Table of contents 目次

5×10102+9

c97

name 名前Robert Backstrom
date 日付December 16, 2007 02:09:04 UTC 2007 年 12 月 16 日 (日) 11 時 9 分 4 秒 (日本時間)
composite number 合成数
4435923528227112187167582980603480780474129250391026659013219939298822439740196830798794493421969<97>
prime factors 素因数
31854706908327006451053849450780933259103<41>
139254884403520782870512217316445103008038584589836414223<57>
factorization results 素因数分解の結果
GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 4435923528227112187167582980603480780474129250391026659013219939298822439740196830798794493421969 (97 digits)
Using B1=1368000, B2=1312036254, polynomial Dickson(6), sigma=184601020
Step 1 took 13297ms
Step 2 took 8781ms
********** Factor found in step 2: 31854706908327006451053849450780933259103
Found probable prime factor of 41 digits: 31854706908327006451053849450780933259103
Probable prime cofactor 139254884403520782870512217316445103008038584589836414223 has 57 digits

5×10107+9

c107

name 名前Sinkiti Sibata
date 日付December 16, 2007 10:46:15 UTC 2007 年 12 月 16 日 (日) 19 時 46 分 15 秒 (日本時間)
composite number 合成数
26315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684211<107>
prime factors 素因数
22161612064368328651072431710802457<35>
1187449243189082427047892522175799526276103441537325771419337450292326123<73>
factorization results 素因数分解の結果
Number: 50009_107
N=26315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684211
  ( 107 digits)
SNFS difficulty: 107 digits.
Divisors found:
 r1=22161612064368328651072431710802457 (pp35)
 r2=1187449243189082427047892522175799526276103441537325771419337450292326123 (pp73)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 1.95 hours.
Scaled time: 1.31 units (timescale=0.674).
Factorization parameters were as follows:
name: 50009_107
n: 26315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684211
m: 1000000000000000000000
c5: 500
c0: 9
skew: 0.45
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 500001)
Primes: RFBsize:49098, AFBsize:64083, largePrimes:2414537 encountered
Relations: rels:2970085, finalFF:672208
Max relations in full relation-set: 28
Initial matrix: 113248 x 672208 with sparse part having weight 51031416.
Pruned matrix : 58155 x 58785 with weight 4968824.
Total sieving time: 1.78 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,107,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.95 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

5×10114+9

c105

name 名前Sinkiti Sibata
date 日付December 16, 2007 13:29:45 UTC 2007 年 12 月 16 日 (日) 22 時 29 分 45 秒 (日本時間)
composite number 合成数
382270804004751115685801549224284849574629336415081490606549481511433152190319400016180865627738226555061<105>
prime factors 素因数
70541614319082877066125526339209355501<38>
5419082164403195929289385747756719945734828037540124137574223619561<67>
factorization results 素因数分解の結果
Number: 50009_114
N=382270804004751115685801549224284849574629336415081490606549481511433152190319400016180865627738226555061
  ( 105 digits)
SNFS difficulty: 115 digits.
Divisors found:
 r1=70541614319082877066125526339209355501 (pp38)
 r2=5419082164403195929289385747756719945734828037540124137574223619561 (pp67)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 1.67 hours.
Scaled time: 1.13 units (timescale=0.674).
Factorization parameters were as follows:
name: 50009_114
n: 382270804004751115685801549224284849574629336415081490606549481511433152190319400016180865627738226555061
m: 100000000000000000000000
c5: 1
c0: 18
skew: 1.78
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 500001)
Primes: RFBsize:49098, AFBsize:63888, largePrimes:2196933 encountered
Relations: rels:2439165, finalFF:379789
Max relations in full relation-set: 28
Initial matrix: 113053 x 379789 with sparse part having weight 30408564.
Pruned matrix : 65611 x 66240 with weight 4277422.
Total sieving time: 1.50 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,115,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.67 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

5×10116+9

c106

name 名前Sinkiti Sibata
date 日付December 16, 2007 21:00:17 UTC 2007 年 12 月 17 日 (月) 6 時 0 分 17 秒 (日本時間)
composite number 合成数
6007470579778724082070197662126840225249465868554753560298389981872307218603794018676645158186753206767301<106>
prime factors 素因数
1770527491110016131038045568525078001<37>
3393039989462346591698405537211579666741526697212892785900831616289301<70>
factorization results 素因数分解の結果
Number: 50009_116
N=6007470579778724082070197662126840225249465868554753560298389981872307218603794018676645158186753206767301
  ( 106 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=1770527491110016131038045568525078001 (pp37)
 r2=3393039989462346591698405537211579666741526697212892785900831616289301 (pp70)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 1.65 hours.
Scaled time: 1.11 units (timescale=0.674).
Factorization parameters were as follows:
name: 50009_116
n: 6007470579778724082070197662126840225249465868554753560298389981872307218603794018676645158186753206767301
m: 100000000000000000000000
c5: 50
c0: 9
skew: 0.71
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 500001)
Primes: RFBsize:49098, AFBsize:64058, largePrimes:1928320 encountered
Relations: rels:1872426, finalFF:132412
Max relations in full relation-set: 28
Initial matrix: 113221 x 132412 with sparse part having weight 9758667.
Pruned matrix : 104806 x 105436 with weight 6199905.
Total sieving time: 1.39 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.17 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,116,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.65 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

5×10121+9

c120

name 名前Sinkiti Sibata
date 日付December 16, 2007 05:14:06 UTC 2007 年 12 月 16 日 (日) 14 時 14 分 6 秒 (日本時間)
composite number 合成数
124688279301745635910224438902743142144638403990024937655860349127182044887780548628428927680798004987531172069825436409<120>
prime factors 素因数
234394740470022334833839226247804877881<39>
531958520279564508033197824266783726238632647326464705045488524626649705389905089<81>
factorization results 素因数分解の結果
Number: 50009_121
N=124688279301745635910224438902743142144638403990024937655860349127182044887780548628428927680798004987531172069825436409
  ( 120 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=234394740470022334833839226247804877881 (pp39)
 r2=531958520279564508033197824266783726238632647326464705045488524626649705389905089 (pp81)
Version: GGNFS-0.77.1-20060513-k8
Total time: 2.07 hours.
Scaled time: 4.13 units (timescale=1.992).
Factorization parameters were as follows:
name: 50009_121
n: 124688279301745635910224438902743142144638403990024937655860349127182044887780548628428927680798004987531172069825436409
m: 1000000000000000000000000
c5: 50
c0: 9
skew: 0.71
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 550001)
Primes: RFBsize:49098, AFBsize:64058, largePrimes:2256398 encountered
Relations: rels:2489942, finalFF:350248
Max relations in full relation-set: 28
Initial matrix: 113221 x 350248 with sparse part having weight 32201932.
Pruned matrix : 75006 x 75636 with weight 5986172.
Total sieving time: 1.95 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,121,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.07 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

5×10126+9

c124

name 名前Jo Yeong Uk
date 日付December 16, 2007 09:26:31 UTC 2007 年 12 月 16 日 (日) 18 時 26 分 31 秒 (日本時間)
composite number 合成数
1320306311064166886717718510694481119619751782413519936625297068919989437549511486664906258251914444151043041985740691840507<124>
prime factors 素因数
18583998288422002372740046473239078846323774567438627504014367<62>
71045331073170059497410700220270620432737612295639886159776421<62>
factorization results 素因数分解の結果
Number: 50009_126
N=1320306311064166886717718510694481119619751782413519936625297068919989437549511486664906258251914444151043041985740691840507
  ( 124 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=18583998288422002372740046473239078846323774567438627504014367 (pp62)
 r2=71045331073170059497410700220270620432737612295639886159776421 (pp62)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 1.52 hours.
Scaled time: 3.25 units (timescale=2.136).
Factorization parameters were as follows:
n: 1320306311064166886717718510694481119619751782413519936625297068919989437549511486664906258251914444151043041985740691840507
m: 10000000000000000000000000
c5: 50
c0: 9
skew: 0.71
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [400000, 720001)
Primes: RFBsize:63951, AFBsize:64058, largePrimes:1387334 encountered
Relations: rels:1376239, finalFF:164736
Max relations in full relation-set: 28
Initial matrix: 128074 x 164736 with sparse part having weight 7959278.
Pruned matrix : 112535 x 113239 with weight 4175510.
Total sieving time: 1.46 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,126,5,0,0,0,0,0,0,0,0,800000,800000,25,25,45,45,2.2,2.2,40000
total time: 1.52 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2115k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407682)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405127)
Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405112)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405126)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

5×10129+9

c118

name 名前Jo Yeong Uk
date 日付December 16, 2007 11:29:59 UTC 2007 年 12 月 16 日 (日) 20 時 29 分 59 秒 (日本時間)
composite number 合成数
1385613673935590348953591613436489741829549505362287644707221680889335587698736375275354448321494087870618987366346297<118>
prime factors 素因数
55851141761388119444538473036013289<35>
188165401070611685235607528162110379<36>
131847024827184141097638546699400890537611235187<48>
factorization results 素因数分解の結果
Number: 50009_129
N=1385613673935590348953591613436489741829549505362287644707221680889335587698736375275354448321494087870618987366346297
  ( 118 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=55851141761388119444538473036013289 (pp35)
 r2=188165401070611685235607528162110379 (pp36)
 r3=131847024827184141097638546699400890537611235187 (pp48)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 1.96 hours.
Scaled time: 4.16 units (timescale=2.127).
Factorization parameters were as follows:
n: 1385613673935590348953591613436489741829549505362287644707221680889335587698736375275354448321494087870618987366346297
m: 100000000000000000000000000
c5: 1
c0: 18
skew: 1.78
type: snfs
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [500000, 900001)
Primes: RFBsize:78498, AFBsize:78486, largePrimes:1556493 encountered
Relations: rels:1609896, finalFF:225323
Max relations in full relation-set: 28
Initial matrix: 157051 x 225323 with sparse part having weight 11609462.
Pruned matrix : 126069 x 126918 with weight 5246803.
Total sieving time: 1.89 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,130,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,46,46,2.2,2.2,50000
total time: 1.96 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2115k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407682)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405127)
Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405112)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405126)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

5×10133+9

c134

name 名前Jo Yeong Uk
date 日付December 16, 2007 01:19:32 UTC 2007 年 12 月 16 日 (日) 10 時 19 分 32 秒 (日本時間)
composite number 合成数
50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009<134>
prime factors 素因数
1808856091842673778141469519200801928271629226769243833<55>
27641778815618891492508230793764960546620767858028425576294203682615206075499473<80>
factorization results 素因数分解の結果
Number: 50009_133
N=50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009
  ( 134 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=1808856091842673778141469519200801928271629226769243833 (pp55)
 r2=27641778815618891492508230793764960546620767858028425576294203682615206075499473 (pp80)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 2.70 hours.
Scaled time: 5.79 units (timescale=2.145).
Factorization parameters were as follows:
n: 50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009
m: 1000000000000000000000000000
c5: 1
c0: 180
skew: 2.83
type: snfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [600000, 1150001)
Primes: RFBsize:92938, AFBsize:92784, largePrimes:1635992 encountered
Relations: rels:1676140, finalFF:218361
Max relations in full relation-set: 28
Initial matrix: 185786 x 218361 with sparse part having weight 11337457.
Pruned matrix : 170705 x 171697 with weight 7105532.
Total sieving time: 2.59 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,135,5,0,0,0,0,0,0,0,0,1200000,1200000,25,25,46,46,2.2,2.2,50000
total time: 2.70 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2115k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407682)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405127)
Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405112)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405126)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

5×10137+9

c98

name 名前Sinkiti Sibata
date 日付December 16, 2007 21:05:54 UTC 2007 年 12 月 17 日 (月) 6 時 5 分 54 秒 (日本時間)
composite number 合成数
15132084844002305813551973140721593577879529754928485014234706791511561393412085501945537540581801<98>
prime factors 素因数
54141127725421474038977984368371957931<38>
279493344149482372551112704180571406141518303948937390507771<60>
factorization results 素因数分解の結果
Number: 50009_137
N=15132084844002305813551973140721593577879529754928485014234706791511561393412085501945537540581801
  ( 98 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=54141127725421474038977984368371957931 (pp38)
 r2=279493344149482372551112704180571406141518303948937390507771 (pp60)
Version: GGNFS-0.77.1-20060513-k8
Total time: 12.19 hours.
Scaled time: 24.20 units (timescale=1.985).
Factorization parameters were as follows:
name: 50009_137
n: 15132084844002305813551973140721593577879529754928485014234706791511561393412085501945537540581801
m: 1000000000000000000000000000
c5: 500
c0: 9
skew: 0.45
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 1975001)
Primes: RFBsize:78498, AFBsize:64083, largePrimes:1684652 encountered
Relations: rels:1727895, finalFF:191071
Max relations in full relation-set: 28
Initial matrix: 142648 x 191071 with sparse part having weight 20882416.
Pruned matrix : 131206 x 131983 with weight 12913225.
Total sieving time: 11.87 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,137,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 12.19 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

5×10138+9

c114

name 名前Jo Yeong Uk
date 日付December 16, 2007 16:16:46 UTC 2007 年 12 月 17 日 (月) 1 時 16 分 46 秒 (日本時間)
composite number 合成数
443054773188660674408303607729086637392367280159933140054775228028741936788471173247150308418917853949686442387261<114>
prime factors 素因数
946212734975879332729540202137182929419049849<45>
468240129107916666081642626977725725851067323112806555638980157404389<69>
factorization results 素因数分解の結果
Number: 50009_138
N=443054773188660674408303607729086637392367280159933140054775228028741936788471173247150308418917853949686442387261
  ( 114 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=946212734975879332729540202137182929419049849 (pp45)
 r2=468240129107916666081642626977725725851067323112806555638980157404389 (pp69)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 4.63 hours.
Scaled time: 9.87 units (timescale=2.129).
Factorization parameters were as follows:
n: 443054773188660674408303607729086637392367280159933140054775228028741936788471173247150308418917853949686442387261
m: 10000000000000000000000000000
c5: 1
c0: 180
skew: 2.83
type: snfs
Factor base limits: 1400000/1400000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 47/47
Sieved algebraic special-q in [700000, 1000001)
Primes: RFBsize:107126, AFBsize:107118, largePrimes:2193538 encountered
Relations: rels:2294860, finalFF:267501
Max relations in full relation-set: 28
Initial matrix: 214308 x 267501 with sparse part having weight 20336589.
Pruned matrix : 188484 x 189619 with weight 11495582.
Total sieving time: 4.48 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,140,5,0,0,0,0,0,0,0,0,1400000,1400000,25,25,47,47,2.3,2.3,50000
total time: 4.63 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2115k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407682)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405127)
Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405112)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405126)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

5×10145+9

c108

name 名前Robert Backstrom
date 日付December 18, 2007 04:12:22 UTC 2007 年 12 月 18 日 (火) 13 時 12 分 22 秒 (日本時間)
composite number 合成数
903952834919007588982726744512079025688319216306952508354097362135326614270017939800842749245239175617050619<108>
prime factors 素因数
8011859098238196250376857716817447795633<40>
112826851275727796887800559483225541997057785219800577879840211604843<69>
factorization results 素因数分解の結果
Number: n
N=903952834919007588982726744512079025688319216306952508354097362135326614270017939800842749245239175617050619
  ( 108 digits)
SNFS difficulty: 145 digits.
Divisors found:

Tue Dec 18 15:02:49 2007  prp40 factor: 8011859098238196250376857716817447795633
Tue Dec 18 15:02:49 2007  prp69 factor: 112826851275727796887800559483225541997057785219800577879840211604843
Tue Dec 18 15:02:49 2007  elapsed time 00:24:54 (Msieve 1.31)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 4.79 hours.
Scaled time: 8.75 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_5_0_144_9
n: 903952834919007588982726744512079025688319216306952508354097362135326614270017939800842749245239175617050619
skew: 1.12
deg: 5
c5: 5
c0: 9
m: 100000000000000000000000000000
type: snfs
rlim: 2500000
alim: 2500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 900000)
Primes: RFBsize:183072, AFBsize:182621, largePrimes:6411156 encountered
Relations: rels:5849768, finalFF:448390
Max relations in full relation-set: 28
Initial matrix: 365759 x 448390 with sparse part having weight 26854576.
Pruned matrix : 294774 x 296666 with weight 13333677.
Total sieving time: 4.67 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,145,5,0,0,0,0,0,0,0,0,2500000,2500000,28,28,48,48,2.5,2.5,100000
total time: 4.79 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

5×10147+9

c148

name 名前Robert Backstrom
date 日付December 18, 2007 16:05:06 UTC 2007 年 12 月 19 日 (水) 1 時 5 分 6 秒 (日本時間)
composite number 合成数
5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009<148>
prime factors 素因数
5849697884884838262743075248501338289883<40>
854744996817632047461743936663945403195159505305631899758967978986218123868623742456524092166116733189586923<108>
factorization results 素因数分解の結果
Number: n
N=5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009
  ( 148 digits)
SNFS difficulty: 149 digits.
Divisors found:

Wed Dec 19 02:59:00 2007  prp40 factor: 5849697884884838262743075248501338289883
Wed Dec 19 02:59:00 2007  prp108 factor: 854744996817632047461743936663945403195159505305631899758967978986218123868623742456524092166116733189586923
Wed Dec 19 02:59:00 2007  elapsed time 00:54:34 (Msieve 1.31)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 12.29 hours.
Scaled time: 16.07 units (timescale=1.308).
Factorization parameters were as follows:
name: KA_5_0_146_9
n: 5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009
skew: 2.24
deg: 5
c5: 4
c0: 225
m: 500000000000000000000000000000
type: snfs
rlim: 2800000
alim: 2800000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 1500001)
Primes: RFBsize:203362, AFBsize:203297, largePrimes:6971350 encountered
Relations: rels:6423924, finalFF:479679
Max relations in full relation-set: 28
Initial matrix: 406723 x 479679 with sparse part having weight 30923173.
Pruned matrix : 
Total sieving time: 12.09 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,149,5,0,0,0,0,0,0,0,0,2800000,2800000,28,28,48,48,2.5,2.5,100000
total time: 12.29 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

5×10149+9

c129

name 名前Jo Yeong Uk
date 日付December 17, 2007 14:11:57 UTC 2007 年 12 月 17 日 (月) 23 時 11 分 57 秒 (日本時間)
composite number 合成数
813464117579671160481609861465604632683977337341874220218641873074098242561055665721518223145604420413125413994385245321276128177<129>
prime factors 素因数
1292831320258423031896200514838978324604313<43>
629211332393361618328576188689966621539549657057208953485058442782747222654866355168729<87>
factorization results 素因数分解の結果
Number: 50009_149
N=813464117579671160481609861465604632683977337341874220218641873074098242561055665721518223145604420413125413994385245321276128177
  ( 129 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=1292831320258423031896200514838978324604313 (pp43)
 r2=629211332393361618328576188689966621539549657057208953485058442782747222654866355168729 (pp87)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 11.28 hours.
Scaled time: 24.19 units (timescale=2.145).
Factorization parameters were as follows:
n: 813464117579671160481609861465604632683977337341874220218641873074098242561055665721518223145604420413125413994385245321276128177
m: 1000000000000000000000000000000
c5: 1
c0: 18
skew: 1.78
type: snfs
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, 1650001)
Primes: RFBsize:135072, AFBsize:134903, largePrimes:3896038 encountered
Relations: rels:4055635, finalFF:434303
Max relations in full relation-set: 28
Initial matrix: 270042 x 434303 with sparse part having weight 42347910.
Pruned matrix : 218215 x 219629 with weight 20005906.
Total sieving time: 10.98 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.22 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,1800000,1800000,26,26,48,48,2.3,2.3,75000
total time: 11.28 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2115k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407682)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405127)
Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405112)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405126)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

5×10151+9

c147

name 名前Sinkiti Sibata
date 日付December 17, 2007 11:00:24 UTC 2007 年 12 月 17 日 (月) 20 時 0 分 24 秒 (日本時間)
composite number 合成数
639247222470818364294207141669969443982765894882186736898628175460577623790224631473976245573212984389582827262615543935461600419346177940856846977<147>
prime factors 素因数
334673882571236023305008947620488003064113918729<48>
1910060078664050756982889449663405594416053618701081486519366050468241477476722382784210606901891513<100>
factorization results 素因数分解の結果
Number: 50009_151
N=639247222470818364294207141669969443982765894882186736898628175460577623790224631473976245573212984389582827262615543935461600419346177940856846977
  ( 147 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=334673882571236023305008947620488003064113918729 (pp48)
 r2=1910060078664050756982889449663405594416053618701081486519366050468241477476722382784210606901891513 (pp100)
Version: GGNFS-0.77.1-20060513-k8
Total time: 20.92 hours.
Scaled time: 41.16 units (timescale=1.967).
Factorization parameters were as follows:
name 50009_151
n: 639247222470818364294207141669969443982765894882186736898628175460577623790224631473976245573212984389582827262615543935461600419346177940856846977
m: 1000000000000000000000000000000
c5: 50
c0: 9
skew: 0.71
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 1900001)
Primes: RFBsize:176302, AFBsize:175768, largePrimes:5442675 encountered
Relations: rels:5368300, finalFF:498395
Max relations in full relation-set: 28
Initial matrix: 352135 x 498395 with sparse part having weight 42380181.
Pruned matrix : 282161 x 283985 with weight 22301234.
Total sieving time: 19.66 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 1.00 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 20.92 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

5×10153+9

c150

name 名前Robert Backstrom
date 日付December 22, 2007 10:59:25 UTC 2007 年 12 月 22 日 (土) 19 時 59 分 25 秒 (日本時間)
composite number 合成数
156352606397948653804058913662090747052753369398667875793489477469589418055598986835110541292723349698239469651959098158166296632164858188185997060571<150>
prime factors 素因数
9652395741655011049538026702985684108326820233080272800634433481<64>
16198321181881033533347435589236482009169983223746311965676775774243157661743075509891<86>
factorization results 素因数分解の結果
Number: n
N=156352606397948653804058913662090747052753369398667875793489477469589418055598986835110541292723349698239469651959098158166296632164858188185997060571
  ( 150 digits)
SNFS difficulty: 154 digits.
Divisors found:

Sat Dec 22 17:46:28 2007  prp64 factor: 9652395741655011049538026702985684108326820233080272800634433481
Sat Dec 22 17:46:28 2007  prp86 factor: 16198321181881033533347435589236482009169983223746311965676775774243157661743075509891
Sat Dec 22 17:46:28 2007  elapsed time 00:41:58 (Msieve 1.31)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 20.36 hours.
Scaled time: 35.68 units (timescale=1.752).
Factorization parameters were as follows:
name: KA_5_0_152_9
n: 156352606397948653804058913662090747052753369398667875793489477469589418055598986835110541292723349698239469651959098158166296632164858188185997060571
type: snfs
skew: 1.41
deg: 5
c5: 8
c0: 45
m: 5000000000000000000000000000000
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 1200000)
Primes: RFBsize:216816, AFBsize:215956, largePrimes:6188331 encountered
Relations: rels:5704176, finalFF:531554
Max relations in full relation-set: 28
Initial matrix: 432837 x 531554 with sparse part having weight 24767036.
Pruned matrix : 
Total sieving time: 20.20 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,154,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.3,2.3,100000
total time: 20.36 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

5×10154+9

c130

name 名前Sinkiti Sibata
date 日付December 18, 2007 04:38:59 UTC 2007 年 12 月 18 日 (火) 13 時 38 分 59 秒 (日本時間)
composite number 合成数
1522525569869729691381144278511493679974899677541911790344380065429203883992934588841549407329972980911637269126252640383900396181<130>
prime factors 素因数
6547416756766895807011708792092633881889587619560266369321<58>
232538362293215384924110022839616818354212477256510811617282792627275661<72>
factorization results 素因数分解の結果
Number: 50009_154
N=1522525569869729691381144278511493679974899677541911790344380065429203883992934588841549407329972980911637269126252640383900396181
  ( 130 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=6547416756766895807011708792092633881889587619560266369321 (pp58)
 r2=232538362293215384924110022839616818354212477256510811617282792627275661 (pp72)
Version: GGNFS-0.77.1-20060513-k8
Total time: 32.09 hours.
Scaled time: 64.08 units (timescale=1.997).
Factorization parameters were as follows:
name: 50009_154
n: 1522525569869729691381144278511493679974899677541911790344380065429203883992934588841549407329972980911637269126252640383900396181
m: 10000000000000000000000000000000
c5: 1
c0: 18
skew: 1.78
type: snfs
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1500000, 2600001)
Primes: RFBsize:216816, AFBsize:216936, largePrimes:5911757 encountered
Relations: rels:6144438, finalFF:787955
Max relations in full relation-set: 28
Initial matrix: 433819 x 787955 with sparse part having weight 63391684.
Pruned matrix : 273376 x 275609 with weight 35731953.
Total sieving time: 30.69 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.09 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 32.09 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

5×10156+9

c126

name 名前Sinkiti Sibata
date 日付December 18, 2007 22:54:59 UTC 2007 年 12 月 19 日 (水) 7 時 54 分 59 秒 (日本時間)
composite number 合成数
676535811554865734658433221423933641105523804759318323019495315982034160190227630983735165481246914074639192835621689847797847<126>
prime factors 素因数
74881270812473695723895111402915691073452855235176557355117707<62>
9034780048660293802053456177468412100175147936351538480358818021<64>
factorization results 素因数分解の結果
Number: 50009_156
N=676535811554865734658433221423933641105523804759318323019495315982034160190227630983735165481246914074639192835621689847797847
  ( 126 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=74881270812473695723895111402915691073452855235176557355117707 (pp62)
 r2=9034780048660293802053456177468412100175147936351538480358818021 (pp64)
Version: GGNFS-0.77.1-20060513-k8
Total time: 32.37 hours.
Scaled time: 64.84 units (timescale=2.003).
Factorization parameters were as follows:
name: 50009_156
n: 676535811554865734658433221423933641105523804759318323019495315982034160190227630983735165481246914074639192835621689847797847
m: 10000000000000000000000000000000
c5: 50
c0: 9
skew: 0.71
type: snfs
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1500000, 2600001)
Primes: RFBsize:216816, AFBsize:215821, largePrimes:5559380 encountered
Relations: rels:5479029, finalFF:518470
Max relations in full relation-set: 28
Initial matrix: 432702 x 518470 with sparse part having weight 40228570.
Pruned matrix : 380168 x 382395 with weight 26863487.
Total sieving time: 30.33 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.72 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 32.37 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

5×10157+9

c121

name 名前Sinkiti Sibata
date 日付December 20, 2007 03:31:24 UTC 2007 年 12 月 20 日 (木) 12 時 31 分 24 秒 (日本時間)
composite number 合成数
3167447111981185564662038922263931214905167097009116697762326586042626329656257920880146946528001824003871576052481383723<121>
prime factors 素因数
25360542995799645970199393340105446955335067305527210019419<59>
124896659843040259553684977555818906011332891068066978344194417<63>
factorization results 素因数分解の結果
Number: 50009_157
N=3167447111981185564662038922263931214905167097009116697762326586042626329656257920880146946528001824003871576052481383723
  ( 121 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=25360542995799645970199393340105446955335067305527210019419 (pp59)
 r2=124896659843040259553684977555818906011332891068066978344194417 (pp63)
Version: GGNFS-0.77.1-20060513-k8
Total time: 49.75 hours.
Scaled time: 99.65 units (timescale=2.003).
Factorization parameters were as follows:
name: 50009_157
n: 3167447111981185564662038922263931214905167097009116697762326586042626329656257920880146946528001824003871576052481383723
m: 10000000000000000000000000000000
c5: 500
c0: 9
skew: 0.45
type: snfs
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1500000, 3200001)
Primes: RFBsize:216816, AFBsize:216721, largePrimes:5704293 encountered
Relations: rels:5645688, finalFF:500017
Max relations in full relation-set: 28
Initial matrix: 433604 x 500017 with sparse part having weight 46100082.
Pruned matrix : 406183 x 408415 with weight 34369135.
Total sieving time: 46.98 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 2.40 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 49.75 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

5×10159+9

c152

name 名前Robert Backstrom
date 日付December 20, 2007 02:25:37 UTC 2007 年 12 月 20 日 (木) 11 時 25 分 37 秒 (日本時間)
composite number 合成数
31475082445673582785154379519455941365295532548291479331959504738066913368782543622150851143828731889261167071254720609258890289690930364974543362494011<152>
prime factors 素因数
595062504831659452988979151082530531460782679178587<51>
52893741733194472069753410091559437984333289639309186156142766882448531546650531764689412803138414753<101>
factorization results 素因数分解の結果
Number: n
N=31475082445673582785154379519455941365295532548291479331959504738066913368782543622150851143828731889261167071254720609258890289690930364974543362494011
  ( 152 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=595062504831659452988979151082530531460782679178587 (pp51)
 r2=52893741733194472069753410091559437984333289639309186156142766882448531546650531764689412803138414753 (pp101)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 20.39 hours.
Scaled time: 37.07 units (timescale=1.818).
Factorization parameters were as follows:
name: KA_5_0_158_9
n: 31475082445673582785154379519455941365295532548291479331959504738066913368782543622150851143828731889261167071254720609258890289690930364974543362494011
skew: 1.78
deg: 5
c5: 1
c0: 18
m: 100000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1400001)
Primes: RFBsize:216816, AFBsize:216936, largePrimes:6939749 encountered
Relations: rels:6405566, finalFF:494197
Max relations in full relation-set: 48
Initial matrix: 433819 x 494197 with sparse part having weight 37620448.
Pruned matrix : 385615 x 387848 with weight 23915069.
Total sieving time: 19.02 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 1.08 hours.
Total square root time: 0.14 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 20.39 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

5×10161+9

c136

name 名前Robert Backstrom
date 日付January 5, 2008 02:30:19 UTC 2008 年 1 月 5 日 (土) 11 時 30 分 19 秒 (日本時間)
composite number 合成数
2227527849195920167072818742245789804891947494234442788537785061825357198187109192712412964898187206347293193995545098532526760958240609<136>
prime factors 素因数
2886044097090709483188406135551437413159237776161<49>
771827378327791401197721327141510578461690263003677335551724101499521451664262614805569<87>
factorization results 素因数分解の結果
Number: n
N=2227527849195920167072818742245789804891947494234442788537785061825357198187109192712412964898187206347293193995545098532526760958240609
  ( 136 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=2886044097090709483188406135551437413159237776161 (pp49)
 r2=771827378327791401197721327141510578461690263003677335551724101499521451664262614805569 (pp87)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 26.60 hours.
Scaled time: 48.65 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_5_0_160_9
n: 2227527849195920167072818742245789804891947494234442788537785061825357198187109192712412964898187206347293193995545098532526760958240609
skew: 0.71
deg: 5
c5: 50
c0: 9
m: 100000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1800001)
Primes: RFBsize:216816, AFBsize:215821, largePrimes:7227690 encountered
Relations: rels:6738236, finalFF:537059
Max relations in full relation-set: 48
Initial matrix: 432702 x 537059 with sparse part having weight 46858226.
Pruned matrix : 354338 x 356565 with weight 27479185.
Total sieving time: 25.31 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.09 hours.
Total square root time: 0.05 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 26.60 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

5×10162+9

c136

name 名前Jo Yeong Uk
date 日付December 19, 2007 08:59:58 UTC 2007 年 12 月 19 日 (水) 17 時 59 分 58 秒 (日本時間)
composite number 合成数
3131399213804256001849074551428213629637935735019969074237966310500085209940790799787801812032154644689867549984555603615483976877848609<136>
prime factors 素因数
64374435181365818315554180691915647<35>
48643521375868913517679138570941692047144478517809618044912143356711058007954967110653981808106775647<101>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM]
Input number is 3131399213804256001849074551428213629637935735019969074237966310500085209940790799787801812032154644689867549984555603615483976877848609 (136 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3598900258
Step 1 took 7401ms
Step 2 took 4038ms
********** Factor found in step 2: 64374435181365818315554180691915647
Found probable prime factor of 35 digits: 64374435181365818315554180691915647
Probable prime cofactor 48643521375868913517679138570941692047144478517809618044912143356711058007954967110653981808106775647 has 101 digits
execution environment 実行環境
Core 2 Quad Q6600

5×10163+9

c148

name 名前Robert Backstrom
date 日付December 21, 2007 08:17:04 UTC 2007 年 12 月 21 日 (金) 17 時 17 分 4 秒 (日本時間)
composite number 合成数
3567997124893726715042848190931992165491965877318560254922568110615225565901811932175902351214161088571608357164392386147216979036661072219279275697<148>
prime factors 素因数
994274499440732115855225384785607465089<39>
20388243227799757288129029804812187656347787<44>
176010423833552850724204320884474640196768850687932515195507552179<66>
factorization results 素因数分解の結果
Number: n
N=3567997124893726715042848190931992165491965877318560254922568110615225565901811932175902351214161088571608357164392386147216979036661072219279275697
  ( 148 digits)
SNFS difficulty: 164 digits.
Divisors found:

Fri Dec 21 19:06:29 2007  prp39 factor: 994274499440732115855225384785607465089
Fri Dec 21 19:06:29 2007  prp44 factor: 20388243227799757288129029804812187656347787
Fri Dec 21 19:06:29 2007  prp66 factor: 176010423833552850724204320884474640196768850687932515195507552179
Fri Dec 21 19:06:29 2007  elapsed time 01:29:29 (Msieve 1.31)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 46.82 hours.
Scaled time: 61.47 units (timescale=1.313).
Factorization parameters were as follows:
name: KA_5_0_162_9
n: 3567997124893726715042848190931992165491965877318560254922568110615225565901811932175902351214161088571608357164392386147216979036661072219279275697
skew: 1.41
deg: 5
c5: 8
c0: 45
m: 500000000000000000000000000000000
type: snfs
rlim: 3200000
alim: 3200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2200000)
Primes: RFBsize:230209, AFBsize:229217, largePrimes:7357077 encountered
Relations: rels:6869781, finalFF:531314
Max relations in full relation-set: 28
Initial matrix: 459491 x 531314 with sparse part having weight 41024110.
Pruned matrix : 405664 x 408025 with weight 28167530.
Total sieving time: 46.52 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,164,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.5,2.5,100000
total time: 46.82 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

5×10164+9

c165

name 名前Jo Yeong Uk
date 日付December 18, 2007 10:12:39 UTC 2007 年 12 月 18 日 (火) 19 時 12 分 39 秒 (日本時間)
composite number 合成数
500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009<165>
prime factors 素因数
6673964901781837641922867159706054031558290898862034367879686441388466755506249<79>
74917984640061309718805919117074967560324362619058281263115508699855177428830489506241<86>
factorization results 素因数分解の結果
Number: 50009_164
N=500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009
  ( 165 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=6673964901781837641922867159706054031558290898862034367879686441388466755506249 (pp79)
 r2=74917984640061309718805919117074967560324362619058281263115508699855177428830489506241 (pp86)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 39.42 hours.
Scaled time: 84.59 units (timescale=2.146).
Factorization parameters were as follows:
n: 500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009
m: 1000000000000000000000000000000000
c5: 1
c0: 18
skew: 1.78
type: snfs
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved algebraic special-q in [2500000, 4600001)
Primes: RFBsize:348513, AFBsize:348406, largePrimes:6566352 encountered
Relations: rels:6735729, finalFF:809660
Max relations in full relation-set: 28
Initial matrix: 696986 x 809660 with sparse part having weight 54958042.
Pruned matrix : 606950 x 610498 with weight 38013089.
Total sieving time: 37.13 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 2.13 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,49,49,2.5,2.5,100000
total time: 39.42 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2115k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407682)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405127)
Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405112)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405126)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

5×10165+9

c142

name 名前Robert Backstrom
date 日付January 29, 2008 11:33:48 UTC 2008 年 1 月 29 日 (火) 20 時 33 分 48 秒 (日本時間)
composite number 合成数
2586767420097561192409423271022213243582215458887437064871876133063984529442389277700589863096152552225818498334958007864114097635822144659371<142>
prime factors 素因数
2818939442454687157524932103668483<34>
54054662364681162784830736490034092875986992681<47>
16976121589164324923231167526328949052941343024340689600524177<62>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.1] [ECM]
Input number is 2586767420097561192409423271022213243582215458887437064871876133063984529442389277700589863096152552225818498334958007864114097635822144659371 (142 digits)
Using B1=3218000, B2=5707206970, polynomial Dickson(6), sigma=2627230434
Step 1 took 34891ms
Step 2 took 13285ms
********** Factor found in step 2: 2818939442454687157524932103668483
Found probable prime factor of 34 digits: 2818939442454687157524932103668483
Composite cofactor 917638520764052206896551340018795507931530546527901174784162865815188938411283681136417866187149051462548537 has 108 digits


Number: n
N=917638520764052206896551340018795507931530546527901174784162865815188938411283681136417866187149051462548537
  ( 108 digits)
Divisors found:

Tue Jan 29 22:25:04 2008  prp47 factor: 54054662364681162784830736490034092875986992681
Tue Jan 29 22:25:04 2008  prp62 factor: 16976121589164324923231167526328949052941343024340689600524177
Tue Jan 29 22:25:04 2008  elapsed time 00:34:55 (Msieve 1.33)

Version: GGNFS-0.77.1-20050930-k8
Total time: 10.53 hours.
Scaled time: 6.85 units (timescale=0.651).
Factorization parameters were as follows:
name: KA_5_0_164_9
n: 917638520764052206896551340018795507931530546527901174784162865815188938411283681136417866187149051462548537
skew: 12661.24
# norm 8.65e+14
c5: 38640
c4: 1501673822
c3: -9563743305193
c2: 326542209276603545
c1: -784249620915261605303
c0: -3465551045340897498365887
# alpha -5.89
Y1: 180905640823
Y0: -473288130946733068878
# Murphy_E 1.29e-09
# M 615124226853032890747798413252407572674371891804947226660272403689813790259428441717994802080173114188169006
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 1600253)
Primes: RFBsize:183072, AFBsize:182897, largePrimes:4231691 encountered
Relations: rels:4183086, finalFF:395397
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 10.38 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,107,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 10.53 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6045.69 BogoMIPS (lpj=3022848)
Total of 2 processors activated (12009.47 BogoMIPS).

5×10167+9

c108

name 名前Sinkiti Sibata
date 日付December 23, 2007 10:07:14 UTC 2007 年 12 月 23 日 (日) 19 時 7 分 14 秒 (日本時間)
composite number 合成数
245465291570409554408333235492955931297544893177855395881640586610749416809020286506572455808735126099146131<108>
prime factors 素因数
247594231851496673861477854899257<33>
991401494836260862208699840210242066186026283682422229091025681417922365483<75>
factorization results 素因数分解の結果
Number: 50009_167
N=245465291570409554408333235492955931297544893177855395881640586610749416809020286506572455808735126099146131
  ( 108 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=247594231851496673861477854899257 (pp33)
 r2=991401494836260862208699840210242066186026283682422229091025681417922365483 (pp75)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 148.51 hours.
Scaled time: 295.68 units (timescale=1.991).
Factorization parameters were as follows:
name: 50009_167
n: 245465291570409554408333235492955931297544893177855395881640586610749416809020286506572455808735126099146131
m: 1000000000000000000000000000000000
c5: 500
c0: 9
skew: 0.45
type: snfs
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2750000, 7250001)
Primes: RFBsize:380800, AFBsize:380707, largePrimes:6144009 encountered
Relations: rels:6397329, finalFF:900175
Max relations in full relation-set: 32
Initial matrix: 761574 x 900175 with sparse part having weight 67509735.
Pruned matrix : 652300 x 656171 with weight 49587514.
Total sieving time: 142.12 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 5.80 hours.
Time per square root: 0.27 hours.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,48,48,2.6,2.6,100000
total time: 148.51 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
by ggnfs-cvs, Core 2 Duo E6300 1.86GHz, Windows Vista)

5×10168+9

c144

name 名前Robert Backstrom
date 日付May 8, 2009 15:55:52 UTC 2009 年 5 月 9 日 (土) 0 時 55 分 52 秒 (日本時間)
composite number 合成数
470609933665664958580762326468921066700739717896012857757398341392913611302788239153743792964744616831365739935156375436723459571584868354723967<144>
prime factors 素因数
657641273061186958218573106478356106521035023165800368518412163301<66>
715602795845022032566832013234571359667906810279528894626944306683762500542867<78>
factorization results 素因数分解の結果
Number: n
N=470609933665664958580762326468921066700739717896012857757398341392913611302788239153743792964744616831365739935156375436723459571584868354723967
  ( 144 digits)
SNFS difficulty: 169 digits.
Divisors found:

Sat May 09 01:47:51 2009  prp66 factor: 657641273061186958218573106478356106521035023165800368518412163301
Sat May 09 01:47:51 2009  prp78 factor: 715602795845022032566832013234571359667906810279528894626944306683762500542867
Sat May 09 01:47:51 2009  elapsed time 01:14:58 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 32.75 hours.
Scaled time: 86.75 units (timescale=2.649).
Factorization parameters were as follows:
name: KA_5_0_167_9
n: 470609933665664958580762326468921066700739717896012857757398341392913611302788239153743792964744616831365739935156375436723459571584868354723967
m: 5000000000000000000000000000000000
deg: 5
c5: 8
c0: 45
skew: 1.41
type: snfs
lss: 1
rlim: 4700000
alim: 4700000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2350000, 4171283)
Primes: RFBsize:328964, AFBsize:327919, largePrimes:15583929 encountered
Relations: rels:14730311, finalFF:685939
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1364602 hash collisions in 15945930 relations
Msieve: matrix is 794020 x 794268 (213.9 MB)

Total sieving time: 32.26 hours.
Total relation processing time: 0.49 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,169,5,0,0,0,0,0,0,0,0,4700000,4700000,28,28,56,56,2.4,2.4,100000
total time: 32.75 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2007 09:00:00 UTC 2007 年 12 月 15 日 (土) 18 時 0 分 0 秒 (日本時間)
351e6260 / 825Jo Yeong UkJuly 24, 2008 07:55:49 UTC 2008 年 7 月 24 日 (木) 16 時 55 分 49 秒 (日本時間)

5×10169+9

c141

name 名前Robert Backstrom
date 日付June 22, 2009 17:26:34 UTC 2009 年 6 月 23 日 (火) 2 時 26 分 34 秒 (日本時間)
composite number 合成数
346571563400596869585973019313910592991068897473874180601102588897696004361669211747830725681790090285548632257724403837334518143947437896227<141>
prime factors 素因数
41281411513583644762377184791184555905650687227<47>
8395341891024184763633786646465985958174272838380095043933734588514621669155826987694109067001<94>
factorization results 素因数分解の結果
Number: n
N=346571563400596869585973019313910592991068897473874180601102588897696004361669211747830725681790090285548632257724403837334518143947437896227
  ( 141 digits)
SNFS difficulty: 170 digits.
Divisors found:

Tue Jun 23 03:22:08 2009  prp47 factor: 41281411513583644762377184791184555905650687227
Tue Jun 23 03:22:08 2009  prp94 factor: 8395341891024184763633786646465985958174272838380095043933734588514621669155826987694109067001
Tue Jun 23 03:22:08 2009  elapsed time 01:53:33 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 34.53 hours.
Scaled time: 92.22 units (timescale=2.671).
Factorization parameters were as follows:
name: KA_5_0_168_9
n: 346571563400596869585973019313910592991068897473874180601102588897696004361669211747830725681790090285548632257724403837334518143947437896227
m: 10000000000000000000000000000000000
deg: 5
c5: 1
c0: 18
skew: 1.78
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2400000, 4312493)
Primes: RFBsize:335439, AFBsize:335377, largePrimes:15839972 encountered
Relations: rels:14929612, finalFF:644433
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1396892 hash collisions in 16096513 relations
Msieve: matrix is 859768 x 860016 (230.2 MB)

Total sieving time: 34.09 hours.
Total relation processing time: 0.44 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,4800000,4800000,28,28,56,56,2.4,2.4,100000
total time: 34.53 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
3025e4430Makoto KamadaDecember 15, 2007 09:00:00 UTC 2007 年 12 月 15 日 (土) 18 時 0 分 0 秒 (日本時間)

5×10171+9

c152

name 名前Robert Backstrom
date 日付May 23, 2009 07:55:58 UTC 2009 年 5 月 23 日 (土) 16 時 55 分 58 秒 (日本時間)
composite number 合成数
41622160083449093835715177170359909547044068164867790126481396040503116696826064618716663968196854901778090190322063002576843971520433247969928483414777<152>
prime factors 素因数
30861275933615391341234232012900752504190775857799782307643<59>
1348685652951649280820481874144969335193186551718062790432538324525777278141762353767694766939<94>
factorization results 素因数分解の結果
Number: n
N=41622160083449093835715177170359909547044068164867790126481396040503116696826064618716663968196854901778090190322063002576843971520433247969928483414777
  ( 152 digits)
SNFS difficulty: 171 digits.
Divisors found:

Sat May 23 11:46:27 2009  prp59 factor: 30861275933615391341234232012900752504190775857799782307643
Sat May 23 11:46:27 2009  prp94 factor: 1348685652951649280820481874144969335193186551718062790432538324525777278141762353767694766939
Sat May 23 11:46:27 2009  elapsed time 01:19:08 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 45.61 hours.
Scaled time: 60.89 units (timescale=1.335).
Factorization parameters were as follows:
name: KA_5_0_170_9
n: 41622160083449093835715177170359909547044068164867790126481396040503116696826064618716663968196854901778090190322063002576843971520433247969928483414777
m: 10000000000000000000000000000000000
deg: 5
c5: 50
c0: 9
skew: 0.71
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2550000, 5039821)
Primes: RFBsize:354971, AFBsize:354121, largePrimes:16733383 encountered
Relations: rels:16062335, finalFF:753335
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1755175 hash collisions in 18017048 relations
Msieve: matrix is 843918 x 844166 (226.5 MB)

Total sieving time: 45.09 hours.
Total relation processing time: 0.52 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5100000,5100000,28,28,56,56,2.4,2.4,100000
total time: 45.61 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2007 09:00:00 UTC 2007 年 12 月 15 日 (土) 18 時 0 分 0 秒 (日本時間)

5×10172+9

c143

name 名前Sinkiti Sibata
date 日付February 27, 2010 06:25:58 UTC 2010 年 2 月 27 日 (土) 15 時 25 分 58 秒 (日本時間)
composite number 合成数
56704682548808921684461190472347423838827601461105094716749924049553678617169447128236227221533629444517912595926330554613817217335496672401861<143>
prime factors 素因数
3513617694467679263991193319689490714753909<43>
16138546500973209789112130835645839209009465632063747758714892962102167170312235103575340218524576529<101>
factorization results 素因数分解の結果
Number: 50009_172
N=56704682548808921684461190472347423838827601461105094716749924049553678617169447128236227221533629444517912595926330554613817217335496672401861
  ( 143 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=3513617694467679263991193319689490714753909 (pp43)
 r2=16138546500973209789112130835645839209009465632063747758714892962102167170312235103575340218524576529 (pp101)
Version: Msieve-1.40
Total time: 99.49 hours.
Scaled time: 270.33 units (timescale=2.717).
Factorization parameters were as follows:
name: 50009_172
n: 56704682548808921684461190472347423838827601461105094716749924049553678617169447128236227221533629444517912595926330554613817217335496672401861
m: 10000000000000000000000000000000000
deg: 5
c5: 500
c0: 9
skew: 0.45
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2650000, 6250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1028185 x 1028433
Total sieving time: 96.34 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 2.72 hours.
Time per square root: 0.29 hours.
Prototype def-par.txt line would be:
snfs,172.000,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
total time: 99.49 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2007 09:00:00 UTC 2007 年 12 月 15 日 (土) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiJuly 28, 2009 12:28:29 UTC 2009 年 7 月 28 日 (火) 21 時 28 分 29 秒 (日本時間)

5×10173+9

c160

name 名前Ignacio Santos
date 日付September 27, 2009 15:50:40 UTC 2009 年 9 月 28 日 (月) 0 時 50 分 40 秒 (日本時間)
composite number 合成数
5537827294174018715006923146346517706518949763642303394687652952323188747315622781370433986338555803686968324980195112714660389533930115707061390787492182110171<160>
prime factors 素因数
226341838289515047722055879603441350450576514056429807821686474775748639597657<78>
24466653341794257255957958567501020770819886635243086406040717196519997052907339603<83>
factorization results 素因数分解の結果
Number: 50009_173
N=5537827294174018715006923146346517706518949763642303394687652952323188747315622781370433986338555803686968324980195112714660389533930115707061390787492182110171
  ( 160 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=226341838289515047722055879603441350450576514056429807821686474775748639597657 (pp78)
 r2=24466653341794257255957958567501020770819886635243086406040717196519997052907339603 (pp83)
Version: Msieve-1.40
Total time: 57.65 hours.
Scaled time: 100.54 units (timescale=1.744).
Factorization parameters were as follows:
n: 5537827294174018715006923146346517706518949763642303394687652952323188747315622781370433986338555803686968324980195112714660389533930115707061390787492182110171
m: 50000000000000000000000000000000000
deg: 5
c5: 8
c0: 45
skew: 1.41
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2800000, 5700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1001445 x 1001678
Total sieving time: 56.14 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.29 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,174.000,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 57.65 hours.
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2007 09:00:00 UTC 2007 年 12 月 15 日 (土) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiSeptember 13, 2009 07:33:48 UTC 2009 年 9 月 13 日 (日) 16 時 33 分 48 秒 (日本時間)

5×10174+9

c168

name 名前matsui
date 日付March 26, 2008 23:00:13 UTC 2008 年 3 月 27 日 (木) 8 時 0 分 13 秒 (日本時間)
composite number 合成数
360972595899048093606258456234274680075402843612160358177224116405865169371590749196456952898923991227788363499692848418149499977150434679590255674723839720370412751227<168>
prime factors 素因数
6932341858585301203147155694949322507634968456323255381<55>
52070801363035000937721717804698385278518754334939026472475690096827289091076030500703551512192216650466491354767<113>
factorization results 素因数分解の結果
N=360972595899048093606258456234274680075402843612160358177224116405865169371590749196456952898923991227788363499692848418149499977150434679590255674723839720370412751227
  ( 168 digits)

SNFS difficulty: 175 digits.

Divisors found:

 r1=6932341858585301203147155694949322507634968456323255381 (pp55)

 r2=52070801363035000937721717804698385278518754334939026472475690096827289091076030500703551512192216650466491354767 (pp113)

Version: GGNFS-0.77.1-20060513-prescott

Total time: 179.84 hours.

Scaled time: 204.47 units (timescale=1.137).

Factorization parameters were as follows:

n: 360972595899048093606258456234274680075402843612160358177224116405865169371590749196456952898923991227788363499692848418149499977150434679590255674723839720370412751227
m: 100000000000000000000000000000000000
c5: 1
c0: 18
skew: 1.78
type: snfs



Factor base limits: 7400000/7400000

Large primes per side: 3

Large prime bits: 27/27

Max factor residue bits: 48/48
Sieved algebraic special-q in [3700000, 10200001)
Primes: RFBsize:501962, AFBsize:502056, largePrimes:6407087 encountered

Relations: rels:6887568, finalFF:1161225

Max relations in full relation-set: 28

Initial matrix: 1004085 x 1161225 with sparse part having weight 66785490.

Pruned matrix : 866238 x 871322 with weight 48815069.

Total sieving time: 165.19 hours.

Total relation processing time: 0.13 hours.

Matrix solve time: 14.16 hours.

Time per square root: 0.36 hours.

Prototype def-par.txt line would be:

snfs,175,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000

total time: 179.84 hours.

5×10176+9

c166

name 名前Dmitry Domanov
date 日付July 5, 2011 11:04:05 UTC 2011 年 7 月 5 日 (火) 20 時 4 分 5 秒 (日本時間)
composite number 合成数
1312512287564979856987441928005629921559574749950800757122000125184025206147560591592327593467303348115243470854503541936940203728347905120819339265164921099499962167<166>
prime factors 素因数
2267096085676004511924687932790476999892895181611193461<55>
578939858728402285761082136856519791869569532806007328519852545263777434502583051890642867081693808902454599547<111>
factorization results 素因数分解の結果
N=1312512287564979856987441928005629921559574749950800757122000125184025206147560591592327593467303348115243470854503541936940203728347905120819339265164921099499962167
  ( 166 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=2267096085676004511924687932790476999892895181611193461 (pp55)
 r2=578939858728402285761082136856519791869569532806007328519852545263777434502583051890642867081693808902454599547 (pp111)
Version: Msieve-1.40
Total time: 68.46 hours.
Scaled time: 133.63 units (timescale=1.952).
Factorization parameters were as follows:
n: 1312512287564979856987441928005629921559574749950800757122000125184025206147560591592327593467303348115243470854503541936940203728347905120819339265164921099499962167
m: 100000000000000000000000000000000000
deg: 5
c5: 50
c0: 9
skew: 0.71
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 300000Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3100000, 6400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1311479 x 1311708
Total sieving time: 66.11 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 1.91 hours.
Time per square root: 0.29 hours.
Prototype def-par.txt line would be:
snfs,176.000,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,53,53,2.5,2.5,100000
total time: 68.46 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2007 09:00:00 UTC 2007 年 12 月 15 日 (土) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336300Dmitry DomanovApril 1, 2011 14:56:26 UTC 2011 年 4 月 1 日 (金) 23 時 56 分 26 秒 (日本時間)
2036Wataru SakaiJune 26, 2011 06:13:49 UTC 2011 年 6 月 26 日 (日) 15 時 13 分 49 秒 (日本時間)

5×10177+9

c173

name 名前Ignacio Santos
date 日付March 10, 2009 16:14:17 UTC 2009 年 3 月 11 日 (水) 1 時 14 分 17 秒 (日本時間)
composite number 合成数
13817002097420918388495411373603446513003180673882826295413031643698203513387293332191127826613204079884379326448781754925070397625686359579189384120948509559983751205533433<173>
prime factors 素因数
59065588279102023578540722642848366939231685729<47>
233926428229777021792526147696670859387164608180601153770469223624167359153947326848196873305595620698830254470527744319418777<126>
factorization results 素因数分解の結果
Number: 50009_177
N=13817002097420918388495411373603446513003180673882826295413031643698203513387293332191127826613204079884379326448781754925070397625686359579189384120948509559983751205533433
  ( 173 digits)
SNFS difficulty: 178 digits.
Divisors found:
 r1=59065588279102023578540722642848366939231685729 (pp47)
 r2=233926428229777021792526147696670859387164608180601153770469223624167359153947326848196873305595620698830254470527744319418777 (pp126)
Version: Msieve-1.39
Total time: 100.42 hours.
Scaled time: 174.63 units (timescale=1.739).
Factorization parameters were as follows:
n: 13817002097420918388495411373603446513003180673882826295413031643698203513387293332191127826613204079884379326448781754925070397625686359579189384120948509559983751205533433
m: 200000000000000000000000000000000000
deg: 5
c5: 125
c0: 72
skew: 0.90
type: snfs
lss: 1
rlim: 6600000
alim: 6600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6600000/6600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3300000, 8400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1405205 x 1405453
Total sieving time: 100.42 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,6600000,6600000,28,28,53,53,2.5,2.5,100000
total time: 100.42 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2007 09:00:00 UTC 2007 年 12 月 15 日 (土) 18 時 0 分 0 秒 (日本時間)

5×10179+9

c135

name 名前Serge Batalov
date 日付August 6, 2008 07:32:56 UTC 2008 年 8 月 6 日 (水) 16 時 32 分 56 秒 (日本時間)
composite number 合成数
216418081247335611966724347861462769033868822098445317981397648713202782262952755513722768667567883939659331568102162377889696716332299<135>
prime factors 素因数
12944269695080218973540346309891121<35>
1416113441407550287859867356704288481<37>
11806412269556885461858705275762974929092425790557887195787409499<65>
factorization results 素因数分解の結果
Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=3581677858
Step 1 took 3904ms
Step 2 took 3752ms
********** Factor found in step 2: 12944269695080218973540346309891121
Found probable prime factor of 35 digits: 12944269695080218973540346309891121
Composite cofactor 16719219109718527335685783927057161772888685825706508837251201359866567487929188872684878878975681019 has 101 digits
#
# then gnfs-101
#
Number: 50009_179
N=16719219109718527335685783927057161772888685825706508837251201359866567487929188872684878878975681019
  ( 101 digits)
Divisors found:
 r1=1416113441407550287859867356704288481
 r2=11806412269556885461858705275762974929092425790557887195787409499
Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.736).
Factorization parameters were as follows:
name: 50009_179
n: 16719219109718527335685783927057161772888685825706508837251201359866567487929188872684878878975681019
skew: 6884.51
# norm 1.80e+14
c5: 59040
c4: 1540165672
c3: 1429662248062
c2: -5353850835984479
c1: -182843902268221600200
c0: 165393405335782266813485
# alpha -6.13
Y1: 32528906267
Y0: -12314249336339487954
# Murphy_E 3.05e-09
# M 2698677695487388832340123883243887723436621037793473171541586333935792498476842577280377936006176964
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, 1500001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 220160 x 220404
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,100,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 3.10 hours.
software ソフトウェア
GMP-ECM 6.2.1+pol51+Msieve 1.36
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2007 09:00:00 UTC 2007 年 12 月 15 日 (土) 18 時 0 分 0 秒 (日本時間)

5×10180+9

c130

name 名前Robert Backstrom
date 日付February 25, 2012 04:41:14 UTC 2012 年 2 月 25 日 (土) 13 時 41 分 14 秒 (日本時間)
composite number 合成数
3227099888947687300872456624581499339006264036993383266271846541616185259075966632295705563272595406165069727568035376625684458407<130>
prime factors 素因数
412549853389705450604184785579092801528490819701<48>
7822327077399985893101213355973240293508438090353192378150797386362549707399870507<82>
factorization results 素因数分解の結果
Number: n
N=3227099888947687300872456624581499339006264036993383266271846541616185259075966632295705563272595406165069727568035376625684458407
  ( 130 digits)
Divisors found:

Sat Feb 25 15:30:11 2012  prp48 factor: 412549853389705450604184785579092801528490819701
Sat Feb 25 15:30:11 2012  prp82 factor: 7822327077399985893101213355973240293508438090353192378150797386362549707399870507
Sat Feb 25 15:30:11 2012  elapsed time 01:57:32 (Msieve 1.44 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.620).
Factorization parameters were as follows:
name: KA_50009_180
n: 3227099888947687300872456624581499339006264036993383266271846541616185259075966632295705563272595406165069727568035376625684458407
skew: 133995.90
# norm 4.36e+17
c5: 12240
c4: 80608800388
c3: 3334852707202660
c2: -1277958623882580468362
c1: 2777035085185740989447913
c0: 1043876706838576123021452081476
# alpha -5.38
Y1: 1102747005271
Y0: -12139649453338301094997177
# Murphy_E 7.11e-11
# M 1814063363253585389080907497606333724042176341569338865505369041519750902909163520999799222753705207426780006286038179812429935213
type: gnfs
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
qintsize: 60000
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 14160000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 2294184 hash collisions in 11800608 relations (9544975 unique)
Msieve: matrix is 1064812 x 1065036 (308.0 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,129,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5400000,5400000,27,27,51,51,2.5,2.5,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2007 09:00:00 UTC 2007 年 12 月 15 日 (土) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61070300Dmitry DomanovApril 1, 2011 14:56:38 UTC 2011 年 4 月 1 日 (金) 23 時 56 分 38 秒 (日本時間)
770Ignacio SantosJuly 4, 2011 18:28:50 UTC 2011 年 7 月 5 日 (火) 3 時 28 分 50 秒 (日本時間)
4511e6220 / 4028Ignacio SantosJuly 4, 2011 18:28:50 UTC 2011 年 7 月 5 日 (火) 3 時 28 分 50 秒 (日本時間)
5043e661 / 7464Ignacio SantosJuly 4, 2011 18:28:50 UTC 2011 年 7 月 5 日 (火) 3 時 28 分 50 秒 (日本時間)

5×10181+9

c164

name 名前Rich Dickerson
date 日付June 12, 2013 18:04:08 UTC 2013 年 6 月 13 日 (木) 3 時 4 分 8 秒 (日本時間)
composite number 合成数
11346024166981709854618517157764232992362362043081964630888035589514128605210276814797108867416610010170387883950100314461952154544084957495541629689613014399374681<164>
prime factors 素因数
4659737595042735914021139189449725139<37>
composite cofactor 合成数の残り
2434906244302722782550260979357291547054388848252576234988085257288392525571253953246697080335569406892180066397278100165673379<127>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1343730387
Step 1 took 7990ms
Step 2 took 3011ms
********** Factor found in step 2: 4659737595042735914021139189449725139
Found probable prime factor of 37 digits: 4659737595042735914021139189449725139
Composite cofactor 2434906244302722782550260979357291547054388848252576234988085257288392525571253953246697080335569406892180066397278100165673379 has 127 digits
software ソフトウェア
GMP-ECM 6.4.4 [configured with GMP 5.1.1, --enable-asm-redc] [ECM]
execution environment 実行環境
Core-i5, 3.4 GHz, OpenSUSE

c127

name 名前Erik Branger
date 日付June 23, 2013 09:24:02 UTC 2013 年 6 月 23 日 (日) 18 時 24 分 2 秒 (日本時間)
composite number 合成数
2434906244302722782550260979357291547054388848252576234988085257288392525571253953246697080335569406892180066397278100165673379<127>
prime factors 素因数
501637343728199539635857944531453487762460239323<48>
4853917426095812702358607385787709745327615926086552205306331546905792229683673<79>
factorization results 素因数分解の結果
Number: 50009_131
N = 2434906244302722782550260979357291547054388848252576234988085257288392525571253953246697080335569406892180066397278100165673379 (127 digits)
Divisors found:
r1=501637343728199539635857944531453487762460239323 (pp48)
r2=4853917426095812702358607385787709745327615926086552205306331546905792229683673 (pp79)
Version: Msieve v. 1.51 (SVN 845)
Total time: 63.38 hours.
Factorization parameters were as follows:
# Murphy_E = 1.15e-10, selected by Erik Branger
n: 2434906244302722782550260979357291547054388848252576234988085257288392525571253953246697080335569406892180066397278100165673379
Y0: -3614273122499930456702364
Y1: 8354372407813
c0: 5845145200691110466645308056395
c1: -287846425803131947873327739
c2: -1016705662844178445267
c3: 1949263420952691
c4: 1017859372
c5: 3948
skew: 427482.72
type: gnfs
# selected mechanically
rlim: 7800000
alim: 7800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7800000/7800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 16881365
Relations: 2043394 relations
Pruned matrix : 1174576 x 1174807
Polynomial selection time: 0.00 hours.
Total sieving time: 62.16 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.97 hours.
time per square root: 0.14 hours.
Prototype def-par.txt line would be: gnfs,126,5,65,2000,1e-05,0.28,250,20,50000,3600,7800000,7800000,28,28,53,53,2.5,2.5,100000
total time: 63.38 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
3025e4430Makoto KamadaDecember 15, 2007 09:00:00 UTC 2007 年 12 月 15 日 (土) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6408300Dmitry DomanovApril 1, 2011 14:56:51 UTC 2011 年 4 月 1 日 (金) 23 時 56 分 51 秒 (日本時間)
108Rich DickersonJune 13, 2013 21:24:01 UTC 2013 年 6 月 14 日 (金) 6 時 24 分 1 秒 (日本時間)
4511e6600 / 4038Rich DickersonJune 13, 2013 22:32:24 UTC 2013 年 6 月 14 日 (金) 7 時 32 分 24 秒 (日本時間)
5043e6100 / 7403Rich DickersonJune 13, 2013 23:17:55 UTC 2013 年 6 月 14 日 (金) 8 時 17 分 55 秒 (日本時間)

5×10182+9

c162

name 名前Dmitry Domanov
date 日付April 1, 2011 12:43:36 UTC 2011 年 4 月 1 日 (金) 21 時 43 分 36 秒 (日本時間)
composite number 合成数
403043042808227787854006003675692913731920746031759824459795282376743763486185349544333776277372577962908346608255732215060271562137162744281475443482317273869489<162>
prime factors 素因数
107082422725698159126343178713029289<36>
3763858087528155671731302239613408517034992170585967034589679866741991612081596737189594926028919606343151862364864628885081801<127>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2705000972
Step 1 took 27305ms
Step 2 took 7503ms
********** Factor found in step 2: 107082422725698159126343178713029289
Found probable prime factor of 36 digits: 107082422725698159126343178713029289
Probable prime cofactor 3763858087528155671731302239613408517034992170585967034589679866741991612081596737189594926028919606343151862364864628885081801 has 127 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2007 09:00:00 UTC 2007 年 12 月 15 日 (土) 18 時 0 分 0 秒 (日本時間)

5×10183+9

c147

name 名前Youcef Lemsafer
date 日付December 20, 2013 00:08:35 UTC 2013 年 12 月 20 日 (金) 9 時 8 分 35 秒 (日本時間)
composite number 合成数
789449627000559099274824288788652754351903857523795170983698389875572965928203048733895317156432164463290611710884392008540066027073400095852252009<147>
prime factors 素因数
25744339498794244614792434529796544380625347255625775543547<59>
30664978879630357682946763894807689607891730850105143946828167404348392355269974240979947<89>
factorization results 素因数分解の結果
Tue Dec 17 10:55:02 2013 -> factmsieve.py (v0.76)
Tue Dec 17 10:55:02 2013 -> This is client 1 of 1
Tue Dec 17 10:55:02 2013 -> Running on 2 Cores with 2 hyper-threads per Core
Tue Dec 17 10:55:02 2013 -> Working with NAME = 50009_183
Tue Dec 17 10:55:02 2013 -> Selected lattice siever: gnfs-lasieve4I13e
Tue Dec 17 10:55:02 2013 -> Creating param file to detect parameter changes...
Tue Dec 17 10:55:02 2013 -> Running setup ...
Tue Dec 17 10:55:02 2013 -> Estimated minimum relations needed: 1.74927e+07
Tue Dec 17 10:55:02 2013 -> cleaning up before a restart
Tue Dec 17 10:55:02 2013 -> Running lattice siever ...
Tue Dec 17 10:55:02 2013 -> entering sieving loop
<...snipped...>
Tue Dec 17 10:55:02 2013 -> Lattice sieving rational q from 3500000 to 3600000.
<...snipped...>
Tue Dec 17 11:51:29 2013 Found 377085 relations, 2.2% of the estimated minimum (17492711).
<...snipped...>
Tue Dec 17 21:28:21 2013 -> Lattice sieving rational q from 4600000 to 4700000.
<...snipped...>
Tue Dec 17 22:27:13 2013 Found 4561155 relations, 26.1% of the estimated minimum (17492711).
<...snipped...>
Wed Dec 18 09:19:19 2013 -> Lattice sieving rational q from 5800000 to 5900000.
<...snipped...>
Wed Dec 18 10:21:07 2013 Found 9053198 relations, 51.8% of the estimated minimum (17492711).
<...snipped...>
Wed Dec 18 21:21:40 2013 -> Lattice sieving rational q from 6900000 to 7000000.
<...snipped...>
Wed Dec 18 22:26:32 2013 Found 13098676 relations, 74.9% of the estimated minimum (17492711).
<...snipped...>
Thu Dec 19 10:12:14 2013 -> Lattice sieving rational q from 8100000 to 8200000.
<...snipped...>
Thu Dec 19 11:16:43 2013 Found 17419097 relations, 99.6% of the estimated minimum (17492711).
<...snipped...>
Thu Dec 19 19:08:02 2013 -> Lattice sieving rational q from 8800000 to 8900000.
<...snipped...>
Thu Dec 19 20:15:20 2013 Found 20600536 relations, 117.8% of the estimated minimum (17492711).
Thu Dec 19 20:15:20 2013  
Thu Dec 19 20:15:20 2013  
Thu Dec 19 20:15:20 2013  Msieve v. 1.51 (SVN 845)
Thu Dec 19 20:15:20 2013  random seeds: 06dfef88 dbfe128f
Thu Dec 19 20:15:20 2013  factoring 789449627000559099274824288788652754351903857523795170983698389875572965928203048733895317156432164463290611710884392008540066027073400095852252009 (147 digits)
Thu Dec 19 20:15:21 2013  searching for 15-digit factors
Thu Dec 19 20:15:22 2013  commencing number field sieve (147-digit input)
Thu Dec 19 20:15:22 2013  R0: -5000000000000000000000000000000000000
Thu Dec 19 20:15:22 2013  R1: 1
Thu Dec 19 20:15:23 2013  A0: 45
Thu Dec 19 20:15:23 2013  A1: 0
Thu Dec 19 20:15:23 2013  A2: 0
Thu Dec 19 20:15:23 2013  A3: 0
Thu Dec 19 20:15:23 2013  A4: 0
Thu Dec 19 20:15:23 2013  A5: 8
Thu Dec 19 20:15:23 2013  skew 1.41, size 9.816e-013, alpha 0.043, combined = 7.976e-011 rroots = 1
Thu Dec 19 20:15:23 2013  
Thu Dec 19 20:15:23 2013  commencing relation filtering
Thu Dec 19 20:15:23 2013  estimated available RAM is 4095.6 MB
Thu Dec 19 20:15:23 2013  commencing duplicate removal, pass 1
Thu Dec 19 20:17:18 2013  found 2450876 hash collisions in 20600535 relations
Thu Dec 19 20:17:52 2013  added 898 free relations
Thu Dec 19 20:17:52 2013  commencing duplicate removal, pass 2
Thu Dec 19 20:19:28 2013  found 2040515 duplicates and 18560918 unique relations
Thu Dec 19 20:19:28 2013  memory use: 98.6 MB
Thu Dec 19 20:19:28 2013  reading ideals above 8847360
Thu Dec 19 20:19:31 2013  commencing singleton removal, initial pass
Thu Dec 19 20:22:17 2013  memory use: 376.5 MB
Thu Dec 19 20:22:17 2013  reading all ideals from disk
Thu Dec 19 20:22:17 2013  memory use: 341.8 MB
Thu Dec 19 20:22:18 2013  commencing in-memory singleton removal
Thu Dec 19 20:22:19 2013  begin with 18560918 relations and 19782047 unique ideals
Thu Dec 19 20:22:29 2013  reduce to 6915530 relations and 5592378 ideals in 21 passes
Thu Dec 19 20:22:29 2013  max relations containing the same ideal: 43
Thu Dec 19 20:22:30 2013  reading ideals above 100000
Thu Dec 19 20:22:30 2013  commencing singleton removal, initial pass
Thu Dec 19 20:24:23 2013  memory use: 188.3 MB
Thu Dec 19 20:24:23 2013  reading all ideals from disk
Thu Dec 19 20:24:23 2013  memory use: 261.4 MB
Thu Dec 19 20:24:24 2013  keeping 6745663 ideals with weight <= 200, target excess is 36426
Thu Dec 19 20:24:25 2013  commencing in-memory singleton removal
Thu Dec 19 20:24:25 2013  begin with 6916429 relations and 6745663 unique ideals
Thu Dec 19 20:24:39 2013  reduce to 6913341 relations and 6738138 ideals in 18 passes
Thu Dec 19 20:24:39 2013  max relations containing the same ideal: 200
Thu Dec 19 20:24:43 2013  removing 741475 relations and 675001 ideals in 66474 cliques
Thu Dec 19 20:24:43 2013  commencing in-memory singleton removal
Thu Dec 19 20:24:44 2013  begin with 6171866 relations and 6738138 unique ideals
Thu Dec 19 20:24:51 2013  reduce to 6098421 relations and 5988638 ideals in 10 passes
Thu Dec 19 20:24:51 2013  max relations containing the same ideal: 190
Thu Dec 19 20:24:54 2013  removing 543525 relations and 477051 ideals in 66474 cliques
Thu Dec 19 20:24:54 2013  commencing in-memory singleton removal
Thu Dec 19 20:24:54 2013  begin with 5554896 relations and 5988638 unique ideals
Thu Dec 19 20:25:00 2013  reduce to 5510872 relations and 5467037 ideals in 10 passes
Thu Dec 19 20:25:00 2013  max relations containing the same ideal: 179
Thu Dec 19 20:25:05 2013  relations with 0 large ideals: 794
Thu Dec 19 20:25:05 2013  relations with 1 large ideals: 74
Thu Dec 19 20:25:05 2013  relations with 2 large ideals: 1006
Thu Dec 19 20:25:05 2013  relations with 3 large ideals: 13261
Thu Dec 19 20:25:05 2013  relations with 4 large ideals: 97175
Thu Dec 19 20:25:05 2013  relations with 5 large ideals: 412753
Thu Dec 19 20:25:05 2013  relations with 6 large ideals: 1103453
Thu Dec 19 20:25:05 2013  relations with 7+ large ideals: 3882356
Thu Dec 19 20:25:05 2013  commencing 2-way merge
Thu Dec 19 20:25:09 2013  reduce to 3131819 relation sets and 3087985 unique ideals
Thu Dec 19 20:25:09 2013  ignored 2 oversize relation sets
Thu Dec 19 20:25:09 2013  commencing full merge
Thu Dec 19 20:26:14 2013  memory use: 327.5 MB
Thu Dec 19 20:26:14 2013  found 1596347 cycles, need 1592185
Thu Dec 19 20:26:15 2013  weight of 1592185 cycles is about 111481948 (70.02/cycle)
Thu Dec 19 20:26:15 2013  distribution of cycle lengths:
Thu Dec 19 20:26:15 2013  1 relations: 223496
Thu Dec 19 20:26:15 2013  2 relations: 195028
Thu Dec 19 20:26:15 2013  3 relations: 188485
Thu Dec 19 20:26:15 2013  4 relations: 165324
Thu Dec 19 20:26:15 2013  5 relations: 142308
Thu Dec 19 20:26:15 2013  6 relations: 121242
Thu Dec 19 20:26:15 2013  7 relations: 103115
Thu Dec 19 20:26:15 2013  8 relations: 85096
Thu Dec 19 20:26:15 2013  9 relations: 70552
Thu Dec 19 20:26:15 2013  10+ relations: 297539
Thu Dec 19 20:26:15 2013  heaviest cycle: 27 relations
Thu Dec 19 20:26:15 2013  commencing cycle optimization
Thu Dec 19 20:26:17 2013  start with 9306453 relations
Thu Dec 19 20:26:36 2013  pruned 169917 relations
Thu Dec 19 20:26:36 2013  memory use: 252.8 MB
Thu Dec 19 20:26:36 2013  distribution of cycle lengths:
Thu Dec 19 20:26:36 2013  1 relations: 223496
Thu Dec 19 20:26:36 2013  2 relations: 198658
Thu Dec 19 20:26:36 2013  3 relations: 193741
Thu Dec 19 20:26:36 2013  4 relations: 167894
Thu Dec 19 20:26:36 2013  5 relations: 144585
Thu Dec 19 20:26:36 2013  6 relations: 121679
Thu Dec 19 20:26:36 2013  7 relations: 103170
Thu Dec 19 20:26:36 2013  8 relations: 84490
Thu Dec 19 20:26:36 2013  9 relations: 69738
Thu Dec 19 20:26:36 2013  10+ relations: 284734
Thu Dec 19 20:26:36 2013  heaviest cycle: 27 relations
Thu Dec 19 20:26:37 2013  RelProcTime: 674
Thu Dec 19 20:26:37 2013  elapsed time 00:11:17
Thu Dec 19 20:26:37 2013 LatSieveTime: 4715.44
Thu Dec 19 20:26:37 2013 -> Running matrix solving step ...
<...snipped...>
Thu Dec 19 20:26:39 2013  commencing linear algebra
Thu Dec 19 20:26:40 2013  read 1592185 cycles
Thu Dec 19 20:26:43 2013  cycles contain 5436020 unique relations
Thu Dec 19 20:29:40 2013  read 5436020 relations
Thu Dec 19 20:29:49 2013  using 20 quadratic characters above 268435400
Thu Dec 19 20:30:12 2013  building initial matrix
Thu Dec 19 20:31:18 2013  memory use: 601.8 MB
Thu Dec 19 20:31:19 2013  read 1592185 cycles
Thu Dec 19 20:31:20 2013  matrix is 1592008 x 1592185 (454.6 MB) with weight 141922466 (89.14/col)
Thu Dec 19 20:31:20 2013  sparse part has weight 108037753 (67.86/col)
Thu Dec 19 20:31:37 2013  filtering completed in 2 passes
Thu Dec 19 20:31:38 2013  matrix is 1590914 x 1591091 (454.6 MB) with weight 141889300 (89.18/col)
Thu Dec 19 20:31:38 2013  sparse part has weight 108028641 (67.90/col)
Thu Dec 19 20:31:43 2013  matrix starts at (0, 0)
Thu Dec 19 20:31:43 2013  matrix is 1590914 x 1591091 (454.6 MB) with weight 141889300 (89.18/col)
Thu Dec 19 20:31:43 2013  sparse part has weight 108028641 (67.90/col)
Thu Dec 19 20:31:43 2013  saving the first 48 matrix rows for later
Thu Dec 19 20:31:44 2013  matrix includes 64 packed rows
Thu Dec 19 20:31:44 2013  matrix is 1590866 x 1591091 (430.8 MB) with weight 112972031 (71.00/col)
Thu Dec 19 20:31:44 2013  sparse part has weight 103383162 (64.98/col)
Thu Dec 19 20:31:44 2013  using block size 65536 for processor cache size 12288 kB
Thu Dec 19 20:31:53 2013  commencing Lanczos iteration (4 threads)
Thu Dec 19 20:31:53 2013  memory use: 397.3 MB
Thu Dec 19 20:32:06 2013  linear algebra at 0.1%, ETA 3h29m
Thu Dec 19 20:32:10 2013  checkpointing every 460000 dimensions
Fri Dec 20 00:26:38 2013  lanczos halted after 25156 iterations (dim = 1590863)
Fri Dec 20 00:26:43 2013  recovered 37 nontrivial dependencies
Fri Dec 20 00:26:43 2013  BLanczosTime: 14404
Fri Dec 20 00:26:43 2013  elapsed time 04:00:06
Fri Dec 20 00:26:43 2013 -> Running square root step ...
<...snipped...>
Fri Dec 20 00:26:45 2013  commencing square root phase
Fri Dec 20 00:26:45 2013  reading relations for dependency 1
Fri Dec 20 00:26:46 2013  read 794605 cycles
Fri Dec 20 00:26:48 2013  cycles contain 2717244 unique relations
Fri Dec 20 00:28:59 2013  read 2717244 relations
Fri Dec 20 00:29:15 2013  multiplying 2717244 relations
Fri Dec 20 00:32:51 2013  multiply complete, coefficients have about 69.18 million bits
Fri Dec 20 00:32:51 2013  initial square root is modulo 92381
Fri Dec 20 00:37:17 2013  GCD is N, no factor found
Fri Dec 20 00:37:17 2013  reading relations for dependency 2
Fri Dec 20 00:37:17 2013  read 796362 cycles
Fri Dec 20 00:37:19 2013  cycles contain 2719744 unique relations
Fri Dec 20 00:39:27 2013  read 2719744 relations
Fri Dec 20 00:39:44 2013  multiplying 2719744 relations
Fri Dec 20 00:43:12 2013  multiply complete, coefficients have about 69.24 million bits
Fri Dec 20 00:43:12 2013  initial square root is modulo 93481
Fri Dec 20 00:47:36 2013  GCD is N, no factor found
Fri Dec 20 00:47:36 2013  reading relations for dependency 3
Fri Dec 20 00:47:37 2013  read 796125 cycles
Fri Dec 20 00:47:39 2013  cycles contain 2717568 unique relations
Fri Dec 20 00:49:35 2013  read 2717568 relations
Fri Dec 20 00:49:51 2013  multiplying 2717568 relations
Fri Dec 20 00:53:24 2013  multiply complete, coefficients have about 69.19 million bits
Fri Dec 20 00:53:24 2013  initial square root is modulo 92551
Fri Dec 20 00:57:51 2013  sqrtTime: 1866
Fri Dec 20 00:57:51 2013  prp59 factor: 25744339498794244614792434529796544380625347255625775543547
Fri Dec 20 00:57:51 2013  prp89 factor: 30664978879630357682946763894807689607891730850105143946828167404348392355269974240979947
Fri Dec 20 00:57:51 2013  elapsed time 00:31:08
Fri Dec 20 00:57:51 2013 -> Computing 1.3875e+09 scale for this machine...
Fri Dec 20 00:57:51 2013 -> procrels -speedtest> PIPE
Fri Dec 20 00:57:55 2013 -> Factorization summary written to s185-50009_183.txt



Number: 50009_183
N = 789449627000559099274824288788652754351903857523795170983698389875572965928203048733895317156432164463290611710884392008540066027073400095852252009 (147 digits)
SNFS difficulty: 185 digits.
Divisors found:
r1=25744339498794244614792434529796544380625347255625775543547 (pp59)
r2=30664978879630357682946763894807689607891730850105143946828167404348392355269974240979947 (pp89)
Version: Msieve v. 1.51 (SVN 845)
Total time: 62.23 hours.
Factorization parameters were as follows:
n: 789449627000559099274824288788652754351903857523795170983698389875572965928203048733895317156432164463290611710884392008540066027073400095852252009
m: 5000000000000000000000000000000000000
deg: 5
c5: 8
c0: 45
skew: 1.41
# Murphy_E = 8.956e-11
type: snfs
lss: 1
rlim: 8300000
alim: 8300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
q0: 3500000
Factor base limits: 8300000/8300000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [3500000, 8900001)
Total raw relations: 20600536
Relations: 2717568 relations
Pruned matrix : 1590866 x 1591091
Polynomial selection time: 0.00 hours.
Total sieving time: 57.52 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 4.00 hours.
time per square root: 0.52 hours.
Prototype def-par.txt line would be: snfs,185,5,0,0,0,0,0,0,0,0,8300000,8300000,28,28,54,54,2.5,2.5,100000
total time: 62.23 hours.
Intel64 Family 6 Model 44 Stepping 2, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 2, speed: 2.79GHz
software ソフトウェア
GGNFS (SVN 440), msieve 1.51 (SVN 845)
execution environment 実行環境
Windows 7 Pro 64bits, Intel Xeon X5660 @ 2.8 GHz, 4GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2007 09:00:00 UTC 2007 年 12 月 15 日 (土) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62348300Dmitry DomanovApril 1, 2011 14:57:29 UTC 2011 年 4 月 1 日 (金) 23 時 57 分 29 秒 (日本時間)
2048Youcef LemsaferJune 24, 2013 06:38:54 UTC 2013 年 6 月 24 日 (月) 15 時 38 分 54 秒 (日本時間)
4511e64095Youcef LemsaferJune 24, 2013 06:38:54 UTC 2013 年 6 月 24 日 (月) 15 時 38 分 54 秒 (日本時間)

5×10184+9

c163

name 名前Dmitry Domanov
date 日付January 5, 2014 19:48:47 UTC 2014 年 1 月 6 日 (月) 4 時 48 分 47 秒 (日本時間)
composite number 合成数
4166170166151578089103824796145391818737878735222426541362255052705392126209968296478844129435603219160801699866665224707462004806518099180268789950088470503692121<163>
prime factors 素因数
3886236073153540472820642619673481647228076494734007<52>
339099975673693507374821943000971427996379494011666747<54>
3161404501141495907846407447233946778908471163893150637149<58>
factorization results 素因数分解の結果
N=4166170166151578089103824796145391818737878735222426541362255052705392126209968296478844129435603219160801699866665224707462004806518099180268789950088470503692121
  ( 163 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=3886236073153540472820642619673481647228076494734007 (pp52)
 r2=339099975673693507374821943000971427996379494011666747 (pp54)
 r3=3161404501141495907846407447233946778908471163893150637149 (pp58)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 125.98 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 4166170166151578089103824796145391818737878735222426541362255052705392126209968296478844129435603219160801699866665224707462004806518099180268789950088470503692121
m: 5000000000000000000000000000000000000
deg: 5
c5: 16
c0: 9
skew: 0.89
# Murphy_E = 9.007e-11
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 10200001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1510117 x 1510345
Total sieving time: 122.81 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 2.15 hours.
Time per square root: 0.77 hours.
Prototype def-par.txt line would be:
snfs,184.000,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 125.98 hours.
 --------- CPU info (if available) ----------
[    0.074309] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000)
[    0.707507] Total of 16 processors activated (76799.07 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2007 09:00:00 UTC 2007 年 12 月 15 日 (土) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62348300Dmitry DomanovApril 1, 2011 14:57:39 UTC 2011 年 4 月 1 日 (金) 23 時 57 分 39 秒 (日本時間)
2048Youcef LemsaferJune 24, 2013 06:42:15 UTC 2013 年 6 月 24 日 (月) 15 時 42 分 15 秒 (日本時間)
4511e64096Youcef LemsaferJune 24, 2013 06:42:15 UTC 2013 年 6 月 24 日 (月) 15 時 42 分 15 秒 (日本時間)
5043e61024 / 6487Youcef LemsaferJune 24, 2013 06:42:15 UTC 2013 年 6 月 24 日 (月) 15 時 42 分 15 秒 (日本時間)
5511e724 / 17129Youcef LemsaferJune 24, 2013 06:42:15 UTC 2013 年 6 月 24 日 (月) 15 時 42 分 15 秒 (日本時間)

5×10185+9

c186

name 名前Jo Yeong Uk
date 日付December 18, 2007 10:17:08 UTC 2007 年 12 月 18 日 (火) 19 時 17 分 8 秒 (日本時間)
composite number 合成数
500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009<186>
prime factors 素因数
862676558302067280404855791214660371447819<42>
composite cofactor 合成数の残り
579591499488646557153454224836516440632324855138225561082733176963781513205559091433257936622764264592554118739834167338788722441133338317646011<144>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM]
Input number is 500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009 (186 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=793546000
Step 1 took 29941ms
Step 2 took 12373ms
********** Factor found in step 2: 862676558302067280404855791214660371447819
Found probable prime factor of 42 digits: 862676558302067280404855791214660371447819
Composite cofactor 579591499488646557153454224836516440632324855138225561082733176963781513205559091433257936622764264592554118739834167338788722441133338317646011 has 144 digits
execution environment 実行環境
Core 2 Quad Q6600

c144

name 名前Youcef Lemsafer
date 日付January 11, 2014 23:17:06 UTC 2014 年 1 月 12 日 (日) 8 時 17 分 6 秒 (日本時間)
composite number 合成数
579591499488646557153454224836516440632324855138225561082733176963781513205559091433257936622764264592554118739834167338788722441133338317646011<144>
prime factors 素因数
94925236934868034108855999202179955670331840852817073137<56>
6105768267782436484302791549973847288934435254969344035362231643572525042596866178941803<88>
factorization results 素因数分解の結果
<Sieving rational q in [4000000,10000001) using gnfs-lasieve4I13e>
<  122.72 core.hours on Intel Xeon W3530 @ 2.8 GHz>


<Post-processing using 8 threads on Intel Xeon W3530 @ 2.8 GHz:>

Sat Jan 11 20:34:59 2014  Msieve v. 1.51 (SVN Official Release)
Sat Jan 11 20:34:59 2014  random seeds: fb2c5a18 c43cfe34
Sat Jan 11 20:34:59 2014  factoring 579591499488646557153454224836516440632324855138225561082733176963781513205559091433257936622764264592554118739834167338788722441133338317646011 (144 digits)
Sat Jan 11 20:34:59 2014  searching for 15-digit factors
Sat Jan 11 20:35:00 2014  commencing number field sieve (144-digit input)
Sat Jan 11 20:35:00 2014  R0: -10000000000000000000000000000000000000
Sat Jan 11 20:35:00 2014  R1: 1
Sat Jan 11 20:35:00 2014  A0: 9
Sat Jan 11 20:35:00 2014  A1: 0
Sat Jan 11 20:35:00 2014  A2: 0
Sat Jan 11 20:35:00 2014  A3: 0
Sat Jan 11 20:35:00 2014  A4: 0
Sat Jan 11 20:35:00 2014  A5: 5
Sat Jan 11 20:35:00 2014  skew 1.12, size 8.508e-013, alpha 0.705, combined = 7.253e-011 rroots = 1
Sat Jan 11 20:35:00 2014  
Sat Jan 11 20:35:00 2014  commencing relation filtering
Sat Jan 11 20:35:00 2014  estimated available RAM is 8189.6 MB
Sat Jan 11 20:35:00 2014  commencing duplicate removal, pass 1
Sat Jan 11 20:36:19 2014  found 2445833 hash collisions in 19927378 relations
Sat Jan 11 20:36:57 2014  added 712438 free relations
Sat Jan 11 20:36:57 2014  commencing duplicate removal, pass 2
Sat Jan 11 20:37:06 2014  found 2080888 duplicates and 18558928 unique relations
Sat Jan 11 20:37:06 2014  memory use: 98.6 MB
Sat Jan 11 20:37:06 2014  reading ideals above 720000
Sat Jan 11 20:37:06 2014  commencing singleton removal, initial pass
Sat Jan 11 20:39:11 2014  memory use: 689.0 MB
Sat Jan 11 20:39:11 2014  reading all ideals from disk
Sat Jan 11 20:39:12 2014  memory use: 580.1 MB
Sat Jan 11 20:39:13 2014  keeping 20929462 ideals with weight <= 200, target excess is 115920
Sat Jan 11 20:39:14 2014  commencing in-memory singleton removal
Sat Jan 11 20:39:16 2014  begin with 18558928 relations and 20929462 unique ideals
Sat Jan 11 20:39:29 2014  reduce to 6877285 relations and 6706025 ideals in 21 passes
Sat Jan 11 20:39:29 2014  max relations containing the same ideal: 97
Sat Jan 11 20:39:32 2014  removing 311650 relations and 293254 ideals in 18396 cliques
Sat Jan 11 20:39:32 2014  commencing in-memory singleton removal
Sat Jan 11 20:39:33 2014  begin with 6565635 relations and 6706025 unique ideals
Sat Jan 11 20:39:38 2014  reduce to 6551782 relations and 6398858 ideals in 11 passes
Sat Jan 11 20:39:38 2014  max relations containing the same ideal: 95
Sat Jan 11 20:39:41 2014  removing 224045 relations and 205649 ideals in 18396 cliques
Sat Jan 11 20:39:41 2014  commencing in-memory singleton removal
Sat Jan 11 20:39:41 2014  begin with 6327737 relations and 6398858 unique ideals
Sat Jan 11 20:39:44 2014  reduce to 6320601 relations and 6186041 ideals in 7 passes
Sat Jan 11 20:39:44 2014  max relations containing the same ideal: 91
Sat Jan 11 20:39:46 2014  relations with 0 large ideals: 2856
Sat Jan 11 20:39:46 2014  relations with 1 large ideals: 1114
Sat Jan 11 20:39:46 2014  relations with 2 large ideals: 19366
Sat Jan 11 20:39:46 2014  relations with 3 large ideals: 145405
Sat Jan 11 20:39:46 2014  relations with 4 large ideals: 588906
Sat Jan 11 20:39:46 2014  relations with 5 large ideals: 1363771
Sat Jan 11 20:39:46 2014  relations with 6 large ideals: 1913298
Sat Jan 11 20:39:46 2014  relations with 7+ large ideals: 2285885
Sat Jan 11 20:39:46 2014  commencing 2-way merge
Sat Jan 11 20:39:50 2014  reduce to 3573155 relation sets and 3438600 unique ideals
Sat Jan 11 20:39:50 2014  ignored 5 oversize relation sets
Sat Jan 11 20:39:50 2014  commencing full merge
Sat Jan 11 20:40:42 2014  memory use: 399.7 MB
Sat Jan 11 20:40:46 2014  found 1793965 cycles, need 1782800
Sat Jan 11 20:40:46 2014  weight of 1782800 cycles is about 125109982 (70.18/cycle)
Sat Jan 11 20:40:46 2014  distribution of cycle lengths:
Sat Jan 11 20:40:46 2014  1 relations: 256721
Sat Jan 11 20:40:46 2014  2 relations: 226179
Sat Jan 11 20:40:46 2014  3 relations: 215921
Sat Jan 11 20:40:46 2014  4 relations: 186899
Sat Jan 11 20:40:46 2014  5 relations: 159118
Sat Jan 11 20:40:46 2014  6 relations: 132324
Sat Jan 11 20:40:46 2014  7 relations: 111202
Sat Jan 11 20:40:46 2014  8 relations: 91174
Sat Jan 11 20:40:46 2014  9 relations: 73717
Sat Jan 11 20:40:46 2014  10+ relations: 329545
Sat Jan 11 20:40:46 2014  heaviest cycle: 28 relations
Sat Jan 11 20:40:46 2014  commencing cycle optimization
Sat Jan 11 20:40:48 2014  start with 10461010 relations
Sat Jan 11 20:41:04 2014  pruned 199562 relations
Sat Jan 11 20:41:04 2014  memory use: 358.4 MB
Sat Jan 11 20:41:04 2014  distribution of cycle lengths:
Sat Jan 11 20:41:04 2014  1 relations: 256721
Sat Jan 11 20:41:04 2014  2 relations: 230733
Sat Jan 11 20:41:04 2014  3 relations: 222037
Sat Jan 11 20:41:04 2014  4 relations: 190085
Sat Jan 11 20:41:04 2014  5 relations: 161414
Sat Jan 11 20:41:04 2014  6 relations: 133094
Sat Jan 11 20:41:04 2014  7 relations: 110807
Sat Jan 11 20:41:04 2014  8 relations: 90224
Sat Jan 11 20:41:04 2014  9 relations: 72317
Sat Jan 11 20:41:04 2014  10+ relations: 315368
Sat Jan 11 20:41:04 2014  heaviest cycle: 28 relations
Sat Jan 11 20:41:06 2014  RelProcTime: 366
Sat Jan 11 20:41:06 2014  elapsed time 00:06:07
<...snipped...>
Sat Jan 11 20:41:26 2014  commencing linear algebra
Sat Jan 11 20:41:26 2014  read 1782800 cycles
Sat Jan 11 20:41:29 2014  cycles contain 6131735 unique relations
Sat Jan 11 20:41:59 2014  read 6131735 relations
Sat Jan 11 20:42:06 2014  using 20 quadratic characters above 268435292
Sat Jan 11 20:42:36 2014  building initial matrix
Sat Jan 11 20:43:33 2014  memory use: 740.3 MB
Sat Jan 11 20:43:34 2014  read 1782800 cycles
Sat Jan 11 20:43:35 2014  matrix is 1782620 x 1782800 (537.1 MB) with weight 157988765 (88.62/col)
Sat Jan 11 20:43:35 2014  sparse part has weight 121177855 (67.97/col)
Sat Jan 11 20:43:51 2014  filtering completed in 2 passes
Sat Jan 11 20:43:52 2014  matrix is 1778965 x 1779144 (536.7 MB) with weight 157863171 (88.73/col)
Sat Jan 11 20:43:52 2014  sparse part has weight 121132741 (68.08/col)
Sat Jan 11 20:43:55 2014  matrix starts at (0, 0)
Sat Jan 11 20:43:56 2014  matrix is 1778965 x 1779144 (536.7 MB) with weight 157863171 (88.73/col)
Sat Jan 11 20:43:56 2014  sparse part has weight 121132741 (68.08/col)
Sat Jan 11 20:43:56 2014  saving the first 48 matrix rows for later
Sat Jan 11 20:43:56 2014  matrix includes 64 packed rows
Sat Jan 11 20:43:56 2014  matrix is 1778917 x 1779144 (510.0 MB) with weight 126231230 (70.95/col)
Sat Jan 11 20:43:56 2014  sparse part has weight 115897895 (65.14/col)
Sat Jan 11 20:43:56 2014  using block size 65536 for processor cache size 8192 kB
Sat Jan 11 20:44:04 2014  commencing Lanczos iteration (8 threads)
Sat Jan 11 20:44:04 2014  memory use: 501.1 MB
Sat Jan 11 20:44:14 2014  linear algebra at 0.1%, ETA 3h15m
Sat Jan 11 20:44:18 2014  checkpointing every 530000 dimensions
Sun Jan 12 00:01:39 2014  lanczos halted after 28134 iterations (dim = 1778916)
Sun Jan 12 00:01:41 2014  recovered 37 nontrivial dependencies
Sun Jan 12 00:01:41 2014  BLanczosTime: 12015
Sun Jan 12 00:01:41 2014  
Sun Jan 12 00:01:41 2014  commencing square root phase
Sun Jan 12 00:01:41 2014  reading relations for dependency 1
Sun Jan 12 00:01:42 2014  read 889576 cycles
Sun Jan 12 00:01:43 2014  cycles contain 3068632 unique relations
Sun Jan 12 00:02:03 2014  read 3068632 relations
Sun Jan 12 00:02:17 2014  multiplying 3068632 relations
Sun Jan 12 00:03:55 2014  multiply complete, coefficients have about 75.84 million bits
Sun Jan 12 00:03:56 2014  initial square root is modulo 278041
Sun Jan 12 00:06:04 2014  sqrtTime: 263
Sun Jan 12 00:06:04 2014  prp56 factor: 94925236934868034108855999202179955670331840852817073137
Sun Jan 12 00:06:04 2014  prp88 factor: 6105768267782436484302791549973847288934435254969344035362231643572525042596866178941803
Sun Jan 12 00:06:04 2014  elapsed time 03:24:40
software ソフトウェア
GGNFS (SVN 440), msieve 1.51
execution environment 実行環境
Windows 7 Pro 64-bit, Intel Xeon W3530 @ 2.8 GHz, 8 GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2007 09:00:00 UTC 2007 年 12 月 15 日 (土) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62348300Dmitry DomanovApril 1, 2011 14:57:52 UTC 2011 年 4 月 1 日 (金) 23 時 57 分 52 秒 (日本時間)
2048Youcef LemsaferJune 24, 2013 06:44:51 UTC 2013 年 6 月 24 日 (月) 15 時 44 分 51 秒 (日本時間)
4511e64226Youcef LemsaferJune 24, 2013 06:44:51 UTC 2013 年 6 月 24 日 (月) 15 時 44 分 51 秒 (日本時間)
5043e60 / 5899--
5511e7256 / 17486Youcef LemsaferJune 24, 2013 06:44:51 UTC 2013 年 6 月 24 日 (月) 15 時 44 分 51 秒 (日本時間)

5×10188+9

c156

name 名前Serge Batalov
date 日付December 9, 2008 20:24:51 UTC 2008 年 12 月 10 日 (水) 5 時 24 分 51 秒 (日本時間)
composite number 合成数
129845191370461462826201404851976379398850559208657822132316476585791511138745367860957017894444243743793673442780936904029274749891797522295027809884309747<156>
prime factors 素因数
17069365974029360492115172688628301<35>
composite cofactor 合成数の残り
7606913553087904523289891655928436341384431709516903459521491661869372564112334503851881776661479063881775251744140099647<121>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3476476497
Step 1 took 4752ms
Step 2 took 3258ms
********** Factor found in step 2: 17069365974029360492115172688628301
Found probable prime factor of 35 digits: 17069365974029360492115172688628301
Composite cofactor has 121 digits
software ソフトウェア
GMP-ECM 6.2.1

c121

name 名前Sinkiti Sibata
date 日付April 21, 2009 22:07:27 UTC 2009 年 4 月 22 日 (水) 7 時 7 分 27 秒 (日本時間)
composite number 合成数
7606913553087904523289891655928436341384431709516903459521491661869372564112334503851881776661479063881775251744140099647<121>
prime factors 素因数
112851366896191612350337923343819108022586261622918801<54>
67406481306382958257320834957187828313474877802170323638967682116047<68>
factorization results 素因数分解の結果
Number: 50009_188
N=7606913553087904523289891655928436341384431709516903459521491661869372564112334503851881776661479063881775251744140099647
  ( 121 digits)
Divisors found:
 r1=112851366896191612350337923343819108022586261622918801 (pp54)
 r2=67406481306382958257320834957187828313474877802170323638967682116047 (pp68)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 140.12 hours.
Scaled time: 62.64 units (timescale=0.447).
Factorization parameters were as follows:
name: 50009_188
n: 7606913553087904523289891655928436341384431709516903459521491661869372564112334503851881776661479063881775251744140099647
skew: 109016.74
# norm 2.11e+16
c5: 5700
c4: 4393438342
c3: -159644453182350
c2: -66523826013641583182
c1: -1678125279183183409996345
c0: 13790779317453160370267289525
# alpha -5.21
Y1: 9695498203633
Y0: -266111893921478002019566
# Murphy_E 2.41e-10
# M 5755240981910880162683132603904024483240966666901395640250549525151778137375628477746712617517491336934374610157755148949
type: gnfs
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 60000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [2500000, 5380001)
Primes: RFBsize:348513, AFBsize:347346, largePrimes:7784026 encountered
Relations: rels:7980316, finalFF:810325
Max relations in full relation-set: 28
Initial matrix: 695939 x 810325 with sparse part having weight 73710325.
Pruned matrix : 602700 x 606243 with weight 51408708.
Total sieving time: 117.79 hours.
Total relation processing time: 1.23 hours.
Matrix solve time: 20.51 hours.
Time per square root: 0.59 hours.
Prototype def-par.txt line would be:
gnfs,120,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5000000,5000000,27,27,50,50,2.4,2.4,60000
total time: 140.12 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2007 09:00:00 UTC 2007 年 12 月 15 日 (土) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Serge BatalovJanuary 19, 2009 03:22:03 UTC 2009 年 1 月 19 日 (月) 12 時 22 分 3 秒 (日本時間)

5×10190+9

c141

name 名前Dmitry Domanov
date 日付October 1, 2013 09:22:49 UTC 2013 年 10 月 1 日 (火) 18 時 22 分 49 秒 (日本時間)
composite number 合成数
137302798927080342436220861241014956566382423271124838691612615053136766003607715266773062070364689777585054568587012001241148342088549962547<141>
prime factors 素因数
20003741217730647692519940126886007237575003<44>
6863855987367989449493849870476582843763507637047722564990549147458679178178484364190845574595849<97>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3851361271
Step 1 took 70466ms
Step 2 took 24704ms
********** Factor found in step 2: 20003741217730647692519940126886007237575003
Found probable prime factor of 44 digits: 20003741217730647692519940126886007237575003

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2007 09:00:00 UTC 2007 年 12 月 15 日 (土) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61800300Dmitry DomanovApril 1, 2011 14:58:02 UTC 2011 年 4 月 1 日 (金) 23 時 58 分 2 秒 (日本時間)
1500Dmitry DomanovSeptember 30, 2013 12:05:31 UTC 2013 年 9 月 30 日 (月) 21 時 5 分 31 秒 (日本時間)
4511e61000 / 4081Dmitry DomanovSeptember 30, 2013 12:05:31 UTC 2013 年 9 月 30 日 (月) 21 時 5 分 31 秒 (日本時間)

5×10192+9

c192

name 名前Robert Backstrom
date 日付August 11, 2008 06:37:02 UTC 2008 年 8 月 11 日 (月) 15 時 37 分 2 秒 (日本時間)
composite number 合成数
714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714287<192>
prime factors 素因数
185946012230334004175737692114361<33>
3841360756911088155477151257427655759049773811262830812715564417935995018641284052166995975037217217287976245074877594743197862509898796882391887621294514456167<160>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714287 (192 digits)
Using B1=714000, B2=696728352, polynomial Dickson(3), sigma=3139830089
Step 1 took 11875ms
Step 2 took 5219ms
********** Factor found in step 2: 185946012230334004175737692114361
Found probable prime factor of 33 digits: 185946012230334004175737692114361
Probable prime cofactor 3841360756911088155477151257427655759049773811262830812715564417935995018641284052166995975037217217287976245074877594743197862509898796882391887621294514456167 has 160 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2007 09:00:00 UTC 2007 年 12 月 15 日 (土) 18 時 0 分 0 秒 (日本時間)

5×10193+9

c166

composite cofactor 合成数の残り
2610700813586231994597685342467236251884810695775351952392428887284025260539427325474746413174543122207566073197519258877763329650210891806918425495935009620481718379<166>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2007 09:00:00 UTC 2007 年 12 月 15 日 (土) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61800300Dmitry DomanovApril 1, 2011 14:58:10 UTC 2011 年 4 月 1 日 (金) 23 時 58 分 10 秒 (日本時間)
1500Dmitry DomanovSeptember 30, 2013 12:05:47 UTC 2013 年 9 月 30 日 (月) 21 時 5 分 47 秒 (日本時間)
4511e61000 / 4081Dmitry DomanovSeptember 30, 2013 12:05:47 UTC 2013 年 9 月 30 日 (月) 21 時 5 分 47 秒 (日本時間)

5×10194+9

c195

name 名前Jo Yeong Uk
date 日付September 5, 2008 23:18:57 UTC 2008 年 9 月 6 日 (土) 8 時 18 分 57 秒 (日本時間)
composite number 合成数
500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009<195>
prime factors 素因数
3403248951366474932718274863522798490198007146565255920384348350563174584990964183684189<88>
146918432105661751654501039168244531252281316834293602197361365522821831096719447512829008767795879133716381<108>
factorization results 素因数分解の結果
Number: 50009_194
N=500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009
  ( 195 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=3403248951366474932718274863522798490198007146565255920384348350563174584990964183684189 (pp88)
 r2=146918432105661751654501039168244531252281316834293602197361365522821831096719447512829008767795879133716381 (pp108)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 482.37 hours.
Scaled time: 1149.02 units (timescale=2.382).
Factorization parameters were as follows:
n: 500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009
m: 1000000000000000000000000000000000000000
c5: 1
c0: 18
skew: 1.78
type: snfs
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 53/53
Sieved algebraic special-q in [10000000, 17700001)
Primes: RFBsize:1270607, AFBsize:1269885, largePrimes:23603955 encountered
Relations: rels:24083724, finalFF:2909883
Max relations in full relation-set: 28
Initial matrix: 2540559 x 2909883 with sparse part having weight 199159428.
Pruned matrix : 2192610 x 2205376 with weight 135726398.
Total sieving time: 435.38 hours.
Total relation processing time: 0.62 hours.
Matrix solve time: 46.13 hours.
Time per square root: 0.24 hours.
Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,20000000,20000000,29,29,53,53,2.6,2.6,100000
total time: 482.37 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047092k/8912896k available (2460k kernel code, 339200k reserved, 1251k data, 196k init)
Calibrating delay using timer specific routine.. 5347.61 BogoMIPS (lpj=2673805)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.05 BogoMIPS (lpj=2672026)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2007 09:00:00 UTC 2007 年 12 月 15 日 (土) 18 時 0 分 0 秒 (日本時間)
351e6904Jo Yeong UkJuly 24, 2008 08:01:11 UTC 2008 年 7 月 24 日 (木) 17 時 1 分 11 秒 (日本時間)
403e62350Jo Yeong UkJuly 24, 2008 08:01:14 UTC 2008 年 7 月 24 日 (木) 17 時 1 分 14 秒 (日本時間)
4511e63290 / 3918Jo Yeong UkJuly 24, 2008 08:01:26 UTC 2008 年 7 月 24 日 (木) 17 時 1 分 26 秒 (日本時間)

5×10197+9

c176

composite cofactor 合成数の残り
88018599829249203203091362217039570610309712835983148905422965435791351798202024325109417643392328808090840441954837515327898778791654765420802270488669737048221026083896659921<176>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2007 09:00:00 UTC 2007 年 12 月 15 日 (土) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61800300Dmitry DomanovApril 1, 2011 14:58:26 UTC 2011 年 4 月 1 日 (金) 23 時 58 分 26 秒 (日本時間)
1500Dmitry DomanovSeptember 30, 2013 12:06:00 UTC 2013 年 9 月 30 日 (月) 21 時 6 分 0 秒 (日本時間)
4511e61500 / 4081Dmitry DomanovOctober 2, 2013 13:35:07 UTC 2013 年 10 月 2 日 (水) 22 時 35 分 7 秒 (日本時間)

5×10198+9

c184

name 名前matsui
date 日付November 2, 2011 03:20:04 UTC 2011 年 11 月 2 日 (水) 12 時 20 分 4 秒 (日本時間)
composite number 合成数
5628448932100971555318672742149221060008306242229485968678467934484871657194249284872503773428570735425193648735486276569262735984732208982806784098669504870999875877424433782255468029<184>
prime factors 素因数
19830372094019801185891000999795485858256410322908528341<56>
283829718646496285471987722779291877731636827042472861184391207320774345369455359203441141434328311313622049776976909693527762569<129>
factorization results 素因数分解の結果
N=5628448932100971555318672742149221060008306242229485968678467934484871657194249284872503773428570735425193648735486276569262735984732208982806784098669504870999875877424433782255468029
  ( 184 digits)
SNFS difficulty: 198 digits.
Divisors found:
 r1=19830372094019801185891000999795485858256410322908528341 (pp56)
 r2=283829718646496285471987722779291877731636827042472861184391207320774345369455359203441141434328311313622049776976909693527762569 (pp129)
Version: Msieve v. 1.50
Total time:
Scaled time: 11.35 units (timescale=0.702).
Factorization parameters were as follows:
n: 5628448932100971555318672742149221060008306242229485968678467934484871657194249284872503773428570735425193648735486276569262735984732208982806784098669504870999875877424433782255468029
m: 1000000000000000000000000000000000000000
deg: 5
c5: 5000
c0: 9
skew: 0.28
type: snfs
lss: 1
rlim: 14300000
alim: 14300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 160000
Factor base limits: 14300000/14300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [7150000, 15150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2500296 x 2500519
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,198.000,5,0,0,0,0,0,0,0,0,14300000,14300000,28,28,55,55,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2007 09:00:00 UTC 2007 年 12 月 15 日 (土) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovApril 1, 2011 14:58:35 UTC 2011 年 4 月 1 日 (金) 23 時 58 分 35 秒 (日本時間)

5×10199+9

c197

name 名前Serge Batalov
date 日付October 21, 2008 16:48:00 UTC 2008 年 10 月 22 日 (水) 1 時 48 分 0 秒 (日本時間)
composite number 合成数
18044027426921688920967159870083002526163839769036448935402381811620353662937567665102850956333453626849512811259473114399133886683507758931793576326236015878744135691086250451100685673042223024179<197>
prime factors 素因数
1593430546178302621526623328857130497<37>
composite cofactor 合成数の残り
11324012502583584716566772960189801921788975775190511695521026198515623091804565348455568883549293387605458234997823194604094623522025069708549012210465528813107<161>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1420271003
Step 1 took 29385ms
Step 2 took 17514ms
********** Factor found in step 2: 1593430546178302621526623328857130497
Found probable prime factor of 37 digits: 1593430546178302621526623328857130497
Composite cofactor 11324012502583584716566772960189801921788975775190511695521026198515623091804565348455568883549293387605458234997823194604094623522025069708549012210465528813107 has 161 digits
software ソフトウェア
GMP-ECM 6.2.1

c161

name 名前Dmitry Domanov
date 日付April 1, 2011 12:42:58 UTC 2011 年 4 月 1 日 (金) 21 時 42 分 58 秒 (日本時間)
composite number 合成数
11324012502583584716566772960189801921788975775190511695521026198515623091804565348455568883549293387605458234997823194604094623522025069708549012210465528813107<161>
prime factors 素因数
142242657902914511616833205346375249<36>
composite cofactor 合成数の残り
79610523801605361594728874510962387834761837521252081573284629316350874491352607238749145030534275095822205913932138308472643<125>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1408040392
Step 1 took 29861ms
Step 2 took 11226ms
********** Factor found in step 2: 142242657902914511616833205346375249
Found probable prime factor of 36 digits: 142242657902914511616833205346375249
Composite cofactor 79610523801605361594728874510962387834761837521252081573284629316350874491352607238749145030534275095822205913932138308472643 has 125 digits

c125

name 名前Warut Roonguthai
date 日付September 8, 2011 12:06:44 UTC 2011 年 9 月 8 日 (木) 21 時 6 分 44 秒 (日本時間)
composite number 合成数
79610523801605361594728874510962387834761837521252081573284629316350874491352607238749145030534275095822205913932138308472643<125>
prime factors 素因数
20936594747368515028837001436919629905448834930134580307<56>
3802458076980807630036456909859549691699291795614775513212139001856849<70>
factorization results 素因数分解の結果
N = 79610523801605361594728874510962387834761837521252081573284629316350874491352607238749145030534275095822205913932138308472643 (125 digits)
Divisors found:
r1=20936594747368515028837001436919629905448834930134580307 (pp56)
r2=3802458076980807630036456909859549691699291795614775513212139001856849 (pp70)
Version: Msieve v. 1.48
Total time: 27.42 hours.
Factorization parameters were as follows:
n: 79610523801605361594728874510962387834761837521252081573284629316350874491352607238749145030534275095822205913932138308472643
Y0: -1724486070142182267009250
Y1: 34950816188447
c0: 101803071894948921685564780449
c1: 6126120463143289416634208
c2: -16441289893362530957
c3: -938352779802642
c4: 904579194
c5: 5220
skew: 167973.60 
type: gnfs
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 11594484
Relations: 1649992 relations
Pruned matrix : 975556 x 975790
Polynomial selection time: 0.00 hours.
Total sieving time: 26.11 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 1.18 hours.
time per square root: 0.06 hours.
Prototype def-par.txt line would be: gnfs,124,5,65,2000,1e-05,0.28,250,20,50000,3600,5500000,5500000,27,27,53,53,2.5,2.5,100000
total time: 27.42 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2007 09:00:00 UTC 2007 年 12 月 15 日 (土) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336300Dmitry DomanovApril 1, 2011 12:42:12 UTC 2011 年 4 月 1 日 (金) 21 時 42 分 12 秒 (日本時間)
2036Adam StinchcombeApril 30, 2011 07:38:41 UTC 2011 年 4 月 30 日 (土) 16 時 38 分 41 秒 (日本時間)
4511e64413Adam StinchcombeMay 2, 2011 14:13:58 UTC 2011 年 5 月 2 日 (月) 23 時 13 分 58 秒 (日本時間)
5043e63604 / 6475Adam StinchcombeMay 7, 2011 22:32:15 UTC 2011 年 5 月 8 日 (日) 7 時 32 分 15 秒 (日本時間)

5×10200+9

c148

composite cofactor 合成数の残り
1067092545200264470989589147188761198366121719458604459961620743379316751380986328374927045113259696266455091298668018562718304833351180930092355047<148>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 15, 2007 09:00:00 UTC 2007 年 12 月 15 日 (土) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61800300Dmitry DomanovApril 1, 2011 14:58:53 UTC 2011 年 4 月 1 日 (金) 23 時 58 分 53 秒 (日本時間)
1500Dmitry DomanovSeptember 30, 2013 12:06:12 UTC 2013 年 9 月 30 日 (月) 21 時 6 分 12 秒 (日本時間)
4511e61000 / 4081Dmitry DomanovSeptember 30, 2013 12:06:12 UTC 2013 年 9 月 30 日 (月) 21 時 6 分 12 秒 (日本時間)

5×10201+9

c187

composite cofactor 合成数の残り
2776770683817571927872503280709179491757048345114853331622028427224394004178918745266702937210998035478578437167415524223059574249989922292490586827651924823225813412312034395544454791283<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 30, 2013 12:06:26 UTC 2013 年 9 月 30 日 (月) 21 時 6 分 26 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovOctober 2, 2013 13:35:30 UTC 2013 年 10 月 2 日 (水) 22 時 35 分 30 秒 (日本時間)

5×10202+9

c156

name 名前Dmitry Domanov
date 日付September 25, 2013 05:13:42 UTC 2013 年 9 月 25 日 (水) 14 時 13 分 42 秒 (日本時間)
composite number 合成数
276282917980033475454871065403303337150555390165995903093467502097649569421529155784309071568520939207799834918591754300984139350752192828908067691816887283<156>
prime factors 素因数
8992792339968420931044077508242381<34>
30722706311375101753543942602125363376457093956001285665845710765153571516590789635740419517846075416124240811237850762943<122>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2560869766
Step 1 took 19717ms
Step 2 took 8008ms
********** Factor found in step 2: 8992792339968420931044077508242381
Found probable prime factor of 34 digits: 8992792339968420931044077508242381

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)

5×10204+9

c182

name 名前Dmitry Domanov
date 日付September 24, 2013 13:55:39 UTC 2013 年 9 月 24 日 (火) 22 時 55 分 39 秒 (日本時間)
composite number 合成数
42878235076512455098731218388642907336885011458352941009262069225920079949697688233611990042731839330740410521584798456194043065220245046835530886444026503621545157276246199658736863<182>
prime factors 素因数
1772640932772688401226894806914507<34>
composite cofactor 合成数の残り
24188900461327027663283101456539589837084172711980800724798650376013125117887542121078452106329972620525224120848779283387258724121943480877728350909<149>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3161072209
Step 1 took 22904ms
Step 2 took 8940ms
********** Factor found in step 2: 1772640932772688401226894806914507
Found probable prime factor of 34 digits: 1772640932772688401226894806914507

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 30, 2013 12:06:40 UTC 2013 年 9 月 30 日 (月) 21 時 6 分 40 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovSeptember 30, 2013 12:06:40 UTC 2013 年 9 月 30 日 (月) 21 時 6 分 40 秒 (日本時間)

5×10207+9

c185

composite cofactor 合成数の残り
16668463736254269915963720662071685715331091030973413111992293100426413027170085932006199421377196689451021321934160547013582137240939442816029503914972239598691872933835230473888349713<185>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 30, 2013 12:06:53 UTC 2013 年 9 月 30 日 (月) 21 時 6 分 53 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovOctober 2, 2013 13:35:52 UTC 2013 年 10 月 2 日 (水) 22 時 35 分 52 秒 (日本時間)

5×10208+9

c190

composite cofactor 合成数の残り
1320608514704595494380152311462748676366689290790715066078085725515824313125552175877716652615643890718481866032380754197331149070774127004946408829174744867331543148304607762519367877209801<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 30, 2013 12:07:07 UTC 2013 年 9 月 30 日 (月) 21 時 7 分 7 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovOctober 2, 2013 13:36:08 UTC 2013 年 10 月 2 日 (水) 22 時 36 分 8 秒 (日本時間)

5×10209+9

c179

name 名前Dmitry Domanov
date 日付October 4, 2013 05:34:56 UTC 2013 年 10 月 4 日 (金) 14 時 34 分 56 秒 (日本時間)
composite number 合成数
10834013310162900541461717990422620707039790890543750723144341547680723419135893577961494795602620062911133358557963874585074786923891593560251005612749966558702455279434641173283<179>
prime factors 素因数
13013073513265461801175088129982803315617<41>
composite cofactor 合成数の残り
832548382910367928862781085786838108338288813718938301431738679269952130894128710863302543381982500034095516312014090371084576752906821699<138>
factorization results 素因数分解の結果
13013073513265461801175088129982803315617

c138

name 名前Ignacio Santos
date 日付January 11, 2014 15:48:30 UTC 2014 年 1 月 12 日 (日) 0 時 48 分 30 秒 (日本時間)
composite number 合成数
832548382910367928862781085786838108338288813718938301431738679269952130894128710863302543381982500034095516312014090371084576752906821699<138>
prime factors 素因数
411352267397785793917155957421550125795361893928356136291488553<63>
2023930457894564477594282391088512288326592937602387952029130523096890380683<76>
factorization results 素因数分解の結果
Number: 1
N=832548382910367928862781085786838108338288813718938301431738679269952130894128710863302543381982500034095516312014090371084576752906821699
  ( 138 digits)
Divisors found:
 r1=411352267397785793917155957421550125795361893928356136291488553 (pp63)
 r2=2023930457894564477594282391088512288326592937602387952029130523096890380683 (pp76)
Version: Msieve v. 1.52 (SVN 927)
Total time: 353.01 hours.
Scaled time: 1897.76 units (timescale=5.376).
Factorization parameters were as follows:
# Murphy_E = 2.76e-11, selected by Erik Branger
# expecting poly E from 2.75e-011 to > 3.16e-011
n: 832548382910367928862781085786838108338288813718938301431738679269952130894128710863302543381982500034095516312014090371084576752906821699
Y0: -629834227961808732240049829
Y1: 170967494706167
c0: -3283282605607212528754698117491520
c1: 10429025615123173551356148824
c2: 66956240369066918944022
c3: -73380272515571629
c4: -78131692522
c5: 8400
skew: 961834.12
type: gnfs
# selected mechanically
rlim: 16000000
alim: 16000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved algebraic special-q in [8000000, 19600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2413407 x 2413654
Total sieving time: 350.05 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 2.73 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
gnfs,137,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,16000000,16000000,28,28,55,55,2.6,2.6,100000
total time: 353.01 hours.
software ソフトウェア
GGNFS, Msieve
execution environment 実行環境
Windos 8.1 64 bits, i7-3770k

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 30, 2013 12:07:18 UTC 2013 年 9 月 30 日 (月) 21 時 7 分 18 秒 (日本時間)
4511e63600 / 41431500Dmitry DomanovOctober 2, 2013 13:36:23 UTC 2013 年 10 月 2 日 (水) 22 時 36 分 23 秒 (日本時間)
850Serge BatalovNovember 8, 2013 01:45:56 UTC 2013 年 11 月 8 日 (金) 10 時 45 分 56 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:09:03 UTC 2013 年 11 月 9 日 (土) 2 時 9 分 3 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:23:18 UTC 2014 年 1 月 6 日 (月) 11 時 23 分 18 秒 (日本時間)

5×10211+9

c132

name 名前Serge Batalov
date 日付November 8, 2013 00:30:38 UTC 2013 年 11 月 8 日 (金) 9 時 30 分 38 秒 (日本時間)
composite number 合成数
633941947542972288165441234825858101070481227492942144109119003648049279764911769100368082076283846558036794240277631235382771044737<132>
prime factors 素因数
5599153481417626512808417989631171381699<40>
38896497396410348527263520484697701139089<41>
2910828525209184299591130075961162507874728952260667<52>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1614689010
Step 1 took 29741ms
Step 2 took 13954ms
********** Factor found in step 2: 38896497396410348527263520484697701139089
Found probable prime factor of 41 digits: 38896497396410348527263520484697701139089
Composite cofactor 

SIQS elapsed time = 213.7488 seconds.
***factors found***

PRP40 = 5599153481417626512808417989631171381699
PRP52 = 2910828525209184299591130075961162507874728952260667

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 23, 2013 18:50:10 UTC 2013 年 9 月 24 日 (火) 3 時 50 分 10 秒 (日本時間)
403e61610110Ignacio SantosSeptember 23, 2013 18:50:10 UTC 2013 年 9 月 24 日 (火) 3 時 50 分 10 秒 (日本時間)
1500Dmitry DomanovSeptember 30, 2013 12:07:33 UTC 2013 年 9 月 30 日 (月) 21 時 7 分 33 秒 (日本時間)
4511e6532 / 410532Ignacio SantosSeptember 23, 2013 18:50:10 UTC 2013 年 9 月 24 日 (火) 3 時 50 分 10 秒 (日本時間)
500Dmitry DomanovSeptember 30, 2013 12:07:33 UTC 2013 年 9 月 30 日 (月) 21 時 7 分 33 秒 (日本時間)

5×10212+9

c185

composite cofactor 合成数の残り
52199914233573587976430216507838072842894985485296191677123911135288717185238295323210007961169185767948097054917311237496836521558558294491280768500566520713436999622670145273033691923<185>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 30, 2013 12:07:49 UTC 2013 年 9 月 30 日 (月) 21 時 7 分 49 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovOctober 2, 2013 13:36:45 UTC 2013 年 10 月 2 日 (水) 22 時 36 分 45 秒 (日本時間)

5×10214+9

c214

name 名前Serge Batalov
date 日付January 5, 2014 17:50:50 UTC 2014 年 1 月 6 日 (月) 2 時 50 分 50 秒 (日本時間)
composite number 合成数
1162790697674418604651162790697674418604651162790697674418604651162790697674418604651162790697674418604651162790697674418604651162790697674418604651162790697674418604651162790697674418604651162790697674418604651163<214>
prime factors 素因数
168420251186338440781798058218540513422591721<45>
composite cofactor 合成数の残り
6904102621174213113030183810927527185340406543599263506005583028589847787467354707028847081092256538899519495518069320912656723089623421166976663545571486518228540556003<169>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=2442028436
Step 1 took 77439ms
Step 2 took 37092ms
********** Factor found in step 2: 168420251186338440781798058218540513422591721
Found probable prime factor of 45 digits: 168420251186338440781798058218540513422591721
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 25, 2013 14:54:08 UTC 2013 年 9 月 25 日 (水) 23 時 54 分 8 秒 (日本時間)
403e61610110Ignacio SantosSeptember 25, 2013 14:54:08 UTC 2013 年 9 月 25 日 (水) 23 時 54 分 8 秒 (日本時間)
1500Dmitry DomanovSeptember 30, 2013 12:08:00 UTC 2013 年 9 月 30 日 (月) 21 時 8 分 0 秒 (日本時間)
4511e6882 / 410532Ignacio SantosSeptember 25, 2013 14:54:08 UTC 2013 年 9 月 25 日 (水) 23 時 54 分 8 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:14:24 UTC 2013 年 11 月 9 日 (土) 2 時 14 分 24 秒 (日本時間)

5×10215+9

c178

composite cofactor 合成数の残り
1451750121488546090284847154279361260836766356989168281101524329493309195810209379936467801442271166632130626941660869565163168077029949781018952935304408641933034500559904363481<178>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 30, 2013 12:08:11 UTC 2013 年 9 月 30 日 (月) 21 時 8 分 11 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovOctober 2, 2013 13:37:00 UTC 2013 年 10 月 2 日 (水) 22 時 37 分 0 秒 (日本時間)

5×10216+9

c201

name 名前Dmitry Domanov
date 日付September 24, 2013 14:44:24 UTC 2013 年 9 月 24 日 (火) 23 時 44 分 24 秒 (日本時間)
composite number 合成数
166366406600677670848085971033958868137935335199640568849046636262113476426819057298514921033796067370165691900813547379897959695473396635521190583193561406163738718241590148492975488750152268882612983<201>
prime factors 素因数
6744257142990036307027048317689<31>
composite cofactor 合成数の残り
24667862312100375656519178658733845619191174768915065172797324952797323238008395077048083675891954731248830534000804146375612888719245122397699815795519759385841844654447<170>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3090680696
Step 1 took 27247ms
Step 2 took 9963ms
********** Factor found in step 2: 6744257142990036307027048317689
Found probable prime factor of 31 digits: 6744257142990036307027048317689

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 30, 2013 12:08:20 UTC 2013 年 9 月 30 日 (月) 21 時 8 分 20 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 26, 2013 13:01:38 UTC 2013 年 11 月 26 日 (火) 22 時 1 分 38 秒 (日本時間)

5×10217+9

c168

name 名前Dmitry Domanov
date 日付September 25, 2013 05:10:02 UTC 2013 年 9 月 25 日 (水) 14 時 10 分 2 秒 (日本時間)
composite number 合成数
843079932047014269316804889195510170347820275491816177984793337826610292778245317309235099527317596522368316738092717402839781035384201602145782037293004513413684789753<168>
prime factors 素因数
30783110037091554662225285059769224051<38>
27387743831963705808103849900416533559697719328037564313530626978521599116064472655605250298592505674210744870547781935608712837603<131>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3074912414
Step 1 took 19400ms
********** Factor found in step 1: 30783110037091554662225285059769224051
Found probable prime factor of 38 digits: 30783110037091554662225285059769224051

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)

5×10219+9

c161

name 名前Dmitry Domanov
date 日付September 24, 2013 15:39:11 UTC 2013 年 9 月 25 日 (水) 0 時 39 分 11 秒 (日本時間)
composite number 合成数
30661844780149321375114477441381736594519361034159099532489739477551739583021167976004884297644662205244378475128980864321482543446573363317726042638289461555899<161>
prime factors 素因数
1668427169295803435606847113539<31>
composite cofactor 合成数の残り
18377694480419442395973962523577112365682952551449475451828731767485628931260465414368310457414023767374732944938014745017768787241<131>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2365772274
Step 1 took 19392ms
Step 2 took 7914ms
********** Factor found in step 2: 1668427169295803435606847113539
Found probable prime factor of 31 digits: 1668427169295803435606847113539

c131

name 名前Erik Branger
date 日付November 4, 2013 09:50:30 UTC 2013 年 11 月 4 日 (月) 18 時 50 分 30 秒 (日本時間)
composite number 合成数
18377694480419442395973962523577112365682952551449475451828731767485628931260465414368310457414023767374732944938014745017768787241<131>
prime factors 素因数
1573481297824070299100953004571139848547526735987929<52>
11679639602856110907466980361487727017344865883274321946960285180846904596203729<80>
factorization results 素因数分解の結果
Number: 50009_219
N = 18377694480419442395973962523577112365682952551449475451828731767485628931260465414368310457414023767374732944938014745017768787241 (131 digits)
Divisors found:
r1=1573481297824070299100953004571139848547526735987929 (pp52)
r2=11679639602856110907466980361487727017344865883274321946960285180846904596203729 (pp80)
Version: Msieve v. 1.51 (SVN 845)
Total time: 54.83 hours.
Factorization parameters were as follows:
# Murphy_E = 7.677e-11, selected by Dmitry Domanov
n: 18377694480419442395973962523577112365682952551449475451828731767485628931260465414368310457414023767374732944938014745017768787241
Y0: -41800921587651359518723806
Y1: 12226806278851
c0: -15696173792258681614175457152085695
c1: 44323058644880588966751173411
c2: 12377513147716280944443
c3: -8947511504257835
c4: -848775172
c5: 144
skew: 3911417.19
type: gnfs
# selected mechanically
rlim: 9900000
alim: 9900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 9900000/9900000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19277881
Relations: 2753358 relations
Pruned matrix : 1577203 x 1577434
Polynomial selection time: 0.00 hours.
Total sieving time: 52.80 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.67 hours.
time per square root: 0.27 hours.
Prototype def-par.txt line would be: gnfs,130,5,65,2000,1e-05,0.28,250,20,50000,3600,9900000,9900000,28,28,54,54,2.6,2.6,100000
total time: 54.83 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
351e6418118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 27, 2013 15:12:35 UTC 2013 年 9 月 28 日 (土) 0 時 12 分 35 秒 (日本時間)
403e61610110Ignacio SantosSeptember 27, 2013 15:12:35 UTC 2013 年 9 月 28 日 (土) 0 時 12 分 35 秒 (日本時間)
1500Dmitry DomanovSeptember 30, 2013 12:08:33 UTC 2013 年 9 月 30 日 (月) 21 時 8 分 33 秒 (日本時間)
4511e6532 / 410532Ignacio SantosSeptember 27, 2013 15:12:35 UTC 2013 年 9 月 28 日 (土) 0 時 12 分 35 秒 (日本時間)
500Dmitry DomanovSeptember 30, 2013 12:08:33 UTC 2013 年 9 月 30 日 (月) 21 時 8 分 33 秒 (日本時間)

5×10221+9

c195

composite cofactor 合成数の残り
179058029335751466615051578590198060407594619444122680696799048335542391215720163006872994779295810800928579000753541842415920930121481657771106275961519929305048100977744338147849875157580001483<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 30, 2013 12:08:48 UTC 2013 年 9 月 30 日 (月) 21 時 8 分 48 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovOctober 2, 2013 13:37:27 UTC 2013 年 10 月 2 日 (水) 22 時 37 分 27 秒 (日本時間)

5×10222+9

c222

name 名前Youcef Lemsafer
date 日付January 9, 2014 15:06:10 UTC 2014 年 1 月 10 日 (金) 0 時 6 分 10 秒 (日本時間)
composite number 合成数
714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714287<222>
prime factors 素因数
168636167551518717943732951228139080229795696542790482074327259820341<69>
4235661451850169911334556401514099957703760854950143276372591559084297994727960527097117500911216625526792568895480346597454230973851567349932722496565907<154>
factorization results 素因数分解の結果
<Sieving with gnfs-lasieve4I15e (using 24 threads on 2x Intel Xeon E5-2620 @ 2.0 GHz) took 236.38h>

Wed Jan 08 20:41:27 2014  Msieve v. 1.51 (SVN Official Release)
Wed Jan 08 20:41:27 2014  random seeds: 5ac549c0 f5580e55
Wed Jan 08 20:41:27 2014  factoring 714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714287 (222 digits)
Wed Jan 08 20:41:29 2014  searching for 15-digit factors
Wed Jan 08 20:41:29 2014  commencing number field sieve (222-digit input)
Wed Jan 08 20:41:29 2014  R0: -10000000000000000000000000000000000000
Wed Jan 08 20:41:29 2014  R1: 1
Wed Jan 08 20:41:29 2014  A0: 9
Wed Jan 08 20:41:29 2014  A1: 0
Wed Jan 08 20:41:29 2014  A2: 0
Wed Jan 08 20:41:29 2014  A3: 0
Wed Jan 08 20:41:29 2014  A4: 0
Wed Jan 08 20:41:29 2014  A5: 0
Wed Jan 08 20:41:29 2014  A6: 5
Wed Jan 08 20:41:29 2014  skew 1.10, size 5.757e-011, alpha 0.299, combined = 2.264e-012 rroots = 0
Wed Jan 08 20:41:29 2014  
Wed Jan 08 20:41:29 2014  commencing relation filtering
Wed Jan 08 20:41:29 2014  estimated available RAM is 32739.1 MB
Wed Jan 08 20:41:29 2014  commencing duplicate removal, pass 1
Wed Jan 08 20:46:11 2014  skipped 8 relations with b > 2^32
Wed Jan 08 20:46:11 2014  found 6099482 hash collisions in 49925353 relations
Wed Jan 08 20:46:39 2014  added 2 free relations
Wed Jan 08 20:46:39 2014  commencing duplicate removal, pass 2
Wed Jan 08 20:47:08 2014  found 4841136 duplicates and 45084219 unique relations
Wed Jan 08 20:47:08 2014  memory use: 197.2 MB
Wed Jan 08 20:47:08 2014  reading ideals above 720000
Wed Jan 08 20:47:09 2014  commencing singleton removal, initial pass
Wed Jan 08 20:54:26 2014  memory use: 1378.0 MB
Wed Jan 08 20:54:26 2014  reading all ideals from disk
Wed Jan 08 20:54:27 2014  memory use: 1669.0 MB
Wed Jan 08 20:54:33 2014  keeping 45821803 ideals with weight <= 200, target excess is 244240
Wed Jan 08 20:54:38 2014  commencing in-memory singleton removal
Wed Jan 08 20:54:44 2014  begin with 45084219 relations and 45821803 unique ideals
Wed Jan 08 20:55:32 2014  reduce to 24596635 relations and 22748780 ideals in 17 passes
Wed Jan 08 20:55:32 2014  max relations containing the same ideal: 137
Wed Jan 08 20:55:49 2014  removing 2937395 relations and 2537395 ideals in 400000 cliques
Wed Jan 08 20:55:50 2014  commencing in-memory singleton removal
Wed Jan 08 20:55:52 2014  begin with 21659240 relations and 22748780 unique ideals
Wed Jan 08 20:56:19 2014  reduce to 21324503 relations and 19869130 ideals in 10 passes
Wed Jan 08 20:56:19 2014  max relations containing the same ideal: 126
Wed Jan 08 20:56:32 2014  removing 2232731 relations and 1832731 ideals in 400000 cliques
Wed Jan 08 20:56:33 2014  commencing in-memory singleton removal
Wed Jan 08 20:56:35 2014  begin with 19091772 relations and 19869130 unique ideals
Wed Jan 08 20:56:56 2014  reduce to 18884493 relations and 17824998 ideals in 9 passes
Wed Jan 08 20:56:56 2014  max relations containing the same ideal: 116
Wed Jan 08 20:57:08 2014  removing 2016862 relations and 1616862 ideals in 400000 cliques
Wed Jan 08 20:57:08 2014  commencing in-memory singleton removal
Wed Jan 08 20:57:10 2014  begin with 16867631 relations and 17824998 unique ideals
Wed Jan 08 20:57:24 2014  reduce to 16683550 relations and 16020236 ideals in 9 passes
Wed Jan 08 20:57:24 2014  max relations containing the same ideal: 109
Wed Jan 08 20:57:35 2014  removing 1837310 relations and 1457315 ideals in 379995 cliques
Wed Jan 08 20:57:36 2014  commencing in-memory singleton removal
Wed Jan 08 20:57:37 2014  begin with 14846240 relations and 16020236 unique ideals
Wed Jan 08 20:57:50 2014  reduce to 14677353 relations and 14390435 ideals in 8 passes
Wed Jan 08 20:57:50 2014  max relations containing the same ideal: 96
Wed Jan 08 20:58:01 2014  relations with 0 large ideals: 8861
Wed Jan 08 20:58:01 2014  relations with 1 large ideals: 2429
Wed Jan 08 20:58:01 2014  relations with 2 large ideals: 18891
Wed Jan 08 20:58:01 2014  relations with 3 large ideals: 158715
Wed Jan 08 20:58:01 2014  relations with 4 large ideals: 735115
Wed Jan 08 20:58:01 2014  relations with 5 large ideals: 2046569
Wed Jan 08 20:58:01 2014  relations with 6 large ideals: 3547101
Wed Jan 08 20:58:01 2014  relations with 7+ large ideals: 8159672
Wed Jan 08 20:58:01 2014  commencing 2-way merge
Wed Jan 08 20:58:12 2014  reduce to 9120669 relation sets and 8833751 unique ideals
Wed Jan 08 20:58:12 2014  commencing full merge
Wed Jan 08 21:01:13 2014  memory use: 1135.5 MB
Wed Jan 08 21:01:14 2014  found 4820655 cycles, need 4779951
Wed Jan 08 21:01:14 2014  weight of 4779951 cycles is about 334821506 (70.05/cycle)
Wed Jan 08 21:01:14 2014  distribution of cycle lengths:
Wed Jan 08 21:01:14 2014  1 relations: 671864
Wed Jan 08 21:01:14 2014  2 relations: 599266
Wed Jan 08 21:01:14 2014  3 relations: 578205
Wed Jan 08 21:01:14 2014  4 relations: 517970
Wed Jan 08 21:01:14 2014  5 relations: 460292
Wed Jan 08 21:01:14 2014  6 relations: 397280
Wed Jan 08 21:01:14 2014  7 relations: 342632
Wed Jan 08 21:01:15 2014  8 relations: 286994
Wed Jan 08 21:01:15 2014  9 relations: 234739
Wed Jan 08 21:01:15 2014  10+ relations: 690709
Wed Jan 08 21:01:15 2014  heaviest cycle: 21 relations
Wed Jan 08 21:01:16 2014  commencing cycle optimization
Wed Jan 08 21:01:24 2014  start with 25568021 relations
Wed Jan 08 21:02:07 2014  pruned 584610 relations
Wed Jan 08 21:02:07 2014  memory use: 857.5 MB
Wed Jan 08 21:02:07 2014  distribution of cycle lengths:
Wed Jan 08 21:02:07 2014  1 relations: 671864
Wed Jan 08 21:02:07 2014  2 relations: 611553
Wed Jan 08 21:02:07 2014  3 relations: 597104
Wed Jan 08 21:02:07 2014  4 relations: 529000
Wed Jan 08 21:02:07 2014  5 relations: 470465
Wed Jan 08 21:02:07 2014  6 relations: 402056
Wed Jan 08 21:02:07 2014  7 relations: 345440
Wed Jan 08 21:02:07 2014  8 relations: 286298
Wed Jan 08 21:02:07 2014  9 relations: 231094
Wed Jan 08 21:02:07 2014  10+ relations: 635077
Wed Jan 08 21:02:07 2014  heaviest cycle: 21 relations
Wed Jan 08 21:02:12 2014  RelProcTime: 1243
Wed Jan 08 21:02:12 2014  elapsed time 00:20:45
<...snipped...>
Wed Jan 08 21:03:02 2014  commencing linear algebra
Wed Jan 08 21:03:04 2014  read 4779951 cycles
Wed Jan 08 21:03:12 2014  cycles contain 14411385 unique relations
Wed Jan 08 21:04:30 2014  read 14411385 relations
Wed Jan 08 21:04:53 2014  using 20 quadratic characters above 536870910
Wed Jan 08 21:06:16 2014  building initial matrix
Wed Jan 08 21:09:40 2014  memory use: 1839.5 MB
Wed Jan 08 21:09:44 2014  read 4779951 cycles
Wed Jan 08 21:09:46 2014  matrix is 4779773 x 4779951 (1436.7 MB) with weight 425897290 (89.10/col)
Wed Jan 08 21:09:46 2014  sparse part has weight 324041411 (67.79/col)
Wed Jan 08 21:10:35 2014  filtering completed in 2 passes
Wed Jan 08 21:10:37 2014  matrix is 4776236 x 4776414 (1436.4 MB) with weight 425793839 (89.15/col)
Wed Jan 08 21:10:37 2014  sparse part has weight 324013160 (67.84/col)
Wed Jan 08 21:11:11 2014  matrix starts at (0, 0)
Wed Jan 08 21:11:13 2014  matrix is 4776236 x 4776414 (1436.4 MB) with weight 425793839 (89.15/col)
Wed Jan 08 21:11:13 2014  sparse part has weight 324013160 (67.84/col)
Wed Jan 08 21:11:13 2014  saving the first 48 matrix rows for later
Wed Jan 08 21:11:15 2014  matrix includes 64 packed rows
Wed Jan 08 21:11:16 2014  matrix is 4776188 x 4776414 (1376.2 MB) with weight 339020490 (70.98/col)
Wed Jan 08 21:11:16 2014  sparse part has weight 312990238 (65.53/col)
Wed Jan 08 21:11:16 2014  using block size 65536 for processor cache size 15360 kB
Wed Jan 08 21:11:37 2014  commencing Lanczos iteration (16 threads)
Wed Jan 08 21:11:37 2014  memory use: 1668.7 MB
Wed Jan 08 21:11:58 2014  linear algebra at 0.0%, ETA 17h26m
Wed Jan 08 21:12:04 2014  checkpointing every 290000 dimensions
Thu Jan 09 14:38:07 2014  lanczos halted after 75534 iterations (dim = 4776187)
Thu Jan 09 14:38:15 2014  recovered 37 nontrivial dependencies
Thu Jan 09 14:38:16 2014  BLanczosTime: 63314
Thu Jan 09 14:38:16 2014  
Thu Jan 09 14:38:16 2014  commencing square root phase
Thu Jan 09 14:38:16 2014  reading relations for dependency 1
Thu Jan 09 14:38:19 2014  read 2387307 cycles
Thu Jan 09 14:38:24 2014  cycles contain 7204986 unique relations
Thu Jan 09 14:39:28 2014  read 7204986 relations
Thu Jan 09 14:40:26 2014  multiplying 7204986 relations
Thu Jan 09 14:49:16 2014  multiply complete, coefficients have about 196.16 million bits
Thu Jan 09 14:49:20 2014  initial square root is modulo 10956133
Thu Jan 09 15:01:28 2014  GCD is N, no factor found
Thu Jan 09 15:01:28 2014  reading relations for dependency 2
Thu Jan 09 15:01:30 2014  read 2387304 cycles
Thu Jan 09 15:01:36 2014  cycles contain 7202262 unique relations
Thu Jan 09 15:02:37 2014  read 7202262 relations
Thu Jan 09 15:03:27 2014  multiplying 7202262 relations
Thu Jan 09 15:12:37 2014  multiply complete, coefficients have about 196.07 million bits
Thu Jan 09 15:12:41 2014  initial square root is modulo 10876633
Thu Jan 09 15:24:17 2014  GCD is 1, no factor found
Thu Jan 09 15:24:17 2014  reading relations for dependency 3
Thu Jan 09 15:24:20 2014  read 2387339 cycles
Thu Jan 09 15:24:25 2014  cycles contain 7205454 unique relations
Thu Jan 09 15:25:29 2014  read 7205454 relations
Thu Jan 09 15:26:21 2014  multiplying 7205454 relations
Thu Jan 09 15:33:48 2014  multiply complete, coefficients have about 196.16 million bits
Thu Jan 09 15:33:50 2014  initial square root is modulo 10960717
Thu Jan 09 15:43:19 2014  sqrtTime: 3903
Thu Jan 09 15:43:19 2014  prp69 factor: 168636167551518717943732951228139080229795696542790482074327259820341
Thu Jan 09 15:43:19 2014  prp154 factor: 4235661451850169911334556401514099957703760854950143276372591559084297994727960527097117500911216625526792568895480346597454230973851567349932722496565907
Thu Jan 09 15:43:19 2014  elapsed time 18:40:19
software ソフトウェア
GGNFS (SVN 440), msieve 1.51
execution environment 実行環境
Windows 7 Pro 64-bit, 2x Intel Xeon E5-2620 @ 2.0 GHz, 32 GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 25, 2013 14:55:21 UTC 2013 年 9 月 25 日 (水) 23 時 55 分 21 秒 (日本時間)
403e62610110Ignacio SantosSeptember 25, 2013 14:55:21 UTC 2013 年 9 月 25 日 (水) 23 時 55 分 21 秒 (日本時間)
1500Dmitry DomanovSeptember 30, 2013 12:08:59 UTC 2013 年 9 月 30 日 (月) 21 時 8 分 59 秒 (日本時間)
1000Youcef LemsaferOctober 27, 2013 12:46:46 UTC 2013 年 10 月 27 日 (日) 21 時 46 分 46 秒 (日本時間)
4511e6384432Ignacio SantosSeptember 25, 2013 14:55:21 UTC 2013 年 9 月 25 日 (水) 23 時 55 分 21 秒 (日本時間)
500Youcef LemsaferOctober 27, 2013 12:46:46 UTC 2013 年 10 月 27 日 (日) 21 時 46 分 46 秒 (日本時間)
3312Youcef LemsaferNovember 1, 2013 05:42:27 UTC 2013 年 11 月 1 日 (金) 14 時 42 分 27 秒 (日本時間)
5043e643043024Youcef LemsaferNovember 1, 2013 22:13:49 UTC 2013 年 11 月 2 日 (土) 7 時 13 分 49 秒 (日本時間)
1280Youcef LemsaferDecember 4, 2013 08:17:03 UTC 2013 年 12 月 4 日 (水) 17 時 17 分 3 秒 (日本時間)
5511e7960 / 15972Youcef LemsaferDecember 1, 2013 13:48:40 UTC 2013 年 12 月 1 日 (日) 22 時 48 分 40 秒 (日本時間)

5×10223+9

c207

name 名前Dmitry Domanov
date 日付September 24, 2013 12:47:44 UTC 2013 年 9 月 24 日 (火) 21 時 47 分 44 秒 (日本時間)
composite number 合成数
297008699416929057011402975476596111247729327483430772808635176422021564876258676039097322810071290662957108584192888005992126670956392866182187713795309995675288481654826776439860885748603864345125511220779<207>
prime factors 素因数
37693995748476865700906426093395217<35>
composite cofactor 合成数の残り
7879469754249403173256596316588219988192590043037405981265569692005329598619162929218454204463942882943524616887994703792614217345686039156859693945621496914321150804305787<172>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2594465528
Step 1 took 26713ms
Step 2 took 10310ms
********** Factor found in step 2: 37693995748476865700906426093395217
Found probable prime factor of 35 digits: 37693995748476865700906426093395217

c172

name 名前Dmitry Domanov
date 日付September 26, 2013 05:01:38 UTC 2013 年 9 月 26 日 (木) 14 時 1 分 38 秒 (日本時間)
composite number 合成数
7879469754249403173256596316588219988192590043037405981265569692005329598619162929218454204463942882943524616887994703792614217345686039156859693945621496914321150804305787<172>
prime factors 素因数
324908947446970527690957463616073353<36>
composite cofactor 合成数の残り
24251316610895850124077980621755931216293020018366362326452882737390713866622715320957906615307044465810883892777472014102724836817585379<137>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1300151452
Step 1 took 19568ms
Step 2 took 8276ms
********** Factor found in step 2: 324908947446970527690957463616073353
Found probable prime factor of 36 digits: 324908947446970527690957463616073353

c137

name 名前Youcef Lemsafer
date 日付November 30, 2013 13:58:27 UTC 2013 年 11 月 30 日 (土) 22 時 58 分 27 秒 (日本時間)
composite number 合成数
24251316610895850124077980621755931216293020018366362326452882737390713866622715320957906615307044465810883892777472014102724836817585379<137>
prime factors 素因数
2112678050258351803554812196626138517923484919733873265819083<61>
11478945695455227454438396151689557814700068352871997646765345040356816663113<77>
factorization results 素因数分解の結果
Mon Nov 25 16:13:20 2013  Msieve v. 1.51 (SVN 845)
Mon Nov 25 16:13:20 2013  random seeds: 7aade010 a0a2c917
Mon Nov 25 16:13:20 2013  factoring 24251316610895850124077980621755931216293020018366362326452882737390713866622715320957906615307044465810883892777472014102724836817585379 (137 digits)
Mon Nov 25 16:13:23 2013  searching for 15-digit factors
Mon Nov 25 16:13:25 2013  commencing number field sieve (137-digit input)
Mon Nov 25 16:13:25 2013  commencing number field sieve polynomial selection
Mon Nov 25 16:13:25 2013  polynomial degree: 5
Mon Nov 25 16:13:25 2013  max stage 1 norm: 5.88e+020
Mon Nov 25 16:13:25 2013  max stage 2 norm: 2.34e+018
Mon Nov 25 16:13:25 2013  min E-value: 2.75e-011
Mon Nov 25 16:13:25 2013  poly select deadline: 86400
Mon Nov 25 16:13:25 2013  time limit set to 24.00 CPU-hours
Mon Nov 25 16:13:25 2013  expecting poly E from 2.96e-011 to > 3.41e-011
Mon Nov 25 16:13:25 2013  searching leading coefficients from 10153 to 2000000
Tue Nov 26 13:57:08 2013  polynomial selection complete
Tue Nov 26 13:57:08 2013  R0: -295168098731283367278274010
Tue Nov 26 13:57:08 2013  R1: 207194064729359
Tue Nov 26 13:57:08 2013  A0: 5656562426799633326852381184487341
Tue Nov 26 13:57:08 2013  A1: 48169027351059826753010511222
Tue Nov 26 13:57:08 2013  A2: -25968734531727519953165
Tue Nov 26 13:57:08 2013  A3: -77264269375117762
Tue Nov 26 13:57:08 2013  A4: 15927389908
Tue Nov 26 13:57:08 2013  A5: 10824
Tue Nov 26 13:57:08 2013  skew 1363692.69, size 3.362e-013, alpha -6.979, combined = 3.322e-011 rroots = 5
Tue Nov 26 13:57:08 2013  elapsed time 21:43:48


<Sieving:>
<[6500000, 6900000]    926244 relations, 2013-11-30 00:04:50 => 2013-11-30 09:36:51 (0.397d), Intel Xeon W3530, 1 thread>
<[7000000, 9000000]   4384607 relations, 2013-11-26 14:32:42 => 2013-11-27 15:36:31 (1.044d), Intel Xeon X5660, 2 threads>
<[9000000, 12000000]  6451707 relations, 2013-11-27 16:00:58 => 2013-11-29 06:53:00 (1.619d), Intel Xeon X5660, 2 threads>
<[12000000, 13000000] 2200609 relations, 2013-11-28 22:14:21 => 2013-11-29 07:13:19 (0.374d), Intel Xeon W3530, 3 threads>
<[13000000, 15000000] 4321477 relations, 2013-11-29 08:32:50 => 2013-11-30 02:55:19 (0.766d), Intel Xeon W3530, 3 threads>
<[15000000, 16000000] 2136328 relations, 2013-11-29 08:35:03 => 2013-11-29 22:50:15 (0.594d), Intel Xeon X5660, 2 threads>
<[16000000, 16720000] 1513095 relations, 2013-11-29 23:03:28 => 2013-11-30 09:32:11 (0.437d), Intel Xeon X5660, 2 threads>
<[17000000, 17600000] 1245191 relations, 2013-11-30 03:56:33 => 2013-11-30 09:38:12 (0.237d), Intel Xeon W3530, 3 threads>



Sat Nov 30 10:00:57 2013  
Sat Nov 30 10:00:57 2013  
Sat Nov 30 10:00:57 2013  Msieve v. 1.51 (SVN 845)
Sat Nov 30 10:00:57 2013  random seeds: df91a038 3fe52a33
Sat Nov 30 10:00:57 2013  factoring 24251316610895850124077980621755931216293020018366362326452882737390713866622715320957906615307044465810883892777472014102724836817585379 (137 digits)
Sat Nov 30 10:00:58 2013  searching for 15-digit factors
Sat Nov 30 10:00:58 2013  commencing number field sieve (137-digit input)
Sat Nov 30 10:00:58 2013  R0: -295168098731283367278274010
Sat Nov 30 10:00:58 2013  R1: 207194064729359
Sat Nov 30 10:00:58 2013  A0: 5656562426799633326852381184487341
Sat Nov 30 10:00:58 2013  A1: 48169027351059826753010511222
Sat Nov 30 10:00:58 2013  A2: -25968734531727519953165
Sat Nov 30 10:00:58 2013  A3: -77264269375117762
Sat Nov 30 10:00:58 2013  A4: 15927389908
Sat Nov 30 10:00:58 2013  A5: 10824
Sat Nov 30 10:00:58 2013  skew 1363692.69, size 3.362e-013, alpha -6.979, combined = 3.322e-011 rroots = 5
Sat Nov 30 10:00:58 2013  
Sat Nov 30 10:00:58 2013  commencing relation filtering
Sat Nov 30 10:00:58 2013  estimated available RAM is 4096.0 MB
Sat Nov 30 10:00:58 2013  commencing duplicate removal, pass 1
Sat Nov 30 10:03:19 2013  found 3273052 hash collisions in 23179258 relations
Sat Nov 30 10:04:05 2013  added 121351 free relations
Sat Nov 30 10:04:05 2013  commencing duplicate removal, pass 2
Sat Nov 30 10:04:20 2013  found 2854413 duplicates and 20446196 unique relations
Sat Nov 30 10:04:20 2013  memory use: 98.6 MB
Sat Nov 30 10:04:20 2013  reading ideals above 17498112
Sat Nov 30 10:04:26 2013  commencing singleton removal, initial pass
Sat Nov 30 10:06:43 2013  memory use: 376.5 MB
Sat Nov 30 10:06:43 2013  reading all ideals from disk
Sat Nov 30 10:06:43 2013  memory use: 342.0 MB
Sat Nov 30 10:06:44 2013  commencing in-memory singleton removal
Sat Nov 30 10:06:44 2013  begin with 20446196 relations and 19614196 unique ideals
Sat Nov 30 10:06:52 2013  reduce to 9065739 relations and 6481045 ideals in 18 passes
Sat Nov 30 10:06:52 2013  max relations containing the same ideal: 35
Sat Nov 30 10:06:53 2013  reading ideals above 100000
Sat Nov 30 10:06:53 2013  commencing singleton removal, initial pass
Sat Nov 30 10:08:09 2013  memory use: 188.3 MB
Sat Nov 30 10:08:09 2013  reading all ideals from disk
Sat Nov 30 10:08:09 2013  memory use: 350.2 MB
Sat Nov 30 10:08:10 2013  keeping 8672343 ideals with weight <= 200, target excess is 47199
Sat Nov 30 10:08:11 2013  commencing in-memory singleton removal
Sat Nov 30 10:08:11 2013  begin with 9066121 relations and 8672343 unique ideals
Sat Nov 30 10:08:22 2013  reduce to 9006313 relations and 8610692 ideals in 13 passes
Sat Nov 30 10:08:22 2013  max relations containing the same ideal: 200
Sat Nov 30 10:08:26 2013  removing 1347383 relations and 1176948 ideals in 170435 cliques
Sat Nov 30 10:08:27 2013  commencing in-memory singleton removal
Sat Nov 30 10:08:27 2013  begin with 7658930 relations and 8610692 unique ideals
Sat Nov 30 10:08:35 2013  reduce to 7495033 relations and 7265729 ideals in 11 passes
Sat Nov 30 10:08:35 2013  max relations containing the same ideal: 184
Sat Nov 30 10:08:38 2013  removing 1012442 relations and 842007 ideals in 170435 cliques
Sat Nov 30 10:08:38 2013  commencing in-memory singleton removal
Sat Nov 30 10:08:39 2013  begin with 6482591 relations and 7265729 unique ideals
Sat Nov 30 10:08:45 2013  reduce to 6371185 relations and 6309717 ideals in 10 passes
Sat Nov 30 10:08:45 2013  max relations containing the same ideal: 164
Sat Nov 30 10:08:49 2013  relations with 0 large ideals: 172
Sat Nov 30 10:08:49 2013  relations with 1 large ideals: 121
Sat Nov 30 10:08:49 2013  relations with 2 large ideals: 1634
Sat Nov 30 10:08:49 2013  relations with 3 large ideals: 21436
Sat Nov 30 10:08:49 2013  relations with 4 large ideals: 140958
Sat Nov 30 10:08:49 2013  relations with 5 large ideals: 548348
Sat Nov 30 10:08:49 2013  relations with 6 large ideals: 1299676
Sat Nov 30 10:08:49 2013  relations with 7+ large ideals: 4358840
Sat Nov 30 10:08:49 2013  commencing 2-way merge
Sat Nov 30 10:08:53 2013  reduce to 3782458 relation sets and 3720991 unique ideals
Sat Nov 30 10:08:53 2013  ignored 1 oversize relation sets
Sat Nov 30 10:08:53 2013  commencing full merge
Sat Nov 30 10:09:54 2013  memory use: 401.3 MB
Sat Nov 30 10:09:54 2013  found 1956779 cycles, need 1945191
Sat Nov 30 10:09:54 2013  weight of 1945191 cycles is about 136542192 (70.19/cycle)
Sat Nov 30 10:09:54 2013  distribution of cycle lengths:
Sat Nov 30 10:09:54 2013  1 relations: 272057
Sat Nov 30 10:09:54 2013  2 relations: 240078
Sat Nov 30 10:09:54 2013  3 relations: 224761
Sat Nov 30 10:09:54 2013  4 relations: 197540
Sat Nov 30 10:09:54 2013  5 relations: 176282
Sat Nov 30 10:09:54 2013  6 relations: 148988
Sat Nov 30 10:09:54 2013  7 relations: 130528
Sat Nov 30 10:09:54 2013  8 relations: 111086
Sat Nov 30 10:09:54 2013  9 relations: 93147
Sat Nov 30 10:09:54 2013  10+ relations: 350724
Sat Nov 30 10:09:54 2013  heaviest cycle: 24 relations
Sat Nov 30 10:09:55 2013  commencing cycle optimization
Sat Nov 30 10:09:57 2013  start with 11149727 relations
Sat Nov 30 10:10:15 2013  pruned 249099 relations
Sat Nov 30 10:10:15 2013  memory use: 295.9 MB
Sat Nov 30 10:10:15 2013  distribution of cycle lengths:
Sat Nov 30 10:10:15 2013  1 relations: 272057
Sat Nov 30 10:10:15 2013  2 relations: 245152
Sat Nov 30 10:10:15 2013  3 relations: 232291
Sat Nov 30 10:10:15 2013  4 relations: 201364
Sat Nov 30 10:10:15 2013  5 relations: 179638
Sat Nov 30 10:10:15 2013  6 relations: 150608
Sat Nov 30 10:10:15 2013  7 relations: 131329
Sat Nov 30 10:10:15 2013  8 relations: 110780
Sat Nov 30 10:10:15 2013  9 relations: 92025
Sat Nov 30 10:10:15 2013  10+ relations: 329947
Sat Nov 30 10:10:15 2013  heaviest cycle: 23 relations
Sat Nov 30 10:10:17 2013  RelProcTime: 559
Sat Nov 30 10:10:17 2013  elapsed time 00:09:20
<..snipped...>
Sat Nov 30 10:14:15 2013  
Sat Nov 30 10:14:17 2013  
Sat Nov 30 10:14:17 2013  commencing linear algebra
Sat Nov 30 10:14:18 2013  read 1945191 cycles
Sat Nov 30 10:14:21 2013  cycles contain 6258670 unique relations
Sat Nov 30 10:14:59 2013  read 6258670 relations
Sat Nov 30 10:15:08 2013  using 20 quadratic characters above 268435010
Sat Nov 30 10:15:34 2013  building initial matrix
Sat Nov 30 10:16:46 2013  memory use: 737.0 MB
Sat Nov 30 10:16:48 2013  read 1945191 cycles
Sat Nov 30 10:16:49 2013  matrix is 1945013 x 1945191 (561.5 MB) with weight 185956931 (95.60/col)
Sat Nov 30 10:16:49 2013  sparse part has weight 131622072 (67.67/col)
Sat Nov 30 10:17:07 2013  filtering completed in 2 passes
Sat Nov 30 10:17:08 2013  matrix is 1943708 x 1943885 (561.4 MB) with weight 185906115 (95.64/col)
Sat Nov 30 10:17:08 2013  sparse part has weight 131609154 (67.70/col)
Sat Nov 30 10:17:11 2013  matrix starts at (0, 0)
Sat Nov 30 10:17:12 2013  matrix is 1943708 x 1943885 (561.4 MB) with weight 185906115 (95.64/col)
Sat Nov 30 10:17:12 2013  sparse part has weight 131609154 (67.70/col)
Sat Nov 30 10:17:12 2013  saving the first 48 matrix rows for later
Sat Nov 30 10:17:13 2013  matrix includes 64 packed rows
Sat Nov 30 10:17:13 2013  matrix is 1943660 x 1943885 (542.0 MB) with weight 148590924 (76.44/col)
Sat Nov 30 10:17:13 2013  sparse part has weight 130407825 (67.09/col)
Sat Nov 30 10:17:13 2013  using block size 65536 for processor cache size 8192 kB
Sat Nov 30 10:17:25 2013  commencing Lanczos iteration (8 threads)
Sat Nov 30 10:17:25 2013  memory use: 553.3 MB
Sat Nov 30 10:17:37 2013  linear algebra at 0.1%, ETA 4h15m
Sat Nov 30 10:17:41 2013  checkpointing every 460000 dimensions
Sat Nov 30 14:28:48 2013  lanczos halted after 30737 iterations (dim = 1943660)
Sat Nov 30 14:28:51 2013  recovered 31 nontrivial dependencies
Sat Nov 30 14:28:51 2013  BLanczosTime: 15274
Sat Nov 30 14:28:51 2013  
Sat Nov 30 14:28:51 2013  commencing square root phase
Sat Nov 30 14:28:51 2013  reading relations for dependency 1
Sat Nov 30 14:28:52 2013  read 972361 cycles
Sat Nov 30 14:28:53 2013  cycles contain 3128908 unique relations
Sat Nov 30 14:29:23 2013  read 3128908 relations
Sat Nov 30 14:29:38 2013  multiplying 3128908 relations
Sat Nov 30 14:37:04 2013  multiply complete, coefficients have about 145.42 million bits
Sat Nov 30 14:37:06 2013  initial square root is modulo 165587
Sat Nov 30 14:46:27 2013  sqrtTime: 1056
Sat Nov 30 14:46:27 2013  prp61 factor: 2112678050258351803554812196626138517923484919733873265819083
Sat Nov 30 14:46:27 2013  prp77 factor: 11478945695455227454438396151689557814700068352871997646765345040356816663113
Sat Nov 30 14:46:27 2013  elapsed time 04:32:12
software ソフトウェア
GGNFS (SVN 440), msieve 1.51 (SVN 845)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 27, 2013 11:57:18 UTC 2013 年 9 月 27 日 (金) 20 時 57 分 18 秒 (日本時間)
403e61610110Ignacio SantosSeptember 27, 2013 11:57:18 UTC 2013 年 9 月 27 日 (金) 20 時 57 分 18 秒 (日本時間)
1500Dmitry DomanovSeptember 30, 2013 12:09:11 UTC 2013 年 9 月 30 日 (月) 21 時 9 分 11 秒 (日本時間)
4511e62732 / 410532Ignacio SantosSeptember 27, 2013 11:57:18 UTC 2013 年 9 月 27 日 (金) 20 時 57 分 18 秒 (日本時間)
1000Dmitry DomanovSeptember 30, 2013 12:09:11 UTC 2013 年 9 月 30 日 (月) 21 時 9 分 11 秒 (日本時間)
850Serge BatalovNovember 8, 2013 01:45:40 UTC 2013 年 11 月 8 日 (金) 10 時 45 分 40 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:08:48 UTC 2013 年 11 月 9 日 (土) 2 時 8 分 48 秒 (日本時間)

5×10225+9

c190

composite cofactor 合成数の残り
2671429345696722181995789034113743477679539321658103059423255918016749499926252956511425172567055533821911207633656050607387566481572645661168641648751941680345963327049078217647496698294209<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 30, 2013 12:09:26 UTC 2013 年 9 月 30 日 (月) 21 時 9 分 26 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovOctober 2, 2013 13:37:44 UTC 2013 年 10 月 2 日 (水) 22 時 37 分 44 秒 (日本時間)

5×10226+9

c192

name 名前Dmitry Domanov
date 日付September 24, 2013 11:25:26 UTC 2013 年 9 月 24 日 (火) 20 時 25 分 26 秒 (日本時間)
composite number 合成数
569425116383765402086509774231965892533241477257487753197841118801811801957738781788304867552237288137608878514343101122388797670697393601652066843566458418713852062009346133166844092927556647<192>
prime factors 素因数
246356983626500158449846545049463<33>
composite cofactor 合成数の残り
2311382076536000462786030100837335088697275554276610055492327079013440307683400925648332316083990123725597367549522448022851472477835735833927963213825485429969<160>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=926796749
Step 1 took 22745ms
Step 2 took 9411ms
********** Factor found in step 2: 246356983626500158449846545049463
Found probable prime factor of 33 digits: 246356983626500158449846545049463

c160

name 名前Dmitry Domanov
date 日付September 25, 2013 05:13:01 UTC 2013 年 9 月 25 日 (水) 14 時 13 分 1 秒 (日本時間)
composite number 合成数
2311382076536000462786030100837335088697275554276610055492327079013440307683400925648332316083990123725597367549522448022851472477835735833927963213825485429969<160>
prime factors 素因数
9740042102177178830936135702579749<34>
237307195624887520767770052163021632887874297205275691488000504437760569526395723423417903946759122992969650598357440085854781<126>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2223589952
Step 1 took 19407ms
Step 2 took 7934ms
********** Factor found in step 2: 9740042102177178830936135702579749
Found probable prime factor of 34 digits: 9740042102177178830936135702579749

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)

5×10227+9

c209

composite cofactor 合成数の残り
95912592364230052599414575272528199194727560391237403823422298940289287444155247765731123303720605372341445861323864890478915984681152071664098906194350749915208972945309851634068198023590936388726981915019779<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e623401500Dmitry DomanovSeptember 30, 2013 12:09:35 UTC 2013 年 9 月 30 日 (月) 21 時 9 分 35 秒 (日本時間)
840Youcef LemsaferDecember 31, 2013 15:19:23 UTC 2014 年 1 月 1 日 (水) 0 時 19 分 23 秒 (日本時間)
4511e62499 / 3958Youcef LemsaferJanuary 2, 2014 07:12:20 UTC 2014 年 1 月 2 日 (木) 16 時 12 分 20 秒 (日本時間)

5×10228+9

c200

name 名前Dmitry Domanov
date 日付September 26, 2013 05:00:44 UTC 2013 年 9 月 26 日 (木) 14 時 0 分 44 秒 (日本時間)
composite number 合成数
44685191688433679566496917147386510803481636738893840497500675970895002284951666317648562915855004898600513250274816672763084720273348300525791674142013846309881184150937120868552405927944600905077327<200>
prime factors 素因数
48676633297005541529517792072297028635209<41>
composite cofactor 合成数の残り
918000869447612249837425612733857768973851786094055475591772983566600815867860032572590793366390854567356187671327366526941317582568125433381811372853452601303<159>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1875199711
Step 1 took 27533ms
Step 2 took 9947ms
********** Factor found in step 2: 48676633297005541529517792072297028635209
Found probable prime factor of 41 digits: 48676633297005541529517792072297028635209

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 30, 2013 12:10:10 UTC 2013 年 9 月 30 日 (月) 21 時 10 分 10 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovSeptember 30, 2013 12:10:10 UTC 2013 年 9 月 30 日 (月) 21 時 10 分 10 秒 (日本時間)

5×10229+9

c194

composite cofactor 合成数の残り
12643530849811651471445833021280493463426724370081912430027885567314848372114700568409999954310243142945185091082176379325398979593265665274732252428235594208023091781546854715769642850778582803<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e623401500Dmitry DomanovSeptember 30, 2013 12:09:56 UTC 2013 年 9 月 30 日 (月) 21 時 9 分 56 秒 (日本時間)
840Youcef LemsaferJanuary 2, 2014 07:13:11 UTC 2014 年 1 月 2 日 (木) 16 時 13 分 11 秒 (日本時間)
4511e62499 / 3958Youcef LemsaferJanuary 3, 2014 16:30:21 UTC 2014 年 1 月 4 日 (土) 1 時 30 分 21 秒 (日本時間)

5×10230+9

c197

composite cofactor 合成数の残り
15966245638792315418449762238580744313395700722432013260321673974834515216956233402951981374753174275086982928112687127530518122983584155726089060251970763585298054665122705563832541187813524808989<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 30, 2013 12:10:22 UTC 2013 年 9 月 30 日 (月) 21 時 10 分 22 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovOctober 2, 2013 13:38:13 UTC 2013 年 10 月 2 日 (水) 22 時 38 分 13 秒 (日本時間)

5×10231+9

c231

name 名前Dmitry Domanov
date 日付September 27, 2013 05:08:37 UTC 2013 年 9 月 27 日 (金) 14 時 8 分 37 秒 (日本時間)
composite number 合成数
294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941177<231>
prime factors 素因数
10836814391645220835432511876314630171<38>
27140600219708224461354507470930724794074214941199294626435415054122545641807444358816269857939242459402177135741955316769260938506960641138202694081159763176968269060241147146042825307743515387<194>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1404452063
Step 1 took 30459ms
Step 2 took 11856ms
********** Factor found in step 2: 10836814391645220835432511876314630171
Found probable prime factor of 38 digits: 10836814391645220835432511876314630171

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 25, 2013 15:19:15 UTC 2013 年 9 月 26 日 (木) 0 時 19 分 15 秒 (日本時間)
403e6110 / 2126Ignacio SantosSeptember 25, 2013 15:19:15 UTC 2013 年 9 月 26 日 (木) 0 時 19 分 15 秒 (日本時間)
4511e632 / 4437Ignacio SantosSeptember 25, 2013 15:19:15 UTC 2013 年 9 月 26 日 (木) 0 時 19 分 15 秒 (日本時間)

5×10232+9

c218

composite cofactor 合成数の残り
31592230812888858503292085356717497637628707419700014869457581896352686472865913728015273480122964005340090170644962158702038431771526555857600644526769512372912363231641604465493623450996203468685309959149688165003169<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 30, 2013 12:10:31 UTC 2013 年 9 月 30 日 (月) 21 時 10 分 31 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 29, 2013 15:43:41 UTC 2013 年 11 月 30 日 (土) 0 時 43 分 41 秒 (日本時間)

5×10234+9

c223

composite cofactor 合成数の残り
8384483153875399665485818690112818774666727730640597710288853395203620248208217652140016231507220572946472260143667390028841305802858980565779330337255210533885383562484133778521508273561354218307983508105316983796719378407<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 30, 2013 12:10:38 UTC 2013 年 9 月 30 日 (月) 21 時 10 分 38 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 29, 2013 15:43:53 UTC 2013 年 11 月 30 日 (土) 0 時 43 分 53 秒 (日本時間)

5×10235+9

c208

name 名前Dmitry Domanov
date 日付September 24, 2013 11:39:40 UTC 2013 年 9 月 24 日 (火) 20 時 39 分 40 秒 (日本時間)
composite number 合成数
1004845756862290418534312947654477779852958571098587368959109437146505266100990564093967694772436598791408638396650728631339140287886990594080132781156137279026710326501695407497587440572621710263297536069627<208>
prime factors 素因数
3461858547198214226322930549401<31>
290261933918571622641069649879196231784514338173941486645496153523602094843269118919612936035954145787877181635017899390205738696002153668338700761458437543535129115081150715827<177>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1643937751
Step 1 took 26766ms
Step 2 took 10272ms
********** Factor found in step 2: 3461858547198214226322930549401
Found probable prime factor of 31 digits: 3461858547198214226322930549401

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)

5×10236+9

c229

composite cofactor 合成数の残り
1013191450757814417892260702452238818651676874709002549917161568305186168974570554193575199410920763891479422419027861891524809343256008946188711053683059436309031570962523914535120740576323034160505603121978428793317209661261141<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 30, 2013 12:10:49 UTC 2013 年 9 月 30 日 (月) 21 時 10 分 49 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 29, 2013 15:44:05 UTC 2013 年 11 月 30 日 (土) 0 時 44 分 5 秒 (日本時間)

5×10237+9

c201

name 名前Dmitry Domanov
date 日付September 26, 2013 10:08:48 UTC 2013 年 9 月 26 日 (木) 19 時 8 分 48 秒 (日本時間)
composite number 合成数
527863915152118342403033973581618644263484642047842709316130387841462123870270721922760378223807174317648488799264270403398372233711300375666985565012595537301332320077376157519344000090405639525232281<201>
prime factors 素因数
16471659183685057753020716902344251<35>
composite cofactor 合成数の残り
32046796820259611838390201146914264810731324105193365848941723640646467080266742053688228008287865040869616845585099455446210245651235185930651233429969912746194185531<167>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=701972193
Step 1 took 26686ms
Step 2 took 9999ms
********** Factor found in step 2: 16471659183685057753020716902344251
Found probable prime factor of 35 digits: 16471659183685057753020716902344251

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 30, 2013 12:11:10 UTC 2013 年 9 月 30 日 (月) 21 時 11 分 10 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovSeptember 30, 2013 12:11:10 UTC 2013 年 9 月 30 日 (月) 21 時 11 分 10 秒 (日本時間)

5×10238+9

c239

name 名前Dmitry Domanov
date 日付March 29, 2017 11:59:33 UTC 2017 年 3 月 29 日 (水) 20 時 59 分 33 秒 (日本時間)
composite number 合成数
50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009<239>
prime factors 素因数
2663984116560283462723906287447909666071595033259154603<55>
202257618857795192716689629824310560603735718078120890663551311812708712347<75>
92796903175073991321555147968618241117717774771484946314878796558802615590903089266791593290401437884164453249<110>
factorization results 素因数分解の結果
Sieving by NFS@home, postprocessing by Dmitry Domanov.

Fri Mar 24 18:52:31 2017  Msieve v. 1.52 (SVN exported)
Fri Mar 24 18:52:31 2017  random seeds: dcb6d389 6541d189
Fri Mar 24 18:52:31 2017  factoring 50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009 (239 digits)
Fri Mar 24 18:52:34 2017  searching for 15-digit factors
Fri Mar 24 18:52:38 2017  commencing number field sieve (239-digit input)
Fri Mar 24 18:52:38 2017  R0: -5000000000000000000000000000000000000000
Fri Mar 24 18:52:38 2017  R1: 1
Fri Mar 24 18:52:38 2017  A0: 45
Fri Mar 24 18:52:38 2017  A1: 0
Fri Mar 24 18:52:38 2017  A2: 0
Fri Mar 24 18:52:38 2017  A3: 0
Fri Mar 24 18:52:38 2017  A4: 0
Fri Mar 24 18:52:38 2017  A5: 0
Fri Mar 24 18:52:38 2017  A6: 16
Fri Mar 24 18:52:38 2017  skew 1.00, size 6.797e-12, alpha 0.213, combined = 4.837e-13 rroots = 0
Fri Mar 24 18:52:38 2017  
Fri Mar 24 18:52:38 2017  commencing relation filtering
Fri Mar 24 18:52:38 2017  setting target matrix density to 100.0
Fri Mar 24 18:52:38 2017  estimated available RAM is 96649.3 MB
Fri Mar 24 18:52:38 2017  commencing duplicate removal, pass 1
Fri Mar 24 19:40:30 2017  skipped 25 relations with b > 2^32
Fri Mar 24 19:40:30 2017  found 20457450 hash collisions in 104965526 relations
Fri Mar 24 19:41:08 2017  added 1219187 free relations
Fri Mar 24 19:41:08 2017  commencing duplicate removal, pass 2
Fri Mar 24 20:06:44 2017  found 20358498 duplicates and 85826215 unique relations
Fri Mar 24 20:06:44 2017  memory use: 660.8 MB
Fri Mar 24 20:06:44 2017  reading ideals above 720000
Fri Mar 24 20:06:44 2017  commencing singleton removal, initial pass
Fri Mar 24 20:59:13 2017  memory use: 2756.0 MB
Fri Mar 24 20:59:13 2017  reading all ideals from disk
Fri Mar 24 20:59:22 2017  memory use: 3319.0 MB
Fri Mar 24 20:59:41 2017  keeping 88543312 ideals with weight <= 200, target excess is 434527
Fri Mar 24 21:00:04 2017  commencing in-memory singleton removal
Fri Mar 24 21:00:21 2017  begin with 85826215 relations and 88543312 unique ideals
Fri Mar 24 21:03:56 2017  reduce to 46725445 relations and 44548068 ideals in 18 passes
Fri Mar 24 21:03:56 2017  max relations containing the same ideal: 139
Fri Mar 24 21:04:53 2017  removing 3509383 relations and 3109383 ideals in 400000 cliques
Fri Mar 24 21:04:55 2017  commencing in-memory singleton removal
Fri Mar 24 21:05:07 2017  begin with 43216062 relations and 44548068 unique ideals
Fri Mar 24 21:06:42 2017  reduce to 42996419 relations and 41216311 ideals in 9 passes
Fri Mar 24 21:06:42 2017  max relations containing the same ideal: 133
Fri Mar 24 21:07:30 2017  removing 2616477 relations and 2216477 ideals in 400000 cliques
Fri Mar 24 21:07:32 2017  commencing in-memory singleton removal
Fri Mar 24 21:07:42 2017  begin with 40379942 relations and 41216311 unique ideals
Fri Mar 24 21:09:03 2017  reduce to 40246348 relations and 38864861 ideals in 8 passes
Fri Mar 24 21:09:03 2017  max relations containing the same ideal: 128
Fri Mar 24 21:09:55 2017  removing 2334858 relations and 1934858 ideals in 400000 cliques
Fri Mar 24 21:09:57 2017  commencing in-memory singleton removal
Fri Mar 24 21:10:05 2017  begin with 37911490 relations and 38864861 unique ideals
Fri Mar 24 21:11:12 2017  reduce to 37797767 relations and 36815110 ideals in 7 passes
Fri Mar 24 21:11:12 2017  max relations containing the same ideal: 123
Fri Mar 24 21:11:53 2017  removing 2182576 relations and 1782576 ideals in 400000 cliques
Fri Mar 24 21:11:55 2017  commencing in-memory singleton removal
Fri Mar 24 21:12:03 2017  begin with 35615191 relations and 36815110 unique ideals
Fri Mar 24 21:13:10 2017  reduce to 35509835 relations and 34926088 ideals in 8 passes
Fri Mar 24 21:13:10 2017  max relations containing the same ideal: 114
Fri Mar 24 21:13:45 2017  removing 549090 relations and 469395 ideals in 79695 cliques
Fri Mar 24 21:13:46 2017  commencing in-memory singleton removal
Fri Mar 24 21:13:53 2017  begin with 34960745 relations and 34926088 unique ideals
Fri Mar 24 21:14:25 2017  reduce to 34954510 relations and 34450441 ideals in 5 passes
Fri Mar 24 21:14:25 2017  max relations containing the same ideal: 114
Fri Mar 24 21:14:45 2017  relations with 0 large ideals: 16599
Fri Mar 24 21:14:45 2017  relations with 1 large ideals: 3819
Fri Mar 24 21:14:45 2017  relations with 2 large ideals: 51924
Fri Mar 24 21:14:45 2017  relations with 3 large ideals: 413401
Fri Mar 24 21:14:45 2017  relations with 4 large ideals: 1839367
Fri Mar 24 21:14:45 2017  relations with 5 large ideals: 4974397
Fri Mar 24 21:14:45 2017  relations with 6 large ideals: 8464539
Fri Mar 24 21:14:45 2017  relations with 7+ large ideals: 19190464
Fri Mar 24 21:14:45 2017  commencing 2-way merge
Fri Mar 24 21:15:39 2017  reduce to 22599204 relation sets and 22095135 unique ideals
Fri Mar 24 21:15:39 2017  commencing full merge
Fri Mar 24 21:37:16 2017  memory use: 2879.4 MB
Fri Mar 24 21:37:19 2017  found 10629441 cycles, need 10603335
Fri Mar 24 21:37:25 2017  weight of 10603335 cycles is about 1060499487 (100.02/cycle)
Fri Mar 24 21:37:25 2017  distribution of cycle lengths:
Fri Mar 24 21:37:25 2017  1 relations: 883329
Fri Mar 24 21:37:25 2017  2 relations: 1002354
Fri Mar 24 21:37:25 2017  3 relations: 1013137
Fri Mar 24 21:37:25 2017  4 relations: 942464
Fri Mar 24 21:37:25 2017  5 relations: 869405
Fri Mar 24 21:37:25 2017  6 relations: 778296
Fri Mar 24 21:37:25 2017  7 relations: 703734
Fri Mar 24 21:37:25 2017  8 relations: 623688
Fri Mar 24 21:37:25 2017  9 relations: 551708
Fri Mar 24 21:37:25 2017  10+ relations: 3235220
Fri Mar 24 21:37:25 2017  heaviest cycle: 28 relations
Fri Mar 24 21:37:29 2017  commencing cycle optimization
Fri Mar 24 21:38:04 2017  start with 80321813 relations
Fri Mar 24 21:43:42 2017  pruned 2891735 relations
Fri Mar 24 21:43:42 2017  memory use: 2272.1 MB
Fri Mar 24 21:43:42 2017  distribution of cycle lengths:
Fri Mar 24 21:43:42 2017  1 relations: 883329
Fri Mar 24 21:43:42 2017  2 relations: 1026156
Fri Mar 24 21:43:42 2017  3 relations: 1055249
Fri Mar 24 21:43:42 2017  4 relations: 975263
Fri Mar 24 21:43:42 2017  5 relations: 901370
Fri Mar 24 21:43:42 2017  6 relations: 800500
Fri Mar 24 21:43:42 2017  7 relations: 721111
Fri Mar 24 21:43:42 2017  8 relations: 634303
Fri Mar 24 21:43:42 2017  9 relations: 558796
Fri Mar 24 21:43:42 2017  10+ relations: 3047258
Fri Mar 24 21:43:42 2017  heaviest cycle: 28 relations
Fri Mar 24 21:44:19 2017  RelProcTime: 10301
Fri Mar 24 21:44:19 2017  elapsed time 02:51:48
Fri Mar 24 23:02:36 2017  
Fri Mar 24 23:02:36 2017  
Fri Mar 24 23:02:36 2017  Msieve v. 1.52 (SVN exported)
Fri Mar 24 23:02:36 2017  random seeds: ea199973 b8326be5
Fri Mar 24 23:02:36 2017  factoring 50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009 (239 digits)
Fri Mar 24 23:02:39 2017  searching for 15-digit factors
Fri Mar 24 23:02:42 2017  commencing number field sieve (239-digit input)
Fri Mar 24 23:02:42 2017  R0: -5000000000000000000000000000000000000000
Fri Mar 24 23:02:42 2017  R1: 1
Fri Mar 24 23:02:42 2017  A0: 45
Fri Mar 24 23:02:42 2017  A1: 0
Fri Mar 24 23:02:42 2017  A2: 0
Fri Mar 24 23:02:42 2017  A3: 0
Fri Mar 24 23:02:42 2017  A4: 0
Fri Mar 24 23:02:42 2017  A5: 0
Fri Mar 24 23:02:42 2017  A6: 16
Fri Mar 24 23:02:42 2017  skew 1.00, size 6.797e-12, alpha 0.213, combined = 4.837e-13 rroots = 0
Fri Mar 24 23:02:42 2017  
Fri Mar 24 23:02:42 2017  commencing linear algebra
Fri Mar 24 23:02:44 2017  read 10603335 cycles
Fri Mar 24 23:03:20 2017  cycles contain 34626677 unique relations
Fri Mar 24 23:26:07 2017  read 34626677 relations
Fri Mar 24 23:27:52 2017  using 20 quadratic characters above 1073741790
Fri Mar 24 23:32:07 2017  building initial matrix
Fri Mar 24 23:43:10 2017  memory use: 4484.5 MB
Fri Mar 24 23:43:19 2017  read 10603335 cycles
Fri Mar 24 23:43:22 2017  matrix is 10603158 x 10603335 (4274.0 MB) with weight 1232948452 (116.28/col)
Fri Mar 24 23:43:22 2017  sparse part has weight 1003776630 (94.67/col)
Fri Mar 24 23:47:10 2017  filtering completed in 2 passes
Fri Mar 24 23:47:14 2017  matrix is 10602350 x 10602526 (4274.0 MB) with weight 1232923411 (116.29/col)
Fri Mar 24 23:47:14 2017  sparse part has weight 1003769628 (94.67/col)
Fri Mar 24 23:48:56 2017  matrix starts at (0, 0)
Fri Mar 24 23:48:59 2017  matrix is 10602350 x 10602526 (4274.0 MB) with weight 1232923411 (116.29/col)
Fri Mar 24 23:48:59 2017  sparse part has weight 1003769628 (94.67/col)
Fri Mar 24 23:48:59 2017  saving the first 48 matrix rows for later
Fri Mar 24 23:49:02 2017  matrix includes 64 packed rows
Fri Mar 24 23:49:05 2017  matrix is 10602302 x 10602526 (4100.7 MB) with weight 1046034884 (98.66/col)
Fri Mar 24 23:49:05 2017  sparse part has weight 968955387 (91.39/col)
Fri Mar 24 23:49:05 2017  using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
Fri Mar 24 23:50:25 2017  commencing Lanczos iteration (12 threads)
Fri Mar 24 23:50:25 2017  memory use: 3457.5 MB
Fri Mar 24 23:51:12 2017  linear algebra at 0.0%, ETA 87h31m
Fri Mar 24 23:51:26 2017  checkpointing every 130000 dimensions
Tue Mar 28 22:30:25 2017  lanczos halted after 167675 iterations (dim = 10602300)
Tue Mar 28 22:30:46 2017  recovered 39 nontrivial dependencies
Tue Mar 28 22:30:47 2017  BLanczosTime: 343685
Tue Mar 28 22:30:47 2017  
Tue Mar 28 22:30:47 2017  commencing square root phase
Tue Mar 28 22:30:47 2017  reading relations for dependency 1
Tue Mar 28 22:30:52 2017  read 5302615 cycles
Tue Mar 28 22:31:07 2017  cycles contain 17312698 unique relations
Tue Mar 28 22:51:00 2017  read 17312698 relations
Tue Mar 28 22:53:14 2017  multiplying 17312698 relations
Tue Mar 28 23:14:44 2017  multiply complete, coefficients have about 500.74 million bits
Tue Mar 28 23:14:48 2017  initial square root is modulo 965626171
Tue Mar 28 23:40:56 2017  GCD is 1, no factor found
Tue Mar 28 23:40:56 2017  reading relations for dependency 2
Tue Mar 28 23:40:58 2017  read 5301027 cycles
Tue Mar 28 23:41:15 2017  cycles contain 17309868 unique relations
Wed Mar 29 00:10:50 2017  read 17309868 relations
Wed Mar 29 00:13:54 2017  multiplying 17309868 relations
Wed Mar 29 00:45:17 2017  multiply complete, coefficients have about 500.65 million bits
Wed Mar 29 00:45:21 2017  initial square root is modulo 962077993
Wed Mar 29 01:17:40 2017  found factor: 202257618857795192716689629824310560603735718078120890663551311812708712347
Wed Mar 29 01:17:40 2017  reading relations for dependency 3
Wed Mar 29 01:17:42 2017  read 5300167 cycles
Wed Mar 29 01:18:00 2017  cycles contain 17310268 unique relations
Wed Mar 29 01:44:59 2017  read 17310268 relations
Wed Mar 29 01:47:36 2017  multiplying 17310268 relations
Wed Mar 29 02:14:58 2017  multiply complete, coefficients have about 500.67 million bits
Wed Mar 29 02:15:03 2017  initial square root is modulo 962825557
Wed Mar 29 02:44:36 2017  found factor: 202257618857795192716689629824310560603735718078120890663551311812708712347
Wed Mar 29 02:44:36 2017  reading relations for dependency 4
Wed Mar 29 02:44:39 2017  read 5300133 cycles
Wed Mar 29 02:44:59 2017  cycles contain 17305804 unique relations
Wed Mar 29 03:11:22 2017  read 17305804 relations
Wed Mar 29 03:14:19 2017  multiplying 17305804 relations
Wed Mar 29 03:40:37 2017  multiply complete, coefficients have about 500.54 million bits
Wed Mar 29 03:40:40 2017  initial square root is modulo 957666439
Wed Mar 29 04:09:20 2017  GCD is 1, no factor found
Wed Mar 29 04:09:20 2017  reading relations for dependency 5
Wed Mar 29 04:09:23 2017  read 5299455 cycles
Wed Mar 29 04:09:37 2017  cycles contain 17308064 unique relations
Wed Mar 29 04:33:00 2017  read 17308064 relations
Wed Mar 29 04:35:26 2017  multiplying 17308064 relations
Wed Mar 29 05:00:32 2017  multiply complete, coefficients have about 500.60 million bits
Wed Mar 29 05:00:36 2017  initial square root is modulo 960144439
Wed Mar 29 05:28:34 2017  found factor: 202257618857795192716689629824310560603735718078120890663551311812708712347
Wed Mar 29 05:28:34 2017  reading relations for dependency 6
Wed Mar 29 05:28:36 2017  read 5303207 cycles
Wed Mar 29 05:28:56 2017  cycles contain 17319376 unique relations
Wed Mar 29 05:52:29 2017  read 17319376 relations
Wed Mar 29 05:55:10 2017  multiplying 17319376 relations
Wed Mar 29 06:22:05 2017  multiply complete, coefficients have about 500.93 million bits
Wed Mar 29 06:22:08 2017  initial square root is modulo 973155793
Wed Mar 29 06:51:23 2017  sqrtTime: 30036

Wed Mar 29 06:51:23 2017  prp55 factor: 2663984116560283462723906287447909666071595033259154603
Wed Mar 29 06:51:23 2017  prp75 factor: 202257618857795192716689629824310560603735718078120890663551311812708712347
Wed Mar 29 06:51:23 2017  prp110 factor: 92796903175073991321555147968618241117717774771484946314878796558802615590903089266791593290401437884164453249
Wed Mar 29 06:51:23 2017  elapsed time 103:48:47

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 25, 2013 19:19:06 UTC 2013 年 9 月 26 日 (木) 4 時 19 分 6 秒 (日本時間)
403e61610110Ignacio SantosSeptember 25, 2013 19:19:06 UTC 2013 年 9 月 26 日 (木) 4 時 19 分 6 秒 (日本時間)
1500Dmitry DomanovSeptember 27, 2013 12:12:50 UTC 2013 年 9 月 27 日 (金) 21 時 12 分 50 秒 (日本時間)
4511e6203232Ignacio SantosSeptember 25, 2013 19:19:06 UTC 2013 年 9 月 26 日 (木) 4 時 19 分 6 秒 (日本時間)
2000Dmitry DomanovSeptember 27, 2013 12:12:50 UTC 2013 年 9 月 27 日 (金) 21 時 12 分 50 秒 (日本時間)
5043e61300 / 7034800Dmitry DomanovOctober 11, 2013 11:27:42 UTC 2013 年 10 月 11 日 (金) 20 時 27 分 42 秒 (日本時間)
500Serge BatalovJanuary 11, 2015 01:24:46 UTC 2015 年 1 月 11 日 (日) 10 時 24 分 46 秒 (日本時間)

5×10239+9

c240

composite cofactor 合成数の残り
500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 25, 2013 19:19:45 UTC 2013 年 9 月 26 日 (木) 4 時 19 分 45 秒 (日本時間)
403e61610110Ignacio SantosSeptember 25, 2013 19:19:45 UTC 2013 年 9 月 26 日 (木) 4 時 19 分 45 秒 (日本時間)
1500Dmitry DomanovSeptember 27, 2013 12:13:09 UTC 2013 年 9 月 27 日 (金) 21 時 13 分 9 秒 (日本時間)
4511e6203232Ignacio SantosSeptember 25, 2013 19:19:45 UTC 2013 年 9 月 26 日 (木) 4 時 19 分 45 秒 (日本時間)
2000Dmitry DomanovSeptember 27, 2013 12:13:09 UTC 2013 年 9 月 27 日 (金) 21 時 13 分 9 秒 (日本時間)
5043e61300800Dmitry DomanovOctober 11, 2013 11:27:21 UTC 2013 年 10 月 11 日 (金) 20 時 27 分 21 秒 (日本時間)
500Serge BatalovJanuary 11, 2015 01:24:47 UTC 2015 年 1 月 11 日 (日) 10 時 24 分 47 秒 (日本時間)
5511e70 / 10191--
6026e73000 / 418311000Serge BatalovMay 14, 2017 02:43:23 UTC 2017 年 5 月 14 日 (日) 11 時 43 分 23 秒 (日本時間)
200Serge BatalovMay 14, 2017 02:48:14 UTC 2017 年 5 月 14 日 (日) 11 時 48 分 14 秒 (日本時間)
800Serge BatalovMay 14, 2017 07:02:51 UTC 2017 年 5 月 14 日 (日) 16 時 2 分 51 秒 (日本時間)
1000Serge BatalovMay 15, 2017 04:54:12 UTC 2017 年 5 月 15 日 (月) 13 時 54 分 12 秒 (日本時間)

5×10240+9

c209

composite cofactor 合成数の残り
15903106213566883619852416152846339431131175970218841397512915007186322369422468889989022354082448973641068671212734691671477466100362357565877558603234987817470569895308978583414823376381772572448760077356863<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 30, 2013 12:13:19 UTC 2013 年 9 月 30 日 (月) 21 時 13 分 19 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 29, 2013 15:43:16 UTC 2013 年 11 月 30 日 (土) 0 時 43 分 16 秒 (日本時間)

5×10242+9

c231

name 名前Dmitry Domanov
date 日付September 26, 2013 05:02:21 UTC 2013 年 9 月 26 日 (木) 14 時 2 分 21 秒 (日本時間)
composite number 合成数
535873550180993274466528213180483412496055504313314005736004415993150916438827221483549992648436665597047280815596427849520895457637654022986579542874898497846279467634492470781463919918929071603561169947346439807113416210883774587<231>
prime factors 素因数
114204698887190450242132133239424858871143<42>
4692219807087976986560531243344361323551484635285317735784611606943840207658183185650153064765429624021169979421818484626560701130679378334163537538276145092357334526146358124965350347740109<190>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=156663253
Step 1 took 30454ms
Step 2 took 11827ms
********** Factor found in step 2: 114204698887190450242132133239424858871143
Found probable prime factor of 42 digits: 114204698887190450242132133239424858871143

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)

5×10243+9

c212

composite cofactor 合成数の残り
29573194724261944721522264046503229297135499791490014183417262010671814332584933360571289415052163173537123669036502911465638298511273698999506370497249978569470201976797834009679543029871842202837797811383550179<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 30, 2013 12:13:39 UTC 2013 年 9 月 30 日 (月) 21 時 13 分 39 秒 (日本時間)
4511e61600 / 4143Dmitry DomanovNovember 1, 2013 05:36:34 UTC 2013 年 11 月 1 日 (金) 14 時 36 分 34 秒 (日本時間)

5×10244+9

c210

composite cofactor 合成数の残り
402124043307100124551281325014974417740509221977241485441965571447939705600056832921839680802569255721748880398101296555593675053562384783074594304908904551307607319720208934861518387849115595024156276075259889<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 30, 2013 12:13:48 UTC 2013 年 9 月 30 日 (月) 21 時 13 分 48 秒 (日本時間)
4511e61600 / 4143Dmitry DomanovNovember 1, 2013 05:35:55 UTC 2013 年 11 月 1 日 (金) 14 時 35 分 55 秒 (日本時間)

5×10245+9

c246

composite cofactor 合成数の残り
500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 27, 2013 12:12:19 UTC 2013 年 9 月 27 日 (金) 21 時 12 分 19 秒 (日本時間)
4511e62000Dmitry DomanovSeptember 27, 2013 12:12:19 UTC 2013 年 9 月 27 日 (金) 21 時 12 分 19 秒 (日本時間)
5043e65950800Dmitry DomanovOctober 11, 2013 11:26:53 UTC 2013 年 10 月 11 日 (金) 20 時 26 分 53 秒 (日本時間)
500Serge BatalovJanuary 11, 2015 01:24:54 UTC 2015 年 1 月 11 日 (日) 10 時 24 分 54 秒 (日本時間)
1650Dmitry DomanovApril 25, 2017 14:44:51 UTC 2017 年 4 月 25 日 (火) 23 時 44 分 51 秒 (日本時間)
3000Dmitry DomanovApril 28, 2017 21:54:15 UTC 2017 年 4 月 29 日 (土) 6 時 54 分 15 秒 (日本時間)
5511e7460 / 11324Dmitry DomanovMay 5, 2017 20:23:37 UTC 2017 年 5 月 6 日 (土) 5 時 23 分 37 秒 (日本時間)
6026e71800 / 41113Serge BatalovMay 14, 2017 08:35:55 UTC 2017 年 5 月 14 日 (日) 17 時 35 分 55 秒 (日本時間)

5×10246+9

c235

name 名前Dmitry Domanov
date 日付September 24, 2013 11:24:50 UTC 2013 年 9 月 24 日 (火) 20 時 24 分 50 秒 (日本時間)
composite number 合成数
2493397870087328916570903243032491704606171926009173958042374462292785170297217002899500953758411257333898808028920154283658797906435240597431639082108788204746080177460795962033752442937576724118119729238990398346396477841762225446869<235>
prime factors 素因数
1023528883938418221716010582442023355423<40>
2436079635088585377470471419324967601518163472626414577210621383772052802910952544694285476997346527179091590062224686906465389384083214697652027614819766950278190679129382189296982077651020152203<196>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3733100399
Step 1 took 34970ms
Step 2 took 12238ms
********** Factor found in step 2: 1023528883938418221716010582442023355423
Found probable prime factor of 40 digits: 1023528883938418221716010582442023355423

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)

5×10249+9

c250

name 名前Youcef Lemsafer
date 日付November 17, 2015 07:49:58 UTC 2015 年 11 月 17 日 (火) 16 時 49 分 58 秒 (日本時間)
composite number 合成数
5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009<250>
prime factors 素因数
135829727011459164560211559546453460624103398911541319763<57>
464728731865608913260038214522626984403208827108850140785926329054103982893555379011<84>
79209204723174522376608656845550577077880783270025527539186192941746268459342094908968542335913305270808335313<110>
factorization results 素因数分解の結果
<Parameters were as follows:>
#
# 50009_249, SNFS_diff=249.69897, C250
# 5000*X^6+9, X-10^41
#
n: 5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009
Y1: 1
Y0: -100000000000000000000000000000000000000000
deg: 6
c6: 5000
c0: 9
skew: 0.348775
type: snfs
rlim: 120000000
alim: 120000000
lpbr: 31
lpba: 31
mfbr: 96
mfba: 62
rlambda: 3.6
alambda: 2.6


<Sieving from 16M to 244M on various hosts using gnfs-lasieve4I14e took ~30000 thread.hours.>
<Post-processing on dual Xeon E5-2620@2.0GHz:>

Sat Nov 07 12:52:57 2015  
Sat Nov 07 12:52:57 2015  Msieve v. 1.53 (SVN 983M)
Sat Nov 07 12:52:57 2015  random seeds: b0605780 58ba5b97
Sat Nov 07 12:52:57 2015  factoring 5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009 (250 digits)
Sat Nov 07 12:52:59 2015  no P-1/P+1/ECM available, skipping
Sat Nov 07 12:52:59 2015  commencing number field sieve (250-digit input)
Sat Nov 07 12:52:59 2015  R0: -100000000000000000000000000000000000000000
Sat Nov 07 12:52:59 2015  R1: 1
Sat Nov 07 12:52:59 2015  A0: 9
Sat Nov 07 12:52:59 2015  A1: 0
Sat Nov 07 12:52:59 2015  A2: 0
Sat Nov 07 12:52:59 2015  A3: 0
Sat Nov 07 12:52:59 2015  A4: 0
Sat Nov 07 12:52:59 2015  A5: 0
Sat Nov 07 12:52:59 2015  A6: 5000
Sat Nov 07 12:52:59 2015  skew 0.35, size 1.201e-012, alpha 0.602, combined = 1.392e-013 rroots = 0
Sat Nov 07 12:52:59 2015  
Sat Nov 07 12:52:59 2015  commencing relation filtering
Sat Nov 07 12:52:59 2015  setting target matrix density to 90.0
Sat Nov 07 12:52:59 2015  estimated available RAM is 32739.1 MB
Sat Nov 07 12:52:59 2015  commencing duplicate removal, pass 1
Sat Nov 07 13:13:45 2015  error -15 reading relation 67389976
Sat Nov 07 13:13:46 2015  error -1 reading relation 67413341
Sat Nov 07 13:13:46 2015  error -1 reading relation 67448612
Sat Nov 07 13:13:47 2015  error -1 reading relation 67494673
Sat Nov 07 13:13:48 2015  error -9 reading relation 67506641
Sat Nov 07 13:46:06 2015  error -5 reading relation 171302498
Sat Nov 07 13:46:06 2015  error -9 reading relation 171309468
Sat Nov 07 13:57:06 2015  error -15 reading relation 206456469
Sat Nov 07 13:57:07 2015  error -9 reading relation 206463939
Sat Nov 07 13:57:07 2015  error -9 reading relation 206471043
Sat Nov 07 13:57:07 2015  error -9 reading relation 206485891
Sat Nov 07 13:57:07 2015  error -9 reading relation 206492569
Sat Nov 07 13:57:07 2015  error -1 reading relation 206499425
Sat Nov 07 13:57:07 2015  error -9 reading relation 206507232
Sat Nov 07 13:57:08 2015  error -9 reading relation 206528639
Sat Nov 07 13:57:08 2015  error -15 reading relation 206535986
Sat Nov 07 14:04:22 2015  skipped 441 relations with b > 2^32
Sat Nov 07 14:04:22 2015  skipped 14 relations with composite factors
Sat Nov 07 14:04:22 2015  found 58335599 hash collisions in 228739679 relations
Sat Nov 07 14:04:51 2015  commencing duplicate removal, pass 2
Sat Nov 07 14:11:59 2015  found 67868129 duplicates and 160871550 unique relations
Sat Nov 07 14:11:59 2015  memory use: 1449.5 MB
Sat Nov 07 14:11:59 2015  reading ideals above 169541632
Sat Nov 07 14:11:59 2015  commencing singleton removal, initial pass
Sat Nov 07 14:51:21 2015  memory use: 3012.0 MB
Sat Nov 07 14:51:22 2015  reading all ideals from disk
Sat Nov 07 14:51:24 2015  memory use: 2914.0 MB
Sat Nov 07 14:51:34 2015  commencing in-memory singleton removal
Sat Nov 07 14:51:44 2015  begin with 160871550 relations and 151774156 unique ideals
Sat Nov 07 14:53:21 2015  reduce to 80234894 relations and 60213966 ideals in 20 passes
Sat Nov 07 14:53:21 2015  max relations containing the same ideal: 27
Sat Nov 07 14:53:30 2015  reading ideals above 720000
Sat Nov 07 14:53:30 2015  commencing singleton removal, initial pass
Sat Nov 07 15:19:26 2015  memory use: 1506.0 MB
Sat Nov 07 15:19:26 2015  reading all ideals from disk
Sat Nov 07 15:19:29 2015  memory use: 3208.4 MB
Sat Nov 07 15:19:45 2015  keeping 78748338 ideals with weight <= 200, target excess is 410902
Sat Nov 07 15:19:59 2015  commencing in-memory singleton removal
Sat Nov 07 15:20:12 2015  begin with 80234894 relations and 78748338 unique ideals
Sat Nov 07 15:22:53 2015  reduce to 80099388 relations and 78612616 ideals in 15 passes
Sat Nov 07 15:22:53 2015  max relations containing the same ideal: 200
Sat Nov 07 15:23:48 2015  removing 4846187 relations and 4446187 ideals in 400000 cliques
Sat Nov 07 15:23:51 2015  commencing in-memory singleton removal
Sat Nov 07 15:24:03 2015  begin with 75253201 relations and 78612616 unique ideals
Sat Nov 07 15:25:56 2015  reduce to 74990431 relations and 73901451 ideals in 11 passes
Sat Nov 07 15:25:56 2015  max relations containing the same ideal: 197
Sat Nov 07 15:26:48 2015  removing 3509051 relations and 3109051 ideals in 400000 cliques
Sat Nov 07 15:26:50 2015  commencing in-memory singleton removal
Sat Nov 07 15:27:01 2015  begin with 71481380 relations and 73901451 unique ideals
Sat Nov 07 15:28:28 2015  reduce to 71332894 relations and 70642866 ideals in 9 passes
Sat Nov 07 15:28:28 2015  max relations containing the same ideal: 192
Sat Nov 07 15:29:18 2015  removing 1807661 relations and 1594280 ideals in 213381 cliques
Sat Nov 07 15:29:20 2015  commencing in-memory singleton removal
Sat Nov 07 15:29:30 2015  begin with 69525233 relations and 70642866 unique ideals
Sat Nov 07 15:30:54 2015  reduce to 69485764 relations and 69008978 ideals in 9 passes
Sat Nov 07 15:30:54 2015  max relations containing the same ideal: 191
Sat Nov 07 15:31:59 2015  relations with 0 large ideals: 15394
Sat Nov 07 15:31:59 2015  relations with 1 large ideals: 2879
Sat Nov 07 15:31:59 2015  relations with 2 large ideals: 29640
Sat Nov 07 15:31:59 2015  relations with 3 large ideals: 299587
Sat Nov 07 15:31:59 2015  relations with 4 large ideals: 1708921
Sat Nov 07 15:31:59 2015  relations with 5 large ideals: 5958247
Sat Nov 07 15:31:59 2015  relations with 6 large ideals: 13154580
Sat Nov 07 15:31:59 2015  relations with 7+ large ideals: 48316516
Sat Nov 07 15:31:59 2015  commencing 2-way merge
Sat Nov 07 15:33:16 2015  reduce to 43103550 relation sets and 42626764 unique ideals
Sat Nov 07 15:33:16 2015  commencing full merge
Sat Nov 07 16:29:10 2015  memory use: 1967.9 MB
Sat Nov 07 16:29:31 2015  found 269601 cycles, need 8853668
Sat Nov 07 16:29:31 2015  too few cycles, matrix probably cannot build
Sat Nov 07 16:29:37 2015  
Sat Nov 07 16:29:37 2015  
Sat Nov 07 16:29:37 2015  Msieve v. 1.53 (SVN 983M)
Sat Nov 07 16:29:37 2015  random seeds: 5b4abaa8 cfa50963
Sat Nov 07 16:29:37 2015  factoring 5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009 (250 digits)
Sat Nov 07 16:29:39 2015  no P-1/P+1/ECM available, skipping
Sat Nov 07 16:29:39 2015  commencing number field sieve (250-digit input)
Sat Nov 07 16:29:39 2015  R0: -100000000000000000000000000000000000000000
Sat Nov 07 16:29:39 2015  R1: 1
Sat Nov 07 16:29:39 2015  A0: 9
Sat Nov 07 16:29:39 2015  A1: 0
Sat Nov 07 16:29:39 2015  A2: 0
Sat Nov 07 16:29:39 2015  A3: 0
Sat Nov 07 16:29:39 2015  A4: 0
Sat Nov 07 16:29:39 2015  A5: 0
Sat Nov 07 16:29:39 2015  A6: 5000
Sat Nov 07 16:29:39 2015  skew 0.35, size 1.201e-012, alpha 0.602, combined = 1.392e-013 rroots = 0
Sat Nov 07 16:29:39 2015  
Sat Nov 07 16:29:39 2015  commencing relation filtering
Sat Nov 07 16:29:39 2015  setting target matrix density to 85.0
Sat Nov 07 16:29:39 2015  estimated available RAM is 32739.1 MB
Sat Nov 07 16:29:39 2015  commencing duplicate removal, pass 1
Sat Nov 07 16:50:11 2015  error -15 reading relation 67389976
Sat Nov 07 16:50:11 2015  error -1 reading relation 67413341
Sat Nov 07 16:50:12 2015  error -1 reading relation 67448612
Sat Nov 07 16:50:13 2015  error -1 reading relation 67494673
Sat Nov 07 16:50:13 2015  error -9 reading relation 67506641
Sat Nov 07 17:22:07 2015  error -5 reading relation 171302498
Sat Nov 07 17:22:07 2015  error -9 reading relation 171309468
Sat Nov 07 17:32:59 2015  error -15 reading relation 206456469
Sat Nov 07 17:32:59 2015  error -9 reading relation 206463939
Sat Nov 07 17:32:59 2015  error -9 reading relation 206471043
Sat Nov 07 17:33:00 2015  error -9 reading relation 206485891
Sat Nov 07 17:33:00 2015  error -9 reading relation 206492569
Sat Nov 07 17:33:00 2015  error -1 reading relation 206499425
Sat Nov 07 17:33:00 2015  error -9 reading relation 206507232
Sat Nov 07 17:33:00 2015  error -9 reading relation 206528639
Sat Nov 07 17:33:01 2015  error -15 reading relation 206535986
Sat Nov 07 17:40:08 2015  skipped 441 relations with b > 2^32
Sat Nov 07 17:40:08 2015  skipped 14 relations with composite factors
Sat Nov 07 17:40:08 2015  found 58335599 hash collisions in 228739679 relations
Sat Nov 07 17:40:37 2015  commencing duplicate removal, pass 2
Sat Nov 07 17:47:20 2015  found 67868129 duplicates and 160871550 unique relations
Sat Nov 07 17:47:20 2015  memory use: 1449.5 MB
Sat Nov 07 17:47:20 2015  reading ideals above 169541632
Sat Nov 07 17:47:20 2015  commencing singleton removal, initial pass
Sat Nov 07 18:24:28 2015  memory use: 3012.0 MB
Sat Nov 07 18:24:28 2015  reading all ideals from disk
Sat Nov 07 18:24:30 2015  memory use: 2914.0 MB
Sat Nov 07 18:24:38 2015  commencing in-memory singleton removal
Sat Nov 07 18:24:46 2015  begin with 160871550 relations and 151774156 unique ideals
Sat Nov 07 18:26:22 2015  reduce to 80234894 relations and 60213966 ideals in 20 passes
Sat Nov 07 18:26:22 2015  max relations containing the same ideal: 27
Sat Nov 07 18:26:30 2015  reading ideals above 720000
Sat Nov 07 18:26:30 2015  commencing singleton removal, initial pass
Sat Nov 07 18:51:08 2015  memory use: 1506.0 MB
Sat Nov 07 18:51:08 2015  reading all ideals from disk
Sat Nov 07 18:51:10 2015  memory use: 3208.4 MB
Sat Nov 07 18:51:22 2015  keeping 78748338 ideals with weight <= 200, target excess is 410902
Sat Nov 07 18:51:35 2015  commencing in-memory singleton removal
Sat Nov 07 18:51:46 2015  begin with 80234894 relations and 78748338 unique ideals
Sat Nov 07 18:54:18 2015  reduce to 80099388 relations and 78612616 ideals in 15 passes
Sat Nov 07 18:54:18 2015  max relations containing the same ideal: 200
Sat Nov 07 18:55:11 2015  removing 4846187 relations and 4446187 ideals in 400000 cliques
Sat Nov 07 18:55:13 2015  commencing in-memory singleton removal
Sat Nov 07 18:55:23 2015  begin with 75253201 relations and 78612616 unique ideals
Sat Nov 07 18:57:08 2015  reduce to 74990431 relations and 73901451 ideals in 11 passes
Sat Nov 07 18:57:08 2015  max relations containing the same ideal: 197
Sat Nov 07 18:57:58 2015  removing 3509051 relations and 3109051 ideals in 400000 cliques
Sat Nov 07 18:57:59 2015  commencing in-memory singleton removal
Sat Nov 07 18:58:09 2015  begin with 71481380 relations and 73901451 unique ideals
Sat Nov 07 18:59:31 2015  reduce to 71332894 relations and 70642866 ideals in 9 passes
Sat Nov 07 18:59:31 2015  max relations containing the same ideal: 192
Sat Nov 07 19:00:18 2015  removing 1807661 relations and 1594280 ideals in 213381 cliques
Sat Nov 07 19:00:19 2015  commencing in-memory singleton removal
Sat Nov 07 19:00:28 2015  begin with 69525233 relations and 70642866 unique ideals
Sat Nov 07 19:01:49 2015  reduce to 69485764 relations and 69008978 ideals in 9 passes
Sat Nov 07 19:01:49 2015  max relations containing the same ideal: 191
Sat Nov 07 19:02:50 2015  relations with 0 large ideals: 15394
Sat Nov 07 19:02:50 2015  relations with 1 large ideals: 2879
Sat Nov 07 19:02:50 2015  relations with 2 large ideals: 29640
Sat Nov 07 19:02:50 2015  relations with 3 large ideals: 299587
Sat Nov 07 19:02:50 2015  relations with 4 large ideals: 1708921
Sat Nov 07 19:02:50 2015  relations with 5 large ideals: 5958247
Sat Nov 07 19:02:50 2015  relations with 6 large ideals: 13154580
Sat Nov 07 19:02:50 2015  relations with 7+ large ideals: 48316516
Sat Nov 07 19:02:50 2015  commencing 2-way merge
Sat Nov 07 19:04:11 2015  reduce to 43103550 relation sets and 42626764 unique ideals
Sat Nov 07 19:04:11 2015  commencing full merge
Sat Nov 07 19:26:19 2015  memory use: 5188.7 MB
Sat Nov 07 19:26:27 2015  found 21317247 cycles, need 21308964
Sat Nov 07 19:26:29 2015  weight of 21308964 cycles is about 1811414978 (85.01/cycle)
Sat Nov 07 19:26:29 2015  distribution of cycle lengths:
Sat Nov 07 19:26:29 2015  1 relations: 2619390
Sat Nov 07 19:26:29 2015  2 relations: 2600085
Sat Nov 07 19:26:29 2015  3 relations: 2455745
Sat Nov 07 19:26:29 2015  4 relations: 2119045
Sat Nov 07 19:26:29 2015  5 relations: 1841251
Sat Nov 07 19:26:29 2015  6 relations: 1548729
Sat Nov 07 19:26:29 2015  7 relations: 1304672
Sat Nov 07 19:26:29 2015  8 relations: 1118378
Sat Nov 07 19:26:29 2015  9 relations: 943750
Sat Nov 07 19:26:29 2015  10+ relations: 4757919
Sat Nov 07 19:26:29 2015  heaviest cycle: 28 relations
Sat Nov 07 19:26:35 2015  commencing cycle optimization
Sat Nov 07 19:27:12 2015  start with 136790057 relations
Sat Nov 07 19:34:07 2015  pruned 3584488 relations
Sat Nov 07 19:34:07 2015  memory use: 4257.4 MB
Sat Nov 07 19:34:07 2015  distribution of cycle lengths:
Sat Nov 07 19:34:07 2015  1 relations: 2619390
Sat Nov 07 19:34:07 2015  2 relations: 2656752
Sat Nov 07 19:34:07 2015  3 relations: 2544626
Sat Nov 07 19:34:07 2015  4 relations: 2167357
Sat Nov 07 19:34:07 2015  5 relations: 1882295
Sat Nov 07 19:34:07 2015  6 relations: 1565131
Sat Nov 07 19:34:07 2015  7 relations: 1313977
Sat Nov 07 19:34:07 2015  8 relations: 1114741
Sat Nov 07 19:34:07 2015  9 relations: 934082
Sat Nov 07 19:34:07 2015  10+ relations: 4510613
Sat Nov 07 19:34:07 2015  heaviest cycle: 28 relations
Sat Nov 07 19:35:37 2015  RelProcTime: 11158
Sat Nov 07 19:35:37 2015  elapsed time 03:06:00

Sat Nov  7 19:36:04 2015  
Sat Nov  7 19:36:04 2015  
Sat Nov  7 19:36:04 2015  Msieve v. 1.53 (SVN 975)
Sat Nov  7 19:36:04 2015  random seeds: 6185c5e0 1b057b6f
Sat Nov  7 19:36:04 2015  MPI process 0 of 2
Sat Nov  7 19:36:04 2015  factoring 5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009 (250 digits)
Sat Nov  7 19:36:06 2015  no P-1/P+1/ECM available, skipping
Sat Nov  7 19:36:06 2015  commencing number field sieve (250-digit input)
Sat Nov  7 19:36:06 2015  R0: -100000000000000000000000000000000000000000
Sat Nov  7 19:36:06 2015  R1: 1
Sat Nov  7 19:36:06 2015  A0: 9
Sat Nov  7 19:36:06 2015  A1: 0
Sat Nov  7 19:36:06 2015  A2: 0
Sat Nov  7 19:36:06 2015  A3: 0
Sat Nov  7 19:36:06 2015  A4: 0
Sat Nov  7 19:36:06 2015  A5: 0
Sat Nov  7 19:36:06 2015  A6: 5000
Sat Nov  7 19:36:06 2015  skew 0.35, size 1.201e-12, alpha 0.602, combined = 1.392e-13 rroots = 0
Sat Nov  7 19:36:06 2015  
Sat Nov  7 19:36:06 2015  commencing linear algebra
Sat Nov  7 19:36:06 2015  initialized process (0,0) of 1 x 2 grid
Sat Nov  7 19:36:17 2015  read 21308964 cycles
Sat Nov  7 19:37:08 2015  cycles contain 68975111 unique relations
Sat Nov  7 19:55:11 2015  read 68975111 relations
Sat Nov  7 19:58:15 2015  using 20 quadratic characters above 2147483498
Sat Nov  7 20:04:59 2015  building initial matrix
Sat Nov  7 20:21:04 2015  memory use: 8858.1 MB
Sat Nov  7 20:21:46 2015  read 21308964 cycles
Sat Nov  7 20:21:50 2015  matrix is 21308787 x 21308964 (7542.6 MB) with weight 2162990741 (101.51/col)
Sat Nov  7 20:21:50 2015  sparse part has weight 1742847236 (81.79/col)
Sat Nov  7 20:28:14 2015  filtering completed in 2 passes
Sat Nov  7 20:28:21 2015  matrix is 21306959 x 21307136 (7542.5 MB) with weight 2162936487 (101.51/col)
Sat Nov  7 20:28:21 2015  sparse part has weight 1742832766 (81.80/col)
Sat Nov  7 20:30:13 2015  matrix starts at (0, 0)
Sat Nov  7 20:30:15 2015  matrix is 21306959 x 10653579 (3771.2 MB) with weight 1081470979 (101.51/col)
Sat Nov  7 20:30:15 2015  sparse part has weight 871416506 (81.80/col)
Sat Nov  7 20:30:15 2015  saving the first 48 matrix rows for later
Sat Nov  7 20:30:18 2015  matrix includes 64 packed rows
Sat Nov  7 20:30:22 2015  matrix is 21306911 x 10653579 (3614.2 MB) with weight 897471771 (84.24/col)
Sat Nov  7 20:30:22 2015  sparse part has weight 840914875 (78.93/col)
Sat Nov  7 20:30:22 2015  using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
Sat Nov  7 20:31:49 2015  commencing Lanczos iteration (6 threads)
Sat Nov  7 20:31:49 2015  memory use: 3160.4 MB
Sat Nov  7 20:32:46 2015  linear algebra at 0.0%, ETA 214h25m
Sat Nov  7 20:33:04 2015  checkpointing every 100000 dimensions
Mon Nov 16 14:54:36 2015  lanczos halted after 336943 iterations (dim = 21306909)
Mon Nov 16 14:55:05 2015  recovered 39 nontrivial dependencies
Mon Nov 16 14:55:07 2015  BLanczosTime: 760741
Mon Nov 16 14:55:07 2015  elapsed time 211:19:03
Sat Nov  7 19:36:04 2015  
Sat Nov  7 19:36:04 2015  
Sat Nov  7 19:36:04 2015  Msieve v. 1.53 (SVN 975)
Sat Nov  7 19:36:04 2015  random seeds: 2fad1fef 19c86c84
Sat Nov  7 19:36:04 2015  MPI process 1 of 2
Sat Nov  7 19:36:04 2015  factoring 5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009 (250 digits)
Sat Nov  7 19:36:06 2015  no P-1/P+1/ECM available, skipping
Sat Nov  7 19:36:06 2015  commencing number field sieve (250-digit input)
Sat Nov  7 19:36:06 2015  R0: -100000000000000000000000000000000000000000
Sat Nov  7 19:36:06 2015  R1: 1
Sat Nov  7 19:36:06 2015  A0: 9
Sat Nov  7 19:36:06 2015  A1: 0
Sat Nov  7 19:36:06 2015  A2: 0
Sat Nov  7 19:36:06 2015  A3: 0
Sat Nov  7 19:36:06 2015  A4: 0
Sat Nov  7 19:36:06 2015  A5: 0
Sat Nov  7 19:36:06 2015  A6: 5000
Sat Nov  7 19:36:06 2015  skew 0.35, size 1.201e-12, alpha 0.602, combined = 1.392e-13 rroots = 0
Sat Nov  7 19:36:06 2015  
Sat Nov  7 19:36:06 2015  commencing linear algebra
Sat Nov  7 19:36:06 2015  initialized process (0,1) of 1 x 2 grid
Sat Nov  7 20:30:14 2015  matrix starts at (0, 10653579)
Sat Nov  7 20:30:16 2015  matrix is 21306959 x 10653557 (3771.2 MB) with weight 1081465508 (101.51/col)
Sat Nov  7 20:30:16 2015  sparse part has weight 871416260 (81.80/col)
Sat Nov  7 20:30:16 2015  saving the first 48 matrix rows for later
Sat Nov  7 20:30:19 2015  matrix includes 64 packed rows
Sat Nov  7 20:30:22 2015  matrix is 21306911 x 10653557 (3614.2 MB) with weight 897477456 (84.24/col)
Sat Nov  7 20:30:22 2015  sparse part has weight 840905034 (78.93/col)
Sat Nov  7 20:30:22 2015  using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
Sat Nov  7 20:31:46 2015  commencing Lanczos iteration (6 threads)
Sat Nov  7 20:31:46 2015  memory use: 3160.3 MB
Mon Nov 16 14:54:36 2015  lanczos halted after 336943 iterations (dim = 21306909)
Mon Nov 16 14:54:39 2015  lanczos error: only trivial dependencies found
Mon Nov 16 14:54:40 2015  BLanczosTime: 760714
Mon Nov 16 14:54:40 2015  elapsed time 211:18:36

Mon Nov 16 14:55:19 2015  
Mon Nov 16 14:55:19 2015  
Mon Nov 16 14:55:19 2015  Msieve v. 1.53 (SVN 983M)
Mon Nov 16 14:55:19 2015  random seeds: a55ed14c f0c417c9
Mon Nov 16 14:55:19 2015  factoring 5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009 (250 digits)
Mon Nov 16 14:55:22 2015  no P-1/P+1/ECM available, skipping
Mon Nov 16 14:55:22 2015  commencing number field sieve (250-digit input)
Mon Nov 16 14:55:22 2015  R0: -100000000000000000000000000000000000000000
Mon Nov 16 14:55:22 2015  R1: 1
Mon Nov 16 14:55:22 2015  A0: 9
Mon Nov 16 14:55:22 2015  A1: 0
Mon Nov 16 14:55:22 2015  A2: 0
Mon Nov 16 14:55:22 2015  A3: 0
Mon Nov 16 14:55:22 2015  A4: 0
Mon Nov 16 14:55:22 2015  A5: 0
Mon Nov 16 14:55:22 2015  A6: 5000
Mon Nov 16 14:55:22 2015  skew 0.35, size 1.201e-012, alpha 0.602, combined = 1.392e-013 rroots = 0
Mon Nov 16 14:55:22 2015  
Mon Nov 16 14:55:22 2015  commencing square root phase
Mon Nov 16 14:55:22 2015  reading relations for dependency 1
Mon Nov 16 14:55:29 2015  read 10650876 cycles
Mon Nov 16 14:55:55 2015  cycles contain 34486588 unique relations
Mon Nov 16 15:07:26 2015  read 34486588 relations
Mon Nov 16 15:11:47 2015  multiplying 34486588 relations
Mon Nov 16 16:11:57 2015  multiply complete, coefficients have about 1269.29 million bits
Mon Nov 16 16:12:08 2015  initial square root is modulo 494023
Mon Nov 16 17:18:17 2015  found factor: 464728731865608913260038214522626984403208827108850140785926329054103982893555379011
Mon Nov 16 17:18:17 2015  reading relations for dependency 2
Mon Nov 16 17:18:25 2015  read 10654604 cycles
Mon Nov 16 17:18:47 2015  cycles contain 34491354 unique relations
Mon Nov 16 17:30:22 2015  read 34491354 relations
Mon Nov 16 17:34:46 2015  multiplying 34491354 relations
Mon Nov 16 18:34:51 2015  multiply complete, coefficients have about 1269.47 million bits
Mon Nov 16 18:35:02 2015  initial square root is modulo 494917
Mon Nov 16 19:41:18 2015  sqrtTime: 17156
Mon Nov 16 19:41:18 2015  p57 factor: 135829727011459164560211559546453460624103398911541319763
Mon Nov 16 19:41:18 2015  p84 factor: 464728731865608913260038214522626984403208827108850140785926329054103982893555379011
Mon Nov 16 19:41:18 2015  p110 factor: 79209204723174522376608656845550577077880783270025527539186192941746268459342094908968542335913305270808335313
Mon Nov 16 19:41:18 2015  elapsed time 04:45:59
software ソフトウェア
GGNFS (svn-440), msieve 1.53
execution environment 実行環境
Windows 7 Pro 64-bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 27, 2013 12:12:02 UTC 2013 年 9 月 27 日 (金) 21 時 12 分 2 秒 (日本時間)
4511e62000Dmitry DomanovSeptember 27, 2013 12:12:02 UTC 2013 年 9 月 27 日 (金) 21 時 12 分 2 秒 (日本時間)
5043e67047800Dmitry DomanovOctober 11, 2013 11:26:24 UTC 2013 年 10 月 11 日 (金) 20 時 26 分 24 秒 (日本時間)
6247Serge BatalovOctober 26, 2014 20:12:01 UTC 2014 年 10 月 27 日 (月) 5 時 12 分 1 秒 (日本時間)
5511e70--
6026e78375 / 41159375Youcef LemsaferMarch 12, 2015 10:05:21 UTC 2015 年 3 月 12 日 (木) 19 時 5 分 21 秒 (日本時間)
8000Youcef LemsaferAugust 31, 2015 09:00:08 UTC 2015 年 8 月 31 日 (月) 18 時 0 分 8 秒 (日本時間)

5×10250+9

c228

name 名前Dmitry Domanov
date 日付September 25, 2013 05:10:45 UTC 2013 年 9 月 25 日 (水) 14 時 10 分 45 秒 (日本時間)
composite number 合成数
970488779430906770982913951271313959886896099095277167366805127600052531272738837128579831143617225868828487224116964864479947394817367296283621267637319955757273814893470278513121322307376324895099249049597967900166091769950663<228>
prime factors 素因数
13000157627426089562946769067269<32>
composite cofactor 合成数の残り
74652077862770848059448513822813717324279507259426055532150642878625233605109189079514569966624237637131708688329670377222309299683096319546813665670841360384741051605368087157982139503249374817627<197>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1784506820
Step 1 took 30597ms
Step 2 took 11423ms
********** Factor found in step 2: 13000157627426089562946769067269
Found probable prime factor of 32 digits: 13000157627426089562946769067269

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 23, 2013 14:00:00 UTC 2013 年 9 月 23 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 27, 2013 12:11:43 UTC 2013 年 9 月 27 日 (金) 21 時 11 分 43 秒 (日本時間)
4511e62000Dmitry DomanovSeptember 27, 2013 12:11:43 UTC 2013 年 9 月 27 日 (金) 21 時 11 分 43 秒 (日本時間)
5043e6620 / 7047Dmitry DomanovOctober 11, 2013 11:25:53 UTC 2013 年 10 月 11 日 (金) 20 時 25 分 53 秒 (日本時間)