20084078629270154464915312484066295599082921065544328970184837510862039456747676582069659<89>

121426997166013585257945094641811871<36>
165400438930491170714093139841463045980448069972087429<54>

ue Oct  7 11:47:53 2008  Msieve v. 1.38
Tue Oct  7 11:47:53 2008  random seeds: 1d892829 4d448959
Tue Oct  7 11:47:53 2008  factoring 20084078629270154464915312484066295599082921065544328970184837510862039456747676582069659 (89 digits)
Tue Oct  7 11:47:55 2008  searching for 15-digit factors
Tue Oct  7 11:47:56 2008  commencing quadratic sieve (89-digit input)
Tue Oct  7 11:47:57 2008  using multiplier of 19
Tue Oct  7 11:47:57 2008  using 64kb Pentium 4 sieve core
Tue Oct  7 11:47:57 2008  sieve interval: 15 blocks of size 65536
Tue Oct  7 11:47:57 2008  processing polynomials in batches of 7
Tue Oct  7 11:47:57 2008  using a sieve bound of 1538939 (58667 primes)
Tue Oct  7 11:47:57 2008  using large prime bound of 123115120 (26 bits)
Tue Oct  7 11:47:57 2008  using double large prime bound of 365224943163840 (42-49 bits)
Tue Oct  7 11:47:57 2008  using trial factoring cutoff of 49 bits
Tue Oct  7 11:47:57 2008  polynomial 'A' values have 11 factors
Tue Oct  7 13:17:05 2008  59144 relations (16771 full + 42373 combined from 612311 partial), need 58763
Tue Oct  7 13:17:07 2008  begin with 629082 relations
Tue Oct  7 13:17:08 2008  reduce to 140845 relations in 10 passes
Tue Oct  7 13:17:08 2008  attempting to read 140845 relations
Tue Oct  7 13:17:12 2008  recovered 140845 relations
Tue Oct  7 13:17:12 2008  recovered 115844 polynomials
Tue Oct  7 13:17:12 2008  attempting to build 59144 cycles
Tue Oct  7 13:17:12 2008  found 59144 cycles in 5 passes
Tue Oct  7 13:17:12 2008  distribution of cycle lengths:
Tue Oct  7 13:17:12 2008     length 1 : 16771
Tue Oct  7 13:17:12 2008     length 2 : 11626
Tue Oct  7 13:17:12 2008     length 3 : 10380
Tue Oct  7 13:17:12 2008     length 4 : 7739
Tue Oct  7 13:17:12 2008     length 5 : 5283
Tue Oct  7 13:17:12 2008     length 6 : 3224
Tue Oct  7 13:17:12 2008     length 7 : 1938
Tue Oct  7 13:17:12 2008     length 9+: 2183
Tue Oct  7 13:17:12 2008  largest cycle: 18 relations
Tue Oct  7 13:17:12 2008  matrix is 58667 x 59144 (14.3 MB) with weight 3505818 (59.28/col)
Tue Oct  7 13:17:12 2008  sparse part has weight 3505818 (59.28/col)
Tue Oct  7 13:17:13 2008  filtering completed in 3 passes
Tue Oct  7 13:17:13 2008  matrix is 54053 x 54117 (13.1 MB) with weight 3220858 (59.52/col)
Tue Oct  7 13:17:13 2008  sparse part has weight 3220858 (59.52/col)
Tue Oct  7 13:17:14 2008  saving the first 48 matrix rows for later
Tue Oct  7 13:17:14 2008  matrix is 54005 x 54117 (9.9 MB) with weight 2692096 (49.75/col)
Tue Oct  7 13:17:14 2008  sparse part has weight 2262300 (41.80/col)
Tue Oct  7 13:17:14 2008  matrix includes 64 packed rows
Tue Oct  7 13:17:14 2008  using block size 21646 for processor cache size 512 kB
Tue Oct  7 13:17:15 2008  commencing Lanczos iteration
Tue Oct  7 13:17:15 2008  memory use: 8.8 MB
Tue Oct  7 13:17:48 2008  lanczos halted after 856 iterations (dim = 54005)
Tue Oct  7 13:17:48 2008  recovered 18 nontrivial dependencies
Tue Oct  7 13:17:49 2008  prp36 factor: 121426997166013585257945094641811871
Tue Oct  7 13:17:49 2008  prp54 factor: 165400438930491170714093139841463045980448069972087429
Tue Oct  7 13:17:49 2008  elapsed time 01:29:56

252253995916029232215594555960055997739757430421020264159842100261129995557626869259<84>

121810470780205711661897992036627074980747<42>
2070872842870751685650025646347946691354497<43>

Mon Oct  6 19:27:00 2008  Msieve v. 1.36
Mon Oct  6 19:27:00 2008  random seeds: c8b1b998 262548ec
Mon Oct  6 19:27:00 2008  factoring 252253995916029232215594555960055997739757430421020264159842100261129995557626869259 (84 digits)
Mon Oct  6 19:27:01 2008  no P-1/P+1/ECM available, skipping
Mon Oct  6 19:27:01 2008  commencing quadratic sieve (84-digit input)
Mon Oct  6 19:27:01 2008  using multiplier of 35
Mon Oct  6 19:27:01 2008  using 64kb Opteron sieve core
Mon Oct  6 19:27:01 2008  sieve interval: 6 blocks of size 65536
Mon Oct  6 19:27:01 2008  processing polynomials in batches of 17
Mon Oct  6 19:27:01 2008  using a sieve bound of 1400453 (53488 primes)
Mon Oct  6 19:27:01 2008  using large prime bound of 120438958 (26 bits)
Mon Oct  6 19:27:01 2008  using double large prime bound of 351059328825056 (41-49 bits)
Mon Oct  6 19:27:01 2008  using trial factoring cutoff of 49 bits
Mon Oct  6 19:27:01 2008  polynomial 'A' values have 11 factors
Mon Oct  6 19:57:53 2008  53681 relations (16403 full + 37278 combined from 566333 partial), need 53584
Mon Oct  6 19:57:53 2008  begin with 582736 relations
Mon Oct  6 19:57:53 2008  reduce to 123581 relations in 9 passes
Mon Oct  6 19:57:53 2008  attempting to read 123581 relations
Mon Oct  6 19:57:54 2008  recovered 123581 relations
Mon Oct  6 19:57:54 2008  recovered 96905 polynomials
Mon Oct  6 19:57:55 2008  attempting to build 53681 cycles
Mon Oct  6 19:57:55 2008  found 53681 cycles in 5 passes
Mon Oct  6 19:57:55 2008  distribution of cycle lengths:
Mon Oct  6 19:57:55 2008     length 1 : 16403
Mon Oct  6 19:57:55 2008     length 2 : 11163
Mon Oct  6 19:57:55 2008     length 3 : 9472
Mon Oct  6 19:57:55 2008     length 4 : 6739
Mon Oct  6 19:57:55 2008     length 5 : 4402
Mon Oct  6 19:57:55 2008     length 6 : 2532
Mon Oct  6 19:57:55 2008     length 7 : 1382
Mon Oct  6 19:57:55 2008     length 9+: 1588
Mon Oct  6 19:57:55 2008  largest cycle: 17 relations
Mon Oct  6 19:57:55 2008  matrix is 53488 x 53681 (12.1 MB) with weight 2745542 (51.15/col)
Mon Oct  6 19:57:55 2008  sparse part has weight 2745542 (51.15/col)
Mon Oct  6 19:57:56 2008  filtering completed in 4 passes
Mon Oct  6 19:57:56 2008  matrix is 47610 x 47674 (10.9 MB) with weight 2470762 (51.83/col)
Mon Oct  6 19:57:56 2008  sparse part has weight 2470762 (51.83/col)
Mon Oct  6 19:57:56 2008  saving the first 48 matrix rows for later
Mon Oct  6 19:57:56 2008  matrix is 47562 x 47674 (6.3 MB) with weight 1818216 (38.14/col)
Mon Oct  6 19:57:56 2008  sparse part has weight 1182930 (24.81/col)
Mon Oct  6 19:57:56 2008  matrix includes 64 packed rows
Mon Oct  6 19:57:56 2008  using block size 19069 for processor cache size 1024 kB
Mon Oct  6 19:57:56 2008  commencing Lanczos iteration
Mon Oct  6 19:57:56 2008  memory use: 6.1 MB
Mon Oct  6 19:58:11 2008  lanczos halted after 754 iterations (dim = 47556)
Mon Oct  6 19:58:11 2008  recovered 14 nontrivial dependencies
Mon Oct  6 19:58:12 2008  prp42 factor: 121810470780205711661897992036627074980747
Mon Oct  6 19:58:12 2008  prp43 factor: 2070872842870751685650025646347946691354497
Mon Oct  6 19:58:12 2008  elapsed time 00:31:12

Msieve v. 1.36

Opteron-2.6GHz; Linux x86_64

44511241917359155577106323878765321362023863046193398616907007659676149245603176570253558479611<95>

89692426478836592784300376550795841826967<41>
496265333259345156772057309654185119335498040025379133<54>

SNFS difficulty: 105 digits.
Divisors found:
 r1=89692426478836592784300376550795841826967
 r2=496265333259345156772057309654185119335498040025379133
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.951).
Factorization parameters were as follows:
n: 44511241917359155577106323878765321362023863046193398616907007659676149245603176570253558479611
Y1: 1
Y0: -100000000000000000000000000
c4: 13
c0: -265
skew: 2.5
type: snfs
Factor base limits: 450000/500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [225000, 265001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 46343 x 46563
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,105,4,0,0,0,0,0,0,0,0,450000,500000,25,25,44,44,2.2,2.2,20000
total time: 0.20 hours.

Msieve-1.38

Opteron-2.6GHz; Linux x86_64

2868362296881334515585997025651531016682339074705062742924681119186664562240834443696274021<91>

6918276745362442304529579011355599487433<40>
414606469566875297250530265767866835398335555183037<51>

Tue Oct  7 13:26:14 2008  Msieve v. 1.38
Tue Oct  7 13:26:14 2008  random seeds: a8c52f61 feb94d20
Tue Oct  7 13:26:14 2008  factoring 2868362296881334515585997025651531016682339074705062742924681119186664562240834443696274021 (91 digits)
Tue Oct  7 13:26:16 2008  searching for 15-digit factors
Tue Oct  7 13:26:17 2008  commencing quadratic sieve (91-digit input)
Tue Oct  7 13:26:18 2008  using multiplier of 1
Tue Oct  7 13:26:18 2008  using 64kb Pentium 4 sieve core
Tue Oct  7 13:26:18 2008  sieve interval: 18 blocks of size 65536
Tue Oct  7 13:26:18 2008  processing polynomials in batches of 6
Tue Oct  7 13:26:18 2008  using a sieve bound of 1685869 (63499 primes)
Tue Oct  7 13:26:18 2008  using large prime bound of 155099948 (27 bits)
Tue Oct  7 13:26:18 2008  using double large prime bound of 553478662336492 (42-49 bits)
Tue Oct  7 13:26:18 2008  using trial factoring cutoff of 49 bits
Tue Oct  7 13:26:18 2008  polynomial 'A' values have 12 factors
Tue Oct  7 15:42:48 2008  63914 relations (16908 full + 47006 combined from 723821 partial), need 63595
Tue Oct  7 15:42:50 2008  begin with 740729 relations
Tue Oct  7 15:42:51 2008  reduce to 156965 relations in 10 passes
Tue Oct  7 15:42:51 2008  attempting to read 156965 relations
Tue Oct  7 15:42:55 2008  recovered 156965 relations
Tue Oct  7 15:42:55 2008  recovered 133565 polynomials
Tue Oct  7 15:42:55 2008  attempting to build 63914 cycles
Tue Oct  7 15:42:55 2008  found 63914 cycles in 6 passes
Tue Oct  7 15:42:55 2008  distribution of cycle lengths:
Tue Oct  7 15:42:55 2008     length 1 : 16908
Tue Oct  7 15:42:55 2008     length 2 : 12442
Tue Oct  7 15:42:55 2008     length 3 : 11234
Tue Oct  7 15:42:55 2008     length 4 : 8455
Tue Oct  7 15:42:55 2008     length 5 : 5982
Tue Oct  7 15:42:55 2008     length 6 : 3880
Tue Oct  7 15:42:55 2008     length 7 : 2258
Tue Oct  7 15:42:55 2008     length 9+: 2755
Tue Oct  7 15:42:55 2008  largest cycle: 19 relations
Tue Oct  7 15:42:56 2008  matrix is 63499 x 63914 (15.5 MB) with weight 3794539 (59.37/col)
Tue Oct  7 15:42:56 2008  sparse part has weight 3794539 (59.37/col)
Tue Oct  7 15:42:57 2008  filtering completed in 3 passes
Tue Oct  7 15:42:57 2008  matrix is 59321 x 59385 (14.4 MB) with weight 3538343 (59.58/col)
Tue Oct  7 15:42:57 2008  sparse part has weight 3538343 (59.58/col)
Tue Oct  7 15:42:57 2008  saving the first 48 matrix rows for later
Tue Oct  7 15:42:57 2008  matrix is 59273 x 59385 (9.0 MB) with weight 2762056 (46.51/col)
Tue Oct  7 15:42:57 2008  sparse part has weight 2003226 (33.73/col)
Tue Oct  7 15:42:57 2008  matrix includes 64 packed rows
Tue Oct  7 15:42:57 2008  using block size 21845 for processor cache size 512 kB
Tue Oct  7 15:42:58 2008  commencing Lanczos iteration
Tue Oct  7 15:42:58 2008  memory use: 8.9 MB
Tue Oct  7 15:43:33 2008  lanczos halted after 939 iterations (dim = 59273)
Tue Oct  7 15:43:34 2008  recovered 17 nontrivial dependencies
Tue Oct  7 15:43:35 2008  prp40 factor: 6918276745362442304529579011355599487433
Tue Oct  7 15:43:35 2008  prp51 factor: 414606469566875297250530265767866835398335555183037
Tue Oct  7 15:43:35 2008  elapsed time 02:17:21

1644243922574071449607813042383106430834025654884963319763894161536467527858393160097058453946530073<100>

849624280316155038972453763277<30>
1577350554019897265169205252353313<34>
1226905483766051707687131862935370973<37>

Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=2391236779
Step 1 took 3248ms
Step 2 took 3033ms
********** Factor found in step 2: 849624280316155038972453763277
Found probable prime factor of 30 digits: 849624280316155038972453763277

Mon Oct  6 19:24:09 2008  Msieve v. 1.36
Mon Oct  6 19:24:09 2008  random seeds: 06327895 4682e542
Mon Oct  6 19:24:09 2008  factoring 1935260044548431731260988683498011215653904307146361370089234920583549 (70 digits)
Mon Oct  6 19:24:10 2008  no P-1/P+1/ECM available, skipping
Mon Oct  6 19:24:10 2008  commencing quadratic sieve (70-digit input)
Mon Oct  6 19:24:10 2008  using multiplier of 5
Mon Oct  6 19:24:10 2008  using 64kb Opteron sieve core
Mon Oct  6 19:24:10 2008  sieve interval: 6 blocks of size 65536
Mon Oct  6 19:24:10 2008  processing polynomials in batches of 17
Mon Oct  6 19:24:10 2008  using a sieve bound of 215143 (9551 primes)
Mon Oct  6 19:24:10 2008  using large prime bound of 20438585 (24 bits)
Mon Oct  6 19:24:10 2008  using trial factoring cutoff of 24 bits
Mon Oct  6 19:24:10 2008  polynomial 'A' values have 9 factors
Mon Oct  6 19:25:37 2008  10205 relations (4704 full + 5501 combined from 55773 partial), need 9647
Mon Oct  6 19:25:37 2008  begin with 60477 relations
Mon Oct  6 19:25:37 2008  reduce to 14980 relations in 2 passes
Mon Oct  6 19:25:37 2008  attempting to read 14980 relations
Mon Oct  6 19:25:37 2008  recovered 14980 relations
Mon Oct  6 19:25:38 2008  recovered 12682 polynomials
Mon Oct  6 19:25:38 2008  attempting to build 10205 cycles
Mon Oct  6 19:25:38 2008  found 10205 cycles in 1 passes
Mon Oct  6 19:25:38 2008  distribution of cycle lengths:
Mon Oct  6 19:25:38 2008     length 1 : 4704
Mon Oct  6 19:25:38 2008     length 2 : 5501
Mon Oct  6 19:25:38 2008  largest cycle: 2 relations
Mon Oct  6 19:25:38 2008  matrix is 9551 x 10205 (1.4 MB) with weight 297849 (29.19/col)
Mon Oct  6 19:25:38 2008  sparse part has weight 297849 (29.19/col)
Mon Oct  6 19:25:38 2008  filtering completed in 4 passes
Mon Oct  6 19:25:38 2008  matrix is 8767 x 8831 (1.2 MB) with weight 249813 (28.29/col)
Mon Oct  6 19:25:38 2008  sparse part has weight 249813 (28.29/col)
Mon Oct  6 19:25:38 2008  commencing Lanczos iteration
Mon Oct  6 19:25:38 2008  memory use: 1.6 MB
Mon Oct  6 19:25:39 2008  lanczos halted after 140 iterations (dim = 8762)
Mon Oct  6 19:25:39 2008  recovered 63 nontrivial dependencies
Mon Oct  6 19:25:40 2008  prp34 factor: 1577350554019897265169205252353313
Mon Oct  6 19:25:40 2008  prp37 factor: 1226905483766051707687131862935370973
Mon Oct  6 19:25:40 2008  elapsed time 00:01:31

GMP-ECM 6.2.1; Msieve-1.38

Opteron-2.6GHz; Linux x86_64

5556850105534860400941856415980529361598976848281810529616069149916703991904509622631115529<91>

335500273381690253463142691283043816681<39>
16562878025476215601525675460299270300212300146053409<53>

Tue Oct  7 15:52:28 2008  Msieve v. 1.38
Tue Oct  7 15:52:28 2008  random seeds: 16d200f0 5ed508d6
Tue Oct  7 15:52:28 2008  factoring 5556850105534860400941856415980529361598976848281810529616069149916703991904509622631115529 (91 digits)
Tue Oct  7 15:52:30 2008  searching for 15-digit factors
Tue Oct  7 15:52:31 2008  commencing quadratic sieve (91-digit input)
Tue Oct  7 15:52:31 2008  using multiplier of 1
Tue Oct  7 15:52:31 2008  using 64kb Pentium 4 sieve core
Tue Oct  7 15:52:31 2008  sieve interval: 18 blocks of size 65536
Tue Oct  7 15:52:31 2008  processing polynomials in batches of 6
Tue Oct  7 15:52:31 2008  using a sieve bound of 1718107 (64706 primes)
Tue Oct  7 15:52:31 2008  using large prime bound of 164938272 (27 bits)
Tue Oct  7 15:52:31 2008  using double large prime bound of 618270452838912 (42-50 bits)
Tue Oct  7 15:52:31 2008  using trial factoring cutoff of 50 bits
Tue Oct  7 15:52:31 2008  polynomial 'A' values have 12 factors
Tue Oct  7 18:39:51 2008  65214 relations (16974 full + 48240 combined from 766306 partial), need 64802
Tue Oct  7 18:39:54 2008  begin with 783280 relations
Tue Oct  7 18:39:55 2008  reduce to 162786 relations in 10 passes
Tue Oct  7 18:39:55 2008  attempting to read 162786 relations
Tue Oct  7 18:39:59 2008  recovered 162786 relations
Tue Oct  7 18:39:59 2008  recovered 142392 polynomials
Tue Oct  7 18:39:59 2008  attempting to build 65214 cycles
Tue Oct  7 18:39:59 2008  found 65213 cycles in 5 passes
Tue Oct  7 18:39:59 2008  distribution of cycle lengths:
Tue Oct  7 18:39:59 2008     length 1 : 16974
Tue Oct  7 18:39:59 2008     length 2 : 12127
Tue Oct  7 18:39:59 2008     length 3 : 11248
Tue Oct  7 18:39:59 2008     length 4 : 8709
Tue Oct  7 18:39:59 2008     length 5 : 6255
Tue Oct  7 18:39:59 2008     length 6 : 4176
Tue Oct  7 18:39:59 2008     length 7 : 2520
Tue Oct  7 18:39:59 2008     length 9+: 3204
Tue Oct  7 18:39:59 2008  largest cycle: 17 relations
Tue Oct  7 18:40:00 2008  matrix is 64706 x 65213 (16.0 MB) with weight 3920348 (60.12/col)
Tue Oct  7 18:40:00 2008  sparse part has weight 3920348 (60.12/col)
Tue Oct  7 18:40:01 2008  filtering completed in 3 passes
Tue Oct  7 18:40:01 2008  matrix is 60922 x 60986 (14.9 MB) with weight 3666150 (60.11/col)
Tue Oct  7 18:40:01 2008  sparse part has weight 3666150 (60.11/col)
Tue Oct  7 18:40:01 2008  saving the first 48 matrix rows for later
Tue Oct  7 18:40:02 2008  matrix is 60874 x 60986 (9.2 MB) with weight 2856674 (46.84/col)
Tue Oct  7 18:40:02 2008  sparse part has weight 2041678 (33.48/col)
Tue Oct  7 18:40:02 2008  matrix includes 64 packed rows
Tue Oct  7 18:40:02 2008  using block size 21845 for processor cache size 512 kB
Tue Oct  7 18:40:02 2008  commencing Lanczos iteration
Tue Oct  7 18:40:02 2008  memory use: 9.1 MB
Tue Oct  7 18:40:39 2008  lanczos halted after 963 iterations (dim = 60870)
Tue Oct  7 18:40:39 2008  recovered 15 nontrivial dependencies
Tue Oct  7 18:40:40 2008  prp39 factor: 335500273381690253463142691283043816681
Tue Oct  7 18:40:40 2008  prp53 factor: 16562878025476215601525675460299270300212300146053409
Tue Oct  7 18:40:40 2008  elapsed time 02:48:12

131408811315241709778882446115455544690473727820806141910612876582430405380071525155184407438686776994275861691<111>

2007712048273207184446462298497217117810023<43>
65452021084529422210274885461837884035260977024336997039822115743117<68>

Number: n
N=131408811315241709778882446115455544690473727820806141910612876582430405380071525155184407438686776994275861691
  ( 111 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=2007712048273207184446462298497217117810023 (pp43)
 r2=65452021084529422210274885461837884035260977024336997039822115743117 (pp68)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 1.61 hours.
Scaled time: 2.94 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_2_8_120_3
n: 131408811315241709778882446115455544690473727820806141910612876582430405380071525155184407438686776994275861691
type: snfs
skew: 0.73
deg: 5
c5: 260
c0: -53
m: 1000000000000000000000000
rlim: 500000
alim: 500000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 500000/500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved algebraic special-q in [100000, 320001)
Primes: RFBsize:41538, AFBsize:41737, largePrimes:4668741 encountered
Relations: rels:4058830, finalFF:149942
Max relations in full relation-set: 48
Initial matrix: 83342 x 149942 with sparse part having weight 20829512.
Pruned matrix : 73830 x 74310 with weight 6580037.
Total sieving time: 1.46 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.03 hours.
Total square root time: 0.04 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,122,5,0,0,0,0,0,0,0,0,500000,500000,28,28,52,52,2.5,2.5,50000
total time: 1.61 hours.
 --------- CPU info (if available) ----------

206900003716242374441738033241986981692612325017305991656996080916044991838192738016769563608899469436771239498929571<117>

19402957166974971366426216788597<32>
10663323221080904571958089552579308973412592003811372507188170021888642482959500866743<86>

Number: 28883_122
N=206900003716242374441738033241986981692612325017305991656996080916044991838192738016769563608899469436771239498929571
  ( 117 digits)
SNFS difficulty: 123 digits.
Divisors found:
 r1=19402957166974971366426216788597 (pp32)
 r2=10663323221080904571958089552579308973412592003811372507188170021888642482959500866743 (pp86)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 2.76 hours.
Scaled time: 2.12 units (timescale=0.768).
Factorization parameters were as follows:
name: 28883_122
n: 206900003716242374441738033241986981692612325017305991656996080916044991838192738016769563608899469436771239498929571
m: 1000000000000000000000000
c5: 2600
c0: -53
skew: 0.46
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 650001)
Primes: RFBsize:49098, AFBsize:64048, largePrimes:2190048 encountered
Relations: rels:2274759, finalFF:199026
Max relations in full relation-set: 28
Initial matrix: 113213 x 199026 with sparse part having weight 19677855.
Pruned matrix : 97348 x 97978 with weight 6954336.
Total sieving time: 2.63 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,123,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.76 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

23418213241135893111654536836037973463107834917996575496935072255016382759107548568754821130228089<98>

4577386029919616907920358735921111593023502164133<49>
5116066918556820603101831088148502094912304324933<49>

Number: 28883_123
N=23418213241135893111654536836037973463107834917996575496935072255016382759107548568754821130228089
  ( 98 digits)
SNFS difficulty: 124 digits.
Divisors found:
 r1=4577386029919616907920358735921111593023502164133 (pp49)
 r2=5116066918556820603101831088148502094912304324933 (pp49)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 2.74 hours.
Scaled time: 2.09 units (timescale=0.762).
Factorization parameters were as follows:
name: 28883_123
n: 23418213241135893111654536836037973463107834917996575496935072255016382759107548568754821130228089
m: 2000000000000000000000000
c5: 1625
c0: -106
skew: 0.58
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 650001)
Primes: RFBsize:49098, AFBsize:64263, largePrimes:2115498 encountered
Relations: rels:2111676, finalFF:135551
Max relations in full relation-set: 28
Initial matrix: 113427 x 135551 with sparse part having weight 12279235.
Pruned matrix : 108186 x 108817 with weight 8199310.
Total sieving time: 2.59 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,124,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.74 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

28888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883<125>

4702771018702305749095782377707818488983640114722149202591<58>
6142950352888021378812891699753388017001993925608663874220496607213<67>

SNFS difficulty: 126 digits.
Divisors found:
 r1=4702771018702305749095782377707818488983640114722149202591
 r2=6142950352888021378812891699753388017001993925608663874220496607213
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.725).
Factorization parameters were as follows:
n: 28888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883
Y1: 1
Y0: -10000000000000000000000000
c5: 13
c0: -265
skew: 1.83
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 550001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 121605 x 121827
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,126,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.00 hours.

Msieve-1.38

Opteron-2.6GHz; Linux x86_64

6540236458842401794103399181074677302807711089371634851115598459168090342694143474304890327633130114371315871<109>

7155330995836183377322672101607069373<37>
914036885595968065221316256368672623704512840186938586508794752515903627<72>

Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=1904982041
Step 1 took 3273ms
Step 2 took 3168ms
********** Factor found in step 2: 7155330995836183377322672101607069373
Found probable prime factor of 37 digits: 7155330995836183377322672101607069373
Probable prime cofactor 914036885595968065221316256368672623704512840186938586508794752515903627 has 72 digits

GMP-ECM 6.2.1

22999161219902989050763756242254328115413953432130767044127223526570030118688305537411634697583777575015585520988853<116>

165228653254615932145236476570314596911<39>
139195961274715951475738988525401637958819321233452897120611300841286875640923<78>

Number: 28883_126
N=22999161219902989050763756242254328115413953432130767044127223526570030118688305537411634697583777575015585520988853
  ( 116 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=165228653254615932145236476570314596911 (pp39)
 r2=139195961274715951475738988525401637958819321233452897120611300841286875640923 (pp78)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 4.67 hours.
Scaled time: 3.57 units (timescale=0.765).
Factorization parameters were as follows:
name: 28883_126
n: 22999161219902989050763756242254328115413953432130767044127223526570030118688305537411634697583777575015585520988853
m: 10000000000000000000000000
c5: 260
c0: -53
skew: 0.73
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 850001)
Primes: RFBsize:49098, AFBsize:64238, largePrimes:2372758 encountered
Relations: rels:2620192, finalFF:260114
Max relations in full relation-set: 28
Initial matrix: 113403 x 260114 with sparse part having weight 29757285.
Pruned matrix : 95261 x 95892 with weight 9517273.
Total sieving time: 4.50 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,127,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 4.67 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

1612722011047120431126093651159581582679062156542549515978111750383441311031911185410142095485998023922924326226163369<118>

15345026787558290531448963866298651876102210421274475955901<59>
105097373460091410047218511082896636270831228339123800626269<60>

Number: 28883_127
N=1612722011047120431126093651159581582679062156542549515978111750383441311031911185410142095485998023922924326226163369
  ( 118 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=15345026787558290531448963866298651876102210421274475955901 (pp59)
 r2=105097373460091410047218511082896636270831228339123800626269 (pp60)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 4.61 hours.
Scaled time: 3.60 units (timescale=0.780).
Factorization parameters were as follows:
name: 28883_127
n: 1612722011047120431126093651159581582679062156542549515978111750383441311031911185410142095485998023922924326226163369
m: 10000000000000000000000000
c5: 2600
c0: -53
skew: 0.46
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [400000, 950001)
Primes: RFBsize:63951, AFBsize:64048, largePrimes:1503692 encountered
Relations: rels:1505752, finalFF:174921
Max relations in full relation-set: 28
Initial matrix: 128066 x 174921 with sparse part having weight 12955403.
Pruned matrix : 114003 x 114707 with weight 6745759.
Total sieving time: 4.47 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,128,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 4.61 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

43184256179012235031192687636333472190588881801215689091140993405776276872330744228362505736131503287<101>

2131370352579613462233814865258221222956640337<46>
20261263429298435688151884603702447939050574911133385351<56>

Number: n
N=43184256179012235031192687636333472190588881801215689091140993405776276872330744228362505736131503287
  ( 101 digits)
SNFS difficulty: 129 digits.
Divisors found:

Wed Oct 08 00:36:52 2008  prp46 factor: 2131370352579613462233814865258221222956640337
Wed Oct 08 00:36:52 2008  prp56 factor: 20261263429298435688151884603702447939050574911133385351
Wed Oct 08 00:36:52 2008  elapsed time 00:10:12 (Msieve 1.38)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 2.31 hours.
Scaled time: 4.22 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_2_8_127_3
n: 43184256179012235031192687636333472190588881801215689091140993405776276872330744228362505736131503287
type: snfs
skew: 0.58
deg: 5
c5: 1625
c0: -106
m: 20000000000000000000000000
rlim: 800000
alim: 800000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 440001)
Primes: RFBsize:63951, AFBsize:64263, largePrimes:5797517 encountered
Relations: rels:4914384, finalFF:132843
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 2.22 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,129,5,0,0,0,0,0,0,0,0,800000,800000,28,28,52,52,2.5,2.5,50000
total time: 2.31 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

11293715059006721125218699148808624484633189425484405527285773064729262964941605914266882930520205027463639498969501472733<122>

236438277260853769814529260092665387318271835347<48>
47766018217713433955106464691584719775555236704971354158444251526906538639<74>

Number: 28883_130
N=11293715059006721125218699148808624484633189425484405527285773064729262964941605914266882930520205027463639498969501472733
  ( 122 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=236438277260853769814529260092665387318271835347 (pp48)
 r2=47766018217713433955106464691584719775555236704971354158444251526906538639 (pp74)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 5.80 hours.
Scaled time: 4.54 units (timescale=0.783).
Factorization parameters were as follows:
name: 28883_130
n: 11293715059006721125218699148808624484633189425484405527285773064729262964941605914266882930520205027463639498969501472733
m: 100000000000000000000000000
c5: 26
c0: -53
skew: 1.15
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [400000, 1150001)
Primes: RFBsize:63951, AFBsize:63973, largePrimes:1545334 encountered
Relations: rels:1548381, finalFF:166677
Max relations in full relation-set: 28
Initial matrix: 127990 x 166677 with sparse part having weight 14699325.
Pruned matrix : 118264 x 118967 with weight 8717232.
Total sieving time: 5.63 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 5.80 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

13180553916714386534909752569425608716853442786350982542867254483031175653902223819877567099<92>

5002428365042696296439157033787319<34>
2634831116987297229287109977599312699036948502466768118621<58>

Tue Oct  7 18:56:25 2008  Msieve v. 1.38
Tue Oct  7 18:56:25 2008  random seeds: 83ca2303 33019c16
Tue Oct  7 18:56:25 2008  factoring 13180553916714386534909752569425608716853442786350982542867254483031175653902223819877567099 (92 digits)
Tue Oct  7 18:56:26 2008  searching for 15-digit factors
Tue Oct  7 18:56:28 2008  commencing quadratic sieve (92-digit input)
Tue Oct  7 18:56:28 2008  using multiplier of 11
Tue Oct  7 18:56:28 2008  using 64kb Pentium 4 sieve core
Tue Oct  7 18:56:28 2008  sieve interval: 18 blocks of size 65536
Tue Oct  7 18:56:28 2008  processing polynomials in batches of 6
Tue Oct  7 18:56:28 2008  using a sieve bound of 1753553 (65561 primes)
Tue Oct  7 18:56:28 2008  using large prime bound of 177108853 (27 bits)
Tue Oct  7 18:56:28 2008  using double large prime bound of 702801048059511 (42-50 bits)
Tue Oct  7 18:56:28 2008  using trial factoring cutoff of 50 bits
Tue Oct  7 18:56:28 2008  polynomial 'A' values have 12 factors
Tue Oct  7 22:29:52 2008  65765 relations (16425 full + 49340 combined from 804803 partial), need 65657
Tue Oct  7 22:29:55 2008  begin with 821228 relations
Tue Oct  7 22:29:56 2008  reduce to 167642 relations in 10 passes
Tue Oct  7 22:29:56 2008  attempting to read 167642 relations
Tue Oct  7 22:30:01 2008  recovered 167642 relations
Tue Oct  7 22:30:01 2008  recovered 150130 polynomials
Tue Oct  7 22:30:01 2008  attempting to build 65765 cycles
Tue Oct  7 22:30:01 2008  found 65765 cycles in 6 passes
Tue Oct  7 22:30:01 2008  distribution of cycle lengths:
Tue Oct  7 22:30:01 2008     length 1 : 16425
Tue Oct  7 22:30:01 2008     length 2 : 11908
Tue Oct  7 22:30:01 2008     length 3 : 11132
Tue Oct  7 22:30:01 2008     length 4 : 9002
Tue Oct  7 22:30:01 2008     length 5 : 6712
Tue Oct  7 22:30:01 2008     length 6 : 4291
Tue Oct  7 22:30:01 2008     length 7 : 2786
Tue Oct  7 22:30:01 2008     length 9+: 3509
Tue Oct  7 22:30:01 2008  largest cycle: 20 relations
Tue Oct  7 22:30:01 2008  matrix is 65561 x 65765 (16.2 MB) with weight 3995981 (60.76/col)
Tue Oct  7 22:30:01 2008  sparse part has weight 3995981 (60.76/col)
Tue Oct  7 22:30:02 2008  filtering completed in 3 passes
Tue Oct  7 22:30:02 2008  matrix is 62136 x 62200 (15.5 MB) with weight 3802683 (61.14/col)
Tue Oct  7 22:30:02 2008  sparse part has weight 3802683 (61.14/col)
Tue Oct  7 22:30:03 2008  saving the first 48 matrix rows for later
Tue Oct  7 22:30:03 2008  matrix is 62088 x 62200 (9.0 MB) with weight 2903630 (46.68/col)
Tue Oct  7 22:30:03 2008  sparse part has weight 1995181 (32.08/col)
Tue Oct  7 22:30:03 2008  matrix includes 64 packed rows
Tue Oct  7 22:30:03 2008  using block size 21845 for processor cache size 512 kB
Tue Oct  7 22:30:04 2008  commencing Lanczos iteration
Tue Oct  7 22:30:04 2008  memory use: 9.2 MB
Tue Oct  7 22:30:42 2008  lanczos halted after 983 iterations (dim = 62086)
Tue Oct  7 22:30:42 2008  recovered 17 nontrivial dependencies
Tue Oct  7 22:30:43 2008  prp34 factor: 5002428365042696296439157033787319
Tue Oct  7 22:30:43 2008  prp58 factor: 2634831116987297229287109977599312699036948502466768118621
Tue Oct  7 22:30:43 2008  elapsed time 03:34:18

1913919272357337561622679648928315625899450042658316089656812190782417559767650200335819220019006690620102483015806764821280426715663<133>

41029142321912814750708583949<29>
46647801149261483258230864451435677225991269707280561420744207532823419482080864353602554573078146542987<104>

Number: 28883_137
N=1913919272357337561622679648928315625899450042658316089656812190782417559767650200335819220019006690620102483015806764821280426715663
  ( 133 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=41029142321912814750708583949 (pp29)
 r2=46647801149261483258230864451435677225991269707280561420744207532823419482080864353602554573078146542987 (pp104)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 11.37 hours.
Scaled time: 11.46 units (timescale=1.008).
Factorization parameters were as follows:
name: 28883_137
n: 1913919272357337561622679648928315625899450042658316089656812190782417559767650200335819220019006690620102483015806764821280426715663
m: 1000000000000000000000000000
c5: 2600
c0: -53
skew: 0.46
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 2275001)
Primes: RFBsize:78498, AFBsize:64048, largePrimes:1748682 encountered
Relations: rels:1827123, finalFF:206065
Max relations in full relation-set: 28
Initial matrix: 142613 x 206065 with sparse part having weight 24284636.
Pruned matrix : 129253 x 130030 with weight 14132842.
Total sieving time: 11.20 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,138,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 11.37 hours.
 --------- CPU info (if available) ----------

Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

1613344724660769886649916619810211394771546044497351298684758158261984306026169867062528357836858622513<103>

132486450373648223508514208908735758773123<42>
12177431881605206398029290707267400696763668300063466828015931<62>

Number: n
N=1613344724660769886649916619810211394771546044497351298684758158261984306026169867062528357836858622513
  ( 103 digits)
SNFS difficulty: 143 digits.
Divisors found:

Wed Oct 08 09:00:44 2008  prp42 factor: 132486450373648223508514208908735758773123
Wed Oct 08 09:00:44 2008  prp62 factor: 12177431881605206398029290707267400696763668300063466828015931
Wed Oct 08 09:00:44 2008  elapsed time 00:26:15 (Msieve 1.38)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 6.07 hours.
Scaled time: 11.10 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_2_8_141_3
n: 1613344724660769886649916619810211394771546044497351298684758158261984306026169867062528357836858622513
type: snfs
skew: 0.46
deg: 5
c5: 2600
c0: -53
m: 10000000000000000000000000000
rlim: 1300000
alim: 1300000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 1180001)
Primes: RFBsize:100021, AFBsize:100068, largePrimes:9478504 encountered
Relations: rels:8279703, finalFF:207932
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 5.87 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,143,5,0,0,0,0,0,0,0,0,1300000,1300000,28,28,52,52,2.5,2.5,100000
total time: 6.07 hours.
 --------- CPU info (if available) ----------

395254961669796004987946127703194385910388393704209881767151146015249881172862281036767220131736918647909394011455004981<120>

72608421793173348599781043468017773823555749411<47>
5443651740505919077345587202768020121504697287012529543072932930028188871<73>

Number: 28883_143
N=395254961669796004987946127703194385910388393704209881767151146015249881172862281036767220131736918647909394011455004981
  ( 120 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=72608421793173348599781043468017773823555749411 (pp47)
 r2=5443651740505919077345587202768020121504697287012529543072932930028188871 (pp73)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 17.55 hours.
Scaled time: 17.69 units (timescale=1.008).
Factorization parameters were as follows:
name: 28883_143
n: 395254961669796004987946127703194385910388393704209881767151146015249881172862281036767220131736918647909394011455004981
m: 20000000000000000000000000000
c5: 1625
c0: -106
skew: 0.58
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [650000, 3150001)
Primes: RFBsize:100021, AFBsize:100028, largePrimes:3026076 encountered
Relations: rels:3108906, finalFF:263940
Max relations in full relation-set: 28
Initial matrix: 200115 x 263940 with sparse part having weight 33430537.
Pruned matrix : 184887 x 185951 with weight 22544896.
Total sieving time: 17.21 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.24 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,144,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 17.55 hours.
 --------- CPU info (if available) ----------

Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

795211974785813302750461673722896568366746906042605051709158919773319198321998699917820402360183<96>

6321322749840508001653491196321933073104039<43>
125798350480661208614497151909486922156386678885355697<54>

Tue Oct  7 22:38:21 2008  Msieve v. 1.38
Tue Oct  7 22:38:21 2008  random seeds: dcc069ef 6a45db20
Tue Oct  7 22:38:21 2008  factoring 795211974785813302750461673722896568366746906042605051709158919773319198321998699917820402360183 (96 digits)
Tue Oct  7 22:38:23 2008  searching for 15-digit factors
Tue Oct  7 22:38:25 2008  commencing quadratic sieve (96-digit input)
Tue Oct  7 22:38:25 2008  using multiplier of 7
Tue Oct  7 22:38:25 2008  using 64kb Pentium 4 sieve core
Tue Oct  7 22:38:25 2008  sieve interval: 18 blocks of size 65536
Tue Oct  7 22:38:25 2008  processing polynomials in batches of 6
Tue Oct  7 22:38:25 2008  using a sieve bound of 2298871 (84706 primes)
Tue Oct  7 22:38:25 2008  using large prime bound of 344830650 (28 bits)
Tue Oct  7 22:38:25 2008  using double large prime bound of 2331795890236200 (43-52 bits)
Tue Oct  7 22:38:25 2008  using trial factoring cutoff of 52 bits
Tue Oct  7 22:38:25 2008  polynomial 'A' values have 13 factors
Wed Oct  8 08:11:12 2008  85140 relations (20193 full + 64947 combined from 1290119 partial), need 84802
Wed Oct  8 08:11:17 2008  begin with 1310312 relations
Wed Oct  8 08:11:19 2008  reduce to 225183 relations in 10 passes
Wed Oct  8 08:11:19 2008  attempting to read 225183 relations
Wed Oct  8 08:11:26 2008  recovered 225183 relations
Wed Oct  8 08:11:26 2008  recovered 213287 polynomials
Wed Oct  8 08:11:27 2008  attempting to build 85140 cycles
Wed Oct  8 08:11:27 2008  found 85140 cycles in 5 passes
Wed Oct  8 08:11:27 2008  distribution of cycle lengths:
Wed Oct  8 08:11:27 2008     length 1 : 20193
Wed Oct  8 08:11:27 2008     length 2 : 14574
Wed Oct  8 08:11:27 2008     length 3 : 14166
Wed Oct  8 08:11:27 2008     length 4 : 11703
Wed Oct  8 08:11:27 2008     length 5 : 8966
Wed Oct  8 08:11:27 2008     length 6 : 6093
Wed Oct  8 08:11:27 2008     length 7 : 4011
Wed Oct  8 08:11:27 2008     length 9+: 5434
Wed Oct  8 08:11:27 2008  largest cycle: 20 relations
Wed Oct  8 08:11:27 2008  matrix is 84706 x 85140 (23.0 MB) with weight 5695354 (66.89/col)
Wed Oct  8 08:11:27 2008  sparse part has weight 5695354 (66.89/col)
Wed Oct  8 08:11:29 2008  filtering completed in 3 passes
Wed Oct  8 08:11:29 2008  matrix is 81132 x 81196 (22.0 MB) with weight 5438057 (66.97/col)
Wed Oct  8 08:11:29 2008  sparse part has weight 5438057 (66.97/col)
Wed Oct  8 08:11:30 2008  saving the first 48 matrix rows for later
Wed Oct  8 08:11:30 2008  matrix is 81084 x 81196 (13.8 MB) with weight 4318391 (53.18/col)
Wed Oct  8 08:11:30 2008  sparse part has weight 3130861 (38.56/col)
Wed Oct  8 08:11:30 2008  matrix includes 64 packed rows
Wed Oct  8 08:11:30 2008  using block size 21845 for processor cache size 512 kB
Wed Oct  8 08:11:31 2008  commencing Lanczos iteration
Wed Oct  8 08:11:31 2008  memory use: 13.3 MB
Wed Oct  8 08:12:42 2008  lanczos halted after 1284 iterations (dim = 81079)
Wed Oct  8 08:12:42 2008  recovered 14 nontrivial dependencies
Wed Oct  8 08:12:45 2008  prp43 factor: 6321322749840508001653491196321933073104039
Wed Oct  8 08:12:45 2008  prp54 factor: 125798350480661208614497151909486922156386678885355697
Wed Oct  8 08:12:45 2008  elapsed time 09:34:24

16974627507843627717945773955702749601675186294235530815923866466186131022528717141096308785443772221121711419968506412116249381128747611989<140>

29588801926945123689788161696051<32>
139196806868612644199754015153798471168262938060269<51>
4121388922514085391358255144517180551116771872537841893331<58>

SNFS difficulty: 148 digits.
Divisors found:
 r1=29588801926945123689788161696051
 r2=139196806868612644199754015153798471168262938060269
 r3=4121388922514085391358255144517180551116771872537841893331
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.719).
Factorization parameters were as follows:
n: 16974627507843627717945773955702749601675186294235530815923866466186131022528717141096308785443772221121711419968506412116249381128747611989
Y1: 1
Y0: -100000000000000000000000000000
c5: 2600
c0: -53
skew: 0.46
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved rational special-q in [750000, 3750001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 291409 x 291640
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,148,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 11.00 hours.

Msieve-1.38

Opteron-2.6GHz; Linux x86_64

5501716716175370397325516787455730544812029811212504821841017486779689125976143858501663582405137361886175089<109>

97788970591581258252270720835373003<35>
56261117004221928191795911695451058499504506266353625153621755380206925363<74>

Number: 28883_149
N=5501716716175370397325516787455730544812029811212504821841017486779689125976143858501663582405137361886175089
  ( 109 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=97788970591581258252270720835373003 (pp35)
 r2=56261117004221928191795911695451058499504506266353625153621755380206925363 (pp74)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 24.19 hours.
Scaled time: 24.45 units (timescale=1.011).
Factorization parameters were as follows:
name: 28883_149
n: 5501716716175370397325516787455730544812029811212504821841017486779689125976143858501663582405137361886175089
m: 1000000000000000000000000000000
c5: 13
c0: -265
skew: 1.83
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 2100001)
Primes: RFBsize:176302, AFBsize:176698, largePrimes:6417293 encountered
Relations: rels:7070190, finalFF:1144358
Max relations in full relation-set: 28
Initial matrix: 353065 x 1144358 with sparse part having weight 107679175.
Pruned matrix : 220217 x 222046 with weight 44610337.
Total sieving time: 23.50 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.54 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 24.19 hours.
 --------- CPU info (if available) ----------

Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

2981861862120119615887713186398638205260652191842307936270171788636635958695897921592639721935067884115577828593561820025988495069401695362475623<145>

434606430250744155498232965602831581<36>
6861062456898643456131174629095768996957912069600254884539207471769541324001009925483131949479653797412862483<109>

Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=1810396645
Step 1 took 18717ms
Step 2 took 16371ms
********** Factor found in step 2: 434606430250744155498232965602831581
Found probable prime factor of 36 digits: 434606430250744155498232965602831581
Probable prime cofactor 6861062456898643456131174629095768996957912069600254884539207471769541324001009925483131949479653797412862483 has 109 digits

GMP-ECM 6.2.1

196236152372849211096736564747460278980646746291209090364477907750971469759978244588571620313870301994993603629412154026840477664547571<135>

29861311761897452258856672790427<32>
6571585131207911210838823149579888907845030427984588149967313321690114167689229511352163744579597243273<103>

Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=3981921852
Step 1 took 5012ms
Step 2 took 4817ms
********** Factor found in step 2: 29861311761897452258856672790427
Found probable prime factor of 32 digits: 29861311761897452258856672790427
Probable prime cofactor 6571585131207911210838823149579888907845030427984588149967313321690114167689229511352163744579597243273 has 103 digits

GMP-ECM 6.2.1

30880780069824376361574877541433529546434253609647535122483720592782720577763879432037719<89>

18327578493929997273111231602653<32>
1684935087308557261733642836693608542354060512864471113923<58>

Mon Oct  6 19:09:21 2008  Msieve v. 1.36
Mon Oct  6 19:09:21 2008  random seeds: 912b2852 0c5bdc26
Mon Oct  6 19:09:21 2008  factoring 30880780069824376361574877541433529546434253609647535122483720592782720577763879432037719 (89 digits)
Mon Oct  6 19:09:22 2008  no P-1/P+1/ECM available, skipping
Mon Oct  6 19:09:22 2008  commencing quadratic sieve (89-digit input)
Mon Oct  6 19:09:23 2008  using multiplier of 59
Mon Oct  6 19:09:23 2008  using 64kb Opteron sieve core
Mon Oct  6 19:09:23 2008  sieve interval: 15 blocks of size 65536
Mon Oct  6 19:09:23 2008  processing polynomials in batches of 7
Mon Oct  6 19:09:23 2008  using a sieve bound of 1545001 (58667 primes)
Mon Oct  6 19:09:23 2008  using large prime bound of 123600080 (26 bits)
Mon Oct  6 19:09:23 2008  using double large prime bound of 367818635270160 (42-49 bits)
Mon Oct  6 19:09:23 2008  using trial factoring cutoff of 49 bits
Mon Oct  6 19:09:23 2008  polynomial 'A' values have 12 factors
Mon Oct  6 20:22:39 2008  58782 relations (16284 full + 42498 combined from 616885 partial), need 58763
Mon Oct  6 20:22:39 2008  begin with 633169 relations
Mon Oct  6 20:22:40 2008  reduce to 141208 relations in 11 passes
Mon Oct  6 20:22:40 2008  attempting to read 141208 relations
Mon Oct  6 20:22:41 2008  recovered 141208 relations
Mon Oct  6 20:22:41 2008  recovered 121099 polynomials
Mon Oct  6 20:22:41 2008  attempting to build 58782 cycles
Mon Oct  6 20:22:41 2008  found 58782 cycles in 5 passes
Mon Oct  6 20:22:41 2008  distribution of cycle lengths:
Mon Oct  6 20:22:41 2008     length 1 : 16284
Mon Oct  6 20:22:41 2008     length 2 : 11594
Mon Oct  6 20:22:41 2008     length 3 : 10265
Mon Oct  6 20:22:41 2008     length 4 : 7688
Mon Oct  6 20:22:41 2008     length 5 : 5399
Mon Oct  6 20:22:41 2008     length 6 : 3363
Mon Oct  6 20:22:41 2008     length 7 : 1903
Mon Oct  6 20:22:41 2008     length 9+: 2286
Mon Oct  6 20:22:41 2008  largest cycle: 17 relations
Mon Oct  6 20:22:41 2008  matrix is 58667 x 58782 (14.9 MB) with weight 3437105 (58.47/col)
Mon Oct  6 20:22:41 2008  sparse part has weight 3437105 (58.47/col)
Mon Oct  6 20:22:42 2008  filtering completed in 3 passes
Mon Oct  6 20:22:42 2008  matrix is 54537 x 54601 (14.0 MB) with weight 3223743 (59.04/col)
Mon Oct  6 20:22:42 2008  sparse part has weight 3223743 (59.04/col)
Mon Oct  6 20:22:42 2008  saving the first 48 matrix rows for later
Mon Oct  6 20:22:42 2008  matrix is 54489 x 54601 (9.0 MB) with weight 2509159 (45.95/col)
Mon Oct  6 20:22:42 2008  sparse part has weight 1807075 (33.10/col)
Mon Oct  6 20:22:42 2008  matrix includes 64 packed rows
Mon Oct  6 20:22:42 2008  using block size 21840 for processor cache size 1024 kB
Mon Oct  6 20:22:43 2008  commencing Lanczos iteration
Mon Oct  6 20:22:43 2008  memory use: 8.0 MB
Mon Oct  6 20:23:04 2008  lanczos halted after 863 iterations (dim = 54485)
Mon Oct  6 20:23:04 2008  recovered 14 nontrivial dependencies
Mon Oct  6 20:23:05 2008  prp32 factor: 18327578493929997273111231602653
Mon Oct  6 20:23:05 2008  prp58 factor: 1684935087308557261733642836693608542354060512864471113923
Mon Oct  6 20:23:05 2008  elapsed time 01:13:44

Msieve v. 1.36

20331271654977211294393339555490793753127508716336082890964068276470475952992887907854903370728857<98>

12344721383578441602570691129719532666583<41>
1646960755389981787462956664892649361997386854346581393679<58>

GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 20331271654977211294393339555490793753127508716336082890964068276470475952992887907854903370728857 (98 digits)
Using B1=2008000, B2=2853999340, polynomial Dickson(6), sigma=809588647
Step 1 took 14062ms
********** Factor found in step 1: 12344721383578441602570691129719532666583
Found probable prime factor of 41 digits: 12344721383578441602570691129719532666583
Probable prime cofactor 1646960755389981787462956664892649361997386854346581393679 has 58 digits

540867946412947238983837576736402476646300389187376607989044293296034269709414547519382982732739649482451258823652599480116108499<129>

10313704067523250659900937829730796309<38>

52441677875563878773945469819992980394894802790218697762200342387440721101475627254741219911<92>

Input number is 540867946412947238983837576736402476646300389187376607989044293296034269709414547519382982732739649482451258823652599480116108499 (129 digits)
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=1193863371
Step 1 took 15386ms
Step 2 took 15370ms
********** Factor found in step 2: 10313704067523250659900937829730796309
Found probable prime factor of 38 digits: 10313704067523250659900937829730796309
Composite cofactor 52441677875563878773945469819992980394894802790218697762200342387440721101475627254741219911 has 92 digits

GMP-ECM 6.2.1

52441677875563878773945469819992980394894802790218697762200342387440721101475627254741219911<92>

11921264837382755488951323168235476632314123<44>
4399002839960155168477804483921875138150723586357<49>

Number: 28883_159
N=52441677875563878773945469819992980394894802790218697762200342387440721101475627254741219911
  ( 92 digits)
Divisors found:
 r1=11921264837382755488951323168235476632314123
 r2=4399002839960155168477804483921875138150723586357
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.943).
Factorization parameters were as follows:
name: 28883_159
n:  52441677875563878773945469819992980394894802790218697762200342387440721101475627254741219911
Y1: 1
Y0: -1064529985727826489681
deg: 4
c4: 40836168
c3: 202395460292
c2: 37363335780110865
c1: -807240905915521234
c0: -18833047913277457717700
skew: 1635.250
type: gnfs
# adj. I(F,S) = 52.156
# E(F1,F2) = 1.052910e-04
# GGNFS version 0.77.1-20060722-k8 polyselect.
# Options were:
# lcd=1, enumLCD=24, maxS1=58.00000000, seed=1223408207.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 700000
alim: 700000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.4
alambda: 2.4
qintsize: 40000
type: gnfs
Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [350000, 790001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 122147 x 122395
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,91,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,700000,700000,25,25,44,44,2.4,2.4,40000
total time: 1.00 hours.

Msieve-1.38+polyselect

Opteron-2.6GHz; Linux x86_64

17563742810030346118482219962830768316393397876574007624819397524539131637145339947227845276968833406707060393815181493162114024771700741<137>

24699164607397616188571642243521836798253<41>
4778115508280883342643806899807566682589691<43>
148825777520226664598083038604252245390400654880786267<54>

Number: 28883_160
N=17563742810030346118482219962830768316393397876574007624819397524539131637145339947227845276968833406707060393815181493162114024771700741
  ( 137 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=24699164607397616188571642243521836798253 (pp41)
 r2=4778115508280883342643806899807566682589691 (pp43)
 r3=148825777520226664598083038604252245390400654880786267 (pp54)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 75.15 hours.
Scaled time: 57.57 units (timescale=0.766).
Factorization parameters were as follows:
name: 28883_160
n: 17563742810030346118482219962830768316393397876574007624819397524539131637145339947227845276968833406707060393815181493162114024771700741
m: 100000000000000000000000000000000
c5: 26
c0: -53
skew: 1.15
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 4500001)
Primes: RFBsize:283146, AFBsize:282797, largePrimes:5867428 encountered
Relations: rels:5950995, finalFF:678604
Max relations in full relation-set: 28
Initial matrix: 566009 x 678604 with sparse part having weight 55712005.
Pruned matrix : 491609 x 494503 with weight 40623709.
Total sieving time: 71.62 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 3.19 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 75.15 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

95556460119776824140681734005614945558557064412858747129162824146979553114842635616632409878886974756421559331683241340660947531973593588107432156549<149>

2820898047146817411392847106167872926575917073080403520030662745443696079<73>
33874481999243789182317500712459693487731094537714674684152288464812979533931<77>

N=95556460119776824140681734005614945558557064412858747129162824146979553114842635616632409878886974756421559331683241340660947531973593588107432156549
  ( 149 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=2820898047146817411392847106167872926575917073080403520030662745443696079
 r2=33874481999243789182317500712459693487731094537714674684152288464812979533931
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.950).
Factorization parameters were as follows:
n: 95556460119776824140681734005614945558557064412858747129162824146979553114842635616632409878886974756421559331683241340660947531973593588107432156549
Y1: 1
Y0: -100000000000000000000000000000000
c5: 260
c0: -53
skew: 0.73
type: snfs
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [2250000, 3950001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 812374 x 812622
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,54,54,2.5,2.5,100000
total time: 20.00 hours.

Msieve-1.38

Opteron-2.6GHz; Linux x86_64

568390770179589408939872195752617880907878497620541326109998551022184578078602427260979786896871916978221303<108>

22070470776022600268261014908547019424559<41>
25753450207192235293374738897634290020737717214515574604202694188217<68>

Number: 28883_164
N=568390770179589408939872195752617880907878497620541326109998551022184578078602427260979786896871916978221303
  ( 108 digits)
Divisors found:
 r1=22070470776022600268261014908547019424559 (pp41)
 r2=25753450207192235293374738897634290020737717214515574604202694188217 (pp68)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 23.43 hours.
Scaled time: 11.06 units (timescale=0.472).
Factorization parameters were as follows:
name: 28883_164
n: 568390770179589408939872195752617880907878497620541326109998551022184578078602427260979786896871916978221303
skew: 7666.01
# norm 2.95e+14
c5: 187200
c4: 843376632
c3: -3418951398874
c2: -175469085741270535
c1: -370049593689987005412
c0: 1943332529637999987863604
# alpha -5.56
Y1: 118808547149
Y0: -313666462701129548531
# Murphy_E 1.31e-09
# M 262874865414326697381161367861846653573701310987028493467367656403077279337065340473173389149331409696073463
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2600001)
Primes: RFBsize:183072, AFBsize:182839, largePrimes:4583538 encountered
Relations: rels:4786702, finalFF:525654
Max relations in full relation-set: 28
Initial matrix: 365992 x 525654 with sparse part having weight 44709387.
Pruned matrix : 260833 x 262726 with weight 24752832.
Polynomial selection time: 1.20 hours.
Total sieving time: 19.51 hours.
Total relation processing time: 0.34 hours.
Matrix solve time: 2.17 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
gnfs,107,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 23.43 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

175545053350029188479712622193807947858289238010646688835359710365749635407791235397932755833241463063172111251654787140131951630486754812817265645062097<153>

265118142137434755285925832970724934903901408844488191<54>
662138969195960498557622691000644669495559191169984336202123246282041767740138009213412163051256367<99>

Number: 28883_166
N=175545053350029188479712622193807947858289238010646688835359710365749635407791235397932755833241463063172111251654787140131951630486754812817265645062097
  ( 153 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=265118142137434755285925832970724934903901408844488191 (pp54)
 r2=662138969195960498557622691000644669495559191169984336202123246282041767740138009213412163051256367 (pp99)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 133.61 hours.
Scaled time: 134.68 units (timescale=1.008).
Factorization parameters were as follows:
28883_166
n: 175545053350029188479712622193807947858289238010646688835359710365749635407791235397932755833241463063172111251654787140131951630486754812817265645062097
m: 1000000000000000000000000000000000
c5: 260
c0: -53
skew: 0.73
type: snfs
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2750000, 7650001)
Primes: RFBsize:380800, AFBsize:381462, largePrimes:6278885 encountered
Relations: rels:6593734, finalFF:945834
Max relations in full relation-set: 28
Initial matrix: 762329 x 945834 with sparse part having weight 74842668.
Pruned matrix : 619288 x 623163 with weight 56284364.
Total sieving time: 129.71 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 3.66 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,48,48,2.6,2.6,100000
total time: 133.61 hours.
 --------- CPU info (if available) ----------

Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

40200803635172132619878290809551400226863431975204543229129709070472743443263344426800924623027279256511540239797176634645520875205127<134>

641381666556496229620462884848095705753<39>
62678442074912406253135639578417547373032295596932760185025327623693360325589453770923938796959<95>

Number: 28883_167
N=40200803635172132619878290809551400226863431975204543229129709070472743443263344426800924623027279256511540239797176634645520875205127
  ( 134 digits)
SNFS difficulty: 168 digits.
Divisors found:
 r1=641381666556496229620462884848095705753 (pp39)
 r2=62678442074912406253135639578417547373032295596932760185025327623693360325589453770923938796959 (pp95)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 143.96 hours.
Scaled time: 145.25 units (timescale=1.009).
Factorization parameters were as follows:
name: 28883_167
n: 40200803635172132619878290809551400226863431975204543229129709070472743443263344426800924623027279256511540239797176634645520875205127
m: 1000000000000000000000000000000000
c5: 2600
c0: -53
skew: 0.46
type: snfs
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2750000, 8050001)
Primes: RFBsize:380800, AFBsize:380897, largePrimes:6325510 encountered
Relations: rels:6667158, finalFF:966762
Max relations in full relation-set: 28
Initial matrix: 761764 x 966762 with sparse part having weight 80074010.
Pruned matrix : 602881 x 606753 with weight 61848504.
Total sieving time: 139.97 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 3.75 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,48,48,2.6,2.6,100000
total time: 143.96 hours.
 --------- CPU info (if available) ----------

Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

15530022275600939632529461092870233851021668229533444914512534459275239413257433001511291574270575147272978232457168719715601664717323337919510184626537431961621<161>

1167093673337653327127830327069259661809<40>
13306577381392358475255309881615503665415368980360269644105388734553589493156498969747963330291726610161219478491166215269<122>

Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=304196581
Step 1 took 18965ms
Step 2 took 14725ms
********** Factor found in step 2: 1167093673337653327127830327069259661809
Found probable prime factor of 40 digits: 1167093673337653327127830327069259661809
Probable prime cofactor 13306577381392358475255309881615503665415368980360269644105388734553589493156498969747963330291726610161219478491166215269 has 122 digits

GMP-ECM 6.2.1

1183041904913862121789487507360511405235867357958253114254410674861473248732661747418446479164871080581<103>

56575334809536652290971314862111609<35>
20910913013535396971131194830319308120739735863239243650630700492909<68>

Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=67958517
Step 1 took 13433ms
Step 2 took 12543ms
********** Factor found in step 2: 56575334809536652290971314862111609
Found probable prime factor of 35 digits: 56575334809536652290971314862111609
Probable prime cofactor 20910913013535396971131194830319308120739735863239243650630700492909 has 68 digits

GMP-ECM 6.2.1

39962496733834401561611410829836614869122823196692334885722629532285086303622754030832603249258388281766342355635480549023224358678778377215228785293801201948940225327<167>

24035351007699908057581878367616649511683898296781394921019100136189478983771471809<83>
1662655008492786764992070871336132080310708411773454004559517256637120059624426981103<85>

SNFS difficulty: 171 digits.
Divisors found:
 r1=24035351007699908057581878367616649511683898296781394921019100136189478983771471809
 r2=1662655008492786764992070871336132080310708411773454004559517256637120059624426981103
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.738).
Factorization parameters were as follows:
n: 39962496733834401561611410829836614869122823196692334885722629532285086303622754030832603249258388281766342355635480549023224358678778377215228785293801201948940225327
Y1: 1
Y0: -10000000000000000000000000000000000
c5: 26
c0: -53
skew: 1.15
type: snfs
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [3000000, 6200001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1134038 x 1134286
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,171,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,54,54,2.6,2.6,100000
total time: 30.00 hours.

Msieve-1.38

Opteron-2.6GHz; Linux x86_64

37189070247254379933093515608867117606170787003243257385914198810335088069575624062314246404907190505731062435395522633044302883104269186116325126035940349949980629<164>

180794175688461612300191133500389304146671181730293708035199997373677168279<75>
205698386608080360118607066964350163888517864066216726017377451689667747458205138175489651<90>

Number: 28883_171
N=37189070247254379933093515608867117606170787003243257385914198810335088069575624062314246404907190505731062435395522633044302883104269186116325126035940349949980629
  ( 164 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=180794175688461612300191133500389304146671181730293708035199997373677168279 (pp75)
 r2=205698386608080360118607066964350163888517864066216726017377451689667747458205138175489651 (pp90)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 221.55 hours.
Scaled time: 223.54 units (timescale=1.009).
Factorization parameters were as follows:
name: 28883_171
n: 37189070247254379933093515608867117606170787003243257385914198810335088069575624062314246404907190505731062435395522633044302883104269186116325126035940349949980629
m: 10000000000000000000000000000000000
c5: 260
c0: -53
skew: 0.73
type: snfs
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3000000, 11500001)
Primes: RFBsize:412849, AFBsize:413441, largePrimes:6524908 encountered
Relations: rels:6877907, finalFF:969004
Max relations in full relation-set: 28
Initial matrix: 826357 x 969004 with sparse part having weight 93418054.
Pruned matrix : 719756 x 723951 with weight 75272991.
Total sieving time: 215.51 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 5.74 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,48,48,2.6,2.6,100000
total time: 221.55 hours.
 --------- CPU info (if available) ----------

Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

337116782011821933515410107297918359625006332284939039366799253400428908495341610094904986811667336945591516710314862017647311508574390309064646279114361539259148788683<168>

2243086562866881513988079273467<31>

150291472292069767424055033263206434728976210392907193097679201540140532262561658836638110174056704378245409474091400576686840194702606449<138>

Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=1153297637
Step 1 took 19225ms
********** Factor found in step 1: 2243086562866881513988079273467
Found probable prime factor of 31 digits: 2243086562866881513988079273467
Composite cofactor 150291472292069767424055033263206434728976210392907193097679201540140532262561658836638110174056704378245409474091400576686840194702606449 has 138 digits

GMP-ECM 6.2.1

150291472292069767424055033263206434728976210392907193097679201540140532262561658836638110174056704378245409474091400576686840194702606449<138>

9505588734014909843517432505768084428737<40>
15810853645946726698592400974520411575672816481225283858869417945537837498204945702733827218560177<98>

28883_174 =>

Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=481747367
Step 1 took 25522ms
Step 2 took 19983ms
********** Factor found in step 2: 9505588734014909843517432505768084428737
Found probable prime factor of 40 digits: 9505588734014909843517432505768084428737

...
I have already submitted one factor - and now the number is locked.
(( Factor found in step 2: 2243086562866881513988079273467 ))

Thanks,

Serge


      

1520467836257309941520467836257309941520467836257309941520467836257309941520467836257309941520467836257309941520467836257309941520467836257309941520467836257309941520467836257<175>

19864097753703704521827520997023829831149889<44>
1054510268817082005325406588880925137752766424226059<52>
72586788244848406664760136158312476684344733516938432662645506456827825620239107<80>

Number: n
N=1520467836257309941520467836257309941520467836257309941520467836257309941520467836257309941520467836257309941520467836257309941520467836257309941520467836257309941520467836257
  ( 175 digits)
SNFS difficulty: 176 digits.
Divisors found:

Sun Oct 19 19:49:27 2008  prp44 factor: 19864097753703704521827520997023829831149889
Sun Oct 19 19:49:28 2008  prp52 factor: 1054510268817082005325406588880925137752766424226059
Sun Oct 19 19:49:28 2008  prp80 factor: 72586788244848406664760136158312476684344733516938432662645506456827825620239107
Sun Oct 19 19:49:28 2008  elapsed time 03:39:37 (Msieve 1.38)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 28.77 hours.
Scaled time: 58.83 units (timescale=2.045).
Factorization parameters were as follows:
name: KA_2_8_174_3
n: 1520467836257309941520467836257309941520467836257309941520467836257309941520467836257309941520467836257309941520467836257309941520467836257309941520467836257309941520467836257
type: snfs
skew: 1.15
deg: 5
c5: 26
c0: -53
m: 100000000000000000000000000000000000
rlim: 7500000
alim: 7500000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 7500000/7500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 5400001)
Primes: RFBsize:508261, AFBsize:507306, largePrimes:15130815 encountered
Relations: rels:15517541, finalFF:1644503
Max relations in full relation-set: 28
Initial matrix: 1015633 x 1644502 with sparse part having weight 201628258.
Pruned matrix : 
Total sieving time: 28.36 hours.
Total relation processing time: 0.41 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,7500000,7500000,28,28,52,52,2.5,2.5,100000
total time: 28.77 hours.
 --------- CPU info (if available) ----------

29665636290200127180419455649077028137317077653434486786563531247392500354339170270590635270926830558664486084938703472981276936422361143743720359062755213250434458931<167>

346862580444879277150908652639967039<36>

85525617240555474172382173819100667815843948240522494414682873354596437651792766093125377614385290384434050332733282900088969513229<131>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4242469622
Step 1 took 22271ms
Step 2 took 9043ms
********** Factor found in step 2: 346862580444879277150908652639967039
Found probable prime factor of 36 digits: 346862580444879277150908652639967039
Composite cofactor 85525617240555474172382173819100667815843948240522494414682873354596437651792766093125377614385290384434050332733282900088969513229 has 131 digits

GMP-ECM 6.3

85525617240555474172382173819100667815843948240522494414682873354596437651792766093125377614385290384434050332733282900088969513229<131>

423620523367189045420004683647513020131665408847<48>
201892053200696614691006324545970203799153294107874994064293439714560039852942087907<84>

N = 85525617240555474172382173819100667815843948240522494414682873354596437651792766093125377614385290384434050332733282900088969513229 (131 digits)
SNFS difficulty: 179 digits.
Divisors found:
r1=423620523367189045420004683647513020131665408847 (pp48)
r2=201892053200696614691006324545970203799153294107874994064293439714560039852942087907 (pp84)
Version: Msieve v. 1.48
Total time: 45.98 hours.
Factorization parameters were as follows:
name: (26*10^177-53)/9
n: 85525617240555474172382173819100667815843948240522494414682873354596437651792766093125377614385290384434050332733282900088969513229
Y0: 100000000000000000000000000000000000
Y1: -1
c0: -53
c1: 0
c2: 0
c3: 0
c4: 0
c5: 2600
skew: 0.46
type: snfs
Factor base limits: 6700000/6700000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 21447236
Relations: 2639328 relations
Pruned matrix : 1530363 x 1530587
Polynomial selection time: 0.00 hours.
Total sieving time: 42.52 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 3.09 hours.
time per square root: 0.24 hours.
Prototype def-par.txt line would be: snfs,179,5,0,0,0,0,0,0,0,0,6700000,6700000,28,28,55,55,2.5,2.5,100000
total time: 45.98 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

66238711276787172076859001161717075446741682486046921910674229953224293365313158970915686659219231930169299240157041755147286355281124386829398062953310277<155>

181442170201746685666090130449504837290594058667<48>
365067895755082371783678724995370730577088272638074903294768377394455427788813827300300079109146079247674831<108>

N=66238711276787172076859001161717075446741682486046921910674229953224293365313158970915686659219231930169299240157041755147286355281124386829398062953310277
  ( 155 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=181442170201746685666090130449504837290594058667 (pp48)
 r2=365067895755082371783678724995370730577088272638074903294768377394455427788813827300300079109146079247674831 (pp108)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 119.78 hours.
Scaled time: 230.21 units (timescale=1.922).
Factorization parameters were as follows:
n: 66238711276787172076859001161717075446741682486046921910674229953224293365313158970915686659219231930169299240157041755147286355281124386829398062953310277
m: 100000000000000000000000000000000000
deg: 5
c5: 26000
c0: -53
skew: 0.29
# Murphy_E = 8.114e-11
type: snfs
lss: 1
rlim: 6800000
alim: 6800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3400000, 9800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1522193 x 1522419
Total sieving time: 116.97 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 2.26 hours.
Time per square root: 0.34 hours.
Prototype def-par.txt line would be:
snfs,179.000,5,0,0,0,0,0,0,0,0,6800000,6800000,28,28,53,53,2.5,2.5,100000
total time: 119.78 hours.
 --------- CPU info (if available) ----------

8291006061330743039924625531649382754148736470653491380299371836771431816852346312376315702282188263192345930828934730937032424077656778851<139>

3694151360312180723018719885828163760695931611624502557577497707921<67>
2244360139220201596977463363963440775110994946044220368469156959664817331<73>

N=8291006061330743039924625531649382754148736470653491380299371836771431816852346312376315702282188263192345930828934730937032424077656778851
  ( 139 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=3694151360312180723018719885828163760695931611624502557577497707921 (pp67)
 r2=2244360139220201596977463363963440775110994946044220368469156959664817331 (pp73)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 115.78 hours.
Scaled time: 222.77 units (timescale=1.924).
Factorization parameters were as follows:
n: 8291006061330743039924625531649382754148736470653491380299371836771431816852346312376315702282188263192345930828934730937032424077656778851
m: 1000000000000000000000000000000000000
deg: 5
c5: 13
c0: -265
skew: 1.83
# Murphy_E = 8.842e-11
type: snfs
lss: 1
rlim: 7300000
alim: 7300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7300000/7300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3650000, 9650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1359046 x 1359283
Total sieving time: 113.33 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 2.17 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7300000,7300000,28,28,53,53,2.5,2.5,100000
total time: 115.78 hours.
 --------- CPU info (if available) ----------

294238242274977247067112883118016044026822215221819221740521932393082834655205049159314664187314526378760616126914988167318158365330543131928204567<147>

1095801874200976694559259668059942398362699121733538025643800147<64>
268514089273233140101737518558727987871662202083943332083165446571301830246608274861<84>

N=294238242274977247067112883118016044026822215221819221740521932393082834655205049159314664187314526378760616126914988167318158365330543131928204567
  ( 147 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=1095801874200976694559259668059942398362699121733538025643800147 (pp64)
 r2=268514089273233140101737518558727987871662202083943332083165446571301830246608274861 (pp84)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 170.44 hours.
Scaled time: 327.93 units (timescale=1.924).
Factorization parameters were as follows:
n: 294238242274977247067112883118016044026822215221819221740521932393082834655205049159314664187314526378760616126914988167318158365330543131928204567
m: 1000000000000000000000000000000000000
deg: 5
c5: 2600
c0: -53
skew: 0.46
# Murphy_E = 5.95e-11
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4000000, 12800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1620119 x 1620347
Total sieving time: 167.41 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 2.60 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,183.000,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,53,53,2.5,2.5,100000
total time: 170.44 hours.
 --------- CPU info (if available) ----------

694305428642097671250448862084023997363662683995311712954267555210800438103937569827083059153287864972928024727893355495186622495426355985691537210066134647489269133273442029<174>

727393981955118375455694762027167<33>
954510823386132534224267076999378204081264448719514571031860968958789346547856870659196008785405121179513067389851384456773239692755612985587<141>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1138828095
Step 1 took 71105ms
Step 2 took 26386ms
********** Factor found in step 2: 727393981955118375455694762027167
Found probable prime factor of 33 digits: 727393981955118375455694762027167
Probable prime cofactor 954510823386132534224267076999378204081264448719514571031860968958789346547856870659196008785405121179513067389851384456773239692755612985587 has 141 digits

13540141533436495930054518792957220741496306496111028306916349658565699168165753521566894761605766595350111174577384702132883618168764458314470977124293077<155>

829258161363959762983675326509364008024210113<45>
16328017213801956969737663823944089470278335111306801934289820892342358845735041784399722587336432332455364629<110>

N=13540141533436495930054518792957220741496306496111028306916349658565699168165753521566894761605766595350111174577384702132883618168764458314470977124293077
  ( 155 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=829258161363959762983675326509364008024210113 (pp45)
 r2=16328017213801956969737663823944089470278335111306801934289820892342358845735041784399722587336432332455364629 (pp110)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 171.17 hours.
Scaled time: 329.17 units (timescale=1.923).
Factorization parameters were as follows:
n: 13540141533436495930054518792957220741496306496111028306916349658565699168165753521566894761605766595350111174577384702132883618168764458314470977124293077
m: 10000000000000000000000000000000000000
deg: 5
c5: 13
c0: -265
skew: 1.83
# Murphy_E = 5.544e-11
type: snfs
lss: 1
rlim: 8900000
alim: 8900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 600000
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, 12850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1965119 x 1965345
Total sieving time: 166.90 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 3.93 hours.
Time per square root: 0.11 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: 171.17 hours.
 --------- CPU info (if available) ----------

41269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269<185>

11967880220222771535977473028528815286409995203134321966881379578399<68>
3448383549168999632700369166622141002514388314197364283079763510370070630825743226204284898075719770357515051628529131<118>

Number: n
N=41269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269
  ( 185 digits)
SNFS difficulty: 186 digits.
Divisors found:

Sun Oct 12 22:19:14 2008  prp68 factor: 11967880220222771535977473028528815286409995203134321966881379578399
Sun Oct 12 22:19:14 2008  prp118 factor: 3448383549168999632700369166622141002514388314197364283079763510370070630825743226204284898075719770357515051628529131
Sun Oct 12 22:19:14 2008  elapsed time 16:31:56 (Msieve 1.38)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 64.71 hours.
Scaled time: 84.58 units (timescale=1.307).
Factorization parameters were as follows:
name: KA_2_8_184_3
n: 41269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269
type: snfs
skew: 1.15
deg: 5
c5: 26
c0: -53
m: 10000000000000000000000000000000000000
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 6100001)
Primes: RFBsize:602489, AFBsize:601295, largePrimes:14538080 encountered
Relations: rels:14376374, finalFF:1255184
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 64.04 hours.
Total relation processing time: 0.67 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,52,52,2.5,2.5,100000
total time: 64.71 hours.
 --------- CPU info (if available) ----------

99273830275633546850713178847832451586306309492838519027043054712108929054657483577588450859218406886955032173489514215281253263954457931224530236653835138021837202964561<170>

4405806571350986248725535064223823448621220686149401293388821506217652569<73>
22532498571582195250818256341215174676422219155535062603765144586285580133719085617908490106531769<98>

Number: 28883_187
N=99273830275633546850713178847832451586306309492838519027043054712108929054657483577588450859218406886955032173489514215281253263954457931224530236653835138021837202964561
  ( 170 digits)
SNFS difficulty: 188 digits.
Divisors found: (Total dependency: 2)
 r1=4405806571350986248725535064223823448621220686149401293388821506217652569 (pp73)
 r2=22532498571582195250818256341215174676422219155535062603765144586285580133719085617908490106531769 (pp98)
Msieve version: Msieve v. 1.49 (SVN unknown)
GGNFS version: GGNFS-0.77.1-VC8(UTE)
Total time: 339.70 hours (17.32 calendar hours).
Scaled time: 1533.75 units (timescale=4.515).
Factorization parameters were as follows:
n: 99273830275633546850713178847832451586306309492838519027043054712108929054657483577588450859218406886955032173489514215281253263954457931224530236653835138021837202964561
m: 10000000000000000000000000000000000000
deg: 5
c5: 2600
c0: -53
skew: 0.46
# Murphy_E = 3.726e-11
type: snfs
lss: 1
rlim: 9700000
alim: 9700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
relslim: 27700000
qintsize: 5000

Polynomial score was as follows:
skew 0.46, size 2.566e-013, alpha 0.409, combined = 3.726e-011 rroots = 1
Factor base limits: 9700000/9700000
Large primes per side: 3
Large prime bits: 28/28
Sieved special-q in [4850000, 23830001)
Relations: raw-rels:27877377 rels:23881619, finalFF:1679261
Pruned matrix : 1678576 x 1678801
Total sieving time: 327.74 hours (15.40 calendar hours).
Total relation processing time: 0.11 hours.
Total matrix build processing time: 0.03 hours.
Matrix pruned processing time: (N/A)
Matrix solve time: 11.72 hours (1.67 calendar hours).
Total time of square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9700000,9700000,28,28,54,54,2.5,2.5,100000
total time: 339.70 hours (17.32 calendar hours).
 --------- CPU info (if available) ----------

Msieve v. 1.49 (SVN unknown) + GGNFS-0.77.1-VC8 with 
factMsieve.pl (decomposed + modified) snfs
(without procrels.exe, matbuild.exe for "finalFF" calculation)

[Envilonment]
  PC #1   (Master) --- Intel Core i7 2600, 16GB RAM, Windows 7 64bit
  PC #2,3 (Slave)  --- Intel Core i7 4770, 16GB RAM, Windows 7 64bit
  PC #4   (Slave)  --- Intel Core 2 Quad Q6600, 4GB RAM, Windows Vista 32bit

[Threads used]
  (Sieving)
    PC #1   --- 7 threads used
    PC #2,3 --- 7 threads used x 2
    PC #4   --- 4 threads used
  (Relation processing and Matrix build processing)
    PC #1   --- 1 thread used
  (Matrix solve)
    PC #1   --- 7 threads used
  (Square root processing)
    PC #1   --- 1 thread used

13997732033637023415492961765800294539338042171005087721368238552167446101889199450951936996562834605081015815588589910242953149256650642928655322421084560732092003832254989<173>

242454230536999579574248898107253798373127<42>

57733502948718018261354841767723427867172770305995157602310194890246795713407805623527748673152399867245595657099889948217692415307<131>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1265340291
Step 1 took 26092ms
Step 2 took 10321ms
********** Factor found in step 2: 242454230536999579574248898107253798373127
Found probable prime factor of 42 digits: 242454230536999579574248898107253798373127

57733502948718018261354841767723427867172770305995157602310194890246795713407805623527748673152399867245595657099889948217692415307<131>

73952651541143383855877329528338599906295195498044099699681<59>
780681986995396907452793539483572410186061343662364583049027014047346347<72>

Number: 28883_188
N = 57733502948718018261354841767723427867172770305995157602310194890246795713407805623527748673152399867245595657099889948217692415307 (131 digits)
Divisors found:
r1=73952651541143383855877329528338599906295195498044099699681 (pp59)
r2=780681986995396907452793539483572410186061343662364583049027014047346347 (pp72)
Version: Msieve v. 1.51 (SVN 845)
Total time: 69.75 hours.
Factorization parameters were as follows:
28883_188.poly
# Murphy_E = 7.282e-11, selected by Erik Branger
n: 57733502948718018261354841767723427867172770305995157602310194890246795713407805623527748673152399867245595657099889948217692415307
Y0: -27625827541667775672369895
Y1: 80525340293381
c0: -207406380400492720503099817021248
c1: -1284583195939190072105951616
c2: 1116208582828837577434
c3: -2078043034603325
c4: -2854663424
c5: 3588
skew: 822739.17
type: gnfs
# selected mechanically
rlim: 10300000
alim: 10300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6

Factor base limits: 10300000/10300000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19071830
Relations: 2742590 relations
Pruned matrix : 1566906 x 1567134
Polynomial selection time: 0.00 hours.
Total sieving time: 67.73 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.71 hours.
time per square root: 0.19 hours.
Prototype def-par.txt line would be: gnfs,130,5,65,2000,1e-05,0.28,250,20,50000,3600,10300000,10300000,28,28,54,54,2.6,2.6,100000
total time: 69.75 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz

GGNFS, Msieve

49550037766442214391901730618439443529185227961028611095322721349401587781257562883991773927228396385842616092883138162498193736897067152222544221567551507340715466751753<170>

103199837035235633159366567046015824809629313786419361<54>

480136783060270636257610239924669843935084247759225711429084096080345872071406597752455359437526532846254631220954473<117>

Mon 2020/04/13 10:36:17 UTC GMP-ECM 7.0.5-dev [configured with GMP 6.2.0, --enable-asm-redc, --enable-assert] [ECM]
Mon 2020/04/13 10:36:17 UTC Input number is 49550037766442214391901730618439443529185227961028611095322721349401587781257562883991773927228396385842616092883138162498193736897067152222544221567551507340715466751753 (170 digits)
Mon 2020/04/13 10:36:17 UTC Run 1819 out of 4000:
Mon 2020/04/13 10:36:17 UTC Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4265662328
Mon 2020/04/13 10:36:17 UTC Step 1 took 27824ms
Mon 2020/04/13 10:36:17 UTC ********** Factor found in step 2: 103199837035235633159366567046015824809629313786419361
Mon 2020/04/13 10:36:17 UTC Found prime factor of 54 digits: 103199837035235633159366567046015824809629313786419361
Mon 2020/04/13 10:36:17 UTC Composite cofactor 480136783060270636257610239924669843935084247759225711429084096080345872071406597752455359437526532846254631220954473 has 117 digits

480136783060270636257610239924669843935084247759225711429084096080345872071406597752455359437526532846254631220954473<117>

1084235366241799973789348448668859958552750252600343<52>
442834460126984342812781072059928936214251289152911189210048694911<66>

04/15/20 03:08:14 v1.34.5 @ 10847, nfs: commencing nfs on c117: 480136783060270636257610239924669843935084247759225711429084096080345872071406597752455359437526532846254631220954473
04/15/20 03:08:14 v1.34.5 @ 10847, nfs: commencing poly selection with 4 threads
04/15/20 03:08:14 v1.34.5 @ 10847, nfs: setting deadline of 2362 seconds
04/15/20 03:47:40 v1.34.5 @ 10847, nfs: completed 85 ranges of size 250 in 2365.7664 seconds
04/15/20 03:47:40 v1.34.5 @ 10847, nfs: best poly = # norm 4.315692e-11 alpha -7.031479 e 4.367e-10 rroots 5
04/15/20 03:47:40 v1.34.5 @ 10847, nfs: commencing lattice sieving with 4 threads
04/15/20 03:57:03 v1.34.5 @ 10847, nfs: commencing lattice sieving with 4 threads
04/15/20 04:06:16 v1.34.5 @ 10847, nfs: commencing lattice sieving with 4 threads
04/15/20 04:15:13 v1.34.5 @ 10847, nfs: commencing lattice sieving with 4 threads
04/15/20 04:24:36 v1.34.5 @ 10847, nfs: commencing lattice sieving with 4 threads
04/15/20 04:33:46 v1.34.5 @ 10847, nfs: commencing lattice sieving with 4 threads
04/15/20 04:43:09 v1.34.5 @ 10847, nfs: commencing lattice sieving with 4 threads
04/15/20 04:52:42 v1.34.5 @ 10847, nfs: commencing lattice sieving with 4 threads
04/15/20 05:01:47 v1.34.5 @ 10847, nfs: commencing lattice sieving with 4 threads
04/15/20 05:11:09 v1.34.5 @ 10847, nfs: commencing lattice sieving with 4 threads
04/15/20 05:20:53 v1.34.5 @ 10847, nfs: commencing lattice sieving with 4 threads
04/15/20 05:30:05 v1.34.5 @ 10847, nfs: commencing lattice sieving with 4 threads
04/15/20 05:39:38 v1.34.5 @ 10847, nfs: commencing lattice sieving with 4 threads
04/15/20 05:49:32 v1.34.5 @ 10847, nfs: commencing lattice sieving with 4 threads
04/15/20 05:58:51 v1.34.5 @ 10847, nfs: commencing lattice sieving with 4 threads
04/15/20 06:08:25 v1.34.5 @ 10847, nfs: commencing lattice sieving with 4 threads
04/15/20 06:18:04 v1.34.5 @ 10847, nfs: commencing lattice sieving with 4 threads
04/15/20 06:27:01 v1.34.5 @ 10847, nfs: commencing lattice sieving with 4 threads
04/15/20 06:36:45 v1.34.5 @ 10847, nfs: commencing lattice sieving with 4 threads
04/15/20 06:46:11 v1.34.5 @ 10847, nfs: commencing lattice sieving with 4 threads
04/15/20 06:55:39 v1.34.5 @ 10847, nfs: commencing lattice sieving with 4 threads
04/15/20 07:05:48 v1.34.5 @ 10847, nfs: commencing lattice sieving with 4 threads
04/15/20 07:15:09 v1.34.5 @ 10847, nfs: commencing lattice sieving with 4 threads
04/15/20 07:24:45 v1.34.5 @ 10847, nfs: commencing lattice sieving with 4 threads
04/15/20 07:34:10 v1.34.5 @ 10847, nfs: commencing lattice sieving with 4 threads
04/15/20 07:44:09 v1.34.5 @ 10847, nfs: commencing lattice sieving with 4 threads
04/15/20 07:53:17 v1.34.5 @ 10847, nfs: commencing lattice sieving with 4 threads
04/15/20 08:02:28 v1.34.5 @ 10847, nfs: commencing lattice sieving with 4 threads
04/15/20 08:12:07 v1.34.5 @ 10847, nfs: commencing lattice sieving with 4 threads
04/15/20 08:21:55 v1.34.5 @ 10847, nfs: commencing lattice sieving with 4 threads
04/15/20 08:31:13 v1.34.5 @ 10847, nfs: commencing lattice sieving with 4 threads
04/15/20 08:40:53 v1.34.5 @ 10847, nfs: commencing msieve filtering
04/15/20 08:45:28 v1.34.5 @ 10847, nfs: commencing msieve linear algebra
04/15/20 09:10:11 v1.34.5 @ 10847, nfs: commencing msieve sqrt
04/15/20 09:25:24 v1.34.5 @ 10847, prp52 = 1084235366241799973789348448668859958552750252600343
04/15/20 09:25:24 v1.34.5 @ 10847, prp66 = 442834460126984342812781072059928936214251289152911189210048694911
04/15/20 09:25:25 v1.34.5 @ 10847, NFS elapsed time = 22630.5248 seconds.

Wed Apr 15 08:40:53 2020  commencing relation filtering
Wed Apr 15 08:40:53 2020  estimated available RAM is 3790.4 MB
Wed Apr 15 08:40:53 2020  commencing duplicate removal, pass 1
Wed Apr 15 08:42:22 2020  found 782312 hash collisions in 10048942 relations
Wed Apr 15 08:42:41 2020  added 62936 free relations
Wed Apr 15 08:42:41 2020  commencing duplicate removal, pass 2
Wed Apr 15 08:42:45 2020  found 499201 duplicates and 9612677 unique relations
Wed Apr 15 08:42:45 2020  memory use: 32.6 MB
Wed Apr 15 08:42:45 2020  reading ideals above 100000
Wed Apr 15 08:42:45 2020  commencing singleton removal, initial pass
Wed Apr 15 08:44:32 2020  memory use: 344.5 MB
Wed Apr 15 08:44:32 2020  reading all ideals from disk
Wed Apr 15 08:44:33 2020  memory use: 336.5 MB
Wed Apr 15 08:44:34 2020  keeping 10677501 ideals with weight <= 200, target excess is 49004
Wed Apr 15 08:44:35 2020  commencing in-memory singleton removal
Wed Apr 15 08:44:36 2020  begin with 9612677 relations and 10677501 unique ideals
Wed Apr 15 08:44:43 2020  reduce to 3292474 relations and 3158517 ideals in 20 passes
Wed Apr 15 08:44:43 2020  max relations containing the same ideal: 97
Wed Apr 15 08:44:44 2020  removing 422162 relations and 383606 ideals in 38556 cliques
Wed Apr 15 08:44:44 2020  commencing in-memory singleton removal
Wed Apr 15 08:44:45 2020  begin with 2870312 relations and 3158517 unique ideals
Wed Apr 15 08:44:47 2020  reduce to 2822289 relations and 2726056 ideals in 12 passes
Wed Apr 15 08:44:47 2020  max relations containing the same ideal: 86
Wed Apr 15 08:44:49 2020  removing 310819 relations and 272263 ideals in 38556 cliques
Wed Apr 15 08:44:49 2020  commencing in-memory singleton removal
Wed Apr 15 08:44:49 2020  begin with 2511470 relations and 2726056 unique ideals
Wed Apr 15 08:44:50 2020  reduce to 2480614 relations and 2422472 ideals in 9 passes
Wed Apr 15 08:44:50 2020  max relations containing the same ideal: 78
Wed Apr 15 08:44:52 2020  relations with 0 large ideals: 126
Wed Apr 15 08:44:52 2020  relations with 1 large ideals: 466
Wed Apr 15 08:44:52 2020  relations with 2 large ideals: 7474
Wed Apr 15 08:44:52 2020  relations with 3 large ideals: 58325
Wed Apr 15 08:44:52 2020  relations with 4 large ideals: 242735
Wed Apr 15 08:44:52 2020  relations with 5 large ideals: 561258
Wed Apr 15 08:44:52 2020  relations with 6 large ideals: 747028
Wed Apr 15 08:44:52 2020  relations with 7+ large ideals: 863202
Wed Apr 15 08:44:52 2020  commencing 2-way merge
Wed Apr 15 08:44:54 2020  reduce to 1370182 relation sets and 1312041 unique ideals
Wed Apr 15 08:44:54 2020  ignored 1 oversize relation sets
Wed Apr 15 08:44:54 2020  commencing full merge
Wed Apr 15 08:45:19 2020  memory use: 144.8 MB
Wed Apr 15 08:45:19 2020  found 673094 cycles, need 666241
Wed Apr 15 08:45:19 2020  weight of 666241 cycles is about 46912134 (70.41/cycle)
Wed Apr 15 08:45:19 2020  distribution of cycle lengths:
Wed Apr 15 08:45:19 2020  1 relations: 81611
Wed Apr 15 08:45:19 2020  2 relations: 76068
Wed Apr 15 08:45:19 2020  3 relations: 75647
Wed Apr 15 08:45:19 2020  4 relations: 66715
Wed Apr 15 08:45:19 2020  5 relations: 60045
Wed Apr 15 08:45:19 2020  6 relations: 50065
Wed Apr 15 08:45:19 2020  7 relations: 44601
Wed Apr 15 08:45:19 2020  8 relations: 37833
Wed Apr 15 08:45:19 2020  9 relations: 31942
Wed Apr 15 08:45:19 2020  10+ relations: 141714
Wed Apr 15 08:45:19 2020  heaviest cycle: 23 relations
Wed Apr 15 08:45:19 2020  commencing cycle optimization
Wed Apr 15 08:45:20 2020  start with 4121174 relations
Wed Apr 15 08:45:27 2020  pruned 75917 relations
Wed Apr 15 08:45:27 2020  memory use: 140.9 MB
Wed Apr 15 08:45:27 2020  distribution of cycle lengths:
Wed Apr 15 08:45:27 2020  1 relations: 81611
Wed Apr 15 08:45:27 2020  2 relations: 77549
Wed Apr 15 08:45:27 2020  3 relations: 77820
Wed Apr 15 08:45:27 2020  4 relations: 67778
Wed Apr 15 08:45:27 2020  5 relations: 60987
Wed Apr 15 08:45:27 2020  6 relations: 50575
Wed Apr 15 08:45:27 2020  7 relations: 44671
Wed Apr 15 08:45:27 2020  8 relations: 37645
Wed Apr 15 08:45:27 2020  9 relations: 31816
Wed Apr 15 08:45:27 2020  10+ relations: 135789
Wed Apr 15 08:45:27 2020  heaviest cycle: 23 relations
Wed Apr 15 08:45:28 2020  RelProcTime: 275
Wed Apr 15 08:45:28 2020  
Wed Apr 15 08:45:28 2020  commencing linear algebra
Wed Apr 15 08:45:29 2020  read 666241 cycles
Wed Apr 15 08:45:30 2020  cycles contain 2398001 unique relations
Wed Apr 15 08:45:52 2020  read 2398001 relations
Wed Apr 15 08:45:55 2020  using 20 quadratic characters above 134217080
Wed Apr 15 08:46:09 2020  building initial matrix
Wed Apr 15 08:46:34 2020  memory use: 301.6 MB
Wed Apr 15 08:46:34 2020  read 666241 cycles
Wed Apr 15 08:46:34 2020  matrix is 666061 x 666241 (203.3 MB) with weight 63785293 (95.74/col)
Wed Apr 15 08:46:34 2020  sparse part has weight 45311783 (68.01/col)
Wed Apr 15 08:46:42 2020  filtering completed in 2 passes
Wed Apr 15 08:46:42 2020  matrix is 664465 x 664645 (203.2 MB) with weight 63717520 (95.87/col)
Wed Apr 15 08:46:42 2020  sparse part has weight 45291355 (68.14/col)
Wed Apr 15 08:46:44 2020  matrix starts at (0, 0)
Wed Apr 15 08:46:44 2020  matrix is 664465 x 664645 (203.2 MB) with weight 63717520 (95.87/col)
Wed Apr 15 08:46:44 2020  sparse part has weight 45291355 (68.14/col)
Wed Apr 15 08:46:44 2020  saving the first 48 matrix rows for later
Wed Apr 15 08:46:44 2020  matrix includes 64 packed rows
Wed Apr 15 08:46:44 2020  matrix is 664417 x 664645 (194.9 MB) with weight 50914151 (76.60/col)
Wed Apr 15 08:46:44 2020  sparse part has weight 44458519 (66.89/col)
Wed Apr 15 08:46:44 2020  using block size 65536 for processor cache size 16384 kB
Wed Apr 15 08:46:48 2020  commencing Lanczos iteration (4 threads)
Wed Apr 15 08:46:48 2020  memory use: 166.1 MB
Wed Apr 15 08:46:54 2020  linear algebra at 0.5%, ETA 0h21m
Wed Apr 15 09:10:10 2020  lanczos halted after 10507 iterations (dim = 664417)
Wed Apr 15 09:10:11 2020  recovered 29 nontrivial dependencies
Wed Apr 15 09:10:11 2020  BLanczosTime: 1483
Wed Apr 15 09:10:11 2020  
Wed Apr 15 09:10:11 2020  commencing square root phase
Wed Apr 15 09:10:11 2020  reading relations for dependency 1
Wed Apr 15 09:10:11 2020  read 332387 cycles
Wed Apr 15 09:10:12 2020  cycles contain 1198980 unique relations
Wed Apr 15 09:10:24 2020  read 1198980 relations
Wed Apr 15 09:10:29 2020  multiplying 1198980 relations
Wed Apr 15 09:11:40 2020  multiply complete, coefficients have about 52.14 million bits
Wed Apr 15 09:11:41 2020  initial square root is modulo 30598907
Wed Apr 15 09:13:13 2020  GCD is N, no factor found
Wed Apr 15 09:13:13 2020  reading relations for dependency 2
Wed Apr 15 09:13:13 2020  read 332587 cycles
Wed Apr 15 09:13:14 2020  cycles contain 1199626 unique relations
Wed Apr 15 09:13:26 2020  read 1199626 relations
Wed Apr 15 09:13:32 2020  multiplying 1199626 relations
Wed Apr 15 09:14:43 2020  multiply complete, coefficients have about 52.16 million bits
Wed Apr 15 09:14:43 2020  initial square root is modulo 30838231
Wed Apr 15 09:16:16 2020  GCD is N, no factor found
Wed Apr 15 09:16:16 2020  reading relations for dependency 3
Wed Apr 15 09:16:16 2020  read 332122 cycles
Wed Apr 15 09:16:17 2020  cycles contain 1198608 unique relations
Wed Apr 15 09:16:29 2020  read 1198608 relations
Wed Apr 15 09:16:34 2020  multiplying 1198608 relations
Wed Apr 15 09:17:45 2020  multiply complete, coefficients have about 52.12 million bits
Wed Apr 15 09:17:45 2020  initial square root is modulo 30384793
Wed Apr 15 09:19:19 2020  GCD is 1, no factor found
Wed Apr 15 09:19:19 2020  reading relations for dependency 4
Wed Apr 15 09:19:19 2020  read 332494 cycles
Wed Apr 15 09:19:19 2020  cycles contain 1198976 unique relations
Wed Apr 15 09:19:31 2020  read 1198976 relations
Wed Apr 15 09:19:37 2020  multiplying 1198976 relations
Wed Apr 15 09:20:48 2020  multiply complete, coefficients have about 52.14 million bits
Wed Apr 15 09:20:48 2020  initial square root is modulo 30588059
Wed Apr 15 09:22:21 2020  GCD is 1, no factor found
Wed Apr 15 09:22:21 2020  reading relations for dependency 5
Wed Apr 15 09:22:21 2020  read 332098 cycles
Wed Apr 15 09:22:21 2020  cycles contain 1197448 unique relations
Wed Apr 15 09:22:33 2020  read 1197448 relations
Wed Apr 15 09:22:39 2020  multiplying 1197448 relations
Wed Apr 15 09:23:50 2020  multiply complete, coefficients have about 52.07 million bits
Wed Apr 15 09:23:51 2020  initial square root is modulo 29915297
Wed Apr 15 09:25:24 2020  sqrtTime: 913

YAFU

961297083557646051325455176597558974350282151086900200491921693067738785445310865360213681004798810645073332376600787108714455841563581077976447543859977423024751149596284649<174>

9235011307524378177614844189954982329700934572119677<52>
104092680728437587943500420687763239790931333434282632708193904354287841800934421747902852527368513930749492856618596495837<123>

p52 factor: 9235011307524378177614844189954982329700934572119677
p123 factor: 104092680728437587943500420687763239790931333434282632708193904354287841800934421747902852527368513930749492856618596495837


Msieve v. 1.54 (SVN 1032M)
random seeds: dad3d8b6 13c6f266
factoring 961297083557646051325455176597558974350282151086900200491921693067738785445310865360213681004798810645073332376600787108714455841563581077976447543859977423024751149596284649 (174 digits)
searching for 15-digit factors
commencing number field sieve (174-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: -53
A1: 0
A2: 0
A3: 0
A4: 0
A5: 260
skew 1.00, size 1.280e-13, alpha 1.005, combined = 2.422e-11 rroots = 1

commencing relation filtering
estimated available RAM is 48213.5 MB
commencing duplicate removal, pass 1
found 2357815 hash collisions in 37237432 relations
added 728214 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 37965646 unique relations
memory use: 98.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1245.9 MB
keeping 40405347 ideals with weight <= 200, target excess is 202285
commencing in-memory singleton removal
begin with 37965646 relations and 40405347 unique ideals
reduce to 14712368 relations and 13205048 ideals in 14 passes
max relations containing the same ideal: 106
removing 2098303 relations and 1698303 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 12614065 relations and 13205048 unique ideals
reduce to 12361869 relations and 11245579 ideals in 9 passes
max relations containing the same ideal: 97
removing 1682266 relations and 1282266 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 10679603 relations and 11245579 unique ideals
reduce to 10485963 relations and 9763192 ideals in 8 passes
max relations containing the same ideal: 86
removing 1586994 relations and 1186994 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 8898969 relations and 9763192 unique ideals
reduce to 8688301 relations and 8357679 ideals in 8 passes
max relations containing the same ideal: 76
removing 525982 relations and 430011 ideals in 95971 cliques
commencing in-memory singleton removal
begin with 8162319 relations and 8357679 unique ideals
reduce to 8137303 relations and 7902395 ideals in 7 passes
max relations containing the same ideal: 74
relations with 0 large ideals: 4372
relations with 1 large ideals: 10242
relations with 2 large ideals: 87009
relations with 3 large ideals: 406389
relations with 4 large ideals: 1138112
relations with 5 large ideals: 1985425
relations with 6 large ideals: 2258839
relations with 7+ large ideals: 2246915
commencing 2-way merge
reduce to 5042645 relation sets and 4807737 unique ideals
commencing full merge
memory use: 560.4 MB
found 2358316 cycles, need 2331937
weight of 2331937 cycles is about 209924759 (90.02/cycle)
distribution of cycle lengths:
1 relations: 195653
2 relations: 196938
3 relations: 205725
4 relations: 200527
5 relations: 195703
6 relations: 181574
7 relations: 170234
8 relations: 154351
9 relations: 139395
10+ relations: 691837
heaviest cycle: 26 relations
commencing cycle optimization
start with 17106316 relations
pruned 573447 relations
memory use: 507.3 MB
distribution of cycle lengths:
1 relations: 195653
2 relations: 201511
3 relations: 213478
4 relations: 207413
5 relations: 202864
6 relations: 187388
7 relations: 175560
8 relations: 158158
9 relations: 142352
10+ relations: 647560
heaviest cycle: 26 relations
RelProcTime: 706
elapsed time 00:11:47


Msieve v. 1.54 (SVN 1032M)
random seeds: 61779efc 33bc9cf9
factoring 961297083557646051325455176597558974350282151086900200491921693067738785445310865360213681004798810645073332376600787108714455841563581077976447543859977423024751149596284649 (174 digits)
searching for 15-digit factors
commencing number field sieve (174-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: -53
A1: 0
A2: 0
A3: 0
A4: 0
A5: 260
skew 1.00, size 1.280e-13, alpha 1.005, combined = 2.422e-11 rroots = 1

commencing linear algebra
read 2331937 cycles
cycles contain 7980341 unique relations
read 7980341 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 971.8 MB
read 2331937 cycles
matrix is 2331759 x 2331937 (855.7 MB) with weight 248772545 (106.68/col)
sparse part has weight 198667903 (85.19/col)
filtering completed in 2 passes
matrix is 2331072 x 2331250 (855.6 MB) with weight 248747024 (106.70/col)
sparse part has weight 198657639 (85.22/col)
matrix starts at (0, 0)
matrix is 2331072 x 2331250 (855.6 MB) with weight 248747024 (106.70/col)
sparse part has weight 198657639 (85.22/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2331024 x 2331250 (810.1 MB) with weight 204992489 (87.93/col)
sparse part has weight 189037830 (81.09/col)
using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
commencing Lanczos iteration (12 threads)
memory use: 769.3 MB
linear algebra at 0.1%, ETA 1h42m
checkpointing every 1460000 dimensions
lanczos halted after 36868 iterations (dim = 2331020)
recovered 35 nontrivial dependencies
BLanczosTime: 5748
elapsed time 01:35:49


Msieve v. 1.54 (SVN 1032M)
random seeds: e947eb4a 50a23d4b
factoring 961297083557646051325455176597558974350282151086900200491921693067738785445310865360213681004798810645073332376600787108714455841563581077976447543859977423024751149596284649 (174 digits)
searching for 15-digit factors
commencing number field sieve (174-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: -53
A1: 0
A2: 0
A3: 0
A4: 0
A5: 260
skew 1.00, size 1.280e-13, alpha 1.005, combined = 2.422e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1165098 cycles
cycles contain 3989510 unique relations
read 3989510 relations
multiplying 3989510 relations
multiply complete, coefficients have about 119.83 million bits
initial square root is modulo 399229531
GCD is 1, no factor found
reading relations for dependency 2
read 1165110 cycles
cycles contain 3987644 unique relations
read 3987644 relations
multiplying 3987644 relations
multiply complete, coefficients have about 119.78 million bits
initial square root is modulo 395635451
sqrtTime: 618
p52 factor: 9235011307524378177614844189954982329700934572119677
p123 factor: 104092680728437587943500420687763239790931333434282632708193904354287841800934421747902852527368513930749492856618596495837
elapsed time 00:10:20

CADO-NFS/Msieve

90137648586510939544905917486115526125509009733984476872176928261990800383561750062977770133468667169323819427431177784009977311665927174849540942030734852154000984417451771433535129<182>

233948408030972261370023921501248280422579230481195601<54>
107364190578448740457889688379508213740943833119862916279073581<63>
3588613412062468961426599934006354849570911105274260802160756090509<67>

Number: n
N=90137648586510939544905917486115526125509009733984476872176928261990800383561750062977770133468667169323819427431177784009977311665927174849540942030734852154000984417451771433535129
  ( 182 digits)
SNFS difficulty: 193 digits.
Divisors found:

Thu Mar 22 18:28:49 2012  prp54 factor: 233948408030972261370023921501248280422579230481195601
Thu Mar 22 18:28:49 2012  prp63 factor: 107364190578448740457889688379508213740943833119862916279073581
Thu Mar 22 18:28:49 2012  prp67 factor: 3588613412062468961426599934006354849570911105274260802160756090509
Thu Mar 22 18:28:49 2012  elapsed time 05:06:18 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.640).
Factorization parameters were as follows:
name: KA_28883_192
n: 90137648586510939544905917486115526125509009733984476872176928261990800383561750062977770133468667169323819427431177784009977311665927174849540942030734852154000984417451771433535129
m: 100000000000000000000000000000000000000
#  c182, diff: 193.41
skew: 0.46
deg: 5
c5: 2600
c0: -53
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 17200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8657161 hash collisions in 77298924 relations (70905189 unique)
Msieve: matrix is 1593285 x 1593511 (449.6 MB)

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

31465950211184935071221968074162824190054339275557007830180687167943458107928209224364327294291350494378486971886383715160536857519756986046061310193757639569642619419332195718210313570296143<191>

33131310762757534463314113982209864083<38>

949734540734059667011737519492193550057699281014965411093905490630203178374931330861533970341294050228827482597677330651031537089155308322620878537348821<153>

GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]

31465950211184935071221968074162824190054339275557007830180687167943458107928209224364327294291350494378486971886383715160536857519756986046061310193757639569642619419332195718210313570296143
=
33131310762757534463314113982209864083* 949734540734059667011737519492193550057699281014965411093905490630203178374931330861533970341294050228827482597677330651031537089155308322620878537348821

949734540734059667011737519492193550057699281014965411093905490630203178374931330861533970341294050228827482597677330651031537089155308322620878537348821<153>

71560706656797374735771430031012361122553971299922847<53>
13271732283038414200610610109504916259462244445922036888329639191659200740560005511971751385434751243<101>

949734540734059667011737519492193550057699281014965411093905490630203178374931330861533970341294050228827482597677330651031537089155308322620878537348821=71560706656797374735771430031012361122553971299922847*13271732283038414200610610109504916259462244445922036888329639191659200740560005511971751385434751243

cado polynomial
n: 949734540734059667011737519492193550057699281014965411093905490630203178374931330861533970341294050228827482597677330651031537089155308322620878537348821
skew: 1.83
type: snfs
c0: -265
c5: 13
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 13*x^5-265
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13000000
tasks.lim1 = 13000000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 13271732283038414200610610109504916259462244445922036888329639191659200740560005511971751385434751243 71560706656797374735771430031012361122553971299922847
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 5.47/2.2052
Info:Generate Free Relations: Total cpu/real time for freerel: 102.3/26.3713
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 29676126
Info:Lattice Sieving: Average J: 1893.36 for 3750710 special-q, max bucket fill -bkmult 1.0,1s:1.130940
Info:Lattice Sieving: Total time: 936572s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 56.94/155.896
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 155.10000000000005s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 487.65/485.977
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 426.6s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 405.51/430.974
Info:Filtering - Merging: Merged matrix has 2742037 rows and total weight 468954359 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 397.28/114.835
Info:Filtering - Merging: Total cpu/real time for replay: 107.4/93.7977
Info:Linear Algebra: Total cpu/real time for bwc: 134356/34334.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 21945.44, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (86016 iterations)
Info:Linear Algebra: Lingen CPU time 561.7, WCT time 162.27
Info:Linear Algebra: Mksol: WCT time 11936.95, iteration CPU time 0.26, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (43008 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 95.63/40.7001
Info:Square Root: Total cpu/real time for sqrt: 1329.65/412.255
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.82411e+06/258736
Info:root: Cleaning up computation data in /tmp/cado.w_gejjkd
13271732283038414200610610109504916259462244445922036888329639191659200740560005511971751385434751243 71560706656797374735771430031012361122553971299922847

cado-nfs-3.0.0

6 x Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

29105431994641667184200620635167144303179709037950898249158273030780456979702138578819245383772622270014672719773691759777188389<128>

75596565104432146039405528529<29>
385009979678762504086786747134199125917805790129411664760128132679332492042940092757602857005240341<99>

Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=3961827852
Step 1 took 4420ms
Step 2 took 3764ms
********** Factor found in step 2: 75596565104432146039405528529
Found probable prime factor of 29 digits: 75596565104432146039405528529
Probable prime cofactor 385009979678762504086786747134199125917805790129411664760128132679332492042940092757602857005240341 has 99 digits

GMP-ECM 6.2.1

1582345108603982661611706982720383655881907539668129039586324840442861636804193331387900881731990650214878509885649335490215778985971299509623339118082753253223947520039503123917443919148469987<193>

99702319614580169855411929984280159751927071464169353<53>
112879180833728107731930758513538191485513904518507517567<57>
140598956467960922663752484626699497444761638897555138382562440204673333874313016437<84>

Number: n
N=1582345108603982661611706982720383655881907539668129039586324840442861636804193331387900881731990650214878509885649335490215778985971299509623339118082753253223947520039503123917443919148469987
  ( 193 digits)
SNFS difficulty: 200 digits.
Divisors found:

Tue Oct 26 14:36:02 2010  prp53 factor: 99702319614580169855411929984280159751927071464169353
Tue Oct 26 14:36:02 2010  prp57 factor: 112879180833728107731930758513538191485513904518507517567
Tue Oct 26 14:36:02 2010  prp84 factor: 140598956467960922663752484626699497444761638897555138382562440204673333874313016437
Tue Oct 26 14:36:02 2010  elapsed time 09:03:15 (Msieve 1.44 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.084).
Factorization parameters were as follows:
name: KA_2_8_198_3
n: 1582345108603982661611706982720383655881907539668129039586324840442861636804193331387900881731990650214878509885649335490215778985971299509623339118082753253223947520039503123917443919148469987
m: 2000000000000000000000000000000000000000
deg: 5
c5: 8125
c0: -53
skew: 0.37
type: snfs
lss: 1
rlim: 15300000
alim: 15300000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 15300000/15300000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 21950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6335511 hash collisions in 49045033 relations
Msieve: matrix is 2286084 x 2286309 (650.2 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,200,5,0,0,0,0,0,0,0,0,15300000,15300000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.65 BogoMIPS (lpj=2830329)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830450)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Total of 4 processors activated (22643.40 BogoMIPS).

128795759647297765888938425719522464952692326744934859067716847476098479219299549214841234457819388715509981671372665576856392727993262991033833655322732451577748055679397632139495715064150195670481<198>

1122891043063499300397046028860259110510362089603833836841519<61>
114700139824709944947549097588800537244671592745208301914546443009726570234479963997583593042030271231169869530665744108323843803528447999<138>

Number: n
N=128795759647297765888938425719522464952692326744934859067716847476098479219299549214841234457819388715509981671372665576856392727993262991033833655322732451577748055679397632139495715064150195670481
  ( 198 digits)
SNFS difficulty: 201 digits.
Divisors found:

Thu Apr 22 00:26:15 2010  prp61 factor: 1122891043063499300397046028860259110510362089603833836841519
Thu Apr 22 00:26:15 2010  prp138 factor: 114700139824709944947549097588800537244671592745208301914546443009726570234479963997583593042030271231169869530665744108323843803528447999
Thu Apr 22 00:26:15 2010  elapsed time 08:34:36 (Msieve 1.42 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.660).
Factorization parameters were as follows:
name: KA_2_8_199_3
n: 128795759647297765888938425719522464952692326744934859067716847476098479219299549214841234457819388715509981671372665576856392727993262991033833655322732451577748055679397632139495715064150195670481
m: 10000000000000000000000000000000000000000
deg: 5
c5: 26
c0: -53
skew: 1.15
type: snfs
lss: 1
rlim: 15900000
alim: 15900000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 15900000/15900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 20250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4792950 hash collisions in 32427397 relations
Msieve: matrix is 2254122 x 2254347 (639.4 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,15900000,15900000,28,28,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6060216k/7077888k available (3972k kernel code, 787972k absent, 229700k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.79 BogoMIPS (lpj=2798398)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797551)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44762.55 BogoMIPS).

20846560570197994927010282956282109907418741830075825379278085912859705875807082383054292873833339229475796070324037968702364057868688580711344882865300560724349<161>

14547107664863174119264709809936747027083323881700350219149290223549109<71>
1433038171605095605578405546541125117380653089473368837972729901136421193084887276174344361<91>

Number: n
N=20846560570197994927010282956282109907418741830075825379278085912859705875807082383054292873833339229475796070324037968702364057868688580711344882865300560724349  ( 161 digits)
SNFS difficulty: 202 digits.
Divisors found:

Tue Dec 26 22:18:02 2023  prp71 factor: 14547107664863174119264709809936747027083323881700350219149290223549109
Tue Dec 26 22:18:02 2023  prp91 factor: 1433038171605095605578405546541125117380653089473368837972729901136421193084887276174344361
Tue Dec 26 22:18:02 2023  elapsed time 03:00:48 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.104).
Factorization parameters were as follows:
#
# N = 26x10^201-53 = 28(200)3
#
n: 20846560570197994927010282956282109907418741830075825379278085912859705875807082383054292873833339229475796070324037968702364057868688580711344882865300560724349
m: 10000000000000000000000000000000000000000
deg: 5
c5: 260
c0: -53
skew: 0.73
# Murphy_E = 1.038e-11
type: snfs
lss: 1
rlim: 16500000
alim: 16500000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16500000/16500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 48250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3484696 hash collisions in 19118781 relations (15989466 unique)
Msieve: matrix is 2376928 x 2377154 (667.1 MB)

Sieving start time: 2023/12/26 00:30:52
Sieving end time  : 2023/12/26 19:16:51

Total sieving time: 18hrs 45min 59secs.

Total relation processing time: 2hrs 52min 52sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 53sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16500000,16500000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

508112410878724458819201544533070041390882152660840061136667856515782978885306789874539070580617759669694177947668079410552719566157131561189498225422194703<156>

255734376119298683215859845920412756944419<42>
1986875673850326665568157162377965413921846211930213866225273560834674752530207840862283568926636764656231525164837<115>

#
# N = 26x10^203-53 = 28(202)3
#
n: 508112410878724458819201544533070041390882152660840061136667856515782978885306789874539070580617759669694177947668079410552719566157131561189498225422194703
m: 10000000000000000000000000000000000
deg: 6
c6: 13
c0: -265
skew: 1.65
# Murphy_E = 7.997e-12
type: snfs
lss: 1
rlim: 18400000
alim: 18400000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 508112410878724458819201544533070041390882152660840061136667856515782978885306789874539070580617759669694177947668079410552719566157131561189498225422194703 (156 digits)
Using B1=36470000, B2=192389627446, polynomial Dickson(12), sigma=1:360490141
Step 1 took 86760ms
Step 2 took 30182ms
********** Factor found in step 2: 255734376119298683215859845920412756944419
Found prime factor of 42 digits: 255734376119298683215859845920412756944419
Prime cofactor 1986875673850326665568157162377965413921846211930213866225273560834674752530207840862283568926636764656231525164837 has 115 digits

25619444159230343883785342090787602816700698806439740551268683726332258328895980083430101322240089835834200899053372490231442263176871366977042396994345964234551023331<167>

694430743408346543317934266065283<33>
36892727464062353803746935998125110790437863065618259953712823593194923501179666721819922557179370336183877369556062715328482342983457<134>

Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=2172110407
Step 1 took 20453ms
Step 2 took 15109ms
********** Factor found in step 2: 694430743408346543317934266065283
Found probable prime factor of 33 digits: 694430743408346543317934266065283
Probable prime cofactor 36892727464062353803746935998125110790437863065618259953712823593194923501179666721819922557179370336183877369556062715328482342983457 has 134 digits

GMP-ECM 6.2.1

130380235907444276505472908888208719828204223811012819358297377102386160683692609902194814698674332779963561818700511207291258739233134823385390894723756564806585630286794181643<177>

7820116104038038865248694435677276158133<40>

16672416901856534978828126691966286818580863257577322988733940764577535197455498159445663632863289327508371097129875118153254061485697471<137>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2113927963
Step 1 took 100787ms
Step 2 took 31329ms
********** Factor found in step 2: 7820116104038038865248694435677276158133
Found probable prime factor of 40 digits: 7820116104038038865248694435677276158133

16672416901856534978828126691966286818580863257577322988733940764577535197455498159445663632863289327508371097129875118153254061485697471<137>

199129698089302637953117967873480810390257788243589471031489<60>
83726420829401070715176436757509323551820697232707675136558382891929763584639<77>

Number: 28883_205
N = 16672416901856534978828126691966286818580863257577322988733940764577535197455498159445663632863289327508371097129875118153254061485697471 (137 digits)
Divisors found:
r1=199129698089302637953117967873480810390257788243589471031489 (pp60)
r2=83726420829401070715176436757509323551820697232707675136558382891929763584639 (pp77)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 117.56 hours.
Factorization parameters were as follows:
# Murphy_E = 3.442e-11, selected by Erik Branger
# expecting poly E from 3.48e-011 to > 4.01e-011
n: 16672416901856534978828126691966286818580863257577322988733940764577535197455498159445663632863289327508371097129875118153254061485697471
Y0: -319090544532711962854115998
Y1: 211100120623423
c0: -10551628727020695575590913352876435
c1: 19736748416251062209362596768
c2: 39536055549588723108633
c3: -36256967502996202
c4: -28954205932
c5: 5040
skew: 1315680.83
type: gnfs
# selected mechanically
rlim: 14400000
alim: 14400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 14400000/14400000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 22362570
Relations: 3604888 relations
Pruned matrix : 2171990 x 2172216
Polynomial selection time: 0.00 hours.
Total sieving time: 114.17 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 3.16 hours.
time per square root: 0.11 hours.
Prototype def-par.txt line would be: gnfs,136,5,65,2000,1e-05,0.28,250,20,50000,3600,14400000,14400000,28,28,55,55,2.6,2.6,100000
total time: 117.56 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz

GGNFS, Msieve

11961817756245205290904356179291616330666421400230391263516374608447391633043889796503841972237140802347573566259065507705417512893519267099233581604379018832646341624766819596331929779548192209241<197>

76374204656211541488657974941980929<35>

156621176090667758693507611372443655864170121611137534631331535398537252573789096514860359281496710743006185421096103330867164305470718925457273487596846434928729<162>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2924473540
Step 1 took 36784ms
Step 2 took 12536ms
********** Factor found in step 2: 76374204656211541488657974941980929
Found probable prime factor of 35 digits: 76374204656211541488657974941980929

156621176090667758693507611372443655864170121611137534631331535398537252573789096514860359281496710743006185421096103330867164305470718925457273487596846434928729<162>

28217547269776474315093822307602809739<38>

5550488658467601655317632907379728102100862810367355725866485068251032137745733094083087999166291610404977250230294191034411<124>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4079992771
Step 1 took 66668ms
Step 2 took 22150ms
********** Factor found in step 2: 28217547269776474315093822307602809739
Found probable prime factor of 38 digits: 28217547269776474315093822307602809739

5550488658467601655317632907379728102100862810367355725866485068251032137745733094083087999166291610404977250230294191034411<124>

179012084628061888026383193649999304699543719559933444232607<60>
31006223239062311275168659263149647499272835988537997877366096373<65>

Number: 28883_206
N = 5550488658467601655317632907379728102100862810367355725866485068251032137745733094083087999166291610404977250230294191034411 (124 digits)
Divisors found:
r1=179012084628061888026383193649999304699543719559933444232607 (pp60)
r2=31006223239062311275168659263149647499272835988537997877366096373 (pp65)
Version: Msieve v. 1.51 (SVN 845)
Total time: 63.79 hours.
Factorization parameters were as follows:
# Murphy_E = 1.651e-10, selected by Erik Branger
n: 5550488658467601655317632907379728102100862810367355725866485068251032137745733094083087999166291610404977250230294191034411
Y0: -895098400234870021868979
Y1: 387529074691
c0: 1225908551661436637853319267160
c1: 26283761035748808604165758
c2: -190219249735359061465
c3: -4269689506881006
c4: 9683523518
c5: 9660
skew: 179052.95
type: gnfs
# selected mechanically
rlim: 6600000
alim: 6600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6600000/6600000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10500853
Relations: 1596806 relations
Pruned matrix : 940302 x 940527
Polynomial selection time: 0.00 hours.
Total sieving time: 62.86 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.75 hours.
time per square root: 0.12 hours.
Prototype def-par.txt line would be: gnfs,123,5,65,2000,1e-05,0.28,250,20,50000,3600,6600000,6600000,27,27,52,52,2.5,2.5,100000
total time: 63.79 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz

GGNFS, Msieve

3994427731801348373078330396141615758811979417741495354587839418427764843163579942963661631735451129313349814714977781810128588552898318806711887545273032481102254127784831611713<178>

1579768867763504788166328288826507816341708046750391<52>
2528488700664358100238871846791490378197096622109254079307131307687460592299158246486701266994802944860178809274820581257023943<127>

10/03/24 20:45:57 v1.34.5 @ TRIGKEY,
10/03/24 20:45:57 v1.34.5 @ TRIGKEY, ****************************
10/03/24 20:45:57 v1.34.5 @ TRIGKEY, Starting factorization of 25999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999947
10/03/24 20:45:57 v1.34.5 @ TRIGKEY, using pretesting plan: normal
10/03/24 20:45:57 v1.34.5 @ TRIGKEY, no tune info: using qs/gnfs crossover of 100 digits
10/03/24 20:45:57 v1.34.5 @ TRIGKEY, ****************************
10/03/24 20:45:57 v1.34.5 @ TRIGKEY, div: found prime factor = 3
10/03/24 20:45:57 v1.34.5 @ TRIGKEY, div: found prime factor = 3
10/03/24 20:45:57 v1.34.5 @ TRIGKEY, div: found prime factor = 3
10/03/24 20:45:57 v1.34.5 @ TRIGKEY, div: found prime factor = 173
10/03/24 20:45:57 v1.34.5 @ TRIGKEY, rho: x^2 + 3, starting 1000 iterations on C205
10/03/24 20:45:57 v1.34.5 @ TRIGKEY, rho: x^2 + 2, starting 1000 iterations on C205
10/03/24 20:45:57 v1.34.5 @ TRIGKEY, prp6 = 988579
10/03/24 20:45:57 v1.34.5 @ TRIGKEY, rho: x^2 + 2, starting 1000 iterations on C199
10/03/24 20:45:57 v1.34.5 @ TRIGKEY, rho: x^2 + 1, starting 1000 iterations on C199
10/03/24 20:45:57 v1.34.5 @ TRIGKEY, pm1: starting B1 = 150K, B2 = gmp-ecm default on C199
10/03/24 20:45:57 v1.34.5 @ TRIGKEY, prp10 = 1201505863
10/03/24 20:45:57 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 0.00
10/03/24 20:45:57 v1.34.5 @ TRIGKEY, scheduled 30 curves at B1=2000 toward target pretesting depth of 58.46
10/03/24 20:45:57 v1.34.5 @ TRIGKEY, prp13 = 1173198873857 (curve 7 stg2 B1=2000 sigma=2324250429 thread=0)
10/03/24 20:45:57 v1.34.5 @ TRIGKEY, Finished 7 curves using Lenstra ECM method on C190 input, B1=2K, B2=gmp-ecm default
10/03/24 20:45:57 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 0.00
10/03/24 20:45:57 v1.34.5 @ TRIGKEY, scheduled 23 curves at B1=2000 toward target pretesting depth of 54.77
10/03/24 20:45:57 v1.34.5 @ TRIGKEY, Finished 23 curves using Lenstra ECM method on C178 input, B1=2K, B2=gmp-ecm default
10/03/24 20:45:57 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 15.18
10/03/24 20:45:57 v1.34.5 @ TRIGKEY, scheduled 74 curves at B1=11000 toward target pretesting depth of 54.77
10/03/24 20:45:59 v1.34.5 @ TRIGKEY, Finished 74 curves using Lenstra ECM method on C178 input, B1=11K, B2=gmp-ecm default
10/03/24 20:45:59 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 20.24
10/03/24 20:45:59 v1.34.5 @ TRIGKEY, scheduled 214 curves at B1=50000 toward target pretesting depth of 54.77
10/03/24 20:46:33 v1.34.5 @ TRIGKEY, nfs: commencing nfs on c209: 25999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999947
10/03/24 20:46:33 v1.34.5 @ TRIGKEY, nfs: input divides 26*10^207 - 53
10/03/24 20:46:33 v1.34.5 @ TRIGKEY, nfs: using supplied cofactor: 3994427731801348373078330396141615758811979417741495354587839418427764843163579942963661631735451129313349814714977781810128588552898318806711887545273032481102254127784831611713
10/03/24 20:46:33 v1.34.5 @ TRIGKEY, nfs: commencing snfs on c178: 3994427731801348373078330396141615758811979417741495354587839418427764843163579942963661631735451129313349814714977781810128588552898318806711887545273032481102254127784831611713
10/03/24 20:46:34 v1.34.5 @ TRIGKEY, gen: best 3 polynomials:
n: 3994427731801348373078330396141615758811979417741495354587839418427764843163579942963661631735451129313349814714977781810128588552898318806711887545273032481102254127784831611713
# 26*10^207-53, difficulty: 210.41, anorm: -1.19e+027, rnorm: 1.48e+047
# scaled difficulty: 213.76, suggest sieving rational side
# size = 9.850e-015, alpha = 0.409, combined = 4.867e-012, rroots = 1
type: snfs
size: 210
skew: 0.4591
c5: 2600
c0: -53
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
n: 3994427731801348373078330396141615758811979417741495354587839418427764843163579942963661631735451129313349814714977781810128588552898318806711887545273032481102254127784831611713
# 26*10^207-53, difficulty: 209.32, anorm: -3.81e+026, rnorm: 2.09e+047
# scaled difficulty: 212.77, suggest sieving rational side
# size = 9.120e-015, alpha = 0.640, combined = 4.621e-012, rroots = 1
type: snfs
size: 209
skew: 0.9181
c5: 325
c0: -212
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
n: 3994427731801348373078330396141615758811979417741495354587839418427764843163579942963661631735451129313349814714977781810128588552898318806711887545273032481102254127784831611713
# 26*10^207-53, difficulty: 211.41, anorm: -3.84e+033, rnorm: 1.68e+040
# scaled difficulty: 212.52, suggest sieving rational side
# size = 1.275e-010, alpha = -0.952, combined = 3.967e-012, rroots = 2
type: snfs
size: 211
skew: 0.3561
c6: 26000
c0: -53
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
10/03/24 20:46:35 v1.34.5 @ TRIGKEY, test: fb generation took 1.6538 seconds
10/03/24 20:46:35 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 0 on the rational side over range 21400000-21402000
skew: 0.4591
c5: 2600
c0: -53
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
10/03/24 20:49:32 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
10/03/24 20:49:34 v1.34.5 @ TRIGKEY, test: fb generation took 1.5824 seconds
10/03/24 20:49:34 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 1 on the rational side over range 21400000-21402000
skew: 0.9181
c5: 325
c0: -212
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
10/03/24 20:52:31 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
10/03/24 20:52:34 v1.34.5 @ TRIGKEY, test: fb generation took 2.5050 seconds
10/03/24 20:52:34 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 2 on the rational side over range 22600000-22602000
skew: 0.3561
c6: 26000
c0: -53
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
10/03/24 20:55:23 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
10/03/24 20:55:23 v1.34.5 @ TRIGKEY, gen: selected polynomial:
n: 3994427731801348373078330396141615758811979417741495354587839418427764843163579942963661631735451129313349814714977781810128588552898318806711887545273032481102254127784831611713
# 26*10^207-53, difficulty: 210.41, anorm: -1.19e+027, rnorm: 1.48e+047
# scaled difficulty: 213.76, suggest sieving rational side
# size = 9.850e-015, alpha = 0.409, combined = 4.867e-012, rroots = 1
type: snfs
size: 210
skew: 0.4591
c5: 2600
c0: -53
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
10/05/24 16:16:54 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
10/05/24 16:18:49 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 22085007
10/05/24 18:48:25 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
10/05/24 18:50:28 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 23215351
10/05/24 21:36:47 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
10/05/24 21:38:53 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 24459787
10/06/24 00:24:16 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
10/06/24 00:26:28 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 25684751
10/06/24 04:28:52 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
10/06/24 04:31:09 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 27018303
10/06/24 07:48:32 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
10/06/24 07:52:55 v1.34.5 @ TRIGKEY, nfs: commencing msieve linear algebra
10/06/24 11:25:54 v1.34.5 @ TRIGKEY, nfs: commencing msieve sqrt
10/06/24 11:34:01 v1.34.5 @ TRIGKEY, prp52 = 1579768867763504788166328288826507816341708046750391
10/06/24 11:34:01 v1.34.5 @ TRIGKEY, prp127 = 2528488700664358100238871846791490378197096622109254079307131307687460592299158246486701266994802944860178809274820581257023943
10/06/24 11:34:01 v1.34.5 @ TRIGKEY, NFS elapsed time = 222447.7018 seconds.
10/06/24 11:34:01 v1.34.5 @ TRIGKEY,
10/06/24 11:34:01 v1.34.5 @ TRIGKEY,
10/03/24 20:55:23 v1.34.5 @ TRIGKEY, test: test sieving took 529.36 seconds

YAFU

6104094537432540827829643345231111123459224814603492548823723472102477289936549124529776268723901870291953247322754870871423135334278140721710072502942464509317696728099306857228917778986567393113941<199>

5696373047756975432345878533294413<34>
1071575630011821520721084469602477890414379323100075456462225211544231119599327225068812358656562866143798791678716497252975920380882768589247896720015425359635554857<166>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=848187652
Step 1 took 37178ms
Step 2 took 12641ms
********** Factor found in step 2: 5696373047756975432345878533294413
Found probable prime factor of 34 digits: 5696373047756975432345878533294413

9116862918887722947316135290136115008832995365965201558393066931515742243240658773714542753716255110961566507355448184858365519628909175381607424046617297240977450151386736038138951349042719049383861891<202>

254099168745046904104114508221174859<36>
35879152867419350155318437056198755040400666689908267524480890512280488705940757035446587019812295255540663157802578849888739801086266608082150527489294905612860558249<167>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1630480796
Step 1 took 26100ms
Step 2 took 10904ms
********** Factor found in step 2: 254099168745046904104114508221174859
Found probable prime factor of 36 digits: 254099168745046904104114508221174859

1520467836257309941520467836257309941520467836257309941520467836257309941520467836257309941520467836257309941520467836257309941520467836257309941520467836257309941520467836257309941520467836257309941520467836257<211>

2282176632989756411656415048991301<34>
666235826919946641602119884025819683683919154448590882223997881075893060613774874532390140609958824969926011168802001106406992342931892729266364107705286639660667586448113602157<177>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2406093671
Step 1 took 26918ms
Step 2 took 10891ms
********** Factor found in step 2: 2282176632989756411656415048991301
Found probable prime factor of 34 digits: 2282176632989756411656415048991301

1722923740191361366934165739040409313553324594846568778901159471808954297148096365111806900037389442554271175277670857803726481416164381898732288878750420571280589721941737592381116022057513864536858603<202>

29727055001769974882238638265050037319100207067162230761982468940583724657749358055285758471614723803025003860579620783072676797947450710006146076293509126312347921893743489337487297119625357572390381<200>

5766766681578540224986556100522516181562663<43>
2629786736957168937241540679991993182982064726401703<52>
1960193638212007201135499872189998882220470959127059602411641578890681016679312366061995436137392415015229<106>

Number: n
N=29727055001769974882238638265050037319100207067162230761982468940583724657749358055285758471614723803025003860579620783072676797947450710006146076293509126312347921893743489337487297119625357572390381  ( 200 digits)
SNFS difficulty: 216 digits.
Divisors found:

Fri Oct 23 05:20:34 2020  found factor: 2629786736957168937241540679991993182982064726401703
Fri Oct 23 05:25:51 2020  p43 factor: 5766766681578540224986556100522516181562663
Fri Oct 23 05:25:51 2020  p52 factor: 2629786736957168937241540679991993182982064726401703
Fri Oct 23 05:25:51 2020  p106 factor: 1960193638212007201135499872189998882220470959127059602411641578890681016679312366061995436137392415015229
Fri Oct 23 05:25:51 2020  elapsed time 06:19:07 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 26x10^214-53 = 28(213)3
#
n: 29727055001769974882238638265050037319100207067162230761982468940583724657749358055285758471614723803025003860579620783072676797947450710006146076293509126312347921893743489337487297119625357572390381
m: 10000000000000000000000000000000000000000000
deg: 5
c5: 13
c0: -265
skew: 1.83
# Murphy_E = 2.73e-12
type: snfs
lss: 1
rlim: 28000000
alim: 28000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 28000000/28000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 70000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9878689 hash collisions in 58453600 relations (50163535 unique)
Msieve: matrix is 3939613 x 3939838 (1382.8 MB)

Sieving start time: 2020/10/21 18:27:54
Sieving end time  : 2020/10/22 22:52:08

Total sieving time: 28hrs 24min 14secs.

Total relation processing time: 5hrs 52min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 38sec.

Prototype def-par.txt line would be:
snfs,216,5,0,0,0,0,0,0,0,0,28000000,28000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117041] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16242464K/16727236K available (14339K kernel code, 2398K rwdata, 4956K rodata, 2716K init, 4988K bss, 484772K reserved, 0K cma-reserved)
[    0.153518] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.08 BogoMIPS (lpj=12798176)
[    0.152035] smpboot: Total of 16 processors activated (102385.40 BogoMIPS)

48215442597246772180956836196583683082496404763002745166644717652941231395291315887568882954368013083735172561598860562496681222186433487953015607868523970329811874783173413922642947387<185>

45362060754169739145426891311925731<35>
1062902385730232648114643952102411338350504261912478717632895324040288225993759778146801895521717390543560804075726524807200125965565958523945987903177<151>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=991511848
Step 1 took 32294ms
Step 2 took 11650ms
********** Factor found in step 2: 45362060754169739145426891311925731
Found probable prime factor of 35 digits: 45362060754169739145426891311925731

11871912794673390280640985912003497178647988036329984863964643296952862415603518377360969048144135114683815900821099805111922936012065281845617106325833425654069968191838530178955114533766815521<194>

149646311097227365434442803826469<33>
137591281122428693985268941376865759<36>

576585568082952429520461229955155551065331306121616053872832552479834874307376723501778652613537420031146085332501236533652051<126>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=8642252
Step 1 took 38770ms
Step 2 took 12737ms
********** Factor found in step 2: 149646311097227365434442803826469
Found probable prime factor of 33 digits: 149646311097227365434442803826469

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1735152110
Step 1 took 26996ms
Step 2 took 9861ms
********** Factor found in step 2: 137591281122428693985268941376865759
Found probable prime factor of 36 digits: 137591281122428693985268941376865759
Composite cofactor 576585568082952429520461229955155551065331306121616053872832552479834874307376723501778652613537420031146085332501236533652051 has 126 digits

576585568082952429520461229955155551065331306121616053872832552479834874307376723501778652613537420031146085332501236533652051<126>

807313541805248586611575808094611165191477<42>
714202770330891375643901235133357394344640197669245947760884451410884116512721257063<84>

N=576585568082952429520461229955155551065331306121616053872832552479834874307376723501778652613537420031146085332501236533652051
  ( 126 digits)
Divisors found:
 r1=807313541805248586611575808094611165191477 (pp42)
 r2=714202770330891375643901235133357394344640197669245947760884451410884116512721257063 (pp84)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 72.53 hours.
Scaled time: 139.47 units (timescale=1.923).
Factorization parameters were as follows:
n: 576585568082952429520461229955155551065331306121616053872832552479834874307376723501778652613537420031146085332501236533652051
skew: 1186534.53
c0: 430144964631558782896482448990695
c1: 1383791330171840187386459301
c2: -1700822227971590180722
c3: -3131874214897660
c4: 1574919132
c5: 504
Y0: -4089651974938636942650248
Y1: 4440366139469
type: gnfs
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2800000, 6400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 893990 x 894225
Total sieving time: 71.47 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.80 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
gnfs,125,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5600000,5600000,27,27,54,54,2.5,2.5,100000
total time: 72.53 hours.
 --------- CPU info (if available) ----------

77056486840694154301938077299094292640742978528294714323289065081892648332065519585204548576695495071882753353811065021797402204034257179641970358244905744521267509978176011188977158525763160730575780843<203>

449078378333784489535203376367969093507<39>
171588058028081507728920397032330110283603100819261664126547167026036356374606274337332493228915237103358683682600448484807232539829185485489480483793808999372957049<165>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3791084369
Step 1 took 86434ms
Step 2 took 33176ms
********** Factor found in step 2: 449078378333784489535203376367969093507
Found probable prime factor of 39 digits: 449078378333784489535203376367969093507

1668312861790622290219603311899373210083526733886086166591923348262608360511020537363948039119153527775120770152743148618372749384175787330345913081775383686760798538783498150212787998648384359022534935849273<208>

1453032624017013000763127203926120827602414537<46>

1148159259616932493498885730410222309098428211072342896293472151729863707483579954125488380953971034412631227559922324217957647238936367459870566601621679576902129<163>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=690260957
Step 1 took 81093ms
Step 2 took 27856ms
********** Factor found in step 2: 1453032624017013000763127203926120827602414537
Found probable prime factor of 46 digits: 1453032624017013000763127203926120827602414537

114110986000624007986527262195442557034016161932712461983590973312057780492408944772039621467027896928763670833460465933681000277532984627810595879539137123009378436639449148375386375394280407086620059743<204>

1429949364043194166140210375322519922265550152935435414024046420237962102453417331461503260894676195138879066953494671300894300637663897128695102088367<151>

14117451707179041981684143259991268996595592821091837249246761875226496839538549472687058651590976651742595084473437617548729727725038385874244125383398983380315373836187<170>

145911915526978237684054265832303407370103308999238952652810607107335259665108456487277859104194834700673541108964822492228795120254204129807295105709040234624581940428456816033635134433<186>

30723479775785650317304769111707826256727<41>

4749198873038365918058128614884715814678523110875835076889931916004566749599986954184799092052994368980963734691034187036469133910100309055539079<145>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3900110891
Step 1 took 91586ms
Step 2 took 34054ms
********** Factor found in step 2: 30723479775785650317304769111707826256727
Found probable prime factor of 41 digits: 30723479775785650317304769111707826256727

4749198873038365918058128614884715814678523110875835076889931916004566749599986954184799092052994368980963734691034187036469133910100309055539079<145>

280989247470751082413299473872495720244740703<45>
2440362493956337382154420951559699282236111241<46>
6925901539131042572747260842405952827578058804031851473<55>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1240604439
Step 1 took 36067ms
Step 2 took 15436ms
********** Factor found in step 2: 280989247470751082413299473872495720244740703
Found probable prime factor of 45 digits: 280989247470751082413299473872495720244740703
Composite cofactor (101-digit) = 

prp46 factor: 2440362493956337382154420951559699282236111241
prp55 factor: 6925901539131042572747260842405952827578058804031851473

GMP-ECM 6.5; Msieve v. 1.51 (SVN 719M)

368791587822017221422682090252215115916753952321463510871481179597621297560792637524429091641599194243570898606003962005641891486297326695012954413668495750889301127183222675043572437129542186665791903<201>

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