒 (日本時間)
composite number 合成数
2919429743346035364508309247372665345437989996287833948827803924980408580478256850226918569983667988733975662470175327138299050517801974055150128785030524633295733493711637179889477710118489676787806154783<205>
prime factors 素因数
3567819820833579198088289179569930139<37>
composite cofactor 合成数の残り
818267146311201582165162432187580079939742562215765674596381675370409486498886982509206975483782849568744132271569625276707849242966702389389381146475418404892669006797<168>
factorization results 素因数分解の結果
Input number is 2919429743346035364508309247372665345437989996287833948827803924980408580478256850226918569983667988733975662470175327138299050517801974055150128785030524633295733493711637179889477710118489676787806154783 (205 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=389138857
Step 1 took 5365ms
Step 2 took 3258ms
********** Factor found in step 2: 3567819820833579198088289179569930139
Found probable prime factor of 37 digits: 3567819820833579198088289179569930139
Composite cofactor 818267146311201582165162432187580079939742562215765674596381675370409486498886982509206975483782849568744132271569625276707849242966702389389381146475418404892669006797 has 168 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:56 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 56 秒 (日本時間)
403e60--
4511e6601 / 4434CypJuly 14, 2015 17:11:11 UTC 2015 年 7 月 15 日 (水) 2 時 11 分 11 秒 (日本時間)

99×10219-1

c162

name 名前Serge Batalov
date 日付November 18, 2014 06:34:27 UTC 2014 年 11 月 18 日 (火) 15 時 34 分 27 秒 (日本時間)
composite number 合成数
950988196239301077548704167285660046413895239715301040686130383755535637103562703462130795463098148703874226303956226585593748413646179413080205546215669314356379<162>
prime factors 素因数
942632973396644963471403434612877754517<39>
composite cofactor 合成数の残り
1008863707379712431497400511820050538454813792079300543910550390059258185797037668549038768315425969403710026327246394930287<124>
factorization results 素因数分解の結果
Input number is 950988196239301077548704167285660046413895239715301040686130383755535637103562703462130795463098148703874226303956226585593748413646179413080205546215669314356379 (162 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=2779986862
Step 1 took 4279ms
Step 2 took 3096ms
********** Factor found in step 2: 942632973396644963471403434612877754517
Found probable prime factor of 39 digits: 942632973396644963471403434612877754517
Composite cofactor 1008863707379712431497400511820050538454813792079300543910550390059258185797037668549038768315425969403710026327246394930287 has 124 digits

c124

name 名前Erik Branger
date 日付November 28, 2014 07:13:50 UTC 2014 年 11 月 28 日 (金) 16 時 13 分 50 秒 (日本時間)
composite number 合成数
1008863707379712431497400511820050538454813792079300543910550390059258185797037668549038768315425969403710026327246394930287<124>
prime factors 素因数
417550063452184395078002093492969973734009<42>
2416150291150038633034960546542075252649590772974730206866110205387097375167663143<82>
factorization results 素因数分解の結果
Number: 98999_219
N = 1008863707379712431497400511820050538454813792079300543910550390059258185797037668549038768315425969403710026327246394930287 (124 digits)
Divisors found:
r1=417550063452184395078002093492969973734009 (pp42)
r2=2416150291150038633034960546542075252649590772974730206866110205387097375167663143 (pp82)
Version: Msieve v. 1.51 (SVN 845)
Total time: 37.61 hours.
Factorization parameters were as follows:
n: 1008863707379712431497400511820050538454813792079300543910550390059258185797037668549038768315425969403710026327246394930287
Y0: -497594172342904826352144
Y1: 5927795609627
c0: -22027403473319132342900736995
c1: 1268223755059481462780005
c2: 76483375671225164581
c3: -3685997634063877
c4: -28044020306
c5: 33072
skew: 58098.77  
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: 10965206
Relations: 1595822 relations
Pruned matrix : 912891 x 913117
Polynomial selection time: 0.00 hours.
Total sieving time: 36.61 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.65 hours.
time per square root: 0.26 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: 37.61 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:56 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 56 秒 (日本時間)
403e620802000Serge BatalovNovember 22, 2014 04:47:03 UTC 2014 年 11 月 22 日 (土) 13 時 47 分 3 秒 (日本時間)
80Serge BatalovNovember 22, 2014 04:54:58 UTC 2014 年 11 月 22 日 (土) 13 時 54 分 58 秒 (日本時間)

99×10220-1

c210

name 名前Serge Batalov
date 日付November 18, 2014 06:40:37 UTC 2014 年 11 月 18 日 (火) 15 時 40 分 37 秒 (日本時間)
composite number 合成数
202539701608258912357937083709015193990851165347324592317714984812228769088643781457414946685195647959810178055924322364851673168964910316424110003331246031934867642928871172229977189084293400367344264184489367<210>
prime factors 素因数
3990047525691459226765165447967<31>
composite cofactor 合成数の残り
50761225349855850332979039514579560561742169675557326294604972514000174018920174379989729124923119808720218879285300215855412503336853468303738658512647916352466497805826526744201<179>
factorization results 素因数分解の結果
Input number is 202539701608258912357937083709015193990851165347324592317714984812228769088643781457414946685195647959810178055924322364851673168964910316424110003331246031934867642928871172229977189084293400367344264184489367 (210 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=1504418111
Step 1 took 5403ms
Step 2 took 3285ms
********** Factor found in step 2: 3990047525691459226765165447967
Found probable prime factor of 31 digits: 3990047525691459226765165447967
Composite cofactor 50761225349855850332979039514579560561742169675557326294604972514000174018920174379989729124923119808720218879285300215855412503336853468303738658512647916352466497805826526744201 has 179 digits

c179

name 名前Erik Branger
date 日付April 7, 2018 07:37:35 UTC 2018 年 4 月 7 日 (土) 16 時 37 分 35 秒 (日本時間)
composite number 合成数
50761225349855850332979039514579560561742169675557326294604972514000174018920174379989729124923119808720218879285300215855412503336853468303738658512647916352466497805826526744201<179>
prime factors 素因数
291043465615906762199289638998193804351238942397100899917631779879861678196788179219<84>
174411149353361512663730214463149037529453586333612439836661395981993985431497097019176625656179<96>
factorization results 素因数分解の結果
Number: 98999_220
N = 50761225349855850332979039514579560561742169675557326294604972514000174018920174379989729124923119808720218879285300215855412503336853468303738658512647916352466497805826526744201 (179 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=291043465615906762199289638998193804351238942397100899917631779879861678196788179219 (pp84)
r2=174411149353361512663730214463149037529453586333612439836661395981993985431497097019176625656179 (pp96)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 88.67 hours.
Factorization parameters were as follows:
n: 50761225349855850332979039514579560561742169675557326294604972514000174018920174379989729124923119808720218879285300215855412503336853468303738658512647916352466497805826526744201
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 99
c0: -1
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 27
mfbr: 58
mfba: 54
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 4
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/27
Total raw relations: 32191368
Relations: 8650374 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 46.28 hours.
Total relation processing time: 0.28 hours.
Pruned matrix : 7629238 x 7629463
Matrix solve time: 41.93 hours.
time per square root: 0.18 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,536870912,29,27,58,54,2.8,2.8,100000
total time: 88.67 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.16299-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:57 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 57 秒 (日本時間)
403e60--
4511e6601 / 4434CypJuly 14, 2015 18:57:47 UTC 2015 年 7 月 15 日 (水) 3 時 57 分 47 秒 (日本時間)

99×10221-1

c212

composite cofactor 合成数の残り
22269561744400063272558659854207584930139761338818932156050459924122675625133673509725871063911017144721624194118328808614354273414833267809586441538705274184423210206537632592168500163175587686765467798348325851<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:57 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 57 秒 (日本時間)
403e60--
4511e6601 / 4434CypJuly 14, 2015 21:07:08 UTC 2015 年 7 月 15 日 (水) 6 時 7 分 8 秒 (日本時間)

99×10223-1

c175

name 名前Cyp
date 日付November 29, 2014 20:50:37 UTC 2014 年 11 月 30 日 (日) 5 時 50 分 37 秒 (日本時間)
composite number 合成数
1725923042724516915119832245627218230427709117712426690200707053779229591602688158178181124740402145730383215390902459358335327379392428377214454391436824532777004845367214439<175>
prime factors 素因数
1147230244031810900948762945713933061<37>
11132222102417719148643292164998044193963<41>
1790383828031529384976192696686092116872887<43>
75481901222750178128017175663065236073034566963009408279<56>
factorization results 素因数分解の結果
Run 29 out of 601:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2278263429
Step 1 took 59344ms
Step 2 took 18779ms
********** Factor found in step 2: 11132222102417719148643292164998044193963
Found probable prime factor of 41 digits: 11132222102417719148643292164998044193963
Composite cofactor 155038502362405917070345297075502819060213728501136437044306079939316381308155827000387417167119052474792644850534323942944977247628853 has 135 digits
--
Run 244 out of 601:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=153334740
Step 1 took 35112ms
Step 2 took 13472ms
********** Factor found in step 2: 1147230244031810900948762945713933061
Found probable prime factor of 37 digits: 1147230244031810900948762945713933061
Composite cofactor 135141575258285242526908305621283560581015701229436675798280075542447897986119472890687421728431473 has 99 digits
--
Run 478 out of 601:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1458238504
Step 1 took 29147ms
Step 2 took 11244ms
********** Factor found in step 2: 1790383828031529384976192696686092116872887
Found probable prime factor of 43 digits: 1790383828031529384976192696686092116872887
Probable prime cofactor 75481901222750178128017175663065236073034566963009408279 has 56 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:57 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 57 秒 (日本時間)
403e60 / 423--
4511e6478 / 4434CypNovember 29, 2014 20:50:36 UTC 2014 年 11 月 30 日 (日) 5 時 50 分 36 秒 (日本時間)

99×10224-1

c179

name 名前Cyp
date 日付May 27, 2015 18:33:25 UTC 2015 年 5 月 28 日 (木) 3 時 33 分 25 秒 (日本時間)
composite number 合成数
26413351714439065123952491216344663796021297572585071306388306049793328994365363481104553326068531901273584264942552570878675332685182016045760571104795968322252342938544220809339<179>
prime factors 素因数
9324326371609179533481118929118408337375903<43>
2832735648857461098720497407909382906311947932222908304557997498488465419841572262216643499284425330135033786888225992563950439155714213<136>
factorization results 素因数分解の結果
Run 362 out of 601:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=490747903
Step 1 took 59213ms
Step 2 took 18899ms
********** Factor found in step 2: 9324326371609179533481118929118408337375903
Found probable prime factor of 43 digits: 9324326371609179533481118929118408337375903
Probable prime cofactor 2832735648857461098720497407909382906311947932222908304557997498488465419841572262216643499284425330135033786888225992563950439155714213 has 136 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:58 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 58 秒 (日本時間)
403e60 / 824--
4511e6362 / 4434CypMay 27, 2015 18:33:25 UTC 2015 年 5 月 28 日 (木) 3 時 33 分 25 秒 (日本時間)

99×10225-1

c196

composite cofactor 合成数の残り
1469272389536054704796101630087202852394178639139954248325789977595439002863880610514128543958352900064245423908728474986810548187945857127311595934000827340925568675233537207117793577959161134793<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:58 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 58 秒 (日本時間)
403e60--
4511e6601 / 4434345CypJanuary 6, 2015 21:26:39 UTC 2015 年 1 月 7 日 (水) 6 時 26 分 39 秒 (日本時間)
256CypMay 11, 2015 12:03:05 UTC 2015 年 5 月 11 日 (月) 21 時 3 分 5 秒 (日本時間)

99×10226-1

c192

composite cofactor 合成数の残り
270340966681931601329548838442064597042734560138260071476612937983031565357329660479793148628345936670369809698946376476124246189644168720788174919644676565447021052727726188605349448838999373<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:59 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 59 秒 (日本時間)
403e60--
4511e6601 / 4434CypDecember 1, 2014 15:27:07 UTC 2014 年 12 月 2 日 (火) 0 時 27 分 7 秒 (日本時間)

99×10227-1

c222

name 名前Serge Batalov
date 日付November 17, 2014 22:12:43 UTC 2014 年 11 月 18 日 (火) 7 時 12 分 43 秒 (日本時間)
composite number 合成数
346460706159010975770183024692254527952712243140944169816980207189801568655090982856179366417157798048334348159903444550836266904788993356318493138100742304311556504819005952439904028284632098450554230391960095845729656571<222>
prime factors 素因数
8420975080842271377787901537501<31>
47591813912536679044073654585689<32>
composite cofactor 合成数の残り
864488750528709147857650127729114078995412981920461251116025096236882585894213850073850279475079470812505462567172944460710504045608109401902940859363522109839<159>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=1650742261
Step 1 took 6785ms
Step 2 took 4288ms
********** Factor found in step 2: 8420975080842271377787901537501
Found probable prime factor of 31 digits: 8420975080842271377787901537501
 
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=153865685
Step 1 took 6007ms
Step 2 took 3587ms
********** Factor found in step 2: 47591813912536679044073654585689
Found probable prime factor of 32 digits: 47591813912536679044073654585689

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:59 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 59 秒 (日本時間)
403e60--
4511e64500Serge BatalovNovember 20, 2014 17:59:31 UTC 2014 年 11 月 21 日 (金) 2 時 59 分 31 秒 (日本時間)

99×10229-1

c231

name 名前Dmitry Domanov
date 日付March 24, 2017 06:38:27 UTC 2017 年 3 月 24 日 (金) 15 時 38 分 27 秒 (日本時間)
composite number 合成数
989999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<231>
prime factors 素因数
50548077638013050674449920334613826410478457550085766773313566314799<68>
19585314541328915857037914790116248844145263732064431396496806380255205386818063123590196977425504913668736401670190676558449880863734626182440940047477465657354801<164>
factorization results 素因数分解の結果
Sieving by NFS@home, filtering, LA and square root by Dmitry Domanov.

Tue Mar 21 10:11:19 2017  Msieve v. 1.52 (SVN exported)
Tue Mar 21 10:11:19 2017  random seeds: 4d11850c ad0e9fdf
Tue Mar 21 10:11:19 2017  factoring 989999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 (231 digits)
Tue Mar 21 10:11:22 2017  searching for 15-digit factors
Tue Mar 21 10:11:25 2017  commencing number field sieve (231-digit input)
Tue Mar 21 10:11:29 2017  R0: 100000000000000000000000000000000000000
Tue Mar 21 10:11:29 2017  R1: -1
Tue Mar 21 10:11:29 2017  A0: -1
Tue Mar 21 10:11:29 2017  A1: 0
Tue Mar 21 10:11:29 2017  A2: 0
Tue Mar 21 10:11:29 2017  A3: 0
Tue Mar 21 10:11:29 2017  A4: 0
Tue Mar 21 10:11:29 2017  A5: 0
Tue Mar 21 10:11:29 2017  A6: 990
Tue Mar 21 10:11:29 2017  skew 1.00, size 1.386e-11, alpha 1.167, combined = 7.844e-13 rroots = 2
Tue Mar 21 10:11:29 2017  
Tue Mar 21 10:11:29 2017  commencing relation filtering
Tue Mar 21 10:11:29 2017  setting target matrix density to 100.0
Tue Mar 21 10:11:29 2017  estimated available RAM is 96649.3 MB
Tue Mar 21 10:11:29 2017  commencing duplicate removal, pass 1
Tue Mar 21 10:36:16 2017  error -9 reading relation 49708512
Tue Mar 21 10:36:35 2017  error -15 reading relation 50472622
Tue Mar 21 10:46:20 2017  error -15 reading relation 72542269
Tue Mar 21 10:47:04 2017  error -15 reading relation 74237492
Tue Mar 21 10:47:16 2017  error -1 reading relation 74712844
Tue Mar 21 10:47:17 2017  error -5 reading relation 74773689
Tue Mar 21 10:48:39 2017  error -15 reading relation 78065015
Tue Mar 21 10:48:53 2017  error -9 reading relation 78675809
Tue Mar 21 10:50:22 2017  error -15 reading relation 82166633
Tue Mar 21 10:50:22 2017  error -15 reading relation 82169377
Tue Mar 21 10:50:22 2017  error -9 reading relation 82175702
Tue Mar 21 10:50:22 2017  error -15 reading relation 82179636
Tue Mar 21 10:51:08 2017  error -15 reading relation 83969793
Tue Mar 21 10:51:36 2017  error -9 reading relation 85062119
Tue Mar 21 10:51:43 2017  error -9 reading relation 85407600
Tue Mar 21 10:53:31 2017  error -15 reading relation 89771500
Tue Mar 21 10:53:38 2017  error -15 reading relation 90094257
Tue Mar 21 10:53:38 2017  error -11 reading relation 90097206
Tue Mar 21 10:53:39 2017  error -15 reading relation 90123671
Tue Mar 21 10:54:37 2017  error -15 reading relation 92741834
Tue Mar 21 10:54:58 2017  error -9 reading relation 93571323
Tue Mar 21 10:55:51 2017  error -15 reading relation 95504073
Tue Mar 21 10:56:19 2017  error -9 reading relation 96540957
Tue Mar 21 10:56:20 2017  error -9 reading relation 96562364
Tue Mar 21 10:56:21 2017  error -1 reading relation 96605986
Tue Mar 21 10:56:22 2017  error -1 reading relation 96629073
Tue Mar 21 10:56:22 2017  error -9 reading relation 96647496
Tue Mar 21 10:56:40 2017  error -9 reading relation 97365763
Tue Mar 21 10:56:43 2017  error -15 reading relation 97466012
Tue Mar 21 10:56:52 2017  error -15 reading relation 97858984
Tue Mar 21 10:56:52 2017  error -9 reading relation 97859821
Tue Mar 21 10:56:53 2017  error -15 reading relation 97871634
Tue Mar 21 10:57:08 2017  error -9 reading relation 98487136
Tue Mar 21 10:57:10 2017  error -9 reading relation 98563012
Tue Mar 21 10:57:29 2017  error -15 reading relation 99454632
Tue Mar 21 10:57:30 2017  error -15 reading relation 99528819
Tue Mar 21 10:57:30 2017  error -11 reading relation 99531979
Tue Mar 21 10:57:34 2017  error -15 reading relation 99731412
Tue Mar 21 10:57:40 2017  skipped 58 relations with b > 2^32
Tue Mar 21 10:57:40 2017  found 17598095 hash collisions in 100058998 relations
Tue Mar 21 10:58:16 2017  added 1218829 free relations
Tue Mar 21 10:58:16 2017  commencing duplicate removal, pass 2
Tue Mar 21 11:23:40 2017  found 16829636 duplicates and 84448191 unique relations
Tue Mar 21 11:23:40 2017  memory use: 660.8 MB
Tue Mar 21 11:23:40 2017  reading ideals above 720000
Tue Mar 21 11:23:41 2017  commencing singleton removal, initial pass
Tue Mar 21 12:12:22 2017  memory use: 2756.0 MB
Tue Mar 21 12:12:22 2017  reading all ideals from disk
Tue Mar 21 12:12:28 2017  memory use: 3218.0 MB
Tue Mar 21 12:12:44 2017  keeping 85238740 ideals with weight <= 200, target excess is 429425
Tue Mar 21 12:13:03 2017  commencing in-memory singleton removal
Tue Mar 21 12:13:18 2017  begin with 84448191 relations and 85238740 unique ideals
Tue Mar 21 12:16:15 2017  reduce to 46006378 relations and 42123745 ideals in 16 passes
Tue Mar 21 12:16:15 2017  max relations containing the same ideal: 137
Tue Mar 21 12:16:52 2017  removing 3293594 relations and 2893594 ideals in 400000 cliques
Tue Mar 21 12:16:54 2017  commencing in-memory singleton removal
Tue Mar 21 12:17:00 2017  begin with 42712784 relations and 42123745 unique ideals
Tue Mar 21 12:17:57 2017  reduce to 42515911 relations and 39030832 ideals in 9 passes
Tue Mar 21 12:17:57 2017  max relations containing the same ideal: 130
Tue Mar 21 12:18:31 2017  removing 2468843 relations and 2068843 ideals in 400000 cliques
Tue Mar 21 12:18:32 2017  commencing in-memory singleton removal
Tue Mar 21 12:18:38 2017  begin with 40047068 relations and 39030832 unique ideals
Tue Mar 21 12:19:24 2017  reduce to 39926596 relations and 36840289 ideals in 8 passes
Tue Mar 21 12:19:24 2017  max relations containing the same ideal: 126
Tue Mar 21 12:19:55 2017  removing 2207896 relations and 1807896 ideals in 400000 cliques
Tue Mar 21 12:19:57 2017  commencing in-memory singleton removal
Tue Mar 21 12:20:02 2017  begin with 37718700 relations and 36840289 unique ideals
Tue Mar 21 12:20:46 2017  reduce to 37616841 relations and 34929488 ideals in 8 passes
Tue Mar 21 12:20:46 2017  max relations containing the same ideal: 121
Tue Mar 21 12:21:15 2017  removing 2066883 relations and 1666883 ideals in 400000 cliques
Tue Mar 21 12:21:16 2017  commencing in-memory singleton removal
Tue Mar 21 12:21:21 2017  begin with 35549958 relations and 34929488 unique ideals
Tue Mar 21 12:22:08 2017  reduce to 35457816 relations and 33169551 ideals in 8 passes
Tue Mar 21 12:22:08 2017  max relations containing the same ideal: 116
Tue Mar 21 12:22:37 2017  removing 1975760 relations and 1575760 ideals in 400000 cliques
Tue Mar 21 12:22:38 2017  commencing in-memory singleton removal
Tue Mar 21 12:22:43 2017  begin with 33482056 relations and 33169551 unique ideals
Tue Mar 21 12:23:17 2017  reduce to 33394171 relations and 31505022 ideals in 7 passes
Tue Mar 21 12:23:17 2017  max relations containing the same ideal: 114
Tue Mar 21 12:23:42 2017  removing 1911055 relations and 1511055 ideals in 400000 cliques
Tue Mar 21 12:23:43 2017  commencing in-memory singleton removal
Tue Mar 21 12:23:48 2017  begin with 31483116 relations and 31505022 unique ideals
Tue Mar 21 12:24:22 2017  reduce to 31396856 relations and 29906813 ideals in 8 passes
Tue Mar 21 12:24:22 2017  max relations containing the same ideal: 107
Tue Mar 21 12:24:46 2017  removing 1862480 relations and 1462480 ideals in 400000 cliques
Tue Mar 21 12:24:47 2017  commencing in-memory singleton removal
Tue Mar 21 12:24:51 2017  begin with 29534376 relations and 29906813 unique ideals
Tue Mar 21 12:25:20 2017  reduce to 29447647 relations and 28356629 ideals in 7 passes
Tue Mar 21 12:25:20 2017  max relations containing the same ideal: 105
Tue Mar 21 12:25:43 2017  removing 1826662 relations and 1426662 ideals in 400000 cliques
Tue Mar 21 12:25:44 2017  commencing in-memory singleton removal
Tue Mar 21 12:25:47 2017  begin with 27620985 relations and 28356629 unique ideals
Tue Mar 21 12:26:19 2017  reduce to 27532513 relations and 26840462 ideals in 8 passes
Tue Mar 21 12:26:19 2017  max relations containing the same ideal: 99
Tue Mar 21 12:26:40 2017  removing 990232 relations and 796314 ideals in 193918 cliques
Tue Mar 21 12:26:41 2017  commencing in-memory singleton removal
Tue Mar 21 12:26:44 2017  begin with 26542281 relations and 26840462 unique ideals
Tue Mar 21 12:27:15 2017  reduce to 26516552 relations and 26018232 ideals in 7 passes
Tue Mar 21 12:27:15 2017  max relations containing the same ideal: 98
Tue Mar 21 12:27:42 2017  relations with 0 large ideals: 16114
Tue Mar 21 12:27:42 2017  relations with 1 large ideals: 5306
Tue Mar 21 12:27:42 2017  relations with 2 large ideals: 60690
Tue Mar 21 12:27:42 2017  relations with 3 large ideals: 447992
Tue Mar 21 12:27:42 2017  relations with 4 large ideals: 1828413
Tue Mar 21 12:27:42 2017  relations with 5 large ideals: 4475780
Tue Mar 21 12:27:42 2017  relations with 6 large ideals: 6849061
Tue Mar 21 12:27:42 2017  relations with 7+ large ideals: 12833196
Tue Mar 21 12:27:42 2017  commencing 2-way merge
Tue Mar 21 12:28:11 2017  reduce to 17119136 relation sets and 16620816 unique ideals
Tue Mar 21 12:28:11 2017  commencing full merge
Tue Mar 21 12:40:16 2017  memory use: 2223.5 MB
Tue Mar 21 12:40:19 2017  found 8104945 cycles, need 8061016
Tue Mar 21 12:40:23 2017  weight of 8061016 cycles is about 806686986 (100.07/cycle)
Tue Mar 21 12:40:23 2017  distribution of cycle lengths:
Tue Mar 21 12:40:23 2017  1 relations: 577884
Tue Mar 21 12:40:23 2017  2 relations: 696706
Tue Mar 21 12:40:23 2017  3 relations: 728164
Tue Mar 21 12:40:23 2017  4 relations: 691713
Tue Mar 21 12:40:23 2017  5 relations: 653496
Tue Mar 21 12:40:23 2017  6 relations: 608083
Tue Mar 21 12:40:23 2017  7 relations: 557753
Tue Mar 21 12:40:23 2017  8 relations: 512574
Tue Mar 21 12:40:23 2017  9 relations: 464351
Tue Mar 21 12:40:23 2017  10+ relations: 2570292
Tue Mar 21 12:40:23 2017  heaviest cycle: 28 relations
Tue Mar 21 12:40:27 2017  commencing cycle optimization
Tue Mar 21 12:40:50 2017  start with 61937457 relations
Tue Mar 21 12:44:34 2017  pruned 2312544 relations
Tue Mar 21 12:44:34 2017  memory use: 1736.6 MB
Tue Mar 21 12:44:34 2017  distribution of cycle lengths:
Tue Mar 21 12:44:34 2017  1 relations: 577884
Tue Mar 21 12:44:34 2017  2 relations: 712768
Tue Mar 21 12:44:34 2017  3 relations: 757333
Tue Mar 21 12:44:34 2017  4 relations: 715809
Tue Mar 21 12:44:34 2017  5 relations: 679406
Tue Mar 21 12:44:34 2017  6 relations: 628102
Tue Mar 21 12:44:34 2017  7 relations: 576716
Tue Mar 21 12:44:34 2017  8 relations: 525527
Tue Mar 21 12:44:34 2017  9 relations: 475999
Tue Mar 21 12:44:34 2017  10+ relations: 2411472
Tue Mar 21 12:44:34 2017  heaviest cycle: 28 relations
Tue Mar 21 12:44:56 2017  RelProcTime: 9207
Tue Mar 21 12:44:56 2017  elapsed time 02:33:37
Tue Mar 21 12:55:18 2017  
Tue Mar 21 12:55:18 2017  
Tue Mar 21 12:55:18 2017  Msieve v. 1.52 (SVN exported)
Tue Mar 21 12:55:18 2017  random seeds: 381e4e52 a32aee28
Tue Mar 21 12:55:18 2017  factoring 989999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 (231 digits)
Tue Mar 21 12:55:21 2017  searching for 15-digit factors
Tue Mar 21 12:55:24 2017  commencing number field sieve (231-digit input)
Tue Mar 21 12:55:24 2017  R0: 100000000000000000000000000000000000000
Tue Mar 21 12:55:24 2017  R1: -1
Tue Mar 21 12:55:24 2017  A0: -1
Tue Mar 21 12:55:24 2017  A1: 0
Tue Mar 21 12:55:24 2017  A2: 0
Tue Mar 21 12:55:24 2017  A3: 0
Tue Mar 21 12:55:24 2017  A4: 0
Tue Mar 21 12:55:24 2017  A5: 0
Tue Mar 21 12:55:24 2017  A6: 990
Tue Mar 21 12:55:24 2017  skew 1.00, size 1.386e-11, alpha 1.167, combined = 7.844e-13 rroots = 2
Tue Mar 21 12:55:24 2017  
Tue Mar 21 12:55:24 2017  commencing linear algebra
Tue Mar 21 12:55:25 2017  read 8061016 cycles
Tue Mar 21 12:55:49 2017  cycles contain 26225931 unique relations
Tue Mar 21 13:15:56 2017  read 26225931 relations
Tue Mar 21 13:17:15 2017  using 20 quadratic characters above 1073740784
Tue Mar 21 13:20:26 2017  building initial matrix
Tue Mar 21 13:28:17 2017  memory use: 3253.0 MB
Tue Mar 21 13:28:24 2017  read 8061016 cycles
Tue Mar 21 13:28:27 2017  matrix is 8060838 x 8061016 (3247.5 MB) with weight 940525124 (116.68/col)
Tue Mar 21 13:28:27 2017  sparse part has weight 762643287 (94.61/col)
Tue Mar 21 13:31:16 2017  filtering completed in 2 passes
Tue Mar 21 13:31:20 2017  matrix is 8060238 x 8060416 (3247.5 MB) with weight 940505573 (116.68/col)
Tue Mar 21 13:31:20 2017  sparse part has weight 762637450 (94.62/col)
Tue Mar 21 13:32:36 2017  matrix starts at (0, 0)
Tue Mar 21 13:32:38 2017  matrix is 8060238 x 8060416 (3247.5 MB) with weight 940505573 (116.68/col)
Tue Mar 21 13:32:38 2017  sparse part has weight 762637450 (94.62/col)
Tue Mar 21 13:32:38 2017  saving the first 48 matrix rows for later
Tue Mar 21 13:32:40 2017  matrix includes 64 packed rows
Tue Mar 21 13:32:42 2017  matrix is 8060190 x 8060416 (3117.5 MB) with weight 795143552 (98.65/col)
Tue Mar 21 13:32:42 2017  sparse part has weight 736639952 (91.39/col)
Tue Mar 21 13:32:43 2017  using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
Tue Mar 21 13:33:39 2017  commencing Lanczos iteration (12 threads)
Tue Mar 21 13:33:39 2017  memory use: 2630.1 MB
Tue Mar 21 13:34:22 2017  linear algebra at 0.0%, ETA 61h51m
Tue Mar 21 13:34:37 2017  checkpointing every 130000 dimensions
Thu Mar 23 21:46:21 2017  lanczos halted after 127463 iterations (dim = 8060188)
Thu Mar 23 21:46:33 2017  recovered 35 nontrivial dependencies
Thu Mar 23 21:46:33 2017  BLanczosTime: 204669
Thu Mar 23 21:46:33 2017  
Thu Mar 23 21:46:33 2017  commencing square root phase
Thu Mar 23 21:46:33 2017  reading relations for dependency 1
Thu Mar 23 21:46:36 2017  read 4026862 cycles
Thu Mar 23 21:46:47 2017  cycles contain 13105958 unique relations
Thu Mar 23 22:05:10 2017  read 13105958 relations
Thu Mar 23 22:06:54 2017  multiplying 13105958 relations
Thu Mar 23 22:27:14 2017  multiply complete, coefficients have about 441.43 million bits
Thu Mar 23 22:27:17 2017  initial square root is modulo 83301481
Thu Mar 23 22:54:15 2017  sqrtTime: 4062
Thu Mar 23 22:54:15 2017  prp68 factor: 50548077638013050674449920334613826410478457550085766773313566314799
Thu Mar 23 22:54:15 2017  prp164 factor: 19585314541328915857037914790116248844145263732064431396496806380255205386818063123590196977425504913668736401670190676558449880863734626182440940047477465657354801
Thu Mar 23 22:54:15 2017  elapsed time 57:58:57

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:53:59 UTC 2014 年 11 月 18 日 (火) 5 時 53 分 59 秒 (日本時間)
403e620802000Serge BatalovNovember 22, 2014 04:47:40 UTC 2014 年 11 月 22 日 (土) 13 時 47 分 40 秒 (日本時間)
80Serge BatalovNovember 22, 2014 04:55:40 UTC 2014 年 11 月 22 日 (土) 13 時 55 分 40 秒 (日本時間)
4511e640001000Serge BatalovDecember 18, 2014 00:18:47 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 47 秒 (日本時間)
2000Serge BatalovDecember 20, 2014 04:02:01 UTC 2014 年 12 月 20 日 (土) 13 時 2 分 1 秒 (日本時間)
1000Serge BatalovDecember 21, 2014 10:24:45 UTC 2014 年 12 月 21 日 (日) 19 時 24 分 45 秒 (日本時間)
5043e62000 / 6571Serge BatalovDecember 21, 2014 12:18:38 UTC 2014 年 12 月 21 日 (日) 21 時 18 分 38 秒 (日本時間)

99×10230-1

c198

composite cofactor 合成数の残り
143503266474277664435589851822677642532077006478051856825919325541656159129406909590701499409767411389527755570932695022609761915977838212904787862924911451094609370960939587641674639871801628767617<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:00 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 0 秒 (日本時間)
403e62100Youcef LemsaferNovember 21, 2014 21:13:22 UTC 2014 年 11 月 22 日 (土) 6 時 13 分 22 秒 (日本時間)

99×10231-1

c224

composite cofactor 合成数の残り
18817763403968381298316649694694590552080258591180455939508931733646113503714435752250672788786364621874443225267319686914211400564767192777351756391805602986430449414069314571166092629621878365493427328652046441340629918939<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:00 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 0 秒 (日本時間)
403e62400Youcef LemsaferNovember 22, 2014 22:29:31 UTC 2014 年 11 月 23 日 (日) 7 時 29 分 31 秒 (日本時間)

99×10232-1

c199

composite cofactor 合成数の残り
6937320621818243692594687022176823649618213044400959149383628486757599019509091124539923303033675377717330123577158109611437572263732619536722210291857893568555857530147951452345768896620563864393277<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:01 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 1 秒 (日本時間)
403e62350Youcef LemsaferNovember 22, 2014 12:43:48 UTC 2014 年 11 月 22 日 (土) 21 時 43 分 48 秒 (日本時間)

99×10233-1

c200

composite cofactor 合成数の残り
14081945129646444028218360552444276389531391589544452804668623597132713971886864823946887329913907488492040227462269448298523228462561400155842197318383941032889907866895067469195736454525578101594061<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:01 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 1 秒 (日本時間)
403e62500Youcef LemsaferNovember 22, 2014 05:21:20 UTC 2014 年 11 月 22 日 (土) 14 時 21 分 20 秒 (日本時間)

99×10234-1

c225

composite cofactor 合成数の残り
311092377857001464855822586665756052057674530471201903920202372802351675672988119832673955793787429338862270378285311961216745191169208734228521002657655921334292110183297836123784004730615019418111914630748335867369202780503<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:02 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 2 秒 (日本時間)
403e62400Youcef LemsaferNovember 23, 2014 07:16:37 UTC 2014 年 11 月 23 日 (日) 16 時 16 分 37 秒 (日本時間)

99×10235-1

c230

composite cofactor 合成数の残り
69433334916039317783118455864349987210940785919424648735706639531090739479745138982742730347367961116771369564115057067538506219648778138121979781433680539750899845500309609552511975321569269114558760624790604140849798092771491879<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:02 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 2 秒 (日本時間)
403e62400Youcef LemsaferNovember 23, 2014 17:05:00 UTC 2014 年 11 月 24 日 (月) 2 時 5 分 0 秒 (日本時間)

99×10237-1

c185

composite cofactor 合成数の残り
97033162936958098135945497806680524651042128184845123973143265649412225736380044980154083090163392840646367176357528158684186759200729964146342932281418273060827631619490799035806728151<185>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:02 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 2 秒 (日本時間)
403e62400Youcef LemsaferNovember 24, 2014 05:06:16 UTC 2014 年 11 月 24 日 (月) 14 時 6 分 16 秒 (日本時間)

99×10239-1

c214

composite cofactor 合成数の残り
3866658632315851502898477005392013907058530348544002902849217900123788591916840869412237828547604563120841071166500903439789507476530846028945409779248551402341060923960132652034432331696797040525020835093400470899<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:03 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 3 秒 (日本時間)
403e62107Youcef LemsaferNovember 24, 2014 08:28:12 UTC 2014 年 11 月 24 日 (月) 17 時 28 分 12 秒 (日本時間)

99×10242-1

c174

name 名前Youcef Lemsafer
date 日付November 25, 2014 07:20:53 UTC 2014 年 11 月 25 日 (火) 16 時 20 分 53 秒 (日本時間)
composite number 合成数
172973287014827584011227750384606616795373070893556410136431140577888791404792466777948951772810913540539698020059290756678109049226683037800266687708064585263099228463702161<174>
prime factors 素因数
67781601143884668395067656989552337279837<41>
2551920935707099724696395654056392235976643559876831806869122133351906174639613324612909789930582342708043591443829600718783706528453<133>
factorization results 素因数分解の結果
[Tue Nov 25 06:33:12 2014]
ECM found a factor in curve #1056, stage #1
Sigma=6764799772283017, B1=3000000, B2=3000000.
99*10^242-1 has a factor: 67781601143884668395067656989552337279837 (ECM curve 1056, B1=3000000, B2=3000000)
Cofactor is a probable prime!
software ソフトウェア
Prime95 v28.5

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:03 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 3 秒 (日本時間)
403e62158Youcef LemsaferNovember 25, 2014 07:19:19 UTC 2014 年 11 月 25 日 (火) 16 時 19 分 19 秒 (日本時間)

99×10243-1

c242

composite cofactor 合成数の残り
10842185959916767057277406636732011827839229000109517029898149162194721279158909210382214434344540576059577264264593144233928375862446610447924652283430073376410031759938670463257036469170956083671010842185959916767057277406636732011827839229<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:04 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 4 秒 (日本時間)
403e62100Serge BatalovNovember 19, 2014 00:24:33 UTC 2014 年 11 月 19 日 (水) 9 時 24 分 33 秒 (日本時間)
4511e64440Serge BatalovNovember 19, 2014 00:30:20 UTC 2014 年 11 月 19 日 (水) 9 時 30 分 20 秒 (日本時間)

99×10244-1

c245

composite cofactor 合成数の残り
18679245283018867924528301886792452830188679245283018867924528301886792452830188679245283018867924528301886792452830188679245283018867924528301886792452830188679245283018867924528301886792452830188679245283018867924528301886792452830188679245283<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:04 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 4 秒 (日本時間)
403e62100Serge BatalovNovember 19, 2014 00:15:40 UTC 2014 年 11 月 19 日 (水) 9 時 15 分 40 秒 (日本時間)
4511e64440Serge BatalovNovember 19, 2014 00:30:37 UTC 2014 年 11 月 19 日 (水) 9 時 30 分 37 秒 (日本時間)

99×10245-1

c198

composite cofactor 合成数の残り
349412130183358391764256207027961147710692891711203939647549585917326678389426902534353821281799724098877168710653925577059104400583045866456210660547011853304693783315727302469681657427363835162877<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:05 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 5 秒 (日本時間)
403e62400Youcef LemsaferNovember 26, 2014 05:26:33 UTC 2014 年 11 月 26 日 (水) 14 時 26 分 33 秒 (日本時間)

99×10246-1

c237

composite cofactor 合成数の残り
666420228805639265542721290083166218266638081842311313555809621928194148447431019124722260156722162471256386019459601689917525294770552503173378811577144164647498588787059376130157685316673474628700151572521185844787639362005326141229003<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:05 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 5 秒 (日本時間)
403e62400Youcef LemsaferNovember 27, 2014 04:57:43 UTC 2014 年 11 月 27 日 (木) 13 時 57 分 43 秒 (日本時間)

99×10247-1

c214

composite cofactor 合成数の残り
1120100674524657814380442378232219486806111412912303122659262749446445541663113749556030313970638203613911810293452897350001931683531049483601265107945682283500192490374308076980567139166310114783988652773372664959<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:06 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 6 秒 (日本時間)
403e60--
4511e6601 / 4434CypJune 3, 2015 05:21:54 UTC 2015 年 6 月 3 日 (水) 14 時 21 分 54 秒 (日本時間)

99×10248-1

c236

composite cofactor 合成数の残り
97127290597456341013140933498884584329354935155040477477494081786248852754846988404761385173246209383897075289765347700225868015980159373539778423864366676998874541091415476518034504500798016306202881302578027152160758049543076647701811<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:06 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 6 秒 (日本時間)
403e60--
4511e6601 / 4434CypDecember 6, 2014 05:13:18 UTC 2014 年 12 月 6 日 (土) 14 時 13 分 18 秒 (日本時間)

99×10249-1

c215

name 名前Serge Batalov
date 日付November 18, 2014 06:39:23 UTC 2014 年 11 月 18 日 (火) 15 時 39 分 23 秒 (日本時間)
composite number 合成数
60037705490493842224579953872979788126037959433966336593823447353435048680145608087631777122344425602172125248472722155655211634810694989996999296550791829456912579955010805552145151170000413965890447986573322656783<215>
prime factors 素因数
938115853044454195429295080118737<33>
63998178152148607498146070652745807777858896867520846329023873927206562476761938638671268462235077798443111234624841465860232547389164079983390979184671291636357046937524281114324959<182>
factorization results 素因数分解の結果
Input number is 60037705490493842224579953872979788126037959433966336593823447353435048680145608087631777122344425602172125248472722155655211634810694989996999296550791829456912579955010805552145151170000413965890447986573322656783 (215 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=639882520
Step 1 took 6022ms
********** Factor found in step 1: 938115853044454195429295080118737
Found probable prime factor of 33 digits: 938115853044454195429295080118737
Probable prime cofactor 63998178152148607498146070652745807777858896867520846329023873927206562476761938638671268462235077798443111234624841465860232547389164079983390979184671291636357046937524281114324959 has 182 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:06 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 6 秒 (日本時間)

99×10250-1

c203

composite cofactor 合成数の残り
69353554194663080888928683113704199938603113896193005624953487446121305341524154850101353731873311744260961993547904396899812651995357287275475198180277190275449264241337584088934216395115550718763220541<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:54:07 UTC 2014 年 11 月 18 日 (火) 5 時 54 分 7 秒 (日本時間)
403e60--
4511e61801 / 3381601CypDecember 4, 2014 15:12:06 UTC 2014 年 12 月 5 日 (金) 0 時 12 分 6 秒 (日本時間)
1200Dmitry DomanovDecember 10, 2014 14:55:10 UTC 2014 年 12 月 10 日 (水) 23 時 55 分 10 秒 (日本時間)
5043e6300 / 7143Dmitry DomanovDecember 18, 2014 19:10:54 UTC 2014 年 12 月 19 日 (金) 4 時 10 分 54 秒 (日本時間)