13134316926483983138813019248616429042447873964579374960033279850860865097622778585192963327669049<98>

3198714675065427922561621520496084003147464052427<49>
4106123321616776594835801868588745437723505467787<49>

Tue Nov 18 21:23:34 2008  Msieve v. 1.38
Tue Nov 18 21:23:34 2008  random seeds: 88f8d981 9b86cb57
Tue Nov 18 21:23:34 2008  factoring 131343169264839831388130192486164290424478739645793749600332798508608650976227785851
92963327669049 (98 digits)
Tue Nov 18 21:23:35 2008  searching for 15-digit factors
Tue Nov 18 21:23:35 2008  commencing number field sieve (98-digit input)
Tue Nov 18 21:23:35 2008  R0: -200000000000000000000000000
Tue Nov 18 21:23:35 2008  R1:  1
Tue Nov 18 21:23:35 2008  A0:  184
Tue Nov 18 21:23:35 2008  A1:  0
Tue Nov 18 21:23:35 2008  A2:  0
Tue Nov 18 21:23:35 2008  A3:  0
Tue Nov 18 21:23:35 2008  A4:  155
Tue Nov 18 21:23:35 2008  size score = 1.988154e-11, Murphy alpha = -0.372646, combined = 2.307732e-11
Tue Nov 18 21:23:35 2008
Tue Nov 18 21:23:35 2008  commencing linear algebra
Tue Nov 18 21:23:35 2008  read 61369 cycles
Tue Nov 18 21:23:35 2008  cycles contain 223451 unique relations
Tue Nov 18 21:23:37 2008  read 223451 relations
Tue Nov 18 21:23:37 2008  using 32 quadratic characters above 33553800
Tue Nov 18 21:23:40 2008  building initial matrix
Tue Nov 18 21:23:41 2008  memory use: 33.2 MB
Tue Nov 18 21:23:42 2008  read 61369 cycles
Tue Nov 18 21:23:42 2008  matrix is 61200 x 61369 (18.8 MB) with weight 6127987 (99.85/col)
Tue Nov 18 21:23:42 2008  sparse part has weight 4258924 (69.40/col)
Tue Nov 18 21:23:42 2008  filtering completed in 2 passes
Tue Nov 18 21:23:42 2008  matrix is 60983 x 61152 (18.8 MB) with weight 6114373 (99.99/col)
Tue Nov 18 21:23:42 2008  sparse part has weight 4252319 (69.54/col)
Tue Nov 18 21:23:43 2008  read 61152 cycles
Tue Nov 18 21:23:43 2008  matrix is 60983 x 61152 (18.8 MB) with weight 6114373 (99.99/col)
Tue Nov 18 21:23:43 2008  sparse part has weight 4252319 (69.54/col)
Tue Nov 18 21:23:43 2008  saving the first 42 matrix rows for later
Tue Nov 18 21:23:43 2008  matrix is 60941 x 61152 (18.1 MB) with weight 4859342 (79.46/col)
Tue Nov 18 21:23:43 2008  sparse part has weight 4127287 (67.49/col)
Tue Nov 18 21:23:43 2008  matrix includes 64 packed rows
Tue Nov 18 21:23:43 2008  using block size 24460 for processor cache size 1024 kB
Tue Nov 18 21:23:44 2008  commencing Lanczos iteration
Tue Nov 18 21:23:44 2008  memory use: 15.9 MB
Tue Nov 18 21:24:21 2008  lanczos halted after 965 iterations (dim = 60941)
Tue Nov 18 21:24:22 2008  recovered 56 nontrivial dependencies
Tue Nov 18 21:24:22 2008  elapsed time 00:00:48
...
Tue Nov 18 21:26:26 2008  reading relations for dependency 9
Tue Nov 18 21:26:26 2008  read 30637 cycles
Tue Nov 18 21:26:26 2008  cycles contain 142049 unique relations
Tue Nov 18 21:26:27 2008  read 142049 relations
Tue Nov 18 21:26:28 2008  multiplying 112056 relations
Tue Nov 18 21:26:32 2008  multiply complete, coefficients have about 2.92 million bits
Tue Nov 18 21:26:32 2008  initial square root is modulo 5340481
Tue Nov 18 21:26:40 2008  prp49 factor: 3198714675065427922561621520496084003147464052427
Tue Nov 18 21:26:40 2008  prp49 factor: 4106123321616776594835801868588745437723505467787
Tue Nov 18 21:26:40 2008  elapsed time 00:02:14
Total time: 0.20 hr

9860102592069001383943623141214283234414689376330949043038392340073766181537242128302425721437<94>

66660839637703797959802996348497475557<38>
147914467409319341807551757070456364919452883686409154841<57>

Wed Nov 19 17:28:28 2008  Msieve v. 1.38
Wed Nov 19 17:28:28 2008  random seeds: a1a1aef0 7bf371c4
Wed Nov 19 17:28:28 2008  factoring 9860102592069001383943623141214283234414689376330949043038392340073766181537242128302425721437 (94 digits)
Wed Nov 19 17:28:29 2008  searching for 15-digit factors
Wed Nov 19 17:28:30 2008  commencing quadratic sieve (94-digit input)
Wed Nov 19 17:28:31 2008  using multiplier of 5
Wed Nov 19 17:28:31 2008  using 32kb Intel Core sieve core
Wed Nov 19 17:28:31 2008  sieve interval: 36 blocks of size 32768
Wed Nov 19 17:28:31 2008  processing polynomials in batches of 6
Wed Nov 19 17:28:31 2008  using a sieve bound of 2090159 (77647 primes)
Wed Nov 19 17:28:31 2008  using large prime bound of 296802578 (28 bits)
Wed Nov 19 17:28:31 2008  using double large prime bound of 1780089192091634 (42-51 bits)
Wed Nov 19 17:28:31 2008  using trial factoring cutoff of 51 bits
Wed Nov 19 17:28:31 2008  polynomial 'A' values have 12 factors
Wed Nov 19 20:37:28 2008  78136 relations (19584 full + 58552 combined from 1130179 partial), need 77743
Wed Nov 19 20:37:29 2008  begin with 1149763 relations
Wed Nov 19 20:37:30 2008  reduce to 201982 relations in 10 passes
Wed Nov 19 20:37:30 2008  attempting to read 201982 relations
Wed Nov 19 20:37:33 2008  recovered 201982 relations
Wed Nov 19 20:37:33 2008  recovered 183781 polynomials
Wed Nov 19 20:37:33 2008  attempting to build 78136 cycles
Wed Nov 19 20:37:33 2008  found 78136 cycles in 5 passes
Wed Nov 19 20:37:33 2008  distribution of cycle lengths:
Wed Nov 19 20:37:33 2008     length 1 : 19584
Wed Nov 19 20:37:33 2008     length 2 : 13798
Wed Nov 19 20:37:33 2008     length 3 : 13098
Wed Nov 19 20:37:33 2008     length 4 : 10641
Wed Nov 19 20:37:33 2008     length 5 : 7922
Wed Nov 19 20:37:33 2008     length 6 : 5134
Wed Nov 19 20:37:33 2008     length 7 : 3396
Wed Nov 19 20:37:33 2008     length 9+: 4563
Wed Nov 19 20:37:33 2008  largest cycle: 20 relations
Wed Nov 19 20:37:33 2008  matrix is 77647 x 78136 (20.8 MB) with weight 5127022 (65.62/col)
Wed Nov 19 20:37:33 2008  sparse part has weight 5127022 (65.62/col)
Wed Nov 19 20:37:34 2008  filtering completed in 3 passes
Wed Nov 19 20:37:34 2008  matrix is 73700 x 73764 (19.6 MB) with weight 4846871 (65.71/col)
Wed Nov 19 20:37:34 2008  sparse part has weight 4846871 (65.71/col)
Wed Nov 19 20:37:35 2008  saving the first 48 matrix rows for later
Wed Nov 19 20:37:35 2008  matrix is 73652 x 73764 (13.0 MB) with weight 3892828 (52.77/col)
Wed Nov 19 20:37:35 2008  sparse part has weight 2964524 (40.19/col)
Wed Nov 19 20:37:35 2008  matrix includes 64 packed rows
Wed Nov 19 20:37:35 2008  using block size 29505 for processor cache size 1024 kB
Wed Nov 19 20:37:36 2008  commencing Lanczos iteration
Wed Nov 19 20:37:36 2008  memory use: 12.2 MB
Wed Nov 19 20:38:15 2008  lanczos halted after 1166 iterations (dim = 73647)
Wed Nov 19 20:38:15 2008  recovered 14 nontrivial dependencies
Wed Nov 19 20:38:16 2008  prp38 factor: 66660839637703797959802996348497475557
Wed Nov 19 20:38:16 2008  prp57 factor: 147914467409319341807551757070456364919452883686409154841
Wed Nov 19 20:38:16 2008  elapsed time 03:09:48

13934511616736270932637732753690812614764701004280694412608764883229631350012507024186653767769<95>

69802549992863458713524079329578454901797<41>
199627543953063622202577954734848009773487912524010277<54>

SNFS difficulty: 111 digits.
Divisors found:
 r1=69802549992863458713524079329578454901797 (pp41)
 r2=199627543953063622202577954734848009773487912524010277 (pp54)
Version: Msieve-1.38
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.952).
Factorization parameters were as follows:
n: 13934511616736270932637732753690812614764701004280694412608764883229631350012507024186653767769
m: 10000000000000000000000
deg: 5
c5: 31
c0: 230
skew: 1.49
type: snfs
lss: 1
rlim: 500000
alim: 500000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.4
alambda: 2.4
Factor base limits: 500000/500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [250000, 350001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 85464 x 85706
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,111,5,0,0,0,0,0,0,0,0,500000,500000,25,25,46,46,2.4,2.4,50000
total time: 0.44 hours.

Msieve-1.38

Opteron-2.8GHz; Linux x86_64

139777105042267525685082956492088152402569060014210488994392747415396006411028434868773720397<93>

3975100330099347670994035324751549335101971<43>
35163164054974719903847065656342696717857873144607<50>

Wed Nov 19 13:41:10 2008  Msieve v. 1.38
Wed Nov 19 13:41:10 2008  random seeds: bfad5480 388ed57c
Wed Nov 19 13:41:10 2008  factoring 139777105042267525685082956492088152402569060014210488994392747415396006411028434868773720397 (93 digits)
Wed Nov 19 13:41:11 2008  searching for 15-digit factors
Wed Nov 19 13:41:12 2008  commencing quadratic sieve (93-digit input)
Wed Nov 19 13:41:12 2008  using multiplier of 13
Wed Nov 19 13:41:12 2008  using 32kb Intel Core sieve core
Wed Nov 19 13:41:12 2008  sieve interval: 36 blocks of size 32768
Wed Nov 19 13:41:12 2008  processing polynomials in batches of 6
Wed Nov 19 13:41:12 2008  using a sieve bound of 1883459 (70588 primes)
Wed Nov 19 13:41:12 2008  using large prime bound of 220364703 (27 bits)
Wed Nov 19 13:41:12 2008  using double large prime bound of 1041491185153848 (42-50 bits)
Wed Nov 19 13:41:12 2008  using trial factoring cutoff of 50 bits
Wed Nov 19 13:41:12 2008  polynomial 'A' values have 12 factors
Wed Nov 19 15:56:38 2008  70878 relations (17907 full + 52971 combined from 923444 partial), need 70684
Wed Nov 19 15:56:39 2008  begin with 941351 relations
Wed Nov 19 15:56:40 2008  reduce to 179498 relations in 11 passes
Wed Nov 19 15:56:40 2008  attempting to read 179498 relations
Wed Nov 19 15:56:42 2008  recovered 179498 relations
Wed Nov 19 15:56:42 2008  recovered 160366 polynomials
Wed Nov 19 15:56:42 2008  attempting to build 70878 cycles
Wed Nov 19 15:56:42 2008  found 70878 cycles in 6 passes
Wed Nov 19 15:56:42 2008  distribution of cycle lengths:
Wed Nov 19 15:56:42 2008     length 1 : 17907
Wed Nov 19 15:56:42 2008     length 2 : 13088
Wed Nov 19 15:56:42 2008     length 3 : 12320
Wed Nov 19 15:56:42 2008     length 4 : 9634
Wed Nov 19 15:56:42 2008     length 5 : 6870
Wed Nov 19 15:56:42 2008     length 6 : 4475
Wed Nov 19 15:56:42 2008     length 7 : 2898
Wed Nov 19 15:56:42 2008     length 9+: 3686
Wed Nov 19 15:56:42 2008  largest cycle: 18 relations
Wed Nov 19 15:56:43 2008  matrix is 70588 x 70878 (17.4 MB) with weight 4284487 (60.45/col)
Wed Nov 19 15:56:43 2008  sparse part has weight 4284487 (60.45/col)
Wed Nov 19 15:56:43 2008  filtering completed in 3 passes
Wed Nov 19 15:56:43 2008  matrix is 66684 x 66747 (16.5 MB) with weight 4055106 (60.75/col)
Wed Nov 19 15:56:43 2008  sparse part has weight 4055106 (60.75/col)
Wed Nov 19 15:56:44 2008  saving the first 48 matrix rows for later
Wed Nov 19 15:56:44 2008  matrix is 66636 x 66747 (9.6 MB) with weight 3057518 (45.81/col)
Wed Nov 19 15:56:44 2008  sparse part has weight 2109132 (31.60/col)
Wed Nov 19 15:56:44 2008  matrix includes 64 packed rows
Wed Nov 19 15:56:44 2008  using block size 26698 for processor cache size 1024 kB
Wed Nov 19 15:56:44 2008  commencing Lanczos iteration
Wed Nov 19 15:56:44 2008  memory use: 9.8 MB
Wed Nov 19 15:57:12 2008  lanczos halted after 1056 iterations (dim = 66632)
Wed Nov 19 15:57:12 2008  recovered 14 nontrivial dependencies
Wed Nov 19 15:57:13 2008  prp43 factor: 3975100330099347670994035324751549335101971
Wed Nov 19 15:57:13 2008  prp50 factor: 35163164054974719903847065656342696717857873144607
Wed Nov 19 15:57:13 2008  elapsed time 02:16:03

On binary, Windows Vista)

35609779952610354232635219525330182100718764866412978203425728886616766922185519127563770057<92>

16577521209685874321282377576121847403429763<44>
2148076271608348625324510255199205373704302291139<49>

Wed Nov 19 13:44:43 2008  Msieve v. 1.38
Wed Nov 19 13:44:43 2008  random seeds: 127574c0 4e76b20c
Wed Nov 19 13:44:43 2008  factoring 35609779952610354232635219525330182100718764866412978203425728886616766922185519127563770057 (92 digits)
Wed Nov 19 13:44:47 2008  searching for 15-digit factors
Wed Nov 19 13:44:52 2008  commencing quadratic sieve (92-digit input)
Wed Nov 19 13:44:52 2008  using multiplier of 1
Wed Nov 19 13:44:52 2008  using 64kb Pentium 2 sieve core
Wed Nov 19 13:44:52 2008  sieve interval: 18 blocks of size 65536
Wed Nov 19 13:44:52 2008  processing polynomials in batches of 6
Wed Nov 19 13:44:52 2008  using a sieve bound of 1815629 (68235 primes)
Wed Nov 19 13:44:52 2008  using large prime bound of 197903561 (27 bits)
Wed Nov 19 13:44:52 2008  using double large prime bound of 858255299613335 (42-50 bits)
Wed Nov 19 13:44:52 2008  using trial factoring cutoff of 50 bits
Wed Nov 19 13:44:53 2008  polynomial 'A' values have 12 factors
Thu Nov 20 04:07:44 2008  68500 relations (17925 full + 50575 combined from 860511 partial), need 68331
Thu Nov 20 04:08:43 2008  begin with 878436 relations
Thu Nov 20 04:12:02 2008  reduce to 171780 relations in 10 passes
Thu Nov 20 04:12:03 2008  attempting to read 171780 relations
Thu Nov 20 04:12:22 2008  recovered 171780 relations
Thu Nov 20 04:12:22 2008  recovered 152027 polynomials
Thu Nov 20 04:12:23 2008  attempting to build 68500 cycles
Thu Nov 20 04:12:23 2008  found 68500 cycles in 5 passes
Thu Nov 20 04:12:29 2008  distribution of cycle lengths:
Thu Nov 20 04:12:29 2008     length 1 : 17925
Thu Nov 20 04:12:29 2008     length 2 : 12533
Thu Nov 20 04:12:29 2008     length 3 : 11759
Thu Nov 20 04:12:29 2008     length 4 : 9188
Thu Nov 20 04:12:29 2008     length 5 : 6726
Thu Nov 20 04:12:29 2008     length 6 : 4359
Thu Nov 20 04:12:29 2008     length 7 : 2639
Thu Nov 20 04:12:29 2008     length 9+: 3371
Thu Nov 20 04:12:29 2008  largest cycle: 20 relations
Thu Nov 20 04:12:32 2008  matrix is 68235 x 68500 (16.8 MB) with weight 4127308 (60.25/col)
Thu Nov 20 04:12:32 2008  sparse part has weight 4127308 (60.25/col)
Thu Nov 20 04:12:38 2008  filtering completed in 3 passes
Thu Nov 20 04:12:38 2008  matrix is 64376 x 64440 (15.9 MB) with weight 3905357 (60.60/col)
Thu Nov 20 04:12:38 2008  sparse part has weight 3905357 (60.60/col)
Thu Nov 20 04:12:41 2008  saving the first 48 matrix rows for later
Thu Nov 20 04:12:41 2008  matrix is 64328 x 64440 (9.6 MB) with weight 3020114 (46.87/col)
Thu Nov 20 04:12:41 2008  sparse part has weight 2138073 (33.18/col)
Thu Nov 20 04:12:41 2008  matrix includes 64 packed rows
Thu Nov 20 04:12:41 2008  using block size 5461 for processor cache size 128 kB
Thu Nov 20 04:12:43 2008  commencing Lanczos iteration
Thu Nov 20 04:12:43 2008  memory use: 9.8 MB
Thu Nov 20 04:16:45 2008  lanczos halted after 1019 iterations (dim = 64327)
Thu Nov 20 04:16:46 2008  recovered 16 nontrivial dependencies
Thu Nov 20 04:16:48 2008  prp44 factor: 16577521209685874321282377576121847403429763
Thu Nov 20 04:16:48 2008  prp49 factor: 2148076271608348625324510255199205373704302291139
Thu Nov 20 04:16:48 2008  elapsed time 14:32:05

On binary, Windows 2000)

41156624604183385426124387483809375623717575938202142871748189374889762552463441751930416533461<95>

54204446176358550691331299450593801518802911<44>
759285031162886117655652650922885658998240238735051<51>

Wed Nov 19 20:58:35 2008  Msieve v. 1.38
Wed Nov 19 20:58:35 2008  random seeds: eee04af0 6d939a12
Wed Nov 19 20:58:35 2008  factoring 41156624604183385426124387483809375623717575938202142871748189374889762552463441751930416533461 (95 digits)
Wed Nov 19 20:58:36 2008  searching for 15-digit factors
Wed Nov 19 20:58:37 2008  commencing quadratic sieve (95-digit input)
Wed Nov 19 20:58:37 2008  using multiplier of 1
Wed Nov 19 20:58:37 2008  using 32kb Intel Core sieve core
Wed Nov 19 20:58:37 2008  sieve interval: 36 blocks of size 32768
Wed Nov 19 20:58:37 2008  processing polynomials in batches of 6
Wed Nov 19 20:58:37 2008  using a sieve bound of 2154077 (80000 primes)
Wed Nov 19 20:58:37 2008  using large prime bound of 323111550 (28 bits)
Wed Nov 19 20:58:37 2008  using double large prime bound of 2074122508433250 (43-51 bits)
Wed Nov 19 20:58:37 2008  using trial factoring cutoff of 51 bits
Wed Nov 19 20:58:37 2008  polynomial 'A' values have 12 factors
Wed Nov 19 23:22:16 2008  80202 relations (21178 full + 59024 combined from 1172046 partial), need 80096
Wed Nov 19 23:22:17 2008  begin with 1193224 relations
Wed Nov 19 23:22:18 2008  reduce to 202098 relations in 12 passes
Wed Nov 19 23:22:18 2008  attempting to read 202098 relations
Wed Nov 19 23:22:21 2008  recovered 202098 relations
Wed Nov 19 23:22:21 2008  recovered 177771 polynomials
Wed Nov 19 23:22:21 2008  attempting to build 80202 cycles
Wed Nov 19 23:22:22 2008  found 80202 cycles in 5 passes
Wed Nov 19 23:22:22 2008  distribution of cycle lengths:
Wed Nov 19 23:22:22 2008     length 1 : 21178
Wed Nov 19 23:22:22 2008     length 2 : 14727
Wed Nov 19 23:22:22 2008     length 3 : 13766
Wed Nov 19 23:22:22 2008     length 4 : 10752
Wed Nov 19 23:22:22 2008     length 5 : 7658
Wed Nov 19 23:22:22 2008     length 6 : 5080
Wed Nov 19 23:22:22 2008     length 7 : 3122
Wed Nov 19 23:22:22 2008     length 9+: 3919
Wed Nov 19 23:22:22 2008  largest cycle: 21 relations
Wed Nov 19 23:22:22 2008  matrix is 80000 x 80202 (20.8 MB) with weight 5124249 (63.89/col)
Wed Nov 19 23:22:22 2008  sparse part has weight 5124249 (63.89/col)
Wed Nov 19 23:22:23 2008  filtering completed in 3 passes
Wed Nov 19 23:22:23 2008  matrix is 75017 x 75080 (19.6 MB) with weight 4833095 (64.37/col)
Wed Nov 19 23:22:23 2008  sparse part has weight 4833095 (64.37/col)
Wed Nov 19 23:22:23 2008  saving the first 48 matrix rows for later
Wed Nov 19 23:22:23 2008  matrix is 74969 x 75080 (12.9 MB) with weight 3879732 (51.67/col)
Wed Nov 19 23:22:23 2008  sparse part has weight 2943325 (39.20/col)
Wed Nov 19 23:22:23 2008  matrix includes 64 packed rows
Wed Nov 19 23:22:23 2008  using block size 30032 for processor cache size 1024 kB
Wed Nov 19 23:22:24 2008  commencing Lanczos iteration
Wed Nov 19 23:22:24 2008  memory use: 12.1 MB
Wed Nov 19 23:23:04 2008  lanczos halted after 1187 iterations (dim = 74969)
Wed Nov 19 23:23:04 2008  recovered 17 nontrivial dependencies
Wed Nov 19 23:23:05 2008  prp44 factor: 54204446176358550691331299450593801518802911
Wed Nov 19 23:23:05 2008  prp51 factor: 759285031162886117655652650922885658998240238735051
Wed Nov 19 23:23:05 2008  elapsed time 02:24:30

13570384776395537087024643508148141126686711527749785820838572030632082729852778921557351096188596375255349<107>

6319917590226352894125890044416029503902005597444263<52>
2147240780066801934686523205080673857557725977524797123<55>

Number: 34447_123
N=13570384776395537087024643508148141126686711527749785820838572030632082729852778921557351096188596375255349
  ( 107 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=6319917590226352894125890044416029503902005597444263 (pp52)
 r2=2147240780066801934686523205080673857557725977524797123 (pp55)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 4.46 hours.
Scaled time: 2.00 units (timescale=0.449).
Factorization parameters were as follows:
name: 34447_123
n: 13570384776395537087024643508148141126686711527749785820838572030632082729852778921557351096188596375255349
m: 5000000000000000000000000
deg: 5
c5: 248
c0: 575
skew: 1.18
type: snfs
lss: 1
rlim: 880000
alim: 880000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 880000/880000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [440000, 840001)
Primes: RFBsize:69823, AFBsize:69924, largePrimes:2526981 encountered
Relations: rels:2448972, finalFF:213919
Max relations in full relation-set: 28
Initial matrix: 139814 x 213919 with sparse part having weight 16840551.
Pruned matrix : 121656 x 122419 with weight 6886973.
Total sieving time: 4.10 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.21 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,125,5,0,0,0,0,0,0,0,0,880000,880000,26,26,46,46,2.3,2.3,50000
total time: 4.46 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

930930930930930930930930930930930930930930930930930930930930930930930930930930930930930930930930930930930930930930930930930931<126>

97270187898068637736016992651793<32>
9570567828104454237196160316745951642829132145921976310013121355514932688368360314674485545667<94>

SNFS difficulty: 129 digits.
Divisors found:
 r1=97270187898068637736016992651793 (pp32)
 r2=9570567828104454237196160316745951642829132145921976310013121355514932688368360314674485545667 (pp94)
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.951).
Factorization parameters were as follows:
n: 930930930930930930930930930930930930930930930930930930930930930930930930930930930930930930930930930930930930930930930930930931
m: 20000000000000000000000000
deg: 5
c5: 775
c0: 184
skew: 0.75
type: snfs
lss: 1
rlim: 1000000
alim: 1000000
lpbr: 25
lpba: 25
mfbr: 47
mfba: 47
rlambda: 2.5
alambda: 2.5
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 47/47
Sieved rational special-q in [500000, 900001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 154652 x 154894
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,129,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,47,47,2.5,2.5,50000
total time: 2.40 hours.

Msieve-1.38

Opteron-2.6GHz; Linux x86_64

20450302466570352338920883716941426375612684465026684346282992604906753217624202603125597841503559012316359582286079940892029<125>

85379477275895844315105998660497969913412719107941553679<56>
239522460420870238976438445828349706474920058303140588513872318793651<69>

Number: 34447_128
N=20450302466570352338920883716941426375612684465026684346282992604906753217624202603125597841503559012316359582286079940892029
  ( 125 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=85379477275895844315105998660497969913412719107941553679 (pp56)
 r2=239522460420870238976438445828349706474920058303140588513872318793651 (pp69)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 6.36 hours.
Scaled time: 3.01 units (timescale=0.473).
Factorization parameters were as follows:
name: 34447_128
n: 20450302466570352338920883716941426375612684465026684346282992604906753217624202603125597841503559012316359582286079940892029
m: 50000000000000000000000000
deg: 5
c5: 248
c0: 575
skew: 1.18
type: snfs
lss: 1
rlim: 1060000
alim: 1060000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1060000/1060000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [530000, 1080001)
Primes: RFBsize:82832, AFBsize:82914, largePrimes:2809394 encountered
Relations: rels:2710118, finalFF:206536
Max relations in full relation-set: 28
Initial matrix: 165813 x 206536 with sparse part having weight 16995812.
Pruned matrix : 155210 x 156103 with weight 10273925.
Total sieving time: 5.81 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.37 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,130,5,0,0,0,0,0,0,0,0,1060000,1060000,26,26,47,47,2.3,2.3,50000
total time: 6.36 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

1280441368227199028861108069600156146599223949765701089268336067031998884839311050344612389229259445048883382652609<115>

1808155721885738375046960285070261414171<40>
708147729052792909331890541107232260936223443052897711922138946192172196179<75>

Number: 34447_129
N=1280441368227199028861108069600156146599223949765701089268336067031998884839311050344612389229259445048883382652609
  ( 115 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=1808155721885738375046960285070261414171
 r2=708147729052792909331890541107232260936223443052897711922138946192172196179
Version: 
Total time: 5.59 hours.
Scaled time: 11.52 units (timescale=2.061).
Factorization parameters were as follows:
n: 1280441368227199028861108069600156146599223949765701089268336067031998884839311050344612389229259445048883382652609
m: 100000000000000000000000000
deg: 5
c5: 31
c0: 230
skew: 1.49
type: snfs
lss: 1
rlim: 1090000
alim: 1090000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1090000/1090000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [545000, 1095001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 179344 x 179592
Total sieving time: 5.59 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,131,5,0,0,0,0,0,0,0,0,1090000,1090000,26,26,47,47,2.3,2.3,50000
total time: 5.59 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

47999181202344295809394914398337119847140801727914063860415220673623570722116283376484793101867374509638067456685868258031<122>

58814456815850728043978098245622984007914608133<47>
816111952757307914009314203227325907496851007454861051529854391178893476707<75>

Number: 34447_131
N=47999181202344295809394914398337119847140801727914063860415220673623570722116283376484793101867374509638067456685868258031
  ( 122 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=58814456815850728043978098245622984007914608133 (pp47)
 r2=816111952757307914009314203227325907496851007454861051529854391178893476707 (pp75)
Version: GGNFS-0.77.1-20060513-k8
Total time: 4.01 hours.
Scaled time: 8.02 units (timescale=2.003).
Factorization parameters were as follows:
name: 34447_131
n: 47999181202344295809394914398337119847140801727914063860415220673623570722116283376484793101867374509638067456685868258031
m: 100000000000000000000000000
deg: 5
c5: 310
c0: 23
skew: 0.59
type: snfs
lss: 1
rlim: 1130000
alim: 1130000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1130000/1130000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [565000, 915001)
Primes: RFBsize:87884, AFBsize:87884, largePrimes:2901244 encountered
Relations: rels:2868121, finalFF:277844
Max relations in full relation-set: 28
Initial matrix: 175835 x 277844 with sparse part having weight 21171464.
Pruned matrix : 142532 x 143475 with weight 7923435.
Total sieving time: 3.74 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,132,5,0,0,0,0,0,0,0,0,1130000,1130000,26,26,47,47,2.3,2.3,50000
total time: 4.01 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

22763868089453759778600523391606177381637960434520514072517380420776039653079075638988500274654715351571<104>

128001041209174255487204192912085552014267<42>
177841272808507424123091401292295891898695805385853038162258313<63>

Thu Nov 20 05:27:39 2008  Msieve v. 1.38
Thu Nov 20 05:27:39 2008  random seeds: 06aef7d0 3491eb82
Thu Nov 20 05:27:39 2008  factoring 22763868089453759778600523391606177381637960434520514072517380420776039653079075638988500274654715351571 (104 digits)
Thu Nov 20 05:27:40 2008  searching for 15-digit factors
Thu Nov 20 05:27:42 2008  commencing quadratic sieve (104-digit input)
Thu Nov 20 05:27:42 2008  using multiplier of 11
Thu Nov 20 05:27:42 2008  using 32kb Intel Core sieve core
Thu Nov 20 05:27:42 2008  sieve interval: 36 blocks of size 32768
Thu Nov 20 05:27:42 2008  processing polynomials in batches of 6
Thu Nov 20 05:27:42 2008  using a sieve bound of 3650509 (129768 primes)
Thu Nov 20 05:27:42 2008  using large prime bound of 547576350 (29 bits)
Thu Nov 20 05:27:42 2008  using double large prime bound of 5360439540079200 (44-53 bits)
Thu Nov 20 05:27:42 2008  using trial factoring cutoff of 53 bits
Thu Nov 20 05:27:42 2008  polynomial 'A' values have 14 factors
Fri Nov 21 11:27:11 2008  130009 relations (30765 full + 99244 combined from 1944400 partial), need 129864
Fri Nov 21 11:27:14 2008  begin with 1975165 relations
Fri Nov 21 11:27:16 2008  reduce to 343309 relations in 13 passes
Fri Nov 21 11:27:16 2008  attempting to read 343309 relations
Fri Nov 21 11:27:24 2008  recovered 343309 relations
Fri Nov 21 11:27:24 2008  recovered 336630 polynomials
Fri Nov 21 11:27:25 2008  attempting to build 130009 cycles
Fri Nov 21 11:27:25 2008  found 130009 cycles in 6 passes
Fri Nov 21 11:27:25 2008  distribution of cycle lengths:
Fri Nov 21 11:27:25 2008     length 1 : 30765
Fri Nov 21 11:27:25 2008     length 2 : 22047
Fri Nov 21 11:27:25 2008     length 3 : 21707
Fri Nov 21 11:27:25 2008     length 4 : 17738
Fri Nov 21 11:27:25 2008     length 5 : 13868
Fri Nov 21 11:27:25 2008     length 6 : 9322
Fri Nov 21 11:27:25 2008     length 7 : 6050
Fri Nov 21 11:27:25 2008     length 9+: 8512
Fri Nov 21 11:27:25 2008  largest cycle: 21 relations
Fri Nov 21 11:27:26 2008  matrix is 129768 x 130009 (36.9 MB) with weight 9152557 (70.40/col)
Fri Nov 21 11:27:26 2008  sparse part has weight 9152557 (70.40/col)
Fri Nov 21 11:27:28 2008  filtering completed in 3 passes
Fri Nov 21 11:27:28 2008  matrix is 124950 x 125013 (35.6 MB) with weight 8843121 (70.74/col)
Fri Nov 21 11:27:28 2008  sparse part has weight 8843121 (70.74/col)
Fri Nov 21 11:27:29 2008  saving the first 48 matrix rows for later
Fri Nov 21 11:27:29 2008  matrix is 124902 x 125013 (22.0 MB) with weight 7005702 (56.04/col)
Fri Nov 21 11:27:29 2008  sparse part has weight 5022897 (40.18/col)
Fri Nov 21 11:27:29 2008  matrix includes 64 packed rows
Fri Nov 21 11:27:29 2008  using block size 43690 for processor cache size 1024 kB
Fri Nov 21 11:27:30 2008  commencing Lanczos iteration
Fri Nov 21 11:27:30 2008  memory use: 21.4 MB
Fri Nov 21 11:29:34 2008  lanczos halted after 1976 iterations (dim = 124902)
Fri Nov 21 11:29:34 2008  recovered 18 nontrivial dependencies
Fri Nov 21 11:29:35 2008  prp42 factor: 128001041209174255487204192912085552014267
Fri Nov 21 11:29:35 2008  prp63 factor: 177841272808507424123091401292295891898695805385853038162258313
Fri Nov 21 11:29:35 2008  elapsed time 30:01:56

On binary, Windows Vista)

103964561653281937615940698397888792368105511524925163767455307432152372393741558475751641975328714898867866571732099871<120>

5320146285913004033923822786340081282766713399367469351<55>
19541673492807033009504105677720911572680933743819569639669768521<65>

Number: 34447_135
N=103964561653281937615940698397888792368105511524925163767455307432152372393741558475751641975328714898867866571732099871
  ( 120 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=5320146285913004033923822786340081282766713399367469351 (pp55)
 r2=19541673492807033009504105677720911572680933743819569639669768521 (pp65)
Version: GGNFS-0.77.1-20060513-k8
Total time: 7.27 hours.
Scaled time: 14.60 units (timescale=2.010).
Factorization parameters were as follows:
name: 34447_135
n: 103964561653281937615940698397888792368105511524925163767455307432152372393741558475751641975328714898867866571732099871
m: 1000000000000000000000000000
deg: 5
c5: 31
c0: 23
skew: 0.94
type: snfs
lss: 1
rlim: 1320000
alim: 1320000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1320000/1320000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [660000, 1335001)
Primes: RFBsize:101433, AFBsize:101212, largePrimes:3455437 encountered
Relations: rels:3558281, finalFF:377834
Max relations in full relation-set: 28
Initial matrix: 202710 x 377834 with sparse part having weight 34651730.
Pruned matrix : 162371 x 163448 with weight 12239877.
Total sieving time: 6.87 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.23 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,1320000,1320000,26,26,48,48,2.3,2.3,75000
total time: 7.27 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

9127898282373957556699495805501989405108267715924648355714034125424503203800344076649701860823029148177829292694783097467<121>

230857778558202023809686931408875980413732116091<48>
39539054474929483767587850106894599968633750590814267323704018007244123137<74>

Number: 34447_136
N=9127898282373957556699495805501989405108267715924648355714034125424503203800344076649701860823029148177829292694783097467
  ( 121 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=230857778558202023809686931408875980413732116091 (pp48)
 r2=39539054474929483767587850106894599968633750590814267323704018007244123137 (pp74)
Version: GGNFS-0.77.1-20060513-k8
Total time: 6.15 hours.
Scaled time: 12.09 units (timescale=1.967).
Factorization parameters were as follows:
name: 34447_136
n: 9127898282373957556699495805501989405108267715924648355714034125424503203800344076649701860823029148177829292694783097467
m: 1000000000000000000000000000
deg: 5
c5: 310
c0: 23
skew: 0.59
type: snfs
lss: 1
rlim: 1370000
alim: 1370000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1370000/1370000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [685000, 1210001)
Primes: RFBsize:104967, AFBsize:104854, largePrimes:3408938 encountered
Relations: rels:3538159, finalFF:429663
Max relations in full relation-set: 28
Initial matrix: 209888 x 429663 with sparse part having weight 35074190.
Pruned matrix : 151114 x 152227 with weight 10313401.
Total sieving time: 5.80 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.18 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,137,5,0,0,0,0,0,0,0,0,1370000,1370000,26,26,48,48,2.3,2.3,75000
total time: 6.15 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

8291076274107127656683554837437021606129508266209835348509800550465159876583806964748387984549662505223087385616499707250807<124>

425331164615134287079987318339223<33>
19493225429670552729857527935947134128408399799387896828008900400424185200391198127920568609<92>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2764368724
Step 1 took 15565ms
Step 2 took 12189ms
********** Factor found in step 2: 425331164615134287079987318339223
Found probable prime factor of 33 digits: 425331164615134287079987318339223
Probable prime cofactor 19493225429670552729857527935947134128408399799387896828008900400424185200391198127920568609 has 92 digits

GMP-ECM 6.2.1

269889180225018855012170244562663159435434265133670879679303009495874480796357848143053362681804370036716819<108>

2473477119213667851398376330277761733597789180593671<52>
109113271405889587593078488061443066335576018058528503189<57>

Number: 34447_139
N=269889180225018855012170244562663159435434265133670879679303009495874480796357848143053362681804370036716819
  ( 108 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=2473477119213667851398376330277761733597789180593671
 r2=109113271405889587593078488061443066335576018058528503189
Version: 
Total time: 10.22 hours.
Scaled time: 20.28 units (timescale=1.985).
Factorization parameters were as follows:
name: 34447_139
n: 269889180225018855012170244562663159435434265133670879679303009495874480796357848143053362681804370036716819
m: 10000000000000000000000000000
deg: 5
c5: 31
c0: 230
skew: 1.49
type: snfs
lss: 1
rlim: 1600000
alim: 1600000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1600000/1600000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [800000, 1900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 258735 x 258983
Total sieving time: 10.22 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,1600000,1600000,26,26,48,48,2.3,2.3,100000
total time: 10.22 hours.
 --------- CPU info (if available) ----------

3277768634495514893703594283984537548596421425907529389671975887061992813026979883345525809664106486558396159340359390180330202403<130>

2350566219110645571032862479372843<34>

1394459176621573051639386763789651414147839796257994686093167116726624290897405719337770464498921<97>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2830981924
Step 1 took 15701ms
Step 2 took 12881ms
********** Factor found in step 2: 2350566219110645571032862479372843
Found probable prime factor of 34 digits: 2350566219110645571032862479372843
Composite cofactor 1394459176621573051639386763789651414147839796257994686093167116726624290897405719337770464498921 has 97 digits

GMP-ECM 6.2.1

1394459176621573051639386763789651414147839796257994686093167116726624290897405719337770464498921<97>

1549081274511290351303642137676399869628903<43>
900184644644614901232675640022748801919586985760172207<54>

Thu Nov 20 16:38:07 2008  
Thu Nov 20 16:38:07 2008  
Thu Nov 20 16:38:07 2008  Msieve v. 1.38
Thu Nov 20 16:38:08 2008  random seeds: 9bc7b380 5b2b56c3
Thu Nov 20 16:38:08 2008  factoring 1394459176621573051639386763789651414147839796257994686093167116726624290897405719337770464498921 (97 digits)
Thu Nov 20 16:38:09 2008  searching for 15-digit factors
Thu Nov 20 16:38:10 2008  commencing quadratic sieve (97-digit input)
Thu Nov 20 16:38:11 2008  using multiplier of 13
Thu Nov 20 16:38:11 2008  using 32kb Intel Core sieve core
Thu Nov 20 16:38:11 2008  sieve interval: 36 blocks of size 32768
Thu Nov 20 16:38:11 2008  processing polynomials in batches of 6
Thu Nov 20 16:38:11 2008  using a sieve bound of 2334863 (85703 primes)
Thu Nov 20 16:38:12 2008  using large prime bound of 350229450 (28 bits)
Thu Nov 20 16:38:12 2008  using double large prime bound of 2397920528297850 (43-52 bits)
Thu Nov 20 16:38:12 2008  using trial factoring cutoff of 52 bits
Thu Nov 20 16:38:12 2008  polynomial 'A' values have 13 factors
Thu Nov 20 20:11:57 2008  85990 relations (22065 full + 63925 combined from 1278641 partial), need 85799
Thu Nov 20 20:11:58 2008  begin with 1300706 relations
Thu Nov 20 20:11:59 2008  reduce to 220755 relations in 11 passes
Thu Nov 20 20:11:59 2008  attempting to read 220755 relations
Thu Nov 20 20:12:02 2008  recovered 220755 relations
Thu Nov 20 20:12:02 2008  recovered 205400 polynomials
Thu Nov 20 20:12:03 2008  attempting to build 85990 cycles
Thu Nov 20 20:12:03 2008  found 85990 cycles in 6 passes
Thu Nov 20 20:12:03 2008  distribution of cycle lengths:
Thu Nov 20 20:12:03 2008     length 1 : 22065
Thu Nov 20 20:12:04 2008     length 2 : 15290
Thu Nov 20 20:12:04 2008     length 3 : 14451
Thu Nov 20 20:12:04 2008     length 4 : 11510
Thu Nov 20 20:12:04 2008     length 5 : 8566
Thu Nov 20 20:12:04 2008     length 6 : 5640
Thu Nov 20 20:12:05 2008     length 7 : 3598
Thu Nov 20 20:12:05 2008     length 9+: 4870
Thu Nov 20 20:12:05 2008  largest cycle: 24 relations
Thu Nov 20 20:12:05 2008  matrix is 85703 x 85990 (23.2 MB) with weight 5738545 (66.74/col)
Thu Nov 20 20:12:05 2008  sparse part has weight 5738545 (66.74/col)
Thu Nov 20 20:12:06 2008  filtering completed in 3 passes
Thu Nov 20 20:12:06 2008  matrix is 81042 x 81106 (22.0 MB) with weight 5441103 (67.09/col)
Thu Nov 20 20:12:07 2008  sparse part has weight 5441103 (67.09/col)
Thu Nov 20 20:12:07 2008  saving the first 48 matrix rows for later
Thu Nov 20 20:12:07 2008  matrix is 80994 x 81106 (14.4 MB) with weight 4384075 (54.05/col)
Thu Nov 20 20:12:08 2008  sparse part has weight 3281672 (40.46/col)
Thu Nov 20 20:12:08 2008  matrix includes 64 packed rows
Thu Nov 20 20:12:08 2008  using block size 32442 for processor cache size 4096 kB
Thu Nov 20 20:12:09 2008  commencing Lanczos iteration
Thu Nov 20 20:12:09 2008  memory use: 13.4 MB
Thu Nov 20 20:12:46 2008  lanczos halted after 1283 iterations (dim = 80993)
Thu Nov 20 20:12:46 2008  recovered 17 nontrivial dependencies
Thu Nov 20 20:12:47 2008  prp43 factor: 1549081274511290351303642137676399869628903
Thu Nov 20 20:12:47 2008  prp54 factor: 900184644644614901232675640022748801919586985760172207
Thu Nov 20 20:12:47 2008  elapsed time 03:34:39

144074771166813737220443242018141597913702894796079291182385820547606367181066983636203450196313<96>

63064060992753333563442403816667<32>
2284578076622266880180728159657091165236588456548603773699038939<64>

Wed Nov 19 23:30:19 2008  Msieve v. 1.38
Wed Nov 19 23:30:19 2008  random seeds: 53c0fa20 5250e793
Wed Nov 19 23:30:19 2008  factoring 144074771166813737220443242018141597913702894796079291182385820547606367181066983636203450196313 (96 digits)
Wed Nov 19 23:30:20 2008  searching for 15-digit factors
Wed Nov 19 23:30:21 2008  commencing quadratic sieve (96-digit input)
Wed Nov 19 23:30:21 2008  using multiplier of 33
Wed Nov 19 23:30:21 2008  using 32kb Intel Core sieve core
Wed Nov 19 23:30:21 2008  sieve interval: 36 blocks of size 32768
Wed Nov 19 23:30:21 2008  processing polynomials in batches of 6
Wed Nov 19 23:30:21 2008  using a sieve bound of 2231371 (82274 primes)
Wed Nov 19 23:30:21 2008  using large prime bound of 334705650 (28 bits)
Wed Nov 19 23:30:21 2008  using double large prime bound of 2210005845812100 (43-51 bits)
Wed Nov 19 23:30:21 2008  using trial factoring cutoff of 51 bits
Wed Nov 19 23:30:21 2008  polynomial 'A' values have 12 factors
Thu Nov 20 04:17:48 2008  82540 relations (19965 full + 62575 combined from 1229050 partial), need 82370
Thu Nov 20 04:17:50 2008  begin with 1249015 relations
Thu Nov 20 04:17:51 2008  reduce to 216101 relations in 11 passes
Thu Nov 20 04:17:51 2008  attempting to read 216101 relations
Thu Nov 20 04:17:54 2008  recovered 216101 relations
Thu Nov 20 04:17:54 2008  recovered 202340 polynomials
Thu Nov 20 04:17:55 2008  attempting to build 82540 cycles
Thu Nov 20 04:17:55 2008  found 82540 cycles in 7 passes
Thu Nov 20 04:17:55 2008  distribution of cycle lengths:
Thu Nov 20 04:17:55 2008     length 1 : 19965
Thu Nov 20 04:17:55 2008     length 2 : 14267
Thu Nov 20 04:17:55 2008     length 3 : 13826
Thu Nov 20 04:17:55 2008     length 4 : 11224
Thu Nov 20 04:17:55 2008     length 5 : 8457
Thu Nov 20 04:17:55 2008     length 6 : 5889
Thu Nov 20 04:17:55 2008     length 7 : 3845
Thu Nov 20 04:17:55 2008     length 9+: 5067
Thu Nov 20 04:17:55 2008  largest cycle: 20 relations
Thu Nov 20 04:17:55 2008  matrix is 82274 x 82540 (23.3 MB) with weight 5769700 (69.90/col)
Thu Nov 20 04:17:55 2008  sparse part has weight 5769700 (69.90/col)
Thu Nov 20 04:17:56 2008  filtering completed in 3 passes
Thu Nov 20 04:17:56 2008  matrix is 78492 x 78556 (22.3 MB) with weight 5524149 (70.32/col)
Thu Nov 20 04:17:56 2008  sparse part has weight 5524149 (70.32/col)
Thu Nov 20 04:17:57 2008  saving the first 48 matrix rows for later
Thu Nov 20 04:17:57 2008  matrix is 78444 x 78556 (16.6 MB) with weight 4648272 (59.17/col)
Thu Nov 20 04:17:57 2008  sparse part has weight 3874818 (49.33/col)
Thu Nov 20 04:17:57 2008  matrix includes 64 packed rows
Thu Nov 20 04:17:57 2008  using block size 31422 for processor cache size 1024 kB
Thu Nov 20 04:17:58 2008  commencing Lanczos iteration
Thu Nov 20 04:17:58 2008  memory use: 14.4 MB
Thu Nov 20 04:18:49 2008  lanczos halted after 1242 iterations (dim = 78439)
Thu Nov 20 04:18:49 2008  recovered 15 nontrivial dependencies
Thu Nov 20 04:18:51 2008  prp32 factor: 63064060992753333563442403816667
Thu Nov 20 04:18:51 2008  prp64 factor: 2284578076622266880180728159657091165236588456548603773699038939
Thu Nov 20 04:18:51 2008  elapsed time 04:48:32

44911467711194671956311458873486555830635215692557289809449257051105516413906070946575439201768427467712623<107>

159211005704693000085823595910997363902059699<45>
282087708148123545945056068424813008842460110880541912155624277<63>

Number: 34447_144
N=44911467711194671956311458873486555830635215692557289809449257051105516413906070946575439201768427467712623
  ( 107 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=159211005704693000085823595910997363902059699 (pp45)
 r2=282087708148123545945056068424813008842460110880541912155624277 (pp63)
Version: GGNFS-0.77.1-20060513-k8
Total time: 21.60 hours.
Scaled time: 42.60 units (timescale=1.972).
Factorization parameters were as follows:
name: 34447_144
n: 44911467711194671956311458873486555830635215692557289809449257051105516413906070946575439201768427467712623
m: 100000000000000000000000000000
deg: 5
c5: 31
c0: 230
skew: 1.49
type: snfs
lss: 1
rlim: 1930000
alim: 1930000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1930000/1930000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [965000, 2865001)
Primes: RFBsize:144125, AFBsize:144048, largePrimes:4340864 encountered
Relations: rels:4606753, finalFF:371261
Max relations in full relation-set: 28
Initial matrix: 288238 x 371261 with sparse part having weight 43229078.
Pruned matrix : 261658 x 263163 with weight 28833069.
Total sieving time: 20.36 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.96 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1930000,1930000,26,26,49,49,2.3,2.3,100000
total time: 21.60 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

1144919893851448143248506550793977755336609200293360977756566474763688626241310607382552058279554506941891226915030963010478369654458116228360123<145>

661308922236046130574180250788845131268232439494137<51>
1731293583610207200485057312737901737674537238871160790344877979353997153175128440849742800979<94>

Number: 34447_151
N=1144919893851448143248506550793977755336609200293360977756566474763688626241310607382552058279554506941891226915030963010478369654458116228360123
  ( 145 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=661308922236046130574180250788845131268232439494137 (pp51)
 r2=1731293583610207200485057312737901737674537238871160790344877979353997153175128440849742800979 (pp94)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 11.38 hours.
Scaled time: 27.00 units (timescale=2.373).
Factorization parameters were as follows:
n: 1144919893851448143248506550793977755336609200293360977756566474763688626241310607382552058279554506941891226915030963010478369654458116228360123
m: 1000000000000000000000000000000
deg: 5
c5: 310
c0: 23
skew: 0.59
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1200000, 1900001)
Primes: RFBsize:176302, AFBsize:176064, largePrimes:7721639 encountered
Relations: rels:7779627, finalFF:545693
Max relations in full relation-set: 28
Initial matrix: 352433 x 545693 with sparse part having weight 57523083.
Pruned matrix : 282021 x 283847 with weight 27602538.
Total sieving time: 10.80 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.45 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,50,50,2.4,2.4,100000
total time: 11.38 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047068k/8912896k available (2460k kernel code, 339224k reserved, 1251k data, 196k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673803)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672384)
Calibrating delay using timer specific routine.. 5497.76 BogoMIPS (lpj=2748880)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)

Core 2 Quad Q6700

9756022582004349047507364507499921946225366500848674640456733416082136242417803225035612096644979843850061570187862543328775065391426079364379<142>

73614591348542831536038340486350437160072591338127130900413721<62>
132528380627864005990141182168512501174418120784716384110004695241628977470486099<81>

Number: n
N=9756022582004349047507364507499921946225366500848674640456733416082136242417803225035612096644979843850061570187862543328775065391426079364379
  ( 142 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=73614591348542831536038340486350437160072591338127130900413721 (pp62)
 r2=132528380627864005990141182168512501174418120784716384110004695241628977470486099 (pp81)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 29.59 hours.
Scaled time: 38.64 units (timescale=1.306).
Factorization parameters were as follows:
name: KA_3_4_151_7
n: 9756022582004349047507364507499921946225366500848674640456733416082136242417803225035612096644979843850061570187862543328775065391426079364379
type: snfs
skew: 0.38
deg: 5
c5: 3100
c0: 23
m: 1000000000000000000000000000000
rlim: 2400000
alim: 2400000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [100000, 1150001)
Primes: RFBsize:176302, AFBsize:176014, largePrimes:12206874 encountered
Relations: rels:11170380, finalFF:458117
Max relations in full relation-set: 28
Initial matrix: 352383 x 458117 with sparse part having weight 46424684.
Pruned matrix : 296745 x 298570 with weight 28529175.
Total sieving time: 26.27 hours.
Total relation processing time: 0.42 hours.
Matrix solve time: 2.66 hours.
Total square root time: 0.25 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,153,5,0,0,0,0,0,0,0,0,2400000,2400000,28,28,56,56,2.5,2.5,100000
total time: 29.59 hours.
 --------- CPU info (if available) ----------

1661554747257316118030711657236449112247555007148199909420522176066246632447220815227217524487168894168556200871108421492188390703937161661203<142>

8057751421933845833175419115668072017469321<43>
206205758933494869507949855300183014699121320329094444631862433555090877799400218997532783562912443<99>

SNFS difficulty: 155 digits.
Divisors found:
 r1=8057751421933845833175419115668072017469321 (pp43)
 r2=206205758933494869507949855300183014699121320329094444631862433555090877799400218997532783562912443 (pp99)
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.948).
Factorization parameters were as follows:
n: 1661554747257316118030711657236449112247555007148199909420522176066246632447220815227217524487168894168556200871108421492188390703937161661203
m: 5000000000000000000000000000000
deg: 5
c5: 248
c0: 575
skew: 1.18
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved rational special-q in [1400000, 2600001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 625976 x 626218
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,155,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,53,53,2.5,2.5,100000
total time: 20.00 hours.

Msieve-1.38

Linux x86_64

8525580635367416028062072645873791661738063391604036023929853187349510892778917411347044552296521586543286547112762281392323388789125173<136>

67709218824799436689325098690159<32>
125914621130509991249162570949745545096358619356950620399456369625999088541498055440116472305188849960347<105>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=145261113
Step 1 took 19260ms
Step 2 took 13617ms
********** Factor found in step 2: 67709218824799436689325098690159
Found probable prime factor of 32 digits: 67709218824799436689325098690159
Probable prime cofactor 125914621130509991249162570949745545096358619356950620399456369625999088541498055440116472305188849960347 has 105 digits

GMP-ECM 6.2.1

4264499697277355102681785591798877228490538618052600280344742714797145266616486180987917059542447258478524930006405997077205714252949<133>

23516095857499575558307056793<29>
181343864352268877571212976251901069010084878705008449185231497922778887753953648570248794590546447878493<105>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=980145216
Step 1 took 15599ms
********** Factor found in step 1: 23516095857499575558307056793
Found probable prime factor of 29 digits: 23516095857499575558307056793
Probable prime cofactor 181343864352268877571212976251901069010084878705008449185231497922778887753953648570248794590546447878493 has 105 digits

GMP-ECM 6.2.1

787705056470634536095385925233925372871466405350597464406679815075342093782690358707811<87>

30062121943635127503267133496219<32>
26202576715893157235293141992702086950253009011391537369<56>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1420406366
Step 1 took 11306ms
Step 2 took 9180ms
********** Factor found in step 2: 30062121943635127503267133496219
Found probable prime factor of 32 digits: 30062121943635127503267133496219
Probable prime cofactor 26202576715893157235293141992702086950253009011391537369 has 56 digits

GMP-ECM 6.2.1

186074541461309400545858670983596028569044759330587833486094529468505083136304403544059750335984595428928828888852874461509280617815496888053354173681977<153>

137062009031584687162325943108145597979<39>
1357593856795359123077509588134425961575969533810088621185776166177182280010278618966059027685150731758000076456763<115>

Number: n
N=186074541461309400545858670983596028569044759330587833486094529468505083136304403544059750335984595428928828888852874461509280617815496888053354173681977
  ( 153 digits)
SNFS difficulty: 158 digits.
Divisors found:

Sat Nov 22 22:31:01 2008  prp39 factor: 137062009031584687162325943108145597979
Sat Nov 22 22:31:01 2008  prp115 factor: 1357593856795359123077509588134425961575969533810088621185776166177182280010278618966059027685150731758000076456763
Sat Nov 22 22:31:01 2008  elapsed time 01:49:31 (Msieve 1.38)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 25.37 hours.
Scaled time: 51.88 units (timescale=2.045).
Factorization parameters were as follows:
name: KA_3_4_156_7
n: 186074541461309400545858670983596028569044759330587833486094529468505083136304403544059750335984595428928828888852874461509280617815496888053354173681977
type: snfs
skew: 0.38
deg: 5
c5: 3100
c0: 23
m: 10000000000000000000000000000000
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 1400001)
Primes: RFBsize:250150, AFBsize:249137, largePrimes:13233651 encountered
Relations: rels:11691766, finalFF:516629
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 25.07 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,56,56,2.5,2.5,100000
total time: 25.37 hours.
 --------- CPU info (if available) ----------

1961030992553674843933876325186508177731678542337571549748887519994171730266446231404809452598378169564753<106>

26225390858497213055695898321<29>
74776044450002424378739770286018531603258310157404917007158902194661257092993<77>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1882111869
Step 1 took 12978ms
Step 2 took 10583ms
********** Factor found in step 2: 26225390858497213055695898321
Found probable prime factor of 29 digits: 26225390858497213055695898321
Probable prime cofactor 74776044450002424378739770286018531603258310157404917007158902194661257092993 has 77 digits

GMP-ECM 6.2.1

70907809978627579542331612890992534418293146708040921479541278492523484270210998457654446469974744522569415909129<113>

61798914931319480887285014377816703853<38>
1147395711679263505648383683460557746640664861931176587561400962806755863693<76>

Number: n
N=70907809978627579542331612890992534418293146708040921479541278492523484270210998457654446469974744522569415909129
  ( 113 digits)
Divisors found:

Fri Nov 21 22:03:23 2008  prp38 factor: 61798914931319480887285014377816703853
Fri Nov 21 22:03:23 2008  prp76 factor: 1147395711679263505648383683460557746640664861931176587561400962806755863693
Fri Nov 21 22:03:23 2008  elapsed time 00:56:46 (Msieve 1.38)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 24.47 hours.
Scaled time: 50.05 units (timescale=2.045).
Factorization parameters were as follows:
name: KA_3_4_165_7
n: 70907809978627579542331612890992534418293146708040921479541278492523484270210998457654446469974744522569415909129
skew: 32881.19
# norm 7.28e+15
c5: 83160
c4: -668967376
c3: -458058952759210
c2: 3172828514069222313
c1: 170324935437936606139530
c0: 758285338230349101156775464
# alpha -6.22
Y1: 1248999244049
Y0: -3856169760807240084551
# Murphy_E 6.59e-10
# M 31637108997680505828204905949716122300136356195570654326165134163816097965750691160478327792426738914491526610890
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 1600001)
Primes: RFBsize:250150, AFBsize:250251, largePrimes:6877052 encountered
Relations: rels:6547858, finalFF:553182
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 24.23 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,112,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 24.47 hours.
 --------- CPU info (if available) ----------

257910863095563953833429968486591780704085942063711414587033921966560265416374354860119633<90>

2903916704097012988465468787854787906046359<43>
88814828170411516711524534020787854062092569687<47>

Wed Nov 19 16:04:44 2008  Msieve v. 1.38
Wed Nov 19 16:04:44 2008  random seeds: f2d00950 012536f3
Wed Nov 19 16:04:44 2008  factoring 257910863095563953833429968486591780704085942063711414587033921966560265416374354860119633 (90 digits)
Wed Nov 19 16:04:44 2008  searching for 15-digit factors
Wed Nov 19 16:04:46 2008  commencing quadratic sieve (90-digit input)
Wed Nov 19 16:04:46 2008  using multiplier of 1
Wed Nov 19 16:04:46 2008  using 32kb Intel Core sieve core
Wed Nov 19 16:04:46 2008  sieve interval: 36 blocks of size 32768
Wed Nov 19 16:04:46 2008  processing polynomials in batches of 6
Wed Nov 19 16:04:46 2008  using a sieve bound of 1584943 (59970 primes)
Wed Nov 19 16:04:46 2008  using large prime bound of 126795440 (26 bits)
Wed Nov 19 16:04:46 2008  using double large prime bound of 385111478867040 (42-49 bits)
Wed Nov 19 16:04:46 2008  using trial factoring cutoff of 49 bits
Wed Nov 19 16:04:46 2008  polynomial 'A' values have 11 factors
Wed Nov 19 17:18:57 2008  60222 relations (15932 full + 44290 combined from 639005 partial), need 60066
Wed Nov 19 17:18:58 2008  begin with 654937 relations
Wed Nov 19 17:18:58 2008  reduce to 147348 relations in 11 passes
Wed Nov 19 17:18:58 2008  attempting to read 147348 relations
Wed Nov 19 17:19:00 2008  recovered 147348 relations
Wed Nov 19 17:19:00 2008  recovered 125152 polynomials
Wed Nov 19 17:19:00 2008  attempting to build 60222 cycles
Wed Nov 19 17:19:00 2008  found 60222 cycles in 5 passes
Wed Nov 19 17:19:00 2008  distribution of cycle lengths:
Wed Nov 19 17:19:00 2008     length 1 : 15932
Wed Nov 19 17:19:00 2008     length 2 : 11294
Wed Nov 19 17:19:00 2008     length 3 : 10744
Wed Nov 19 17:19:00 2008     length 4 : 8003
Wed Nov 19 17:19:00 2008     length 5 : 5793
Wed Nov 19 17:19:00 2008     length 6 : 3669
Wed Nov 19 17:19:00 2008     length 7 : 2184
Wed Nov 19 17:19:00 2008     length 9+: 2603
Wed Nov 19 17:19:00 2008  largest cycle: 19 relations
Wed Nov 19 17:19:01 2008  matrix is 59970 x 60222 (14.9 MB) with weight 3652250 (60.65/col)
Wed Nov 19 17:19:01 2008  sparse part has weight 3652250 (60.65/col)
Wed Nov 19 17:19:01 2008  filtering completed in 4 passes
Wed Nov 19 17:19:01 2008  matrix is 56279 x 56343 (14.0 MB) with weight 3444010 (61.13/col)
Wed Nov 19 17:19:01 2008  sparse part has weight 3444010 (61.13/col)
Wed Nov 19 17:19:02 2008  saving the first 48 matrix rows for later
Wed Nov 19 17:19:02 2008  matrix is 56231 x 56343 (10.5 MB) with weight 2895002 (51.38/col)
Wed Nov 19 17:19:02 2008  sparse part has weight 2407788 (42.73/col)
Wed Nov 19 17:19:02 2008  matrix includes 64 packed rows
Wed Nov 19 17:19:02 2008  using block size 22537 for processor cache size 1024 kB
Wed Nov 19 17:19:02 2008  commencing Lanczos iteration
Wed Nov 19 17:19:02 2008  memory use: 9.4 MB
Wed Nov 19 17:19:25 2008  lanczos halted after 891 iterations (dim = 56227)
Wed Nov 19 17:19:25 2008  recovered 15 nontrivial dependencies
Wed Nov 19 17:19:26 2008  prp43 factor: 2903916704097012988465468787854787906046359
Wed Nov 19 17:19:26 2008  prp47 factor: 88814828170411516711524534020787854062092569687
Wed Nov 19 17:19:26 2008  elapsed time 01:14:42

On binary, Windows Vista)

1177942939026142270485845048200505220851691100165908162124674755917755546818795317147407818367893046192630450490921217649737706163147<133>

71089222420470519987060723122743432410918632642974202029<56>
16569922963272521761078068102437369922025373749414100129260936324165493837143<77>

Number: 34447_169
N=1177942939026142270485845048200505220851691100165908162124674755917755546818795317147407818367893046192630450490921217649737706163147
  ( 133 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=71089222420470519987060723122743432410918632642974202029
 r2=16569922963272521761078068102437369922025373749414100129260936324165493837143
Version: 
Total time: 48.87 hours.
Scaled time: 114.70 units (timescale=2.347).
Factorization parameters were as follows:
n: 1177942939026142270485845048200505220851691100165908162124674755917755546818795317147407818367893046192630450490921217649737706163147
m: 10000000000000000000000000000000000
deg: 5
c5: 31
c0: 230
skew: 1.49
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [3100000, 6800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 11393121
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1104162 x 1104410
Total sieving time: 44.18 hours.
Total relation processing time: 1.68 hours.
Matrix solve time: 2.88 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,6200000,6200000,27,27,52,52,2.4,2.4,100000
total time: 48.87 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673785)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672340)
Calibrating delay using timer specific routine.. 5237.88 BogoMIPS (lpj=2618943)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

362664343504208366336153695212934878904723612806464270452574090561920145914063070976459250001943725687749819858052981635954436582224244199353949419257<150>

1552639791119087352981288123002496139672359803957855921458315665885581003<73>
233579189183869137992954603034611668015422286381180706109516775369226985993419<78>

Number: 34447_170
N=362664343504208366336153695212934878904723612806464270452574090561920145914063070976459250001943725687749819858052981635954436582224244199353949419257
  ( 150 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=1552639791119087352981288123002496139672359803957855921458315665885581003
 r2=233579189183869137992954603034611668015422286381180706109516775369226985993419
Version: 
Total time: 117.52 hours.
Scaled time: 92.25 units (timescale=0.785).
Factorization parameters were as follows:
n: 362664343504208366336153695212934878904723612806464270452574090561920145914063070976459250001943725687749819858052981635954436582224244199353949419257
m: 10000000000000000000000000000000000
deg: 5
c5: 31
c0: 23
skew: 0.94
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2500000, 5800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 942515 x 942763
Total sieving time: 117.52 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000
total time: 117.52 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

1340539887791244419352928125652351369750609942336149030456691946535108031266148210259451272147921038508903588658810629010647715615373371088654072371133139<154>

92908475405229428506788810564397<32>

14428607099022432673306409823918546390880687001008211285748959062244918989746704433598578584157419146708891361260189029887<122>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=205771521
Step 1 took 19722ms
Step 2 took 14238ms
********** Factor found in step 2: 92908475405229428506788810564397
Found probable prime factor of 32 digits: 92908475405229428506788810564397
Composite cofactor 14428607099022432673306409823918546390880687001008211285748959062244918989746704433598578584157419146708891361260189029887 has 122 digits

GMP-ECM 6.2.1

14428607099022432673306409823918546390880687001008211285748959062244918989746704433598578584157419146708891361260189029887<122>

1271867235151492354244516276979799369<37>
11344428648092218894095486717270656404383494382905349632292223973872748424954682767623<86>

Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=2246719298
Step 1 took 9904ms
Step 2 took 11833ms
********** Factor found in step 2: 1271867235151492354244516276979799369
Found probable prime factor of 37 digits: 1271867235151492354244516276979799369
Probable prime cofactor has 86 digits

GMP-ECM 6.2.1

9622655310992825577229350836024975249492696593422989786973535540054341330857134349174579161575809034464517566561807069129297953148370928078855117<145>

3653024110435152677285129016086910458005293172585625393<55>
2634161456395797827646263406539006445080140208288850114307294201266976688861729089224671069<91>

Number: 34447_174
N=9622655310992825577229350836024975249492696593422989786973535540054341330857134349174579161575809034464517566561807069129297953148370928078855117
  ( 145 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=3653024110435152677285129016086910458005293172585625393
 r2=2634161456395797827646263406539006445080140208288850114307294201266976688861729089224671069
Version: 
Total time: 226.05 hours.
Scaled time: 405.07 units (timescale=1.792).
Factorization parameters were as follows:
n: 9622655310992825577229350836024975249492696593422989786973535540054341330857134349174579161575809034464517566561807069129297953148370928078855117
m: 10000000000000000000000000000000000
deg: 5
c5: 310000
c0: 23
skew: 0.15
type: snfs
lss: 1
rlim: 5900000
alim: 5900000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5900000/5900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [2950000, 7850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1250581 x 1250829
Total sieving time: 226.05 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,5900000,5900000,28,28,52,52,2.5,2.5,100000
total time: 226.05 hours.
 --------- CPU info (if available) ----------

230739166553902881111886430564497486751910894927849698882603452705918638164125487672336720945132678474595484842822826464790201248945704958345246773<147>

202720502544193253155472756683183303<36>

1138213272254499930643296820016032059483757432491990061526260841951018280753405751022578969878813592572060915491<112>

Factor found in step 2: 202720502544193253155472756683183303

GMP-ECM 6.2.1

1138213272254499930643296820016032059483757432491990061526260841951018280753405751022578969878813592572060915491<112>

2266172878279014315730607731434242315087398795693843<52>
502262330982835789656318035407776239301869911590546746313137<60>

Number: n
N=1138213272254499930643296820016032059483757432491990061526260841951018280753405751022578969878813592572060915491
  ( 112 digits)
Divisors found:
 r1=2266172878279014315730607731434242315087398795693843 (pp52)
 r2=502262330982835789656318035407776239301869911590546746313137 (pp60)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 21.91 hours.
Scaled time: 39.61 units (timescale=1.808).
Factorization parameters were as follows:
name: KA_3_4_175_7
n: 1138213272254499930643296820016032059483757432491990061526260841951018280753405751022578969878813592572060915491
skew: 53039.99
# norm 7.36e+15
c5: 17460
c4: 5859327786
c3: -118467216522632
c2: -13760853615378600227
c1: 187861473514694524755838
c0: 4487634284275327949310944367
# alpha -6.95
Y1: 227078131093
Y0: -2305860398873277449270
# Murphy_E 8.45e-10
# M 2024995312728739307273871443214848386906755758974582669400508108420435202603172697573663281195273174673215143
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [100000, 1200001)
Primes: RFBsize:250150, AFBsize:249691, largePrimes:7037075 encountered
Relations: rels:6984182, finalFF:754863
Max relations in full relation-set: 48
Initial matrix: 499918 x 754863 with sparse part having weight 51708575.
Pruned matrix : 264371 x 266934 with weight 16537923.
Polynomial selection time: 1.90 hours.
Total sieving time: 19.21 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 0.46 hours.
Total square root time: 0.14 hours, sqrts: 1.
Prototype def-par.txt line would be:
gnfs,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 21.91 hours.
 --------- CPU info (if available) ----------

11602877939867331774163539903176107702497201707727833510866101400389953034238283740837690689547831695456001236214118192550729784602892697719215633919712137103<158>

13254045645043572257091523693520891<35>
875421607153306863297223929188753906423199002422805403873143557144062180284928718909392945416795016973639695922753727364733<123>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3001664386
Step 1 took 25730ms
Step 2 took 16394ms
********** Factor found in step 2: 13254045645043572257091523693520891
Found probable prime factor of 35 digits: 13254045645043572257091523693520891
Probable prime cofactor 

GMP-ECM 6.2.1

17776007432186987054571191395486238520852783495248420172952719464299807059321407933245099062844242576117126898209637941995378424337596540658720748273901178777707723289<167>

7425726383081654544236875782791930954367367334881<49>
2393840887093121845768930496778852904498882715267122723163210056079688472851594998868490782363996951675964840457696569<118>

N=17776007432186987054571191395486238520852783495248420172952719464299807059321407933245099062844242576117126898209637941995378424337596540658720748273901178777707723289
  ( 167 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=7425726383081654544236875782791930954367367334881 (pp49)
 r2=2393840887093121845768930496778852904498882715267122723163210056079688472851594998868490782363996951675964840457696569 (pp118)
Version: Msieve v. 1.47
Total time:
Scaled time: 9.40 units (timescale=0.963).
Factorization parameters were as follows:
n: 17776007432186987054571191395486238520852783495248420172952719464299807059321407933245099062844242576117126898209637941995378424337596540658720748273901178777707723289
m: 100000000000000000000000000000000000
deg: 5
c5: 31000
c0: 23
skew: 0.24
type: snfs
lss: 1
rlim: 6900000
alim: 6900000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6900000/6900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3450000, 10250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1629830 x 1630069
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,179.000,5,0,0,0,0,0,0,0,0,6900000,6900000,28,28,53,53,2.5,2.5,100000
total time:

128464679439346734809569037935258591973853468072578193022247369615255813469770277014189998891278444492742002038852955232301209103<129>

353646670031016527175908102419118341663185306947399<51>
363257144279288024180144918237576019310250715262571654967211891753076588328697<78>

Number: n
N=128464679439346734809569037935258591973853468072578193022247369615255813469770277014189998891278444492742002038852955232301209103
  ( 129 digits)
Divisors found:

Fri Feb 24 18:06:50 2012  prp51 factor: 353646670031016527175908102419118341663185306947399
Fri Feb 24 18:06:50 2012  prp78 factor: 363257144279288024180144918237576019310250715262571654967211891753076588328697
Fri Feb 24 18:06:50 2012  elapsed time 02:04:21 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.079).
Factorization parameters were as follows:
name: KA_34447_179
n: 128464679439346734809569037935258591973853468072578193022247369615255813469770277014189998891278444492742002038852955232301209103
skew: 261991.10
# norm 1.15e+18
c5: 34380
c4: 24928109598
c3: -2885389261474038
c2: 1645252744620479697295
c1: -157569460662765339189518354
c0: -11273936079092230561438543587080
# alpha -6.03
Y1: 25743061422143
Y0: -5181974364370762339263033
# Murphy_E 8.24e-11
# M 58830448752060246078750277313047154787857035075746597054020480930331914376453086460681110752414876837974742382337528766846164106
type: gnfs
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
qintsize: 60000
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 11760000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1960971 hash collisions in 10863402 relations (8966423 unique)
Msieve: matrix is 1124920 x 1125157 (325.5 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,128,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5400000,5400000,27,27,51,51,2.5,2.5,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

14484270814902415325865450219653052727391976966600775466448346529156002576524374337544813604459003316335190451283655885677494466060544405401<140>

9791890491902833628964733769220893989<37>
1479210866061036099842499581923246436338566611460096089904032758937746261778413647337458348251152785509<103>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1047575613
Step 1 took 48531ms
Step 2 took 19896ms
********** Factor found in step 2: 9791890491902833628964733769220893989
Found probable prime factor of 37 digits: 9791890491902833628964733769220893989
Probable prime cofactor 1479210866061036099842499581923246436338566611460096089904032758937746261778413647337458348251152785509 has 103 digits

56291112922216383239955884062424433002106636048022130401058642541103484319577219482976782247983049752998218353594921885521530975654737378362673164477519088499211<161>

12831453429634028414986366543852691254427850658434162248042079400274223227<74>
4386963116135619804448324712228603111859753452107903321760474123323490978353565181673393<88>

N=56291112922216383239955884062424433002106636048022130401058642541103484319577219482976782247983049752998218353594921885521530975654737378362673164477519088499211
  ( 161 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=12831453429634028414986366543852691254427850658434162248042079400274223227 (pp74)
 r2=4386963116135619804448324712228603111859753452107903321760474123323490978353565181673393 (pp88)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 108.32 hours.
Scaled time: 208.62 units (timescale=1.926).
Factorization parameters were as follows:
n: 56291112922216383239955884062424433002106636048022130401058642541103484319577219482976782247983049752998218353594921885521530975654737378362673164477519088499211
m: 1000000000000000000000000000000000000
deg: 5
c5: 310
c0: 23
skew: 0.59
# Murphy_E = 9.079e-11
type: snfs
lss: 1
rlim: 7700000
alim: 7700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7700000/7700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3850000, 9450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1338422 x 1338649
Total sieving time: 106.14 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 1.86 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,182.000,5,0,0,0,0,0,0,0,0,7700000,7700000,28,28,53,53,2.5,2.5,100000
total time: 108.32 hours.
 --------- CPU info (if available) ----------

135871611372989955358327168314795208375742660945620804115084355452279731616478413478505597207912308782989136592743818303043882633376539081839873955357316628630833780929<168>

743352780378090141352876669310110314136598750751513820063<57>
182782139193562752955402747359789815819945760798645225098359214326612933991587954787513862261138914341515693983<111>

N=135871611372989955358327168314795208375742660945620804115084355452279731616478413478505597207912308782989136592743818303043882633376539081839873955357316628630833780929
  ( 168 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=743352780378090141352876669310110314136598750751513820063 (pp57)
 r2=182782139193562752955402747359789815819945760798645225098359214326612933991587954787513862261138914341515693983 (pp111)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 202.99 hours.
Scaled time: 390.96 units (timescale=1.926).
Factorization parameters were as follows:
n: 135871611372989955358327168314795208375742660945620804115084355452279731616478413478505597207912308782989136592743818303043882633376539081839873955357316628630833780929
m: 1000000000000000000000000000000000000
deg: 5
c5: 31000
c0: 23
skew: 0.24
# Murphy_E = 4.811e-11
type: snfs
lss: 1
rlim: 8300000
alim: 8300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 8300000/8300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4150000, 14550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2064599 x 2064837
Total sieving time: 198.39 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 4.06 hours.
Time per square root: 0.30 hours.
Prototype def-par.txt line would be:
snfs,184.000,5,0,0,0,0,0,0,0,0,8300000,8300000,28,28,54,54,2.5,2.5,100000
total time: 202.99 hours.
 --------- CPU info (if available) ----------

191188194785162957745652943799398603151880563731569285801463716594894574340194886130958115589090043665739945342873549526898665087794278795719186500507811223355982721081389409<174>

237349828833458037266370999935411<33>
805512250524160053024218670593153283285936169981890369660778171822088933584384586054521660133841097184028353756005935093638355078054636670619<141>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3841333516
Step 1 took 25970ms
Step 2 took 16530ms
********** Factor found in step 2: 237349828833458037266370999935411
Found probable prime factor of 33 digits: 237349828833458037266370999935411
Probable prime cofactor 805512250524160053024218670593153283285936169981890369660778171822088933584384586054521660133841097184028353756005935093638355078054636670619 has 141 digits

GMP-ECM 6.2.1

10717286365739175198588004090812268488750117660072687056285119583601988995829236016824957047174027079281805062688907816383303141861366311454496363759095514712981333<164>

5047924110512241526894469103113508444376766602863919926198083233151366771<73>
2123107663885151254201031345475348458840732434320763775262761545402065888954144484073273623<91>

N=10717286365739175198588004090812268488750117660072687056285119583601988995829236016824957047174027079281805062688907816383303141861366311454496363759095514712981333
  ( 164 digits)
SNFS difficulty: 187 digits.
Divisors found:
 r1=5047924110512241526894469103113508444376766602863919926198083233151366771 (pp73)
 r2=2123107663885151254201031345475348458840732434320763775262761545402065888954144484073273623 (pp91)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 167.82 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 10717286365739175198588004090812268488750117660072687056285119583601988995829236016824957047174027079281805062688907816383303141861366311454496363759095514712981333
m: 10000000000000000000000000000000000000
deg: 5
c5: 310
c0: 23
skew: 0.59
# Murphy_E = 5.687e-11
type: snfs
lss: 1
rlim: 9300000
alim: 9300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 240000
Factor base limits: 9300000/9300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4650000, 12330001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1819805 x 1820033
Total sieving time: 164.01 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 3.34 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,187.000,5,0,0,0,0,0,0,0,0,9300000,9300000,28,28,54,54,2.5,2.5,100000
total time: 167.82 hours.
 --------- CPU info (if available) ----------

621519517161310129735897361365239766204220755736857968130647940848504346295857128770858835397360042352397606887928972475324676137545347595293962993945403141969319339829<168>

27181360475639262079046595524533991605412621599457<50>
22865651545232045114928608982368721809477708343024387252594359607073080471538964031818295300119894440491538028451152597<119>

GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 621519517161310129735897361365239766204220755736857968130647940848504346295857128770858835397360042352397606887928972475324676137545347595293962993945403141969319339829 (168 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2071465445
Step 1 took 29363ms
********** Factor found in step 1: 27181360475639262079046595524533991605412621599457
Found probable prime factor of 50 digits: 27181360475639262079046595524533991605412621599457
Probable prime cofactor 22865651545232045114928608982368721809477708343024387252594359607073080471538964031818295300119894440491538028451152597 has 119 digits

Core i7-4930K

10162286952323066613207172947005158863509165403501880328337886840094136306724570789371773365326434121389819764969855226344308900549607891437979452918061677851673288529<167>

503402729603139010225984783984653731790839330864343787<54>
20187190801159491398293020577721528747579679641978579847670756243710963831564791943738691141039339818314727020467<113>

__Polynomial__
n: 10162286952323066613207172947005158863509165403501880328337886840094136306724570789371773365326434121389819764969855226344308900549607891437979452918061677851673288529
skew: 0.24
c0: 23
c5: 31000
Y0: 10000000000000000000000000000000000000
Y1: -1

__Parameters__
#General parameters
name = 34447_188
N = 10162286952323066613207172947005158863509165403501880328337886840094136306724570789371773365326434121389819764969855226344308900549607891437979452918061677851673288529
tasks.wutimeout = 7200 # 2 hours

#Polyselect - We are supplying the polynomial here.
tasks.polyselect.admin = 0
tasks.polyselect.admax = 0
tasks.polyselect.adrange = 0
#Import the poly
tasks.polyselect.import = /home/dylan/Desktop/factoring/34447_188.poly

#Sieving
tasks.lim0 = 8e6
tasks.lim1 = 8e6
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.sqside = 0
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.125
tasks.sieve.lambda1 = 2.125
tasks.sieve.ncurves0 = 12
tasks.sieve.ncurves1 = 10
tasks.I = 13
tasks.qmin = 1500000
tasks.sieve.qrange = 1e4
tasks.sieve.threads = 2

#Filtering
tasks.filter.purge.keep = 160
tasks.filter.merge.keep = 100
tasks.filter.add_ratio = 0.05
tasks.filter.target_density = 180

#Linear algebra and square root
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

__Timing and Factors__
Info:Square Root: Factors: 20187190801159491398293020577721528747579679641978579847670756243710963831564791943738691141039339818314727020467 503402729603139010225984783984653731790839330864343787
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: 3.31/1.73308
Info:Generate Free Relations: Total cpu/real time for freerel: 47.13/22.089
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17909764
Info:Lattice Sieving: Average J: 3791.57 for 1447071 special-q, max bucket fill -bkmult 1.0,1s:1.146380
Info:Lattice Sieving: Total time: 370390s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 33.83/75.9804
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 74.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 274.42/256.416
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 223.20000000000002s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 229.64/234.596
Info:Filtering - Merging: Total cpu/real time for merge: 776.02/716.515
Info:Filtering - Merging: Total cpu/real time for replay: 55.6/46.6872
Info:Linear Algebra: Total cpu/real time for bwc: 21961.4/5850.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 3689.33, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (44544 iterations)
Info:Linear Algebra: Lingen CPU time 169.05, WCT time 46.91
Info:Linear Algebra: Mksol: WCT time 2053.27, iteration CPU time 0.09, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (22272 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 51.11/20.1301
Info:Square Root: Total cpu/real time for sqrt: 617.74/174.417
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 785164/192951

CADO-NFS commit 50ad0f1fd

Core i5-6400, Ubuntu 18.04

20897379304140945521328968659742100324120472756195631231890448535567560450792734452460772923037866591201105029267097329118050355241423328342911526184574258769352811<164>

10075435981164048834527663205969045701087<41>

2074091815302924624510614374133885651543245670884847017376304292721793251060405296369501383044665343941530711318729185489653<124>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4173171765
Step 1 took 59847ms
Step 2 took 22948ms
********** Factor found in step 2: 10075435981164048834527663205969045701087
Found probable prime factor of 41 digits: 10075435981164048834527663205969045701087
Composite cofactor 2074091815302924624510614374133885651543245670884847017376304292721793251060405296369501383044665343941530711318729185489653 has 124 digits

2074091815302924624510614374133885651543245670884847017376304292721793251060405296369501383044665343941530711318729185489653<124>

3234382838284334006005362328553260858752754155858653483<55>
641263548257978850594312441205866978975586797442638171310941971536991<69>

N = 2074091815302924624510614374133885651543245670884847017376304292721793251060405296369501383044665343941530711318729185489653 (124 digits)
Divisors found:
r1=3234382838284334006005362328553260858752754155858653483 (pp55)
r2=641263548257978850594312441205866978975586797442638171310941971536991 (pp69)
Version: Msieve v. 1.48
Total time: 18.90 hours.
Factorization parameters were as follows:
n: 2074091815302924624510614374133885651543245670884847017376304292721793251060405296369501383044665343941530711318729185489653
Y0: -872415194190946032691047
Y1: 19258954724707
c0: 7553539357147639121274566725000
c1: 135365899122845408807538636
c2: -200856858251098412522
c3: -2835132173055903
c4: 1935737584
c5: 4104
skew: 392228.50 
type: gnfs
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10843687
Relations: 1488692 relations
Pruned matrix : 857741 x 857967
Polynomial selection time: 0.00 hours.
Total sieving time: 17.82 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.88 hours.
time per square root: 0.14 hours.
Prototype def-par.txt line would be: gnfs,123,5,65,2000,1e-05,0.28,250,20,50000,3600,5200000,5200000,27,27,53,53,2.5,2.5,100000
total time: 18.90 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

170652557900265900441927500891618924946539774555534996054004640234397851391444547258113732357958503189228945220252085913012799467577182019057180311889476012017155916409130391<174>

938939424276220156588067577227983963633<39>
181750338188017966926585180534245271074438087656727304705093140750638388807143161919233728286312335186618226569058027162361635240453127<135>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2726623914
Step 1 took 26296ms
Step 2 took 16438ms
********** Factor found in step 2: 938939424276220156588067577227983963633
Found probable prime factor of 39 digits: 938939424276220156588067577227983963633
Probable prime cofactor 181750338188017966926585180534245271074438087656727304705093140750638388807143161919233728286312335186618226569058027162361635240453127 has 135 digits

GMP-ECM 6.2.1

719090698213871491533286940385061470656460218046856877754581303641846439341220134539549988401762932034330781721178380886105311992577128276501971700301554163767107399675249362096961261888193<189>

721654199380406659494358792402938501466495953581632403259971904944621801459<75>
996447743020499121699374464603815726961346486644180235752675167236186326151725810337002716980797888594745956623227<114>

Number: 34447_191
N=719090698213871491533286940385061470656460218046856877754581303641846439341220134539549988401762932034330781721178380886105311992577128276501971700301554163767107399675249362096961261888193
  ( 189 digits)
SNFS difficulty: 192 digits.
Divisors found:
 r1=721654199380406659494358792402938501466495953581632403259971904944621801459
 r2=996447743020499121699374464603815726961346486644180235752675167236186326151725810337002716980797888594745956623227
Version: 
Total time: 366.43 hours.
Scaled time: 935.87 units (timescale=2.554).
Factorization parameters were as follows:
name: 34447_191
n: 719090698213871491533286940385061470656460218046856877754581303641846439341220134539549988401762932034330781721178380886105311992577128276501971700301554163767107399675249362096961261888193
m: 100000000000000000000000000000000000000
deg: 5
c5: 310
c0: 23
skew: 0.59
type: snfs
lss: 1
rlim: 11300000
alim: 11300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11300000/11300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5650000, 10350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2016938 x 2017186
Total sieving time: 366.43 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11300000,11300000,28,28,55,55,2.5,2.5,100000
total time: 366.43 hours.
 --------- CPU info (if available) ----------

295577893761239400848221288126913990712401051642730034367053934850375536727067712700088660134934760811511717806066673424302057282698613097290849290754904016239<159>

68847142672712911758410719469952112423811<41>
4293248525452453558473029420197389416256988299456207145251790401469095489360510382530193461098608464957750681137104549<118>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1102381511
Step 1 took 24753ms
Step 2 took 16493ms
********** Factor found in step 2: 68847142672712911758410719469952112423811
Found probable prime factor of 41 digits: 68847142672712911758410719469952112423811
Probable prime cofactor 4293248525452453558473029420197389416256988299456207145251790401469095489360510382530193461098608464957750681137104549 has 118 digits

GMP-ECM 6.2.1

2386350885174854436053217363274002671165351050585010410814704182401801553466884870427405608528171171788052507623788732109896759155190957748356143059993685743<157>

3882524105482775214803165516244179299577953529597867237<55>
614639039022301689473429407925268512779782335873146703138161959057714398230608381592430265667261385539<102>

238635088517485443605321736327400267116535105058501041081470418240180155346688487042740560852817117178805250762378873210989675915519095774835614305999368574=3882524105482775214803165516244179299577953529597867237*614639039022301689473429407925268512779782335873146703138161959057714398230608381592430265667261385539

cado polynomial
n: 2386350885174854436053217363274002671165351050585010410814704182401801553466884870427405608528171171788052507623788732109896759155190957748356143059993685743
skew: 0.65
type: snfs
c0: 23
c6: 310
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 310*x^6+23
# g(x) = -x+100000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 12200000
tasks.lim1 = 12200000
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: 3882524105482775214803165516244179299577953529597867237 614639039022301689473429407925268512779782335873146703138161959057714398230608381592430265667261385539
Info:Square Root: Total cpu/real time for sqrt: 851.33/256.648
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 29629947
Info:Lattice Sieving: Average J: 1893.33 for 4538681 special-q, max bucket fill -bkmult 1.0,1s:1.193460
Info:Lattice Sieving: Total time: 856011s
Info:Square Root: Total cpu/real time for sqrt: 851.33/256.648
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 126.36/150.665
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 149.49999999999997s
Info:Filtering - Merging: Merged matrix has 2698689 rows and total weight 458942104 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 755.76/209.321
Info:Filtering - Merging: Total cpu/real time for replay: 106.88/93.1911
Info:Linear Algebra: Total cpu/real time for bwc: 127779/32767.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 81916.63, WCT time 20933.23, iteration CPU time 0.23, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (84480 iterations)
Info:Linear Algebra: Lingen CPU time 581.52, WCT time 147.64
Info:Linear Algebra: Mksol: CPU time 44294.72,  WCT time 11335.98, iteration CPU time 0.25, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (42496 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 8.06/3.42417
Info:Quadratic Characters: Total cpu/real time for characters: 94.52/40.684
Info:Filtering - Singleton removal: Total cpu/real time for purge: 450.32/515.826
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 551.42/562.694
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 461.20000000000005s
Info:Generate Free Relations: Total cpu/real time for freerel: 183.54/47.3621
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.75938e+06/231850
Info:root: Cleaning up computation data in /tmp/cado.8h0ctanm
3882524105482775214803165516244179299577953529597867237 614639039022301689473429407925268512779782335873146703138161959057714398230608381592430265667261385539

cado-nfs-3.0.0

3 x Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

351701756121447332515410010420573085759117898181408671748878607985187559457843177032673150501985970111218911694788125434189285625639765391945020158829505260016093766228068357701<177>

19142262145430902451199177266387881<35>

18373050867731199376514309341207865522577073846536752888979846972728248598440480445014355515199596125693843553423683088903672752641169831356221<143>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2790789935
Step 1 took 28016ms
Step 2 took 18710ms
********** Factor found in step 2: 19142262145430902451199177266387881
Found probable prime factor of 35 digits: 19142262145430902451199177266387881
Composite cofactor 18373050867731199376514309341207865522577073846536752888979846972728248598440480445014355515199596125693843553423683088903672752641169831356221 has 143 digits

GMP-ECM 6.2.1

18373050867731199376514309341207865522577073846536752888979846972728248598440480445014355515199596125693843553423683088903672752641169831356221<143>

412242548237074424916722279110844056677314165993604585585319714629047<69>
44568545741583998324825149445399294137449436284928832445869149146703657643<74>

18373050867731199376514309341207865522577073846536752888979846972728248598440480445014355515199596125693843553423683088903672752641169831356221=412242548237074424916722279110844056677314165993604585585319714629047*44568545741583998324825149445399294137449436284928832445869149146703657643

n: 18373050867731199376514309341207865522577073846536752888979846972728248598440480445014355515199596125693843553423683088903672752641169831356221
skew: 109378.666
c0: -17154402787993524936233761574092
c1: 1183180804754313760479078784
c2: 15877314478008287743193
c3: -174616283240427019
c4: -130014113776
c5: 3009600
Y0: -2523520329298534817188267770
Y1: 1512255890902249397987
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 2.13e-07
# found by revision 7f9c8bd19
# f(x) = 3009600*x^5-130014113776*x^4-174616283240427019*x^3+15877314478008287743193*x^2+1183180804754313760479078784*x-17154402787993524936233761574092
# g(x) = 1512255890902249397987*x-2523520329298534817188267770

Info:Square Root: Factors: 44568545741583998324825149445399294137449436284928832445869149146703657643 412242548237074424916722279110844056677314165993604585585319714629047
Info:Square Root: Total cpu/real time for sqrt: 12883.5/1759.79
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 77228.6
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 78500/42.270/51.265/56.310/0.941
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 78500/40.890/45.829/51.940/1.190
Info:Polynomial Selection (size optimized): Total time: 39198.1
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1798.26
Info:Polynomial Selection (root optimized): Rootsieve time: 1796.76
Info:Generate Factor Base: Total cpu/real time for makefb: 49.91/36.5723
Info:Generate Free Relations: Total cpu/real time for freerel: 1242.56/1029.2
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 46764223
Info:Lattice Sieving: Average J: 3791.72 for 882947 special-q, max bucket fill -bkmult 1.0,1s:1.235440
Info:Lattice Sieving: Total time: 426062s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 156.56/109.108
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 108.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1902.58/1137.78
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 926.8000000000002s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 2069.87/1233.04
Info:Filtering - Merging: Total cpu/real time for merge: 4876.06/4492.5
Info:Filtering - Merging: Total cpu/real time for replay: 422.55/385.172
Info:Linear Algebra: Total cpu/real time for bwc: 285321/35706.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 17699.53, iteration CPU time 0.29, COMM 0.01, cpu-wait 0.03, comm-wait 0.0 (106000 iterations)
Info:Linear Algebra: Lingen CPU time 539.33, WCT time 125.06
Info:Linear Algebra: Mksol: WCT time 17858.51, iteration CPU time 0.3, COMM 0.01, cpu-wait 0.03, comm-wait 0.0 (53000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 150.53/37.1882
Info:Square Root: Total cpu/real time for sqrt: 12883.5/1759.79
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.89346e+06/486538
44568545741583998324825149445399294137449436284928832445869149146703657643 412242548237074424916722279110844056677314165993604585585319714629047

cado-nfs-3.0.0

Linux Ubuntu 18.04 LTS
GenuineIntel Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz [Family 6 Model 63 Stepping 2] (12 processors)

43580365628543660665327487171680183591911836457277139126898213839478911187939345639139676475366669334702639699896509551080378204011110790609696829500249849911404746609410628437<176>

7386630910986552562809940820748076551017045993388020132933<58>
5899897551903415953292984598426225821768435977371270928009307464658814577618077309698783445640139207896410420766247889<118>

43580365628543660665327487171680183591911836457277139126898213839478911187939345639139676475366669334702639699896509551080378204011110790609696829500249849911404746609410628437=7386630910986552562809940820748076551017045993388020132933*5899897551903415953292984598426225821768435977371270928009307464658814577618077309698783445640139207896410420766247889

cado polynomial
n: 43580365628543660665327487171680183591911836457277139126898213839478911187939345639139676475366669334702639699896509551080378204011110790609696829500249849911404746609410628437
skew: 0.59
type: snfs
c0: 23
c5: 310
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 310*x^5+23
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13700000
tasks.lim1 = 13700000
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: 5899897551903415953292984598426225821768435977371270928009307464658814577618077309698783445640139207896410420766247889 7386630910986552562809940820748076551017045993388020132933
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: 5.81/2.38802
Info:Generate Free Relations: Total cpu/real time for freerel: 102.35/26.4075
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28949501
Info:Lattice Sieving: Average J: 1894.7 for 3253379 special-q, max bucket fill -bkmult 1.0,1s:1.155690
Info:Lattice Sieving: Total time: 990728s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 55.5/150.39
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 149.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 485.89/467.885
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 409.1s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 418.63/465.952
Info:Filtering - Merging: Merged matrix has 2574312 rows and total weight 440080137 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 367.97/105.928
Info:Filtering - Merging: Total cpu/real time for replay: 98.79/87.3457
Info:Linear Algebra: Total cpu/real time for bwc: 115389/29485.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 18826.51, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (80896 iterations)
Info:Linear Algebra: Lingen CPU time 522.29, WCT time 151.32
Info:Linear Algebra: Mksol: WCT time 10243.18, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (40448 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 88.6/38.315
Info:Square Root: Total cpu/real time for sqrt: 703.78/222.701
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.95868e+06/88222.8
Info:root: Cleaning up computation data in /tmp/cado.vo895d1_
5899897551903415953292984598426225821768435977371270928009307464658814577618077309698783445640139207896410420766247889 7386630910986552562809940820748076551017045993388020132933

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)

28211279765200690887458003074808911720381402848051689908020839566611294531290112837120766222933053318389991190860026559024291482570437168332773975461548496632731<161>

1317821221526833722600050936033210980992875584072613<52>
21407516667939959656837667240390676729948949280178426685299522325703934226447910149000562713758998920525325887<110>

28211279765200690887458003074808911720381402848051689908020839566611294531290112837120766222933053318389991190860026559024291482570437168332773975461548496632731=1317821221526833722600050936033210980992875584072613*21407516667939959656837667240390676729948949280178426685299522325703934226447910149000562713758998920525325887

cado polynomial
n: 28211279765200690887458003074808911720381402848051689908020839566611294531290112837120766222933053318389991190860026559024291482570437168332773975461548496632731
skew: 1.40
type: snfs
c0: 230
c6: 31
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 31*x^6+230
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 14800000
tasks.lim1 = 14800000
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: 21407516667939959656837667240390676729948949280178426685299522325703934226447910149000562713758998920525325887 1317821221526833722600050936033210980992875584072613
Info:Square Root: Total cpu/real time for sqrt: 810.22/248.566
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 127.44/151.686
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 151.10000000000002s
Info:Linear Algebra: Total cpu/real time for bwc: 137925/35320.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 88426.52, WCT time 22563.09, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (87552 iterations)
Info:Linear Algebra: Lingen CPU time 609.21, WCT time 154.59
Info:Linear Algebra: Mksol: CPU time 47848.67,  WCT time 12223.76, iteration CPU time 0.26, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (44032 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 29533486
Info:Lattice Sieving: Average J: 1893.23 for 4350894 special-q, max bucket fill -bkmult 1.0,1s:1.195330
Info:Lattice Sieving: Total time: 961688s
Info:Generate Factor Base: Total cpu/real time for makefb: 9.63/3.84731
Info:Square Root: Total cpu/real time for sqrt: 810.22/248.566
Info:Filtering - Merging: Merged matrix has 2799407 rows and total weight 478568915 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 777.76/215.911
Info:Filtering - Merging: Total cpu/real time for replay: 110.09/96.9713
Info:Filtering - Singleton removal: Total cpu/real time for purge: 447.37/524.366
Info:Quadratic Characters: Total cpu/real time for characters: 95.86/42.4624
Info:Generate Free Relations: Total cpu/real time for freerel: 183.76/47.0895
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 561.38/570.611
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 467.00000000000006s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.94396e+06/270371
21407516667939959656837667240390676729948949280178426685299522325703934226447910149000562713758998920525325887 1317821221526833722600050936033210980992875584072613

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

15786227992852403351365279566459256000167028476827599622556381022509633418324347914206433957296725579851069669716464068253539043161075031941650027473129039173779380843768793886350361581006010479<194>

6436266466144055067461648891356549556026258520593701980922870544506060288208710591121799<88>
2452699569834602859242403317148160722994718292067334996147620919649028216070864338095981133276775420687321<106>

Number: n
N=15786227992852403351365279566459256000167028476827599622556381022509633418324347914206433957296725579851069669716464068253539043161075031941650027473129039173779380843768793886350361581006010479
  ( 194 digits)
SNFS difficulty: 199 digits.
Divisors found:

Sat Apr 10 18:26:53 2010  prp88 factor: 6436266466144055067461648891356549556026258520593701980922870544506060288208710591121799
Sat Apr 10 18:26:53 2010  prp106 factor: 2452699569834602859242403317148160722994718292067334996147620919649028216070864338095981133276775420687321
Sat Apr 10 18:26:53 2010  elapsed time 07:22:55 (Msieve 1.42 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.077).
Factorization parameters were as follows:
name: KA_3_4_197_7
n: 15786227992852403351365279566459256000167028476827599622556381022509633418324347914206433957296725579851069669716464068253539043161075031941650027473129039173779380843768793886350361581006010479
m: 1000000000000000000000000000000000000000
deg: 5
c5: 31000
c0: 23
skew: 0.24
type: snfs
lss: 1
rlim: 14800000
alim: 14800000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 14800000/14800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 25100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5225392 hash collisions in 31593954 relations
Msieve: matrix is 2280354 x 2280580 (643.8 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,199,5,0,0,0,0,0,0,0,0,14800000,14800000,28,28,56,56,2.5,2.5,100000
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: 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).

259902868819625338191737486893476582351452535651759637254418540502671210971327353684436099725577893458803244801581892886827983432726858469574896555088011753690541470556465758849<177>

587694556997297870644186569026808713<36>
442241408781365201047390169107407138612743617495375426139753485106195550727452708337636024716855229535778626601983057531826393257778505615673<141>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1953325660
Step 1 took 28043ms
Step 2 took 4695ms
********** Factor found in step 2: 587694556997297870644186569026808713
Found probable prime factor of 36 digits: 587694556997297870644186569026808713
Probable prime cofactor 442241408781365201047390169107407138612743617495375426139753485106195550727452708337636024716855229535778626601983057531826393257778505615673 has 141 digits

GMP-ECM 6.2.1

4490414447412613856220332887816511443418309783227927829242479586712102408017325234933816287626303859498235775266788877046425616057516553169855980760699062129518122336228085990319<178>

6628849320034648100632270338666584942046431<43>
677404815016845648562855664110262871507238853726302049230200304513664532868185304581946414114449602360915688037329654802050158967059249<135>

#
# N = 31x10^201+23 = 34(200)7
#
n: 4490414447412613856220332887816511443418309783227927829242479586712102408017325234933816287626303859498235775266788877046425616057516553169855980760699062129518122336228085990319
m: 10000000000000000000000000000000000000000
deg: 5
c5: 310
c0: 23
skew: 0.59
# Murphy_E = 1.362e-11
type: snfs
lss: 1
rlim: 16600000
alim: 16600000
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 4490414447412613856220332887816511443418309783227927829242479586712102408017325234933816287626303859498235775266788877046425616057516553169855980760699062129518122336228085990319 (178 digits)
Using B1=43780000, B2=240491351116, polynomial Dickson(12), sigma=1:731774692
Step 1 took 119792ms
Step 2 took 39006ms
********** Factor found in step 2: 6628849320034648100632270338666584942046431
Found prime factor of 43 digits: 6628849320034648100632270338666584942046431
Prime cofactor 677404815016845648562855664110262871507238853726302049230200304513664532868185304581946414114449602360915688037329654802050158967059249 has 135 digits

483875470280837336255542149154427432353441547998373920017796951532203742209861594912364898662007571446937552737300384418769857421502561373<138>

2343565683428981715577713278681958434436077066491<49>
206469771127923441103804445225779361288748882648317322975037819666173798649792871218720903<90>

Number: 34447_203
N = 483875470280837336255542149154427432353441547998373920017796951532203742209861594912364898662007571446937552737300384418769857421502561373 (138 digits)
Divisors found:
r1=2343565683428981715577713278681958434436077066491 (pp49)
r2=206469771127923441103804445225779361288748882648317322975037819666173798649792871218720903 (pp90)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 261.72 hours.
Factorization parameters were as follows:
# Murphy_E = 3.316e-11, selected by Erik Branger
n: 483875470280837336255542149154427432353441547998373920017796951532203742209861594912364898662007571446937552737300384418769857421502561373
Y0: -566192327432783997674888012
Y1: 1090191737495291
c0: 160160106545126544115790717540835
c1: 56425318411807664407341482953
c2: 21241691632783909980505
c3: -51473916071701353
c4: -7693079136
c5: 8316
skew: 1531735.68
type: gnfs
# selected mechanically
rlim: 15800000
alim: 15800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 15800000/15800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [7900000, 19200000)
Relations: 23097400
Relations in full relation-set: 3511460 relations
Pruned matrix : 2191375 x 2191601
Polynomial selection time: 0.00 hours.
Total sieving time: 257.44 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 4.03 hours.
time per square root: 0.14 hours.
Prototype def-par.txt line would be: gnfs,137,5,65,2000,1e-05,0.28,250,20,50000,3600,15800000,15800000,28,28,55,55,2.6,2.6,100000
total time: 261.72 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

353654012675842369072403706188236472231111441303807730771670038396072158105593393531663433101316428790212437693460712269228567887225980586876128091738522887869070365479533401101147818821<186>

1298973443733908717985682143631<31>

272256537946812298567245204231600263943300708286235846359015501789670088299747825520030793672503343449969878012078495476182415230243884082613812435761216491<156>

Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=565964294
Step 1 took 5297ms
Step 2 took 3884ms
********** Factor found in step 2: 1298973443733908717985682143631
Found probable prime factor of 31 digits: 1298973443733908717985682143631
Composite cofactor 

1148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148149<208>

1702089752450351677742861493012771697919162134100113398725018889091792490532764011<82>
674552059605116814298333830127483598878582265779473892184587881677873669530886157322353140843274214505808920751737206159006559<126>

RelProcTime: 1738
BLanczosTime: 10841
sqrtTime: 2761
prp82 factor: 1702089752450351677742861493012771697919162134100113398725018889091792490532764011
prp126 factor: 674552059605116814298333830127483598878582265779473892184587881677873669530886157322353140843274214505808920751737206159006559

660259290163509290380019302081394596739185056385486709742709700373945647147007620259632301974371523812920167230994269105515219909979282668451983451021323473603563950563062651984189<180>

29415616147384723541645766174919922793143456572598948440772252834709097903988346462970328889963810711205407301144168396472080345954686241979201670198595340522431443839787963231522052043681<188>

53261553646771706924852123705848306837882559<44>

552286107582737871527626642149474701890297207489845963448327327033908381245265730196790996214004266582556194857289875903939388520090396934995359<144>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3286563224
Step 1 took 85076ms
********** Factor found in step 1: 53261553646771706924852123705848306837882559
Found probable prime factor of 44 digits: 53261553646771706924852123705848306837882559

552286107582737871527626642149474701890297207489845963448327327033908381245265730196790996214004266582556194857289875903939388520090396934995359<144>

1618590099974934070130718591420536003046697760124684115492223<61>
341214312129606331798188096625436919924626372275107829687703937709268808825684824033<84>

PID14114 2020-03-29 06:50:05,410 Debug:root: Root parameter dictionary:
N = 552286107582737871527626642149474701890297207489845963448327327033908381245265730196790996214004266582556194857289875903939388520090396934995359
name = 34447_210
tasks.I = 14
tasks.lim0 = 13000000
tasks.lim1 = 20000000
tasks.lpb0 = 30
tasks.lpb1 = 31
tasks.qmin = 100000
tasks.threads = 6
tasks.wutimeout = 1800
tasks.filter.required_excess = 0.05
tasks.filter.target_density = 135.0
tasks.filter.purge.keep = 175
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.bwc.interleaving = 0
tasks.linalg.bwc.threads = 6
tasks.linalg.characters.nchar = 50
tasks.polyselect.P = 300000
tasks.polyselect.admax = 20e4
tasks.polyselect.admin = 12600
tasks.polyselect.adrange = 840
tasks.polyselect.degree = 5
tasks.polyselect.incr = 60
tasks.polyselect.nq = 15625
tasks.polyselect.nrkeep = 100
tasks.polyselect.threads = 2
tasks.sieve.lambda0 = 1.81
tasks.sieve.lambda1 = 1.79
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 58
tasks.sieve.ncurves0 = 19
tasks.sieve.ncurves1 = 22
tasks.sieve.qrange = 5000
tasks.sieve.rels_wanted = 85000000
tasks.sieve.las.threads = 2
tasks.sqrt.threads = 2
PID14114 2020-03-29 07:10:12,303 Info:Polynomial Selection (root optimized): Best polynomial is:
n: 552286107582737871527626642149474701890297207489845963448327327033908381245265730196790996214004266582556194857289875903939388520090396934995359
skew: 527191.278
c0: -117937580052943798916332230121840
c1: 7489027213990222970298885696
c2: 15507683592490679207624
c3: -54678856460709580
c4: -14258902617
c5: 31680
Y0: -7051449503997232865523112993
Y1: 470822684333986229
# MurphyE (Bf=2.147e+09,Bg=1.074e+09,area=1.342e+13) = 3.117e-06
PID14114 2020-03-29 12:13:11,754 Info:Square Root: Factors: 1618590099974934070130718591420536003046697760124684115492223 341214312129606331798188096625436919924626372275107829687703937709268808825684824033
PID14114 2020-03-29 12:13:11,754 Debug:Square Root: Exit SqrtTask.run(sqrt)
PID14114 2020-03-29 12:13:11,754 Info:Polynomial Selection (size optimized): Aggregate statistics:
PID14114 2020-03-29 12:13:11,754 Info:Polynomial Selection (size optimized): potential collisions: 144726
PID14114 2020-03-29 12:13:11,754 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 146369/41.900/52.358/60.620/1.239
PID14114 2020-03-29 12:13:11,754 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 121557/41.900/46.241/52.660/0.971
PID14114 2020-03-29 12:13:11,754 Info:Polynomial Selection (size optimized): Total time: 63333.6
PID14114 2020-03-29 12:13:11,755 Info:Polynomial Selection (root optimized): Aggregate statistics:
PID14114 2020-03-29 12:13:11,755 Info:Polynomial Selection (root optimized): Total time: 2190.08
PID14114 2020-03-29 12:13:11,755 Info:Polynomial Selection (root optimized): Rootsieve time: 2186.34
PID14114 2020-03-29 12:13:11,755 Info:Generate Factor Base: Total cpu/real time for makefb: 14.4/2.74021
PID14114 2020-03-29 12:13:11,755 Info:Generate Free Relations: Total cpu/real time for freerel: 1340.45/226.24
PID14114 2020-03-29 12:13:11,755 Info:Lattice Sieving: Aggregate statistics:
PID14114 2020-03-29 12:13:11,755 Info:Lattice Sieving: Total number of relations: 92816168
PID14114 2020-03-29 12:13:11,755 Info:Lattice Sieving: Average J: 8016.73 for 416798 special-q, max bucket fill -bkmult 1.0,1s:1.087210
PID14114 2020-03-29 12:13:11,755 Info:Lattice Sieving: Total time: 408956s
PID14114 2020-03-29 12:13:11,755 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 266.48/330.086
PID14114 2020-03-29 12:13:11,755 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
PID14114 2020-03-29 12:13:11,755 Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 329.0s
PID14114 2020-03-29 12:13:11,755 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1038.6/423.673
PID14114 2020-03-29 12:13:11,755 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
PID14114 2020-03-29 12:13:11,756 Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 331.3s
PID14114 2020-03-29 12:13:11,756 Info:Filtering - Singleton removal: Total cpu/real time for purge: 425.99/262.687
PID14114 2020-03-29 12:13:11,756 Info:Filtering - Merging: Total cpu/real time for merge: 147.99/33.386
PID14114 2020-03-29 12:13:11,756 Info:Filtering - Merging: Total cpu/real time for replay: 52.56/53.9155
PID14114 2020-03-29 12:13:11,756 Info:Linear Algebra: Total cpu/real time for bwc: 39436.4/6997.57
PID14114 2020-03-29 12:13:11,756 Info:Linear Algebra: Aggregate statistics:
PID14114 2020-03-29 12:13:11,756 Info:Linear Algebra: Krylov: WCT time 4461.75, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (65792 iterations)
PID14114 2020-03-29 12:13:11,756 Info:Linear Algebra: Lingen CPU time 254.76, WCT time 47.97
PID14114 2020-03-29 12:13:11,756 Info:Linear Algebra: Mksol: WCT time 2399.69, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (32000 iterations)
PID14114 2020-03-29 12:13:11,756 Info:Quadratic Characters: Total cpu/real time for characters: 69.16/21.9927
PID14114 2020-03-29 12:13:11,756 Info:Square Root: Total cpu/real time for sqrt: 567.84/128.183
PID14114 2020-03-29 12:13:11,756 Info:HTTP server: Shutting down HTTP server
PID14114 2020-03-29 12:13:12,150 Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 948345/19385.8

CADO-NFS

1888374767194536460490361397669740004986640784162236268973746893186579881665037497447213112587159909136420834083990040893183<124>

19328965945061677750276501928120089964340052229<47>
97696626532522495597797060669911184335490366183731725792923824238251541727027<77>

N=1888374767194536460490361397669740004986640784162236268973746893186579881665037497447213112587159909136420834083990040893183
  ( 124 digits)
Divisors found:
 r1=19328965945061677750276501928120089964340052229 (pp47)
 r2=97696626532522495597797060669911184335490366183731725792923824238251541727027 (pp77)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 56.02 hours.
Scaled time: 107.66 units (timescale=1.922).
Factorization parameters were as follows:
n: 1888374767194536460490361397669740004986640784162236268973746893186579881665037497447213112587159909136420834083990040893183
skew: 163740.39
c0: -217816893058380654200826395303
c1: -978862889695891756648194
c2: 392644453378437443326
c3: -73115381452974
c4: -5900460071
c5: 14820
Y0: -662290536196283613607080
Y1: 10575875346119
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
type: gnfs
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2700000, 5500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 816176 x 816412
Total sieving time: 55.11 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.66 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
gnfs,123,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5400000,5400000,27,27,54,54,2.5,2.5,100000
total time: 56.02 hours.
 --------- CPU info (if available) ----------

6602723308407827112497517320211793415574039789565706646002560536240299983879973998245217044835817620861125041200696369254746690964832190511528776929197637016134119562680461041852293112646490694729<196>

47134865756168164373103949243298104993031195006372393591613772491403201181560823122197497786768931168664592813211211372000919083604022446897807421995597377189708825085452777<173>

26731548443751420798451590470625448721<38>

1763267318963936781191290476249363326087759286555993990315646496000045904737506852805469824520708563467346670774491932459173912282018137<136>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3754314946
Step 1 took 20813ms
Step 2 took 8303ms
********** Factor found in step 2: 26731548443751420798451590470625448721
Found probable prime factor of 38 digits: 26731548443751420798451590470625448721

1763267318963936781191290476249363326087759286555993990315646496000045904737506852805469824520708563467346670774491932459173912282018137<136>

3931471937130866328298697077815803299642256903<46>
448500548181642320396602659414841444184317684897982878267920157078559117556049819964427679<90>

Number: 34447_214
N = 1763267318963936781191290476249363326087759286555993990315646496000045904737506852805469824520708563467346670774491932459173912282018137 (136 digits)
Divisors found:
r1=3931471937130866328298697077815803299642256903 (pp46)
r2=448500548181642320396602659414841444184317684897982878267920157078559117556049819964427679 (pp90)
Version: Msieve v. 1.51 (SVN 845)
Total time: 147.23 hours.
Factorization parameters were as follows:
# Murphy_E = 3.731e-11, selected by Dmitry Domanov
n: 1763267318963936781191290476249363326087759286555993990315646496000045904737506852805469824520708563467346670774491932459173912282018137
Y0: -147565136220818750509776196
Y1: 161274752385539
c0: 1247377081755087417762431295711975
c1: -30832172939645146351362706111
c2: 20476453526220656680343
c3: -61714679493538201
c4: -63601256262
c5: 25200
skew: 1096738.94
type: gnfs
# selected mechanically
rlim: 13600000
alim: 13600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 13600000/13600000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 22021943
Relations: 3511360 relations
Pruned matrix : 2078867 x 2079097
Polynomial selection time: 0.00 hours.
Total sieving time: 141.98 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 3.16 hours.
time per square root: 1.93 hours.
Prototype def-par.txt line would be: gnfs,135,5,65,2000,1e-05,0.28,250,20,50000,3600,13600000,13600000,28,28,55,55,2.6,2.6,100000
total time: 147.23 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz

GGNFS, Msieve

2400916917826032242082905901546642134682569012000291530732955145598164356872374836232248279910498005800594320898098827588217443399101299996852403504798128996981718562347045758621407206339416681306494702381<205>

13485622136541652592957212203706337307950615130233925846071263965132414818482892435418973101473290119416741825943138731859835992106761132673657337988554260137003094997828029842302426532143437503286454271301493<209>

54286831035553577155936183696703<32>
248414244841619831747906953611447629354689971402369552733034188096514438534998278225441627321660856842693258259121844311029307832998434642267164009231115216498002930881299257931<177>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2479783411
Step 1 took 26666ms
********** Factor found in step 1: 54286831035553577155936183696703
Found probable prime factor of 32 digits: 54286831035553577155936183696703

372274723992319612468878933204582521292524821146446458162987929895205170998713426061244531034500965662779508657449444888865159343824552410805370122830117962825466621256897001678869835663137256844265483927<204>

10333726172435310212769803362670715252159925299614009406878104084479035060072671839020952883272773801<101>
36025216633409885921555365225312893642418571569841196121057553754726592356551331829690664068887124651327<104>

Number: 34447_219
N = 372274723992319612468878933204582521292524821146446458162987929895205170998713426061244531034500965662779508657449444888865159343824552410805370122830117962825466621256897001678869835663137256844265483927 (204 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=10333726172435310212769803362670715252159925299614009406878104084479035060072671839020952883272773801 (pp101)
r2=36025216633409885921555365225312893642418571569841196121057553754726592356551331829690664068887124651327 (pp104)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 72.11 hours.
Factorization parameters were as follows:
n: 372274723992319612468878933204582521292524821146446458162987929895205170998713426061244531034500965662779508657449444888865159343824552410805370122830117962825466621256897001678869835663137256844265483927
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 31
c0: 230
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 8119524 relations
Pruned matrix : 6902461 x 6902686
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 36.21 hours.
Total relation processing time: 0.36 hours.
Matrix solve time: 35.33 hours.
time per square root: 0.21 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 72.11 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

6999480683691210006999480683691210006999480683691210006999480683691210006999480683691210006999480683691210006999480683691210006999480683691210006999480683691210006999480683691210006999480683691210006999480683691210007<217>

244497875216322590894844740478798341<36>
390133995007853022135104335479808632197491<42>
73379869507216777800423378009008523582830599116744923177980808709591595551331109784610161131079828368809275312218278834766216227639072928297<140>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2974698660
Step 1 took 30519ms
Step 2 took 11065ms
********** Factor found in step 2: 390133995007853022135104335479808632197491
Found probable prime factor of 42 digits: 390133995007853022135104335479808632197491

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1939751439
Step 1 took 22805ms
Step 2 took 8909ms
********** Factor found in step 2: 244497875216322590894844740478798341
Found probable prime factor of 36 digits: 244497875216322590894844740478798341

344444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444447<222>

906617084707461973595688247819572099544453<42>
379922737233201701885828899372556367072871746560217528424821178423478943543326006594530542083263572184514840965934122073252000002724088229672375673283184129244349092550879535401299<180>

N=344444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444447
  ( 222 digits)
SNFS difficulty: 223 digits.
Divisors found:
 r1=906617084707461973595688247819572099544453 (pp42)
 r2=379922737233201701885828899372556367072871746560217528424821178423478943543326006594530542083263572184514840965934122073252000002724088229672375673283184129244349092550879535401299 (pp180)
Version: Msieve v. 1.52 (SVN Unversioned directory)
Total time:
Scaled time: 127.95 units (timescale=1.712).
Factorization parameters were as follows:
n: 344444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444447
m: 10000000000000000000000000000000000000
deg: 6
c6: 31
c0: 230
skew: 1.40
# Murphy_E = 1.912e-12
type: snfs
lss: 1
rlim: 37000000
alim: 37000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
qintsize: 320000
Factor base limits: 37000000/37000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved rational special-q in [18500000, 59460001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 6422456 x 6422683
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,223.000,6,0,0,0,0,0,0,0,0,37000000,37000000,29,29,58,58,2.6,2.6,100000
total time:

429194092160845716296743983900187137574002220469397563303440985538837568350252201183349299827280805469370141311944308233522218637932397401457649743658342266742058417021244745154844717<183>

19767926061709006500997367287691<32>
21711639896924036884301609708841510566636074952473051614577933658128330522010292488859022281701926965316552998950151858469465098860888625075472139611687<152>

Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=2065297201
Step 1 took 5237ms
Step 2 took 3744ms
********** Factor found in step 2: 19767926061709006500997367287691
Found probable prime factor of 32 digits: 19767926061709006500997367287691
Probable prime cofactor 

3192499425867949671312716244603154808573766466566158075219345112114085375448963581203056300786705128542961090265427155848891697688278168217881772038648942958564733021<166>

86514882462083167344933997613346126982523990789652977337649023692736833382593862424947353590339322331002622444162743946973191897910309654051573685276064611<155>

118846855299160006591782219879556680113743638731355794577011113466868016404263108498586767599153233233211602467297967766065228428606196238229210617522213152419960371533911941338345185096997545894190474005436745487<213>

115368758716882237019888892648338657<36>

1030147646736956786327008845559640484827678393882474674254120811191013229099154166279852099483696185741411757420399013323133612086310280752638537211890432239687647660606891166191<178>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=939677620
Step 1 took 31432ms
Step 2 took 11269ms
********** Factor found in step 2: 115368758716882237019888892648338657
Found probable prime factor of 36 digits: 115368758716882237019888892648338657

30385944287772434083755820912930090477520006388698213781842507265037304057670811011278220165160202514950890412414249951901888200956438650219366664505283195364887672039881709265950907457744212258829<197>

35205068581973473610088194920614911<35>

863112770736977323285654390620151703536743048679628780119547196418571693340251774403496118243149891836219016133560502626881256349896690499080380291505556974564339<162>

Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3086051470
Step 1 took 6080ms
Step 2 took 4180ms
********** Factor found in step 2: 35205068581973473610088194920614911
Found probable prime factor of 35 digits: 35205068581973473610088194920614911
Composite cofactor 

28952664215440814776051786131324744139006630714710193309507475153385563576097570252976746038231590025197286294759882621051258159742659690452874264836926301069273566474739541748714341556183209159407652543<203>

329986653907441539080453515473707<33>
15710345281228721569859652746932122571987<41>

5584784607530754485989876386923731808694312513240670093212186820491712155650460287748405934134085140243577620669180936247819297327<130>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2366659698
Step 1 took 26668ms
Step 2 took 10318ms
********** Factor found in step 2: 329986653907441539080453515473707
Found probable prime factor of 33 digits: 329986653907441539080453515473707

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1148483339
Step 1 took 19431ms
Step 2 took 8221ms
********** Factor found in step 2: 15710345281228721569859652746932122571987
Found probable prime factor of 41 digits: 15710345281228721569859652746932122571987

5584784607530754485989876386923731808694312513240670093212186820491712155650460287748405934134085140243577620669180936247819297327<130>

22542323497800908742429246477786865767371891630979481224805723<62>
247746626831771442156274122987922340816291626231462699732024172700349<69>

Number: 34447_228
N = 5584784607530754485989876386923731808694312513240670093212186820491712155650460287748405934134085140243577620669180936247819297327 (130 digits)
Divisors found:
r1=22542323497800908742429246477786865767371891630979481224805723 (pp62)
r2=247746626831771442156274122987922340816291626231462699732024172700349 (pp69)
Version: Msieve v. 1.51 (SVN 845)
Total time: 79.85 hours.
Factorization parameters were as follows:
# Murphy_E = 8.038e-11, selected by Erik Branger
n: 5584784607530754485989876386923731808694312513240670093212186820491712155650460287748405934134085140243577620669180936247819297327
Y0: -16177647895055955273660437
Y1: 17876403392341
c0: 6473043690020675823741099828480
c1: 53123098161643137959805328
c2: 1509617141072390946438
c3: -13806837854575365
c4: -10527951646
c5: 5040
skew: 465066.17
type: gnfs
# selected mechanically
rlim: 9600000
alim: 9600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9600000/9600000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 18337534
Relations: 1985634 relations
Pruned matrix : 1217979 x 1218205
Polynomial selection time: 0.00 hours.
Total sieving time: 77.60 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.98 hours.
time per square root: 0.16 hours.
Prototype def-par.txt line would be: gnfs,129,5,65,2000,1e-05,0.28,250,20,50000,3600,9600000,9600000,28,28,53,53,2.5,2.5,100000
total time: 79.85 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz

GGNFS, Msieve

250376248736260244820579764518106121491992815745357643014361922916393390675244788445129484738358447862555756755221203331850747905452352036093863860761977817040328966453965451443102787529926807836451240965078150949329<216>

3854980676770748709628945206359861<34>

64948768808355257516614141536833821731774981976971275793930334000140620318166910513093414742520824509056319285845359236554853556092164075571406935409772372932813156579310208864079789<182>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3684513029
Step 1 took 30452ms
Step 2 took 11067ms
********** Factor found in step 2: 3854980676770748709628945206359861
Found probable prime factor of 34 digits: 3854980676770748709628945206359861

32152421096760920682020648001167826250420822141427969003729778950026134430148621440373596667221758979004311151753045198927100138416452884397258836457510966418504037542244425681303<179>

5492466542264156755662338182489223<34>

5853912964120987452978961898078175616214576220134852913872333443312112295709398304809717762567161079160438174928432736774458450164690982123406961<145>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2895373745
Step 1 took 22916ms
Step 2 took 8897ms
********** Factor found in step 2: 5492466542264156755662338182489223
Found probable prime factor of 34 digits: 5492466542264156755662338182489223