Table of contents 目次

23×10101-113

c91

name 名前Serge Batalov
date 日付December 16, 2009 06:52:52 UTC 2009 年 12 月 16 日 (水) 15 時 52 分 52 秒 (日本時間)
composite number 合成数
4466188838047882679105645836099257794848851734404077705552959099165042916804289190642626759<91>
prime factors 素因数
117490606566065595674608813209924208099<39>
38013156698927423089936634558266123507013784775835341<53>
factorization results 素因数分解の結果
SNFS difficulty: 102 digits.
Divisors found:
 r1=117490606566065595674608813209924208099 (pp39)
 r2=38013156698927423089936634558266123507013784775835341 (pp53)
Version: Msieve v. 1.44 SVN157
Total time: 0.25 hours.
Scaled time: 0.59 units (timescale=2.400).
Factorization parameters were as follows:
n: 4466188838047882679105645836099257794848851734404077705552959099165042916804289190642626759
m: 10000000000000000000000000
deg: 4
c4: 230
c0: -11
skew: 0.47
type: snfs
lss: 1
rlim: 360000
alim: 360000
lpbr: 25
lpba: 25
mfbr: 43
mfba: 43
rlambda: 2.2
alambda: 2.2
Factor base limits: 360000/360000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [225000, 305001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 31084 x 31313
Total sieving time: 0.23 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,102.000,4,0,0,0,0,0,0,0,0,360000,360000,25,25,43,43,2.2,2.2,10000
total time: 0.25 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 16, 2009 03:00:00 UTC 2009 年 12 月 16 日 (水) 12 時 0 分 0 秒 (日本時間)

23×10102-113

c96

name 名前Sinkiti Sibata
date 日付December 16, 2009 12:29:29 UTC 2009 年 12 月 16 日 (水) 21 時 29 分 29 秒 (日本時間)
composite number 合成数
314647034223925347337151041561713070332463306923092508102263733559846365240553608597229510975169<96>
prime factors 素因数
245245101836602285803147368918044021<36>
1282990085704394596547225527931058487571930541873060963231389<61>
factorization results 素因数分解の結果
Number: 76663_102
N=314647034223925347337151041561713070332463306923092508102263733559846365240553608597229510975169
  ( 96 digits)
SNFS difficulty: 103 digits.
Divisors found:
 r1=245245101836602285803147368918044021 (pp36)
 r2=1282990085704394596547225527931058487571930541873060963231389 (pp61)
Version: Msieve v. 1.42
Total time: 0.02 hours.
Scaled time: 0.01 units (timescale=0.796).
Factorization parameters were as follows:
name: 76663_102
n: 314647034223925347337151041561713070332463306923092508102263733559846365240553608597229510975169
m: 10000000000000000000000000
deg: 4
c4: 2300
c0: -11
skew: 0.26
type: snfs
lss: 1
rlim: 370000
alim: 370000
lpbr: 25
lpba: 25
mfbr: 43
mfba: 43
rlambda: 2.2
alambda: 2.2
Factor base limits: 370000/370000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [185000, 235001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 29754 x 29979
Total sieving time: 0.00 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,103.000,4,0,0,0,0,0,0,0,0,370000,370000,25,25,43,43,2.2,2.2,10000
total time: 0.02 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.33 BogoMIPS (lpj=1860666)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860571)
Total of 2 processors activated (7442.47 BogoMIPS).

Total time: 17 min.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 16, 2009 03:00:00 UTC 2009 年 12 月 16 日 (水) 12 時 0 分 0 秒 (日本時間)

23×10104-113

c101

name 名前Sinkiti Sibata
date 日付December 16, 2009 12:33:52 UTC 2009 年 12 月 16 日 (水) 21 時 33 分 52 秒 (日本時間)
composite number 合成数
20323586847988406719154538787123682280483171186455654817131900078643444759607312956728432698000335781<101>
prime factors 素因数
10594311962989340631950058167917525981867419492781<50>
1918348913925488028058767174886260061337183152503001<52>
factorization results 素因数分解の結果
Number: 76663_104
N=20323586847988406719154538787123682280483171186455654817131900078643444759607312956728432698000335781
  ( 101 digits)
SNFS difficulty: 105 digits.
Divisors found:
 r1=10594311962989340631950058167917525981867419492781 (pp50)
 r2=1918348913925488028058767174886260061337183152503001 (pp52)
Version: Msieve v. 1.42
Total time: 0.02 hours.
Scaled time: 0.01 units (timescale=0.793).
Factorization parameters were as follows:
name: 76663_104
n: 20323586847988406719154538787123682280483171186455654817131900078643444759607312956728432698000335781
m: 100000000000000000000000000
deg: 4
c4: 23
c0: -11
skew: 0.83
type: snfs
lss: 1
rlim: 400000
alim: 400000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 400000/400000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [200000, 240001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 39072 x 39301
Total sieving time: 0.00 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,105.000,4,0,0,0,0,0,0,0,0,400000,400000,25,25,44,44,2.2,2.2,20000
total time: 0.02 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.33 BogoMIPS (lpj=1860666)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860571)
Total of 2 processors activated (7442.47 BogoMIPS).

Total time: 13 min.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 16, 2009 03:00:00 UTC 2009 年 12 月 16 日 (水) 12 時 0 分 0 秒 (日本時間)

23×10108-113

c101

name 名前Serge Batalov
date 日付December 16, 2009 05:27:39 UTC 2009 年 12 月 16 日 (水) 14 時 27 分 39 秒 (日本時間)
composite number 合成数
38491372944480564135184961832950343335766774666262935676465872353004555321778480900245200588945452073<101>
prime factors 素因数
3490683832872464247555442771201<31>
11026886073725625310081747759869262788979540725428702635385850485874473<71>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=1966405737
Step 1 took 4600ms
Step 2 took 2760ms
********** Factor found in step 2: 3490683832872464247555442771201
Found probable prime factor of 31 digits: 3490683832872464247555442771201
Probable prime cofactor has 71 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 16, 2009 03:00:00 UTC 2009 年 12 月 16 日 (水) 12 時 0 分 0 秒 (日本時間)

23×10109-113

c103

name 名前Serge Batalov
date 日付December 16, 2009 05:21:11 UTC 2009 年 12 月 16 日 (水) 14 時 21 分 11 秒 (日本時間)
composite number 合成数
1144806875534889236375935842912268436864615074192768425195051075533864883093392015934676403836478792261<103>
prime factors 素因数
395005637395866571582641984926624812093<39>
2898203891676581815541170847707467709328545235576051915248772777<64>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=3105122533
Step 1 took 4672ms
Step 2 took 2761ms
********** Factor found in step 2: 395005637395866571582641984926624812093
Found probable prime factor of 39 digits: 395005637395866571582641984926624812093
Probable prime cofactor has 64 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 16, 2009 03:00:00 UTC 2009 年 12 月 16 日 (水) 12 時 0 分 0 秒 (日本時間)

23×10111-113

c91

name 名前Robert Backstrom
date 日付December 16, 2009 09:49:20 UTC 2009 年 12 月 16 日 (水) 18 時 49 分 20 秒 (日本時間)
composite number 合成数
2583530121617918870290587730447033099093456835689377352764840295500870921278374451066758259<91>
prime factors 素因数
114020995310251665818999261240617858936247<42>
22658371947974329014450969228515292119437447560997<50>
factorization results 素因数分解の結果
Wed Dec 16 18:42:30 2009  
Wed Dec 16 18:42:30 2009  
Wed Dec 16 18:42:30 2009  Msieve v. 1.43
Wed Dec 16 18:42:30 2009  random seeds: b9219cc0 d0de1132
Wed Dec 16 18:42:30 2009  factoring 2583530121617918870290587730447033099093456835689377352764840295500870921278374451066758259 (91 digits)
Wed Dec 16 18:42:30 2009  searching for 15-digit factors
Wed Dec 16 18:42:31 2009  commencing quadratic sieve (91-digit input)
Wed Dec 16 18:42:31 2009  using multiplier of 59
Wed Dec 16 18:42:31 2009  using 64kb Opteron sieve core
Wed Dec 16 18:42:31 2009  sieve interval: 18 blocks of size 65536
Wed Dec 16 18:42:31 2009  processing polynomials in batches of 6
Wed Dec 16 18:42:31 2009  using a sieve bound of 1678553 (63529 primes)
Wed Dec 16 18:42:31 2009  using large prime bound of 154426876 (27 bits)
Wed Dec 16 18:42:31 2009  using double large prime bound of 549162818684260 (42-49 bits)
Wed Dec 16 18:42:31 2009  using trial factoring cutoff of 49 bits
Wed Dec 16 18:42:31 2009  polynomial 'A' values have 12 factors
Wed Dec 16 19:47:58 2009  64234 relations (17173 full + 47061 combined from 718510 partial), need 63625
Wed Dec 16 19:47:59 2009  begin with 735683 relations
Wed Dec 16 19:47:59 2009  reduce to 156774 relations in 9 passes
Wed Dec 16 19:47:59 2009  attempting to read 156774 relations
Wed Dec 16 19:48:00 2009  recovered 156774 relations
Wed Dec 16 19:48:00 2009  recovered 135082 polynomials
Wed Dec 16 19:48:00 2009  attempting to build 64234 cycles
Wed Dec 16 19:48:00 2009  found 64234 cycles in 5 passes
Wed Dec 16 19:48:01 2009  distribution of cycle lengths:
Wed Dec 16 19:48:01 2009     length 1 : 17173
Wed Dec 16 19:48:01 2009     length 2 : 12267
Wed Dec 16 19:48:01 2009     length 3 : 11466
Wed Dec 16 19:48:01 2009     length 4 : 8568
Wed Dec 16 19:48:01 2009     length 5 : 5959
Wed Dec 16 19:48:01 2009     length 6 : 3853
Wed Dec 16 19:48:01 2009     length 7 : 2264
Wed Dec 16 19:48:01 2009     length 9+: 2684
Wed Dec 16 19:48:01 2009  largest cycle: 18 relations
Wed Dec 16 19:48:01 2009  matrix is 63529 x 64234 (15.4 MB) with weight 3780171 (58.85/col)
Wed Dec 16 19:48:01 2009  sparse part has weight 3780171 (58.85/col)
Wed Dec 16 19:48:02 2009  filtering completed in 3 passes
Wed Dec 16 19:48:02 2009  matrix is 59295 x 59359 (14.2 MB) with weight 3484662 (58.70/col)
Wed Dec 16 19:48:02 2009  sparse part has weight 3484662 (58.70/col)
Wed Dec 16 19:48:02 2009  saving the first 48 matrix rows for later
Wed Dec 16 19:48:02 2009  matrix is 59247 x 59359 (8.2 MB) with weight 2616342 (44.08/col)
Wed Dec 16 19:48:02 2009  sparse part has weight 1796079 (30.26/col)
Wed Dec 16 19:48:02 2009  matrix includes 64 packed rows
Wed Dec 16 19:48:02 2009  using block size 23743 for processor cache size 1024 kB
Wed Dec 16 19:48:02 2009  commencing Lanczos iteration
Wed Dec 16 19:48:02 2009  memory use: 8.9 MB
Wed Dec 16 19:48:20 2009  lanczos halted after 939 iterations (dim = 59244)
Wed Dec 16 19:48:20 2009  recovered 16 nontrivial dependencies
Wed Dec 16 19:48:21 2009  prp42 factor: 114020995310251665818999261240617858936247
Wed Dec 16 19:48:21 2009  prp50 factor: 22658371947974329014450969228515292119437447560997
Wed Dec 16 19:48:21 2009  elapsed time 01:05:51

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 16, 2009 03:00:00 UTC 2009 年 12 月 16 日 (水) 12 時 0 分 0 秒 (日本時間)

23×10113-113

c92

name 名前Sinkiti Sibata
date 日付December 16, 2009 07:53:52 UTC 2009 年 12 月 16 日 (水) 16 時 53 分 52 秒 (日本時間)
composite number 合成数
52519934197964169378187398269922763301280269896278975894836658825836486587279754057397024379<92>
prime factors 素因数
11411606196574225655815607303001588809<38>
4602326201348474538346286072127148267220249089588845731<55>
factorization results 素因数分解の結果
Number: 76663_113
N=52519934197964169378187398269922763301280269896278975894836658825836486587279754057397024379
  ( 92 digits)
SNFS difficulty: 114 digits.
Divisors found:
 r1=11411606196574225655815607303001588809 (pp38)
 r2=4602326201348474538346286072127148267220249089588845731 (pp55)
Version: Msieve-1.40
Total time: 1.57 hours.
Scaled time: 3.23 units (timescale=2.051).
Factorization parameters were as follows:
name: 76663_113
n: 52519934197964169378187398269922763301280269896278975894836658825836486587279754057397024379
m: 10000000000000000000000
deg: 5
c5: 23000
c0: -11
skew: 0.22
type: snfs
lss: 1
rlim: 560000
alim: 560000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 560000/560000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [280000, 530001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 68760 x 68985
Total sieving time: 1.49 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,114.000,5,0,0,0,0,0,0,0,0,560000,560000,25,25,45,45,2.2,2.2,50000
total time: 1.57 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 16, 2009 03:00:00 UTC 2009 年 12 月 16 日 (水) 12 時 0 分 0 秒 (日本時間)

23×10114-113

c93

name 名前Sinkiti Sibata
date 日付December 16, 2009 09:10:34 UTC 2009 年 12 月 16 日 (水) 18 時 10 分 34 秒 (日本時間)
composite number 合成数
374567579938244331406279693518468187924635006153465102723180322997238243405496028525121163777<93>
prime factors 素因数
3059870380737586822512005449734369637<37>
122412891178728360371674809568046004111359888829192602221<57>
factorization results 素因数分解の結果
Number: 76663_114
N=374567579938244331406279693518468187924635006153465102723180322997238243405496028525121163777
  ( 93 digits)
SNFS difficulty: 115 digits.
Divisors found:
 r1=3059870380737586822512005449734369637 (pp37)
 r2=122412891178728360371674809568046004111359888829192602221 (pp57)
Version: Msieve-1.40
Total time: 1.06 hours.
Scaled time: 2.17 units (timescale=2.045).
Factorization parameters were as follows:
name: 76663_114
n: 374567579938244331406279693518468187924635006153465102723180322997238243405496028525121163777
m: 10000000000000000000000
deg: 5
c5: 230000
c0: -11
skew: 0.14
type: snfs
lss: 1
rlim: 590000
alim: 590000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 590000/590000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [295000, 445001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 58900 x 59126
Total sieving time: 1.00 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,115.000,5,0,0,0,0,0,0,0,0,590000,590000,25,25,45,45,2.2,2.2,50000
total time: 1.06 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 16, 2009 03:00:00 UTC 2009 年 12 月 16 日 (水) 12 時 0 分 0 秒 (日本時間)

23×10120-113

c113

name 名前Sinkiti Sibata
date 日付December 16, 2009 08:14:15 UTC 2009 年 12 月 16 日 (水) 17 時 14 分 15 秒 (日本時間)
composite number 合成数
20105633266348618800994983033463626316231562973668231677796065657826655924279261934685768126702001408007987538011<113>
prime factors 素因数
25522691488157552788809468757639086299259225092491527019<56>
787755212873123836676281249152475749953193949007977372369<57>
factorization results 素因数分解の結果
Number: 76663_120
N=20105633266348618800994983033463626316231562973668231677796065657826655924279261934685768126702001408007987538011
  ( 113 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=25522691488157552788809468757639086299259225092491527019 (pp56)
 r2=787755212873123836676281249152475749953193949007977372369 (pp57)
Version: Msieve-1.40
Total time: 1.16 hours.
Scaled time: 3.88 units (timescale=3.357).
Factorization parameters were as follows:
name: 76663_120
n: 20105633266348618800994983033463626316231562973668231677796065657826655924279261934685768126702001408007987538011
m: 1000000000000000000000000
deg: 5
c5: 23
c0: -11
skew: 0.86
type: snfs
lss: 1
rlim: 740000
alim: 740000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 740000/740000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [370000, 620001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 82925 x 83157
Total sieving time: 1.13 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,121.000,5,0,0,0,0,0,0,0,0,740000,740000,25,25,46,46,2.2,2.2,50000
total time: 1.16 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 16, 2009 03:00:00 UTC 2009 年 12 月 16 日 (水) 12 時 0 分 0 秒 (日本時間)

23×10126-113

c103

name 名前Sinkiti Sibata
date 日付December 16, 2009 10:21:39 UTC 2009 年 12 月 16 日 (水) 19 時 21 分 39 秒 (日本時間)
composite number 合成数
2528790774449520292669339776762899096930856296816157041815109917097158021385913870850834746574719859793<103>
prime factors 素因数
13413698726583970462081322925539<32>
188523003684124076180996738433766325149793904672787761086552059533456187<72>
factorization results 素因数分解の結果
Number: 76663_126
N=2528790774449520292669339776762899096930856296816157041815109917097158021385913870850834746574719859793
  ( 103 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=13413698726583970462081322925539 (pp32)
 r2=188523003684124076180996738433766325149793904672787761086552059533456187 (pp72)
Version: Msieve-1.40
Total time: 1.66 hours.
Scaled time: 5.53 units (timescale=3.339).
Factorization parameters were as follows:
name: 76663_126
n: 2528790774449520292669339776762899096930856296816157041815109917097158021385913870850834746574719859793
m: 10000000000000000000000000
deg: 5
c5: 230
c0: -11
skew: 0.54
type: snfs
lss: 1
rlim: 930000
alim: 930000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 930000/930000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [465000, 765001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 120459 x 120690
Total sieving time: 1.59 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,127.000,5,0,0,0,0,0,0,0,0,930000,930000,26,26,46,46,2.3,2.3,50000
total time: 1.66 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 16, 2009 03:00:00 UTC 2009 年 12 月 16 日 (水) 12 時 0 分 0 秒 (日本時間)

23×10145-113

c111

name 名前Robert Backstrom
date 日付December 16, 2009 22:08:58 UTC 2009 年 12 月 17 日 (木) 7 時 8 分 58 秒 (日本時間)
composite number 合成数
345609796619143374458216318336570804191938122766182957592489445289969179338203424935277656426699958813310686929<111>
prime factors 素因数
845283140698843865336212986554806013518603912649<48>
408868673677092400223227385697963975271696927286475015890283721<63>
factorization results 素因数分解の結果
Number: n
N=345609796619143374458216318336570804191938122766182957592489445289969179338203424935277656426699958813310686929
  ( 111 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=845283140698843865336212986554806013518603912649 (pp48)
 r2=408868673677092400223227385697963975271696927286475015890283721 (pp63)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 8.21 hours.
Scaled time: 14.97 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_7_6_144_3
n: 345609796619143374458216318336570804191938122766182957592489445289969179338203424935277656426699958813310686929
m: 100000000000000000000000000000
deg: 5
c5: 23
c0: -11
skew: 0.86
type: snfs
lss: 1
rlim: 1930000
alim: 1930000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
qintsize: 50000
Factor base limits: 1930000/1930000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [965000, 2265001)
Primes: RFBsize:144125, AFBsize:143033, largePrimes:3989739 encountered
Relations: rels:3985007, finalFF:336507
Max relations in full relation-set: 48
Initial matrix: 287225 x 336507 with sparse part having weight 43143938.
Pruned matrix : 272402 x 273902 with weight 29441363.
Total sieving time: 7.15 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.86 hours.
Total square root time: 0.13 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1930000,1930000,26,26,49,49,2.3,2.3,100000
total time: 8.21 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 16, 2009 03:00:00 UTC 2009 年 12 月 16 日 (水) 12 時 0 分 0 秒 (日本時間)

23×10148-113

c124

name 名前Dmitry Domanov
date 日付December 17, 2009 00:05:57 UTC 2009 年 12 月 17 日 (木) 9 時 5 分 57 秒 (日本時間)
composite number 合成数
1503107700776231921657131924014173176654439989939501657160233819006711595971027654175356316074967623086933826733503030833821<124>
prime factors 素因数
127187830640740361371221967602054087623<39>
11818015082134451599966379985993827454800138229230558833671370815526360219428259516027<86>
factorization results 素因数分解の結果
N=1503107700776231921657131924014173176654439989939501657160233819006711595971027654175356316074967623086933826733503030833821
  ( 124 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=127187830640740361371221967602054087623 (pp39)
 r2=11818015082134451599966379985993827454800138229230558833671370815526360219428259516027 (pp86)
Version: Msieve-1.40
Total time: 12.94 hours.
Scaled time: 25.18 units (timescale=1.946).
Factorization parameters were as follows:
n: 1503107700776231921657131924014173176654439989939501657160233819006711595971027654175356316074967623086933826733503030833821
m: 100000000000000000000000000000
deg: 5
c5: 23000
c0: -11
skew: 0.22
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1100000, 3500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 440688 x 440913
Total sieving time: 12.55 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.24 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,149.000,5,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000
total time: 12.94 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 16, 2009 03:00:00 UTC 2009 年 12 月 16 日 (水) 12 時 0 分 0 秒 (日本時間)

23×10150-113

c143

name 名前Dmitry Domanov
date 日付December 16, 2009 21:08:08 UTC 2009 年 12 月 17 日 (木) 6 時 8 分 8 秒 (日本時間)
composite number 合成数
44742885195034304652153743813549596473742407300168222159879171955251379934289392690015188828330301604066088673017825843645727010012790454056421<143>
prime factors 素因数
20730300332205578545577304811001844751211485934910034956055592189129<68>
2158332705171856636744098266679217747556662312757756507611949426597067237949<76>
factorization results 素因数分解の結果
N=44742885195034304652153743813549596473742407300168222159879171955251379934289392690015188828330301604066088673017825843645727010012790454056421
  ( 143 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=20730300332205578545577304811001844751211485934910034956055592189129 (pp68)
 r2=2158332705171856636744098266679217747556662312757756507611949426597067237949 (pp76)
Version: Msieve-1.40
Total time: 11.42 hours.
Scaled time: 22.03 units (timescale=1.928).
Factorization parameters were as follows:
n: 44742885195034304652153743813549596473742407300168222159879171955251379934289392690015188828330301604066088673017825843645727010012790454056421
m: 1000000000000000000000000000000
deg: 5
c5: 23
c0: -11
skew: 0.86
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1150000, 1850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 458174 x 458422
Total sieving time: 11.07 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.26 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,151.000,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 11.42 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 16, 2009 03:00:00 UTC 2009 年 12 月 16 日 (水) 12 時 0 分 0 秒 (日本時間)

23×10152-113

c143

name 名前Sinkiti Sibata
date 日付January 28, 2010 04:51:37 UTC 2010 年 1 月 28 日 (木) 13 時 51 分 37 秒 (日本時間)
composite number 合成数
31911720999623958509463356851688558041575887426891356989332579498898264974632024152200229101207361342837836124416539345278753701670959527318819<143>
prime factors 素因数
9867920331573351031509133439113631<34>
132560286325887261247764905282131424019953503364243<51>
24395580587513828255112347688589478778628638567491141770543<59>
factorization results 素因数分解の結果
Number: 76663_152
N=31911720999623958509463356851688558041575887426891356989332579498898264974632024152200229101207361342837836124416539345278753701670959527318819
  ( 143 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=9867920331573351031509133439113631 (pp34)
 r2=132560286325887261247764905282131424019953503364243 (pp51)
 r3=24395580587513828255112347688589478778628638567491141770543 (pp59)
Version: Msieve-1.40
Total time: 21.16 hours.
Scaled time: 46.20 units (timescale=2.183).
Factorization parameters were as follows:
name: 76663_152
n: 31911720999623958509463356851688558041575887426891356989332579498898264974632024152200229101207361342837836124416539345278753701670959527318819
m: 1000000000000000000000000000000
deg: 5
c5: 2300
c0: -11
skew: 0.34
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1250000, 2150001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 435266 x 435514
Total sieving time: 20.53 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.42 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,153.000,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 21.16 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10153-113

c116

name 名前Erik Branger
date 日付January 28, 2010 09:08:22 UTC 2010 年 1 月 28 日 (木) 18 時 8 分 22 秒 (日本時間)
composite number 合成数
12123831782190122856982388800576320859149350493604243894965598602667691756689157506424099767936942973105608997857831<116>
prime factors 素因数
1157949692799504630846920241973480377439<40>
10470085062917605028231740569455294598749029376240715214114275662334109103929<77>
factorization results 素因数分解の結果
Number: 76663_153
N = 12123831782190122856982388800576320859149350493604243894965598602667691756689157506424099767936942973105608997857831 (116 digits)
SNFS difficulty: 155 digits.
Divisors found:
r1=1157949692799504630846920241973480377439 (pp40)
r2=10470085062917605028231740569455294598749029376240715214114275662334109103929 (pp77)
Version: Msieve v. 1.43
Total time: 16.85 hours.
Factorization parameters were as follows:
n: 12123831782190122856982388800576320859149350493604243894965598602667691756689157506424099767936942973105608997857831
m: 1000000000000000000000000000000
deg: 5
c5: 23000
c0: -11
skew: 0.22
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [1300000, 2600000)
Relations: 8438929
Relations in full relation-set: 846070 relations
Pruned matrix : 502172 x 502398
Polynomial selection time: 0.00 hours.
Total sieving time: 15.81 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.68 hours.
time per square root: 0.24 hours.
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10160-113

c138

name 名前Sinkiti Sibata
date 日付January 29, 2010 23:16:51 UTC 2010 年 1 月 30 日 (土) 8 時 16 分 51 秒 (日本時間)
composite number 合成数
107963408646914289827110541250671898634079457712685864346526186440249228738184861978908882056543644645046875859769175801160886348041080187<138>
prime factors 素因数
4705629728090449866010675806207285431889239<43>
12094369110228249195017509433154257370539567<44>
1897036198984949035095819968260744331030218494426899<52>
factorization results 素因数分解の結果
Number: 76663_160
N=107963408646914289827110541250671898634079457712685864346526186440249228738184861978908882056543644645046875859769175801160886348041080187
  ( 138 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=4705629728090449866010675806207285431889239 (pp43)
 r2=12094369110228249195017509433154257370539567 (pp44)
 r3=1897036198984949035095819968260744331030218494426899 (pp52)
Version: Msieve-1.40
Total time: 36.20 hours.
Scaled time: 79.20 units (timescale=2.188).
Factorization parameters were as follows:
name: 76663_160
n: 107963408646914289827110541250671898634079457712685864346526186440249228738184861978908882056543644645046875859769175801160886348041080187
m: 100000000000000000000000000000000
deg: 5
c5: 23
c0: -11
skew: 0.86
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 3200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 609791 x 610038
Total sieving time: 34.87 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.94 hours.
Time per square root: 0.28 hours.
Prototype def-par.txt line would be:
snfs,161.000,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 36.20 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10162-113

c156

name 名前Sinkiti Sibata
date 日付February 1, 2010 08:02:09 UTC 2010 年 2 月 1 日 (月) 17 時 2 分 9 秒 (日本時間)
composite number 合成数
111094416357441396475747965739274146855622039445502264546167934077655296505756499674225284415834186695432198988338501228223640807755522458757852268065204327<156>
prime factors 素因数
1252766093806185884306227661789978410221703351531006174199<58>
88679296882877400081877017050637548135989010555749015549527548435590845233477036756851315218752273<98>
factorization results 素因数分解の結果
Number: 76663_162
N=111094416357441396475747965739274146855622039445502264546167934077655296505756499674225284415834186695432198988338501228223640807755522458757852268065204327
  ( 156 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=1252766093806185884306227661789978410221703351531006174199 (pp58)
 r2=88679296882877400081877017050637548135989010555749015549527548435590845233477036756851315218752273 (pp98)
Version: Msieve-1.40
Total time: 44.19 hours.
Scaled time: 106.50 units (timescale=2.410).
Factorization parameters were as follows:
name: 76663_162
n: 111094416357441396475747965739274146855622039445502264546167934077655296505756499674225284415834186695432198988338501228223640807755522458757852268065204327
m: 100000000000000000000000000000000
deg: 5
c5: 2300
c0: -11
skew: 0.34
type: snfs
lss: 1
rlim: 3700000
alim: 3700000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3700000/3700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1850000, 3850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 699969 x 700217
Total sieving time: 42.06 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 1.12 hours.
Time per square root: 0.89 hours.
Prototype def-par.txt line would be:
snfs,163.000,5,0,0,0,0,0,0,0,0,3700000,3700000,27,27,51,51,2.4,2.4,100000
total time: 44.19 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10163-113

c123

name 名前Sinkiti Sibata
date 日付February 1, 2010 09:58:22 UTC 2010 年 2 月 1 日 (月) 18 時 58 分 22 秒 (日本時間)
composite number 合成数
140979911516690174140186071608909145130320382572317927410453148236261224410144115341188474973194338922050468939649633603277<123>
prime factors 素因数
9782151358492308831001321593186743<34>
14411953603058841783811508311607284777968838946097773030545499378975006576779836586122139<89>
factorization results 素因数分解の結果
Number: 76663_163
N=140979911516690174140186071608909145130320382572317927410453148236261224410144115341188474973194338922050468939649633603277
  ( 123 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=9782151358492308831001321593186743 (pp34)
 r2=14411953603058841783811508311607284777968838946097773030545499378975006576779836586122139 (pp89)
Version: Msieve-1.40
Total time: 57.02 hours.
Scaled time: 149.69 units (timescale=2.625).
Factorization parameters were as follows:
name: 76663_163
n: 140979911516690174140186071608909145130320382572317927410453148236261224410144115341188474973194338922050468939649633603277
m: 100000000000000000000000000000000
deg: 5
c5: 23000
c0: -11
skew: 0.22
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1900000, 4600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 811269 x 811517
Total sieving time: 55.29 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.41 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,164.000,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 57.02 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10166-113

c89

name 名前Robert Backstrom
date 日付January 27, 2010 14:39:46 UTC 2010 年 1 月 27 日 (水) 23 時 39 分 46 秒 (日本時間)
composite number 合成数
79560002870821459556507536217238029324426851560246834398230660775173385008531290724966331<89>
prime factors 素因数
1450660510180042268539239748982429<34>
54843984731442937072662936384967875991170491936203920439<56>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 79560002870821459556507536217238029324426851560246834398230660775173385008531290724966331 (89 digits)
Using B1=1738000, B2=2140281790, polynomial Dickson(6), sigma=3520028370
Step 1 took 10797ms
Step 2 took 4828ms
********** Factor found in step 2: 1450660510180042268539239748982429
Found probable prime factor of 34 digits: 1450660510180042268539239748982429
Probable prime cofactor 54843984731442937072662936384967875991170491936203920439 has 56 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10168-113

c126

name 名前Jo Yeong Uk
date 日付February 11, 2010 02:05:21 UTC 2010 年 2 月 11 日 (木) 11 時 5 分 21 秒 (日本時間)
composite number 合成数
360172493375095269979013520487018128796431027648921988045713060460243062835275885505673583172648093522145717742189772108337777<126>
prime factors 素因数
261264937909307712351049623582197927140640676310012942183<57>
1378571867535172692534289148545616685405250727048552023308536546646119<70>
factorization results 素因数分解の結果
Number: 76663_168
N=360172493375095269979013520487018128796431027648921988045713060460243062835275885505673583172648093522145717742189772108337777
  ( 126 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=261264937909307712351049623582197927140640676310012942183
 r2=1378571867535172692534289148545616685405250727048552023308536546646119
Version: 
Total time: 51.08 hours.
Scaled time: 121.94 units (timescale=2.387).
Factorization parameters were as follows:
n: 360172493375095269979013520487018128796431027648921988045713060460243062835275885505673583172648093522145717742189772108337777
m: 10000000000000000000000000000000000
deg: 5
c5: 23
c0: -1100
skew: 2.17
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [3000000, 6900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 11597743
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1058834 x 1059082
Total sieving time: 45.57 hours.
Total relation processing time: 2.22 hours.
Matrix solve time: 2.55 hours.
Time per square root: 0.75 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,52,52,2.4,2.4,100000
total time: 51.08 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046640k/8912896k available (2550k kernel code, 339524k reserved, 1291k data, 208k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5345.59 BogoMIPS (lpj=2672798)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672376)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672340)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)
786Jo Yeong UkFebruary 8, 2010 22:51:33 UTC 2010 年 2 月 9 日 (火) 7 時 51 分 33 秒 (日本時間)

23×10169-113

c120

name 名前Erik Branger
date 日付February 2, 2010 06:00:04 UTC 2010 年 2 月 2 日 (火) 15 時 0 分 4 秒 (日本時間)
composite number 合成数
156967949217484492614992478786654813941102457385781900349460996455076936703541915018988331501781838652595488902281950887<120>
prime factors 素因数
48138499473216283465720587631073629195483722769<47>
3260757001884109076574421603048726339673068383896126570104067996830848823<73>
factorization results 素因数分解の結果
Number: 76663_169
N = 156967949217484492614992478786654813941102457385781900349460996455076936703541915018988331501781838652595488902281950887 (120 digits)
Divisors found:
r1=48138499473216283465720587631073629195483722769 (pp47)
r2=3260757001884109076574421603048726339673068383896126570104067996830848823 (pp73)
Version: Msieve v. 1.43
Total time: 30.30 hours.
Factorization parameters were as follows:
n: 156967949217484492614992478786654813941102457385781900349460996455076936703541915018988331501781838652595488902281950887
Y0: -114488720400276814740663
Y1: 5583557508287
c0: -400091140126805264106952756576
c1: 18296905409307231181750148
c2: 87634470798844917540
c3: -892178817094211
c4: -2039861456
c5: 7980
skew: 207256.71 
type: gnfs
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [2100000, 3700000)
Relations: 10105497
Relations in full relation-set: 1255914 relations
Pruned matrix : 707744 x 707970
Polynomial selection time: 4.25 hours.
Total sieving time: 24.00 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 1.36 hours.
time per square root: 0.50 hours.
Prototype def-par.txt line would be: gnfs,119,5,63,2000,2.6e-05,0.28,250,20,50000,3600,4200000,4200000,27,27,53,53,2.5,2.5,100000
total time: 30.30 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)
786Max DettweilerJanuary 30, 2010 03:55:48 UTC 2010 年 1 月 30 日 (土) 12 時 55 分 48 秒 (日本時間)
403e6100 / 2104Erik BrangerJanuary 30, 2010 12:07:02 UTC 2010 年 1 月 30 日 (土) 21 時 7 分 2 秒 (日本時間)

23×10171-113

c146

name 名前Markus Tervooren
date 日付February 13, 2010 11:19:42 UTC 2010 年 2 月 13 日 (土) 20 時 19 分 42 秒 (日本時間)
composite number 合成数
17376488281373116481130738669803710931945361199941990588432336921151319557540243096173447800131863389335263467173699976745549872884520017973001127<146>
prime factors 素因数
131423238500690285493950416598784924743609<42>
132217775787665196429184970720415085607021590989727234083919538255200000542519674982479989860730864516703<105>
factorization results 素因数分解の結果
sieving took ~44hours

Msieve v. 1.44
Sat Feb 13 11:30:14 2010
random seeds: 6231cb6e 7f4f02fb
factoring 17376488281373116481130738669803710931945361199941990588432336921151319557540243096173447800131863389335263467173699976745549872884520017973001127 (146 digits)
searching for 15-digit factors
commencing number field sieve (146-digit input)
R0: -10000000000000000000000000000000000
R1:  1
A0: -11
A1:  0
A2:  0
A3:  0
A4:  0
A5:  230
skew 0.54, size 4.618859e-12, alpha 0.729544, combined = 2.082451e-10

commencing relation filtering
estimated available RAM is 8010.2 MB
commencing duplicate removal, pass 1
found 3801358 hash collisions in 30930904 relations
added 721604 free relations
commencing duplicate removal, pass 2
found 2736955 duplicates and 28915553 unique relations
memory use: 165.2 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 856.1 MB
keeping 29857686 ideals with weight <= 200, target excess is 175072
commencing in-memory singleton removal
begin with 28915553 relations and 29857686 unique ideals
reduce to 11642074 relations and 9334791 ideals in 13 passes
max relations containing the same ideal: 110
removing 2104422 relations and 1704422 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 9537652 relations and 9334791 unique ideals
reduce to 9335793 relations and 7420508 ideals in 8 passes
max relations containing the same ideal: 96
removing 1568678 relations and 1168678 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 7767115 relations and 7420508 unique ideals
reduce to 7617374 relations and 6096057 ideals in 7 passes
max relations containing the same ideal: 86
removing 1393170 relations and 993170 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 6224204 relations and 6096057 unique ideals
reduce to 6071618 relations and 4943189 ideals in 7 passes
max relations containing the same ideal: 73
removing 1314264 relations and 914264 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 4757354 relations and 4943189 unique ideals
reduce to 4592475 relations and 3854439 ideals in 7 passes
max relations containing the same ideal: 58
removing 1229057 relations and 829057 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 3363418 relations and 3854439 unique ideals
reduce to 3151117 relations and 2796169 ideals in 9 passes
max relations containing the same ideal: 47
removing 587981 relations and 436117 ideals in 151864 cliques
commencing in-memory singleton removal
begin with 2563136 relations and 2796169 unique ideals
reduce to 2492239 relations and 2286232 ideals in 7 passes
max relations containing the same ideal: 39
relations with 0 large ideals: 4325
relations with 1 large ideals: 16202
relations with 2 large ideals: 102531
relations with 3 large ideals: 339318
relations with 4 large ideals: 636442
relations with 5 large ideals: 704154
relations with 6 large ideals: 477802
relations with 7+ large ideals: 211465
commencing 2-way merge
reduce to 1600278 relation sets and 1394271 unique ideals
commencing full merge
memory use: 159.7 MB
found 810250 cycles, need 780471
weight of 780471 cycles is about 54656297 (70.03/cycle)
distribution of cycle lengths:
1 relations: 76481
2 relations: 80823
3 relations: 86992
4 relations: 86298
5 relations: 81761
6 relations: 73931
7 relations: 64141
8 relations: 54238
9 relations: 45150
10+ relations: 130656
heaviest cycle: 18 relations
commencing cycle optimization
start with 4538581 relations
pruned 136483 relations
memory use: 145.2 MB
distribution of cycle lengths:
1 relations: 76481
2 relations: 82644
3 relations: 90323
4 relations: 89099
5 relations: 84784
6 relations: 76334
7 relations: 65994
8 relations: 54587
9 relations: 44733
10+ relations: 115492
heaviest cycle: 18 relations
RelProcTime: 612

commencing linear algebra
read 780471 cycles
cycles contain 2356465 unique relations
read 2356465 relations
using 20 quadratic characters above 536856488
building initial matrix
memory use: 298.8 MB
read 780471 cycles
matrix is 780285 x 780471 (232.2 MB) with weight 69463800 (89.00/col)
sparse part has weight 52294577 (67.00/col)
filtering completed in 2 passes
matrix is 779283 x 779469 (232.1 MB) with weight 69421042 (89.06/col)
sparse part has weight 52273381 (67.06/col)
read 779469 cycles
matrix is 779283 x 779469 (232.1 MB) with weight 69421042 (89.06/col)
sparse part has weight 52273381 (67.06/col)
saving the first 48 matrix rows for later
matrix is 779235 x 779469 (220.4 MB) with weight 54755741 (70.25/col)
sparse part has weight 49969065 (64.11/col)
matrix includes 64 packed rows
using block size 65536 for processor cache size 4096 kB
commencing Lanczos iteration (4 threads)
memory use: 232.7 MB
linear algebra at 0.2%, ETA 0h34m779469 dimensions (0.2%, ETA 0h34m)
linear algebra completed 778913 of 779469 dimensions (99.9%, ETA 0h 0m)
lanczos halted after 12325 iterations (dim = 779234)
recovered 37 nontrivial dependencies
BLanczosTime: 2190

commencing square root phase
reading relations for dependency 1
read 388672 cycles
cycles contain 1174528 unique relations
read 1174528 relations
multiplying 1174528 relations
multiply complete, coefficients have about 34.41 million bits
initial square root is modulo 87421
sqrtTime: 145
prp42 factor: 131423238500690285493950416598784924743609
prp105 factor: 132217775787665196429184970720415085607021590989727234083919538255200000542519674982479989860730864516703
elapsed time 00:49:08
execution environment 実行環境
Q6700, Linux 64bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10172-113

c128

name 名前Max Dettweiler
date 日付February 5, 2010 23:05:43 UTC 2010 年 2 月 6 日 (土) 8 時 5 分 43 秒 (日本時間)
composite number 合成数
37010280187606994619986775353442304642637241832026762849152235305146173485346464969248080013917644624815750499319982510007155889<128>
prime factors 素因数
75736847593971897082435421180453599<35>
488669404171936304370293977679510766175699513191630985809627359912700513728258863224296153711<93>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.1_MPIR_1.1.1] [ECM]
Input number is 37010280187606994619986775353442304642637241832026762849152235305146173485346464969248080013917644624815750499319982510007155889 (128 digits)
Run 491 out of 786:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3718863335
Step 1 took 11984ms
********** Factor found in step 1: 75736847593971897082435421180453599
Found probable prime factor of 35 digits: 75736847593971897082435421180453599
Probable prime cofactor 488669404171936304370293977679510766175699513191630985809627359912700513728258863224296153711 has 93 digits
software ソフトウェア
GMP-ECM 6.2.3
execution environment 実行環境
Core 2 Duo 2.2Ghz, Windows XP 32-bit, Cygwin

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10173-113

c116

name 名前Sinkiti Sibata
date 日付January 31, 2010 12:25:58 UTC 2010 年 1 月 31 日 (日) 21 時 25 分 58 秒 (日本時間)
composite number 合成数
20941552236845175936491105809132028759563202166980121362060584076695649761754015671106286991354767032367521714676227<116>
prime factors 素因数
2974394806623445832002669960600247954085524021<46>
7040609467920022083631164121210862850091250442994623878097317630118487<70>
factorization results 素因数分解の結果
Number: 76663_173
N=20941552236845175936491105809132028759563202166980121362060584076695649761754015671106286991354767032367521714676227
  ( 116 digits)
Divisors found:
 r1=2974394806623445832002669960600247954085524021 (pp46)
 r2=7040609467920022083631164121210862850091250442994623878097317630118487 (pp70)
Version: Msieve v. 1.42
Total time: 4.72 hours.
Scaled time: 3.75 units (timescale=0.796).
Factorization parameters were as follows:
name: 76663_173
n: 20941552236845175936491105809132028759563202166980121362060584076695649761754015671106286991354767032367521714676227
skew: 28494.87
# norm 4.10e+15
c5: 37680
c4: 8281874254
c3: -90830933741863
c2: -5627844678150371295
c1: 35191515101382845423563
c0: 662651334119683459024323773
# alpha -5.26
Y1: 1119347437699
Y0: -14092176653212748866500
# Murphy_E 4.80e-10
# M 7126289628493547151003228126794310011527564005427918552074941218220378569874298918271424066468534112075037725645294
type: gnfs
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [1700000, 3000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 584800 x 585026
Polynomial selection time: 3.16 hours.
Total sieving time: 0.00 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.08 hours.
Time per square root: 0.37 hours.
Prototype def-par.txt line would be:
gnfs,115,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3400000,3400000,27,27,53,53,2.5,2.5,100000
total time: 4.72 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.24 BogoMIPS (lpj=1860624)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860570)
Total of 2 processors activated (7442.38 BogoMIPS).

Tota time: 31 hours 15 min.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10174-113

c173

name 名前Wataru Sakai
date 日付February 6, 2010 04:17:10 UTC 2010 年 2 月 6 日 (土) 13 時 17 分 10 秒 (日本時間)
composite number 合成数
26166097838452787258248009101251422070534698521046643913538111490329920364050056882821387940841865756541524459613196814562002275312855517633674630261660978384527872582480091<173>
prime factors 素因数
221055718596333927852921215827025097761<39>
118368789573068008297095750116453780334568469316268638972946942086748686517035402090442780118000939299805667208761659092248319140529531<135>
factorization results 素因数分解の結果
Number: 76663_174
N=26166097838452787258248009101251422070534698521046643913538111490329920364050056882821387940841865756541524459613196814562002275312855517633674630261660978384527872582480091
  ( 173 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=221055718596333927852921215827025097761
 r2=118368789573068008297095750116453780334568469316268638972946942086748686517035402090442780118000939299805667208761659092248319140529531
Version: 
Total time: 121.04 hours.
Scaled time: 243.90 units (timescale=2.015).
Factorization parameters were as follows:
n: 26166097838452787258248009101251422070534698521046643913538111490329920364050056882821387940841865756541524459613196814562002275312855517633674630261660978384527872582480091
m: 10000000000000000000000000000000000
deg: 5
c5: 230000
c0: -11
skew: 0.14
type: snfs
lss: 1
rlim: 5900000
alim: 5900000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5Factor base limits: 5900000/5900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [2950000, 6550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 893156 x 893404
Total sieving time: 121.04 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,5900000,5900000,28,28,52,52,2.5,2.5,100000
total time: 121.04 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10175-113

c115

name 名前Erik Branger
date 日付January 30, 2010 11:58:54 UTC 2010 年 1 月 30 日 (土) 20 時 58 分 54 秒 (日本時間)
composite number 合成数
2082886879552884892004969728628265463582621489999510384590784763675681206303277724733973454861764038881643038787363<115>
prime factors 素因数
5804490398049592589318143846839043246019382907116762547<55>
358840610754179260676100752197992592051933633674613846200529<60>
factorization results 素因数分解の結果
Number: 76663_175
N = 2082886879552884892004969728628265463582621489999510384590784763675681206303277724733973454861764038881643038787363 (115 digits)
Divisors found:
r1=5804490398049592589318143846839043246019382907116762547 (pp55)
r2=358840610754179260676100752197992592051933633674613846200529 (pp60)
Version: Msieve v. 1.43
Total time: 19.71 hours.
Factorization parameters were as follows:
n: 2082886879552884892004969728628265463582621489999510384590784763675681206303277724733973454861764038881643038787363
Y0: -12516643369979646308093
Y1: 2142721799141
c0: 6471267952220890397826195520
c1: 395828217043898949678884
c2: 2739344624711597288
c3: -166442264682694
c4: -310123163
c5: 6780
skew: 87374.49  
type: gnfs
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [1750000, 2950000)
Relations: 7979362
Relations in full relation-set: 788578 relations
Pruned matrix : 467673 x 467902
Polynomial selection time: 1.89 hours.
Total sieving time: 16.86 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.67 hours.
time per square root: 0.17 hours.
Prototype def-par.txt line would be: gnfs,114,5,61,2000,0.00016,0.25,250,15,50000,2800,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 19.71 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10176-113

c144

name 名前Warut Roonguthai
date 日付February 12, 2012 12:04:14 UTC 2012 年 2 月 12 日 (日) 21 時 4 分 14 秒 (日本時間)
composite number 合成数
309883885768767393705617944168874491199014502903207756427962450294718334644451705272682364266628981334828457693911684446806864669943570880054377<144>
prime factors 素因数
26074906690872955464427731556137766249<38>
11884371800158218184648813049933859145519485971295576605772279827946868713137121382968758780784066643631873<107>
factorization results 素因数分解の結果
N = 309883885768767393705617944168874491199014502903207756427962450294718334644451705272682364266628981334828457693911684446806864669943570880054377 (144 digits)
SNFS difficulty: 178 digits.
Divisors found:
r1=26074906690872955464427731556137766249 (pp38)
r2=11884371800158218184648813049933859145519485971295576605772279827946868713137121382968758780784066643631873 (pp107)
Version: Msieve v. 1.48
Total time: 36.18 hours.
Factorization parameters were as follows:
name: (23*10^176-11)/3
n: 309883885768767393705617944168874491199014502903207756427962450294718334644451705272682364266628981334828457693911684446806864669943570880054377
Y0: 100000000000000000000000000000000000
Y1: -1
c0: -11
c1: 0
c2: 0
c3: 0
c4: 0
c5: 230
skew: 0.54
type: snfs
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 20816890
Relations: 2393502 relations
Pruned matrix : 1383984 x 1384209
Polynomial selection time: 0.00 hours.
Total sieving time: 33.44 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.44 hours.
time per square root: 0.19 hours.
Prototype def-par.txt line would be: snfs,178,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,55,55,2.5,2.5,100000
total time: 36.18 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)
786Max DettweilerFebruary 6, 2010 03:58:39 UTC 2010 年 2 月 6 日 (土) 12 時 58 分 39 秒 (日本時間)
403e62104Wataru SakaiOctober 6, 2011 13:58:06 UTC 2011 年 10 月 6 日 (木) 22 時 58 分 6 秒 (日本時間)

23×10177-113

c174

name 名前Sinkiti Sibata
date 日付February 8, 2010 11:57:01 UTC 2010 年 2 月 8 日 (月) 20 時 57 分 1 秒 (日本時間)
composite number 合成数
292542704875287772986861016776688162195850981289986136019638518970758448760509278691443761844799735439640808435405298838732654125488101143460398621233512674730669922794164409<174>
prime factors 素因数
571667232704790206496705486468962900457843775913854361251521606523021<69>
511736003288397767667453775337881994710128845162365441289806156693906703874543442237620333282194306980829<105>
factorization results 素因数分解の結果
Number: 76663_177
N=292542704875287772986861016776688162195850981289986136019638518970758448760509278691443761844799735439640808435405298838732654125488101143460398621233512674730669922794164409
  ( 174 digits)
SNFS difficulty: 178 digits.
Divisors found:
 r1=571667232704790206496705486468962900457843775913854361251521606523021 (pp69)
 r2=511736003288397767667453775337881994710128845162365441289806156693906703874543442237620333282194306980829 (pp105)
Version: Msieve-1.40
Total time: 143.46 hours.
Scaled time: 316.05 units (timescale=2.203).
Factorization parameters were as follows:
name: 76663_177
n: 292542704875287772986861016776688162195850981289986136019638518970758448760509278691443761844799735439640808435405298838732654125488101143460398621233512674730669922794164409
m: 100000000000000000000000000000000000
deg: 5
c5: 2300
c0: -11
skew: 0.34
type: snfs
lss: 1
rlim: 6600000
alim: 6600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6600000/6600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3300000, 8800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1405923 x 1406171
Total sieving time: 138.11 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 4.95 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,178.000,5,0,0,0,0,0,0,0,0,6600000,6600000,28,28,53,53,2.5,2.5,100000
total time: 143.46 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)
786Max DettweilerFebruary 2, 2010 17:36:10 UTC 2010 年 2 月 3 日 (水) 2 時 36 分 10 秒 (日本時間)

23×10180-113

c139

name 名前Ignacio Santos
date 日付October 25, 2010 15:33:49 UTC 2010 年 10 月 26 日 (火) 0 時 33 分 49 秒 (日本時間)
composite number 合成数
6338311273005250894841410623131166863990503319050934649314964916021135241947726317621961733364639987651743763705355859132301519904525365547<139>
prime factors 素因数
372922916979737086348218320144837039<36>
16996304019979671926672418908010639243822099001223808553075789605690416665259885449294977330453462850373<104>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=619430384
Step 1 took 19469ms
Step 2 took 10952ms
********** Factor found in step 2: 372922916979737086348218320144837039
Found probable prime factor of 36 digits: 372922916979737086348218320144837039
Probable prime cofactor 16996304019979671926672418908010639243822099001223808553075789605690416665259885449294977330453462850373 has 104 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 KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10181-113

c146

name 名前Ben Meekins
date 日付March 19, 2014 13:05:05 UTC 2014 年 3 月 19 日 (水) 22 時 5 分 5 秒 (日本時間)
composite number 合成数
98498743735518445342845982313512742315572127126785084816568706709315756807411374259638622214292303176668101654109645316884493745996838297876792139<146>
prime factors 素因数
247407449515546016775276697911771380997929<42>
398123597039583924188326068658385055456155542312861646136939176664914595570294950684233186736700700721491<105>
factorization results 素因数分解の結果
Number: 76663_181
N = 98498743735518445342845982313512742315572127126785084816568706709315756807411374259638622214292303176668101654109645316884493745996838297876792139 (146 digits)
SNFS difficulty: 183 digits.
Divisors found:
r1=247407449515546016775276697911771380997929 (pp42)
r2=398123597039583924188326068658385055456155542312861646136939176664914595570294950684233186736700700721491 (pp105)
Version: Msieve v. 1.52 (SVN 959M)
Total time: 9.81 hours.
Factorization parameters were as follows:
n: 98498743735518445342845982313512742315572127126785084816568706709315756807411374259638622214292303176668101654109645316884493745996838297876792139
m: 1000000000000000000000000000000000000
deg: 5
c5: 230
c0: -11
skew: 0.54
# Murphy_E = 8.278e-11
type: snfs
lss: 1
rlim: 7700000
alim: 7700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7700000/7700000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 19114721
Relations: 2601828 relations
Pruned matrix : 1557021 x 1557250
Polynomial selection time: 0.00 hours.
Total sieving time: 8.85 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.76 hours.
time per square root: 0.10 hours.
Prototype def-par.txt line would be: snfs,183,5,0,0,0,0,0,0,0,0,7700000,7700000,28,28,53,53,2.5,2.5,200000
total time: 9.81 hours.
Intel64 Family 6 Model 62 Stepping 4, GenuineIntel
Windows-7-6.1.7600
processors: 12, speed: 3.40GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 25, 2010 15:35:03 UTC 2010 年 10 月 26 日 (火) 0 時 35 分 3 秒 (日本時間)
403e61110110Ignacio SantosOctober 25, 2010 15:35:03 UTC 2010 年 10 月 26 日 (火) 0 時 35 分 3 秒 (日本時間)
1000Dmitry DomanovFebruary 20, 2012 06:59:35 UTC 2012 年 2 月 20 日 (月) 15 時 59 分 35 秒 (日本時間)
4511e61342 / 421632Ignacio SantosOctober 25, 2010 15:35:03 UTC 2010 年 10 月 26 日 (火) 0 時 35 分 3 秒 (日本時間)
230Ignacio SantosOctober 1, 2013 17:57:10 UTC 2013 年 10 月 2 日 (水) 2 時 57 分 10 秒 (日本時間)
230Ignacio SantosOctober 12, 2013 18:04:28 UTC 2013 年 10 月 13 日 (日) 3 時 4 分 28 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:05:58 UTC 2013 年 11 月 9 日 (土) 2 時 5 分 58 秒 (日本時間)

23×10183-113

c176

name 名前matsui
date 日付September 16, 2010 02:00:09 UTC 2010 年 9 月 16 日 (木) 11 時 0 分 9 秒 (日本時間)
composite number 合成数
11017897985580513794676300291278588215950633811791158113968505389386356643558546588473372802346894282412785585394819291721029154967161990977107054200035622205496701784812911309<176>
prime factors 素因数
79212190391962615730407758410221172392093<41>
12386327454246930011846730604981488721042501553924276052713<59>
11229596902679138191157194636918688132415589400312049476545015504256234157001<77>
factorization results 素因数分解の結果
N=11017897985580513794676300291278588215950633811791158113968505389386356643558546588473372802346894282412785585394819291721029154967161990977107054200035622205496701784812911309
  ( 176 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=79212190391962615730407758410221172392093 (pp41)
 r2=12386327454246930011846730604981488721042501553924276052713 (pp59)
 r3=11229596902679138191157194636918688132415589400312049476545015504256234157001 (pp77)
Version: Msieve v. 1.47
Total time:
Scaled time: 11.02 units (timescale=1.228).
Factorization parameters were as follows:
n: 11017897985580513794676300291278588215950633811791158113968505389386356643558546588473372802346894282412785585394819291721029154967161990977107054200035622205496701784812911309
m: 1000000000000000000000000000000000000
deg: 5
c5: 23000
c0: -11
skew: 0.22
type: snfs
lss: 1
rlim: 8300000
alim: 8300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
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: 54/54
Sieved rational special-q in [4150000, 15150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2044470 x 2044700
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,184.000,5,0,0,0,0,0,0,0,0,8300000,8300000,28,28,54,54,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10184-113

c177

name 名前Ignacio Santos
date 日付September 12, 2010 10:52:33 UTC 2010 年 9 月 12 日 (日) 19 時 52 分 33 秒 (日本時間)
composite number 合成数
603994643575919929995235086256829567672267590404519871540633480979298742733415942468554312218576081629865575030907653292021990478581169523179238517114473153631638987338483921291<177>
prime factors 素因数
63842948204817186219587908178914517605441018515187348285065241188143<68>
9460632075420763597081608963911699147560106256058321583512180161613805741699267212378546248852016640679720037<109>
factorization results 素因数分解の結果
Number: 1
N=603994643575919929995235086256829567672267590404519871540633480979298742733415942468554312218576081629865575030907653292021990478581169523179238517114473153631638987338483921291
  ( 177 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=63842948204817186219587908178914517605441018515187348285065241188143 (pp68)
 r2=9460632075420763597081608963911699147560106256058321583512180161613805741699267212378546248852016640679720037 (pp109)
Version: Msieve-1.40
Total time: 185.92 hours.
Scaled time: 323.32 units (timescale=1.739).
Factorization parameters were as follows:
n: 603994643575919929995235086256829567672267590404519871540633480979298742733415942468554312218576081629865575030907653292021990478581169523179238517114473153631638987338483921291
m: 1000000000000000000000000000000000000
deg: 5
c5: 230000
c0: -11
skew: 0.14
type: snfs
lss: 1
rlim: 8600000
alim: 8600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8600000/8600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4300000, 7200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1723123 x 1723348
Total sieving time: 179.09 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 4.58 hours.
Time per square root: 1.99 hours.
Prototype def-par.txt line would be:
snfs,185.000,5,0,0,0,0,0,0,0,0,8600000,8600000,28,28,54,54,2.5,2.5,100000
total time: 185.92 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 19, 2010 20:25:46 UTC 2010 年 6 月 20 日 (日) 5 時 25 分 46 秒 (日本時間)
403e62126110Ignacio SantosJune 19, 2010 20:25:46 UTC 2010 年 6 月 20 日 (日) 5 時 25 分 46 秒 (日本時間)
2016Wataru SakaiJune 27, 2010 01:10:44 UTC 2010 年 6 月 27 日 (日) 10 時 10 分 44 秒 (日本時間)
4511e632 / 3991Ignacio SantosJune 19, 2010 20:25:46 UTC 2010 年 6 月 20 日 (日) 5 時 25 分 46 秒 (日本時間)

23×10185-113

c183

name 名前Serge Batalov
date 日付January 27, 2010 13:00:58 UTC 2010 年 1 月 27 日 (水) 22 時 0 分 58 秒 (日本時間)
composite number 合成数
132940292468643431015548234206115253453557597826715218773481301658863649500028900063580139876307727877001329402924686434310155482342061152534535575978267152187734813016588636495000289<183>
prime factors 素因数
43974559751581488896529239<26>
composite cofactor 合成数の残り
3023118212431050048879527607517735906468600860889791009355688220319034447210263439416063388737606231322590005433209617578900686791188555052894126698861346951<157>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=673973749
Step 1 took 8317ms
Step 2 took 4320ms
********** Factor found in step 2: 43974559751581488896529239
Found probable prime factor of 26 digits: 43974559751581488896529239
Composite cofactor has 157 digits

c157

name 名前Jo Yeong Uk
date 日付October 24, 2014 11:51:30 UTC 2014 年 10 月 24 日 (金) 20 時 51 分 30 秒 (日本時間)
composite number 合成数
3023118212431050048879527607517735906468600860889791009355688220319034447210263439416063388737606231322590005433209617578900686791188555052894126698861346951<157>
prime factors 素因数
49138911585554439082244084522875168070238655361919658482927184788701<68>
61521879807361628893132170714786899965782837927575823934946900150194332673195340377283251<89>
factorization results 素因数分解の結果
Number: 76663_185
N=3023118212431050048879527607517735906468600860889791009355688220319034447210263439416063388737606231322590005433209617578900686791188555052894126698861346951
  ( 157 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=49138911585554439082244084522875168070238655361919658482927184788701
 r2=61521879807361628893132170714786899965782837927575823934946900150194332673195340377283251
Version: 
Total time: 78.70 hours.
Scaled time: 409.00 units (timescale=5.197).
Factorization parameters were as follows:
n: 3023118212431050048879527607517735906468600860889791009355688220319034447210263439416063388737606231322590005433209617578900686791188555052894126698861346951
m: 10000000000000000000000000000000000000
deg: 5
c5: 23
c0: -11
skew: 0.86
# Murphy_E = 6.165e-11
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 7700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20295786
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1787483 x 1787731
Total sieving time: 72.53 hours.
Total relation processing time: 1.84 hours.
Matrix solve time: 4.21 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 78.70 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.70 BogoMIPS (lpj=3399852)
Total of 12 processors activated (81596.44 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 25, 2010 15:35:36 UTC 2010 年 10 月 26 日 (火) 0 時 35 分 36 秒 (日本時間)
403e61410110Ignacio SantosOctober 25, 2010 15:35:36 UTC 2010 年 10 月 26 日 (火) 0 時 35 分 36 秒 (日本時間)
1000Dmitry DomanovFebruary 20, 2012 06:59:44 UTC 2012 年 2 月 20 日 (月) 15 時 59 分 44 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:22 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 22 秒 (日本時間)
4511e6562 / 414932Ignacio SantosOctober 25, 2010 15:35:36 UTC 2010 年 10 月 26 日 (火) 0 時 35 分 36 秒 (日本時間)
230Ignacio SantosFebruary 2, 2014 14:58:08 UTC 2014 年 2 月 2 日 (日) 23 時 58 分 8 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:46 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 46 秒 (日本時間)

23×10186-113

c174

name 名前Dmitry Domanov
date 日付February 17, 2012 07:23:19 UTC 2012 年 2 月 17 日 (金) 16 時 23 分 19 秒 (日本時間)
composite number 合成数
258306995523005709461243777830974365788479588540911484881425553503698368006093187197244744878357519455144970023482328054328463905745669775518958600451794100146583215010104127<174>
prime factors 素因数
6114892305947310808484142250046399483<37>
42242280419522309255912929342478602362703247206508124588592177318494471456374472292981546145324496368985121221675803464205707725620950669<137>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=413799097
Step 1 took 23588ms
Step 2 took 8812ms
********** Factor found in step 2: 6114892305947310808484142250046399483
Found probable prime factor of 37 digits: 6114892305947310808484142250046399483

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 26, 2010 10:59:54 UTC 2010 年 10 月 26 日 (火) 19 時 59 分 54 秒 (日本時間)
403e6110 / 2126Ignacio SantosOctober 26, 2010 10:59:54 UTC 2010 年 10 月 26 日 (火) 19 時 59 分 54 秒 (日本時間)
4511e632 / 4437Ignacio SantosOctober 26, 2010 10:59:54 UTC 2010 年 10 月 26 日 (火) 19 時 59 分 54 秒 (日本時間)

23×10192-113

c124

name 名前shyguy7129
date 日付February 22, 2010 21:57:52 UTC 2010 年 2 月 23 日 (火) 6 時 57 分 52 秒 (日本時間)
composite number 合成数
1051649231768062178302890721624266348450375955479645157958736699551013230434678425641524516830386168870175360612464669181091<124>
prime factors 素因数
63909601289615947564572398674480423814370006613879274999<56>
16455261972334264608568408272920135669497888285671743452966666793909<68>
factorization results 素因数分解の結果
Number: 76663_192
N = 1051649231768062178302890721624266348450375955479645157958736699551013230434678425641524516830386168870175360612464669181091 (124 digits)
Divisors found:
r1=63909601289615947564572398674480423814370006613879274999 (pp56)
r2=16455261972334264608568408272920135669497888285671743452966666793909 (pp68)
Version: Msieve v. 1.43
Total time: 48.59 hours.
Factorization parameters were as follows:
n: 1051649231768062178302890721624266348450375955479645157958736699551013230434678425641524516830386168870175360612464669181091
Y0: -634825133734443931213206
Y1: 18521016256951
c0: 586870664537979476638459239295
c1: 11935656406103345103499563
c2: -9070385657105450840
c3: -1283707165116795
c4: 139303993
c5: 10200
skew: 196878.89 
type: gnfs
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [2600000, 5300000)
Total raw relations: 10837221
Relations: 1578386 relations
Pruned matrix : 900857 x 901083
Polynomial selection time: 0.00 hours.
Total sieving time: 45.84 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 2.37 hours.
time per square root: 0.27 hours.
Prototype def-par.txt line would be: gnfs,123,5,65,2000,1e-05,0.28,250,20,50000,3600,5200000,5200000,27,27,53,53,2.5,2.5,100000
total time: 48.59 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS + Msieve v1.43

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)
786Max DettweilerJanuary 29, 2010 06:28:22 UTC 2010 年 1 月 29 日 (金) 15 時 28 分 22 秒 (日本時間)
403e62418100Erik BrangerJanuary 30, 2010 12:07:25 UTC 2010 年 1 月 30 日 (土) 21 時 7 分 25 秒 (日本時間)
2318Wataru SakaiFebruary 1, 2010 02:11:03 UTC 2010 年 2 月 1 日 (月) 11 時 11 分 3 秒 (日本時間)

23×10194-113

c155

name 名前Serge Batalov
date 日付January 27, 2010 12:16:39 UTC 2010 年 1 月 27 日 (水) 21 時 16 分 39 秒 (日本時間)
composite number 合成数
64282804538106280246156857072064551405969756306033820870852731026739661974573163103605375145565192123140930982534909125100627693074016212551950922525650367<155>
prime factors 素因数
2556343092176777607253650702981937586803<40>
25146391630619573072014193117731349167958595264681629767883533933576639496691303201419185647117506034743388511328389<116>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=1685169638
Step 1 took 7624ms
Step 2 took 3812ms
********** Factor found in step 2: 2556343092176777607253650702981937586803
Found probable prime factor of 40 digits: 2556343092176777607253650702981937586803
Probable prime cofactor has 116 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10195-113

c193

name 名前Robert Backstrom
date 日付February 26, 2010 04:12:51 UTC 2010 年 2 月 26 日 (金) 13 時 12 分 51 秒 (日本時間)
composite number 合成数
2725441403009835288541296362128214243393767034008768811470553383102263301339021211043962554805071690958644389145633368882569024765967531698068491527432160208555516056404787297073112928072046451<193>
prime factors 素因数
84035397138421704639848742741437713772711843058466950530262691499182499148871<77>
32432064294532144161858169374796778888528088254141103630691617606620615310449571253357760854394293748679505357124981<116>
factorization results 素因数分解の結果
Number: n
N=2725441403009835288541296362128214243393767034008768811470553383102263301339021211043962554805071690958644389145633368882569024765967531698068491527432160208555516056404787297073112928072046451
  ( 193 digits)
SNFS difficulty: 196 digits.
Divisors found:

Fri Feb 26 15:05:06 2010  prp77 factor: 84035397138421704639848742741437713772711843058466950530262691499182499148871
Fri Feb 26 15:05:06 2010  prp116 factor: 32432064294532144161858169374796778888528088254141103630691617606620615310449571253357760854394293748679505357124981
Fri Feb 26 15:05:06 2010  elapsed time 11:07:35 (Msieve 1.42 - dependency 3)

Version: 
Total time: 17.81 hours.
Scaled time: 15.00 units (timescale=0.842).
Factorization parameters were as follows:
name: KA_7_6_194_3
n: 2725441403009835288541296362128214243393767034008768811470553383102263301339021211043962554805071690958644389145633368882569024765967531698068491527432160208555516056404787297073112928072046451
m: 1000000000000000000000000000000000000000
deg: 5
c5: 23
c0: -11
skew: 0.86
type: snfs
lss: 1
rlim: 13100000
alim: 13100000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 13100000/13100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 11408389)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3293070 hash collisions in 26527448 relations
Msieve: matrix is 1997600 x 1997825 (536.3 MB)

Total sieving time: 17.81 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13100000,13100000,28,28,56,56,2.5,2.5,100000
total time: 17.81 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
351e6904118Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)
786Max DettweilerJanuary 31, 2010 03:06:06 UTC 2010 年 1 月 31 日 (日) 12 時 6 分 6 秒 (日本時間)

23×10198-113

c183

composite cofactor 合成数の残り
251047301144018607745875791713184082208281027310169854854087128058269232865085153592463756883724723977614993551044130727369331413797414316935810135914535342893787452022253204752262247<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 26, 2010 11:00:25 UTC 2010 年 10 月 26 日 (火) 20 時 0 分 25 秒 (日本時間)
403e62710110Ignacio SantosOctober 26, 2010 11:00:25 UTC 2010 年 10 月 26 日 (火) 20 時 0 分 25 秒 (日本時間)
1000Dmitry DomanovFebruary 20, 2012 06:59:56 UTC 2012 年 2 月 20 日 (月) 15 時 59 分 56 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:23 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 23 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:18 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 18 秒 (日本時間)
4511e632 / 3862Ignacio SantosOctober 26, 2010 11:00:25 UTC 2010 年 10 月 26 日 (火) 20 時 0 分 25 秒 (日本時間)

23×10199-113

c181

name 名前Serge Batalov
date 日付February 11, 2010 03:25:45 UTC 2010 年 2 月 11 日 (木) 12 時 25 分 45 秒 (日本時間)
composite number 合成数
2067836456960616125580112207478340345250585121456471885074169980976155336564327932509967820807543334230130982033857988384434864097448710656160273235045437743012034708274492803311441<181>
prime factors 素因数
26785306417768383017383069673<29>
composite cofactor 合成数の残り
77200403262472658939457511216613401783779708016624408936895042204938251258657627820124165446772584470655452639779122929980626066642213168843675509599017<152>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=312446636
Step 1 took 10657ms
Step 2 took 1248ms
********** Factor found in step 2: 26785306417768383017383069673
Found probable prime factor of 29 digits: 26785306417768383017383069673
Composite cofactor has 152 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 26, 2010 11:00:59 UTC 2010 年 10 月 26 日 (火) 20 時 0 分 59 秒 (日本時間)
403e62710110Ignacio SantosOctober 26, 2010 11:00:59 UTC 2010 年 10 月 26 日 (火) 20 時 0 分 59 秒 (日本時間)
1000Dmitry DomanovFebruary 20, 2012 07:00:04 UTC 2012 年 2 月 20 日 (月) 16 時 0 分 4 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:24 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 24 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:19 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 19 秒 (日本時間)
4511e632 / 3862Ignacio SantosOctober 26, 2010 11:00:59 UTC 2010 年 10 月 26 日 (火) 20 時 0 分 59 秒 (日本時間)

23×10200-113

c150

name 名前Ignacio Santos
date 日付October 26, 2010 10:59:28 UTC 2010 年 10 月 26 日 (火) 19 時 59 分 28 秒 (日本時間)
composite number 合成数
112198251353584774699797675713567751649038069148598763030222776701731820656194854114049084202375946496512466865587039485430904742158079405069206189757<150>
prime factors 素因数
4804773671744185381826480556724479983<37>
23351412370034816353582977046396300393920348457609155318748260466846057508113498472087111395318220620133626101779<113>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4154622239
Step 1 took 79623ms
Step 2 took 39374ms
********** Factor found in step 2: 4804773671744185381826480556724479983
Found probable prime factor of 37 digits: 4804773671744185381826480556724479983
Probable prime cofactor 23351412370034816353582977046396300393920348457609155318748260466846057508113498472087111395318220620133626101779 has 113 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 KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10202-113

c182

name 名前Serge Batalov
date 日付February 15, 2012 17:47:51 UTC 2012 年 2 月 16 日 (木) 2 時 47 分 51 秒 (日本時間)
composite number 合成数
15478138650022017221813119620024879188990248970788545640056919476159638513290438809921093177363265886473509261530335898083755993844412944503146597991834139752771604275125150016359911<182>
prime factors 素因数
881868998216055697768779141839357<33>
17551516927494838621305841251829216357396567544605295795017329723490915804845188168163130587931446346733580429531150628851155885390770102397467667123<149>
factorization results 素因数分解の結果
Using B1=500000, B2=696532002, polynomial Dickson(3), sigma=3017809397
Step 1 took 2217ms
Step 2 took 1840ms
********** Factor found in step 2: 881868998216055697768779141839357
Found probable prime factor of 33 digits: 881868998216055697768779141839357
Probable prime cofactor 175515169274... has 149 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 15, 2012 12:00:00 UTC 2012 年 2 月 15 日 (水) 21 時 0 分 0 秒 (日本時間)

23×10205-113

c197

name 名前Wataru Sakai
date 日付March 26, 2012 09:45:17 UTC 2012 年 3 月 26 日 (月) 18 時 45 分 17 秒 (日本時間)
composite number 合成数
14900126984757996792507580136904176777469318609691744827393076677906197180464946201698359658177707951282456964669204418331778417949122555935401750290850494938266298213657521345826201244219335640877<197>
prime factors 素因数
134279991524956170475145974404754357626313<42>
composite cofactor 合成数の残り
110963121277742873713586222424755802697491958539434918461623522094846543826558025281026218037605409260311484602531854309740094032237394588729156016936130629<156>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3235809358
Step 1 took 22711ms
Step 2 took 7070ms
********** Factor found in step 2: 134279991524956170475145974404754357626313
Found probable prime factor of 42 digits: 134279991524956170475145974404754357626313
Composite cofactor 110963121277742873713586222424755802697491958539434918461623522094846543826558025281026218037605409260311484602531854309740094032237394588729156016936130629 has 156 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2012 12:00:00 UTC 2012 年 2 月 15 日 (水) 21 時 0 分 0 秒 (日本時間)
403e62318320Lionel DebrouxFebruary 16, 2012 20:42:44 UTC 2012 年 2 月 17 日 (金) 5 時 42 分 44 秒 (日本時間)
1000Dmitry DomanovFebruary 20, 2012 07:08:40 UTC 2012 年 2 月 20 日 (月) 16 時 8 分 40 秒 (日本時間)
998Wataru SakaiMarch 26, 2012 09:44:59 UTC 2012 年 3 月 26 日 (月) 18 時 44 分 59 秒 (日本時間)
4511e6300 / 3963Serge BatalovMay 27, 2014 00:35:46 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 46 秒 (日本時間)

23×10206-113

c180

composite cofactor 合成数の残り
733952800836162438041990944979640218925149551572189607702161501082883016746470740515213958377445213720733472548392785803090975036130065400239663913718715517907101465430587222311747<180>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2012 12:00:00 UTC 2012 年 2 月 15 日 (水) 21 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 20, 2012 07:08:48 UTC 2012 年 2 月 20 日 (月) 16 時 8 分 48 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:25 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 25 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:19 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 19 秒 (日本時間)

23×10208-113

c186

composite cofactor 合成数の残り
105709289343466423224846237170832601988830148441485512765972959609825667499000550286105192620016416135534013061774670927083465912242308682471114947933428378668487364214548760643951765813<186>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2012 12:00:00 UTC 2012 年 2 月 15 日 (水) 21 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovFebruary 20, 2012 07:08:56 UTC 2012 年 2 月 20 日 (月) 16 時 8 分 56 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:25 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 25 秒 (日本時間)
4511e6300 / 3682Serge BatalovMay 27, 2014 00:35:46 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 46 秒 (日本時間)
5043e6144 / 7436CypFebruary 6, 2014 11:43:55 UTC 2014 年 2 月 6 日 (木) 20 時 43 分 55 秒 (日本時間)

23×10209-113

c199

composite cofactor 合成数の残り
2921016518037700976175350018768584154846981363128535084269919269479677594882245753332110612303575970891384014752886909926211052114648638724616812006934408920904834639923241505282077171229548754394519<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2012 12:00:00 UTC 2012 年 2 月 15 日 (水) 21 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 20, 2012 07:09:05 UTC 2012 年 2 月 20 日 (月) 16 時 9 分 5 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:26 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 26 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:19 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 19 秒 (日本時間)

23×10210-113

c211

name 名前Serge Batalov
date 日付February 15, 2012 20:49:45 UTC 2012 年 2 月 16 日 (木) 5 時 49 分 45 秒 (日本時間)
composite number 合成数
7666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663<211>
prime factors 素因数
99714020022242227028195318641060078633<38>
76886546796092852714332508481658867878431720816733951830921105390114885516824363159418559860064371594882210117066624682675712086428353434345884990038856360815927295288504911<173>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2045214647
Step 1 took 18545ms
Step 2 took 7801ms
********** Factor found in step 2: 99714020022242227028195318641060078633
Found probable prime factor of 38 digits: 99714020022242227028195318641060078633
Probable prime cofactor 768865467960... has 173 digits
software ソフトウェア
GMP-ECM 6.5-dev [configured with GMP 5.0.2, --enable-asm-redc] [ECM]

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 15, 2012 12:00:00 UTC 2012 年 2 月 15 日 (水) 21 時 0 分 0 秒 (日本時間)

23×10211-113

c208

name 名前Serge Batalov
date 日付April 18, 2012 16:47:03 UTC 2012 年 4 月 19 日 (木) 1 時 47 分 3 秒 (日本時間)
composite number 合成数
1793833890981695095034199833095455360833586809861406833727196861570618560721277209730378966907664350281163964216913513808621321665613764165438280415233549373328029824438257017400188742522442421831738381025917<208>
prime factors 素因数
4162326077832630614790745593107203610941<40>
430969092146611519519439417335723099816244868450435419479627727439167374771394789937943031695704776424892694293509299604097263871911203452520296084599069813312158147137<168>
factorization results 素因数分解の結果
Using B1=43000000, B2=582162027730, polynomial Dickson(30), sigma=3824550140
Step 1 took 216818ms
Step 2 took 146393ms
********** Factor found in step 2: 4162326077832630614790745593107203610941
Found probable prime factor of 40 digits: 4162326077832630614790745593107203610941
Probable prime cofactor 430969092146... has 168 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2012 12:00:00 UTC 2012 年 2 月 15 日 (水) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 20, 2012 07:09:14 UTC 2012 年 2 月 20 日 (月) 16 時 9 分 14 秒 (日本時間)
4511e6400 / 4254Serge BatalovApril 18, 2012 00:27:45 UTC 2012 年 4 月 18 日 (水) 9 時 27 分 45 秒 (日本時間)

23×10213-113

c178

composite cofactor 合成数の残り
7001379584895337223414185259081705651984836439660497484787095922667420055409828177964196022548655755487487053882973950819151486300217832892131496283621480580556673145898435270147<178>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2012 12:00:00 UTC 2012 年 2 月 15 日 (水) 21 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 20, 2012 07:09:23 UTC 2012 年 2 月 20 日 (月) 16 時 9 分 23 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:27 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 27 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:20 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 20 秒 (日本時間)

23×10214-113

c196

name 名前Warut Roonguthai
date 日付February 15, 2012 16:54:54 UTC 2012 年 2 月 16 日 (木) 1 時 54 分 54 秒 (日本時間)
composite number 合成数
3048443429255239050192724439840166911905126204620624192917021539356809790209146100871318117998238343791961538971599881940379399906877473718985291082755437406359415408570652575739331207020848580199<196>
prime factors 素因数
101119586848218964690149553363<30>
composite cofactor 合成数の残り
30146913414816150106407561019941839942925915713491501684166161607358535142098741619513350393518777081237200368630204384248910355708282881720304755989874317497982466973<167>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1704023569
Step 1 took 9578ms
Step 2 took 5632ms
********** Factor found in step 2: 101119586848218964690149553363
Found probable prime factor of 30 digits: 101119586848218964690149553363
Composite cofactor 30146913414816150106407561019941839942925915713491501684166161607358535142098741619513350393518777081237200368630204384248910355708282881720304755989874317497982466973 has 167 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2012 12:00:00 UTC 2012 年 2 月 15 日 (水) 21 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 20, 2012 07:09:32 UTC 2012 年 2 月 20 日 (月) 16 時 9 分 32 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:28 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 28 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:20 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 20 秒 (日本時間)

23×10215-113

c206

composite cofactor 合成数の残り
24633829569874042815990907559083219713401156249160881061483059723078611461147020760032448850309239051388717666413668657985153521247181085723162510793084429237281993006222492036371854800782250955207857847239<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2012 12:00:00 UTC 2012 年 2 月 15 日 (水) 21 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovFebruary 20, 2012 07:09:41 UTC 2012 年 2 月 20 日 (月) 16 時 9 分 41 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:29 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 29 秒 (日本時間)
4511e6595 / 4188295CypMarch 10, 2014 18:34:10 UTC 2014 年 3 月 11 日 (火) 3 時 34 分 10 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:47 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 47 秒 (日本時間)

23×10216-113

c159

composite cofactor 合成数の残り
123512282103124518908686508954471502999929644496116509781950934589602126819269174656056773093229869408372911970316389676676752429463290823663135306179210322057<159>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2012 12:00:00 UTC 2012 年 2 月 15 日 (水) 21 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 20, 2012 07:09:49 UTC 2012 年 2 月 20 日 (月) 16 時 9 分 49 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:29 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 29 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:21 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 21 秒 (日本時間)

23×10217-113

c177

name 名前Dmitry Domanov
date 日付February 17, 2012 07:23:58 UTC 2012 年 2 月 17 日 (金) 16 時 23 分 58 秒 (日本時間)
composite number 合成数
175007355846564925474790359583034754402987965124675671855526462043937254565182985141329051957126037945520810053450828988533608855207852047229816786076226081544301096510827878637<177>
prime factors 素因数
438992194244221995941590991456261251<36>
398657101746105518199867013497646180006579301088907579541285552608660701992339733637721470594478050360098728418873716027405117765772135399887<141>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1542314840
Step 1 took 23410ms
Step 2 took 8944ms
********** Factor found in step 2: 438992194244221995941590991456261251
Found probable prime factor of 36 digits: 438992194244221995941590991456261251

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 15, 2012 12:00:00 UTC 2012 年 2 月 15 日 (水) 21 時 0 分 0 秒 (日本時間)

23×10219-113

c202

composite cofactor 合成数の残り
1833585302550239724745990334752889720184553355579128168798099353565772540544776098108108764866823010522837516114192651813596804901060250299055503409633286403502282154964988814914733182855899348067883179<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2012 12:00:00 UTC 2012 年 2 月 15 日 (水) 21 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovFebruary 20, 2012 07:10:00 UTC 2012 年 2 月 20 日 (月) 16 時 10 分 0 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:30 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 30 秒 (日本時間)
4511e6595 / 4188295CypMarch 8, 2014 01:54:43 UTC 2014 年 3 月 8 日 (土) 10 時 54 分 43 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:47 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 47 秒 (日本時間)

23×10220-113

c192

composite cofactor 合成数の残り
341856662449729661290830365434747990642029788263143242006078660019623422776491267901161913525771105788098073462767161008465852086018964188585605463206815000360142443183372327367040080653808979<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2012 12:00:00 UTC 2012 年 2 月 15 日 (水) 21 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 20, 2012 07:10:07 UTC 2012 年 2 月 20 日 (月) 16 時 10 分 7 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:31 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 31 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:21 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 21 秒 (日本時間)

23×10222-113

c215

composite cofactor 合成数の残り
13230989969171741598390832273282236665213058335214449332200325695084549911787235331209999902142447667138914639031979217041683516548115069420435830408808522137704978516234687298561593328183797521705684968261538653879<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2012 12:00:00 UTC 2012 年 2 月 15 日 (水) 21 時 0 分 0 秒 (日本時間)
403e623181000Dmitry DomanovFebruary 20, 2012 07:10:15 UTC 2012 年 2 月 20 日 (月) 16 時 10 分 15 秒 (日本時間)
1318Wataru SakaiMarch 24, 2012 09:13:40 UTC 2012 年 3 月 24 日 (土) 18 時 13 分 40 秒 (日本時間)
4511e6300 / 3963Serge BatalovMay 27, 2014 00:35:48 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 48 秒 (日本時間)

23×10223-113

c190

name 名前Dmitry Domanov
date 日付February 17, 2012 09:00:43 UTC 2012 年 2 月 17 日 (金) 18 時 0 分 43 秒 (日本時間)
composite number 合成数
7744458956541344646531831372211773647734687684261890168460653673318821779661923409199161639522582138701414385434714743520717899908131912579984146899283168556189413478063089921229869900753453<190>
prime factors 素因数
629149975379951835478316576573515679717<39>
composite cofactor 合成数の残り
12309400396724748136815462911338191151477109251780189381317449877113403160713557646755813304281814412914147075667912103917558440127970919893672060708009<152>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1869637671
Step 1 took 24093ms
Step 2 took 9251ms
********** Factor found in step 2: 629149975379951835478316576573515679717
Found probable prime factor of 39 digits: 629149975379951835478316576573515679717

c152

name 名前Dmitry Domanov
date 日付March 10, 2012 15:57:40 UTC 2012 年 3 月 11 日 (日) 0 時 57 分 40 秒 (日本時間)
composite number 合成数
12309400396724748136815462911338191151477109251780189381317449877113403160713557646755813304281814412914147075667912103917558440127970919893672060708009<152>
prime factors 素因数
1051288471254015057109424101285484625233<40>
11708870337027141972213896388312738722339606224136124937742138372766995491827144512550054362836746872007242202073<113>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4287993058
Step 1 took 60098ms
Step 2 took 24143ms
********** Factor found in step 2: 1051288471254015057109424101285484625233
Found probable prime factor of 40 digits: 1051288471254015057109424101285484625233

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2012 12:00:00 UTC 2012 年 2 月 15 日 (水) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 20, 2012 07:10:23 UTC 2012 年 2 月 20 日 (月) 16 時 10 分 23 秒 (日本時間)
4511e6400 / 4254Dmitry DomanovMarch 9, 2012 16:11:11 UTC 2012 年 3 月 10 日 (土) 1 時 11 分 11 秒 (日本時間)

23×10224-113

c179

name 名前Warut Roonguthai
date 日付February 16, 2012 02:12:32 UTC 2012 年 2 月 16 日 (木) 11 時 12 分 32 秒 (日本時間)
composite number 合成数
23608908625041603728829959740856730447013584398969644528002301457711140669769608951020508596817033197902984182306600571186467002992782637827721059984320817195325029784687686900109<179>
prime factors 素因数
32279063386993174821845418759570577<35>
composite cofactor 合成数の残り
731400051544085270285665306466267724103817419524395226475183420129317735500925653956414869854413513138283020103133269837839993479486645211353917<144>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2162704194
Step 1 took 7862ms
Step 2 took 4945ms
********** Factor found in step 2: 32279063386993174821845418759570577
Found probable prime factor of 35 digits: 32279063386993174821845418759570577
Composite cofactor 731400051544085270285665306466267724103817419524395226475183420129317735500925653956414869854413513138283020103133269837839993479486645211353917 has 144 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2012 12:00:00 UTC 2012 年 2 月 15 日 (水) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 20, 2012 07:10:32 UTC 2012 年 2 月 20 日 (月) 16 時 10 分 32 秒 (日本時間)
4511e64400400Dmitry DomanovMarch 9, 2012 16:11:31 UTC 2012 年 3 月 10 日 (土) 1 時 11 分 31 秒 (日本時間)
4000Wataru SakaiApril 7, 2012 08:45:45 UTC 2012 年 4 月 7 日 (土) 17 時 45 分 45 秒 (日本時間)

23×10225-113

c121

name 名前Warut Roonguthai
date 日付February 16, 2012 23:25:59 UTC 2012 年 2 月 17 日 (金) 8 時 25 分 59 秒 (日本時間)
composite number 合成数
3314280661507319387486825333060889708155704310014209218503938297076478781979747572869417272384955633694477614135107952009<121>
prime factors 素因数
4999432978065796065068279930071578008542234811<46>
662931311620375744893454381583222380397999347324772923801661132730079764619<75>
factorization results 素因数分解の結果
N = 3314280661507319387486825333060889708155704310014209218503938297076478781979747572869417272384955633694477614135107952009 (121 digits)
Divisors found:
r1=4999432978065796065068279930071578008542234811 (pp46)
r2=662931311620375744893454381583222380397999347324772923801661132730079764619 (pp75)
Version: Msieve v. 1.48
Total time: 13.55 hours.
Factorization parameters were as follows:
n: 3314280661507319387486825333060889708155704310014209218503938297076478781979747572869417272384955633694477614135107952009
Y0: -211025476025467391817843
Y1: 7549197102239
c0: 10406948361308036175708834371344
c1: 315988208622309749502366720
c2: 1314416541539083805247
c3: -3545819109458180
c4: -5271797676
c5: 7920
skew: 412574.67 
type: gnfs
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10459656
Relations: 1162628 relations
Pruned matrix : 668865 x 669093
Polynomial selection time: 0.00 hours.
Total sieving time: 12.95 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.52 hours.
time per square root: 0.04 hours.
Prototype def-par.txt line would be: gnfs,120,5,65,2000,1e-05,0.28,250,20,50000,3600,4400000,4400000,27,27,53,53,2.5,2.5,100000
total time: 13.55 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 15, 2012 12:00:00 UTC 2012 年 2 月 15 日 (水) 21 時 0 分 0 秒 (日本時間)

23×10226-113

c203

name 名前Warut Roonguthai
date 日付February 16, 2012 02:13:51 UTC 2012 年 2 月 16 日 (木) 11 時 13 分 51 秒 (日本時間)
composite number 合成数
18404518006574083173955684192280288566799670261801345665245770699709985126263125503814731549398100015732295758140442781182655352902428576187808561144649102188910806903526815049722204961955493638212257241<203>
prime factors 素因数
1404419577972030587439332632943<31>
13104714784131707930550467538202880841282710474250200295734610113102684100605914277187721379956282304477093087442040441083231604326845329989053654042874129854077307621298487<173>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1738861789
Step 1 took 7550ms
Step 2 took 4883ms
********** Factor found in step 2: 1404419577972030587439332632943
Found probable prime factor of 31 digits: 1404419577972030587439332632943
Probable prime cofactor 13104714784131707930550467538202880841282710474250200295734610113102684100605914277187721379956282304477093087442040441083231604326845329989053654042874129854077307621298487 has 173 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 15, 2012 12:00:00 UTC 2012 年 2 月 15 日 (水) 21 時 0 分 0 秒 (日本時間)

23×10228-113

c207

composite cofactor 合成数の残り
776152737821951765088293611500383580703036251829641186356674461721137576506882850969252336843625920431877668600461964780599073082036648474679399845781707906026954281023347379490498369731179817188331361320947<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2012 12:00:00 UTC 2012 年 2 月 15 日 (水) 21 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 20, 2012 07:10:42 UTC 2012 年 2 月 20 日 (月) 16 時 10 分 42 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:31 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 31 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:22 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 22 秒 (日本時間)

23×10229-113

c175

composite cofactor 合成数の残り
2982616266206180943737660041348004016900591396104702587677897237499683248766920526773971684244404793547546721705014339510654285286462078439437346129802190946182926636356454661<175>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2012 12:00:00 UTC 2012 年 2 月 15 日 (水) 21 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 20, 2012 07:10:50 UTC 2012 年 2 月 20 日 (月) 16 時 10 分 50 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:32 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 32 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:22 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 22 秒 (日本時間)

23×10230-113

c215

name 名前Warut Roonguthai
date 日付February 16, 2012 04:58:30 UTC 2012 年 2 月 16 日 (木) 13 時 58 分 30 秒 (日本時間)
composite number 合成数
18637406892351121975668348785255125083330921159756747125352836114084374037918183928502535282981200035900952763662745282927445643073279246787687785060136313848662358833834931163917655819318926465332982184183343958037<215>
prime factors 素因数
1360033755341715330160955933<28>
13703635530478712005177701793240208202759330647315723967628177467921158883581448759834818393597932322210384633015112882133964659334363588623369747393900252525597374426348379316873151360089<188>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3711159462
Step 1 took 10593ms
Step 2 took 6021ms
********** Factor found in step 2: 1360033755341715330160955933
Found probable prime factor of 28 digits: 1360033755341715330160955933
Probable prime cofactor 13703635530478712005177701793240208202759330647315723967628177467921158883581448759834818393597932322210384633015112882133964659334363588623369747393900252525597374426348379316873151360089 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 KamadaFebruary 15, 2012 12:00:00 UTC 2012 年 2 月 15 日 (水) 21 時 0 分 0 秒 (日本時間)

23×10234-113

c136

name 名前Warut Roonguthai
date 日付February 16, 2012 05:09:20 UTC 2012 年 2 月 16 日 (木) 14 時 9 分 20 秒 (日本時間)
composite number 合成数
1343197906996946658235909955461932261534197252751980098312492019094008990306837415580877335795146581203409781212292238592269290618216781<136>
prime factors 素因数
24507224683039669792105268997891841403<38>
54808242237502826858164851753830131167705911251949869573329483368529462782154341160971314543226327<98>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2184580833
Step 1 took 4415ms
Step 2 took 3432ms
********** Factor found in step 2: 24507224683039669792105268997891841403
Found probable prime factor of 38 digits: 24507224683039669792105268997891841403
Probable prime cofactor 54808242237502826858164851753830131167705911251949869573329483368529462782154341160971314543226327 has 98 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 15, 2012 12:00:00 UTC 2012 年 2 月 15 日 (水) 21 時 0 分 0 秒 (日本時間)

23×10235-113

c217

name 名前Warut Roonguthai
date 日付February 16, 2012 05:19:24 UTC 2012 年 2 月 16 日 (木) 14 時 19 分 24 秒 (日本時間)
composite number 合成数
7026892511262232995739634208735624069085219938629016945312279043297766224749647654121124862436661013805103813364498889688110215206793945832934330364590793252706577810136190199211796914275857644328775908700910009426357<217>
prime factors 素因数
453977820258189091600216970430341<33>
composite cofactor 合成数の残り
15478492996124469141972479680067010383402268323745099600201774091095966909775721252830139314640723815310070734583096975412464311491492261427103915298455550968267318018660292742185816177<185>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4060488159
Step 1 took 11138ms
Step 2 took 6365ms
********** Factor found in step 2: 453977820258189091600216970430341
Found probable prime factor of 33 digits: 453977820258189091600216970430341
Composite cofactor 15478492996124469141972479680067010383402268323745099600201774091095966909775721252830139314640723815310070734583096975412464311491492261427103915298455550968267318018660292742185816177 has 185 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2012 12:00:00 UTC 2012 年 2 月 15 日 (水) 21 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 20, 2012 07:11:04 UTC 2012 年 2 月 20 日 (月) 16 時 11 分 4 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:33 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 33 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:22 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 22 秒 (日本時間)

23×10236-113

c220

name 名前Serge Batalov
date 日付January 9, 2014 08:25:15 UTC 2014 年 1 月 9 日 (木) 17 時 25 分 15 秒 (日本時間)
composite number 合成数
1682481504750627770941214789973337243574838227732416755818892498427385273068404899451901648532459704439676562594614994355544660891288865043522786581880073401070079152467412525118909504775401864692337191887740414078026131<220>
prime factors 素因数
27387540907328438148024673761519637<35>
composite cofactor 合成数の残り
61432368478924825932683631116898245688472475410114900413614214380410676524372544850353745102207486834799990089754605017696816155052291179292005266120881073553768961965621761166667597063<185>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3111705243
Step 1 took 20851ms
Step 2 took 7875ms
********** Factor found in step 2: 27387540907328438148024673761519637
Found probable prime factor of 35 digits: 27387540907328438148024673761519637
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2012 12:00:00 UTC 2012 年 2 月 15 日 (水) 21 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 20, 2012 07:11:12 UTC 2012 年 2 月 20 日 (月) 16 時 11 分 12 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:34 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 34 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:23 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 23 秒 (日本時間)

23×10237-113

c230

name 名前Dmitry Domanov
date 日付February 17, 2012 07:22:42 UTC 2012 年 2 月 17 日 (金) 16 時 22 分 42 秒 (日本時間)
composite number 合成数
35388990062677732643839484840686821579693461460495095756060146444349153690535674203012132658263421729537523183885151316605293156785293623273728719040467108573293804200709740351303026999265258404273910481509384246974813343426088661<230>
prime factors 素因数
109902569481117692328055266574729<33>
322003300102623151388273668524395443601908806668850952152891962581633755595443777003800373232496754088977524208751981175987591516984134813956200056026573859165033341417618359660747834209173964540909<198>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1723951321
Step 1 took 31921ms
Step 2 took 11664ms
********** Factor found in step 2: 109902569481117692328055266574729
Found probable prime factor of 33 digits: 109902569481117692328055266574729

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 15, 2012 12:00:00 UTC 2012 年 2 月 15 日 (水) 21 時 0 分 0 秒 (日本時間)

23×10238-113

c231

composite cofactor 合成数の残り
933396672819901611143707622598944095419697126658872642118764345622032161286205031479634731363912617692341572421706068201290109226849720201563846063262972390584999830913163595473040746510530019195627236253561816339440722268189302861<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2012 12:00:00 UTC 2012 年 2 月 15 日 (水) 21 時 0 分 0 秒 (日本時間)
403e623181000Dmitry DomanovFebruary 20, 2012 07:11:20 UTC 2012 年 2 月 20 日 (月) 16 時 11 分 20 秒 (日本時間)
1318Wataru SakaiMarch 24, 2012 09:12:56 UTC 2012 年 3 月 24 日 (土) 18 時 12 分 56 秒 (日本時間)
4511e6300 / 3963Serge BatalovMay 27, 2014 00:35:48 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 48 秒 (日本時間)

23×10239-113

c240

composite cofactor 合成数の残り
766666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2012 12:00:00 UTC 2012 年 2 月 15 日 (水) 21 時 0 分 0 秒 (日本時間)
403e61700700Serge BatalovFebruary 15, 2012 21:19:04 UTC 2012 年 2 月 16 日 (木) 6 時 19 分 4 秒 (日本時間)
1000Dmitry DomanovFebruary 20, 2012 07:11:28 UTC 2012 年 2 月 20 日 (月) 16 時 11 分 28 秒 (日本時間)
4511e64100Wataru SakaiMarch 26, 2012 09:46:09 UTC 2012 年 3 月 26 日 (月) 18 時 46 分 9 秒 (日本時間)
5043e60--
5511e72735 / 17499yoyo@homeMarch 22, 2013 12:41:57 UTC 2013 年 3 月 22 日 (金) 21 時 41 分 57 秒 (日本時間)

23×10242-113

c210

name 名前Warut Roonguthai
date 日付February 16, 2012 06:11:21 UTC 2012 年 2 月 16 日 (木) 15 時 11 分 21 秒 (日本時間)
composite number 合成数
156215689364055063082551112324508205590767579575332072515619169463705329697350715759768840992693843923520658895425611682999212660137931673205570842561762217446533611645316951008861241304838674146024701384957231<210>
prime factors 素因数
14312531099503375389188478534481<32>
10914609601754893432384040833318529614396187009992720325460593475378450223836953805494884845960957618927713112421079505665918441479118145089163712779695127207123045429368408602751<179>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=938163109
Step 1 took 9891ms
Step 2 took 5897ms
********** Factor found in step 2: 14312531099503375389188478534481
Found probable prime factor of 32 digits: 14312531099503375389188478534481
Probable prime cofactor 10914609601754893432384040833318529614396187009992720325460593475378450223836953805494884845960957618927713112421079505665918441479118145089163712779695127207123045429368408602751 has 179 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 15, 2012 12:00:00 UTC 2012 年 2 月 15 日 (水) 21 時 0 分 0 秒 (日本時間)

23×10243-113

c211

composite cofactor 合成数の残り
1778507816388025990894577426198520252290331296937185336491381182551567612262958992268954787395156624733457184731490658808563789848671052691166519594612020463634828157061964714802183505139714007560335838464060689<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2012 12:00:00 UTC 2012 年 2 月 15 日 (水) 21 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 20, 2012 07:11:37 UTC 2012 年 2 月 20 日 (月) 16 時 11 分 37 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:34 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 34 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:23 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 23 秒 (日本時間)

23×10244-113

c219

name 名前Warut Roonguthai
date 日付February 16, 2012 06:54:15 UTC 2012 年 2 月 16 日 (木) 15 時 54 分 15 秒 (日本時間)
composite number 合成数
331631465553653753330469149882034169436909560400445517012147627760008770205576599233285768659448139618761426612147692417983207810675958854019594945208865049435966869430206938636002916655426366872446399192337542283493581<219>
prime factors 素因数
8616603607600420738717082731<28>
38487492364292192597056153591880472437793589586618629543697158546772159887492548685386465168673931182442932138544065235849304734843226795447636036841564371676241411614640865915172676119805351<191>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=509779145
Step 1 took 11763ms
Step 2 took 6396ms
********** Factor found in step 2: 8616603607600420738717082731
Found probable prime factor of 28 digits: 8616603607600420738717082731
Probable prime cofactor 38487492364292192597056153591880472437793589586618629543697158546772159887492548685386465168673931182442932138544065235849304734843226795447636036841564371676241411614640865915172676119805351 has 191 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 15, 2012 12:00:00 UTC 2012 年 2 月 15 日 (水) 21 時 0 分 0 秒 (日本時間)

23×10245-113

c230

composite cofactor 合成数の残り
22397575533044523138081896836087651885853198890312279500162600398577566369159073491669238576897601754031867014144189743500157536956896941117817454697297786048872772398298335275505433924810804650768764428009481580751485681979158197<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2012 12:00:00 UTC 2012 年 2 月 15 日 (水) 21 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 20, 2012 07:11:49 UTC 2012 年 2 月 20 日 (月) 16 時 11 分 49 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:35 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 35 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:24 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 24 秒 (日本時間)

23×10246-113

c228

name 名前Warut Roonguthai
date 日付February 16, 2012 07:05:40 UTC 2012 年 2 月 16 日 (木) 16 時 5 分 40 秒 (日本時間)
composite number 合成数
103820593503362837892555969211953535398162244531637083905685910750361985290761882266107146085393819869743962555803707056199914062968747654110006406378004712665192237536580907979545930571438864660597771202824880508983957411897387<228>
prime factors 素因数
1842965248479609982407642677269<31>
composite cofactor 合成数の残り
56333451533615001835106272597453761500143752953696207463049259121532071264992996425482725794802038931647665866094487380080809615591547446961106562721265872167165674209592794041595264982198850645823<197>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3363144323
Step 1 took 11560ms
********** Factor found in step 1: 1842965248479609982407642677269
Found probable prime factor of 31 digits: 1842965248479609982407642677269
Composite cofactor 56333451533615001835106272597453761500143752953696207463049259121532071264992996425482725794802038931647665866094487380080809615591547446961106562721265872167165674209592794041595264982198850645823 has 197 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2012 12:00:00 UTC 2012 年 2 月 15 日 (水) 21 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovFebruary 20, 2012 07:11:57 UTC 2012 年 2 月 20 日 (月) 16 時 11 分 57 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:37 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 37 秒 (日本時間)
4511e6300 / 3682Serge BatalovMay 27, 2014 00:35:49 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 49 秒 (日本時間)
5043e6144 / 7436CypFebruary 11, 2014 15:28:14 UTC 2014 年 2 月 12 日 (水) 0 時 28 分 14 秒 (日本時間)

23×10247-113

c240

name 名前Dmitry Domanov
date 日付May 11, 2012 09:40:02 UTC 2012 年 5 月 11 日 (金) 18 時 40 分 2 秒 (日本時間)
composite number 合成数
187066860460451429275929339358425068420700547775606140283603754868812560561726906193272406649149058919125744524172963928890378439943115310136403355575086908233700120450643448715253797720990953704455066333937185972233846462042247483953370143<240>
prime factors 素因数
22913534532371921826655392157298125673939957728649<50>
composite cofactor 合成数の残り
8164033366225798964112738835103379712914524537397567070846825094359642331673702852792265489399701407529057821842503051364629027703954737449524188071741073059795225208874058664364513110690407<190>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2500401199
Step 1 took 503210ms
Step 2 took 126221ms
********** Factor found in step 2: 22913534532371921826655392157298125673939957728649
Found probable prime factor of 50 digits: 22913534532371921826655392157298125673939957728649

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2012 12:00:00 UTC 2012 年 2 月 15 日 (水) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 20, 2012 07:12:06 UTC 2012 年 2 月 20 日 (月) 16 時 12 分 6 秒 (日本時間)
4511e6400Dmitry DomanovMarch 9, 2012 22:05:01 UTC 2012 年 3 月 10 日 (土) 7 時 5 分 1 秒 (日本時間)
5043e61100 / 7425440Dmitry DomanovMarch 14, 2012 20:02:18 UTC 2012 年 3 月 15 日 (木) 5 時 2 分 18 秒 (日本時間)
660Domanov DmitryMay 6, 2012 23:31:21 UTC 2012 年 5 月 7 日 (月) 8 時 31 分 21 秒 (日本時間)

23×10248-113

c209

composite cofactor 合成数の残り
25544418744557228028445630296614186584684417742675954502637423220045812450200681475928372415142256820046463550787877343589980667833359700588406547953577879297668035930068734372850233993536796129779000216413347<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2012 12:00:00 UTC 2012 年 2 月 15 日 (水) 21 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 20, 2012 07:12:14 UTC 2012 年 2 月 20 日 (月) 16 時 12 分 14 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:37 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 37 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:24 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 24 秒 (日本時間)

23×10249-113

c224

name 名前Serge Batalov
date 日付May 27, 2014 00:42:05 UTC 2014 年 5 月 27 日 (火) 9 時 42 分 5 秒 (日本時間)
composite number 合成数
21519609861114026618541480336666913822911855656728333414281722913863712664853761041719509742357932403282998246809072786739270771176847790576709479488082874864308393966977196913023283725152089014503811098649118664862610601631<224>
prime factors 素因数
111542387123610368728230454076076008771<39>
192927643168208059853074607139714670404351744687750431671209437763379014990902982806242664943307321245962894800601917025845203128508406213633480450744261305467595655889430435875037324661<186>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3811306993
Step 1 took 21006ms
Step 2 took 4078ms
********** Factor found in step 2: 111542387123610368728230454076076008771
Found probable prime factor of 39 digits: 111542387123610368728230454076076008771
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2012 12:00:00 UTC 2012 年 2 月 15 日 (水) 21 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 20, 2012 07:12:24 UTC 2012 年 2 月 20 日 (月) 16 時 12 分 24 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:38 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 38 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:25 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 25 秒 (日本時間)

23×10250-113

c195

name 名前Dmitry Domanov
date 日付February 27, 2012 06:52:53 UTC 2012 年 2 月 27 日 (月) 15 時 52 分 53 秒 (日本時間)
composite number 合成数
499015849967281292357719120690474753548936249474357155622136675194203830511826444074894928798854167878151107369956500271499578954007064024758043539055336585890092898970750624500302215931650424099<195>
prime factors 素因数
1970953832338626406327524183350975173188833<43>
253184951255391040624789566396309104987718759380899126833935775442371415245840532534891616670949008955928514221170931079129004519982152096485241116227203<153>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=885404559
Step 1 took 383634ms
Step 2 took 97180ms
********** Factor found in step 2: 1970953832338626406327524183350975173188833
Found probable prime factor of 43 digits: 1970953832338626406327524183350975173188833

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2012 12:00:00 UTC 2012 年 2 月 15 日 (水) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 20, 2012 07:12:37 UTC 2012 年 2 月 20 日 (月) 16 時 12 分 37 秒 (日本時間)
4511e6400 / 746Dmitry DomanovFebruary 21, 2012 06:42:08 UTC 2012 年 2 月 21 日 (火) 15 時 42 分 8 秒 (日本時間)
5043e61000 / 7425Dmitry DomanovFebruary 26, 2012 13:19:41 UTC 2012 年 2 月 26 日 (日) 22 時 19 分 41 秒 (日本時間)