Table of contents 目次

5×10102-113

c98

name 名前Robert Backstrom
date 日付April 10, 2008 03:35:16 UTC 2008 年 4 月 10 日 (木) 12 時 35 分 16 秒 (日本時間)
composite number 合成数
28574530949074470942559477886170498511266937553220063892651202130517027562992553477234671192872369<98>
prime factors 素因数
42247654314238814538592060301512367110661<41>
676357809987191111919877049341177444192239827754611671229<57>
factorization results 素因数分解の結果
Number: n
N=28574530949074470942559477886170498511266937553220063892651202130517027562992553477234671192872369
  ( 98 digits)
SNFS difficulty: 102 digits.
Divisors found:
 r1=42247654314238814538592060301512367110661 (pp41)
 r2=676357809987191111919877049341177444192239827754611671229 (pp57)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 0.41 hours.
Scaled time: 0.73 units (timescale=1.753).
Factorization parameters were as follows:
name: KA_1_6_101_3
n: 28574530949074470942559477886170498511266937553220063892651202130517027562992553477234671192872369
type: snfs
skew: 0.47
deg: 5
c5: 500
c0: -11
m: 100000000000000000000
rlim: 500000
alim: 500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 500000/500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 300001)
Primes: RFBsize:41538, AFBsize:41853, largePrimes:2461385 encountered
Relations: rels:1937861, finalFF:105591
Max relations in full relation-set: 28
Initial matrix: 83457 x 105591 with sparse part having weight 2650651.
Pruned matrix : 56554 x 57035 with weight 1104019.
Total sieving time: 0.35 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.01 hours.
Total square root time: 0.01 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,102,5,0,0,0,0,0,0,0,0,500000,500000,28,28,48,48,2.2,2.2,20000
total time: 0.41 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

5×10109-113

c97

name 名前Robert Backstrom
date 日付April 9, 2008 21:53:52 UTC 2008 年 4 月 10 日 (木) 6 時 53 分 52 秒 (日本時間)
composite number 合成数
1771036874525070822374648501830238166133881620208586958880054762463370206158638090923036213352669<97>
prime factors 素因数
58445511121979509375071556501778835511<38>
30302359249263881160048008087323480234166016216705306154379<59>
factorization results 素因数分解の結果
GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 1771036874525070822374648501830238166133881620208586958880054762463370206158638090923036213352669 (97 digits)
Using B1=1222000, B2=1117141046, polynomial Dickson(6), sigma=3302392174
Step 1 took 7163ms
Step 2 took 4386ms
********** Factor found in step 2: 58445511121979509375071556501778835511
Found probable prime factor of 38 digits: 58445511121979509375071556501778835511
Probable prime cofactor 30302359249263881160048008087323480234166016216705306154379 has 59 digits

5×10115-113

c85

name 名前Robert Backstrom
date 日付April 10, 2008 02:42:03 UTC 2008 年 4 月 10 日 (木) 11 時 42 分 3 秒 (日本時間)
composite number 合成数
2028032636490141387528493438386065303545798771129933058079434458815434399092986538333<85>
prime factors 素因数
101724403988483751381031110691554232729<39>
19936539876112083560045113778507889458461515877<47>
factorization results 素因数分解の結果
Thu Apr 10 08:23:12 2008  
Thu Apr 10 08:23:12 2008  
Thu Apr 10 08:23:12 2008  Msieve v. 1.34
Thu Apr 10 08:23:12 2008  random seeds: 37c399e0 09f2c22c
Thu Apr 10 08:23:12 2008  factoring 2028032636490141387528493438386065303545798771129933058079434458815434399092986538333 (85 digits)
Thu Apr 10 08:23:12 2008  searching for 15-digit factors
Thu Apr 10 08:23:13 2008  commencing quadratic sieve (85-digit input)
Thu Apr 10 08:23:13 2008  using multiplier of 37
Thu Apr 10 08:23:13 2008  using 64kb Opteron sieve core
Thu Apr 10 08:23:13 2008  sieve interval: 6 blocks of size 65536
Thu Apr 10 08:23:13 2008  processing polynomials in batches of 17
Thu Apr 10 08:23:13 2008  using a sieve bound of 1426129 (54372 primes)
Thu Apr 10 08:23:13 2008  using large prime bound of 116942578 (26 bits)
Thu Apr 10 08:23:13 2008  using double large prime bound of 332928269126164 (41-49 bits)
Thu Apr 10 08:23:13 2008  using trial factoring cutoff of 49 bits
Thu Apr 10 08:23:13 2008  polynomial 'A' values have 11 factors
Thu Apr 10 08:47:08 2008  54480 relations (16137 full + 38343 combined from 569033 partial), need 54468
Thu Apr 10 08:47:08 2008  begin with 585169 relations
Thu Apr 10 08:47:09 2008  reduce to 127178 relations in 10 passes
Thu Apr 10 08:47:09 2008  attempting to read 127178 relations
Thu Apr 10 08:47:10 2008  recovered 127178 relations
Thu Apr 10 08:47:10 2008  recovered 106669 polynomials
Thu Apr 10 08:47:10 2008  attempting to build 54480 cycles
Thu Apr 10 08:47:10 2008  found 54480 cycles in 5 passes
Thu Apr 10 08:47:10 2008  distribution of cycle lengths:
Thu Apr 10 08:47:10 2008     length 1 : 16137
Thu Apr 10 08:47:10 2008     length 2 : 11237
Thu Apr 10 08:47:10 2008     length 3 : 9540
Thu Apr 10 08:47:10 2008     length 4 : 6859
Thu Apr 10 08:47:10 2008     length 5 : 4566
Thu Apr 10 08:47:10 2008     length 6 : 2788
Thu Apr 10 08:47:10 2008     length 7 : 1597
Thu Apr 10 08:47:10 2008     length 9+: 1756
Thu Apr 10 08:47:10 2008  largest cycle: 19 relations
Thu Apr 10 08:47:11 2008  matrix is 54372 x 54480 (11.8 MB) with weight 2874410 (52.76/col)
Thu Apr 10 08:47:11 2008  sparse part has weight 2874410 (52.76/col)
Thu Apr 10 08:47:11 2008  filtering completed in 3 passes
Thu Apr 10 08:47:11 2008  matrix is 49520 x 49584 (10.8 MB) with weight 2639553 (53.23/col)
Thu Apr 10 08:47:11 2008  sparse part has weight 2639553 (53.23/col)
Thu Apr 10 08:47:11 2008  saving the first 48 matrix rows for later
Thu Apr 10 08:47:11 2008  matrix is 49472 x 49584 (6.4 MB) with weight 1990780 (40.15/col)
Thu Apr 10 08:47:11 2008  sparse part has weight 1368376 (27.60/col)
Thu Apr 10 08:47:11 2008  matrix includes 64 packed rows
Thu Apr 10 08:47:11 2008  commencing Lanczos iteration
Thu Apr 10 08:47:11 2008  memory use: 8.2 MB
Thu Apr 10 08:47:59 2008  lanczos halted after 783 iterations (dim = 49462)
Thu Apr 10 08:47:59 2008  recovered 11 nontrivial dependencies
Thu Apr 10 08:47:59 2008  prp39 factor: 101724403988483751381031110691554232729
Thu Apr 10 08:47:59 2008  prp47 factor: 19936539876112083560045113778507889458461515877
Thu Apr 10 08:47:59 2008  elapsed time 00:24:47

5×10119-113

c111

name 名前Sinkiti Sibata
date 日付April 10, 2008 05:07:47 UTC 2008 年 4 月 10 日 (木) 14 時 7 分 47 秒 (日本時間)
composite number 合成数
946646960279028659715896214466534268244143257606707337535752891397296333493000489535755981252974684242545802221<111>
prime factors 素因数
101104783942079007388364625845026040897<39>
9363028368878613663743614793519812822060379795258031152047919513400120493<73>
factorization results 素因数分解の結果
Number: 16663_119
N=946646960279028659715896214466534268244143257606707337535752891397296333493000489535755981252974684242545802221
  ( 111 digits)
SNFS difficulty: 120 digits.
Divisors found:
 r1=101104783942079007388364625845026040897 (pp39)
 r2=9363028368878613663743614793519812822060379795258031152047919513400120493 (pp73)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 2.13 hours.
Scaled time: 1.43 units (timescale=0.675).
Factorization parameters were as follows:
name: 16663_119
n: 946646960279028659715896214466534268244143257606707337535752891397296333493000489535755981252974684242545802221
m: 1000000000000000000000000
c5: 1
c0: -22
skew: 1.86
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:64044, largePrimes:2132126 encountered
Relations: rels:2254968, finalFF:263067
Max relations in full relation-set: 28
Initial matrix: 113206 x 263067 with sparse part having weight 22310391.
Pruned matrix : 81108 x 81738 with weight 4690802.
Total sieving time: 1.92 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,120,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.13 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

5×10124-113

c114

name 名前Sinkiti Sibata
date 日付April 10, 2008 08:32:24 UTC 2008 年 4 月 10 日 (木) 17 時 32 分 24 秒 (日本時間)
composite number 合成数
106986778572237188918038053454011120432923406069133029873611126531552369406827118389351077489337777850129398430037<114>
prime factors 素因数
79040799952020878573456251998858247<35>
1353563964903948324773516845167090881007930444243617150102530821798840472293571<79>
factorization results 素因数分解の結果
Number: 16663_124
N=106986778572237188918038053454011120432923406069133029873611126531552369406827118389351077489337777850129398430037
  ( 114 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=79040799952020878573456251998858247 (pp35)
 r2=1353563964903948324773516845167090881007930444243617150102530821798840472293571 (pp79)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 3.07 hours.
Scaled time: 2.07 units (timescale=0.675).
Factorization parameters were as follows:
name: 16663_124
n: 106986778572237188918038053454011120432923406069133029873611126531552369406827118389351077489337777850129398430037
m: 10000000000000000000000000
c5: 1
c0: -22
skew: 1.86
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, 650001)
Primes: RFBsize:49098, AFBsize:64044, largePrimes:2230601 encountered
Relations: rels:2398863, finalFF:282622
Max relations in full relation-set: 28
Initial matrix: 113206 x 282622 with sparse part having weight 27237143.
Pruned matrix : 84072 x 84702 with weight 6352895.
Total sieving time: 2.83 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,125,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 3.07 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

5×10125-113

c102

name 名前Robert Backstrom
date 日付April 9, 2008 22:10:11 UTC 2008 年 4 月 10 日 (木) 7 時 10 分 11 秒 (日本時間)
composite number 合成数
481050982713498764144850186096133838851051557085332995048546077664463141540401907927878159130855195397<102>
prime factors 素因数
2082317813011810225828417141867<31>
231017080921821034361454488681781206591379258747165236540837184499456591<72>
factorization results 素因数分解の結果
GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 481050982713498764144850186096133838851051557085332995048546077664463141540401907927878159130855195397 (102 digits)
Using B1=386000, B2=216273923, polynomial Dickson(3), sigma=541560367
Step 1 took 2512ms
Step 2 took 1703ms
********** Factor found in step 2: 2082317813011810225828417141867
Found probable prime factor of 31 digits: 2082317813011810225828417141867
Probable prime cofactor 231017080921821034361454488681781206591379258747165236540837184499456591 has 72 digits

5×10126-113

c114

name 名前Robert Backstrom
date 日付April 10, 2008 04:41:01 UTC 2008 年 4 月 10 日 (木) 13 時 41 分 1 秒 (日本時間)
composite number 合成数
182666485564512480286199842770473113380890893561775030331297841982007142001745032870406824625614600794059331696993<114>
prime factors 素因数
136601909891494683571867166667984462907181<42>
1337217654640463702420039415634113857360702296152706815677177592790424453<73>
factorization results 素因数分解の結果
Number: n
N=182666485564512480286199842770473113380890893561775030331297841982007142001745032870406824625614600794059331696993
  ( 114 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=136601909891494683571867166667984462907181 (pp42)
 r2=1337217654640463702420039415634113857360702296152706815677177592790424453 (pp73)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 1.66 hours.
Scaled time: 3.03 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_1_6_125_3
n: 182666485564512480286199842770473113380890893561775030331297841982007142001745032870406824625614600794059331696993
skew: 0.74
deg: 5
c5: 50
c0: -11
m: 10000000000000000000000000
type: snfs
rlim: 1000000
alim: 1000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 25000
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 300001)
Primes: RFBsize:78498, AFBsize:78657, largePrimes:4602854 encountered
Relations: rels:3926609, finalFF:176847
Max relations in full relation-set: 48
Initial matrix: 157220 x 176847 with sparse part having weight 12529569.
Pruned matrix : 145751 x 146601 with weight 7887455.
Total sieving time: 1.48 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.09 hours.
Total square root time: 0.02 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,126,5,0,0,0,0,0,0,0,0,1000000,1000000,28,28,48,48,2.5,2.5,50000
total time: 1.66 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

5×10129-113

c124

name 名前Sinkiti Sibata
date 日付April 11, 2008 00:01:01 UTC 2008 年 4 月 11 日 (金) 9 時 1 分 1 秒 (日本時間)
composite number 合成数
6440302900326008132814502531683070118153797009380945204614863446257604387649559934102820723864284785042010095818826551050349<124>
prime factors 素因数
5066833232812900348371444210929217377<37>
1271070628221685741151778990506755714714922860599778130191770040148883980132610080516237<88>
factorization results 素因数分解の結果
Number: 16663_129
N=6440302900326008132814502531683070118153797009380945204614863446257604387649559934102820723864284785042010095818826551050349
  ( 124 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=5066833232812900348371444210929217377 (pp37)
 r2=1271070628221685741151778990506755714714922860599778130191770040148883980132610080516237 (pp88)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 4.48 hours.
Scaled time: 3.03 units (timescale=0.677).
Factorization parameters were as follows:
name: 16663_129
n: 6440302900326008132814502531683070118153797009380945204614863446257604387649559934102820723864284785042010095818826551050349
m: 100000000000000000000000000
c5: 1
c0: -22
skew: 1.86
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, 850001)
Primes: RFBsize:63951, AFBsize:64044, largePrimes:1431982 encountered
Relations: rels:1420951, finalFF:163891
Max relations in full relation-set: 28
Initial matrix: 128059 x 163891 with sparse part having weight 9321009.
Pruned matrix : 116287 x 116991 with weight 5139628.
Total sieving time: 4.18 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.18 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,130,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 4.48 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

5×10130-113

c84

name 名前Robert Backstrom
date 日付April 9, 2008 20:45:20 UTC 2008 年 4 月 10 日 (木) 5 時 45 分 20 秒 (日本時間)
composite number 合成数
175267504642702938111355460808186924830894068594953007850403305175511376635641336313<84>
prime factors 素因数
53531600126183563743099708638553112189<38>
3274094258896914280404842697764802626556431917<46>
factorization results 素因数分解の結果
GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 175267504642702938111355460808186924830894068594953007850403305175511376635641336313 (84 digits)
Using B1=362000, B2=197370270, polynomial Dickson(3), sigma=1413073716
Step 1 took 1773ms
Step 2 took 1592ms
********** Factor found in step 2: 53531600126183563743099708638553112189
Found probable prime factor of 38 digits: 53531600126183563743099708638553112189
Probable prime cofactor 3274094258896914280404842697764802626556431917 has 46 digits

5×10133-113

c111

name 名前Sinkiti Sibata
date 日付April 11, 2008 07:37:18 UTC 2008 年 4 月 11 日 (金) 16 時 37 分 18 秒 (日本時間)
composite number 合成数
242362215037246103331022315073602170502581559779716014453310837872533146895368113827105214017523348267987790263<111>
prime factors 素因数
26383737838315756222354254062173633796804502149<47>
9186045454305410246170305021305223071642869327656871729015051787<64>
factorization results 素因数分解の結果
Number: 16663_133
N=242362215037246103331022315073602170502581559779716014453310837872533146895368113827105214017523348267987790263
  ( 111 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=26383737838315756222354254062173633796804502149 (pp47)
 r2=9186045454305410246170305021305223071642869327656871729015051787 (pp64)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 7.41 hours.
Scaled time: 5.02 units (timescale=0.677).
Factorization parameters were as follows:
name: 16663_133
n: 242362215037246103331022315073602170502581559779716014453310837872533146895368113827105214017523348267987790263
m: 500000000000000000000000000
c5: 8
c0: -55
skew: 1.47
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, 1150001)
Primes: RFBsize:78498, AFBsize:64019, largePrimes:1542285 encountered
Relations: rels:1556716, finalFF:188341
Max relations in full relation-set: 28
Initial matrix: 142582 x 188341 with sparse part having weight 14359518.
Pruned matrix : 127065 x 127841 with weight 7978424.
Total sieving time: 6.99 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.28 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,134,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 7.41 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

5×10134-113

c109

name 名前Sinkiti Sibata
date 日付April 12, 2008 08:53:00 UTC 2008 年 4 月 12 日 (土) 17 時 53 分 0 秒 (日本時間)
composite number 合成数
3416452925032645934485143394771495867369932302980206841897365478739597445039157195025694908555018430187358833<109>
prime factors 素因数
1514562294684404165773916125751733937523450013323054647<55>
2255736153622223157008861495416148949542640027113330839<55>
factorization results 素因数分解の結果
Number: 16663_134
N=3416452925032645934485143394771495867369932302980206841897365478739597445039157195025694908555018430187358833
  ( 109 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=1514562294684404165773916125751733937523450013323054647 (pp55)
 r2=2255736153622223157008861495416148949542640027113330839 (pp55)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 6.96 hours.
Scaled time: 4.71 units (timescale=0.677).
Factorization parameters were as follows:
name: 16663_134
n: 3416452925032645934485143394771495867369932302980206841897365478739597445039157195025694908555018430187358833
m: 1000000000000000000000000000
c5: 1
c0: -22
skew: 1.86
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:64044, largePrimes:1509703 encountered
Relations: rels:1514301, finalFF:179475
Max relations in full relation-set: 28
Initial matrix: 142606 x 179475 with sparse part having weight 12642214.
Pruned matrix : 129762 x 130539 with weight 7432855.
Total sieving time: 6.54 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.28 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: 6.96 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

5×10135-113

c132

name 名前Robert Backstrom
date 日付April 10, 2008 10:35:54 UTC 2008 年 4 月 10 日 (木) 19 時 35 分 54 秒 (日本時間)
composite number 合成数
721813194745199942254944420384004619604446369279630431644290457629565468456763389634762523458928829218998123285693662480150137144507<132>
prime factors 素因数
769471589341802815698410458609829329351462222537643<51>
938063477252786787981200026222114693270614493438014472876357993296728209029600049<81>
factorization results 素因数分解の結果
Number: n
N=721813194745199942254944420384004619604446369279630431644290457629565468456763389634762523458928829218998123285693662480150137144507
  ( 132 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=769471589341802815698410458609829329351462222537643 (pp51)
 r2=938063477252786787981200026222114693270614493438014472876357993296728209029600049 (pp81)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 2.40 hours.
Scaled time: 4.40 units (timescale=1.834).
Factorization parameters were as follows:
name: KA_1_6_134_3
n: 721813194745199942254944420384004619604446369279630431644290457629565468456763389634762523458928829218998123285693662480150137144507
skew: 1.17
deg: 5
c5: 5
c0: -11
m: 1000000000000000000000000000
type: snfs
rlim: 1200000
alim: 1200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 25000
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 475001)
Primes: RFBsize:92938, AFBsize:93450, largePrimes:5497865 encountered
Relations: rels:4850841, finalFF:262120
Max relations in full relation-set: 48
Initial matrix: 186453 x 262120 with sparse part having weight 23107069.
Pruned matrix : 153848 x 154844 with weight 9218030.
Total sieving time: 2.18 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.12 hours.
Total square root time: 0.02 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,135,5,0,0,0,0,0,0,0,0,1200000,1200000,28,28,48,48,2.5,2.5,75000
total time: 2.40 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

5×10136-113

c89

name 名前Sinkiti Sibata
date 日付April 10, 2008 02:44:12 UTC 2008 年 4 月 10 日 (木) 11 時 44 分 12 秒 (日本時間)
composite number 合成数
11337583753073106518116561988542402958930646986405793606004811557150675788314536611209999<89>
prime factors 素因数
8068301980104416383890347409737059<34>
1405200720180081873965164341710238376930548187931746661<55>
factorization results 素因数分解の結果
Thu Apr 10 09:33:05 2008  Msieve v. 1.33
Thu Apr 10 09:33:05 2008  random seeds: 0142229e 3af44813
Thu Apr 10 09:33:05 2008  factoring 11337583753073106518116561988542402958930646986405793606004811557150675788314536611209999 (89 digits)
Thu Apr 10 09:33:06 2008  searching for 15-digit factors
Thu Apr 10 09:33:08 2008  commencing quadratic sieve (89-digit input)
Thu Apr 10 09:33:08 2008  using multiplier of 3
Thu Apr 10 09:33:08 2008  using 64kb Pentium 4 sieve core
Thu Apr 10 09:33:08 2008  sieve interval: 14 blocks of size 65536
Thu Apr 10 09:33:08 2008  processing polynomials in batches of 8
Thu Apr 10 09:33:08 2008  using a sieve bound of 1533307 (58333 primes)
Thu Apr 10 09:33:08 2008  using large prime bound of 122664560 (26 bits)
Thu Apr 10 09:33:08 2008  using double large prime bound of 362822632808640 (42-49 bits)
Thu Apr 10 09:33:08 2008  using trial factoring cutoff of 49 bits
Thu Apr 10 09:33:08 2008  polynomial 'A' values have 11 factors
Thu Apr 10 11:40:42 2008  58719 relations (15129 full + 43590 combined from 628696 partial), need 58429
Thu Apr 10 11:40:45 2008  begin with 643825 relations
Thu Apr 10 11:40:45 2008  reduce to 144836 relations in 11 passes
Thu Apr 10 11:40:45 2008  attempting to read 144836 relations
Thu Apr 10 11:40:49 2008  recovered 144836 relations
Thu Apr 10 11:40:49 2008  recovered 127614 polynomials
Thu Apr 10 11:40:49 2008  attempting to build 58719 cycles
Thu Apr 10 11:40:49 2008  found 58719 cycles in 5 passes
Thu Apr 10 11:40:49 2008  distribution of cycle lengths:
Thu Apr 10 11:40:49 2008     length 1 : 15129
Thu Apr 10 11:40:49 2008     length 2 : 11176
Thu Apr 10 11:40:49 2008     length 3 : 10479
Thu Apr 10 11:40:49 2008     length 4 : 7871
Thu Apr 10 11:40:49 2008     length 5 : 5641
Thu Apr 10 11:40:49 2008     length 6 : 3557
Thu Apr 10 11:40:49 2008     length 7 : 2180
Thu Apr 10 11:40:49 2008     length 9+: 2686
Thu Apr 10 11:40:49 2008  largest cycle: 17 relations
Thu Apr 10 11:40:50 2008  matrix is 58333 x 58719 (14.4 MB) with weight 3540941 (60.30/col)
Thu Apr 10 11:40:50 2008  sparse part has weight 3540941 (60.30/col)
Thu Apr 10 11:40:51 2008  filtering completed in 3 passes
Thu Apr 10 11:40:51 2008  matrix is 54761 x 54825 (13.5 MB) with weight 3321850 (60.59/col)
Thu Apr 10 11:40:51 2008  sparse part has weight 3321850 (60.59/col)
Thu Apr 10 11:40:51 2008  saving the first 48 matrix rows for later
Thu Apr 10 11:40:51 2008  matrix is 54713 x 54825 (9.5 MB) with weight 2731547 (49.82/col)
Thu Apr 10 11:40:51 2008  sparse part has weight 2167317 (39.53/col)
Thu Apr 10 11:40:51 2008  matrix includes 64 packed rows
Thu Apr 10 11:40:51 2008  using block size 21845 for processor cache size 512 kB
Thu Apr 10 11:40:52 2008  commencing Lanczos iteration
Thu Apr 10 11:40:52 2008  memory use: 8.8 MB
Thu Apr 10 11:41:28 2008  lanczos halted after 866 iterations (dim = 54712)
Thu Apr 10 11:41:28 2008  recovered 17 nontrivial dependencies
Thu Apr 10 11:41:29 2008  prp34 factor: 8068301980104416383890347409737059
Thu Apr 10 11:41:29 2008  prp55 factor: 1405200720180081873965164341710238376930548187931746661
Thu Apr 10 11:41:29 2008  elapsed time 02:08:24
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

5×10138-113

c88

name 名前Sinkiti Sibata
date 日付April 10, 2008 00:28:00 UTC 2008 年 4 月 10 日 (木) 9 時 28 分 0 秒 (日本時間)
composite number 合成数
3505682302300098820331687118529707211660926175889383687226721329786765058955918985974337<88>
prime factors 素因数
566733070758170868253771341604578479<36>
6185773308782255639310478822145178597967633181529103<52>
factorization results 素因数分解の結果
Thu Apr 10 07:48:01 2008  Msieve v. 1.33
Thu Apr 10 07:48:01 2008  random seeds: 6c3c1403 9c5365fb
Thu Apr 10 07:48:01 2008  factoring 3505682302300098820331687118529707211660926175889383687226721329786765058955918985974337 (88 digits)
Thu Apr 10 07:48:02 2008  searching for 15-digit factors
Thu Apr 10 07:48:04 2008  commencing quadratic sieve (88-digit input)
Thu Apr 10 07:48:04 2008  using multiplier of 17
Thu Apr 10 07:48:04 2008  using 64kb Pentium 4 sieve core
Thu Apr 10 07:48:04 2008  sieve interval: 13 blocks of size 65536
Thu Apr 10 07:48:04 2008  processing polynomials in batches of 8
Thu Apr 10 07:48:04 2008  using a sieve bound of 1510507 (57667 primes)
Thu Apr 10 07:48:04 2008  using large prime bound of 120840560 (26 bits)
Thu Apr 10 07:48:04 2008  using double large prime bound of 353169224858800 (42-49 bits)
Thu Apr 10 07:48:04 2008  using trial factoring cutoff of 49 bits
Thu Apr 10 07:48:04 2008  polynomial 'A' values have 11 factors
Thu Apr 10 09:21:58 2008  58012 relations (16032 full + 41980 combined from 609335 partial), need 57763
Thu Apr 10 09:22:01 2008  begin with 625367 relations
Thu Apr 10 09:22:01 2008  reduce to 139986 relations in 9 passes
Thu Apr 10 09:22:01 2008  attempting to read 139986 relations
Thu Apr 10 09:22:05 2008  recovered 139986 relations
Thu Apr 10 09:22:05 2008  recovered 119002 polynomials
Thu Apr 10 09:22:05 2008  attempting to build 58012 cycles
Thu Apr 10 09:22:05 2008  found 58011 cycles in 4 passes
Thu Apr 10 09:22:05 2008  distribution of cycle lengths:
Thu Apr 10 09:22:05 2008     length 1 : 16032
Thu Apr 10 09:22:05 2008     length 2 : 11280
Thu Apr 10 09:22:05 2008     length 3 : 10151
Thu Apr 10 09:22:05 2008     length 4 : 7452
Thu Apr 10 09:22:05 2008     length 5 : 5389
Thu Apr 10 09:22:05 2008     length 6 : 3403
Thu Apr 10 09:22:05 2008     length 7 : 1988
Thu Apr 10 09:22:05 2008     length 9+: 2316
Thu Apr 10 09:22:05 2008  largest cycle: 18 relations
Thu Apr 10 09:22:06 2008  matrix is 57667 x 58011 (14.0 MB) with weight 3443627 (59.36/col)
Thu Apr 10 09:22:06 2008  sparse part has weight 3443627 (59.36/col)
Thu Apr 10 09:22:07 2008  filtering completed in 3 passes
Thu Apr 10 09:22:07 2008  matrix is 53492 x 53555 (13.0 MB) with weight 3196363 (59.68/col)
Thu Apr 10 09:22:07 2008  sparse part has weight 3196363 (59.68/col)
Thu Apr 10 09:22:07 2008  saving the first 48 matrix rows for later
Thu Apr 10 09:22:07 2008  matrix is 53444 x 53555 (9.6 MB) with weight 2662668 (49.72/col)
Thu Apr 10 09:22:07 2008  sparse part has weight 2200954 (41.10/col)
Thu Apr 10 09:22:07 2008  matrix includes 64 packed rows
Thu Apr 10 09:22:07 2008  using block size 21422 for processor cache size 512 kB
Thu Apr 10 09:22:08 2008  commencing Lanczos iteration
Thu Apr 10 09:22:08 2008  memory use: 8.7 MB
Thu Apr 10 09:22:37 2008  lanczos halted after 846 iterations (dim = 53440)
Thu Apr 10 09:22:38 2008  recovered 15 nontrivial dependencies
Thu Apr 10 09:22:38 2008  prp36 factor: 566733070758170868253771341604578479
Thu Apr 10 09:22:38 2008  prp52 factor: 6185773308782255639310478822145178597967633181529103
Thu Apr 10 09:22:38 2008  elapsed time 01:34:37
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

5×10141-113

c111

name 名前Jo Yeong Uk
date 日付April 10, 2008 00:37:23 UTC 2008 年 4 月 10 日 (木) 9 時 37 分 23 秒 (日本時間)
composite number 合成数
696358135462088578813446736178890712727803288335440814070505956988850507681842041668152120846656912804575301221<111>
prime factors 素因数
15188722265464115071522657576259<32>
7712334843403732256679766516486637<34>
5944639679663139196197290964556363337121607987<46>
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 696358135462088578813446736178890712727803288335440814070505956988850507681842041668152120846656912804575301221 (111 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=27529222
Step 1 took 5479ms
Step 2 took 3342ms
********** Factor found in step 2: 15188722265464115071522657576259
Found probable prime factor of 32 digits: 15188722265464115071522657576259
Composite cofactor 45847051732946429718609863722692727709273793212213606054363232586927611237969719 has 80 digits

Thu Apr 10 09:23:24 2008  
Thu Apr 10 09:23:24 2008  
Thu Apr 10 09:23:24 2008  Msieve v. 1.34
Thu Apr 10 09:23:24 2008  random seeds: f379aa7d 8ca47774
Thu Apr 10 09:23:24 2008  factoring 45847051732946429718609863722692727709273793212213606054363232586927611237969719 (80 digits)
Thu Apr 10 09:23:24 2008  no P-1/P+1/ECM available, skipping
Thu Apr 10 09:23:24 2008  commencing quadratic sieve (80-digit input)
Thu Apr 10 09:23:24 2008  using multiplier of 5
Thu Apr 10 09:23:24 2008  using 32kb Intel Core sieve core
Thu Apr 10 09:23:24 2008  sieve interval: 12 blocks of size 32768
Thu Apr 10 09:23:24 2008  processing polynomials in batches of 17
Thu Apr 10 09:23:24 2008  using a sieve bound of 1262311 (48647 primes)
Thu Apr 10 09:23:24 2008  using large prime bound of 126231100 (26 bits)
Thu Apr 10 09:23:24 2008  using trial factoring cutoff of 27 bits
Thu Apr 10 09:23:24 2008  polynomial 'A' values have 10 factors
Thu Apr 10 09:38:17 2008  48752 relations (24624 full + 24128 combined from 267948 partial), need 48743
Thu Apr 10 09:38:17 2008  begin with 292572 relations
Thu Apr 10 09:38:17 2008  reduce to 69970 relations in 2 passes
Thu Apr 10 09:38:17 2008  attempting to read 69970 relations
Thu Apr 10 09:38:18 2008  recovered 69970 relations
Thu Apr 10 09:38:18 2008  recovered 60666 polynomials
Thu Apr 10 09:38:18 2008  attempting to build 48752 cycles
Thu Apr 10 09:38:18 2008  found 48752 cycles in 1 passes
Thu Apr 10 09:38:18 2008  distribution of cycle lengths:
Thu Apr 10 09:38:18 2008     length 1 : 24624
Thu Apr 10 09:38:18 2008     length 2 : 24128
Thu Apr 10 09:38:18 2008  largest cycle: 2 relations
Thu Apr 10 09:38:18 2008  matrix is 48647 x 48752 (7.2 MB) with weight 1506429 (30.90/col)
Thu Apr 10 09:38:18 2008  sparse part has weight 1506429 (30.90/col)
Thu Apr 10 09:38:18 2008  filtering completed in 4 passes
Thu Apr 10 09:38:18 2008  matrix is 41826 x 41890 (6.1 MB) with weight 1269861 (30.31/col)
Thu Apr 10 09:38:18 2008  sparse part has weight 1269861 (30.31/col)
Thu Apr 10 09:38:18 2008  saving the first 48 matrix rows for later
Thu Apr 10 09:38:18 2008  matrix is 41778 x 41890 (4.4 MB) with weight 957728 (22.86/col)
Thu Apr 10 09:38:18 2008  sparse part has weight 728581 (17.39/col)
Thu Apr 10 09:38:18 2008  matrix includes 64 packed rows
Thu Apr 10 09:38:18 2008  commencing Lanczos iteration
Thu Apr 10 09:38:18 2008  memory use: 6.0 MB
Thu Apr 10 09:38:40 2008  lanczos halted after 662 iterations (dim = 41759)
Thu Apr 10 09:38:40 2008  recovered 8 nontrivial dependencies
Thu Apr 10 09:38:41 2008  prp34 factor: 7712334843403732256679766516486637
Thu Apr 10 09:38:41 2008  prp46 factor: 5944639679663139196197290964556363337121607987
Thu Apr 10 09:38:41 2008  elapsed time 00:15:17
execution environment 実行環境
Core 2 Quad Q6600

5×10143-113

c138

name 名前Robert Backstrom
date 日付April 11, 2008 07:12:48 UTC 2008 年 4 月 11 日 (金) 16 時 12 分 48 秒 (日本時間)
composite number 合成数
153373339235139427101498488198995159230667060529401822504715463314784361686235571019678106170546858775976459032907476919613045200043312631<138>
prime factors 素因数
28798534375392779303628140531657338781<38>
5325734193132791638248472962622411091501534140325790522239722750062612132583107197711871318984210851<100>
factorization results 素因数分解の結果
Number: n
N=153373339235139427101498488198995159230667060529401822504715463314784361686235571019678106170546858775976459032907476919613045200043312631
  ( 138 digits)
SNFS difficulty: 144 digits.
Divisors found:

Fri Apr 11 06:57:45 2008  prp38 factor: 28798534375392779303628140531657338781
Fri Apr 11 06:57:45 2008  prp100 factor: 5325734193132791638248472962622411091501534140325790522239722750062612132583107197711871318984210851
Fri Apr 11 06:57:45 2008  elapsed time 00:23:37 (Msieve 1.34)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 7.52 hours.
Scaled time: 13.08 units (timescale=1.739).
Factorization parameters were as follows:
name: KA_1_6_142_3
n: 153373339235139427101498488198995159230667060529401822504715463314784361686235571019678106170546858775976459032907476919613045200043312631
type: snfs
skew: 1.47
deg: 5
c5: 8
c0: -55
m: 50000000000000000000000000000
rlim: 1300000
alim: 1300000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 1299990)
Primes: RFBsize:100021, AFBsize:100094, largePrimes:5326819 encountered
Relations: rels:4686212, finalFF:250627
Max relations in full relation-set: 28
Initial matrix: 200180 x 250627 with sparse part having weight 20240544.
Pruned matrix : 
Total sieving time: 7.38 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,144,5,0,0,0,0,0,0,0,0,1300000,1300000,28,28,48,48,2.3,2.3,100000
total time: 7.52 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

5×10144-113

c86

name 名前Sinkiti Sibata
date 日付April 9, 2008 22:43:21 UTC 2008 年 4 月 10 日 (木) 7 時 43 分 21 秒 (日本時間)
composite number 合成数
13700888994800274861698196701203613805538875258560664517465359702368373723918732596513<86>
prime factors 素因数
1009810979515396265762537150309<31>
13567775824120341503281816335779422365608641008294822157<56>
factorization results 素因数分解の結果
Thu Apr 10 06:45:04 2008  Msieve v. 1.33
Thu Apr 10 06:45:04 2008  random seeds: 4d5118a6 bb53e94c
Thu Apr 10 06:45:04 2008  factoring 13700888994800274861698196701203613805538875258560664517465359702368373723918732596513 (86 digits)
Thu Apr 10 06:45:05 2008  searching for 15-digit factors
Thu Apr 10 06:45:07 2008  commencing quadratic sieve (86-digit input)
Thu Apr 10 06:45:07 2008  using multiplier of 17
Thu Apr 10 06:45:07 2008  using 64kb Pentium 4 sieve core
Thu Apr 10 06:45:07 2008  sieve interval: 6 blocks of size 65536
Thu Apr 10 06:45:07 2008  processing polynomials in batches of 17
Thu Apr 10 06:45:07 2008  using a sieve bound of 1442429 (54984 primes)
Thu Apr 10 06:45:07 2008  using large prime bound of 115394320 (26 bits)
Thu Apr 10 06:45:07 2008  using double large prime bound of 325036373888400 (41-49 bits)
Thu Apr 10 06:45:07 2008  using trial factoring cutoff of 49 bits
Thu Apr 10 06:45:07 2008  polynomial 'A' values have 11 factors
Thu Apr 10 07:35:14 2008  55128 relations (16556 full + 38572 combined from 563178 partial), need 55080
Thu Apr 10 07:35:17 2008  begin with 579734 relations
Thu Apr 10 07:35:17 2008  reduce to 127826 relations in 12 passes
Thu Apr 10 07:35:17 2008  attempting to read 127826 relations
Thu Apr 10 07:35:21 2008  recovered 127826 relations
Thu Apr 10 07:35:21 2008  recovered 106966 polynomials
Thu Apr 10 07:35:21 2008  attempting to build 55128 cycles
Thu Apr 10 07:35:21 2008  found 55128 cycles in 5 passes
Thu Apr 10 07:35:21 2008  distribution of cycle lengths:
Thu Apr 10 07:35:21 2008     length 1 : 16556
Thu Apr 10 07:35:21 2008     length 2 : 11240
Thu Apr 10 07:35:21 2008     length 3 : 9653
Thu Apr 10 07:35:21 2008     length 4 : 7016
Thu Apr 10 07:35:21 2008     length 5 : 4631
Thu Apr 10 07:35:21 2008     length 6 : 2772
Thu Apr 10 07:35:21 2008     length 7 : 1589
Thu Apr 10 07:35:21 2008     length 9+: 1671
Thu Apr 10 07:35:21 2008  largest cycle: 20 relations
Thu Apr 10 07:35:21 2008  matrix is 54984 x 55128 (12.1 MB) with weight 2963153 (53.75/col)
Thu Apr 10 07:35:21 2008  sparse part has weight 2963153 (53.75/col)
Thu Apr 10 07:35:22 2008  filtering completed in 3 passes
Thu Apr 10 07:35:22 2008  matrix is 49629 x 49691 (11.1 MB) with weight 2706362 (54.46/col)
Thu Apr 10 07:35:22 2008  sparse part has weight 2706362 (54.46/col)
Thu Apr 10 07:35:22 2008  saving the first 48 matrix rows for later
Thu Apr 10 07:35:22 2008  matrix is 49581 x 49691 (6.8 MB) with weight 2076867 (41.80/col)
Thu Apr 10 07:35:22 2008  sparse part has weight 1488655 (29.96/col)
Thu Apr 10 07:35:22 2008  matrix includes 64 packed rows
Thu Apr 10 07:35:22 2008  commencing Lanczos iteration
Thu Apr 10 07:35:22 2008  memory use: 8.7 MB
Thu Apr 10 07:37:04 2008  lanczos halted after 786 iterations (dim = 49581)
Thu Apr 10 07:37:05 2008  recovered 18 nontrivial dependencies
Thu Apr 10 07:37:05 2008  prp31 factor: 1009810979515396265762537150309
Thu Apr 10 07:37:05 2008  prp56 factor: 13567775824120341503281816335779422365608641008294822157
Thu Apr 10 07:37:05 2008  elapsed time 00:52:01
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

5×10145-113

c117

name 名前Sinkiti Sibata
date 日付April 12, 2008 05:14:56 UTC 2008 年 4 月 12 日 (土) 14 時 14 分 56 秒 (日本時間)
composite number 合成数
619710213184906401442171112855315553108109013330960148072201601903639776804276018815261015424998164044556841277584351<117>
prime factors 素因数
782208664539194981412341792228712859716363821171<48>
792256901871551573562908486122649158368373345051205572768889156804581<69>
factorization results 素因数分解の結果
Number: 16663_145
N=619710213184906401442171112855315553108109013330960148072201601903639776804276018815261015424998164044556841277584351
  ( 117 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=782208664539194981412341792228712859716363821171 (pp48)
 r2=792256901871551573562908486122649158368373345051205572768889156804581 (pp69)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 16.78 hours.
Scaled time: 11.36 units (timescale=0.677).
Factorization parameters were as follows:
name: 16663_145
n: 619710213184906401442171112855315553108109013330960148072201601903639776804276018815261015424998164044556841277584351
m: 100000000000000000000000000000
c5: 5
c0: -11
skew: 1.17
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, 2250001)
Primes: RFBsize:100021, AFBsize:100464, largePrimes:2713581 encountered
Relations: rels:2665288, finalFF:225945
Max relations in full relation-set: 28
Initial matrix: 200550 x 225945 with sparse part having weight 23304396.
Pruned matrix : 193546 x 194612 with weight 18417270.
Total sieving time: 15.37 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.17 hours.
Time per square root: 0.10 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: 16.78 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

5×10148-113

c114

name 名前Sinkiti Sibata
date 日付April 14, 2008 01:46:50 UTC 2008 年 4 月 14 日 (月) 10 時 46 分 50 秒 (日本時間)
composite number 合成数
882986595501858891160847091201028575717445778711899220284603910447793803044973296304248132142102675473785400373639<114>
prime factors 素因数
77581006255394308296816310422507819092440721<44>
11381479025872568962993334130062892789418939418216468034738922176619159<71>
factorization results 素因数分解の結果
Number: 16663_148
N=882986595501858891160847091201028575717445778711899220284603910447793803044973296304248132142102675473785400373639
  ( 114 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=77581006255394308296816310422507819092440721 (pp44)
 r2=11381479025872568962993334130062892789418939418216468034738922176619159 (pp71)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 30.17 hours.
Scaled time: 20.43 units (timescale=0.677).
Factorization parameters were as follows:
name: 16663_148
n: 882986595501858891160847091201028575717445778711899220284603910447793803044973296304248132142102675473785400373639
m: 500000000000000000000000000000
c5: 8
c0: -55
skew: 1.47
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, 3650001)
Primes: RFBsize:114155, AFBsize:114253, largePrimes:2934910 encountered
Relations: rels:2944993, finalFF:258683
Max relations in full relation-set: 28
Initial matrix: 228473 x 258683 with sparse part having weight 30088083.
Pruned matrix : 220063 x 221269 with weight 24230101.
Total sieving time: 27.97 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 1.87 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,149,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 30.17 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

5×10150-113

c148

name 名前Robert Backstrom
date 日付April 11, 2008 07:57:39 UTC 2008 年 4 月 11 日 (金) 16 時 57 分 39 秒 (日本時間)
composite number 合成数
1343002954606500134300295460650013430029546065001343002954606500134300295460650013430029546065001343002954606500134300295460650013430029546065001343<148>
prime factors 素因数
421508304886553720011487693851764078006034468054366993384417<60>
3186183852220802244203025392870376136376593039760043939060786645463566852296231191997279<88>
factorization results 素因数分解の結果
Number: n
N=1343002954606500134300295460650013430029546065001343002954606500134300295460650013430029546065001343002954606500134300295460650013430029546065001343
  ( 148 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=421508304886553720011487693851764078006034468054366993384417 (pp60)
 r2=3186183852220802244203025392870376136376593039760043939060786645463566852296231191997279 (pp88)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 10.06 hours.
Scaled time: 18.40 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_1_6_149_3
n: 1343002954606500134300295460650013430029546065001343002954606500134300295460650013430029546065001343002954606500134300295460650013430029546065001343
skew: 1.17
deg: 5
c5: 5
c0: -11
m: 1000000000000000000000000000000
type: snfs
rlim: 2000000
alim: 2000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 700001)
Primes: RFBsize:148933, AFBsize:149461, largePrimes:6183051 encountered
Relations: rels:5595336, finalFF:372683
Max relations in full relation-set: 48
Initial matrix: 298459 x 372683 with sparse part having weight 30927493.
Pruned matrix : 243552 x 245108 with weight 16516457.
Total sieving time: 9.53 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.40 hours.
Total square root time: 0.03 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,2000000,2000000,28,28,48,48,2.5,2.5,100000
total time: 10.06 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

5×10151-113

c127

name 名前Robert Backstrom
date 日付April 11, 2008 08:04:15 UTC 2008 年 4 月 11 日 (金) 17 時 4 分 15 秒 (日本時間)
composite number 合成数
1060036257849146338773355785054145385311743017990749268402929154561767396758361119623350696044828967927053540184320041754569251<127>
prime factors 素因数
46530459068806937674122576450802907831043811<44>
22781555975659239394922705505015311151556624542606348511511085464549559681088943041<83>
factorization results 素因数分解の結果
Number: n
N=1060036257849146338773355785054145385311743017990749268402929154561767396758361119623350696044828967927053540184320041754569251
  ( 127 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=46530459068806937674122576450802907831043811 (pp44)
 r2=22781555975659239394922705505015311151556624542606348511511085464549559681088943041 (pp83)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 12.84 hours.
Scaled time: 23.49 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_1_6_150_3
n: 1060036257849146338773355785054145385311743017990749268402929154561767396758361119623350696044828967927053540184320041754569251
skew: 0.74
deg: 5
c5: 50
c0: -11
m: 1000000000000000000000000000000
type: snfs
rlim: 2000000
alim: 2000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 900001)
Primes: RFBsize:148933, AFBsize:149221, largePrimes:6479496 encountered
Relations: rels:5837996, finalFF:344927
Max relations in full relation-set: 48
Initial matrix: 298219 x 344927 with sparse part having weight 33847276.
Pruned matrix : 270062 x 271617 with weight 21493159.
Total sieving time: 12.13 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.56 hours.
Total square root time: 0.04 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2000000,2000000,28,28,48,48,2.5,2.5,100000
total time: 12.84 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

5×10153-113

c147

name 名前Robert Backstrom
date 日付April 12, 2008 00:52:09 UTC 2008 年 4 月 12 日 (土) 9 時 52 分 9 秒 (日本時間)
composite number 合成数
436410876650822333378981911031009349404774841227176911281072781725696038253333546301841138934632022276505916465895842863455852195666038496850815473<147>
prime factors 素因数
24146838789382262583920577322514279965903<41>
28350609396736902451470157465466104446889245761819<50>
637489278118176076476491206382010478850794755031832879789<57>
factorization results 素因数分解の結果
Number: n
N=436410876650822333378981911031009349404774841227176911281072781725696038253333546301841138934632022276505916465895842863455852195666038496850815473
  ( 147 digits)
SNFS difficulty: 154 digits.
Divisors found:

Sat Apr 12 10:45:05 2008  prp41 factor: 24146838789382262583920577322514279965903
Sat Apr 12 10:45:05 2008  prp50 factor: 28350609396736902451470157465466104446889245761819
Sat Apr 12 10:45:05 2008  prp57 factor: 637489278118176076476491206382010478850794755031832879789
Sat Apr 12 10:45:05 2008  elapsed time 00:27:23 (Msieve 1.34)

Version: GGNFS-0.77.1-20050930-k8
Total time: 16.36 hours.
Scaled time: 13.73 units (timescale=0.839).
Factorization parameters were as follows:
name: KA_1_6_152_3
n: 436410876650822333378981911031009349404774841227176911281072781725696038253333546301841138934632022276505916465895842863455852195666038496850815473
type: snfs
deg: 5
c5: 8
c0: -55
skew: 1.47
m: 5000000000000000000000000000000
rlim: 2400000
alim: 2400000
lbpr: 28
lbpa: 28
mbpr: 48
mbpa: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved  special-q in [100000, 1099990)
Primes: RFBsize:176302, AFBsize:176364, largePrimes:5290147 encountered
Relations: rels:5091653, finalFF:422983
Max relations in full relation-set: 28
Initial matrix: 352731 x 422983 with sparse part having weight 32754194.
Pruned matrix : 
Total sieving time: 16.23 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,154,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.5,2.5,100000
total time: 16.36 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656)
Total of 2 processors activated (11993.08 BogoMIPS).

5×10154-113

c94

name 名前Sinkiti Sibata
date 日付April 10, 2008 21:57:05 UTC 2008 年 4 月 11 日 (金) 6 時 57 分 5 秒 (日本時間)
composite number 合成数
1415423016074174819521263294353965449508917291651641663096371423565430400347476027033656365937<94>
prime factors 素因数
585300977028591004285181609982549579278364431<45>
2418282339557813003254540703695423879556104787327<49>
factorization results 素因数分解の結果
Thu Apr 10 21:13:18 2008  Msieve v. 1.33
Thu Apr 10 21:13:18 2008  random seeds: 5f0a8418 665aa333
Thu Apr 10 21:13:18 2008  factoring 1415423016074174819521263294353965449508917291651641663096371423565430400347476027033656365937 (94 digits)
Thu Apr 10 21:13:20 2008  searching for 15-digit factors
Thu Apr 10 21:13:21 2008  commencing quadratic sieve (94-digit input)
Thu Apr 10 21:13:22 2008  using multiplier of 1
Thu Apr 10 21:13:22 2008  using 64kb Pentium 4 sieve core
Thu Apr 10 21:13:22 2008  sieve interval: 18 blocks of size 65536
Thu Apr 10 21:13:22 2008  processing polynomials in batches of 6
Thu Apr 10 21:13:22 2008  using a sieve bound of 1983061 (74118 primes)
Thu Apr 10 21:13:22 2008  using large prime bound of 255814869 (27 bits)
Thu Apr 10 21:13:22 2008  using double large prime bound of 1362279921846333 (42-51 bits)
Thu Apr 10 21:13:22 2008  using trial factoring cutoff of 51 bits
Thu Apr 10 21:13:22 2008  polynomial 'A' values have 12 factors
Fri Apr 11 03:21:49 2008  74217 relations (17169 full + 57048 combined from 1052711 partial), need 74214
Fri Apr 11 03:21:52 2008  begin with 1069880 relations
Fri Apr 11 03:21:54 2008  reduce to 197432 relations in 11 passes
Fri Apr 11 03:21:54 2008  attempting to read 197432 relations
Fri Apr 11 03:22:00 2008  recovered 197432 relations
Fri Apr 11 03:22:00 2008  recovered 184174 polynomials
Fri Apr 11 03:22:00 2008  attempting to build 74217 cycles
Fri Apr 11 03:22:00 2008  found 74217 cycles in 5 passes
Fri Apr 11 03:22:00 2008  distribution of cycle lengths:
Fri Apr 11 03:22:00 2008     length 1 : 17169
Fri Apr 11 03:22:00 2008     length 2 : 12312
Fri Apr 11 03:22:00 2008     length 3 : 12345
Fri Apr 11 03:22:00 2008     length 4 : 10360
Fri Apr 11 03:22:00 2008     length 5 : 7835
Fri Apr 11 03:22:00 2008     length 6 : 5380
Fri Apr 11 03:22:00 2008     length 7 : 3675
Fri Apr 11 03:22:00 2008     length 9+: 5141
Fri Apr 11 03:22:00 2008  largest cycle: 19 relations
Fri Apr 11 03:22:01 2008  matrix is 74118 x 74217 (19.0 MB) with weight 4695268 (63.26/col)
Fri Apr 11 03:22:01 2008  sparse part has weight 4695268 (63.26/col)
Fri Apr 11 03:22:02 2008  filtering completed in 3 passes
Fri Apr 11 03:22:02 2008  matrix is 71310 x 71374 (18.4 MB) with weight 4545762 (63.69/col)
Fri Apr 11 03:22:02 2008  sparse part has weight 4545762 (63.69/col)
Fri Apr 11 03:22:03 2008  saving the first 48 matrix rows for later
Fri Apr 11 03:22:03 2008  matrix is 71262 x 71374 (10.9 MB) with weight 3510302 (49.18/col)
Fri Apr 11 03:22:03 2008  sparse part has weight 2421855 (33.93/col)
Fri Apr 11 03:22:03 2008  matrix includes 64 packed rows
Fri Apr 11 03:22:03 2008  using block size 21845 for processor cache size 512 kB
Fri Apr 11 03:22:04 2008  commencing Lanczos iteration
Fri Apr 11 03:22:04 2008  memory use: 11.1 MB
Fri Apr 11 03:22:53 2008  lanczos halted after 1128 iterations (dim = 71260)
Fri Apr 11 03:22:53 2008  recovered 15 nontrivial dependencies
Fri Apr 11 03:22:54 2008  prp45 factor: 585300977028591004285181609982549579278364431
Fri Apr 11 03:22:54 2008  prp49 factor: 2418282339557813003254540703695423879556104787327
Fri Apr 11 03:22:54 2008  elapsed time 06:09:36
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

5×10159-113

c130

name 名前Robert Backstrom
date 日付April 12, 2008 23:25:01 UTC 2008 年 4 月 13 日 (日) 8 時 25 分 1 秒 (日本時間)
composite number 合成数
1140078913403362475426734419368691054460014958124652265589751664211254989625522656680600371254324341321370031223969601514216564207<130>
prime factors 素因数
249338152176387828895115662897439191770188346492207387691<57>
4572420640210901723153537570503316526388708355459392492824185811297632077<73>
factorization results 素因数分解の結果
Number: n
N=1140078913403362475426734419368691054460014958124652265589751664211254989625522656680600371254324341321370031223969601514216564207
  ( 130 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=249338152176387828895115662897439191770188346492207387691 (pp57)
 r2=4572420640210901723153537570503316526388708355459392492824185811297632077 (pp73)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 22.36 hours.
Scaled time: 40.90 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_1_6_158_3
n: 1140078913403362475426734419368691054460014958124652265589751664211254989625522656680600371254324341321370031223969601514216564207
skew: 1.86
deg: 5
c5: 1
c0: -22
m: 100000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1500001)
Primes: RFBsize:216816, AFBsize:216967, largePrimes:7093950 encountered
Relations: rels:6596572, finalFF:526491
Max relations in full relation-set: 48
Initial matrix: 433847 x 526491 with sparse part having weight 41986594.
Pruned matrix : 359802 x 362035 with weight 24165523.
Total sieving time: 21.11 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.06 hours.
Total square root time: 0.05 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 22.36 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

5×10161-113

c116

name 名前Jo Yeong Uk
date 日付April 21, 2008 23:31:41 UTC 2008 年 4 月 22 日 (火) 8 時 31 分 41 秒 (日本時間)
composite number 合成数
19513957497471335445827696533813670496727362690069642235708411907732675763782069629125383015431683072942154136968943<116>
prime factors 素因数
121384631786385382186720547431793<33>
160761351830866943488566918884895797008739383646571499046004747235276493743031507551<84>
factorization results 素因数分解の結果
Number: 16663_161
N=19513957497471335445827696533813670496727362690069642235708411907732675763782069629125383015431683072942154136968943
  ( 116 digits)
Divisors found:
 r1=121384631786385382186720547431793 (pp33)
 r2=160761351830866943488566918884895797008739383646571499046004747235276493743031507551 (pp84)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 25.38 hours.
Scaled time: 54.26 units (timescale=2.138).
Factorization parameters were as follows:
name: 16663_161
n: 19513957497471335445827696533813670496727362690069642235708411907732675763782069629125383015431683072942154136968943
skew: 24827.25
# norm 1.19e+16
c5: 39600
c4: 13149981748
c3: -456242557359933
c2: -6241594165039819254
c1: 13965529947566801370158
c0: -32658529279555611788809464
# alpha -6.00
Y1: 4007171096653
Y0: -13756933333544773509065
# Murphy_E 4.99e-10
# M 9725444623948773597185089542966777252611422691702276753671161477699391779206570499114792041792732623559418709227838
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 70000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 3080001)
Primes: RFBsize:250150, AFBsize:251683, largePrimes:7620277 encountered
Relations: rels:7585076, finalFF:636556
Max relations in full relation-set: 28
Initial matrix: 501916 x 636556 with sparse part having weight 57705817.
Pruned matrix : 397719 x 400292 with weight 35269443.
Polynomial selection time: 1.51 hours.
Total sieving time: 22.62 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.96 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
gnfs,115,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.4,2.4,70000
total time: 25.38 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600

5×10162-113

c114

name 名前Jo Yeong Uk
date 日付April 15, 2008 13:01:31 UTC 2008 年 4 月 15 日 (火) 22 時 1 分 31 秒 (日本時間)
composite number 合成数
671725233773592668158357861381849172992458792903099915618738967360228871501589617429534879024002483836109936453513<114>
prime factors 素因数
1306190477930074137492388256168123171756279944035161<52>
514262846899694625766088991599592595724106922026482072425101233<63>
factorization results 素因数分解の結果
Number: 16663_162
N=671725233773592668158357861381849172992458792903099915618738967360228871501589617429534879024002483836109936453513
  ( 114 digits)
Divisors found:
 r1=1306190477930074137492388256168123171756279944035161 (pp52)
 r2=514262846899694625766088991599592595724106922026482072425101233 (pp63)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 20.21 hours.
Scaled time: 43.07 units (timescale=2.131).
Factorization parameters were as follows:
name: 16663_162
n: 671725233773592668158357861381849172992458792903099915618738967360228871501589617429534879024002483836109936453513
skew: 78136.67
# norm 7.46e+15
c5: 10200
c4: 383189044
c3: -309484053417710
c2: -2304352732987123077
c1: 541567228155987031479672
c0: 5146408181504792994975174915
# alpha -6.63
Y1: 790123132007
Y0: -9198521293021626091202
# Murphy_E 6.63e-10
# M 149167548420111073124963642693625400845864591092677417612563808371518751186252456902329787959070180331393959520234
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 70000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2800001)
Primes: RFBsize:250150, AFBsize:249746, largePrimes:7531910 encountered
Relations: rels:7489527, finalFF:657062
Max relations in full relation-set: 28
Initial matrix: 499975 x 657062 with sparse part having weight 55624613.
Pruned matrix : 371906 x 374469 with weight 31096495.
Polynomial selection time: 1.18 hours.
Total sieving time: 17.97 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.78 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
gnfs,113,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.4,2.4,70000
total time: 20.21 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167492k/8912896k available (2127k kernel code, 0k reserved, 1314k data, 212k init)
Calibrating delay using timer specific routine.. 4815.34 BogoMIPS (lpj=2407670)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405122)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405127)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

5×10165-113

c166

name 名前Robert Backstrom
date 日付April 14, 2008 02:51:44 UTC 2008 年 4 月 14 日 (月) 11 時 51 分 44 秒 (日本時間)
composite number 合成数
1666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663<166>
prime factors 素因数
2245517242112414977206809019850729467395498042626696714518847161837856305294667<79>
742219491977176312144123372249810594188783117241757062443391872162301374408886058723989<87>
factorization results 素因数分解の結果
Number: n
N=1666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663
  ( 166 digits)
SNFS difficulty: 165 digits.
Divisors found:

Mon Apr 14 12:44:39 2008  prp79 factor: 2245517242112414977206809019850729467395498042626696714518847161837856305294667
Mon Apr 14 12:44:39 2008  prp87 factor: 742219491977176312144123372249810594188783117241757062443391872162301374408886058723989
Mon Apr 14 12:44:39 2008  elapsed time 01:37:42 (Msieve 1.34)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 60.64 hours.
Scaled time: 79.13 units (timescale=1.305).
Factorization parameters were as follows:
name: KA_1_6_164_3
n: 1666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663
skew: 1.17
deg: 5
c5: 5
c0: -11
m: 1000000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2700199)
Primes: RFBsize:216816, AFBsize:217082, largePrimes:7364083 encountered
Relations: rels:6800164, finalFF:446721
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 60.37 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,165,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 60.64 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

5×10166-113

c149

name 名前Robert Backstrom
date 日付April 24, 2008 18:52:47 UTC 2008 年 4 月 25 日 (金) 3 時 52 分 47 秒 (日本時間)
composite number 合成数
89852069044858560668750522416608538221723838872348015749209852062494094029896856524204751899820732855080213308886948940351550969450891700210565072093<149>
prime factors 素因数
2332212323169386388539679035029940177328309787579459539882098944585367<70>
38526539008572372320474777732088353752020424841256198151210841483240600452254379<80>
factorization results 素因数分解の結果
Number: n
N=89852069044858560668750522416608538221723838872348015749209852062494094029896856524204751899820732855080213308886948940351550969450891700210565072093
  ( 149 digits)
SNFS difficulty: 166 digits.
Divisors found:

Fri Apr 25 04:39:41 2008  prp70 factor: 2332212323169386388539679035029940177328309787579459539882098944585367
Fri Apr 25 04:39:41 2008  prp80 factor: 38526539008572372320474777732088353752020424841256198151210841483240600452254379
Fri Apr 25 04:39:41 2008  elapsed time 01:01:06 (Msieve 1.34)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 49.93 hours.
Scaled time: 91.03 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_1_6_165_3
n: 89852069044858560668750522416608538221723838872348015749209852062494094029896856524204751899820732855080213308886948940351550969450891700210565072093
skew: 0.74
deg: 5
c5: 50
c0: -11
m: 1000000000000000000000000000000000
type: snfs
rlim: 3200000
alim: 3200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 3400247)
Primes: RFBsize:230209, AFBsize:229978, largePrimes:7618075 encountered
Relations: rels:7060809, finalFF:508891
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 49.69 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.5,2.5,100000
total time: 49.93 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

5×10168-113

c112

name 名前Jo Yeong Uk
date 日付April 14, 2008 22:48:42 UTC 2008 年 4 月 15 日 (火) 7 時 48 分 42 秒 (日本時間)
composite number 合成数
2481138462959330325490993384397680976466694579370363415914673815102702133510771942578531055673159342874803613351<112>
prime factors 素因数
717427856562862178965744919216242153<36>
3458380435415848667465634528539779826524512908443732339648083491542419594767<76>
factorization results 素因数分解の結果
Number: 16663_168
N=2481138462959330325490993384397680976466694579370363415914673815102702133510771942578531055673159342874803613351
  ( 112 digits)
Divisors found:
 r1=717427856562862178965744919216242153 (pp36)
 r2=3458380435415848667465634528539779826524512908443732339648083491542419594767 (pp76)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 17.75 hours.
Scaled time: 37.84 units (timescale=2.132).
Factorization parameters were as follows:
name: 16663_168
n: 2481138462959330325490993384397680976466694579370363415914673815102702133510771942578531055673159342874803613351
skew: 39431.34
# norm 3.83e+15
c5: 49140
c4: 25817859
c3: -129120732929669
c2: -13844558931293250
c1: -38168703002247717958437
c0: -14214612319618440379396535
# alpha -6.15
Y1: 948140859907
Y0: -2191003897547610215284
# Murphy_E 7.79e-10
# M 626313471121193201721002423945625760926830506962689097707011606329236140510462918777889081342378696446678369389
type: gnfs
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 70000
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1400000, 2310001)
Primes: RFBsize:203362, AFBsize:203549, largePrimes:7651451 encountered
Relations: rels:7592999, finalFF:593633
Max relations in full relation-set: 28
Initial matrix: 406998 x 593633 with sparse part having weight 57772171.
Pruned matrix : 279566 x 281664 with weight 33387440.
Polynomial selection time: 0.93 hours.
Total sieving time: 16.05 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.51 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
gnfs,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2800000,2800000,27,27,50,50,2.6,2.6,70000
total time: 17.75 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167492k/8912896k available (2127k kernel code, 0k reserved, 1314k data, 212k init)
Calibrating delay using timer specific routine.. 4815.34 BogoMIPS (lpj=2407670)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405122)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405127)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

5×10169-113

c121

name 名前Markus Tervooren
date 日付October 28, 2008 21:21:38 UTC 2008 年 10 月 29 日 (水) 6 時 21 分 38 秒 (日本時間)
composite number 合成数
7311718455847639845721422994958497742937731902430134270627579900735868508985975918296890634287583350087847104844156477211<121>
prime factors 素因数
342855645862195973177653413327612398418129301253722970119969<60>
21325938610287432927341056805305788973239926323324136910316219<62>
factorization results 素因数分解の結果
Number: 16663_169
N=7311718455847639845721422994958497742937731902430134270627579900735868508985975918296890634287583350087847104844156477211
  ( 121 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=342855645862195973177653413327612398418129301253722970119969 (pp60)
 r2=21325938610287432927341056805305788973239926323324136910316219 (pp62)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 93.56 hours.
Scaled time: 188.44 units (timescale=2.014).
Factorization parameters were as follows:
n: 7311718455847639845721422994958497742937731902430134270627579900735868508985975918296890634287583350087847104844156477211
m: 10000000000000000000000000000000000
c5: 1
c0: -22
skew: 1.86
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, 7000001)
Primes: RFBsize:412849, AFBsize:413702, largePrimes:6022667 encountered
Relations: rels:6293835, finalFF:938359
Max relations in full relation-set: 32
Initial matrix: 826615 x 938359 with sparse part having weight 53816742.
Pruned matrix : 732721 x 736918 with weight 39211480.
Total sieving time: 89.30 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 4.04 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,48,48,2.6,2.6,100000
total time: 93.56 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS
execution environment 実行環境
Q6700, Linux 2.6.22

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 10, 2008 09:00:00 UTC 2008 年 4 月 10 日 (木) 18 時 0 分 0 秒 (日本時間)
351e6904Serge BatalovAugust 6, 2008 03:20:16 UTC 2008 年 8 月 6 日 (水) 12 時 20 分 16 秒 (日本時間)

5×10170-113

c171

name 名前Jo Yeong Uk
date 日付April 13, 2008 23:18:24 UTC 2008 年 4 月 14 日 (月) 8 時 18 分 24 秒 (日本時間)
composite number 合成数
166666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663<171>
prime factors 素因数
2804670536816483766033030070325032866365359271873179603347962930801<67>
59424686243485168857371524605765216738985593764108704179128271614469158986252195899906766898342583066263<104>
factorization results 素因数分解の結果
Number: 16663_170
N=166666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663
  ( 171 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=2804670536816483766033030070325032866365359271873179603347962930801 (pp67)
 r2=59424686243485168857371524605765216738985593764108704179128271614469158986252195899906766898342583066263 (pp104)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 77.89 hours.
Scaled time: 167.32 units (timescale=2.148).
Factorization parameters were as follows:
n: 166666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663
m: 10000000000000000000000000000000000
c5: 5
c0: -11
skew: 1.17
type: snfs
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved algebraic special-q in [3500000, 7400001)
Primes: RFBsize:476648, AFBsize:476585, largePrimes:6660039 encountered
Relations: rels:7150884, finalFF:1119821
Max relations in full relation-set: 28
Initial matrix: 953298 x 1119821 with sparse part having weight 64956325.
Pruned matrix : 810449 x 815279 with weight 45109511.
Total sieving time: 73.83 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 3.86 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,7000000,7000000,27,27,49,49,2.6,2.6,100000
total time: 77.89 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167492k/8912896k available (2127k kernel code, 0k reserved, 1314k data, 212k init)
Calibrating delay using timer specific routine.. 4815.34 BogoMIPS (lpj=2407670)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405122)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405127)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

5×10171-113

c135

name 名前Sinkiti Sibata
date 日付April 16, 2010 22:20:27 UTC 2010 年 4 月 17 日 (土) 7 時 20 分 27 秒 (日本時間)
composite number 合成数
677247075156854435122729996358376493776949383546430838944165764161510314204110944813274477961745754539106521080671853529674687999723381<135>
prime factors 素因数
2071700606361267257546224185059605759699268968757141<52>
326903932487798262463696502868534088994652240696982818491674813343056243403816556641<84>
factorization results 素因数分解の結果
Number: 16663_171
N=677247075156854435122729996358376493776949383546430838944165764161510314204110944813274477961745754539106521080671853529674687999723381
  ( 135 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=2071700606361267257546224185059605759699268968757141 (pp52)
 r2=326903932487798262463696502868534088994652240696982818491674813343056243403816556641 (pp84)
Version: Msieve-1.40
Total time: 69.98 hours.
Scaled time: 161.94 units (timescale=2.314).
Factorization parameters were as follows:
name: 16663_171
n: 677247075156854435122729996358376493776949383546430838944165764161510314204110944813274477961745754539106521080671853529674687999723381
m: 10000000000000000000000000000000000
deg: 5
c5: 50
c0: -11
skew: 0.74
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2550000, 5550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 986645 x 986893
Total sieving time: 66.84 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 2.27 hours.
Time per square root: 0.75 hours.
Prototype def-par.txt line would be:
snfs,171.000,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 69.98 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 10, 2008 09:00:00 UTC 2008 年 4 月 10 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiAugust 6, 2009 03:34:56 UTC 2009 年 8 月 6 日 (木) 12 時 34 分 56 秒 (日本時間)

5×10172-113

c118

name 名前Jo Yeong Uk
date 日付April 16, 2008 23:35:26 UTC 2008 年 4 月 17 日 (木) 8 時 35 分 26 秒 (日本時間)
composite number 合成数
8235827018608900184232630962747782531914857076776112095668712602895011246947560520007279169172594208954918011259738097<118>
prime factors 素因数
320495677550936751308035792497362918849303147407<48>
25697154737133609560344670840251726771651958436082806086312019002604671<71>
factorization results 素因数分解の結果
Number: 16663_172
N=8235827018608900184232630962747782531914857076776112095668712602895011246947560520007279169172594208954918011259738097
  ( 118 digits)
Divisors found:
 r1=320495677550936751308035792497362918849303147407 (pp48)
 r2=25697154737133609560344670840251726771651958436082806086312019002604671 (pp71)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 36.65 hours.
Scaled time: 78.44 units (timescale=2.140).
Factorization parameters were as follows:
name: 16663_172
n: 8235827018608900184232630962747782531914857076776112095668712602895011246947560520007279169172594208954918011259738097
skew: 23994.76
# norm 3.56e+15
c5: 81780
c4: -8722177613
c3: -172048388133462
c2: 5431487071876079458
c1: 32188035299275822248228
c0: -42858347921993434993922144
# alpha -4.89
Y1: 2047839378167
Y0: -39866902854599812345335
# Murphy_E 3.69e-10
# M 4397100284139661905595764503103251667391894199048783655171359813332510445129267787214586724263171904117759984428094451
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, 4125001)
Primes: RFBsize:315948, AFBsize:315538, largePrimes:7637241 encountered
Relations: rels:7680602, finalFF:728503
Max relations in full relation-set: 28
Initial matrix: 631569 x 728503 with sparse part having weight 61666293.
Pruned matrix : 551228 x 554449 with weight 41570758.
Polynomial selection time: 1.98 hours.
Total sieving time: 32.52 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.82 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
gnfs,117,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.4,2.4,75000
total time: 36.65 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167492k/8912896k available (2127k kernel code, 0k reserved, 1314k data, 212k init)
Calibrating delay using timer specific routine.. 4815.34 BogoMIPS (lpj=2407670)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405122)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405127)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

5×10175-113

c163

name 名前Serge Batalov
date 日付October 19, 2008 04:34:13 UTC 2008 年 10 月 19 日 (日) 13 時 34 分 13 秒 (日本時間)
composite number 合成数
7765214836053830812275343365804816217160142233644828115751473920601722240369883569064895059784125043523570290124022191806025184608151076080284683874319931781581281<163>
prime factors 素因数
144047157479044276664515263647763869136494387420848021424177<60>
53907449282249810484152355599174717398503110311207169164812814056689715236474601082663524167528740888753<104>
factorization results 素因数分解の結果
SNFS difficulty: 175 digits.
Divisors found:
 r1=144047157479044276664515263647763869136494387420848021424177
 r2=53907449282249810484152355599174717398503110311207169164812814056689715236474601082663524167528740888753
Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.289).
Factorization parameters were as follows:
n: 7765214836053830812275343365804816217160142233644828115751473920601722240369883569064895059784125043523570290124022191806025184608151076080284683874319931781581281
m: 100000000000000000000000000000000000
c5: 5
c0: -11
skew: 1.17
type: snfs
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [5000000, 8100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1275006 x 1275254
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,10000000,10000000,27,27,54,54,2.6,2.6,100000
total time: 60.00 hours.
software ソフトウェア
Msieve-1.38
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 10, 2008 09:00:00 UTC 2008 年 4 月 10 日 (木) 18 時 0 分 0 秒 (日本時間)

5×10178-113

c137

name 名前Dmitry Domanov
date 日付May 10, 2013 08:14:39 UTC 2013 年 5 月 10 日 (金) 17 時 14 分 39 秒 (日本時間)
composite number 合成数
28188003410115004817492530566523198246395456768116234978929694499275103145873327959674688355158585876614857158963384632331157172287388543<137>
prime factors 素因数
234468045313659576921418664164291945812879411443548226329<57>
120221087578934303608200326161971525112719442085935931565432086757407963133140567<81>
factorization results 素因数分解の結果
N=28188003410115004817492530566523198246395456768116234978929694499275103145873327959674688355158585876614857158963384632331157172287388543
  ( 137 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=234468045313659576921418664164291945812879411443548226329 (pp57)
 r2=120221087578934303608200326161971525112719442085935931565432086757407963133140567 (pp81)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 83.65 hours.
Scaled time: 161.12 units (timescale=1.926).
Factorization parameters were as follows:
n: 28188003410115004817492530566523198246395456768116234978929694499275103145873327959674688355158585876614857158963384632331157172287388543
m: 500000000000000000000000000000000000
deg: 5
c5: 8
c0: -55
skew: 1.47
# Murphy_E = 1.232e-10
type: snfs
lss: 1
rlim: 6800000
alim: 6800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3400000, 7800001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1441604 x 1441833
Total sieving time: 81.39 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 2.00 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,179.000,5,0,0,0,0,0,0,0,0,6800000,6800000,28,28,53,53,2.5,2.5,100000
total time: 83.65 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 KamadaApril 10, 2008 09:00:00 UTC 2008 年 4 月 10 日 (木) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 9, 2010 08:39:59 UTC 2010 年 10 月 9 日 (土) 17 時 39 分 59 秒 (日本時間)
403e62144110Ignacio SantosOctober 9, 2010 08:39:59 UTC 2010 年 10 月 9 日 (土) 17 時 39 分 59 秒 (日本時間)
400Markus TervoorenJanuary 27, 2012 03:32:00 UTC 2012 年 1 月 27 日 (金) 12 時 32 分 0 秒 (日本時間)
1634Wataru SakaiMarch 21, 2012 12:40:29 UTC 2012 年 3 月 21 日 (水) 21 時 40 分 29 秒 (日本時間)
4511e632 / 3991Ignacio SantosOctober 9, 2010 08:39:59 UTC 2010 年 10 月 9 日 (土) 17 時 39 分 59 秒 (日本時間)

5×10179-113

c147

name 名前Wataru Sakai
date 日付March 23, 2012 00:53:41 UTC 2012 年 3 月 23 日 (金) 9 時 53 分 41 秒 (日本時間)
composite number 合成数
186784227941031964667234176101885394566199207008934731360433783865262434932239547371318196000671427800020755945280461823042186257571257525122298577<147>
prime factors 素因数
6706089717710019468270784276561728994963<40>
27852927086220764944724461361409222398141228381650132886183465604706007299028553914866357617945771403805579<107>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1064639798
Step 1 took 10098ms
Step 2 took 4741ms
********** Factor found in step 2: 6706089717710019468270784276561728994963
Found probable prime factor of 40 digits: 6706089717710019468270784276561728994963
Probable prime cofactor 27852927086220764944724461361409222398141228381650132886183465604706007299028553914866357617945771403805579 has 107 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
3025e4430Makoto KamadaApril 10, 2008 09:00:00 UTC 2008 年 4 月 10 日 (木) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 9, 2010 08:40:35 UTC 2010 年 10 月 9 日 (土) 17 時 40 分 35 秒 (日本時間)
403e6110 / 2144Ignacio SantosOctober 9, 2010 08:40:35 UTC 2010 年 10 月 9 日 (土) 17 時 40 分 35 秒 (日本時間)
4511e632 / 4441Ignacio SantosOctober 9, 2010 08:40:35 UTC 2010 年 10 月 9 日 (土) 17 時 40 分 35 秒 (日本時間)

5×10180-113

c145

name 名前Dmitry Domanov
date 日付June 3, 2013 05:35:51 UTC 2013 年 6 月 3 日 (月) 14 時 35 分 51 秒 (日本時間)
composite number 合成数
1156952490218701284845126130529316470801505420445019081780034828774151114922376077269644028870598528909424082006066530883519866032312755707267183<145>
prime factors 素因数
713950267132491518483384694292041501521902920268592225356117494251<66>
1620494512685712751705439934414075396214386678125853112982417467317848150881933<79>
factorization results 素因数分解の結果
N=1156952490218701284845126130529316470801505420445019081780034828774151114922376077269644028870598528909424082006066530883519866032312755707267183
  ( 145 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=713950267132491518483384694292041501521902920268592225356117494251 (pp66)
 r2=1620494512685712751705439934414075396214386678125853112982417467317848150881933 (pp79)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 85.84 hours.
Scaled time: 158.30 units (timescale=1.844).
Factorization parameters were as follows:
n: 1156952490218701284845126130529316470801505420445019081780034828774151114922376077269644028870598528909424082006066530883519866032312755707267183
m: 1000000000000000000000000000000000000
deg: 5
c5: 5
c0: -11
skew: 1.17
# Murphy_E = 1.203e-10
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
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, 8000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1406574 x 1406802
Total sieving time: 83.38 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 2.05 hours.
Time per square root: 0.22 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: 85.84 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 10, 2008 09:00:00 UTC 2008 年 4 月 10 日 (木) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 9, 2010 08:41:04 UTC 2010 年 10 月 9 日 (土) 17 時 41 分 4 秒 (日本時間)
403e62144110Ignacio SantosOctober 9, 2010 08:41:04 UTC 2010 年 10 月 9 日 (土) 17 時 41 分 4 秒 (日本時間)
2034Wataru SakaiJune 29, 2012 00:24:30 UTC 2012 年 6 月 29 日 (金) 9 時 24 分 30 秒 (日本時間)
4511e632 / 3991Ignacio SantosOctober 9, 2010 08:41:04 UTC 2010 年 10 月 9 日 (土) 17 時 41 分 4 秒 (日本時間)

5×10181-113

c175

name 名前Serge Batalov
date 日付November 9, 2008 15:55:07 UTC 2008 年 11 月 10 日 (月) 0 時 55 分 7 秒 (日本時間)
composite number 合成数
9425530860036333536359268058515957706511967313767062331601109271875855956021227049539270626030563980409222618031681471347988525735752226169006177681436285013726400591470912529<175>
prime factors 素因数
19735873762848979923788343262746910415597<41>
477583661777319114348974410080105808146987308682331423638268730772140428005311952962423539714530787220806113863148497059834874873525557<135>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2126843982
Step 1 took 25957ms
Step 2 took 15589ms
********** Factor found in step 2: 19735873762848979923788343262746910415597
Found probable prime factor of 41 digits: 19735873762848979923788343262746910415597
Probable prime cofactor 477583661777319114348974410080105808146987308682331423638268730772140428005311952962423539714530787220806113863148497059834874873525557 has 135 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 KamadaApril 10, 2008 09:00:00 UTC 2008 年 4 月 10 日 (木) 18 時 0 分 0 秒 (日本時間)

5×10182-113

c138

name 名前Youcef Lemsafer
date 日付November 3, 2012 05:20:02 UTC 2012 年 11 月 3 日 (土) 14 時 20 分 2 秒 (日本時間)
composite number 合成数
828895637536343473732632369414216234320066149184144926637552117419575870372798802265584617644700245975302458660955924905580667509644665141<138>
prime factors 素因数
21590324447754477378911424170207326239344046152494755950135885137<65>
38391995430274952071877919620329840098926379595619783926527296691213360293<74>
factorization results 素因数分解の結果
Thu Nov 01 20:08:31 2012 -> factmsieve.py (v0.76)
Thu Nov 01 20:08:31 2012 -> This is client 1 of 1
Thu Nov 01 20:08:31 2012 -> Running on 4 Cores with 2 hyper-threads per Core
Thu Nov 01 20:08:31 2012 -> Working with NAME = 16663_182
Thu Nov 01 20:08:31 2012 -> Selected lattice siever: gnfs-lasieve4I13e
Thu Nov 01 20:08:31 2012 -> Creating param file to detect parameter changes...
Thu Nov 01 20:08:31 2012 -> Running setup ...
Thu Nov 01 20:08:31 2012 -> Estimated minimum relations needed: 1.63789e+07
Thu Nov 01 20:08:31 2012 -> cleaning up before a restart
Thu Nov 01 20:08:31 2012 -> Running lattice siever ...
Thu Nov 01 20:08:31 2012 -> entering sieving loop
Thu Nov 01 20:51:34 2012 Found 381085 relations, 2.3% of the estimated minimum (16378937).
Thu Nov 01 21:34:50 2012 Found 767297 relations, 4.7% of the estimated minimum (16378937).
Thu Nov 01 22:18:29 2012 Found 1148522 relations, 7.0% of the estimated minimum (16378937).
Thu Nov 01 23:00:15 2012 Found 1527162 relations, 9.3% of the estimated minimum (16378937).
Thu Nov 01 23:33:05 2012 Found 1907799 relations, 11.6% of the estimated minimum (16378937).
Fri Nov 02 00:06:39 2012 Found 2293004 relations, 14.0% of the estimated minimum (16378937).
Fri Nov 02 00:42:11 2012 Found 2671501 relations, 16.3% of the estimated minimum (16378937).
Fri Nov 02 01:18:58 2012 Found 3051377 relations, 18.6% of the estimated minimum (16378937).
Fri Nov 02 01:55:25 2012 Found 3427521 relations, 20.9% of the estimated minimum (16378937).
Fri Nov 02 02:32:31 2012 Found 3808302 relations, 23.3% of the estimated minimum (16378937).
Fri Nov 02 03:12:45 2012 Found 4186029 relations, 25.6% of the estimated minimum (16378937).
Fri Nov 02 03:48:20 2012 Found 4560795 relations, 27.8% of the estimated minimum (16378937).
Fri Nov 02 04:24:58 2012 Found 4933264 relations, 30.1% of the estimated minimum (16378937).
Fri Nov 02 05:00:56 2012 Found 5309760 relations, 32.4% of the estimated minimum (16378937).
Fri Nov 02 05:37:01 2012 Found 5685125 relations, 34.7% of the estimated minimum (16378937).
Fri Nov 02 06:13:32 2012 Found 6056475 relations, 37.0% of the estimated minimum (16378937).
Fri Nov 02 06:49:23 2012 Found 6425757 relations, 39.2% of the estimated minimum (16378937).
Fri Nov 02 07:25:29 2012 Found 6795503 relations, 41.5% of the estimated minimum (16378937).
Fri Nov 02 08:01:53 2012 Found 7163237 relations, 43.7% of the estimated minimum (16378937).
Fri Nov 02 08:38:24 2012 Found 7533721 relations, 46.0% of the estimated minimum (16378937).
Fri Nov 02 09:14:42 2012 Found 7902782 relations, 48.2% of the estimated minimum (16378937).
Fri Nov 02 09:50:53 2012 Found 8270754 relations, 50.5% of the estimated minimum (16378937).
Fri Nov 02 10:27:00 2012 Found 8637664 relations, 52.7% of the estimated minimum (16378937).
Fri Nov 02 11:12:02 2012 Found 9006553 relations, 55.0% of the estimated minimum (16378937).
Fri Nov 02 11:53:41 2012 Found 9368698 relations, 57.2% of the estimated minimum (16378937).
Fri Nov 02 12:31:10 2012 Found 9733058 relations, 59.4% of the estimated minimum (16378937).
Fri Nov 02 13:07:50 2012 Found 10099539 relations, 61.7% of the estimated minimum (16378937).
Fri Nov 02 13:44:16 2012 Found 10461469 relations, 63.9% of the estimated minimum (16378937).
Fri Nov 02 14:20:50 2012 Found 10825534 relations, 66.1% of the estimated minimum (16378937).
Fri Nov 02 14:58:15 2012 Found 11191640 relations, 68.3% of the estimated minimum (16378937).
Fri Nov 02 15:35:10 2012 Found 11552935 relations, 70.5% of the estimated minimum (16378937).
Fri Nov 02 16:12:24 2012 Found 11914150 relations, 72.7% of the estimated minimum (16378937).
Fri Nov 02 16:50:26 2012 Found 12272814 relations, 74.9% of the estimated minimum (16378937).
Fri Nov 02 17:31:25 2012 Found 12631563 relations, 77.1% of the estimated minimum (16378937).
Fri Nov 02 18:07:59 2012 Found 12987313 relations, 79.3% of the estimated minimum (16378937).
Fri Nov 02 18:44:27 2012 Found 13343513 relations, 81.5% of the estimated minimum (16378937).
Fri Nov 02 19:21:46 2012 Found 13698520 relations, 83.6% of the estimated minimum (16378937).
Fri Nov 02 19:59:28 2012 Found 14055964 relations, 85.8% of the estimated minimum (16378937).
Fri Nov 02 20:36:15 2012 Found 14408196 relations, 88.0% of the estimated minimum (16378937).
Fri Nov 02 21:13:43 2012 Found 14763419 relations, 90.1% of the estimated minimum (16378937).
Fri Nov 02 21:50:42 2012 Found 15114745 relations, 92.3% of the estimated minimum (16378937).
Fri Nov 02 22:28:03 2012 Found 15464340 relations, 94.4% of the estimated minimum (16378937).
Fri Nov 02 23:05:23 2012 Found 15812569 relations, 96.5% of the estimated minimum (16378937).
Fri Nov 02 23:42:21 2012 Found 16160253 relations, 98.7% of the estimated minimum (16378937).
Sat Nov 03 00:19:42 2012 Found 16508933 relations, 100.8% of the estimated minimum (16378937).
Sat Nov 03 01:00:48 2012 Found 17540513 relations, 107.1% of the estimated minimum (16378937).
Sat Nov 03 01:42:16 2012 Found 17889141 relations, 109.2% of the estimated minimum (16378937).
Sat Nov 03 02:24:11 2012 Found 18233033 relations, 111.3% of the estimated minimum (16378937).
Sat Nov 03 03:05:58 2012 Found 18575760 relations, 113.4% of the estimated minimum (16378937).
Sat Nov 03 03:05:58 2012  
Sat Nov 03 03:05:58 2012  
Sat Nov 03 03:05:58 2012  Msieve v. 1.50 (SVN 708)
Sat Nov 03 03:05:58 2012  random seeds: 0a3ae170 d2b13479
Sat Nov 03 03:05:58 2012  factoring 828895637536343473732632369414216234320066149184144926637552117419575870372798802265584617644700245975302458660955924905580667509644665141 (138 digits)
Sat Nov 03 03:05:59 2012  searching for 15-digit factors
Sat Nov 03 03:06:00 2012  commencing number field sieve (138-digit input)
Sat Nov 03 03:06:00 2012  R0: -1000000000000000000000000000000000000
Sat Nov 03 03:06:00 2012  R1: 1
Sat Nov 03 03:06:00 2012  A0: -11
Sat Nov 03 03:06:00 2012  A1: 0
Sat Nov 03 03:06:00 2012  A2: 0
Sat Nov 03 03:06:00 2012  A3: 0
Sat Nov 03 03:06:00 2012  A4: 0
Sat Nov 03 03:06:00 2012  A5: 500
Sat Nov 03 03:06:00 2012  skew 0.47, size 1.378e-012, alpha -0.713, combined = 9.918e-011 rroots = 1
Sat Nov 03 03:06:00 2012  
Sat Nov 03 03:06:00 2012  commencing relation filtering
Sat Nov 03 03:06:00 2012  estimated available RAM is 4096.0 MB
Sat Nov 03 03:06:00 2012  commencing duplicate removal, pass 1
Sat Nov 03 03:07:40 2012  found 2477658 hash collisions in 18575759 relations
Sat Nov 03 03:08:11 2012  added 1544 free relations
Sat Nov 03 03:08:11 2012  commencing duplicate removal, pass 2
Sat Nov 03 03:08:21 2012  found 1743253 duplicates and 16834050 unique relations
Sat Nov 03 03:08:21 2012  memory use: 82.6 MB
Sat Nov 03 03:08:21 2012  reading ideals above 720000
Sat Nov 03 03:08:22 2012  commencing singleton removal, initial pass
Sat Nov 03 03:10:22 2012  memory use: 376.5 MB
Sat Nov 03 03:10:22 2012  reading all ideals from disk
Sat Nov 03 03:10:22 2012  memory use: 516.9 MB
Sat Nov 03 03:10:23 2012  commencing in-memory singleton removal
Sat Nov 03 03:10:25 2012  begin with 16834050 relations and 19186221 unique ideals
Sat Nov 03 03:10:36 2012  reduce to 6030279 relations and 5804401 ideals in 19 passes
Sat Nov 03 03:10:36 2012  max relations containing the same ideal: 93
Sat Nov 03 03:10:38 2012  removing 536403 relations and 490858 ideals in 45545 cliques
Sat Nov 03 03:10:38 2012  commencing in-memory singleton removal
Sat Nov 03 03:10:39 2012  begin with 5493876 relations and 5804401 unique ideals
Sat Nov 03 03:10:43 2012  reduce to 5455236 relations and 5274465 ideals in 10 passes
Sat Nov 03 03:10:43 2012  max relations containing the same ideal: 83
Sat Nov 03 03:10:45 2012  removing 390616 relations and 345071 ideals in 45545 cliques
Sat Nov 03 03:10:45 2012  commencing in-memory singleton removal
Sat Nov 03 03:10:46 2012  begin with 5064620 relations and 5274465 unique ideals
Sat Nov 03 03:10:49 2012  reduce to 5041547 relations and 4906124 ideals in 8 passes
Sat Nov 03 03:10:49 2012  max relations containing the same ideal: 78
Sat Nov 03 03:10:52 2012  relations with 0 large ideals: 2919
Sat Nov 03 03:10:52 2012  relations with 1 large ideals: 1452
Sat Nov 03 03:10:52 2012  relations with 2 large ideals: 22922
Sat Nov 03 03:10:52 2012  relations with 3 large ideals: 157530
Sat Nov 03 03:10:52 2012  relations with 4 large ideals: 572104
Sat Nov 03 03:10:52 2012  relations with 5 large ideals: 1192075
Sat Nov 03 03:10:52 2012  relations with 6 large ideals: 1512825
Sat Nov 03 03:10:52 2012  relations with 7+ large ideals: 1579720
Sat Nov 03 03:10:52 2012  commencing 2-way merge
Sat Nov 03 03:10:55 2012  reduce to 2913518 relation sets and 2778096 unique ideals
Sat Nov 03 03:10:55 2012  ignored 1 oversize relation sets
Sat Nov 03 03:10:55 2012  commencing full merge
Sat Nov 03 03:11:38 2012  memory use: 285.8 MB
Sat Nov 03 03:11:39 2012  found 1461642 cycles, need 1446296
Sat Nov 03 03:11:39 2012  weight of 1446296 cycles is about 101287678 (70.03/cycle)
Sat Nov 03 03:11:39 2012  distribution of cycle lengths:
Sat Nov 03 03:11:39 2012  1 relations: 199487
Sat Nov 03 03:11:39 2012  2 relations: 175993
Sat Nov 03 03:11:39 2012  3 relations: 165123
Sat Nov 03 03:11:39 2012  4 relations: 145104
Sat Nov 03 03:11:39 2012  5 relations: 129446
Sat Nov 03 03:11:39 2012  6 relations: 107623
Sat Nov 03 03:11:39 2012  7 relations: 93794
Sat Nov 03 03:11:39 2012  8 relations: 79389
Sat Nov 03 03:11:39 2012  9 relations: 66205
Sat Nov 03 03:11:39 2012  10+ relations: 284132
Sat Nov 03 03:11:39 2012  heaviest cycle: 26 relations
Sat Nov 03 03:11:39 2012  commencing cycle optimization
Sat Nov 03 03:11:41 2012  start with 8596667 relations
Sat Nov 03 03:11:56 2012  pruned 176484 relations
Sat Nov 03 03:11:56 2012  memory use: 229.8 MB
Sat Nov 03 03:11:56 2012  distribution of cycle lengths:
Sat Nov 03 03:11:56 2012  1 relations: 199487
Sat Nov 03 03:11:56 2012  2 relations: 179468
Sat Nov 03 03:11:56 2012  3 relations: 170036
Sat Nov 03 03:11:56 2012  4 relations: 147732
Sat Nov 03 03:11:56 2012  5 relations: 131642
Sat Nov 03 03:11:56 2012  6 relations: 108755
Sat Nov 03 03:11:56 2012  7 relations: 94238
Sat Nov 03 03:11:56 2012  8 relations: 79076
Sat Nov 03 03:11:56 2012  9 relations: 65620
Sat Nov 03 03:11:56 2012  10+ relations: 270242
Sat Nov 03 03:11:56 2012  heaviest cycle: 26 relations
Sat Nov 03 03:11:57 2012  RelProcTime: 357
Sat Nov 03 03:11:57 2012  elapsed time 00:05:59
Sat Nov 03 03:11:57 2012 LatSieveTime: 2594.1
Sat Nov 03 03:11:57 2012 -> Running matrix solving step ...
Sat Nov 03 03:11:57 2012  
Sat Nov 03 03:11:59 2012  
Sat Nov 03 03:11:59 2012  commencing linear algebra
Sat Nov 03 03:11:59 2012  read 1446296 cycles
Sat Nov 03 03:12:02 2012  cycles contain 4892177 unique relations
Sat Nov 03 03:12:40 2012  read 4892177 relations
Sat Nov 03 03:12:47 2012  using 20 quadratic characters above 268434822
Sat Nov 03 03:13:08 2012  building initial matrix
Sat Nov 03 03:14:02 2012  memory use: 550.0 MB
Sat Nov 03 03:14:05 2012  read 1446296 cycles
Sat Nov 03 03:14:06 2012  matrix is 1446114 x 1446296 (412.2 MB) with weight 131480172 (90.91/col)
Sat Nov 03 03:14:06 2012  sparse part has weight 97920273 (67.70/col)
Sat Nov 03 03:14:20 2012  filtering completed in 2 passes
Sat Nov 03 03:14:20 2012  matrix is 1443199 x 1443380 (411.9 MB) with weight 131370565 (91.02/col)
Sat Nov 03 03:14:20 2012  sparse part has weight 97882171 (67.81/col)
Sat Nov 03 03:14:23 2012  matrix starts at (0, 0)
Sat Nov 03 03:14:24 2012  matrix is 1443199 x 1443380 (411.9 MB) with weight 131370565 (91.02/col)
Sat Nov 03 03:14:24 2012  sparse part has weight 97882171 (67.81/col)
Sat Nov 03 03:14:24 2012  saving the first 48 matrix rows for later
Sat Nov 03 03:14:24 2012  matrix includes 64 packed rows
Sat Nov 03 03:14:25 2012  matrix is 1443151 x 1443380 (393.7 MB) with weight 104910714 (72.68/col)
Sat Nov 03 03:14:25 2012  sparse part has weight 94537488 (65.50/col)
Sat Nov 03 03:14:25 2012  using block size 65536 for processor cache size 8192 kB
Sat Nov 03 03:14:33 2012  commencing Lanczos iteration (8 threads)
Sat Nov 03 03:14:33 2012  memory use: 406.7 MB
Sat Nov 03 03:14:41 2012  linear algebra at 0.1%, ETA 2h 6m
Sat Nov 03 03:14:44 2012  checkpointing every 670000 dimensions
Sat Nov 03 05:26:41 2012  lanczos halted after 22821 iterations (dim = 1443150)
Sat Nov 03 05:26:45 2012  recovered 39 nontrivial dependencies
Sat Nov 03 05:26:45 2012  BLanczosTime: 8086
Sat Nov 03 05:26:45 2012  elapsed time 02:14:48
Sat Nov 03 05:26:45 2012 -> Running square root step ...
Sat Nov 03 05:26:45 2012  
Sat Nov 03 05:26:45 2012  
Sat Nov 03 05:26:46 2012  
Sat Nov 03 05:26:46 2012  commencing square root phase
Sat Nov 03 05:26:46 2012  reading relations for dependency 1
Sat Nov 03 05:26:47 2012  read 721641 cycles
Sat Nov 03 05:26:48 2012  cycles contain 2446436 unique relations
Sat Nov 03 05:27:22 2012  read 2446436 relations
Sat Nov 03 05:27:34 2012  multiplying 2446436 relations
Sat Nov 03 05:31:02 2012  multiply complete, coefficients have about 74.97 million bits
Sat Nov 03 05:31:02 2012  initial square root is modulo 240491
Sat Nov 03 05:35:29 2012  GCD is N, no factor found
Sat Nov 03 05:35:29 2012  reading relations for dependency 2
Sat Nov 03 05:35:29 2012  read 721154 cycles
Sat Nov 03 05:35:31 2012  cycles contain 2443138 unique relations
Sat Nov 03 05:35:45 2012  read 2443138 relations
Sat Nov 03 05:35:57 2012  multiplying 2443138 relations
Sat Nov 03 05:39:25 2012  multiply complete, coefficients have about 74.87 million bits
Sat Nov 03 05:39:25 2012  initial square root is modulo 236681
Sat Nov 03 05:43:48 2012  GCD is 1, no factor found
Sat Nov 03 05:43:48 2012  reading relations for dependency 3
Sat Nov 03 05:43:48 2012  read 722646 cycles
Sat Nov 03 05:43:49 2012  cycles contain 2447012 unique relations
Sat Nov 03 05:44:04 2012  read 2447012 relations
Sat Nov 03 05:44:16 2012  multiplying 2447012 relations
Sat Nov 03 05:47:46 2012  multiply complete, coefficients have about 74.99 million bits
Sat Nov 03 05:47:46 2012  initial square root is modulo 241291
Sat Nov 03 05:52:11 2012  sqrtTime: 1525
Sat Nov 03 05:52:11 2012  prp65 factor: 21590324447754477378911424170207326239344046152494755950135885137
Sat Nov 03 05:52:11 2012  prp74 factor: 38391995430274952071877919620329840098926379595619783926527296691213360293
Sat Nov 03 05:52:11 2012  elapsed time 00:25:26
Sat Nov 03 05:52:11 2012 -> Computing 1.35192e+09 scale for this machine...
Sat Nov 03 05:52:11 2012 -> procrels -speedtest> PIPE
Sat Nov 03 05:52:16 2012 -> Factorization summary written to s183-16663_182.txt



Number: 16663_182
N = 828895637536343473732632369414216234320066149184144926637552117419575870372798802265584617644700245975302458660955924905580667509644665141 (138 digits)
SNFS difficulty: 183 digits.
Divisors found:
r1=21590324447754477378911424170207326239344046152494755950135885137 (pp65)
r2=38391995430274952071877919620329840098926379595619783926527296691213360293 (pp74)
Version: Msieve v. 1.50 (SVN 708)
Total time: 33.82 hours.
Factorization parameters were as follows:
n: 828895637536343473732632369414216234320066149184144926637552117419575870372798802265584617644700245975302458660955924905580667509644665141
m: 1000000000000000000000000000000000000
deg: 5
c5: 500
c0: -11
skew: 0.47
# Murphy_E = 9.918e-11
type: snfs
lss: 1
rlim: 7800000
alim: 7800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7800000/7800000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 18575760
Relations: 2447012 relations
Pruned matrix : 1443151 x 1443380
Polynomial selection time: 0.00 hours.
Total sieving time: 31.05 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 2.25 hours.
time per square root: 0.42 hours.
Prototype def-par.txt line would be: snfs,183,5,0,0,0,0,0,0,0,0,7800000,7800000,28,28,53,53,2.5,2.5,100000
total time: 33.82 hours.
Intel64 Family 6 Model 26 Stepping 5, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.80GHz
software ソフトウェア
GGNFS-SVN430, msieve 1.50 (SVN408)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 10, 2008 09:00:00 UTC 2008 年 4 月 10 日 (木) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 9, 2010 08:42:04 UTC 2010 年 10 月 9 日 (土) 17 時 42 分 4 秒 (日本時間)
403e62144110Ignacio SantosOctober 9, 2010 08:42:04 UTC 2010 年 10 月 9 日 (土) 17 時 42 分 4 秒 (日本時間)
2034Youcef LemsaferNovember 1, 2012 05:23:40 UTC 2012 年 11 月 1 日 (木) 14 時 23 分 40 秒 (日本時間)
4511e61432 / 314632Ignacio SantosOctober 9, 2010 08:42:04 UTC 2010 年 10 月 9 日 (土) 17 時 42 分 4 秒 (日本時間)
1400Youcef LemsaferNovember 2, 2012 14:50:55 UTC 2012 年 11 月 2 日 (金) 23 時 50 分 55 秒 (日本時間)
5043e6241 / 7149Youcef LemsaferNovember 2, 2012 14:50:55 UTC 2012 年 11 月 2 日 (金) 23 時 50 分 55 秒 (日本時間)

5×10183-113

c155

name 名前Jo Yeong Uk
date 日付June 2, 2014 11:51:57 UTC 2014 年 6 月 2 日 (月) 20 時 51 分 57 秒 (日本時間)
composite number 合成数
45677027801344089591606477427069044112287055553833560497261303386471085777978852461470473733990980859787693742535448160399581672227781138584864826362584771<155>
prime factors 素因数
2610221229204406744322467313528212665925409444478028643458973219138069<70>
17499293657674529604823172635526801453797757928020942130498507699529794026547980522359<86>
factorization results 素因数分解の結果
Number: 16663_183
N=45677027801344089591606477427069044112287055553833560497261303386471085777978852461470473733990980859787693742535448160399581672227781138584864826362584771
  ( 155 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=2610221229204406744322467313528212665925409444478028643458973219138069
 r2=17499293657674529604823172635526801453797757928020942130498507699529794026547980522359
Version: 
Total time: 62.01 hours.
Scaled time: 321.77 units (timescale=5.189).
Factorization parameters were as follows:
n: 45677027801344089591606477427069044112287055553833560497261303386471085777978852461470473733990980859787693742535448160399581672227781138584864826362584771
m: 5000000000000000000000000000000000000
deg: 5
c5: 8
c0: -55
skew: 1.47
# Murphy_E = 7.734e-11
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [3700000, 6500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20292852
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1466539 x 1466787
Total sieving time: 57.63 hours.
Total relation processing time: 1.51 hours.
Matrix solve time: 2.53 hours.
Time per square root: 0.34 hours.
Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,54,54,2.5,2.5,100000
total time: 62.01 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49374164k/51380224k available (5220k kernel code, 1085960k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.64 BogoMIPS (lpj=3399821)
Total of 12 processors activated (81595.70 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 10, 2008 09:00:00 UTC 2008 年 4 月 10 日 (木) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 9, 2010 08:43:49 UTC 2010 年 10 月 9 日 (土) 17 時 43 分 49 秒 (日本時間)
403e62610110Ignacio SantosOctober 9, 2010 08:43:49 UTC 2010 年 10 月 9 日 (土) 17 時 43 分 49 秒 (日本時間)
1000Dmitry DomanovMarch 6, 2013 15:36:31 UTC 2013 年 3 月 7 日 (木) 0 時 36 分 31 秒 (日本時間)
1500Warut RoonguthaiMarch 13, 2013 02:47:36 UTC 2013 年 3 月 13 日 (水) 11 時 47 分 36 秒 (日本時間)
4511e632 / 3888Ignacio SantosOctober 9, 2010 08:43:49 UTC 2010 年 10 月 9 日 (土) 17 時 43 分 49 秒 (日本時間)

5×10184-113

c176

name 名前Ignacio Santos
date 日付June 19, 2010 16:10:22 UTC 2010 年 6 月 20 日 (日) 1 時 10 分 22 秒 (日本時間)
composite number 合成数
65389322092929790141772145495546889735381562825958005651256468444154809853023649137721014126815075658342408488483983733652844393204151051745592866602478154084651439191058024851<176>
prime factors 素因数
4001466191766992074766500491123601<34>
16341340638456018228298616728671925620469835728409963566576544979942467455965331383700986752612587481562022381729382935188316636997108022401251<143>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3338928904
Step 1 took 6879ms
Step 2 took 5616ms
********** Factor found in step 2: 4001466191766992074766500491123601
Found probable prime factor of 34 digits: 4001466191766992074766500491123601
Probable prime cofactor 16341340638456018228298616728671925620469835728409963566576544979942467455965331383700986752612587481562022381729382935188316636997108022401251 has 143 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 KamadaApril 10, 2008 09:00:00 UTC 2008 年 4 月 10 日 (木) 18 時 0 分 0 秒 (日本時間)

5×10185-113

c128

name 名前Sinkiti Sibata
date 日付April 22, 2010 01:20:18 UTC 2010 年 4 月 22 日 (木) 10 時 20 分 18 秒 (日本時間)
composite number 合成数
19692791211172800770661361543715530698386254859842480921441843066219836880760087738951228836681805302494516289712201674684984637<128>
prime factors 素因数
1167193426346130116910462874611488112859402195005424639231<58>
16871917513124274561618350263120557737897772908255506558520238134143427<71>
factorization results 素因数分解の結果
Number: 16663_185
N=19692791211172800770661361543715530698386254859842480921441843066219836880760087738951228836681805302494516289712201674684984637
  ( 128 digits)
Divisors found:
 r1=1167193426346130116910462874611488112859402195005424639231 (pp58)
 r2=16871917513124274561618350263120557737897772908255506558520238134143427 (pp71)
Version: Msieve-1.40
Total time: 109.23 hours.
Scaled time: 316.88 units (timescale=2.901).
Factorization parameters were as follows:
name: 16663_185
# Murphy_E = 1.027464e-10, selected by Jeff Gilchrist
n: 19692791211172800770661361543715530698386254859842480921441843066219836880760087738951228836681805302494516289712201674684984637
Y0: -3912516862124374238665335
Y1: 100050211141963
c0: -6205241930850353191497698806336
c1: 596383772445320160036275336
c2: 2714425793852706710744
c3: -8009974377609284
c4: -15689406301
c5: 21480
skew: 385821.23
type: gnfs
# selected mechanically
rlim: 8300000
alim: 8300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8300000/8300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved algebraic special-q in [4150000, 8350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1239654 x 1239902
Total sieving time: 105.49 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 3.16 hours.
Time per square root: 0.40 hours.
Prototype def-par.txt line would be:
gnfs,127,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,8300000,8300000,28,28,53,53,2.5,2.5,100000
total time: 109.23 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 10, 2008 09:00:00 UTC 2008 年 4 月 10 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336500Erik BrangerMarch 16, 2009 19:55:15 UTC 2009 年 3 月 17 日 (火) 4 時 55 分 15 秒 (日本時間)
1836Wataru SakaiDecember 2, 2009 06:37:37 UTC 2009 年 12 月 2 日 (水) 15 時 37 分 37 秒 (日本時間)

5×10186-113

c151

name 名前Dmitry Domanov
date 日付March 6, 2013 11:46:24 UTC 2013 年 3 月 6 日 (水) 20 時 46 分 24 秒 (日本時間)
composite number 合成数
1079305183095531763667551038580580445407794233132672231364296969813329574744119882928912749489651631825236317579632210977591426429722018929263171372861<151>
prime factors 素因数
1888387970146716368939705238295749255371<40>
1897422716137292322706940328212933898773<40>
301223563419448405591269927311780029583056344076398799140539347379327867<72>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=550936199
Step 1 took 16497ms
Step 2 took 7240ms
********** Factor found in step 2: 1888387970146716368939705238295749255371
Found probable prime factor of 40 digits: 1888387970146716368939705238295749255371
Composite cofactor 571548431867883723634774387721077838964417183059151268591481562694899704080437674067555521512013658864556007191 has 111 digits

Wed Mar  6 14:35:17 2013  commencing relation filtering
Wed Mar  6 14:35:17 2013  estimated available RAM is 48289.8 MB
Wed Mar  6 14:35:17 2013  commencing duplicate removal, pass 1
Wed Mar  6 14:36:22 2013  found 338845 hash collisions in 5006165 relations
Wed Mar  6 14:36:32 2013  added 32716 free relations
Wed Mar  6 14:36:32 2013  commencing duplicate removal, pass 2
Wed Mar  6 14:36:33 2013  found 188625 duplicates and 4850256 unique relations
Wed Mar  6 14:36:33 2013  memory use: 16.3 MB
Wed Mar  6 14:36:33 2013  reading ideals above 100000
Wed Mar  6 14:36:33 2013  commencing singleton removal, initial pass
Wed Mar  6 14:37:43 2013  memory use: 172.2 MB
Wed Mar  6 14:37:43 2013  reading all ideals from disk
Wed Mar  6 14:37:43 2013  memory use: 162.9 MB
Wed Mar  6 14:37:44 2013  keeping 5593828 ideals with weight <= 200, target excess is 25746
Wed Mar  6 14:37:44 2013  commencing in-memory singleton removal
Wed Mar  6 14:37:44 2013  begin with 4850256 relations and 5593828 unique ideals
Wed Mar  6 14:37:49 2013  reduce to 1389715 relations and 1459104 ideals in 24 passes
Wed Mar  6 14:37:49 2013  max relations containing the same ideal: 85
Wed Mar  6 14:47:54 2013  
Wed Mar  6 14:47:54 2013  commencing relation filtering
Wed Mar  6 14:47:54 2013  estimated available RAM is 48289.8 MB
Wed Mar  6 14:47:54 2013  commencing duplicate removal, pass 1
Wed Mar  6 14:49:07 2013  found 448777 hash collisions in 5853631 relations
Wed Mar  6 14:49:17 2013  added 135 free relations
Wed Mar  6 14:49:17 2013  commencing duplicate removal, pass 2
Wed Mar  6 14:49:19 2013  found 249822 duplicates and 5603944 unique relations
Wed Mar  6 14:49:19 2013  memory use: 24.6 MB
Wed Mar  6 14:49:19 2013  reading ideals above 100000
Wed Mar  6 14:49:19 2013  commencing singleton removal, initial pass
Wed Mar  6 14:50:40 2013  memory use: 172.2 MB
Wed Mar  6 14:50:40 2013  reading all ideals from disk
Wed Mar  6 14:50:40 2013  memory use: 188.4 MB
Wed Mar  6 14:50:40 2013  keeping 5906988 ideals with weight <= 200, target excess is 29314
Wed Mar  6 14:50:41 2013  commencing in-memory singleton removal
Wed Mar  6 14:50:41 2013  begin with 5603944 relations and 5906988 unique ideals
Wed Mar  6 14:50:46 2013  reduce to 2450310 relations and 2245098 ideals in 17 passes
Wed Mar  6 14:50:46 2013  max relations containing the same ideal: 117
Wed Mar  6 14:50:48 2013  removing 549694 relations and 464090 ideals in 85604 cliques
Wed Mar  6 14:50:48 2013  commencing in-memory singleton removal
Wed Mar  6 14:50:48 2013  begin with 1900616 relations and 2245098 unique ideals
Wed Mar  6 14:50:49 2013  reduce to 1816966 relations and 1693707 ideals in 9 passes
Wed Mar  6 14:50:49 2013  max relations containing the same ideal: 94
Wed Mar  6 14:50:50 2013  removing 410526 relations and 324922 ideals in 85604 cliques
Wed Mar  6 14:50:50 2013  commencing in-memory singleton removal
Wed Mar  6 14:50:50 2013  begin with 1406440 relations and 1693707 unique ideals
Wed Mar  6 14:50:51 2013  reduce to 1336270 relations and 1295379 ideals in 11 passes
Wed Mar  6 14:50:51 2013  max relations containing the same ideal: 76
Wed Mar  6 14:50:52 2013  relations with 0 large ideals: 102
Wed Mar  6 14:50:52 2013  relations with 1 large ideals: 217
Wed Mar  6 14:50:52 2013  relations with 2 large ideals: 3356
Wed Mar  6 14:50:52 2013  relations with 3 large ideals: 26895
Wed Mar  6 14:50:52 2013  relations with 4 large ideals: 114049
Wed Mar  6 14:50:52 2013  relations with 5 large ideals: 278225
Wed Mar  6 14:50:52 2013  relations with 6 large ideals: 393608
Wed Mar  6 14:50:52 2013  relations with 7+ large ideals: 519818
Wed Mar  6 14:50:52 2013  commencing 2-way merge
Wed Mar  6 14:50:52 2013  reduce to 797173 relation sets and 756282 unique ideals
Wed Mar  6 14:50:52 2013  commencing full merge
Wed Mar  6 14:51:05 2013  memory use: 85.7 MB
Wed Mar  6 14:51:05 2013  found 384380 cycles, need 374482
Wed Mar  6 14:51:05 2013  weight of 374482 cycles is about 26424368 (70.56/cycle)
Wed Mar  6 14:51:05 2013  distribution of cycle lengths:
Wed Mar  6 14:51:05 2013  1 relations: 39911
Wed Mar  6 14:51:05 2013  2 relations: 39993
Wed Mar  6 14:51:05 2013  3 relations: 40868
Wed Mar  6 14:51:05 2013  4 relations: 38614
Wed Mar  6 14:51:05 2013  5 relations: 35263
Wed Mar  6 14:51:05 2013  6 relations: 31551
Wed Mar  6 14:51:05 2013  7 relations: 27328
Wed Mar  6 14:51:05 2013  8 relations: 24033
Wed Mar  6 14:51:05 2013  9 relations: 20202
Wed Mar  6 14:51:05 2013  10+ relations: 76719
Wed Mar  6 14:51:05 2013  heaviest cycle: 21 relations
Wed Mar  6 14:51:05 2013  commencing cycle optimization
Wed Mar  6 14:51:06 2013  start with 2303436 relations
Wed Mar  6 14:51:09 2013  pruned 54405 relations
Wed Mar  6 14:51:09 2013  memory use: 75.8 MB
Wed Mar  6 14:51:09 2013  distribution of cycle lengths:
Wed Mar  6 14:51:09 2013  1 relations: 39911
Wed Mar  6 14:51:09 2013  2 relations: 40903
Wed Mar  6 14:51:09 2013  3 relations: 42223
Wed Mar  6 14:51:09 2013  4 relations: 39534
Wed Mar  6 14:51:09 2013  5 relations: 35980
Wed Mar  6 14:51:09 2013  6 relations: 32095
Wed Mar  6 14:51:09 2013  7 relations: 27676
Wed Mar  6 14:51:09 2013  8 relations: 24298
Wed Mar  6 14:51:09 2013  9 relations: 20067
Wed Mar  6 14:51:09 2013  10+ relations: 71795
Wed Mar  6 14:51:09 2013  heaviest cycle: 20 relations
Wed Mar  6 14:51:10 2013  RelProcTime: 196
Wed Mar  6 14:51:10 2013  
Wed Mar  6 14:51:10 2013  commencing linear algebra
Wed Mar  6 14:51:10 2013  read 374482 cycles
Wed Mar  6 14:51:10 2013  cycles contain 1259652 unique relations
Wed Mar  6 14:51:26 2013  read 1259652 relations
Wed Mar  6 14:51:28 2013  using 20 quadratic characters above 67108494
Wed Mar  6 14:51:34 2013  building initial matrix
Wed Mar  6 14:51:48 2013  memory use: 162.5 MB
Wed Mar  6 14:51:49 2013  read 374482 cycles
Wed Mar  6 14:51:49 2013  matrix is 374294 x 374482 (113.8 MB) with weight 36220356 (96.72/col)
Wed Mar  6 14:51:49 2013  sparse part has weight 25348991 (67.69/col)
Wed Mar  6 14:51:52 2013  filtering completed in 2 passes
Wed Mar  6 14:51:52 2013  matrix is 373206 x 373394 (113.7 MB) with weight 36161995 (96.85/col)
Wed Mar  6 14:51:52 2013  sparse part has weight 25324834 (67.82/col)
Wed Mar  6 14:51:53 2013  matrix starts at (0, 0)
Wed Mar  6 14:51:53 2013  matrix is 373206 x 373394 (113.7 MB) with weight 36161995 (96.85/col)
Wed Mar  6 14:51:53 2013  sparse part has weight 25324834 (67.82/col)
Wed Mar  6 14:51:53 2013  saving the first 48 matrix rows for later
Wed Mar  6 14:51:53 2013  matrix includes 64 packed rows
Wed Mar  6 14:51:53 2013  matrix is 373158 x 373394 (108.9 MB) with weight 28718601 (76.91/col)
Wed Mar  6 14:51:53 2013  sparse part has weight 24805204 (66.43/col)
Wed Mar  6 14:51:53 2013  using block size 149263 for processor cache size 12288 kB
Wed Mar  6 14:51:54 2013  commencing Lanczos iteration (16 threads)
Wed Mar  6 14:51:54 2013  memory use: 155.6 MB
Wed Mar  6 14:52:09 2013  linear algebra at 3.3%, ETA 0h 7m
Wed Mar  6 14:58:55 2013  lanczos halted after 5903 iterations (dim = 373158)
Wed Mar  6 14:58:55 2013  recovered 33 nontrivial dependencies
Wed Mar  6 14:58:55 2013  BLanczosTime: 465
Wed Mar  6 14:58:55 2013  
Wed Mar  6 14:58:55 2013  commencing square root phase
Wed Mar  6 14:58:55 2013  reading relations for dependency 1
Wed Mar  6 14:58:55 2013  read 186054 cycles
Wed Mar  6 14:58:55 2013  cycles contain 628492 unique relations
Wed Mar  6 14:59:04 2013  read 628492 relations
Wed Mar  6 14:59:06 2013  multiplying 628492 relations
Wed Mar  6 14:59:43 2013  multiply complete, coefficients have about 27.78 million bits
Wed Mar  6 14:59:44 2013  initial square root is modulo 95270753
Wed Mar  6 15:00:34 2013  sqrtTime: 99

prp40 = 1897422716137292322706940328212933898773
prp72 = 301223563419448405591269927311780029583056344076398799140539347379327867
NFS elapsed time = 5713.6451 seconds.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 10, 2008 09:00:00 UTC 2008 年 4 月 10 日 (木) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 9, 2010 10:55:16 UTC 2010 年 10 月 9 日 (土) 19 時 55 分 16 秒 (日本時間)
403e6110 / 2144Ignacio SantosOctober 9, 2010 10:55:16 UTC 2010 年 10 月 9 日 (土) 19 時 55 分 16 秒 (日本時間)
4511e632 / 4441Ignacio SantosOctober 9, 2010 10:55:16 UTC 2010 年 10 月 9 日 (土) 19 時 55 分 16 秒 (日本時間)

5×10191-113

c159

composite cofactor 合成数の残り
194946482334531628935425051808578044214162726648085520630686344671451172966801303445055605057781560537366278551696955605462048465519320578121629989042593610087<159>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 10, 2008 09:00:00 UTC 2008 年 4 月 10 日 (木) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 9, 2010 10:55:50 UTC 2010 年 10 月 9 日 (土) 19 時 55 分 50 秒 (日本時間)
403e62610110Ignacio SantosOctober 9, 2010 10:55:50 UTC 2010 年 10 月 9 日 (土) 19 時 55 分 50 秒 (日本時間)
2500Warut RoonguthaiMarch 6, 2013 13:22:01 UTC 2013 年 3 月 6 日 (水) 22 時 22 分 1 秒 (日本時間)
4511e632 / 3888Ignacio SantosOctober 9, 2010 10:55:50 UTC 2010 年 10 月 9 日 (土) 19 時 55 分 50 秒 (日本時間)

5×10192-113

c173

name 名前matsui
date 日付February 7, 2011 08:45:04 UTC 2011 年 2 月 7 日 (月) 17 時 45 分 4 秒 (日本時間)
composite number 合成数
14692139865248233668231399862082094226930303880541523244268719925430251831601648486829868906692353180558079474749164997746237565798579644027002012083295689163076043540982323<173>
prime factors 素因数
13132828740010724343224010823400629363666153<44>
1118733835345532418981718965238057138549263892498381061669912214263187890932412715305968375768499445585262321797176957822737480891<130>
factorization results 素因数分解の結果
N=14692139865248233668231399862082094226930303880541523244268719925430251831601648486829868906692353180558079474749164997746237565798579644027002012083295689163076043540982323
  ( 173 digits)
SNFS difficulty: 192 digits.
Divisors found:
 r1=13132828740010724343224010823400629363666153 (pp44)
 r2=1118733835345532418981718965238057138549263892498381061669912214263187890932412715305968375768499445585262321797176957822737480891 (pp130)
Version: Msieve v. 1.48
Total time:
Scaled time: 27.60 units (timescale=0.534).
Factorization parameters were as follows:
n: 14692139865248233668231399862082094226930303880541523244268719925430251831601648486829868906692353180558079474749164997746237565798579644027002012083295689163076043540982323
m: 100000000000000000000000000000000000000
deg: 5
c5: 500
c0: -11
skew: 0.47
type: snfs
lss: 1
rlim: 11400000
alim: 11400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 11400000/11400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5700000, 16580001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2227023 x 2227247
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,192.000,5,0,0,0,0,0,0,0,0,11400000,11400000,28,28,55,55,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 10, 2008 09:00:00 UTC 2008 年 4 月 10 日 (木) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 9, 2010 11:43:40 UTC 2010 年 10 月 9 日 (土) 20 時 43 分 40 秒 (日本時間)
403e6110 / 2144Ignacio SantosOctober 9, 2010 11:43:40 UTC 2010 年 10 月 9 日 (土) 20 時 43 分 40 秒 (日本時間)
4511e632 / 4441Ignacio SantosOctober 9, 2010 11:43:40 UTC 2010 年 10 月 9 日 (土) 20 時 43 分 40 秒 (日本時間)

5×10194-113

c168

composite cofactor 合成数の残り
613413141701543462443539696408744809608766051376131805738388511910475818874866309005754112447784322519021407400374672063171661582253316933558913063641889173920176391063<168>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 10, 2008 09:00:00 UTC 2008 年 4 月 10 日 (木) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 9, 2010 13:04:38 UTC 2010 年 10 月 9 日 (土) 22 時 4 分 38 秒 (日本時間)
403e62210110Ignacio SantosOctober 9, 2010 13:04:38 UTC 2010 年 10 月 9 日 (土) 22 時 4 分 38 秒 (日本時間)
2100Warut RoonguthaiMarch 6, 2013 13:52:33 UTC 2013 年 3 月 6 日 (水) 22 時 52 分 33 秒 (日本時間)
4511e632 / 3977Ignacio SantosOctober 9, 2010 13:04:38 UTC 2010 年 10 月 9 日 (土) 22 時 4 分 38 秒 (日本時間)

5×10195-113

c166

composite cofactor 合成数の残り
1539541323326802338928306590848574949528771318443479806421656549621917982683839542926646632902750011897350263565320697603057756075292473327125625403933688882885668233<166>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 10, 2008 09:00:00 UTC 2008 年 4 月 10 日 (木) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 9, 2010 20:43:00 UTC 2010 年 10 月 10 日 (日) 5 時 43 分 0 秒 (日本時間)
403e62210110Ignacio SantosOctober 9, 2010 20:43:00 UTC 2010 年 10 月 10 日 (日) 5 時 43 分 0 秒 (日本時間)
2100Warut RoonguthaiMarch 6, 2013 13:51:39 UTC 2013 年 3 月 6 日 (水) 22 時 51 分 39 秒 (日本時間)
4511e632 / 3977Ignacio SantosOctober 9, 2010 20:43:00 UTC 2010 年 10 月 10 日 (日) 5 時 43 分 0 秒 (日本時間)

5×10196-113

c192

name 名前Robert Backstrom
date 日付March 16, 2010 11:49:12 UTC 2010 年 3 月 16 日 (火) 20 時 49 分 12 秒 (日本時間)
composite number 合成数
947993098610242117437385055836793508143260717061979788787137629638056234950609559562406385681512238590903058225736116641070853004190129495857270159073241946798627305993212369413950666439148323<192>
prime factors 素因数
2859198413538588713138540289799515911900717341699<49>
115904230607616590965250035327810014752481280536373880263291165199653<69>
2860629369300813666737589953106059782308628827612709343850239381415914176909<76>
factorization results 素因数分解の結果
Tue Mar 16 17:43:00 2010  
Tue Mar 16 17:43:00 2010  
Tue Mar 16 17:43:00 2010  Msieve v. 1.42
Tue Mar 16 17:43:00 2010  random seeds: 0b7907a2 e334f820
Tue Mar 16 17:43:00 2010  factoring 947993098610242117437385055836793508143260717061979788787137629638056234950609559562406385681512238590903058225736116641070853004190129495857270159073241946798627305993212369413950666439148323 (192 digits)
Tue Mar 16 17:43:01 2010  no P-1/P+1/ECM available, skipping
Tue Mar 16 17:43:01 2010  commencing number field sieve (192-digit input)
Tue Mar 16 17:43:01 2010  R0: -1000000000000000000000000000000000000000
Tue Mar 16 17:43:01 2010  R1:  1
Tue Mar 16 17:43:01 2010  A0: -11
Tue Mar 16 17:43:01 2010  A1:  0
Tue Mar 16 17:43:01 2010  A2:  0
Tue Mar 16 17:43:01 2010  A3:  0
Tue Mar 16 17:43:01 2010  A4:  0
Tue Mar 16 17:43:01 2010  A5:  50
Tue Mar 16 17:43:01 2010  skew 1.00, size 1.254841e-13, alpha 0.949425, combined = 2.311491e-11
Tue Mar 16 17:43:01 2010  
Tue Mar 16 17:43:01 2010  commencing relation filtering
Tue Mar 16 17:43:01 2010  estimated available RAM is 7923.9 MB
Tue Mar 16 17:43:01 2010  commencing duplicate removal, pass 1
Tue Mar 16 17:43:42 2010  error -11 reading relation 7707332
Tue Mar 16 17:44:00 2010  error -11 reading relation 10647769
Tue Mar 16 17:45:52 2010  found 3975035 hash collisions in 29728311 relations
Tue Mar 16 17:46:25 2010  added 730439 free relations
Tue Mar 16 17:46:25 2010  commencing duplicate removal, pass 2
Tue Mar 16 17:46:39 2010  found 3128911 duplicates and 27329839 unique relations
Tue Mar 16 17:46:39 2010  memory use: 165.2 MB
Tue Mar 16 17:46:39 2010  reading ideals above 720000
Tue Mar 16 17:46:40 2010  commencing singleton removal, initial pass
Tue Mar 16 17:50:34 2010  memory use: 532.8 MB
Tue Mar 16 17:50:34 2010  reading all ideals from disk
Tue Mar 16 17:50:35 2010  memory use: 916.0 MB
Tue Mar 16 17:50:41 2010  keeping 25164572 ideals with weight <= 200, target excess is 148385
Tue Mar 16 17:50:46 2010  commencing in-memory singleton removal
Tue Mar 16 17:50:52 2010  begin with 27329839 relations and 25164572 unique ideals
Tue Mar 16 17:51:42 2010  reduce to 17899546 relations and 14553376 ideals in 12 passes
Tue Mar 16 17:51:42 2010  max relations containing the same ideal: 157
Tue Mar 16 17:51:57 2010  removing 2153930 relations and 1753930 ideals in 400000 cliques
Tue Mar 16 17:51:58 2010  commencing in-memory singleton removal
Tue Mar 16 17:52:02 2010  begin with 15745616 relations and 14553376 unique ideals
Tue Mar 16 17:52:25 2010  reduce to 15583248 relations and 12632667 ideals in 7 passes
Tue Mar 16 17:52:25 2010  max relations containing the same ideal: 144
Tue Mar 16 17:52:38 2010  removing 1619330 relations and 1219330 ideals in 400000 cliques
Tue Mar 16 17:52:39 2010  commencing in-memory singleton removal
Tue Mar 16 17:52:42 2010  begin with 13963918 relations and 12632667 unique ideals
Tue Mar 16 17:53:00 2010  reduce to 13858522 relations and 11305281 ideals in 6 passes
Tue Mar 16 17:53:00 2010  max relations containing the same ideal: 129
Tue Mar 16 17:53:12 2010  removing 1447193 relations and 1047193 ideals in 400000 cliques
Tue Mar 16 17:53:12 2010  commencing in-memory singleton removal
Tue Mar 16 17:53:15 2010  begin with 12411329 relations and 11305281 unique ideals
Tue Mar 16 17:53:30 2010  reduce to 12314688 relations and 10158945 ideals in 6 passes
Tue Mar 16 17:53:30 2010  max relations containing the same ideal: 119
Tue Mar 16 17:53:41 2010  removing 1365563 relations and 965563 ideals in 400000 cliques
Tue Mar 16 17:53:42 2010  commencing in-memory singleton removal
Tue Mar 16 17:53:44 2010  begin with 10949125 relations and 10158945 unique ideals
Tue Mar 16 17:53:57 2010  reduce to 10850681 relations and 9092285 ideals in 6 passes
Tue Mar 16 17:53:57 2010  max relations containing the same ideal: 110
Tue Mar 16 17:54:07 2010  removing 1317913 relations and 917913 ideals in 400000 cliques
Tue Mar 16 17:54:07 2010  commencing in-memory singleton removal
Tue Mar 16 17:54:09 2010  begin with 9532768 relations and 9092285 unique ideals
Tue Mar 16 17:54:21 2010  reduce to 9433680 relations and 8072204 ideals in 6 passes
Tue Mar 16 17:54:21 2010  max relations containing the same ideal: 100
Tue Mar 16 17:54:29 2010  removing 1279982 relations and 879982 ideals in 400000 cliques
Tue Mar 16 17:54:30 2010  commencing in-memory singleton removal
Tue Mar 16 17:54:31 2010  begin with 8153698 relations and 8072204 unique ideals
Tue Mar 16 17:54:41 2010  reduce to 8042807 relations and 7077361 ideals in 6 passes
Tue Mar 16 17:54:41 2010  max relations containing the same ideal: 89
Tue Mar 16 17:54:48 2010  removing 1260572 relations and 860572 ideals in 400000 cliques
Tue Mar 16 17:54:49 2010  commencing in-memory singleton removal
Tue Mar 16 17:54:50 2010  begin with 6782235 relations and 7077361 unique ideals
Tue Mar 16 17:54:59 2010  reduce to 6654272 relations and 6083297 ideals in 7 passes
Tue Mar 16 17:54:59 2010  max relations containing the same ideal: 77
Tue Mar 16 17:55:05 2010  removing 1234934 relations and 836086 ideals in 398848 cliques
Tue Mar 16 17:55:06 2010  commencing in-memory singleton removal
Tue Mar 16 17:55:07 2010  begin with 5419338 relations and 6083297 unique ideals
Tue Mar 16 17:55:14 2010  reduce to 5256648 relations and 5075935 ideals in 7 passes
Tue Mar 16 17:55:14 2010  max relations containing the same ideal: 66
Tue Mar 16 17:55:18 2010  removing 56976 relations and 48390 ideals in 8586 cliques
Tue Mar 16 17:55:19 2010  commencing in-memory singleton removal
Tue Mar 16 17:55:20 2010  begin with 5199672 relations and 5075935 unique ideals
Tue Mar 16 17:55:25 2010  reduce to 5199372 relations and 5027242 ideals in 5 passes
Tue Mar 16 17:55:25 2010  max relations containing the same ideal: 66
Tue Mar 16 17:55:27 2010  relations with 0 large ideals: 3274
Tue Mar 16 17:55:27 2010  relations with 1 large ideals: 1167
Tue Mar 16 17:55:27 2010  relations with 2 large ideals: 17329
Tue Mar 16 17:55:27 2010  relations with 3 large ideals: 120200
Tue Mar 16 17:55:27 2010  relations with 4 large ideals: 450833
Tue Mar 16 17:55:27 2010  relations with 5 large ideals: 1012011
Tue Mar 16 17:55:27 2010  relations with 6 large ideals: 1463388
Tue Mar 16 17:55:27 2010  relations with 7+ large ideals: 2131170
Tue Mar 16 17:55:27 2010  commencing 2-way merge
Tue Mar 16 17:55:32 2010  reduce to 3552962 relation sets and 3380832 unique ideals
Tue Mar 16 17:55:32 2010  commencing full merge
Tue Mar 16 17:56:40 2010  memory use: 427.1 MB
Tue Mar 16 17:56:40 2010  found 1860409 cycles, need 1837032
Tue Mar 16 17:56:41 2010  weight of 1837032 cycles is about 128625666 (70.02/cycle)
Tue Mar 16 17:56:41 2010  distribution of cycle lengths:
Tue Mar 16 17:56:41 2010  1 relations: 189324
Tue Mar 16 17:56:41 2010  2 relations: 210059
Tue Mar 16 17:56:41 2010  3 relations: 224426
Tue Mar 16 17:56:41 2010  4 relations: 217296
Tue Mar 16 17:56:41 2010  5 relations: 201224
Tue Mar 16 17:56:41 2010  6 relations: 176603
Tue Mar 16 17:56:41 2010  7 relations: 147905
Tue Mar 16 17:56:41 2010  8 relations: 119705
Tue Mar 16 17:56:41 2010  9 relations: 94894
Tue Mar 16 17:56:41 2010  10+ relations: 255596
Tue Mar 16 17:56:41 2010  heaviest cycle: 20 relations
Tue Mar 16 17:56:42 2010  commencing cycle optimization
Tue Mar 16 17:56:46 2010  start with 10119711 relations
Tue Mar 16 17:57:03 2010  pruned 327116 relations
Tue Mar 16 17:57:03 2010  memory use: 318.5 MB
Tue Mar 16 17:57:03 2010  distribution of cycle lengths:
Tue Mar 16 17:57:03 2010  1 relations: 189324
Tue Mar 16 17:57:03 2010  2 relations: 215142
Tue Mar 16 17:57:03 2010  3 relations: 233750
Tue Mar 16 17:57:03 2010  4 relations: 224699
Tue Mar 16 17:57:03 2010  5 relations: 208924
Tue Mar 16 17:57:03 2010  6 relations: 181029
Tue Mar 16 17:57:03 2010  7 relations: 150714
Tue Mar 16 17:57:03 2010  8 relations: 119328
Tue Mar 16 17:57:03 2010  9 relations: 92641
Tue Mar 16 17:57:03 2010  10+ relations: 221481
Tue Mar 16 17:57:03 2010  heaviest cycle: 20 relations
Tue Mar 16 17:57:06 2010  RelProcTime: 845
Tue Mar 16 17:57:06 2010  
Tue Mar 16 17:57:06 2010  commencing linear algebra
Tue Mar 16 17:57:07 2010  read 1837032 cycles
Tue Mar 16 17:57:10 2010  cycles contain 5109727 unique relations
Tue Mar 16 17:57:43 2010  read 5109727 relations
Tue Mar 16 17:57:50 2010  using 20 quadratic characters above 268434624
Tue Mar 16 17:58:14 2010  building initial matrix
Tue Mar 16 17:59:12 2010  memory use: 653.1 MB
Tue Mar 16 17:59:13 2010  read 1837032 cycles
Tue Mar 16 17:59:14 2010  matrix is 1836855 x 1837032 (546.6 MB) with weight 161949214 (88.16/col)
Tue Mar 16 17:59:14 2010  sparse part has weight 123076018 (67.00/col)
Tue Mar 16 17:59:35 2010  filtering completed in 2 passes
Tue Mar 16 17:59:35 2010  matrix is 1836491 x 1836668 (546.6 MB) with weight 161937519 (88.17/col)
Tue Mar 16 17:59:35 2010  sparse part has weight 123071986 (67.01/col)
Tue Mar 16 17:59:44 2010  read 1836668 cycles
Tue Mar 16 17:59:45 2010  matrix is 1836491 x 1836668 (546.6 MB) with weight 161937519 (88.17/col)
Tue Mar 16 17:59:45 2010  sparse part has weight 123071986 (67.01/col)
Tue Mar 16 17:59:45 2010  saving the first 48 matrix rows for later
Tue Mar 16 17:59:45 2010  matrix is 1836443 x 1836668 (520.0 MB) with weight 128585005 (70.01/col)
Tue Mar 16 17:59:45 2010  sparse part has weight 117960850 (64.23/col)
Tue Mar 16 17:59:45 2010  matrix includes 64 packed rows
Tue Mar 16 17:59:45 2010  using block size 65536 for processor cache size 6144 kB
Tue Mar 16 17:59:52 2010  commencing Lanczos iteration (4 threads)
Tue Mar 16 17:59:52 2010  memory use: 559.4 MB
Tue Mar 16 22:00:03 2010  lanczos halted after 29042 iterations (dim = 1836441)
Tue Mar 16 22:00:06 2010  recovered 37 nontrivial dependencies
Tue Mar 16 22:00:06 2010  BLanczosTime: 14580
Tue Mar 16 22:00:06 2010  
Tue Mar 16 22:00:06 2010  commencing square root phase
Tue Mar 16 22:00:06 2010  reading relations for dependency 1
Tue Mar 16 22:00:07 2010  read 918398 cycles
Tue Mar 16 22:00:08 2010  cycles contain 3197881 unique relations
Tue Mar 16 22:00:31 2010  read 3197881 relations
Tue Mar 16 22:00:47 2010  multiplying 2555286 relations
Tue Mar 16 22:03:41 2010  multiply complete, coefficients have about 74.28 million bits
Tue Mar 16 22:03:41 2010  initial square root is modulo 214891
Tue Mar 16 22:08:32 2010  reading relations for dependency 2
Tue Mar 16 22:08:32 2010  read 917773 cycles
Tue Mar 16 22:08:34 2010  cycles contain 3194925 unique relations
Tue Mar 16 22:08:57 2010  read 3194925 relations
Tue Mar 16 22:09:13 2010  multiplying 2552938 relations
Tue Mar 16 22:12:06 2010  multiply complete, coefficients have about 74.22 million bits
Tue Mar 16 22:12:07 2010  initial square root is modulo 212561
Tue Mar 16 22:16:55 2010  reading relations for dependency 3
Tue Mar 16 22:16:56 2010  read 917885 cycles
Tue Mar 16 22:16:57 2010  cycles contain 3196211 unique relations
Tue Mar 16 22:17:21 2010  read 3196211 relations
Tue Mar 16 22:17:36 2010  multiplying 2554506 relations
Tue Mar 16 22:20:30 2010  multiply complete, coefficients have about 74.26 million bits
Tue Mar 16 22:20:30 2010  initial square root is modulo 214091
Tue Mar 16 22:25:20 2010  reading relations for dependency 4
Tue Mar 16 22:25:20 2010  read 916410 cycles
Tue Mar 16 22:25:22 2010  cycles contain 3192418 unique relations
Tue Mar 16 22:25:45 2010  read 3192418 relations
Tue Mar 16 22:26:01 2010  multiplying 2551848 relations
Tue Mar 16 22:28:54 2010  multiply complete, coefficients have about 74.18 million bits
Tue Mar 16 22:28:55 2010  initial square root is modulo 211241
Tue Mar 16 22:33:44 2010  sqrtTime: 2018
Tue Mar 16 22:33:44 2010  prp49 factor: 2859198413538588713138540289799515911900717341699
Tue Mar 16 22:33:44 2010  prp69 factor: 115904230607616590965250035327810014752481280536373880263291165199653
Tue Mar 16 22:33:44 2010  prp76 factor: 2860629369300813666737589953106059782308628827612709343850239381415914176909
Tue Mar 16 22:33:44 2010  elapsed time 04:50:44

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 10, 2008 09:00:00 UTC 2008 年 4 月 10 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiJuly 30, 2009 12:25:53 UTC 2009 年 7 月 30 日 (木) 21 時 25 分 53 秒 (日本時間)
4511e6900Lionel DebrouxDecember 1, 2009 10:35:48 UTC 2009 年 12 月 1 日 (火) 19 時 35 分 48 秒 (日本時間)
5043e61010 / 7263yoyo@homeJanuary 17, 2010 10:50:38 UTC 2010 年 1 月 17 日 (日) 19 時 50 分 38 秒 (日本時間)

5×10197-113

c197

name 名前Robert Backstrom
date 日付May 22, 2009 11:01:12 UTC 2009 年 5 月 22 日 (金) 20 時 1 分 12 秒 (日本時間)
composite number 合成数
23809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809<197>
prime factors 素因数
770224136745202272960858853390184251348929602406163327279097423136818113201277<78>
30912461287097049773379532118577710425262942254107754948474511204970390341027073730433138066136695072775834272781147317<119>
factorization results 素因数分解の結果
Number: n
N=23809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809
  ( 197 digits)
SNFS difficulty: 198 digits.
Divisors found:

Fri May 22 20:51:57 2009  prp78 factor: 770224136745202272960858853390184251348929602406163327279097423136818113201277
Fri May 22 20:51:57 2009  prp119 factor: 30912461287097049773379532118577710425262942254107754948474511204970390341027073730433138066136695072775834272781147317
Fri May 22 20:51:57 2009  elapsed time 07:26:51 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20050930-k8
Total time: 11.89 hours.
Scaled time: 23.98 units (timescale=2.016).
Factorization parameters were as follows:
name: KA_1_6_196_3
n: 23809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809
m: 2000000000000000000000000000000000000000
deg: 5
c5: 125
c0: -88
skew: 0.93
type: snfs
lss: 1
rlim: 14300000
alim: 14300000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 14300000/14300000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [7150000, 10150057)
Primes: RFBsize:928293, AFBsize:926118, largePrimes:36842353 encountered
Relations: rels:37172595, finalFF:2021767
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7310015 hash collisions in 43187116 relations
Msieve: matrix is 2219007 x 2219255 (603.4 MB)

Total sieving time: 11.02 hours.
Total relation processing time: 0.87 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14300000,14300000,29,29,56,56,2.5,2.5,100000
total time: 11.89 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 3368968k/3407296k available (2747k kernel code, 36968k reserved, 1425k data, 416k init, 2489792k highmem)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.97 BogoMIPS (lpj=2830488)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830449)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830459)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830456)
Total of 4 processors activated (22643.70 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 10, 2008 09:00:00 UTC 2008 年 4 月 10 日 (木) 18 時 0 分 0 秒 (日本時間)

5×10198-113

c124

name 名前Tyler Cadigan
date 日付August 3, 2008 17:24:08 UTC 2008 年 8 月 4 日 (月) 2 時 24 分 8 秒 (日本時間)
composite number 合成数
3648084942904409231781740133863005618024633980723139006909650256997407933041732927137820715390571584310230633883275803800033<124>
prime factors 素因数
58029655586752866277654340982152770761209260744213665747727<59>
62865872733823391060391929387855942847658010265702276841724324879<65>
factorization results 素因数分解の結果
Number: 16663_198
N=3648084942904409231781740133863005618024633980723139006909650256997407933041732927137820715390571584310230633883275803800033
  ( 124 digits)
Divisors found:
 r1=58029655586752866277654340982152770761209260744213665747727
 r2=62865872733823391060391929387855942847658010265702276841724324879
Version: 
Total time: 82.43 hours.
Scaled time: 205.57 units (timescale=2.494).
Factorization parameters were as follows:
name: 16663_198
n: 3648084942904409231781740133863005618024633980723139006909650256997407933041732927137820715390571584310230633883275803800033
skew: 212888.11
# norm 1.22e+017
c5: 10740
c4: 7370305606
c3: -2467585952064540
c2: -248933528645380281069
c1: 34811739326102006425315528
c0: 1611754352640371786855945807871
# alpha -5.96
Y1: 22584968622799
Y0: -805768826493317965725508
# Murphy_E 1.69e-010
# M 2314935598007029659498302023408434039733754485237880886588822343019923669131832398564903343895745163314827211213456861106685
type: gnfs
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
qintsize: 1000000Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved algebraic special-q in [2700000, 6700001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 715840 x 716088
Total sieving time: 82.43 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,123,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5400000,5400000,27,27,51,51,2.5,2.5,
total time: 82.43 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
msieve, ggnfs
execution environment 実行環境
C2Q Q6600 2.4 ghz, 4 gb ram, windows vista

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 10, 2008 09:00:00 UTC 2008 年 4 月 10 日 (木) 18 時 0 分 0 秒 (日本時間)

5×10200-113

c193

name 名前Robert Backstrom
date 日付March 19, 2010 11:05:29 UTC 2010 年 3 月 19 日 (金) 20 時 5 分 29 秒 (日本時間)
composite number 合成数
1719911675105464897921883352267324991066864755085970593438633962491127362648257805321223036209407130519209034773081372051833611080149834439754233840354007631378815730255767411638497144893302063<193>
prime factors 素因数
1339359143519096207362522814013815600726895472678150173591564446166734174441<76>
1284130312192804975762461273108828293689792063963988750097089111999793873028037615894952326739524925022901082378477143<118>
factorization results 素因数分解の結果
Number: n
N=1719911675105464897921883352267324991066864755085970593438633962491127362648257805321223036209407130519209034773081372051833611080149834439754233840354007631378815730255767411638497144893302063
  ( 193 digits)
SNFS difficulty: 200 digits.
Divisors found:

Fri Mar 19 11:31:11 2010  prp76 factor: 1339359143519096207362522814013815600726895472678150173591564446166734174441
Fri Mar 19 11:31:11 2010  prp118 factor: 1284130312192804975762461273108828293689792063963988750097089111999793873028037615894952326739524925022901082378477143
Fri Mar 19 11:31:11 2010  elapsed time 09:46:54 (Msieve 1.42 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.090).
Factorization parameters were as follows:
name: KA_1_6_199_3
n: 1719911675105464897921883352267324991066864755085970593438633962491127362648257805321223036209407130519209034773081372051833611080149834439754233840354007631378815730255767411638497144893302063
m: 10000000000000000000000000000000000000000
deg: 5
c5: 5
c0: -11
skew: 1.17
type: snfs
lss: 1
rlim: 15500000
alim: 15500000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 15500000/15500000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 19650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4037758 hash collisions in 41105204 relations
Msieve: matrix is 2522198 x 2522428 (719.3 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,200,5,0,0,0,0,0,0,0,0,15500000,15500000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.44 BogoMIPS (lpj=2830723)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830452)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
Total of 4 processors activated (22644.18 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 10, 2008 09:00:00 UTC 2008 年 4 月 10 日 (木) 18 時 0 分 0 秒 (日本時間)

5×10201-113

c140

name 名前Maksym Voznyy
date 日付February 16, 2015 21:41:56 UTC 2015 年 2 月 17 日 (火) 6 時 41 分 56 秒 (日本時間)
composite number 合成数
27668320234957795063630839803934167906224021958780592771651388177084176056051175281562608197569812293101945638955267042768203563971260004943<140>
prime factors 素因数
119556634126681371401069537319343040558594609266129671273421<60>
231424382570361063393368253294376100146787407422837227622096589926643254403091083<81>
factorization results 素因数分解の結果
Number: example8
N = 27668320234957795063630839803934167906224021958780592771651388177084176056051175281562608197569812293101945638955267042768203563971260004943 (140 digits)
Divisors found:
r5=119556634126681371401069537319343040558594609266129671273421 (pp60)
r11=231424382570361063393368253294376100146787407422837227622096589926643254403091083 (pp81)
Version: Msieve v. 1.51 (SVN 845)
Total time: 220.89 hours.
Factorization parameters were as follows:
# Murphy_E = 2.032e-11, selected by Maksym Voznyy
# expecting poly E from 2.22e-011 to > 2.55e-011; sieved all c5<2760
n: 27668320234957795063630839803934167906224021958780592771651388177084176056051175281562608197569812293101945638955267042768203563971260004943
Y0: -1633905734546116306702205170
Y1: 377535351511193
c0: -32352360500736299631632129634226599
c1: 237462735998619177956146757625
c2: -397884629236944589449119
c3: -28279181182715189
c4: 32488726130
c5: 2376
skew: 2953459.6
type: gnfs
# selected mechanically
rlim: 17600000
alim: 17600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 17600000/17600000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 22750807
Relations: 3283428 relations
Pruned matrix : 2059454 x 2059679
Polynomial selection time: 0.00 hours.
Total sieving time: 200.26 hours.
Total relation processing time: 0.94 hours.
Matrix solve time: 18.11 hours.
time per square root: 1.59 hours.
Prototype def-par.txt line would be: gnfs,139,5,65,2000,1e-05,0.28,250,20,50000,3600,17600000,17600000,28,28,55,55,2.6,2.6,100000
total time: 220.89 hours.
x86 Family 6 Model 15 Stepping 6, GenuineIntel
Windows-XP-5.1.2600-SP3
processors: 4, speed: 2.66GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 4, 2013 11:00:00 UTC 2013 年 3 月 4 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 6, 2013 04:55:55 UTC 2013 年 3 月 6 日 (水) 13 時 55 分 55 秒 (日本時間)
403e62900Warut RoonguthaiMarch 6, 2013 04:55:55 UTC 2013 年 3 月 6 日 (水) 13 時 55 分 55 秒 (日本時間)
4511e63900850Serge BatalovNovember 8, 2013 01:46:07 UTC 2013 年 11 月 8 日 (金) 10 時 46 分 7 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:09:14 UTC 2013 年 11 月 9 日 (土) 2 時 9 分 14 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:23:24 UTC 2014 年 1 月 6 日 (月) 11 時 23 分 24 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:18 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 18 秒 (日本時間)

5×10205-113

c178

composite cofactor 合成数の残り
1400481440727375620591054125296466352011245850506789191135044909776827679357188828315237836873192980077519549474885304221130847439302950768690644759939340973615722420436978725077<178>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 4, 2013 11:00:00 UTC 2013 年 3 月 4 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 6, 2013 07:56:38 UTC 2013 年 3 月 6 日 (水) 16 時 56 分 38 秒 (日本時間)
403e61000Dmitry DomanovMarch 6, 2013 15:36:55 UTC 2013 年 3 月 7 日 (木) 0 時 36 分 55 秒 (日本時間)
4511e6600 / 4194Dmitry DomanovMarch 7, 2013 12:27:27 UTC 2013 年 3 月 7 日 (木) 21 時 27 分 27 秒 (日本時間)

5×10206-113

c163

name 名前Warut Roonguthai
date 日付March 6, 2013 04:29:41 UTC 2013 年 3 月 6 日 (水) 13 時 29 分 41 秒 (日本時間)
composite number 合成数
3963722036521982284082059790074543367117074855755353395012341128948781480684841466190307602682439760764044430982181563642334221196713833581505682219357192670441697<163>
prime factors 素因数
577807709644006642424479882193913901<36>
6859932760267378190837829561240018484726026239414635670593901271322816522720989619855128742976599845840047700029707070756923397<127>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2421733132
Step 1 took 19516ms
Step 2 took 10795ms
********** Factor found in step 2: 577807709644006642424479882193913901
Found probable prime factor of 36 digits: 577807709644006642424479882193913901
Probable prime cofactor 6859932760267378190837829561240018484726026239414635670593901271322816522720989619855128742976599845840047700029707070756923397 has 127 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 KamadaMarch 4, 2013 11:00:00 UTC 2013 年 3 月 4 日 (月) 20 時 0 分 0 秒 (日本時間)

5×10207-113

c165

composite cofactor 合成数の残り
606391494788417722001108051489459286649604194335089052467330557418440608356549032955206439381706061180385882379381269875283925500017043971641469072964058203663349547<165>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 4, 2013 11:00:00 UTC 2013 年 3 月 4 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 6, 2013 07:54:57 UTC 2013 年 3 月 6 日 (水) 16 時 54 分 57 秒 (日本時間)
403e625001500Warut RoonguthaiMarch 6, 2013 07:54:57 UTC 2013 年 3 月 6 日 (水) 16 時 54 分 57 秒 (日本時間)
1000Dmitry DomanovMarch 6, 2013 15:37:05 UTC 2013 年 3 月 7 日 (木) 0 時 37 分 5 秒 (日本時間)
4511e6600 / 3862Dmitry DomanovMarch 7, 2013 12:30:31 UTC 2013 年 3 月 7 日 (木) 21 時 30 分 31 秒 (日本時間)

5×10209-113

c138

name 名前Erik Branger
date 日付May 23, 2014 21:46:07 UTC 2014 年 5 月 24 日 (土) 6 時 46 分 7 秒 (日本時間)
composite number 合成数
166573556400764773798855079742785094646646030003346001074801464695624053409035207376435891671875939048681768606606641794933431614767019283<138>
prime factors 素因数
133920033379603435228778954879850775798332800259511<51>
1243828516145924159340279729725779338432432819249110026103317311027241118733585362533253<88>
factorization results 素因数分解の結果
Number: 16663_209
N = 166573556400764773798855079742785094646646030003346001074801464695624053409035207376435891671875939048681768606606641794933431614767019283 (138 digits)
Divisors found:
r1=133920033379603435228778954879850775798332800259511 (pp51)
r2=1243828516145924159340279729725779338432432819249110026103317311027241118733585362533253 (pp88)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 143.98 hours.
Factorization parameters were as follows:
# Murphy_E = 2.953e-11, selected by Erik Branger
# expecting poly E from 3.03e-011 to > 3.48e-011
n: 166573556400764773798855079742785094646646030003346001074801464695624053409035207376435891671875939048681768606606641794933431614767019283
Y0: -518613485035688607759588472
Y1: 420154459552961
c0: 8123480325737143246942300230717339
c1: 14995047128533418465864660081
c2: -75017908964103739677787
c3: -38800824886977481
c4: 51263814528
c5: 4440
skew: 1273465.96
type: gnfs
# selected mechanically
rlim: 16000000
alim: 16000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23156337
Relations: 3548600 relations
Pruned matrix : 2198809 x 2199036
Polynomial selection time: 0.00 hours.
Total sieving time: 140.45 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 3.30 hours.
time per square root: 0.11 hours.
Prototype def-par.txt line would be: gnfs,137,5,65,2000,1e-05,0.28,250,20,50000,3600,16000000,16000000,28,28,55,55,2.6,2.6,100000
total time: 143.98 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
351e61418118Makoto KamadaMarch 4, 2013 11:00:00 UTC 2013 年 3 月 4 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 6, 2013 01:01:14 UTC 2013 年 3 月 6 日 (水) 10 時 1 分 14 秒 (日本時間)
403e64000Warut RoonguthaiMarch 6, 2013 01:01:14 UTC 2013 年 3 月 6 日 (水) 10 時 1 分 14 秒 (日本時間)
4511e62700 / 3531600Dmitry DomanovMarch 7, 2013 12:30:45 UTC 2013 年 3 月 7 日 (木) 21 時 30 分 45 秒 (日本時間)
850Serge BatalovNovember 8, 2013 01:45:47 UTC 2013 年 11 月 8 日 (金) 10 時 45 分 47 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:08:55 UTC 2013 年 11 月 9 日 (土) 2 時 8 分 55 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:23:12 UTC 2014 年 1 月 6 日 (月) 11 時 23 分 12 秒 (日本時間)

5×10211-113

c175

name 名前Dmitry Domanov
date 日付March 6, 2013 07:41:26 UTC 2013 年 3 月 6 日 (水) 16 時 41 分 26 秒 (日本時間)
composite number 合成数
1673158641107596021754287901284030434684858913517467442798100497667779364413095280363486916940837993937422239382152497010710339436492981437804659132566345356363186891142100297<175>
prime factors 素因数
27662811535150217551646386426610917727389<41>
composite cofactor 合成数の残り
60484041507551349376076538639403281360862447886154350244947047880872502699676382109119321864841657314216811389848128879555958730358173<134>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3215824874
Step 1 took 47805ms
Step 2 took 16439ms
********** Factor found in step 2: 27662811535150217551646386426610917727389
Found probable prime factor of 41 digits: 27662811535150217551646386426610917727389

c134

name 名前Warut Roonguthai
date 日付March 24, 2013 19:46:23 UTC 2013 年 3 月 25 日 (月) 4 時 46 分 23 秒 (日本時間)
composite number 合成数
60484041507551349376076538639403281360862447886154350244947047880872502699676382109119321864841657314216811389848128879555958730358173<134>
prime factors 素因数
1083175754786433654793029181225487845383720302079932445410741<61>
55839545189484782144347657027235538241853567618021708787082034895010842953<74>
factorization results 素因数分解の結果
N = 60484041507551349376076538639403281360862447886154350244947047880872502699676382109119321864841657314216811389848128879555958730358173 (134 digits)
Divisors found:
r1=1083175754786433654793029181225487845383720302079932445410741 (pp61)
r2=55839545189484782144347657027235538241853567618021708787082034895010842953 (pp74)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 42.28 hours.
Factorization parameters were as follows:
n: 60484041507551349376076538639403281360862447886154350244947047880872502699676382109119321864841657314216811389848128879555958730358173
Y0: -111690503061850116863683252
Y1: 446720459117017
c0: -84859373751377896409957698600395
c1: 14753487856671820879876906368
c2: 103956427808587987304845
c3: 44754781453135034
c4: -39419605508
c5: 3480
skew: 1451946.55
type: gnfs
Factor base limits: 8900000/8900000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 21598216
Relations: 3063150 relations
Pruned matrix : 1777558 x 1777788
Polynomial selection time: 0.00 hours.
Total sieving time: 39.55 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 2.51 hours.
time per square root: 0.12 hours.
Prototype def-par.txt line would be: gnfs,133,5,65,2000,1e-05,0.28,250,20,50000,3600,8900000,8900000,28,28,55,55,2.5,2.5,100000
total time: 42.28 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 4, 2013 11:00:00 UTC 2013 年 3 月 4 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 6, 2013 15:35:21 UTC 2013 年 3 月 7 日 (木) 0 時 35 分 21 秒 (日本時間)
403e643001000Dmitry DomanovMarch 6, 2013 15:38:33 UTC 2013 年 3 月 7 日 (木) 0 時 38 分 33 秒 (日本時間)
3300Warut RoonguthaiMarch 12, 2013 21:55:58 UTC 2013 年 3 月 13 日 (水) 6 時 55 分 58 秒 (日本時間)

5×10212-113

c204

name 名前Warut Roonguthai
date 日付March 4, 2013 21:06:37 UTC 2013 年 3 月 5 日 (火) 6 時 6 分 37 秒 (日本時間)
composite number 合成数
490357652720172236124858737399636133242087973601285859773008519364998961368552196875984941575459726456709818601042235380407556192925047802049935655906275007535399602998794778366122946430818404951152203527<204>
prime factors 素因数
11619906515159237377955417161<29>
composite cofactor 合成数の残り
42199793266878313753351256377258527398593678930618116219940314849686020383728587898486918973476838610009291105665642652984946697400068054739918030216760219877059044166089779407<176>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=735925616
Step 1 took 14851ms
Step 2 took 8845ms
********** Factor found in step 2: 11619906515159237377955417161
Found probable prime factor of 29 digits: 11619906515159237377955417161
Composite cofactor 42199793266878313753351256377258527398593678930618116219940314849686020383728587898486918973476838610009291105665642652984946697400068054739918030216760219877059044166089779407 has 176 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
351e61418118Makoto KamadaMarch 4, 2013 11:00:00 UTC 2013 年 3 月 4 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 6, 2013 07:58:30 UTC 2013 年 3 月 6 日 (水) 16 時 58 分 30 秒 (日本時間)
403e61700700Warut RoonguthaiMarch 6, 2013 07:58:30 UTC 2013 年 3 月 6 日 (水) 16 時 58 分 30 秒 (日本時間)
1000Dmitry DomanovMarch 6, 2013 15:38:47 UTC 2013 年 3 月 7 日 (木) 0 時 38 分 47 秒 (日本時間)
4511e6600 / 4039Dmitry DomanovMarch 7, 2013 12:31:09 UTC 2013 年 3 月 7 日 (木) 21 時 31 分 9 秒 (日本時間)

5×10213-113

c212

name 名前Dmitry Domanov
date 日付March 6, 2013 09:28:27 UTC 2013 年 3 月 6 日 (水) 18 時 28 分 27 秒 (日本時間)
composite number 合成数
18726591760299625468164794007490636704119850187265917602996254681647940074906367041198501872659176029962546816479400749063670411985018726591760299625468164794007490636704119850187265917602996254681647940074906367<212>
prime factors 素因数
48647073571139401288975381533500771557<38>
composite cofactor 合成数の残り
384947960598588896077563529299686843346702872272181746137433156913355772860709088839100231458473609689495520839046267668510162520587651806064816051378645454219377946911053331<174>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=400751541
Step 1 took 28178ms
Step 2 took 10633ms
********** Factor found in step 2: 48647073571139401288975381533500771557
Found probable prime factor of 38 digits: 48647073571139401288975381533500771557

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 4, 2013 11:00:00 UTC 2013 年 3 月 4 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 6, 2013 07:58:42 UTC 2013 年 3 月 6 日 (水) 16 時 58 分 42 秒 (日本時間)
403e61000Dmitry DomanovMarch 6, 2013 15:38:57 UTC 2013 年 3 月 7 日 (木) 0 時 38 分 57 秒 (日本時間)
4511e6600 / 4194Dmitry DomanovMarch 7, 2013 12:31:23 UTC 2013 年 3 月 7 日 (木) 21 時 31 分 23 秒 (日本時間)

5×10214-113

c210

name 名前Bob Backstrom
date 日付August 29, 2017 07:59:29 UTC 2017 年 8 月 29 日 (火) 16 時 59 分 29 秒 (日本時間)
composite number 合成数
170000374000822801810163982360761193674626084177385190247418544320797505754512659927851841274050802911766405886092949404488689875117725258995569790253538557784827126619678563292839244246337341942152272735000017<210>
prime factors 素因数
3334525514893378179064527998362313067067651697155702195236530435101403437423<76>
50981878303683809871706254620700522050215455476874739227818346356849854409848638805278050379219320145839015922344652909139514867033279<134>
factorization results 素因数分解の結果
Number: n
N=170000374000822801810163982360761193674626084177385190247418544320797505754512659927851841274050802911766405886092949404488689875117725258995569790253538557784827126619678563292839244246337341942152272735000017
  ( 210 digits)
SNFS difficulty: 215 digits.
Divisors found:

Tue Aug 29 17:30:23 2017  prp76 factor: 3334525514893378179064527998362313067067651697155702195236530435101403437423
Tue Aug 29 17:30:23 2017  prp134 factor: 50981878303683809871706254620700522050215455476874739227818346356849854409848638805278050379219320145839015922344652909139514867033279
Tue Aug 29 17:30:23 2017  elapsed time 10:52:58 (Msieve 1.44 - dependency 3)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=3.825).
Factorization parameters were as follows:
#
# 5x10^214-11 16(213)3
#
n: 170000374000822801810163982360761193674626084177385190247418544320797505754512659927851841274050802911766405886092949404488689875117725258995569790253538557784827126619678563292839244246337341942152272735000017
m: 500000000000000000000000000000000000
deg: 6
c6: 16
c0: -55
skew: 1.23
# Murphy_E = 5.09e-12
type: snfs
lss: 1
rlim: 27000000
alim: 27000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 27000000/27000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 19100000)
Primes: RFBsize:1683065, AFBsize:1681503,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 12771957 hash collisions in 73878414 relations (64065520 unique)
Msieve: matrix is 2966973 x 2967198 (846.6 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 10hrs 15min 21sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 13min 58sec.

Prototype def-par.txt line would be:
snfs,215,6,0,0,0,0,0,0,0,0,27000000,27000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 4, 2013 11:00:00 UTC 2013 年 3 月 4 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 6, 2013 07:59:04 UTC 2013 年 3 月 6 日 (水) 16 時 59 分 4 秒 (日本時間)
403e61000Dmitry DomanovMarch 6, 2013 15:39:08 UTC 2013 年 3 月 7 日 (木) 0 時 39 分 8 秒 (日本時間)
4511e64750800Dmitry DomanovMarch 13, 2013 22:24:59 UTC 2013 年 3 月 14 日 (木) 7 時 24 分 59 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:14:23 UTC 2013 年 11 月 9 日 (土) 2 時 14 分 23 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:27:36 UTC 2014 年 1 月 6 日 (月) 11 時 27 分 36 秒 (日本時間)
1800Serge BatalovMay 24, 2014 09:17:13 UTC 2014 年 5 月 24 日 (土) 18 時 17 分 13 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:27 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 27 秒 (日本時間)

5×10215-113

c160

composite cofactor 合成数の残り
2352834912825384191709142542040330851118160338801066124612232001971910532556865681656048860663091009530064053950981044479762296470794039446399191084495767054959<160>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 4, 2013 11:00:00 UTC 2013 年 3 月 4 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 6, 2013 05:07:41 UTC 2013 年 3 月 6 日 (水) 14 時 7 分 41 秒 (日本時間)
403e62600Warut RoonguthaiMarch 6, 2013 05:07:41 UTC 2013 年 3 月 6 日 (水) 14 時 7 分 41 秒 (日本時間)
4511e6600 / 3840Dmitry DomanovMarch 7, 2013 12:31:39 UTC 2013 年 3 月 7 日 (木) 21 時 31 分 39 秒 (日本時間)

5×10216-113

c198

name 名前Dmitry Domanov
date 日付March 6, 2013 09:11:52 UTC 2013 年 3 月 6 日 (水) 18 時 11 分 52 秒 (日本時間)
composite number 合成数
411442449293870031230029783699003625119963356337209528093896259504627042315342304040849668972407838127133183151056230989986893189901384702107353262678931062211483434753810002409780457613979118263251<198>
prime factors 素因数
9098959235198900697930921110934262669<37>
composite cofactor 合成数の残り
45218627609872571831447238045686321366044585176896950041341667772141745458853565327684442843224862269486408951185020941966286126216041745402263421139546412819679<161>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1801929155
Step 1 took 32368ms
Step 2 took 11449ms
********** Factor found in step 2: 9098959235198900697930921110934262669
Found probable prime factor of 37 digits: 9098959235198900697930921110934262669

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 4, 2013 11:00:00 UTC 2013 年 3 月 4 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 6, 2013 07:59:26 UTC 2013 年 3 月 6 日 (水) 16 時 59 分 26 秒 (日本時間)
403e61000Dmitry DomanovMarch 6, 2013 15:39:27 UTC 2013 年 3 月 7 日 (木) 0 時 39 分 27 秒 (日本時間)
4511e6600 / 4194Dmitry DomanovMarch 7, 2013 12:31:52 UTC 2013 年 3 月 7 日 (木) 21 時 31 分 52 秒 (日本時間)

5×10217-113

c203

composite cofactor 合成数の残り
13681712396571479204546651034542792385699659042878038676644501370753381011896911534268750754445498278755934884760233554330060260066827650011191757957495026035310670476165930393423547319518409703047223527<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 4, 2013 11:00:00 UTC 2013 年 3 月 4 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 6, 2013 07:59:35 UTC 2013 年 3 月 6 日 (水) 16 時 59 分 35 秒 (日本時間)
403e61000Dmitry DomanovMarch 6, 2013 15:39:38 UTC 2013 年 3 月 7 日 (木) 0 時 39 分 38 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovMarch 21, 2013 20:47:33 UTC 2013 年 3 月 22 日 (金) 5 時 47 分 33 秒 (日本時間)

5×10218-113

c219

name 名前Dmitry Domanov
date 日付March 25, 2013 05:41:07 UTC 2013 年 3 月 25 日 (月) 14 時 41 分 7 秒 (日本時間)
composite number 合成数
166666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663<219>
prime factors 素因数
180757209948649381793197708331057515241<39>
922047130037105334884732111446837533331685614659161590523719235236373989673588257153406842755808556501155714703447364605074931085847352707926484145180535173786748034186156998979343<180>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=381424383
Step 1 took 158101ms
Step 2 took 45773ms
********** Factor found in step 2: 180757209948649381793197708331057515241
Found probable prime factor of 39 digits: 180757209948649381793197708331057515241

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 4, 2013 11:00:00 UTC 2013 年 3 月 4 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 6, 2013 07:59:59 UTC 2013 年 3 月 6 日 (水) 16 時 59 分 59 秒 (日本時間)
403e61000Dmitry DomanovMarch 6, 2013 15:39:47 UTC 2013 年 3 月 7 日 (木) 0 時 39 分 47 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovMarch 21, 2013 20:47:45 UTC 2013 年 3 月 22 日 (金) 5 時 47 分 45 秒 (日本時間)

5×10219-113

c200

composite cofactor 合成数の残り
35604809120399838891189770366925284384576180000006614093780858001796533802012208438832664161985995794420332242222774295268955916176329159252546306791508710956645820755114481200923948937317668512674387<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 4, 2013 11:00:00 UTC 2013 年 3 月 4 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 6, 2013 08:00:17 UTC 2013 年 3 月 6 日 (水) 17 時 0 分 17 秒 (日本時間)
403e61000Dmitry DomanovMarch 6, 2013 15:39:56 UTC 2013 年 3 月 7 日 (木) 0 時 39 分 56 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovMarch 21, 2013 20:47:58 UTC 2013 年 3 月 22 日 (金) 5 時 47 分 58 秒 (日本時間)

5×10220-113

c219

composite cofactor 合成数の残り
877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 4, 2013 11:00:00 UTC 2013 年 3 月 4 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 6, 2013 08:00:31 UTC 2013 年 3 月 6 日 (水) 17 時 0 分 31 秒 (日本時間)
403e61000Dmitry DomanovMarch 6, 2013 15:40:06 UTC 2013 年 3 月 7 日 (木) 0 時 40 分 6 秒 (日本時間)
4511e649501000Dmitry DomanovMarch 21, 2013 20:48:10 UTC 2013 年 3 月 22 日 (金) 5 時 48 分 10 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:15:06 UTC 2013 年 11 月 9 日 (土) 2 時 15 分 6 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:28:12 UTC 2014 年 1 月 6 日 (月) 11 時 28 分 12 秒 (日本時間)
1800Serge BatalovMay 24, 2014 09:17:32 UTC 2014 年 5 月 24 日 (土) 18 時 17 分 32 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:39 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 39 秒 (日本時間)

5×10221-113

c200

composite cofactor 合成数の残り
43466726636673230300777578669876037031100245142762997932878548670659229075109832529610618048631085677336955344611715048042175816439033917015683491029114589091659825304446623657884882953328262660654827<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 4, 2013 11:00:00 UTC 2013 年 3 月 4 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 6, 2013 08:00:38 UTC 2013 年 3 月 6 日 (水) 17 時 0 分 38 秒 (日本時間)
403e61000Dmitry DomanovMarch 6, 2013 15:40:18 UTC 2013 年 3 月 7 日 (木) 0 時 40 分 18 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovMarch 21, 2013 20:48:41 UTC 2013 年 3 月 22 日 (金) 5 時 48 分 41 秒 (日本時間)

5×10226-113

c227

name 名前Warut Roonguthai
date 日付March 5, 2013 00:38:51 UTC 2013 年 3 月 5 日 (火) 9 時 38 分 51 秒 (日本時間)
composite number 合成数
16666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663<227>
prime factors 素因数
52782030512606849978817157873<29>
315764030008013369467643404071742639161697847894192123966855421104980918900155789480875548174659201988059143135880158224776086667163995506651504695505066943797753590365057979628258742303227694526231<198>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2194790002
Step 1 took 14133ms
Step 2 took 8019ms
********** Factor found in step 2: 52782030512606849978817157873
Found probable prime factor of 29 digits: 52782030512606849978817157873
Probable prime cofactor 315764030008013369467643404071742639161697847894192123966855421104980918900155789480875548174659201988059143135880158224776086667163995506651504695505066943797753590365057979628258742303227694526231 has 198 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 KamadaMarch 4, 2013 11:00:00 UTC 2013 年 3 月 4 日 (月) 20 時 0 分 0 秒 (日本時間)

5×10227-113

c176

name 名前Dmitry Domanov
date 日付March 6, 2013 07:40:28 UTC 2013 年 3 月 6 日 (水) 16 時 40 分 28 秒 (日本時間)
composite number 合成数
38891152322000299846147274784667770163914631849830925075387771886150569086035470517298656596511020559055911734598426944105914910075269671378602982047308063422277659456754905399<176>
prime factors 素因数
206971127213587667131306787598062405777939<42>
composite cofactor 合成数の残り
187906172448226842932335529302841248245225880463963798270159144464312881713460838753388447062218794526808873374635988412879090303144141<135>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=770891758
Step 1 took 46874ms
Step 2 took 16187ms
********** Factor found in step 2: 206971127213587667131306787598062405777939
Found probable prime factor of 42 digits: 206971127213587667131306787598062405777939

c135

name 名前Warut Roonguthai
date 日付March 27, 2013 19:59:39 UTC 2013 年 3 月 28 日 (木) 4 時 59 分 39 秒 (日本時間)
composite number 合成数
187906172448226842932335529302841248245225880463963798270159144464312881713460838753388447062218794526808873374635988412879090303144141<135>
prime factors 素因数
509057404237981276108534365603441659415308010262373<51>
369125703474458917751097749660333858902399983406017167782869399063883480776100620617<84>
factorization results 素因数分解の結果
N = 187906172448226842932335529302841248245225880463963798270159144464312881713460838753388447062218794526808873374635988412879090303144141 (135 digits)
Divisors found:
r1=509057404237981276108534365603441659415308010262373 (pp51)
r2=369125703474458917751097749660333858902399983406017167782869399063883480776100620617 (pp84)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 44.78 hours.
Factorization parameters were as follows:
n: 187906172448226842932335529302841248245225880463963798270159144464312881713460838753388447062218794526808873374635988412879090303144141
Y0: -209286549500291625217413959
Y1: 193292594250607
c0: -8709527588794835476431762360739440
c1: 4963532294183891951438713458
c2: 51282148929890541825603
c3: 12769560444546974
c4: -13296460068
c5: 468
skew: 1996934.59
type: gnfs
Factor base limits: 9300000/9300000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 21914273
Relations: 3067682 relations
Pruned matrix : 1805240 x 1805470
Polynomial selection time: 0.00 hours.
Total sieving time: 41.91 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 2.65 hours.
time per square root: 0.13 hours.
Prototype def-par.txt line would be: gnfs,134,5,65,2000,1e-05,0.28,250,20,50000,3600,9300000,9300000,28,28,55,55,2.5,2.5,100000
total time: 44.78 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 4, 2013 11:00:00 UTC 2013 年 3 月 4 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 6, 2013 15:35:30 UTC 2013 年 3 月 7 日 (木) 0 時 35 分 30 秒 (日本時間)
403e641001000Dmitry DomanovMarch 6, 2013 15:40:30 UTC 2013 年 3 月 7 日 (木) 0 時 40 分 30 秒 (日本時間)
3100Warut RoonguthaiMarch 12, 2013 21:54:53 UTC 2013 年 3 月 13 日 (水) 6 時 54 分 53 秒 (日本時間)

5×10229-113

c181

composite cofactor 合成数の残り
7963437571346694179277341084312920780175349287386896444908349659091841666976165654895117382680895321530005825731599707495762563954754685767757222771910489519496776410800042245015771<181>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 4, 2013 11:00:00 UTC 2013 年 3 月 4 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 6, 2013 08:01:01 UTC 2013 年 3 月 6 日 (水) 17 時 1 分 1 秒 (日本時間)
403e61000Dmitry DomanovMarch 6, 2013 15:40:41 UTC 2013 年 3 月 7 日 (木) 0 時 40 分 41 秒 (日本時間)
4511e6600 / 4194Dmitry DomanovMarch 7, 2013 12:32:14 UTC 2013 年 3 月 7 日 (木) 21 時 32 分 14 秒 (日本時間)

5×10231-113

c228

composite cofactor 合成数の残り
188047688893903493926059648726917146188273346120576178118770920305389446763699274135920869532513445409755914099815713264883974575952461544247621196735492120801835345443604498100718342171574711346797547858136823498439204182180601<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 4, 2013 11:00:00 UTC 2013 年 3 月 4 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 6, 2013 08:01:08 UTC 2013 年 3 月 6 日 (水) 17 時 1 分 8 秒 (日本時間)
403e61000Dmitry DomanovMarch 6, 2013 15:40:52 UTC 2013 年 3 月 7 日 (木) 0 時 40 分 52 秒 (日本時間)
4511e639501000Dmitry DomanovMarch 21, 2013 20:49:17 UTC 2013 年 3 月 22 日 (金) 5 時 49 分 17 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:16:11 UTC 2013 年 11 月 9 日 (土) 2 時 16 分 11 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:29:01 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 1 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:24:24 UTC 2014 年 2 月 24 日 (月) 4 時 24 分 24 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:04:02 UTC 2014 年 5 月 25 日 (日) 4 時 4 分 2 秒 (日本時間)
5043e670 / 6621KTakahashiSeptember 14, 2014 21:19:23 UTC 2014 年 9 月 15 日 (月) 6 時 19 分 23 秒 (日本時間)

5×10232-113

c198

composite cofactor 合成数の残り
394439114983252545381769745812395746504500306134101846366226499274484241315767491795346884927712181477159601298810647319983719517150219703791206931537035666926785393255212011961214583490888504545109<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 4, 2013 11:00:00 UTC 2013 年 3 月 4 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 6, 2013 08:01:16 UTC 2013 年 3 月 6 日 (水) 17 時 1 分 16 秒 (日本時間)
403e61000Dmitry DomanovMarch 6, 2013 15:41:05 UTC 2013 年 3 月 7 日 (木) 0 時 41 分 5 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovMarch 21, 2013 20:49:30 UTC 2013 年 3 月 22 日 (金) 5 時 49 分 30 秒 (日本時間)

5×10233-113

c233

name 名前matsui
date 日付January 20, 2016 21:47:20 UTC 2016 年 1 月 21 日 (木) 6 時 47 分 20 秒 (日本時間)
composite number 合成数
23809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809<233>
prime factors 素因数
44756348782254978314841723951230641777808202713751764729<56>
5970403475187464250200621452620831850003978284213424132187<58>
89103010687536380008759889970202787017896806943967559876894345830024889546046275225691355231089227668424459560100267083<119>
factorization results 素因数分解の結果
N=23809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809
  ( 233 digits)
SNFS difficulty: 234 digits.
Divisors found:
p56 factor: 44756348782254978314841723951230641777808202713751764729
p58 factor: 5970403475187464250200621452620831850003978284213424132187
p119 factor: 89103010687536380008759889970202787017896806943967559876894345830024889546046275225691355231089227668424459560100267083
Version: Msieve v. 1.53 (SVN unknown)
Total time:
Scaled time: 101.60 units (timescale=1.447).
Factorization parameters were as follows:
n: 23809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809
m: 1000000000000000000000000000000000000000
deg: 6
c6: 1
c0: -22
skew: 1.67
# Murphy_E = 1.159e-12
type: snfs
lss: 1
rlim: 56000000
alim: 56000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.7
alambda: 2.7
Factor base limits: 56000000/56000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 60/60
Sieved rational special-q in [28000000, 55400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 7072127 x 7072354
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,234.000,6,0,0,0,0,0,0,0,0,56000000,56000000,30,30,60,60,2.7,2.7,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 4, 2013 11:00:00 UTC 2013 年 3 月 4 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 6, 2013 08:01:32 UTC 2013 年 3 月 6 日 (水) 17 時 1 分 32 秒 (日本時間)
403e61000Dmitry DomanovMarch 6, 2013 15:41:14 UTC 2013 年 3 月 7 日 (木) 0 時 41 分 14 秒 (日本時間)
4511e630501000Dmitry DomanovMarch 21, 2013 20:49:42 UTC 2013 年 3 月 22 日 (金) 5 時 49 分 42 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:16:14 UTC 2013 年 11 月 9 日 (土) 2 時 16 分 14 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:29:02 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 2 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:24:25 UTC 2014 年 2 月 24 日 (月) 4 時 24 分 25 秒 (日本時間)
5043e6760 / 6823Serge BatalovFebruary 24, 2014 02:26:36 UTC 2014 年 2 月 24 日 (月) 11 時 26 分 36 秒 (日本時間)

5×10235-113

c203

name 名前Dmitry Domanov
date 日付March 6, 2013 09:29:28 UTC 2013 年 3 月 6 日 (水) 18 時 29 分 28 秒 (日本時間)
composite number 合成数
35909689770640841246165129072752860068930694520773584257392945150468558513158317629379108106769323976322757729816154826844965264061638713503444762687141672385145443560571524718211876220050591247695902457<203>
prime factors 素因数
102167369117365084195740214131516386987<39>
1684428455510333923039696392307509978907<40>
composite cofactor 合成数の残り
208663685410479631801553218769775700603956951266319319000624191023857139170570416225558617821835318735733427960899070085429873<126>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2933638396
Step 1 took 23703ms
Step 2 took 9040ms
********** Factor found in step 2: 1684428455510333923039696392307509978907
Found probable prime factor of 40 digits: 1684428455510333923039696392307509978907

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=247632339
Step 1 took 17866ms
Step 2 took 7777ms
********** Factor found in step 2: 102167369117365084195740214131516386987
Found probable prime factor of 39 digits: 102167369117365084195740214131516386987
Composite cofactor 208663685410479631801553218769775700603956951266319319000624191023857139170570416225558617821835318735733427960899070085429873 has 126 digits

c126

name 名前Warut Roonguthai
date 日付March 10, 2013 04:47:02 UTC 2013 年 3 月 10 日 (日) 13 時 47 分 2 秒 (日本時間)
composite number 合成数
208663685410479631801553218769775700603956951266319319000624191023857139170570416225558617821835318735733427960899070085429873<126>
prime factors 素因数
382009103143745013785113979986898108440229233267782022223<57>
546226997454461771092036496911389431436414325353149570470152960095551<69>
factorization results 素因数分解の結果
N = 208663685410479631801553218769775700603956951266319319000624191023857139170570416225558617821835318735733427960899070085429873 (126 digits)
Divisors found:
r1=382009103143745013785113979986898108440229233267782022223 (pp57)
r2=546226997454461771092036496911389431436414325353149570470152960095551 (pp69)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 18.30 hours.
Factorization parameters were as follows:
n: 208663685410479631801553218769775700603956951266319319000624191023857139170570416225558617821835318735733427960899070085429873
Y0: -1921996632125220879343266
Y1: 25987212101963
c0: -21965139356514727504860334144985
c1: 183543884211692998489396406
c2: 1098555842773104137846
c3: -7225043021839862
c4: -14920397001
c5: 7956
skew: 324735.55 
type: gnfs
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 18658848
Relations: 1919148 relations
Pruned matrix : 1079528 x 1079769
Polynomial selection time: 0.00 hours.
Total sieving time: 17.16 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.92 hours.
time per square root: 0.14 hours.
Prototype def-par.txt line would be: gnfs,125,5,65,2000,1e-05,0.28,250,20,50000,3600,5800000,5800000,28,28,55,55,2.5,2.5,100000
total time: 18.30 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 4, 2013 11:00:00 UTC 2013 年 3 月 4 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 6, 2013 08:01:55 UTC 2013 年 3 月 6 日 (水) 17 時 1 分 55 秒 (日本時間)

5×10237-113

c168

name 名前Warut Roonguthai
date 日付March 5, 2013 21:57:55 UTC 2013 年 3 月 6 日 (水) 6 時 57 分 55 秒 (日本時間)
composite number 合成数
611194627255824749418951629149859603112179730906099885947451057080423718140005855589380650804444903161626410398010337110789020425094522197058862886721957989472226681887<168>
prime factors 素因数
138029837071551549914308446055273734851<39>
4427989195835935526411424883278651981406729675004233280709994955830345774569764773537427083164242585644064449943914342915987352437<130>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=736135146
Step 1 took 7894ms
Step 2 took 5881ms
********** Factor found in step 2: 138029837071551549914308446055273734851
Found probable prime factor of 39 digits: 138029837071551549914308446055273734851
Probable prime cofactor 4427989195835935526411424883278651981406729675004233280709994955830345774569764773537427083164242585644064449943914342915987352437 has 130 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 KamadaMarch 4, 2013 11:00:00 UTC 2013 年 3 月 4 日 (月) 20 時 0 分 0 秒 (日本時間)

5×10238-113

c216

name 名前Warut Roonguthai
date 日付March 5, 2013 02:51:16 UTC 2013 年 3 月 5 日 (火) 11 時 51 分 16 秒 (日本時間)
composite number 合成数
337823862244433340888746954126985989299751011763985542634133073269669964032005559784566182301847945723552299646697050073664203646470139922505316724248650985793206960707427117594639587870707774770291404625693718755933<216>
prime factors 素因数
3661454886311432355397059799<28>
92264925482875131026557989695648837650942883132096396371534455422417253845758249890163860091255259490711071651442673384780601732028460670373798211488051589347554623169381312661595094130667<188>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3315706110
Step 1 took 17191ms
Step 2 took 8892ms
********** Factor found in step 2: 3661454886311432355397059799
Found probable prime factor of 28 digits: 3661454886311432355397059799
Probable prime cofactor 92264925482875131026557989695648837650942883132096396371534455422417253845758249890163860091255259490711071651442673384780601732028460670373798211488051589347554623169381312661595094130667 has 188 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 KamadaMarch 4, 2013 11:00:00 UTC 2013 年 3 月 4 日 (月) 20 時 0 分 0 秒 (日本時間)

5×10239-113

c168

name 名前Dmitry Domanov
date 日付March 6, 2013 16:29:31 UTC 2013 年 3 月 7 日 (木) 1 時 29 分 31 秒 (日本時間)
composite number 合成数
269871459052928609422840247172944332310143123161326968094370983258105382225223777030777646926782844510805870118762172711485708530570789029738490260893760393990990225007<168>
prime factors 素因数
6942267594510960251341005694188334533203441<43>
784021082557140120582343278745588507693370831<45>
49582436696261837012396803620172837133830027932917941178369486883356011411644017<80>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1797169283
Step 1 took 39937ms
********** Factor found in step 1: 6942267594510960251341005694188334533203441
Found probable prime factor of 43 digits: 6942267594510960251341005694188334533203441

GNFS with YAFU:
prp45 = 784021082557140120582343278745588507693370831
prp80 = 49582436696261837012396803620172837133830027932917941178369486883356011411644017
NFS elapsed time = 26045.0639 seconds.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 4, 2013 11:00:00 UTC 2013 年 3 月 4 日 (月) 20 時 0 分 0 秒 (日本時間)

5×10240-113

c223

composite cofactor 合成数の残り
2841898696512577586699974022918677115119427911078187370065446782915384918617983316323881837490755569162401693555833177132379027753295999343112609574905087514755857914195608242642558716537986893878125724790331233306881223341<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 4, 2013 11:00:00 UTC 2013 年 3 月 4 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 6, 2013 08:02:02 UTC 2013 年 3 月 6 日 (水) 17 時 2 分 2 秒 (日本時間)
403e61000Dmitry DomanovMarch 6, 2013 15:41:27 UTC 2013 年 3 月 7 日 (木) 0 時 41 分 27 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovMarch 21, 2013 20:49:55 UTC 2013 年 3 月 22 日 (金) 5 時 49 分 55 秒 (日本時間)

5×10241-113

c221

name 名前Warut Roonguthai
date 日付March 5, 2013 16:50:32 UTC 2013 年 3 月 6 日 (水) 1 時 50 分 32 秒 (日本時間)
composite number 合成数
88030387795156124756500768088127753895943935087805339932934876898267294345398200792073649711974340986921201284693746768969718494168406965971318049125575352033381241459881009246771543871043074141271075327405612870597551991<221>
prime factors 素因数
7212072220014676650086208852701<31>
287610863956261373063813642143937<33>
42439207106557956121904527277573120231254529728989198738583121589569386467706878025296276557304514120282347098609970222118818560510815903909482404303774571043<158>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3667865254
Step 1 took 14102ms
Step 2 took 8003ms
********** Factor found in step 2: 7212072220014676650086208852701
Found probable prime factor of 31 digits: 7212072220014676650086208852701
Composite cofactor 12205977021535841179193763094286341702193455320436131344007208063267503961997574009462887807794106467652067942943736928051614096422905420487061758752350160558232039811624720592513969038216291 has 191 digits

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2040940848
Step 1 took 10546ms
Step 2 took 6630ms
********** Factor found in step 2: 287610863956261373063813642143937
Found probable prime factor of 33 digits: 287610863956261373063813642143937
Probable prime cofactor 42439207106557956121904527277573120231254529728989198738583121589569386467706878025296276557304514120282347098609970222118818560510815903909482404303774571043 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
3025e40--
351e6118 / 904Makoto KamadaMarch 4, 2013 11:00:00 UTC 2013 年 3 月 4 日 (月) 20 時 0 分 0 秒 (日本時間)

5×10242-113

c217

composite cofactor 合成数の残り
7738999206628795285223481008678685108946520682197378135187249702073572671562180851671716042220950460760049599145717766703932866771559133761758523950975614669745991221664229061893851966044788754907734048507221724457099<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 4, 2013 11:00:00 UTC 2013 年 3 月 4 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 6, 2013 08:02:08 UTC 2013 年 3 月 6 日 (水) 17 時 2 分 8 秒 (日本時間)
403e61000Dmitry DomanovMarch 6, 2013 15:41:37 UTC 2013 年 3 月 7 日 (木) 0 時 41 分 37 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovMarch 21, 2013 20:50:07 UTC 2013 年 3 月 22 日 (金) 5 時 50 分 7 秒 (日本時間)

5×10243-113

c187

composite cofactor 合成数の残り
1126348642952942590596977601467025257964007706448610326614731301362815259483911931259915881687900819742300265571756013313383956779807029975310948080913510791986360182747069995424687880619<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 4, 2013 11:00:00 UTC 2013 年 3 月 4 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 6, 2013 08:02:15 UTC 2013 年 3 月 6 日 (水) 17 時 2 分 15 秒 (日本時間)
403e61000Dmitry DomanovMarch 6, 2013 15:41:46 UTC 2013 年 3 月 7 日 (木) 0 時 41 分 46 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovMarch 13, 2013 14:13:04 UTC 2013 年 3 月 13 日 (水) 23 時 13 分 4 秒 (日本時間)

5×10244-113

c217

composite cofactor 合成数の残り
4080625699911817908184525383829125636109444845017118468081975404313645934894397530309675934741906980317473909980540769734069797327457902115695777700112319663124805025165690464238188124638641139469199282628785738149481<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 4, 2013 11:00:00 UTC 2013 年 3 月 4 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 6, 2013 08:02:33 UTC 2013 年 3 月 6 日 (水) 17 時 2 分 33 秒 (日本時間)
403e61000Dmitry DomanovMarch 6, 2013 15:42:04 UTC 2013 年 3 月 7 日 (木) 0 時 42 分 4 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovMarch 13, 2013 14:12:52 UTC 2013 年 3 月 13 日 (水) 23 時 12 分 52 秒 (日本時間)

5×10245-113

c238

composite cofactor 合成数の残り
3161771861251054822423920923782220012438789914784999797994395784670107395335692179553963405285712344386362906138053317426838512002626648297278036295838317155273926839773549599287468152183440286906261058889916949548814206867916101523659757<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 4, 2013 11:00:00 UTC 2013 年 3 月 4 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 6, 2013 08:04:25 UTC 2013 年 3 月 6 日 (水) 17 時 4 分 25 秒 (日本時間)
403e61000Dmitry DomanovMarch 6, 2013 15:42:14 UTC 2013 年 3 月 7 日 (木) 0 時 42 分 14 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovMarch 13, 2013 14:12:39 UTC 2013 年 3 月 13 日 (水) 23 時 12 分 39 秒 (日本時間)

5×10247-113

c247

name 名前[SG-FC] hl
date 日付October 16, 2013 01:29:58 UTC 2013 年 10 月 16 日 (水) 10 時 29 分 58 秒 (日本時間)
composite number 合成数
1282051282051282051282051282051282051282051282051282051282051282051282051282051282051282051282051282051282051282051282051282051282051282051282051282051282051282051282051282051282051282051282051282051282051282051282051282051282051282051282051282051<247>
prime factors 素因数
90449481105387516308227385094610406163262607594053<50>
14174224842235365613258631675872907734384503958604793245799997791478330988416126583788673232672371390162347347010792519248353205405294556913433493794220983089598311438261889463743131473413242518567<197>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 1282051282051282051282051282051282051282051282051282051282051282051282051282051282051282051282051282051282051282051282051282051282051282051282051282051282051282051282051282051282051282051282051282051282051282051282051282051282051282051282051282051 (247 digits)
[Tue Oct 15 13:22:27 2013]
Using MODMULN
Using B1=260000000, B2=3178559884516, polynomial Dickson(30), sigma=2932926451
dF=262144, k=4, d=2852850, d2=17, i0=75
Expected number of curves to find a factor of n digits:
35   40      45      50      55      60      65      70      75      80
23      82      335     1521    7650    42057   250476  1603736 1.1e+007        7.9e+007
Step 1 took 3411383ms
Using 29 small primes for NTT
Estimated memory usage: 1524M
Initializing tables of differences for F took 843ms
Computing roots of F took 73772ms
Building F from its roots took 47331ms
Computing 1/F took 19983ms
Initializing table of differences for G took 1934ms
Computing roots of G took 61730ms
Building G from its roots took 43790ms
Computing roots of G took 63961ms
Building G from its roots took 45489ms
Computing G * H took 9610ms
Reducing  G * H mod F took 8986ms
Computing roots of G took 61511ms
Building G from its roots took 42869ms
Computing G * H took 10437ms
Reducing  G * H mod F took 10077ms
Computing roots of G took 62993ms
Building G from its roots took 45147ms
Computing G * H took 9563ms
Reducing  G * H mod F took 10686ms
Computing polyeval(F,G) took 95707ms
Computing product of all F(g_i) took 312ms
Step 2 took 728462ms
********** Factor found in step 2: 90449481105387516308227385094610406163262607594053
Found probable prime factor of 50 digits: 90449481105387516308227385094610406163262607594053
Probable prime cofactor 14174224842235365613258631675872907734384503958604793245799997791478330988416126583788673232672371390162347347010792519248353205405294556913433493794220983089598311438261889463743131473413242518567 has 197 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 4, 2013 11:00:00 UTC 2013 年 3 月 4 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 6, 2013 08:04:33 UTC 2013 年 3 月 6 日 (水) 17 時 4 分 33 秒 (日本時間)
403e61000Dmitry DomanovMarch 6, 2013 15:42:25 UTC 2013 年 3 月 7 日 (木) 0 時 42 分 25 秒 (日本時間)
4511e61200Dmitry DomanovMarch 6, 2013 15:57:24 UTC 2013 年 3 月 7 日 (木) 0 時 57 分 24 秒 (日本時間)
5043e6860500Dmitry DomanovMarch 7, 2013 14:37:30 UTC 2013 年 3 月 7 日 (木) 23 時 37 分 30 秒 (日本時間)
360Dmitry DomanovMarch 19, 2013 14:16:24 UTC 2013 年 3 月 19 日 (火) 23 時 16 分 24 秒 (日本時間)
5511e72655 / 17378yoyo@homeSeptember 21, 2013 08:20:15 UTC 2013 年 9 月 21 日 (土) 17 時 20 分 15 秒 (日本時間)

5×10248-113

c223

composite cofactor 合成数の残り
4776727710811575869340640345895726208024780420947457890779917361142707350037932634833431720819577753591980506322113512460992721402691022594703543657797777194861205873148637759775352809541022594286810871710313591071095423591<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 4, 2013 11:00:00 UTC 2013 年 3 月 4 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 6, 2013 08:04:42 UTC 2013 年 3 月 6 日 (水) 17 時 4 分 42 秒 (日本時間)
403e61000Dmitry DomanovMarch 6, 2013 15:42:36 UTC 2013 年 3 月 7 日 (木) 0 時 42 分 36 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovMarch 13, 2013 14:12:06 UTC 2013 年 3 月 13 日 (水) 23 時 12 分 6 秒 (日本時間)

5×10249-113

c210

composite cofactor 合成数の残り
661046599495844943240030436940720041850050507725850811625838191207348633245798781927311190402111037196893080935795820925053087906957834584558370691085125088614968822435233776832545555095144685633843171124783269<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 4, 2013 11:00:00 UTC 2013 年 3 月 4 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 6, 2013 08:04:49 UTC 2013 年 3 月 6 日 (水) 17 時 4 分 49 秒 (日本時間)
403e61000Dmitry DomanovMarch 6, 2013 15:42:45 UTC 2013 年 3 月 7 日 (木) 0 時 42 分 45 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovMarch 13, 2013 14:12:20 UTC 2013 年 3 月 13 日 (水) 23 時 12 分 20 秒 (日本時間)

5×10250-113

c194

composite cofactor 合成数の残り
43386820245380860593111698534091094069824652465020167239294770298223130582795050114585775651621822213902897000036242956799903234673799163078216173096398596578571436417621703241173016311651225121<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 4, 2013 11:00:00 UTC 2013 年 3 月 4 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 6, 2013 08:04:55 UTC 2013 年 3 月 6 日 (水) 17 時 4 分 55 秒 (日本時間)
403e61000Dmitry DomanovMarch 6, 2013 15:42:55 UTC 2013 年 3 月 7 日 (木) 0 時 42 分 55 秒 (日本時間)
4511e6600Dmitry DomanovMarch 7, 2013 12:32:39 UTC 2013 年 3 月 7 日 (木) 21 時 32 分 39 秒 (日本時間)
5043e61024 / 7370Dmitry DomanovMarch 22, 2013 05:55:09 UTC 2013 年 3 月 22 日 (金) 14 時 55 分 9 秒 (日本時間)
5511e71 / 17357Dmitry DomanovMarch 22, 2013 05:55:09 UTC 2013 年 3 月 22 日 (金) 14 時 55 分 9 秒 (日本時間)

5×10251-113

c248

composite cofactor 合成数の残り
11120749093658948866795667356153110473521496407998042748159516024999443962545317052556660216632192344476323925179600097862592024198750027801872734147372166989168390382776183803741019995106870398790062498609906363292631391650541580480861190809812949<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62536600Dmitry DomanovDecember 13, 2015 17:04:11 UTC 2015 年 12 月 14 日 (月) 2 時 4 分 11 秒 (日本時間)
1936Ignacio SantosDecember 18, 2015 15:48:05 UTC 2015 年 12 月 19 日 (土) 0 時 48 分 5 秒 (日本時間)

5×10252-113

c208

composite cofactor 合成数の残り
1233164789554371431990366361954073579209446805275154841999657186567915670174648515259803414059040367480958429538464552877036122875338877559322925064609607384614398064423997437637002521251445245950695014216387<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)

5×10253-113

c227

composite cofactor 合成数の残り
17474961361846209604345639279451910595676784053543864919953636353227597826802104911536082693999672896284899088096833554905829565311926031822016305243466888266065098652880494506877486697497406943115167843824407670793724524621329<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)

5×10255-113

c200

composite cofactor 合成数の残り
44327214220229169730402175187505989272914330058282373480614879792562216625044275342095454736902655336182564943242456570388505340002170032073799311384893413335014807535605719647256071285903128933165921<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 24, 2017 08:49:19 UTC 2017 年 1 月 24 日 (火) 17 時 49 分 19 秒 (日本時間)
4511e6320 / 4218Dmitry DomanovJanuary 24, 2017 11:54:58 UTC 2017 年 1 月 24 日 (火) 20 時 54 分 58 秒 (日本時間)

5×10256-113

c143

name 名前Erik Branger
date 日付October 22, 2017 20:04:10 UTC 2017 年 10 月 23 日 (月) 5 時 4 分 10 秒 (日本時間)
composite number 合成数
37098862854539817840552397625375781910718425218254572730570048824652933679044932803282265222488308340674246280009773837166569022612282256240969<143>
prime factors 素因数
3796562335326401174568089272293488797664879592453353285837542187<64>
9771698599372614789476865878524256490724460569879372865460700674691002765796187<79>
factorization results 素因数分解の結果
Number: 16663_253
N = 37098862854539817840552397625375781910718425218254572730570048824652933679044932803282265222488308340674246280009773837166569022612282256240969 (143 digits)
Divisors found:
r1=3796562335326401174568089272293488797664879592453353285837542187 (pp64)
r2=9771698599372614789476865878524256490724460569879372865460700674691002765796187 (pp79)
Version: Msieve v. 1.51 (SVN 845)
Total time: 448.96 hours.
Factorization parameters were as follows:
# Murphy_E = 1.499e-11, selected by Erik Branger
# expecting poly E from 1.43e-011 to > 1.65e-011
n: 37098862854539817840552397625375781910718425218254572730570048824652933679044932803282265222488308340674246280009773837166569022612282256240969
Y0: -7153835501032561944889558409
Y1: 484255720116349
c0: 2089107265066242563605380894528023472
c1: 1373026581727246410187486565504
c2: -1029101077548024868127176
c3: -113137449261115396
c4: 44450459517
c5: 1980
skew: 5012272.08
type: gnfs
# selected mechanically
rlim: 21000000
alim: 21000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23473027
Relations: 4459248 relations
Pruned matrix : 2743228 x 2743453
Polynomial selection time: 0.00 hours.
Total sieving time: 440.96 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 7.38 hours.
time per square root: 0.41 hours.
Prototype def-par.txt line would be: gnfs,142,5,65,2000,1e-05,0.28,250,20,50000,3600,21000000,21000000,28,28,56,56,2.6,2.6,100000
total time: 448.96 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS; Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovDecember 12, 2015 15:15:50 UTC 2015 年 12 月 13 日 (日) 0 時 15 分 50 秒 (日本時間)
4511e61400 / 2903600Dmitry DomanovDecember 12, 2015 17:45:13 UTC 2015 年 12 月 13 日 (日) 2 時 45 分 13 秒 (日本時間)
800Dmitry DomanovFebruary 29, 2016 22:14:36 UTC 2016 年 3 月 1 日 (火) 7 時 14 分 36 秒 (日本時間)
5043e6400 / 7211Ignacio SantosFebruary 5, 2017 15:16:09 UTC 2017 年 2 月 6 日 (月) 0 時 16 分 9 秒 (日本時間)

5×10258-113

c248

composite cofactor 合成数の残り
18648844454740348634184449035614674928769658557292642104441348116103851485665789445645407878718792149865195095940724878161620053436277384742527888280419920780373475674743766971177367210286352059651514330472479268323910203089294574081506297307916121<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)

5×10259-113

c257

composite cofactor 合成数の残り
98619329388560157790927021696252465483234714003944773175542406311637080867850098619329388560157790927021696252465483234714003944773175542406311637080867850098619329388560157790927021696252465483234714003944773175542406311637080867850098619329388560157790927<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovDecember 13, 2015 17:03:02 UTC 2015 年 12 月 14 日 (月) 2 時 3 分 2 秒 (日本時間)
4511e6800 / 4306Dmitry DomanovFebruary 5, 2016 14:30:25 UTC 2016 年 2 月 5 日 (金) 23 時 30 分 25 秒 (日本時間)

5×10260-113

c234

composite cofactor 合成数の残り
379989138170460211389104577476173005969731069430612376447364398456029197633981873561812710651020250464417646943854583125616994828573065264075769389050035908573149223530608652964573759122979135782658672220268024131073939823198587792479<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)

5×10261-113

c248

composite cofactor 合成数の残り
62022884911709585492722826956202232821958134816598744228149057050075997524189296200254817320595628660135150326774409989419924801537913475840217765054178672097939821311586594735957632860276771481808056708341713757841414455464207573235784440260964077<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)

5×10262-113

c144

composite cofactor 合成数の残り
200814383508215698619317153992438221530415850995515974247660708442974003861635268779556719742636060769880293102518726361182097745171666505803949<144>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovDecember 12, 2015 15:16:32 UTC 2015 年 12 月 13 日 (日) 0 時 16 分 32 秒 (日本時間)
4511e61400 / 2961600Dmitry DomanovDecember 12, 2015 17:45:00 UTC 2015 年 12 月 13 日 (日) 2 時 45 分 0 秒 (日本時間)
800Dmitry DomanovFebruary 29, 2016 23:18:49 UTC 2016 年 3 月 1 日 (火) 8 時 18 分 49 秒 (日本時間)
5043e60 / 6712--
5511e70 / 17444--
6026e7100 / 41994Dylan DelgadoAugust 21, 2018 00:33:16 UTC 2018 年 8 月 21 日 (火) 9 時 33 分 16 秒 (日本時間)

5×10264-113

c265

name 名前Dmitry Domanov
date 日付December 13, 2015 20:15:47 UTC 2015 年 12 月 14 日 (月) 5 時 15 分 47 秒 (日本時間)
composite number 合成数
1666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663<265>
prime factors 素因数
78309159639932446749570000993521734679<38>
composite cofactor 合成数の残り
21283163736273551633231213502904168256540305475317992687301838509078725359770393339916589817326755654105223606054637094735545232634257903598244100451515040173865219037549216068719738150369211300825429181730110507267072428173297<227>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=50863981
Step 1 took 35587ms
Step 2 took 11420ms
********** Factor found in step 2: 78309159639932446749570000993521734679
Found probable prime factor of 38 digits: 78309159639932446749570000993521734679

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovDecember 13, 2015 17:00:53 UTC 2015 年 12 月 14 日 (月) 2 時 0 分 53 秒 (日本時間)

5×10266-113

c209

composite cofactor 合成数の残り
58841350985578921736878675112974607506180267856584952644974502587259121316408658381451195253125965771165823803737423640149361584400275157794254345050626057576679911144375984170552350750879559786493986452272811<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)

5×10267-113

c262

composite cofactor 合成数の残り
1958013149233104989839869768629418207720915770581948920136168066450267053413423903189564259837743366349351055701949672013217371962583151923415056886156024669399269817736387990487188915765882717361976716090834579608702820204659366410441065958022547696221308743821<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovDecember 13, 2015 17:00:19 UTC 2015 年 12 月 14 日 (月) 2 時 0 分 19 秒 (日本時間)
4511e6800 / 4306Dmitry DomanovJanuary 23, 2016 15:50:55 UTC 2016 年 1 月 24 日 (日) 0 時 50 分 55 秒 (日本時間)

5×10268-113

c201

composite cofactor 合成数の残り
122576037247536500156457154460933490169399101544911074814737648071350734625631281144989340173960483132258244669806107889339234509128580991325677259668531871192944868623212387301809453909277228809215889<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)

5×10269-113

c236

composite cofactor 合成数の残り
12341656231688750360260259982789206845961913229005818183572832315251554461111152716647152606944768029809418008272602573340201452421924192403175656628246997563479341824279298942786631095275516678518720293696102960581241620887401358221047<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)

5×10270-113

c232

composite cofactor 合成数の残り
2995536448382254203987150859780593062421907840183100516613857336615238902868243368150358791475183503774471112985640015039321434130923969872558319460086705960299746633888263647987954229425108239365613409544409707883782742348552093203<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)

5×10271-113

c254

composite cofactor 合成数の残り
85550281647899954198549896928251129064246786254494898718898930058797545280864283509625598999938902764295223676204124585094507895720888444590002333086403307288999002542382858883896042514332370624665321719517112696004569598709824671866425667969476053815487<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)

5×10272-113

c273

name 名前Dmitry Domanov
date 日付February 8, 2016 06:21:44 UTC 2016 年 2 月 8 日 (月) 15 時 21 分 44 秒 (日本時間)
composite number 合成数
166666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663<273>
prime factors 素因数
354509666612282672630248515122530517656661<42>
470132925455444203818493046187525116700459184454656883240652154262813619499045891013434754048751776177894635653287262064500461183889503278928586548974417474720220359088872566235916398872805683615526970721215843585666751816130735883<231>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3822024922
Step 1 took 638881ms
Step 2 took 144891ms
********** Factor found in step 2: 354509666612282672630248515122530517656661
Found probable prime factor of 42 digits: 354509666612282672630248515122530517656661

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)
403e621041200Dmitry DomanovDecember 13, 2015 16:59:26 UTC 2015 年 12 月 14 日 (月) 1 時 59 分 26 秒 (日本時間)
904Serge BatalovDecember 18, 2015 20:34:58 UTC 2015 年 12 月 19 日 (土) 5 時 34 分 58 秒 (日本時間)
4511e61700 / 2711Serge BatalovDecember 18, 2015 23:04:10 UTC 2015 年 12 月 19 日 (土) 8 時 4 分 10 秒 (日本時間)
5043e6360 / 7087Dmitry DomanovFebruary 7, 2016 12:51:23 UTC 2016 年 2 月 7 日 (日) 21 時 51 分 23 秒 (日本時間)

5×10273-113

c246

composite cofactor 合成数の残り
576173147185411224613090826911322329276045106475551219983554019984068034034262953072761346502198812874224260601241517511934193377387064745370778160103693598099147265690263941633457313076219038593987940416994885086747954082105473880676739930154983<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)

5×10274-113

c194

name 名前Dmitry Domanov
date 日付January 25, 2017 07:10:12 UTC 2017 年 1 月 25 日 (水) 16 時 10 分 12 秒 (日本時間)
composite number 合成数
10076250357594053559645954984717591890726483375381654858334269845698652389015586005525610282118661590231613839144265508583552001985998999486861554274050499581290841100760489409464711679588748707<194>
prime factors 素因数
36075837498620029996202516052659758691<38>
composite cofactor 合成数の残り
279307454968425597031237288184032926248316021238487839017777661601616626586494484647556760689548781321555135277794152727949295430633440967232299252653424577<156>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2118594041
Step 1 took 88530ms
Step 2 took 26957ms
********** Factor found in step 2: 36075837498620029996202516052659758691
Found probable prime factor of 38 digits: 36075837498620029996202516052659758691

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 24, 2017 08:50:26 UTC 2017 年 1 月 24 日 (火) 17 時 50 分 26 秒 (日本時間)
4511e64230330Dmitry DomanovJanuary 24, 2017 12:02:21 UTC 2017 年 1 月 24 日 (火) 21 時 2 分 21 秒 (日本時間)
3900Lionel DebrouxJanuary 3, 2018 15:39:47 UTC 2018 年 1 月 4 日 (木) 0 時 39 分 47 秒 (日本時間)

5×10275-113

c219

composite cofactor 合成数の残り
218274171311827195760491346924940346438144360492567724464970602789326542474548229882233689771091135198020940829586824925713285142157548259818729400699320712574206903826504473162759090686288617928567709558272982615528199<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)

5×10276-113

c215

composite cofactor 合成数の残り
51782233940907467930343467113424531767294555204930249652656143168956816560683459686308874270761126990508535389386633067200074366105908219132134876550404050233234734196171871351735831661600611310385533147829745737711<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)

5×10278-113

c227

composite cofactor 合成数の残り
13507667921552354189105385847678611251976115696811476266700420178201230284839966854947381451396171081638915443670290004073016198002164819623061729515873518847422662613630806257058264504492359867957683912646403486534058053054799<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)

5×10279-113

c242

composite cofactor 合成数の残り
32841560324233446760117377305007166548283126933105308644317855144521906346903587168841250736182145614836176409187749458690527396661280659897511354522457781414900625944112272764110757327601668672892843826799472392497614451542175268554392459541<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)

5×10280-113

c275

composite cofactor 合成数の残り
19170022379084125342807925193971871442762722281201991075204381193594605402342346694455531107387014763601035027848291510095508885497072929282937644901406657902132434949404559934883267982727043035550039701116347083223584955213076715745757961597844369323516748273451934427788251<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovDecember 13, 2015 16:58:06 UTC 2015 年 12 月 14 日 (月) 1 時 58 分 6 秒 (日本時間)
4511e6800 / 4306Dmitry DomanovJanuary 23, 2016 11:32:54 UTC 2016 年 1 月 23 日 (土) 20 時 32 分 54 秒 (日本時間)

5×10282-113

c262

composite cofactor 合成数の残り
6732783367007161607033243549884804732076389560904755319294249922803159342105675550403439418557867570218891536026728805096394345538650675123476346145592817875644649620124092275205669362116259081933159902405063498147194406519148942989941763518192782117390520050827<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)

5×10283-113

c254

composite cofactor 合成数の残り
13803248116191638733064110006259190553579142096774840990215090019699854553184963783749855145322375103913050626748060473692570841192714641783212814178983774837768989646477455949211906766353847735021720866547268112142916883747332231435184608952869823361973<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)

5×10285-113

c272

composite cofactor 合成数の残り
34005297706629586943613354594713852497887885971775579743400516829926921321420525870286449578930528780673793338191776291036892999556146690710529751172937183702240697484086589740364981406853994895690810971059118015289124796694313874764129530024390502214093392969130568130569<272>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)

5×10286-113

c202

composite cofactor 合成数の残り
3254960222964781993381641730700292671721515302629083554308190272719696471377605348346200854297687148867493824199397017467090739695559166613657442002909280861391857007657340424696351731049946000719673593<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)

5×10287-113

c278

composite cofactor 合成数の残り
32840097809289547050573999094485927542596943248385477296127079890986252320556925529605283775642722649290694008066839392747233305813797698537584816520440242941267752808199767780430432956445389221305893489581647866625924374345879889351682428236471330528833774313417886156490793599<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)

5×10288-113

c266

composite cofactor 合成数の残り
83829881063318339029272573503870996953172945605916300492920922555706422776792271316935934425892908206861194248128595629481218927653822345760242937379106585191619871402546489737025262097858145528538319031460231629874125598743928141328891425524224152563313122384958651<266>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)

5×10290-113

c255

composite cofactor 合成数の残り
285517477206570969127640389336616803508200702792610956459379264527740548377295226662716244086119280943127511402260864743982550966178412147443263968696990640268903357521875806423080852219328068935568074195474785966867124068344253857098527385409984455109277<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)

5×10291-113

c254

composite cofactor 合成数の残り
69924918039308776485032111237458890830475992606697533053645386581801512398617241414826309294119753498147378713972044060495332501639482466079449041285246741208479842254680090685845216619748682357451687111459666594330698951152051319930187872410316910659597<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)

5×10294-113

c263

composite cofactor 合成数の残り
45279178115560702148407831783068480719380208854426001914633278176695155391523724905961792669889601108684165604845720731449333964429731731088733265125929482331537023976403112471585420406397127964434885393910038867527249963609998625639574876061931337052359009010091<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)

5×10295-113

c253

composite cofactor 合成数の残り
5120018025650818209387286923391708364688588318459729016532261234727360060539119737402147771981207689157028670609283031312138703237704067725482757681349363035288679222682347736383644355119169666917988870350282361432058789557104514957071722622438147166423<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)

5×10296-113

c258

composite cofactor 合成数の残り
120179484138620332101576814030147162908212507719958881337525221395901101645863139561927482556873866528885917732286382239295219685936793900377124636608717309218174601675049716815371613929045074101566791738348153841070015594508049138892420743816718182321539307<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)

5×10298-113

c247

composite cofactor 合成数の残り
1563667981360786219530132116233898619460006909109404896641540959340765584275295251301305506035249101532079175969276014296924628116679631284352659451646748628741729555577730175959533276172711155698950813748423842547579961971065840158162390752693203<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaDecember 12, 2015 04:00:00 UTC 2015 年 12 月 12 日 (土) 13 時 0 分 0 秒 (日本時間)