Table of contents 目次

26×10103-179

c94

name 名前Serge Batalov
date 日付October 14, 2008 18:55:54 UTC 2008 年 10 月 15 日 (水) 3 時 55 分 54 秒 (日本時間)
composite number 合成数
5803905540887558263985489078759725396885725234535263165222238080255654302916465210789360921569<94>
prime factors 素因数
1972108063362367189451376248797<31>
2942995695171047624969249628590188180420693681219570640764638677<64>
factorization results 素因数分解の結果
N=5803905540887558263985489078759725396885725234535263165222238080255654302916465210789360921569
  ( 94 digits)
SNFS difficulty: 105 digits.
Divisors found:
 r1=1972108063362367189451376248797
 r2=2942995695171047624969249628590188180420693681219570640764638677
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.316).
Factorization parameters were as follows:
n: 5803905540887558263985489078759725396885725234535263165222238080255654302916465210789360921569
m: 100000000000000000000000000
c4: 13
c0: -85
skew: 1.6
type: snfs
Factor base limits: 450000/500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [225000, 285001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 37181 x 37410
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,105,4,0,0,0,0,0,0,0,0,450000,500000,25,25,44,44,2.2,2.2,20000
total time: 0.40 hours.
software ソフトウェア
Msieve-1.38
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 14, 2008 16:00:00 UTC 2008 年 10 月 15 日 (水) 1 時 0 分 0 秒 (日本時間)

26×10110-179

c89

name 名前Sinkiti Sibata
date 日付October 14, 2008 22:27:54 UTC 2008 年 10 月 15 日 (水) 7 時 27 分 54 秒 (日本時間)
composite number 合成数
10300738268667869941900222275951412419627031093089343147466513267202507820099968563571811<89>
prime factors 素因数
6001131512745860146554482788707579097961<40>
1716466010916447043435880068391731173711732687851<49>
factorization results 素因数分解の結果
Wed Oct 15 05:27:12 2008  Msieve v. 1.38
Wed Oct 15 05:27:12 2008  random seeds: dba802fa 24726388
Wed Oct 15 05:27:12 2008  factoring 10300738268667869941900222275951412419627031093089343147466513267202507820099968563571811 (89 digits)
Wed Oct 15 05:27:13 2008  searching for 15-digit factors
Wed Oct 15 05:27:15 2008  commencing quadratic sieve (89-digit input)
Wed Oct 15 05:27:15 2008  using multiplier of 11
Wed Oct 15 05:27:15 2008  using 64kb Pentium 4 sieve core
Wed Oct 15 05:27:15 2008  sieve interval: 14 blocks of size 65536
Wed Oct 15 05:27:15 2008  processing polynomials in batches of 8
Wed Oct 15 05:27:15 2008  using a sieve bound of 1537147 (58224 primes)
Wed Oct 15 05:27:15 2008  using large prime bound of 122971760 (26 bits)
Wed Oct 15 05:27:15 2008  using double large prime bound of 364459767191680 (42-49 bits)
Wed Oct 15 05:27:15 2008  using trial factoring cutoff of 49 bits
Wed Oct 15 05:27:15 2008  polynomial 'A' values have 11 factors
Wed Oct 15 06:57:24 2008  58395 relations (16414 full + 41981 combined from 610832 partial), need 58320
Wed Oct 15 06:57:26 2008  begin with 627246 relations
Wed Oct 15 06:57:27 2008  reduce to 139598 relations in 11 passes
Wed Oct 15 06:57:27 2008  attempting to read 139598 relations
Wed Oct 15 06:57:30 2008  recovered 139598 relations
Wed Oct 15 06:57:30 2008  recovered 115984 polynomials
Wed Oct 15 06:57:30 2008  attempting to build 58395 cycles
Wed Oct 15 06:57:31 2008  found 58395 cycles in 6 passes
Wed Oct 15 06:57:31 2008  distribution of cycle lengths:
Wed Oct 15 06:57:31 2008     length 1 : 16414
Wed Oct 15 06:57:31 2008     length 2 : 11404
Wed Oct 15 06:57:31 2008     length 3 : 10538
Wed Oct 15 06:57:31 2008     length 4 : 7465
Wed Oct 15 06:57:31 2008     length 5 : 5335
Wed Oct 15 06:57:31 2008     length 6 : 3216
Wed Oct 15 06:57:31 2008     length 7 : 1855
Wed Oct 15 06:57:31 2008     length 9+: 2168
Wed Oct 15 06:57:31 2008  largest cycle: 20 relations
Wed Oct 15 06:57:31 2008  matrix is 58224 x 58395 (14.0 MB) with weight 3437825 (58.87/col)
Wed Oct 15 06:57:31 2008  sparse part has weight 3437825 (58.87/col)
Wed Oct 15 06:57:32 2008  filtering completed in 3 passes
Wed Oct 15 06:57:32 2008  matrix is 53593 x 53657 (13.0 MB) with weight 3201131 (59.66/col)
Wed Oct 15 06:57:32 2008  sparse part has weight 3201131 (59.66/col)
Wed Oct 15 06:57:32 2008  saving the first 48 matrix rows for later
Wed Oct 15 06:57:32 2008  matrix is 53545 x 53657 (9.3 MB) with weight 2631124 (49.04/col)
Wed Oct 15 06:57:32 2008  sparse part has weight 2128145 (39.66/col)
Wed Oct 15 06:57:32 2008  matrix includes 64 packed rows
Wed Oct 15 06:57:32 2008  using block size 21462 for processor cache size 512 kB
Wed Oct 15 06:57:33 2008  commencing Lanczos iteration
Wed Oct 15 06:57:33 2008  memory use: 8.5 MB
Wed Oct 15 06:58:05 2008  lanczos halted after 848 iterations (dim = 53545)
Wed Oct 15 06:58:05 2008  recovered 18 nontrivial dependencies
Wed Oct 15 06:58:07 2008  prp40 factor: 6001131512745860146554482788707579097961
Wed Oct 15 06:58:07 2008  prp49 factor: 1716466010916447043435880068391731173711732687851
Wed Oct 15 06:58:07 2008  elapsed time 01:30:55

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 14, 2008 16:00:00 UTC 2008 年 10 月 15 日 (水) 1 時 0 分 0 秒 (日本時間)
351e6500 / 825Serge BatalovOctober 14, 2008 19:24:27 UTC 2008 年 10 月 15 日 (水) 4 時 24 分 27 秒 (日本時間)

26×10111-179

c112

name 名前Serge Batalov
date 日付October 14, 2008 18:39:21 UTC 2008 年 10 月 15 日 (水) 3 時 39 分 21 秒 (日本時間)
composite number 合成数
2888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<112>
prime factors 素因数
73754123201921790624647439007473229<35>
39169184900751608644593613969599919588169278840249296543982129934412148934803<77>
factorization results 素因数分解の結果
SNFS difficulty: 113 digits.
Divisors found:
 r1=73754123201921790624647439007473229
 r2=39169184900751608644593613969599919588169278840249296543982129934412148934803
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.300).
Factorization parameters were as follows:
n: 2888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887
m: 10000000000000000000000000000
c4: 13
c0: -85
skew: 1.6
type: snfs
Factor base limits: 450000/500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [225000, 345001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 48154 x 48371
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,113,4,0,0,0,0,0,0,0,0,450000,500000,25,25,44,44,2.2,2.2,20000
total time: 0.60 hours.
software ソフトウェア
Msieve-1.38
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 14, 2008 16:00:00 UTC 2008 年 10 月 15 日 (水) 1 時 0 分 0 秒 (日本時間)

26×10118-179

c113

name 名前Sinkiti Sibata
date 日付October 15, 2008 05:17:22 UTC 2008 年 10 月 15 日 (水) 14 時 17 分 22 秒 (日本時間)
composite number 合成数
21495620639334323620041094666134567380379144717364418646392658683358512145893753595865962238643222881393696673809<113>
prime factors 素因数
339145835876930553447588298468823<33>
6925540496049346647691472035885723<34>
9151869670383651567843410263648963919135064821<46>
factorization results 素因数分解の結果
Factor28887_118

Inputnumber is 21495620639334323620041094666134567380379144717364418646392658683358512145893753595865962238643222881393696673809

Run 216 out of 904:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=334309867
Step 1 took 15101ms
Step 2 took 7317ms
********** Factor found in step 2: 339145835876930553447588298468823
Found probable prime factor of 33 digits: 339145835876930553447588298468823
Composite cofactor 63381644016807764877796119529273285908378065539823990280799855167981847753450583 has 80 digits

Wed Oct 15 13:45:35 2008  
Wed Oct 15 13:45:35 2008  Msieve v. 1.38
Wed Oct 15 13:45:35 2008  random seeds: 6e94724d 3e8b164c
Wed Oct 15 13:45:35 2008  factoring 80 (2 digits)
Wed Oct 15 13:45:35 2008  p1 factor: 2
Wed Oct 15 13:45:35 2008  p1 factor: 2
Wed Oct 15 13:45:35 2008  p1 factor: 2
Wed Oct 15 13:45:35 2008  p1 factor: 2
Wed Oct 15 13:45:35 2008  p1 factor: 5
Wed Oct 15 13:45:35 2008  elapsed time 00:00:00
Wed Oct 15 13:51:54 2008  
Wed Oct 15 13:51:54 2008  
Wed Oct 15 13:51:54 2008  Msieve v. 1.38
Wed Oct 15 13:51:54 2008  random seeds: c1fb0222 03cd8c81
Wed Oct 15 13:51:54 2008  factoring 63381644016807764877796119529273285908378065539823990280799855167981847753450583 (80 digits)
Wed Oct 15 13:51:55 2008  searching for 15-digit factors
Wed Oct 15 13:51:57 2008  commencing quadratic sieve (80-digit input)
Wed Oct 15 13:51:57 2008  using multiplier of 47
Wed Oct 15 13:51:57 2008  using 32kb Intel Core sieve core
Wed Oct 15 13:51:57 2008  sieve interval: 12 blocks of size 32768
Wed Oct 15 13:51:57 2008  processing polynomials in batches of 17
Wed Oct 15 13:51:57 2008  using a sieve bound of 1301023 (49967 primes)
Wed Oct 15 13:51:57 2008  using large prime bound of 130102300 (26 bits)
Wed Oct 15 13:51:57 2008  using trial factoring cutoff of 27 bits
Wed Oct 15 13:51:57 2008  polynomial 'A' values have 10 factors
Wed Oct 15 14:04:14 2008  50098 relations (26281 full + 23817 combined from 265003 partial), need 50063
Wed Oct 15 14:04:15 2008  begin with 291284 relations
Wed Oct 15 14:04:15 2008  reduce to 70947 relations in 2 passes
Wed Oct 15 14:04:15 2008  attempting to read 70947 relations
Wed Oct 15 14:04:16 2008  recovered 70947 relations
Wed Oct 15 14:04:16 2008  recovered 58432 polynomials
Wed Oct 15 14:04:16 2008  attempting to build 50098 cycles
Wed Oct 15 14:04:16 2008  found 50098 cycles in 1 passes
Wed Oct 15 14:04:16 2008  distribution of cycle lengths:
Wed Oct 15 14:04:16 2008     length 1 : 26281
Wed Oct 15 14:04:16 2008     length 2 : 23817
Wed Oct 15 14:04:16 2008  largest cycle: 2 relations
Wed Oct 15 14:04:16 2008  matrix is 49967 x 50098 (6.6 MB) with weight 1541394 (30.77/col)
Wed Oct 15 14:04:16 2008  sparse part has weight 1541394 (30.77/col)
Wed Oct 15 14:04:17 2008  filtering completed in 3 passes
Wed Oct 15 14:04:17 2008  matrix is 34614 x 34677 (5.1 MB) with weight 1207990 (34.84/col)
Wed Oct 15 14:04:17 2008  sparse part has weight 1207990 (34.84/col)
Wed Oct 15 14:04:17 2008  saving the first 48 matrix rows for later
Wed Oct 15 14:04:17 2008  matrix is 34566 x 34677 (3.8 MB) with weight 961386 (27.72/col)
Wed Oct 15 14:04:17 2008  sparse part has weight 792580 (22.86/col)
Wed Oct 15 14:04:17 2008  matrix includes 64 packed rows
Wed Oct 15 14:04:17 2008  using block size 13870 for processor cache size 2048 kB
Wed Oct 15 14:04:17 2008  commencing Lanczos iteration
Wed Oct 15 14:04:17 2008  memory use: 4.1 MB
Wed Oct 15 14:04:23 2008  lanczos halted after 548 iterations (dim = 34564)
Wed Oct 15 14:04:23 2008  recovered 17 nontrivial dependencies
Wed Oct 15 14:04:23 2008  prp34 factor: 6925540496049346647691472035885723
Wed Oct 15 14:04:23 2008  prp46 factor: 9151869670383651567843410263648963919135064821
Wed Oct 15 14:04:23 2008  elapsed time 00:12:29

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 14, 2008 16:00:00 UTC 2008 年 10 月 15 日 (水) 1 時 0 分 0 秒 (日本時間)

26×10120-179

c88

name 名前Serge Batalov
date 日付October 14, 2008 19:14:53 UTC 2008 年 10 月 15 日 (水) 4 時 14 分 53 秒 (日本時間)
composite number 合成数
9766139832384762896912339152044876396428084208537614661988723606220408596691529383058877<88>
prime factors 素因数
3759727749368860911148358537753<31>
2597565697150329074823057784392058457450845003898821264709<58>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=1986497679
Step 1 took 3732ms
Step 2 took 2901ms
********** Factor found in step 2: 3759727749368860911148358537753
Found probable prime factor of 31 digits: 3759727749368860911148358537753
Probable prime cofactor 2597565697150329074823057784392058457450845003898821264709 has 58 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 14, 2008 16:00:00 UTC 2008 年 10 月 15 日 (水) 1 時 0 分 0 秒 (日本時間)

26×10124-179

c105

name 名前Sinkiti Sibata
date 日付October 15, 2008 20:30:04 UTC 2008 年 10 月 16 日 (木) 5 時 30 分 4 秒 (日本時間)
composite number 合成数
816464180989650351224051488844692798792324458135191337497018777767584167746285873004029875623655930698993<105>
prime factors 素因数
1824903596618491254551411008086026120234261<43>
447401266840912389986722883683744380837849073077673223449077613<63>
factorization results 素因数分解の結果
Number: 28887_124
N=816464180989650351224051488844692798792324458135191337497018777767584167746285873004029875623655930698993
  ( 105 digits)
Divisors found:
 r1=1824903596618491254551411008086026120234261 (pp43)
 r2=447401266840912389986722883683744380837849073077673223449077613 (pp63)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 16.15 hours.
Scaled time: 12.43 units (timescale=0.770).
Factorization parameters were as follows:
name: 28887_124
n: 816464180989650351224051488844692798792324458135191337497018777767584167746285873004029875623655930698993
skew: 5714.03
# norm 3.50e+14
c5: 401040
c4: 6493525469
c3: -27978259045032
c2: -159309783903663376
c1: 580710657569380116552
c0: -5182581195961543252333
# alpha -5.78
Y1: 154008731899
Y0: -72735580824209398380
# Murphy_E 1.78e-09
# M 447983274830461864379146476925871244975907299446442034552756791959963487336853989126526061321897454429511
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: RFBsize:183072, AFBsize:183110, largePrimes:4631329 encountered
Relations: rels:4993380, finalFF:682858
Max relations in full relation-set: 28
Initial matrix: 366260 x 682858 with sparse part having weight 52516455.
Pruned matrix : 195355 x 197250 with weight 26985107.
Total sieving time: 15.41 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 0.42 hours.
Time per square root: 0.14 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: 16.15 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 14, 2008 16:00:00 UTC 2008 年 10 月 15 日 (水) 1 時 0 分 0 秒 (日本時間)

26×10125-179

c97

name 名前Sinkiti Sibata
date 日付October 15, 2008 22:00:59 UTC 2008 年 10 月 16 日 (木) 7 時 0 分 59 秒 (日本時間)
composite number 合成数
1204692016629955256328089887937976301517969093592680868815711272508092143797499855243889513657201<97>
prime factors 素因数
3042549675264553555477312649387<31>
395948183335808890825034372088476100294521230559806139712454179923<66>
factorization results 素因数分解の結果
Wed Oct 15 16:15:04 2008  Msieve v. 1.38
Wed Oct 15 16:15:04 2008  random seeds: 96667591 d41288e4
Wed Oct 15 16:15:04 2008  factoring 1204692016629955256328089887937976301517969093592680868815711272508092143797499855243889513657201 (97 digits)
Wed Oct 15 16:15:06 2008  searching for 15-digit factors
Wed Oct 15 16:15:07 2008  commencing quadratic sieve (97-digit input)
Wed Oct 15 16:15:08 2008  using multiplier of 1
Wed Oct 15 16:15:08 2008  using 64kb Pentium 4 sieve core
Wed Oct 15 16:15:08 2008  sieve interval: 18 blocks of size 65536
Wed Oct 15 16:15:08 2008  processing polynomials in batches of 6
Wed Oct 15 16:15:08 2008  using a sieve bound of 2333549 (85882 primes)
Wed Oct 15 16:15:08 2008  using large prime bound of 350032350 (28 bits)
Wed Oct 15 16:15:08 2008  using double large prime bound of 2395491891430500 (43-52 bits)
Wed Oct 15 16:15:08 2008  using trial factoring cutoff of 52 bits
Wed Oct 15 16:15:08 2008  polynomial 'A' values have 12 factors
Wed Oct 15 23:33:55 2008  86273 relations (21010 full + 65263 combined from 1288906 partial), need 85978
Wed Oct 15 23:34:00 2008  begin with 1309916 relations
Wed Oct 15 23:34:02 2008  reduce to 225209 relations in 11 passes
Wed Oct 15 23:34:02 2008  attempting to read 225209 relations
Wed Oct 15 23:34:09 2008  recovered 225209 relations
Wed Oct 15 23:34:09 2008  recovered 208543 polynomials
Wed Oct 15 23:34:10 2008  attempting to build 86273 cycles
Wed Oct 15 23:34:10 2008  found 86273 cycles in 6 passes
Wed Oct 15 23:34:10 2008  distribution of cycle lengths:
Wed Oct 15 23:34:10 2008     length 1 : 21010
Wed Oct 15 23:34:10 2008     length 2 : 15212
Wed Oct 15 23:34:10 2008     length 3 : 14481
Wed Oct 15 23:34:10 2008     length 4 : 11709
Wed Oct 15 23:34:10 2008     length 5 : 8783
Wed Oct 15 23:34:10 2008     length 6 : 5987
Wed Oct 15 23:34:10 2008     length 7 : 3793
Wed Oct 15 23:34:10 2008     length 9+: 5298
Wed Oct 15 23:34:10 2008  largest cycle: 22 relations
Wed Oct 15 23:34:10 2008  matrix is 85882 x 86273 (23.5 MB) with weight 5811120 (67.36/col)
Wed Oct 15 23:34:10 2008  sparse part has weight 5811120 (67.36/col)
Wed Oct 15 23:34:12 2008  filtering completed in 4 passes
Wed Oct 15 23:34:12 2008  matrix is 81786 x 81850 (22.3 MB) with weight 5526947 (67.53/col)
Wed Oct 15 23:34:12 2008  sparse part has weight 5526947 (67.53/col)
Wed Oct 15 23:34:13 2008  saving the first 48 matrix rows for later
Wed Oct 15 23:34:13 2008  matrix is 81738 x 81850 (15.7 MB) with weight 4521233 (55.24/col)
Wed Oct 15 23:34:13 2008  sparse part has weight 3616544 (44.19/col)
Wed Oct 15 23:34:13 2008  matrix includes 64 packed rows
Wed Oct 15 23:34:13 2008  using block size 21845 for processor cache size 512 kB
Wed Oct 15 23:34:14 2008  commencing Lanczos iteration
Wed Oct 15 23:34:14 2008  memory use: 14.2 MB
Wed Oct 15 23:35:33 2008  lanczos halted after 1294 iterations (dim = 81736)
Wed Oct 15 23:35:34 2008  recovered 16 nontrivial dependencies
Wed Oct 15 23:35:35 2008  prp31 factor: 3042549675264553555477312649387
Wed Oct 15 23:35:35 2008  prp66 factor: 395948183335808890825034372088476100294521230559806139712454179923
Wed Oct 15 23:35:35 2008  elapsed time 07:20:31

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 14, 2008 16:00:00 UTC 2008 年 10 月 15 日 (水) 1 時 0 分 0 秒 (日本時間)

26×10127-179

c119

name 名前Sinkiti Sibata
date 日付October 15, 2008 00:38:50 UTC 2008 年 10 月 15 日 (水) 9 時 38 分 50 秒 (日本時間)
composite number 合成数
32472796519521605950704707962779367391733293104734093089187017362312920723741833758460503464549450724888744205594623933<119>
prime factors 素因数
176708995742868033725601335173947516522546743<45>
183764252538525370473390572332885210401984688084514695855899989508440764331<75>
factorization results 素因数分解の結果
Number: 28887_127
N=32472796519521605950704707962779367391733293104734093089187017362312920723741833758460503464549450724888744205594623933
  ( 119 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=176708995742868033725601335173947516522546743 (pp45)
 r2=183764252538525370473390572332885210401984688084514695855899989508440764331 (pp75)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 3.81 hours.
Scaled time: 2.98 units (timescale=0.783).
Factorization parameters were as follows:
name: 28887_127
n: 32472796519521605950704707962779367391733293104734093089187017362312920723741833758460503464549450724888744205594623933
m: 10000000000000000000000000
c5: 2600
c0: -17
skew: 0.37
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [400000, 850001)
Primes: RFBsize:63951, AFBsize:63953, largePrimes:1446680 encountered
Relations: rels:1429455, finalFF:159869
Max relations in full relation-set: 28
Initial matrix: 127971 x 159869 with sparse part having weight 9961803.
Pruned matrix : 117646 x 118349 with weight 5787394.
Total sieving time: 3.68 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,128,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 3.81 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 14, 2008 16:00:00 UTC 2008 年 10 月 15 日 (水) 1 時 0 分 0 秒 (日本時間)

26×10134-179

c121

name 名前Sinkiti Sibata
date 日付October 15, 2008 00:51:32 UTC 2008 年 10 月 15 日 (水) 9 時 51 分 32 秒 (日本時間)
composite number 合成数
5258467904379893917425879319299797702544751262661304331982090981680291206386080564645724578974138223446115582384798742539<121>
prime factors 素因数
15177348453623950838024813965176032894221<41>
346468154200169948635742296967949960762542906674809782261859479169727252266013559<81>
factorization results 素因数分解の結果
Number: 28887_134
N=5258467904379893917425879319299797702544751262661304331982090981680291206386080564645724578974138223446115582384798742539
  ( 121 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=15177348453623950838024813965176032894221 (pp41)
 r2=346468154200169948635742296967949960762542906674809782261859479169727252266013559 (pp81)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 8.36 hours.
Scaled time: 8.38 units (timescale=1.002).
Factorization parameters were as follows:
name: 28887_134
n: 5258467904379893917425879319299797702544751262661304331982090981680291206386080564645724578974138223446115582384798742539
m: 1000000000000000000000000000
c5: 13
c0: -85
skew: 1.46
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 1675001)
Primes: RFBsize:78498, AFBsize:64473, largePrimes:1753499 encountered
Relations: rels:1865992, finalFF:264471
Max relations in full relation-set: 28
Initial matrix: 143036 x 264471 with sparse part having weight 26412188.
Pruned matrix : 117853 x 118632 with weight 11238155.
Total sieving time: 8.22 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 8.36 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 14, 2008 16:00:00 UTC 2008 年 10 月 15 日 (水) 1 時 0 分 0 秒 (日本時間)

26×10137-179

c134

name 名前Sinkiti Sibata
date 日付October 15, 2008 03:59:53 UTC 2008 年 10 月 15 日 (水) 12 時 59 分 53 秒 (日本時間)
composite number 合成数
64642848263345018771288630317495835508813803734367618905546853633673951418413266701474354193083215235822082991472116556027945600556923<134>
prime factors 素因数
526294333620542813446146956660416129<36>
2734255542207168448248267232752481223<37>
44921338536578715635599211917927596126790380075342452322497069<62>
factorization results 素因数分解の結果
Number: 28887_137
N=64642848263345018771288630317495835508813803734367618905546853633673951418413266701474354193083215235822082991472116556027945600556923
  ( 134 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=526294333620542813446146956660416129 (pp36)
 r2=2734255542207168448248267232752481223 (pp37)
 r3=44921338536578715635599211917927596126790380075342452322497069 (pp62)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 8.31 hours.
Scaled time: 8.41 units (timescale=1.011).
Factorization parameters were as follows:
name: 28887_137
n: 64642848263345018771288630317495835508813803734367618905546853633673951418413266701474354193083215235822082991472116556027945600556923
m: 1000000000000000000000000000
c5: 2600
c0: -17
skew: 0.37
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 1675001)
Primes: RFBsize:78498, AFBsize:63953, largePrimes:1617804 encountered
Relations: rels:1626585, finalFF:164691
Max relations in full relation-set: 28
Initial matrix: 142518 x 164691 with sparse part having weight 17091487.
Pruned matrix : 136891 x 137667 with weight 12918139.
Total sieving time: 8.15 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,138,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 8.31 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 14, 2008 16:00:00 UTC 2008 年 10 月 15 日 (水) 1 時 0 分 0 秒 (日本時間)

26×10144-179

c143

name 名前Sinkiti Sibata
date 日付October 15, 2008 09:25:28 UTC 2008 年 10 月 15 日 (水) 18 時 25 分 28 秒 (日本時間)
composite number 合成数
14968336211859527921704087507196315486470926885434657455382843983880253310305123776626367299942429476108232584916522740356937248128957973517559<143>
prime factors 素因数
1782151055743702442344825007074171523<37>
16521095534080175058325500493943837954429<41>
508382011054035835676406114546052839485630855313152746851685502977<66>
factorization results 素因数分解の結果
Number: 28887_144
N=14968336211859527921704087507196315486470926885434657455382843983880253310305123776626367299942429476108232584916522740356937248128957973517559
  ( 143 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=1782151055743702442344825007074171523 (pp37)
 r2=16521095534080175058325500493943837954429 (pp41)
 r3=508382011054035835676406114546052839485630855313152746851685502977 (pp66)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 19.60 hours.
Scaled time: 19.78 units (timescale=1.009).
Factorization parameters were as follows:
name: 28887_144
n: 14968336211859527921704087507196315486470926885434657455382843983880253310305123776626367299942429476108232584916522740356937248128957973517559
m: 100000000000000000000000000000
c5: 13
c0: -85
skew: 1.46
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [750000, 3250001)
Primes: RFBsize:114155, AFBsize:114742, largePrimes:2972820 encountered
Relations: rels:2998620, finalFF:273682
Max relations in full relation-set: 28
Initial matrix: 228962 x 273682 with sparse part having weight 31732339.
Pruned matrix : 216250 x 217458 with weight 23641325.
Total sieving time: 19.18 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.32 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 19.60 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 14, 2008 16:00:00 UTC 2008 年 10 月 15 日 (水) 1 時 0 分 0 秒 (日本時間)

26×10149-179

c150

name 名前Serge Batalov
date 日付October 15, 2008 05:17:44 UTC 2008 年 10 月 15 日 (水) 14 時 17 分 44 秒 (日本時間)
composite number 合成数
288888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<150>
prime factors 素因数
134971906566222676263728404267505511206402426126592403563178725170953<69>
2140363103985260191659544710319723616409514346738105611022769933803701494623081279<82>
factorization results 素因数分解の結果
SNFS difficulty: 151 digits.
Divisors found:
 r1=134971906566222676263728404267505511206402426126592403563178725170953
 r2=2140363103985260191659544710319723616409514346738105611022769933803701494623081279
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.946).
Factorization parameters were as follows:
n: 288888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887
m: 1000000000000000000000000000000
c5: 13
c0: -85
skew: 1.46
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [1200000, 1900001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 506341 x 506589
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,54,54,2.5,2.5,100000
total time: 10.00 hours.
software ソフトウェア
Msieve-1.38
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 14, 2008 16:00:00 UTC 2008 年 10 月 15 日 (水) 1 時 0 分 0 秒 (日本時間)

26×10153-179

c96

name 名前Sinkiti Sibata
date 日付October 15, 2008 07:09:31 UTC 2008 年 10 月 15 日 (水) 16 時 9 分 31 秒 (日本時間)
composite number 合成数
581611377564460147190254458089733717901553248586056816556993159064446199463882568826397249475201<96>
prime factors 素因数
144033299950349239793375411134290953<36>
4038034105758540631100193593028886436502038569222778774393017<61>
factorization results 素因数分解の結果
Wed Oct 15 07:31:11 2008  Msieve v. 1.38
Wed Oct 15 07:31:11 2008  random seeds: 4a2e2996 99e36ae2
Wed Oct 15 07:31:11 2008  factoring 581611377564460147190254458089733717901553248586056816556993159064446199463882568826397249475201 (96 digits)
Wed Oct 15 07:31:13 2008  searching for 15-digit factors
Wed Oct 15 07:31:15 2008  commencing quadratic sieve (96-digit input)
Wed Oct 15 07:31:15 2008  using multiplier of 5
Wed Oct 15 07:31:15 2008  using 64kb Pentium 4 sieve core
Wed Oct 15 07:31:15 2008  sieve interval: 18 blocks of size 65536
Wed Oct 15 07:31:15 2008  processing polynomials in batches of 6
Wed Oct 15 07:31:15 2008  using a sieve bound of 2296873 (84706 primes)
Wed Oct 15 07:31:15 2008  using large prime bound of 344530950 (28 bits)
Wed Oct 15 07:31:15 2008  using double large prime bound of 2328149289953700 (43-52 bits)
Wed Oct 15 07:31:15 2008  using trial factoring cutoff of 52 bits
Wed Oct 15 07:31:15 2008  polynomial 'A' values have 12 factors
Wed Oct 15 16:02:07 2008  85039 relations (20512 full + 64527 combined from 1285560 partial), need 84802
Wed Oct 15 16:02:12 2008  begin with 1306072 relations
Wed Oct 15 16:02:14 2008  reduce to 223844 relations in 12 passes
Wed Oct 15 16:02:14 2008  attempting to read 223844 relations
Wed Oct 15 16:02:21 2008  recovered 223844 relations
Wed Oct 15 16:02:21 2008  recovered 210027 polynomials
Wed Oct 15 16:02:21 2008  attempting to build 85039 cycles
Wed Oct 15 16:02:21 2008  found 85039 cycles in 6 passes
Wed Oct 15 16:02:21 2008  distribution of cycle lengths:
Wed Oct 15 16:02:21 2008     length 1 : 20512
Wed Oct 15 16:02:21 2008     length 2 : 14602
Wed Oct 15 16:02:21 2008     length 3 : 13960
Wed Oct 15 16:02:21 2008     length 4 : 11605
Wed Oct 15 16:02:21 2008     length 5 : 8985
Wed Oct 15 16:02:21 2008     length 6 : 6035
Wed Oct 15 16:02:21 2008     length 7 : 3886
Wed Oct 15 16:02:21 2008     length 9+: 5454
Wed Oct 15 16:02:21 2008  largest cycle: 20 relations
Wed Oct 15 16:02:22 2008  matrix is 84706 x 85039 (23.8 MB) with weight 5898680 (69.36/col)
Wed Oct 15 16:02:22 2008  sparse part has weight 5898680 (69.36/col)
Wed Oct 15 16:02:24 2008  filtering completed in 3 passes
Wed Oct 15 16:02:24 2008  matrix is 80977 x 81040 (22.8 MB) with weight 5643742 (69.64/col)
Wed Oct 15 16:02:24 2008  sparse part has weight 5643742 (69.64/col)
Wed Oct 15 16:02:24 2008  saving the first 48 matrix rows for later
Wed Oct 15 16:02:25 2008  matrix is 80929 x 81040 (16.7 MB) with weight 4727767 (58.34/col)
Wed Oct 15 16:02:25 2008  sparse part has weight 3887127 (47.97/col)
Wed Oct 15 16:02:25 2008  matrix includes 64 packed rows
Wed Oct 15 16:02:25 2008  using block size 21845 for processor cache size 512 kB
Wed Oct 15 16:02:26 2008  commencing Lanczos iteration
Wed Oct 15 16:02:26 2008  memory use: 14.7 MB
Wed Oct 15 16:03:47 2008  lanczos halted after 1282 iterations (dim = 80929)
Wed Oct 15 16:03:47 2008  recovered 18 nontrivial dependencies
Wed Oct 15 16:03:50 2008  prp36 factor: 144033299950349239793375411134290953
Wed Oct 15 16:03:50 2008  prp61 factor: 4038034105758540631100193593028886436502038569222778774393017
Wed Oct 15 16:03:50 2008  elapsed time 08:32:39

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 14, 2008 16:00:00 UTC 2008 年 10 月 15 日 (水) 1 時 0 分 0 秒 (日本時間)
351e6904Serge BatalovOctober 14, 2008 19:18:51 UTC 2008 年 10 月 15 日 (水) 4 時 18 分 51 秒 (日本時間)

26×10154-179

c149

name 名前Serge Batalov
date 日付October 15, 2008 17:01:56 UTC 2008 年 10 月 16 日 (木) 2 時 1 分 56 秒 (日本時間)
composite number 合成数
96251058298895815263122628660825708213435981385045324993549328112083616996308031521481200132234146247559943123028472914026703745535894425916115721907<149>
prime factors 素因数
1655806187784170081376129355024512400874595061215829462877<58>
58129423001915900497455256477363673668965485263795199277948640370085158428885797129195181391<92>
factorization results 素因数分解の結果
SNFS difficulty: 156 digits.
Divisors found:
 r1=1655806187784170081376129355024512400874595061215829462877
 r2=58129423001915900497455256477363673668965485263795199277948640370085158428885797129195181391
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.315).
Factorization parameters were as follows:
n: 96251058298895815263122628660825708213435981385045324993549328112083616996308031521481200132234146247559943123028472914026703745535894425916115721907
m: 10000000000000000000000000000000
c5: 13
c0: -85
skew: 1.46
type: snfs
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [1500000, 2500001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 620058 x 620306
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,54,54,2.5,2.5,100000
total time: 15.00 hours.
software ソフトウェア
Msieve-1.38
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 14, 2008 16:00:00 UTC 2008 年 10 月 15 日 (水) 1 時 0 分 0 秒 (日本時間)

26×10157-179

c129

name 名前Sinkiti Sibata
date 日付October 17, 2008 05:22:56 UTC 2008 年 10 月 17 日 (金) 14 時 22 分 56 秒 (日本時間)
composite number 合成数
637175080124041304185260340865104028285702638816685146476778755934657374983610403654286401198601947444535960325318924282255462409<129>
prime factors 素因数
3677069971699943402973240503427918915132808241897783<52>
173283371006799030478413179782103712024486470011088345019793475092290392389823<78>
factorization results 素因数分解の結果
Number: 28887_157
N=637175080124041304185260340865104028285702638816685146476778755934657374983610403654286401198601947444535960325318924282255462409
  ( 129 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=3677069971699943402973240503427918915132808241897783 (pp52)
 r2=173283371006799030478413179782103712024486470011088345019793475092290392389823 (pp78)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 58.34 hours.
Scaled time: 44.57 units (timescale=0.764).
Factorization parameters were as follows:
name: 28887_157
n: 637175080124041304185260340865104028285702638816685146476778755934657374983610403654286401198601947444535960325318924282255462409
m: 10000000000000000000000000000000
c5: 2600
c0: -17
skew: 0.37
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 3700001)
Primes: RFBsize:283146, AFBsize:282132, largePrimes:5804981 encountered
Relations: rels:5920382, finalFF:725994
Max relations in full relation-set: 28
Initial matrix: 565345 x 725994 with sparse part having weight 47524292.
Pruned matrix : 442217 x 445107 with weight 31339304.
Total sieving time: 53.79 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 4.22 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 58.34 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 14, 2008 16:00:00 UTC 2008 年 10 月 15 日 (水) 1 時 0 分 0 秒 (日本時間)

26×10159-179

c99

name 名前Sinkiti Sibata
date 日付October 17, 2008 11:07:01 UTC 2008 年 10 月 17 日 (金) 20 時 7 分 1 秒 (日本時間)
composite number 合成数
349336837983491953871872894642555708833828354422395239433937378913519331683566606179884934655984351<99>
prime factors 素因数
457172000486643298781203262917205228548147422071<48>
764125619267224024718139398079281672269351217374681<51>
factorization results 素因数分解の結果
Fri Oct 17 07:48:19 2008  Msieve v. 1.38
Fri Oct 17 07:48:19 2008  random seeds: 0af0844d 10432bce
Fri Oct 17 07:48:19 2008  factoring 349336837983491953871872894642555708833828354422395239433937378913519331683566606179884934655984351 (99 digits)
Fri Oct 17 07:48:22 2008  searching for 15-digit factors
Fri Oct 17 07:48:25 2008  commencing quadratic sieve (99-digit input)
Fri Oct 17 07:48:26 2008  using multiplier of 5
Fri Oct 17 07:48:26 2008  using 32kb Intel Core sieve core
Fri Oct 17 07:48:26 2008  sieve interval: 36 blocks of size 32768
Fri Oct 17 07:48:26 2008  processing polynomials in batches of 6
Fri Oct 17 07:48:26 2008  using a sieve bound of 2605289 (95294 primes)
Fri Oct 17 07:48:26 2008  using large prime bound of 390793350 (28 bits)
Fri Oct 17 07:48:26 2008  using double large prime bound of 2920820370574650 (43-52 bits)
Fri Oct 17 07:48:26 2008  using trial factoring cutoff of 52 bits
Fri Oct 17 07:48:26 2008  polynomial 'A' values have 13 factors
Fri Oct 17 12:43:25 2008  15126 relations (9655 full + 5471 combined from 615376 partial), need 95390
Fri Oct 17 12:43:25 2008  elapsed time 04:55:06
Fri Oct 17 14:25:55 2008  
Fri Oct 17 14:25:55 2008  
Fri Oct 17 14:25:55 2008  Msieve v. 1.38
Fri Oct 17 14:25:55 2008  random seeds: 741f743b 867902a2
Fri Oct 17 14:25:55 2008  factoring 349336837983491953871872894642555708833828354422395239433937378913519331683566606179884934655984351 (99 digits)
Fri Oct 17 14:25:56 2008  searching for 15-digit factors
Fri Oct 17 14:25:58 2008  commencing quadratic sieve (99-digit input)
Fri Oct 17 14:25:58 2008  using multiplier of 5
Fri Oct 17 14:25:58 2008  using 32kb Intel Core sieve core
Fri Oct 17 14:25:58 2008  sieve interval: 36 blocks of size 32768
Fri Oct 17 14:25:58 2008  processing polynomials in batches of 6
Fri Oct 17 14:25:58 2008  using a sieve bound of 2605289 (95294 primes)
Fri Oct 17 14:25:58 2008  using large prime bound of 390793350 (28 bits)
Fri Oct 17 14:25:58 2008  using double large prime bound of 2920820370574650 (43-52 bits)
Fri Oct 17 14:25:58 2008  using trial factoring cutoff of 52 bits
Fri Oct 17 14:25:58 2008  polynomial 'A' values have 13 factors
Fri Oct 17 14:26:01 2008  restarting with 9655 full and 615376 partial relations
Fri Oct 17 19:59:18 2008  95480 relations (22688 full + 72792 combined from 1444752 partial), need 95390
Fri Oct 17 19:59:22 2008  begin with 1467440 relations
Fri Oct 17 19:59:23 2008  reduce to 252468 relations in 11 passes
Fri Oct 17 19:59:23 2008  attempting to read 252468 relations
Fri Oct 17 19:59:30 2008  recovered 252468 relations
Fri Oct 17 19:59:30 2008  recovered 242508 polynomials
Fri Oct 17 19:59:30 2008  attempting to build 95480 cycles
Fri Oct 17 19:59:30 2008  found 95480 cycles in 6 passes
Fri Oct 17 19:59:30 2008  distribution of cycle lengths:
Fri Oct 17 19:59:30 2008     length 1 : 22688
Fri Oct 17 19:59:30 2008     length 2 : 16361
Fri Oct 17 19:59:30 2008     length 3 : 15836
Fri Oct 17 19:59:30 2008     length 4 : 12998
Fri Oct 17 19:59:30 2008     length 5 : 9880
Fri Oct 17 19:59:30 2008     length 6 : 6778
Fri Oct 17 19:59:30 2008     length 7 : 4489
Fri Oct 17 19:59:30 2008     length 9+: 6450
Fri Oct 17 19:59:30 2008  largest cycle: 19 relations
Fri Oct 17 19:59:31 2008  matrix is 95294 x 95480 (25.1 MB) with weight 6205758 (65.00/col)
Fri Oct 17 19:59:31 2008  sparse part has weight 6205758 (65.00/col)
Fri Oct 17 19:59:31 2008  filtering completed in 3 passes
Fri Oct 17 19:59:31 2008  matrix is 91462 x 91526 (24.2 MB) with weight 5981686 (65.36/col)
Fri Oct 17 19:59:31 2008  sparse part has weight 5981686 (65.36/col)
Fri Oct 17 19:59:32 2008  saving the first 48 matrix rows for later
Fri Oct 17 19:59:32 2008  matrix is 91414 x 91526 (13.5 MB) with weight 4495303 (49.12/col)
Fri Oct 17 19:59:32 2008  sparse part has weight 2988757 (32.65/col)
Fri Oct 17 19:59:32 2008  matrix includes 64 packed rows
Fri Oct 17 19:59:32 2008  using block size 36610 for processor cache size 2048 kB
Fri Oct 17 19:59:33 2008  commencing Lanczos iteration
Fri Oct 17 19:59:33 2008  memory use: 14.1 MB
Fri Oct 17 20:00:21 2008  lanczos halted after 1448 iterations (dim = 91412)
Fri Oct 17 20:00:22 2008  recovered 17 nontrivial dependencies
Fri Oct 17 20:00:22 2008  prp48 factor: 457172000486643298781203262917205228548147422071
Fri Oct 17 20:00:22 2008  prp51 factor: 764125619267224024718139398079281672269351217374681
Fri Oct 17 20:00:22 2008  elapsed time 05:34:27

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 14, 2008 16:00:00 UTC 2008 年 10 月 15 日 (水) 1 時 0 分 0 秒 (日本時間)

26×10161-179

c148

name 名前Serge Batalov
date 日付October 16, 2008 17:31:16 UTC 2008 年 10 月 17 日 (金) 2 時 31 分 16 秒 (日本時間)
composite number 合成数
1580262537786569725372553727321669981525482758855547985590946005188563140610837578431188916339843319915956447890498719664890521061648998787481604483<148>
prime factors 素因数
265985593868700211361992135555305954314323409649102462483859930225459<69>
5941158371782505498596768539671106948764441091331681031338463367290089728487537<79>
factorization results 素因数分解の結果
SNFS difficulty: 162 digits.
Divisors found:
 r1=265985593868700211361992135555305954314323409649102462483859930225459
 r2=5941158371782505498596768539671106948764441091331681031338463367290089728487537
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.315).
Factorization parameters were as follows:
n: 1580262537786569725372553727321669981525482758855547985590946005188563140610837578431188916339843319915956447890498719664890521061648998787481604483
m: 100000000000000000000000000000000
c5: 260
c0: -17
skew: 0.58
type: snfs
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [2250000, 3750001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 805162 x 805410
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,54,54,2.5,2.5,100000
total time: 20.00 hours.
software ソフトウェア
Msieve-1.38
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 14, 2008 16:00:00 UTC 2008 年 10 月 15 日 (水) 1 時 0 分 0 秒 (日本時間)

26×10162-179

c152

name 名前Serge Batalov
date 日付October 15, 2008 17:00:45 UTC 2008 年 10 月 16 日 (木) 2 時 0 分 45 秒 (日本時間)
composite number 合成数
40015804032673956426793177377995556955910649250570011850509081244438492540540333850676610741645571858036088889078135323086736656603072425792048061050039<152>
prime factors 素因数
5501286498405655905342717694686972908197<40>
10125694884984205676521560253483207273265641799<47>
718360506293268421227792773673534536293455189801295656412695055613<66>
factorization results 素因数分解の結果
SNFS difficulty: 163 digits.
Divisors found:
 r1=5501286498405655905342717694686972908197
 r2=10125694884984205676521560253483207273265641799
 r3=718360506293268421227792773673534536293455189801295656412695055613
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.927).
Factorization parameters were as follows:
n: 40015804032673956426793177377995556955910649250570011850509081244438492540540333850676610741645571858036088889078135323086736656603072425792048061050039
m: 100000000000000000000000000000000
c5: 2600
c0: -17
skew: 0.37
type: snfs
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [2250000, 3750001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 854525 x 854773
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,54,54,2.5,2.5,100000
total time: 20.00 hours.
software ソフトウェア
Msieve-1.38
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 14, 2008 16:00:00 UTC 2008 年 10 月 15 日 (水) 1 時 0 分 0 秒 (日本時間)

26×10165-179

c154

name 名前Serge Batalov
date 日付October 14, 2008 22:22:59 UTC 2008 年 10 月 15 日 (水) 7 時 22 分 59 秒 (日本時間)
composite number 合成数
2696937924163873915499411466208160224371945095678310562671479931821566749268091710800593440662904909884913501917257097081579739978257846076233815398997843<154>
prime factors 素因数
7818152593406970277472416624103<31>
composite cofactor 合成数の残り
344958465819430965530710574646567760779022977241793408151628340601011887317136749920912630213301975588157023174300056198581<123>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=2782357100
Step 1 took 14693ms
Step 2 took 13021ms
********** Factor found in step 2: 7818152593406970277472416624103
Found probable prime factor of 31 digits: 7818152593406970277472416624103
Composite cofactor 344958465819430965530710574646567760779022977241793408151628340601011887317136749920912630213301975588157023174300056198581 has 123 digits
software ソフトウェア
GMP-ECM 6.2.1

c123

name 名前Serge Batalov
date 日付October 15, 2008 17:50:12 UTC 2008 年 10 月 16 日 (木) 2 時 50 分 12 秒 (日本時間)
composite number 合成数
344958465819430965530710574646567760779022977241793408151628340601011887317136749920912630213301975588157023174300056198581<123>
prime factors 素因数
12764119228429224522971656618663<32>
27025638012775141945475448077100614364122822615878345459713349089216440618643727446116152387<92>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=660598922
Step 1 took 12213ms
********** Factor found in step 1: 12764119228429224522971656618663
Found probable prime factor of 32 digits: 12764119228429224522971656618663
Probable prime cofactor 27025638012775141945475448077100614364122822615878345459713349089216440618643727446116152387 has 92 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 14, 2008 16:00:00 UTC 2008 年 10 月 15 日 (水) 1 時 0 分 0 秒 (日本時間)

26×10166-179

c164

name 名前Serge Batalov
date 日付October 16, 2008 09:23:37 UTC 2008 年 10 月 16 日 (木) 18 時 23 分 37 秒 (日本時間)
composite number 合成数
32865630135254708633548223991909998735937302490203514094299077234230817848565288838326380988497029452660851978258121602831500442421944128428770066995322968019213753<164>
prime factors 素因数
1471197411837404676000587813206308006550640281066939<52>
22339374628322814429464629999793314774821231845019922359202585861305762667563370954938494467079355549589396537627<113>
factorization results 素因数分解の結果
SNFS difficulty: 167 digits.
Divisors found:
 r1=1471197411837404676000587813206308006550640281066939
 r2=22339374628322814429464629999793314774821231845019922359202585861305762667563370954938494467079355549589396537627
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.953).
Factorization parameters were as follows:
n: 32865630135254708633548223991909998735937302490203514094299077234230817848565288838326380988497029452660851978258121602831500442421944128428770066995322968019213753
m: 1000000000000000000000000000000000
c5: 260
c0: -17
skew: 0.58
type: snfs
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [2750000, 4950001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 951798 x 952046
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,54,54,2.6,2.6,100000
total time: 40.00 hours.
software ソフトウェア
Msieve-1.38
execution environment 実行環境
Opteron-2.8GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 14, 2008 16:00:00 UTC 2008 年 10 月 15 日 (水) 1 時 0 分 0 秒 (日本時間)

26×10168-179

c155

name 名前Sinkiti Sibata
date 日付October 16, 2008 22:36:09 UTC 2008 年 10 月 17 日 (金) 7 時 36 分 9 秒 (日本時間)
composite number 合成数
12271673742223879146119302921287351987225723768693572415492792094221612528875452222509963796606702569982599797468379627090212002056147005375530500792715589<155>
prime factors 素因数
691786150359227305260342651851<30>
946812596364691311451086016834132866784096017745846067579369<60>
18735613134758722493314686248856404802936412322699495052983347031<65>
factorization results 素因数分解の結果
Number: 28887_168
N=12271673742223879146119302921287351987225723768693572415492792094221612528875452222509963796606702569982599797468379627090212002056147005375530500792715589
  ( 155 digits)
SNFS difficulty: 169 digits.
Divisors found:
 r1=691786150359227305260342651851 (pp30)
 r2=946812596364691311451086016834132866784096017745846067579369 (pp60)
 r3=18735613134758722493314686248856404802936412322699495052983347031 (pp65)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 138.68 hours.
Scaled time: 139.93 units (timescale=1.009).
Factorization parameters were as follows:
name: 28887_168
n: 12271673742223879146119302921287351987225723768693572415492792094221612528875452222509963796606702569982599797468379627090212002056147005375530500792715589
m: 2000000000000000000000000000000000
c5: 1625
c0: -34
skew: 0.46
type: snfs
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3000000, 7900001)
Primes: RFBsize:412849, AFBsize:412476, largePrimes:6178678 encountered
Relations: rels:6457589, finalFF:939587
Max relations in full relation-set: 28
Initial matrix: 825391 x 939587 with sparse part having weight 63700451.
Pruned matrix : 733378 x 737568 with weight 48023686.
Total sieving time: 134.15 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 4.29 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,169,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,48,48,2.6,2.6,100000
total time: 138.68 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 14, 2008 16:00:00 UTC 2008 年 10 月 15 日 (水) 1 時 0 分 0 秒 (日本時間)

26×10171-179

c131

name 名前Serge Batalov
date 日付October 17, 2008 01:11:34 UTC 2008 年 10 月 17 日 (金) 10 時 11 分 34 秒 (日本時間)
composite number 合成数
10677679240318532826005039240904534167670916978865045544602156351658099538686729192353536173985744815156709537329573088930949887741<131>
prime factors 素因数
48109016865913520195095540051309093<35>
221947566920328070216344062694348500510850700259673035094854433728769797473984579418247370694137<96>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2805974126
Step 1 took 5226ms
Step 2 took 3003ms
********** Factor found in step 2: 48109016865913520195095540051309093
Found probable prime factor of 35 digits: 48109016865913520195095540051309093
Probable prime cofactor 221947566920328070216344062694348500510850700259673035094854433728769797473984579418247370694137 has 96 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 14, 2008 16:00:00 UTC 2008 年 10 月 15 日 (水) 1 時 0 分 0 秒 (日本時間)

26×10172-179

c119

name 名前Sinkiti Sibata
date 日付October 20, 2008 14:32:59 UTC 2008 年 10 月 20 日 (月) 23 時 32 分 59 秒 (日本時間)
composite number 合成数
27773231513010531676806997508834162293990971944311745383468612502175567406803821638563467475456350783538064197649005979<119>
prime factors 素因数
79595740428624758405274066235447<32>
605333788407412819438944577230313913<36>
576423491058992736416957914655421765461285925809189<51>
factorization results 素因数分解の結果
Number: 28887_172
N=27773231513010531676806997508834162293990971944311745383468612502175567406803821638563467475456350783538064197649005979
  ( 119 digits)
Divisors found:
 r1=79595740428624758405274066235447 (pp32)
 r2=605333788407412819438944577230313913 (pp36)
 r3=576423491058992736416957914655421765461285925809189 (pp51)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 94.00 hours.
Scaled time: 44.46 units (timescale=0.473).
Factorization parameters were as follows:
name: 28887_172
n: 27773231513010531676806997508834162293990971944311745383468612502175567406803821638563467475456350783538064197649005979
skew: 37008.98
# norm 3.26e+16
c5: 55440
c4: 3164058222
c3: 1264562398005151
c2: -4105551205117045627
c1: -550046594059784674117371
c0: -1001973857328021287339465895
# alpha -6.55
Y1: 524543343403
Y0: -54949100966099077885304
# Murphy_E 3.50e-10
# M 6977594599683708295921293182066515609590231586712473955854354315894030466074015681292072989429107770858219365562363712
type: gnfs
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 60000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [2250000, 4170001)
Primes: RFBsize:315948, AFBsize:315849, largePrimes:7625017 encountered
Relations: rels:7651561, finalFF:714486
Max relations in full relation-set: 28
Initial matrix: 631882 x 714486 with sparse part having weight 61493390.
Pruned matrix : 563522 x 566745 with weight 43154206.
Total sieving time: 77.23 hours.
Total relation processing time: 0.94 hours.
Matrix solve time: 15.34 hours.
Time per square root: 0.48 hours.
Prototype def-par.txt line would be:
gnfs,118,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.4,2.4,60000
total time: 94.00 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 14, 2008 16:00:00 UTC 2008 年 10 月 15 日 (水) 1 時 0 分 0 秒 (日本時間)

26×10175-179

c132

name 名前Sinkiti Sibata
date 日付October 21, 2008 20:07:19 UTC 2008 年 10 月 22 日 (水) 5 時 7 分 19 秒 (日本時間)
composite number 合成数
127679151942693728206021113439808513462081475775475615214415429600954901928788362016440862567483214318764393846123460096592454169773<132>
prime factors 素因数
333421341979068916546519038846193733716819<42>
382936350699197296494228208288801846939571547135265957954115629647469996359944562538119167<90>
factorization results 素因数分解の結果
Number: 28887_175
N=127679151942693728206021113439808513462081475775475615214415429600954901928788362016440862567483214318764393846123460096592454169773
  ( 132 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=333421341979068916546519038846193733716819 (pp42)
 r2=382936350699197296494228208288801846939571547135265957954115629647469996359944562538119167 (pp90)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 309.56 hours.
Scaled time: 312.35 units (timescale=1.009).
Factorization parameters were as follows:
name: 28887_175
n: 127679151942693728206021113439808513462081475775475615214415429600954901928788362016440862567483214318764393846123460096592454169773
m: 100000000000000000000000000000000000
c5: 26
c0: -17
skew: 0.92
type: snfs
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3700000, 15000001)
Primes: RFBsize:501962, AFBsize:501686, largePrimes:6831540 encountered
Relations: rels:7367937, finalFF:1178170
Max relations in full relation-set: 28
Initial matrix: 1003714 x 1178170 with sparse part having weight 96796142.
Pruned matrix : 860913 x 865995 with weight 75896054.
Total sieving time: 301.51 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 7.74 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000
total time: 309.56 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 14, 2008 16:00:00 UTC 2008 年 10 月 15 日 (水) 1 時 0 分 0 秒 (日本時間)

26×10179-179

c143

name 名前Sinkiti Sibata
date 日付October 30, 2008 04:27:53 UTC 2008 年 10 月 30 日 (木) 13 時 27 分 53 秒 (日本時間)
composite number 合成数
54893137039612879596184897392530603975543294236018838293195344236899356693945768816826702494078297548438412058402012173090931238202908873267687<143>
prime factors 素因数
5568917968267078138899173830351221759908557861721<49>
9857056137728383106952550168939175812236563857884385884810595206543334545507467963339269590847<94>
factorization results 素因数分解の結果
Number: 28887_179
N=54893137039612879596184897392530603975543294236018838293195344236899356693945768816826702494078297548438412058402012173090931238202908873267687
  ( 143 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=5568917968267078138899173830351221759908557861721 (pp49)
 r2=9857056137728383106952550168939175812236563857884385884810595206543334545507467963339269590847 (pp94)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 548.54 hours.
Scaled time: 553.48 units (timescale=1.009).
Factorization parameters were as follows:
name: 28887_179
n: 54893137039612879596184897392530603975543294236018838293195344236899356693945768816826702494078297548438412058402012173090931238202908873267687
m: 1000000000000000000000000000000000000
c5: 13
c0: -85
skew: 1.46
type: snfs
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3700000, 11000001)
Primes: RFBsize:501962, AFBsize:501546, largePrimes:6747299 encountered
Relations: rels:7249285, finalFF:1172045
Max relations in full relation-set: 28
Initial matrix: 1003573 x 1172045 with sparse part having weight 87126144.
Pruned matrix : 865254 x 870335 with weight 67813684.
Total sieving time: 540.27 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 7.96 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000
total time: 548.54 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 14, 2008 16:00:00 UTC 2008 年 10 月 15 日 (水) 1 時 0 分 0 秒 (日本時間)

26×10183-179

c184

name 名前Jo Yeong Uk
date 日付October 29, 2008 11:49:05 UTC 2008 年 10 月 29 日 (水) 20 時 49 分 5 秒 (日本時間)
composite number 合成数
2888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<184>
prime factors 素因数
571191356051002418872131436996090915923457383067405912592086693050165007850808002169422749<90>
5057655124302924926840820612415887462963794902802707794326442625485636705143562806846593819363<94>
factorization results 素因数分解の結果
Number: 28887_183
N=2888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887
  ( 184 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=571191356051002418872131436996090915923457383067405912592086693050165007850808002169422749 (pp90)
 r2=5057655124302924926840820612415887462963794902802707794326442625485636705143562806846593819363 (pp94)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 296.85 hours.
Scaled time: 704.43 units (timescale=2.373).
Factorization parameters were as follows:
n: 2888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887
m: 10000000000000000000000000000000000000
c5: 13
c0: -850
skew: 2.31
type: snfs
Factor base limits: 12000000/12000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 51/51
Sieved algebraic special-q in [6000000, 11300001)
Primes: RFBsize:788060, AFBsize:788454, largePrimes:12608406 encountered
Relations: rels:13159127, finalFF:1768281
Max relations in full relation-set: 28
Initial matrix: 1576580 x 1768281 with sparse part having weight 117863959.
Pruned matrix : 1406297 x 1414243 with weight 86507487.
Total sieving time: 280.09 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 16.38 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,12000000,12000000,28,28,51,51,2.6,2.6,100000
total time: 296.85 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 14, 2008 16:00:00 UTC 2008 年 10 月 15 日 (水) 1 時 0 分 0 秒 (日本時間)
351e6904Jo Yeong UkOctober 15, 2008 08:53:54 UTC 2008 年 10 月 15 日 (水) 17 時 53 分 54 秒 (日本時間)
403e62350Jo Yeong UkOctober 17, 2008 23:41:28 UTC 2008 年 10 月 18 日 (土) 8 時 41 分 28 秒 (日本時間)

26×10184-179

c179

name 名前Serge Batalov
date 日付October 15, 2008 19:06:22 UTC 2008 年 10 月 16 日 (木) 4 時 6 分 22 秒 (日本時間)
composite number 合成数
35900509745814725477777101191247952807951465824716865797128704846306465806076216506032597386691432495235933317288567054626906023649875031706363655318101299363718696308889090484059<179>
prime factors 素因数
1320609859565989645500044320598167223<37>
composite cofactor 合成数の残り
27184796089295598978415391289548696133680825116303565800551982812921189048358167264993631889810511264157528029387662330821692327090836318455933<143>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=1909449008
Step 1 took 24466ms
Step 2 took 16501ms
********** Factor found in step 2: 1320609859565989645500044320598167223
Found probable prime factor of 37 digits: 1320609859565989645500044320598167223
Composite cofactor 27184796089295598978415391289548696133680825116303565800551982812921189048358167264993631889810511264157528029387662330821692327090836318455933 has 143 digits
software ソフトウェア
GMP-ECM 6.2.1

c143

name 名前Dmitry Domanov
date 日付May 13, 2013 12:45:04 UTC 2013 年 5 月 13 日 (月) 21 時 45 分 4 秒 (日本時間)
composite number 合成数
27184796089295598978415391289548696133680825116303565800551982812921189048358167264993631889810511264157528029387662330821692327090836318455933<143>
prime factors 素因数
39726525073084482231811855145440261<35>
56769868243326996068138076631635363450932003<44>
12053900854975104886597626247097584098530293555309152172407068051<65>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=256027446
Step 1 took 16789ms
Step 2 took 6973ms
********** Factor found in step 2: 39726525073084482231811855145440261
Found probable prime factor of 35 digits: 39726525073084482231811855145440261
Composite cofactor 684298363355063333642555758168215010234133442839727629725412662662234710551914240510334161494408040594736153 has 108 digits

N=684298363355063333642555758168215010234133442839727629725412662662234710551914240510334161494408040594736153
  ( 108 digits)
Divisors found:
 r1=56769868243326996068138076631635363450932003 (pp44)
 r2=12053900854975104886597626247097584098530293555309152172407068051 (pp65)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 15.48 hours.
Scaled time: 29.01 units (timescale=1.874).
Factorization parameters were as follows:
n: 684298363355063333642555758168215010234133442839727629725412662662234710551914240510334161494408040594736153
skew: 61964470.54
c0: -140299693382763239909406933704895
c1: 3497004423300651718545890
c2: 64016169152911451
c3: -313303630
c4: 24
Y0: -410921327052558775737691684
Y1: 33945968819123
rlim: 2920000
alim: 2920000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 400000
Factor base limits: 2920000/2920000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1460000, 3460001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 514893 x 515119
Total sieving time: 15.06 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.24 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
gnfs,107,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2920000,2920000,26,26,52,52,2.5,2.5,150000
total time: 15.48 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 14, 2008 16:00:00 UTC 2008 年 10 月 15 日 (水) 1 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosApril 23, 2011 11:27:36 UTC 2011 年 4 月 23 日 (土) 20 時 27 分 36 秒 (日本時間)
403e6110 / 2144Ignacio SantosApril 23, 2011 11:27:36 UTC 2011 年 4 月 23 日 (土) 20 時 27 分 36 秒 (日本時間)
4511e632 / 4441Ignacio SantosApril 23, 2011 11:27:36 UTC 2011 年 4 月 23 日 (土) 20 時 27 分 36 秒 (日本時間)

26×10186-179

c153

name 名前Dmitry Domanov
date 日付August 26, 2013 09:34:24 UTC 2013 年 8 月 26 日 (月) 18 時 34 分 24 秒 (日本時間)
composite number 合成数
808418903045996618109740484168530339739363215530980934560191667022315275004785601025561743763166140982602766078260277274901559183969544068350933426356133<153>
prime factors 素因数
146203648118672203771476839521743508125823598003164107077<57>
5529403085686413025689548226969862116538460730222913935956926371335284404156153721034793787861729<97>
factorization results 素因数分解の結果
N=808418903045996618109740484168530339739363215530980934560191667022315275004785601025561743763166140982602766078260277274901559183969544068350933426356133
  ( 153 digits)
SNFS difficulty: 187 digits.
Divisors found:
 r1=146203648118672203771476839521743508125823598003164107077 (pp57)
 r2=5529403085686413025689548226969862116538460730222913935956926371335284404156153721034793787861729 (pp97)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 212.29 hours.
Scaled time: 405.90 units (timescale=1.912).
Factorization parameters were as follows:
n: 808418903045996618109740484168530339739363215530980934560191667022315275004785601025561743763166140982602766078260277274901559183969544068350933426356133
m: 10000000000000000000000000000000000000
deg: 5
c5: 260
c0: -17
skew: 0.58
# Murphy_E = 4.659e-11
type: snfs
lss: 1
rlim: 9300000
alim: 9300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 9300000/9300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4650000, 14850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2001979 x 2002209
Total sieving time: 207.63 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 4.17 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
snfs,187.000,5,0,0,0,0,0,0,0,0,9300000,9300000,28,28,54,54,2.5,2.5,100000
total time: 212.29 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 14, 2008 16:00:00 UTC 2008 年 10 月 15 日 (水) 1 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosApril 23, 2011 12:11:10 UTC 2011 年 4 月 23 日 (土) 21 時 11 分 10 秒 (日本時間)
403e61110110Ignacio SantosApril 23, 2011 12:11:10 UTC 2011 年 4 月 23 日 (土) 21 時 11 分 10 秒 (日本時間)
1000Dmitry DomanovJune 14, 2013 14:08:16 UTC 2013 年 6 月 14 日 (金) 23 時 8 分 16 秒 (日本時間)
4511e61032 / 422032Ignacio SantosApril 23, 2011 12:11:10 UTC 2011 年 4 月 23 日 (土) 21 時 11 分 10 秒 (日本時間)
1000Dmitry DomanovJune 23, 2013 21:20:37 UTC 2013 年 6 月 24 日 (月) 6 時 20 分 37 秒 (日本時間)

26×10189-179

c161

name 名前Dmitry Domanov
date 日付May 10, 2013 08:43:26 UTC 2013 年 5 月 10 日 (金) 17 時 43 分 26 秒 (日本時間)
composite number 合成数
21347619406153647254790230612510092041416112185292390447046220545881420796405389716463093399938207657939861288581548344313492393873318775113940644674794811179691<161>
prime factors 素因数
308558625109499251401820985922667799129<39>
69184970598627553405721583020567880328939767088659245846281753528690243836282372708043882582675957484334049718542087996579<122>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1892484777
Step 1 took 19429ms
Step 2 took 7947ms
********** Factor found in step 2: 308558625109499251401820985922667799129
Found probable prime factor of 39 digits: 308558625109499251401820985922667799129

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 14, 2008 16:00:00 UTC 2008 年 10 月 15 日 (水) 1 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosApril 23, 2011 13:54:40 UTC 2011 年 4 月 23 日 (土) 22 時 54 分 40 秒 (日本時間)
403e6110 / 2144Ignacio SantosApril 23, 2011 13:54:40 UTC 2011 年 4 月 23 日 (土) 22 時 54 分 40 秒 (日本時間)
4511e632 / 4441Ignacio SantosApril 23, 2011 13:54:40 UTC 2011 年 4 月 23 日 (土) 22 時 54 分 40 秒 (日本時間)

26×10191-179

c167

composite cofactor 合成数の残り
15414638266408339951323984387721773155252815502067007572766414636316980146812770209671083451811386044716354282159269859999847706003798607445293482414929520947276398059<167>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 14, 2008 16:00:00 UTC 2008 年 10 月 15 日 (水) 1 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosApril 23, 2011 15:35:29 UTC 2011 年 4 月 24 日 (日) 0 時 35 分 29 秒 (日本時間)
403e61110110Ignacio SantosApril 23, 2011 15:35:29 UTC 2011 年 4 月 24 日 (日) 0 時 35 分 29 秒 (日本時間)
1000Dmitry DomanovJune 14, 2013 14:08:25 UTC 2013 年 6 月 14 日 (金) 23 時 8 分 25 秒 (日本時間)
4511e6832 / 422032Ignacio SantosApril 23, 2011 15:35:29 UTC 2011 年 4 月 24 日 (日) 0 時 35 分 29 秒 (日本時間)
800Dmitry DomanovJune 19, 2013 22:02:01 UTC 2013 年 6 月 20 日 (木) 7 時 2 分 1 秒 (日本時間)

26×10192-179

c180

name 名前Serge Batalov
date 日付October 17, 2008 01:34:09 UTC 2008 年 10 月 17 日 (金) 10 時 34 分 9 秒 (日本時間)
composite number 合成数
888842675025580461483988862925501522172396431458538302704098619756709429980641051458342340505127591232656653596306171850032534698056438606258306081122557140104042506384936460360569<180>
prime factors 素因数
82042192357926772102610496389810561633<38>
composite cofactor 合成数の残り
10833970296013207989084662536581651616879108714184793508692814128673265107095600617603313406072713756279265813854583416619917872689578064723993<143>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=652635297
Step 1 took 9334ms
Step 2 took 4332ms
********** Factor found in step 2: 82042192357926772102610496389810561633
Found probable prime factor of 38 digits: 82042192357926772102610496389810561633
Composite cofactor 10833970296013207989084662536581651616879108714184793508692814128673265107095600617603313406072713756279265813854583416619917872689578064723993 has 143 digits
software ソフトウェア
GMP-ECM 6.2.1

c143

name 名前Serge Batalov
date 日付October 17, 2008 07:45:00 UTC 2008 年 10 月 17 日 (金) 16 時 45 分 0 秒 (日本時間)
composite number 合成数
10833970296013207989084662536581651616879108714184793508692814128673265107095600617603313406072713756279265813854583416619917872689578064723993<143>
prime factors 素因数
646339692493393337747248290139367<33>
23347548471027891222391051218682713727291<41>
717935663614141323476198407218450614415097949778852880550482361549069<69>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2198108180
Step 1 took 7098ms
Step 2 took 3284ms
********** Factor found in step 2: 646339692493393337747248290139367
Found probable prime factor of 33 digits: 646339692493393337747248290139367
Composite cofactor 16762037705310739694160961481530313246498654277376477496854405204777871932916995964594549612157158757580942079 has 110 digits

Number: 28883_192
N=16762037705310739694160961481530313246498654277376477496854405204777871932916995964594549612157158757580942079
  ( 110 digits)
Divisors found:
 r1=23347548471027891222391051218682713727291
 r2=717935663614141323476198407218450614415097949778852880550482361549069
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.729).
Factorization parameters were as follows:
name: 28883_192
n: 16762037705310739694160961481530313246498654277376477496854405204777871932916995964594549612157158757580942079
skew: 19634.27
# norm 1.15e+15
c5: 23760
c4: -732510172
c3: -74628572677882
c2: 291776264655235985
c1: 6237779486097660130452
c0: -18038503918973282230456943
# alpha -5.40
Y1: 313275396047
Y0: -932603358146879780640
# Murphy_E 1.05e-09
# M 5809571181138759701044419189937894699342167502695450717956767491143381064004365373882245868097473045576903676
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, 3000001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 406475 x 406723
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,109,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 10.00 hours.
software ソフトウェア
GMP-ECM 6.2.1; Msieve-1.38/gnfs
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 14, 2008 16:00:00 UTC 2008 年 10 月 15 日 (水) 1 時 0 分 0 秒 (日本時間)

26×10194-179

c191

name 名前Robert Backstrom
date 日付February 7, 2010 15:23:09 UTC 2010 年 2 月 8 日 (月) 0 時 23 分 9 秒 (日本時間)
composite number 合成数
15626596467187152533612207977978519440087028121863411526417963373661972677497100064309454691885589272942548217065445388050461886130193589489310806993502942007296418504294308913771238648179201<191>
prime factors 素因数
7424577444081465199644878390221956376139<40>
96942856703978898224609908436953202767406259931799891<53>
21710850776123173933795522336376573592096102085576350141569591485808016975406800565073205663702449<98>
factorization results 素因数分解の結果
Number: n
N=15626596467187152533612207977978519440087028121863411526417963373661972677497100064309454691885589272942548217065445388050461886130193589489310806993502942007296418504294308913771238648179201
  ( 191 digits)
SNFS difficulty: 195 digits.
Divisors found:

Mon Feb  8 02:17:59 2010  prp40 factor: 7424577444081465199644878390221956376139
Mon Feb  8 02:17:59 2010  prp53 factor: 96942856703978898224609908436953202767406259931799891
Mon Feb  8 02:17:59 2010  prp98 factor: 21710850776123173933795522336376573592096102085576350141569591485808016975406800565073205663702449
Mon Feb  8 02:17:59 2010  elapsed time 13:12:48 (Msieve 1.42 - dependency 8)

Version: 
Total time: 22.94 hours.
Scaled time: 19.25 units (timescale=0.839).
Factorization parameters were as follows:
name: KA_2_8_193_7
n: 15626596467187152533612207977978519440087028121863411526417963373661972677497100064309454691885589272942548217065445388050461886130193589489310806993502942007296418504294308913771238648179201
m: 200000000000000000000000000000000000000
deg: 5
c5: 8125
c0: -17
skew: 0.29
type: snfs
lss: 1
rlim: 12600000
alim: 12600000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 12600000/12600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 12829741)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3708118 hash collisions in 27212519 relations
Msieve: matrix is 2008813 x 2009038 (537.6 MB)

Total sieving time: 22.94 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,195,5,0,0,0,0,0,0,0,0,12600000,12600000,28,28,56,56,2.5,2.5,100000
total time: 22.94 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 14, 2008 16:00:00 UTC 2008 年 10 月 15 日 (水) 1 時 0 分 0 秒 (日本時間)
351e6825Wataru SakaiSeptember 5, 2009 05:12:45 UTC 2009 年 9 月 5 日 (土) 14 時 12 分 45 秒 (日本時間)

26×10195-179

c195

name 名前Robert Backstrom
date 日付May 2, 2009 06:15:07 UTC 2009 年 5 月 2 日 (土) 15 時 15 分 7 秒 (日本時間)
composite number 合成数
125603864734299516908212560386473429951690821256038647342995169082125603864734299516908212560386473429951690821256038647342995169082125603864734299516908212560386473429951690821256038647342995169<195>
prime factors 素因数
16387913092815080088799706325752575559733136683692971560249525931029829007<74>
7664420968242000729840063963573618783981209238122361233171156686202207659037578930162203115556226303477752467991137793167<121>
factorization results 素因数分解の結果
Number: n
N=125603864734299516908212560386473429951690821256038647342995169082125603864734299516908212560386473429951690821256038647342995169082125603864734299516908212560386473429951690821256038647342995169
  ( 195 digits)
SNFS difficulty: 196 digits.
Divisors found:

Sat May  2 15:22:30 2009  prp74 factor: 16387913092815080088799706325752575559733136683692971560249525931029829007
Sat May  2 15:22:30 2009  prp121 factor: 7664420968242000729840063963573618783981209238122361233171156686202207659037578930162203115556226303477752467991137793167
Sat May  2 15:22:30 2009  elapsed time 06:44:20 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20050930-k8
Total time: 10.92 hours.
Scaled time: 15.98 units (timescale=1.464).
Factorization parameters were as follows:
name: KA_2_8_194_7
n: 125603864734299516908212560386473429951690821256038647342995169082125603864734299516908212560386473429951690821256038647342995169082125603864734299516908212560386473429951690821256038647342995169
m: 1000000000000000000000000000000000000000
deg: 5
c5: 26
c0: -17
skew: 0.92
type: snfs
lss: 1
rlim: 13100000
alim: 13100000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 13100000/13100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [6550000, 8109131)
Primes: RFBsize:855281, AFBsize:853884, largePrimes:21946999 encountered
Relations: rels:23351118, finalFF:1445023
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3003984 hash collisions in 25646907 relations
Msieve: matrix is 2161958 x 2162206 (577.1 MB)

Total sieving time: 10.47 hours.
Total relation processing time: 0.45 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13100000,13100000,28,28,56,56,2.5,2.5,100000
total time: 10.92 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 3368968k/3407296k available (2747k kernel code, 36968k reserved, 1425k data, 416k init, 2489792k highmem)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.99 BogoMIPS (lpj=2830496)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830446)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830456)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830453)
Total of 4 processors activated (22643.70 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 14, 2008 16:00:00 UTC 2008 年 10 月 15 日 (水) 1 時 0 分 0 秒 (日本時間)

26×10196-179

c135

name 名前Serge Batalov
date 日付October 17, 2008 02:23:21 UTC 2008 年 10 月 17 日 (金) 11 時 23 分 21 秒 (日本時間)
composite number 合成数
330774205700998249476692959941555704658466062063805847913606549041809501846875631869710994942225870064045353512619369504154228803575903<135>
prime factors 素因数
31939879173910580438400878878759<32>
10356150813844787900834823060533787167148150203266154500522047784924543502448871053345793359278564043017<104>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=847032883
Step 1 took 10326ms
Step 2 took 4807ms
********** Factor found in step 2: 31939879173910580438400878878759
Found probable prime factor of 32 digits: 31939879173910580438400878878759
Probable prime cofactor 10356150813844787900834823060533787167148150203266154500522047784924543502448871053345793359278564043017 has 104 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 14, 2008 16:00:00 UTC 2008 年 10 月 15 日 (水) 1 時 0 分 0 秒 (日本時間)

26×10198-179

c167

composite cofactor 合成数の残り
54368201646957887734820638765823985629095501422642461653111790827676014411937243777882224110117103445627220136026480165697003207075054264785300397035345734252233868873<167>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 14, 2008 16:00:00 UTC 2008 年 10 月 15 日 (水) 1 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosApril 23, 2011 16:19:14 UTC 2011 年 4 月 24 日 (日) 1 時 19 分 14 秒 (日本時間)
403e61110110Ignacio SantosApril 23, 2011 16:19:14 UTC 2011 年 4 月 24 日 (日) 1 時 19 分 14 秒 (日本時間)
1000Dmitry DomanovJune 6, 2013 15:31:40 UTC 2013 年 6 月 7 日 (金) 0 時 31 分 40 秒 (日本時間)
4511e61032 / 422032Ignacio SantosApril 23, 2011 16:19:14 UTC 2011 年 4 月 24 日 (日) 1 時 19 分 14 秒 (日本時間)
1000Dmitry DomanovJune 6, 2013 15:31:40 UTC 2013 年 6 月 7 日 (金) 0 時 31 分 40 秒 (日本時間)

26×10199-179

c183

name 名前matsui
date 日付July 8, 2011 13:41:02 UTC 2011 年 7 月 8 日 (金) 22 時 41 分 2 秒 (日本時間)
composite number 合成数
434891127539043234434097688355506321883081354794903581997982135948193342154597814130963867346065561390610398241642469260340387383865763636682500288238670789785148018098383482215535023<183>
prime factors 素因数
1245502778215280365687705374277619306904568259<46>
349169134863121096462062859479802778230676324325224197726362311978983940203604020047553120414541176159190077653658736698772034448950732197<138>
factorization results 素因数分解の結果
N=434891127539043234434097688355506321883081354794903581997982135948193342154597814130963867346065561390610398241642469260340387383865763636682500288238670789785148018098383482215535023
  ( 183 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=1245502778215280365687705374277619306904568259 (pp46)
 r2=349169134863121096462062859479802778230676324325224197726362311978983940203604020047553120414541176159190077653658736698772034448950732197 (pp138)
Version: Msieve v. 1.49
Total time:
Scaled time: 60.98 units (timescale=0.467).
Factorization parameters were as follows:
n: 434891127539043234434097688355506321883081354794903581997982135948193342154597814130963867346065561390610398241642469260340387383865763636682500288238670789785148018098383482215535023
m: 2000000000000000000000000000000000000000
deg: 5
c5: 8125
c0: -17
skew: 0.29
type: snfs
lss: 1
rlim: 15300000
alim: 15300000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 320000
Factor base limits: 15300000/15300000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [7650000, 19490001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3526162 x 3526389
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,200.000,5,0,0,0,0,0,0,0,0,15300000,15300000,29,29,56,56,2.6,2.6,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 14, 2008 16:00:00 UTC 2008 年 10 月 15 日 (水) 1 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosApril 23, 2011 20:13:17 UTC 2011 年 4 月 24 日 (日) 5 時 13 分 17 秒 (日本時間)
403e6110 / 2144Ignacio SantosApril 23, 2011 20:13:17 UTC 2011 年 4 月 24 日 (日) 5 時 13 分 17 秒 (日本時間)
4511e632 / 4441Ignacio SantosApril 23, 2011 20:13:17 UTC 2011 年 4 月 24 日 (日) 5 時 13 分 17 秒 (日本時間)

26×10200-179

c173

name 名前Robert Backstrom
date 日付October 8, 2012 05:45:15 UTC 2012 年 10 月 8 日 (月) 14 時 45 分 15 秒 (日本時間)
composite number 合成数
86724628332038997432957422509067627919431227697844238744759252699840768143997997059157125031748229330015386794466337924642248697959498023453223477174052216414219170692094887<173>
prime factors 素因数
11017491137972072258902161720782163991151072600037442311439102020692038783<74>
7871540557281710951686387440367282404549787631036199455153879978434456028112484559193138176493110489<100>
factorization results 素因数分解の結果
Number: n
N=86724628332038997432957422509067627919431227697844238744759252699840768143997997059157125031748229330015386794466337924642248697959498023453223477174052216414219170692094887
  ( 173 digits)
SNFS difficulty: 201 digits.
Divisors found:

Mon Oct  8 16:40:44 2012  prp74 factor: 11017491137972072258902161720782163991151072600037442311439102020692038783
Mon Oct  8 16:40:44 2012  prp100 factor: 7871540557281710951686387440367282404549787631036199455153879978434456028112484559193138176493110489
Mon Oct  8 16:40:44 2012  elapsed time 06:07:22 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.083).
Factorization parameters were as follows:
name: KA_28887_200
n: 86724628332038997432957422509067627919431227697844238744759252699840768143997997059157125031748229330015386794466337924642248697959498023453223477174052216414219170692094887
m: 10000000000000000000000000000000000000000
#  c173, diff: 201.41
skew: 0.919
deg: 5
c5: 26
c0: -17
# Murphy_E = 1.338e-11
type: snfs
lss: 1
rlim: 15900000
alim: 15900000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 15900000/15900000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 26950000)
Primes: RFBsize:1025092, AFBsize:1024131,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 10232298 hash collisions in 66730217 relations (59037065 unique)
Msieve: matrix is 1998328 x 1998555 (563.4 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,201,5,0,0,0,0,0,0,0,0,15900000,15900000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.42 BogoMIPS (lpj=2830711)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Total of 4 processors activated (22644.16 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 14, 2008 16:00:00 UTC 2008 年 10 月 15 日 (水) 1 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosApril 23, 2011 20:13:48 UTC 2011 年 4 月 24 日 (日) 5 時 13 分 48 秒 (日本時間)
403e6110 / 2144Ignacio SantosApril 23, 2011 20:13:48 UTC 2011 年 4 月 24 日 (日) 5 時 13 分 48 秒 (日本時間)
4511e632 / 4441Ignacio SantosApril 23, 2011 20:13:48 UTC 2011 年 4 月 24 日 (日) 5 時 13 分 48 秒 (日本時間)

26×10201-179

c171

composite cofactor 合成数の残り
652526187971680960073559273979976928659024944718191394691270632541234278787590360979253033587788699620665989006329336066397045069200694676403931650663616382217166579133457<171>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 14, 2008 16:00:00 UTC 2008 年 10 月 15 日 (水) 1 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosApril 23, 2011 20:14:18 UTC 2011 年 4 月 24 日 (日) 5 時 14 分 18 秒 (日本時間)
403e61110110Ignacio SantosApril 23, 2011 20:14:18 UTC 2011 年 4 月 24 日 (日) 5 時 14 分 18 秒 (日本時間)
1000Dmitry DomanovJune 6, 2013 15:32:18 UTC 2013 年 6 月 7 日 (金) 0 時 32 分 18 秒 (日本時間)
4511e61032 / 422032Ignacio SantosApril 23, 2011 20:14:18 UTC 2011 年 4 月 24 日 (日) 5 時 14 分 18 秒 (日本時間)
1000Dmitry DomanovJune 6, 2013 15:32:18 UTC 2013 年 6 月 7 日 (金) 0 時 32 分 18 秒 (日本時間)

26×10202-179

c198

name 名前Serge Batalov
date 日付October 16, 2008 17:25:00 UTC 2008 年 10 月 17 日 (金) 2 時 25 分 0 秒 (日本時間)
composite number 合成数
100672531228812788199320770175840063872849044249836697538285570025295909481455151742544715059952428356973954080160890192985370345202237563167173320540177826410354402158109307911195985798977864046393<198>
prime factors 素因数
129797485565316576138335938787553938939<39>
composite cofactor 合成数の残り
775612337868844507616271572284373761381973575256362313544270876107000293028543916178363902529711692579369109164356752919211141934170017178762799324790822743387<159>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1776639700
Step 1 took 25697ms
Step 2 took 8377ms
********** Factor found in step 2: 129797485565316576138335938787553938939
Found probable prime factor of 39 digits: 129797485565316576138335938787553938939
Composite cofactor 775612337868844507616271572284373761381973575256362313544270876107000293028543916178363902529711692579369109164356752919211141934170017178762799324790822743387 has 159 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 14, 2008 16:00:00 UTC 2008 年 10 月 15 日 (水) 1 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosApril 23, 2011 21:36:32 UTC 2011 年 4 月 24 日 (日) 6 時 36 分 32 秒 (日本時間)
403e61110110Ignacio SantosApril 23, 2011 21:36:32 UTC 2011 年 4 月 24 日 (日) 6 時 36 分 32 秒 (日本時間)
1000Dmitry DomanovJune 6, 2013 15:32:34 UTC 2013 年 6 月 7 日 (金) 0 時 32 分 34 秒 (日本時間)
4511e61032 / 422032Ignacio SantosApril 23, 2011 21:36:32 UTC 2011 年 4 月 24 日 (日) 6 時 36 分 32 秒 (日本時間)
1000Dmitry DomanovJune 6, 2013 15:32:34 UTC 2013 年 6 月 7 日 (金) 0 時 32 分 34 秒 (日本時間)

26×10205-179

c166

composite cofactor 合成数の残り
1215095726717624108313042811163489589367050988054670746983203695328134019542140905673514545375797126634777813069355225401443615953964939157714410100337386839565981403<166>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 14, 2008 16:00:00 UTC 2008 年 10 月 15 日 (水) 1 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosApril 23, 2011 22:58:10 UTC 2011 年 4 月 24 日 (日) 7 時 58 分 10 秒 (日本時間)
403e61110110Ignacio SantosApril 23, 2011 22:58:10 UTC 2011 年 4 月 24 日 (日) 7 時 58 分 10 秒 (日本時間)
1000Dmitry DomanovJune 6, 2013 15:32:52 UTC 2013 年 6 月 7 日 (金) 0 時 32 分 52 秒 (日本時間)
4511e61032 / 422032Ignacio SantosApril 23, 2011 22:58:10 UTC 2011 年 4 月 24 日 (日) 7 時 58 分 10 秒 (日本時間)
1000Dmitry DomanovJune 6, 2013 15:32:52 UTC 2013 年 6 月 7 日 (金) 0 時 32 分 52 秒 (日本時間)

26×10206-179

c194

name 名前Dmitry Domanov
date 日付May 10, 2013 08:38:09 UTC 2013 年 5 月 10 日 (金) 17 時 38 分 9 秒 (日本時間)
composite number 合成数
46472529106448995331934427626939172287170872074242604005388510949874081185891099698519820891891966339500455445721254881246943322292810178109514009951444332317334766370684595512546358931215929293<194>
prime factors 素因数
355639744382808086024392934891209<33>
130673047207081265460635647114111966357316898179108665720730511209685468384688647802347456320876940256415943315494598305325649348317654295398265653258184404571877<162>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1848711461
Step 1 took 27124ms
Step 2 took 10013ms
********** Factor found in step 2: 355639744382808086024392934891209
Found probable prime factor of 33 digits: 355639744382808086024392934891209

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 8, 2013 15:00:00 UTC 2013 年 5 月 9 日 (木) 0 時 0 分 0 秒 (日本時間)

26×10207-179

c176

name 名前Dmitry Domanov
date 日付May 10, 2013 08:42:44 UTC 2013 年 5 月 10 日 (金) 17 時 42 分 44 秒 (日本時間)
composite number 合成数
26257619060509078698423832223648022359169356697024918833232381470868472656858500027615699000764896770181663106088879014874992564746851574225121752549760724839914269923313480989<176>
prime factors 素因数
72210122201316243425321101503931<32>
composite cofactor 合成数の残り
363627954918908249590233505362365987734464926998343690040005604857186310205194619896831989280311241466149468789226533209652761752537853959917319<144>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=367222766
Step 1 took 22893ms
********** Factor found in step 1: 72210122201316243425321101503931
Found probable prime factor of 32 digits: 72210122201316243425321101503931

c144

name 名前Ignacio Santos
date 日付May 19, 2013 09:31:25 UTC 2013 年 5 月 19 日 (日) 18 時 31 分 25 秒 (日本時間)
composite number 合成数
363627954918908249590233505362365987734464926998343690040005604857186310205194619896831989280311241466149468789226533209652761752537853959917319<144>
prime factors 素因数
167604250340433002812365720433021631473<39>
composite cofactor 合成数の残り
2169562849273317675548000504171346168972921580622035825893609266613552805426020364554201569295942099997303<106>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2320971687
Step 1 took 19422ms
Step 2 took 13063ms
********** Factor found in step 2: 167604250340433002812365720433021631473
Found probable prime factor of 39 digits: 167604250340433002812365720433021631473
Composite cofactor 2169562849273317675548000504171346168972921580622035825893609266613552805426020364554201569295942099997303 has 106 digits
software ソフトウェア
GMP-ECM 7.0

c106

name 名前Dmitry Domanov
date 日付May 21, 2013 05:16:47 UTC 2013 年 5 月 21 日 (火) 14 時 16 分 47 秒 (日本時間)
composite number 合成数
2169562849273317675548000504171346168972921580622035825893609266613552805426020364554201569295942099997303<106>
prime factors 素因数
43510582515128436274679352982674484830622431951859351<53>
49862877577402470069117765515402250006170834663806753<53>
factorization results 素因数分解の結果
N=2169562849273317675548000504171346168972921580622035825893609266613552805426020364554201569295942099997303
  ( 106 digits)
Divisors found:
 r1=43510582515128436274679352982674484830622431951859351 (pp53)
 r2=49862877577402470069117765515402250006170834663806753 (pp53)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 13.01 hours.
Scaled time: 11.41 units (timescale=0.877).
Factorization parameters were as follows:
name: cc106
n: 2169562849273317675548000504171346168972921580622035825893609266613552805426020364554201569295942099997303
skew: 8227.92
# norm 9.05e+13
c5: 31680
c4: 189869708
c3: 2090478413240
c2: -56585678603724567
c1: -220427147386116133150
c0: 516446975066150477314485
# alpha -5.06
Y1: 126066061123
Y0: -146932194785776686062
# Murphy_E 1.73e-09
# M 1175844712261997312316008542701044469544151278200590674875005715146514814165203456741287930414430341638840
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: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 300418 x 300643
Polynomial selection time: 0.84 hours.
Total sieving time: 11.46 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.20 hours.
Time per square root: 0.38 hours.
Prototype def-par.txt line would be:
gnfs,105,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 13.01 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 KamadaMay 8, 2013 15:00:00 UTC 2013 年 5 月 9 日 (木) 0 時 0 分 0 秒 (日本時間)

26×10208-179

c138

name 名前Dmitry Domanov
date 日付May 8, 2013 17:09:32 UTC 2013 年 5 月 9 日 (木) 2 時 9 分 32 秒 (日本時間)
composite number 合成数
148931781524285660722633559133490402078974868864289217480463112157982030964889229665104634755820261834492553263540536188807603890733267229<138>
prime factors 素因数
45557454282911934261946470885599<32>
3269097974601891261004202407774318301780561921654158212796248651242113204539578928019048257688185189290371<106>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2413918756
Step 1 took 16394ms
Step 2 took 6993ms
********** Factor found in step 2: 45557454282911934261946470885599
Found probable prime factor of 32 digits: 45557454282911934261946470885599

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 8, 2013 15:00:00 UTC 2013 年 5 月 9 日 (木) 0 時 0 分 0 秒 (日本時間)

26×10209-179

c145

composite cofactor 合成数の残り
5468361252861951633631280728953861290277808670312196011950541794269249055437195274409932208559740334392507567607095891952913340762843574449916367<145>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 8, 2013 15:00:00 UTC 2013 年 5 月 9 日 (木) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 19, 2013 10:29:01 UTC 2013 年 5 月 19 日 (日) 19 時 29 分 1 秒 (日本時間)
403e61110110Ignacio SantosMay 19, 2013 10:29:01 UTC 2013 年 5 月 19 日 (日) 19 時 29 分 1 秒 (日本時間)
1000Dmitry DomanovJune 6, 2013 15:33:07 UTC 2013 年 6 月 7 日 (金) 0 時 33 分 7 秒 (日本時間)
4511e6408232Ignacio SantosMay 19, 2013 10:29:01 UTC 2013 年 5 月 19 日 (日) 19 時 29 分 1 秒 (日本時間)
1000Dmitry DomanovJune 6, 2013 15:33:07 UTC 2013 年 6 月 7 日 (金) 0 時 33 分 7 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:10:07 UTC 2013 年 11 月 9 日 (土) 2 時 10 分 7 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:24:18 UTC 2014 年 1 月 6 日 (月) 11 時 24 分 18 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:36:00 UTC 2014 年 5 月 25 日 (日) 2 時 36 分 0 秒 (日本時間)
5043e61000 / 6593Rich DickersonNovember 23, 2015 12:27:43 UTC 2015 年 11 月 23 日 (月) 21 時 27 分 43 秒 (日本時間)

26×10210-179

c211

name 名前Jo Yeong Uk
date 日付November 4, 2013 12:49:23 UTC 2013 年 11 月 4 日 (月) 21 時 49 分 23 秒 (日本時間)
composite number 合成数
2888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<211>
prime factors 素因数
23917624345686361355409787719127179446746273526474915559632885924637220921917955929663635867<92>
120784942816024764846877957324717894315733619020272627472295263089450992431254002988996351709341704196143940486898503061<120>
factorization results 素因数分解の結果
Number: 28887_210
N=2888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887
  ( 211 digits)
SNFS difficulty: 211 digits.
Divisors found:
 r1=23917624345686361355409787719127179446746273526474915559632885924637220921917955929663635867
 r2=120784942816024764846877957324717894315733619020272627472295263089450992431254002988996351709341704196143940486898503061
Version: 
Total time: 644.39 hours.
Scaled time: 3381.78 units (timescale=5.248).
Factorization parameters were as follows:
n: 2888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887
m: 1000000000000000000000000000000000000000000
deg: 5
c5: 26
c0: -17
skew: 0.92
# Murphy_E = 5.061e-12
type: snfs
lss: 1
rlim: 30000000
alim: 30000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 30000000/30000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved rational special-q in [15000000, 35700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 45712721
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 4984356 x 4984602
Total sieving time: 575.50 hours.
Total relation processing time: 13.33 hours.
Matrix solve time: 55.17 hours.
Time per square root: 0.40 hours.
Prototype def-par.txt line would be:
snfs,211,5,0,0,0,0,0,0,0,0,30000000,30000000,29,29,57,57,2.6,2.6,100000
total time: 644.39 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49370232k/51380224k available (5223k kernel code, 1085960k absent, 924032k reserved, 7119k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.52 BogoMIPS (lpj=3400264)
Total of 12 processors activated (81606.33 BogoMIPS).
x86info v1.25.  Dave Jones 2001-2009
Feedback to <davej@redhat.com>.

Found 12 CPUs
--------------------------------------------------------------------------
CPU #1
EFamily: 0 EModel: 3 Family: 6 Model: 62 Stepping: 4
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz
Type: 0 (Original OEM)     Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x0 Package: 0  Core: 0   SMT ID 0
3.40GHz processor (estimate).

--------------------------------------------------------------------------
CPU #2
EFamily: 0 EModel: 3 Family: 6 Model: 62 Stepping: 4
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x2 Package: 0  Core: 0   SMT ID 2
3.40GHz processor (estimate).

--------------------------------------------------------------------------
CPU #3
EFamily: 0 EModel: 3 Family: 6 Model: 62 Stepping: 4
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x4 Package: 0  Core: 0   SMT ID 4
3.40GHz processor (estimate).

--------------------------------------------------------------------------
CPU #4
EFamily: 0 EModel: 3 Family: 6 Model: 62 Stepping: 4
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x6 Package: 0  Core: 0   SMT ID 6
3.40GHz processor (estimate).

--------------------------------------------------------------------------
CPU #5
EFamily: 0 EModel: 3 Family: 6 Model: 62 Stepping: 4
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x8 Package: 0  Core: 0   SMT ID 8
3.40GHz processor (estimate).

--------------------------------------------------------------------------
CPU #6
EFamily: 0 EModel: 3 Family: 6 Model: 62 Stepping: 4
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0xa Package: 0  Core: 0   SMT ID 10
3.40GHz processor (estimate).

--------------------------------------------------------------------------
CPU #7
EFamily: 0 EModel: 3 Family: 6 Model: 62 Stepping: 4
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x1 Package: 0  Core: 0   SMT ID 1
3.40GHz processor (estimate).

--------------------------------------------------------------------------
CPU #8
EFamily: 0 EModel: 3 Family: 6 Model: 62 Stepping: 4
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x3 Package: 0  Core: 0   SMT ID 3
3.40GHz processor (estimate).

--------------------------------------------------------------------------
CPU #9
EFamily: 0 EModel: 3 Family: 6 Model: 62 Stepping: 4
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x5 Package: 0  Core: 0   SMT ID 5
3.40GHz processor (estimate).

--------------------------------------------------------------------------
CPU #10
EFamily: 0 EModel: 3 Family: 6 Model: 62 Stepping: 4
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz
Type: 0 (Original OEM)        Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x7 Package: 0  Core: 0   SMT ID 7
3.40GHz processor (estimate).

--------------------------------------------------------------------------
CPU #11
EFamily: 0 EModel: 3 Family: 6 Model: 62 Stepping: 4
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz
Type: 0 (Original OEM)        Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x9 Package: 0  Core: 0   SMT ID 9
3.40GHz processor (estimate).

--------------------------------------------------------------------------
CPU #12
EFamily: 0 EModel: 3 Family: 6 Model: 62 Stepping: 4
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz
Type: 0 (Original OEM)        Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0xb Package: 0  Core: 0   SMT ID 11
3.40GHz processor (estimate).

--------------------------------------------------------------------------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7 4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 8, 2013 15:00:00 UTC 2013 年 5 月 9 日 (木) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 20, 2013 16:45:51 UTC 2013 年 5 月 21 日 (火) 1 時 45 分 51 秒 (日本時間)
403e61110110Ignacio SantosMay 20, 2013 16:45:51 UTC 2013 年 5 月 21 日 (火) 1 時 45 分 51 秒 (日本時間)
1000Dmitry DomanovJune 14, 2013 14:08:46 UTC 2013 年 6 月 14 日 (金) 23 時 8 分 46 秒 (日本時間)
4511e6421632Ignacio SantosMay 20, 2013 16:45:51 UTC 2013 年 5 月 21 日 (火) 1 時 45 分 51 秒 (日本時間)
1500Dmitry DomanovJune 14, 2013 14:08:46 UTC 2013 年 6 月 14 日 (金) 23 時 8 分 46 秒 (日本時間)
2684Jo Yeong UkSeptember 22, 2013 06:00:37 UTC 2013 年 9 月 22 日 (日) 15 時 0 分 37 秒 (日本時間)

26×10211-179

c188

composite cofactor 合成数の残り
15765633339632674860253925733214006879455511398506384126737269719413956410160687492082095481717458406160429283110000557310682782629824714448507676526521221490083429757699492845245268372741<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 8, 2013 15:00:00 UTC 2013 年 5 月 9 日 (木) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 14, 2013 14:09:12 UTC 2013 年 6 月 14 日 (金) 23 時 9 分 12 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 14, 2013 14:09:12 UTC 2013 年 6 月 14 日 (金) 23 時 9 分 12 秒 (日本時間)

26×10212-179

c161

composite cofactor 合成数の残り
12824983885664484379907168963250904499862820335352162501112180718245713278329872957140238867417423135656330426954255134081566773695995143773784267383706987026363<161>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 8, 2013 15:00:00 UTC 2013 年 5 月 9 日 (木) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 6, 2013 15:33:24 UTC 2013 年 6 月 7 日 (金) 0 時 33 分 24 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovJune 6, 2013 15:33:24 UTC 2013 年 6 月 7 日 (金) 0 時 33 分 24 秒 (日本時間)

26×10213-179

c206

composite cofactor 合成数の残り
35047684200878837665983995741911263747010976787761039179041859049302692151331419667768524070318827044271063281105126058519762648401549869524413857575569139310038375097859031735714439567842265341468973834689<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 8, 2013 15:00:00 UTC 2013 年 5 月 9 日 (木) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 14, 2013 14:09:30 UTC 2013 年 6 月 14 日 (金) 23 時 9 分 30 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 14, 2013 14:09:30 UTC 2013 年 6 月 14 日 (金) 23 時 9 分 30 秒 (日本時間)

26×10215-179

c188

composite cofactor 合成数の残り
82222964661803976981636417755831012523359374652700888993053602408884117323426973019467372559169953283545745940400426767124455708387828727853787669791758618340516721252562401524468833509569<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 8, 2013 15:00:00 UTC 2013 年 5 月 9 日 (木) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 14, 2013 14:09:44 UTC 2013 年 6 月 14 日 (金) 23 時 9 分 44 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 14, 2013 14:09:44 UTC 2013 年 6 月 14 日 (金) 23 時 9 分 44 秒 (日本時間)

26×10216-179

c193

composite cofactor 合成数の残り
1001478438517100828412402181776079887465416362430499276393838712419503083743981042488993020781233775265183239537090225264961866569504471812057520793641986248586460695468509336171723782208773173<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 8, 2013 15:00:00 UTC 2013 年 5 月 9 日 (木) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 14, 2013 14:09:58 UTC 2013 年 6 月 14 日 (金) 23 時 9 分 58 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 14, 2013 14:09:58 UTC 2013 年 6 月 14 日 (金) 23 時 9 分 58 秒 (日本時間)

26×10218-179

c185

composite cofactor 合成数の残り
31703672839549369193824610398577954958339900282048214991134921456093250978921681448669527352805116360486046880044982974611495343514292628991825968454419615057590778165283902323264792659<185>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 8, 2013 15:00:00 UTC 2013 年 5 月 9 日 (木) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 14, 2013 14:10:19 UTC 2013 年 6 月 14 日 (金) 23 時 10 分 19 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 14, 2013 14:10:19 UTC 2013 年 6 月 14 日 (金) 23 時 10 分 19 秒 (日本時間)

26×10219-179

c191

composite cofactor 合成数の残り
80632584827943483225081244516906988639938161042738354227514469324488891824793290560135301212863085729921452438113304722826081471895787887331150825992387281096418640589196460430660682460476589<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 8, 2013 15:00:00 UTC 2013 年 5 月 9 日 (木) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 14, 2013 14:10:32 UTC 2013 年 6 月 14 日 (金) 23 時 10 分 32 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 14, 2013 14:10:32 UTC 2013 年 6 月 14 日 (金) 23 時 10 分 32 秒 (日本時間)

26×10221-179

c195

name 名前Dmitry Domanov
date 日付May 10, 2013 08:40:43 UTC 2013 年 5 月 10 日 (金) 17 時 40 分 43 秒 (日本時間)
composite number 合成数
751027059250675693249693560034256998813965397852070774164620408266835467783609209625236597254439744651844914062502935966859080680226626549963944008792717224401827667958233662032188868434683977167<195>
prime factors 素因数
881865875694927767372563770123137<33>
composite cofactor 合成数の残り
851634108938449969284471709540425518952078737942296072127215652764398631071522522862563883132518822615596257779403674223979847166166528317992091526910690877434191<162>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2077778744
Step 1 took 26728ms
Step 2 took 9962ms
********** Factor found in step 2: 881865875694927767372563770123137
Found probable prime factor of 33 digits: 881865875694927767372563770123137

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 8, 2013 15:00:00 UTC 2013 年 5 月 9 日 (木) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 6, 2013 15:33:41 UTC 2013 年 6 月 7 日 (金) 0 時 33 分 41 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovJune 6, 2013 15:33:41 UTC 2013 年 6 月 7 日 (金) 0 時 33 分 41 秒 (日本時間)

26×10223-179

c222

name 名前matsui
date 日付October 26, 2013 12:02:37 UTC 2013 年 10 月 26 日 (土) 21 時 2 分 37 秒 (日本時間)
composite number 合成数
310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859<222>
prime factors 素因数
40263828018792759221288876084859814033535480192985952449237609947750135255830169183675969193750143327<101>
7714944880899928568166601461007452418733682738854462923246328211902396465667021774602334160205897940379024134727063929917<121>
factorization results 素因数分解の結果
N=310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859
  ( 222 digits)
SNFS difficulty: 224 digits.
Divisors found:
 r1=40263828018792759221288876084859814033535480192985952449237609947750135255830169183675969193750143327 (pp101)
 r2=7714944880899928568166601461007452418733682738854462923246328211902396465667021774602334160205897940379024134727063929917 (pp121)
Version: Msieve v. 1.52 (SVN unknown)
Total time:
Scaled time: 114.64 units (timescale=1.826).
Factorization parameters were as follows:
n: 310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859
m: 10000000000000000000000000000000000000
deg: 6
c6: 260
c0: -17
skew: 0.63
# Murphy_E = 1.681e-12
type: snfs
lss: 1
rlim: 38000000
alim: 38000000
lpbr: 29
lpba: 29
mfbr: 59
mfba: 59
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 38000000/38000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 59/59
Sieved rational special-q in [19000000, 74700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 7165443 x 7165670
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,224.000,6,0,0,0,0,0,0,0,0,38000000,38000000,29,29,59,59,2.6,2.6,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 8, 2013 15:00:00 UTC 2013 年 5 月 9 日 (木) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 21, 2013 22:17:31 UTC 2013 年 5 月 22 日 (水) 7 時 17 分 31 秒 (日本時間)
403e61110110Ignacio SantosMay 21, 2013 22:17:31 UTC 2013 年 5 月 22 日 (水) 7 時 17 分 31 秒 (日本時間)
1000Dmitry DomanovJune 14, 2013 14:11:09 UTC 2013 年 6 月 14 日 (金) 23 時 11 分 9 秒 (日本時間)
4511e61532 / 421632Ignacio SantosMay 21, 2013 22:17:31 UTC 2013 年 5 月 22 日 (水) 7 時 17 分 31 秒 (日本時間)
1500Dmitry DomanovJune 14, 2013 14:11:09 UTC 2013 年 6 月 14 日 (金) 23 時 11 分 9 秒 (日本時間)

26×10224-179

c192

composite cofactor 合成数の残り
189662398519203316150209011012031640565203750356752681969941008477388862734061806649145927003962547578774679732236512671842839992452068385158904185004332320090863952319766268032679816118524037<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 8, 2013 15:00:00 UTC 2013 年 5 月 9 日 (木) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 14, 2013 14:11:26 UTC 2013 年 6 月 14 日 (金) 23 時 11 分 26 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 14, 2013 14:11:26 UTC 2013 年 6 月 14 日 (金) 23 時 11 分 26 秒 (日本時間)

26×10226-179

c155

composite cofactor 合成数の残り
19527798988533631516793317849880524482927420846320937304646407691165741205693450715279157594651383631685760305242308020309771724421415154945628807251661401<155>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 8, 2013 15:00:00 UTC 2013 年 5 月 9 日 (木) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 19, 2013 15:26:59 UTC 2013 年 5 月 20 日 (月) 0 時 26 分 59 秒 (日本時間)
403e61110110Ignacio SantosMay 19, 2013 15:26:59 UTC 2013 年 5 月 20 日 (月) 0 時 26 分 59 秒 (日本時間)
1000Dmitry DomanovJune 6, 2013 15:33:59 UTC 2013 年 6 月 7 日 (金) 0 時 33 分 59 秒 (日本時間)
4511e6424032Ignacio SantosMay 19, 2013 15:26:59 UTC 2013 年 5 月 20 日 (月) 0 時 26 分 59 秒 (日本時間)
1000Dmitry DomanovJune 6, 2013 15:33:59 UTC 2013 年 6 月 7 日 (金) 0 時 33 分 59 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:11:55 UTC 2013 年 11 月 9 日 (土) 2 時 11 分 55 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:25:52 UTC 2014 年 1 月 6 日 (月) 11 時 25 分 52 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:45 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 45 秒 (日本時間)
1058Ignacio SantosJanuary 6, 2016 23:18:15 UTC 2016 年 1 月 7 日 (木) 8 時 18 分 15 秒 (日本時間)

26×10227-179

c226

name 名前Dmitry Domanov
date 日付May 10, 2013 08:44:11 UTC 2013 年 5 月 10 日 (金) 17 時 44 分 11 秒 (日本時間)
composite number 合成数
7046070460704607046070460704607046070460704607046070460704607046070460704607046070460704607046070460704607046070460704607046070460704607046070460704607046070460704607046070460704607046070460704607046070460704607046070460704607<226>
prime factors 素因数
171170449190226164276767360574183<33>
composite cofactor 合成数の残り
41164058948481966102910641567464094606509885108239479598013265128630438311536178000919908086650817766511698226582901759185151263493171958489930535012051285003422988563156726644386010348414845129<194>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2825448489
Step 1 took 30422ms
Step 2 took 11416ms
********** Factor found in step 2: 171170449190226164276767360574183
Found probable prime factor of 33 digits: 171170449190226164276767360574183

c194

name 名前Dmitry Domanov
date 日付June 17, 2013 05:31:38 UTC 2013 年 6 月 17 日 (月) 14 時 31 分 38 秒 (日本時間)
composite number 合成数
41164058948481966102910641567464094606509885108239479598013265128630438311536178000919908086650817766511698226582901759185151263493171958489930535012051285003422988563156726644386010348414845129<194>
prime factors 素因数
96394309037948028379347047503916006330249<41>
427038269782884233571532629979381352832240790918436546156182993571318741189860388406762137047462360654921341179853471476977626176912681764465131892365121<153>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1322315109
Step 1 took 109932ms
Step 2 took 32287ms
********** Factor found in step 2: 96394309037948028379347047503916006330249
Found probable prime factor of 41 digits: 96394309037948028379347047503916006330249

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 8, 2013 15:00:00 UTC 2013 年 5 月 9 日 (木) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 14, 2013 14:11:47 UTC 2013 年 6 月 14 日 (金) 23 時 11 分 47 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 14, 2013 14:11:47 UTC 2013 年 6 月 14 日 (金) 23 時 11 分 47 秒 (日本時間)

26×10230-179

c221

composite cofactor 合成数の残り
24096334410372354650002845048179749061320437173414127320926732838686955712659249989114580559189254749481402261247978335510957581794634983490079194883943097103841927778020148440489276340452268894421331458735198114275297103<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 8, 2013 15:00:00 UTC 2013 年 5 月 9 日 (木) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 14, 2013 14:12:03 UTC 2013 年 6 月 14 日 (金) 23 時 12 分 3 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 14, 2013 14:12:03 UTC 2013 年 6 月 14 日 (金) 23 時 12 分 3 秒 (日本時間)

26×10231-179

c214

composite cofactor 合成数の残り
2648754531890925744289472505627766883929793361843739243117119534608459881234378813589286838969120587380933702797403158140854202238285868393621848157100790178139518012616285397700505475736965258643893204378384701973<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 8, 2013 15:00:00 UTC 2013 年 5 月 9 日 (木) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 14, 2013 14:12:25 UTC 2013 年 6 月 14 日 (金) 23 時 12 分 25 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 14, 2013 14:12:25 UTC 2013 年 6 月 14 日 (金) 23 時 12 分 25 秒 (日本時間)

26×10232-179

c227

name 名前Dmitry Domanov
date 日付May 10, 2013 08:42:11 UTC 2013 年 5 月 10 日 (金) 17 時 42 分 11 秒 (日本時間)
composite number 合成数
11959316429391528838994620745467430572603331138798768539987791377820426540059823260622069363759306245573615503285063232355765009183605083500637270574888480524230196050454148141800510966394182841297157137092358074997149312939571<227>
prime factors 素因数
533702134158195875018619524965993<33>
22408222984258557220585324832934669743874518639026109662537045297306328683671375922258627350973512800801633025697555555996433295684925399983053196387963555394603802441310684860549943560247180347<194>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2380210641
Step 1 took 30589ms
Step 2 took 11423ms
********** Factor found in step 2: 533702134158195875018619524965993
Found probable prime factor of 33 digits: 533702134158195875018619524965993

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 8, 2013 15:00:00 UTC 2013 年 5 月 9 日 (木) 0 時 0 分 0 秒 (日本時間)

26×10233-179

c220

name 名前Dmitry Domanov
date 日付May 8, 2013 16:39:51 UTC 2013 年 5 月 9 日 (木) 1 時 39 分 51 秒 (日本時間)
composite number 合成数
1067712383464939759446763210118456787881247494793776888632303824024851588892652340306458182567179978133947744115637353326736514401500826226938699092170064329031617918302185254656847273481232771217452520911390221754838301<220>
prime factors 素因数
1458188309033643675506240019400447561<37>
732218450011112549329119131472487464700996108071642143999651677432370944661405118122237150930243439740333603349258790156504015126106670529850725189521677411299381341703689637291020341<183>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1584514277
Step 1 took 30407ms
Step 2 took 11077ms
********** Factor found in step 2: 1458188309033643675506240019400447561
Found probable prime factor of 37 digits: 1458188309033643675506240019400447561

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 8, 2013 15:00:00 UTC 2013 年 5 月 9 日 (木) 0 時 0 分 0 秒 (日本時間)

26×10234-179

c174

name 名前Dmitry Domanov
date 日付May 10, 2013 08:39:58 UTC 2013 年 5 月 10 日 (金) 17 時 39 分 58 秒 (日本時間)
composite number 合成数
146139902098025619797788145304378140623610840628612171482511147441265923108411007162922989369673786960812984126519205283071284613040818597785187311731907511797234957566106891<174>
prime factors 素因数
81905251419833619330254697604752251<35>
composite cofactor 合成数の残り
1784255582696830276534593887819916505381468144908203450746913028232999073872509342847556961671398215684135181675801437520697873077488414641<139>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2937262404
Step 1 took 20037ms
Step 2 took 8188ms
********** Factor found in step 2: 81905251419833619330254697604752251
Found probable prime factor of 35 digits: 81905251419833619330254697604752251

c139

name 名前Erik Branger
date 日付November 22, 2013 17:52:56 UTC 2013 年 11 月 23 日 (土) 2 時 52 分 56 秒 (日本時間)
composite number 合成数
1784255582696830276534593887819916505381468144908203450746913028232999073872509342847556961671398215684135181675801437520697873077488414641<139>
prime factors 素因数
8393665944821433862444552283858331903378361914997<49>
212571669450062725661880620799653260066108653855107765172137873301246418292229829184693453<90>
factorization results 素因数分解の結果
Number: 28887_234
N = 1784255582696830276534593887819916505381468144908203450746913028232999073872509342847556961671398215684135181675801437520697873077488414641 (139 digits)
Divisors found:
r1=8393665944821433862444552283858331903378361914997 (pp49)
r2=212571669450062725661880620799653260066108653855107765172137873301246418292229829184693453 (pp90)
Version: Msieve v. 1.51 (SVN 845)
Total time: 175.83 hours.
Factorization parameters were as follows:
# Murphy_E = 2.485e-11, selected by Erik Branger
n: 1784255582696830276534593887819916505381468144908203450746913028232999073872509342847556961671398215684135181675801437520697873077488414641
Y0: -732517020307140868882717803
Y1: 1264172398136507
c0: -885590698985992766201263513866560
c1: 6479618980072577013555015912
c2: 15924836113536671070760
c3: -25739013137122671
c4: -21439933226
c5: 8460
skew: 884717.1
type: gnfs
# selected mechanically
rlim: 16400000
alim: 16400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 16400000/16400000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23420592
Relations: 4091962 relations
Pruned matrix : 2507299 x 2507524
Polynomial selection time: 0.00 hours.
Total sieving time: 170.65 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 4.56 hours.
time per square root: 0.48 hours.
Prototype def-par.txt line would be: gnfs,138,5,65,2000,1e-05,0.28,250,20,50000,3600,16400000,16400000,28,28,55,55,2.6,2.6,100000
total time: 175.83 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 8, 2013 15:00:00 UTC 2013 年 5 月 9 日 (木) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 18, 2013 16:49:08 UTC 2013 年 5 月 19 日 (日) 1 時 49 分 8 秒 (日本時間)
403e61110110Ignacio SantosMay 18, 2013 16:49:08 UTC 2013 年 5 月 19 日 (日) 1 時 49 分 8 秒 (日本時間)
1000Dmitry DomanovJune 14, 2013 14:12:45 UTC 2013 年 6 月 14 日 (金) 23 時 12 分 45 秒 (日本時間)
4511e63232 / 421632Ignacio SantosMay 18, 2013 16:49:08 UTC 2013 年 5 月 19 日 (日) 1 時 49 分 8 秒 (日本時間)
1500Dmitry DomanovAugust 15, 2013 09:29:44 UTC 2013 年 8 月 15 日 (木) 18 時 29 分 44 秒 (日本時間)
850Serge BatalovNovember 8, 2013 01:46:00 UTC 2013 年 11 月 8 日 (金) 10 時 46 分 0 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:09:07 UTC 2013 年 11 月 9 日 (土) 2 時 9 分 7 秒 (日本時間)

26×10236-179

c221

composite cofactor 合成数の残り
74806382043478423435808369731981724377709478131578313162508505851955659628886150027973616118133062540569741584585888975216971294133994999132988181176488627119025163771902109920510942725786902856504974080673613787782389447<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 8, 2013 15:00:00 UTC 2013 年 5 月 9 日 (木) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 14, 2013 14:13:00 UTC 2013 年 6 月 14 日 (金) 23 時 13 分 0 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 14, 2013 14:13:00 UTC 2013 年 6 月 14 日 (金) 23 時 13 分 0 秒 (日本時間)

26×10238-179

c237

name 名前Youcef Lemsafer
date 日付May 9, 2013 21:23:44 UTC 2013 年 5 月 10 日 (金) 6 時 23 分 44 秒 (日本時間)
composite number 合成数
310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859<237>
prime factors 素因数
17914895525348997871953180891109<32>
composite cofactor 合成数の残り
17339381824442367395580991512276869860053055786295287207142360858629021145621463481159379847188501595579526513899642127921292735853530819413715305796399360422060935906134898350448184711967380221179153899751<206>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with MPIR 2.6.0] [ECM]
Input number is (10^238*26-17)/837 (237 digits)
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=250000, B2=128992510, polynomial Dickson(3), sigma=1225550637
dF=2048, k=3, d=19110, d2=11, i0=3
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
4911    70940   1226976 2.5e+007        5.8e+008        1.6e+010        2.7e+013        4e+018  5.4e+023        Inf
Step 1 took 1919ms
Using 28 small primes for NTT
Estimated memory usage: 9715K
Initializing tables of differences for F took 0ms
Computing roots of F took 47ms
Building F from its roots took 93ms
Computing 1/F took 94ms
Initializing table of differences for G took 16ms
Computing roots of G took 31ms
Building G from its roots took 93ms
Computing roots of G took 31ms
Building G from its roots took 94ms
Computing G * H took 47ms
Reducing  G * H mod F took 62ms
Computing roots of G took 31ms
Building G from its roots took 94ms
Computing G * H took 62ms
Reducing  G * H mod F took 47ms
Computing polyeval(F,G) took 234ms
Computing product of all F(g_i) took 0ms
Step 2 took 1092ms
********** Factor found in step 2: 17914895525348997871953180891109
Found probable prime factor of 32 digits: 17914895525348997871953180891109
Composite cofactor ((10^238*26-17)/837)/17914895525348997871953180891109 has 206 digits

c206

name 名前Youcef Lemsafer
date 日付October 24, 2013 19:45:51 UTC 2013 年 10 月 25 日 (金) 4 時 45 分 51 秒 (日本時間)
composite number 合成数
17339381824442367395580991512276869860053055786295287207142360858629021145621463481159379847188501595579526513899642127921292735853530819413715305796399360422060935906134898350448184711967380221179153899751<206>
prime factors 素因数
77799771931273889262077139536983524215512156277756839<53>
222871885019913493394674438897875118627492966147616203412002063359479369172645860685447727562232168450461348576023634337126531163771724817976675857903809<153>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with MPIR 2.6.0] [ECM]
Input number is (26*10^238-17)/(9*3*31*17914895525348997871953180891109) (206 digits)
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=4255384633
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 648620ms
********** Factor found in step 1: 77799771931273889262077139536983524215512156277756839
Found probable prime factor of 53 digits: 77799771931273889262077139536983524215512156277756839
Probable prime cofactor ((26*10^238-17)/(9*3*31*17914895525348997871953180891109))/77799771931273889262077139536983524215512156277756839 has 153 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61038118Makoto KamadaMay 8, 2013 15:00:00 UTC 2013 年 5 月 9 日 (木) 0 時 0 分 0 秒 (日本時間)
920Youcef LemsaferMay 11, 2013 17:45:29 UTC 2013 年 5 月 12 日 (日) 2 時 45 分 29 秒 (日本時間)
403e62068660Youcef LemsaferMay 11, 2013 17:45:29 UTC 2013 年 5 月 12 日 (日) 2 時 45 分 29 秒 (日本時間)
1408Youcef LemsaferMay 23, 2013 17:18:17 UTC 2013 年 5 月 24 日 (金) 2 時 18 分 17 秒 (日本時間)
4511e64500Youcef LemsaferMay 28, 2013 06:29:17 UTC 2013 年 5 月 28 日 (火) 15 時 29 分 17 秒 (日本時間)
5043e634401000Youcef LemsaferMay 28, 2013 06:29:17 UTC 2013 年 5 月 28 日 (火) 15 時 29 分 17 秒 (日本時間)
440Youcef LemsaferMay 29, 2013 08:53:05 UTC 2013 年 5 月 29 日 (水) 17 時 53 分 5 秒 (日本時間)
1000Youcef LemsaferJuly 1, 2013 09:43:11 UTC 2013 年 7 月 1 日 (月) 18 時 43 分 11 秒 (日本時間)
1000Youcef LemsaferJuly 8, 2013 16:02:24 UTC 2013 年 7 月 9 日 (火) 1 時 2 分 24 秒 (日本時間)
5511e72022 / 162431024Youcef LemsaferJuly 8, 2013 16:02:24 UTC 2013 年 7 月 9 日 (火) 1 時 2 分 24 秒 (日本時間)
998Youcef LemsaferOctober 24, 2013 19:34:01 UTC 2013 年 10 月 25 日 (金) 4 時 34 分 1 秒 (日本時間)

26×10240-179

c213

composite cofactor 合成数の残り
740119773182529698842285598811759848496818110178449714021001259371659989972380680299220412852382560387706022207351400699824314177424279618317732228887971415096912953835767450635345593359135556969033247430377459371<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 8, 2013 15:00:00 UTC 2013 年 5 月 9 日 (木) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 14, 2013 14:13:22 UTC 2013 年 6 月 14 日 (金) 23 時 13 分 22 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 14, 2013 14:13:22 UTC 2013 年 6 月 14 日 (金) 23 時 13 分 22 秒 (日本時間)

26×10241-179

c175

composite cofactor 合成数の残り
4280854333158383909402266227048703161333611911475043914733823268530873520055698084964609588224244772720591414983902697395436903019905769301572740184077545219305548757811599981<175>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 8, 2013 15:00:00 UTC 2013 年 5 月 9 日 (木) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 14, 2013 14:13:39 UTC 2013 年 6 月 14 日 (金) 23 時 13 分 39 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 14, 2013 14:13:39 UTC 2013 年 6 月 14 日 (金) 23 時 13 分 39 秒 (日本時間)

26×10242-179

c224

composite cofactor 合成数の残り
62278151843472083513806827039035431434759424862476731853681487850268473432357274166833477475038741991228599462136779070015776912891318958303370014943267405898223993638265400549776207070522028299457933767281925820601046207871<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 8, 2013 15:00:00 UTC 2013 年 5 月 9 日 (木) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 14, 2013 14:13:53 UTC 2013 年 6 月 14 日 (金) 23 時 13 分 53 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 14, 2013 14:13:53 UTC 2013 年 6 月 14 日 (金) 23 時 13 分 53 秒 (日本時間)

26×10243-179

c162

composite cofactor 合成数の残り
535847809763143978355192340386397559158261690549041305186065206160895995101772667431578875419310133033903838245571040001763373837995436297060368826983389317324277<162>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 8, 2013 15:00:00 UTC 2013 年 5 月 9 日 (木) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 19, 2013 18:47:49 UTC 2013 年 5 月 20 日 (月) 3 時 47 分 49 秒 (日本時間)
403e61110110Ignacio SantosMay 19, 2013 18:47:49 UTC 2013 年 5 月 20 日 (月) 3 時 47 分 49 秒 (日本時間)
1000Dmitry DomanovJune 14, 2013 14:14:18 UTC 2013 年 6 月 14 日 (金) 23 時 14 分 18 秒 (日本時間)
4511e6278232Ignacio SantosMay 19, 2013 18:47:49 UTC 2013 年 5 月 20 日 (月) 3 時 47 分 49 秒 (日本時間)
1500Dmitry DomanovJune 21, 2013 11:01:50 UTC 2013 年 6 月 21 日 (金) 20 時 1 分 50 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:13:02 UTC 2013 年 11 月 9 日 (土) 2 時 13 分 2 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:26:43 UTC 2014 年 1 月 6 日 (月) 11 時 26 分 43 秒 (日本時間)
5043e6600 / 6885Erik BrangerMarch 19, 2014 17:27:49 UTC 2014 年 3 月 20 日 (木) 2 時 27 分 49 秒 (日本時間)

26×10244-179

c217

composite cofactor 合成数の残り
2238197371361675944214564282141368295886665583880549597336891397847701696874687892494014339513936717193584329398332508250451328552862934073023223244558607086379896891838018612034960228999552934226891065335923910498599<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 8, 2013 15:00:00 UTC 2013 年 5 月 9 日 (木) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 14, 2013 14:14:30 UTC 2013 年 6 月 14 日 (金) 23 時 14 分 30 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 14, 2013 14:14:30 UTC 2013 年 6 月 14 日 (金) 23 時 14 分 30 秒 (日本時間)

26×10245-179

c225

name 名前Youcef Lemsafer
date 日付May 9, 2013 18:04:31 UTC 2013 年 5 月 10 日 (金) 3 時 4 分 31 秒 (日本時間)
composite number 合成数
426599482213371244703891055066357851541475926554648706350351032200083710330104843290324311702067936190662893661712698893169728399974916554962033378988718479715768621261763548329750828229338763582691259678850703407140948146369<225>
prime factors 素因数
717269346372110529889834619227<30>
594754933235438547994296700191439590607322804005208610107213036478886644781828192903370744174179313347905085970207485282456085972652441293523975735734434356927872614518675501444687794540196560147<195>
factorization results 素因数分解の結果
GMP-ECM 6.4.2 [configured with GMP 5.0.5, --enable-asm-redc] [ECM]
Input number is (26*10^245-17)/(9*109*1831*10651*318570302287) (225 digits)
Using MODMULN [mulredc:0, sqrredc:1]
Using B1=250000, B2=128992510, polynomial Dickson(3), sigma=3327193573
dF=2048, k=3, d=19110, d2=11, i0=3
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
4911    70940   1226976 2.5e+007        5.8e+008        1.6e+010        2.7e+013        4e+018  5.4e+023        Inf
Step 1 took 2106ms
Using 27 small primes for NTT
Estimated memory usage: 9134K
Initializing tables of differences for F took 0ms
Computing roots of F took 31ms
Building F from its roots took 109ms
Computing 1/F took 62ms
Initializing table of differences for G took 0ms
Computing roots of G took 47ms
Building G from its roots took 125ms
Computing roots of G took 31ms
Building G from its roots took 109ms
Computing G * H took 31ms
Reducing  G * H mod F took 47ms
Computing roots of G took 31ms
Building G from its roots took 125ms
Computing G * H took 31ms
Reducing  G * H mod F took 47ms
Computing polyeval(F,G) took 218ms
Computing product of all F(g_i) took 16ms
Step 2 took 1076ms
********** Factor found in step 2: 717269346372110529889834619227
Found probable prime factor of 30 digits: 717269346372110529889834619227
Probable prime cofactor ((26*10^245-17)/(9*109*1831*10651*318570302287))/717269346372110529889834619227 has 195 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 8, 2013 15:00:00 UTC 2013 年 5 月 9 日 (木) 0 時 0 分 0 秒 (日本時間)

26×10246-179

c210

composite cofactor 合成数の残り
881049107121719365981770608433291103846777569010730175120669889558632667159938628355105061758530685244231825602064639619474204555092802821872613651844910360480650234755093532474541672136009864249496531963246297<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 8, 2013 15:00:00 UTC 2013 年 5 月 9 日 (木) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 14, 2013 14:14:44 UTC 2013 年 6 月 14 日 (金) 23 時 14 分 44 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 14, 2013 14:14:44 UTC 2013 年 6 月 14 日 (金) 23 時 14 分 44 秒 (日本時間)

26×10247-179

c246

composite cofactor 合成数の残り
234869015356820234869015356820234869015356820234869015356820234869015356820234869015356820234869015356820234869015356820234869015356820234869015356820234869015356820234869015356820234869015356820234869015356820234869015356820234869015356820234869<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaMay 8, 2013 15:00:00 UTC 2013 年 5 月 9 日 (木) 0 時 0 分 0 秒 (日本時間)
800Serge BatalovMay 11, 2013 20:29:31 UTC 2013 年 5 月 12 日 (日) 5 時 29 分 31 秒 (日本時間)
403e61300300Serge BatalovMay 11, 2013 20:29:31 UTC 2013 年 5 月 12 日 (日) 5 時 29 分 31 秒 (日本時間)
1000Dmitry DomanovJune 14, 2013 14:15:02 UTC 2013 年 6 月 14 日 (金) 23 時 15 分 2 秒 (日本時間)
4511e61500Dmitry DomanovJune 14, 2013 15:51:16 UTC 2013 年 6 月 15 日 (土) 0 時 51 分 16 秒 (日本時間)
5043e6800 / 7162Dmitry DomanovJune 24, 2013 07:12:54 UTC 2013 年 6 月 24 日 (月) 16 時 12 分 54 秒 (日本時間)

26×10248-179

c235

composite cofactor 合成数の残り
3394124530399892253802537454845802705641635643356913523852000092125096713737047217176318136792842921353363309634506090707467536341228396380125916861856375993823507599392692520691559424469293083431961047301131819406318537485341558589651<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 8, 2013 15:00:00 UTC 2013 年 5 月 9 日 (木) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 14, 2013 14:15:12 UTC 2013 年 6 月 14 日 (金) 23 時 15 分 12 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 14, 2013 15:51:03 UTC 2013 年 6 月 15 日 (土) 0 時 51 分 3 秒 (日本時間)

26×10250-179

c243

composite cofactor 合成数の残り
100875365029972288268524560273915010772233862870763616491697356667638092552083567880681470931159842300595172141732779110265693299939226588785825575989633820907930903412078920731086339776251821387646805669497675200924686914555390961490240054887<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 8, 2013 15:00:00 UTC 2013 年 5 月 9 日 (木) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 14, 2013 14:15:23 UTC 2013 年 6 月 14 日 (金) 23 時 15 分 23 秒 (日本時間)
4511e61500Dmitry DomanovJune 14, 2013 14:15:23 UTC 2013 年 6 月 14 日 (金) 23 時 15 分 23 秒 (日本時間)
5043e6800 / 7178Dmitry DomanovJune 24, 2013 07:12:34 UTC 2013 年 6 月 24 日 (月) 16 時 12 分 34 秒 (日本時間)

26×10251-179

c231

composite cofactor 合成数の残り
963250998907777248285352785483812035469292893708911459392480121022140989366120366225663204748889374696831899205609030613373472832762559839935563249108417766935644438911034635931538226475672022711887285628811119151104446023551920371<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10253-179

c204

composite cofactor 合成数の残り
184405845456205222280345935962493641117338603335263671853195371820076387836589922257203834919217479310510611510285933043851356199417192589141031369554376173081002910730466525051492656924644679725732692583<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10254-179

c217

composite cofactor 合成数の残り
3473367876565069471097994526493665538989019401054077401905906318796542206737439937549306738927071698303220181983193965385560216860070784075256998908798407670756204904635173044939660907153992159130217073121600122689679<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10255-179

c256

composite cofactor 合成数の残り
2888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61100600Dmitry DomanovApril 26, 2016 16:19:27 UTC 2016 年 4 月 27 日 (水) 1 時 19 分 27 秒 (日本時間)
500Serge BatalovMay 1, 2016 20:51:01 UTC 2016 年 5 月 2 日 (月) 5 時 51 分 1 秒 (日本時間)
4511e61500500Serge BatalovMay 1, 2016 20:51:01 UTC 2016 年 5 月 2 日 (月) 5 時 51 分 1 秒 (日本時間)
1000Dmitry DomanovMay 3, 2016 08:46:02 UTC 2016 年 5 月 3 日 (火) 17 時 46 分 2 秒 (日本時間)
5043e67000600Dmitry DomanovMay 5, 2016 14:53:06 UTC 2016 年 5 月 5 日 (木) 23 時 53 分 6 秒 (日本時間)
2400Dmitry DomanovJanuary 5, 2017 12:58:43 UTC 2017 年 1 月 5 日 (木) 21 時 58 分 43 秒 (日本時間)
3000Dmitry DomanovFebruary 17, 2017 16:36:19 UTC 2017 年 2 月 18 日 (土) 1 時 36 分 19 秒 (日本時間)
1000Dmitry DomanovMarch 3, 2017 14:48:53 UTC 2017 年 3 月 3 日 (金) 23 時 48 分 53 秒 (日本時間)
5511e780 / 15166Dmitry DomanovMay 7, 2016 21:38:13 UTC 2016 年 5 月 8 日 (日) 6 時 38 分 13 秒 (日本時間)
6026e71 / 41142Dmitry DomanovMay 9, 2016 00:02:06 UTC 2016 年 5 月 9 日 (月) 9 時 2 分 6 秒 (日本時間)

26×10256-179

c237

composite cofactor 合成数の残り
358054225492933975231709304255216336785633846646141966689905475951904095698005850776568824849336041143976736260452726688860218703822578741764387888034731016701350051129523200759662242992052576563320156343727622797018337463987559170938007<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10259-179

c219

composite cofactor 合成数の残り
154510749711232605731954926736502201980959219497127745793022715707684612842571637656090238755805753894019425436373332441559875664248081250332202535279027505808826508634462304838223999884641841367664006592931766798850131<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10260-179

c222

composite cofactor 合成数の残り
774844087565594234537025215914480211371525725416833618279753444750863276255779001126668915918822520241831557837770118073074249142295987057723945345076679241357511581996789300580021664768564589616418698710940044125643472647<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10261-179

c244

composite cofactor 合成数の残り
2122566058144378866766332443363278456768185016857734306191914856406630538453701151807698251621699078069263095296610157056200211267376705422228613698532216311930338806832386819350932745741120233230246266784460492303644285278329088636959475205991<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10264-179

c255

composite cofactor 合成数の残り
369141155924394106597606963451994105323848490819279801098145902731828941267674300310822059598412048344373114860175107691850516009894493674756645873374267073257255329632327199141973078967081236160487838537773002801195532253962489305816196595522965840010893<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10266-179

c219

composite cofactor 合成数の残り
307605046753581334359724422427148791940302939285314975976063598122551537410849424303367211216025003270277633398595646031995080187415466928185851883273112567357291115108587423631837021788120330316587724608132976107873357<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10267-179

c262

composite cofactor 合成数の残り
2919198931393548098798715956666961954866265321724352844473052593972101215812671860819780671602133844597343102320280359865371036359408628680478295026145356121498406847183191971125080600766649005513131735700668934435128831546839725761470234331957604698473135454311<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10269-179

c270

name 名前Dmitry Domanov
date 日付May 4, 2016 11:52:57 UTC 2016 年 5 月 4 日 (水) 20 時 52 分 57 秒 (日本時間)
composite number 合成数
288888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<270>
prime factors 素因数
238258363620893828884154806549077398914079<42>
1212502614802459202039176758257338482056734765206973869088741214700995145025270535740676914725297618765121318771055569813705244670531409592228863431053766510510365054880038312619823020475885259614935388863197896928518467454661353<229>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3019791177
Step 1 took 149285ms
Step 2 took 46655ms
********** Factor found in step 2: 238258363620893828884154806549077398914079
Found probable prime factor of 42 digits: 238258363620893828884154806549077398914079
Probable prime cofactor 1212502614802459202039176758257338482056734765206973869088741214700995145025270535740676914725297618765121318771055569813705244670531409592228863431053766510510365054880038312619823020475885259614935388863197896928518467454661353 has 229 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61100600Dmitry DomanovApril 26, 2016 16:20:13 UTC 2016 年 4 月 27 日 (水) 1 時 20 分 13 秒 (日本時間)
500Serge BatalovMay 1, 2016 20:53:48 UTC 2016 年 5 月 2 日 (月) 5 時 53 分 48 秒 (日本時間)
4511e61700 / 4196500Serge BatalovMay 1, 2016 20:53:48 UTC 2016 年 5 月 2 日 (月) 5 時 53 分 48 秒 (日本時間)
1200Dmitry DomanovMay 4, 2016 07:31:18 UTC 2016 年 5 月 4 日 (水) 16 時 31 分 18 秒 (日本時間)

26×10270-179

c217

composite cofactor 合成数の残り
7486030917902604468072708350765768096081572558590996318796834827623516080550596481017138505259960723544465103383062495302850963360466682761523665312148947093485792280027676922462032601983005539008653174856147450484143<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10271-179

c257

composite cofactor 合成数の残り
41465214273160822043028721411693791525473668992386479667072135543747237057102792738008902878164915930651589229305626168076873334621393646445238852014625561020777799273012272634224163204113378819491462513745681436391361433449654290529505172619319015820035941<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10273-179

c262

composite cofactor 合成数の残り
3243796559689552622635251004399195904265267562070023222019584010648526689184684131398362724923533951968493558986408814545981920570851064979932083992768656111955222348674432243823637105046764297255457703739370044768269747658252876701249406298954413284861633074239<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10274-179

c191

composite cofactor 合成数の残り
33581042556263763956982200111877691294921688660230796709390446529937639827032579882895888465146878313117879252621753428711868701124257544662640325096928894701678857880352668221027908517759813<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovApril 26, 2016 12:10:29 UTC 2016 年 4 月 26 日 (火) 21 時 10 分 29 秒 (日本時間)
4511e6800Dmitry DomanovApril 30, 2016 23:44:10 UTC 2016 年 5 月 1 日 (日) 8 時 44 分 10 秒 (日本時間)
5043e61000 / 7346400Dmitry DomanovMay 4, 2016 14:40:58 UTC 2016 年 5 月 4 日 (水) 23 時 40 分 58 秒 (日本時間)
600Dmitry DomanovMay 7, 2016 20:53:25 UTC 2016 年 5 月 8 日 (日) 5 時 53 分 25 秒 (日本時間)

26×10275-179

c238

composite cofactor 合成数の残り
3468309056013431280217909751268099317029908207135674466236281285521577073501945507747178176422894349392577867644288929497564506173254927393396260012922278635138419554974647067736518677563399916893348912365904809573876279240376315082685041<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10276-179

c224

composite cofactor 合成数の残り
10329704950174580294737510296050614956861265743174648955161340825009936489990795742098144214187935750493109045953848335851313181895277524274731551132700864730996654054666704324084961511457387615285344518099421159687496074879<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10277-179

c236

composite cofactor 合成数の残り
17089970073841183017082203566183104386473524244396323142449585221229270685303609320611769032473001948141646246246796099730488854640583339600463953485520950668670995130028832006992469667518452920419240043167543894328514789851781786333371<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10278-179

c278

composite cofactor 合成数の残り
41269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10279-179

c273

composite cofactor 合成数の残り
463083112251221733473619018923161135699933827204348193688216363971499799208943616763530295582922698836266795645999961991563017534339260280654369922082169859277413304652102667164587877670326465935454870244201001652333977179157362926196538635406989231483118599022549101904627<273>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10280-179

c273

composite cofactor 合成数の残り
409496622953012415523386351349353033371670564672895491448638734079871821761063505317457760356405448786634810160381699110194235572423225450833771427782945073913990819252662016665564412006767952285881889982082648511262191110180797783242321212644365534130203996680425075953473<273>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10281-179

c233

composite cofactor 合成数の残り
34662376447298383129285028401788727710765238658985379963639587834585063562837988902176191133431473425523266093073546464515647035888902807295864509159208188624830827438205810809427682364141991135142841429565794038746837890238598474789<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10285-179

c262

composite cofactor 合成数の残り
1651733730286989414271489066926279457593505032483107429146597712163804466376480681141153800220177523080409169774216048551145153351217556113298790916751316437796331286514041987520176999687416426787426606037020910757142529970456307386159227489117408206555156961469<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10286-179

c254

composite cofactor 合成数の残り
22848462729778143704874338304227620797568269052464739545156581065044684172299159694006471447191427843097538493865618696804347293297394042336035607481354908824057435661751867042983320611116614526118320898165574781187774796662585863656565105303028830999127<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10287-179

c284

composite cofactor 合成数の残り
17571248031682311835587183802012583716859612486399178206245902858031074076326798180700011488892943792280815576235562854381661023592779568693442545398022558779203752137271996161358122309402645148646000175712480316823118355871838020125837168596124863991782062459028580310740763267981807<284>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10288-179

c245

composite cofactor 合成数の残り
50404238567102274849635471773828339980504268231303784107580023543630514607706132243287601246441901368537644748416485797596836738033795561402023454435612872978596347077227071825781270907583497514496838333467109744330079865963819727202844307365067<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10290-179

c287

composite cofactor 合成数の残り
26642893008290038632194862020556016682549929806224189697398219025075061227417586358838779755500220316230645475319458534435939213214874932111859161568651562195784274544765183887198089909516636437230368799122833984034758728109276850400155758451433080225849754577966327482144138051174849109<287>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10291-179

c250

composite cofactor 合成数の残り
3364097411994019136070200499314848190661526627794098234773462128038013836602657507290509801221306905917400739502925676052736080238705513397789279065113779931524099087374203115861080181145887320222562451574158443825349334948040149257031748564012782327<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10293-179

c267

composite cofactor 合成数の残り
376540566518220322510829135086349369173484379528642893113924326866060222273547059237566045263541600067396535243323394795541103225520389528666514119992221403761542966718409977933917205754440237974457524600342176741628099634542067104968308233721558629090503480596359987<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10296-179

c252

composite cofactor 合成数の残り
166162558008196248398910667785673850472451009716460704279084247227739493923676578717506824146240064678336475416750126568975447883542268244970413747024633300060765971364130991785389942996836628474274597443534421422026703484253681439337493174054025791493<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10297-179

c271

composite cofactor 合成数の残り
2470875339340324290301514946102095927428883205623744067395886691878695268219892759108294344565220811787355886214813076072557944307138493781917316148789282378881354174990044635172463118374091952692373259321657235801674969849548746744129585884844275019597285011233807792261<271>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10298-179

c265

composite cofactor 合成数の残り
9655397238150978317824774045465051424857145549853641485872979302876057434837613565948038056210065930931670289349950820731494650410858728131400655136228393375526629098734178074941319565486453593244550937965562252493651788924461918655169714825930922652942127617073681<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10299-179

c269

composite cofactor 合成数の残り
32472374022095702121471416914640250629647228956540538870660378252919805045734201773631394234489141760804174664661182539834147405944520207881157392133662112081387101052395820135298883917525685530475635943846253251026688733373812273821058936313136545341226366446717511791<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

26×10300-179

c298

composite cofactor 合成数の残り
2558803267394941442771380769609290424170849325853754551717350654463143391398484401141619919299281566774923727979529573860840468457828953843125676606633205393169963586261194764294852868812124790867040645605747465800610176163763409113276252337368369254994587146934356854640291309910441885641177049503<298>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovApril 26, 2016 14:33:52 UTC 2016 年 4 月 26 日 (火) 23 時 33 分 52 秒 (日本時間)
4511e61200Dmitry DomanovApril 30, 2016 16:55:51 UTC 2016 年 5 月 1 日 (日) 1 時 55 分 51 秒 (日本時間)
5043e6600 / 6944Dmitry DomanovMay 6, 2016 17:13:09 UTC 2016 年 5 月 7 日 (土) 2 時 13 分 9 秒 (日本時間)
5511e7120 / 17470Dmitry DomanovMay 11, 2016 15:02:50 UTC 2016 年 5 月 12 日 (木) 0 時 2 分 50 秒 (日本時間)