Table of contents 目次

8×10108-9

c85

name 名前Robert Backstrom
date 日付January 12, 2008 10:44:02 UTC 2008 年 1 月 12 日 (土) 19 時 44 分 2 秒 (日本時間)
composite number 合成数
1372555516949333137618228270331274485790782160526248343993890054088622756983399304647<85>
prime factors 素因数
10784808302586663079660355798191<32>
127267493166302734542256662357223329760676931011149417<54>
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 1372555516949333137618228270331274485790782160526248343993890054088622756983399304647 (85 digits)
Using B1=894000, B2=715666600, polynomial Dickson(3), sigma=353689614
Step 1 took 6781ms
Step 2 took 5704ms
********** Factor found in step 2: 10784808302586663079660355798191
Found probable prime factor of 32 digits: 10784808302586663079660355798191
Probable prime cofactor 127267493166302734542256662357223329760676931011149417 has 54 digits

8×10113-9

c104

name 名前Sinkiti Sibata
date 日付January 12, 2008 11:50:56 UTC 2008 年 1 月 12 日 (土) 20 時 50 分 56 秒 (日本時間)
composite number 合成数
13271086436857956665003795278321466204613927762908668489758134204339053238368831986794926070452804708721<104>
prime factors 素因数
390808792124933992905008532836460473489137122991<48>
33958003771356934218524016876132944905551552683170456031<56>
factorization results 素因数分解の結果
Number: 79991_113
N=13271086436857956665003795278321466204613927762908668489758134204339053238368831986794926070452804708721
  ( 104 digits)
SNFS difficulty: 113 digits.
Divisors found:
 r1=390808792124933992905008532836460473489137122991 (pp48)
 r2=33958003771356934218524016876132944905551552683170456031 (pp56)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 1.88 hours.
Scaled time: 1.27 units (timescale=0.675).
Factorization parameters were as follows:
name:79991_113
n: 13271086436857956665003795278321466204613927762908668489758134204339053238368831986794926070452804708721
m: 20000000000000000000000
c5: 250
c0: -9
skew: 0.51
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:63828, largePrimes:2133195 encountered
Relations: rels:2279375, finalFF:293525
Max relations in full relation-set: 28
Initial matrix: 112993 x 293525 with sparse part having weight 23279201.
Pruned matrix : 72949 x 73577 with weight 4016180.
Total sieving time: 1.70 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,113,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.88 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

8×10115-9

c115

name 名前Sinkiti Sibata
date 日付January 12, 2008 10:50:45 UTC 2008 年 1 月 12 日 (土) 19 時 50 分 45 秒 (日本時間)
composite number 合成数
2580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161<115>
prime factors 素因数
1952641829846445891880391633628571<34>
183792537662905341244235989253778248189<39>
7190810275475399982758739592384651846401319<43>
factorization results 素因数分解の結果
Number: 79991_115
N=2580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161
  ( 115 digits)
SNFS difficulty: 115 digits.
Divisors found:
 r1=1952641829846445891880391633628571 (pp34)
 r2=183792537662905341244235989253778248189 (pp39)
 r3=7190810275475399982758739592384651846401319 (pp43)
Version: GGNFS-0.77.1-20060513-k8
Total time: 1.28 hours.
Scaled time: 2.57 units (timescale=2.003).
Factorization parameters were as follows:
name: 79991_115
n: 2580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161290322580645161
m: 100000000000000000000000
c5: 8
c0: -9
skew: 1.02
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, 450001)
Primes: RFBsize:49098, AFBsize:64008, largePrimes:2120520 encountered
Relations: rels:2265866, finalFF:291540
Max relations in full relation-set: 28
Initial matrix: 113171 x 291540 with sparse part having weight 22877031.
Pruned matrix : 73769 x 74398 with weight 3980313.
Total sieving time: 1.19 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.03 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: 1.28 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

8×10121-9

c117

name 名前Sinkiti Sibata
date 日付January 12, 2008 12:14:47 UTC 2008 年 1 月 12 日 (土) 21 時 14 分 47 秒 (日本時間)
composite number 合成数
248687396833587719816344357438395468915629692031744946205807472434556357227011181607080130187852242383171323856271119<117>
prime factors 素因数
66190937999157259563309327452865130078561271454954931<53>
3757121508638448333172650338258137145904700516674921367147594549<64>
factorization results 素因数分解の結果
Number: 79991_121
N=248687396833587719816344357438395468915629692031744946205807472434556357227011181607080130187852242383171323856271119
  ( 117 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=66190937999157259563309327452865130078561271454954931 (pp53)
 r2=3757121508638448333172650338258137145904700516674921367147594549 (pp64)
Version: GGNFS-0.77.1-20060513-k8
Total time: 2.07 hours.
Scaled time: 4.17 units (timescale=2.010).
Factorization parameters were as follows:
name: 79991_121
n: 248687396833587719816344357438395468915629692031744946205807472434556357227011181607080130187852242383171323856271119
m: 2000000000000000000000000
c5: 5
c0: -18
skew: 1.29
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 550001)
Primes: RFBsize:49098, AFBsize:63758, largePrimes:1984467 encountered
Relations: rels:1952225, finalFF:141050
Max relations in full relation-set: 28
Initial matrix: 112922 x 141050 with sparse part having weight 10926246.
Pruned matrix : 102413 x 103041 with weight 6162277.
Total sieving time: 1.93 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,122,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.07 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

8×10126-9

c126

name 名前Jo Yeong Uk
date 日付January 12, 2008 11:54:42 UTC 2008 年 1 月 12 日 (土) 20 時 54 分 42 秒 (日本時間)
composite number 合成数
347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217<126>
prime factors 素因数
217581248286592871920703441696601910487<39>
1598603233024812172766526043763336942138049668499189186436388071437141249364595430510791<88>
factorization results 素因数分解の結果
Number: 79991_126
N=347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217
  ( 126 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=217581248286592871920703441696601910487 (pp39)
 r2=1598603233024812172766526043763336942138049668499189186436388071437141249364595430510791 (pp88)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 1.48 hours.
Scaled time: 3.18 units (timescale=2.151).
Factorization parameters were as follows:
n: 347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217
m: 20000000000000000000000000
c5: 5
c0: -18
skew: 1.29
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:63758, largePrimes:1391980 encountered
Relations: rels:1386131, finalFF:169407
Max relations in full relation-set: 28
Initial matrix: 127775 x 169407 with sparse part having weight 8164693.
Pruned matrix : 109759 x 110461 with weight 4063548.
Total sieving time: 1.42 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,127,5,0,0,0,0,0,0,0,0,800000,800000,25,25,45,45,2.2,2.2,40000
total time: 1.48 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 8178280k/8912896k available (2434k kernel code, 208060k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 4812.90 BogoMIPS (lpj=2406451)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405121)
execution environment 実行環境
Core 2 Quad Q6600

8×10127-9

c106

name 名前Sinkiti Sibata
date 日付January 13, 2008 00:43:20 UTC 2008 年 1 月 13 日 (日) 9 時 43 分 20 秒 (日本時間)
composite number 合成数
1297619045550961749053867427793399261073676933317173039733022282273362765727795424832044173656449032178279<106>
prime factors 素因数
657946460633670262464217847012752777057361<42>
1972225892515966800861803327069244574222166958428213389132029239<64>
factorization results 素因数分解の結果
Number: 79991_127
N=1297619045550961749053867427793399261073676933317173039733022282273362765727795424832044173656449032178279
  ( 106 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=657946460633670262464217847012752777057361 (pp42)
 r2=1972225892515966800861803327069244574222166958428213389132029239 (pp64)
Version: GGNFS-0.77.1-20060513-k8
Total time: 3.10 hours.
Scaled time: 6.18 units (timescale=1.996).
Factorization parameters were as follows:
name: 79991_127
n: 1297619045550961749053867427793399261073676933317173039733022282273362765727795424832044173656449032178279
m: 20000000000000000000000000
c5: 25
c0: -9
skew: 0.82
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [400000, 750001)
Primes: RFBsize:63951, AFBsize:63968, largePrimes:1468206 encountered
Relations: rels:1493823, finalFF:197352
Max relations in full relation-set: 28
Initial matrix: 127983 x 197352 with sparse part having weight 9951716.
Pruned matrix : 104345 x 105048 with weight 4227563.
Total sieving time: 2.98 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,127,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 3.10 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

8×10134-9

c119

name 名前Sinkiti Sibata
date 日付January 12, 2008 22:50:59 UTC 2008 年 1 月 13 日 (日) 7 時 50 分 59 秒 (日本時間)
composite number 合成数
18053636104667704643286239945614946302235180121774908791993905279361217947079393873400776543238916285526231963749448849<119>
prime factors 素因数
547886259883585498357025117689672145168225517346471<51>
32951430664648770389924301340174201074562936491053050907418208102919<68>
factorization results 素因数分解の結果
Number: 79991_134
N=18053636104667704643286239945614946302235180121774908791993905279361217947079393873400776543238916285526231963749448849
  ( 119 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=547886259883585498357025117689672145168225517346471 (pp51)
 r2=32951430664648770389924301340174201074562936491053050907418208102919 (pp68)
Version: GGNFS-0.77.1-20060513-k8
Total time: 5.77 hours.
Scaled time: 11.57 units (timescale=2.004).
Factorization parameters were as follows:
name: 79991_134
n: 18053636104667704643286239945614946302235180121774908791993905279361217947079393873400776543238916285526231963749448849
m: 1000000000000000000000000000
c5: 4
c0: -45
skew: 1.62
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 1075001)
Primes: RFBsize:78498, AFBsize:64108, largePrimes:1539429 encountered
Relations: rels:1553166, finalFF:188124
Max relations in full relation-set: 28
Initial matrix: 142670 x 188124 with sparse part having weight 14083615.
Pruned matrix : 127526 x 128303 with weight 7818342.
Total sieving time: 5.59 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,135,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 5.77 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

8×10136-9

c106

name 名前Jo Yeong Uk
date 日付January 12, 2008 15:02:23 UTC 2008 年 1 月 13 日 (日) 0 時 2 分 23 秒 (日本時間)
composite number 合成数
1570178204296442471478760889548334038176734874175207254303092147557263103549956249477642039440313865213697<106>
prime factors 素因数
414874359200499062591640749476962066365515367<45>
3784707754227857968375340111961975566863294728841184192955991<61>
factorization results 素因数分解の結果
Number: 79991_136
N=1570178204296442471478760889548334038176734874175207254303092147557263103549956249477642039440313865213697
  ( 106 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=414874359200499062591640749476962066365515367 (pp45)
 r2=3784707754227857968375340111961975566863294728841184192955991 (pp61)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 3.02 hours.
Scaled time: 6.42 units (timescale=2.126).
Factorization parameters were as follows:
n: 1570178204296442471478760889548334038176734874175207254303092147557263103549956249477642039440313865213697
m: 2000000000000000000000000000
c5: 5
c0: -18
skew: 1.29
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, 1250001)
Primes: RFBsize:107126, AFBsize:106673, largePrimes:2293144 encountered
Relations: rels:2442022, finalFF:309970
Max relations in full relation-set: 28
Initial matrix: 213865 x 309970 with sparse part having weight 23128338.
Pruned matrix : 176160 x 177293 with weight 10368683.
Total sieving time: 2.88 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,137,5,0,0,0,0,0,0,0,0,1400000,1400000,25,25,47,47,2.3,2.3,50000
total time: 3.02 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 8178280k/8912896k available (2434k kernel code, 208060k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 4812.90 BogoMIPS (lpj=2406451)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405121)
execution environment 実行環境
Core 2 Quad Q6600

8×10137-9

c116

name 名前Jo Yeong Uk
date 日付January 12, 2008 13:43:17 UTC 2008 年 1 月 12 日 (土) 22 時 43 分 17 秒 (日本時間)
composite number 合成数
63509653737574399217038616831944475076055080799012737578919148228450102913151031013675654824282011444268263707205371<116>
prime factors 素因数
9029523373784041010808525557981<31>
1221423363891302373996983840134301<34>
5758491037866755216905701730446521364185825908289891<52>
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 63509653737574399217038616831944475076055080799012737578919148228450102913151031013675654824282011444268263707205371 (116 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4274360394
Step 1 took 6672ms
Step 2 took 1015ms
********** Factor found in step 2: 9029523373784041010808525557981
Found probable prime factor of 31 digits: 9029523373784041010808525557981
Composite cofactor 7033555494409129235621750952426445415239612600830862521555814673561206967670680651191 has 85 digits

Sat Jan 12 21:44:58 2008  
Sat Jan 12 21:44:58 2008  
Sat Jan 12 21:44:58 2008  Msieve v. 1.28
Sat Jan 12 21:44:58 2008  random seeds: 5b6f6980 09f90c48
Sat Jan 12 21:44:58 2008  factoring 7033555494409129235621750952426445415239612600830862521555814673561206967670680651191 (85 digits)
Sat Jan 12 21:44:58 2008  commencing quadratic sieve (85-digit input)
Sat Jan 12 21:44:58 2008  using multiplier of 7
Sat Jan 12 21:44:58 2008  using 32kb Intel Core sieve core
Sat Jan 12 21:44:58 2008  sieve interval: 12 blocks of size 32768
Sat Jan 12 21:44:58 2008  processing polynomials in batches of 17
Sat Jan 12 21:44:58 2008  using a sieve bound of 1434241 (54480 primes)
Sat Jan 12 21:44:58 2008  using large prime bound of 116173521 (26 bits)
Sat Jan 12 21:44:58 2008  using double large prime bound of 328997602795950 (41-49 bits)
Sat Jan 12 21:44:58 2008  using trial factoring cutoff of 49 bits
Sat Jan 12 21:44:58 2008  polynomial 'A' values have 11 factors
Sat Jan 12 22:09:30 2008  54635 relations (15866 full + 38769 combined from 573370 partial), need 54576
Sat Jan 12 22:09:30 2008  begin with 589236 relations
Sat Jan 12 22:09:31 2008  reduce to 128767 relations in 9 passes
Sat Jan 12 22:09:31 2008  attempting to read 128767 relations
Sat Jan 12 22:09:32 2008  recovered 128767 relations
Sat Jan 12 22:09:32 2008  recovered 108972 polynomials
Sat Jan 12 22:09:32 2008  attempting to build 54635 cycles
Sat Jan 12 22:09:32 2008  found 54635 cycles in 5 passes
Sat Jan 12 22:09:32 2008  distribution of cycle lengths:
Sat Jan 12 22:09:32 2008     length 1 : 15866
Sat Jan 12 22:09:32 2008     length 2 : 11089
Sat Jan 12 22:09:32 2008     length 3 : 9652
Sat Jan 12 22:09:32 2008     length 4 : 6995
Sat Jan 12 22:09:32 2008     length 5 : 4741
Sat Jan 12 22:09:32 2008     length 6 : 2779
Sat Jan 12 22:09:32 2008     length 7 : 1683
Sat Jan 12 22:09:32 2008     length 9+: 1830
Sat Jan 12 22:09:32 2008  largest cycle: 17 relations
Sat Jan 12 22:09:32 2008  matrix is 54480 x 54635 with weight 2902839 (avg 53.13/col)
Sat Jan 12 22:09:32 2008  filtering completed in 3 passes
Sat Jan 12 22:09:32 2008  matrix is 49839 x 49903 with weight 2674857 (avg 53.60/col)
Sat Jan 12 22:09:33 2008  saving the first 48 matrix rows for later
Sat Jan 12 22:09:33 2008  matrix is 49791 x 49903 with weight 2017488 (avg 40.43/col)
Sat Jan 12 22:09:33 2008  matrix includes 64 packed rows
Sat Jan 12 22:09:33 2008  commencing Lanczos iteration
Sat Jan 12 22:10:15 2008  lanczos halted after 789 iterations
Sat Jan 12 22:10:15 2008  recovered 15 nontrivial dependencies
Sat Jan 12 22:10:16 2008  prp34 factor: 1221423363891302373996983840134301
Sat Jan 12 22:10:16 2008  prp52 factor: 5758491037866755216905701730446521364185825908289891
Sat Jan 12 22:10:16 2008  elapsed time 00:25:18
execution environment 実行環境
Core 2 Quad Q6600

8×10140-9

c112

name 名前Jo Yeong Uk
date 日付January 13, 2008 01:18:11 UTC 2008 年 1 月 13 日 (日) 10 時 18 分 11 秒 (日本時間)
composite number 合成数
1254891470052116520828269206319513146161103905631639479267954114925778079057809127052812483177258998970076508569<112>
prime factors 素因数
388536296915994985391902206726511<33>
3229792119842628898676018383831983166364802105671842667810158223564146032892279<79>
factorization results 素因数分解の結果
Number: 79991_140
N=1254891470052116520828269206319513146161103905631639479267954114925778079057809127052812483177258998970076508569
  ( 112 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=388536296915994985391902206726511 (pp33)
 r2=3229792119842628898676018383831983166364802105671842667810158223564146032892279 (pp79)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 5.41 hours.
Scaled time: 11.62 units (timescale=2.148).
Factorization parameters were as follows:
n: 1254891470052116520828269206319513146161103905631639479267954114925778079057809127052812483177258998970076508569
m: 20000000000000000000000000000
c5: 1
c0: -36
skew: 2.05
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved algebraic special-q in [750000, 1100001)
Primes: RFBsize:114155, AFBsize:114197, largePrimes:3313249 encountered
Relations: rels:3414814, finalFF:399605
Max relations in full relation-set: 28
Initial matrix: 228416 x 399605 with sparse part having weight 33303166.
Pruned matrix : 167030 x 168236 with weight 12188509.
Total sieving time: 5.25 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,47,47,2.3,2.3,50000
total time: 5.41 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 8178280k/8912896k available (2434k kernel code, 208060k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 4812.90 BogoMIPS (lpj=2406451)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405121)
execution environment 実行環境
Core 2 Quad Q6600

8×10144-9

c110

name 名前Sinkiti Sibata
date 日付January 14, 2008 07:56:16 UTC 2008 年 1 月 14 日 (月) 16 時 56 分 16 秒 (日本時間)
composite number 合成数
44014529332280370913945784430768068918614841536502394721741885965309300374132997959530907498071104444566051033<110>
prime factors 素因数
1202396689032442891861982410658929<34>
36605664115474603832272688375093831327326195191011201019483886504026399481577<77>
factorization results 素因数分解の結果
Number: 79991_144
N=44014529332280370913945784430768068918614841536502394721741885965309300374132997959530907498071104444566051033
  ( 110 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=1202396689032442891861982410658929 (pp34)
 r2=36605664115474603832272688375093831327326195191011201019483886504026399481577 (pp77)
Version: GGNFS-0.77.1-20060513-k8
Total time: 15.54 hours.
Scaled time: 30.96 units (timescale=1.992).
Factorization parameters were as follows:
name: 79991_144
n: 44014529332280370913945784430768068918614841536502394721741885965309300374132997959530907498071104444566051033
m: 100000000000000000000000000000
c5: 4
c0: -45
skew: 1.62
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [650000, 2350001)
Primes: RFBsize:100021, AFBsize:100108, largePrimes:2834967 encountered
Relations: rels:2856600, finalFF:275497
Max relations in full relation-set: 28
Initial matrix: 200193 x 275497 with sparse part having weight 29783015.
Pruned matrix : 180481 x 181545 with weight 17934606.
Total sieving time: 14.99 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.35 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,145,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 15.54 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

8×10145-9

c126

name 名前Sinkiti Sibata
date 日付January 13, 2008 23:09:07 UTC 2008 年 1 月 14 日 (月) 8 時 9 分 7 秒 (日本時間)
composite number 合成数
326560925407781770767774075639791745382030213521430418350721109651781264744036225782582623040049517265875742904382248461554231<126>
prime factors 素因数
7742337301078104200488978966281420202696958368400348371<55>
42178597070720342821424007221144098406947930977765023595765919575211661<71>
factorization results 素因数分解の結果
Number: 79991_145
N=326560925407781770767774075639791745382030213521430418350721109651781264744036225782582623040049517265875742904382248461554231
  ( 126 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=7742337301078104200488978966281420202696958368400348371 (pp55)
 r2=42178597070720342821424007221144098406947930977765023595765919575211661 (pp71)
Version: GGNFS-0.77.1-20060513-k8
Total time: 13.98 hours.
Scaled time: 27.74 units (timescale=1.985).
Factorization parameters were as follows:
name: 79991_145
n: 326560925407781770767774075639791745382030213521430418350721109651781264744036225782582623040049517265875742904382248461554231
m: 100000000000000000000000000000
c5: 8
c0: -9
skew: 1.02
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [650000, 2150001)
Primes: RFBsize:100021, AFBsize:99978, largePrimes:2778825 encountered
Relations: rels:2779522, finalFF:267636
Max relations in full relation-set: 28
Initial matrix: 200064 x 267636 with sparse part having weight 27367024.
Pruned matrix : 181507 x 182571 with weight 16750604.
Total sieving time: 13.45 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.36 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,145,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 13.98 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

8×10146-9

c106

name 名前Jo Yeong Uk
date 日付January 12, 2008 14:31:51 UTC 2008 年 1 月 12 日 (土) 23 時 31 分 51 秒 (日本時間)
composite number 合成数
2058810010761612567092352089720365386730249897152746203606397778052467814931305459604563382995204599627199<106>
prime factors 素因数
2237064275354436560413927703682193<34>
920317772467855578861737276438457302528107277025704935144084694913195343<72>
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 2058810010761612567092352089720365386730249897152746203606397778052467814931305459604563382995204599627199 (106 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=930593696
Step 1 took 5428ms
Step 2 took 3684ms
********** Factor found in step 2: 2237064275354436560413927703682193
Found probable prime factor of 34 digits: 2237064275354436560413927703682193
Probable prime cofactor 920317772467855578861737276438457302528107277025704935144084694913195343 has 72 digits
execution environment 実行環境
Core 2 Quad Q6600

8×10147-9

c105

name 名前Sinkiti Sibata
date 日付January 13, 2008 11:37:14 UTC 2008 年 1 月 13 日 (日) 20 時 37 分 14 秒 (日本時間)
composite number 合成数
137051119593948261370044705690083652684958246482044222007487026886745761271810395403932044275256914167919<105>
prime factors 素因数
757574316234139695166249827153995203794288161<45>
180907822053975968030490364262581021587417735195779858011279<60>
factorization results 素因数分解の結果
Number: 79991_147
N=137051119593948261370044705690083652684958246482044222007487026886745761271810395403932044275256914167919
  ( 105 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=757574316234139695166249827153995203794288161 (pp45)
 r2=180907822053975968030490364262581021587417735195779858011279 (pp60)
Version: GGNFS-0.77.1-20060513-k8
Total time: 21.13 hours.
Scaled time: 42.15 units (timescale=1.995).
Factorization parameters were as follows:
name: 79991_147
n: 137051119593948261370044705690083652684958246482044222007487026886745761271810395403932044275256914167919
m: 200000000000000000000000000000
c5: 25
c0: -9
skew: 0.82
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [750000, 3050001)
Primes: RFBsize:114155, AFBsize:114087, largePrimes:2932834 encountered
Relations: rels:2973016, finalFF:311516
Max relations in full relation-set: 28
Initial matrix: 228306 x 311516 with sparse part having weight 33697415.
Pruned matrix : 204714 x 205919 with weight 20792624.
Total sieving time: 20.36 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.57 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,147,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 21.13 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

8×10148-9

c100

name 名前Sinkiti Sibata
date 日付January 14, 2008 05:29:16 UTC 2008 年 1 月 14 日 (月) 14 時 29 分 16 秒 (日本時間)
composite number 合成数
4253496124238984707734842877964977170209510988448548351661975134912047668525960763545100431865332767<100>
prime factors 素因数
1698869895271211983854184427647893889<37>
2503720935946036989300856832502895816091759303149812092199359903<64>
factorization results 素因数分解の結果
Sat Jan 12 20:55:23 2008  Msieve v. 1.30
Sat Jan 12 20:55:23 2008  random seeds: 45d02a07 42588f3f
Sat Jan 12 20:55:23 2008  factoring 4253496124238984707734842877964977170209510988448548351661975134912047668525960763545100431865332767 (100 digits)
Sat Jan 12 20:55:24 2008  commencing quadratic sieve (100-digit input)
Sat Jan 12 20:55:24 2008  using multiplier of 3
Sat Jan 12 20:55:24 2008  using 64kb Pentium 4 sieve core
Sat Jan 12 20:55:24 2008  sieve interval: 18 blocks of size 65536
Sat Jan 12 20:55:24 2008  processing polynomials in batches of 6
Sat Jan 12 20:55:24 2008  using a sieve bound of 2704027 (98824 primes)
Sat Jan 12 20:55:24 2008  using large prime bound of 405604050 (28 bits)
Sat Jan 12 20:55:24 2008  using double large prime bound of 3123087099560100 (43-52 bits)
Sat Jan 12 20:55:24 2008  using trial factoring cutoff of 52 bits
Sat Jan 12 20:55:24 2008  polynomial 'A' values have 13 factors
Sun Jan 13 07:55:59 2008  9287 relations (6915 full + 2372 combined from 447278 partial), need 98920
Sun Jan 13 07:55:59 2008  elapsed time 11:00:36
Sun Jan 13 08:10:19 2008  
Sun Jan 13 08:10:19 2008  
Sun Jan 13 08:10:19 2008  Msieve v. 1.30
Sun Jan 13 08:10:19 2008  random seeds: 8ded5200 352a1059
Sun Jan 13 08:10:19 2008  factoring 4253496124238984707734842877964977170209510988448548351661975134912047668525960763545100431865332767 (100 digits)
Sun Jan 13 08:10:20 2008  commencing quadratic sieve (100-digit input)
Sun Jan 13 08:10:20 2008  using multiplier of 3
Sun Jan 13 08:10:20 2008  using 64kb Pentium 4 sieve core
Sun Jan 13 08:10:20 2008  sieve interval: 18 blocks of size 65536
Sun Jan 13 08:10:20 2008  processing polynomials in batches of 6
Sun Jan 13 08:10:20 2008  using a sieve bound of 2704027 (98824 primes)
Sun Jan 13 08:10:20 2008  using large prime bound of 405604050 (28 bits)
Sun Jan 13 08:10:20 2008  using double large prime bound of 3123087099560100 (43-52 bits)
Sun Jan 13 08:10:20 2008  using trial factoring cutoff of 52 bits
Sun Jan 13 08:10:20 2008  polynomial 'A' values have 13 factors
Sun Jan 13 08:10:22 2008  restarting with 6915 full and 447278 partial relations
Mon Jan 14 09:57:41 2008  98999 relations (23067 full + 75932 combined from 1497061 partial), need 98920
Mon Jan 14 09:57:47 2008  begin with 1520128 relations
Mon Jan 14 09:57:50 2008  reduce to 263703 relations in 11 passes
Mon Jan 14 09:57:50 2008  attempting to read 263703 relations
Mon Jan 14 09:58:00 2008  recovered 263703 relations
Mon Jan 14 09:58:00 2008  recovered 255071 polynomials
Mon Jan 14 09:58:01 2008  attempting to build 98999 cycles
Mon Jan 14 09:58:01 2008  found 98999 cycles in 6 passes
Mon Jan 14 09:58:01 2008  distribution of cycle lengths:
Mon Jan 14 09:58:01 2008     length 1 : 23067
Mon Jan 14 09:58:01 2008     length 2 : 16643
Mon Jan 14 09:58:01 2008     length 3 : 16544
Mon Jan 14 09:58:01 2008     length 4 : 13575
Mon Jan 14 09:58:01 2008     length 5 : 10481
Mon Jan 14 09:58:01 2008     length 6 : 7268
Mon Jan 14 09:58:01 2008     length 7 : 4607
Mon Jan 14 09:58:01 2008     length 9+: 6814
Mon Jan 14 09:58:01 2008  largest cycle: 21 relations
Mon Jan 14 09:58:02 2008  matrix is 98824 x 98999 with weight 6671927 (avg 67.39/col)
Mon Jan 14 09:58:04 2008  filtering completed in 3 passes
Mon Jan 14 09:58:04 2008  matrix is 95182 x 95246 with weight 6452945 (avg 67.75/col)
Mon Jan 14 09:58:05 2008  saving the first 48 matrix rows for later
Mon Jan 14 09:58:05 2008  matrix is 95134 x 95246 with weight 5001470 (avg 52.51/col)
Mon Jan 14 09:58:05 2008  matrix includes 64 packed rows
Mon Jan 14 09:58:05 2008  using block size 21845 for processor cache size 512 kB
Mon Jan 14 09:58:07 2008  commencing Lanczos iteration
Mon Jan 14 09:59:41 2008  lanczos halted after 1506 iterations (dim = 95134)
Mon Jan 14 09:59:41 2008  recovered 18 nontrivial dependencies
Mon Jan 14 09:59:43 2008  prp37 factor: 1698869895271211983854184427647893889
Mon Jan 14 09:59:43 2008  prp64 factor: 2503720935946036989300856832502895816091759303149812092199359903
Mon Jan 14 09:59:43 2008  elapsed time 25:49:24
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

8×10149-9

c140

name 名前Robert Backstrom
date 日付January 15, 2008 10:29:53 UTC 2008 年 1 月 15 日 (火) 19 時 29 分 53 秒 (日本時間)
composite number 合成数
50402365228617734335016222043145796714084216637046821048037371523707138598899480824205970221639614758238464126637047456747868817464881438991<140>
prime factors 素因数
506448962913497763293952892565556348977959<42>
51909484898783796991431617515193618122604873161<47>
1917204817158045773364919500838723218822870408926609<52>
factorization results 素因数分解の結果
Number: n
N=50402365228617734335016222043145796714084216637046821048037371523707138598899480824205970221639614758238464126637047456747868817464881438991
  ( 140 digits)
SNFS difficulty: 150 digits.
Divisors found:

Tue Jan 15 21:21:09 2008  prp42 factor: 506448962913497763293952892565556348977959
Tue Jan 15 21:21:09 2008  prp47 factor: 51909484898783796991431617515193618122604873161
Tue Jan 15 21:21:09 2008  prp52 factor: 1917204817158045773364919500838723218822870408926609
Tue Jan 15 21:21:09 2008  elapsed time 00:47:51 (Msieve 1.32)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 14.51 hours.
Scaled time: 19.05 units (timescale=1.313).
Factorization parameters were as follows:
name: KA_7_9_148_1
n: 50402365228617734335016222043145796714084216637046821048037371523707138598899480824205970221639614758238464126637047456747868817464881438991
skew: 1.62
deg: 5
c5: 4
c0: -45
m: 1000000000000000000000000000000
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, 799990)
Primes: RFBsize:203362, AFBsize:203002, largePrimes:6263890 encountered
Relations: rels:5792386, finalFF:494582
Max relations in full relation-set: 28
Initial matrix: 406428 x 494582 with sparse part having weight 27219008.
Pruned matrix : 
Total sieving time: 14.35 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,150,5,0,0,0,0,0,0,0,0,2800000,2800000,28,28,48,48,2.5,2.5,100000
total time: 14.51 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

8×10150-9

c122

name 名前Jo Yeong Uk
date 日付January 13, 2008 13:00:29 UTC 2008 年 1 月 13 日 (日) 22 時 0 分 29 秒 (日本時間)
composite number 合成数
46187410586671979793763904423352571432961215465785614036273142323402790039945056505520163118222449815563959534158948325593<122>
prime factors 素因数
96315157891755373030439425392135709447474977307786081<53>
479544565961051555887991852543525630193846540227492360552478340319353<69>
factorization results 素因数分解の結果
Number: 79991_150
N=46187410586671979793763904423352571432961215465785614036273142323402790039945056505520163118222449815563959534158948325593
  ( 122 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=96315157891755373030439425392135709447474977307786081 (pp53)
 r2=479544565961051555887991852543525630193846540227492360552478340319353 (pp69)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 11.20 hours.
Scaled time: 24.03 units (timescale=2.146).
Factorization parameters were as follows:
n: 46187410586671979793763904423352571432961215465785614036273142323402790039945056505520163118222449815563959534158948325593
m: 2000000000000000000000000000000
c5: 1
c0: -36
skew: 2.05
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:176388, largePrimes:5294283 encountered
Relations: rels:5193470, finalFF:481776
Max relations in full relation-set: 28
Initial matrix: 352754 x 481776 with sparse part having weight 38435562.
Pruned matrix : 281271 x 283098 with weight 21037307.
Total sieving time: 10.76 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.34 hours.
Time per square root: 0.03 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: 11.20 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 8178280k/8912896k available (2434k kernel code, 208060k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 4812.90 BogoMIPS (lpj=2406451)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405121)
execution environment 実行環境
Core 2 Quad Q6600

8×10151-9

c124

name 名前Sinkiti Sibata
date 日付January 14, 2008 21:15:58 UTC 2008 年 1 月 15 日 (火) 6 時 15 分 58 秒 (日本時間)
composite number 合成数
5135329662510855451262747808996030428811545227752914475018951225716569545596080341020197792116773744210930101595349671729891<124>
prime factors 素因数
30791592289433442832144020953926711999042958399<47>
166777008939323811795992782279128050360042974145183252503836734575392545775709<78>
factorization results 素因数分解の結果
Number: 79991_151
N=5135329662510855451262747808996030428811545227752914475018951225716569545596080341020197792116773744210930101595349671729891
  ( 124 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=30791592289433442832144020953926711999042958399 (pp47)
 r2=166777008939323811795992782279128050360042974145183252503836734575392545775709 (pp78)
Version: GGNFS-0.77.1-20060513-k8
Total time: 21.10 hours.
Scaled time: 42.15 units (timescale=1.998).
Factorization parameters were as follows:
name: 79991_151
n: 5135329662510855451262747808996030428811545227752914475018951225716569545596080341020197792116773744210930101595349671729891
m: 2000000000000000000000000000000
c5: 5
c0: -18
skew: 1.29
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:176263, largePrimes:5423196 encountered
Relations: rels:5343061, finalFF:492291
Max relations in full relation-set: 28
Initial matrix: 352631 x 492291 with sparse part having weight 42349212.
Pruned matrix : 286234 x 288061 with weight 22574991.
Total sieving time: 19.86 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.98 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 21.10 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

8×10152-9

c128

name 名前Sinkiti Sibata
date 日付January 15, 2008 11:37:51 UTC 2008 年 1 月 15 日 (火) 20 時 37 分 51 秒 (日本時間)
composite number 合成数
10391576430584355190373677199759407351446517692328060162305724930882541948962841610590261491446581131649370344311873473040744919<128>
prime factors 素因数
8716632273706955002066316578892953673433856501001<49>
1192154963555103648416832707448716501053570407831671868210179818737805091325919<79>
factorization results 素因数分解の結果
Number: 79991_152
N=10391576430584355190373677199759407351446517692328060162305724930882541948962841610590261491446581131649370344311873473040744919
  ( 128 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=8716632273706955002066316578892953673433856501001 (pp49)
 r2=1192154963555103648416832707448716501053570407831671868210179818737805091325919 (pp79)
Version: GGNFS-0.77.1-20060513-k8
Total time: 25.77 hours.
Scaled time: 51.56 units (timescale=2.001).
Factorization parameters were as follows:
name: 79991_152
n: 10391576430584355190373677199759407351446517692328060162305724930882541948962841610590261491446581131649370344311873473040744919
m: 2000000000000000000000000000000
c5: 25
c0: -9
skew: 0.82
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, 2100001)
Primes: RFBsize:176302, AFBsize:176228, largePrimes:5853695 encountered
Relations: rels:6051618, finalFF:728881
Max relations in full relation-set: 28
Initial matrix: 352594 x 728881 with sparse part having weight 65846116.
Pruned matrix : 233861 x 235687 with weight 30991348.
Total sieving time: 24.73 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.78 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 25.77 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

8×10154-9

c127

name 名前Jo Yeong Uk
date 日付January 14, 2008 08:00:46 UTC 2008 年 1 月 14 日 (月) 17 時 0 分 46 秒 (日本時間)
composite number 合成数
4956126968245544840829612126947542016537069480457201107807317941718490806281289773378008927417668578515244674558217734871400657<127>
prime factors 素因数
461939553236586484114536733702650233023<39>
10728951295727690102209746621884683736435695534177888595486933153914001471840926288450159<89>
factorization results 素因数分解の結果
Number: 79991_154
N=4956126968245544840829612126947542016537069480457201107807317941718490806281289773378008927417668578515244674558217734871400657
  ( 127 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=461939553236586484114536733702650233023 (pp39)
 r2=10728951295727690102209746621884683736435695534177888595486933153914001471840926288450159 (pp89)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 18.01 hours.
Scaled time: 38.75 units (timescale=2.151).
Factorization parameters were as follows:
n: 4956126968245544840829612126947542016537069480457201107807317941718490806281289773378008927417668578515244674558217734871400657
m: 10000000000000000000000000000000
c5: 4
c0: -45
skew: 1.62
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:216516, largePrimes:5592938 encountered
Relations: rels:5575870, finalFF:574005
Max relations in full relation-set: 28
Initial matrix: 433396 x 574005 with sparse part having weight 43815050.
Pruned matrix : 340472 x 342702 with weight 27481926.
Total sieving time: 17.33 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.57 hours.
Time per square root: 0.04 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: 18.01 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 8178280k/8912896k available (2434k kernel code, 208060k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 4812.90 BogoMIPS (lpj=2406451)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405121)
execution environment 実行環境
Core 2 Quad Q6600

8×10155-9

c125

name 名前Robert Backstrom
date 日付January 14, 2008 01:33:00 UTC 2008 年 1 月 14 日 (月) 10 時 33 分 0 秒 (日本時間)
composite number 合成数
13307551969707221571977311703859581448957075667696835065435088423329756785390728590584789548883099241764794321609917108167391<125>
prime factors 素因数
630937457078491523522125157973689<33>
21091713323420107009957029361942912268853049172167108976864637180884556752573488461477765719<92>
factorization results 素因数分解の結果
GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 13307551969707221571977311703859581448957075667696835065435088423329756785390728590584789548883099241764794321609917108167391 (125 digits)
Using B1=1358000, B2=1298392101, polynomial Dickson(6), sigma=3048894762
Step 1 took 11139ms
Step 2 took 5718ms
********** Factor found in step 2: 630937457078491523522125157973689
Found probable prime factor of 33 digits: 630937457078491523522125157973689
Probable prime cofactor 21091713323420107009957029361942912268853049172167108976864637180884556752573488461477765719 has 92 digits

8×10156-9

c153

name 名前Robert Backstrom
date 日付January 15, 2008 17:29:09 UTC 2008 年 1 月 16 日 (水) 2 時 29 分 9 秒 (日本時間)
composite number 合成数
615337281747557880163064379663102838243212060610722252134451196061841396815629566956387970156141835243442812091377586339512345204215060379970771479116991<153>
prime factors 素因数
1295988165151587695336675852925431<34>
474801621105532083834700125189778681342962201400810891482867919304452802278015894667986382020302929101025045361916944761<120>
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 615337281747557880163064379663102838243212060610722252134451196061841396815629566956387970156141835243442812091377586339512345204215060379970771479116991 (153 digits)
Using B1=2822000, B2=3681400199, polynomial Dickson(6), sigma=3560430649
Step 1 took 45078ms
Step 2 took 22500ms
********** Factor found in step 2: 1295988165151587695336675852925431
Found probable prime factor of 34 digits: 1295988165151587695336675852925431
Probable prime cofactor 474801621105532083834700125189778681342962201400810891482867919304452802278015894667986382020302929101025045361916944761 has 120 digits

8×10158-9

c128

name 名前Jo Yeong Uk
date 日付January 13, 2008 01:24:54 UTC 2008 年 1 月 13 日 (日) 10 時 24 分 54 秒 (日本時間)
composite number 合成数
12107959852864634935350511771402524893502003618521572962292227255615797033451182979180007351560920602375869138394307791363584017<128>
prime factors 素因数
410562561244534563981430142949031<33>
composite cofactor 合成数の残り
29491144580163096639800559468991908217808992070869327114070748537704128510842764288695820636807<95>
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 12107959852864634935350511771402524893502003618521572962292227255615797033451182979180007351560920602375869138394307791363584017 (128 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2488992415
Step 1 took 6645ms
Step 2 took 4166ms
********** Factor found in step 2: 410562561244534563981430142949031
Found probable prime factor of 33 digits: 410562561244534563981430142949031
Composite cofactor 29491144580163096639800559468991908217808992070869327114070748537704128510842764288695820636807 has 95 digits
execution environment 実行環境
Core 2 Quad Q6600

c95

name 名前Jo Yeong Uk
date 日付January 13, 2008 23:30:38 UTC 2008 年 1 月 14 日 (月) 8 時 30 分 38 秒 (日本時間)
composite number 合成数
29491144580163096639800559468991908217808992070869327114070748537704128510842764288695820636807<95>
prime factors 素因数
46763860302718914140271163284841847599644741791<47>
630639651843465146374746113429199687582690077977<48>
factorization results 素因数分解の結果
Sun Jan 13 22:37:33 2008  
Sun Jan 13 22:37:33 2008  
Sun Jan 13 22:37:33 2008  Msieve v. 1.32
Sun Jan 13 22:37:33 2008  random seeds: 22de54b1 e3793a1d
Sun Jan 13 22:37:33 2008  factoring 29491144580163096639800559468991908217808992070869327114070748537704128510842764288695820636807 (95 digits)
Sun Jan 13 22:37:34 2008  no P-1/P+1/ECM available, skipping
Sun Jan 13 22:37:34 2008  commencing quadratic sieve (95-digit input)
Sun Jan 13 22:37:34 2008  using multiplier of 23
Sun Jan 13 22:37:34 2008  using 32kb Intel Core sieve core
Sun Jan 13 22:37:34 2008  sieve interval: 36 blocks of size 32768
Sun Jan 13 22:37:34 2008  processing polynomials in batches of 6
Sun Jan 13 22:37:34 2008  using a sieve bound of 2117419 (78824 primes)
Sun Jan 13 22:37:34 2008  using large prime bound of 309143174 (28 bits)
Sun Jan 13 22:37:34 2008  using double large prime bound of 1915522827320368 (43-51 bits)
Sun Jan 13 22:37:34 2008  using trial factoring cutoff of 51 bits
Sun Jan 13 22:37:34 2008  polynomial 'A' values have 12 factors
Mon Jan 14 02:03:04 2008  79124 relations (19503 full + 59621 combined from 1162555 partial), need 78920
Mon Jan 14 02:03:05 2008  begin with 1182058 relations
Mon Jan 14 02:03:06 2008  reduce to 205345 relations in 12 passes
Mon Jan 14 02:03:06 2008  attempting to read 205345 relations
Mon Jan 14 02:03:07 2008  recovered 205345 relations
Mon Jan 14 02:03:07 2008  recovered 189496 polynomials
Mon Jan 14 02:03:08 2008  attempting to build 79124 cycles
Mon Jan 14 02:03:08 2008  found 79122 cycles in 5 passes
Mon Jan 14 02:03:08 2008  distribution of cycle lengths:
Mon Jan 14 02:03:08 2008     length 1 : 19503
Mon Jan 14 02:03:08 2008     length 2 : 13950
Mon Jan 14 02:03:08 2008     length 3 : 13238
Mon Jan 14 02:03:08 2008     length 4 : 10765
Mon Jan 14 02:03:08 2008     length 5 : 8092
Mon Jan 14 02:03:08 2008     length 6 : 5469
Mon Jan 14 02:03:08 2008     length 7 : 3396
Mon Jan 14 02:03:08 2008     length 9+: 4709
Mon Jan 14 02:03:08 2008  largest cycle: 21 relations
Mon Jan 14 02:03:08 2008  matrix is 78824 x 79122 with weight 5358756 (avg 67.73/col)
Mon Jan 14 02:03:08 2008  filtering completed in 3 passes
Mon Jan 14 02:03:08 2008  matrix is 75111 x 75175 with weight 5115448 (avg 68.05/col)
Mon Jan 14 02:03:10 2008  saving the first 48 matrix rows for later
Mon Jan 14 02:03:10 2008  matrix is 75063 x 75175 with weight 4227524 (avg 56.24/col)
Mon Jan 14 02:03:10 2008  matrix includes 64 packed rows
Mon Jan 14 02:03:10 2008  using block size 30070 for processor cache size 4096 kB
Mon Jan 14 02:03:12 2008  commencing Lanczos iteration
Mon Jan 14 02:03:40 2008  lanczos halted after 1188 iterations (dim = 75062)
Mon Jan 14 02:03:40 2008  recovered 17 nontrivial dependencies
Mon Jan 14 02:03:41 2008  prp47 factor: 46763860302718914140271163284841847599644741791
Mon Jan 14 02:03:41 2008  prp48 factor: 630639651843465146374746113429199687582690077977
Mon Jan 14 02:03:41 2008  elapsed time 03:26:08
execution environment 実行環境
Core 2 Quad Q6600

8×10160-9

c155

name 名前Robert Backstrom
date 日付January 13, 2008 22:55:44 UTC 2008 年 1 月 14 日 (月) 7 時 55 分 44 秒 (日本時間)
composite number 合成数
45216567576442846541186923594739730610994521447631019243605953439369952347389845376295101406630896593666402338148709377859594644775819083991469894526704057<155>
prime factors 素因数
162324131850327948485434438093621716953<39>
278557273407351934069599866763595027872975703442508848781459154897177077473859196381772941462840739464361826004563169<117>
factorization results 素因数分解の結果
GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 45216567576442846541186923594739730610994521447631019243605953439369952347389845376295101406630896593666402338148709377859594644775819083991469894526704057 (155 digits)
Using B1=460000, B2=277673296, polynomial Dickson(3), sigma=2066832104
Step 1 took 5645ms
********** Factor found in step 1: 162324131850327948485434438093621716953
Found probable prime factor of 39 digits: 162324131850327948485434438093621716953
Probable prime cofactor 278557273407351934069599866763595027872975703442508848781459154897177077473859196381772941462840739464361826004563169 has 117 digits

8×10161-9

c144

name 名前Jo Yeong Uk
date 日付January 13, 2008 01:22:00 UTC 2008 年 1 月 13 日 (日) 10 時 22 分 0 秒 (日本時間)
composite number 合成数
143452652661665484549399267898399159196238183769440179918594853403413166828309976499180376223609559749784826858716550659750951672510914551500151<144>
prime factors 素因数
428383815004193749871857607077279<33>
334869450332200636093078292799339933789697545275221769023019937305594987180395275406031737563279818152065360169<111>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM]
Input number is 143452652661665484549399267898399159196238183769440179918594853403413166828309976499180376223609559749784826858716550659750951672510914551500151 (144 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4020806271
Step 1 took 7167ms
Step 2 took 4540ms
********** Factor found in step 2: 428383815004193749871857607077279
Found probable prime factor of 33 digits: 428383815004193749871857607077279
Probable prime cofactor 334869450332200636093078292799339933789697545275221769023019937305594987180395275406031737563279818152065360169 has 111 digits
execution environment 実行環境
Core 2 Quad Q6600

8×10162-9

c86

name 名前Sinkiti Sibata
date 日付January 13, 2008 06:09:53 UTC 2008 年 1 月 13 日 (日) 15 時 9 分 53 秒 (日本時間)
composite number 合成数
96989439330478405638385934491360121476455014414443770871154615953823073607951988985367<86>
prime factors 素因数
29004454390043890346738171836159<32>
3343949795648324158059774855467139266458728235931156713<55>
factorization results 素因数分解の結果
Sun Jan 13 08:25:03 2008  Msieve v. 1.30
Sun Jan 13 08:25:03 2008  random seeds: 4905ce6d 0961e9c8
Sun Jan 13 08:25:03 2008  factoring 96989439330478405638385934491360121476455014414443770871154615953823073607951988985367 (86 digits)
Sun Jan 13 08:25:04 2008  commencing quadratic sieve (86-digit input)
Sun Jan 13 08:25:04 2008  using multiplier of 1
Sun Jan 13 08:25:04 2008  using 64kb Pentium 2 sieve core
Sun Jan 13 08:25:04 2008  sieve interval: 9 blocks of size 65536
Sun Jan 13 08:25:05 2008  processing polynomials in batches of 12
Sun Jan 13 08:25:05 2008  using a sieve bound of 1466767 (56000 primes)
Sun Jan 13 08:25:05 2008  using large prime bound of 117341360 (26 bits)
Sun Jan 13 08:25:05 2008  using double large prime bound of 334974615074720 (41-49 bits)
Sun Jan 13 08:25:05 2008  using trial factoring cutoff of 49 bits
Sun Jan 13 08:25:05 2008  polynomial 'A' values have 11 factors
Sun Jan 13 14:10:11 2008  56141 relations (16063 full + 40078 combined from 585521 partial), need 56096
Sun Jan 13 14:10:16 2008  begin with 601584 relations
Sun Jan 13 14:10:23 2008  reduce to 133024 relations in 9 passes
Sun Jan 13 14:10:23 2008  attempting to read 133024 relations
Sun Jan 13 14:10:32 2008  recovered 133024 relations
Sun Jan 13 14:10:32 2008  recovered 109251 polynomials
Sun Jan 13 14:10:58 2008  attempting to build 56141 cycles
Sun Jan 13 14:10:58 2008  found 56141 cycles in 5 passes
Sun Jan 13 14:11:02 2008  distribution of cycle lengths:
Sun Jan 13 14:11:02 2008     length 1 : 16063
Sun Jan 13 14:11:02 2008     length 2 : 11348
Sun Jan 13 14:11:02 2008     length 3 : 9829
Sun Jan 13 14:11:02 2008     length 4 : 7247
Sun Jan 13 14:11:02 2008     length 5 : 4933
Sun Jan 13 14:11:02 2008     length 6 : 3080
Sun Jan 13 14:11:02 2008     length 7 : 1688
Sun Jan 13 14:11:02 2008     length 9+: 1953
Sun Jan 13 14:11:02 2008  largest cycle: 20 relations
Sun Jan 13 14:11:04 2008  matrix is 56000 x 56141 with weight 3038483 (avg 54.12/col)
Sun Jan 13 14:11:08 2008  filtering completed in 4 passes
Sun Jan 13 14:11:09 2008  matrix is 51087 x 51151 with weight 2800152 (avg 54.74/col)
Sun Jan 13 14:11:11 2008  saving the first 48 matrix rows for later
Sun Jan 13 14:11:12 2008  matrix is 51039 x 51151 with weight 2114035 (avg 41.33/col)
Sun Jan 13 14:11:12 2008  matrix includes 64 packed rows
Sun Jan 13 14:11:12 2008  using block size 10922 for processor cache size 256 kB
Sun Jan 13 14:11:14 2008  commencing Lanczos iteration
Sun Jan 13 14:13:38 2008  lanczos halted after 809 iterations (dim = 51034)
Sun Jan 13 14:13:39 2008  recovered 15 nontrivial dependencies
Sun Jan 13 14:14:05 2008  prp32 factor: 29004454390043890346738171836159
Sun Jan 13 14:14:05 2008  prp55 factor: 3343949795648324158059774855467139266458728235931156713
Sun Jan 13 14:14:05 2008  elapsed time 05:49:02
execution environment 実行環境
Pentium3 750MHz,  Windows Me)

8×10164-9

c117

name 名前Jo Yeong Uk
date 日付January 15, 2008 23:27:58 UTC 2008 年 1 月 16 日 (水) 8 時 27 分 58 秒 (日本時間)
composite number 合成数
842695872453016151605622018022638106849233137887964461947572705754837909988138005741669220163798173899089414403453017<117>
prime factors 素因数
308636832720759777975330569373913552783<39>
2730380120299666574824672795496309223735144601900062623583012669777090797192599<79>
factorization results 素因数分解の結果
Number: 79991_164
N=842695872453016151605622018022638106849233137887964461947572705754837909988138005741669220163798173899089414403453017
  ( 117 digits)
Divisors found:
 r1=308636832720759777975330569373913552783 (pp39)
 r2=2730380120299666574824672795496309223735144601900062623583012669777090797192599 (pp79)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 32.49 hours.
Scaled time: 69.91 units (timescale=2.152).
Factorization parameters were as follows:
name: 79991_164
n: 842695872453016151605622018022638106849233137887964461947572705754837909988138005741669220163798173899089414403453017
skew: 39822.29
# norm 1.28e+16
c5: 53100
c4: -1234949190
c3: -584057431279291
c2: 113539236838916353
c1: 172914044835050143787073
c0: 1186521124802802637136030280
# alpha -5.74
Y1: 3702589636013
Y0: -27549615417740198203969
# Murphy_E 4.20e-10
# M 398711343419018151458526581075477856479282773180178871103100914140391572713644277776727739442770855281441383627371216
type: gnfs
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 75000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [2250000, 3825001)
Primes: RFBsize:315948, AFBsize:317384, largePrimes:7631001 encountered
Relations: rels:7736677, finalFF:795523
Max relations in full relation-set: 28
Initial matrix: 633411 x 795523 with sparse part having weight 61742503.
Pruned matrix : 492974 x 496205 with weight 35425385.
Polynomial selection time: 1.75 hours.
Total sieving time: 29.00 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.41 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
gnfs,116,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.4,2.4,75000
total time: 32.49 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 8178280k/8912896k available (2434k kernel code, 208060k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 4812.90 BogoMIPS (lpj=2406451)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405121)
execution environment 実行環境
Core 2 Quad Q6600

8×10165-9

c164

name 名前Robert Backstrom
date 日付January 13, 2008 23:28:30 UTC 2008 年 1 月 14 日 (月) 8 時 28 分 30 秒 (日本時間)
composite number 合成数
28469750889679715302491103202846975088967971530249110320284697508896797153024911032028469750889679715302491103202846975088967971530249110320284697508896797153024911<164>
prime factors 素因数
18039899370116253132365185259<29>
1578154639645101849715900601142746848194561974023738373087552898239995805944710078341227436286841880064814566233260954631456666425083629<136>
factorization results 素因数分解の結果
GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 28469750889679715302491103202846975088967971530249110320284697508896797153024911032028469750889679715302491103202846975088967971530249110320284697508896797153024911 (164 digits)
Using B1=508000, B2=319854609, polynomial Dickson(3), sigma=1694339146
Step 1 took 6262ms
Step 2 took 2839ms
********** Factor found in step 2: 18039899370116253132365185259
Found probable prime factor of 29 digits: 18039899370116253132365185259
Probable prime cofactor 1578154639645101849715900601142746848194561974023738373087552898239995805944710078341227436286841880064814566233260954631456666425083629 has 136 digits

8×10167-9

c140

name 名前Robert Backstrom
date 日付February 9, 2008 03:01:31 UTC 2008 年 2 月 9 日 (土) 12 時 1 分 31 秒 (日本時間)
composite number 合成数
39488981809017055747162623591394648967375332659252902108788421953271109231630813292581351977307557219918406277967262785656760741402330612249<140>
prime factors 素因数
328122692405400099376586451015551<33>
120348219501465859000916415860703533989146155732677824787903392809000729377628019185401396804542816303837799<108>
factorization results 素因数分解の結果
GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 39488981809017055747162623591394648967375332659252902108788421953271109231630813292581351977307557219918406277967262785656760741402330612249 (140 digits)
Using B1=726000, B2=531991816, polynomial Dickson(3), sigma=2355788295
Step 1 took 7372ms
Step 2 took 4057ms
********** Factor found in step 2: 328122692405400099376586451015551
Found probable prime factor of 33 digits: 328122692405400099376586451015551
Probable prime cofactor 120348219501465859000916415860703533989146155732677824787903392809000729377628019185401396804542816303837799 has 108 digits

8×10168-9

c145

name 名前Robert Backstrom
date 日付July 21, 2008 02:59:29 UTC 2008 年 7 月 21 日 (月) 11 時 59 分 29 秒 (日本時間)
composite number 合成数
2787224926293575534663953848834295056925125529822509299870571408485875014665190039863959156312828009389084493476356617788753739536968981764174801<145>
prime factors 素因数
11681215841603794478271720614912632360063687<44>
238607433000818367820061770438598453100921190268658947143978441159074725390668672932146359772318330023<102>
factorization results 素因数分解の結果
Number: n
N=2787224926293575534663953848834295056925125529822509299870571408485875014665190039863959156312828009389084493476356617788753739536968981764174801
  ( 145 digits)
SNFS difficulty: 168 digits.
Divisors found:

Mon Jul 21 11:20:53 2008  prp44 factor: 11681215841603794478271720614912632360063687
Mon Jul 21 11:20:53 2008  prp102 factor: 238607433000818367820061770438598453100921190268658947143978441159074725390668672932146359772318330023
Mon Jul 21 11:20:53 2008  elapsed time 02:05:02 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 43.83 hours.
Scaled time: 79.91 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_7_9_167_1
n: 2787224926293575534663953848834295056925125529822509299870571408485875014665190039863959156312828009389084493476356617788753739536968981764174801
skew: 0.51
deg: 5
c5: 250
c0: -9
m: 2000000000000000000000000000000000
type: snfs
rlim: 5800000
alim: 5800000
lpbr: 28
lpba: 28
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 50/50
Sieved  special-q in [100000, 2500001)
Primes: RFBsize:399993, AFBsize:399254, largePrimes:9743482 encountered
Relations: rels:9275445, finalFF:825351
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 43.56 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,50,50,2.5,2.5,100000
total time: 43.83 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

8×10169-9

c112

name 名前Sinkiti Sibata
date 日付January 18, 2008 22:43:36 UTC 2008 年 1 月 19 日 (土) 7 時 43 分 36 秒 (日本時間)
composite number 合成数
6069722772332613766716520417588435051267558844262481968159500137499985223028918430208947236222098739972967006361<112>
prime factors 素因数
4793749476605961545931498988840397341<37>
1266174380191027066904884727886512981316500532551514322249230638281825634221<76>
factorization results 素因数分解の結果
Number: 79991_169
N=6069722772332613766716520417588435051267558844262481968159500137499985223028918430208947236222098739972967006361
  ( 112 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=4793749476605961545931498988840397341 (pp37)
 r2=1266174380191027066904884727886512981316500532551514322249230638281825634221 (pp76)
Version: GGNFS-0.77.1-20060513-k8
Total time: 146.83 hours.
Scaled time: 292.79 units (timescale=1.994).
Factorization parameters were as follows:
name: 79991_169
n: 6069722772332613766716520417588435051267558844262481968159500137499985223028918430208947236222098739972967006361
m: 10000000000000000000000000000000000
c5: 4
c0: -45
skew: 1.62
type: snfs
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3000000, 7300001)
Primes: RFBsize:412849, AFBsize:412326, largePrimes:6069244 encountered
Relations: rels:6343174, finalFF:937345
Max relations in full relation-set: 28
Initial matrix: 825239 x 937345 with sparse part having weight 55828427.
Pruned matrix : 731366 x 735556 with weight 41378296.
Total sieving time: 140.28 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 6.01 hours.
Time per square root: 0.26 hours.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,48,48,2.6,2.6,100000
total time: 146.83 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

8×10173-9

c137

name 名前Serge Batalov
date 日付August 7, 2008 16:59:47 UTC 2008 年 8 月 8 日 (金) 1 時 59 分 47 秒 (日本時間)
composite number 合成数
40706216637891801023383677458287837234234444819005492747922089441206704748823416076441419769190328580327663204620935791812058613888241971<137>
prime factors 素因数
23660900021573994987453189462396384397709<41>
1720400179231385795985452436310629205021018478432220686288060649998543845046452046194341069059519<97>
factorization results 素因数分解の結果
Using B1=5000000, B2=23417929090, polynomial Dickson(12), sigma=3442877901
Step 1 took 23954ms
Step 2 took 14701ms
********** Factor found in step 2: 23660900021573994987453189462396384397709
Found probable prime factor of 41 digits: 23660900021573994987453189462396384397709
Probable prime cofactor 1720400179231385795985452436310629205021018478432220686288060649998543845046452046194341069059519 has 97 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 12, 2008 09:00:00 UTC 2008 年 1 月 12 日 (土) 18 時 0 分 0 秒 (日本時間)

8×10174-9

c134

name 名前Serge Batalov
date 日付August 28, 2008 19:19:05 UTC 2008 年 8 月 29 日 (金) 4 時 19 分 5 秒 (日本時間)
composite number 合成数
58777094517895553055443636290720472741426662661620618496991654506041782449059602630183910769281040786742763179523713820834726756239431<134>
prime factors 素因数
451656251742733916273683704772193<33>
composite cofactor 合成数の残り
130136789408099093943642895529280422128901086592792253560350069883955602104627506623059801699443142567<102>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=1366989160
Step 1 took 10130ms
Step 2 took 6967ms
********** Factor found in step 2: 451656251742733916273683704772193
Found probable prime factor of 33 digits: 451656251742733916273683704772193
Composite cofactor 130136789408099093943642895529280422128901086592792253560350069883955602104627506623059801699443142567 has 102 digits
software ソフトウェア
GMP-ECM 6.2.1

c102

name 名前Jo Yeong Uk
date 日付August 29, 2008 23:47:26 UTC 2008 年 8 月 30 日 (土) 8 時 47 分 26 秒 (日本時間)
composite number 合成数
130136789408099093943642895529280422128901086592792253560350069883955602104627506623059801699443142567<102>
prime factors 素因数
592251998082554341409369753785202370375115807<45>
219732123875349514938455918437129730022904144914165154681<57>
factorization results 素因数分解の結果
Number: 79991_174
N=130136789408099093943642895529280422128901086592792253560350069883955602104627506623059801699443142567
  ( 102 digits)
Divisors found:
 r1=592251998082554341409369753785202370375115807 (pp45)
 r2=219732123875349514938455918437129730022904144914165154681 (pp57)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 4.00 hours.
Scaled time: 9.56 units (timescale=2.392).
Factorization parameters were as follows:
name: 79991_174
n: 130136789408099093943642895529280422128901086592792253560350069883955602104627506623059801699443142567
skew: 10873.83
# norm 5.58e+13
c5: 8280
c4: -265261398
c3: -736553682108
c2: 6989101037039633
c1: -128237153725381623216
c0: 63440594100681936495345
# alpha -5.23
Y1: 31466063483
Y0: -27496482160245593002
# Murphy_E 2.83e-09
# M 12646438619583911536750972380335684031448376564007326365424264391297480438938008412765721828969481049
type: gnfs
rlim: 1500000
alim: 1500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [750000, 1350001)
Primes: RFBsize:114155, AFBsize:113556, largePrimes:4385038 encountered
Relations: rels:4331759, finalFF:321559
Max relations in full relation-set: 28
Initial matrix: 227790 x 321559 with sparse part having weight 27654118.
Pruned matrix : 180096 x 181298 with weight 12977876.
Polynomial selection time: 0.31 hours.
Total sieving time: 3.46 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,101,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,26,26,49,49,2.6,2.6,50000
total time: 4.00 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.. 5347.59 BogoMIPS (lpj=2673799)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)
Calibrating delay using timer specific routine.. 5344.51 BogoMIPS (lpj=2672259)
Calibrating delay using timer specific routine.. 5344.70 BogoMIPS (lpj=2672350)
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 12, 2008 09:00:00 UTC 2008 年 1 月 12 日 (土) 18 時 0 分 0 秒 (日本時間)

8×10177-9

c142

name 名前Warut Roonguthai
date 日付January 31, 2012 18:51:45 UTC 2012 年 2 月 1 日 (水) 3 時 51 分 45 秒 (日本時間)
composite number 合成数
1895809749983499223161378577449224665212472266584637468844805660555251310499427442938674150441702844483801295587373610858903385027721199325859<142>
prime factors 素因数
293404665016948568264301967590385417545820782950131890352575649<63>
6461416521356221327173118082655938446851161197468240636540461926587279552388291<79>
factorization results 素因数分解の結果
N = 1895809749983499223161378577449224665212472266584637468844805660555251310499427442938674150441702844483801295587373610858903385027721199325859 (142 digits)
SNFS difficulty: 178 digits.
Divisors found:
r1=293404665016948568264301967590385417545820782950131890352575649 (pp63)
r2=6461416521356221327173118082655938446851161197468240636540461926587279552388291 (pp79)
Version: Msieve v. 1.48
Total time: 32.50 hours.
Factorization parameters were as follows:
name: 8*10^177-9
n: 1895809749983499223161378577449224665212472266584637468844805660555251310499427442938674150441702844483801295587373610858903385027721199325859
Y0: 200000000000000000000000000000000000
Y1: -1
c0: -9
c1: 0
c2: 0
c3: 0
c4: 0
c5: 25
skew: 0.82
type: snfs
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 20532171
Relations: 2351730 relations
Pruned matrix : 1356124 x 1356347
Polynomial selection time: 0.00 hours.
Total sieving time: 29.95 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.37 hours.
time per square root: 0.06 hours.
Prototype def-par.txt line would be: snfs,178,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,55,55,2.5,2.5,100000
total time: 32.50 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 KamadaJanuary 12, 2008 09:00:00 UTC 2008 年 1 月 12 日 (土) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 23, 2010 12:40:20 UTC 2010 年 10 月 23 日 (土) 21 時 40 分 20 秒 (日本時間)
403e62144110Ignacio SantosOctober 23, 2010 12:40:20 UTC 2010 年 10 月 23 日 (土) 21 時 40 分 20 秒 (日本時間)
2034Wataru SakaiNovember 8, 2011 13:41:35 UTC 2011 年 11 月 8 日 (火) 22 時 41 分 35 秒 (日本時間)
4511e632 / 3991Ignacio SantosOctober 23, 2010 12:40:20 UTC 2010 年 10 月 23 日 (土) 21 時 40 分 20 秒 (日本時間)

8×10180-9

c181

name 名前Jo Yeong Uk
date 日付January 15, 2008 09:28:29 UTC 2008 年 1 月 15 日 (火) 18 時 28 分 29 秒 (日本時間)
composite number 合成数
7999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991<181>
prime factors 素因数
826115977894170609050375729157582021497<39>
composite cofactor 合成数の残り
9683870320959750397301131599191235511655411576027658067144718311274518875633720728729028560156827649352670707054841461900759820696819277771503<142>
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 7999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991 (181 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1512967684
Step 1 took 30065ms
Step 2 took 13766ms
********** Factor found in step 2: 826115977894170609050375729157582021497
Found probable prime factor of 39 digits: 826115977894170609050375729157582021497
Composite cofactor 9683870320959750397301131599191235511655411576027658067144718311274518875633720728729028560156827649352670707054841461900759820696819277771503 has 142 digits
execution environment 実行環境
Core 2 Quad Q6600

c142

name 名前matsui
date 日付May 19, 2009 09:05:35 UTC 2009 年 5 月 19 日 (火) 18 時 5 分 35 秒 (日本時間)
composite number 合成数
9683870320959750397301131599191235511655411576027658067144718311274518875633720728729028560156827649352670707054841461900759820696819277771503<142>
prime factors 素因数
9990207070327391855783197701498143287718371662893791939986474480751<67>
969336296313865853470535064289775123620533028668230038800912477861614266753<75>
factorization results 素因数分解の結果
N=9683870320959750397301131599191235511655411576027658067144718311274518875633720728729028560156827649352670707054841461900759820696819277771503
  ( 142 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=9990207070327391855783197701498143287718371662893791939986474480751 (pp67)
 r2=969336296313865853470535064289775123620533028668230038800912477861614266753 (pp75)
Version: Msieve v. 1.41
Total time: 110.65 hours.
Scaled time: 244.98 units (timescale=2.214).
Factorization parameters were as follows:
n: 9683870320959750397301131599191235511655411576027658067144718311274518875633720728729028560156827649352670707054841461900759820696819277771503
m: 1000000000000000000000000000000000000
deg: 5
c5: 8
c0: -9
skew: 1.02
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 200000
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3600000, 5400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1294696 x 1294944
Total sieving time: 106.54 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 3.78 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,180.000,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,53,53,2.5,2.5,100000
total time: 110.65 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 12, 2008 09:00:00 UTC 2008 年 1 月 12 日 (土) 18 時 0 分 0 秒 (日本時間)

8×10184-9

c124

name 名前Robert Backstrom
date 日付January 26, 2008 07:33:14 UTC 2008 年 1 月 26 日 (土) 16 時 33 分 14 秒 (日本時間)
composite number 合成数
4384711777461565784803384687874456763494987318315312396353725368258140022068040969152453049616686236091674817544155602180639<124>
prime factors 素因数
16036893578982114464326470006735731329<38>
273414034698599650866625624274832254903897139353621479873467317551382470700435628639391<87>
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 4384711777461565784803384687874456763494987318315312396353725368258140022068040969152453049616686236091674817544155602180639 (124 digits)
Using B1=1836000, B2=1995353410, polynomial Dickson(6), sigma=2743095310
Step 1 took 19828ms
********** Factor found in step 1: 16036893578982114464326470006735731329
Found probable prime factor of 38 digits: 16036893578982114464326470006735731329
Probable prime cofactor 273414034698599650866625624274832254903897139353621479873467317551382470700435628639391 has 87 digits

8×10186-9

c164

name 名前Rich Dickerson
date 日付April 18, 2014 13:42:35 UTC 2014 年 4 月 18 日 (金) 22 時 42 分 35 秒 (日本時間)
composite number 合成数
62530061002747587666251464991565903659267763208907604705967016038102132403369999133804719711007850582072044273238448440030480087924216682502719976570593580442803001<164>
prime factors 素因数
7792689731598829239462487148882553000521530686313<49>
8024194874485047703519917845528012680760042092666387174497595573580873743456741120481696442116176478200628281751377<115>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2999268530
Step 1 took 25871ms
Step 2 took 8695ms
********** Factor found in step 2: 7792689731598829239462487148882553000521530686313
Found probable prime factor of 49 digits: 7792689731598829239462487148882553000521530686313
Probable prime cofactor 8024194874485047703519917845528012680760042092666387174497595573580873743456741120481696442116176478200628281751377 has 115 digits
software ソフトウェア
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
execution environment 実行環境
Core-i5, 3.2 GHz, OpenSUSE

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 12, 2008 09:00:00 UTC 2008 年 1 月 12 日 (土) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 23, 2010 12:40:52 UTC 2010 年 10 月 23 日 (土) 21 時 40 分 52 秒 (日本時間)
403e61410 / 2144110Ignacio SantosOctober 23, 2010 12:40:52 UTC 2010 年 10 月 23 日 (土) 21 時 40 分 52 秒 (日本時間)
1000Dmitry DomanovFebruary 10, 2012 12:16:10 UTC 2012 年 2 月 10 日 (金) 21 時 16 分 10 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:03:30 UTC 2014 年 1 月 9 日 (木) 14 時 3 分 30 秒 (日本時間)
4511e632 / 4153Ignacio SantosOctober 23, 2010 12:40:52 UTC 2010 年 10 月 23 日 (土) 21 時 40 分 52 秒 (日本時間)

8×10188-9

c173

name 名前Kenji Ibusuki
date 日付March 23, 2018 14:22:42 UTC 2018 年 3 月 23 日 (金) 23 時 22 分 42 秒 (日本時間)
composite number 合成数
12361081769315232268117296647687104334038465864802728862498387960929570587292257900901705308341430995588150830938335205638071300453473096833148894389249970975564917087181959<173>
prime factors 素因数
24708429609994175097734154407390913318412121051201351269847898750755065188688709610697<86>
500277919901286123788847387177898953814010750877712565143716310335071116668731990013647<87>
factorization results 素因数分解の結果
Number: 79991_188
N=12361081769315232268117296647687104334038465864802728862498387960929570587292257900901705308341430995588150830938335205638071300453473096833148894389249970975564917087181959
  ( 173 digits)
SNFS difficulty: 188 digits.
Divisors found: (Total dependency: 6)
 r1=24708429609994175097734154407390913318412121051201351269847898750755065188688709610697 (pp86)
 r2=500277919901286123788847387177898953814010750877712565143716310335071116668731990013647 (pp87)
Msieve version: Msieve v. 1.49 (SVN unknown)
GGNFS version: GGNFS-0.77.1-VC8(UTE)
Total time: 266.25 hours (14.15 calendar hours).
Scaled time: 1202.10 units (timescale=4.515).
Factorization parameters were as follows:
n: 12361081769315232268117296647687104334038465864802728862498387960929570587292257900901705308341430995588150830938335205638071300453473096833148894389249970975564917087181959
m: 20000000000000000000000000000000000000
deg: 5
c5: 250
c0: -9
skew: 0.51
# Murphy_E = 5.219e-11
type: snfs
lss: 1
rlim: 9900000
alim: 9900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
relslim: 28300000
qintsize: 5000

Polynomial score was as follows:
skew 0.51, size 4.789e-013, alpha -0.042, combined = 5.219e-011 rroots = 1
Factor base limits: 9900000/9900000
Large primes per side: 3
Large prime bits: 28/28
Sieved special-q in [4950000, 19240001)
Relations: raw-rels:28556318 rels:25123799, finalFF:1425398
Pruned matrix : 1424949 x 1425174
Total sieving time: 257.82 hours (12.62 calendar hours).
Total relation processing time: 0.11 hours.
Total matrix build processing time: 0.04 hours.
Matrix pruned processing time: (N/A)
Matrix solve time: 8.04 hours (1.15 calendar hours).
Total time of square root: 0.24 hours.
Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9900000,9900000,28,28,54,54,2.5,2.5,100000
total time: 266.25 hours (14.15 calendar hours).
 --------- CPU info (if available) ----------
software ソフトウェア
Msieve v. 1.49 (SVN unknown) + GGNFS-0.77.1-VC8 with 
factMsieve.pl (decomposed + modified) snfs
(without procrels.exe, matbuild.exe for "finalFF" calculation)
execution environment 実行環境
[Envilonment]
  PC #1   (Master) --- Intel Core i7 2600, 16GB RAM, Windows 7 64bit
  PC #2,3 (Slave)  --- Intel Core i7 4770, 16GB RAM, Windows 7 64bit
  PC #4   (Slave)  --- Intel Core 2 Quad Q6600, 4GB RAM, Windows Vista 32bit

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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 12, 2008 09:00:00 UTC 2008 年 1 月 12 日 (土) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 23, 2010 12:41:24 UTC 2010 年 10 月 23 日 (土) 21 時 41 分 24 秒 (日本時間)
403e61410110Ignacio SantosOctober 23, 2010 12:41:24 UTC 2010 年 10 月 23 日 (土) 21 時 41 分 24 秒 (日本時間)
1000Dmitry DomanovFebruary 10, 2012 12:16:18 UTC 2012 年 2 月 10 日 (金) 21 時 16 分 18 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:03:30 UTC 2014 年 1 月 9 日 (木) 14 時 3 分 30 秒 (日本時間)
4511e6732 / 415332Ignacio SantosOctober 23, 2010 12:41:24 UTC 2010 年 10 月 23 日 (土) 21 時 41 分 24 秒 (日本時間)
400Rich DickersonApril 18, 2014 14:47:53 UTC 2014 年 4 月 18 日 (金) 23 時 47 分 53 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:58 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 58 秒 (日本時間)

8×10189-9

c163

composite cofactor 合成数の残り
2591427364336719491235389806977115681555038614279184025366308696610268250530517408044902827364339063789302198421776397419940583459949469105359168620438392722790229<163>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 12, 2008 09:00:00 UTC 2008 年 1 月 12 日 (土) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 23, 2010 12:41:50 UTC 2010 年 10 月 23 日 (土) 21 時 41 分 50 秒 (日本時間)
403e61410110Ignacio SantosOctober 23, 2010 12:41:50 UTC 2010 年 10 月 23 日 (土) 21 時 41 分 50 秒 (日本時間)
1000Dmitry DomanovFebruary 10, 2012 12:16:27 UTC 2012 年 2 月 10 日 (金) 21 時 16 分 27 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:03:31 UTC 2014 年 1 月 9 日 (木) 14 時 3 分 31 秒 (日本時間)
4511e6932 / 415332Ignacio SantosOctober 23, 2010 12:41:50 UTC 2010 年 10 月 23 日 (土) 21 時 41 分 50 秒 (日本時間)
600Rich DickersonApril 20, 2014 17:38:17 UTC 2014 年 4 月 21 日 (月) 2 時 38 分 17 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:59 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 59 秒 (日本時間)

8×10190-9

c132

name 名前Wataru Sakai
date 日付April 21, 2009 14:35:24 UTC 2009 年 4 月 21 日 (火) 23 時 35 分 24 秒 (日本時間)
composite number 合成数
213129189683453389961000628060718872981881141020453419148869982057782017070240189509696996285702691786901846642105963989271361529209<132>
prime factors 素因数
5956694674603727915072852316779388032674317487<46>
35779774073720156830334101164802233650029559245191540826257705794588243741259881976407<86>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3143978648
Step 1 took 38905ms
Step 2 took 14275ms
********** Factor found in step 2: 5956694674603727915072852316779388032674317487
Found probable prime factor of 46 digits: 5956694674603727915072852316779388032674317487
Probable prime cofactor 35779774073720156830334101164802233650029559245191540826257705794588243741259881976407 has 86 digits
software ソフトウェア
GMP-ECM 6.2.1 [powered by GMP 4.2.4]

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 12, 2008 09:00:00 UTC 2008 年 1 月 12 日 (土) 18 時 0 分 0 秒 (日本時間)

8×10191-9

c192

name 名前Jo Yeong Uk
date 日付January 12, 2008 10:13:36 UTC 2008 年 1 月 12 日 (土) 19 時 13 分 36 秒 (日本時間)
composite number 合成数
799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991<192>
prime factors 素因数
2838215384488977187840273748749501<34>
composite cofactor 合成数の残り
281867262214153842659280716998882524780880662933308691584296839537167821919759679358142157019600539866645046737600020701546566244595946561032467565638861495491<159>
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 799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991 (192 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=301425253
Step 1 took 10124ms
Step 2 took 5864ms
********** Factor found in step 2: 2838215384488977187840273748749501
Found probable prime factor of 34 digits: 2838215384488977187840273748749501
Composite cofactor 281867262214153842659280716998882524780880662933308691584296839537167821919759679358142157019600539866645046737600020701546566244595946561032467565638861495491 has 159 digits
execution environment 実行環境
Core 2 Quad Q6600

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 12, 2008 09:00:00 UTC 2008 年 1 月 12 日 (土) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 23, 2010 12:42:17 UTC 2010 年 10 月 23 日 (土) 21 時 42 分 17 秒 (日本時間)
403e63135110Ignacio SantosOctober 23, 2010 12:42:17 UTC 2010 年 10 月 23 日 (土) 21 時 42 分 17 秒 (日本時間)
425Serge BatalovFebruary 8, 2012 03:32:07 UTC 2012 年 2 月 8 日 (水) 12 時 32 分 7 秒 (日本時間)
1000Dmitry DomanovFebruary 10, 2012 12:16:35 UTC 2012 年 2 月 10 日 (金) 21 時 16 分 35 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:03:32 UTC 2014 年 1 月 9 日 (木) 14 時 3 分 32 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:32 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 32 秒 (日本時間)
4511e632 / 3772Ignacio SantosOctober 23, 2010 12:42:17 UTC 2010 年 10 月 23 日 (土) 21 時 42 分 17 秒 (日本時間)

8×10193-9

c134

name 名前Sinkiti Sibata
date 日付May 23, 2009 10:23:31 UTC 2009 年 5 月 23 日 (土) 19 時 23 分 31 秒 (日本時間)
composite number 合成数
29565143646628214552910727018766282005163877039936094266740542090166082984748527095016519714301140410272311793378686931866644647702979<134>
prime factors 素因数
47530447988775454504196992466925654385332702204589<50>
622025352119764712028843316628216948512092949996598055244945354900245093351541822511<84>
factorization results 素因数分解の結果
Number: 79991_193
N=29565143646628214552910727018766282005163877039936094266740542090166082984748527095016519714301140410272311793378686931866644647702979
  ( 134 digits)
Divisors found:
 r1=47530447988775454504196992466925654385332702204589 (pp50)
 r2=622025352119764712028843316628216948512092949996598055244945354900245093351541822511 (pp84)
Version: Msieve-1.40
Total time: 379.04 hours.
Scaled time: 745.57 units (timescale=1.967).
Factorization parameters were as follows:
name: 79991_193
# Murphy_E = 4.630559e-11, selected by Jeff Gilchrist
n: 29565143646628214552910727018766282005163877039936094266740542090166082984748527095016519714301140410272311793378686931866644647702979
Y0: -57543593694049710599247587
Y1: 721718734872989
c0: -90368218213303982886078566019840
c1: 1320429414049798041363608796
c2: 8903540005306081349992
c3: -27320914772887363
c4: -61896802964
c5: 46860
skew: 386466.26
type: gnfs
# selected mechanically
rlim: 12100000
alim: 12100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 12100000/12100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved algebraic special-q in [6050000, 14950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1834899 x 1835147
Total sieving time: 379.04 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,133,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,12100000,12100000,28,28,54,54,2.6,2.6,100000
total time: 379.04 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 12, 2008 09:00:00 UTC 2008 年 1 月 12 日 (土) 18 時 0 分 0 秒 (日本時間)

8×10195-9

c120

name 名前Jo Yeong Uk
date 日付January 15, 2008 11:37:24 UTC 2008 年 1 月 15 日 (火) 20 時 37 分 24 秒 (日本時間)
composite number 合成数
289152639342099837888483610372205841741065603401564385865244805557227055217439830370907560198999823078735969567635686951<120>
prime factors 素因数
19119580804026448034824934992231<32>
15123377562818027057411188140424291585847836807190418568871815626881749196170735312717121<89>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM]
Input number is 289152639342099837888483610372205841741065603401564385865244805557227055217439830370907560198999823078735969567635686951 (120 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3290480722
Step 1 took 6610ms
Step 2 took 4066ms
********** Factor found in step 2: 19119580804026448034824934992231
Found probable prime factor of 32 digits: 19119580804026448034824934992231
Probable prime cofactor 15123377562818027057411188140424291585847836807190418568871815626881749196170735312717121 has 89 digits
execution environment 実行環境
Core 2 Quad Q6600

8×10196-9

c187

name 名前Robert Backstrom
date 日付March 15, 2012 20:20:57 UTC 2012 年 3 月 16 日 (金) 5 時 20 分 57 秒 (日本時間)
composite number 合成数
4870090283549611357173900624575996585213471414044546711318794782800679163627138563032150781701804410777227307908392638219069210080951912395486931871210218216502807646526635711971447817801<187>
prime factors 素因数
81414877802867842804171020513313290804837130370072920417469071886006761367<74>
59818185753980978199058118896566485703373129613222157612388667504251304310190969765131248916109490387978301091103<113>
factorization results 素因数分解の結果
Number: n
N=4870090283549611357173900624575996585213471414044546711318794782800679163627138563032150781701804410777227307908392638219069210080951912395486931871210218216502807646526635711971447817801
  ( 187 digits)
SNFS difficulty: 196 digits.
Divisors found:

Fri Mar 16 06:48:10 2012  prp74 factor: 81414877802867842804171020513313290804837130370072920417469071886006761367
Fri Mar 16 06:48:10 2012  prp113 factor: 59818185753980978199058118896566485703373129613222157612388667504251304310190969765131248916109490387978301091103
Fri Mar 16 06:48:10 2012  elapsed time 04:07:47 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.654).
Factorization parameters were as follows:
name: KA_79991_196
n: 4870090283549611357173900624575996585213471414044546711318794782800679163627138563032150781701804410777227307908392638219069210080951912395486931871210218216502807646526635711971447817801
m: 1000000000000000000000000000000000000000
#  c187, diff: 196.9
skew: 0.65
deg: 5
c5: 80
c0: -9
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 13100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8704003 hash collisions in 77302765 relations (70850829 unique)
Msieve: matrix is 1428904 x 1429137 (399.8 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.93 BogoMIPS (lpj=2798468)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797560)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Total of 8 processors activated (44762.71 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 12, 2008 09:00:00 UTC 2008 年 1 月 12 日 (土) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 23, 2010 12:42:47 UTC 2010 年 10 月 23 日 (土) 21 時 42 分 47 秒 (日本時間)
403e61110 / 2144110Ignacio SantosOctober 23, 2010 12:42:47 UTC 2010 年 10 月 23 日 (土) 21 時 42 分 47 秒 (日本時間)
1000Dmitry DomanovFebruary 10, 2012 12:16:44 UTC 2012 年 2 月 10 日 (金) 21 時 16 分 44 秒 (日本時間)
4511e632 / 4220Ignacio SantosOctober 23, 2010 12:42:47 UTC 2010 年 10 月 23 日 (土) 21 時 42 分 47 秒 (日本時間)

8×10197-9

c169

name 名前Ignacio Santos
date 日付October 23, 2010 12:39:24 UTC 2010 年 10 月 23 日 (土) 21 時 39 分 24 秒 (日本時間)
composite number 合成数
4047262329443250057887550819899108175975171371478213673194754179231810047624829826656727381875945885359417535752045105517727691592940261537067267217589420580234705199521<169>
prime factors 素因数
1427215094366113765241891957567569<34>
composite cofactor 合成数の残り
2835776012613438226801016476760891315908898452943939591922899126460874098282257777384696507719757390891052507275748186718986579324950609<136>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=188830890
Step 1 took 8081ms
Step 2 took 6194ms
********** Factor found in step 2: 1427215094366113765241891957567569
Found probable prime factor of 34 digits: 1427215094366113765241891957567569
Composite cofactor 2835776012613438226801016476760891315908898452943939591922899126460874098282257777384696507719757390891052507275748186718986579324950609 has 136 digits
software ソフトウェア
GMP-ECM 6.3

c136

name 名前Wataru Sakai
date 日付December 3, 2010 10:34:14 UTC 2010 年 12 月 3 日 (金) 19 時 34 分 14 秒 (日本時間)
composite number 合成数
2835776012613438226801016476760891315908898452943939591922899126460874098282257777384696507719757390891052507275748186718986579324950609<136>
prime factors 素因数
1908958733856301694391969850590058850504946851<46>
1485509331511250677828481937411850202310266579344367442824439124264860593989565789479246459<91>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2042445678
Step 1 took 50604ms
Step 2 took 18122ms
********** Factor found in step 2: 1908958733856301694391969850590058850504946851
Found probable prime factor of 46 digits: 1908958733856301694391969850590058850504946851
Probable prime cofactor 1485509331511250677828481937411850202310266579344367442824439124264860593989565789479246459 has 91 digits
software ソフトウェア
GMP-ECM 6.2.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 12, 2008 09:00:00 UTC 2008 年 1 月 12 日 (土) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 23, 2010 19:21:26 UTC 2010 年 10 月 24 日 (日) 4 時 21 分 26 秒 (日本時間)
403e6860110Ignacio SantosOctober 23, 2010 19:21:26 UTC 2010 年 10 月 24 日 (日) 4 時 21 分 26 秒 (日本時間)
750Ignacio SantosNovember 15, 2010 16:28:55 UTC 2010 年 11 月 16 日 (火) 1 時 28 分 55 秒 (日本時間)
4511e6246 / 407132Ignacio SantosOctober 23, 2010 19:21:26 UTC 2010 年 10 月 24 日 (日) 4 時 21 分 26 秒 (日本時間)
214Ignacio SantosNovember 15, 2010 16:28:55 UTC 2010 年 11 月 16 日 (火) 1 時 28 分 55 秒 (日本時間)
5043e658 / 7464Ignacio SantosNovember 15, 2010 16:28:55 UTC 2010 年 11 月 16 日 (火) 1 時 28 分 55 秒 (日本時間)

8×10201-9

c162

composite cofactor 合成数の残り
327885143288386481356764937818611038150393207814738326466843212365548611446743777078639510000143948799595718681805691140882502761381039938670637533649485305968881<162>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 10, 2012 12:16:55 UTC 2012 年 2 月 10 日 (金) 21 時 16 分 55 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:03:32 UTC 2014 年 1 月 9 日 (木) 14 時 3 分 32 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:32 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 32 秒 (日本時間)

8×10203-9

c148

name 名前Dmitry Domanov
date 日付February 8, 2012 09:34:14 UTC 2012 年 2 月 8 日 (水) 18 時 34 分 14 秒 (日本時間)
composite number 合成数
1259953441962904397216332355378444683876919814069150080322786850584808060947331346727725803079013471269862518923006387200061519170837586004399036219<148>
prime factors 素因数
53694954854754892804718221745868071<35>
403474286370117420764849993380133628803096457592087361<54>
58157422897196965521108495629688569153637861218663306686349<59>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1015594997
Step 1 took 16436ms
Step 2 took 7372ms
********** Factor found in step 2: 53694954854754892804718221745868071
Found probable prime factor of 35 digits: 53694954854754892804718221745868071
Composite cofactor 23465024700571672426037038831151078790356117056564845369834719186769085143950263094525152118525893368947034134989 has 113 digits

N=23465024700571672426037038831151078790356117056564845369834719186769085143950263094525152118525893368947034134989
  ( 113 digits)
Divisors found:
 r1=403474286370117420764849993380133628803096457592087361 (pp54)
 r2=58157422897196965521108495629688569153637861218663306686349 (pp59)
Version: Msieve v. 1.48
Total time: 0.37 hours.
Scaled time: 0.62 units (timescale=1.698).
Factorization parameters were as follows:
n: 23465024700571672426037038831151078790356117056564845369834719186769085143950263094525152118525893368947034134989
skew: 32978.18
c0:  657686494915919282743911905
c1:  112821936250026173108418
c2: -6744926436927412759
c3: -208293535605852
c4:  3390861404
c5:  90576
Y0: -3038649437090507030202
Y1:  912400339829
rlim: 3980000
alim: 3980000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.500000
alambda: 2.500000
type: gnfs
Factor base limits: 3980000/3980000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [1990000, 2890001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 446861 x 447089
Total sieving time: 0.00 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.23 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
gnfs,112,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3980000,3980000,27,27,54,54,2.500000,2.500000,100000
total time: 0.37 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)

8×10204-9

c199

name 名前Warut Roonguthai
date 日付February 7, 2012 17:08:45 UTC 2012 年 2 月 8 日 (水) 2 時 8 分 45 秒 (日本時間)
composite number 合成数
8187049520392405283512407985238749714732493273827128402614534264337314627289687490085994721399821726996693455374951517316121426224961699958962414279033068516394054973990767054903377464941518881894647<199>
prime factors 素因数
16205329375756221583103465311673<32>
composite cofactor 合成数の残り
505207227237265374887558002728015292695785941385988850601995045775830174065319994869178937526427979697918458667522201603126308966220899905162535335181384817442229537839<168>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2633903517
Step 1 took 10093ms
Step 2 took 5897ms
********** Factor found in step 2: 16205329375756221583103465311673
Found probable prime factor of 32 digits: 16205329375756221583103465311673
Composite cofactor 505207227237265374887558002728015292695785941385988850601995045775830174065319994869178937526427979697918458667522201603126308966220899905162535335181384817442229537839 has 168 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 10, 2012 12:17:05 UTC 2012 年 2 月 10 日 (金) 21 時 17 分 5 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:03:33 UTC 2014 年 1 月 9 日 (木) 14 時 3 分 33 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:33 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 33 秒 (日本時間)

8×10206-9

c179

composite cofactor 合成数の残り
87637791811927250111542225322134702996575595676457834151333815582046951216898499480746579815431661200478211669687319634870224970124658744168034333653774958255851751403489014596553<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 10, 2012 12:17:13 UTC 2012 年 2 月 10 日 (金) 21 時 17 分 13 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:03:33 UTC 2014 年 1 月 9 日 (木) 14 時 3 分 33 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:33 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 33 秒 (日本時間)

8×10207-9

c165

name 名前Dmitry Domanov
date 日付February 8, 2012 06:36:19 UTC 2012 年 2 月 8 日 (水) 15 時 36 分 19 秒 (日本時間)
composite number 合成数
202138778977054854205927588121934624256927133158152619937906401610911165506139730369300046299338398852551702952177835257996109937665295418417961260207124279900782301<165>
prime factors 素因数
383563553224667129883891866576590009<36>
composite cofactor 合成数の残り
527002050319037523666444574024323106422025791141442349766841193555378234729735407475245040937223364319266594273695802267124363589<129>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2460805740
Step 1 took 19762ms
Step 2 took 8319ms
********** Factor found in step 2: 383563553224667129883891866576590009
Found probable prime factor of 36 digits: 383563553224667129883891866576590009

c129

name 名前Warut Roonguthai
date 日付February 14, 2012 11:47:51 UTC 2012 年 2 月 14 日 (火) 20 時 47 分 51 秒 (日本時間)
composite number 合成数
527002050319037523666444574024323106422025791141442349766841193555378234729735407475245040937223364319266594273695802267124363589<129>
prime factors 素因数
2359994481905721143616232585850367032270519<43>
223306475654755621082958334503634416321951702625374202668692208032859353866554246722531<87>
factorization results 素因数分解の結果
N = 527002050319037523666444574024323106422025791141442349766841193555378234729735407475245040937223364319266594273695802267124363589 (129 digits)
Divisors found:
r1=2359994481905721143616232585850367032270519 (pp43)
r2=223306475654755621082958334503634416321951702625374202668692208032859353866554246722531 (pp87)
Version: Msieve v. 1.48
Total time: 37.93 hours.
Factorization parameters were as follows:
n: 527002050319037523666444574024323106422025791141442349766841193555378234729735407475245040937223364319266594273695802267124363589
Y0: -6176907252949637285834648
Y1: 39393336971647
c0: -66957741228393680159411494677
c1: 8179719054765980244314730
c2: -75251038191489792995
c3: -10685231978741834
c4: 32538568
c5: 58608
skew: 86608.5
type: gnfs
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19427489
Relations: 2420946 relations
Pruned matrix : 1348340 x 1348564
Polynomial selection time: 0.00 hours.
Total sieving time: 34.67 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.40 hours.
time per square root: 0.74 hours.
Prototype def-par.txt line would be: gnfs,128,5,65,2000,1e-05,0.28,250,20,50000,3600,6800000,6800000,28,28,55,55,2.5,2.5,100000
total time: 37.93 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
351e6418118Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosFebruary 9, 2012 15:58:21 UTC 2012 年 2 月 10 日 (金) 0 時 58 分 21 秒 (日本時間)
403e61510 / 2126110Ignacio SantosFebruary 9, 2012 15:58:21 UTC 2012 年 2 月 10 日 (金) 0 時 58 分 21 秒 (日本時間)
400Lionel DebrouxFebruary 10, 2012 10:33:26 UTC 2012 年 2 月 10 日 (金) 19 時 33 分 26 秒 (日本時間)
1000Dmitry DomanovFebruary 10, 2012 12:17:22 UTC 2012 年 2 月 10 日 (金) 21 時 17 分 22 秒 (日本時間)
4511e632 / 4127Ignacio SantosFebruary 9, 2012 15:58:21 UTC 2012 年 2 月 10 日 (金) 0 時 58 分 21 秒 (日本時間)

8×10210-9

c209

name 名前Kenji Ibusuki
date 日付March 4, 2012 01:13:55 UTC 2012 年 3 月 4 日 (日) 10 時 13 分 55 秒 (日本時間)
composite number 合成数
22284122562674094707520891364902506963788300835654596100278551532033426183844011142061281337047353760445682451253481894150417827298050139275766016713091922005571030640668523676880222841225626740947075208913649<209>
prime factors 素因数
352585123213688238209088624642086390941252550482654312659488413481<66>
63202106656010406556759667715580889046487196378902614899075518260479266518560510682320966550634695977417478810669857055435308396255452706606729<143>
factorization results 素因数分解の結果
Number: 79991_210
N=22284122562674094707520891364902506963788300835654596100278551532033426183844011142061281337047353760445682451253481894150417827298050139275766016713091922005571030640668523676880222841225626740947075208913649
  ( 209 digits)
SNFS difficulty: 211 digits.
Divisors found:
 r1=352585123213688238209088624642086390941252550482654312659488413481 (pp66)
 r2=63202106656010406556759667715580889046487196378902614899075518260479266518560510682320966550634695977417478810669857055435308396255452706606729 (pp143)
Version: GGNFS-0.77.1-VC8(UTE)
Total time: 1248.62 hours.
Scaled time: 5637.54 units (timescale=4.515).
Factorization parameters were as follows:
n: 22284122562674094707520891364902506963788300835654596100278551532033426183844011142061281337047353760445682451253481894150417827298050139275766016713091922005571030640668523676880222841225626740947075208913649
m: 2000000000000000000000000000000000000000000
deg: 5
c5: 1
c0: -36
skew: 2.048
type: snfs
lss: 1
rlim: 23000000
alim: 23000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
relslim: 60000000
qintsize: 25000

Factor base limits: 23000000/23000000
Large primes per side: 3
Large prime bits: 29/29
Sieved special-q in [11500000, 29375001)
Relations: rels:45655841, finalFF:3248454
Initial matrix: 2894786 x 3248454 with sparse part having weight 413795487.
Pruned matrix : 2585734 x 2600271 with weight 361072116.
Number of square root dependence: 2
Total sieving time: 1176.14 hours.
Total relation processing time: 3.17 hours.
Total matrix build processing time: 13.61 hours.
Matrix pruned processing time: 1.13 hours.
Matrix solve time: 54.01 hours.
Total time of square root: 0.57 hours.
Prototype def-par.txt line would be:
snfs,211,5,0,0,0,0,0,0,0,0,23000000,23000000,29,29,57,57,2.6,2.6,100000
total time: 1248.62 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS-0.77.1-VC8 with factLat.pl (decomposed + modified) snfs
execution environment 実行環境
Core i7 2600 - Windows7 64bit (7 processors used) and 
Core 2 Quad Q6600 - Windows Vista 32bit (4 processors used)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)
403e623001300Serge BatalovFebruary 8, 2012 08:29:53 UTC 2012 年 2 月 8 日 (水) 17 時 29 分 53 秒 (日本時間)
1000Dmitry DomanovFebruary 10, 2012 12:17:57 UTC 2012 年 2 月 10 日 (金) 21 時 17 分 57 秒 (日本時間)
4511e610 / 3967Dmitry DomanovFebruary 10, 2012 12:17:57 UTC 2012 年 2 月 10 日 (金) 21 時 17 分 57 秒 (日本時間)

8×10211-9

c182

composite cofactor 合成数の残り
18613090848619154380747271992252774832320724349757780448634635913376328957004719385849927304596388114074857107498755574435378571356359451432286829189704031242269523182345302462533131<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovFebruary 10, 2012 12:18:29 UTC 2012 年 2 月 10 日 (金) 21 時 18 分 29 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:03:34 UTC 2014 年 1 月 9 日 (木) 14 時 3 分 34 秒 (日本時間)
4511e6300 / 3682Serge BatalovMay 27, 2014 00:35:59 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 59 秒 (日本時間)
5043e6144 / 7436CypFebruary 11, 2014 03:06:16 UTC 2014 年 2 月 11 日 (火) 12 時 6 分 16 秒 (日本時間)

8×10212-9

c182

name 名前Cyp
date 日付February 14, 2014 12:25:41 UTC 2014 年 2 月 14 日 (金) 21 時 25 分 41 秒 (日本時間)
composite number 合成数
32657888475390946543419030002929433918402295464649948779890421193984435020811881566699279760734348234623382731512260409317774689682925053713835870209590009321174567784922016985240391<182>
prime factors 素因数
1851356479454681782943182282432079535581617393<46>
composite cofactor 合成数の残り
17639978490263716344164174678712765181023555530192447685844828621960773488644313913112853750186218792841585564034213457413685577255490487<137>
factorization results 素因数分解の結果
Run 283 out of 295:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3731307205
Step 1 took 59245ms
Step 2 took 18880ms
********** Factor found in step 2: 1851356479454681782943182282432079535581617393
Found probable prime factor of 46 digits: 1851356479454681782943182282432079535581617393
Composite cofactor 17639978490263716344164174678712765181023555530192447685844828621960773488644313913112853750186218792841585564034213457413685577255490487 has 137 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c137

name 名前Erik Branger
date 日付June 17, 2014 06:53:22 UTC 2014 年 6 月 17 日 (火) 15 時 53 分 22 秒 (日本時間)
composite number 合成数
17639978490263716344164174678712765181023555530192447685844828621960773488644313913112853750186218792841585564034213457413685577255490487<137>
prime factors 素因数
31928351621138747939762429657064506409514168353797424553<56>
552486351302421971067972087000414597054715852617904914334871053835933092571523679<81>
factorization results 素因数分解の結果
Number: 79991_212
N = 17639978490263716344164174678712765181023555530192447685844828621960773488644313913112853750186218792841585564034213457413685577255490487 (137 digits)
Divisors found:
r1=31928351621138747939762429657064506409514168353797424553 (pp56)
r2=552486351302421971067972087000414597054715852617904914334871053835933092571523679 (pp81)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 115.38 hours.
Factorization parameters were as follows:
# Murphy_E = 3.675e-11, selected by Erik Branger
# expecting poly E from 3.47e-011 to > 3.99e-011
n: 17639978490263716344164174678712765181023555530192447685844828621960773488644313913112853750186218792841585564034213457413685577255490487
Y0: -471623300404113936656528591
Y1: 120793490095399
c0: -30174711244956184648652056291536600
c1: 73912260936811016924020923410
c2: -7228509976454767191037
c3: -20036121554255860
c4: -67720044
c5: 756
skew: 2944863.86
type: gnfs
# selected mechanically
rlim: 14400000
alim: 14400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 14400000/14400000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 22356655
Relations: 3519944 relations
Pruned matrix : 2105221 x 2105448
Polynomial selection time: 0.00 hours.
Total sieving time: 111.72 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 3.21 hours.
time per square root: 0.29 hours.
Prototype def-par.txt line would be: gnfs,136,5,65,2000,1e-05,0.28,250,20,50000,3600,14400000,14400000,28,28,55,55,2.6,2.6,100000
total time: 115.38 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
351e6118Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovFebruary 10, 2012 12:18:37 UTC 2012 年 2 月 10 日 (金) 21 時 18 分 37 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:03:34 UTC 2014 年 1 月 9 日 (木) 14 時 3 分 34 秒 (日本時間)
4511e62395 / 4188295CypFebruary 14, 2014 12:25:40 UTC 2014 年 2 月 14 日 (金) 21 時 25 分 40 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:10 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 10 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:00 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 0 秒 (日本時間)

8×10214-9

c97

name 名前Warut Roonguthai
date 日付February 8, 2012 00:34:37 UTC 2012 年 2 月 8 日 (水) 9 時 34 分 37 秒 (日本時間)
composite number 合成数
4839392981229713220590793683953614138540887408599977734442782326461549846048697267423044368338321<97>
prime factors 素因数
108949257441081492745795054103854289<36>
44418778933365391401581679676288297409967491417272068628919489<62>
factorization results 素因数分解の結果
N = 4839392981229713220590793683953614138540887408599977734442782326461549846048697267423044368338321 (97 digits)
Divisors found:
r1=108949257441081492745795054103854289 (pp36)
r2=44418778933365391401581679676288297409967491417272068628919489 (pp62)
Version: Msieve v. 1.48
Total time: 1.00 hours.
Factorization parameters were as follows:
n: 4839392981229713220590793683953614138540887408599977734442782326461549846048697267423044368338321
Y0: -670119501432589953829801
Y1: 7307731140437
c0: -131235875236755248841901797240
c1: -23266406456036182739914
c2: -1281217436337283
c3: -148856362
c4: 24
skew: 12080524.39
type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Sieved algebraic special-q in [0, 0)
Total raw relations: 1953242
Relations: 286754 relations
Pruned matrix : 165053 x 165282
Polynomial selection time: 0.00 hours.
Total sieving time: 0.94 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.05 hours.
time per square root: 0.00 hours.
Prototype def-par.txt line would be: gnfs,96,4,60,2000,0.0001,0.3,220,15,10000,600,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 1.00 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
3025e40--
351e6118 / 904Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)

8×10217-9

c189

composite cofactor 合成数の残り
734191395993309381497216879725179244650425417587853108879355218409852620652981417516277294448912787522030981370791382184656473446407878294958954942864285825434910200422009007289212109220941<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 10, 2012 12:18:47 UTC 2012 年 2 月 10 日 (金) 21 時 18 分 47 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:03:35 UTC 2014 年 1 月 9 日 (木) 14 時 3 分 35 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:33 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 33 秒 (日本時間)

8×10218-9

c215

name 名前Serge Batalov
date 日付February 8, 2012 17:50:51 UTC 2012 年 2 月 9 日 (木) 2 時 50 分 51 秒 (日本時間)
composite number 合成数
34939074987989692972878543040573000829803030964755208105865397213608769707821985412936192514303183823208280560772153557234572214700615801196663318338646984321090099139625278420753810542865877625889854566100362492903<215>
prime factors 素因数
901528497316355772074058337256364994351<39>
composite cofactor 合成数の残り
38755375001450682254223798212068053215483665159078468414274443367786446498570865243468800013903244046131828508492952328148033395903633139762824043657630852092855149893503537353<176>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=2798145354
Step 1 took 13009ms
Step 2 took 7780ms
********** Factor found in step 2: 901528497316355772074058337256364994351
Found probable prime factor of 39 digits: 901528497316355772074058337256364994351
Composite cofactor 387553750014... has 176 digits

c176

name 名前Dmitry Domanov
date 日付February 10, 2012 06:36:16 UTC 2012 年 2 月 10 日 (金) 15 時 36 分 16 秒 (日本時間)
composite number 合成数
38755375001450682254223798212068053215483665159078468414274443367786446498570865243468800013903244046131828508492952328148033395903633139762824043657630852092855149893503537353<176>
prime factors 素因数
35594522000963558448843039644723038426729<41>
composite cofactor 合成数の残り
1088801670110967024809996433291582199914559685949246533311667052322671103724367586852955696553227428824772816855213719095302915487292257<136>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2436595440
Step 1 took 31046ms
Step 2 took 10961ms
********** Factor found in step 2: 35594522000963558448843039644723038426729
Found probable prime factor of 41 digits: 35594522000963558448843039644723038426729

c136

name 名前Dmitry Domanov
date 日付February 28, 2012 08:33:03 UTC 2012 年 2 月 28 日 (火) 17 時 33 分 3 秒 (日本時間)
composite number 合成数
1088801670110967024809996433291582199914559685949246533311667052322671103724367586852955696553227428824772816855213719095302915487292257<136>
prime factors 素因数
7403565714962559282672850667451919621111<40>
147064497301686100463326295785520523913687470636240970765830801402569209267305122035506041699687<96>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3431402457
Step 1 took 80570ms
Step 2 took 17699ms
********** Factor found in step 2: 7403565714962559282672850667451919621111
Found probable prime factor of 40 digits: 7403565714962559282672850667451919621111

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61400400Lionel DebrouxFebruary 8, 2012 10:45:21 UTC 2012 年 2 月 8 日 (水) 19 時 45 分 21 秒 (日本時間)
1000Dmitry DomanovFebruary 10, 2012 06:35:57 UTC 2012 年 2 月 10 日 (金) 15 時 35 分 57 秒 (日本時間)
4511e6400 / 4166Dmitry DomanovFebruary 28, 2012 07:22:43 UTC 2012 年 2 月 28 日 (火) 16 時 22 分 43 秒 (日本時間)

8×10219-9

c189

composite cofactor 合成数の残り
151611914687635167550066182144371296288992678919781849346958585430303232068246349937793833719798598955519768833450463963233705183006536738749648722658629923481835403768141597017160113951551<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 10, 2012 12:18:56 UTC 2012 年 2 月 10 日 (金) 21 時 18 分 56 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:03:36 UTC 2014 年 1 月 9 日 (木) 14 時 3 分 36 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:34 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 34 秒 (日本時間)

8×10221-9

c201

name 名前Warut Roonguthai
date 日付February 7, 2012 18:34:35 UTC 2012 年 2 月 8 日 (水) 3 時 34 分 35 秒 (日本時間)
composite number 合成数
969516754047234795644928070347800728162075659419925373382041609861219682144493805129290909588788408054353933498071656349066984579422117590034519877232004750744317754920136256313472165215075732795830751<201>
prime factors 素因数
6377253754843809216010092323801<31>
composite cofactor 合成数の残り
152027313216263896477811644021367687518556641276753454397573777124752499389233502731666854072626344217975318003128625312839581053484872377216654451788936806379330111096951<171>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2972292649
Step 1 took 9953ms
********** Factor found in step 1: 6377253754843809216010092323801
Found probable prime factor of 31 digits: 6377253754843809216010092323801
Composite cofactor 152027313216263896477811644021367687518556641276753454397573777124752499389233502731666854072626344217975318003128625312839581053484872377216654451788936806379330111096951 has 171 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 10, 2012 12:19:06 UTC 2012 年 2 月 10 日 (金) 21 時 19 分 6 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:03:44 UTC 2014 年 1 月 9 日 (木) 14 時 3 分 44 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:34 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 34 秒 (日本時間)

8×10222-9

c183

composite cofactor 合成数の残り
179836756303062185404946640083916108828101636370242388366661066365157259702408772974208063934708906852468204182366603772405008514663552846493778272244404936392633441732858287688940777<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovFebruary 10, 2012 12:19:14 UTC 2012 年 2 月 10 日 (金) 21 時 19 分 14 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:03:45 UTC 2014 年 1 月 9 日 (木) 14 時 3 分 45 秒 (日本時間)
4511e6300 / 3682Serge BatalovMay 27, 2014 00:36:00 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 0 秒 (日本時間)
5043e6144 / 7436CypFebruary 6, 2014 05:31:30 UTC 2014 年 2 月 6 日 (木) 14 時 31 分 30 秒 (日本時間)

8×10223-9

c204

composite cofactor 合成数の残り
123718326818921983698997674215499215221431040281039247186093180170142898244187288715754502343620260298708158057661745158675726245270689728702571753657637140775022760971244216967967144580820715570949800219<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 10, 2012 12:19:22 UTC 2012 年 2 月 10 日 (金) 21 時 19 分 22 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:03:46 UTC 2014 年 1 月 9 日 (木) 14 時 3 分 46 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:35 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 35 秒 (日本時間)

8×10226-9

c184

composite cofactor 合成数の残り
8772993644271341727972676483705398147165081262589997769724266257247856928734461397250428940881199588856832560066133641078964251044364291898018852344673395667384595436437539681797350143<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 10, 2012 12:19:32 UTC 2012 年 2 月 10 日 (金) 21 時 19 分 32 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:03:47 UTC 2014 年 1 月 9 日 (木) 14 時 3 分 47 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:35 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 35 秒 (日本時間)

8×10228-9

c202

composite cofactor 合成数の残り
1767771140477338183069259974923011841261647771746466429215109924708677504748493534139888055538324611074999001795781404348735517144952584936558090210236861853812992933547919779550521354022916535678410423<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 10, 2012 12:19:40 UTC 2012 年 2 月 10 日 (金) 21 時 19 分 40 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:03:48 UTC 2014 年 1 月 9 日 (木) 14 時 3 分 48 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:35 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 35 秒 (日本時間)

8×10229-9

c208

name 名前Serge Batalov
date 日付May 26, 2014 22:56:51 UTC 2014 年 5 月 27 日 (火) 7 時 56 分 51 秒 (日本時間)
composite number 合成数
1572773834214976304481725722260518154333408879910307796766159214329669316878025954271426895455882635410991897441749659018905313104906912093796877967579991956931662142775726199089514855585948022409090405794439<208>
prime factors 素因数
5748854973854004570911695555422280559069<40>
composite cofactor 合成数の残り
273580363632063644237674800354809013169225887004252328477631732172085995981949538957645870072542082707750073440439786164959496645103118598132072854810452152931841335731<168>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3491332925
Step 1 took 18418ms
Step 2 took 7384ms
********** Factor found in step 2: 5748854973854004570911695555422280559069
Found probable prime factor of 40 digits: 5748854973854004570911695555422280559069
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 10, 2012 12:19:48 UTC 2012 年 2 月 10 日 (金) 21 時 19 分 48 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:03:49 UTC 2014 年 1 月 9 日 (木) 14 時 3 分 49 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:36 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 36 秒 (日本時間)

8×10232-9

c168

composite cofactor 合成数の残り
648603552754392107855201313994300282462211794002566243794942684228417721777466170243335756933488946299245721251109289864102384367351830331949073683987140515295023702993<168>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovFebruary 10, 2012 12:19:58 UTC 2012 年 2 月 10 日 (金) 21 時 19 分 58 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:03:50 UTC 2014 年 1 月 9 日 (木) 14 時 3 分 50 秒 (日本時間)
4511e6595 / 4188295CypMarch 7, 2014 02:16:39 UTC 2014 年 3 月 7 日 (金) 11 時 16 分 39 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:00 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 0 秒 (日本時間)

8×10234-9

c228

composite cofactor 合成数の残り
118580062449300538455758823686966303563151524257026613531138316572510885538564037243210983857740566300136187719472241052159708312019184712563484986215141852807843217354571595654971564723362274823316818638627659893467375445392273<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61400400Lionel DebrouxFebruary 9, 2012 07:01:19 UTC 2012 年 2 月 9 日 (木) 16 時 1 分 19 秒 (日本時間)
1000Dmitry DomanovFebruary 10, 2012 12:20:05 UTC 2012 年 2 月 10 日 (金) 21 時 20 分 5 秒 (日本時間)
4511e6900 / 4166600Dmitry DomanovMay 13, 2012 16:33:21 UTC 2012 年 5 月 14 日 (月) 1 時 33 分 21 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:01 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 1 秒 (日本時間)

8×10235-9

c182

name 名前Warut Roonguthai
date 日付February 7, 2012 20:33:57 UTC 2012 年 2 月 8 日 (水) 5 時 33 分 57 秒 (日本時間)
composite number 合成数
26352938654972520103046561074723876348946686569470384727989438373292793788693333277564231624302190784642454883576684196012893833967804233840071184147783457029144852981200012993601171<182>
prime factors 素因数
14583331384644655834766246191<29>
1807058892093786699381504846069706577618906976995238561396323867816796794003754607130458592182312439364937154992266129236062191022071491811436709821986781<154>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1805905473
Step 1 took 9110ms
Step 2 took 5320ms
********** Factor found in step 2: 14583331384644655834766246191
Found probable prime factor of 29 digits: 14583331384644655834766246191
Probable prime cofactor 1807058892093786699381504846069706577618906976995238561396323867816796794003754607130458592182312439364937154992266129236062191022071491811436709821986781 has 154 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)

8×10236-9

c229

name 名前Dmitry Domanov
date 日付May 14, 2012 07:34:18 UTC 2012 年 5 月 14 日 (月) 16 時 34 分 18 秒 (日本時間)
composite number 合成数
1185529482266575109607868948381955945490296901321278387442324009211629281332813263284170161719958704036608889595905740738166879394866155566432360447482785922973728093173085649115380351297252076476746389735594456765858174731630839<229>
prime factors 素因数
440887850221447107185182731517512171773959<42>
composite cofactor 合成数の残り
2688959293550758662803569792022591608403827595158597311087987901215976507023612733452358425694282459361151017241557827798561799687428462958410688972618333472524697448336433125490091410321<187>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2655642556
Step 1 took 121544ms
Step 2 took 37574ms
********** Factor found in step 2: 440887850221447107185182731517512171773959
Found probable prime factor of 42 digits: 440887850221447107185182731517512171773959

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61400400Lionel DebrouxFebruary 9, 2012 09:52:44 UTC 2012 年 2 月 9 日 (木) 18 時 52 分 44 秒 (日本時間)
1000Dmitry DomanovFebruary 10, 2012 12:20:13 UTC 2012 年 2 月 10 日 (金) 21 時 20 分 13 秒 (日本時間)
4511e6900 / 4166600Dmitry DomanovMay 13, 2012 16:32:30 UTC 2012 年 5 月 14 日 (月) 1 時 32 分 30 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:02 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 2 秒 (日本時間)

8×10239-9

c230

composite cofactor 合成数の残り
57630981175722401310804391442815588942766682031463250782783373502358937381991097452598028299725147455584750297220637420867105958470090141851680331833046147216254739631954179604356990669256208860844024733219918967409982779818881071<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61400400Lionel DebrouxFebruary 9, 2012 16:11:20 UTC 2012 年 2 月 10 日 (金) 1 時 11 分 20 秒 (日本時間)
1000Dmitry DomanovFebruary 10, 2012 12:20:24 UTC 2012 年 2 月 10 日 (金) 21 時 20 分 24 秒 (日本時間)
4511e6900 / 4166600Dmitry DomanovMay 13, 2012 16:31:30 UTC 2012 年 5 月 14 日 (月) 1 時 31 分 30 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:02 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 2 秒 (日本時間)

8×10243-9

c191

name 名前Warut Roonguthai
date 日付February 7, 2012 21:25:49 UTC 2012 年 2 月 8 日 (水) 6 時 25 分 49 秒 (日本時間)
composite number 合成数
21029707208115756906795435646078106004330178348710824423351278378293815124107779558095134519602266035226766342703520443836611870531433871055160828802680435029947199020046446328028783765305511<191>
prime factors 素因数
271559403294699179670218434082719<33>
composite cofactor 合成数の残り
77440541380532099964643908223547652135647118368266604354825028597548440104155320264822440498466721043420792895390909338561476691035397536718340644692941554169<158>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2391588249
Step 1 took 9017ms
Step 2 took 5600ms
********** Factor found in step 2: 271559403294699179670218434082719
Found probable prime factor of 33 digits: 271559403294699179670218434082719
Composite cofactor 77440541380532099964643908223547652135647118368266604354825028597548440104155320264822440498466721043420792895390909338561476691035397536718340644692941554169 has 158 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosFebruary 9, 2012 17:48:12 UTC 2012 年 2 月 10 日 (金) 2 時 48 分 12 秒 (日本時間)
403e61110110Ignacio SantosFebruary 9, 2012 17:48:12 UTC 2012 年 2 月 10 日 (金) 2 時 48 分 12 秒 (日本時間)
1000Dmitry DomanovFebruary 10, 2012 12:20:33 UTC 2012 年 2 月 10 日 (金) 21 時 20 分 33 秒 (日本時間)
4511e6425032Ignacio SantosFebruary 9, 2012 17:48:12 UTC 2012 年 2 月 10 日 (金) 2 時 48 分 12 秒 (日本時間)
400Dmitry DomanovMarch 9, 2012 16:10:30 UTC 2012 年 3 月 10 日 (土) 1 時 10 分 30 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:12:32 UTC 2013 年 11 月 9 日 (土) 2 時 12 分 32 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:26:21 UTC 2014 年 1 月 6 日 (月) 11 時 26 分 21 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:11 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 11 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:03 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 3 秒 (日本時間)
1368Ignacio SantosJanuary 16, 2016 03:02:17 UTC 2016 年 1 月 16 日 (土) 12 時 2 分 17 秒 (日本時間)

8×10244-9

c190

composite cofactor 合成数の残り
2428853577019143317742668732352135856193568495188566337240658521054003621588586276356525012060377364041593830091517639539403776405198621158259196356980845414385414230103991839500223197844257<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 10, 2012 12:20:41 UTC 2012 年 2 月 10 日 (金) 21 時 20 分 41 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:03:51 UTC 2014 年 1 月 9 日 (木) 14 時 3 分 51 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:36 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 36 秒 (日本時間)

8×10245-9

c241

name 名前Dmitry Domanov
date 日付March 10, 2012 08:00:04 UTC 2012 年 3 月 10 日 (土) 17 時 0 分 4 秒 (日本時間)
composite number 合成数
6664944889236947121993485016370770884188251368396497571460705984287392423623897159900359073905907640526197399005256975281385642042472361306662445534903483266822737459489631845106680774133348884871408219543284651465038198465396439253192925161<241>
prime factors 素因数
26234467408092023483878578044093422379955221<44>
composite cofactor 合成数の残り
254052990120208972101761884523720999588342322295526614696921697856658355347523277089578810438611748037727855407054329101947615900136134098294436271648047544076998963090108708646874865172433277259141<198>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=295852664
Step 1 took 409021ms
Step 2 took 181866ms
********** Factor found in step 2: 26234467408092023483878578044093422379955221
Found probable prime factor of 44 digits: 26234467408092023483878578044093422379955221

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61400400Lionel DebrouxFebruary 9, 2012 17:40:50 UTC 2012 年 2 月 10 日 (金) 2 時 40 分 50 秒 (日本時間)
1000Dmitry DomanovFebruary 10, 2012 12:20:49 UTC 2012 年 2 月 10 日 (金) 21 時 20 分 49 秒 (日本時間)
4511e6700 / 4166400Dmitry DomanovMarch 9, 2012 22:05:55 UTC 2012 年 3 月 10 日 (土) 7 時 5 分 55 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:03 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 3 秒 (日本時間)

8×10247-9

c200

name 名前Dmitry Domanov
date 日付February 8, 2012 06:33:45 UTC 2012 年 2 月 8 日 (水) 15 時 33 分 45 秒 (日本時間)
composite number 合成数
22722567949097586751798907461247727910229880974309500480416705873129070159395418431238892509562802930218203845450389103005431043422655274813229929205301653727133893745597211490155136319955019609961911<200>
prime factors 素因数
3289354456996380061493927389528425569<37>
composite cofactor 合成数の残り
6907911034266074829693664448291777900488674949890473738502974168097412771201004057373822750743309555552070130728113585432038424473092582387418775485488290995056919<163>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3662303517
Step 1 took 27117ms
Step 2 took 9904ms
********** Factor found in step 2: 3289354456996380061493927389528425569
Found probable prime factor of 37 digits: 3289354456996380061493927389528425569

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosFebruary 9, 2012 18:57:11 UTC 2012 年 2 月 10 日 (金) 3 時 57 分 11 秒 (日本時間)
403e61110110Ignacio SantosFebruary 9, 2012 18:57:11 UTC 2012 年 2 月 10 日 (金) 3 時 57 分 11 秒 (日本時間)
1000Dmitry DomanovFebruary 10, 2012 12:21:04 UTC 2012 年 2 月 10 日 (金) 21 時 21 分 4 秒 (日本時間)
4511e6443232Ignacio SantosFebruary 9, 2012 18:57:11 UTC 2012 年 2 月 10 日 (金) 3 時 57 分 11 秒 (日本時間)
400Dmitry DomanovMarch 9, 2012 16:10:08 UTC 2012 年 3 月 10 日 (土) 1 時 10 分 8 秒 (日本時間)
4000Wataru SakaiApril 3, 2012 01:19:29 UTC 2012 年 4 月 3 日 (火) 10 時 19 分 29 秒 (日本時間)

8×10248-9

c247

name 名前Lionel Debroux
date 日付February 10, 2012 08:34:40 UTC 2012 年 2 月 10 日 (金) 17 時 34 分 40 秒 (日本時間)
composite number 合成数
6722689075630252100840336134453781512605042016806722689075630252100840336134453781512605042016806722689075630252100840336134453781512605042016806722689075630252100840336134453781512605042016806722689075630252100840336134453781512605042016806722689<247>
prime factors 素因数
24012575406493670317851540947007249176239<41>
279965349897964273260793367265069054397992529434839860924127865483005125350966554138174669635748250394873452193938689380241881710323277247788220624473980379054466247947188461097513390330222777489472917785551<207>
factorization results 素因数分解の結果
********** Factor found in step 2: 24012575406493670317851540947007249176239
Found probable prime factor of 41 digits: 24012575406493670317851540947007249176239
Probable prime cofactor 279965349897964273260793367265069054397992529434839860924127865483005125350966554138174669635748250394873452193938689380241881710323277247788220624473980379054466247947188461097513390330222777489472917785551 has 207 digits
software ソフトウェア
GMP-ECM 6.5-dev (SVN r1712).
execution environment 実行環境
Core i7-2670QM, Debian unstable x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)

8×10249-9

c242

name 名前Dmitry Domanov
date 日付February 8, 2012 13:30:07 UTC 2012 年 2 月 8 日 (水) 22 時 30 分 7 秒 (日本時間)
composite number 合成数
11713435469053637184163849315783313573084935917134272989323975192519133614984158142237186903914707881685651390464368328884616907868826934768424011769039147225234799877075108485336962616370107932909383204296102758021942254487940938386830147591<242>
prime factors 素因数
228344099195616997070047101106338562309649<42>
composite cofactor 合成数の残り
51297298727299336293881648150004905644311300687742289293561335557566319655350185006076066818271650154565995576490636033757607057752591653355652277748226402916966331698202791107563594992412475326276759<200>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=762661468
Step 1 took 41307ms
Step 2 took 12384ms
********** Factor found in step 2: 228344099195616997070047101106338562309649
Found probable prime factor of 42 digits: 228344099195616997070047101106338562309649

c200

name 名前Dmitry Domanov
date 日付February 8, 2012 16:48:53 UTC 2012 年 2 月 9 日 (木) 1 時 48 分 53 秒 (日本時間)
composite number 合成数
51297298727299336293881648150004905644311300687742289293561335557566319655350185006076066818271650154565995576490636033757607057752591653355652277748226402916966331698202791107563594992412475326276759<200>
prime factors 素因数
2458169232233878471960429665052435189<37>
20868090794823982690731484557044344475803309155709141084654258831633234104523317900122016313878697697890790361570063183473784399973979227645471029508076711855303131<164>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2710449089
Step 1 took 38375ms
Step 2 took 12641ms
********** Factor found in step 2: 2458169232233878471960429665052435189
Found probable prime factor of 37 digits: 2458169232233878471960429665052435189

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)

8×10250-9

c201

name 名前Dmitry Domanov
date 日付February 8, 2012 06:33:10 UTC 2012 年 2 月 8 日 (水) 15 時 33 分 10 秒 (日本時間)
composite number 合成数
462957172197471779418194349165822271426655330533968841719818240781767084852410383778582187812460553997849086926627484102693636499847693003586077868106281065201009285767073248985715243272730317179945481<201>
prime factors 素因数
3189958354459564644304445748083579858411050653119<49>
composite cofactor 合成数の残り
145129534857487163405564510505225401666554618120264589295941012986763713523687920179573011749752475101956040265140788219615512875040547683780718443129399<153>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1446469063
Step 1 took 27046ms
Step 2 took 9914ms
********** Factor found in step 2: 3189958354459564644304445748083579858411050653119
Found probable prime factor of 49 digits: 3189958354459564644304445748083579858411050653119

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 7, 2012 14:00:00 UTC 2012 年 2 月 7 日 (火) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosFebruary 9, 2012 17:10:49 UTC 2012 年 2 月 10 日 (金) 2 時 10 分 49 秒 (日本時間)
403e61110110Ignacio SantosFebruary 9, 2012 17:10:49 UTC 2012 年 2 月 10 日 (金) 2 時 10 分 49 秒 (日本時間)
1000Dmitry DomanovFebruary 10, 2012 12:21:18 UTC 2012 年 2 月 10 日 (金) 21 時 21 分 18 秒 (日本時間)
4511e643232Ignacio SantosFebruary 9, 2012 17:10:49 UTC 2012 年 2 月 10 日 (金) 2 時 10 分 49 秒 (日本時間)
400Dmitry DomanovFebruary 20, 2012 07:17:33 UTC 2012 年 2 月 20 日 (月) 16 時 17 分 33 秒 (日本時間)
5043e61000 / 7316Dmitry DomanovFebruary 21, 2012 06:43:46 UTC 2012 年 2 月 21 日 (火) 15 時 43 分 46 秒 (日本時間)
5511e740 / 17376Dmitry DomanovFebruary 27, 2012 06:47:57 UTC 2012 年 2 月 27 日 (月) 15 時 47 分 57 秒 (日本時間)