Table of contents 目次

38×10109+619

c98

name 名前Robert Backstrom
date 日付December 23, 2008 13:36:23 UTC 2008 年 12 月 23 日 (火) 22 時 36 分 23 秒 (日本時間)
composite number 合成数
59279818090142310194468555816137740448324236376809698473858515326593093225915093020485675422392481<98>
prime factors 素因数
26751738096440014307990911916120465357207011<44>
2215923985067384009560418171449180919028006614390617771<55>
factorization results 素因数分解の結果
Number: n
N=59279818090142310194468555816137740448324236376809698473858515326593093225915093020485675422392481
  ( 98 digits)
SNFS difficulty: 111 digits.
Divisors found:

Wed Dec 24 00:30:23 2008  prp44 factor: 26751738096440014307990911916120465357207011
Wed Dec 24 00:30:23 2008  prp55 factor: 2215923985067384009560418171449180919028006614390617771
Wed Dec 24 00:30:23 2008  elapsed time 00:05:05 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 0.65 hours.
Scaled time: 1.20 units (timescale=1.828).
Factorization parameters were as follows:
name: KA_4_2_108_9
n: 59279818090142310194468555816137740448324236376809698473858515326593093225915093020485675422392481
type: snfs
skew: 1.74
deg: 5
c5: 19
c0: 305
m: 10000000000000000000000
rlim: 450000
alim: 450000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.5
alambda: 2.5
qintsize: 5000
Factor base limits: 450000/450000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 275001)
Primes: RFBsize:37706, AFBsize:37830, largePrimes:4770991 encountered
Relations: rels:3870829, finalFF:81071
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 105623 hash collisions in 3950766 relations
Msieve: matrix is 89786 x 90033 (23.6 MB)

Total sieving time: 0.60 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,111,5,0,0,0,0,0,0,0,0,450000,450000,29,29,58,58,2.5,2.5,50000
total time: 0.65 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

38×10111+619

c89

name 名前Sinkiti Sibata
date 日付December 23, 2008 09:45:09 UTC 2008 年 12 月 23 日 (火) 18 時 45 分 9 秒 (日本時間)
composite number 合成数
49651162776832117853392950700141070758766904970016036759288163519498755604332466735157811<89>
prime factors 素因数
7397064209141958485367330886373433809<37>
6712279544020820708812321814113647261175372549034179<52>
factorization results 素因数分解の結果
Tue Dec 23 17:27:13 2008  Msieve v. 1.39
Tue Dec 23 17:27:13 2008  random seeds: 7cbef738 6f66a5b2
Tue Dec 23 17:27:13 2008  factoring 49651162776832117853392950700141070758766904970016036759288163519498755604332466735157811 (89 digits)
Tue Dec 23 17:27:14 2008  searching for 15-digit factors
Tue Dec 23 17:27:16 2008  commencing quadratic sieve (89-digit input)
Tue Dec 23 17:27:16 2008  using multiplier of 11
Tue Dec 23 17:27:16 2008  using 32kb Intel Core sieve core
Tue Dec 23 17:27:16 2008  sieve interval: 32 blocks of size 32768
Tue Dec 23 17:27:16 2008  processing polynomials in batches of 7
Tue Dec 23 17:27:16 2008  using a sieve bound of 1556189 (58842 primes)
Tue Dec 23 17:27:16 2008  using large prime bound of 124495120 (26 bits)
Tue Dec 23 17:27:16 2008  using double large prime bound of 372626841652480 (42-49 bits)
Tue Dec 23 17:27:16 2008  using trial factoring cutoff of 49 bits
Tue Dec 23 17:27:16 2008  polynomial 'A' values have 11 factors
Tue Dec 23 18:38:03 2008  59083 relations (15371 full + 43712 combined from 629948 partial), need 58938
Tue Dec 23 18:38:04 2008  begin with 645319 relations
Tue Dec 23 18:38:04 2008  reduce to 144756 relations in 9 passes
Tue Dec 23 18:38:04 2008  attempting to read 144756 relations
Tue Dec 23 18:38:06 2008  recovered 144756 relations
Tue Dec 23 18:38:06 2008  recovered 124039 polynomials
Tue Dec 23 18:38:06 2008  attempting to build 59083 cycles
Tue Dec 23 18:38:06 2008  found 59083 cycles in 5 passes
Tue Dec 23 18:38:06 2008  distribution of cycle lengths:
Tue Dec 23 18:38:06 2008     length 1 : 15371
Tue Dec 23 18:38:06 2008     length 2 : 11272
Tue Dec 23 18:38:06 2008     length 3 : 10572
Tue Dec 23 18:38:06 2008     length 4 : 7903
Tue Dec 23 18:38:06 2008     length 5 : 5658
Tue Dec 23 18:38:06 2008     length 6 : 3490
Tue Dec 23 18:38:06 2008     length 7 : 2178
Tue Dec 23 18:38:06 2008     length 9+: 2639
Tue Dec 23 18:38:06 2008  largest cycle: 20 relations
Tue Dec 23 18:38:07 2008  matrix is 58842 x 59083 (14.7 MB) with weight 3621608 (61.30/col)
Tue Dec 23 18:38:07 2008  sparse part has weight 3621608 (61.30/col)
Tue Dec 23 18:38:07 2008  filtering completed in 3 passes
Tue Dec 23 18:38:07 2008  matrix is 55011 x 55075 (13.8 MB) with weight 3403270 (61.79/col)
Tue Dec 23 18:38:07 2008  sparse part has weight 3403270 (61.79/col)
Tue Dec 23 18:38:08 2008  saving the first 48 matrix rows for later
Tue Dec 23 18:38:08 2008  matrix is 54963 x 55075 (10.5 MB) with weight 2875828 (52.22/col)
Tue Dec 23 18:38:08 2008  sparse part has weight 2420144 (43.94/col)
Tue Dec 23 18:38:08 2008  matrix includes 64 packed rows
Tue Dec 23 18:38:08 2008  using block size 22030 for processor cache size 1024 kB
Tue Dec 23 18:38:08 2008  commencing Lanczos iteration
Tue Dec 23 18:38:08 2008  memory use: 9.3 MB
Tue Dec 23 18:38:29 2008  lanczos halted after 871 iterations (dim = 54961)
Tue Dec 23 18:38:29 2008  recovered 17 nontrivial dependencies
Tue Dec 23 18:38:29 2008  prp37 factor: 7397064209141958485367330886373433809
Tue Dec 23 18:38:29 2008  prp52 factor: 6712279544020820708812321814113647261175372549034179
Tue Dec 23 18:38:29 2008  elapsed time 01:11:16

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

38×10116+619

c87

name 名前Robert Backstrom
date 日付December 23, 2008 07:51:17 UTC 2008 年 12 月 23 日 (火) 16 時 51 分 17 秒 (日本時間)
composite number 合成数
173005467235862557859424523342614033694193668612191137256544163118007289277935603085367<87>
prime factors 素因数
4242755187407345742527427668930198334521<40>
40776679208206304454293512576431198414080057327<47>
factorization results 素因数分解の結果
Tue Dec 23 18:19:00 2008  
Tue Dec 23 18:19:00 2008  
Tue Dec 23 18:19:00 2008  Msieve v. 1.39
Tue Dec 23 18:19:00 2008  random seeds: 96cc2620 f2dff84d
Tue Dec 23 18:19:00 2008  factoring 173005467235862557859424523342614033694193668612191137256544163118007289277935603085367 (87 digits)
Tue Dec 23 18:19:01 2008  searching for 15-digit factors
Tue Dec 23 18:19:02 2008  commencing quadratic sieve (87-digit input)
Tue Dec 23 18:19:02 2008  using multiplier of 7
Tue Dec 23 18:19:02 2008  using 64kb Opteron sieve core
Tue Dec 23 18:19:02 2008  sieve interval: 10 blocks of size 65536
Tue Dec 23 18:19:02 2008  processing polynomials in batches of 11
Tue Dec 23 18:19:02 2008  using a sieve bound of 1480243 (56254 primes)
Tue Dec 23 18:19:02 2008  using large prime bound of 118419440 (26 bits)
Tue Dec 23 18:19:02 2008  using double large prime bound of 340534638927600 (41-49 bits)
Tue Dec 23 18:19:02 2008  using trial factoring cutoff of 49 bits
Tue Dec 23 18:19:02 2008  polynomial 'A' values have 11 factors
Tue Dec 23 18:48:34 2008  56642 relations (16217 full + 40425 combined from 588342 partial), need 56350
Tue Dec 23 18:48:34 2008  begin with 604559 relations
Tue Dec 23 18:48:34 2008  reduce to 134247 relations in 11 passes
Tue Dec 23 18:48:34 2008  attempting to read 134247 relations
Tue Dec 23 18:48:35 2008  recovered 134247 relations
Tue Dec 23 18:48:35 2008  recovered 109821 polynomials
Tue Dec 23 18:48:35 2008  attempting to build 56642 cycles
Tue Dec 23 18:48:36 2008  found 56642 cycles in 5 passes
Tue Dec 23 18:48:36 2008  distribution of cycle lengths:
Tue Dec 23 18:48:36 2008     length 1 : 16217
Tue Dec 23 18:48:36 2008     length 2 : 11293
Tue Dec 23 18:48:36 2008     length 3 : 10010
Tue Dec 23 18:48:36 2008     length 4 : 7280
Tue Dec 23 18:48:36 2008     length 5 : 5006
Tue Dec 23 18:48:36 2008     length 6 : 3000
Tue Dec 23 18:48:36 2008     length 7 : 1762
Tue Dec 23 18:48:36 2008     length 9+: 2074
Tue Dec 23 18:48:36 2008  largest cycle: 17 relations
Tue Dec 23 18:48:36 2008  matrix is 56254 x 56642 (12.9 MB) with weight 3166386 (55.90/col)
Tue Dec 23 18:48:36 2008  sparse part has weight 3166386 (55.90/col)
Tue Dec 23 18:48:37 2008  filtering completed in 3 passes
Tue Dec 23 18:48:37 2008  matrix is 51309 x 51373 (11.8 MB) with weight 2892193 (56.30/col)
Tue Dec 23 18:48:37 2008  sparse part has weight 2892193 (56.30/col)
Tue Dec 23 18:48:37 2008  saving the first 48 matrix rows for later
Tue Dec 23 18:48:37 2008  matrix is 51261 x 51373 (7.7 MB) with weight 2276433 (44.31/col)
Tue Dec 23 18:48:37 2008  sparse part has weight 1699820 (33.09/col)
Tue Dec 23 18:48:37 2008  matrix includes 64 packed rows
Tue Dec 23 18:48:37 2008  using block size 20549 for processor cache size 1024 kB
Tue Dec 23 18:48:37 2008  commencing Lanczos iteration
Tue Dec 23 18:48:37 2008  memory use: 7.5 MB
Tue Dec 23 18:48:51 2008  lanczos halted after 812 iterations (dim = 51259)
Tue Dec 23 18:48:51 2008  recovered 16 nontrivial dependencies
Tue Dec 23 18:48:52 2008  prp40 factor: 4242755187407345742527427668930198334521
Tue Dec 23 18:48:52 2008  prp47 factor: 40776679208206304454293512576431198414080057327
Tue Dec 23 18:48:52 2008  elapsed time 00:29:52

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

38×10122+619

c88

name 名前Sinkiti Sibata
date 日付December 23, 2008 11:08:57 UTC 2008 年 12 月 23 日 (火) 20 時 8 分 57 秒 (日本時間)
composite number 合成数
1943289532866025046805189916901455945080339390486360112365850271499631585958241209015851<88>
prime factors 素因数
17894098175364997990374216358774504223<38>
108599467479248166102092723780312641021472824805237<51>
factorization results 素因数分解の結果
Tue Dec 23 18:47:15 2008  Msieve v. 1.39
Tue Dec 23 18:47:15 2008  random seeds: 160947d4 cef27f46
Tue Dec 23 18:47:15 2008  factoring 1943289532866025046805189916901455945080339390486360112365850271499631585958241209015851 (88 digits)
Tue Dec 23 18:47:16 2008  searching for 15-digit factors
Tue Dec 23 18:47:17 2008  commencing quadratic sieve (88-digit input)
Tue Dec 23 18:47:17 2008  using multiplier of 19
Tue Dec 23 18:47:17 2008  using 32kb Intel Core sieve core
Tue Dec 23 18:47:17 2008  sieve interval: 24 blocks of size 32768
Tue Dec 23 18:47:17 2008  processing polynomials in batches of 9
Tue Dec 23 18:47:17 2008  using a sieve bound of 1506511 (57333 primes)
Tue Dec 23 18:47:17 2008  using large prime bound of 120520880 (26 bits)
Tue Dec 23 18:47:17 2008  using double large prime bound of 351489263807840 (42-49 bits)
Tue Dec 23 18:47:17 2008  using trial factoring cutoff of 49 bits
Tue Dec 23 18:47:17 2008  polynomial 'A' values have 11 factors
Tue Dec 23 19:37:18 2008  57729 relations (16066 full + 41663 combined from 603363 partial), need 57429
Tue Dec 23 19:37:19 2008  begin with 619429 relations
Tue Dec 23 19:37:19 2008  reduce to 138258 relations in 10 passes
Tue Dec 23 19:37:19 2008  attempting to read 138258 relations
Tue Dec 23 19:37:21 2008  recovered 138258 relations
Tue Dec 23 19:37:21 2008  recovered 115980 polynomials
Tue Dec 23 19:37:21 2008  attempting to build 57729 cycles
Tue Dec 23 19:37:21 2008  found 57729 cycles in 5 passes
Tue Dec 23 19:37:21 2008  distribution of cycle lengths:
Tue Dec 23 19:37:21 2008     length 1 : 16066
Tue Dec 23 19:37:21 2008     length 2 : 11406
Tue Dec 23 19:37:21 2008     length 3 : 10192
Tue Dec 23 19:37:21 2008     length 4 : 7446
Tue Dec 23 19:37:21 2008     length 5 : 5239
Tue Dec 23 19:37:21 2008     length 6 : 3296
Tue Dec 23 19:37:21 2008     length 7 : 1905
Tue Dec 23 19:37:21 2008     length 9+: 2179
Tue Dec 23 19:37:21 2008  largest cycle: 19 relations
Tue Dec 23 19:37:21 2008  matrix is 57333 x 57729 (13.8 MB) with weight 3385288 (58.64/col)
Tue Dec 23 19:37:21 2008  sparse part has weight 3385288 (58.64/col)
Tue Dec 23 19:37:22 2008  filtering completed in 3 passes
Tue Dec 23 19:37:22 2008  matrix is 52973 x 53036 (12.7 MB) with weight 3125748 (58.94/col)
Tue Dec 23 19:37:22 2008  sparse part has weight 3125748 (58.94/col)
Tue Dec 23 19:37:22 2008  saving the first 48 matrix rows for later
Tue Dec 23 19:37:22 2008  matrix is 52925 x 53036 (9.3 MB) with weight 2584488 (48.73/col)
Tue Dec 23 19:37:22 2008  sparse part has weight 2112719 (39.84/col)
Tue Dec 23 19:37:22 2008  matrix includes 64 packed rows
Tue Dec 23 19:37:22 2008  using block size 21214 for processor cache size 1024 kB
Tue Dec 23 19:37:23 2008  commencing Lanczos iteration
Tue Dec 23 19:37:23 2008  memory use: 8.5 MB
Tue Dec 23 19:37:40 2008  lanczos halted after 838 iterations (dim = 52924)
Tue Dec 23 19:37:41 2008  recovered 17 nontrivial dependencies
Tue Dec 23 19:37:42 2008  prp38 factor: 17894098175364997990374216358774504223
Tue Dec 23 19:37:42 2008  prp51 factor: 108599467479248166102092723780312641021472824805237
Tue Dec 23 19:37:42 2008  elapsed time 00:50:27

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

38×10123+619

c106

name 名前Sinkiti Sibata
date 日付December 23, 2008 12:26:08 UTC 2008 年 12 月 23 日 (火) 21 時 26 分 8 秒 (日本時間)
composite number 合成数
2463442514215982536119131591935078249728878201624727560526653267928776465809352361520806512445821303420863<106>
prime factors 素因数
90758930904109184231531507553783048527<38>
27142700885477796848302781645863411898017548539507764956042342567569<68>
factorization results 素因数分解の結果
Number: 42229_123
N=2463442514215982536119131591935078249728878201624727560526653267928776465809352361520806512445821303420863
  ( 106 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=90758930904109184231531507553783048527
 r2=27142700885477796848302781645863411898017548539507764956042342567569
Version: 
Total time: 1.88 hours.
Scaled time: 4.84 units (timescale=2.575).
Factorization parameters were as follows:
name: 42229_123
n: 2463442514215982536119131591935078249728878201624727560526653267928776465809352361520806512445821303420863
m: 5000000000000000000000000
deg: 5
c5: 304
c0: 1525
skew: 1.38
type: snfs
lss: 1
rlim: 880000
alim: 880000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 880000/880000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [440000, 640001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 111021 x 111261
Total sieving time: 1.88 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,125,5,0,0,0,0,0,0,0,0,880000,880000,26,26,46,46,2.3,2.3,50000
total time: 1.88 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 KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

38×10124+619

c89

name 名前Sinkiti Sibata
date 日付December 23, 2008 12:15:38 UTC 2008 年 12 月 23 日 (火) 21 時 15 分 38 秒 (日本時間)
composite number 合成数
17712839607524491181194896261236888181051603158412905861666362722760429830774699542102681<89>
prime factors 素因数
63555308651323802072448928885255075100069<41>
278699608001282959114888883431789684547614379749<48>
factorization results 素因数分解の結果
Tue Dec 23 20:12:21 2008  Msieve v. 1.39
Tue Dec 23 20:12:21 2008  random seeds: 7df503ec db120c14
Tue Dec 23 20:12:21 2008  factoring 17712839607524491181194896261236888181051603158412905861666362722760429830774699542102681 (89 digits)
Tue Dec 23 20:12:22 2008  searching for 15-digit factors
Tue Dec 23 20:12:24 2008  commencing quadratic sieve (89-digit input)
Tue Dec 23 20:12:24 2008  using multiplier of 1
Tue Dec 23 20:12:24 2008  using 32kb Intel Core sieve core
Tue Dec 23 20:12:24 2008  sieve interval: 30 blocks of size 32768
Tue Dec 23 20:12:24 2008  processing polynomials in batches of 7
Tue Dec 23 20:12:24 2008  using a sieve bound of 1546837 (58547 primes)
Tue Dec 23 20:12:24 2008  using large prime bound of 123746960 (26 bits)
Tue Dec 23 20:12:24 2008  using double large prime bound of 368605688486800 (42-49 bits)
Tue Dec 23 20:12:24 2008  using trial factoring cutoff of 49 bits
Tue Dec 23 20:12:24 2008  polynomial 'A' values have 11 factors
Tue Dec 23 21:02:17 2008  58671 relations (16518 full + 42153 combined from 614508 partial), need 58643
Tue Dec 23 21:02:18 2008  begin with 631026 relations
Tue Dec 23 21:02:19 2008  reduce to 139761 relations in 11 passes
Tue Dec 23 21:02:19 2008  attempting to read 139761 relations
Tue Dec 23 21:02:20 2008  recovered 139761 relations
Tue Dec 23 21:02:20 2008  recovered 112916 polynomials
Tue Dec 23 21:02:20 2008  attempting to build 58671 cycles
Tue Dec 23 21:02:21 2008  found 58671 cycles in 6 passes
Tue Dec 23 21:02:21 2008  distribution of cycle lengths:
Tue Dec 23 21:02:21 2008     length 1 : 16518
Tue Dec 23 21:02:21 2008     length 2 : 11650
Tue Dec 23 21:02:21 2008     length 3 : 10419
Tue Dec 23 21:02:21 2008     length 4 : 7564
Tue Dec 23 21:02:21 2008     length 5 : 5203
Tue Dec 23 21:02:21 2008     length 6 : 3267
Tue Dec 23 21:02:21 2008     length 7 : 1916
Tue Dec 23 21:02:21 2008     length 9+: 2134
Tue Dec 23 21:02:21 2008  largest cycle: 19 relations
Tue Dec 23 21:02:21 2008  matrix is 58547 x 58671 (13.9 MB) with weight 3403013 (58.00/col)
Tue Dec 23 21:02:21 2008  sparse part has weight 3403013 (58.00/col)
Tue Dec 23 21:02:21 2008  filtering completed in 3 passes
Tue Dec 23 21:02:21 2008  matrix is 53864 x 53928 (12.9 MB) with weight 3170121 (58.78/col)
Tue Dec 23 21:02:21 2008  sparse part has weight 3170121 (58.78/col)
Tue Dec 23 21:02:22 2008  saving the first 48 matrix rows for later
Tue Dec 23 21:02:22 2008  matrix is 53816 x 53928 (9.1 MB) with weight 2584186 (47.92/col)
Tue Dec 23 21:02:22 2008  sparse part has weight 2066484 (38.32/col)
Tue Dec 23 21:02:22 2008  matrix includes 64 packed rows
Tue Dec 23 21:02:22 2008  using block size 21571 for processor cache size 1024 kB
Tue Dec 23 21:02:22 2008  commencing Lanczos iteration
Tue Dec 23 21:02:22 2008  memory use: 8.4 MB
Tue Dec 23 21:02:40 2008  lanczos halted after 853 iterations (dim = 53814)
Tue Dec 23 21:02:40 2008  recovered 16 nontrivial dependencies
Tue Dec 23 21:02:41 2008  prp41 factor: 63555308651323802072448928885255075100069
Tue Dec 23 21:02:41 2008  prp48 factor: 278699608001282959114888883431789684547614379749
Tue Dec 23 21:02:41 2008  elapsed time 00:50:20

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

38×10125+619

c120

name 名前Sinkiti Sibata
date 日付December 23, 2008 13:01:19 UTC 2008 年 12 月 23 日 (火) 22 時 1 分 19 秒 (日本時間)
composite number 合成数
219118921662736653480897241240879679435937152310888693873048609053267290890344184505974190904823332197951341875626831481<120>
prime factors 素因数
375555149263134842089555204601763364829365781719<48>
583453381194914039518484879886709379205169265358315351203669660340202799<72>
factorization results 素因数分解の結果
Number: 42229_125
N=219118921662736653480897241240879679435937152310888693873048609053267290890344184505974190904823332197951341875626831481
  ( 120 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=375555149263134842089555204601763364829365781719
 r2=583453381194914039518484879886709379205169265358315351203669660340202799
Version: 
Total time: 2.23 hours.
Scaled time: 4.43 units (timescale=1.991).
Factorization parameters were as follows:
name: 42229_125
n: 219118921662736653480897241240879679435937152310888693873048609053267290890344184505974190904823332197951341875626831481
m: 10000000000000000000000000
deg: 5
c5: 38
c0: 61
skew: 1.10
type: snfs
lss: 1
rlim: 900000
alim: 900000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 900000/900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [450000, 700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 123791 x 124029
Total sieving time: 2.23 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,126,5,0,0,0,0,0,0,0,0,900000,900000,26,26,46,46,2.3,2.3,50000
total time: 2.23 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 KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

38×10129+619

c102

name 名前Serge Batalov
date 日付December 23, 2008 13:13:23 UTC 2008 年 12 月 23 日 (火) 22 時 13 分 23 秒 (日本時間)
composite number 合成数
850428314708993445914832830953861503141974686810511670064258988184453693755022586144384679230460278979<102>
prime factors 素因数
6877800995261078438976596986477<31>
123648287482431227866137204018035742921025020239320352409776567579513327<72>
factorization results 素因数分解の結果
Factor found in step 1: 6877800995261078438976596986477
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 KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

38×10131+619

c129

name 名前Sinkiti Sibata
date 日付December 23, 2008 12:32:05 UTC 2008 年 12 月 23 日 (火) 21 時 32 分 5 秒 (日本時間)
composite number 合成数
212920939093405054070712164509441362694010197792346052557852860424721241665265871014736370258306718215946657701574494312769653163<129>
prime factors 素因数
18931593415430636447428825920870807172531523070990639092291417<62>
11246857801195903571673445644347018389968064581167169333729364888739<68>
factorization results 素因数分解の結果
Number: 42229_131
N=212920939093405054070712164509441362694010197792346052557852860424721241665265871014736370258306718215946657701574494312769653163
  ( 129 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=18931593415430636447428825920870807172531523070990639092291417
 r2=11246857801195903571673445644347018389968064581167169333729364888739
Version: 
Total time: 3.43 hours.
Scaled time: 7.84 units (timescale=2.282).
Factorization parameters were as follows:
name: 42229_131
n: 212920939093405054070712164509441362694010197792346052557852860424721241665265871014736370258306718215946657701574494312769653163
m: 100000000000000000000000000
deg: 5
c5: 380
c0: 61
skew: 0.69
type: snfs
lss: 1
rlim: 1130000
alim: 1130000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1130000/1130000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [565000, 1015001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 159415 x 159663
Total sieving time: 3.43 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,132,5,0,0,0,0,0,0,0,0,1130000,1130000,26,26,47,47,2.3,2.3,50000
total time: 3.43 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 KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

38×10132+619

c120

name 名前Sinkiti Sibata
date 日付December 23, 2008 23:11:02 UTC 2008 年 12 月 24 日 (水) 8 時 11 分 2 秒 (日本時間)
composite number 合成数
494636115644049218819442914466771717713015102938955522069569580741406160381239875380518653429265348791970272174371660801<120>
prime factors 素因数
2969872220720596372610570814567592219469836109293<49>
166551312272968076499268266318802432077753188457365327152386424859382757<72>
factorization results 素因数分解の結果
Number: 42229_132
N=494636115644049218819442914466771717713015102938955522069569580741406160381239875380518653429265348791970272174371660801
  ( 120 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=2969872220720596372610570814567592219469836109293
 r2=166551312272968076499268266318802432077753188457365327152386424859382757
Version: 
Total time: 4.08 hours.
Scaled time: 9.61 units (timescale=2.357).
Factorization parameters were as follows:
name: 42229_132
n: 494636115644049218819442914466771717713015102938955522069569580741406160381239875380518653429265348791970272174371660801
m: 200000000000000000000000000
deg: 5
c5: 475
c0: 244
skew: 0.88
type: snfs
lss: 1
rlim: 1210000
alim: 1210000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1210000/1210000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [605000, 1130001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 162582 x 162827
Total sieving time: 4.08 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,134,5,0,0,0,0,0,0,0,0,1210000,1210000,26,26,47,47,2.3,2.3,75000
total time: 4.08 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 KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

38×10133+619

c113

name 名前Sinkiti Sibata
date 日付December 24, 2008 04:51:18 UTC 2008 年 12 月 24 日 (水) 13 時 51 分 18 秒 (日本時間)
composite number 合成数
16650134443707430675722745496325348238405457625575494554061037823950827364147409161145258157135657400068205566763<113>
prime factors 素因数
3454354056951432918786575190491331483927052530924391<52>
4820042812404022801199777592890218362440628066520836743662493<61>
factorization results 素因数分解の結果
Number: 42229_133
N=16650134443707430675722745496325348238405457625575494554061037823950827364147409161145258157135657400068205566763
  ( 113 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=3454354056951432918786575190491331483927052530924391
 r2=4820042812404022801199777592890218362440628066520836743662493
Version: 
Total time: 4.36 hours.
Scaled time: 8.73 units (timescale=2.003).
Factorization parameters were as follows:
name: 42229_133
n: 16650134443707430675722745496325348238405457625575494554061037823950827364147409161145258157135657400068205566763
m: 500000000000000000000000000
deg: 5
c5: 304
c0: 1525
skew: 1.38
type: snfs
lss: 1
rlim: 1290000
alim: 1290000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1290000/1290000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [645000, 1095001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 149895 x 150143
Total sieving time: 4.36 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,135,5,0,0,0,0,0,0,0,0,1290000,1290000,26,26,47,47,2.3,2.3,75000
total time: 4.36 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 KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

38×10136+619

c123

name 名前Sinkiti Sibata
date 日付December 23, 2008 23:03:19 UTC 2008 年 12 月 24 日 (水) 8 時 3 分 19 秒 (日本時間)
composite number 合成数
693971668979787672360221564933897224316140193326896041334006376981172056648340109892525747331357177578992585148159179582133<123>
prime factors 素因数
12994371931234232563572230204953<32>
2821341889370461231082316680328888029873454389<46>
18929133352137533796090816854860634959299355049<47>
factorization results 素因数分解の結果
Number: 42229_136
N=693971668979787672360221564933897224316140193326896041334006376981172056648340109892525747331357177578992585148159179582133
  ( 123 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=12994371931234232563572230204953
 r2=2821341889370461231082316680328888029873454389
 r3=18929133352137533796090816854860634959299355049
Version: 
Total time: 6.24 hours.
Scaled time: 12.28 units (timescale=1.967).
Factorization parameters were as follows:
name: 42229_136
n: 693971668979787672360221564933897224316140193326896041334006376981172056648340109892525747331357177578992585148159179582133
m: 1000000000000000000000000000
deg: 5
c5: 380
c0: 61
skew: 0.69
type: snfs
lss: 1
rlim: 1370000
alim: 1370000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1370000/1370000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [685000, 1360001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 193020 x 193268
Total sieving time: 6.24 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,137,5,0,0,0,0,0,0,0,0,1370000,1370000,26,26,48,48,2.3,2.3,75000
total time: 6.24 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 KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

38×10137+619

c133

name 名前Sinkiti Sibata
date 日付December 23, 2008 23:07:38 UTC 2008 年 12 月 24 日 (水) 8 時 7 分 38 秒 (日本時間)
composite number 合成数
7339038470080864615984812053018758968594709325793436968281834527858410634653008329808663541781339142761680176291429354995084775550959<133>
prime factors 素因数
6456539318974069952317840383913635547<37>
84353085074939403498494219218028513808174498829<47>
13475298467557402274192836515690867490289089049393<50>
factorization results 素因数分解の結果
Number: 42229_137
N=7339038470080864615984812053018758968594709325793436968281834527858410634653008329808663541781339142761680176291429354995084775550959
  ( 133 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=6456539318974069952317840383913635547
 r2=84353085074939403498494219218028513808174498829
 r3=13475298467557402274192836515690867490289089049393
Version: 
Total time: 5.42 hours.
Scaled time: 13.96 units (timescale=2.575).
Factorization parameters were as follows:
name: 42229_137
n: 7339038470080864615984812053018758968594709325793436968281834527858410634653008329808663541781339142761680176291429354995084775550959
m: 2000000000000000000000000000
deg: 5
c5: 475
c0: 244
skew: 0.88
type: snfs
lss: 1
rlim: 1460000
alim: 1460000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1460000/1460000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [730000, 1480001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 206320 x 206568
Total sieving time: 5.42 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,139,5,0,0,0,0,0,0,0,0,1460000,1460000,26,26,48,48,2.3,2.3,75000
total time: 5.42 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 KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

38×10139+619

c124

name 名前Sinkiti Sibata
date 日付December 24, 2008 07:41:19 UTC 2008 年 12 月 24 日 (水) 16 時 41 分 19 秒 (日本時間)
composite number 合成数
1070819975697581372026915209957136700305843805306366832768537504626396109208627745838362563415637931633490196373116881930747<124>
prime factors 素因数
40995216861330514782493424946046859932427<41>
26120607663077197279728695742834580519372241488994079940765343709210850548980030161<83>
factorization results 素因数分解の結果
Number: 42229_139
N=1070819975697581372026915209957136700305843805306366832768537504626396109208627745838362563415637931633490196373116881930747
  ( 124 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=40995216861330514782493424946046859932427
 r2=26120607663077197279728695742834580519372241488994079940765343709210850548980030161
Version: 
Total time: 6.97 hours.
Scaled time: 14.00 units (timescale=2.010).
Factorization parameters were as follows:
name: 42229_139
n: 1070819975697581372026915209957136700305843805306366832768537504626396109208627745838362563415637931633490196373116881930747
m: 10000000000000000000000000000
deg: 5
c5: 19
c0: 305
skew: 1.74
type: snfs
lss: 1
rlim: 1580000
alim: 1580000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1580000/1580000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [790000, 1490001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 208332 x 208580
Total sieving time: 6.97 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,141,5,0,0,0,0,0,0,0,0,1580000,1580000,26,26,48,48,2.3,2.3,100000
total time: 6.97 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 KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

38×10140+619

c127

name 名前Sinkiti Sibata
date 日付December 24, 2008 12:25:03 UTC 2008 年 12 月 24 日 (水) 21 時 25 分 3 秒 (日本時間)
composite number 合成数
2788707908027038368820676356991699645995675322839068899344297739110534039864931465687628595805788445793745961473494234473766331<127>
prime factors 素因数
4363189719756629305373249732984127052389932144242640081636599<61>
639144315774237606362299455808713290546585132219180798704818559069<66>
factorization results 素因数分解の結果
Number: 42229_140
N=2788707908027038368820676356991699645995675322839068899344297739110534039864931465687628595805788445793745961473494234473766331
  ( 127 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=4363189719756629305373249732984127052389932144242640081636599
 r2=639144315774237606362299455808713290546585132219180798704818559069
Version: 
Total time: 6.86 hours.
Scaled time: 13.78 units (timescale=2.010).
Factorization parameters were as follows:
name: 42227_140
n: 2788707908027038368820676356991699645995675322839068899344297739110534039864931465687628595805788445793745961473494234473766331
m: 10000000000000000000000000000
deg: 5
c5: 38
c0: 61
skew: 1.10
type: snfs
lss: 1
rlim: 1600000
alim: 1600000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1600000/1600000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [800000, 1500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 249081 x 249329
Total sieving time: 6.86 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,141,5,0,0,0,0,0,0,0,0,1600000,1600000,26,26,48,48,2.3,2.3,100000
total time: 6.86 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 KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

38×10143+619

c108

name 名前Sinkiti Sibata
date 日付December 24, 2008 21:08:03 UTC 2008 年 12 月 25 日 (木) 6 時 8 分 3 秒 (日本時間)
composite number 合成数
397543457057266918884845579618051966809384919381927176588582112286687485108113865531283414443127005287628869<108>
prime factors 素因数
247067337455777187755752491982412454361833257217269<51>
1609049019393037299239339702182176490310075105569308816401<58>
factorization results 素因数分解の結果
Number: 42229_143
N=397543457057266918884845579618051966809384919381927176588582112286687485108113865531283414443127005287628869
  ( 108 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=247067337455777187755752491982412454361833257217269
 r2=1609049019393037299239339702182176490310075105569308816401
Version: 
Total time: 9.34 hours.
Scaled time: 18.43 units (timescale=1.972).
Factorization parameters were as follows:
name: 42229_143
n: 397543457057266918884845579618051966809384919381927176588582112286687485108113865531283414443127005287628869
m: 50000000000000000000000000000
deg: 5
c5: 304
c0: 1525
skew: 1.38
type: snfs
lss: 1
rlim: 1900000
alim: 1900000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1900000/1900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [950000, 1850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 262775 x 263023
Total sieving time: 9.34 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,145,5,0,0,0,0,0,0,0,0,1900000,1900000,26,26,49,49,2.3,2.3,100000
total time: 9.34 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 KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

38×10144+619

c115

name 名前Serge Batalov
date 日付December 23, 2008 15:23:23 UTC 2008 年 12 月 24 日 (水) 0 時 23 分 23 秒 (日本時間)
composite number 合成数
8457262317714147294016385721547660853752827578558985837705086326524939731121810659969466260464024334657441718374897<115>
prime factors 素因数
185958730996919530697610925218379<33>
435936853888932377299397412491753686571<39>
104325299889160694313575763049847352543268633<45>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1036791296
Step 1 took 8186ms
Step 2 took 9254ms
********** Factor found in step 2: 185958730996919530697610925218379
Found probable prime factor of 33 digits: 185958730996919530697610925218379
Composite cofactor has 83 digits

Tue Dec 23 05:15:51 2008
Tue Dec 23 05:15:51 2008  Msieve v. 1.39
Tue Dec 23 05:15:51 2008  random seeds: 90094d45 a7ce150a
Tue Dec 23 05:15:51 2008  factoring 45479243014700098733299390696402372968311259821857132401813685792934459068137627443 (83 digits)
Tue Dec 23 05:15:52 2008  searching for 15-digit factors
Tue Dec 23 05:15:52 2008  commencing quadratic sieve (83-digit input)
Tue Dec 23 05:15:52 2008  using multiplier of 3
Tue Dec 23 05:15:52 2008  using 64kb Opteron sieve core
Tue Dec 23 05:15:52 2008  sieve interval: 6 blocks of size 65536
Tue Dec 23 05:15:52 2008  processing polynomials in batches of 17
Tue Dec 23 05:15:52 2008  using a sieve bound of 1368329 (52647 primes)
Tue Dec 23 05:15:52 2008  using large prime bound of 121781281 (26 bits)
Tue Dec 23 05:15:52 2008  using trial factoring cutoff of 27 bits
Tue Dec 23 05:15:52 2008  polynomial 'A' values have 11 factors
Tue Dec 23 05:38:35 2008  52767 relations (26541 full + 26226 combined from 280810 partial), need 52743
Tue Dec 23 05:38:35 2008  begin with 307351 relations
Tue Dec 23 05:38:35 2008  reduce to 75673 relations in 2 passes
Tue Dec 23 05:38:35 2008  attempting to read 75673 relations
Tue Dec 23 05:38:36 2008  recovered 75673 relations
Tue Dec 23 05:38:36 2008  recovered 69585 polynomials
Tue Dec 23 05:38:36 2008  attempting to build 52767 cycles
Tue Dec 23 05:38:36 2008  found 52767 cycles in 1 passes
Tue Dec 23 05:38:36 2008  distribution of cycle lengths:
Tue Dec 23 05:38:36 2008     length 1 : 26541
Tue Dec 23 05:38:36 2008     length 2 : 26226
Tue Dec 23 05:38:36 2008  largest cycle: 2 relations
Tue Dec 23 05:38:36 2008  matrix is 52647 x 52767 (8.0 MB) with weight 1682549 (31.89/col)
Tue Dec 23 05:38:36 2008  sparse part has weight 1682549 (31.89/col)
Tue Dec 23 05:38:37 2008  filtering completed in 3 passes
Tue Dec 23 05:38:37 2008  matrix is 38828 x 38887 (6.4 MB) with weight 1373197 (35.31/col)
Tue Dec 23 05:38:37 2008  sparse part has weight 1373197 (35.31/col)
Tue Dec 23 05:38:37 2008  saving the first 48 matrix rows for later
Tue Dec 23 05:38:37 2008  matrix is 38780 x 38887 (4.3 MB) with weight 1039749 (26.74/col)
Tue Dec 23 05:38:37 2008  sparse part has weight 747149 (19.21/col)
Tue Dec 23 05:38:37 2008  matrix includes 64 packed rows
Tue Dec 23 05:38:37 2008  using block size 15554 for processor cache size 1024 kB
Tue Dec 23 05:38:37 2008  commencing Lanczos iteration
Tue Dec 23 05:38:37 2008  memory use: 4.3 MB
Tue Dec 23 05:38:42 2008  lanczos halted after 615 iterations (dim = 38778)
Tue Dec 23 05:38:42 2008  recovered 17 nontrivial dependencies
Tue Dec 23 05:38:42 2008  prp39 factor: 435936853888932377299397412491753686571
Tue Dec 23 05:38:42 2008  prp45 factor: 104325299889160694313575763049847352543268633
Tue Dec 23 05:38:42 2008  elapsed time 00:22:51
software ソフトウェア
GMP-ECM 6.2.1, Msieve-1.39

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

38×10145+619

c110

name 名前Robert Backstrom
date 日付December 25, 2008 01:05:43 UTC 2008 年 12 月 25 日 (木) 10 時 5 分 43 秒 (日本時間)
composite number 合成数
10611436828906870090522936495968919633890384936146829850407470739275500463086914188108300526561796213920262163<110>
prime factors 素因数
959520805192593881541714464704553517162347<42>
11059100304528524565462268921955338143239467920276603381903889550329<68>
factorization results 素因数分解の結果
Number: n
N=10611436828906870090522936495968919633890384936146829850407470739275500463086914188108300526561796213920262163
  ( 110 digits)
SNFS difficulty: 146 digits.
Divisors found:

Thu Dec 25 11:57:28 2008  prp42 factor: 959520805192593881541714464704553517162347
Thu Dec 25 11:57:28 2008  prp68 factor: 11059100304528524565462268921955338143239467920276603381903889550329
Thu Dec 25 11:57:28 2008  elapsed time 00:35:41 (Msieve 1.39 - dependency 4)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 7.47 hours.
Scaled time: 13.66 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_4_2_144_9
n: 10611436828906870090522936495968919633890384936146829850407470739275500463086914188108300526561796213920262163
type: snfs
skew: 1.10
deg: 5
c5: 38
c0: 61
m: 100000000000000000000000000000
rlim: 1500000
alim: 1500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 1870001)
Primes: RFBsize:114155, AFBsize:114048, largePrimes:12063139 encountered
Relations: rels:11157151, finalFF:260073
Max relations in full relation-set: 28
Initial matrix: 228269 x 260073 with sparse part having weight 43425032.
Pruned matrix : 222316 x 223521 with weight 33941924.

Msieve: found 1169180 hash collisions in 12167702 relations
Msieve: matrix is 285178 x 285426 (74.7 MB)

Total sieving time: 7.09 hours.
Total relation processing time: 0.38 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1500000,1500000,28,28,56,56,2.5,2.5,100000
total time: 7.47 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 KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

38×10146+619

c142

name 名前Serge Batalov
date 日付December 23, 2008 15:30:14 UTC 2008 年 12 月 24 日 (水) 0 時 30 分 14 秒 (日本時間)
composite number 合成数
1324631203500651683693406439032280216667834433648700135914133222343181966331360678601593810207538336744258682347511418843854913841454891253007<142>
prime factors 素因数
29371295975761612541641795908618293<35>
45099515002463330270041583910624200505787042854484125648106218811048271349055997284919050293096397504594099<107>
factorization results 素因数分解の結果
SNFS difficulty: 147 digits.
Divisors found:
 r1=29371295975761612541641795908618293 (pp35)
 r2=45099515002463330270041583910624200505787042854484125648106218811048271349055997284919050293096397504594099 (pp107)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.950).
Factorization parameters were as follows:
n: 1324631203500651683693406439032280216667834433648700135914133222343181966331360678601593810207538336744258682347511418843854913841454891253007
m: 100000000000000000000000000000
deg: 5
c5: 380
c0: 61
skew: 0.69
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 2400001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 294682 x 294930
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,147,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,200000
total time: 6.00 hours.
software ソフトウェア
Msieve-1.39
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 KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

38×10147+619

c125

name 名前Sinkiti Sibata
date 日付December 24, 2008 22:52:46 UTC 2008 年 12 月 25 日 (木) 7 時 52 分 46 秒 (日本時間)
composite number 合成数
36240243768118729202943463309695426736944896402283016562377648348010345900851403545823189583259160747606835955616325055489499<125>
prime factors 素因数
390767166238674756702854534057738664529<39>
92741271271455106967496554922563178454113145520981313433082313450604481966509315597931<86>
factorization results 素因数分解の結果
Number: 42229_147
N=36240243768118729202943463309695426736944896402283016562377648348010345900851403545823189583259160747606835955616325055489499
  ( 125 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=390767166238674756702854534057738664529
 r2=92741271271455106967496554922563178454113145520981313433082313450604481966509315597931
Version: 
Total time: 11.97 hours.
Scaled time: 30.70 units (timescale=2.564).
Factorization parameters were as follows:
name: 42229_147
n: 36240243768118729202943463309695426736944896402283016562377648348010345900851403545823189583259160747606835955616325055489499
m: 200000000000000000000000000000
deg: 5
c5: 475
c0: 244
skew: 0.88
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1050000, 2550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 357888 x 358136
Total sieving time: 11.97 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,149,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 11.97 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 KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

38×10151+619

c128

name 名前Serge Batalov
date 日付December 23, 2008 13:18:05 UTC 2008 年 12 月 23 日 (火) 22 時 18 分 5 秒 (日本時間)
composite number 合成数
16452742092403031143101718927561735369567397548853730627299288645843883659820746271855946334793475548767105426860527001984564411<128>
prime factors 素因数
56185303161233834414804494597<29>
292829995865447732444269891383468434429946313251210428873631095088198685156325342448697256025078463<99>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3917450993
Step 1 took 9731ms
Step 2 took 10584ms
********** Factor found in step 2: 56185303161233834414804494597
Found probable prime factor of 29 digits: 56185303161233834414804494597
Probable prime cofactor 292829995865447732444269891383468434429946313251210428873631095088198685156325342448697256025078463 has 99 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 KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

38×10154+619

c148

name 名前Serge Batalov
date 日付December 23, 2008 18:42:17 UTC 2008 年 12 月 24 日 (水) 3 時 42 分 17 秒 (日本時間)
composite number 合成数
1066530878200582333156814053010519584177460948501779101207877934822484930669472630820726636637030327622259753443826100714526010508747662406389427073<148>
prime factors 素因数
15141979967594079491718919468985969669399230154355609013<56>
70435364495469228989127803857011940423160477324626942530227526262722573852534558759089710621<92>
factorization results 素因数分解の結果
SNFS difficulty: 156 digits.
Divisors found:
 r1=15141979967594079491718919468985969669399230154355609013 (pp56)
 r2=70435364495469228989127803857011940423160477324626942530227526262722573852534558759089710621 (pp92)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.307).
Factorization parameters were as follows:
n: 1066530878200582333156814053010519584177460948501779101207877934822484930669472630820726636637030327622259753443826100714526010508747662406389427073
m: 10000000000000000000000000000000
deg: 5
c5: 19
c0: 305
skew: 1.74
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [1400000, 2200001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 470528 x 470776
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,156,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,52,52,2.4,2.4,100000
total time: 17.00 hours.
software ソフトウェア
Msieve-1.39
execution environment 実行環境
Opteron-2.2GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

38×10156+619

c128

name 名前Sinkiti Sibata
date 日付December 26, 2008 09:25:31 UTC 2008 年 12 月 26 日 (金) 18 時 25 分 31 秒 (日本時間)
composite number 合成数
89657075732512441634943806879080168667130713554798202567148299186828703838676016744071926873134410604543640813584660148737563411<128>
prime factors 素因数
260143260050233689064483536734775966389994188398184680541<57>
344645007197955662990211669087773268820445474115533760904170023354945071<72>
factorization results 素因数分解の結果
Number: 42229_156
N=89657075732512441634943806879080168667130713554798202567148299186828703838676016744071926873134410604543640813584660148737563411
  ( 128 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=260143260050233689064483536734775966389994188398184680541
 r2=344645007197955662990211669087773268820445474115533760904170023354945071
Version: 
Total time: 30.26 hours.
Scaled time: 64.45 units (timescale=2.130).
Factorization parameters were as follows:
name: 42229_156
n: 89657075732512441634943806879080168667130713554798202567148299186828703838676016744071926873134410604543640813584660148737563411
m: 10000000000000000000000000000000
deg: 5
c5: 380
c0: 61
skew: 0.69
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1500000, 2600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 502089 x 502337
Total sieving time: 30.26 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,157,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 30.26 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 KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

38×10160+619

c134

name 名前Sinkiti Sibata
date 日付December 30, 2008 05:42:48 UTC 2008 年 12 月 30 日 (火) 14 時 42 分 48 秒 (日本時間)
composite number 合成数
74810129373359309205942545336184834206171738221787981982172320932093334776011501165482249537046287347382671874753603894353824973070373<134>
prime factors 素因数
297509719742290474139330475588728831273006432555451274399<57>
251454404374289030062001456994792487277578746400523774726284481964757292298427<78>
factorization results 素因数分解の結果
Number: 42229_160
N=74810129373359309205942545336184834206171738221787981982172320932093334776011501165482249537046287347382671874753603894353824973070373
  ( 134 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=297509719742290474139330475588728831273006432555451274399
 r2=251454404374289030062001456994792487277578746400523774726284481964757292298427
Version: 
Total time: 31.41 hours.
Scaled time: 80.23 units (timescale=2.554).
Factorization parameters were as follows:
name: 42229_160
n: 74810129373359309205942545336184834206171738221787981982172320932093334776011501165482249537046287347382671874753603894353824973070373
m: 100000000000000000000000000000000
deg: 5
c5: 38
c0: 61
skew: 1.10
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1750000, 2950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 678025 x 678273
Total sieving time: 31.41 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,161,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 31.41 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 KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

38×10164+619

c123

name 名前Jo Yeong Uk
date 日付February 28, 2009 06:54:02 UTC 2009 年 2 月 28 日 (土) 15 時 54 分 2 秒 (日本時間)
composite number 合成数
338234699718451915584474464557708031138343751984940684675044970600595111547260673187174469507135439903150655763704612828167<123>
prime factors 素因数
1424218554316875399625038392232057599399988443713<49>
237487918334757094139099263647007383687709373624089339742165459109156850759<75>
factorization results 素因数分解の結果
Number: 42229_164
N=338234699718451915584474464557708031138343751984940684675044970600595111547260673187174469507135439903150655763704612828167
  ( 123 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=1424218554316875399625038392232057599399988443713
 r2=237487918334757094139099263647007383687709373624089339742165459109156850759
Version: 
Total time: 20.50 hours.
Scaled time: 48.82 units (timescale=2.382).
Factorization parameters were as follows:
n: 338234699718451915584474464557708031138343751984940684675044970600595111547260673187174469507135439903150655763704612828167
m: 1000000000000000000000000000000000
deg: 5
c5: 19
c0: 305
skew: 1.74
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2300000, 3900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9507815
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 752528 x 752776
Total sieving time: 18.30 hours.
Total relation processing time: 0.77 hours.
Matrix solve time: 1.26 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,51,51,2.4,2.4,100000
total time: 20.50 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047004k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673797)
Calibrating delay using timer specific routine.. 5148.57 BogoMIPS (lpj=2574285)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672337)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672389)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkFebruary 1, 2009 02:15:13 UTC 2009 年 2 月 1 日 (日) 11 時 15 分 13 秒 (日本時間)

38×10166+619

c148

name 名前Ignacio Santos
date 日付March 15, 2009 13:35:34 UTC 2009 年 3 月 15 日 (日) 22 時 35 分 34 秒 (日本時間)
composite number 合成数
2342656058320971136078914378894172103407965837435963776301999121838755344379699057145088347325698602189976417552725256631608747785795775281145818529<148>
prime factors 素因数
21542209814132096929259164948657660906663<41>
108747249169588185424876695250126633643543443939403426766972201603072209923897950037118523330042709677118583<108>
factorization results 素因数分解の結果
Number: 42229_166
N=2342656058320971136078914378894172103407965837435963776301999121838755344379699057145088347325698602189976417552725256631608747785795775281145818529
  ( 148 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=21542209814132096929259164948657660906663 (pp41)
 r2=108747249169588185424876695250126633643543443939403426766972201603072209923897950037118523330042709677118583 (pp108)
Version: Msieve-1.39
Total time: 44.29 hours.
Scaled time: 114.32 units (timescale=2.581).
Factorization parameters were as follows:
n: 2342656058320971136078914378894172103407965837435963776301999121838755344379699057145088347325698602189976417552725256631608747785795775281145818529
m: 1000000000000000000000000000000000
deg: 5
c5: 380
c0: 61
skew: 0.69
type: snfs
lss: 1
rlim: 4300000
alim: 4300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4300000/4300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2150000, 4350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 831110 x 831358
Total sieving time: 44.29 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,167,5,0,0,0,0,0,0,0,0,4300000,4300000,27,27,51,51,2.4,2.4,100000
total time: 44.29 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

38×10170+619

c146

name 名前Markus Tervooren
date 日付September 24, 2009 16:14:27 UTC 2009 年 9 月 25 日 (金) 1 時 14 分 27 秒 (日本時間)
composite number 合成数
35448595902426381689814754249814433581331280418318339807608728957850624199532445178670719626970890252637535566455445691961293138457991395054272643<146>
prime factors 素因数
112571824006096729158420064343072159842458593951521181965941557<63>
314897588409925172578173765266062287127679189995340781348626644393883516585549040599<84>
factorization results 素因数分解の結果
Another experiment, this time it was a really bad choice:

rlim: 6000000
alim: 6000000
lpbr: 28
lpba: 28
mfbr: 47
mfba: 47
rlambda: 2.6
alambda: 2.6

~65 Hours sieve time, 10M rels.

Msieve v. 1.42
Thu Sep 24 17:26:59 2009
random seeds: 9382ecfa 81315f41
factoring 35448595902426381689814754249814433581331280418318339807608728957850624199532445178670719626970890252637535566455445691961293138457991395054272643 (146 digits)
searching for 15-digit factors
commencing number field sieve (146-digit input)
R0: -10000000000000000000000000000000000
R1:  1
A0:  61
A1:  0
A2:  0
A3:  0
A4:  0
A5:  38
skew 1.10, size 6.368856e-12, alpha 0.160832, combined = 2.502776e-10

commencing relation filtering
estimated available RAM is 8010.2 MB
commencing duplicate removal, pass 1
found 1023559 hash collisions in 9955173 relations
added 220533 free relations
commencing duplicate removal, pass 2
found 844550 duplicates and 9331156 unique relations
memory use: 49.3 MB
reading ideals above 100000
commencing singleton removal, initial pass
memory use: 266.4 MB
reading all ideals from disk
memory use: 332.7 MB
keeping 12217529 ideals with weight <= 200, target excess is 53180
commencing in-memory singleton removal
begin with 9331156 relations and 12217529 unique ideals
reduce to 2115084 relations and 2019675 ideals in 13 passes
max relations containing the same ideal: 74
removing 120615 relations and 103755 ideals in 16860 cliques
commencing in-memory singleton removal
begin with 1994469 relations and 2019675 unique ideals
reduce to 1991343 relations and 1912754 ideals in 6 passes
max relations containing the same ideal: 71
removing 91079 relations and 74219 ideals in 16860 cliques
commencing in-memory singleton removal
begin with 1900264 relations and 1912754 unique ideals
reduce to 1898231 relations and 1836483 ideals in 5 passes
max relations containing the same ideal: 69
relations with 0 large ideals: 1229
relations with 1 large ideals: 460
relations with 2 large ideals: 6558
relations with 3 large ideals: 46287
relations with 4 large ideals: 173673
relations with 5 large ideals: 381617
relations with 6 large ideals: 540247
relations with 7+ large ideals: 748160
commencing 2-way merge
reduce to 1231937 relation sets and 1170189 unique ideals
commencing full merge
memory use: 156.4 MB
found 664544 cycles, need 656389
weight of 656389 cycles is about 46150723 (70.31/cycle)
distribution of cycle lengths:
1 relations: 49537
2 relations: 73714
3 relations: 83423
4 relations: 78374
5 relations: 71572
6 relations: 61363
7 relations: 51337
8 relations: 42368
9 relations: 34711
10+ relations: 109990
heaviest cycle: 20 relations
commencing cycle optimization
start with 3854757 relations
pruned 112168 relations
memory use: 119.1 MB
distribution of cycle lengths:
1 relations: 49537
2 relations: 75523
3 relations: 86761
4 relations: 80833
5 relations: 73657
6 relations: 62299
7 relations: 51926
8 relations: 42154
9 relations: 34237
10+ relations: 99462
heaviest cycle: 20 relations
RelProcTime: 251

commencing linear algebra
read 656389 cycles
cycles contain 1863372 unique relations
read 1863372 relations
using 20 quadratic characters above 536545832
building initial matrix
memory use: 241.4 MB
read 656389 cycles
matrix is 656212 x 656389 (196.5 MB) with weight 59521673 (90.68/col)
sparse part has weight 44280835 (67.46/col)
filtering completed in 2 passes
matrix is 656066 x 656243 (196.4 MB) with weight 59515687 (90.69/col)
sparse part has weight 44278419 (67.47/col)
read 656243 cycles
matrix is 656066 x 656243 (196.4 MB) with weight 59515687 (90.69/col)
sparse part has weight 44278419 (67.47/col)
saving the first 48 matrix rows for later
matrix is 656018 x 656243 (186.1 MB) with weight 46692234 (71.15/col)
sparse part has weight 42211934 (64.32/col)
matrix includes 64 packed rows
using block size 65536 for processor cache size 4096 kB
commencing Lanczos iteration (4 threads)
memory use: 196.3 MB
linear algebra completed 655925 of 656243 dimensions (100.0%, ETA 0h 0m)
lanczos halted after 10376 iterations (dim = 656018)
recovered 39 nontrivial dependencies
BLanczosTime: 2244

commencing square root phase
reading relations for dependency 1
read 327915 cycles
cycles contain 1156352 unique relations
read 1156352 relations
multiplying 930682 relations
multiply complete, coefficients have about 25.51 million bits
initial square root is modulo 21184151
reading relations for dependency 2
read 328610 cycles
cycles contain 1158712 unique relations
read 1158712 relations
multiplying 933210 relations
multiply complete, coefficients have about 25.58 million bits
initial square root is modulo 22136071
sqrtTime: 331
prp63 factor: 112571824006096729158420064343072159842458593951521181965941557
prp84 factor: 314897588409925172578173765266062287127679189995340781348626644393883516585549040599
elapsed time 00:47:07

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)
351e60--
403e62500Dmitry DomanovJune 13, 2009 20:07:21 UTC 2009 年 6 月 14 日 (日) 5 時 7 分 21 秒 (日本時間)

38×10171+619

c170

name 名前Ignacio Santos
date 日付January 25, 2009 12:03:04 UTC 2009 年 1 月 25 日 (日) 21 時 3 分 4 秒 (日本時間)
composite number 合成数
32230703986429177268871925360474978795589482612383375742154368108566581849024597116200169635284139100932994062765055131467345207803223070398642917726887192536047497879559<170>
prime factors 素因数
19656586353109644988628428880782557935174813548674463961<56>
1639689791881402852262937784707669473345717597586097018290930889928565528828480997000727743404647721038578540516319<115>
factorization results 素因数分解の結果
Number: 42229_171
N=32230703986429177268871925360474978795589482612383375742154368108566581849024597116200169635284139100932994062765055131467345207803223070398642917726887192536047497879559
  ( 170 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=19656586353109644988628428880782557935174813548674463961 (pp56)
 r2=1639689791881402852262937784707669473345717597586097018290930889928565528828480997000727743404647721038578540516319 (pp115)
Version: Msieve-1.39
Total time: 69.27 hours.
Scaled time: 178.36 units (timescale=2.575).
Factorization parameters were as follows:
n: 32230703986429177268871925360474978795589482612383375742154368108566581849024597116200169635284139100932994062765055131467345207803223070398642917726887192536047497879559
m: 10000000000000000000000000000000000
deg: 5
c5: 380
c0: 61
skew: 0.69
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2650000, 5950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 984707 x 984955
Total sieving time: 69.27 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,172,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
total time: 69.27 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve
execution environment 実行環境
Q6600

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)
351e6825Erik BrangerJanuary 27, 2009 14:35:20 UTC 2009 年 1 月 27 日 (火) 23 時 35 分 20 秒 (日本時間)
403e6200 / 2111Erik BrangerJanuary 27, 2009 14:35:20 UTC 2009 年 1 月 27 日 (火) 23 時 35 分 20 秒 (日本時間)

38×10172+619

c148

name 名前Wataru Sakai
date 日付June 5, 2010 06:17:36 UTC 2010 年 6 月 5 日 (土) 15 時 17 分 36 秒 (日本時間)
composite number 合成数
2261134560607051504387941971176084913960194168214095110628422626773561835181015224642359416543689088797422748589084115026648756485635631752560077857<148>
prime factors 素因数
18913281437497540976285948521580337669277486061522956864684667<62>
119552736952569100551840085580259327952640518096801888503661519787400289310954929399571<87>
factorization results 素因数分解の結果
Number: 42229_172
N=2261134560607051504387941971176084913960194168214095110628422626773561835181015224642359416543689088797422748589084115026648756485635631752560077857
  ( 148 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=18913281437497540976285948521580337669277486061522956864684667
 r2=119552736952569100551840085580259327952640518096801888503661519787400289310954929399571
Version: 
Total time: 103.28 hours.
Scaled time: 207.91 units (timescale=2.013).
Factorization parameters were as follows:
n: 2261134560607051504387941971176084913960194168214095110628422626773561835181015224642359416543689088797422748589084115026648756485635631752560077857
m: 10000000000000000000000000000000000
deg: 5
c5: 3800
c0: 61
skew: 0.44
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2750000, 6350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 851364 x 851612
Total sieving time: 103.28 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,173,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
total time: 103.28 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 KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)
351e6825Wataru SakaiSeptember 10, 2009 10:47:25 UTC 2009 年 9 月 10 日 (木) 19 時 47 分 25 秒 (日本時間)
403e62111Wataru SakaiFebruary 24, 2010 04:38:16 UTC 2010 年 2 月 24 日 (水) 13 時 38 分 16 秒 (日本時間)

38×10174+619

c156

name 名前Serge Batalov
date 日付December 23, 2008 22:24:31 UTC 2008 年 12 月 24 日 (水) 7 時 24 分 31 秒 (日本時間)
composite number 合成数
498727733803343985916406686201817868858095399499824927632144691405835061507408671345607564879143056748707454316376271231698022757926530573505128899826581019<156>
prime factors 素因数
262088313569048659823633945899080702035203<42>
composite cofactor 合成数の残り
1902899549437374369035951375932780225773552267114939321874434723505133347794160411662937567103887497100312817310473<115>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=113264461
Step 1 took 13984ms
Step 2 took 13062ms
********** Factor found in step 2: 262088313569048659823633945899080702035203
Found probable prime factor of 42 digits: 262088313569048659823633945899080702035203
Composite cofactor has 115 digits
software ソフトウェア
GMP-ECM 6.2.1

c115

name 名前Jo Yeong Uk
date 日付January 9, 2009 07:39:55 UTC 2009 年 1 月 9 日 (金) 16 時 39 分 55 秒 (日本時間)
composite number 合成数
1902899549437374369035951375932780225773552267114939321874434723505133347794160411662937567103887497100312817310473<115>
prime factors 素因数
225417303760371613051787015751701<33>
3509660100567937909308937499352854860151<40>
2405268446283875882037061284565419763257923<43>
factorization results 素因数分解の結果
Number: 42229_174
N=1902899549437374369035951375932780225773552267114939321874434723505133347794160411662937567103887497100312817310473
  ( 115 digits)
Divisors found:
 r1=225417303760371613051787015751701
 r2=3509660100567937909308937499352854860151
 r3=2405268446283875882037061284565419763257923
Version: 
Total time: 15.58 hours.
Scaled time: 37.20 units (timescale=2.388).
Factorization parameters were as follows:
name: 42229_174
n: 1902899549437374369035951375932780225773552267114939321874434723505133347794160411662937567103887497100312817310473
skew: 13305.32
# norm 1.25e+15
c5: 34380
c4: -7761979098
c3: -40170364027258
c2: 1216859679370801634
c1: 2137936139042537055913
c0: -37443904713974567970199586
# alpha -5.26
Y1: 2839122733007
Y0: -8884403306900197748349
# Murphy_E 6.23e-10
# M 1013688461298236633418369179942359190638312815538318044515649165909945628291609200031522087797218085581150778639140
type: gnfs
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.6
alambda: 2.6
qintsize: 70000
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [1400000, 2450001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9217367
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 514466 x 514714
Polynomial selection time: 1.35 hours.
Total sieving time: 12.39 hours.
Total relation processing time: 0.66 hours.
Matrix solve time: 0.56 hours.
Time per square root: 0.61 hours.
Prototype def-par.txt line would be:
gnfs,114,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2800000,2800000,27,27,52,52,2.6,2.6,70000
total time: 15.58 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046968k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.61 BogoMIPS (lpj=2673805)
Calibrating delay using timer specific routine.. 5344.84 BogoMIPS (lpj=2672421)
Calibrating delay using timer specific routine.. 5344.41 BogoMIPS (lpj=2672207)
Calibrating delay using timer specific routine.. 5291.27 BogoMIPS (lpj=2645639)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

38×10175+619

c171

name 名前Serge Batalov
date 日付December 23, 2008 13:37:29 UTC 2008 年 12 月 23 日 (火) 22 時 37 分 29 秒 (日本時間)
composite number 合成数
123954420002589994986369906737346781735511930123631486118899036841536995664531062488358885884625183036641905140291938754773468404507635102978396375572759124268546598543927<171>
prime factors 素因数
1740394642983557583386337035393<31>
composite cofactor 合成数の残り
71222018811833964655417651567953033432448526235056638873220031832622185237876237006720634532335848847765089902608605674576837157124980845239<140>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=205899236
Step 1 took 13705ms
********** Factor found in step 1: 1740394642983557583386337035393
Found probable prime factor of 31 digits: 1740394642983557583386337035393
Composite cofactor has 140 digits
software ソフトウェア
GMP-ECM 6.2.1

c140

name 名前Warut Roonguthai
date 日付December 28, 2011 16:40:00 UTC 2011 年 12 月 29 日 (木) 1 時 40 分 0 秒 (日本時間)
composite number 合成数
71222018811833964655417651567953033432448526235056638873220031832622185237876237006720634532335848847765089902608605674576837157124980845239<140>
prime factors 素因数
2092635534714621720979489249970548027344328637398040654719782980561<67>
34034602600565463958210966404847818480254462944708367841963187097783457799<74>
factorization results 素因数分解の結果
N = 71222018811833964655417651567953033432448526235056638873220031832622185237876237006720634532335848847765089902608605674576837157124980845239 (140 digits)
SNFS difficulty: 177 digits.
Divisors found:
r1=2092635534714621720979489249970548027344328637398040654719782980561 (pp67)
r2=34034602600565463958210966404847818480254462944708367841963187097783457799 (pp74)
Version: Msieve v. 1.48
Total time: 32.17 hours.
Factorization parameters were as follows:
name: (38*10^175+61)/9
n: 71222018811833964655417651567953033432448526235056638873220031832622185237876237006720634532335848847765089902608605674576837157124980845239
Y0: 100000000000000000000000000000000000
Y1: -1
c0: 61
c1: 0
c2: 0
c3: 0
c4: 0
c5: 38
skew: 1.10
type: snfs
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 20005639
Relations: 2540210 relations
Pruned matrix : 1420343 x 1420568
Polynomial selection time: 0.00 hours.
Total sieving time: 29.24 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 2.66 hours.
time per square root: 0.14 hours.
Prototype def-par.txt line would be: snfs,177,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,55,55,2.5,2.5,100000
total time: 32.17 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosMay 11, 2011 22:07:57 UTC 2011 年 5 月 12 日 (木) 7 時 7 分 57 秒 (日本時間)
403e62144110Ignacio SantosMay 11, 2011 22:07:57 UTC 2011 年 5 月 12 日 (木) 7 時 7 分 57 秒 (日本時間)
2034Wataru SakaiMay 15, 2011 05:29:44 UTC 2011 年 5 月 15 日 (日) 14 時 29 分 44 秒 (日本時間)
4511e6403232Ignacio SantosMay 11, 2011 22:07:57 UTC 2011 年 5 月 12 日 (木) 7 時 7 分 57 秒 (日本時間)
4000Wataru SakaiSeptember 1, 2011 06:18:21 UTC 2011 年 9 月 1 日 (木) 15 時 18 分 21 秒 (日本時間)

38×10179+619

c151

name 名前Dmitry Domanov
date 日付August 1, 2013 13:40:56 UTC 2013 年 8 月 1 日 (木) 22 時 40 分 56 秒 (日本時間)
composite number 合成数
3628836794173977247579716346613323064780861062923611917498395307580815715493648117565001027707713598345817127955454427256173845575540075363892532322313<151>
prime factors 素因数
7107720184031147881053820853867764561212472508773<49>
510548628845414145754200395835416299535462823690758436726935390616482646789498317905465258231361792981<102>
factorization results 素因数分解の結果
SNFS difficulty: 181 digits.
Divisors found:
 r1=7107720184031147881053820853867764561212472508773 (pp49)
 r2=510548628845414145754200395835416299535462823690758436726935390616482646789498317905465258231361792981 (pp102)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 95.34 hours.
Scaled time: 183.52 units (timescale=1.925).
Factorization parameters were as follows:
n: 3628836794173977247579716346613323064780861062923611917498395307580815715493648117565001027707713598345817127955454427256173845575540075363892532322313
m: 1000000000000000000000000000000000000
deg: 5
c5: 19
c0: 305
skew: 1.74
# Murphy_E = 1.031e-10
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3700000, 8500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1400040 x 1400266
Total sieving time: 92.66 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 2.33 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,100000
total time: 95.34 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 KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosMay 11, 2011 22:28:03 UTC 2011 年 5 月 12 日 (木) 7 時 28 分 3 秒 (日本時間)
403e6110Ignacio SantosMay 11, 2011 22:28:03 UTC 2011 年 5 月 12 日 (木) 7 時 28 分 3 秒 (日本時間)
4511e6632 / 444132Ignacio SantosMay 11, 2011 22:28:03 UTC 2011 年 5 月 12 日 (木) 7 時 28 分 3 秒 (日本時間)
600Rich DickersonJune 12, 2012 13:13:18 UTC 2012 年 6 月 12 日 (火) 22 時 13 分 18 秒 (日本時間)

38×10180+619

c141

name 名前Serge Batalov
date 日付December 23, 2008 13:36:02 UTC 2008 年 12 月 23 日 (火) 22 時 36 分 2 秒 (日本時間)
composite number 合成数
149806195179666546045418714927308917213082594657311677426197251125331997975561032325095340574348603875703741955258545576847243694976108719443<141>
prime factors 素因数
37615930741760579786512667771617<32>
3982519964961393426250352239850021980260372565021485335616685544317069003492639457212340339450474841652800179<109>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1328187747
Step 1 took 11835ms
Step 2 took 11587ms
********** Factor found in step 2: 37615930741760579786512667771617
Found probable prime factor of 32 digits: 37615930741760579786512667771617
Probable prime cofactor 3982519964961393426250352239850021980260372565021485335616685544317069003492639457212340339450474841652800179 has 109 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 KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

38×10183+619

c160

name 名前matsui
date 日付September 24, 2010 09:49:17 UTC 2010 年 9 月 24 日 (金) 18 時 49 分 17 秒 (日本時間)
composite number 合成数
1402125405761612860351616257709245219840041248615866717087577765883343435937946578531484617237542530845919397991516562760217002795866068691088898358790418472091<160>
prime factors 素因数
1396808187387978485651646818396562671787334521497276902513770127522388139929<76>
1003806691871972440087179371177983030989990614060701616927946469483055935785203191379<85>
factorization results 素因数分解の結果
N=1402125405761612860351616257709245219840041248615866717087577765883343435937946578531484617237542530845919397991516562760217002795866068691088898358790418472091
  ( 160 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=1396808187387978485651646818396562671787334521497276902513770127522388139929 (pp76)
 r2=1003806691871972440087179371177983030989990614060701616927946469483055935785203191379 (pp85)
Version: Msieve v. 1.47
Total time:
Scaled time: 24.96 units (timescale=1.213).
Factorization parameters were as follows:
n: 1402125405761612860351616257709245219840041248615866717087577765883343435937946578531484617237542530845919397991516562760217002795866068691088898358790418472091
m: 1000000000000000000000000000000000000
deg: 5
c5: 38000
c0: 61
skew: 0.28
type: snfs
lss: 1
rlim: 8300000
alim: 8300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 300000
Factor base limits: 8300000/8300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4150000, 10150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1682646 x 1682872
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,184.000,5,0,0,0,0,0,0,0,0,8300000,8300000,28,28,54,54,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

38×10184+619

c160

name 名前Dmitry Domanov
date 日付August 13, 2013 08:05:13 UTC 2013 年 8 月 13 日 (火) 17 時 5 分 13 秒 (日本時間)
composite number 合成数
3620826100853259415252318971357020175864675117030340440712921114729603535046371223983128510266251920216465259296120116823117977222927455667283580650811506205941<160>
prime factors 素因数
946343874368294038865936276865636795043639031<45>
3826120925937458846222040856132913189206986159461815363775448604598864084177392397325186661813674702711667114218611<115>
factorization results 素因数分解の結果
N=3620826100853259415252318971357020175864675117030340440712921114729603535046371223983128510266251920216465259296120116823117977222927455667283580650811506205941
  ( 160 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=946343874368294038865936276865636795043639031 (pp45)
 r2=3826120925937458846222040856132913189206986159461815363775448604598864084177392397325186661813674702711667114218611 (pp115)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 141.62 hours.
Scaled time: 272.47 units (timescale=1.924).
Factorization parameters were as follows:
n: 3620826100853259415252318971357020175864675117030340440712921114729603535046371223983128510266251920216465259296120116823117977222927455667283580650811506205941
m: 10000000000000000000000000000000000000
deg: 5
c5: 19
c0: 305
skew: 1.74
# Murphy_E = 6.465e-11
type: snfs
lss: 1
rlim: 8900000
alim: 8900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 8900000/8900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4450000, 11250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1797234 x 1797464
Total sieving time: 137.83 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 3.45 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,186.000,5,0,0,0,0,0,0,0,0,8900000,8900000,28,28,54,54,2.5,2.5,100000
total time: 141.62 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 KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosMay 12, 2011 12:48:08 UTC 2011 年 5 月 12 日 (木) 21 時 48 分 8 秒 (日本時間)
403e6110 / 2144Ignacio SantosMay 12, 2011 12:48:08 UTC 2011 年 5 月 12 日 (木) 21 時 48 分 8 秒 (日本時間)
4511e632 / 4441Ignacio SantosMay 12, 2011 12:48:08 UTC 2011 年 5 月 12 日 (木) 21 時 48 分 8 秒 (日本時間)

38×10186+619

c186

name 名前Sinkiti Sibata
date 日付January 11, 2009 21:01:33 UTC 2009 年 1 月 12 日 (月) 6 時 1 分 33 秒 (日本時間)
composite number 合成数
383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383839<186>
prime factors 素因数
13933545557012191347373389258569209249638126493880758322318981598763635852951224089<83>
27547789775963625085903934524733271215585771546540325688065243371806745946230760472112031271164240237751<104>
factorization results 素因数分解の結果
Number: 42229_186
N=383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383839
  ( 186 digits)
SNFS difficulty: 187 digits.
Divisors found:
 r1=13933545557012191347373389258569209249638126493880758322318981598763635852951224089
 r2=27547789775963625085903934524733271215585771546540325688065243371806745946230760472112031271164240237751
Version: 
Total time: 289.16 hours.
Scaled time: 729.85 units (timescale=2.524).
Factorization parameters were as follows:
name: 42229_186
n: 383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383839
m: 10000000000000000000000000000000000000
deg: 5
c5: 380
c0: 61
skew: 0.69
type: snfs
lss: 1
rlim: 9400000
alim: 9400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9400000/9400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4700000, 8500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1786141 x 1786389
Total sieving time: 289.16 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,187,5,0,0,0,0,0,0,0,0,9400000,9400000,28,28,54,54,2.5,2.5,100000
total time: 289.16 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

38×10187+619

c118

name 名前Jo Yeong Uk
date 日付January 11, 2009 07:43:54 UTC 2009 年 1 月 11 日 (日) 16 時 43 分 54 秒 (日本時間)
composite number 合成数
2002829236485565584268140691732974433612639511098407138412154547996959651462215442914520265753338661383557778924870801<118>
prime factors 素因数
50967802797581625985097478423989003403541<41>
39295969740735967852621112679477369452786973644518223666651441987423587742861<77>
factorization results 素因数分解の結果
Number: 42229_187
N=2002829236485565584268140691732974433612639511098407138412154547996959651462215442914520265753338661383557778924870801
  ( 118 digits)
Divisors found:
 r1=50967802797581625985097478423989003403541
 r2=39295969740735967852621112679477369452786973644518223666651441987423587742861
Version: 
Total time: 20.95 hours.
Scaled time: 50.10 units (timescale=2.392).
Factorization parameters were as follows:
name: 42229_187
n: 2002829236485565584268140691732974433612639511098407138412154547996959651462215442914520265753338661383557778924870801
skew: 50181.87
# norm 2.28e+16
c5: 50940
c4: 19532943756
c3: -146582757507473
c2: -47355629610985993948
c1: 532654329772897813291676
c0: -41567750101170860235893120
# alpha -6.32
Y1: 7973840395103
Y0: -33030029096995216166631
# Murphy_E 3.85e-10
# M 316121329102452193654767749257544142231626197662659818279564247885496932610354662673936415656052558511673138286534187
type: gnfs
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [2000000, 3500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9431831
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 581575 x 581823
Polynomial selection time: 1.99 hours.
Total sieving time: 17.45 hours.
Total relation processing time: 0.69 hours.
Matrix solve time: 0.69 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
gnfs,117,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4000000,4000000,27,27,52,52,2.4,2.4,100000
total time: 20.95 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046968k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.61 BogoMIPS (lpj=2673805)
Calibrating delay using timer specific routine.. 5344.84 BogoMIPS (lpj=2672421)
Calibrating delay using timer specific routine.. 5344.41 BogoMIPS (lpj=2672207)
Calibrating delay using timer specific routine.. 5291.27 BogoMIPS (lpj=2645639)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

38×10188+619

c152

composite cofactor 合成数の残り
50328970353929123260150603510261621389037722290276598289127704164091360320570781414189111730065169182348034470566607823158409987517776864039786778743147<152>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosMay 12, 2011 12:49:11 UTC 2011 年 5 月 12 日 (木) 21 時 49 分 11 秒 (日本時間)
403e61610110Ignacio SantosMay 12, 2011 12:49:11 UTC 2011 年 5 月 12 日 (木) 21 時 49 分 11 秒 (日本時間)
1500Dmitry DomanovAugust 27, 2013 13:48:11 UTC 2013 年 8 月 27 日 (火) 22 時 48 分 11 秒 (日本時間)
4511e6832 / 410932Ignacio SantosMay 12, 2011 12:49:11 UTC 2011 年 5 月 12 日 (木) 21 時 49 分 11 秒 (日本時間)
500Dmitry DomanovAugust 27, 2013 13:48:11 UTC 2013 年 8 月 27 日 (火) 22 時 48 分 11 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:08 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 8 秒 (日本時間)

38×10189+619

c144

name 名前Jason Parker-Burlingham
date 日付July 19, 2018 19:48:47 UTC 2018 年 7 月 20 日 (金) 4 時 48 分 47 秒 (日本時間)
composite number 合成数
783034126990707713927933709106897056760413590587902824800190946124508962739224136756288881783968699293843604328012615358083102883455448710350197<144>
prime factors 素因数
35608322439949889018069284333894662675414920512258259710309410519743<68>
21990199855980906031010698591397291928930859090010544525318896013685615333579<77>
factorization results 素因数分解の結果
n: 783034126990707713927933709106897056760413590587902824800190946124508962739224136756288881783968699293843604328012615358083102883455448710350197
skew: 230692.04
c0: -19841313565853588932259823424640
c1: -969992035047113738267645096
c2: -14127216308719060944325
c3: 49394939173565408
c4: 117303500124
c5: 110160
Y0: -7147963421742884336462328437
Y1: 911371185563523906713
# MurphyE (Bf=2.000e+07,Bg=1.000e+07,area=6.711e+14) = 4.11e-10
# found by revision 29a7a7cc3
# f(x) = 110160*x^5+117303500124*x^4+49394939173565408*x^3-14127216308719060944325*x^2-969992035047113738267645096*x-19841313565853588932259823424640
# g(x) = 911371185563523906713*x-7147963421742884336462328437

Info:Square Root: Total cpu/real time for sqrt: 4263.25/605.581
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 77228.6
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 78560/43.920/51.870/57.550/0.932
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 78560/41.730/46.501/52.660/1.315
Info:Polynomial Selection (size optimized): Total time: 43284
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1721.08
Info:Polynomial Selection (root optimized): Rootsieve time: 1720.38
Info:Generate Factor Base: Total cpu/real time for makefb: 23.75/6.73655
Info:Generate Free Relations: Total cpu/real time for freerel: 600.55/85.803
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 46602592
Info:Lattice Sieving: Average J: 3796.49 for 843749 special-q, max bucket fill -bkmult 1.0,1s:1.305700
Info:Lattice Sieving: Total time: 539317s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 230.31/251.635
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 249.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 2160.99/1174.1
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 987.3000000000001s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 2104.42/1001.57
Info:Filtering - Merging: Total cpu/real time for merge: 5535.45/5317.93
Info:Filtering - Merging: Total cpu/real time for replay: 430.86/442.995
Info:Linear Algebra: Total cpu/real time for bwc: 169339/23467.3
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 14759.69, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (102000 iterations)
Info:Linear Algebra: Lingen CPU time 420.62, WCT time 78.53
Info:Linear Algebra: Mksol: WCT time 8622.65, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (51000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 139.11/35.0816
Info:Square Root: Total cpu/real time for sqrt: 4263.25/605.581
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 2.32e+06/60202.5
35608322439949889018069284333894662675414920512258259710309410519743 21990199855980906031010698591397291928930859090010544525318896013685615333579
software ソフトウェア
CADO-NFS 3.0.0 (revision 29a7a7cc3)
execution environment 実行環境
6 machines with AMD Ryzen 7 1700X Eight-Core Processor and 64GB RAM running Debian 9.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosMay 12, 2011 12:49:34 UTC 2011 年 5 月 12 日 (木) 21 時 49 分 34 秒 (日本時間)
403e61610110Ignacio SantosMay 12, 2011 12:49:34 UTC 2011 年 5 月 12 日 (木) 21 時 49 分 34 秒 (日本時間)
1500Dmitry DomanovAugust 27, 2013 13:48:25 UTC 2013 年 8 月 27 日 (火) 22 時 48 分 25 秒 (日本時間)
4511e6411232Ignacio SantosMay 12, 2011 12:49:34 UTC 2011 年 5 月 12 日 (木) 21 時 49 分 34 秒 (日本時間)
500Dmitry DomanovAugust 27, 2013 13:48:25 UTC 2013 年 8 月 27 日 (火) 22 時 48 分 25 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:09 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 9 秒 (日本時間)
3280Jason Parker-BurlinghamJanuary 15, 2018 01:14:43 UTC 2018 年 1 月 15 日 (月) 10 時 14 分 43 秒 (日本時間)
5043e617360Jason Parker-BurlinghamJuly 14, 2018 14:28:34 UTC 2018 年 7 月 14 日 (土) 23 時 28 分 34 秒 (日本時間)

38×10193+619

c157

composite cofactor 合成数の残り
1170621516828999915752811428621643260008689016980740323033377436641577186588977125042505014309307950029648115601222737074851190822958411727624029014953046163<157>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosMay 12, 2011 12:50:02 UTC 2011 年 5 月 12 日 (木) 21 時 50 分 2 秒 (日本時間)
403e61610110Ignacio SantosMay 12, 2011 12:50:02 UTC 2011 年 5 月 12 日 (木) 21 時 50 分 2 秒 (日本時間)
1500Dmitry DomanovAugust 27, 2013 13:48:40 UTC 2013 年 8 月 27 日 (火) 22 時 48 分 40 秒 (日本時間)
4511e6832 / 410932Ignacio SantosMay 12, 2011 12:50:02 UTC 2011 年 5 月 12 日 (木) 21 時 50 分 2 秒 (日本時間)
500Dmitry DomanovAugust 27, 2013 13:48:40 UTC 2013 年 8 月 27 日 (火) 22 時 48 分 40 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:09 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 9 秒 (日本時間)

38×10195+619

c196

name 名前Wataru Sakai
date 日付January 6, 2009 14:05:48 UTC 2009 年 1 月 6 日 (火) 23 時 5 分 48 秒 (日本時間)
composite number 合成数
4222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229<196>
prime factors 素因数
115667220018910122248194085154980724584857915458079192026711121<63>
36503187519609639479341262940543033550745399336765316360179329732149272103637012814543123192279806906800310222096607380858092086521349<134>
factorization results 素因数分解の結果
Number: 42229_195
N=4222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229
  ( 196 digits)
SNFS difficulty: 196 digits.
Divisors found:
 r1=115667220018910122248194085154980724584857915458079192026711121
 r2=36503187519609639479341262940543033550745399336765316360179329732149272103637012814543123192279806906800310222096607380858092086521349
Version: 
Total time: 671.52 hours.
Scaled time: 1286.64 units (timescale=1.916).
Factorization parameters were as follows:
n: 4222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229
m: 1000000000000000000000000000000000000000
deg: 5
c5: 38
c0: 61
skew: 1.10
type: snfs
lss: 1
rlim: 13200000
alim: 13200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5Factor base limits: 13200000/13200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6600000, 13100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2267319 x 2267567
Total sieving time: 671.52 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,196,5,0,0,0,0,0,0,0,0,13200000,13200000,28,28,55,55,2.5,2.5,100000
total time: 671.52 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 KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkDecember 23, 2008 11:00:14 UTC 2008 年 12 月 23 日 (火) 20 時 0 分 14 秒 (日本時間)
403e62111Jo Yeong UkDecember 24, 2008 23:25:57 UTC 2008 年 12 月 25 日 (木) 8 時 25 分 57 秒 (日本時間)

38×10197+619

c144

composite cofactor 合成数の残り
166732033055463091550903447619018600526320447253413942436057762193055239553862902449924381193679731685091332567720307531370383927514744193980749<144>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosMay 12, 2011 12:50:26 UTC 2011 年 5 月 12 日 (木) 21 時 50 分 26 秒 (日本時間)
403e61610110Ignacio SantosMay 12, 2011 12:50:26 UTC 2011 年 5 月 12 日 (木) 21 時 50 分 26 秒 (日本時間)
1500Dmitry DomanovAugust 28, 2013 15:28:27 UTC 2013 年 8 月 29 日 (木) 0 時 28 分 27 秒 (日本時間)
4511e61332 / 410932Ignacio SantosMay 12, 2011 12:50:26 UTC 2011 年 5 月 12 日 (木) 21 時 50 分 26 秒 (日本時間)
1000Dmitry DomanovAugust 28, 2013 15:28:27 UTC 2013 年 8 月 29 日 (木) 0 時 28 分 27 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:09 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 9 秒 (日本時間)

38×10201+619

c167

name 名前Ignacio Santos
date 日付May 12, 2011 15:02:05 UTC 2011 年 5 月 13 日 (金) 0 時 2 分 5 秒 (日本時間)
composite number 合成数
54371553188727828873274341752479741025922555270297060923674463783583162509950181471475991963230724653434017529812706750769842504962828665870594251328015123641059030631<167>
prime factors 素因数
1563322064302543125031562881776551<34>
34779495812326443006814074524883891435211027653345435923183083304376162478788687196896530339881950489468123767084477040347516008630081<134>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=549452211
Step 1 took 25475ms
Step 2 took 14493ms
********** Factor found in step 2: 1563322064302543125031562881776551
Found probable prime factor of 34 digits: 1563322064302543125031562881776551
Probable prime cofactor 34779495812326443006814074524883891435211027653345435923183083304376162478788687196896530339881950489468123767084477040347516008630081 has 134 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

38×10202+619

c175

name 名前Dmitry Domanov
date 日付August 5, 2013 04:55:40 UTC 2013 年 8 月 5 日 (月) 13 時 55 分 40 秒 (日本時間)
composite number 合成数
4873110651752707581818950606454151686867421597987229315086029508802794894416409121239630818100822038684742269702024732032838335476638905060190806157029726184066812176933757277<175>
prime factors 素因数
235356604637762885264231838281616067583369<42>
20705221590245607556389814793105955850134894447765845374043205449590328908949704553627868927987906141398858501965746802508590711546933<134>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4186808968
Step 1 took 70200ms
Step 2 took 22589ms
********** Factor found in step 2: 235356604637762885264231838281616067583369
Found probable prime factor of 42 digits: 235356604637762885264231838281616067583369

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosMay 12, 2011 15:44:53 UTC 2011 年 5 月 13 日 (金) 0 時 44 分 53 秒 (日本時間)
403e6110 / 2144Ignacio SantosMay 12, 2011 15:44:53 UTC 2011 年 5 月 13 日 (金) 0 時 44 分 53 秒 (日本時間)
4511e632 / 4441Ignacio SantosMay 12, 2011 15:44:53 UTC 2011 年 5 月 13 日 (金) 0 時 44 分 53 秒 (日本時間)

38×10203+619

c204

name 名前Wataru Sakai
date 日付January 26, 2009 13:19:03 UTC 2009 年 1 月 26 日 (月) 22 時 19 分 3 秒 (日本時間)
composite number 合成数
140740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740743<204>
prime factors 素因数
6856113896741631556597576234948868923421<40>
20527771688219442244535154146181623000054303924350561860790279591622429058862241151966970921841993193628897638361564188894699065035168720938479822972805057054160883<164>
factorization results 素因数分解の結果
Number: 42229_203
N=140740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740743
  ( 204 digits)
SNFS difficulty: 205 digits.
Divisors found:
 r1=6856113896741631556597576234948868923421
 r2=20527771688219442244535154146181623000054303924350561860790279591622429058862241151966970921841993193628897638361564188894699065035168720938479822972805057054160883
Version: 
Total time: 1090.97 hours.
Scaled time: 2159.02 units (timescale=1.979).
Factorization parameters were as follows:
n: 140740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740743
m: 50000000000000000000000000000000000000000
deg: 5
c5: 304
c0: 1525
skew: 1.38
type: snfs
lss: 1
rlim: 19000000
alim: 19000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6Factor base limits: 19000000/19000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [9500000, 20100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3217971 x 3218219
Total sieving time: 1090.97 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,205,5,0,0,0,0,0,0,0,0,19000000,19000000,29,29,56,56,2.6,2.6,100000
total time: 1090.97 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 KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

38×10204+619

c142

name 名前Bryan Koen
date 日付July 5, 2011 14:54:34 UTC 2011 年 7 月 5 日 (火) 23 時 54 分 34 秒 (日本時間)
composite number 合成数
2568939641075105630577865457086241354362500166153495772886449023670458981353818933105040106819187594102872385338262568741217081681324872095989<142>
prime factors 素因数
10597657837025879223286709859107082243034193588123758378327139<62>
242406358138851878305784930540114582013072589671119042832449758329846359798782151<81>
factorization results 素因数分解の結果
Number: 42229_204
N = 2568939641075105630577865457086241354362500166153495772886449023670458981353818933105040106819187594102872385338262568741217081681324872095989 (142 digits)
Divisors found:
r1=10597657837025879223286709859107082243034193588123758378327139 (pp62)
r2=242406358138851878305784930540114582013072589671119042832449758329846359798782151 (pp81)
Version: Msieve v. 1.48
Total time: 97.29 hours.
Factorization parameters were as follows:
n: 2568939641075105630577865457086241354362500166153495772886449023670458981353818933105040106819187594102872385338262568741217081681324872095989
Y0: -3073946546292720885110163118
Y1: 3995824999552507
c0: -3243935003904934640662510925429517675
c1: -6112263728012374342489660484997
c2: -1412878420316890136236515
c3: 338385530139704861
c4: -58099393834
c5: 9360
skew: 4217656.14
type: gnfs
Factor base limits: 13600000/13600000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23393096
Relations: 3888210 relations
Pruned matrix : 2345907 x 2346134
Polynomial selection time: 0.00 hours.
Total sieving time: 92.43 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 3.97 hours.
time per square root: 0.79 hours.
Prototype def-par.txt line would be: gnfs,141,5,65,2000,1e-05,0.28,250,20,50000,3600,13600000,13600000,28,28,56,56,2.5,2.5,100000
total time: 97.29 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.41GHz
software ソフトウェア
ggnfs
execution environment 実行環境
Windows 7
Core 2 i7 3.4 GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)
351e60--
403e60--
4511e62725Wataru SakaiMay 31, 2010 01:42:55 UTC 2010 年 5 月 31 日 (月) 10 時 42 分 55 秒 (日本時間)
5043e6942 / 6942300Serge BatalovJanuary 5, 2009 04:40:51 UTC 2009 年 1 月 5 日 (月) 13 時 40 分 51 秒 (日本時間)
200Serge BatalovJanuary 5, 2009 11:40:40 UTC 2009 年 1 月 5 日 (月) 20 時 40 分 40 秒 (日本時間)
442Wataru SakaiSeptember 6, 2010 00:03:37 UTC 2010 年 9 月 6 日 (月) 9 時 3 分 37 秒 (日本時間)

38×10205+619

c190

name 名前Serge Batalov
date 日付December 23, 2008 15:02:30 UTC 2008 年 12 月 24 日 (水) 0 時 2 分 30 秒 (日本時間)
composite number 合成数
6054924089253045237021290090992870689886288315376717316704329410015058020671111456205752156639372709027194361226114054198704230581825578986300456030559621101225100492038740041983608345711877<190>
prime factors 素因数
604708101318908926128095438473785832727<39>
composite cofactor 合成数の残り
10012970019827499748751154328820037782074317676296066223065340785954584373285105326974194401949500349014357279371189711576864463523554910181915957776451<152>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3954599440
Step 1 took 16015ms
Step 2 took 15053ms
********** Factor found in step 2: 604708101318908926128095438473785832727
Found probable prime factor of 39 digits: 604708101318908926128095438473785832727
Composite cofactor has 152 digits
software ソフトウェア
GMP-ECM 6.2.1

c152

name 名前Ignacio Santos
date 日付May 12, 2011 16:01:15 UTC 2011 年 5 月 13 日 (金) 1 時 1 分 15 秒 (日本時間)
composite number 合成数
10012970019827499748751154328820037782074317676296066223065340785954584373285105326974194401949500349014357279371189711576864463523554910181915957776451<152>
prime factors 素因数
8836072492850943848913778283554641769<37>
1133192380203846868030055458084614818196466529954483681745532777607270404693466690139582310009550942813624243634379<115>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2437387989
Step 1 took 6053ms
Step 2 took 4789ms
********** Factor found in step 2: 8836072492850943848913778283554641769
Found probable prime factor of 37 digits: 8836072492850943848913778283554641769
Probable prime cofactor 1133192380203846868030055458084614818196466529954483681745532777607270404693466690139582310009550942813624243634379 has 115 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

38×10206+619

c166

composite cofactor 合成数の残り
3696087912814396377812343534615217819303183530224422199013202770636551822238187855131097187685656458052814359373427176507848771917619061705604198358385605959546282447<166>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 18, 2013 12:00:00 UTC 2013 年 7 月 18 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61780280Makoto KamadaJuly 20, 2013 00:33:00 UTC 2013 年 7 月 20 日 (土) 9 時 33 分 0 秒 (日本時間)
1500Dmitry DomanovAugust 28, 2013 15:28:50 UTC 2013 年 8 月 29 日 (木) 0 時 28 分 50 秒 (日本時間)
4511e61300 / 40821000Dmitry DomanovAugust 28, 2013 15:28:50 UTC 2013 年 8 月 29 日 (木) 0 時 28 分 50 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:10 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 10 秒 (日本時間)

38×10208+619

c168

composite cofactor 合成数の残り
195887538559787666361589228892546996696908753823814891332265449455563943275770416762203280121737088528876795175109413709326991660210966185223624318691349511275654476203<168>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 18, 2013 12:00:00 UTC 2013 年 7 月 18 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61780280Makoto KamadaJuly 20, 2013 00:34:21 UTC 2013 年 7 月 20 日 (土) 9 時 34 分 21 秒 (日本時間)
1500Dmitry DomanovAugust 28, 2013 15:29:06 UTC 2013 年 8 月 29 日 (木) 0 時 29 分 6 秒 (日本時間)
4511e61300 / 40821000Dmitry DomanovAugust 28, 2013 15:29:06 UTC 2013 年 8 月 29 日 (木) 0 時 29 分 6 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:10 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 10 秒 (日本時間)

38×10210+619

c184

composite cofactor 合成数の残り
2328414544038633610308085505759859059635134809458531533537912776042749570946673940060087327716471646591860456041499476663712136041736807214859379185186915427282682098801365475099839133<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 18, 2013 12:00:00 UTC 2013 年 7 月 18 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61780280Makoto KamadaJuly 20, 2013 07:25:12 UTC 2013 年 7 月 20 日 (土) 16 時 25 分 12 秒 (日本時間)
1500Dmitry DomanovAugust 28, 2013 15:29:23 UTC 2013 年 8 月 29 日 (木) 0 時 29 分 23 秒 (日本時間)
4511e6800 / 4082500Dmitry DomanovAugust 28, 2013 15:29:23 UTC 2013 年 8 月 29 日 (木) 0 時 29 分 23 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:11 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 11 秒 (日本時間)

38×10211+619

c180

name 名前Makoto Kamada
date 日付July 20, 2013 07:59:06 UTC 2013 年 7 月 20 日 (土) 16 時 59 分 6 秒 (日本時間)
composite number 合成数
811703325295619163137061394988012750289797818554453011761406357071906896604875536747665438011944920719066202843763781884778922320388749339733338810383896019727200584746103998741937<180>
prime factors 素因数
3369764504719999411895825141128636697<37>
composite cofactor 合成数の残り
240878353415698182076679617370550003755638460476316376802156218382143176539468340202604322226718869880889256681790568392219264266793124431352921<144>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM]
Input number is 811703325295619163137061394988012750289797818554453011761406357071906896604875536747665438011944920719066202843763781884778922320388749339733338810383896019727200584746103998741937 (180 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=533111123
Step 1 took 24040ms
********** Factor found in step 1: 3369764504719999411895825141128636697
Found probable prime factor of 37 digits: 3369764504719999411895825141128636697
Composite cofactor 240878353415698182076679617370550003755638460476316376802156218382143176539468340202604322226718869880889256681790568392219264266793124431352921 has 144 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 18, 2013 12:00:00 UTC 2013 年 7 月 18 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61780280Makoto KamadaJuly 20, 2013 08:04:30 UTC 2013 年 7 月 20 日 (土) 17 時 4 分 30 秒 (日本時間)
1500Dmitry DomanovAugust 28, 2013 15:29:39 UTC 2013 年 8 月 29 日 (木) 0 時 29 分 39 秒 (日本時間)
4511e640501000Dmitry DomanovAugust 28, 2013 15:29:39 UTC 2013 年 8 月 29 日 (木) 0 時 29 分 39 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:09:52 UTC 2013 年 11 月 9 日 (土) 2 時 9 分 52 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:24:04 UTC 2014 年 1 月 6 日 (月) 11 時 24 分 4 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:48 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 48 秒 (日本時間)
5043e69 / 6576KTakahashiMay 25, 2014 07:03:35 UTC 2014 年 5 月 25 日 (日) 16 時 3 分 35 秒 (日本時間)

38×10213+619

c187

name 名前Dmitry Domanov
date 日付August 2, 2013 04:58:26 UTC 2013 年 8 月 2 日 (金) 13 時 58 分 26 秒 (日本時間)
composite number 合成数
1631119217125355199579172675907116964076813073985692089857409909676380947790586953905576717626701559747910630165941246012974361650438049160082179710850077334351079125953506443192372177393<187>
prime factors 素因数
2758298880433860990878105253797411539<37>
591349700605610814923345612661255276930154283396087385331859043553136841094215694097457133749265672609175924386753916730787995364355971722893455836587<150>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3777645600
Step 1 took 70590ms
Step 2 took 23189ms
********** Factor found in step 2: 2758298880433860990878105253797411539
Found probable prime factor of 37 digits: 2758298880433860990878105253797411539

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 18, 2013 12:00:00 UTC 2013 年 7 月 18 日 (木) 21 時 0 分 0 秒 (日本時間)

38×10214+619

c176

name 名前Dmitry Domanov
date 日付July 31, 2013 09:59:58 UTC 2013 年 7 月 31 日 (水) 18 時 59 分 58 秒 (日本時間)
composite number 合成数
40401484770641662518790328610622536707958774435968554342620599268430473658986879078550436105677600168722395081611676590755966231238065530990756145330127218192391197879547767691<176>
prime factors 素因数
19262803750149683736621477037523730168803<41>
2097383397280768036416167889873709174363599416548141586997121385589537038442571548336856710429409889226204163638112572681401089968304697<136>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2060041135
Step 1 took 71377ms
Step 2 took 22419ms
********** Factor found in step 2: 19262803750149683736621477037523730168803
Found probable prime factor of 41 digits: 19262803750149683736621477037523730168803

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 18, 2013 12:00:00 UTC 2013 年 7 月 18 日 (木) 21 時 0 分 0 秒 (日本時間)

38×10215+619

c207

composite cofactor 合成数の残り
223588299306731286904837822025512696226896677003259065473632757383519089353862210006164819540974272388287409621416404119385954555853388526691053900239675165595012096240846009730654457031661365926172998057343<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 18, 2013 12:00:00 UTC 2013 年 7 月 18 日 (木) 21 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovAugust 28, 2013 15:29:52 UTC 2013 年 8 月 29 日 (木) 0 時 29 分 52 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:43:40 UTC 2014 年 1 月 9 日 (木) 13 時 43 分 40 秒 (日本時間)
4511e6451 / 4077151CypMarch 11, 2014 14:12:07 UTC 2014 年 3 月 11 日 (火) 23 時 12 分 7 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:11 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 11 秒 (日本時間)

38×10217+619

c197

composite cofactor 合成数の残り
16945620876723018490367671797004432552791554515042489501256526941838123174344301218134398214323027317791113668609421943190233711507647972059577131144870263829705668923207287984515785227927609772877<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 18, 2013 12:00:00 UTC 2013 年 7 月 18 日 (木) 21 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovAugust 28, 2013 15:30:01 UTC 2013 年 8 月 29 日 (木) 0 時 30 分 1 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:43:41 UTC 2014 年 1 月 9 日 (木) 13 時 43 分 41 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:05 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 5 秒 (日本時間)

38×10218+619

c168

composite cofactor 合成数の残り
311210757298822443214979307569539047530124866778034773971818754438682823161667139312147903513833699397415189524510013106198632788079728876420949078083549160832713274327<168>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 18, 2013 12:00:00 UTC 2013 年 7 月 18 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 28, 2013 15:30:14 UTC 2013 年 8 月 29 日 (木) 0 時 30 分 14 秒 (日本時間)
4511e61300 / 41431000Dmitry DomanovAugust 28, 2013 15:30:14 UTC 2013 年 8 月 29 日 (木) 0 時 30 分 14 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:12 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 12 秒 (日本時間)

38×10219+619

c200

composite cofactor 合成数の残り
68070084080808045714715443464743408766326634819055285211575780110408505043677662204418400890215412910664927256939502822019514987981434847629313829666054722072990814275239738229624019944115426884645289<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 18, 2013 12:00:00 UTC 2013 年 7 月 18 日 (木) 21 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovAugust 28, 2013 15:30:27 UTC 2013 年 8 月 29 日 (木) 0 時 30 分 27 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:43:41 UTC 2014 年 1 月 9 日 (木) 13 時 43 分 41 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:05 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 5 秒 (日本時間)

38×10220+619

c212

name 名前Dmitry Domanov
date 日付August 5, 2013 13:27:36 UTC 2013 年 8 月 5 日 (月) 22 時 27 分 36 秒 (日本時間)
composite number 合成数
66054902007746690496570536653144864923719876515220946675816320520024127484680105166920348866454867637851483398419653191784589759426459831851472350215806327668393493557595093479564924458144342371212384258385589023<212>
prime factors 素因数
689622625434286763979528615291405041174887<42>
composite cofactor 合成数の残り
95784128263119139098112418986270149316652096042704911480429826033451330078149150933849268718321239562225026148181515356722061741103358409093094930215974899320940095937929<170>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1430587987
Step 1 took 83873ms
Step 2 took 27326ms
********** Factor found in step 2: 689622625434286763979528615291405041174887
Found probable prime factor of 42 digits: 689622625434286763979528615291405041174887

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 18, 2013 12:00:00 UTC 2013 年 7 月 18 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 28, 2013 15:30:39 UTC 2013 年 8 月 29 日 (木) 0 時 30 分 39 秒 (日本時間)
4511e61300 / 41431000Dmitry DomanovAugust 28, 2013 15:30:39 UTC 2013 年 8 月 29 日 (木) 0 時 30 分 39 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:12 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 12 秒 (日本時間)

38×10222+619

c212

composite cofactor 合成数の残り
15085770057311828045604315641606341685619820160515694146915309255898953014362301640152497061312157150804212795911059257248489380997633908266543164975577894183433001460008845821399974996700121815195329642401753187<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 18, 2013 12:00:00 UTC 2013 年 7 月 18 日 (木) 21 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovAugust 28, 2013 15:30:50 UTC 2013 年 8 月 29 日 (木) 0 時 30 分 50 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:43:42 UTC 2014 年 1 月 9 日 (木) 13 時 43 分 42 秒 (日本時間)
4511e6451 / 4077151CypMarch 7, 2014 21:58:18 UTC 2014 年 3 月 8 日 (土) 6 時 58 分 18 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:12 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 12 秒 (日本時間)

38×10223+619

c189

composite cofactor 合成数の残り
721107098944250335899258893921523019356285941242211859164333377651042492196251192932287608773149384915631798064285892377977457277567258654191937454977383386167727940928637981756150542533109<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 18, 2013 12:00:00 UTC 2013 年 7 月 18 日 (木) 21 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovAugust 28, 2013 15:30:59 UTC 2013 年 8 月 29 日 (木) 0 時 30 分 59 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:43:43 UTC 2014 年 1 月 9 日 (木) 13 時 43 分 43 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:06 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 6 秒 (日本時間)

38×10224+619

c201

name 名前Dmitry Domanov
date 日付July 31, 2013 09:58:50 UTC 2013 年 7 月 31 日 (水) 18 時 58 分 50 秒 (日本時間)
composite number 合成数
144594714846378441725023692918470820265269900580231151925795177466880307684152272506841263405229668907821025694072596323970202906875459363903330587391461241385111731307449788277582632559949514965114071<201>
prime factors 素因数
2601475693627457808769625528359<31>
composite cofactor 合成数の残り
55581805050331947929786750892032273787350540128566202448941806983161097022043911035940902867881062410397332995930870811686282507858835839743691316930805281556667414434769<170>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=226432129
Step 1 took 80981ms
Step 2 took 25343ms
********** Factor found in step 2: 2601475693627457808769625528359
Found probable prime factor of 31 digits: 2601475693627457808769625528359

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 18, 2013 12:00:00 UTC 2013 年 7 月 18 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 28, 2013 15:31:11 UTC 2013 年 8 月 29 日 (木) 0 時 31 分 11 秒 (日本時間)
4511e61300 / 41431000Dmitry DomanovAugust 28, 2013 15:31:11 UTC 2013 年 8 月 29 日 (木) 0 時 31 分 11 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:13 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 13 秒 (日本時間)

38×10225+619

c156

name 名前Ignacio Santos
date 日付July 24, 2013 09:53:27 UTC 2013 年 7 月 24 日 (水) 18 時 53 分 27 秒 (日本時間)
composite number 合成数
848408883940758973465450779431534746213183648145192479714069673411513299416835811563752917092037128967111350571984582419188997633388288802808190752226346521<156>
prime factors 素因数
40100609043719194270348700657<29>
composite cofactor 合成数の残り
21157007441353113987813025356645555143389824712246017570045118819731700204339645430341114097171340733801196219607790020852778153<128>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1609529143
Step 1 took 2171ms
Step 2 took 1954ms
********** Factor found in step 2: 40100609043719194270348700657
Found probable prime factor of 29 digits: 40100609043719194270348700657
Composite cofactor 21157007441353113987813025356645555143389824712246017570045118819731700204339645430341114097171340733801196219607790020852778153 has 128 digits
software ソフトウェア
GMP-ECM 7.0

c128

name 名前Erik Branger
date 日付December 3, 2013 16:41:27 UTC 2013 年 12 月 4 日 (水) 1 時 41 分 27 秒 (日本時間)
composite number 合成数
21157007441353113987813025356645555143389824712246017570045118819731700204339645430341114097171340733801196219607790020852778153<128>
prime factors 素因数
2195785902263349701108963822189990965164273192970743814891<58>
9635277929212092384156870750627332931079462384462974363902471549604283<70>
factorization results 素因数分解の結果
Number: 42229_225
N = 21157007441353113987813025356645555143389824712246017570045118819731700204339645430341114097171340733801196219607790020852778153 (128 digits)
Divisors found:
r1=2195785902263349701108963822189990965164273192970743814891 (pp58)
r2=9635277929212092384156870750627332931079462384462974363902471549604283 (pp70)
Version: Msieve v. 1.51 (SVN 845)
Total time: 58.18 hours.
Factorization parameters were as follows:
# Murphy_E = 1.196e-10, selected by Dmitry Domanov
n: 21157007441353113987813025356645555143389824712246017570045118819731700204339645430341114097171340733801196219607790020852778153
Y0: -4026428220896543211531236
Y1: 33157727377763
c0: -264152215050802801695078185265
c1: 18219551481838806802482591
c2: -406612985931716720347
c3: -3201386275456823
c4: -10123210468
c5: 19992
skew: 185503.29
type: gnfs
# selected mechanically
rlim: 8300000
alim: 8300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8300000/8300000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 21337094
Relations: 1341086 relations
Pruned matrix : 877240 x 877465
Polynomial selection time: 0.00 hours.
Total sieving time: 57.41 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.59 hours.
time per square root: 0.08 hours.
Prototype def-par.txt line would be: gnfs,127,5,65,2000,1e-05,0.28,250,20,50000,3600,8300000,8300000,28,28,53,53,2.5,2.5,100000
total time: 58.18 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 KamadaJuly 18, 2013 12:00:00 UTC 2013 年 7 月 18 日 (木) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosJuly 26, 2013 19:41:10 UTC 2013 年 7 月 27 日 (土) 4 時 41 分 10 秒 (日本時間)
403e62310110Ignacio SantosJuly 26, 2013 19:41:10 UTC 2013 年 7 月 27 日 (土) 4 時 41 分 10 秒 (日本時間)
2200JPascoaAugust 22, 2013 09:17:27 UTC 2013 年 8 月 22 日 (木) 18 時 17 分 27 秒 (日本時間)
4511e61962 / 395132Ignacio SantosJuly 26, 2013 19:41:10 UTC 2013 年 7 月 27 日 (土) 4 時 41 分 10 秒 (日本時間)
230Ignacio SantosSeptember 23, 2013 18:15:35 UTC 2013 年 9 月 24 日 (火) 3 時 15 分 35 秒 (日本時間)
850Serge BatalovNovember 8, 2013 01:45:06 UTC 2013 年 11 月 8 日 (金) 10 時 45 分 6 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:08:16 UTC 2013 年 11 月 9 日 (土) 2 時 8 分 16 秒 (日本時間)

38×10226+619

c201

composite cofactor 合成数の残り
363916585361231621534708720146889358521956021816034272191279284952340414281427515860717942715340063163782167854403100063358973539195713539999925067257521347936819625031716706006051734636994604851494499<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 18, 2013 12:00:00 UTC 2013 年 7 月 18 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 28, 2013 15:31:32 UTC 2013 年 8 月 29 日 (木) 0 時 31 分 32 秒 (日本時間)
4511e6800 / 4143500Dmitry DomanovAugust 29, 2013 10:39:00 UTC 2013 年 8 月 29 日 (木) 19 時 39 分 0 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:14 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 14 秒 (日本時間)

38×10229+619

c201

name 名前Dmitry Domanov
date 日付August 6, 2013 04:56:38 UTC 2013 年 8 月 6 日 (火) 13 時 56 分 38 秒 (日本時間)
composite number 合成数
536666840667129147172898830711970896357548521281392096366392479373341746675379767543807408096562108642448057353887983031517551732469333005223074561187310372981105512603511382142439591196024764509115123<201>
prime factors 素因数
39214982348475928394506013227678297766699179<44>
13685250088809142311072260505364382058637409841658981119032072854181070813695961779506871444955577416399088863756954468937138456904231284159183009194719864537<158>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1715682102
Step 1 took 83028ms
Step 2 took 25523ms
********** Factor found in step 2: 39214982348475928394506013227678297766699179
Found probable prime factor of 44 digits: 39214982348475928394506013227678297766699179

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 18, 2013 12:00:00 UTC 2013 年 7 月 18 日 (木) 21 時 0 分 0 秒 (日本時間)

38×10230+619

c199

composite cofactor 合成数の残り
2552447750383927836728002968808141212717022386534660218898863239127461529562642237315091550830554804467219991816292027380341851468264349201793764090338204432625820883034904361899970545509879526778487<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 18, 2013 12:00:00 UTC 2013 年 7 月 18 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 28, 2013 15:39:16 UTC 2013 年 8 月 29 日 (木) 0 時 39 分 16 秒 (日本時間)
4511e6800 / 4143500Dmitry DomanovAugust 29, 2013 10:38:47 UTC 2013 年 8 月 29 日 (木) 19 時 38 分 47 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:14 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 14 秒 (日本時間)

38×10232+619

c226

name 名前Dmitry Domanov
date 日付July 31, 2013 09:57:44 UTC 2013 年 7 月 31 日 (水) 18 時 57 分 44 秒 (日本時間)
composite number 合成数
2145363665591393460390689805949428798900029141377980744988485522693608866227977058632681712429503702804532862107591602497851432403144861498059910940195633567301613578259566612714722462742894757373116686154755006328907498902463<226>
prime factors 素因数
162289459355963854509378369530134528168408603<45>
composite cofactor 合成数の残り
13219365411069471828718386156803813309752799461395239526539408884813232007886266047984159861298567131275483061435292487468990908647938487699652598311887930015828917787150436041720621<182>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=708253027
Step 1 took 96843ms
Step 2 took 29117ms
********** Factor found in step 2: 162289459355963854509378369530134528168408603
Found probable prime factor of 45 digits: 162289459355963854509378369530134528168408603

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 18, 2013 12:00:00 UTC 2013 年 7 月 18 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 28, 2013 15:39:29 UTC 2013 年 8 月 29 日 (木) 0 時 39 分 29 秒 (日本時間)
4511e6800 / 4143500Dmitry DomanovAugust 28, 2013 15:39:29 UTC 2013 年 8 月 29 日 (木) 0 時 39 分 29 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:14 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 14 秒 (日本時間)

38×10233+619

c213

name 名前Dmitry Domanov
date 日付July 31, 2013 09:55:26 UTC 2013 年 7 月 31 日 (水) 18 時 55 分 26 秒 (日本時間)
composite number 合成数
444037641443909588661888263821792350613783985206385362228063436527888188586161242083473720216896367384309267451579610155063691496634490839338240469161518632940040884182287731769972081575470419783130210158592312829<213>
prime factors 素因数
34174137126250056077331340406131<32>
1983089886176932889789470409009461<34>
composite cofactor 合成数の残り
6552089630772474307365362196547772255322390503335718190622759110717578976051780359015319665807298967763552619872186250324406288424009338314013794419<148>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=922743796
Step 1 took 97945ms
Step 2 took 28572ms
********** Factor found in step 2: 34174137126250056077331340406131
Found probable prime factor of 32 digits: 34174137126250056077331340406131

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3085183019
Step 1 took 70799ms
Step 2 took 22580ms
********** Factor found in step 2: 1983089886176932889789470409009461
Found probable prime factor of 34 digits: 1983089886176932889789470409009461

c148

name 名前Dmitry Domanov
date 日付August 5, 2013 04:56:14 UTC 2013 年 8 月 5 日 (月) 13 時 56 分 14 秒 (日本時間)
composite number 合成数
6552089630772474307365362196547772255322390503335718190622759110717578976051780359015319665807298967763552619872186250324406288424009338314013794419<148>
prime factors 素因数
407957931864117543124480988439115957<36>
16060699202080575244417011509496082918632595225340826588499431820711837025176021908844725799252084460503577752967<113>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1634658048
Step 1 took 48783ms
Step 2 took 18039ms
********** Factor found in step 2: 407957931864117543124480988439115957
Found probable prime factor of 36 digits: 407957931864117543124480988439115957

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 18, 2013 12:00:00 UTC 2013 年 7 月 18 日 (木) 21 時 0 分 0 秒 (日本時間)

38×10234+619

c209

name 名前Dmitry Domanov
date 日付August 5, 2013 04:54:58 UTC 2013 年 8 月 5 日 (月) 13 時 54 分 58 秒 (日本時間)
composite number 合成数
18184307774547395368661897249588863433183454786853535809267111742561079921866793426735775631365331357534650197522773410696145531618963792315288328637325513664382243134231754024708984648204398954420359578463797<209>
prime factors 素因数
12123209637728361433832907746622321647<38>
composite cofactor 合成数の残り
1499958205618785148401040013963981982056149780183687742745243885650042424480419874002582314215437603740631821344020965064974647209020243695471059012712201852253483150183451<172>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=938891840
Step 1 took 80867ms
Step 2 took 26217ms
********** Factor found in step 2: 12123209637728361433832907746622321647
Found probable prime factor of 38 digits: 12123209637728361433832907746622321647

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 18, 2013 12:00:00 UTC 2013 年 7 月 18 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 28, 2013 15:39:47 UTC 2013 年 8 月 29 日 (木) 0 時 39 分 47 秒 (日本時間)
4511e61300 / 41431000Dmitry DomanovAugust 28, 2013 15:39:47 UTC 2013 年 8 月 29 日 (木) 0 時 39 分 47 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:15 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 15 秒 (日本時間)

38×10236+619

c208

name 名前Dmitry Domanov
date 日付July 29, 2013 12:44:34 UTC 2013 年 7 月 29 日 (月) 21 時 44 分 34 秒 (日本時間)
composite number 合成数
5371924837566201878792355611895830017472743104265384854658567561881988604418934069597272642188020486887683559923925858204989921926274701957516517270520198498118659378404588253175998178407884714039307705877339<208>
prime factors 素因数
6490792288736215203801282334528028873<37>
8364133283258329275116122127817197467<37>
98948968504837448473749513197554958001551819902129478267346357333161434136186559118695072177789409819221449165561363414488179246534329<134>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3409017733
Step 1 took 82621ms
Step 2 took 26194ms
********** Factor found in step 2: 8364133283258329275116122127817197467
Found probable prime factor of 37 digits: 8364133283258329275116122127817197467

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=858275186
Step 1 took 56805ms
Step 2 took 20726ms
********** Factor found in step 2: 6490792288736215203801282334528028873
Found probable prime factor of 37 digits: 6490792288736215203801282334528028873

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 18, 2013 12:00:00 UTC 2013 年 7 月 18 日 (木) 21 時 0 分 0 秒 (日本時間)

38×10237+619

c204

composite cofactor 合成数の残り
689145266865170208387692878172051252700332329213528239534699734422538272124457420384745120121890527957734633232424939863589500691762127573242253386205233105470850973385937896894565275620695113548942814713<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 18, 2013 12:00:00 UTC 2013 年 7 月 18 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 28, 2013 15:57:32 UTC 2013 年 8 月 29 日 (木) 0 時 57 分 32 秒 (日本時間)
4511e6800 / 4143500Dmitry DomanovAugust 29, 2013 10:38:16 UTC 2013 年 8 月 29 日 (木) 19 時 38 分 16 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:15 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 15 秒 (日本時間)

38×10238+619

c222

composite cofactor 合成数の残り
344245450965937880431267876577401827379400427377538031476676099989424539654008648511481563901424831479786919826013323969164672444517101248605990715814865609809490134752387644142487292366229473998078315745413950684448049347<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 18, 2013 12:00:00 UTC 2013 年 7 月 18 日 (木) 21 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovAugust 28, 2013 15:57:42 UTC 2013 年 8 月 29 日 (木) 0 時 57 分 42 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:43:44 UTC 2014 年 1 月 9 日 (木) 13 時 43 分 44 秒 (日本時間)
4511e6451 / 4077151CypMarch 8, 2014 10:21:00 UTC 2014 年 3 月 8 日 (土) 19 時 21 分 0 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:15 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 15 秒 (日本時間)

38×10239+619

c236

name 名前Dmitry Domanov
date 日付July 31, 2013 09:56:39 UTC 2013 年 7 月 31 日 (水) 18 時 56 分 39 秒 (日本時間)
composite number 合成数
82256423577288568521765482607095698854903998095114401368054202653851981730415394939065307271034915687165833279217265190380327726908673723401952507738597744442279801718726324220187458060047189211420655020888802303179860164079918609433513<236>
prime factors 素因数
340582649941232637142457500200361005685817<42>
composite cofactor 合成数の残り
241516776005712189195418453455697889258970136325239465748374582915270802008530182178027495164256020155608801720135832921065341501393020757896238952496819378106350486095552400936075031223837557489<195>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2398461621
Step 1 took 111221ms
Step 2 took 31514ms
********** Factor found in step 2: 340582649941232637142457500200361005685817
Found probable prime factor of 42 digits: 340582649941232637142457500200361005685817

c195

name 名前Dmitry Domanov
date 日付August 30, 2013 09:14:14 UTC 2013 年 8 月 30 日 (金) 18 時 14 分 14 秒 (日本時間)
composite number 合成数
241516776005712189195418453455697889258970136325239465748374582915270802008530182178027495164256020155608801720135832921065341501393020757896238952496819378106350486095552400936075031223837557489<195>
prime factors 素因数
2208664034767502463330284709169459500464707<43>
109349711954328865530851473917818096880354646467178080905734313803324558631243162117451547188871606576273932796114417518502853872328902796652240718167227<153>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=84758802
Step 1 took 94393ms
Step 2 took 36682ms
********** Factor found in step 2: 2208664034767502463330284709169459500464707
Found probable prime factor of 43 digits: 2208664034767502463330284709169459500464707

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 18, 2013 12:00:00 UTC 2013 年 7 月 18 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 28, 2013 15:57:51 UTC 2013 年 8 月 29 日 (木) 0 時 57 分 51 秒 (日本時間)
4511e6500 / 4143Dmitry DomanovAugust 29, 2013 10:38:04 UTC 2013 年 8 月 29 日 (木) 19 時 38 分 4 秒 (日本時間)

38×10240+619

c221

composite cofactor 合成数の残り
61564371695938749381808130400738437515413775395820895512708148635222860338875401427285447772699080579334085607111443090792148987178761568987457876326566851836304168805649689156685878132634628332076464328821088526921336643<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 18, 2013 12:00:00 UTC 2013 年 7 月 18 日 (木) 21 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovAugust 28, 2013 15:58:01 UTC 2013 年 8 月 29 日 (木) 0 時 58 分 1 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:43:45 UTC 2014 年 1 月 9 日 (木) 13 時 43 分 45 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:06 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 6 秒 (日本時間)

38×10241+619

c144

composite cofactor 合成数の残り
635027992380284102320159378538761663093508556622476522806530252604753771453828309229678916221856040477470513700532911654696371037008687403584741<144>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJuly 18, 2013 12:00:00 UTC 2013 年 7 月 18 日 (木) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosJuly 21, 2013 22:00:02 UTC 2013 年 7 月 22 日 (月) 7 時 0 分 2 秒 (日本時間)
403e61610110Ignacio SantosJuly 21, 2013 22:00:02 UTC 2013 年 7 月 22 日 (月) 7 時 0 分 2 秒 (日本時間)
1500Dmitry DomanovAugust 28, 2013 15:58:16 UTC 2013 年 8 月 29 日 (木) 0 時 58 分 16 秒 (日本時間)
4511e6408232Ignacio SantosJuly 21, 2013 22:00:02 UTC 2013 年 7 月 22 日 (月) 7 時 0 分 2 秒 (日本時間)
1000Dmitry DomanovAugust 28, 2013 15:58:16 UTC 2013 年 8 月 29 日 (木) 0 時 58 分 16 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:09:57 UTC 2013 年 11 月 9 日 (土) 2 時 9 分 57 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:24:09 UTC 2014 年 1 月 6 日 (月) 11 時 24 分 9 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:53 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 53 秒 (日本時間)
5043e67 / 6574KTakahashiMay 25, 2014 07:04:01 UTC 2014 年 5 月 25 日 (日) 16 時 4 分 1 秒 (日本時間)

38×10242+619

c240

composite cofactor 合成数の残り
328066994733661400328066994733661400328066994733661400328066994733661400328066994733661400328066994733661400328066994733661400328066994733661400328066994733661400328066994733661400328066994733661400328066994733661400328066994733661400328067<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 18, 2013 12:00:00 UTC 2013 年 7 月 18 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 28, 2013 15:58:30 UTC 2013 年 8 月 29 日 (木) 0 時 58 分 30 秒 (日本時間)
4511e623501500Dmitry DomanovAugust 28, 2013 15:58:30 UTC 2013 年 8 月 29 日 (木) 0 時 58 分 30 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:17:37 UTC 2013 年 11 月 9 日 (土) 2 時 17 分 37 秒 (日本時間)
5043e6775 / 6969Serge BatalovNovember 25, 2013 02:17:42 UTC 2013 年 11 月 25 日 (月) 11 時 17 分 42 秒 (日本時間)

38×10244+619

c213

name 名前Dmitry Domanov
date 日付July 31, 2013 09:59:23 UTC 2013 年 7 月 31 日 (水) 18 時 59 分 23 秒 (日本時間)
composite number 合成数
361493203071772216428895235945418693318067306677055903197490867223353081765156465694202698741682034703716386861381558900227367945138814653101680595834267430975052662884262097825628167581456103493796967774735438247<213>
prime factors 素因数
8759194932892050726403524431542733<34>
composite cofactor 合成数の残り
41270140217374620915584722104320395095073064683231790390469907886551985675189282856728903278325252543379574030081099622760277265129861621121030221874322179427527780053806658549059<179>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=434910902
Step 1 took 99690ms
Step 2 took 28667ms
********** Factor found in step 2: 8759194932892050726403524431542733
Found probable prime factor of 34 digits: 8759194932892050726403524431542733

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 18, 2013 12:00:00 UTC 2013 年 7 月 18 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 28, 2013 15:59:00 UTC 2013 年 8 月 29 日 (木) 0 時 59 分 0 秒 (日本時間)
4511e6800 / 4143500Dmitry DomanovAugust 29, 2013 10:37:46 UTC 2013 年 8 月 29 日 (木) 19 時 37 分 46 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:16 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 16 秒 (日本時間)

38×10245+619

c203

composite cofactor 合成数の残り
69151672111119578077545254729815984348958789796122683112734726588618858677208613546159142263645525890314904090022405988395168751889469116549436338831572542941374247184649413069674698536550651301989199093<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 18, 2013 12:00:00 UTC 2013 年 7 月 18 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 28, 2013 15:59:08 UTC 2013 年 8 月 29 日 (木) 0 時 59 分 8 秒 (日本時間)
4511e6800 / 4143500Dmitry DomanovAugust 29, 2013 10:35:56 UTC 2013 年 8 月 29 日 (木) 19 時 35 分 56 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:16 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 16 秒 (日本時間)

38×10248+619

c244

name 名前Dmitry Domanov
date 日付July 31, 2013 10:00:33 UTC 2013 年 7 月 31 日 (水) 19 時 0 分 33 秒 (日本時間)
composite number 合成数
2479095678088121413058440766249330481068516332999960203990430690682579851345594418642277584343075526954620153612596937533965241773806005544040808524435728465955166207055375821118894166753108818600002479095678088121413058440766249330481068516333<244>
prime factors 素因数
267683846564974955132633842528793<33>
composite cofactor 合成数の残り
9261282329512438507296014368167183382640961294279364020545898164716355141030631843323379156147069900527201155617674277950129537134570962439128100050385460319531978965427102354933355699021847755501047842567553781<211>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1397764144
Step 1 took 112666ms
Step 2 took 32411ms
********** Factor found in step 2: 267683846564974955132633842528793
Found probable prime factor of 33 digits: 267683846564974955132633842528793

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 18, 2013 12:00:00 UTC 2013 年 7 月 18 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 28, 2013 15:59:17 UTC 2013 年 8 月 29 日 (木) 0 時 59 分 17 秒 (日本時間)
4511e6800 / 4143500Dmitry DomanovAugust 29, 2013 10:35:43 UTC 2013 年 8 月 29 日 (木) 19 時 35 分 43 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:17 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 17 秒 (日本時間)

38×10249+619

c189

name 名前Dmitry Domanov
date 日付July 31, 2013 09:58:17 UTC 2013 年 7 月 31 日 (水) 18 時 58 分 17 秒 (日本時間)
composite number 合成数
213669055237404576567870676118898375687238206472600018865323016819894350866793340368554702911422829596964431483806162533588619640384922624431042098906257362841626124651251133344968731962043<189>
prime factors 素因数
15530840899886067874864873029180959959<38>
composite cofactor 合成数の残り
13757726102195279300023013648157724490758349142024767006429603968881562178824942667172924842522515232312111199240995790703463183238736388842932080242877<152>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2869636726
Step 1 took 70690ms
Step 2 took 23363ms
********** Factor found in step 2: 15530840899886067874864873029180959959
Found probable prime factor of 38 digits: 15530840899886067874864873029180959959

c152

name 名前Dmitry Domanov
date 日付August 28, 2013 20:27:03 UTC 2013 年 8 月 29 日 (木) 5 時 27 分 3 秒 (日本時間)
composite number 合成数
13757726102195279300023013648157724490758349142024767006429603968881562178824942667172924842522515232312111199240995790703463183238736388842932080242877<152>
prime factors 素因数
89101954492735567997983358679376697105375615899<47>
215014115665696974452701442321838281403336237913<48>
718112449867327861821307424167525884889179759060693327071<57>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3592641832
Step 1 took 175897ms
Step 2 took 60338ms
********** Factor found in step 2: 215014115665696974452701442321838281403336237913
Found probable prime factor of 48 digits: 215014115665696974452701442321838281403336237913
Composite cofactor 63985222828745499118721633725524324386203571658383214265401132515554719840640833965381649549066074701829 has 104 digits

N=63985222828745499118721633725524324386203571658383214265401132515554719840640833965381649549066074701829
  ( 104 digits)
Divisors found:
 r1=89101954492735567997983358679376697105375615899 (pp47)
 r2=718112449867327861821307424167525884889179759060693327071 (pp57)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 10.37 hours.
Scaled time: 7.35 units (timescale=0.709).
Factorization parameters were as follows:
name: cc104
n: 63985222828745499118721633725524324386203571658383214265401132515554719840640833965381649549066074701829
skew: 10405.21
# norm 4.71e+14
c5: 177480
c4: -964971954
c3: -57340204679419
c2: 55919915898862663
c1: 1879289100276248235575
c0: 4294566950197856020375575
# alpha -6.80
Y1: 116499090103
Y0: -51450206576022333052
# Murphy_E 2.18e-09
# M 43608986488407290643973739362242351769451022342171715638316862992459544016464808571407458483581276090324
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1950001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 263962 x 264189
Polynomial selection time: 0.76 hours.
Total sieving time: 9.16 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
gnfs,103,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 10.37 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 18, 2013 12:00:00 UTC 2013 年 7 月 18 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 27, 2013 21:21:00 UTC 2013 年 8 月 28 日 (水) 6 時 21 分 0 秒 (日本時間)
4511e61200 / 4143Dmitry DomanovAugust 27, 2013 21:21:00 UTC 2013 年 8 月 28 日 (水) 6 時 21 分 0 秒 (日本時間)

38×10250+619

c221

composite cofactor 合成数の残り
35536130711377412464925398722903864366234979981407432630286444996627361183672155475468122853348042759702380979136666177112471485059309519862225581420095483495407964204838926996898706393881323006610030472480828059667275359<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 18, 2013 12:00:00 UTC 2013 年 7 月 18 日 (木) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 24, 2013 10:10:28 UTC 2013 年 8 月 24 日 (土) 19 時 10 分 28 秒 (日本時間)
4511e62000Dmitry DomanovAugust 24, 2013 10:10:28 UTC 2013 年 8 月 24 日 (土) 19 時 10 分 28 秒 (日本時間)
5043e6620 / 7047Dmitry DomanovAugust 30, 2013 10:32:50 UTC 2013 年 8 月 30 日 (金) 19 時 32 分 50 秒 (日本時間)