Table of contents 目次

71×10102-539

c103

name 名前Dmitry Domanov
date 日付December 17, 2009 17:38:55 UTC 2009 年 12 月 18 日 (金) 2 時 38 分 55 秒 (日本時間)
composite number 合成数
7888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883<103>
prime factors 素因数
70844568918754187799073067693869<32>
111354885904323972056732251864761215138728152912876090552311636191082207<72>
factorization results 素因数分解の結果
N=7888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883
  ( 103 digits)
SNFS difficulty: 103 digits.
Divisors found:
 r1=70844568918754187799073067693869 (pp32)
 r2=111354885904323972056732251864761215138728152912876090552311636191082207 (pp72)
Version: Msieve-1.40
Total time: 0.34 hours.
Scaled time: 0.65 units (timescale=1.888).
Factorization parameters were as follows:
n: 7888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883
m: 10000000000000000000000000
deg: 4
c4: 7100
c0: -53
skew: 0.29
type: snfs
lss: 1
rlim: 380000
alim: 380000
lpbr: 25
lpba: 25
mfbr: 43
mfba: 43
rlambda: 2.2
alambda: 2.2Factor base limits: 380000/380000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [190000, 250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 30812 x 31042
Total sieving time: 0.33 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,103.000,4,0,0,0,0,0,0,0,0,380000,380000,25,25,43,43,2.2,2.2,10000
total time: 0.34 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 17, 2009 14:00:00 UTC 2009 年 12 月 17 日 (木) 23 時 0 分 0 秒 (日本時間)

71×10106-539

c89

name 名前Erik Branger
date 日付December 17, 2009 18:26:02 UTC 2009 年 12 月 18 日 (金) 3 時 26 分 2 秒 (日本時間)
composite number 合成数
28515647812805557665654578219032714046939482963930944496594790241418751535994394512285363<89>
prime factors 素因数
53297442354068332478494079591206476081077<41>
535028447019444715581687239232391799724047883719<48>
factorization results 素因数分解の結果
Thu Dec 17 17:30:46 2009  Msieve v. 1.43
Thu Dec 17 17:30:46 2009  random seeds: 71c02d80 12ee9b7a
Thu Dec 17 17:30:46 2009  factoring 28515647812805557665654578219032714046939482963930944496594790241418751535994394512285363 (89 digits)
Thu Dec 17 17:30:49 2009  searching for 15-digit factors
Thu Dec 17 17:30:50 2009  commencing quadratic sieve (89-digit input)
Thu Dec 17 17:30:50 2009  using multiplier of 1
Thu Dec 17 17:30:50 2009  using 64kb Pentium 4 sieve core
Thu Dec 17 17:30:50 2009  sieve interval: 15 blocks of size 65536
Thu Dec 17 17:30:50 2009  processing polynomials in batches of 7
Thu Dec 17 17:30:50 2009  using a sieve bound of 1546823 (58611 primes)
Thu Dec 17 17:30:50 2009  using large prime bound of 123745840 (26 bits)
Thu Dec 17 17:30:50 2009  using double large prime bound of 368599753674560 (42-49 bits)
Thu Dec 17 17:30:50 2009  using trial factoring cutoff of 49 bits
Thu Dec 17 17:30:50 2009  polynomial 'A' values have 11 factors
Thu Dec 17 19:21:41 2009  58786 relations (15786 full + 43000 combined from 626816 partial), need 58707
Thu Dec 17 19:21:43 2009  begin with 642602 relations
Thu Dec 17 19:21:44 2009  reduce to 143411 relations in 10 passes
Thu Dec 17 19:21:44 2009  attempting to read 143411 relations
Thu Dec 17 19:21:49 2009  recovered 143411 relations
Thu Dec 17 19:21:49 2009  recovered 123175 polynomials
Thu Dec 17 19:21:49 2009  attempting to build 58786 cycles
Thu Dec 17 19:21:49 2009  found 58786 cycles in 6 passes
Thu Dec 17 19:21:49 2009  distribution of cycle lengths:
Thu Dec 17 19:21:49 2009     length 1 : 15786
Thu Dec 17 19:21:49 2009     length 2 : 11230
Thu Dec 17 19:21:49 2009     length 3 : 10197
Thu Dec 17 19:21:49 2009     length 4 : 7832
Thu Dec 17 19:21:49 2009     length 5 : 5528
Thu Dec 17 19:21:49 2009     length 6 : 3586
Thu Dec 17 19:21:49 2009     length 7 : 2143
Thu Dec 17 19:21:49 2009     length 9+: 2484
Thu Dec 17 19:21:49 2009  largest cycle: 16 relations
Thu Dec 17 19:21:49 2009  matrix is 58611 x 58786 (14.3 MB) with weight 3525701 (59.98/col)
Thu Dec 17 19:21:49 2009  sparse part has weight 3525701 (59.98/col)
Thu Dec 17 19:21:51 2009  filtering completed in 3 passes
Thu Dec 17 19:21:51 2009  matrix is 54725 x 54789 (13.5 MB) with weight 3315509 (60.51/col)
Thu Dec 17 19:21:51 2009  sparse part has weight 3315509 (60.51/col)
Thu Dec 17 19:21:51 2009  saving the first 48 matrix rows for later
Thu Dec 17 19:21:51 2009  matrix is 54677 x 54789 (9.5 MB) with weight 2710808 (49.48/col)
Thu Dec 17 19:21:51 2009  sparse part has weight 2160529 (39.43/col)
Thu Dec 17 19:21:51 2009  matrix includes 64 packed rows
Thu Dec 17 19:21:51 2009  using block size 21845 for processor cache size 512 kB
Thu Dec 17 19:21:52 2009  commencing Lanczos iteration
Thu Dec 17 19:21:52 2009  memory use: 9.2 MB
Thu Dec 17 19:22:19 2009  lanczos halted after 866 iterations (dim = 54674)
Thu Dec 17 19:22:20 2009  recovered 15 nontrivial dependencies
Thu Dec 17 19:22:20 2009  prp41 factor: 53297442354068332478494079591206476081077
Thu Dec 17 19:22:20 2009  prp48 factor: 535028447019444715581687239232391799724047883719
Thu Dec 17 19:22:20 2009  elapsed time 01:51:34
software ソフトウェア
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 17, 2009 14:00:00 UTC 2009 年 12 月 17 日 (木) 23 時 0 分 0 秒 (日本時間)

71×10112-539

c104

name 名前Dmitry Domanov
date 日付December 17, 2009 17:55:27 UTC 2009 年 12 月 18 日 (金) 2 時 55 分 27 秒 (日本時間)
composite number 合成数
16622772714681033343850236198164510360461350285372364831785947387382841694980130661290056398395768729751<104>
prime factors 素因数
47211579907345209783386536065091<32>
352091007064452232705688454932089110461872691511398725150686552297151261<72>
factorization results 素因数分解の結果
N=16622772714681033343850236198164510360461350285372364831785947387382841694980130661290056398395768729751
  ( 104 digits)
SNFS difficulty: 113 digits.
Divisors found:
 r1=47211579907345209783386536065091 (pp32)
 r2=352091007064452232705688454932089110461872691511398725150686552297151261 (pp72)
Version: Msieve-1.40
Total time: 1.16 hours.
Scaled time: 2.19 units (timescale=1.894).
Factorization parameters were as follows:
n: 16622772714681033343850236198164510360461350285372364831785947387382841694980130661290056398395768729751
m: 10000000000000000000000
deg: 5
c5: 7100
c0: -53
skew: 0.38
type: snfs
lss: 1
rlim: 550000
alim: 550000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 550000/550000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [275000, 575001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 61515 x 61746
Total sieving time: 1.13 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,113.000,5,0,0,0,0,0,0,0,0,550000,550000,25,25,45,45,2.2,2.2,50000
total time: 1.16 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 17, 2009 14:00:00 UTC 2009 年 12 月 17 日 (木) 23 時 0 分 0 秒 (日本時間)

71×10114-539

c112

name 名前Dmitry Domanov
date 日付December 17, 2009 18:31:05 UTC 2009 年 12 月 18 日 (金) 3 時 31 分 5 秒 (日本時間)
composite number 合成数
2641074284864040471673548339099058884797083658817840270803109771974853996949745192128854666517873749209537626009<112>
prime factors 素因数
56519698895229316188490043104959016857411842457689633<53>
46728385615779825473711854488768379726422437915981202391673<59>
factorization results 素因数分解の結果
N=2641074284864040471673548339099058884797083658817840270803109771974853996949745192128854666517873749209537626009
  ( 112 digits)
SNFS difficulty: 115 digits.
Divisors found:
 r1=56519698895229316188490043104959016857411842457689633 (pp53)
 r2=46728385615779825473711854488768379726422437915981202391673 (pp59)
Version: Msieve-1.40
Total time: 1.53 hours.
Scaled time: 2.87 units (timescale=1.877).
Factorization parameters were as follows:
n: 2641074284864040471673548339099058884797083658817840270803109771974853996949745192128854666517873749209537626009
m: 10000000000000000000000
deg: 5
c5: 710000
c0: -53
skew: 0.15
type: snfs
lss: 1
rlim: 600000
alim: 600000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [300000, 700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 68831 x 69064
Total sieving time: 1.49 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,115.000,5,0,0,0,0,0,0,0,0,600000,600000,25,25,45,45,2.2,2.2,50000
total time: 1.53 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 17, 2009 14:00:00 UTC 2009 年 12 月 17 日 (木) 23 時 0 分 0 秒 (日本時間)

71×10117-539

c91

name 名前Dmitry Domanov
date 日付December 17, 2009 19:18:07 UTC 2009 年 12 月 18 日 (金) 4 時 18 分 7 秒 (日本時間)
composite number 合成数
1016367576385124944414837275702956041270890279227086998560930210620703853098252911119464771<91>
prime factors 素因数
4704278905960870672702840636154862664420573<43>
216051725822903176121266690809152805746919124127<48>
factorization results 素因数分解の結果
12/17/09 22:34:05 v1.14 @ REPGMAIL, starting SIQS on c91: 1016367576385124944414837275702956041270890279227086998560930210620703853098252911119464771
12/17/09 22:34:05 v1.14 @ REPGMAIL, random seeds: 0, 3887612160
12/17/09 22:34:06 v1.14 @ REPGMAIL, ==== sieve params ====
12/17/09 22:34:06 v1.14 @ REPGMAIL, n = 91 digits, 302 bits
12/17/09 22:34:06 v1.14 @ REPGMAIL, factor base: 66328 primes (max prime = 1763191)
12/17/09 22:34:06 v1.14 @ REPGMAIL, single large prime cutoff: 211582920 (120 * pmax)
12/17/09 22:34:06 v1.14 @ REPGMAIL, double large prime range from 43 to 50 bits
12/17/09 22:34:06 v1.14 @ REPGMAIL, double large prime cutoff: 967977118911139
12/17/09 22:34:06 v1.14 @ REPGMAIL, allocating 13 large prime slices of factor base
12/17/09 22:34:06 v1.14 @ REPGMAIL, buckets hold 1024 elements
12/17/09 22:34:06 v1.14 @ REPGMAIL, sieve interval: 22 blocks of size 32768
12/17/09 22:34:06 v1.14 @ REPGMAIL, polynomial A has ~ 12 factors
12/17/09 22:34:06 v1.14 @ REPGMAIL, using multiplier of 5
12/17/09 22:34:06 v1.14 @ REPGMAIL, using small prime variation correction of 21 bits
12/17/09 22:34:06 v1.14 @ REPGMAIL, using SSE2 for trial division and x128 sieve scanning
12/17/09 22:34:06 v1.14 @ REPGMAIL, trial factoring cutoff at 96 bits
12/17/09 22:34:06 v1.14 @ REPGMAIL, ==== sieving started ( 8 threads) ====
12/17/09 22:56:17 v1.14 @ REPGMAIL, trial division touched 29986440 sieve locations out of 34609201938432
12/17/09 22:56:17 v1.14 @ REPGMAIL, 66603 relations found: 18480 full + 48123 from 829499 partial, using 24004296 polys (847 A polys)
12/17/09 22:56:17 v1.14 @ REPGMAIL, on average, sieving found 0.04 rels/poly and 636.88 rels/sec
12/17/09 22:56:17 v1.14 @ REPGMAIL, trial division touched 29986440 sieve locations out of 34609201938432
12/17/09 22:56:17 v1.14 @ REPGMAIL, ==== post processing stage (msieve-1.38) ====
12/17/09 22:56:17 v1.14 @ REPGMAIL, begin with 847979 relations
12/17/09 22:56:18 v1.14 @ REPGMAIL, reduce to 160269 relations in 11 passes
12/17/09 22:56:22 v1.14 @ REPGMAIL, failed to read relation 72710
12/17/09 22:56:28 v1.14 @ REPGMAIL, recovered 160268 relations
12/17/09 22:56:28 v1.14 @ REPGMAIL, recovered 134681 polynomials
12/17/09 22:56:28 v1.14 @ REPGMAIL, attempting to build 66602 cycles
12/17/09 22:56:28 v1.14 @ REPGMAIL, found 66602 cycles in 6 passes
12/17/09 22:56:28 v1.14 @ REPGMAIL, distribution of cycle lengths:
12/17/09 22:56:28 v1.14 @ REPGMAIL,    length 1 : 18480
12/17/09 22:56:28 v1.14 @ REPGMAIL,    length 2 : 13601
12/17/09 22:56:28 v1.14 @ REPGMAIL,    length 3 : 11904
12/17/09 22:56:28 v1.14 @ REPGMAIL,    length 4 : 8618
12/17/09 22:56:28 v1.14 @ REPGMAIL,    length 5 : 5823
12/17/09 22:56:28 v1.14 @ REPGMAIL,    length 6 : 3680
12/17/09 22:56:28 v1.14 @ REPGMAIL,    length 7 : 2109
12/17/09 22:56:28 v1.14 @ REPGMAIL,    length 9+: 2387
12/17/09 22:56:28 v1.14 @ REPGMAIL, largest cycle: 18 relations
12/17/09 22:56:31 v1.14 @ REPGMAIL, matrix is 66328 x 66602 (16.2 MB) with weight 3980066 (59.76/col)
12/17/09 22:56:31 v1.14 @ REPGMAIL, sparse part has weight 3980066 (59.76/col)
12/17/09 22:56:32 v1.14 @ REPGMAIL, filtering completed in 3 passes
12/17/09 22:56:32 v1.14 @ REPGMAIL, matrix is 61864 x 61928 (15.2 MB) with weight 3735380 (60.32/col)
12/17/09 22:56:32 v1.14 @ REPGMAIL, sparse part has weight 3735380 (60.32/col)
12/17/09 22:56:32 v1.14 @ REPGMAIL, saving the first 48 matrix rows for later
12/17/09 22:56:32 v1.14 @ REPGMAIL, matrix is 61816 x 61928 (12.9 MB) with weight 3247323 (52.44/col)
12/17/09 22:56:32 v1.14 @ REPGMAIL, sparse part has weight 3019707 (48.76/col)
12/17/09 22:56:32 v1.14 @ REPGMAIL, matrix includes 64 packed rows
12/17/09 22:56:32 v1.14 @ REPGMAIL, using block size 24771 for processor cache size 6144 kB
12/17/09 22:56:33 v1.14 @ REPGMAIL, commencing Lanczos iteration
12/17/09 22:56:33 v1.14 @ REPGMAIL, memory use: 11.0 MB
12/17/09 22:57:01 v1.14 @ REPGMAIL, lanczos halted after 979 iterations (dim = 61812)
12/17/09 22:57:02 v1.14 @ REPGMAIL, recovered 16 nontrivial dependencies
12/17/09 22:57:04 v1.14 @ REPGMAIL, prp43 = 4704278905960870672702840636154862664420573
12/17/09 22:57:06 v1.14 @ REPGMAIL, prp48 = 216051725822903176121266690809152805746919124127
12/17/09 22:57:06 v1.14 @ REPGMAIL, Lanczos elapsed time = 44.6400 seconds.
12/17/09 22:57:06 v1.14 @ REPGMAIL, Sqrt elapsed time = 4.2340 seconds.
12/17/09 22:57:06 v1.14 @ REPGMAIL, SIQS elapsed time = 1380.3237 seconds.
software ソフトウェア
YAFU v1.14

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 17, 2009 14:00:00 UTC 2009 年 12 月 17 日 (木) 23 時 0 分 0 秒 (日本時間)

71×10120-539

c120

name 名前Dmitry Domanov
date 日付December 17, 2009 18:47:58 UTC 2009 年 12 月 18 日 (金) 3 時 47 分 58 秒 (日本時間)
composite number 合成数
133709981167608286252354048964218455743879472693032015065913370998116760828625235404896421845574387947269303201506591337<120>
prime factors 素因数
2214181774753291992262900298930816059454662351<46>
60387987423709368360648898963089341431741881661843328297994020494593986887<74>
factorization results 素因数分解の結果
N=133709981167608286252354048964218455743879472693032015065913370998116760828625235404896421845574387947269303201506591337
  ( 120 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=2214181774753291992262900298930816059454662351 (pp46)
 r2=60387987423709368360648898963089341431741881661843328297994020494593986887 (pp74)
Version: Msieve-1.40
Total time: 1.30 hours.
Scaled time: 2.52 units (timescale=1.934).
Factorization parameters were as follows:
n: 133709981167608286252354048964218455743879472693032015065913370998116760828625235404896421845574387947269303201506591337
m: 1000000000000000000000000
deg: 5
c5: 71
c0: -53
skew: 0.94
type: snfs
lss: 1
rlim: 750000
alim: 750000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor base limits: 750000/750000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [375000, 675001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 73350 x 73577
Total sieving time: 1.27 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,121.000,5,0,0,0,0,0,0,0,0,750000,750000,25,25,46,46,2.2,2.2,50000
total time: 1.30 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
3025e40--
351e6118 / 904Makoto KamadaDecember 17, 2009 14:00:00 UTC 2009 年 12 月 17 日 (木) 23 時 0 分 0 秒 (日本時間)

71×10121-539

c113

name 名前Dmitry Domanov
date 日付December 17, 2009 22:06:20 UTC 2009 年 12 月 18 日 (金) 7 時 6 分 20 秒 (日本時間)
composite number 合成数
20492406699274351032060072910217225536645754047004998692822135641463339761256101427317966891992832342738951234899<113>
prime factors 素因数
3100375569266222976004203131079653569034995145663653<52>
6609653005401652853305308565447112625996842016862736480888983<61>
factorization results 素因数分解の結果
N=20492406699274351032060072910217225536645754047004998692822135641463339761256101427317966891992832342738951234899
  ( 113 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=3100375569266222976004203131079653569034995145663653 (pp52)
 r2=6609653005401652853305308565447112625996842016862736480888983 (pp61)
Version: Msieve-1.40
Total time: 1.87 hours.
Scaled time: 3.54 units (timescale=1.894).
Factorization parameters were as follows:
n: 20492406699274351032060072910217225536645754047004998692822135641463339761256101427317966891992832342738951234899
m: 1000000000000000000000000
deg: 5
c5: 710
c0: -53
skew: 0.60
type: snfs
lss: 1
rlim: 780000
alim: 780000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor base limits: 780000/780000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [390000, 840001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 92638 x 92863
Total sieving time: 1.81 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,122.000,5,0,0,0,0,0,0,0,0,780000,780000,25,25,46,46,2.2,2.2,50000
total time: 1.87 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 17, 2009 14:00:00 UTC 2009 年 12 月 17 日 (木) 23 時 0 分 0 秒 (日本時間)

71×10128-539

c121

name 名前Dmitry Domanov
date 日付December 17, 2009 19:51:54 UTC 2009 年 12 月 18 日 (金) 4 時 51 分 54 秒 (日本時間)
composite number 合成数
4175747822782582172672610354365328861810822794603033200758691974801465054889408209589736969803438969113914787009215823101<121>
prime factors 素因数
165003680788079684382461700620601145550349398065163<51>
25306998018702680821578149424957973175262997834761086043278516609659927<71>
factorization results 素因数分解の結果
N=4175747822782582172672610354365328861810822794603033200758691974801465054889408209589736969803438969113914787009215823101
  ( 121 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=165003680788079684382461700620601145550349398065163 (pp51)
 r2=25306998018702680821578149424957973175262997834761086043278516609659927 (pp71)
Version: Msieve-1.40
Total time: 2.54 hours.
Scaled time: 4.90 units (timescale=1.928).
Factorization parameters were as follows:
n: 4175747822782582172672610354365328861810822794603033200758691974801465054889408209589736969803438969113914787009215823101
m: 10000000000000000000000000
deg: 5
c5: 71000
c0: -53
skew: 0.24
type: snfs
lss: 1
rlim: 1020000
alim: 1020000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1020000/1020000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [510000, 1060001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 162277 x 162502
Total sieving time: 2.44 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,129.000,5,0,0,0,0,0,0,0,0,1020000,1020000,26,26,47,47,2.3,2.3,50000
total time: 2.54 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 17, 2009 14:00:00 UTC 2009 年 12 月 17 日 (木) 23 時 0 分 0 秒 (日本時間)

71×10131-539

c132

name 名前Dmitry Domanov
date 日付December 17, 2009 20:31:30 UTC 2009 年 12 月 18 日 (金) 5 時 31 分 30 秒 (日本時間)
composite number 合成数
262962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962961<132>
prime factors 素因数
196715840065308398795279369007364211116917928283<48>
1336765574524455904141319038788517795589445839396460183951749385129955666167430296067<85>
factorization results 素因数分解の結果
N=262962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962961
  ( 132 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=196715840065308398795279369007364211116917928283 (pp48)
 r2=1336765574524455904141319038788517795589445839396460183951749385129955666167430296067 (pp85)
Version: Msieve-1.40
Total time: 3.13 hours.
Scaled time: 5.94 units (timescale=1.899).
Factorization parameters were as follows:
n: 262962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962961
m: 100000000000000000000000000
deg: 5
c5: 710
c0: -53
skew: 0.60
type: snfs
lss: 1
rlim: 1150000
alim: 1150000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1150000/1150000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [575000, 1225001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 185212 x 185437
Total sieving time: 3.00 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,132.000,5,0,0,0,0,0,0,0,0,1150000,1150000,26,26,47,47,2.3,2.3,50000
total time: 3.13 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 17, 2009 14:00:00 UTC 2009 年 12 月 17 日 (木) 23 時 0 分 0 秒 (日本時間)

71×10132-539

c133

name 名前Dmitry Domanov
date 日付December 17, 2009 21:40:16 UTC 2009 年 12 月 18 日 (金) 6 時 40 分 16 秒 (日本時間)
composite number 合成数
7888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883<133>
prime factors 素因数
517214393087147489390495048364390108944880537532928038319981<60>
15252647633801751029471431177710620169842615413914822823473476439081203743<74>
factorization results 素因数分解の結果
N=7888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883
  ( 133 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=517214393087147489390495048364390108944880537532928038319981 (pp60)
 r2=15252647633801751029471431177710620169842615413914822823473476439081203743 (pp74)
Version: Msieve-1.40
Total time: 3.53 hours.
Scaled time: 6.41 units (timescale=1.818).
Factorization parameters were as follows:
n: 7888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883
m: 100000000000000000000000000
deg: 5
c5: 7100
c0: -53
skew: 0.38
type: snfs
lss: 1
rlim: 1190000
alim: 1190000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1190000/1190000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [595000, 1345001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 205361 x 205586
Total sieving time: 3.43 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,133.000,5,0,0,0,0,0,0,0,0,1190000,1190000,26,26,47,47,2.3,2.3,75000
total time: 3.53 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 17, 2009 14:00:00 UTC 2009 年 12 月 17 日 (木) 23 時 0 分 0 秒 (日本時間)

71×10134-539

c120

name 名前Dmitry Domanov
date 日付December 18, 2009 00:16:28 UTC 2009 年 12 月 18 日 (金) 9 時 16 分 28 秒 (日本時間)
composite number 合成数
210635791908562071728644557621682794294921668230253551186820616199446384520540884426027237215207303593232937643026266281<120>
prime factors 素因数
3749028001261114267397282247344700583630333114637<49>
56184107410696183723363555425171112886122517296076068553504744503648013<71>
factorization results 素因数分解の結果
N=210635791908562071728644557621682794294921668230253551186820616199446384520540884426027237215207303593232937643026266281
  ( 120 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=3749028001261114267397282247344700583630333114637 (pp49)
 r2=56184107410696183723363555425171112886122517296076068553504744503648013 (pp71)
Version: Msieve-1.40
Total time: 4.59 hours.
Scaled time: 8.74 units (timescale=1.905).
Factorization parameters were as follows:
n: 210635791908562071728644557621682794294921668230253551186820616199446384520540884426027237215207303593232937643026266281
m: 100000000000000000000000000
deg: 5
c5: 710000
c0: -53
skew: 0.15
type: snfs
lss: 1
rlim: 1290000
alim: 1290000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1290000/1290000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [645000, 1620001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 231832 x 232057
Total sieving time: 4.41 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,135.000,5,0,0,0,0,0,0,0,0,1290000,1290000,26,26,47,47,2.3,2.3,75000
total time: 4.59 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 17, 2009 14:00:00 UTC 2009 年 12 月 17 日 (木) 23 時 0 分 0 秒 (日本時間)

71×10135-539

c136

name 名前Dmitry Domanov
date 日付December 18, 2009 06:40:02 UTC 2009 年 12 月 18 日 (金) 15 時 40 分 2 秒 (日本時間)
composite number 合成数
7888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883<136>
prime factors 素因数
6745880366212108691779530567928483529559329688486999836127929329<64>
1169438006698389308964930379145889791962225646934827427481335042336893027<73>
factorization results 素因数分解の結果
N=7888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883
  ( 136 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=6745880366212108691779530567928483529559329688486999836127929329 (pp64)
 r2=1169438006698389308964930379145889791962225646934827427481335042336893027 (pp73)
Version: Msieve-1.40
Total time: 3.20 hours.
Scaled time: 6.27 units (timescale=1.958).
Factorization parameters were as follows:
n: 7888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883
m: 1000000000000000000000000000
deg: 5
c5: 71
c0: -53
skew: 0.94
type: snfs
lss: 1
rlim: 1340000
alim: 1340000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1340000/1340000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [670000, 1270001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 185613 x 185840
Total sieving time: 2.99 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,136.000,5,0,0,0,0,0,0,0,0,1340000,1340000,26,26,48,48,2.3,2.3,75000
total time: 3.20 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 17, 2009 14:00:00 UTC 2009 年 12 月 17 日 (木) 23 時 0 分 0 秒 (日本時間)

71×10136-539

c126

name 名前Dmitry Domanov
date 日付December 18, 2009 07:46:36 UTC 2009 年 12 月 18 日 (金) 16 時 46 分 36 秒 (日本時間)
composite number 合成数
216809851583473676705627523909375219620660574439738030217619127587489482104551329168343620455085044000722121819194881943871273<126>
prime factors 素因数
954769764248960953148801851587662128903<39>
227080768266703753928456788022703634642399994316630471933625214253812105368451884403791<87>
factorization results 素因数分解の結果
Number: ass5
N=216809851583473676705627523909375219620660574439738030217619127587489482104551329168343620455085044000722121819194881943871273
  ( 126 digits)
SNFS difficulty: 137 digits.
Divisors found:
r1=954769764248960953148801851587662128903 (pp39)
r2=227080768266703753928456788022703634642399994316630471933625214253812105368451884403791 (pp87)
Version: Msieve-1.40
Total time: 13.24 hours.
Scaled time: 25.08 units (timescale=1.894).
Factorization parameters were as follows:
n: 216809851583473676705627523909375219620660574439738030217619127587489482104551329168343620455085044000722121819194881943871273
m: 1000000000000000000000000000
deg: 5
c5: 710
c0: -53
skew: 0.60
type: snfs
lss: 1
rlim: 1390000
alim: 1390000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1390000/1390000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [695000, 1595001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 244174 x 244400
Total sieving time: 12.77 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.27 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,137.000,5,0,0,0,0,0,0,0,0,1390000,1390000,26,26,48,48,2.3,2.3,75000
total time: 13.24 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 17, 2009 14:00:00 UTC 2009 年 12 月 17 日 (木) 23 時 0 分 0 秒 (日本時間)

71×10137-539

c114

name 名前juno1369
date 日付December 26, 2009 02:25:45 UTC 2009 年 12 月 26 日 (土) 11 時 25 分 45 秒 (日本時間)
composite number 合成数
163262286629755842749264899133973489972910643771041742794018259519611687324709943115531731693939442113292017268631<114>
prime factors 素因数
497338274574517430075176129186594377221125453<45>
328272113722656687403829731159683520949633917603574352244659948723827<69>
factorization results 素因数分解の結果
Number: 78883_137
N=163262286629755842749264899133973489972910643771041742794018259519611687324709943115531731693939442113292017268631
  ( 114 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=497338274574517430075176129186594377221125453 (pp45)
 r2=328272113722656687403829731159683520949633917603574352244659948723827 (pp69)
Version: Msieve v. 1.43
Total time: 10.80 hours.
Scaled time: 23.30 units (timescale=2.158).
Factorization parameters were as follows:
n: 163262286629755842749264899133973489972910643771041742794018259519611687324709943115531731693939442113292017268631 
m: 1000000000000000000000000000
deg: 5
c5: 7100
c0: -53
skew: 0.38 
type: snfs 
lss: 1 
rlim: 1440000 
alim: 1440000 
lpbr: 26 
lpba: 26 
mfbr: 48 
mfba: 48 
rlambda: 2.3 
alambda: 2.3 
qintsize: 100000Factor base limits: 1440000/1440000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [720000, 1220001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 221440 x 221665
Total sieving time: 10.59 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs ,138.000,5,0,0,0,0,0,0,0,0,1440000,1440000,26,26,48,48,2.3,2.3,
total time: 10.80 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS+Msieve v1.43
execution environment 実行環境
Windows Vista, Pentium Edition

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6805 / 904118Makoto KamadaDecember 17, 2009 14:00:00 UTC 2009 年 12 月 17 日 (木) 23 時 0 分 0 秒 (日本時間)
687milotickzDecember 22, 2009 03:42:19 UTC 2009 年 12 月 22 日 (火) 12 時 42 分 19 秒 (日本時間)

71×10138-539

c114

name 名前juno1369
date 日付December 26, 2009 12:34:07 UTC 2009 年 12 月 26 日 (土) 21 時 34 分 7 秒 (日本時間)
composite number 合成数
731236940368994714565704238447233851060682074228769030364565102172640486050475266877178494695869713470771586511187<114>
prime factors 素因数
419162038746174165070948225788357647335121<42>
1744520907848239545736800443327766019464664837271375568832178853070200547<73>
factorization results 素因数分解の結果
Number: 78883_138
N=731236940368994714565704238447233851060682074228769030364565102172640486050475266877178494695869713470771586511187
  ( 114 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=419162038746174165070948225788357647335121 (pp42)
 r2=1744520907848239545736800443327766019464664837271375568832178853070200547 (pp73)
Version: Msieve v. 1.43
Total time: 12.73 hours.
Scaled time: 27.29 units (timescale=2.144).
Factorization parameters were as follows:
n: 731236940368994714565704238447233851060682074228769030364565102172640486050475266877178494695869713470771586511187
m: 1000000000000000000000000000
deg: 5
c5: 71000
c0: -53
skew: 0.24 
type: snfs 
lss: 1 
rlim: 1500000 
alim: 1500000 
lpbr: 26 
lpba: 26 
mfbr: 48 
mfba: 48 
rlambda: 2.3 
alambda: 2.3 
qintsize: 100000Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [750000, 1350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 210289 x 210514
Total sieving time: 12.46 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs ,139.000,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,48,48,2.3,2.3,
total time: 12.73 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 17, 2009 14:00:00 UTC 2009 年 12 月 17 日 (木) 23 時 0 分 0 秒 (日本時間)

71×10139-539

c131

name 名前Sinkiti Sibata
date 日付December 18, 2009 13:01:48 UTC 2009 年 12 月 18 日 (金) 22 時 1 分 48 秒 (日本時間)
composite number 合成数
98466527416329865342099044945593829865051900159567185036585696616288221989272330624667141271722996879681592346183621092890785827401<131>
prime factors 素因数
14659793272247047053381486853609<32>
68028420190133278374253607086763647043<38>
98734831756079313401932916138550660196735650678372000189629323<62>
factorization results 素因数分解の結果
Number: 78883_139
N=98466527416329865342099044945593829865051900159567185036585696616288221989272330624667141271722996879681592346183621092890785827401
  ( 131 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=14659793272247047053381486853609 (pp32)
 r2=68028420190133278374253607086763647043 (pp38)
 r3=98734831756079313401932916138550660196735650678372000189629323 (pp62)
Version: Msieve v. 1.42
Total time: 0.62 hours.
Scaled time: 0.50 units (timescale=0.796).
Factorization parameters were as follows:
name: 78883_139
n: 98466527416329865342099044945593829865051900159567185036585696616288221989272330624667141271722996879681592346183621092890785827401
m: 1000000000000000000000000000
deg: 5
c5: 710000
c0: -53
skew: 0.15
type: snfs
lss: 1
rlim: 1560000
alim: 1560000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1560000/1560000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [780000, 2180001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 306659 x 306907
Total sieving time: 0.00 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.30 hours.
Time per square root: 0.28 hours.
Prototype def-par.txt line would be:
snfs,140.000,5,0,0,0,0,0,0,0,0,1560000,1560000,26,26,48,48,2.3,2.3,100000
total time: 0.62 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.. 3721.30 BogoMIPS (lpj=1860651)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860572)
Total of 2 processors activated (7442.44 BogoMIPS).

Total time: 8 hours 14 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 17, 2009 14:00:00 UTC 2009 年 12 月 17 日 (木) 23 時 0 分 0 秒 (日本時間)

71×10141-539

c125

name 名前Sinkiti Sibata
date 日付December 18, 2009 23:23:10 UTC 2009 年 12 月 19 日 (土) 8 時 23 分 10 秒 (日本時間)
composite number 合成数
33748636861929148339334334363836166800737368700426691036330973643596267989705810764371598304678331614234259024551154002803589<125>
prime factors 素因数
1028967226993553793418908374844708409590884949523<49>
32798553711507640264348032595324966676169736366141269700962862828462355796743<77>
factorization results 素因数分解の結果
Number: 78883_141
N=33748636861929148339334334363836166800737368700426691036330973643596267989705810764371598304678331614234259024551154002803589
  ( 125 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=1028967226993553793418908374844708409590884949523 (pp49)
 r2=32798553711507640264348032595324966676169736366141269700962862828462355796743 (pp77)
Version: Msieve-1.40
Total time: 8.15 hours.
Scaled time: 27.07 units (timescale=3.322).
Factorization parameters were as follows:
name: 78883_141
n: 33748636861929148339334334363836166800737368700426691036330973643596267989705810764371598304678331614234259024551154002803589
m: 10000000000000000000000000000
deg: 5
c5: 710
c0: -53
skew: 0.60
type: snfs
lss: 1
rlim: 1680000
alim: 1680000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1680000/1680000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [840000, 2240001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 293687 x 293935
Total sieving time: 7.94 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,142.000,5,0,0,0,0,0,0,0,0,1680000,1680000,26,26,48,48,2.3,2.3,100000
total time: 8.15 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 17, 2009 14:00:00 UTC 2009 年 12 月 17 日 (木) 23 時 0 分 0 秒 (日本時間)

71×10142-539

c122

name 名前Sinkiti Sibata
date 日付December 19, 2009 09:08:09 UTC 2009 年 12 月 19 日 (土) 18 時 8 分 9 秒 (日本時間)
composite number 合成数
89567579972411332167997785100721330165586386507326808361935784453289559482928541490572916963000743105308267240364502128227<122>
prime factors 素因数
386490477254802054771629653876754876141479<42>
231745890891283210023353126279632762290504685320045999233520726993901299486391013<81>
factorization results 素因数分解の結果
Number: 78883_142
N=89567579972411332167997785100721330165586386507326808361935784453289559482928541490572916963000743105308267240364502128227
  ( 122 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=386490477254802054771629653876754876141479 (pp42)
 r2=231745890891283210023353126279632762290504685320045999233520726993901299486391013 (pp81)
Version: Msieve-1.40
Total time: 8.84 hours.
Scaled time: 29.36 units (timescale=3.322).
Factorization parameters were as follows:
name: 78883_142
n: 89567579972411332167997785100721330165586386507326808361935784453289559482928541490572916963000743105308267240364502128227
m: 10000000000000000000000000000
deg: 5
c5: 7100
c0: -53
skew: 0.38
type: snfs
lss: 1
rlim: 1750000
alim: 1750000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1750000/1750000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [875000, 2375001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 326827 x 327075
Total sieving time: 8.56 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.20 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,143.000,5,0,0,0,0,0,0,0,0,1750000,1750000,26,26,48,48,2.3,2.3,100000
total time: 8.84 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 17, 2009 14:00:00 UTC 2009 年 12 月 17 日 (木) 23 時 0 分 0 秒 (日本時間)

71×10143-539

c90

name 名前Erik Branger
date 日付December 17, 2009 20:34:28 UTC 2009 年 12 月 18 日 (金) 5 時 34 分 28 秒 (日本時間)
composite number 合成数
153033067604464838667101747728037243338673247578173298965964268593285084430575079814093777<90>
prime factors 素因数
153780535368606699808334225196851<33>
995139386383652479833893377455100373087666602506469998827<57>
factorization results 素因数分解の結果
Thu Dec 17 19:27:30 2009  Msieve v. 1.43
Thu Dec 17 19:27:30 2009  random seeds: 914d6de8 98ee6a6a
Thu Dec 17 19:27:30 2009  factoring 153033067604464838667101747728037243338673247578173298965964268593285084430575079814093777 (90 digits)
Thu Dec 17 19:27:31 2009  searching for 15-digit factors
Thu Dec 17 19:27:32 2009  commencing quadratic sieve (90-digit input)
Thu Dec 17 19:27:32 2009  using multiplier of 73
Thu Dec 17 19:27:32 2009  using 64kb Pentium 4 sieve core
Thu Dec 17 19:27:32 2009  sieve interval: 18 blocks of size 65536
Thu Dec 17 19:27:32 2009  processing polynomials in batches of 6
Thu Dec 17 19:27:32 2009  using a sieve bound of 1575281 (59405 primes)
Thu Dec 17 19:27:32 2009  using large prime bound of 126022480 (26 bits)
Thu Dec 17 19:27:32 2009  using double large prime bound of 380896014563600 (42-49 bits)
Thu Dec 17 19:27:32 2009  using trial factoring cutoff of 49 bits
Thu Dec 17 19:27:32 2009  polynomial 'A' values have 12 factors
Thu Dec 17 21:28:20 2009  60034 relations (16546 full + 43488 combined from 628080 partial), need 59501
Thu Dec 17 21:28:22 2009  begin with 644626 relations
Thu Dec 17 21:28:23 2009  reduce to 144631 relations in 10 passes
Thu Dec 17 21:28:23 2009  attempting to read 144631 relations
Thu Dec 17 21:28:28 2009  recovered 144631 relations
Thu Dec 17 21:28:28 2009  recovered 123342 polynomials
Thu Dec 17 21:28:28 2009  attempting to build 60034 cycles
Thu Dec 17 21:28:28 2009  found 60033 cycles in 5 passes
Thu Dec 17 21:28:28 2009  distribution of cycle lengths:
Thu Dec 17 21:28:28 2009     length 1 : 16546
Thu Dec 17 21:28:28 2009     length 2 : 11699
Thu Dec 17 21:28:28 2009     length 3 : 10471
Thu Dec 17 21:28:28 2009     length 4 : 7896
Thu Dec 17 21:28:28 2009     length 5 : 5549
Thu Dec 17 21:28:28 2009     length 6 : 3432
Thu Dec 17 21:28:28 2009     length 7 : 2116
Thu Dec 17 21:28:28 2009     length 9+: 2324
Thu Dec 17 21:28:28 2009  largest cycle: 18 relations
Thu Dec 17 21:28:29 2009  matrix is 59405 x 60033 (14.5 MB) with weight 3561514 (59.33/col)
Thu Dec 17 21:28:29 2009  sparse part has weight 3561514 (59.33/col)
Thu Dec 17 21:28:30 2009  filtering completed in 3 passes
Thu Dec 17 21:28:30 2009  matrix is 55134 x 55198 (13.3 MB) with weight 3276690 (59.36/col)
Thu Dec 17 21:28:30 2009  sparse part has weight 3276690 (59.36/col)
Thu Dec 17 21:28:30 2009  saving the first 48 matrix rows for later
Thu Dec 17 21:28:30 2009  matrix is 55086 x 55198 (8.4 MB) with weight 2562204 (46.42/col)
Thu Dec 17 21:28:30 2009  sparse part has weight 1871413 (33.90/col)
Thu Dec 17 21:28:30 2009  matrix includes 64 packed rows
Thu Dec 17 21:28:30 2009  using block size 21845 for processor cache size 512 kB
Thu Dec 17 21:28:31 2009  commencing Lanczos iteration
Thu Dec 17 21:28:31 2009  memory use: 8.6 MB
Thu Dec 17 21:28:57 2009  lanczos halted after 872 iterations (dim = 55084)
Thu Dec 17 21:28:57 2009  recovered 17 nontrivial dependencies
Thu Dec 17 21:28:58 2009  prp33 factor: 153780535368606699808334225196851
Thu Dec 17 21:28:58 2009  prp57 factor: 995139386383652479833893377455100373087666602506469998827
Thu Dec 17 21:28:58 2009  elapsed time 02:01:28
software ソフトウェア
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 17, 2009 14:00:00 UTC 2009 年 12 月 17 日 (木) 23 時 0 分 0 秒 (日本時間)

71×10146-539

c95

name 名前Erik Branger
date 日付December 17, 2009 22:55:39 UTC 2009 年 12 月 18 日 (金) 7 時 55 分 39 秒 (日本時間)
composite number 合成数
47477153077019301591159437118623653232470390621832433349503030875070890539062923001884709410623<95>
prime factors 素因数
90043846252206546356078001486191<32>
527267048811299110914254879692935600567639860720341154915317553<63>
factorization results 素因数分解の結果
Number: 78883_146
N=47477153077019301591159437118623653232470390621832433349503030875070890539062923001884709410623
  ( 95 digits)
Divisors found:
 r1=90043846252206546356078001486191 (pp32)
 r2=527267048811299110914254879692935600567639860720341154915317553 (pp63)
Version: Msieve v. 1.43
Total time: 3.39 hours.
Scaled time: 3.11 units (timescale=0.917).
Factorization parameters were as follows:
n: 47477153077019301591159437118623653232470390621832433349503030875070890539062923001884709410623
# Murphy_E = 2.199459e-008
skew: 821603.19
Y0: -59297521755283477345156
Y1: 2701252515379
c0: -412061918369381128218326745
c1: 525673834041331095722
c2: -1165956053512201
c3: 1411579704
c4: 3840
type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [600000, 840001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 141600 x 141825
Total sieving time: 3.14 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
gnfs,94,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 3.39 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 17, 2009 14:00:00 UTC 2009 年 12 月 17 日 (木) 23 時 0 分 0 秒 (日本時間)

71×10148-539

c147

name 名前Dmitry Domanov
date 日付December 18, 2009 12:36:37 UTC 2009 年 12 月 18 日 (金) 21 時 36 分 37 秒 (日本時間)
composite number 合成数
109415934658653105255047002619818153798736323008167668361843119124672522730775157959623979041454769610109415934658653105255047002619818153798736323<147>
prime factors 素因数
4623071854794763055981863186790303195310782012328269473558183<61>
23667366222130787792273066730206177697377235694310735886378311300462181777177208904581<86>
factorization results 素因数分解の結果
Fri Dec 18 14:56:52 2009  Msieve v. 1.42
Fri Dec 18 14:56:52 2009  random seeds: 802eda00 a82eb800
Fri Dec 18 14:56:52 2009  factoring 109415934658653105255047002619818153798736323008167668361843119124672522730775157959623979041454769610109415934658653105255047002619818153798736323 (147 digits)
Fri Dec 18 14:56:53 2009  searching for 15-digit factors
Fri Dec 18 14:56:54 2009  commencing number field sieve (147-digit input)
Fri Dec 18 14:56:54 2009  R0: -100000000000000000000000000000
Fri Dec 18 14:56:54 2009  R1:  1
Fri Dec 18 14:56:54 2009  A0: -53
Fri Dec 18 14:56:54 2009  A1:  0
Fri Dec 18 14:56:54 2009  A2:  0
Fri Dec 18 14:56:54 2009  A3:  0
Fri Dec 18 14:56:54 2009  A4:  0
Fri Dec 18 14:56:54 2009  A5:  71000
Fri Dec 18 14:56:54 2009  skew 0.24, size 6.808355e-011, alpha 0.102333, combined = 1.009260e-009
Fri Dec 18 14:56:54 2009  
Fri Dec 18 14:56:54 2009  commencing relation filtering
Fri Dec 18 14:56:54 2009  estimated available RAM is 4096.0 MB
Fri Dec 18 14:56:54 2009  commencing duplicate removal, pass 1
Fri Dec 18 14:57:39 2009  found 1113252 hash collisions in 5720106 relations
Fri Dec 18 14:57:49 2009  added 1576 free relations
Fri Dec 18 14:57:49 2009  commencing duplicate removal, pass 2
Fri Dec 18 14:57:58 2009  found 1143824 duplicates and 4577857 unique relations
Fri Dec 18 14:57:58 2009  memory use: 26.6 MB
Fri Dec 18 14:57:58 2009  reading ideals above 100000
Fri Dec 18 14:57:58 2009  commencing singleton removal, initial pass
Fri Dec 18 14:58:48 2009  memory use: 74.6 MB
Fri Dec 18 14:58:49 2009  reading all ideals from disk
Fri Dec 18 14:58:49 2009  memory use: 151.9 MB
Fri Dec 18 14:58:49 2009  keeping 5077417 ideals with weight <= 200, target excess is 24183
Fri Dec 18 14:58:50 2009  commencing in-memory singleton removal
Fri Dec 18 14:58:50 2009  begin with 4577857 relations and 5077417 unique ideals
Fri Dec 18 14:58:55 2009  reduce to 1888309 relations and 1753238 ideals in 15 passes
Fri Dec 18 14:58:55 2009  max relations containing the same ideal: 113
Fri Dec 18 14:58:56 2009  removing 326014 relations and 272505 ideals in 53509 cliques
Fri Dec 18 14:58:56 2009  commencing in-memory singleton removal
Fri Dec 18 14:58:56 2009  begin with 1562295 relations and 1753238 unique ideals
Fri Dec 18 14:58:58 2009  reduce to 1528026 relations and 1445324 ideals in 7 passes
Fri Dec 18 14:58:58 2009  max relations containing the same ideal: 95
Fri Dec 18 14:58:58 2009  removing 245675 relations and 192166 ideals in 53509 cliques
Fri Dec 18 14:58:59 2009  commencing in-memory singleton removal
Fri Dec 18 14:58:59 2009  begin with 1282351 relations and 1445324 unique ideals
Fri Dec 18 14:58:59 2009  reduce to 1257014 relations and 1226970 ideals in 7 passes
Fri Dec 18 14:58:59 2009  max relations containing the same ideal: 85
Fri Dec 18 14:59:00 2009  relations with 0 large ideals: 577
Fri Dec 18 14:59:00 2009  relations with 1 large ideals: 164
Fri Dec 18 14:59:00 2009  relations with 2 large ideals: 2220
Fri Dec 18 14:59:00 2009  relations with 3 large ideals: 18794
Fri Dec 18 14:59:00 2009  relations with 4 large ideals: 86118
Fri Dec 18 14:59:00 2009  relations with 5 large ideals: 224100
Fri Dec 18 14:59:00 2009  relations with 6 large ideals: 364557
Fri Dec 18 14:59:00 2009  relations with 7+ large ideals: 560484
Fri Dec 18 14:59:00 2009  commencing 2-way merge
Fri Dec 18 14:59:01 2009  reduce to 799629 relation sets and 769585 unique ideals
Fri Dec 18 14:59:01 2009  commencing full merge
Fri Dec 18 14:59:23 2009  memory use: 87.9 MB
Fri Dec 18 14:59:23 2009  found 402653 cycles, need 397785
Fri Dec 18 14:59:23 2009  weight of 397785 cycles is about 28219113 (70.94/cycle)
Fri Dec 18 14:59:23 2009  distribution of cycle lengths:
Fri Dec 18 14:59:23 2009  1 relations: 33585
Fri Dec 18 14:59:23 2009  2 relations: 41457
Fri Dec 18 14:59:23 2009  3 relations: 43885
Fri Dec 18 14:59:23 2009  4 relations: 41345
Fri Dec 18 14:59:23 2009  5 relations: 38853
Fri Dec 18 14:59:23 2009  6 relations: 34460
Fri Dec 18 14:59:23 2009  7 relations: 30544
Fri Dec 18 14:59:23 2009  8 relations: 26123
Fri Dec 18 14:59:23 2009  9 relations: 22197
Fri Dec 18 14:59:23 2009  10+ relations: 85336
Fri Dec 18 14:59:23 2009  heaviest cycle: 23 relations
Fri Dec 18 14:59:23 2009  commencing cycle optimization
Fri Dec 18 14:59:24 2009  start with 2542001 relations
Fri Dec 18 14:59:31 2009  pruned 75418 relations
Fri Dec 18 14:59:31 2009  memory use: 62.5 MB
Fri Dec 18 14:59:31 2009  distribution of cycle lengths:
Fri Dec 18 14:59:31 2009  1 relations: 33585
Fri Dec 18 14:59:31 2009  2 relations: 42324
Fri Dec 18 14:59:31 2009  3 relations: 45477
Fri Dec 18 14:59:31 2009  4 relations: 42542
Fri Dec 18 14:59:31 2009  5 relations: 40031
Fri Dec 18 14:59:31 2009  6 relations: 35283
Fri Dec 18 14:59:31 2009  7 relations: 31283
Fri Dec 18 14:59:31 2009  8 relations: 26361
Fri Dec 18 14:59:31 2009  9 relations: 22186
Fri Dec 18 14:59:31 2009  10+ relations: 78713
Fri Dec 18 14:59:31 2009  heaviest cycle: 23 relations
Fri Dec 18 14:59:32 2009  RelProcTime: 158
Fri Dec 18 14:59:32 2009  
Fri Dec 18 14:59:32 2009  commencing linear algebra
Fri Dec 18 14:59:32 2009  read 397785 cycles
Fri Dec 18 14:59:32 2009  cycles contain 1226470 unique relations
Fri Dec 18 15:00:02 2009  read 1226470 relations
Fri Dec 18 15:00:03 2009  using 20 quadratic characters above 67107968
Fri Dec 18 15:00:10 2009  building initial matrix
Fri Dec 18 15:00:24 2009  memory use: 134.1 MB
Fri Dec 18 15:00:24 2009  read 397785 cycles
Fri Dec 18 15:00:36 2009  matrix is 397608 x 397785 (113.2 MB) with weight 35897815 (90.24/col)
Fri Dec 18 15:00:36 2009  sparse part has weight 26902376 (67.63/col)
Fri Dec 18 15:00:39 2009  filtering completed in 2 passes
Fri Dec 18 15:00:40 2009  matrix is 397460 x 397637 (113.2 MB) with weight 35892088 (90.26/col)
Fri Dec 18 15:00:40 2009  sparse part has weight 26900033 (67.65/col)
Fri Dec 18 15:00:41 2009  read 397637 cycles
Fri Dec 18 15:01:23 2009  matrix is 397460 x 397637 (113.2 MB) with weight 35892088 (90.26/col)
Fri Dec 18 15:01:23 2009  sparse part has weight 26900033 (67.65/col)
Fri Dec 18 15:01:23 2009  saving the first 48 matrix rows for later
Fri Dec 18 15:01:24 2009  matrix is 397412 x 397637 (106.4 MB) with weight 28341079 (71.27/col)
Fri Dec 18 15:01:24 2009  sparse part has weight 25515877 (64.17/col)
Fri Dec 18 15:01:24 2009  matrix includes 64 packed rows
Fri Dec 18 15:01:24 2009  using block size 65536 for processor cache size 6144 kB
Fri Dec 18 15:01:27 2009  commencing Lanczos iteration (6 threads)
Fri Dec 18 15:01:27 2009  memory use: 123.9 MB
Fri Dec 18 15:11:30 2009  lanczos halted after 6286 iterations (dim = 397412)
Fri Dec 18 15:11:31 2009  recovered 37 nontrivial dependencies
Fri Dec 18 15:11:31 2009  BLanczosTime: 719
Fri Dec 18 15:11:31 2009  
Fri Dec 18 15:11:31 2009  commencing square root phase
Fri Dec 18 15:11:31 2009  reading relations for dependency 1
Fri Dec 18 15:11:32 2009  read 198961 cycles
Fri Dec 18 15:11:32 2009  cycles contain 768805 unique relations
Fri Dec 18 15:11:51 2009  read 768805 relations
Fri Dec 18 15:11:55 2009  multiplying 613156 relations
Fri Dec 18 15:13:05 2009  multiply complete, coefficients have about 21.74 million bits
Fri Dec 18 15:13:05 2009  initial square root is modulo 1749431
Fri Dec 18 15:14:40 2009  sqrtTime: 189
Fri Dec 18 15:14:40 2009  prp61 factor: 4623071854794763055981863186790303195310782012328269473558183
Fri Dec 18 15:14:40 2009  prp86 factor: 23667366222130787792273066730206177697377235694310735886378311300462181777177208904581
Fri Dec 18 15:14:40 2009  elapsed time 00:17:48
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 17, 2009 14:00:00 UTC 2009 年 12 月 17 日 (木) 23 時 0 分 0 秒 (日本時間)

71×10150-539

c148

name 名前Dmitry Domanov
date 日付December 18, 2009 06:38:46 UTC 2009 年 12 月 18 日 (金) 15 時 38 分 46 秒 (日本時間)
composite number 合成数
6035875201904276120037405423786449035110090963189662501062654084842302133809402363342684689279945592110856074130748958598996854543908866785683924169<148>
prime factors 素因数
128415372495535273586931730868534677776502526639<48>
47002746513966858009036774509430398095275660887836235273369621377326418835059116058961137334091595271<101>
factorization results 素因数分解の結果
N=6035875201904276120037405423786449035110090963189662501062654084842302133809402363342684689279945592110856074130748958598996854543908866785683924169
  ( 148 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=128415372495535273586931730868534677776502526639 (pp48)
 r2=47002746513966858009036774509430398095275660887836235273369621377326418835059116058961137334091595271 (pp101)
Version: Msieve-1.40
Total time: 11.65 hours.
Scaled time: 22.67 units (timescale=1.946).
Factorization parameters were as follows:
n: 6035875201904276120037405423786449035110090963189662501062654084842302133809402363342684689279945592110856074130748958598996854543908866785683924169
m: 1000000000000000000000000000000
deg: 5
c5: 71
c0: -53
skew: 0.94
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1200000, 1900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 396211 x 396438
Total sieving time: 11.37 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.19 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,151.000,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,49,49,2.4,2.4,100000
total time: 11.65 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 17, 2009 14:00:00 UTC 2009 年 12 月 17 日 (木) 23 時 0 分 0 秒 (日本時間)

71×10153-539

c143

name 名前Sinkiti Sibata
date 日付February 6, 2010 23:00:11 UTC 2010 年 2 月 7 日 (日) 8 時 0 分 11 秒 (日本時間)
composite number 合成数
39623580671680194925049246811441878840646273609321738928098037963817455158160818874325128729545910672949042973640871356672597782171113930881117<143>
prime factors 素因数
21178624544521549563422189844267730857280106963<47>
1870923231505605736775512172733765140685086007303649001837152612144039224271245580363485610598159<97>
factorization results 素因数分解の結果
Number: 78883_153
N=39623580671680194925049246811441878840646273609321738928098037963817455158160818874325128729545910672949042973640871356672597782171113930881117
  ( 143 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=21178624544521549563422189844267730857280106963 (pp47)
 r2=1870923231505605736775512172733765140685086007303649001837152612144039224271245580363485610598159 (pp97)
Version: Msieve-1.40
Total time: 31.87 hours.
Scaled time: 65.09 units (timescale=2.042).
Factorization parameters were as follows:
name: 78883_153
n: 39623580671680194925049246811441878840646273609321738928098037963817455158160818874325128729545910672949042973640871356672597782171113930881117
m: 1000000000000000000000000000000
deg: 5
c5: 71000
c0: -53
skew: 0.24
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2700000/2700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1350000, 2650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 502127 x 502375
Total sieving time: 30.78 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.62 hours.
Time per square root: 0.36 hours.
Prototype def-par.txt line would be:
snfs,154.000,5,0,0,0,0,0,0,0,0,2700000,2700000,27,27,50,50,2.4,2.4,100000
total time: 31.87 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 KamadaFebruary 5, 2010 06:00:00 UTC 2010 年 2 月 5 日 (金) 15 時 0 分 0 秒 (日本時間)

71×10154-539

c105

name 名前Sinkiti Sibata
date 日付February 5, 2010 22:41:36 UTC 2010 年 2 月 6 日 (土) 7 時 41 分 36 秒 (日本時間)
composite number 合成数
424804987158371442732379226887131749585782333966923362281318421213110271189351845669296514439189091120191<105>
prime factors 素因数
55335884012000053085446190960791791359<38>
7676844686645810139473040241193944968363266152659081527591895200449<67>
factorization results 素因数分解の結果
Number: 78883_154
N=424804987158371442732379226887131749585782333966923362281318421213110271189351845669296514439189091120191
  ( 105 digits)
Divisors found:
 r1=55335884012000053085446190960791791359 (pp38)
 r2=7676844686645810139473040241193944968363266152659081527591895200449 (pp67)
Version: Msieve-1.40
Total time: 11.82 hours.
Scaled time: 24.72 units (timescale=2.092).
Factorization parameters were as follows:
name: 78883_154
n: 424804987158371442732379226887131749585782333966923362281318421213110271189351845669296514439189091120191
skew: 12173.71
# norm 1.58e+14
c5: 20400
c4: 1158629030
c3: -10022641051442
c2: -162751031699602677
c1: 626571351107323845090
c0: 2794397742212486965089759
# alpha -5.27
Y1: 17648342129
Y0: -115800687032515053160
# Murphy_E 1.81e-09
# M 214604857261997205481656162688411014244115452999507988622056257391490764569413064916120976992761056410715
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 258228 x 258476
Polynomial selection time: 0.94 hours.
Total sieving time: 10.49 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.22 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,104,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 11.82 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 5, 2010 06:00:00 UTC 2010 年 2 月 5 日 (金) 15 時 0 分 0 秒 (日本時間)

71×10155-539

c152

name 名前Dmitry Domanov
date 日付February 7, 2010 18:51:26 UTC 2010 年 2 月 8 日 (月) 3 時 51 分 26 秒 (日本時間)
composite number 合成数
36265751339534266027163558538541299539782507649008821260924419109497029783886769130183831604325329328777129080535507235272784852153215137631080259683211<152>
prime factors 素因数
871626051143988814451445408025806249167734991383935068083470977<63>
41607007147085972531564265372600617383165183506086633697819845637554713761487432732485643<89>
factorization results 素因数分解の結果
N=36265751339534266027163558538541299539782507649008821260924419109497029783886769130183831604325329328777129080535507235272784852153215137631080259683211
  ( 152 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=871626051143988814451445408025806249167734991383935068083470977 (pp63)
 r2=41607007147085972531564265372600617383165183506086633697819845637554713761487432732485643 (pp89)
Version: Msieve-1.40
Total time: 17.08 hours.
Scaled time: 31.88 units (timescale=1.866).
Factorization parameters were as follows:
n: 36265751339534266027163558538541299539782507649008821260924419109497029783886769130183831604325329328777129080535507235272784852153215137631080259683211
m: 10000000000000000000000000000000
deg: 5
c5: 71
c0: -53
skew: 0.94
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1450000, 2450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 476296 x 476529
Total sieving time: 16.63 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.28 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,156.000,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 17.08 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 KamadaFebruary 5, 2010 06:00:00 UTC 2010 年 2 月 5 日 (金) 15 時 0 分 0 秒 (日本時間)

71×10157-539

c138

name 名前Erik Branger
date 日付February 8, 2010 06:03:34 UTC 2010 年 2 月 8 日 (月) 15 時 3 分 34 秒 (日本時間)
composite number 合成数
360164235430109381752946755323935950498513893325452890631766714740817444869188907895384104673069051794323067983431589917588961180633060287<138>
prime factors 素因数
12696120347723256744948029128288674559040707<44>
13547545684108540942176555004282648648888243<44>
2093962646595817030648906645318073187435193929001687<52>
factorization results 素因数分解の結果
Number: 78883_157
N = 360164235430109381752946755323935950498513893325452890631766714740817444869188907895384104673069051794323067983431589917588961180633060287 (138 digits)
SNFS difficulty: 159 digits.
Divisors found:
r1=12696120347723256744948029128288674559040707 (pp44)
r2=13547545684108540942176555004282648648888243 (pp44)
r3=2093962646595817030648906645318073187435193929001687 (pp52)
Version: Msieve v. 1.43
Total time: 62.62 hours.
Factorization parameters were as follows:
n: 360164235430109381752946755323935950498513893325452890631766714740817444869188907895384104673069051794323067983431589917588961180633060287
m: 10000000000000000000000000000000
deg: 5
c5: 7100
c0: -53
skew: 0.38
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [1550000, 3350000)
Relations: 8571404
Relations in full relation-set: 1066648 relations
Pruned matrix : 631858 x 632083
Polynomial selection time: 0.00 hours.
Total sieving time: 59.51 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 2.25 hours.
time per square root: 0.63 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 KamadaFebruary 5, 2010 06:00:00 UTC 2010 年 2 月 5 日 (金) 15 時 0 分 0 秒 (日本時間)

71×10162-539

c129

name 名前Sinkiti Sibata
date 日付February 8, 2010 23:03:12 UTC 2010 年 2 月 9 日 (火) 8 時 3 分 12 秒 (日本時間)
composite number 合成数
126174955351409784405003177270781995316774138211394166354346179615079414991907228187989273598760825576501433931844425356179251413<129>
prime factors 素因数
93818594002862303372969206114362921697114910453<47>
1344882181324954876227953016089422454440998267281641629087079721321318630044532321<82>
factorization results 素因数分解の結果
Number: 78883_162
N=126174955351409784405003177270781995316774138211394166354346179615079414991907228187989273598760825576501433931844425356179251413
  ( 129 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=93818594002862303372969206114362921697114910453 (pp47)
 r2=1344882181324954876227953016089422454440998267281641629087079721321318630044532321 (pp82)
Version: Msieve-1.40
Total time: 59.32 hours.
Scaled time: 173.64 units (timescale=2.927).
Factorization parameters were as follows:
name: 78883_162
n: 126174955351409784405003177270781995316774138211394166354346179615079414991907228187989273598760825576501433931844425356179251413
m: 100000000000000000000000000000000
deg: 5
c5: 7100
c0: -53
skew: 0.38
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, 4400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 816629 x 816877
Total sieving time: 57.62 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.40 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,163.000,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 59.32 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 KamadaFebruary 5, 2010 06:00:00 UTC 2010 年 2 月 5 日 (金) 15 時 0 分 0 秒 (日本時間)

71×10163-539

c162

name 名前Dmitry Domanov
date 日付February 6, 2010 09:50:17 UTC 2010 年 2 月 6 日 (土) 18 時 50 分 17 秒 (日本時間)
composite number 合成数
723751274209989806320081549439347604485219164118246687054026503567787971457696228338430173292558613659531090723751274209989806320081549439347604485219164118246687<162>
prime factors 素因数
110201656734068924291388794695545414672173291998312305285442709059887697447<75>
6567517183126354584338610733199547359429276893991163884953937961540154502551366253134921<88>
factorization results 素因数分解の結果
N=723751274209989806320081549439347604485219164118246687054026503567787971457696228338430173292558613659531090723751274209989806320081549439347604485219164118246687
  ( 162 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=110201656734068924291388794695545414672173291998312305285442709059887697447 (pp75)
 r2=6567517183126354584338610733199547359429276893991163884953937961540154502551366253134921 (pp88)
Version: Msieve-1.40
Total time: 46.28 hours.
Scaled time: 87.66 units (timescale=1.894).
Factorization parameters were as follows:
n: 723751274209989806320081549439347604485219164118246687054026503567787971457696228338430173292558613659531090723751274209989806320081549439347604485219164118246687
m: 100000000000000000000000000000000
deg: 5
c5: 71000
c0: -53
skew: 0.24
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1950000, 4650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 803317 x 803542
Total sieving time: 45.26 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.82 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,164.000,5,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000
total time: 46.28 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 KamadaFebruary 5, 2010 06:00:00 UTC 2010 年 2 月 5 日 (金) 15 時 0 分 0 秒 (日本時間)

71×10164-539

c151

name 名前Sinkiti Sibata
date 日付February 9, 2010 23:44:32 UTC 2010 年 2 月 10 日 (水) 8 時 44 分 32 秒 (日本時間)
composite number 合成数
4342371266310157807505263496528662409828835057061292361993614263960955313523494706787082136060607778231799513078963904161486072415224821879394633603009<151>
prime factors 素因数
87878909117421927513203294299204406524570490761790339387460157<62>
49413122100866930038653565408305690844938167618950844910917079894729188233262109000519637<89>
factorization results 素因数分解の結果
Number: 78883_164
N=4342371266310157807505263496528662409828835057061292361993614263960955313523494706787082136060607778231799513078963904161486072415224821879394633603009
  ( 151 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=87878909117421927513203294299204406524570490761790339387460157 (pp62)
 r2=49413122100866930038653565408305690844938167618950844910917079894729188233262109000519637 (pp89)
Version: Msieve-1.40
Total time: 76.37 hours.
Scaled time: 192.75 units (timescale=2.524).
Factorization parameters were as follows:
name: 78883_164
n: 4342371266310157807505263496528662409828835057061292361993614263960955313523494706787082136060607778231799513078963904161486072415224821879394633603009
m: 100000000000000000000000000000000
deg: 5
c5: 710000
c0: -53
skew: 0.15
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2050000, 5450001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 858860 x 859108
Total sieving time: 74.25 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 1.61 hours.
Time per square root: 0.39 hours.
Prototype def-par.txt line would be:
snfs,165.000,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 76.37 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 KamadaFebruary 5, 2010 06:00:00 UTC 2010 年 2 月 5 日 (金) 15 時 0 分 0 秒 (日本時間)

71×10171-539

c148

name 名前Sinkiti Sibata
date 日付May 5, 2010 13:17:15 UTC 2010 年 5 月 5 日 (水) 22 時 17 分 15 秒 (日本時間)
composite number 合成数
3305933094727139482819965222124629052832631523181758398703711958589890020464912501866796488046961750743934151817574545905228741245292014234858681027<148>
prime factors 素因数
117681446717784602654140443466810687923663414504079814557<57>
28092220030700306745135171902462376611937238656011692505662181476928681802900497061893983711<92>
factorization results 素因数分解の結果
Number: 78883_171
N=3305933094727139482819965222124629052832631523181758398703711958589890020464912501866796488046961750743934151817574545905228741245292014234858681027
  ( 148 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=117681446717784602654140443466810687923663414504079814557 (pp57)
 r2=28092220030700306745135171902462376611937238656011692505662181476928681802900497061893983711 (pp92)
Version: Msieve-1.40
Total time: 98.79 hours.
Scaled time: 321.47 units (timescale=3.254).
Factorization parameters were as follows:
name: 78881_171
n: 3305933094727139482819965222124629052832631523181758398703711958589890020464912501866796488046961750743934151817574545905228741245292014234858681027
m: 10000000000000000000000000000000000
deg: 5
c5: 710
c0: -53
skew: 0.60
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2650000, 7450001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1108442 x 1108690
Total sieving time: 96.16 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 2.41 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,172.000,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
total time: 98.79 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Window 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 KamadaFebruary 5, 2010 06:00:00 UTC 2010 年 2 月 5 日 (金) 15 時 0 分 0 秒 (日本時間)
786Wataru SakaiFebruary 11, 2010 05:09:53 UTC 2010 年 2 月 11 日 (木) 14 時 9 分 53 秒 (日本時間)

71×10172-539

c97

name 名前Dmitry Domanov
date 日付February 5, 2010 15:28:31 UTC 2010 年 2 月 6 日 (土) 0 時 28 分 31 秒 (日本時間)
composite number 合成数
1214979297410275371869335233752601450286686849627289088026364875388198038149356562768245500789349<97>
prime factors 素因数
17936228554861316218098839522939836102343<41>
67738838947888822229396601375366011111305692306479440243<56>
factorization results 素因数分解の結果
Fri Feb 05 14:07:19 2010  
Fri Feb 05 14:07:19 2010  
Fri Feb 05 14:07:19 2010  Msieve v. 1.42
Fri Feb 05 14:07:19 2010  random seeds: 40223ee4 f12c876b
Fri Feb 05 14:07:19 2010  factoring 3024984445319662051697838076104319078008984242841428088497362473598402046244307350673 (85 digits)
Fri Feb 05 14:07:20 2010  searching for 15-digit factors
Fri Feb 05 14:07:20 2010  commencing quadratic sieve (85-digit input)
Fri Feb 05 14:07:20 2010  using multiplier of 1
Fri Feb 05 14:07:20 2010  using 32kb Intel Core sieve core
Fri Feb 05 14:07:20 2010  sieve interval: 12 blocks of size 32768
Fri Feb 05 14:07:20 2010  processing polynomials in batches of 17
Fri Feb 05 14:07:20 2010  using a sieve bound of 1424041 (54412 primes)
Fri Feb 05 14:07:20 2010  using large prime bound of 116771362 (26 bits)
Fri Feb 05 14:07:20 2010  using trial factoring cutoff of 27 bits
Fri Feb 05 14:07:20 2010  polynomial 'A' values have 11 factors
Fri Feb 05 14:39:02 2010  54560 relations (27311 full + 27249 combined from 286394 partial), need 54508
Fri Feb 05 14:39:03 2010  begin with 313705 relations
Fri Feb 05 14:39:03 2010  reduce to 78315 relations in 2 passes
Fri Feb 05 14:39:03 2010  attempting to read 78315 relations
Fri Feb 05 14:39:03 2010  recovered 78315 relations
Fri Feb 05 14:39:03 2010  recovered 73820 polynomials
Fri Feb 05 14:39:03 2010  attempting to build 54560 cycles
Fri Feb 05 14:39:03 2010  found 54560 cycles in 1 passes
Fri Feb 05 14:39:03 2010  distribution of cycle lengths:
Fri Feb 05 14:39:03 2010     length 1 : 27311
Fri Feb 05 14:39:03 2010     length 2 : 27249
Fri Feb 05 14:39:03 2010  largest cycle: 2 relations
Fri Feb 05 14:39:04 2010  matrix is 54412 x 54560 (7.4 MB) with weight 1731926 (31.74/col)
Fri Feb 05 14:39:04 2010  sparse part has weight 1731926 (31.74/col)
Fri Feb 05 14:39:04 2010  filtering completed in 3 passes
Fri Feb 05 14:39:04 2010  matrix is 40799 x 40863 (6.1 MB) with weight 1424034 (34.85/col)
Fri Feb 05 14:39:04 2010  sparse part has weight 1424034 (34.85/col)
Fri Feb 05 14:39:04 2010  saving the first 48 matrix rows for later
Fri Feb 05 14:39:04 2010  matrix is 40751 x 40863 (3.7 MB) with weight 1062801 (26.01/col)
Fri Feb 05 14:39:04 2010  sparse part has weight 714109 (17.48/col)
Fri Feb 05 14:39:04 2010  matrix includes 64 packed rows
Fri Feb 05 14:39:04 2010  using block size 16345 for processor cache size 6144 kB
Fri Feb 05 14:39:04 2010  commencing Lanczos iteration
Fri Feb 05 14:39:04 2010  memory use: 4.7 MB
Fri Feb 05 14:39:10 2010  lanczos halted after 646 iterations (dim = 40751)
Fri Feb 05 14:39:10 2010  recovered 17 nontrivial dependencies
Fri Feb 05 14:39:10 2010  prp38 factor: 72972013733596972808653391421661746313
Fri Feb 05 14:39:10 2010  prp47 factor: 41454035465749137595008029411264575207493643721
Fri Feb 05 14:39:10 2010  elapsed time 00:31:51
Fri Feb 05 14:40:15 2010  
Fri Feb 05 14:40:15 2010  
Fri Feb 05 14:40:15 2010  Msieve v. 1.42
Fri Feb 05 14:40:15 2010  random seeds: 4198c528 596989c7
Fri Feb 05 14:40:15 2010  factoring 1214979297410275371869335233752601450286686849627289088026364875388198038149356562768245500789349 (97 digits)
Fri Feb 05 14:40:15 2010  searching for 15-digit factors
Fri Feb 05 14:40:16 2010  commencing quadratic sieve (97-digit input)
Fri Feb 05 14:40:16 2010  using multiplier of 5
Fri Feb 05 14:40:16 2010  using 32kb Intel Core sieve core
Fri Feb 05 14:40:16 2010  sieve interval: 36 blocks of size 32768
Fri Feb 05 14:40:16 2010  processing polynomials in batches of 6
Fri Feb 05 14:40:16 2010  using a sieve bound of 2334623 (85882 primes)
Fri Feb 05 14:40:16 2010  using large prime bound of 350193450 (28 bits)
Fri Feb 05 14:40:16 2010  using double large prime bound of 2397476887717500 (43-52 bits)
Fri Feb 05 14:40:16 2010  using trial factoring cutoff of 52 bits
Fri Feb 05 14:40:16 2010  polynomial 'A' values have 13 factors
Fri Feb 05 19:20:52 2010  86343 relations (20565 full + 65778 combined from 1305638 partial), need 85978
Fri Feb 05 19:20:53 2010  begin with 1326203 relations
Fri Feb 05 19:20:54 2010  reduce to 228211 relations in 11 passes
Fri Feb 05 19:20:54 2010  attempting to read 228211 relations
Fri Feb 05 19:20:57 2010  recovered 228211 relations
Fri Feb 05 19:20:57 2010  recovered 215687 polynomials
Fri Feb 05 19:20:57 2010  attempting to build 86343 cycles
Fri Feb 05 19:20:57 2010  found 86343 cycles in 6 passes
Fri Feb 05 19:20:57 2010  distribution of cycle lengths:
Fri Feb 05 19:20:57 2010     length 1 : 20565
Fri Feb 05 19:20:57 2010     length 2 : 14667
Fri Feb 05 19:20:57 2010     length 3 : 14413
Fri Feb 05 19:20:57 2010     length 4 : 11843
Fri Feb 05 19:20:57 2010     length 5 : 8913
Fri Feb 05 19:20:57 2010     length 6 : 6230
Fri Feb 05 19:20:57 2010     length 7 : 4026
Fri Feb 05 19:20:57 2010     length 9+: 5686
Fri Feb 05 19:20:57 2010  largest cycle: 22 relations
Fri Feb 05 19:20:58 2010  matrix is 85882 x 86343 (23.5 MB) with weight 5814650 (67.34/col)
Fri Feb 05 19:20:58 2010  sparse part has weight 5814650 (67.34/col)
Fri Feb 05 19:20:59 2010  filtering completed in 3 passes
Fri Feb 05 19:20:59 2010  matrix is 82326 x 82389 (22.4 MB) with weight 5552993 (67.40/col)
Fri Feb 05 19:20:59 2010  sparse part has weight 5552993 (67.40/col)
Fri Feb 05 19:20:59 2010  saving the first 48 matrix rows for later
Fri Feb 05 19:20:59 2010  matrix is 82278 x 82389 (14.2 MB) with weight 4418108 (53.62/col)
Fri Feb 05 19:20:59 2010  sparse part has weight 3238533 (39.31/col)
Fri Feb 05 19:20:59 2010  matrix includes 64 packed rows
Fri Feb 05 19:20:59 2010  using block size 32955 for processor cache size 6144 kB
Fri Feb 05 19:20:59 2010  commencing Lanczos iteration
Fri Feb 05 19:20:59 2010  memory use: 14.2 MB
Fri Feb 05 19:21:40 2010  lanczos halted after 1302 iterations (dim = 82276)
Fri Feb 05 19:21:40 2010  recovered 16 nontrivial dependencies
Fri Feb 05 19:21:41 2010  prp41 factor: 17936228554861316218098839522939836102343
Fri Feb 05 19:21:41 2010  prp56 factor: 67738838947888822229396601375366011111305692306479440243
Fri Feb 05 19:21:41 2010  elapsed time 04:41:26
software ソフトウェア
msieve v1.42

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 5, 2010 06:00:00 UTC 2010 年 2 月 5 日 (金) 15 時 0 分 0 秒 (日本時間)

71×10173-539

c86

name 名前Lionel Debroux
date 日付February 5, 2010 18:29:28 UTC 2010 年 2 月 6 日 (土) 3 時 29 分 28 秒 (日本時間)
composite number 合成数
65051867441951427747903370880070383918783843757181790910031698436124486685815291899727<86>
prime factors 素因数
14387984374008964353692546150292041<35>
4521263420292820617117157226105898243554881602501847<52>
factorization results 素因数分解の結果
Msieve v. 1.44
random seeds: 007779ae e04193a8
factoring 65051867441951427747903370880070383918783843757181790910031698436124486685815291899727 (86 digits)
searching for 15-digit factors
commencing quadratic sieve (86-digit input)
using multiplier of 2
using 32kb Intel Core sieve core
sieve interval: 17 blocks of size 32768
processing polynomials in batches of 12
using a sieve bound of 1468801 (56000 primes)
using large prime bound of 117504080 (26 bits)
using double large prime bound of 335811267605520 (41-49 bits)
using trial factoring cutoff of 49 bits
polynomial 'A' values have 11 factors
56241 relations (16474 full + 39767 combined from 581669 partial), need 56096
begin with 598143 relations
reduce to 131525 relations in 12 passes
attempting to read 131525 relations
recovered 131525 relations
recovered 106503 polynomials
attempting to build 56241 cycles
found 56241 cycles in 5 passes
distribution of cycle lengths:
   length 1 : 16474
   length 2 : 11345
   length 3 : 10088
   length 4 : 7143
   length 5 : 4856
   length 6 : 2922
   length 7 : 1651
   length 9+: 1762
largest cycle: 19 relations
matrix is 56000 x 56241 (13.4 MB) with weight 3062115 (54.45/col)
sparse part has weight 3062115 (54.45/col)
filtering completed in 3 passes
matrix is 50753 x 50817 (12.2 MB) with weight 2794438 (54.99/col)
sparse part has weight 2794438 (54.99/col)
saving the first 48 matrix rows for later
matrix is 50705 x 50817 (7.8 MB) with weight 2165246 (42.61/col)
sparse part has weight 1546911 (30.44/col)
matrix includes 64 packed rows
using block size 20326 for processor cache size 4096 kB
commencing Lanczos iteration
memory use: 7.5 MB
lanczos halted after 803 iterations (dim = 50699)
recovered 14 nontrivial dependencies
prp35 factor: 14387984374008964353692546150292041
prp52 factor: 4521263420292820617117157226105898243554881602501847
elapsed time 00:25:27
software ソフトウェア
msieve 1.44
execution environment 実行環境
Core 2 Duo T7600, 3 GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 5, 2010 06:00:00 UTC 2010 年 2 月 5 日 (金) 15 時 0 分 0 秒 (日本時間)

71×10174-539

c111

name 名前Dmitry Domanov
date 日付February 7, 2010 04:11:02 UTC 2010 年 2 月 7 日 (日) 13 時 11 分 2 秒 (日本時間)
composite number 合成数
212463793207350935417654988341565143006847875491671427664609878344604566252732800134226598763750581891946257271<111>
prime factors 素因数
659824236171025024432961370567061311631978489381319<51>
322000589793856521330830147087614998288210197748389168486609<60>
factorization results 素因数分解の結果
N=212463793207350935417654988341565143006847875491671427664609878344604566252732800134226598763750581891946257271
  ( 111 digits)
Divisors found:
 r1=659824236171025024432961370567061311631978489381319 (pp51)
 r2=322000589793856521330830147087614998288210197748389168486609 (pp60)
Version: Msieve-1.40
Total time: 13.31 hours.
Scaled time: 24.69 units (timescale=1.855).
Factorization parameters were as follows:
n: 212463793207350935417654988341565143006847875491671427664609878344604566252732800134226598763750581891946257271
skew: 27169.52
# norm 4.85e+014
c5: 12120
c4: 391592966
c3: -32190679240321
c2: -75681392421079151
c1: 9719523466371319433379
c0: 47722649537272184960305068
# alpha -4.92
Y1: 270320564687
Y0: -1773193107008002655705
# Murphy_E 9.60e-010
# M 153070196531906092980458224290670807052336420557144162763718442547180146288565675984449031510347494672906439256
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 398195 x 398426
Total sieving time: 12.79 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.20 hours.
Time per square root: 0.26 hours.
Prototype def-par.txt line would be:
gnfs,110,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 13.31 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 5, 2010 06:00:00 UTC 2010 年 2 月 5 日 (金) 15 時 0 分 0 秒 (日本時間)

71×10175-539

c166

name 名前Dmitry Domanov
date 日付August 27, 2011 14:16:28 UTC 2011 年 8 月 27 日 (土) 23 時 16 分 28 秒 (日本時間)
composite number 合成数
3040464092458891310951405115363183725908771331463572027358900590602407910797726688083585849005389321359013576671890269581563447929356259413435624913471852597697021377<166>
prime factors 素因数
307448773784817869862137920871764957154348685415965846036565208874341<69>
9889335563221011911055519385749526338319998568203091718333838280370193850824284481281467425988397<97>
factorization results 素因数分解の結果
Number: s166
N=3040464092458891310951405115363183725908771331463572027358900590602407910797726688083585849005389321359013576671890269581563447929356259413435624913471852597697021377
  ( 166 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=307448773784817869862137920871764957154348685415965846036565208874341 (pp69)
 r2=9889335563221011911055519385749526338319998568203091718333838280370193850824284481281467425988397 (pp97)
Version: Msieve-1.40
Total time: 77.81 hours.
Scaled time: 143.09 units (timescale=1.839).
Factorization parameters were as follows:
n: 3040464092458891310951405115363183725908771331463572027358900590602407910797726688083585849005389321359013576671890269581563447929356259413435624913471852597697021377
m: 100000000000000000000000000000000000
deg: 5
c5: 71
c0: -53
skew: 0.94
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 300000Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3100000, 7000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1178241 x 1178473
Total sieving time: 75.70 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.82 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,176.000,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,53,53,2.5,2.5,100000
total time: 77.81 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
351e6118Makoto KamadaFebruary 5, 2010 06:00:00 UTC 2010 年 2 月 5 日 (金) 15 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovMay 12, 2011 06:29:44 UTC 2011 年 5 月 12 日 (木) 15 時 29 分 44 秒 (日本時間)

71×10176-539

c141

name 名前Youcef Lemsafer
date 日付October 29, 2012 22:04:19 UTC 2012 年 10 月 30 日 (火) 7 時 4 分 19 秒 (日本時間)
composite number 合成数
419060415628599761211130735704500571006766570315340753604325612751190831146737607948812383826164926492376577061234763463344888766600950205997<141>
prime factors 素因数
18501694279968600925703231723177615286868627080168511963<56>
22649840024775879348325205888551149657973901971754604397824298098071539953676016224919<86>
factorization results 素因数分解の結果
Sun Oct 28 07:17:18 2012 -> factmsieve.py (v0.76)
Sun Oct 28 07:17:18 2012 -> This is client 1 of 1
Sun Oct 28 07:17:18 2012 -> Running on 4 Cores with 2 hyper-threads per Core
Sun Oct 28 07:17:18 2012 -> Working with NAME = 78883_176
Sun Oct 28 07:17:18 2012 -> Selected lattice siever: gnfs-lasieve4I13e
Sun Oct 28 07:17:18 2012 -> Creating param file to detect parameter changes...
Sun Oct 28 07:17:18 2012 -> Running setup ...
Sun Oct 28 07:17:18 2012 -> Estimated minimum relations needed: 1.3895e+07
Sun Oct 28 07:17:18 2012 -> cleaning up before a restart
Sun Oct 28 07:17:18 2012 -> Running lattice siever ...
Sun Oct 28 07:17:18 2012 -> entering sieving loop
...
Sun Oct 28 10:10:43 2012 Found 1946955 relations, 14.0% of the estimated minimum (13894954).
...
Sun Oct 28 13:06:06 2012 Found 3895278 relations, 28.0% of the estimated minimum (13894954).
...
Mon Oct 29 06:48:28 2012 Found 15436704 relations, 111.1% of the estimated minimum (13894954).
...
Mon Oct 29 10:54:07 2012 Found 17536759 relations, 126.2% of the estimated minimum (13894954).
...
Mon Oct 29 13:45:32 2012 Found 18903138 relations, 136.0% of the estimated minimum (13894954).
...
Mon Oct 29 18:03:33 2012 Found 20915886 relations, 150.5% of the estimated minimum (13894954).
...
Mon Oct 29 19:29:28 2012 Found 21574475 relations, 155.3% of the estimated minimum (13894954).
...
Mon Oct 29 22:28:33 2012  Msieve v. 1.50 (SVN 708)
Mon Oct 29 22:28:33 2012  random seeds: d8b330bc f71c1e17
Mon Oct 29 22:28:33 2012  factoring 419060415628599761211130735704500571006766570315340753604325612751190831146737607948812383826164926492376577061234763463344888766600950205997 (141 digits)
Mon Oct 29 22:28:34 2012  searching for 15-digit factors
Mon Oct 29 22:28:35 2012  commencing number field sieve (141-digit input)
Mon Oct 29 22:28:35 2012  R0: -100000000000000000000000000000000000
Mon Oct 29 22:28:35 2012  R1: 1
Mon Oct 29 22:28:35 2012  A0: -53
Mon Oct 29 22:28:35 2012  A1: 0
Mon Oct 29 22:28:35 2012  A2: 0
Mon Oct 29 22:28:35 2012  A3: 0
Mon Oct 29 22:28:35 2012  A4: 0
Mon Oct 29 22:28:35 2012  A5: 710
Mon Oct 29 22:28:35 2012  skew 1.00, size 1.118e-012, alpha 1.377, combined = 9.189e-011 rroots = 1
Mon Oct 29 22:28:35 2012  
Mon Oct 29 22:28:35 2012  commencing square root phase
Mon Oct 29 22:28:35 2012  reading relations for dependency 1
Mon Oct 29 22:28:35 2012  read 803049 cycles
Mon Oct 29 22:28:37 2012  cycles contain 2780656 unique relations
Mon Oct 29 22:28:59 2012  read 2780656 relations
Mon Oct 29 22:29:13 2012  multiplying 2780656 relations
Mon Oct 29 22:33:22 2012  multiply complete, coefficients have about 87.02 million bits
Mon Oct 29 22:33:23 2012  initial square root is modulo 1763011
Mon Oct 29 22:38:35 2012  GCD is 1, no factor found
Mon Oct 29 22:38:35 2012  reading relations for dependency 2
Mon Oct 29 22:38:35 2012  read 801865 cycles
Mon Oct 29 22:38:37 2012  cycles contain 2779782 unique relations
Mon Oct 29 22:38:59 2012  read 2779782 relations
Mon Oct 29 22:39:13 2012  multiplying 2779782 relations
Mon Oct 29 22:43:23 2012  multiply complete, coefficients have about 87.00 million bits
Mon Oct 29 22:43:23 2012  initial square root is modulo 1756361
Mon Oct 29 22:48:36 2012  sqrtTime: 1201
Mon Oct 29 22:48:36 2012  prp56 factor: 18501694279968600925703231723177615286868627080168511963
Mon Oct 29 22:48:36 2012  prp86 factor: 22649840024775879348325205888551149657973901971754604397824298098071539953676016224919
Mon Oct 29 22:48:36 2012  elapsed time 00:20:03
Mon Oct 29 22:48:36 2012 -> Computing 1.35155e+09 scale for this machine...
Mon Oct 29 22:48:36 2012 -> procrels -speedtest> PIPE
Mon Oct 29 22:48:41 2012 -> Factorization summary written to s178-78883_176.txt


Number: 78883_176
N = 419060415628599761211130735704500571006766570315340753604325612751190831146737607948812383826164926492376577061234763463344888766600950205997 (141 digits)
SNFS difficulty: 178 digits.
Divisors found:
r1=18501694279968600925703231723177615286868627080168511963 (pp56)
r2=22649840024775879348325205888551149657973901971754604397824298098071539953676016224919 (pp86)
Version: Msieve v. 1.50 (SVN 708)
Total time: 39.65 hours.
Factorization parameters were as follows:
n: 419060415628599761211130735704500571006766570315340753604325612751190831146737607948812383826164926492376577061234763463344888766600950205997
m: 100000000000000000000000000000000000
deg: 5
c5: 710
c0: -53
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: 21574475
Relations: 2779782 relations
Pruned matrix : 1606215 x 1606440
Polynomial selection time: 0.00 hours.
Total sieving time: 36.33 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 2.85 hours.
time per square root: 0.33 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: 39.65 hours.
Intel64 Family 6 Model 26 Stepping 5, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.80GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 5, 2010 06:00:00 UTC 2010 年 2 月 5 日 (金) 15 時 0 分 0 秒 (日本時間)
403e62318300Dmitry DomanovMay 12, 2011 06:29:52 UTC 2011 年 5 月 12 日 (木) 15 時 29 分 52 秒 (日本時間)
2018Wataru SakaiOctober 24, 2011 13:50:34 UTC 2011 年 10 月 24 日 (月) 22 時 50 分 34 秒 (日本時間)
4511e6471 / 3963Youcef LemsaferOctober 28, 2012 05:52:01 UTC 2012 年 10 月 28 日 (日) 14 時 52 分 1 秒 (日本時間)

71×10177-539

c154

name 名前Tapio Rajala
date 日付September 12, 2013 16:57:02 UTC 2013 年 9 月 13 日 (金) 1 時 57 分 2 秒 (日本時間)
composite number 合成数
1499333168111303874250492108912445878888480807158589416656193957664110081843482335927946249781804710464159804797810769371751437292492641095823027298172501<154>
prime factors 素因数
96308607355600105336935110476289493332106582479688524652837678109<65>
15568007982664712362921765895002263218979850373692489294383413953571528660892629750011289<89>
factorization results 素因数分解の結果
Thu Sep 12 16:16:49 2013  Msieve v. 1.44
Thu Sep 12 16:16:49 2013  random seeds: 61439f1a ed13efae
Thu Sep 12 16:16:49 2013  factoring 1499333168111303874250492108912445878888480807158589416656193957664110081843482335927946249781804710464159804797810769371751437292492641095823027298172501 (154 digits)
...
Thu Sep 12 16:20:10 2013  found 2082552 hash collisions in 21382258 relations
...
Thu Sep 12 16:30:38 2013  matrix is 1089070 x 1089296 (308.7 MB) with weight 76251161 (70.00/col)
Thu Sep 12 16:30:38 2013  sparse part has weight 70037490 (64.30/col)
...
Thu Sep 12 16:30:42 2013  commencing Lanczos iteration (2 threads)
Thu Sep 12 16:30:42 2013  memory use: 313.1 MB
Thu Sep 12 16:30:47 2013  linear algebra at 0.1%, ETA 1h59m
...
Thu Sep 12 18:37:19 2013  prp65 factor: 96308607355600105336935110476289493332106582479688524652837678109
Thu Sep 12 18:37:19 2013  prp89 factor: 15568007982664712362921765895002263218979850373692489294383413953571528660892629750011289
Thu Sep 12 18:37:19 2013  elapsed time 02:20:30
software ソフトウェア
gnfs-lasieve4I14e
Msieve v. 1.44

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 5, 2010 06:00:00 UTC 2010 年 2 月 5 日 (金) 15 時 0 分 0 秒 (日本時間)
403e62318300Dmitry DomanovMay 12, 2011 06:30:02 UTC 2011 年 5 月 12 日 (木) 15 時 30 分 2 秒 (日本時間)
2018Wataru SakaiMarch 22, 2012 05:32:38 UTC 2012 年 3 月 22 日 (木) 14 時 32 分 38 秒 (日本時間)
4511e6512 / 3963Tapio RajalaSeptember 9, 2013 20:14:55 UTC 2013 年 9 月 10 日 (火) 5 時 14 分 55 秒 (日本時間)

71×10178-539

c139

name 名前Dmitry Domanov
date 日付May 12, 2011 06:34:52 UTC 2011 年 5 月 12 日 (木) 15 時 34 分 52 秒 (日本時間)
composite number 合成数
1508690881871976703342280402301039379931492338980673230655041398760282048028601838765605180880741648752997844863532947072726644546488033057<139>
prime factors 素因数
34551073581760152824385162577760663<35>
3151603803602068199317570504415770213<37>
13855018282194756036611568723827289926064818453203455983335371332603<68>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2423145578
Step 1 took 48612ms
Step 2 took 19811ms
********** Factor found in step 2: 34551073581760152824385162577760663
Found probable prime factor of 35 digits: 34551073581760152824385162577760663
Composite cofactor 43665528317141186220315242902583355693299681651138774810549369081336339471689879093646358131302443154439 has 104 digits

N=43665528317141186220315242902583355693299681651138774810549369081336339471689879093646358131302443154439
  ( 104 digits)
Divisors found:
 r1=3151603803602068199317570504415770213 (pp37)
 r2=13855018282194756036611568723827289926064818453203455983335371332603 (pp68)
Version: Msieve v. 1.48
Total time: 0.83 hours.
Scaled time: 1.11 units (timescale=1.340).
Factorization parameters were as follows:
name: 104
n: 43665528317141186220315242902583355693299681651138774810549369081336339471689879093646358131302443154439
skew: 2193.47
# norm 1.65e+14
c5: 361200
c4: -6264542512
c3: 15997908400956
c2: 34993593427527362
c1: 5417550689395588809
c0: -6862803422312148337720
# alpha -5.35
Y1: 30007733617
Y0: -41350359411272289369
# Murphy_E 2.33e-09
# M 11629810392660495629310465253570008727895579776894885039606302374314805434048370646570258755144495771266
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1950001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 254590 x 254821
Polynomial selection time: 0.64 hours.
Total sieving time: 0.00 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,103,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 0.83 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
351e6124118Makoto KamadaFebruary 5, 2010 06:00:00 UTC 2010 年 2 月 5 日 (金) 15 時 0 分 0 秒 (日本時間)
6Dmitry DomanovNovember 17, 2010 10:13:41 UTC 2010 年 11 月 17 日 (水) 19 時 13 分 41 秒 (日本時間)
403e6300 / 2317Dmitry DomanovMay 12, 2011 06:30:15 UTC 2011 年 5 月 12 日 (木) 15 時 30 分 15 秒 (日本時間)

71×10180-539

c155

name 名前Dmitry Domanov
date 日付May 13, 2011 06:13:44 UTC 2011 年 5 月 13 日 (金) 15 時 13 分 44 秒 (日本時間)
composite number 合成数
54193929120079972389381223111026447891296409289514173006480516655481838556186820819561632426731486065833497866946447173398436055127237499355741529298715967<155>
prime factors 素因数
2833061867849675108976975176033524597<37>
721291797432620819370950262959782050570473033<45>
26520614755796625803297178315994440558180071083039131823098722055518805067<74>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3548039587
Step 1 took 61316ms
Step 2 took 22127ms
********** Factor found in step 2: 2833061867849675108976975176033524597
Found probable prime factor of 37 digits: 2833061867849675108976975176033524597
Composite cofactor 19129101886226634478070840542549856428831021388313885647539387831419008443200269197637626354166577524191454465107258211 has 119 digits

N=19129101886226634478070840542549856428831021388313885647539387831419008443200269197637626354166577524191454465107258211
  ( 119 digits)
Divisors found:
 r1=721291797432620819370950262959782050570473033 (pp45)
 r2=26520614755796625803297178315994440558180071083039131823098722055518805067 (pp74)
Version: Msieve v. 1.48
Total time: 5.33 hours.
Scaled time: 8.58 units (timescale=1.608).
Factorization parameters were as follows:
name: 119
n: 19129101886226634478070840542549856428831021388313885647539387831419008443200269197637626354166577524191454465107258211
skew: 39467.94
# norm 3.97e+16
c5: 47040
c4: 36641438654
c3: 136564442757911
c2: -27095234682846719658
c1: -99754770630447502568096
c0: 6670039022767786942390192744
# alpha -6.94
Y1: 10145747294813
Y0: -52702647162276764814201
# Murphy_E 3.62e-10
# M 17602094613759842628445529122246231620609254428154649764095378518986161539931307155894376340368708602127937307288174139
type: gnfs
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [2000000, 3600001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 577461 x 577687
Polynomial selection time: 4.65 hours.
Total sieving time: 0.00 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.40 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
gnfs,118,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4000000,4000000,27,27,53,53,2.5,2.5,100000
total time: 5.33 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
351e6118Makoto KamadaFebruary 5, 2010 06:00:00 UTC 2010 年 2 月 5 日 (金) 15 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovMay 12, 2011 06:30:42 UTC 2011 年 5 月 12 日 (木) 15 時 30 分 42 秒 (日本時間)

71×10181-539

c148

name 名前Dmitry Domanov
date 日付May 12, 2011 04:33:30 UTC 2011 年 5 月 12 日 (木) 13 時 33 分 30 秒 (日本時間)
composite number 合成数
2915635474678723357639476440802302827958842254491515253664937188508695452031003319041117510439629368193109462085893791516775214637518086881612369503<148>
prime factors 素因数
63224672445229591036567735465984363<35>
46115469830302189383202414299127979260085322976125232820381543080872213444102835579026890389633861788351732514781<113>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4066096675
Step 1 took 48739ms
Step 2 took 20732ms
********** Factor found in step 2: 63224672445229591036567735465984363
Found probable prime factor of 35 digits: 63224672445229591036567735465984363
Probable prime cofactor 46115469830302189383202414299127979260085322976125232820381543080872213444102835579026890389633861788351732514781 has 113 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 5, 2010 06:00:00 UTC 2010 年 2 月 5 日 (金) 15 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovMay 12, 2011 04:33:22 UTC 2011 年 5 月 12 日 (木) 13 時 33 分 22 秒 (日本時間)

71×10183-539

c168

name 名前Jo Yeong Uk
date 日付July 30, 2014 12:48:51 UTC 2014 年 7 月 30 日 (水) 21 時 48 分 51 秒 (日本時間)
composite number 合成数
313588584182932230308606436178393819603681527043198014863399897911280769941187759598449895773143243949504209405317953262498074549673743798093473414359599661534906376957<168>
prime factors 素因数
50387847614050775512828077889042762187412806612911210991837709001<65>
6223496319685766466750010680701535231888398668727578658175629772136807217791259555424350054544351863957<103>
factorization results 素因数分解の結果
Number: 78883_183
N=313588584182932230308606436178393819603681527043198014863399897911280769941187759598449895773143243949504209405317953262498074549673743798093473414359599661534906376957
  ( 168 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=50387847614050775512828077889042762187412806612911210991837709001
 r2=6223496319685766466750010680701535231888398668727578658175629772136807217791259555424350054544351863957
Version: 
Total time: 103.05 hours.
Scaled time: 541.53 units (timescale=5.255).
Factorization parameters were as follows:
n: 313588584182932230308606436178393819603681527043198014863399897911280769941187759598449895773143243949504209405317953262498074549673743798093473414359599661534906376957
m: 2000000000000000000000000000000000000
deg: 5
c5: 8875
c0: -212
skew: 0.47
# Murphy_E = 4.321e-11
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4000000, 8700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 21137721
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1771689 x 1771937
Total sieving time: 96.10 hours.
Total relation processing time: 2.62 hours.
Matrix solve time: 4.17 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,54,54,2.5,2.5,100000
total time: 103.05 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.. 6800.41 BogoMIPS (lpj=3400205)
Total of 12 processors activated (81604.92 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
351e6118Makoto KamadaFebruary 5, 2010 06:00:00 UTC 2010 年 2 月 5 日 (金) 15 時 0 分 0 秒 (日本時間)
403e61300300Dmitry DomanovMay 12, 2011 06:30:54 UTC 2011 年 5 月 12 日 (木) 15 時 30 分 54 秒 (日本時間)
1000Dmitry DomanovJanuary 17, 2013 12:06:55 UTC 2013 年 1 月 17 日 (木) 21 時 6 分 55 秒 (日本時間)
4511e6600 / 4188300Rich DickersonNovember 17, 2013 03:46:33 UTC 2013 年 11 月 17 日 (日) 12 時 46 分 33 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:51 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 51 秒 (日本時間)

71×10184-539

c132

name 名前Robert Backstrom
date 日付April 15, 2012 16:18:58 UTC 2012 年 4 月 16 日 (月) 1 時 18 分 58 秒 (日本時間)
composite number 合成数
584148355193642692353690744978354925886869666472333637426627484826598827806573691396247061553206932226096169381456426673069516613823<132>
prime factors 素因数
891960582669796382710688908514062514332546286085511<51>
654903777748993072648865361838280968549068633917031069184275649627866609303728393<81>
factorization results 素因数分解の結果
Number: n
N=584148355193642692353690744978354925886869666472333637426627484826598827806573691396247061553206932226096169381456426673069516613823
  ( 132 digits)
Divisors found:

Mon Apr 16 02:09:43 2012  prp51 factor: 891960582669796382710688908514062514332546286085511
Mon Apr 16 02:09:43 2012  prp81 factor: 654903777748993072648865361838280968549068633917031069184275649627866609303728393
Mon Apr 16 02:09:43 2012  elapsed time 01:39:13 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.094).
Factorization parameters were as follows:
name: KA_78883_184
n: 584148355193642692353690744978354925886869666472333637426627484826598827806573691396247061553206932226096169381456426673069516613823
skew: 99110.54
# norm 8.57e+17
c5: 497700
c4: 122851189612
c3: -8645266071510265
c2: -21119987392820948152
c1: -36284533886279718415479076
c0: -633030753917508016558514862576
# alpha -6.37
Y1: 418763483160397
Y0: -16364794454905624951637645
# Murphy_E 6.84e-11
# M 329751227790015796650309790168068751435967672593239811350226193734559031771908868672019404080083234372634076517151269046393270511476
type: gnfs
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
qintsize: 60000
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 30300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2125526 hash collisions in 12895977 relations (11009969 unique)
Msieve: matrix is 1048576 x 1048801 (303.6 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,131,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5400000,5400000,27,27,51,51,2.5,2.5,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.55 BogoMIPS (lpj=2830779)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830450)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830462)
Total of 4 processors activated (22644.29 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 5, 2010 06:00:00 UTC 2010 年 2 月 5 日 (金) 15 時 0 分 0 秒 (日本時間)
403e61070300Dmitry DomanovMay 12, 2011 06:31:02 UTC 2011 年 5 月 12 日 (木) 15 時 31 分 2 秒 (日本時間)
770Ignacio SantosJuly 8, 2011 08:36:15 UTC 2011 年 7 月 8 日 (金) 17 時 36 分 15 秒 (日本時間)
4511e6220 / 4025Ignacio SantosJuly 8, 2011 08:36:15 UTC 2011 年 7 月 8 日 (金) 17 時 36 分 15 秒 (日本時間)
5043e661 / 7463Ignacio SantosJuly 8, 2011 08:36:15 UTC 2011 年 7 月 8 日 (金) 17 時 36 分 15 秒 (日本時間)

71×10185-539

c133

name 名前Dmitry Domanov
date 日付May 12, 2011 07:23:51 UTC 2011 年 5 月 12 日 (木) 16 時 23 分 51 秒 (日本時間)
composite number 合成数
3328040330324559033754696313387966637057185466792080544215429968403501384786452080165225139541531547390671765723437598349509985117863<133>
prime factors 素因数
6836252372194166255587528254664107267319<40>
486822333221789747608901972516008857760480851676418334497365481124344319374871069411758669777<93>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3169158868
Step 1 took 38687ms
Step 2 took 17888ms
********** Factor found in step 2: 6836252372194166255587528254664107267319
Found probable prime factor of 40 digits: 6836252372194166255587528254664107267319
Probable prime cofactor 486822333221789747608901972516008857760480851676418334497365481124344319374871069411758669777 has 93 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 5, 2010 06:00:00 UTC 2010 年 2 月 5 日 (金) 15 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovMay 12, 2011 06:31:09 UTC 2011 年 5 月 12 日 (木) 15 時 31 分 9 秒 (日本時間)

71×10186-539

c166

name 名前Rich Dickerson
date 日付April 20, 2014 14:26:36 UTC 2014 年 4 月 20 日 (日) 23 時 26 分 36 秒 (日本時間)
composite number 合成数
1793338415292844151418698881567943286007931405015910199158362061571826867662649787392790768676559569443898899351160219672421025221053201673938448851244927373532184893<166>
prime factors 素因数
107499728476426754673656572610671593821<39>
composite cofactor 合成数の残り
16682259952741175135921398296482372283589111627569988815313449041202758142103948841946756801868554751256830950350533396003092833<128>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1348784786
Step 1 took 7666ms
Step 2 took 2830ms
********** Factor found in step 2: 107499728476426754673656572610671593821
Found probable prime factor of 39 digits: 107499728476426754673656572610671593821
Composite cofactor 16682259952741175135921398296482372283589111627569988815313449041202758142103948841946756801868554751256830950350533396003092833 has 128 digits
software ソフトウェア
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
execution environment 実行環境
Core-i5, 3.4 GHz, OpenSUSE

c128

name 名前Cyp
date 日付April 24, 2014 19:14:23 UTC 2014 年 4 月 25 日 (金) 4 時 14 分 23 秒 (日本時間)
composite number 合成数
16682259952741175135921398296482372283589111627569988815313449041202758142103948841946756801868554751256830950350533396003092833<128>
prime factors 素因数
117765121725265144253896594503025295645868208570240742700545989<63>
141657051836275470742337720998937793467489608996461894884851497197<66>
factorization results 素因数分解の結果
04/24/14 07:35:19 v1.34.3, 
04/24/14 07:35:19 v1.34.3, ****************************
04/24/14 07:35:19 v1.34.3, Starting factorization of 16682259952741175135921398296482372283589111627569988815313449041202758142103948841946756801868554751256830950350533396003092833
04/24/14 07:35:19 v1.34.3, using pretesting plan: none
04/24/14 07:35:19 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
04/24/14 07:35:19 v1.34.3, ****************************
04/24/14 07:35:19 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C128
04/24/14 07:35:19 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C128
04/24/14 07:35:19 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C128
04/24/14 07:35:19 v1.34.3, final ECM pretested depth: 0.00
04/24/14 07:35:19 v1.34.3, scheduler: switching to sieve method
04/24/14 07:35:19 v1.34.3, nfs: commencing nfs on c128: 16682259952741175135921398296482372283589111627569988815313449041202758142103948841946756801868554751256830950350533396003092833
04/24/14 07:35:19 v1.34.3, nfs: commencing poly selection with 8 threads
04/24/14 07:35:19 v1.34.3, nfs: setting deadline of 5082 seconds
04/24/14 09:02:11 v1.34.3, nfs: completed 532 ranges of size 250 in 5211.4494 seconds
04/24/14 09:02:11 v1.34.3, nfs: best poly = # norm 3.566558e-12 alpha -7.276233 e 1.104e-10 rroots 3
04/24/14 09:02:11 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/24/14 09:12:35 v1.34.3, nfs: commencing lattice sieving with 8 threads
[57 lines snipped]
04/24/14 19:56:48 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/24/14 20:08:21 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/24/14 20:19:57 v1.34.3, nfs: commencing msieve filtering
04/24/14 20:25:16 v1.34.3, nfs: commencing msieve linear algebra
04/24/14 21:11:00 v1.34.3, nfs: commencing msieve sqrt
04/24/14 21:14:21 v1.34.3, prp63 = 117765121725265144253896594503025295645868208570240742700545989
04/24/14 21:14:21 v1.34.3, prp66 = 141657051836275470742337720998937793467489608996461894884851497197
04/24/14 21:14:22 v1.34.3, NFS elapsed time = 49142.2312 seconds.
04/24/14 21:14:22 v1.34.3, 
04/24/14 21:14:22 v1.34.3, 
04/24/14 21:14:22 v1.34.3, Total factoring time = 49142.2581 seconds
--
Thu Apr 24 20:19:57 2014  
Thu Apr 24 20:19:57 2014  commencing relation filtering
Thu Apr 24 20:19:57 2014  estimated available RAM is 15988.7 MB
Thu Apr 24 20:19:57 2014  commencing duplicate removal, pass 1
Thu Apr 24 20:21:24 2014  found 2734769 hash collisions in 21297417 relations
Thu Apr 24 20:21:48 2014  added 121394 free relations
Thu Apr 24 20:21:48 2014  commencing duplicate removal, pass 2
Thu Apr 24 20:22:10 2014  found 1676795 duplicates and 19742016 unique relations
Thu Apr 24 20:22:10 2014  memory use: 82.6 MB
Thu Apr 24 20:22:10 2014  reading ideals above 720000
Thu Apr 24 20:22:10 2014  commencing singleton removal, initial pass
Thu Apr 24 20:24:04 2014  memory use: 689.0 MB
Thu Apr 24 20:24:04 2014  reading all ideals from disk
Thu Apr 24 20:24:04 2014  memory use: 599.2 MB
Thu Apr 24 20:24:05 2014  keeping 21066006 ideals with weight <= 200, target excess is 121436
Thu Apr 24 20:24:07 2014  commencing in-memory singleton removal
Thu Apr 24 20:24:08 2014  begin with 19742016 relations and 21066006 unique ideals
Thu Apr 24 20:24:20 2014  reduce to 7914716 relations and 7160069 ideals in 18 passes
Thu Apr 24 20:24:20 2014  max relations containing the same ideal: 110
Thu Apr 24 20:24:24 2014  removing 1855088 relations and 1548197 ideals in 306891 cliques
Thu Apr 24 20:24:24 2014  commencing in-memory singleton removal
Thu Apr 24 20:24:24 2014  begin with 6059628 relations and 7160069 unique ideals
Thu Apr 24 20:24:29 2014  reduce to 5703653 relations and 5237486 ideals in 11 passes
Thu Apr 24 20:24:29 2014  max relations containing the same ideal: 86
Thu Apr 24 20:24:31 2014  removing 1408675 relations and 1101784 ideals in 306891 cliques
Thu Apr 24 20:24:31 2014  commencing in-memory singleton removal
Thu Apr 24 20:24:32 2014  begin with 4294978 relations and 5237486 unique ideals
Thu Apr 24 20:24:35 2014  reduce to 4006016 relations and 3830526 ideals in 11 passes
Thu Apr 24 20:24:35 2014  max relations containing the same ideal: 67
Thu Apr 24 20:24:36 2014  removing 260441 relations and 225817 ideals in 34624 cliques
Thu Apr 24 20:24:36 2014  commencing in-memory singleton removal
Thu Apr 24 20:24:36 2014  begin with 3745575 relations and 3830526 unique ideals
Thu Apr 24 20:24:39 2014  reduce to 3734133 relations and 3593156 ideals in 9 passes
Thu Apr 24 20:24:39 2014  max relations containing the same ideal: 62
Thu Apr 24 20:24:41 2014  relations with 0 large ideals: 490
Thu Apr 24 20:24:41 2014  relations with 1 large ideals: 2268
Thu Apr 24 20:24:41 2014  relations with 2 large ideals: 33361
Thu Apr 24 20:24:41 2014  relations with 3 large ideals: 198187
Thu Apr 24 20:24:41 2014  relations with 4 large ideals: 606549
Thu Apr 24 20:24:41 2014  relations with 5 large ideals: 1035530
Thu Apr 24 20:24:41 2014  relations with 6 large ideals: 1030693
Thu Apr 24 20:24:41 2014  relations with 7+ large ideals: 827055
Thu Apr 24 20:24:41 2014  commencing 2-way merge
Thu Apr 24 20:24:43 2014  reduce to 2132416 relation sets and 1991439 unique ideals
Thu Apr 24 20:24:43 2014  commencing full merge
Thu Apr 24 20:25:06 2014  memory use: 237.2 MB
Thu Apr 24 20:25:07 2014  found 1098542 cycles, need 1079639
Thu Apr 24 20:25:07 2014  weight of 1079639 cycles is about 75731417 (70.15/cycle)
Thu Apr 24 20:25:07 2014  distribution of cycle lengths:
Thu Apr 24 20:25:07 2014  1 relations: 136258
Thu Apr 24 20:25:07 2014  2 relations: 121908
Thu Apr 24 20:25:07 2014  3 relations: 119889
Thu Apr 24 20:25:07 2014  4 relations: 109023
Thu Apr 24 20:25:07 2014  5 relations: 101783
Thu Apr 24 20:25:07 2014  6 relations: 88591
Thu Apr 24 20:25:07 2014  7 relations: 79730
Thu Apr 24 20:25:07 2014  8 relations: 69208
Thu Apr 24 20:25:07 2014  9 relations: 58516
Thu Apr 24 20:25:07 2014  10+ relations: 194733
Thu Apr 24 20:25:07 2014  heaviest cycle: 19 relations
Thu Apr 24 20:25:07 2014  commencing cycle optimization
Thu Apr 24 20:25:09 2014  start with 6238894 relations
Thu Apr 24 20:25:15 2014  pruned 129482 relations
Thu Apr 24 20:25:15 2014  memory use: 213.1 MB
Thu Apr 24 20:25:15 2014  distribution of cycle lengths:
Thu Apr 24 20:25:15 2014  1 relations: 136258
Thu Apr 24 20:25:15 2014  2 relations: 124356
Thu Apr 24 20:25:15 2014  3 relations: 123471
Thu Apr 24 20:25:15 2014  4 relations: 111315
Thu Apr 24 20:25:15 2014  5 relations: 104011
Thu Apr 24 20:25:15 2014  6 relations: 89819
Thu Apr 24 20:25:15 2014  7 relations: 80756
Thu Apr 24 20:25:15 2014  8 relations: 69287
Thu Apr 24 20:25:15 2014  9 relations: 58184
Thu Apr 24 20:25:15 2014  10+ relations: 182182
Thu Apr 24 20:25:15 2014  heaviest cycle: 19 relations
Thu Apr 24 20:25:16 2014  RelProcTime: 319
Thu Apr 24 20:25:16 2014  
Thu Apr 24 20:25:16 2014  commencing linear algebra
Thu Apr 24 20:25:17 2014  read 1079639 cycles
Thu Apr 24 20:25:18 2014  cycles contain 3616053 unique relations
Thu Apr 24 20:25:46 2014  read 3616053 relations
Thu Apr 24 20:25:50 2014  using 20 quadratic characters above 268433762
Thu Apr 24 20:26:02 2014  building initial matrix
Thu Apr 24 20:26:30 2014  memory use: 465.2 MB
Thu Apr 24 20:26:31 2014  read 1079639 cycles
Thu Apr 24 20:26:31 2014  matrix is 1079496 x 1079639 (323.7 MB) with weight 102760939 (95.18/col)
Thu Apr 24 20:26:31 2014  sparse part has weight 72968438 (67.59/col)
Thu Apr 24 20:26:38 2014  filtering completed in 2 passes
Thu Apr 24 20:26:38 2014  matrix is 1078058 x 1078230 (323.5 MB) with weight 102703950 (95.25/col)
Thu Apr 24 20:26:38 2014  sparse part has weight 72951829 (67.66/col)
Thu Apr 24 20:26:42 2014  matrix starts at (0, 0)
Thu Apr 24 20:26:42 2014  matrix is 1078058 x 1078230 (323.5 MB) with weight 102703950 (95.25/col)
Thu Apr 24 20:26:42 2014  sparse part has weight 72951829 (67.66/col)
Thu Apr 24 20:26:42 2014  saving the first 48 matrix rows for later
Thu Apr 24 20:26:42 2014  matrix includes 64 packed rows
Thu Apr 24 20:26:42 2014  matrix is 1078010 x 1078230 (312.5 MB) with weight 81154488 (75.27/col)
Thu Apr 24 20:26:42 2014  sparse part has weight 71135982 (65.97/col)
Thu Apr 24 20:26:42 2014  using block size 65536 for processor cache size 8192 kB
Thu Apr 24 20:26:45 2014  commencing Lanczos iteration (8 threads)
Thu Apr 24 20:26:45 2014  memory use: 300.4 MB
Thu Apr 24 20:26:49 2014  linear algebra at 0.1%, ETA 0h47m
Thu Apr 24 20:26:50 2014  checkpointing every 1460000 dimensions
Thu Apr 24 21:10:59 2014  lanczos halted after 17051 iterations (dim = 1078010)
Thu Apr 24 21:11:00 2014  recovered 30 nontrivial dependencies
Thu Apr 24 21:11:00 2014  BLanczosTime: 2744
Thu Apr 24 21:11:00 2014  
Thu Apr 24 21:11:00 2014  commencing square root phase
Thu Apr 24 21:11:00 2014  reading relations for dependency 1
Thu Apr 24 21:11:00 2014  read 538996 cycles
Thu Apr 24 21:11:00 2014  cycles contain 1808878 unique relations
Thu Apr 24 21:11:23 2014  read 1808878 relations
Thu Apr 24 21:11:30 2014  multiplying 1808878 relations
Thu Apr 24 21:12:47 2014  multiply complete, coefficients have about 75.39 million bits
Thu Apr 24 21:12:48 2014  initial square root is modulo 258143
Thu Apr 24 21:14:21 2014  sqrtTime: 201
--
n: 16682259952741175135921398296482372283589111627569988815313449041202758142103948841946756801868554751256830950350533396003092833
skew: 775833.13
c0: -98962644853778118828442421391360
c1: -791582699841290231677187472
c2: 397246332859430378752
c3: 8449040887410377
c4: -1711815302
c5: 240
Y0: -9298417821803654795544767
Y1: 4932837168701
rlim: 8200000
alim: 8200000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 5, 2010 06:00:00 UTC 2010 年 2 月 5 日 (金) 15 時 0 分 0 秒 (日本時間)
403e61600 / 2318300Dmitry DomanovMay 12, 2011 06:31:17 UTC 2011 年 5 月 12 日 (木) 15 時 31 分 17 秒 (日本時間)
1000Dmitry DomanovJanuary 17, 2013 12:07:04 UTC 2013 年 1 月 17 日 (木) 21 時 7 分 4 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:55 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 55 秒 (日本時間)

71×10187-539

c182

name 名前Robert Backstrom
date 日付March 12, 2010 14:39:49 UTC 2010 年 3 月 12 日 (金) 23 時 39 分 49 秒 (日本時間)
composite number 合成数
69601108206490215113498331092863857193426479222059590900370719029442935276753122026329413026406170304893046133673143588948794856811404621925309776397127062312695820512270038183560081<182>
prime factors 素因数
1009081791755644926230568391189583909489296151<46>
68974694395580305596034734139909421702105976105209183739035246942827902605917709531563291378452820470175681825778960713131351301237569431<137>
factorization results 素因数分解の結果
Number: n
N=69601108206490215113498331092863857193426479222059590900370719029442935276753122026329413026406170304893046133673143588948794856811404621925309776397127062312695820512270038183560081
  ( 182 digits)
SNFS difficulty: 188 digits.
Divisors found:

Sat Mar 13 01:20:38 2010  prp46 factor: 1009081791755644926230568391189583909489296151
Sat Mar 13 01:20:38 2010  prp137 factor: 68974694395580305596034734139909421702105976105209183739035246942827902605917709531563291378452820470175681825778960713131351301237569431
Sat Mar 13 01:20:38 2010  elapsed time 05:36:30 (Msieve 1.42 - dependency 1)

Version: 
Total time: 11.72 hours.
Scaled time: 9.87 units (timescale=0.842).
Factorization parameters were as follows:
name: KA_7_8_186_3
n: 69601108206490215113498331092863857193426479222059590900370719029442935276753122026329413026406170304893046133673143588948794856811404621925309776397127062312695820512270038183560081
m: 10000000000000000000000000000000000000
deg: 5
c5: 7100
c0: -53
skew: 0.38
type: snfs
lss: 1
rlim: 9800000
alim: 9800000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 9800000/9800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 7778753)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4163773 hash collisions in 30416494 relations
Msieve: matrix is 1486434 x 1486660 (397.1 MB)

Total sieving time: 11.72 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,188,5,0,0,0,0,0,0,0,0,9800000,9800000,28,28,56,56,2.5,2.5,100000
total time: 11.72 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
351e6118Makoto KamadaFebruary 5, 2010 06:00:00 UTC 2010 年 2 月 5 日 (金) 15 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiFebruary 12, 2010 02:39:43 UTC 2010 年 2 月 12 日 (金) 11 時 39 分 43 秒 (日本時間)

71×10188-539

c134

name 名前Serge Batalov
date 日付February 6, 2010 06:22:21 UTC 2010 年 2 月 6 日 (土) 15 時 22 分 21 秒 (日本時間)
composite number 合成数
48382226261634030158337795575512945503633448706067864805019037596965111008648716069730444406953036361863350841188893119306118435067891<134>
prime factors 素因数
317527592748688130378706319621<30>
composite cofactor 合成数の残り
152371722541690581919622570946285224063075327233871869385425975540281369132581787751612273506443927518871<105>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=3708019389
Step 1 took 5221ms
Step 2 took 3252ms
********** Factor found in step 2: 317527592748688130378706319621
Found probable prime factor of 30 digits: 317527592748688130378706319621
Composite cofactor has 105 digits

c105

name 名前Dmitry Domanov
date 日付February 7, 2010 20:39:36 UTC 2010 年 2 月 8 日 (月) 5 時 39 分 36 秒 (日本時間)
composite number 合成数
152371722541690581919622570946285224063075327233871869385425975540281369132581787751612273506443927518871<105>
prime factors 素因数
20857903971267062275487155619388204740519<41>
7305226965834688537850332276042574241214801921804287260921681809<64>
factorization results 素因数分解の結果
Number: gg105
N=152371722541690581919622570946285224063075327233871869385425975540281369132581787751612273506443927518871
  ( 105 digits)
Divisors found:
 r1=20857903971267062275487155619388204740519 (pp41)
 r2=7305226965834688537850332276042574241214801921804287260921681809 (pp64)
Version: Msieve-1.40
Total time: 7.05 hours.
Scaled time: 13.12 units (timescale=1.860).
Factorization parameters were as follows:
name: gg105
n: 152371722541690581919622570946285224063075327233871869385425975540281369132581787751612273506443927518871
skew: 22757.96
# norm 4.73e+014
c5: 26100
c4: -466241525
c3: -32781910327252
c2: -7232905906217924
c1: 9042322308183568069392
c0: 40180029145388370167914809
# alpha -6.73
Y1: 207084079631
Y0: -89795868012027201632
# Murphy_E 2.04e-009
# M 96829874464144531266889596855078277419521309188319773389096219143643901456322952965176504183758663852177
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 250540 x 250765
Polynomial selection time: 0.74 hours.
Total sieving time: 6.17 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
gnfs,104,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 7.05 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 5, 2010 06:00:00 UTC 2010 年 2 月 5 日 (金) 15 時 0 分 0 秒 (日本時間)

71×10189-539

c181

name 名前matsui
date 日付January 15, 2011 08:23:03 UTC 2011 年 1 月 15 日 (土) 17 時 23 分 3 秒 (日本時間)
composite number 合成数
2482984163645103391539435158006909732332393862387530115900282607735489192153069729438179959856001020459769189931439582833248738430079828016749579300937631708507024864443699408609487<181>
prime factors 素因数
483129079939495296421228585695569<33>
2075139335868366675334433874028517949780227582713<49>
2476643564601162816827306436435084729448437148293488910762165076060515812292096121119507254035866071<100>
factorization results 素因数分解の結果
N=2482984163645103391539435158006909732332393862387530115900282607735489192153069729438179959856001020459769189931439582833248738430079828016749579300937631708507024864443699408609487
  ( 181 digits)
SNFS difficulty: 190 digits.
Divisors found:
 r1=483129079939495296421228585695569 (pp33)
 r2=2075139335868366675334433874028517949780227582713 (pp49)
 r3=2476643564601162816827306436435084729448437148293488910762165076060515812292096121119507254035866071 (pp100)
Version: Msieve v. 1.48
Total time:
Scaled time: 24.69 units (timescale=1.369).
Factorization parameters were as follows:
n: 2482984163645103391539435158006909732332393862387530115900282607735489192153069729438179959856001020459769189931439582833248738430079828016749579300937631708507024864443699408609487
m: 10000000000000000000000000000000000000
deg: 5
c5: 710000
c0: -53
skew: 0.15
type: snfs
lss: 1
rlim: 10600000
alim: 10600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10600000/10600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5300000, 27700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2532903 x 2533091
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,190.000,5,0,0,0,0,0,0,0,0,10600000,10600000,28,28,54,54,2.5,2.5,100000
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 KamadaFebruary 5, 2010 06:00:00 UTC 2010 年 2 月 5 日 (金) 15 時 0 分 0 秒 (日本時間)

71×10190-539

c191

name 名前Dmitry Domanov
date 日付February 17, 2010 19:06:04 UTC 2010 年 2 月 18 日 (木) 4 時 6 分 4 秒 (日本時間)
composite number 合成数
11269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269<191>
prime factors 素因数
6230124140101776007200403716091227278918873837366536643482420008408383<70>
1808927240678893510683319992075632951791314777588091566065876533430865830799059030679619725180575923873189071419954797643<121>
factorization results 素因数分解の結果
N=11269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269
  ( 191 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=6230124140101776007200403716091227278918873837366536643482420008408383 (pp70)
 r2=1808927240678893510683319992075632951791314777588091566065876533430865830799059030679619725180575923873189071419954797643 (pp121)
Version: Msieve-1.40
Total time: 325.53 hours.
Scaled time: 620.13 units (timescale=1.905).
Factorization parameters were as follows:
n: 11269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269
m: 100000000000000000000000000000000000000
deg: 5
c5: 71
c0: -53
skew: 0.94
type: snfs
lss: 1
rlim: 11000000
alim: 11000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 250000Factor base limits: 11000000/11000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5500000, 10500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2064725 x 2064951
Total sieving time: 319.37 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 5.63 hours.
Time per square root: 0.28 hours.
Prototype def-par.txt line would be:
snfs,191.000,5,0,0,0,0,0,0,0,0,11000000,11000000,28,28,54,54,2.5,2.5,100000
total time: 325.53 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 KamadaFebruary 5, 2010 06:00:00 UTC 2010 年 2 月 5 日 (金) 15 時 0 分 0 秒 (日本時間)

71×10191-539

c166

name 名前Dmitry Domanov
date 日付May 12, 2011 04:23:55 UTC 2011 年 5 月 12 日 (木) 13 時 23 分 55 秒 (日本時間)
composite number 合成数
3638692662034131927035373939278682868330864502394745781622940777553164816452631858130132335783068894154315410031879251351019191105646036965602264089422270798097213171<166>
prime factors 素因数
64473292093436483184197140194253<32>
composite cofactor 合成数の残り
56437209019214306530966919012862347601644264977703264850691845816244190970281974386728049920399140282848356217316628478145916023567807<134>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4025848233
Step 1 took 60121ms
Step 2 took 23743ms
********** Factor found in step 2: 64473292093436483184197140194253
Found probable prime factor of 32 digits: 64473292093436483184197140194253
Composite cofactor 56437209019214306530966919012862347601644264977703264850691845816244190970281974386728049920399140282848356217316628478145916023567807 has 134 digits

c134

name 名前Erik Branger
date 日付November 17, 2011 16:26:52 UTC 2011 年 11 月 18 日 (金) 1 時 26 分 52 秒 (日本時間)
composite number 合成数
56437209019214306530966919012862347601644264977703264850691845816244190970281974386728049920399140282848356217316628478145916023567807<134>
prime factors 素因数
753028532572335058119698429396858269118974897039<48>
74946972894141979793805085467681033030312796202839490704258529143170853416198933461713<86>
factorization results 素因数分解の結果
Number: 78883_191
N = 56437209019214306530966919012862347601644264977703264850691845816244190970281974386728049920399140282848356217316628478145916023567807 (134 digits)
Divisors found:
r1=753028532572335058119698429396858269118974897039 (pp48)
r2=74946972894141979793805085467681033030312796202839490704258529143170853416198933461713 (pp86)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 187.82 hours.
Factorization parameters were as follows:
# Murphy_E = 4.823e-11, selected by Erik Branger
n: 56437209019214306530966919012862347601644264977703264850691845816244190970281974386728049920399140282848356217316628478145916023567807
Y0: -91137464502514373151970763
Y1: 428460978687413
c0: 1118070030658099464777940767711360
c1: 28787765260283602595607560628
c2: 14377233952695551580047
c3: -25998407211041312
c4: -8905994200
c5: 8976
skew: 1251177.57
type: gnfs
# selected mechanically
rlim: 12400000
alim: 12400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 12400000/12400000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [6200000, 14200000)
Relations: 21170533
Relations in full relation-set: 2636532 relations
Pruned matrix : 1657135 x 1657366
Polynomial selection time: 0.00 hours.
Total sieving time: 184.43 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 3.01 hours.
time per square root: 0.26 hours.
Prototype def-par.txt line would be: gnfs,133,5,65,2000,1e-05,0.28,250,20,50000,3600,12400000,12400000,28,28,54,54,2.6,2.6,100000
total time: 187.82 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
351e6118Makoto KamadaFebruary 5, 2010 06:00:00 UTC 2010 年 2 月 5 日 (金) 15 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovMay 12, 2011 04:23:46 UTC 2011 年 5 月 12 日 (木) 13 時 23 分 46 秒 (日本時間)
4511e64600Wataru SakaiMay 16, 2011 00:33:10 UTC 2011 年 5 月 16 日 (月) 9 時 33 分 10 秒 (日本時間)

71×10192-539

c182

name 名前Robert Backstrom
date 日付March 24, 2012 04:11:08 UTC 2012 年 3 月 24 日 (土) 13 時 11 分 8 秒 (日本時間)
composite number 合成数
11533891966308860632258929058012113542700160573529107512716774603578788660100456319476901437501168897905350714544932150440385624968093277963668315155237779778423412281777323964626371<182>
prime factors 素因数
7208639628375586975185845502887366300489081<43>
1600009510935690500268410569974972276067269310406810246765131220073968896745008229247092916476490544997842431912506152063674288641658520091<139>
factorization results 素因数分解の結果
Number: n
N=11533891966308860632258929058012113542700160573529107512716774603578788660100456319476901437501168897905350714544932150440385624968093277963668315155237779778423412281777323964626371
  ( 182 digits)
SNFS difficulty: 193 digits.
Divisors found:

Sat Mar 24 15:05:51 2012  prp43 factor: 7208639628375586975185845502887366300489081
Sat Mar 24 15:05:51 2012  prp139 factor: 1600009510935690500268410569974972276067269310406810246765131220073968896745008229247092916476490544997842431912506152063674288641658520091
Sat Mar 24 15:05:51 2012  elapsed time 05:02:28 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.659).
Factorization parameters were as follows:
name: KA_78883_192
n: 11533891966308860632258929058012113542700160573529107512716774603578788660100456319476901437501168897905350714544932150440385624968093277963668315155237779778423412281777323964626371
m: 100000000000000000000000000000000000000
#  c182, diff: 193.85
skew: 0.38
deg: 5
c5: 7100
c0: -53
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 21300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10773857 hash collisions in 80503704 relations (71713691 unique)
Msieve: matrix is 1680178 x 1680405 (472.5 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.73 BogoMIPS (lpj=2797867)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797563)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.09 BogoMIPS (lpj=2797547)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Total of 8 processors activated (44761.49 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 5, 2010 06:00:00 UTC 2010 年 2 月 5 日 (金) 15 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovMay 12, 2011 06:31:31 UTC 2011 年 5 月 12 日 (木) 15 時 31 分 31 秒 (日本時間)

71×10194-539

c157

name 名前Dmitry Domanov
date 日付January 22, 2013 16:48:21 UTC 2013 年 1 月 23 日 (水) 1 時 48 分 21 秒 (日本時間)
composite number 合成数
1029393801373521164749176237049809530647742902803914220889575740846128329384468770418265952992624148903301063604815336849006517753428372316606031000975260069<157>
prime factors 素因数
89737810645358477293160101234746968701<38>
52146899506151070046593898136972854536393450393799<50>
219977158219012977620657740806051148190484000544602271140316114578031<69>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2565781898
Step 1 took 101625ms
Step 2 took 32815ms
********** Factor found in step 2: 89737810645358477293160101234746968701
Found probable prime factor of 38 digits: 89737810645358477293160101234746968701
Composite cofactor 11471126763295563642036005792480749060283934049543577009029572280909757501831055574731522156035336332364687901664029769 has 119 digits

Tue Jan 22 19:43:31 2013  commencing relation filtering
Tue Jan 22 19:43:31 2013  estimated available RAM is 48289.8 MB
Tue Jan 22 19:43:31 2013  commencing duplicate removal, pass 1
Tue Jan 22 19:45:35 2013  found 926655 hash collisions in 10543306 relations
Tue Jan 22 19:45:55 2013  added 62821 free relations
Tue Jan 22 19:45:55 2013  commencing duplicate removal, pass 2
Tue Jan 22 19:45:59 2013  found 633804 duplicates and 9972323 unique relations
Tue Jan 22 19:45:59 2013  memory use: 49.3 MB
Tue Jan 22 19:45:59 2013  reading ideals above 100000
Tue Jan 22 19:45:59 2013  commencing singleton removal, initial pass
Tue Jan 22 19:48:17 2013  memory use: 344.5 MB
Tue Jan 22 19:48:17 2013  reading all ideals from disk
Tue Jan 22 19:48:17 2013  memory use: 352.2 MB
Tue Jan 22 19:48:18 2013  keeping 10906638 ideals with weight <= 200, target excess is 51586
Tue Jan 22 19:48:19 2013  commencing in-memory singleton removal
Tue Jan 22 19:48:20 2013  begin with 9972323 relations and 10906638 unique ideals
Tue Jan 22 19:48:27 2013  reduce to 3702520 relations and 3504352 ideals in 20 passes
Tue Jan 22 19:48:27 2013  max relations containing the same ideal: 103
Tue Jan 22 19:48:29 2013  removing 623395 relations and 554231 ideals in 69164 cliques
Tue Jan 22 19:48:29 2013  commencing in-memory singleton removal
Tue Jan 22 19:48:29 2013  begin with 3079125 relations and 3504352 unique ideals
Tue Jan 22 19:48:31 2013  reduce to 3001681 relations and 2870641 ideals in 9 passes
Tue Jan 22 19:48:31 2013  max relations containing the same ideal: 90
Tue Jan 22 19:48:32 2013  removing 458792 relations and 389628 ideals in 69164 cliques
Tue Jan 22 19:48:33 2013  commencing in-memory singleton removal
Tue Jan 22 19:48:33 2013  begin with 2542889 relations and 2870641 unique ideals
Tue Jan 22 19:48:34 2013  reduce to 2487894 relations and 2424703 ideals in 9 passes
Tue Jan 22 19:48:34 2013  max relations containing the same ideal: 78
Tue Jan 22 19:48:36 2013  relations with 0 large ideals: 133
Tue Jan 22 19:48:36 2013  relations with 1 large ideals: 506
Tue Jan 22 19:48:36 2013  relations with 2 large ideals: 7533
Tue Jan 22 19:48:36 2013  relations with 3 large ideals: 58908
Tue Jan 22 19:48:36 2013  relations with 4 large ideals: 240090
Tue Jan 22 19:48:36 2013  relations with 5 large ideals: 553878
Tue Jan 22 19:48:36 2013  relations with 6 large ideals: 742338
Tue Jan 22 19:48:36 2013  relations with 7+ large ideals: 884508
Tue Jan 22 19:48:36 2013  commencing 2-way merge
Tue Jan 22 19:48:37 2013  reduce to 1420990 relation sets and 1357801 unique ideals
Tue Jan 22 19:48:37 2013  ignored 2 oversize relation sets
Tue Jan 22 19:48:37 2013  commencing full merge
Tue Jan 22 19:49:02 2013  memory use: 153.5 MB
Tue Jan 22 19:49:02 2013  found 697317 cycles, need 688001
Tue Jan 22 19:49:02 2013  weight of 688001 cycles is about 48478313 (70.46/cycle)
Tue Jan 22 19:49:02 2013  distribution of cycle lengths:
Tue Jan 22 19:49:02 2013  1 relations: 81396
Tue Jan 22 19:49:02 2013  2 relations: 78699
Tue Jan 22 19:49:02 2013  3 relations: 77902
Tue Jan 22 19:49:02 2013  4 relations: 69020
Tue Jan 22 19:49:02 2013  5 relations: 63631
Tue Jan 22 19:49:02 2013  6 relations: 54061
Tue Jan 22 19:49:02 2013  7 relations: 47555
Tue Jan 22 19:49:02 2013  8 relations: 40753
Tue Jan 22 19:49:02 2013  9 relations: 34713
Tue Jan 22 19:49:02 2013  10+ relations: 140271
Tue Jan 22 19:49:02 2013  heaviest cycle: 23 relations
Tue Jan 22 19:49:02 2013  commencing cycle optimization
Tue Jan 22 19:49:03 2013  start with 4188175 relations
Tue Jan 22 19:49:09 2013  pruned 83854 relations
Tue Jan 22 19:49:09 2013  memory use: 141.7 MB
Tue Jan 22 19:49:09 2013  distribution of cycle lengths:
Tue Jan 22 19:49:09 2013  1 relations: 81396
Tue Jan 22 19:49:09 2013  2 relations: 80277
Tue Jan 22 19:49:09 2013  3 relations: 80196
Tue Jan 22 19:49:09 2013  4 relations: 70279
Tue Jan 22 19:49:09 2013  5 relations: 64731
Tue Jan 22 19:49:09 2013  6 relations: 54689
Tue Jan 22 19:49:09 2013  7 relations: 47801
Tue Jan 22 19:49:09 2013  8 relations: 40748
Tue Jan 22 19:49:09 2013  9 relations: 34540
Tue Jan 22 19:49:09 2013  10+ relations: 133344
Tue Jan 22 19:49:09 2013  heaviest cycle: 23 relations
Tue Jan 22 19:49:10 2013  RelProcTime: 339
Tue Jan 22 19:49:10 2013  
Tue Jan 22 19:49:10 2013  commencing linear algebra
Tue Jan 22 19:49:10 2013  read 688001 cycles
Tue Jan 22 19:49:11 2013  cycles contain 2396140 unique relations
Tue Jan 22 19:49:40 2013  read 2396140 relations
Tue Jan 22 19:49:43 2013  using 20 quadratic characters above 134215112
Tue Jan 22 19:49:56 2013  building initial matrix
Tue Jan 22 19:50:21 2013  memory use: 307.6 MB
Tue Jan 22 19:50:21 2013  read 688001 cycles
Tue Jan 22 19:50:22 2013  matrix is 687825 x 688001 (207.3 MB) with weight 65713400 (95.51/col)
Tue Jan 22 19:50:22 2013  sparse part has weight 46763747 (67.97/col)
Tue Jan 22 19:50:28 2013  filtering completed in 2 passes
Tue Jan 22 19:50:28 2013  matrix is 686145 x 686319 (207.1 MB) with weight 65639664 (95.64/col)
Tue Jan 22 19:50:28 2013  sparse part has weight 46739521 (68.10/col)
Tue Jan 22 19:50:30 2013  matrix starts at (0, 0)
Tue Jan 22 19:50:30 2013  matrix is 686145 x 686319 (207.1 MB) with weight 65639664 (95.64/col)
Tue Jan 22 19:50:30 2013  sparse part has weight 46739521 (68.10/col)
Tue Jan 22 19:50:30 2013  saving the first 48 matrix rows for later
Tue Jan 22 19:50:30 2013  matrix includes 64 packed rows
Tue Jan 22 19:50:30 2013  matrix is 686097 x 686319 (199.3 MB) with weight 52032033 (75.81/col)
Tue Jan 22 19:50:30 2013  sparse part has weight 45387682 (66.13/col)
Tue Jan 22 19:50:30 2013  using block size 262144 for processor cache size 12288 kB
Tue Jan 22 19:50:32 2013  commencing Lanczos iteration (16 threads)
Tue Jan 22 19:50:32 2013  memory use: 291.2 MB
Tue Jan 22 19:50:39 2013  linear algebra at 0.4%, ETA 0h26m
Tue Jan 22 20:16:26 2013  lanczos halted after 10852 iterations (dim = 686093)
Tue Jan 22 20:16:28 2013  recovered 29 nontrivial dependencies
Tue Jan 22 20:16:28 2013  BLanczosTime: 1638
Tue Jan 22 20:16:28 2013  
Tue Jan 22 20:16:28 2013  commencing square root phase
Tue Jan 22 20:16:28 2013  reading relations for dependency 1
Tue Jan 22 20:16:28 2013  read 343106 cycles
Tue Jan 22 20:16:28 2013  cycles contain 1197326 unique relations
Tue Jan 22 20:16:44 2013  read 1197326 relations
Tue Jan 22 20:16:49 2013  multiplying 1197326 relations
Tue Jan 22 20:18:11 2013  multiply complete, coefficients have about 53.23 million bits
Tue Jan 22 20:18:11 2013  initial square root is modulo 43830901
Tue Jan 22 20:20:02 2013  sqrtTime: 214

prp50 = 52146899506151070046593898136972854536393450393799
prp69 = 219977158219012977620657740806051148190484000544602271140316114578031
NFS elapsed time = 11709.1529 seconds.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 5, 2010 06:00:00 UTC 2010 年 2 月 5 日 (金) 15 時 0 分 0 秒 (日本時間)
403e61300300Dmitry DomanovMay 12, 2011 06:31:40 UTC 2011 年 5 月 12 日 (木) 15 時 31 分 40 秒 (日本時間)
1000Dmitry DomanovJanuary 17, 2013 12:07:34 UTC 2013 年 1 月 17 日 (木) 21 時 7 分 34 秒 (日本時間)
4511e61000 / 4188Dmitry DomanovJanuary 21, 2013 15:41:34 UTC 2013 年 1 月 22 日 (火) 0 時 41 分 34 秒 (日本時間)

71×10196-539

c169

name 名前Serge Batalov
date 日付February 6, 2010 06:02:52 UTC 2010 年 2 月 6 日 (土) 15 時 2 分 52 秒 (日本時間)
composite number 合成数
2029914361675878728985553220071385303976483593095895186413257420495123957709303606518677663143332708084074060279803876531309775797934753500295285656921780483921912407539<169>
prime factors 素因数
299251890891106827900051701<27>
6783296692399291883224889528959509788585779785172566827847297028034411112962045501196046970290167208818431453998848744346937221504045553351239<142>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=1483934712
Step 1 took 6996ms
Step 2 took 4009ms
********** Factor found in step 2: 299251890891106827900051701
Found probable prime factor of 27 digits: 299251890891106827900051701
Probable prime cofactor has 142 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 5, 2010 06:00:00 UTC 2010 年 2 月 5 日 (金) 15 時 0 分 0 秒 (日本時間)

71×10197-539

c170

name 名前Serge Batalov
date 日付February 6, 2010 06:12:47 UTC 2010 年 2 月 6 日 (土) 15 時 12 分 47 秒 (日本時間)
composite number 合成数
62686183987277002995623977976903547869336658494314874963593870179076681373914712575824615948679302071681439436424104220437630484064713029275888301514542170820672894731893<170>
prime factors 素因数
133788433863695211334504630023991<33>
composite cofactor 合成数の残り
468547109618924291707160175095059715120729587902877960090944552539251695701309353378663470096945751425823946580950849521404594875464691123<138>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=929329832
Step 1 took 7189ms
Step 2 took 4012ms
********** Factor found in step 2: 133788433863695211334504630023991
Found probable prime factor of 33 digits: 133788433863695211334504630023991
Composite cofactor has 138 digits

c138

name 名前Wataru Sakai
date 日付February 11, 2010 05:09:23 UTC 2010 年 2 月 11 日 (木) 14 時 9 分 23 秒 (日本時間)
composite number 合成数
468547109618924291707160175095059715120729587902877960090944552539251695701309353378663470096945751425823946580950849521404594875464691123<138>
prime factors 素因数
20472018861811606633557352403955383<35>
composite cofactor 合成数の残り
22887196069018358430967113588028545103400263743949289030276475182053585129902989899707477561025033239781<104>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3153879867
Step 1 took 42533ms
Step 2 took 14758ms
********** Factor found in step 2: 20472018861811606633557352403955383
Found probable prime factor of 35 digits: 20472018861811606633557352403955383
Composite cofactor 22887196069018358430967113588028545103400263743949289030276475182053585129902989899707477561025033239781 has 104 digits
software ソフトウェア
GMP-ECM 6.2.1

c104

name 名前Max Dettweiler
date 日付February 12, 2010 17:50:26 UTC 2010 年 2 月 13 日 (土) 2 時 50 分 26 秒 (日本時間)
composite number 合成数
22887196069018358430967113588028545103400263743949289030276475182053585129902989899707477561025033239781<104>
prime factors 素因数
1057694401269606440789833139190542166751371269385919<52>
21638760724785579316737674092740954964541440721150299<53>
factorization results 素因数分解の結果
Number: c104
N = 22887196069018358430967113588028545103400263743949289030276475182053585129902989899707477561025033239781 (104 digits)
Divisors found:
r1=1057694401269606440789833139190542166751371269385919 (pp52)
r2=21638760724785579316737674092740954964541440721150299 (pp53)
Version: Msieve v. 1.43
Total time: 5.70 hours.
Factorization parameters were as follows:
n: 22887196069018358430967113588028545103400263743949289030276475182053585129902989899707477561025033239781
Y0: -91339417861221524877
Y1: 20860848121
c0: 1255298609478902359090864
c1: 254993031657574380012
c2: 5910615911184796
c3: -1822129702617
c4: -40194950
c5: 3600
skew: 16774.12  
type: gnfs
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Sieved algebraic special-q in [1150000, 1750000)
Relations: 4516867 relations
Pruned matrix : 257170 x 257397
Polynomial selection time: 0.45 hours.
Total sieving time: 4.83 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.17 hours.
time per square root: 0.21 hours.
Prototype def-par.txt line would be: gnfs,103,5,59,2000,0.0009,0.35,200,15,15000,2000,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 5.70 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS + msieve v1.43 w/factmsieve.py
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
351e6118Makoto KamadaFebruary 5, 2010 06:00:00 UTC 2010 年 2 月 5 日 (金) 15 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiFebruary 11, 2010 05:08:58 UTC 2010 年 2 月 11 日 (木) 14 時 8 分 58 秒 (日本時間)

71×10198-539

c147

name 名前Dmitry Domanov
date 日付January 15, 2013 11:22:33 UTC 2013 年 1 月 15 日 (火) 20 時 22 分 33 秒 (日本時間)
composite number 合成数
590621026682526191952458426117041186756756288782652912426690690508813611718096262767217351808106755204133586739351811047234965980701650587583206543<147>
prime factors 素因数
12508473779525822213809878500930218897<38>
47217673162434031474755196579787997975074839028417460881549827274890561196788215663292142750496543954605567519<110>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2694245052
Step 1 took 16402ms
Step 2 took 7268ms
********** Factor found in step 2: 12508473779525822213809878500930218897
Found probable prime factor of 38 digits: 12508473779525822213809878500930218897

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 5, 2010 06:00:00 UTC 2010 年 2 月 5 日 (金) 15 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovMay 12, 2011 06:31:50 UTC 2011 年 5 月 12 日 (木) 15 時 31 分 50 秒 (日本時間)

71×10199-539

c200

name 名前Dmitry Domanov
date 日付March 7, 2010 13:47:17 UTC 2010 年 3 月 7 日 (日) 22 時 47 分 17 秒 (日本時間)
composite number 合成数
78888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883<200>
prime factors 素因数
2620445357593988067594558202381042288073230253246743639<55>
2343055626697146054647226411149363946050639708685760334060778149030139553<73>
12848668723094517746566409994005639649373248399136363818887697827426651749<74>
factorization results 素因数分解の結果
Sieving took about 30 cpu-days on Dual Xeon E5420

Wed Mar 03 11:02:36 2010  Msieve v. 1.42
Wed Mar 03 11:02:36 2010  random seeds: 3c3cfac0 c32c5480
Wed Mar 03 11:02:36 2010  factoring 78888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883 (200 digits)
Wed Mar 03 11:02:38 2010  searching for 15-digit factors
Wed Mar 03 11:02:39 2010  commencing number field sieve (200-digit input)
Wed Mar 03 11:02:39 2010  R0: -1000000000000000000000000000000000000000
Wed Mar 03 11:02:39 2010  R1:  1
Wed Mar 03 11:02:39 2010  A0: -53
Wed Mar 03 11:02:39 2010  A1:  0
Wed Mar 03 11:02:39 2010  A2:  0
Wed Mar 03 11:02:39 2010  A3:  0
Wed Mar 03 11:02:39 2010  A4:  0
Wed Mar 03 11:02:39 2010  A5:  710000
Wed Mar 03 11:02:39 2010  skew 0.15, size 2.028408e-014, alpha 0.050895, combined = 8.090708e-012
Wed Mar 03 11:02:39 2010  
Wed Mar 03 11:02:39 2010  commencing relation filtering
Wed Mar 03 11:02:39 2010  estimated available RAM is 4096.0 MB
Wed Mar 03 11:02:39 2010  commencing duplicate removal, pass 1
Wed Mar 03 11:02:46 2010  error -15 reading relation 786787
Wed Mar 03 11:02:47 2010  error -15 reading relation 860620
Wed Mar 03 11:02:47 2010  error -15 reading relation 860993
Wed Mar 03 11:02:47 2010  error -9 reading relation 861027
Wed Mar 03 11:02:47 2010  error -9 reading relation 873927
Wed Mar 03 11:02:47 2010  error -11 reading relation 879003
Wed Mar 03 11:02:47 2010  error -9 reading relation 879036
Wed Mar 03 11:02:47 2010  error -11 reading relation 879071
Wed Mar 03 11:02:47 2010  error -9 reading relation 890171
Wed Mar 03 11:02:47 2010  error -11 reading relation 890205
Wed Mar 03 11:02:47 2010  error -5 reading relation 890240
Wed Mar 03 11:02:47 2010  error -1 reading relation 893649
Wed Mar 03 11:02:48 2010  error -9 reading relation 926045
Wed Mar 03 11:02:48 2010  error -9 reading relation 926080
Wed Mar 03 11:02:48 2010  error -9 reading relation 951447
Wed Mar 03 11:02:48 2010  error -1 reading relation 951481
Wed Mar 03 11:02:48 2010  error -11 reading relation 966734
Wed Mar 03 11:02:48 2010  error -11 reading relation 975863
Wed Mar 03 11:02:49 2010  error -9 reading relation 1037847
Wed Mar 03 11:02:49 2010  error -11 reading relation 1037881
Wed Mar 03 11:02:49 2010  error -15 reading relation 1037914
Wed Mar 03 11:02:49 2010  error -5 reading relation 1062559
Wed Mar 03 11:02:49 2010  error -11 reading relation 1062593
Wed Mar 03 11:02:49 2010  error -11 reading relation 1077935
Wed Mar 03 11:02:49 2010  error -1 reading relation 1077969
Wed Mar 03 11:02:49 2010  error -15 reading relation 1086994
Wed Mar 03 11:02:49 2010  error -15 reading relation 1087028
Wed Mar 03 11:02:50 2010  error -11 reading relation 1150331
Wed Mar 03 11:02:50 2010  error -9 reading relation 1174665
Wed Mar 03 11:02:50 2010  error -9 reading relation 1189533
Wed Mar 03 11:02:50 2010  error -15 reading relation 1198559
Wed Mar 03 11:02:51 2010  error -9 reading relation 1267523
Wed Mar 03 11:02:51 2010  error -11 reading relation 1291885
Wed Mar 03 11:02:51 2010  error -9 reading relation 1306889
Wed Mar 03 11:02:51 2010  error -15 reading relation 1306923
Wed Mar 03 11:02:51 2010  error -11 reading relation 1306956
Wed Mar 03 11:02:51 2010  error -11 reading relation 1315858
Wed Mar 03 11:02:51 2010  error -11 reading relation 1315891
Wed Mar 03 11:02:52 2010  error -15 reading relation 1379138
Wed Mar 03 11:02:52 2010  error -9 reading relation 1379173
Wed Mar 03 11:02:52 2010  error -15 reading relation 1403998
Wed Mar 03 11:02:52 2010  error -11 reading relation 1418793
Wed Mar 03 11:02:52 2010  error -11 reading relation 1427829
Wed Mar 03 11:02:53 2010  error -15 reading relation 1488143
Wed Mar 03 11:02:53 2010  error -11 reading relation 1512127
Wed Mar 03 11:02:53 2010  error -5 reading relation 1526914
Wed Mar 03 11:02:53 2010  error -11 reading relation 1535927
Wed Mar 03 11:02:59 2010  error -6 reading relation 2241927
Wed Mar 03 11:03:12 2010  error -11 reading relation 3678124
Wed Mar 03 11:03:27 2010  error -11 reading relation 5386624
Wed Mar 03 11:03:35 2010  error -6 reading relation 6247950
Wed Mar 03 11:04:36 2010  error -11 reading relation 13301132
Wed Mar 03 11:05:06 2010  error -6 reading relation 16667108
Wed Mar 03 11:05:17 2010  error -6 reading relation 17970236
Wed Mar 03 11:05:22 2010  error -11 reading relation 18517704
Wed Mar 03 11:05:36 2010  error -11 reading relation 20041062
Wed Mar 03 11:05:41 2010  error -6 reading relation 20637769
Wed Mar 03 11:05:42 2010  error -6 reading relation 20715077
Wed Mar 03 11:05:47 2010  error -6 reading relation 21352807
Wed Mar 03 11:05:52 2010  error -6 reading relation 21920170
Wed Mar 03 11:05:53 2010  error -11 reading relation 22021845
Wed Mar 03 11:06:50 2010  error -6 reading relation 27087288
Wed Mar 03 11:07:07 2010  error -6 reading relation 29067316
Wed Mar 03 11:07:07 2010  error -11 reading relation 29085127
Wed Mar 03 11:07:07 2010  error -11 reading relation 29085128
Wed Mar 03 11:07:51 2010  error -11 reading relation 34084703
Wed Mar 03 11:07:51 2010  error -6 reading relation 34096986
Wed Mar 03 11:07:56 2010  error -6 reading relation 34678473
Wed Mar 03 11:07:56 2010  error -11 reading relation 34678474
Wed Mar 03 11:08:22 2010  error -11 reading relation 37557476
Wed Mar 03 11:08:23 2010  error -6 reading relation 37707473
Wed Mar 03 11:08:24 2010  error -11 reading relation 37803031
Wed Mar 03 11:08:25 2010  error -11 reading relation 37966702
Wed Mar 03 11:08:26 2010  error -6 reading relation 37970028
Wed Mar 03 11:08:46 2010  found 5230747 hash collisions in 40308174 relations
Wed Mar 03 11:09:40 2010  commencing duplicate removal, pass 2
Wed Mar 03 11:10:58 2010  found 4553187 duplicates and 35754987 unique relations
Wed Mar 03 11:10:58 2010  memory use: 197.2 MB
Wed Mar 03 11:10:58 2010  reading ideals above 23920640
Wed Mar 03 11:10:58 2010  commencing singleton removal, initial pass
Wed Mar 03 11:17:16 2010  memory use: 596.8 MB
Wed Mar 03 11:17:16 2010  reading all ideals from disk
Wed Mar 03 11:17:17 2010  memory use: 629.5 MB
Wed Mar 03 11:17:21 2010  commencing in-memory singleton removal
Wed Mar 03 11:17:24 2010  begin with 35754987 relations and 36034498 unique ideals
Wed Mar 03 11:18:01 2010  reduce to 14070146 relations and 10947730 ideals in 19 passes
Wed Mar 03 11:18:01 2010  max relations containing the same ideal: 33
Wed Mar 03 11:18:04 2010  reading ideals above 720000
Wed Mar 03 11:18:04 2010  commencing singleton removal, initial pass
Wed Mar 03 11:21:24 2010  memory use: 298.4 MB
Wed Mar 03 11:21:24 2010  reading all ideals from disk
Wed Mar 03 11:21:25 2010  memory use: 482.0 MB
Wed Mar 03 11:21:28 2010  commencing in-memory singleton removal
Wed Mar 03 11:21:31 2010  begin with 14070301 relations and 13837017 unique ideals
Wed Mar 03 11:22:15 2010  reduce to 14040651 relations and 13806601 ideals in 14 passes
Wed Mar 03 11:22:15 2010  max relations containing the same ideal: 183
Wed Mar 03 11:22:30 2010  removing 765612 relations and 716228 ideals in 49384 cliques
Wed Mar 03 11:22:31 2010  commencing in-memory singleton removal
Wed Mar 03 11:22:33 2010  begin with 13275039 relations and 13806601 unique ideals
Wed Mar 03 11:23:07 2010  reduce to 13239518 relations and 13054632 ideals in 11 passes
Wed Mar 03 11:23:07 2010  max relations containing the same ideal: 176
Wed Mar 03 11:23:20 2010  removing 547874 relations and 498490 ideals in 49384 cliques
Wed Mar 03 11:23:21 2010  commencing in-memory singleton removal
Wed Mar 03 11:23:24 2010  begin with 12691644 relations and 13054632 unique ideals
Wed Mar 03 11:23:47 2010  reduce to 12672403 relations and 12536833 ideals in 8 passes
Wed Mar 03 11:23:47 2010  max relations containing the same ideal: 168
Wed Mar 03 11:24:03 2010  relations with 0 large ideals: 3007
Wed Mar 03 11:24:03 2010  relations with 1 large ideals: 209
Wed Mar 03 11:24:03 2010  relations with 2 large ideals: 5817
Wed Mar 03 11:24:03 2010  relations with 3 large ideals: 62796
Wed Mar 03 11:24:03 2010  relations with 4 large ideals: 374081
Wed Mar 03 11:24:03 2010  relations with 5 large ideals: 1303963
Wed Mar 03 11:24:03 2010  relations with 6 large ideals: 2918903
Wed Mar 03 11:24:03 2010  relations with 7+ large ideals: 8003627
Wed Mar 03 11:24:03 2010  commencing 2-way merge
Wed Mar 03 11:24:23 2010  reduce to 7270953 relation sets and 7135385 unique ideals
Wed Mar 03 11:24:23 2010  ignored 2 oversize relation sets
Wed Mar 03 11:24:23 2010  commencing full merge
Wed Mar 03 11:27:53 2010  memory use: 754.6 MB
Wed Mar 03 11:27:55 2010  found 3793737 cycles, need 3781585
Wed Mar 03 11:27:55 2010  weight of 3781585 cycles is about 264721485 (70.00/cycle)
Wed Mar 03 11:27:55 2010  distribution of cycle lengths:
Wed Mar 03 11:27:55 2010  1 relations: 583375
Wed Mar 03 11:27:55 2010  2 relations: 516721
Wed Mar 03 11:27:55 2010  3 relations: 479760
Wed Mar 03 11:27:55 2010  4 relations: 412490
Wed Mar 03 11:27:55 2010  5 relations: 339768
Wed Mar 03 11:27:55 2010  6 relations: 284109
Wed Mar 03 11:27:55 2010  7 relations: 230622
Wed Mar 03 11:27:55 2010  8 relations: 184055
Wed Mar 03 11:27:55 2010  9 relations: 147742
Wed Mar 03 11:27:55 2010  10+ relations: 602943
Wed Mar 03 11:27:55 2010  heaviest cycle: 28 relations
Wed Mar 03 11:27:57 2010  commencing cycle optimization
Wed Mar 03 11:28:07 2010  start with 20735082 relations
Wed Mar 03 12:15:55 2010  
Wed Mar 03 12:15:55 2010  
Wed Mar 03 12:15:55 2010  Msieve v. 1.42
Wed Mar 03 12:15:55 2010  random seeds: 31a902a4 65bc5e58
Wed Mar 03 12:15:55 2010  factoring 78888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883 (200 digits)
Wed Mar 03 12:15:57 2010  searching for 15-digit factors
Wed Mar 03 12:15:59 2010  commencing number field sieve (200-digit input)
Wed Mar 03 12:15:59 2010  R0: -1000000000000000000000000000000000000000
Wed Mar 03 12:15:59 2010  R1:  1
Wed Mar 03 12:15:59 2010  A0: -53
Wed Mar 03 12:15:59 2010  A1:  0
Wed Mar 03 12:15:59 2010  A2:  0
Wed Mar 03 12:15:59 2010  A3:  0
Wed Mar 03 12:15:59 2010  A4:  0
Wed Mar 03 12:15:59 2010  A5:  710000
Wed Mar 03 12:15:59 2010  skew 0.15, size 2.028408e-014, alpha 0.050895, combined = 8.090708e-012
Wed Mar 03 12:15:59 2010  
Wed Mar 03 12:15:59 2010  commencing relation filtering
Wed Mar 03 12:15:59 2010  estimated available RAM is 4096.0 MB
Wed Mar 03 12:15:59 2010  commencing duplicate removal, pass 1
Wed Mar 03 12:16:06 2010  error -15 reading relation 786787
Wed Mar 03 12:16:07 2010  error -15 reading relation 860620
Wed Mar 03 12:16:07 2010  error -15 reading relation 860993
Wed Mar 03 12:16:07 2010  error -9 reading relation 861027
Wed Mar 03 12:16:07 2010  error -9 reading relation 873927
Wed Mar 03 12:16:07 2010  error -11 reading relation 879003
Wed Mar 03 12:16:07 2010  error -9 reading relation 879036
Wed Mar 03 12:16:07 2010  error -11 reading relation 879071
Wed Mar 03 12:16:07 2010  error -9 reading relation 890171
Wed Mar 03 12:16:07 2010  error -11 reading relation 890205
Wed Mar 03 12:16:07 2010  error -5 reading relation 890240
Wed Mar 03 12:16:07 2010  error -1 reading relation 893649
Wed Mar 03 12:16:08 2010  error -9 reading relation 926045
Wed Mar 03 12:16:08 2010  error -9 reading relation 926080
Wed Mar 03 12:16:08 2010  error -9 reading relation 951447
Wed Mar 03 12:16:08 2010  error -1 reading relation 951481
Wed Mar 03 12:16:08 2010  error -11 reading relation 966734
Wed Mar 03 12:16:08 2010  error -11 reading relation 975863
Wed Mar 03 12:16:09 2010  error -9 reading relation 1037847
Wed Mar 03 12:16:09 2010  error -11 reading relation 1037881
Wed Mar 03 12:16:09 2010  error -15 reading relation 1037914
Wed Mar 03 12:16:09 2010  error -5 reading relation 1062559
Wed Mar 03 12:16:09 2010  error -11 reading relation 1062593
Wed Mar 03 12:16:09 2010  error -11 reading relation 1077935
Wed Mar 03 12:16:09 2010  error -1 reading relation 1077969
Wed Mar 03 12:16:09 2010  error -15 reading relation 1086994
Wed Mar 03 12:16:09 2010  error -15 reading relation 1087028
Wed Mar 03 12:16:10 2010  error -11 reading relation 1150331
Wed Mar 03 12:16:10 2010  error -9 reading relation 1174665
Wed Mar 03 12:16:10 2010  error -9 reading relation 1189533
Wed Mar 03 12:16:10 2010  error -15 reading relation 1198559
Wed Mar 03 12:16:11 2010  error -9 reading relation 1267523
Wed Mar 03 12:16:11 2010  error -11 reading relation 1291885
Wed Mar 03 12:16:11 2010  error -9 reading relation 1306889
Wed Mar 03 12:16:11 2010  error -15 reading relation 1306923
Wed Mar 03 12:16:11 2010  error -11 reading relation 1306956
Wed Mar 03 12:16:11 2010  error -11 reading relation 1315858
Wed Mar 03 12:16:11 2010  error -11 reading relation 1315891
Wed Mar 03 12:16:12 2010  error -15 reading relation 1379138
Wed Mar 03 12:16:12 2010  error -9 reading relation 1379173
Wed Mar 03 12:16:12 2010  error -15 reading relation 1403998
Wed Mar 03 12:16:12 2010  error -11 reading relation 1418793
Wed Mar 03 12:16:12 2010  error -11 reading relation 1427829
Wed Mar 03 12:16:13 2010  error -15 reading relation 1488143
Wed Mar 03 12:16:13 2010  error -11 reading relation 1512127
Wed Mar 03 12:16:13 2010  error -5 reading relation 1526914
Wed Mar 03 12:16:13 2010  error -11 reading relation 1535927
Wed Mar 03 12:16:19 2010  error -6 reading relation 2241927
Wed Mar 03 12:16:31 2010  error -11 reading relation 3678124
Wed Mar 03 12:16:45 2010  error -11 reading relation 5386624
Wed Mar 03 12:16:53 2010  error -6 reading relation 6247950
Wed Mar 03 12:17:52 2010  error -11 reading relation 13301132
Wed Mar 03 12:18:22 2010  error -6 reading relation 16667108
Wed Mar 03 12:18:34 2010  error -6 reading relation 17970236
Wed Mar 03 12:18:41 2010  error -11 reading relation 18517704
Wed Mar 03 12:18:54 2010  error -11 reading relation 20041062
Wed Mar 03 12:18:59 2010  error -6 reading relation 20637769
Wed Mar 03 12:19:00 2010  error -6 reading relation 20715077
Wed Mar 03 12:19:05 2010  error -6 reading relation 21352807
Wed Mar 03 12:19:11 2010  error -6 reading relation 21920170
Wed Mar 03 12:19:12 2010  error -11 reading relation 22021845
Wed Mar 03 12:20:16 2010  error -6 reading relation 27087288
Wed Mar 03 12:20:34 2010  error -6 reading relation 29067316
Wed Mar 03 12:20:34 2010  error -11 reading relation 29085127
Wed Mar 03 12:20:34 2010  error -11 reading relation 29085128
Wed Mar 03 12:21:16 2010  error -11 reading relation 34084703
Wed Mar 03 12:21:16 2010  error -6 reading relation 34096986
Wed Mar 03 12:21:21 2010  error -6 reading relation 34678473
Wed Mar 03 12:21:21 2010  error -11 reading relation 34678474
Wed Mar 03 12:21:47 2010  error -11 reading relation 37557476
Wed Mar 03 12:21:49 2010  error -6 reading relation 37707473
Wed Mar 03 12:21:50 2010  error -11 reading relation 37803031
Wed Mar 03 12:21:52 2010  error -11 reading relation 37966702
Wed Mar 03 12:21:53 2010  error -6 reading relation 37970028
Wed Mar 03 12:22:17 2010  found 5230747 hash collisions in 40308174 relations
Wed Mar 03 12:23:11 2010  commencing duplicate removal, pass 2
Wed Mar 03 12:24:32 2010  found 4553187 duplicates and 35754987 unique relations
Wed Mar 03 12:24:32 2010  memory use: 197.2 MB
Wed Mar 03 12:24:32 2010  reading ideals above 23920640
Wed Mar 03 12:24:32 2010  commencing singleton removal, initial pass
Wed Mar 03 12:31:05 2010  memory use: 596.8 MB
Wed Mar 03 12:31:05 2010  reading all ideals from disk
Wed Mar 03 12:31:06 2010  memory use: 629.5 MB
Wed Mar 03 12:31:10 2010  commencing in-memory singleton removal
Wed Mar 03 12:31:14 2010  begin with 35754987 relations and 36034498 unique ideals
Wed Mar 03 12:31:57 2010  reduce to 14070146 relations and 10947730 ideals in 19 passes
Wed Mar 03 12:31:57 2010  max relations containing the same ideal: 33
Wed Mar 03 12:32:01 2010  reading ideals above 720000
Wed Mar 03 12:32:01 2010  commencing singleton removal, initial pass
Wed Mar 03 12:35:50 2010  memory use: 298.4 MB
Wed Mar 03 12:35:50 2010  reading all ideals from disk
Wed Mar 03 12:35:51 2010  memory use: 482.0 MB
Wed Mar 03 12:35:55 2010  commencing in-memory singleton removal
Wed Mar 03 12:36:02 2010  begin with 14070301 relations and 13837017 unique ideals
Wed Mar 03 12:36:56 2010  reduce to 14040651 relations and 13806601 ideals in 14 passes
Wed Mar 03 12:36:56 2010  max relations containing the same ideal: 183
Wed Mar 03 12:37:15 2010  removing 765612 relations and 716228 ideals in 49384 cliques
Wed Mar 03 12:37:16 2010  commencing in-memory singleton removal
Wed Mar 03 12:37:20 2010  begin with 13275039 relations and 13806601 unique ideals
Wed Mar 03 12:38:01 2010  reduce to 13239518 relations and 13054632 ideals in 11 passes
Wed Mar 03 12:38:26 2010  max relations containing the same ideal: 176
Wed Mar 03 12:38:44 2010  removing 547874 relations and 498490 ideals in 49384 cliques
Wed Mar 03 12:38:45 2010  commencing in-memory singleton removal
Wed Mar 03 12:38:48 2010  begin with 12691644 relations and 13054632 unique ideals
Wed Mar 03 12:39:15 2010  reduce to 12672403 relations and 12536833 ideals in 8 passes
Wed Mar 03 12:39:15 2010  max relations containing the same ideal: 168
Wed Mar 03 12:39:34 2010  relations with 0 large ideals: 3007
Wed Mar 03 12:39:34 2010  relations with 1 large ideals: 209
Wed Mar 03 12:39:34 2010  relations with 2 large ideals: 5817
Wed Mar 03 12:39:34 2010  relations with 3 large ideals: 62796
Wed Mar 03 12:39:34 2010  relations with 4 large ideals: 374081
Wed Mar 03 12:39:34 2010  relations with 5 large ideals: 1303963
Wed Mar 03 12:39:34 2010  relations with 6 large ideals: 2918903
Wed Mar 03 12:39:34 2010  relations with 7+ large ideals: 8003627
Wed Mar 03 12:39:34 2010  commencing 2-way merge
Wed Mar 03 12:39:56 2010  reduce to 7270953 relation sets and 7135385 unique ideals
Wed Mar 03 12:39:56 2010  ignored 2 oversize relation sets
Wed Mar 03 12:39:56 2010  commencing full merge
Wed Mar 03 12:44:14 2010  memory use: 754.6 MB
Wed Mar 03 12:44:16 2010  found 3793737 cycles, need 3781585
Wed Mar 03 12:44:16 2010  weight of 3781585 cycles is about 264721485 (70.00/cycle)
Wed Mar 03 12:44:16 2010  distribution of cycle lengths:
Wed Mar 03 12:44:16 2010  1 relations: 583375
Wed Mar 03 12:44:16 2010  2 relations: 516721
Wed Mar 03 12:44:16 2010  3 relations: 479760
Wed Mar 03 12:44:16 2010  4 relations: 412490
Wed Mar 03 12:44:16 2010  5 relations: 339768
Wed Mar 03 12:44:16 2010  6 relations: 284109
Wed Mar 03 12:44:16 2010  7 relations: 230622
Wed Mar 03 12:44:16 2010  8 relations: 184055
Wed Mar 03 12:44:16 2010  9 relations: 147742
Wed Mar 03 12:44:16 2010  10+ relations: 602943
Wed Mar 03 12:44:16 2010  heaviest cycle: 28 relations
Wed Mar 03 12:44:19 2010  commencing cycle optimization
Wed Mar 03 12:44:30 2010  start with 20735082 relations
Thu Mar 04 23:06:07 2010  
Thu Mar 04 23:06:07 2010  
Thu Mar 04 23:06:07 2010  Msieve v. 1.42
Thu Mar 04 23:06:07 2010  random seeds: 0a50b468 040a8eb8
Thu Mar 04 23:06:07 2010  factoring 78888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883 (200 digits)
Thu Mar 04 23:06:09 2010  searching for 15-digit factors
Thu Mar 04 23:06:11 2010  commencing number field sieve (200-digit input)
Thu Mar 04 23:06:11 2010  R0: -1000000000000000000000000000000000000000
Thu Mar 04 23:06:11 2010  R1:  1
Thu Mar 04 23:06:11 2010  A0: -53
Thu Mar 04 23:06:11 2010  A1:  0
Thu Mar 04 23:06:11 2010  A2:  0
Thu Mar 04 23:06:11 2010  A3:  0
Thu Mar 04 23:06:11 2010  A4:  0
Thu Mar 04 23:06:11 2010  A5:  710000
Thu Mar 04 23:06:11 2010  skew 0.15, size 2.028408e-014, alpha 0.050895, combined = 8.090708e-012
Thu Mar 04 23:06:11 2010  
Thu Mar 04 23:06:11 2010  commencing relation filtering
Thu Mar 04 23:06:11 2010  estimated available RAM is 4096.0 MB
Thu Mar 04 23:06:11 2010  commencing duplicate removal, pass 1
Thu Mar 04 23:06:20 2010  error -15 reading relation 786787
Thu Mar 04 23:06:22 2010  error -15 reading relation 860620
Thu Mar 04 23:06:22 2010  error -15 reading relation 860993
Thu Mar 04 23:06:22 2010  error -9 reading relation 861027
Thu Mar 04 23:06:22 2010  error -9 reading relation 873927
Thu Mar 04 23:06:22 2010  error -11 reading relation 879003
Thu Mar 04 23:06:22 2010  error -9 reading relation 879036
Thu Mar 04 23:06:22 2010  error -11 reading relation 879071
Thu Mar 04 23:06:22 2010  error -9 reading relation 890171
Thu Mar 04 23:06:22 2010  error -11 reading relation 890205
Thu Mar 04 23:06:22 2010  error -5 reading relation 890240
Thu Mar 04 23:06:23 2010  error -1 reading relation 893649
Thu Mar 04 23:06:23 2010  error -9 reading relation 926045
Thu Mar 04 23:06:23 2010  error -9 reading relation 926080
Thu Mar 04 23:06:23 2010  error -9 reading relation 951447
Thu Mar 04 23:06:23 2010  error -1 reading relation 951481
Thu Mar 04 23:06:23 2010  error -11 reading relation 966734
Thu Mar 04 23:06:23 2010  error -11 reading relation 975863
Thu Mar 04 23:06:24 2010  error -9 reading relation 1037847
Thu Mar 04 23:06:24 2010  error -11 reading relation 1037881
Thu Mar 04 23:06:24 2010  error -15 reading relation 1037914
Thu Mar 04 23:06:24 2010  error -5 reading relation 1062559
Thu Mar 04 23:06:24 2010  error -11 reading relation 1062593
Thu Mar 04 23:06:24 2010  error -11 reading relation 1077935
Thu Mar 04 23:06:24 2010  error -1 reading relation 1077969
Thu Mar 04 23:06:24 2010  error -15 reading relation 1086994
Thu Mar 04 23:06:24 2010  error -15 reading relation 1087028
Thu Mar 04 23:06:25 2010  error -11 reading relation 1150331
Thu Mar 04 23:06:25 2010  error -9 reading relation 1174665
Thu Mar 04 23:06:25 2010  error -9 reading relation 1189533
Thu Mar 04 23:06:25 2010  error -15 reading relation 1198559
Thu Mar 04 23:06:26 2010  error -9 reading relation 1267523
Thu Mar 04 23:06:26 2010  error -11 reading relation 1291885
Thu Mar 04 23:06:27 2010  error -9 reading relation 1306889
Thu Mar 04 23:06:27 2010  error -15 reading relation 1306923
Thu Mar 04 23:06:27 2010  error -11 reading relation 1306956
Thu Mar 04 23:06:27 2010  error -11 reading relation 1315858
Thu Mar 04 23:06:27 2010  error -11 reading relation 1315891
Thu Mar 04 23:06:28 2010  error -15 reading relation 1379138
Thu Mar 04 23:06:28 2010  error -9 reading relation 1379173
Thu Mar 04 23:06:28 2010  error -15 reading relation 1403998
Thu Mar 04 23:06:28 2010  error -11 reading relation 1418793
Thu Mar 04 23:06:28 2010  error -11 reading relation 1427829
Thu Mar 04 23:06:29 2010  error -15 reading relation 1488143
Thu Mar 04 23:06:29 2010  error -11 reading relation 1512127
Thu Mar 04 23:06:29 2010  error -5 reading relation 1526914
Thu Mar 04 23:06:29 2010  error -11 reading relation 1535927
Thu Mar 04 23:06:38 2010  error -6 reading relation 2241927
Thu Mar 04 23:06:52 2010  error -11 reading relation 3678124
Thu Mar 04 23:07:08 2010  error -11 reading relation 5386624
Thu Mar 04 23:07:16 2010  error -6 reading relation 6247950
Thu Mar 04 23:08:24 2010  error -11 reading relation 13301132
Thu Mar 04 23:08:56 2010  error -6 reading relation 16667108
Thu Mar 04 23:09:10 2010  error -6 reading relation 17970236
Thu Mar 04 23:09:15 2010  error -11 reading relation 18517704
Thu Mar 04 23:09:30 2010  error -11 reading relation 20041062
Thu Mar 04 23:09:36 2010  error -6 reading relation 20637769
Thu Mar 04 23:09:37 2010  error -6 reading relation 20715077
Thu Mar 04 23:09:43 2010  error -6 reading relation 21352807
Thu Mar 04 23:09:49 2010  error -6 reading relation 21920170
Thu Mar 04 23:09:50 2010  error -11 reading relation 22021845
Thu Mar 04 23:10:50 2010  error -6 reading relation 27087288
Thu Mar 04 23:11:11 2010  error -6 reading relation 29067316
Thu Mar 04 23:11:11 2010  error -11 reading relation 29085127
Thu Mar 04 23:11:11 2010  error -11 reading relation 29085128
Thu Mar 04 23:12:03 2010  error -11 reading relation 34084703
Thu Mar 04 23:12:03 2010  error -6 reading relation 34096986
Thu Mar 04 23:12:08 2010  error -6 reading relation 34678473
Thu Mar 04 23:12:08 2010  error -11 reading relation 34678474
Thu Mar 04 23:12:37 2010  error -11 reading relation 37557476
Thu Mar 04 23:12:38 2010  error -6 reading relation 37707473
Thu Mar 04 23:12:40 2010  error -11 reading relation 37803031
Thu Mar 04 23:12:42 2010  error -11 reading relation 37966702
Thu Mar 04 23:12:42 2010  error -6 reading relation 37970028
Thu Mar 04 23:13:05 2010  found 5230747 hash collisions in 40308174 relations
Thu Mar 04 23:13:57 2010  commencing duplicate removal, pass 2
Thu Mar 04 23:15:12 2010  found 4553187 duplicates and 35754987 unique relations
Thu Mar 04 23:15:12 2010  memory use: 197.2 MB
Thu Mar 04 23:15:12 2010  reading ideals above 23920640
Thu Mar 04 23:15:12 2010  commencing singleton removal, initial pass
Thu Mar 04 23:21:12 2010  memory use: 596.8 MB
Thu Mar 04 23:21:12 2010  reading all ideals from disk
Thu Mar 04 23:21:12 2010  memory use: 629.5 MB
Thu Mar 04 23:21:16 2010  commencing in-memory singleton removal
Thu Mar 04 23:21:20 2010  begin with 35754987 relations and 36034498 unique ideals
Thu Mar 04 23:21:55 2010  reduce to 14070146 relations and 10947730 ideals in 19 passes
Thu Mar 04 23:21:55 2010  max relations containing the same ideal: 33
Thu Mar 04 23:21:59 2010  reading ideals above 720000
Thu Mar 04 23:21:59 2010  commencing singleton removal, initial pass
Thu Mar 04 23:24:58 2010  memory use: 298.4 MB
Thu Mar 04 23:24:58 2010  reading all ideals from disk
Thu Mar 04 23:24:59 2010  memory use: 482.0 MB
Thu Mar 04 23:25:02 2010  commencing in-memory singleton removal
Thu Mar 04 23:25:05 2010  begin with 14070301 relations and 13837017 unique ideals
Thu Mar 04 23:25:49 2010  reduce to 14040651 relations and 13806601 ideals in 14 passes
Thu Mar 04 23:25:49 2010  max relations containing the same ideal: 183
Thu Mar 04 23:26:03 2010  removing 765612 relations and 716228 ideals in 49384 cliques
Thu Mar 04 23:26:03 2010  commencing in-memory singleton removal
Thu Mar 04 23:26:06 2010  begin with 13275039 relations and 13806601 unique ideals
Thu Mar 04 23:26:39 2010  reduce to 13239518 relations and 13054632 ideals in 11 passes
Thu Mar 04 23:26:39 2010  max relations containing the same ideal: 176
Thu Mar 04 23:26:52 2010  removing 547874 relations and 498490 ideals in 49384 cliques
Thu Mar 04 23:26:53 2010  commencing in-memory singleton removal
Thu Mar 04 23:26:55 2010  begin with 12691644 relations and 13054632 unique ideals
Thu Mar 04 23:27:18 2010  reduce to 12672403 relations and 12536833 ideals in 8 passes
Thu Mar 04 23:27:18 2010  max relations containing the same ideal: 168
Thu Mar 04 23:27:34 2010  relations with 0 large ideals: 3007
Thu Mar 04 23:27:34 2010  relations with 1 large ideals: 209
Thu Mar 04 23:27:34 2010  relations with 2 large ideals: 5817
Thu Mar 04 23:27:34 2010  relations with 3 large ideals: 62796
Thu Mar 04 23:27:34 2010  relations with 4 large ideals: 374081
Thu Mar 04 23:27:34 2010  relations with 5 large ideals: 1303963
Thu Mar 04 23:27:34 2010  relations with 6 large ideals: 2918903
Thu Mar 04 23:27:34 2010  relations with 7+ large ideals: 8003627
Thu Mar 04 23:27:34 2010  commencing 2-way merge
Thu Mar 04 23:27:53 2010  reduce to 7270953 relation sets and 7135385 unique ideals
Thu Mar 04 23:27:53 2010  ignored 2 oversize relation sets
Thu Mar 04 23:27:53 2010  commencing full merge
Thu Mar 04 23:31:18 2010  memory use: 754.6 MB
Thu Mar 04 23:31:19 2010  found 3793737 cycles, need 3781585
Thu Mar 04 23:31:20 2010  weight of 3781585 cycles is about 264721485 (70.00/cycle)
Thu Mar 04 23:31:20 2010  distribution of cycle lengths:
Thu Mar 04 23:31:20 2010  1 relations: 583375
Thu Mar 04 23:31:20 2010  2 relations: 516721
Thu Mar 04 23:31:20 2010  3 relations: 479760
Thu Mar 04 23:31:20 2010  4 relations: 412490
Thu Mar 04 23:31:20 2010  5 relations: 339768
Thu Mar 04 23:31:20 2010  6 relations: 284109
Thu Mar 04 23:31:20 2010  7 relations: 230622
Thu Mar 04 23:31:20 2010  8 relations: 184055
Thu Mar 04 23:31:20 2010  9 relations: 147742
Thu Mar 04 23:31:20 2010  10+ relations: 602943
Thu Mar 04 23:31:20 2010  heaviest cycle: 28 relations
Thu Mar 04 23:31:22 2010  commencing cycle optimization
Thu Mar 04 23:31:31 2010  start with 20735082 relations
Thu Mar 04 23:32:18 2010  pruned 364432 relations
Thu Mar 04 23:32:18 2010  memory use: 573.1 MB
Thu Mar 04 23:32:18 2010  distribution of cycle lengths:
Thu Mar 04 23:32:18 2010  1 relations: 583375
Thu Mar 04 23:32:18 2010  2 relations: 526592
Thu Mar 04 23:32:18 2010  3 relations: 493222
Thu Mar 04 23:32:18 2010  4 relations: 418178
Thu Mar 04 23:32:18 2010  5 relations: 343958
Thu Mar 04 23:32:18 2010  6 relations: 283730
Thu Mar 04 23:32:18 2010  7 relations: 229345
Thu Mar 04 23:32:18 2010  8 relations: 181249
Thu Mar 04 23:32:18 2010  9 relations: 144819
Thu Mar 04 23:32:18 2010  10+ relations: 577117
Thu Mar 04 23:32:18 2010  heaviest cycle: 27 relations
Thu Mar 04 23:32:38 2010  RelProcTime: 1587
Thu Mar 04 23:32:38 2010  
Thu Mar 04 23:32:38 2010  commencing linear algebra
Thu Mar 04 23:32:43 2010  read 3781585 cycles
Thu Mar 04 23:32:53 2010  cycles contain 12485269 unique relations
Thu Mar 04 23:43:57 2010  read 12485269 relations
Thu Mar 04 23:44:20 2010  using 20 quadratic characters above 536870564
Thu Mar 04 23:45:27 2010  building initial matrix
Thu Mar 04 23:48:04 2010  memory use: 1361.2 MB
Thu Mar 04 23:48:17 2010  read 3781585 cycles
Thu Mar 04 23:55:15 2010  matrix is 3781405 x 3781585 (1083.3 MB) with weight 330895970 (87.50/col)
Thu Mar 04 23:55:15 2010  sparse part has weight 257501090 (68.09/col)
Thu Mar 04 23:56:17 2010  filtering completed in 2 passes
Thu Mar 04 23:56:18 2010  matrix is 3777501 x 3777680 (1083.0 MB) with weight 330783158 (87.56/col)
Thu Mar 04 23:56:18 2010  sparse part has weight 257467458 (68.15/col)
Thu Mar 04 23:57:00 2010  read 3777680 cycles
Fri Mar 05 00:20:47 2010  matrix is 3777501 x 3777680 (1083.0 MB) with weight 330783158 (87.56/col)
Fri Mar 05 00:20:47 2010  sparse part has weight 257467458 (68.15/col)
Fri Mar 05 00:20:48 2010  saving the first 48 matrix rows for later
Fri Mar 05 00:20:50 2010  matrix is 3777453 x 3777680 (1026.6 MB) with weight 265913827 (70.39/col)
Fri Mar 05 00:20:50 2010  sparse part has weight 246438265 (65.24/col)
Fri Mar 05 00:20:50 2010  matrix includes 64 packed rows
Fri Mar 05 00:20:50 2010  using block size 65536 for processor cache size 6144 kB
Fri Mar 05 00:21:19 2010  commencing Lanczos iteration (6 threads)
Fri Mar 05 00:21:19 2010  memory use: 1226.3 MB
Fri Mar 05 22:50:45 2010  lanczos halted after 59737 iterations (dim = 3777453)
Fri Mar 05 22:50:52 2010  recovered 40 nontrivial dependencies
Fri Mar 05 22:50:59 2010  BLanczosTime: 83901
Fri Mar 05 22:50:59 2010  
Fri Mar 05 22:50:59 2010  commencing square root phase
Fri Mar 05 22:50:59 2010  reading relations for dependency 1
Fri Mar 05 22:51:01 2010  read 1889951 cycles
Fri Mar 05 22:51:06 2010  cycles contain 7518590 unique relations
Fri Mar 05 23:02:46 2010  read 7518590 relations
Fri Mar 05 23:03:39 2010  multiplying 6243682 relations
Fri Mar 05 23:18:02 2010  multiply complete, coefficients have about 262.20 million bits
Fri Mar 05 23:18:04 2010  initial square root is modulo 2568013171
Fri Mar 05 23:46:29 2010  reading relations for dependency 2
Fri Mar 05 23:46:31 2010  read 1888064 cycles
Fri Mar 05 23:46:36 2010  cycles contain 7516167 unique relations
Fri Mar 05 23:55:51 2010  read 7516167 relations
Fri Mar 05 23:56:44 2010  multiplying 6239930 relations
Sat Mar 06 00:11:00 2010  multiply complete, coefficients have about 262.05 million bits
Sat Mar 06 00:11:03 2010  initial square root is modulo 2535424321
Sat Mar 06 00:39:21 2010  reading relations for dependency 3
Sat Mar 06 00:39:23 2010  read 1889930 cycles
Sat Mar 06 00:39:28 2010  cycles contain 7517920 unique relations
Sat Mar 06 00:48:46 2010  read 7517920 relations
Sat Mar 06 00:49:38 2010  multiplying 6242096 relations
Sat Mar 06 01:03:59 2010  multiply complete, coefficients have about 262.13 million bits
Sat Mar 06 01:04:02 2010  initial square root is modulo 2553353381
Sat Mar 06 01:32:21 2010  sqrtTime: 9682
Sat Mar 06 01:32:21 2010  prp55 factor: 2620445357593988067594558202381042288073230253246743639
Sat Mar 06 01:32:21 2010  prp73 factor: 2343055626697146054647226411149363946050639708685760334060778149030139553
Sat Mar 06 01:32:21 2010  prp74 factor: 12848668723094517746566409994005639649373248399136363818887697827426651749
Sat Mar 06 01:32:21 2010  elapsed time 26:26:14
software ソフトウェア
GGNFS/msieve v1.42

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 5, 2010 06:00:00 UTC 2010 年 2 月 5 日 (金) 15 時 0 分 0 秒 (日本時間)

71×10200-539

c141

name 名前Dmitry Domanov
date 日付January 21, 2013 07:56:35 UTC 2013 年 1 月 21 日 (月) 16 時 56 分 35 秒 (日本時間)
composite number 合成数
470634687253690530060743438055536102746735389463772789953999692983992700670690613233617793135291995200000566313795301923988511777687515063347<141>
prime factors 素因数
612555309017034965700687646672400600279<39>
768313783793525706111307547826798063200287522352101627856928285799172658388968170763753183805433330693<102>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3317560786
Step 1 took 178441ms
Step 2 took 57820ms
********** Factor found in step 2: 612555309017034965700687646672400600279
Found probable prime factor of 39 digits: 612555309017034965700687646672400600279

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 5, 2010 06:00:00 UTC 2010 年 2 月 5 日 (金) 15 時 0 分 0 秒 (日本時間)
403e61300300Dmitry DomanovMay 12, 2011 06:32:00 UTC 2011 年 5 月 12 日 (木) 15 時 32 分 0 秒 (日本時間)
1000Dmitry DomanovJanuary 17, 2013 12:07:44 UTC 2013 年 1 月 17 日 (木) 21 時 7 分 44 秒 (日本時間)
4511e61000 / 4188Dmitry DomanovJanuary 20, 2013 21:09:35 UTC 2013 年 1 月 21 日 (月) 6 時 9 分 35 秒 (日本時間)

71×10204-539

c176

composite cofactor 合成数の残り
71201630424657278969652885802368121325854447478380400624344830663744298244119719012605143296203863098178989631436305041553528602385327640324863201269448489936800324616764572773<176>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 13, 2013 00:00:00 UTC 2013 年 1 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 14, 2013 22:10:55 UTC 2013 年 1 月 15 日 (火) 7 時 10 分 55 秒 (日本時間)
403e63000Warut RoonguthaiJanuary 14, 2013 22:10:55 UTC 2013 年 1 月 15 日 (火) 7 時 10 分 55 秒 (日本時間)
4511e6300 / 3752Serge BatalovMay 27, 2014 00:35:52 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 52 秒 (日本時間)

71×10205-539

c194

name 名前Dmitry Domanov
date 日付January 15, 2013 11:23:04 UTC 2013 年 1 月 15 日 (火) 20 時 23 分 4 秒 (日本時間)
composite number 合成数
35033355522686518785850940339620864154525656070667333703254062008253156953660279459852912383310388821897197638888439495251964158022710048539534800141436499433776608339457076506250404550781800133<194>
prime factors 素因数
462921039299214102549284910695724482678037431<45>
composite cofactor 合成数の残り
75678901040491107013834058460051707495311112631290073739055392598567478048540207572025583516758447890995102681365333220936250135629681105270197772643<149>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3499391999
Step 1 took 27281ms
Step 2 took 10034ms
********** Factor found in step 2: 462921039299214102549284910695724482678037431
Found probable prime factor of 45 digits: 462921039299214102549284910695724482678037431

c149

name 名前Dmitry Domanov
date 日付January 22, 2013 12:16:23 UTC 2013 年 1 月 22 日 (火) 21 時 16 分 23 秒 (日本時間)
composite number 合成数
75678901040491107013834058460051707495311112631290073739055392598567478048540207572025583516758447890995102681365333220936250135629681105270197772643<149>
prime factors 素因数
390539301736991459989027636716707916403<39>
5911968072809458461070714670290737742350199319<46>
32777663428969617086949250118071723743420593773549433023268624599<65>
factorization results 素因数分解の結果
Very strange - I've found P45 (P1=3M), P46 (P1=11M) and then P39 with gnfs.

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2273554671
Step 1 took 79603ms
Step 2 took 30170ms
********** Factor found in step 2: 5911968072809458461070714670290737742350199319
Found probable prime factor of 46 digits: 5911968072809458461070714670290737742350199319
Composite cofactor 12800965788119915432920092325417441326160433937464774265994984912393902106805690076949274916912881397397 has 104 digits

Tue Jan 22 15:38:14 2013  commencing relation filtering
Tue Jan 22 15:38:14 2013  estimated available RAM is 2006.1 MB
Tue Jan 22 15:38:14 2013  commencing duplicate removal, pass 1
Tue Jan 22 15:40:08 2013  found 441568 hash collisions in 5451389 relations
Tue Jan 22 15:40:23 2013  added 2391 free relations
Tue Jan 22 15:40:23 2013  commencing duplicate removal, pass 2
Tue Jan 22 15:40:28 2013  found 275935 duplicates and 5177845 unique relations
Tue Jan 22 15:40:28 2013  memory use: 17.3 MB
Tue Jan 22 15:40:28 2013  reading ideals above 100000
Tue Jan 22 15:40:28 2013  commencing singleton removal, initial pass
Tue Jan 22 15:42:41 2013  memory use: 172.2 MB
Tue Jan 22 15:42:41 2013  reading all ideals from disk
Tue Jan 22 15:42:42 2013  memory use: 165.4 MB
Tue Jan 22 15:42:43 2013  keeping 5756795 ideals with weight <= 200, target excess is 24458
Tue Jan 22 15:42:45 2013  commencing in-memory singleton removal
Tue Jan 22 15:42:47 2013  begin with 5177845 relations and 5756795 unique ideals
Tue Jan 22 15:42:58 2013  reduce to 1850955 relations and 1760465 ideals in 17 passes
Tue Jan 22 15:42:58 2013  max relations containing the same ideal: 101
Tue Jan 22 15:43:01 2013  removing 300293 relations and 269234 ideals in 31059 cliques
Tue Jan 22 15:43:02 2013  commencing in-memory singleton removal
Tue Jan 22 15:43:02 2013  begin with 1550662 relations and 1760465 unique ideals
Tue Jan 22 15:43:07 2013  reduce to 1512810 relations and 1452505 ideals in 11 passes
Tue Jan 22 15:43:07 2013  max relations containing the same ideal: 90
Tue Jan 22 15:43:09 2013  removing 218132 relations and 187073 ideals in 31059 cliques
Tue Jan 22 15:43:09 2013  commencing in-memory singleton removal
Tue Jan 22 15:43:09 2013  begin with 1294678 relations and 1452505 unique ideals
Tue Jan 22 15:43:13 2013  reduce to 1268860 relations and 1239043 ideals in 9 passes
Tue Jan 22 15:43:13 2013  max relations containing the same ideal: 78
Tue Jan 22 15:43:15 2013  relations with 0 large ideals: 460
Tue Jan 22 15:43:15 2013  relations with 1 large ideals: 227
Tue Jan 22 15:43:15 2013  relations with 2 large ideals: 3265
Tue Jan 22 15:43:15 2013  relations with 3 large ideals: 27002
Tue Jan 22 15:43:15 2013  relations with 4 large ideals: 117427
Tue Jan 22 15:43:15 2013  relations with 5 large ideals: 297975
Tue Jan 22 15:43:15 2013  relations with 6 large ideals: 388167
Tue Jan 22 15:43:15 2013  relations with 7+ large ideals: 434337
Tue Jan 22 15:43:15 2013  commencing 2-way merge
Tue Jan 22 15:43:17 2013  reduce to 723847 relation sets and 694030 unique ideals
Tue Jan 22 15:43:17 2013  commencing full merge
Tue Jan 22 15:43:46 2013  memory use: 75.2 MB
Tue Jan 22 15:43:46 2013  found 343539 cycles, need 340230
Tue Jan 22 15:43:46 2013  weight of 340230 cycles is about 23946987 (70.38/cycle)
Tue Jan 22 15:43:46 2013  distribution of cycle lengths:
Tue Jan 22 15:43:46 2013  1 relations: 37308
Tue Jan 22 15:43:46 2013  2 relations: 36050
Tue Jan 22 15:43:46 2013  3 relations: 35810
Tue Jan 22 15:43:46 2013  4 relations: 32547
Tue Jan 22 15:43:46 2013  5 relations: 29718
Tue Jan 22 15:43:46 2013  6 relations: 25620
Tue Jan 22 15:43:46 2013  7 relations: 22671
Tue Jan 22 15:43:46 2013  8 relations: 20027
Tue Jan 22 15:43:46 2013  9 relations: 17408
Tue Jan 22 15:43:46 2013  10+ relations: 83071
Tue Jan 22 15:43:46 2013  heaviest cycle: 27 relations
Tue Jan 22 15:43:47 2013  commencing cycle optimization
Tue Jan 22 15:43:48 2013  start with 2260408 relations
Tue Jan 22 15:43:58 2013  pruned 50114 relations
Tue Jan 22 15:43:58 2013  memory use: 73.7 MB
Tue Jan 22 15:43:58 2013  distribution of cycle lengths:
Tue Jan 22 15:43:58 2013  1 relations: 37308
Tue Jan 22 15:43:58 2013  2 relations: 36820
Tue Jan 22 15:43:58 2013  3 relations: 36993
Tue Jan 22 15:43:58 2013  4 relations: 33185
Tue Jan 22 15:43:58 2013  5 relations: 30229
Tue Jan 22 15:43:58 2013  6 relations: 26011
Tue Jan 22 15:43:58 2013  7 relations: 22859
Tue Jan 22 15:43:58 2013  8 relations: 20187
Tue Jan 22 15:43:58 2013  9 relations: 17386
Tue Jan 22 15:43:58 2013  10+ relations: 79252
Tue Jan 22 15:43:58 2013  heaviest cycle: 27 relations
Tue Jan 22 15:43:59 2013  RelProcTime: 345
Tue Jan 22 15:43:59 2013  
Tue Jan 22 15:43:59 2013  commencing linear algebra
Tue Jan 22 15:43:59 2013  read 340230 cycles
Tue Jan 22 15:44:01 2013  cycles contain 1225097 unique relations
Tue Jan 22 15:44:28 2013  read 1225097 relations
Tue Jan 22 15:44:31 2013  using 20 quadratic characters above 67108580
Tue Jan 22 15:44:49 2013  building initial matrix
Tue Jan 22 15:45:15 2013  memory use: 149.8 MB
Tue Jan 22 15:45:16 2013  read 340230 cycles
Tue Jan 22 15:45:17 2013  matrix is 340049 x 340230 (102.1 MB) with weight 32075339 (94.28/col)
Tue Jan 22 15:45:17 2013  sparse part has weight 23015396 (67.65/col)
Tue Jan 22 15:45:24 2013  filtering completed in 2 passes
Tue Jan 22 15:45:25 2013  matrix is 339419 x 339600 (102.0 MB) with weight 32048703 (94.37/col)
Tue Jan 22 15:45:25 2013  sparse part has weight 23006947 (67.75/col)
Tue Jan 22 15:45:27 2013  matrix starts at (0, 0)
Tue Jan 22 15:45:27 2013  matrix is 339419 x 339600 (102.0 MB) with weight 32048703 (94.37/col)
Tue Jan 22 15:45:27 2013  sparse part has weight 23006947 (67.75/col)
Tue Jan 22 15:45:27 2013  saving the first 48 matrix rows for later
Tue Jan 22 15:45:27 2013  matrix includes 64 packed rows
Tue Jan 22 15:45:27 2013  matrix is 339371 x 339600 (98.0 MB) with weight 25411658 (74.83/col)
Tue Jan 22 15:45:27 2013  sparse part has weight 22294594 (65.65/col)
Tue Jan 22 15:45:27 2013  using block size 65536 for processor cache size 2048 kB
Tue Jan 22 15:45:30 2013  commencing Lanczos iteration (8 threads)
Tue Jan 22 15:45:30 2013  memory use: 92.7 MB
Tue Jan 22 15:45:35 2013  checkpointing every 1460000 dimensions
Tue Jan 22 15:45:59 2013  linear algebra at 3.6%, ETA 0h13m
Tue Jan 22 15:58:47 2013  lanczos halted after 5368 iterations (dim = 339369)
Tue Jan 22 15:58:49 2013  recovered 32 nontrivial dependencies
Tue Jan 22 15:58:49 2013  BLanczosTime: 890
Tue Jan 22 15:58:49 2013  
Tue Jan 22 15:58:49 2013  commencing square root phase
Tue Jan 22 15:58:49 2013  reading relations for dependency 1
Tue Jan 22 15:58:49 2013  read 170102 cycles
Tue Jan 22 15:58:50 2013  cycles contain 612926 unique relations
Tue Jan 22 15:59:04 2013  read 612926 relations
Tue Jan 22 15:59:10 2013  multiplying 612926 relations
Tue Jan 22 15:59:58 2013  multiply complete, coefficients have about 26.00 million bits
Tue Jan 22 15:59:59 2013  initial square root is modulo 29407283
Tue Jan 22 16:01:07 2013  sqrtTime: 138


prp65 = 32777663428969617086949250118071723743420593773549433023268624599
prp39 = 390539301736991459989027636716707916403
NFS elapsed time = 6394.6806 seconds.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 13, 2013 00:00:00 UTC 2013 年 1 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 15, 2013 14:18:40 UTC 2013 年 1 月 15 日 (火) 23 時 18 分 40 秒 (日本時間)
403e61000Dmitry DomanovJanuary 17, 2013 12:07:58 UTC 2013 年 1 月 17 日 (木) 21 時 7 分 58 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovJanuary 21, 2013 15:40:22 UTC 2013 年 1 月 22 日 (火) 0 時 40 分 22 秒 (日本時間)

71×10207-539

c200

name 名前Bob Backstrom
date 日付August 5, 2017 20:34:47 UTC 2017 年 8 月 6 日 (日) 5 時 34 分 47 秒 (日本時間)
composite number 合成数
94212700508163269755431645154131997935446765974098091633775122030559487044913063989917712411387299092693345556462558473560412453808093476854201253426202428038305817167306388816799586257096775682716879<200>
prime factors 素因数
983092554459105213688455878323222664782916133673307<51>
9712328323363521779850788691747831008159503913625457<52>
9867149091741279828383804107530720659753748103532629299451373800215321446498158306775994577405421<97>
factorization results 素因数分解の結果
Number: n
N=94212700508163269755431645154131997935446765974098091633775122030559487044913063989917712411387299092693345556462558473560412453808093476854201253426202428038305817167306388816799586257096775682716879
  ( 200 digits)
SNFS difficulty: 208 digits.
Divisors found:

Sun Aug  6 06:06:15 2017  prp51 factor: 983092554459105213688455878323222664782916133673307
Sun Aug  6 06:06:15 2017  prp52 factor: 9712328323363521779850788691747831008159503913625457
Sun Aug  6 06:06:15 2017  prp97 factor: 9867149091741279828383804107530720659753748103532629299451373800215321446498158306775994577405421
Sun Aug  6 06:06:15 2017  elapsed time 17:20:21 (Msieve 1.44 - dependency 3)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=3.826).
Factorization parameters were as follows:
#
# 71Ã-10^207-53 78(206)3
#
n: 94212700508163269755431645154131997935446765974098091633775122030559487044913063989917712411387299092693345556462558473560412453808093476854201253426202428038305817167306388816799586257096775682716879
m: 100000000000000000000000000000000000000000
deg: 5
c5: 7100
c0: -53
skew: 0.38
# Murphy_E = 4.409e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 21700000)
Primes: RFBsize:1329943, AFBsize:1331768,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9239256 hash collisions in 54879998 relations (47131477 unique)
Msieve: matrix is 3662050 x 3662276 (1042.9 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 16hrs 48min 37sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 19min 19sec.

Prototype def-par.txt line would be:
snfs,208,5,0,0,0,0,0,0,0,0,21000000,21000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 13, 2013 00:00:00 UTC 2013 年 1 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 15, 2013 14:18:45 UTC 2013 年 1 月 15 日 (火) 23 時 18 分 45 秒 (日本時間)
403e626001000Dmitry DomanovJanuary 17, 2013 12:08:09 UTC 2013 年 1 月 17 日 (木) 21 時 8 分 9 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:56 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 56 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:30 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 30 秒 (日本時間)

71×10209-539

c125

name 名前Warut Roonguthai
date 日付January 14, 2013 13:17:42 UTC 2013 年 1 月 14 日 (月) 22 時 17 分 42 秒 (日本時間)
composite number 合成数
56694987117977386338215947436668908291999025864260169625455297013502445704690536572169906687540399340711167092729465228491727<125>
prime factors 素因数
17522808323698027437807234951049626379<38>
3235496620784380700206319279645727296150346287402204855457601837263723594771396418987213<88>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1811575176
Step 1 took 16302ms
Step 2 took 10265ms
********** Factor found in step 2: 17522808323698027437807234951049626379
Found probable prime factor of 38 digits: 17522808323698027437807234951049626379
Probable prime cofactor 3235496620784380700206319279645727296150346287402204855457601837263723594771396418987213 has 88 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 13, 2013 00:00:00 UTC 2013 年 1 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)

71×10210-539

c188

composite cofactor 合成数の残り
15467632095455430550329005890902640979219048330167767132182795766259505479776079485670162242056685305618334513284556224042418910966438303463279856206153707713269302008409504363089944940089<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 13, 2013 00:00:00 UTC 2013 年 1 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 15, 2013 14:19:26 UTC 2013 年 1 月 15 日 (火) 23 時 19 分 26 秒 (日本時間)
403e626001000Dmitry DomanovJanuary 17, 2013 12:08:19 UTC 2013 年 1 月 17 日 (木) 21 時 8 分 19 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:03:00 UTC 2014 年 1 月 9 日 (木) 14 時 3 分 0 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:31 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 31 秒 (日本時間)

71×10211-539

c168

composite cofactor 合成数の残り
333266700943861871360764826432265783848593132747487224077693239736013087862366343061635654962193222736700287133933487741611391512925763033057070173753336425984344468701<168>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 13, 2013 00:00:00 UTC 2013 年 1 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 14, 2013 22:18:04 UTC 2013 年 1 月 15 日 (火) 7 時 18 分 4 秒 (日本時間)
403e64500Warut RoonguthaiJanuary 14, 2013 22:18:04 UTC 2013 年 1 月 15 日 (火) 7 時 18 分 4 秒 (日本時間)
4511e6300 / 3420Serge BatalovMay 27, 2014 00:35:52 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 52 秒 (日本時間)

71×10212-539

c186

composite cofactor 合成数の残り
116735053060080358108327919398483944137530325211017908727843447627331342066895901451877294688444997623207193989651066242246751763827245607510467678273124707301108411238625322909610058361<186>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 13, 2013 00:00:00 UTC 2013 年 1 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 15, 2013 14:19:43 UTC 2013 年 1 月 15 日 (火) 23 時 19 分 43 秒 (日本時間)
403e626001000Dmitry DomanovJanuary 17, 2013 12:08:32 UTC 2013 年 1 月 17 日 (木) 21 時 8 分 32 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:03:01 UTC 2014 年 1 月 9 日 (木) 14 時 3 分 1 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:31 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 31 秒 (日本時間)

71×10213-539

c198

composite cofactor 合成数の残り
172130591985178914335651800973239531192004395880077465579429248720317994623335484949365174995012516988626439845656391420356938883668053574471748147115412717482039208833962107414745352430082947093579<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 13, 2013 00:00:00 UTC 2013 年 1 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 15, 2013 14:19:50 UTC 2013 年 1 月 15 日 (火) 23 時 19 分 50 秒 (日本時間)
403e626001000Dmitry DomanovJanuary 17, 2013 12:08:42 UTC 2013 年 1 月 17 日 (木) 21 時 8 分 42 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:03:02 UTC 2014 年 1 月 9 日 (木) 14 時 3 分 2 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:31 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 31 秒 (日本時間)
4511e642 / 3840CypFebruary 19, 2014 21:02:56 UTC 2014 年 2 月 20 日 (木) 6 時 2 分 56 秒 (日本時間)

71×10214-539

c132

name 名前Warut Roonguthai
date 日付January 14, 2013 13:51:45 UTC 2013 年 1 月 14 日 (月) 22 時 51 分 45 秒 (日本時間)
composite number 合成数
745214830559067436560547604594132565807968259874739787935705686868142256033378018927439505345226045878635985602620971546583700416219<132>
prime factors 素因数
97538387625935812590600845860968282547<38>
83416716834106372559914626522138467020537367<44>
91591005009090145342795832921309683954776287530031<50>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1234100618
Step 1 took 4368ms
Step 2 took 3822ms
********** Factor found in step 2: 97538387625935812590600845860968282547
Found probable prime factor of 38 digits: 97538387625935812590600845860968282547
Composite cofactor 7640220929394491019707874156064491067430970614770726129724873242754778332320854822378770168377 has 94 digits

starting SIQS on c94: 7640220929394491019707874156064491067430970614770726129724873242754778332320854822378770168377

==== sieving in progress ( 4 threads):   80800 relations needed ====
====            Press ctrl-c to abort and save state            ====
81551 rels found: 20882 full + 60669 from 1090314 partial, (513.26 rels/sec)

SIQS elapsed time = 2190.4850 seconds.

***factors found***

PRP44 = 83416716834106372559914626522138467020537367
PRP50 = 91591005009090145342795832921309683954776287530031
software ソフトウェア
GMP-ECM 6.3, YAFU 1.24

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 13, 2013 00:00:00 UTC 2013 年 1 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)

71×10215-539

c189

name 名前Warut Roonguthai
date 日付January 13, 2013 17:38:55 UTC 2013 年 1 月 14 日 (月) 2 時 38 分 55 秒 (日本時間)
composite number 合成数
153135326729829611858977345326359941746303289394712440029030473596269021674979584524161236365196083189916691614270641799388610563703995527716613800765750757584472808188046433603458844385827<189>
prime factors 素因数
67428298851534284046958950086186743<35>
2271083941580785172042128339638900990154980157448264415468450495697303867273582388183233549949359770875708174825224763431179095059658598070130852771079989<154>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2794090049
Step 1 took 10576ms
Step 2 took 6615ms
********** Factor found in step 2: 67428298851534284046958950086186743
Found probable prime factor of 35 digits: 67428298851534284046958950086186743
Probable prime cofactor 2271083941580785172042128339638900990154980157448264415468450495697303867273582388183233549949359770875708174825224763431179095059658598070130852771079989 has 154 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 13, 2013 00:00:00 UTC 2013 年 1 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)

71×10218-539

c182

name 名前Dmitry Domanov
date 日付January 22, 2013 09:26:46 UTC 2013 年 1 月 22 日 (火) 18 時 26 分 46 秒 (日本時間)
composite number 合成数
17958386556894067948827152608236163754501576278309901724440307156928805941735921545408183740918118163248131293126751554274700883549618131015316653588728729944621816088845876016446181<182>
prime factors 素因数
665831711977700931352890413590858246633999<42>
composite cofactor 合成数の残り
26971359630127536113397444728263891217003794732233701284715717010620018055459361836047221459469631913595087168765744345858947425716542799819<140>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3440297649
Step 1 took 117178ms
Step 2 took 27452ms
********** Factor found in step 2: 665831711977700931352890413590858246633999
Found probable prime factor of 42 digits: 665831711977700931352890413590858246633999

c140

name 名前Erik Branger
date 日付June 14, 2016 15:46:57 UTC 2016 年 6 月 15 日 (水) 0 時 46 分 57 秒 (日本時間)
composite number 合成数
26971359630127536113397444728263891217003794732233701284715717010620018055459361836047221459469631913595087168765744345858947425716542799819<140>
prime factors 素因数
85627537906162119848771350665201579999036315919<47>
314984645006201480193984800871166255266541239046538734725585190409837529269645751886039668101<93>
factorization results 素因数分解の結果
Number: 78883_218
N = 26971359630127536113397444728263891217003794732233701284715717010620018055459361836047221459469631913595087168765744345858947425716542799819 (140 digits)
Divisors found:
r1=85627537906162119848771350665201579999036315919 (pp47)
r2=314984645006201480193984800871166255266541239046538734725585190409837529269645751886039668101 (pp93)
Version: Msieve v. 1.51 (SVN 845)
Total time: 343.48 hours.
Factorization parameters were as follows:
# Murphy_E = 2.344e-11, selected by Erik Branger
# expecting poly E from 2.22e-011 to > 2.56e-011
n: 26971359630127536113397444728263891217003794732233701284715717010620018055459361836047221459469631913595087168765744345858947425716542799819
Y0: -1187954199858370983440436554
Y1: 211443064425071
c0: 3217406547661680540929385764916285
c1: 50364285924803024155932085372
c2: 182262483913781029225052
c3: -90970284415408604
c4: -73417922625
c5: 11400
skew: 1302259.16
type: gnfs
# selected mechanically
rlim: 17600000
alim: 17600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 17600000/17600000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23125448
Relations: 3076384 relations
Pruned matrix : 1946070 x 1946296
Polynomial selection time: 0.00 hours.
Total sieving time: 339.04 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 3.66 hours.
time per square root: 0.59 hours.
Prototype def-par.txt line would be: gnfs,139,5,65,2000,1e-05,0.28,250,20,50000,3600,17600000,17600000,28,28,55,55,2.6,2.6,100000
total time: 343.48 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 13, 2013 00:00:00 UTC 2013 年 1 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 15, 2013 14:20:04 UTC 2013 年 1 月 15 日 (火) 23 時 20 分 4 秒 (日本時間)
403e61000Dmitry DomanovJanuary 17, 2013 12:08:52 UTC 2013 年 1 月 17 日 (木) 21 時 8 分 52 秒 (日本時間)
4511e649001000Dmitry DomanovJanuary 21, 2013 15:40:41 UTC 2013 年 1 月 22 日 (火) 0 時 40 分 41 秒 (日本時間)
850Serge BatalovNovember 8, 2013 01:46:06 UTC 2013 年 11 月 8 日 (金) 10 時 46 分 6 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:09:14 UTC 2013 年 11 月 9 日 (土) 2 時 9 分 14 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:23:23 UTC 2014 年 1 月 6 日 (月) 11 時 23 分 23 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:17 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 17 秒 (日本時間)

71×10219-539

c174

composite cofactor 合成数の残り
636889884075627561614034789121902166860291498766266816532570291927708897465476981389789724098465520404279636168338016488124056585152780871560880975374922864518978868398354431<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 13, 2013 00:00:00 UTC 2013 年 1 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 15, 2013 14:15:56 UTC 2013 年 1 月 15 日 (火) 23 時 15 分 56 秒 (日本時間)
403e62800Warut RoonguthaiJanuary 15, 2013 14:15:56 UTC 2013 年 1 月 15 日 (火) 23 時 15 分 56 秒 (日本時間)
4511e6300 / 3796Serge BatalovMay 27, 2014 00:35:52 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 52 秒 (日本時間)

71×10220-539

c177

composite cofactor 合成数の残り
860645779377404114288251637442146841125559092335112080798251614077626234769608602966584897214368040197246501802068536115291353865292838323472488142156016860083571963563319544273<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 13, 2013 00:00:00 UTC 2013 年 1 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 15, 2013 14:20:23 UTC 2013 年 1 月 15 日 (火) 23 時 20 分 23 秒 (日本時間)
403e61000Dmitry DomanovJanuary 17, 2013 12:09:06 UTC 2013 年 1 月 17 日 (木) 21 時 9 分 6 秒 (日本時間)
4511e61300 / 41941000Dmitry DomanovJanuary 21, 2013 15:40:58 UTC 2013 年 1 月 22 日 (火) 0 時 40 分 58 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:53 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 53 秒 (日本時間)

71×10223-539

c208

composite cofactor 合成数の残り
1583932422785244045520413797374343984346375989813623984748812199674859571189833264899815844079948334556495701065522263332095475798914583638562890347877012595977692007206831700238271904250121877998847875295413<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 13, 2013 00:00:00 UTC 2013 年 1 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 15, 2013 14:20:51 UTC 2013 年 1 月 15 日 (火) 23 時 20 分 51 秒 (日本時間)
403e61000Dmitry DomanovJanuary 17, 2013 12:09:18 UTC 2013 年 1 月 17 日 (木) 21 時 9 分 18 秒 (日本時間)
4511e61300 / 41941000Dmitry DomanovJanuary 18, 2013 09:27:52 UTC 2013 年 1 月 18 日 (金) 18 時 27 分 52 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:53 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 53 秒 (日本時間)

71×10224-539

c206

composite cofactor 合成数の残り
20593279070264686725097334276822362708694663351698887802084125846695857957518777856521721594478008706705616485920439610845023122857161907483322426402764328020428029368339402543032735587623384657901188736371<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 13, 2013 00:00:00 UTC 2013 年 1 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 15, 2013 14:20:58 UTC 2013 年 1 月 15 日 (火) 23 時 20 分 58 秒 (日本時間)
403e61000Dmitry DomanovJanuary 17, 2013 12:09:26 UTC 2013 年 1 月 17 日 (木) 21 時 9 分 26 秒 (日本時間)
4511e61300 / 41941000Dmitry DomanovJanuary 18, 2013 09:27:36 UTC 2013 年 1 月 18 日 (金) 18 時 27 分 36 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:54 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 54 秒 (日本時間)

71×10226-539

c181

name 名前Dmitry Domanov
date 日付January 22, 2013 09:27:18 UTC 2013 年 1 月 22 日 (火) 18 時 27 分 18 秒 (日本時間)
composite number 合成数
5056179522994712735738590385745105219602859310467156846156858177690270122530359870167344755671942071787622828447432989277264063831043013120518264775263333548647243321290897857912569<181>
prime factors 素因数
240531721560497903701723228168018467394573<42>
21020842865097923511751194985400663009610402511609335844325391785911268852198474339281050581344437225217643982941281713171322798668683927453<140>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1157529045
Step 1 took 88722ms
Step 2 took 24783ms
********** Factor found in step 2: 240531721560497903701723228168018467394573
Found probable prime factor of 42 digits: 240531721560497903701723228168018467394573

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 13, 2013 00:00:00 UTC 2013 年 1 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 15, 2013 14:21:07 UTC 2013 年 1 月 15 日 (火) 23 時 21 分 7 秒 (日本時間)
403e61000Dmitry DomanovJanuary 17, 2013 12:09:35 UTC 2013 年 1 月 17 日 (木) 21 時 9 分 35 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovJanuary 21, 2013 15:41:14 UTC 2013 年 1 月 22 日 (火) 0 時 41 分 14 秒 (日本時間)

71×10227-539

c223

composite cofactor 合成数の残り
6031398953254959126653431568681918460583108854858206907565837816531639784466684166218559209224132731552626504345580471179682170759947773182021673959562443243261610655358218375718777104129979195921075321979012430628293377439<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 13, 2013 00:00:00 UTC 2013 年 1 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 15, 2013 14:21:14 UTC 2013 年 1 月 15 日 (火) 23 時 21 分 14 秒 (日本時間)
403e61000Dmitry DomanovJanuary 17, 2013 12:09:44 UTC 2013 年 1 月 17 日 (木) 21 時 9 分 44 秒 (日本時間)
4511e61300 / 41941000Dmitry DomanovJanuary 18, 2013 09:27:22 UTC 2013 年 1 月 18 日 (金) 18 時 27 分 22 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:54 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 54 秒 (日本時間)

71×10229-539

c230

name 名前matsui
date 日付July 20, 2013 22:31:34 UTC 2013 年 7 月 21 日 (日) 7 時 31 分 34 秒 (日本時間)
composite number 合成数
78888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883<230>
prime factors 素因数
847619325256133075898714264614407900543505130615573327751<57>
93071130563298912445560751743154178327026332349664224995797101574044596717175871211268866511881842683486871516849157502080782770928528236888934868447343964923889989341798133<173>
factorization results 素因数分解の結果
N=78888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883
  ( 230 digits)
SNFS difficulty: 230 digits.
Divisors found:
 r1=847619325256133075898714264614407900543505130615573327751 (pp57)
 r2=93071130563298912445560751743154178327026332349664224995797101574044596717175871211268866511881842683486871516849157502080782770928528236888934868447343964923889989341798133 (pp173)
Version: Msieve v. 1.52 (SVN Unversioned directory)
Total time:
Scaled time: 240.60 units (timescale=1.832).
Factorization parameters were as follows:
n: 78888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883
m: 100000000000000000000000000000000000000
deg: 6
c6: 710
c0: -53
skew: 0.65
# Murphy_E = 7.953e-13
type: snfs
lss: 1
rlim: 49000000
alim: 49000000
lpbr: 30
lpba: 30
mfbr: 59
mfba: 59
rlambda: 2.7
alambda: 2.7

Factor base limits: 49000000/49000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 59/59
Sieved rational special-q in [24500000, 61700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 7190523 x 7190749
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,230.000,6,0,0,0,0,0,0,0,0,49000000,49000000,30,30,59,59,2.7,2.7,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 13, 2013 00:00:00 UTC 2013 年 1 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 15, 2013 14:21:30 UTC 2013 年 1 月 15 日 (火) 23 時 21 分 30 秒 (日本時間)
403e61000Dmitry DomanovJanuary 17, 2013 12:09:54 UTC 2013 年 1 月 17 日 (木) 21 時 9 分 54 秒 (日本時間)
4511e62000 / 2721Dmitry DomanovJanuary 18, 2013 09:27:08 UTC 2013 年 1 月 18 日 (金) 18 時 27 分 8 秒 (日本時間)
5043e6420 / 7058Dmitry DomanovMarch 15, 2013 20:45:46 UTC 2013 年 3 月 16 日 (土) 5 時 45 分 46 秒 (日本時間)

71×10231-539

c223

composite cofactor 合成数の残り
2022473054417947861736393757186128235049348574542488466336020597012343673738224872499740093910550428016224603463708779816339947170052147365190756270280623972701956740369972396763334586497802456422410246682459021036309471479<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 13, 2013 00:00:00 UTC 2013 年 1 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 15, 2013 14:21:37 UTC 2013 年 1 月 15 日 (火) 23 時 21 分 37 秒 (日本時間)
403e61000Dmitry DomanovJanuary 17, 2013 12:10:02 UTC 2013 年 1 月 17 日 (木) 21 時 10 分 2 秒 (日本時間)
4511e61300 / 41941000Dmitry DomanovJanuary 18, 2013 09:26:57 UTC 2013 年 1 月 18 日 (金) 18 時 26 分 57 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:54 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 54 秒 (日本時間)

71×10232-539

c194

composite cofactor 合成数の残り
78381831555736976990817283358547494372427238457756479185903173233286878239321972591710910752889863461402009766762257466014174675827388317535953074955652493202961180760386013282854331739503995169<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 13, 2013 00:00:00 UTC 2013 年 1 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 15, 2013 14:22:06 UTC 2013 年 1 月 15 日 (火) 23 時 22 分 6 秒 (日本時間)
403e61000Dmitry DomanovJanuary 17, 2013 12:10:11 UTC 2013 年 1 月 17 日 (木) 21 時 10 分 11 秒 (日本時間)
4511e61500 / 41941200Dmitry DomanovJanuary 19, 2013 22:49:00 UTC 2013 年 1 月 20 日 (日) 7 時 49 分 0 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:55 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 55 秒 (日本時間)

71×10233-539

c202

name 名前Dmitry Domanov
date 日付January 15, 2013 11:23:39 UTC 2013 年 1 月 15 日 (火) 20 時 23 分 39 秒 (日本時間)
composite number 合成数
3994178118756362928940711548222497623436321541936529735344046128095259121861135118412881741252126564865483979269090436989130901721019747232779977497063369577483897846341713026470471544802159530258809449<202>
prime factors 素因数
33047676514713705510169323958312655683<38>
composite cofactor 合成数の残り
120861087374116860581079344188890600998465223635353005146142175230463173316383843415578660358237087125931924238379016420380045034216132531135299102241387939450712803<165>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1010893717
Step 1 took 26689ms
Step 2 took 10330ms
********** Factor found in step 2: 33047676514713705510169323958312655683
Found probable prime factor of 38 digits: 33047676514713705510169323958312655683

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 13, 2013 00:00:00 UTC 2013 年 1 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 15, 2013 14:22:16 UTC 2013 年 1 月 15 日 (火) 23 時 22 分 16 秒 (日本時間)
403e61000Dmitry DomanovJanuary 17, 2013 12:10:20 UTC 2013 年 1 月 17 日 (木) 21 時 10 分 20 秒 (日本時間)
4511e61500 / 41941200Dmitry DomanovJanuary 19, 2013 22:49:14 UTC 2013 年 1 月 20 日 (日) 7 時 49 分 14 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:55 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 55 秒 (日本時間)

71×10234-539

c177

composite cofactor 合成数の残り
202715362480932908619437614185406326238804402634736146008723791903301393447206774706537469896782879495157625614999935141865664065655385684986555898235994139050539237237388351141<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 13, 2013 00:00:00 UTC 2013 年 1 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 15, 2013 14:22:27 UTC 2013 年 1 月 15 日 (火) 23 時 22 分 27 秒 (日本時間)
403e61000Dmitry DomanovJanuary 17, 2013 12:10:28 UTC 2013 年 1 月 17 日 (木) 21 時 10 分 28 秒 (日本時間)
4511e61500 / 41941200Dmitry DomanovJanuary 19, 2013 22:49:27 UTC 2013 年 1 月 20 日 (日) 7 時 49 分 27 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:56 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 56 秒 (日本時間)

71×10237-539

c238

composite cofactor 合成数の残り
7888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 13, 2013 00:00:00 UTC 2013 年 1 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 15, 2013 14:22:47 UTC 2013 年 1 月 15 日 (火) 23 時 22 分 47 秒 (日本時間)
403e61000Dmitry DomanovJanuary 17, 2013 12:10:55 UTC 2013 年 1 月 17 日 (木) 21 時 10 分 55 秒 (日本時間)
4511e628502000Dmitry DomanovJanuary 18, 2013 09:26:41 UTC 2013 年 1 月 18 日 (金) 18 時 26 分 41 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:17:15 UTC 2013 年 11 月 9 日 (土) 2 時 17 分 15 秒 (日本時間)
5043e61000 / 6868500Dmitry DomanovMarch 15, 2013 10:58:56 UTC 2013 年 3 月 15 日 (金) 19 時 58 分 56 秒 (日本時間)
500Serge BatalovJanuary 11, 2015 01:24:45 UTC 2015 年 1 月 11 日 (日) 10 時 24 分 45 秒 (日本時間)

71×10238-539

c213

composite cofactor 合成数の残り
372631342767757825252188589263267758006534801657316427090568712615665755612156174468072230296645079434202417629425714547813699049766232240987746678323213246216308092116051087855695620371882892892443983983753131831<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 13, 2013 00:00:00 UTC 2013 年 1 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 15, 2013 14:22:56 UTC 2013 年 1 月 15 日 (火) 23 時 22 分 56 秒 (日本時間)
403e61000Dmitry DomanovJanuary 17, 2013 12:11:04 UTC 2013 年 1 月 17 日 (木) 21 時 11 分 4 秒 (日本時間)
4511e61300 / 41941000Dmitry DomanovJanuary 18, 2013 09:26:29 UTC 2013 年 1 月 18 日 (金) 18 時 26 分 29 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:56 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 56 秒 (日本時間)

71×10239-539

c239

name 名前NFS@Home + Sean Wellman
date 日付January 21, 2014 10:16:32 UTC 2014 年 1 月 21 日 (火) 19 時 16 分 32 秒 (日本時間)
composite number 合成数
15468409586056644880174291938997821350762527233115468409586056644880174291938997821350762527233115468409586056644880174291938997821350762527233115468409586056644880174291938997821350762527233115468409586056644880174291938997821350762527233<239>
prime factors 素因数
2546449501135960705315499562987520800025370304870525117117402230389773655271719772357233<88>
6074500821302857426690581000554503610708139218667326713996930626410866333773471812395047536239795364305932456874027528398079782194033901234667562490001<151>
factorization results 素因数分解の結果
prp88 factor: 2546449501135960705315499562987520800025370304870525117117402230389773655271719772357233
prp151 factor: 6074500821302857426690581000554503610708139218667326713996930626410866333773471812395047536239795364305932456874027528398079782194033901234667562490001
software ソフトウェア
ggnfs-lasieve4I14e on the NFS@Home grid + msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 13, 2013 00:00:00 UTC 2013 年 1 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 15, 2013 14:23:06 UTC 2013 年 1 月 15 日 (火) 23 時 23 分 6 秒 (日本時間)
403e61000Dmitry DomanovJanuary 17, 2013 12:11:12 UTC 2013 年 1 月 17 日 (木) 21 時 11 分 12 秒 (日本時間)
4511e62000Dmitry DomanovJanuary 18, 2013 09:26:16 UTC 2013 年 1 月 18 日 (金) 18 時 26 分 16 秒 (日本時間)
5043e6640Dmitry DomanovJanuary 25, 2013 09:51:42 UTC 2013 年 1 月 25 日 (金) 18 時 51 分 42 秒 (日本時間)
5511e70--
6026e77500 / 41909yoyo@homeMay 29, 2013 12:20:09 UTC 2013 年 5 月 29 日 (水) 21 時 20 分 9 秒 (日本時間)

71×10241-539

c241

composite cofactor 合成数の残り
1080669710806697108066971080669710806697108066971080669710806697108066971080669710806697108066971080669710806697108066971080669710806697108066971080669710806697108066971080669710806697108066971080669710806697108066971080669710806697108066971<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 13, 2013 00:00:00 UTC 2013 年 1 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 15, 2013 14:23:14 UTC 2013 年 1 月 15 日 (火) 23 時 23 分 14 秒 (日本時間)
403e61000Dmitry DomanovJanuary 17, 2013 12:11:21 UTC 2013 年 1 月 17 日 (木) 21 時 11 分 21 秒 (日本時間)
4511e62000Dmitry DomanovJanuary 18, 2013 09:26:01 UTC 2013 年 1 月 18 日 (金) 18 時 26 分 1 秒 (日本時間)
5043e6640 / 4720Dmitry DomanovJanuary 25, 2013 09:50:45 UTC 2013 年 1 月 25 日 (金) 18 時 50 分 45 秒 (日本時間)
5511e7970 / 17407yoyo@homeOctober 1, 2013 21:06:34 UTC 2013 年 10 月 2 日 (水) 6 時 6 分 34 秒 (日本時間)

71×10244-539

c218

composite cofactor 合成数の残り
18712999765426566606053869015093358706037322696605042356288065323412903480165408732003446421012221809781950689588136886919004760932917288016847267019910842834385859277563664218089064560182509351030998527130780720920959<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 13, 2013 00:00:00 UTC 2013 年 1 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 15, 2013 14:23:32 UTC 2013 年 1 月 15 日 (火) 23 時 23 分 32 秒 (日本時間)
403e61000Dmitry DomanovJanuary 17, 2013 12:11:32 UTC 2013 年 1 月 17 日 (木) 21 時 11 分 32 秒 (日本時間)
4511e61300 / 41941000Dmitry DomanovJanuary 18, 2013 09:25:47 UTC 2013 年 1 月 18 日 (金) 18 時 25 分 47 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:56 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 56 秒 (日本時間)

71×10245-539

c240

composite cofactor 合成数の残り
158594954138471666888587915873105541390345672891920688316396844156981038275596616906047880084702214407735073517584483587912857567681010954823601868766785516831805337962161611698213995209494217683815405033754702256625265118829056373648639759<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 13, 2013 00:00:00 UTC 2013 年 1 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 15, 2013 14:25:05 UTC 2013 年 1 月 15 日 (火) 23 時 25 分 5 秒 (日本時間)
403e61000Dmitry DomanovJanuary 17, 2013 12:11:40 UTC 2013 年 1 月 17 日 (木) 21 時 11 分 40 秒 (日本時間)
4511e61300 / 41941000Dmitry DomanovJanuary 18, 2013 09:25:36 UTC 2013 年 1 月 18 日 (金) 18 時 25 分 36 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:57 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 57 秒 (日本時間)

71×10246-539

c235

composite cofactor 合成数の残り
7727642784328381694771516714984977424766979456698251606486824751273197166151018081842545533549177491866814851190524547979281908941463730967370962043666987672521601234033615769859457410620494915545237932716047290738540293998961068692807<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 13, 2013 00:00:00 UTC 2013 年 1 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 15, 2013 14:25:15 UTC 2013 年 1 月 15 日 (火) 23 時 25 分 15 秒 (日本時間)
403e61000Dmitry DomanovJanuary 17, 2013 12:11:49 UTC 2013 年 1 月 17 日 (木) 21 時 11 分 49 秒 (日本時間)
4511e61300 / 41941000Dmitry DomanovJanuary 18, 2013 09:25:23 UTC 2013 年 1 月 18 日 (金) 18 時 25 分 23 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:57 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 57 秒 (日本時間)

71×10247-539

c153

composite cofactor 合成数の残り
162833850772712288676226674547839042942370479379576629379854490897173198152477762062025918415915212932131774742733203749924415870087272951005899953767683<153>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 13, 2013 00:00:00 UTC 2013 年 1 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 15, 2013 06:24:01 UTC 2013 年 1 月 15 日 (火) 15 時 24 分 1 秒 (日本時間)
403e64400Warut RoonguthaiJanuary 15, 2013 06:24:01 UTC 2013 年 1 月 15 日 (火) 15 時 24 分 1 秒 (日本時間)
4511e63444850Serge BatalovNovember 8, 2013 17:11:31 UTC 2013 年 11 月 9 日 (土) 2 時 11 分 31 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:25:27 UTC 2014 年 1 月 6 日 (月) 11 時 25 分 27 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:29 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 29 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:58 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 58 秒 (日本時間)
994Ignacio SantosJanuary 5, 2016 12:24:52 UTC 2016 年 1 月 5 日 (火) 21 時 24 分 52 秒 (日本時間)

71×10248-539

c248

name 名前Warut Roonguthai
date 日付January 13, 2013 13:40:01 UTC 2013 年 1 月 13 日 (日) 22 時 40 分 1 秒 (日本時間)
composite number 合成数
13840155945419103313840155945419103313840155945419103313840155945419103313840155945419103313840155945419103313840155945419103313840155945419103313840155945419103313840155945419103313840155945419103313840155945419103313840155945419103313840155945419<248>
prime factors 素因数
358109367657711192213978010909<30>
composite cofactor 合成数の残り
38647846706562082136109400672254915415489823922346330956484255728415590355636794232997168502975062840711627565176467600698302720942286711196253300388915637156784914223650576688861451466927238145678313690449380109520391<218>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3132402933
Step 1 took 13135ms
Step 2 took 7239ms
********** Factor found in step 2: 358109367657711192213978010909
Found probable prime factor of 30 digits: 358109367657711192213978010909
Composite cofactor 38647846706562082136109400672254915415489823922346330956484255728415590355636794232997168502975062840711627565176467600698302720942286711196253300388915637156784914223650576688861451466927238145678313690449380109520391 has 218 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 13, 2013 00:00:00 UTC 2013 年 1 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 15, 2013 14:25:28 UTC 2013 年 1 月 15 日 (火) 23 時 25 分 28 秒 (日本時間)
403e61000Dmitry DomanovJanuary 17, 2013 12:12:03 UTC 2013 年 1 月 17 日 (木) 21 時 12 分 3 秒 (日本時間)
4511e61300 / 41941000Dmitry DomanovJanuary 18, 2013 14:10:11 UTC 2013 年 1 月 18 日 (金) 23 時 10 分 11 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:58 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 58 秒 (日本時間)

71×10249-539

c243

name 名前Dmitry Domanov
date 日付January 14, 2013 09:44:19 UTC 2013 年 1 月 14 日 (月) 18 時 44 分 19 秒 (日本時間)
composite number 合成数
260251206120469103018962742279714865992786855578105406188407863652208469558803131387964364806695649194012827899245996173566837020141724229559935334099886766166420962036764353643018559609495924313993490721459852968991761572125779173325386214531<243>
prime factors 素因数
63916676225046588191589795270759461<35>
4071726214362915406087933055195418650266480305460345057725357598356164467258139268540823533459826392652565302999275018100147696496894101049003101515653359196472916336830190675274290700720321066943567160084871<208>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1302956661
Step 1 took 34893ms
Step 2 took 12561ms
********** Factor found in step 2: 63916676225046588191589795270759461
Found probable prime factor of 35 digits: 63916676225046588191589795270759461

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 13, 2013 00:00:00 UTC 2013 年 1 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)

71×10250-539

c200

name 名前Dmitry Domanov
date 日付January 18, 2013 09:23:21 UTC 2013 年 1 月 18 日 (金) 18 時 23 分 21 秒 (日本時間)
composite number 合成数
18205224982194032104114083222774428336002722114841938214609730033736149417379509583185828262384953131980315237568515231609942002341287600541319277095806369490817526662703631214909024043361526235658093<200>
prime factors 素因数
74550039290155605481023759689744646254300057<44>
244201413648323149336822486126082752070803248974805097520450453685285086384106921562577358430992621134049033201153901451920957131709991257712785052654472949<156>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=33801757
Step 1 took 115881ms
Step 2 took 41703ms
********** Factor found in step 2: 74550039290155605481023759689744646254300057
Found probable prime factor of 44 digits: 74550039290155605481023759689744646254300057

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 13, 2013 00:00:00 UTC 2013 年 1 月 13 日 (日) 9 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 15, 2013 14:25:35 UTC 2013 年 1 月 15 日 (火) 23 時 25 分 35 秒 (日本時間)
403e61000Dmitry DomanovJanuary 17, 2013 12:12:13 UTC 2013 年 1 月 17 日 (木) 21 時 12 分 13 秒 (日本時間)
4511e64200Dmitry DomanovJanuary 17, 2013 12:12:35 UTC 2013 年 1 月 17 日 (木) 21 時 12 分 35 秒 (日本時間)