78147246912777515997974283233922894218752096417792988789074105139850332446607301544655518272043<95>

64818012805041651210696411371692207<35>
1205640894111136574747224703848636622066787269446361488487749<61>

Sun Dec  7 16:27:13 2008
Sun Dec  7 16:27:13 2008
Sun Dec  7 16:27:13 2008  Msieve v. 1.39
Sun Dec  7 16:27:13 2008  random seeds: 246e521a 2bff3da1
Sun Dec  7 16:27:13 2008  factoring 78147246912777515997974283233922894218752096417792988789074105139850332446607301544655518272043 (95 digits)
Sun Dec  7 16:27:13 2008  searching for 15-digit factors
Sun Dec  7 16:27:14 2008  commencing quadratic sieve (95-digit input)
Sun Dec  7 16:27:14 2008  using multiplier of 3
Sun Dec  7 16:27:14 2008  using 64kb Opteron sieve core
Sun Dec  7 16:27:14 2008  sieve interval: 18 blocks of size 65536
Sun Dec  7 16:27:14 2008  processing polynomials in batches of 6
Sun Dec  7 16:27:14 2008  using a sieve bound of 2196599 (81146 primes)
Sun Dec  7 16:27:14 2008  using large prime bound of 329489850 (28 bits)
Sun Dec  7 16:27:14 2008  using double large prime bound of 2148402323041500 (43-51 bits)
Sun Dec  7 16:27:14 2008  using trial factoring cutoff of 51 bits
Sun Dec  7 16:27:14 2008  polynomial 'A' values have 12 factors
Sun Dec  7 16:27:26 2008
Sun Dec  7 16:27:26 2008
Sun Dec  7 16:27:26 2008  Msieve v. 1.39
Sun Dec  7 16:27:26 2008  random seeds: 666dd84d c9507886
Sun Dec  7 16:27:26 2008  factoring 78147246912777515997974283233922894218752096417792988789074105139850332446607301544655518272043 (95 digits)
Sun Dec  7 16:27:26 2008  searching for 15-digit factors
Sun Dec  7 16:27:27 2008  commencing quadratic sieve (95-digit input)
Sun Dec  7 16:27:27 2008  using multiplier of 3
Sun Dec  7 16:27:27 2008  using 64kb Opteron sieve core
Sun Dec  7 16:27:27 2008  sieve interval: 18 blocks of size 65536
Sun Dec  7 16:27:27 2008  processing polynomials in batches of 6
Sun Dec  7 16:27:27 2008  using a sieve bound of 2196599 (81146 primes)
Sun Dec  7 16:27:27 2008  using large prime bound of 329489850 (28 bits)
Sun Dec  7 16:27:27 2008  using double large prime bound of 2148402323041500 (43-51 bits)
Sun Dec  7 16:27:27 2008  using trial factoring cutoff of 51 bits
Sun Dec  7 16:27:27 2008  polynomial 'A' values have 12 factors
Sun Dec  7 17:49:22 2008  6019 relations (4845 full + 1174 combined from 298966 partial), need 81242
Sun Dec  7 17:49:22 2008  elapsed time 01:21:56
Sun Dec  7 17:49:42 2008  4760 relations (4760 full + 0 combined from 295056 partial), need 81242
Sun Dec  7 17:49:42 2008  elapsed time 01:22:29
Sun Dec  7 17:50:05 2008
Sun Dec  7 17:50:05 2008
Sun Dec  7 17:50:05 2008  Msieve v. 1.39
Sun Dec  7 17:50:05 2008  random seeds: 70f2f3d1 b7dd4591
Sun Dec  7 17:50:05 2008  factoring 78147246912777515997974283233922894218752096417792988789074105139850332446607301544655518272043 (95 digits)
Sun Dec  7 17:50:06 2008  searching for 15-digit factors
Sun Dec  7 17:50:06 2008  commencing quadratic sieve (95-digit input)
Sun Dec  7 17:50:07 2008  using multiplier of 3
Sun Dec  7 17:50:07 2008  using 64kb Opteron sieve core
Sun Dec  7 17:50:07 2008  sieve interval: 18 blocks of size 65536
Sun Dec  7 17:50:07 2008  processing polynomials in batches of 6
Sun Dec  7 17:50:07 2008  using a sieve bound of 2196599 (81146 primes)
Sun Dec  7 17:50:07 2008  using large prime bound of 329489850 (28 bits)
Sun Dec  7 17:50:07 2008  using double large prime bound of 2148402323041500 (43-51 bits)
Sun Dec  7 17:50:07 2008  using trial factoring cutoff of 51 bits
Sun Dec  7 17:50:07 2008  polynomial 'A' values have 12 factors
Sun Dec  7 17:50:07 2008  restarting with 9605 full and 594022 partial relations
Sun Dec  7 17:50:12 2008
Sun Dec  7 17:50:12 2008
Sun Dec  7 17:50:12 2008  Msieve v. 1.39
Sun Dec  7 17:50:12 2008  random seeds: a05eca4c 9a78ecf8
Sun Dec  7 17:50:12 2008  factoring 78147246912777515997974283233922894218752096417792988789074105139850332446607301544655518272043 (95 digits)
Sun Dec  7 17:50:13 2008  searching for 15-digit factors
Sun Dec  7 17:50:13 2008  commencing quadratic sieve (95-digit input)
Sun Dec  7 17:50:13 2008  using multiplier of 3
Sun Dec  7 17:50:13 2008  using 64kb Opteron sieve core
Sun Dec  7 17:50:13 2008  sieve interval: 18 blocks of size 65536
Sun Dec  7 17:50:13 2008  processing polynomials in batches of 6
Sun Dec  7 17:50:13 2008  using a sieve bound of 2196599 (81146 primes)
Sun Dec  7 17:50:13 2008  using large prime bound of 329489850 (28 bits)
Sun Dec  7 17:50:13 2008  using double large prime bound of 2148402323041500 (43-51 bits)
Sun Dec  7 17:50:13 2008  using trial factoring cutoff of 51 bits
Sun Dec  7 17:50:13 2008  polynomial 'A' values have 12 factors
Sun Dec  7 17:50:14 2008  restarting with 4760 full and 295056 partial relations
Sun Dec  7 17:53:50 2008  4992 relations (4992 full + 0 combined from 308433 partial), need 81242
Sun Dec  7 17:53:50 2008  elapsed time 00:03:38
Sun Dec  7 17:53:58 2008
Sun Dec  7 17:53:58 2008
Sun Dec  7 17:53:58 2008  Msieve v. 1.39
Sun Dec  7 17:53:58 2008  random seeds: 6485572e dc777515
Sun Dec  7 17:53:58 2008  factoring 78147246912777515997974283233922894218752096417792988789074105139850332446607301544655518272043 (95 digits)
Sun Dec  7 17:53:59 2008  searching for 15-digit factors
Sun Dec  7 17:54:00 2008  commencing quadratic sieve (95-digit input)
Sun Dec  7 17:54:00 2008  using multiplier of 3
Sun Dec  7 17:54:00 2008  using 64kb Opteron sieve core
Sun Dec  7 17:54:00 2008  sieve interval: 18 blocks of size 65536
Sun Dec  7 17:54:00 2008  processing polynomials in batches of 6
Sun Dec  7 17:54:00 2008  using a sieve bound of 2196599 (81146 primes)
Sun Dec  7 17:54:00 2008  using large prime bound of 329489850 (28 bits)
Sun Dec  7 17:54:00 2008  using double large prime bound of 2148402323041500 (43-51 bits)
Sun Dec  7 17:54:00 2008  using trial factoring cutoff of 51 bits
Sun Dec  7 17:54:00 2008  polynomial 'A' values have 12 factors
Sun Dec  7 18:45:27 2008  3104 relations (3104 full + 0 combined from 194276 partial), need 81242
Sun Dec  7 18:45:27 2008  elapsed time 00:51:29
Sun Dec  7 18:45:30 2008  28866 relations (12746 full + 16120 combined from 797473 partial), need 81242
Sun Dec  7 18:45:30 2008  elapsed time 00:55:25
Sun Dec  7 18:46:11 2008
Sun Dec  7 18:46:11 2008
Sun Dec  7 18:46:11 2008  Msieve v. 1.39
Sun Dec  7 18:46:11 2008  random seeds: edef846a 24c3dbe7
Sun Dec  7 18:46:11 2008  factoring 78147246912777515997974283233922894218752096417792988789074105139850332446607301544655518272043 (95 digits)
Sun Dec  7 18:46:11 2008  searching for 15-digit factors
Sun Dec  7 18:46:12 2008  commencing quadratic sieve (95-digit input)
Sun Dec  7 18:46:12 2008  using multiplier of 3
Sun Dec  7 18:46:12 2008  using 64kb Opteron sieve core
Sun Dec  7 18:46:12 2008  sieve interval: 18 blocks of size 65536
Sun Dec  7 18:46:12 2008  processing polynomials in batches of 6
Sun Dec  7 18:46:12 2008  using a sieve bound of 2196599 (81146 primes)
Sun Dec  7 18:46:12 2008  using large prime bound of 329489850 (28 bits)
Sun Dec  7 18:46:12 2008  using double large prime bound of 2148402323041500 (43-51 bits)
Sun Dec  7 18:46:12 2008  using trial factoring cutoff of 51 bits
Sun Dec  7 18:46:12 2008  polynomial 'A' values have 12 factors
Sun Dec  7 18:46:13 2008  restarting with 15850 full and 991749 partial relations
Sun Dec  7 18:49:30 2008
Sun Dec  7 18:49:30 2008
Sun Dec  7 18:49:30 2008  Msieve v. 1.39
Sun Dec  7 18:49:30 2008  random seeds: f2f6d37b b6eddc32
Sun Dec  7 18:49:30 2008  factoring 78147246912777515997974283233922894218752096417792988789074105139850332446607301544655518272043 (95 digits)
Sun Dec  7 18:49:30 2008  searching for 15-digit factors
Sun Dec  7 18:49:31 2008  commencing quadratic sieve (95-digit input)
Sun Dec  7 18:49:31 2008  using multiplier of 3
Sun Dec  7 18:49:31 2008  using 64kb Opteron sieve core
Sun Dec  7 18:49:31 2008  sieve interval: 18 blocks of size 65536
Sun Dec  7 18:49:31 2008  processing polynomials in batches of 6
Sun Dec  7 18:49:31 2008  using a sieve bound of 2196599 (81146 primes)
Sun Dec  7 18:49:31 2008  using large prime bound of 329489850 (28 bits)
Sun Dec  7 18:49:31 2008  using double large prime bound of 2148402323041500 (43-51 bits)
Sun Dec  7 18:49:31 2008  using trial factoring cutoff of 51 bits
Sun Dec  7 18:49:31 2008  polynomial 'A' values have 12 factors
Sun Dec  7 19:43:14 2008  79041 relations (19345 full + 59696 combined from 1210075 partial), need 81242
Sun Dec  7 19:43:14 2008  elapsed time 00:57:03
Sun Dec  7 19:43:18 2008  3309 relations (3309 full + 0 combined from 204475 partial), need 81242
Sun Dec  7 19:43:18 2008  elapsed time 00:53:48
Sun Dec  7 19:43:26 2008
Sun Dec  7 19:43:26 2008
Sun Dec  7 19:43:26 2008  Msieve v. 1.39
Sun Dec  7 19:43:26 2008  random seeds: 865ca451 35158040
Sun Dec  7 19:43:26 2008  factoring 78147246912777515997974283233922894218752096417792988789074105139850332446607301544655518272043 (95 digits)
Sun Dec  7 19:43:26 2008  searching for 15-digit factors
Sun Dec  7 19:43:27 2008  commencing quadratic sieve (95-digit input)
Sun Dec  7 19:43:27 2008  using multiplier of 3
Sun Dec  7 19:43:27 2008  using 64kb Opteron sieve core
Sun Dec  7 19:43:27 2008  sieve interval: 18 blocks of size 65536
Sun Dec  7 19:43:27 2008  processing polynomials in batches of 6
Sun Dec  7 19:43:27 2008  using a sieve bound of 2196599 (81146 primes)
Sun Dec  7 19:43:27 2008  using large prime bound of 329489850 (28 bits)
Sun Dec  7 19:43:27 2008  using double large prime bound of 2148402323041500 (43-51 bits)
Sun Dec  7 19:43:27 2008  using trial factoring cutoff of 51 bits
Sun Dec  7 19:43:27 2008  polynomial 'A' values have 12 factors
Sun Dec  7 19:43:28 2008  restarting with 22654 full and 1414550 partial relations
Sun Dec  7 19:43:28 2008  119699 relations (22654 full + 97045 combined from 1414550 partial), need 81242
Sun Dec  7 19:43:29 2008  begin with 1437204 relations
Sun Dec  7 19:43:31 2008  reduce to 316559 relations in 11 passes
Sun Dec  7 19:43:31 2008  attempting to read 316559 relations
Sun Dec  7 19:43:34 2008  recovered 316559 relations
Sun Dec  7 19:43:34 2008  recovered 292182 polynomials
Sun Dec  7 19:43:34 2008  attempting to build 119699 cycles
Sun Dec  7 19:43:34 2008  found 119699 cycles in 6 passes
Sun Dec  7 19:43:34 2008  distribution of cycle lengths:
Sun Dec  7 19:43:34 2008     length 1 : 22654
Sun Dec  7 19:43:34 2008     length 2 : 18504
Sun Dec  7 19:43:34 2008     length 3 : 20280
Sun Dec  7 19:43:34 2008     length 4 : 17688
Sun Dec  7 19:43:34 2008     length 5 : 14417
Sun Dec  7 19:43:34 2008     length 6 : 10278
Sun Dec  7 19:43:34 2008     length 7 : 6738
Sun Dec  7 19:43:34 2008     length 9+: 9140
Sun Dec  7 19:43:34 2008  largest cycle: 21 relations
Sun Dec  7 19:43:35 2008  matrix is 81146 x 119699 (37.0 MB) with weight 8736674 (72.99/col)
Sun Dec  7 19:43:35 2008  sparse part has weight 8736674 (72.99/col)
Sun Dec  7 19:43:38 2008  filtering completed in 4 passes
Sun Dec  7 19:43:38 2008  matrix is 74044 x 74108 (17.5 MB) with weight 4003119 (54.02/col)
Sun Dec  7 19:43:38 2008  sparse part has weight 4003119 (54.02/col)
Sun Dec  7 19:43:38 2008  saving the first 48 matrix rows for later
Sun Dec  7 19:43:38 2008  matrix is 73996 x 74108 (12.4 MB) with weight 3237909 (43.69/col)
Sun Dec  7 19:43:38 2008  sparse part has weight 2512684 (33.91/col)
Sun Dec  7 19:43:38 2008  matrix includes 64 packed rows
Sun Dec  7 19:43:38 2008  using block size 10922 for processor cache size 256 kB
Sun Dec  7 19:43:38 2008  commencing Lanczos iteration
Sun Dec  7 19:43:38 2008  memory use: 11.0 MB
Sun Dec  7 19:44:13 2008  lanczos halted after 1171 iterations (dim = 73996)
Sun Dec  7 19:44:13 2008  recovered 18 nontrivial dependencies
Sun Dec  7 19:44:15 2008  prp35 factor: 64818012805041651210696411371692207
Sun Dec  7 19:44:15 2008  prp61 factor: 1205640894111136574747224703848636622066787269446361488487749
Sun Dec  7 19:44:15 2008  elapsed time 00:00:49

msieve 1.39

Athlon 64x2 3600, 3 GB RAM, Ubuntu linux

3886202181846600488926048772833634100539737551849176875626859169440252679270183610486577<88>

13955405739252974791819323206909<32>
278472891040044154124888430675886431365951225649379875653<57>

Sun Nov 16 07:43:35 2008  Msieve v. 1.38
Sun Nov 16 07:43:35 2008  random seeds: 55ae4f0c d5804962
Sun Nov 16 07:43:35 2008  factoring 3886202181846600488926048772833634100539737551849176875626859169440252679270183610486577 (88 digits)
Sun Nov 16 07:43:37 2008  searching for 15-digit factors
Sun Nov 16 07:43:39 2008  commencing quadratic sieve (88-digit input)
Sun Nov 16 07:43:39 2008  using multiplier of 1
Sun Nov 16 07:43:39 2008  using 64kb Pentium 4 sieve core
Sun Nov 16 07:43:39 2008  sieve interval: 13 blocks of size 65536
Sun Nov 16 07:43:39 2008  processing polynomials in batches of 8
Sun Nov 16 07:43:39 2008  using a sieve bound of 1517707 (57413 primes)
Sun Nov 16 07:43:39 2008  using large prime bound of 121416560 (26 bits)
Sun Nov 16 07:43:39 2008  using double large prime bound of 356205104400640 (42-49 bits)
Sun Nov 16 07:43:39 2008  using trial factoring cutoff of 49 bits
Sun Nov 16 07:43:39 2008  polynomial 'A' values have 11 factors
Sun Nov 16 09:12:50 2008  57725 relations (15367 full + 42358 combined from 612926 partial), need 57509
Sun Nov 16 09:12:53 2008  begin with 628293 relations
Sun Nov 16 09:12:53 2008  reduce to 140381 relations in 11 passes
Sun Nov 16 09:12:53 2008  attempting to read 140381 relations
Sun Nov 16 09:12:57 2008  recovered 140381 relations
Sun Nov 16 09:12:57 2008  recovered 118548 polynomials
Sun Nov 16 09:12:57 2008  attempting to build 57725 cycles
Sun Nov 16 09:12:57 2008  found 57725 cycles in 6 passes
Sun Nov 16 09:12:57 2008  distribution of cycle lengths:
Sun Nov 16 09:12:57 2008     length 1 : 15367
Sun Nov 16 09:12:57 2008     length 2 : 11258
Sun Nov 16 09:12:57 2008     length 3 : 10201
Sun Nov 16 09:12:57 2008     length 4 : 7596
Sun Nov 16 09:12:57 2008     length 5 : 5450
Sun Nov 16 09:12:57 2008     length 6 : 3418
Sun Nov 16 09:12:57 2008     length 7 : 2045
Sun Nov 16 09:12:57 2008     length 9+: 2390
Sun Nov 16 09:12:57 2008  largest cycle: 20 relations
Sun Nov 16 09:12:58 2008  matrix is 57413 x 57725 (13.7 MB) with weight 3348390 (58.01/col)
Sun Nov 16 09:12:58 2008  sparse part has weight 3348390 (58.01/col)
Sun Nov 16 09:12:59 2008  filtering completed in 3 passes
Sun Nov 16 09:12:59 2008  matrix is 53477 x 53540 (12.7 MB) with weight 3122622 (58.32/col)
Sun Nov 16 09:12:59 2008  sparse part has weight 3122622 (58.32/col)
Sun Nov 16 09:12:59 2008  saving the first 48 matrix rows for later
Sun Nov 16 09:12:59 2008  matrix is 53429 x 53540 (8.5 MB) with weight 2501947 (46.73/col)
Sun Nov 16 09:12:59 2008  sparse part has weight 1919087 (35.84/col)
Sun Nov 16 09:12:59 2008  matrix includes 64 packed rows
Sun Nov 16 09:12:59 2008  using block size 21416 for processor cache size 512 kB
Sun Nov 16 09:13:00 2008  commencing Lanczos iteration
Sun Nov 16 09:13:00 2008  memory use: 8.2 MB
Sun Nov 16 09:13:30 2008  lanczos halted after 846 iterations (dim = 53429)
Sun Nov 16 09:13:30 2008  recovered 17 nontrivial dependencies
Sun Nov 16 09:13:31 2008  prp32 factor: 13955405739252974791819323206909
Sun Nov 16 09:13:31 2008  prp57 factor: 278472891040044154124888430675886431365951225649379875653
Sun Nov 16 09:13:31 2008  elapsed time 01:29:56

648334451151352559803264028616141292197630225799239883746926000447127207690587972278113123183545718757<102>

14751591942611498717745397159<29>
41209480987075384610005546822286843<35>
1066505413986600338073968613179955167561<40>

SNFS difficulty: 105 digits.
Divisors found:
 r1=14751591942611498717745397159 (pp29)
 r2=41209480987075384610005546822286843 (pp35)
 r3=1066505413986600338073968613179955167561 (pp40)
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.712).
Factorization parameters were as follows:
n: 648334451151352559803264028616141292197630225799239883746926000447127207690587972278113123183545718757
m: 100000000000000000000000000
deg: 4
c4: 29
c0: 61
skew: 1.20
type: snfs
lss: 1
rlim: 400000
alim: 400000
lpbr: 25
lpba: 25
Factor base limits: 400000/400000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [200000, 260001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 33864 x 34074
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,105,4,0,0,0,0,0,0,0,0,400000,400000,25,25,44,44,2.2,2.2,20000
total time: 0.20 hours.

Msieve-1.38

Opteron-2.6GHz; Linux x86_64

49302484215999017457519029556422881048788318162661963404252646628561929655487777139591<86>

650901737212776005468142288693299353882937<42>
75744895730524561665714325673543185447690943<44>

Sat Nov 15 19:25:48 2008  Msieve v. 1.38
Sat Nov 15 19:25:48 2008  random seeds: f6a352b0 53563743
Sat Nov 15 19:25:48 2008  factoring 49302484215999017457519029556422881048788318162661963404252646628561929655487777139591 (86 digits)
Sat Nov 15 19:25:49 2008  searching for 15-digit factors
Sat Nov 15 19:25:50 2008  commencing quadratic sieve (86-digit input)
Sat Nov 15 19:25:50 2008  using multiplier of 1
Sat Nov 15 19:25:50 2008  using 32kb Intel Core sieve core
Sat Nov 15 19:25:50 2008  sieve interval: 16 blocks of size 32768
Sat Nov 15 19:25:50 2008  processing polynomials in batches of 13
Sat Nov 15 19:25:50 2008  using a sieve bound of 1457683 (55667 primes)
Sat Nov 15 19:25:50 2008  using large prime bound of 116614640 (26 bits)
Sat Nov 15 19:25:50 2008  using double large prime bound of 331249715652000 (41-49 bits)
Sat Nov 15 19:25:50 2008  using trial factoring cutoff of 49 bits
Sat Nov 15 19:25:50 2008  polynomial 'A' values have 11 factors
Sat Nov 15 20:02:11 2008  55832 relations (16024 full + 39808 combined from 583767 partial), need 55763
Sat Nov 15 20:02:12 2008  begin with 599791 relations
Sat Nov 15 20:02:12 2008  reduce to 132574 relations in 9 passes
Sat Nov 15 20:02:12 2008  attempting to read 132574 relations
Sat Nov 15 20:02:14 2008  recovered 132574 relations
Sat Nov 15 20:02:14 2008  recovered 109344 polynomials
Sat Nov 15 20:02:14 2008  attempting to build 55832 cycles
Sat Nov 15 20:02:14 2008  found 55832 cycles in 5 passes
Sat Nov 15 20:02:14 2008  distribution of cycle lengths:
Sat Nov 15 20:02:14 2008     length 1 : 16024
Sat Nov 15 20:02:14 2008     length 2 : 11211
Sat Nov 15 20:02:14 2008     length 3 : 9906
Sat Nov 15 20:02:14 2008     length 4 : 7001
Sat Nov 15 20:02:14 2008     length 5 : 4890
Sat Nov 15 20:02:14 2008     length 6 : 3061
Sat Nov 15 20:02:14 2008     length 7 : 1767
Sat Nov 15 20:02:14 2008     length 9+: 1972
Sat Nov 15 20:02:14 2008  largest cycle: 16 relations
Sat Nov 15 20:02:14 2008  matrix is 55667 x 55832 (12.0 MB) with weight 2931997 (52.51/col)
Sat Nov 15 20:02:14 2008  sparse part has weight 2931997 (52.51/col)
Sat Nov 15 20:02:14 2008  filtering completed in 3 passes
Sat Nov 15 20:02:14 2008  matrix is 50974 x 51038 (11.1 MB) with weight 2709335 (53.08/col)
Sat Nov 15 20:02:14 2008  sparse part has weight 2709335 (53.08/col)
Sat Nov 15 20:02:15 2008  saving the first 48 matrix rows for later
Sat Nov 15 20:02:15 2008  matrix is 50926 x 51038 (6.1 MB) with weight 1988059 (38.95/col)
Sat Nov 15 20:02:15 2008  sparse part has weight 1294362 (25.36/col)
Sat Nov 15 20:02:15 2008  matrix includes 64 packed rows
Sat Nov 15 20:02:15 2008  using block size 20415 for processor cache size 2048 kB
Sat Nov 15 20:02:15 2008  commencing Lanczos iteration
Sat Nov 15 20:02:15 2008  memory use: 6.7 MB
Sat Nov 15 20:02:28 2008  lanczos halted after 807 iterations (dim = 50918)
Sat Nov 15 20:02:28 2008  recovered 13 nontrivial dependencies
Sat Nov 15 20:02:29 2008  prp42 factor: 650901737212776005468142288693299353882937
Sat Nov 15 20:02:29 2008  prp44 factor: 75744895730524561665714325673543185447690943
Sat Nov 15 20:02:29 2008  elapsed time 00:36:41

Msieve

1825709474543267205420856555959842362192321944249866230555968943131807164817224672711<85>

276993852075149363427098229130204721<36>
6591155221914261426440632501639332054792978851191<49>

GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 1825709474543267205420856555959842362192321944249866230555968943131807164817224672711 (85 digits)
Using B1=2950000, B2=4281751120, polynomial Dickson(6), sigma=4015980292
Step 1 took 15688ms
Step 2 took 7359ms
********** Factor found in step 2: 276993852075149363427098229130204721
Found probable prime factor of 36 digits: 276993852075149363427098229130204721
Probable prime cofactor 6591155221914261426440632501639332054792978851191 has 49 digits

11698841840489508014434081186604843067304024535141148500613325712108587327498587470710278150242319689<101>

21348808706404288248596941574025542992564873<44>
547985698001970931910634724148480216575854589619614950593<57>

Sat Nov 15 18:09:25 2008
Sat Nov 15 18:09:25 2008
Sat Nov 15 18:09:25 2008  Msieve v. 1.38
Sat Nov 15 18:09:25 2008  random seeds: 218a7e97 15c2ba48
Sat Nov 15 18:09:25 2008  factoring 11698841840489508014434081186604843067304024535141148500613325712108587327498587470710278150242319689 (101 digits)
Sat Nov 15 18:09:26 2008  no P-1/P+1/ECM available, skipping
Sat Nov 15 18:09:26 2008  commencing number field sieve (101-digit input)
Sat Nov 15 18:09:26 2008  R0: -20000000000000000000000
Sat Nov 15 18:09:26 2008  R1:  1
Sat Nov 15 18:09:26 2008  A0:  488
Sat Nov 15 18:09:26 2008  A1:  0
Sat Nov 15 18:09:26 2008  A2:  0
Sat Nov 15 18:09:26 2008  A3:  0
Sat Nov 15 18:09:26 2008  A4:  0
Sat Nov 15 18:09:26 2008  A5:  725
Sat Nov 15 18:09:26 2008  size score = 2.241186e-08, Murphy alpha = 0.280014, combined = 2.041464e-08
Sat Nov 15 18:09:26 2008  generating factor base
Sat Nov 15 18:09:26 2008  factor base complete:
Sat Nov 15 18:09:26 2008  46072 rational roots (max prime = 559991)
Sat Nov 15 18:09:26 2008  46427 algebraic roots (max prime = 559973)
Sat Nov 15 18:09:26 2008  a range: [-2000000, 2000000]
Sat Nov 15 18:09:26 2008  b range: [1, 200]
Sat Nov 15 18:09:26 2008  number of hash buckets: 9
Sat Nov 15 18:09:26 2008  sieve block size: 65536
Sat Nov 15 18:09:26 2008
Sat Nov 15 18:09:26 2008  maximum RFB prime: 559991
Sat Nov 15 18:09:26 2008  RFB entries: 46072
Sat Nov 15 18:09:26 2008  medium RFB entries: 6542
Sat Nov 15 18:09:26 2008  resieved RFB entries: 6374
Sat Nov 15 18:09:26 2008  small RFB prime powers: 28
Sat Nov 15 18:09:26 2008  projective RFB roots: 0
Sat Nov 15 18:09:26 2008  RFB trial factoring cutoff: 52 or 77 bits
Sat Nov 15 18:09:26 2008  single large prime RFB range: 19 - 25 bits
Sat Nov 15 18:09:26 2008  double large prime RFB range: 39 - 48 bits
Sat Nov 15 18:09:26 2008  triple large prime RFB range: 60 - 73 bits
Sat Nov 15 18:09:26 2008
Sat Nov 15 18:09:26 2008  maximum AFB prime: 559973
Sat Nov 15 18:09:26 2008  AFB entries: 46427
Sat Nov 15 18:09:26 2008  medium AFB entries: 6538
Sat Nov 15 18:09:26 2008  resieved AFB entries: 6349
Sat Nov 15 18:09:26 2008  small AFB prime powers: 18
Sat Nov 15 18:09:26 2008  projective AFB roots: 2
Sat Nov 15 18:09:26 2008  AFB trial factoring cutoff: 52 or 77 bits
Sat Nov 15 18:09:26 2008  single large prime AFB range: 19 - 25 bits
Sat Nov 15 18:09:26 2008  double large prime AFB range: 39 - 48 bits
Sat Nov 15 18:09:26 2008  triple large prime AFB range: 60 - 73 bits
Sat Nov 15 18:09:26 2008
Sat Nov 15 18:09:26 2008  multiplying 518093 primes from 559973 to 8388608
Sat Nov 15 18:09:28 2008  multiply complete, product has 11290805 bits
Sat Nov 15 18:10:25 2008  completed b = 200, found 22538 relations
Sat Nov 15 18:10:25 2008  elapsed time 00:01:00
-> makeJobFile(): Adjusted to q0=280000, q1=330000.
->               client 1 q0: 280000
-> makeJobFile(): Adjusted to q0=330001, q1=380000.
->               client 1 q0: 330001
-> makeJobFile(): Adjusted to q0=380001, q1=430000.
->               client 1 q0: 380001
...
Sat Nov 15 18:32:28 2008
Sat Nov 15 18:32:28 2008
Sat Nov 15 18:32:28 2008  Msieve v. 1.38
Sat Nov 15 18:32:28 2008  random seeds: f76655f8 ef663562
Sat Nov 15 18:32:28 2008  factoring 11698841840489508014434081186604843067304024535141148500613325712108587327498587470710278150242319689 (101 digits)
Sat Nov 15 18:32:29 2008  no P-1/P+1/ECM available, skipping
Sat Nov 15 18:32:29 2008  commencing number field sieve (101-digit input)
Sat Nov 15 18:32:29 2008  R0: -20000000000000000000000
Sat Nov 15 18:32:29 2008  R1:  1
Sat Nov 15 18:32:29 2008  A0:  488
Sat Nov 15 18:32:29 2008  A1:  0
Sat Nov 15 18:32:29 2008  A2:  0
Sat Nov 15 18:32:29 2008  A3:  0
Sat Nov 15 18:32:29 2008  A4:  0
Sat Nov 15 18:32:29 2008  A5:  725
Sat Nov 15 18:32:29 2008  size score = 2.241186e-08, Murphy alpha = 0.280014, combined = 2.041464e-08
Sat Nov 15 18:32:29 2008
Sat Nov 15 18:32:29 2008  commencing relation filtering
Sat Nov 15 18:32:29 2008  commencing duplicate removal, pass 1
Sat Nov 15 18:32:29 2008  error -9 reading relation 59
Sat Nov 15 18:32:44 2008  found 63675 hash collisions in 1248000 relations
Sat Nov 15 18:32:48 2008  added 7620 free relations
Sat Nov 15 18:32:48 2008  commencing duplicate removal, pass 2
Sat Nov 15 18:32:49 2008  found 63659 duplicates and 1191961 unique relations
Sat Nov 15 18:32:49 2008  memory use: 36.9 MB
Sat Nov 15 18:32:49 2008  reading rational ideals above 458752
Sat Nov 15 18:32:49 2008  reading algebraic ideals above 458752
Sat Nov 15 18:32:49 2008  commencing singleton removal, pass 1
Sat Nov 15 18:33:04 2008  relations with 0 large ideals: 17696
Sat Nov 15 18:33:04 2008  relations with 1 large ideals: 173887
Sat Nov 15 18:33:04 2008  relations with 2 large ideals: 515230
Sat Nov 15 18:33:04 2008  relations with 3 large ideals: 324501
Sat Nov 15 18:33:04 2008  relations with 4 large ideals: 79115
Sat Nov 15 18:33:04 2008  relations with 5 large ideals: 9087
Sat Nov 15 18:33:04 2008  relations with 6 large ideals: 72432
Sat Nov 15 18:33:04 2008  relations with 7+ large ideals: 13
Sat Nov 15 18:33:04 2008  1191961 relations and about 1443170 large ideals
Sat Nov 15 18:33:04 2008  commencing singleton removal, pass 2
Sat Nov 15 18:33:19 2008  found 685993 singletons
Sat Nov 15 18:33:19 2008  current dataset: 505968 relations and about 411140 large ideals
Sat Nov 15 18:33:19 2008  commencing singleton removal, pass 3
Sat Nov 15 18:33:25 2008  found 143942 singletons
Sat Nov 15 18:33:25 2008  current dataset: 362026 relations and about 255076 large ideals
Sat Nov 15 18:33:25 2008  commencing singleton removal, final pass
Sat Nov 15 18:33:29 2008  memory use: 11.7 MB
Sat Nov 15 18:33:29 2008  commencing in-memory singleton removal
Sat Nov 15 18:33:29 2008  begin with 362026 relations and 257434 unique ideals
Sat Nov 15 18:33:30 2008  reduce to 320101 relations and 214542 ideals in 9 passes
Sat Nov 15 18:33:30 2008  max relations containing the same ideal: 41
Sat Nov 15 18:33:30 2008  reading rational ideals above 229376
Sat Nov 15 18:33:30 2008  reading algebraic ideals above 229376
Sat Nov 15 18:33:30 2008  commencing singleton removal, final pass
Sat Nov 15 18:33:34 2008  keeping 285136 ideals with weight <= 20, new excess is 52070
Sat Nov 15 18:33:34 2008  memory use: 11.7 MB
Sat Nov 15 18:33:34 2008  commencing in-memory singleton removal
Sat Nov 15 18:33:34 2008  begin with 327721 relations and 285136 unique ideals
Sat Nov 15 18:33:34 2008  reduce to 320027 relations and 239459 ideals in 4 passes
Sat Nov 15 18:33:34 2008  max relations containing the same ideal: 20
Sat Nov 15 18:33:35 2008  removing 51059 relations and 40976 ideals in 10083 cliques
Sat Nov 15 18:33:35 2008  commencing in-memory singleton removal
Sat Nov 15 18:33:35 2008  begin with 268968 relations and 239459 unique ideals
Sat Nov 15 18:33:35 2008  reduce to 265294 relations and 194677 ideals in 6 passes
Sat Nov 15 18:33:35 2008  max relations containing the same ideal: 20
Sat Nov 15 18:33:35 2008  removing 38841 relations and 28758 ideals in 10083 cliques
Sat Nov 15 18:33:35 2008  commencing in-memory singleton removal
Sat Nov 15 18:33:35 2008  begin with 226453 relations and 194677 unique ideals
Sat Nov 15 18:33:35 2008  reduce to 223585 relations and 162960 ideals in 6 passes
Sat Nov 15 18:33:35 2008  max relations containing the same ideal: 20
Sat Nov 15 18:33:35 2008  relations with 0 large ideals: 5758
Sat Nov 15 18:33:35 2008  relations with 1 large ideals: 30159
Sat Nov 15 18:33:35 2008  relations with 2 large ideals: 65781
Sat Nov 15 18:33:35 2008  relations with 3 large ideals: 67806
Sat Nov 15 18:33:35 2008  relations with 4 large ideals: 37624
Sat Nov 15 18:33:35 2008  relations with 5 large ideals: 12603
Sat Nov 15 18:33:35 2008  relations with 6 large ideals: 3578
Sat Nov 15 18:33:35 2008  relations with 7+ large ideals: 276
Sat Nov 15 18:33:35 2008  commencing 2-way merge
Sat Nov 15 18:33:36 2008  reduce to 148691 relation sets and 88066 unique ideals
Sat Nov 15 18:33:36 2008  commencing full merge
Sat Nov 15 18:33:38 2008  memory use: 8.5 MB
Sat Nov 15 18:33:38 2008  found 71214 cycles, need 64266
Sat Nov 15 18:33:38 2008  weight of 64266 cycles is about 4962297 (77.21/cycle)
Sat Nov 15 18:33:38 2008  distribution of cycle lengths:
Sat Nov 15 18:33:38 2008  1 relations: 6680
Sat Nov 15 18:33:38 2008  2 relations: 4853
Sat Nov 15 18:33:38 2008  3 relations: 4936
Sat Nov 15 18:33:38 2008  4 relations: 4889
Sat Nov 15 18:33:38 2008  5 relations: 4903
Sat Nov 15 18:33:38 2008  6 relations: 4875
Sat Nov 15 18:33:38 2008  7 relations: 4593
Sat Nov 15 18:33:38 2008  8 relations: 4278
Sat Nov 15 18:33:38 2008  9 relations: 3838
Sat Nov 15 18:33:38 2008  10+ relations: 20421
Sat Nov 15 18:33:38 2008  heaviest cycle: 21 relations
Sat Nov 15 18:33:38 2008  commencing cycle optimization
Sat Nov 15 18:33:38 2008  start with 472140 relations
Sat Nov 15 18:33:39 2008  pruned 29547 relations
Sat Nov 15 18:33:39 2008  memory use: 12.9 MB
Sat Nov 15 18:33:39 2008  distribution of cycle lengths:
Sat Nov 15 18:33:39 2008  1 relations: 6680
Sat Nov 15 18:33:39 2008  2 relations: 5031
Sat Nov 15 18:33:39 2008  3 relations: 5275
Sat Nov 15 18:33:39 2008  4 relations: 5267
Sat Nov 15 18:33:39 2008  5 relations: 5379
Sat Nov 15 18:33:39 2008  6 relations: 5261
Sat Nov 15 18:33:39 2008  7 relations: 4932
Sat Nov 15 18:33:39 2008  8 relations: 4655
Sat Nov 15 18:33:39 2008  9 relations: 4114
Sat Nov 15 18:33:39 2008  10+ relations: 17672
Sat Nov 15 18:33:39 2008  heaviest cycle: 21 relations
Sat Nov 15 18:33:39 2008  elapsed time 00:01:11
Sat Nov 15 18:33:39 2008
Sat Nov 15 18:33:39 2008
Sat Nov 15 18:33:39 2008  Msieve v. 1.38
Sat Nov 15 18:33:39 2008  random seeds: bb1f69ce 1efc98ad
Sat Nov 15 18:33:39 2008  factoring 11698841840489508014434081186604843067304024535141148500613325712108587327498587470710278150242319689 (101 digits)
Sat Nov 15 18:33:40 2008  no P-1/P+1/ECM available, skipping
Sat Nov 15 18:33:40 2008  commencing number field sieve (101-digit input)
Sat Nov 15 18:33:40 2008  R0: -20000000000000000000000
Sat Nov 15 18:33:40 2008  R1:  1
Sat Nov 15 18:33:40 2008  A0:  488
Sat Nov 15 18:33:40 2008  A1:  0
Sat Nov 15 18:33:40 2008  A2:  0
Sat Nov 15 18:33:40 2008  A3:  0
Sat Nov 15 18:33:40 2008  A4:  0
Sat Nov 15 18:33:40 2008  A5:  725
Sat Nov 15 18:33:40 2008  size score = 2.241186e-08, Murphy alpha = 0.280014, combined = 2.041464e-08
Sat Nov 15 18:33:40 2008
Sat Nov 15 18:33:40 2008  commencing linear algebra
Sat Nov 15 18:33:40 2008  read 64266 cycles
Sat Nov 15 18:33:40 2008  cycles contain 194789 unique relations
Sat Nov 15 18:33:43 2008  read 194789 relations
Sat Nov 15 18:33:43 2008  using 32 quadratic characters above 33549128
Sat Nov 15 18:33:46 2008  building initial matrix
Sat Nov 15 18:33:49 2008  memory use: 30.8 MB
Sat Nov 15 18:33:49 2008  read 64266 cycles
Sat Nov 15 18:33:49 2008  matrix is 64090 x 64266 (19.8 MB) with weight 6291711 (97.90/col)
Sat Nov 15 18:33:49 2008  sparse part has weight 4485523 (69.80/col)
Sat Nov 15 18:33:50 2008  filtering completed in 2 passes
Sat Nov 15 18:33:50 2008  matrix is 63969 x 64145 (19.8 MB) with weight 6283910 (97.96/col)
Sat Nov 15 18:33:50 2008  sparse part has weight 4481088 (69.86/col)
Sat Nov 15 18:33:50 2008  read 64145 cycles
Sat Nov 15 18:33:50 2008  matrix is 63969 x 64145 (19.8 MB) with weight 6283910 (97.96/col)
Sat Nov 15 18:33:50 2008  sparse part has weight 4481088 (69.86/col)
Sat Nov 15 18:33:50 2008  saving the first 48 matrix rows for later
Sat Nov 15 18:33:50 2008  matrix is 63921 x 64145 (18.7 MB) with weight 4867505 (75.88/col)
Sat Nov 15 18:33:50 2008  sparse part has weight 4263391 (66.46/col)
Sat Nov 15 18:33:50 2008  matrix includes 64 packed rows
Sat Nov 15 18:33:50 2008  using block size 10922 for processor cache size 256 kB
Sat Nov 15 18:33:51 2008  commencing Lanczos iteration
Sat Nov 15 18:33:51 2008  memory use: 16.6 MB
Sat Nov 15 18:34:31 2008  lanczos halted after 1012 iterations (dim = 63917)
Sat Nov 15 18:34:32 2008  recovered 47 nontrivial dependencies
Sat Nov 15 18:34:32 2008  elapsed time 00:00:53
Sat Nov 15 18:34:32 2008
Sat Nov 15 18:34:32 2008
Sat Nov 15 18:34:32 2008  Msieve v. 1.38
Sat Nov 15 18:34:32 2008  random seeds: cb8bea23 c471f78a
Sat Nov 15 18:34:32 2008  factoring 11698841840489508014434081186604843067304024535141148500613325712108587327498587470710278150242319689 (101 digits)
Sat Nov 15 18:34:32 2008  no P-1/P+1/ECM available, skipping
Sat Nov 15 18:34:32 2008  commencing number field sieve (101-digit input)
Sat Nov 15 18:34:32 2008  R0: -20000000000000000000000
Sat Nov 15 18:34:32 2008  R1:  1
Sat Nov 15 18:34:32 2008  A0:  488
Sat Nov 15 18:34:32 2008  A1:  0
Sat Nov 15 18:34:32 2008  A2:  0
Sat Nov 15 18:34:32 2008  A3:  0
Sat Nov 15 18:34:32 2008  A4:  0
Sat Nov 15 18:34:32 2008  A5:  725
Sat Nov 15 18:34:32 2008  size score = 2.241186e-08, Murphy alpha = 0.280014, combined = 2.041464e-08
Sat Nov 15 18:34:32 2008
Sat Nov 15 18:34:32 2008  commencing square root phase
Sat Nov 15 18:34:32 2008  reading relations for dependency 1
Sat Nov 15 18:34:32 2008  read 32049 cycles
Sat Nov 15 18:34:33 2008  cycles contain 123676 unique relations
Sat Nov 15 18:34:34 2008  read 123676 relations
Sat Nov 15 18:34:35 2008  multiplying 97168 relations
Sat Nov 15 18:34:44 2008  multiply complete, coefficients have about 2.74 million bits
Sat Nov 15 18:34:44 2008  initial square root is modulo 2061551
Sat Nov 15 18:35:00 2008  prp44 factor: 21348808706404288248596941574025542992564873
Sat Nov 15 18:35:00 2008  prp57 factor: 547985698001970931910634724148480216575854589619614950593
Sat Nov 15 18:35:00 2008  elapsed time 00:00:28

ggnfs/msieve

Athlon 64x2 2800, 3GB RAM, Linux

2437761104113242789158014351988528630173349071448713576584407698125610142992752078271723965821183233<100>

13627837353418736230548561825683197<35>
178880994899876454053601851276075491188480810887295136045474447189<66>

Number: 32229_114
N=2437761104113242789158014351988528630173349071448713576584407698125610142992752078271723965821183233
  ( 100 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=13627837353418736230548561825683197
 r2=178880994899876454053601851276075491188480810887295136045474447189
Version:
Total time: 0.38 hours.
Scaled time: 0.00 units (timescale=2.093).
Factorization parameters were as follows:
n: 2437761104113242789158014351988528630173349071448713576584407698125610142992752078271723965821183233
m: 50000000000000000000000
deg: 5
c5: 464
c0: 305
skew: 0.92
type: snfs
lss: 1
rlim: 600000
alim: 600000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2

Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [300000, 450001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 60867 x 61101
Total sieving time: 0.00 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,116,5,0,0,0,0,0,0,0,0,600000,600000,25,25,45,45,2.2,2.2,50000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[   26.316871] Memory: 3054544k/3111872k available (2523k kernel code, 56940k reserved, 1328k data, 328k init)
[   26.463157] Calibrating delay using timer specific routine.. 3982.78 BogoMIPS (lpj=19913938)
[   27.245296] Calibrating delay using timer specific routine.. 3979.63 BogoMIPS (lpj=19898169)

GGNFS, msieve

Athlon 64 x2 2600, 3 GB RAM, Ubuntu linux.

35502863899299788486411859804062433981468144340963035042836030019285950199708977711430221600636122294583633<107>

1063452127633539612140587509270470321829037<43>
33384543579129404191599943967015786740223790494495006249744297909<65>

Number: 32229_115
N=35502863899299788486411859804062433981468144340963035042836030019285950199708977711430221600636122294583633
  ( 107 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=1063452127633539612140587509270470321829037 (pp43)
 r2=33384543579129404191599943967015786740223790494495006249744297909 (pp65)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.85 hours.
Scaled time: 2.01 units (timescale=2.375).
Factorization parameters were as follows:
n: 35502863899299788486411859804062433981468144340963035042836030019285950199708977711430221600636122294583633
m: 100000000000000000000000
deg: 5
c5: 29
c0: 61
skew: 1.16
type: snfs
rlim: 500000
alim: 500000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 500000/500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [250000, 450001)
Primes: RFBsize:41538, AFBsize:41313, largePrimes:1204513 encountered
Relations: rels:1160406, finalFF:127665
Max relations in full relation-set: 28
Initial matrix: 82916 x 127665 with sparse part having weight 5990211.
Pruned matrix : 68199 x 68677 with weight 2335623.
Total sieving time: 0.82 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,116,5,0,0,0,0,0,0,0,0,500000,500000,25,25,45,45,2.2,2.2,25000
total time: 0.85 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

1474055775855945699490365633699736543007749056604429799681281685914133078598069961<82>

2178729077434916503736133330125321<34>
676566807283536166402708627290220286482051675841<48>

Sun Nov 16 04:52:04 2008  
Sun Nov 16 04:52:04 2008  
Sun Nov 16 04:52:04 2008  Msieve v. 1.38
Sun Nov 16 04:52:04 2008  random seeds: b5630310 0b7d1da0
Sun Nov 16 04:52:04 2008  factoring 1474055775855945699490365633699736543007749056604429799681281685914133078598069961 (82 digits)
Sun Nov 16 04:52:04 2008  searching for 15-digit factors
Sun Nov 16 04:52:05 2008  commencing quadratic sieve (82-digit input)
Sun Nov 16 04:52:05 2008  using multiplier of 1
Sun Nov 16 04:52:05 2008  using 64kb Opteron sieve core
Sun Nov 16 04:52:05 2008  sieve interval: 6 blocks of size 65536
Sun Nov 16 04:52:05 2008  processing polynomials in batches of 17
Sun Nov 16 04:52:05 2008  using a sieve bound of 1325183 (51176 primes)
Sun Nov 16 04:52:05 2008  using large prime bound of 125892385 (26 bits)
Sun Nov 16 04:52:05 2008  using trial factoring cutoff of 27 bits
Sun Nov 16 04:52:05 2008  polynomial 'A' values have 10 factors
Sun Nov 16 05:03:43 2008  51289 relations (25932 full + 25357 combined from 276904 partial), need 51272
Sun Nov 16 05:03:43 2008  begin with 302836 relations
Sun Nov 16 05:03:43 2008  reduce to 73495 relations in 2 passes
Sun Nov 16 05:03:43 2008  attempting to read 73495 relations
Sun Nov 16 05:03:44 2008  recovered 73495 relations
Sun Nov 16 05:03:44 2008  recovered 64316 polynomials
Sun Nov 16 05:03:44 2008  attempting to build 51289 cycles
Sun Nov 16 05:03:44 2008  found 51289 cycles in 1 passes
Sun Nov 16 05:03:44 2008  distribution of cycle lengths:
Sun Nov 16 05:03:44 2008     length 1 : 25932
Sun Nov 16 05:03:44 2008     length 2 : 25357
Sun Nov 16 05:03:44 2008  largest cycle: 2 relations
Sun Nov 16 05:03:44 2008  matrix is 51176 x 51289 (6.7 MB) with weight 1557069 (30.36/col)
Sun Nov 16 05:03:44 2008  sparse part has weight 1557069 (30.36/col)
Sun Nov 16 05:03:45 2008  filtering completed in 3 passes
Sun Nov 16 05:03:45 2008  matrix is 37092 x 37156 (5.4 MB) with weight 1261642 (33.96/col)
Sun Nov 16 05:03:45 2008  sparse part has weight 1261642 (33.96/col)
Sun Nov 16 05:03:45 2008  saving the first 48 matrix rows for later
Sun Nov 16 05:03:45 2008  matrix is 37044 x 37156 (4.0 MB) with weight 1002066 (26.97/col)
Sun Nov 16 05:03:45 2008  sparse part has weight 813973 (21.91/col)
Sun Nov 16 05:03:45 2008  matrix includes 64 packed rows
Sun Nov 16 05:03:45 2008  using block size 14862 for processor cache size 1024 kB
Sun Nov 16 05:03:45 2008  commencing Lanczos iteration
Sun Nov 16 05:03:45 2008  memory use: 4.3 MB
Sun Nov 16 05:03:51 2008  lanczos halted after 587 iterations (dim = 37042)
Sun Nov 16 05:03:51 2008  recovered 15 nontrivial dependencies
Sun Nov 16 05:03:51 2008  prp34 factor: 2178729077434916503736133330125321
Sun Nov 16 05:03:51 2008  prp48 factor: 676566807283536166402708627290220286482051675841
Sun Nov 16 05:03:51 2008  elapsed time 00:11:47

44523994581224066491456374407948378951798095334630452372072088876207730565761711381108873202032068093249024141<110>

3039594091840195741412652558969397930858942438694303563<55>
14648006686402284380989446730512633636716046580374198407<56>

Number: 32229_119
N=44523994581224066491456374407948378951798095334630452372072088876207730565761711381108873202032068093249024141
  ( 110 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=3039594091840195741412652558969397930858942438694303563 (pp55)
 r2=14648006686402284380989446730512633636716046580374198407 (pp56)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 2.47 hours.
Scaled time: 2.49 units (timescale=1.009).
Factorization parameters were as follows:
name: 32229_119
n: 44523994581224066491456374407948378951798095334630452372072088876207730565761711381108873202032068093249024141
m: 500000000000000000000000
deg: 5
c5: 464
c0: 305
skew: 0.92
type: snfs
lss: 1
rlim: 730000
alim: 730000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 730000/730000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [365000, 615001)
Primes: RFBsize:58789, AFBsize:58572, largePrimes:1393640 encountered
Relations: rels:1416113, finalFF:193824
Max relations in full relation-set: 28
Initial matrix: 117427 x 193824 with sparse part having weight 8753871.
Pruned matrix : 87703 x 88354 with weight 3029773.
Total sieving time: 2.42 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,121,5,0,0,0,0,0,0,0,0,730000,730000,25,25,46,46,2.2,2.2,50000
total time: 2.47 hours.
 --------- CPU info (if available) ----------

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

154404312452651499619825162391679781184038198256602725705528105359351435732648813328651049127<93>

23784786456749368257820483421526223<35>
6491725823707635239534358637976596616815241340171667425449<58>

Sun Nov 16 09:29:45 2008  Msieve v. 1.38
Sun Nov 16 09:29:45 2008  random seeds: eb06c0eb dee408f7
Sun Nov 16 09:29:45 2008  factoring 154404312452651499619825162391679781184038198256602725705528105359351435732648813328651049127 (93 digits)
Sun Nov 16 09:29:46 2008  searching for 15-digit factors
Sun Nov 16 09:29:48 2008  commencing quadratic sieve (93-digit input)
Sun Nov 16 09:29:48 2008  using multiplier of 2
Sun Nov 16 09:29:48 2008  using 64kb Pentium 4 sieve core
Sun Nov 16 09:29:48 2008  sieve interval: 18 blocks of size 65536
Sun Nov 16 09:29:48 2008  processing polynomials in batches of 6
Sun Nov 16 09:29:48 2008  using a sieve bound of 1889117 (70571 primes)
Sun Nov 16 09:29:48 2008  using large prime bound of 221026689 (27 bits)
Sun Nov 16 09:29:48 2008  using double large prime bound of 1047129632032419 (42-50 bits)
Sun Nov 16 09:29:48 2008  using trial factoring cutoff of 50 bits
Sun Nov 16 09:29:48 2008  polynomial 'A' values have 12 factors
Sun Nov 16 12:59:39 2008  71078 relations (18371 full + 52707 combined from 918971 partial), need 70667
Sun Nov 16 12:59:42 2008  begin with 937342 relations
Sun Nov 16 12:59:43 2008  reduce to 178871 relations in 11 passes
Sun Nov 16 12:59:43 2008  attempting to read 178871 relations
Sun Nov 16 12:59:49 2008  recovered 178871 relations
Sun Nov 16 12:59:49 2008  recovered 158299 polynomials
Sun Nov 16 12:59:49 2008  attempting to build 71078 cycles
Sun Nov 16 12:59:49 2008  found 71078 cycles in 6 passes
Sun Nov 16 12:59:49 2008  distribution of cycle lengths:
Sun Nov 16 12:59:49 2008     length 1 : 18371
Sun Nov 16 12:59:49 2008     length 2 : 13084
Sun Nov 16 12:59:49 2008     length 3 : 12391
Sun Nov 16 12:59:49 2008     length 4 : 9547
Sun Nov 16 12:59:49 2008     length 5 : 6908
Sun Nov 16 12:59:49 2008     length 6 : 4395
Sun Nov 16 12:59:49 2008     length 7 : 2773
Sun Nov 16 12:59:49 2008     length 9+: 3609
Sun Nov 16 12:59:49 2008  largest cycle: 21 relations
Sun Nov 16 12:59:49 2008  matrix is 70571 x 71078 (17.7 MB) with weight 4345835 (61.14/col)
Sun Nov 16 12:59:49 2008  sparse part has weight 4345835 (61.14/col)
Sun Nov 16 12:59:51 2008  filtering completed in 3 passes
Sun Nov 16 12:59:51 2008  matrix is 66437 x 66501 (16.6 MB) with weight 4076816 (61.30/col)
Sun Nov 16 12:59:51 2008  sparse part has weight 4076816 (61.30/col)
Sun Nov 16 12:59:51 2008  saving the first 48 matrix rows for later
Sun Nov 16 12:59:51 2008  matrix is 66389 x 66501 (9.8 MB) with weight 3136378 (47.16/col)
Sun Nov 16 12:59:51 2008  sparse part has weight 2167002 (32.59/col)
Sun Nov 16 12:59:51 2008  matrix includes 64 packed rows
Sun Nov 16 12:59:51 2008  using block size 21845 for processor cache size 512 kB
Sun Nov 16 12:59:52 2008  commencing Lanczos iteration
Sun Nov 16 12:59:52 2008  memory use: 9.9 MB
Sun Nov 16 13:00:36 2008  lanczos halted after 1051 iterations (dim = 66389)
Sun Nov 16 13:00:36 2008  recovered 18 nontrivial dependencies
Sun Nov 16 13:00:37 2008  prp35 factor: 23784786456749368257820483421526223
Sun Nov 16 13:00:37 2008  prp58 factor: 6491725823707635239534358637976596616815241340171667425449
Sun Nov 16 13:00:37 2008  elapsed time 03:30:52

17762401581584539215934748989254245111000743713326681417675537217984098385505054330098797056958065861167571<107>

5260246663870249816139402148927464621<37>
3376724080941819078597386914245768715629794334600094008745661189453951<70>

Number: 32229_126
N=17762401581584539215934748989254245111000743713326681417675537217984098385505054330098797056958065861167571
  ( 107 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=5260246663870249816139402148927464621 (pp37)
 r2=3376724080941819078597386914245768715629794334600094008745661189453951 (pp70)
Version: GGNFS-0.77.1-20060513-k8
Total time: 3.66 hours.
Scaled time: 7.29 units (timescale=1.991).
Factorization parameters were as follows:
name: 32229_126
n: 17762401581584539215934748989254245111000743713326681417675537217984098385505054330098797056958065861167571
m: 10000000000000000000000000
deg: 5
c5: 290
c0: 61
skew: 0.73
type: snfs
lss: 1
rlim: 930000
alim: 930000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 930000/930000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [465000, 815001)
Primes: RFBsize:73474, AFBsize:73758, largePrimes:2693813 encountered
Relations: rels:2675287, finalFF:270666
Max relations in full relation-set: 28
Initial matrix: 147299 x 270666 with sparse part having weight 22074441.
Pruned matrix : 118461 x 119261 with weight 6932569.
Total sieving time: 3.45 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,127,5,0,0,0,0,0,0,0,0,930000,930000,26,26,46,46,2.3,2.3,50000
total time: 3.66 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

364900974808867104898967325221905613343552291848563833088459135235478973892663263256448468989776474935458668646978747<117>

702397047936012971295827907183563<33>
519508127036019215068898992290694168510514114774183232879983195042107161939072988369<84>

Number: 32229_129
N=364900974808867104898967325221905613343552291848563833088459135235478973892663263256448468989776474935458668646978747
  ( 117 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=702397047936012971295827907183563 (pp33)
 r2=519508127036019215068898992290694168510514114774183232879983195042107161939072988369 (pp84)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 4.40 hours.
Scaled time: 4.45 units (timescale=1.011).
Factorization parameters were as follows:
name: 32229_129
n: 364900974808867104898967325221905613343552291848563833088459135235478973892663263256448468989776474935458668646978747
m: 50000000000000000000000000
deg: 5
c5: 464
c0: 305
skew: 0.92
type: snfs
lss: 1
rlim: 1070000
alim: 1070000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1070000/1070000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [535000, 985001)
Primes: RFBsize:83548, AFBsize:83187, largePrimes:2867311 encountered
Relations: rels:2842564, finalFF:280905
Max relations in full relation-set: 28
Initial matrix: 166801 x 280905 with sparse part having weight 21547482.
Pruned matrix : 133491 x 134389 with weight 7371408.
Total sieving time: 4.27 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,1070000,1070000,26,26,47,47,2.3,2.3,50000
total time: 4.40 hours.
 --------- CPU info (if available) ----------

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

1731095296161034186652985668204719951318539695468105962876040531421889024048732585255272712583375416756926743955121543411<121>

79670731472298078269193701411<29>
21728121032288311484210768531278542120403106435158017147982447424462035210929072787288822001<92>

Number: 32229_130
N=1731095296161034186652985668204719951318539695468105962876040531421889024048732585255272712583375416756926743955121543411
  ( 121 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=79670731472298078269193701411 (pp29)
 r2=21728121032288311484210768531278542120403106435158017147982447424462035210929072787288822001 (pp92)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 2.36 hours.
Scaled time: 5.59 units (timescale=2.369).
Factorization parameters were as follows:
n: 1731095296161034186652985668204719951318539695468105962876040531421889024048732585255272712583375416756926743955121543411
m: 100000000000000000000000000
deg: 5
c5: 29
c0: 61
skew: 1.16
type: snfs
rlim: 1100000
alim: 1100000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1100000/1100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved algebraic special-q in [550000, 1050001)
Primes: RFBsize:85714, AFBsize:85120, largePrimes:2938526 encountered
Relations: rels:2911673, finalFF:271253
Max relations in full relation-set: 28
Initial matrix: 170899 x 271253 with sparse part having weight 22254580.
Pruned matrix : 141772 x 142690 with weight 9219822.
Total sieving time: 2.21 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,1100000,1100000,26,26,47,47,2.3,2.3,50000
total time: 2.36 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

3948553237576089494148082911757301899278468894475833811454137708324984302175421052876280537476334555392850421077462049389<121>

14968664333421247762182979421624958274117<41>
263787947249239008750674692352237210954998800730439204974507833660087043354398217<81>

Number: 32229_131
N=3948553237576089494148082911757301899278468894475833811454137708324984302175421052876280537476334555392850421077462049389
  ( 121 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=14968664333421247762182979421624958274117 (pp41)
 r2=263787947249239008750674692352237210954998800730439204974507833660087043354398217 (pp81)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 2.55 hours.
Scaled time: 6.09 units (timescale=2.388).
Factorization parameters were as follows:
n: 3948553237576089494148082911757301899278468894475833811454137708324984302175421052876280537476334555392850421077462049389
m: 100000000000000000000000000
deg: 5
c5: 290
c0: 61
skew: 0.73
type: snfs
rlim: 1200000
alim: 1200000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved algebraic special-q in [600000, 1100001)
Primes: RFBsize:92938, AFBsize:93085, largePrimes:2913374 encountered
Relations: rels:2807722, finalFF:218137
Max relations in full relation-set: 28
Initial matrix: 186090 x 218137 with sparse part having weight 17086563.
Pruned matrix : 174542 x 175536 with weight 11234838.
Total sieving time: 2.38 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,132,5,0,0,0,0,0,0,0,0,1200000,1200000,26,26,47,47,2.3,2.3,50000
total time: 2.55 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

1420144740178675433512906399968811958294246897026011140899170620946895100478122156953533633651982314156428833013<112>

1160506834037004778363069891034036545878599561<46>
1223728028587715881592422848454136462283332040500297843381391947533<67>

Number: 32229_132
N=1420144740178675433512906399968811958294246897026011140899170620946895100478122156953533633651982314156428833013
  ( 112 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=1160506834037004778363069891034036545878599561 (pp46)
 r2=1223728028587715881592422848454136462283332040500297843381391947533 (pp67)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 6.34 hours.
Scaled time: 6.41 units (timescale=1.011).
Factorization parameters were as follows:
name: 32229_132
n: 1420144740178675433512906399968811958294246897026011140899170620946895100478122156953533633651982314156428833013
m: 200000000000000000000000000
deg: 5
c5: 725
c0: 488
skew: 0.92
type: snfs
lss: 1
rlim: 1210000
alim: 1210000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1210000/1210000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [605000, 1280001)
Primes: RFBsize:93614, AFBsize:94015, largePrimes:3067360 encountered
Relations: rels:3002294, finalFF:240316
Max relations in full relation-set: 28
Initial matrix: 187696 x 240316 with sparse part having weight 20724710.
Pruned matrix : 172796 x 173798 with weight 12064795.
Total sieving time: 6.13 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,134,5,0,0,0,0,0,0,0,0,1210000,1210000,26,26,47,47,2.3,2.3,75000
total time: 6.34 hours.
 --------- CPU info (if available) ----------

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

142847837933854366350820670655655652951557243538670005984715501589767377406377382448365027428597346275563<105>

82102399405226866715133641<26>
1695378156926123401429032448812952661<37>
1026245436017454986714853921405601157067463<43>

Number: 32229_133
N=142847837933854366350820670655655652951557243538670005984715501589767377406377382448365027428597346275563
  ( 105 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=82102399405226866715133641 (pp26)
 r2=1695378156926123401429032448812952661 (pp37)
 r3=1026245436017454986714853921405601157067463 (pp43)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 6.46 hours.
Scaled time: 6.46 units (timescale=1.000).
Factorization parameters were as follows:
name: 32229_133
n: 142847837933854366350820670655655652951557243538670005984715501589767377406377382448365027428597346275563
m: 500000000000000000000000000
deg: 5
c5: 232
c0: 1525
skew: 1.46
type: snfs
lss: 1
rlim: 1290000
alim: 1290000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1290000/1290000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [645000, 1320001)
Primes: RFBsize:99332, AFBsize:99274, largePrimes:3176509 encountered
Relations: rels:3103563, finalFF:236151
Max relations in full relation-set: 28
Initial matrix: 198673 x 236151 with sparse part having weight 20552066.
Pruned matrix : 187588 x 188645 with weight 13829174.
Total sieving time: 6.20 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,135,5,0,0,0,0,0,0,0,0,1290000,1290000,26,26,47,47,2.3,2.3,75000
total time: 6.46 hours.
 --------- CPU info (if available) ----------

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

3658217346417259879542882504552540988176513141181323018991027486329660954453801889919<85>

44422204522463800558090885913108389<35>
82351098639585552850344538095782597161862158898771<50>

GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 3658217346417259879542882504552540988176513141181323018991027486329660954453801889919 (85 digits)
Using B1=1160000, B2=1426247560, polynomial Dickson(6), sigma=2802654316
Step 1 took 6094ms
Step 2 took 3515ms
********** Factor found in step 2: 44422204522463800558090885913108389
Found probable prime factor of 35 digits: 44422204522463800558090885913108389
Probable prime cofactor 82351098639585552850344538095782597161862158898771 has 50 digits

8740455107513239305779557493730510918834594330157676536378650217243444178655936857371578307479790099541296555547<112>

1876509566605769011012478535021817151398357<43>
4657826031403067538249012839543823016247868013413400768902393511194671<70>

Number: 32229_137
N=8740455107513239305779557493730510918834594330157676536378650217243444178655936857371578307479790099541296555547
  ( 112 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=1876509566605769011012478535021817151398357 (pp43)
 r2=4657826031403067538249012839543823016247868013413400768902393511194671 (pp70)
Version: GGNFS-0.77.1-20060513-k8
Total time: 10.97 hours.
Scaled time: 21.91 units (timescale=1.997).
Factorization parameters were as follows:
name: 32229_137
n: 8740455107513239305779557493730510918834594330157676536378650217243444178655936857371578307479790099541296555547
m: 2000000000000000000000000000
deg: 5
c5: 725
c0: 488
skew: 0.92
type: snfs
lss: 1
rlim: 1470000
alim: 1470000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1470000/1470000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [735000, 1710001)
Primes: RFBsize:112047, AFBsize:112565, largePrimes:3586545 encountered
Relations: rels:3620639, finalFF:294457
Max relations in full relation-set: 28
Initial matrix: 224679 x 294457 with sparse part having weight 29193083.
Pruned matrix : 204167 x 205354 with weight 17484458.
Total sieving time: 10.30 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.47 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,139,5,0,0,0,0,0,0,0,0,1470000,1470000,26,26,48,48,2.3,2.3,75000
total time: 10.97 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

261402791021113117578925405750467260032219345544353197182924360382793355544864901350805049<90>

526346512135981262865057629649851747<36>
496636312759644324545696307974594420148439259761254067<54>

Sat Nov 15 21:31:02 2008  Msieve v. 1.38
Sat Nov 15 21:31:02 2008  random seeds: 52e51600 39bdff75
Sat Nov 15 21:31:02 2008  factoring 261402791021113117578925405750467260032219345544353197182924360382793355544864901350805049 (90 digits)
Sat Nov 15 21:31:03 2008  searching for 15-digit factors
Sat Nov 15 21:31:05 2008  commencing quadratic sieve (90-digit input)
Sat Nov 15 21:31:05 2008  using multiplier of 1
Sat Nov 15 21:31:05 2008  using 32kb Intel Core sieve core
Sat Nov 15 21:31:05 2008  sieve interval: 36 blocks of size 32768
Sat Nov 15 21:31:05 2008  processing polynomials in batches of 6
Sat Nov 15 21:31:05 2008  using a sieve bound of 1577909 (60000 primes)
Sat Nov 15 21:31:05 2008  using large prime bound of 126232720 (26 bits)
Sat Nov 15 21:31:05 2008  using double large prime bound of 382040549960160 (42-49 bits)
Sat Nov 15 21:31:05 2008  using trial factoring cutoff of 49 bits
Sat Nov 15 21:31:05 2008  polynomial 'A' values have 11 factors
Sat Nov 15 22:47:12 2008  60109 relations (15701 full + 44408 combined from 638898 partial), need 60096
Sat Nov 15 22:47:12 2008  begin with 654599 relations
Sat Nov 15 22:47:13 2008  reduce to 147530 relations in 10 passes
Sat Nov 15 22:47:13 2008  attempting to read 147530 relations
Sat Nov 15 22:47:15 2008  recovered 147530 relations
Sat Nov 15 22:47:15 2008  recovered 127332 polynomials
Sat Nov 15 22:47:15 2008  attempting to build 60109 cycles
Sat Nov 15 22:47:15 2008  found 60109 cycles in 5 passes
Sat Nov 15 22:47:15 2008  distribution of cycle lengths:
Sat Nov 15 22:47:15 2008     length 1 : 15701
Sat Nov 15 22:47:15 2008     length 2 : 11329
Sat Nov 15 22:47:15 2008     length 3 : 10720
Sat Nov 15 22:47:15 2008     length 4 : 8056
Sat Nov 15 22:47:15 2008     length 5 : 5760
Sat Nov 15 22:47:15 2008     length 6 : 3736
Sat Nov 15 22:47:15 2008     length 7 : 2134
Sat Nov 15 22:47:15 2008     length 9+: 2673
Sat Nov 15 22:47:15 2008  largest cycle: 19 relations
Sat Nov 15 22:47:15 2008  matrix is 60000 x 60109 (14.8 MB) with weight 3640661 (60.57/col)
Sat Nov 15 22:47:15 2008  sparse part has weight 3640661 (60.57/col)
Sat Nov 15 22:47:15 2008  filtering completed in 3 passes
Sat Nov 15 22:47:15 2008  matrix is 56304 x 56368 (14.0 MB) with weight 3451440 (61.23/col)
Sat Nov 15 22:47:15 2008  sparse part has weight 3451440 (61.23/col)
Sat Nov 15 22:47:16 2008  saving the first 48 matrix rows for later
Sat Nov 15 22:47:16 2008  matrix is 56256 x 56368 (10.3 MB) with weight 2869705 (50.91/col)
Sat Nov 15 22:47:16 2008  sparse part has weight 2356081 (41.80/col)
Sat Nov 15 22:47:16 2008  matrix includes 64 packed rows
Sat Nov 15 22:47:16 2008  using block size 22547 for processor cache size 2048 kB
Sat Nov 15 22:47:16 2008  commencing Lanczos iteration
Sat Nov 15 22:47:16 2008  memory use: 9.3 MB
Sat Nov 15 22:47:37 2008  lanczos halted after 891 iterations (dim = 56255)
Sat Nov 15 22:47:38 2008  recovered 16 nontrivial dependencies
Sat Nov 15 22:47:38 2008  prp36 factor: 526346512135981262865057629649851747
Sat Nov 15 22:47:38 2008  prp54 factor: 496636312759644324545696307974594420148439259761254067
Sat Nov 15 22:47:38 2008  elapsed time 01:16:36

Msieve

65622029498022402511370121818645478725599093924522418761938954240567698309562351507030435140498203033268335542917<113>

23326022163441896017355332795484893<35>
8095744849338993975408132622174877891<37>
347497881729904362093602551567166189462659<42>

Number: 32229_141
N=65622029498022402511370121818645478725599093924522418761938954240567698309562351507030435140498203033268335542917
  ( 113 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=23326022163441896017355332795484893 (pp35)
 r2=8095744849338993975408132622174877891 (pp37)
 r3=347497881729904362093602551567166189462659 (pp42)
Version: GGNFS-0.77.1-20060513-k8
Total time: 13.27 hours.
Scaled time: 26.42 units (timescale=1.991).
Factorization parameters were as follows:
name: 32229_141
n: 65622029498022402511370121818645478725599093924522418761938954240567698309562351507030435140498203033268335542917
m: 10000000000000000000000000000
deg: 5
c5: 290
c0: 61
skew: 0.73
type: snfs
lss: 1
rlim: 1660000
alim: 1660000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1660000/1660000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [830000, 1930001)
Primes: RFBsize:125335, AFBsize:125722, largePrimes:3887765 encountered
Relations: rels:4017215, finalFF:365741
Max relations in full relation-set: 28
Initial matrix: 251124 x 365741 with sparse part having weight 37586099.
Pruned matrix : 216769 x 218088 with weight 19575455.
Total sieving time: 12.54 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.52 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,142,5,0,0,0,0,0,0,0,0,1660000,1660000,26,26,48,48,2.3,2.3,100000
total time: 13.27 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

191617604765042214487285873627042372065144419378891933069732010892507288599184754668089395380241<96>

53090111509500046699970834294540168315452678951<47>
3609289928327873103344992856542781257387147830791<49>

Sun Nov 16 15:51:06 2008  
Sun Nov 16 15:51:06 2008  
Sun Nov 16 15:51:06 2008  Msieve v. 1.32
Sun Nov 16 15:51:06 2008  random seeds: 9ccb8280 d7bc4d77
Sun Nov 16 15:51:06 2008  factoring 
191617604765042214487285873627042372065144419378891933069732010892507288599184754668089395380241 
(96 digits)
Sun Nov 16 15:51:07 2008  no P-1/P+1/ECM available, skipping
Sun Nov 16 15:51:07 2008  commencing quadratic sieve (95-digit input)
Sun Nov 16 15:51:07 2008  using multiplier of 1
Sun Nov 16 15:51:07 2008  using VC8 32kb sieve core
Sun Nov 16 15:51:07 2008  sieve interval: 36 blocks of size 32768
Sun Nov 16 15:51:07 2008  processing polynomials in batches of 6
Sun Nov 16 15:51:07 2008  using a sieve bound of 2231357 (82229 primes)
Sun Nov 16 15:51:07 2008  using large prime bound of 334703550 (28 bits)
Sun Nov 16 15:51:07 2008  using double large prime bound of 2209980934643550 (43-51 bits)
Sun Nov 16 15:51:07 2008  using trial factoring cutoff of 51 bits
Sun Nov 16 15:51:07 2008  polynomial 'A' values have 12 factors
Sun Nov 16 19:33:07 2008  82402 relations (19628 full + 62774 combined from 1248672 partial), need 
82325
Sun Nov 16 19:33:14 2008  begin with 1268300 relations
Sun Nov 16 19:33:15 2008  reduce to 217896 relations in 11 passes
Sun Nov 16 19:33:15 2008  attempting to read 217896 relations
Sun Nov 16 19:33:17 2008  recovered 217896 relations
Sun Nov 16 19:33:17 2008  recovered 204851 polynomials
Sun Nov 16 19:33:18 2008  attempting to build 82402 cycles
Sun Nov 16 19:33:18 2008  found 82402 cycles in 6 passes
Sun Nov 16 19:33:18 2008  distribution of cycle lengths:
Sun Nov 16 19:33:18 2008     length 1 : 19628
Sun Nov 16 19:33:18 2008     length 2 : 14107
Sun Nov 16 19:33:18 2008     length 3 : 13863
Sun Nov 16 19:33:18 2008     length 4 : 11127
Sun Nov 16 19:33:18 2008     length 5 : 8442
Sun Nov 16 19:33:18 2008     length 6 : 5983
Sun Nov 16 19:33:18 2008     length 7 : 3779
Sun Nov 16 19:33:18 2008     length 9+: 5473
Sun Nov 16 19:33:18 2008  largest cycle: 26 relations
Sun Nov 16 19:33:18 2008  matrix is 82229 x 82402 with weight 5568133 (avg 67.57/col)
Sun Nov 16 19:33:18 2008  filtering completed in 3 passes
Sun Nov 16 19:33:18 2008  matrix is 78797 x 78861 with weight 5364790 (avg 68.03/col)
Sun Nov 16 19:33:19 2008  saving the first 48 matrix rows for later
Sun Nov 16 19:33:19 2008  matrix is 78749 x 78861 with weight 4403567 (avg 55.84/col)
Sun Nov 16 19:33:19 2008  matrix includes 64 packed rows
Sun Nov 16 19:33:19 2008  using block size 31544 for processor cache size 4096 kB
Sun Nov 16 19:33:19 2008  commencing Lanczos iteration
Sun Nov 16 19:33:53 2008  lanczos halted after 1247 iterations (dim = 78749)
Sun Nov 16 19:33:53 2008  recovered 17 nontrivial dependencies
Sun Nov 16 19:33:55 2008  prp47 factor: 53090111509500046699970834294540168315452678951
Sun Nov 16 19:33:55 2008  prp49 factor: 3609289928327873103344992856542781257387147830791
Sun Nov 16 19:33:55 2008  elapsed time 03:42:49

360639366956156084287866810171610783624733976547008333737357618447101472770979423032269917976079514554428256628648259060290992063<129>

1598708070484988358112518328305521<34>
3121609285825117168137150203040509<34>
72264569656054347511539909116190943810928844213628642438944667<62>

Number: 32229_145
N=360639366956156084287866810171610783624733976547008333737357618447101472770979423032269917976079514554428256628648259060290992063
  ( 129 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=1598708070484988358112518328305521 (pp34)
 r2=3121609285825117168137150203040509 (pp34)
 r3=72264569656054347511539909116190943810928844213628642438944667 (pp62)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 12.90 hours.
Scaled time: 12.94 units (timescale=1.003).
Factorization parameters were as follows:
name: 32229_145
n: 360639366956156084287866810171610783624733976547008333737357618447101472770979423032269917976079514554428256628648259060290992063
m: 100000000000000000000000000000
deg: 5
c5: 29
c0: 61
skew: 1.16
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, 2265001)
Primes: RFBsize:144125, AFBsize:143518, largePrimes:4161349 encountered
Relations: rels:4324735, finalFF:378250
Max relations in full relation-set: 28
Initial matrix: 287708 x 378250 with sparse part having weight 38595962.
Pruned matrix : 256620 x 258122 with weight 23578229.
Total sieving time: 12.36 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.42 hours.
Time per square root: 0.05 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: 12.90 hours.
 --------- CPU info (if available) ----------

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

27150603199304253514940527210781393490679512341427106122393417249589472947324497432458764591434516158903242979717<113>

3169810222981727600466968272956709187527<40>
8565371832817375392513756344491664934115448215655694538143590743210533971<73>

Number: 32229_146
N=27150603199304253514940527210781393490679512341427106122393417249589472947324497432458764591434516158903242979717
  ( 113 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=3169810222981727600466968272956709187527 (pp40)
 r2=8565371832817375392513756344491664934115448215655694538143590743210533971 (pp73)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 11.07 hours.
Scaled time: 26.45 units (timescale=2.390).
Factorization parameters were as follows:
n: 27150603199304253514940527210781393490679512341427106122393417249589472947324497432458764591434516158903242979717
m: 100000000000000000000000000000
deg: 5
c5: 290
c0: 61
skew: 0.73
type: snfs
rlim: 1950000
alim: 1950000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1950000/1950000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [975000, 1725001)
Primes: RFBsize:145502, AFBsize:145972, largePrimes:3960898 encountered
Relations: rels:4039693, finalFF:373641
Max relations in full relation-set: 28
Initial matrix: 291541 x 373641 with sparse part having weight 34601105.
Pruned matrix : 260365 x 261886 with weight 20668004.
Total sieving time: 10.41 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.58 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,147,5,0,0,0,0,0,0,0,0,1950000,1950000,26,26,49,49,2.3,2.3,75000
total time: 11.07 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

180244995152209257871068513860892740771751549462287974955233441702277009188183769637702407052589249184897134811269254024947<123>

635113194319765417239064874330432842193149404260779<51>
283799796263498656912659353956895657512659811644817238669954795620677593<72>

Number: 32229_149
N=180244995152209257871068513860892740771751549462287974955233441702277009188183769637702407052589249184897134811269254024947
  ( 123 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=635113194319765417239064874330432842193149404260779 (pp51)
 r2=283799796263498656912659353956895657512659811644817238669954795620677593 (pp72)
Version: GGNFS-0.77.1-20060513-k8
Total time: 23.35 hours.
Scaled time: 46.77 units (timescale=2.003).
Factorization parameters were as follows:
name: 32229_149
n: 180244995152209257871068513860892740771751549462287974955233441702277009188183769637702407052589249184897134811269254024947
m: 500000000000000000000000000000
deg: 5
c5: 464
c0: 305
skew: 0.92
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1150000, 1850001)
Primes: RFBsize:169511, AFBsize:169392, largePrimes:7334238 encountered
Relations: rels:7738710, finalFF:851885
Max relations in full relation-set: 28
Initial matrix: 338969 x 851885 with sparse part having weight 94817796.
Pruned matrix : 226765 x 228523 with weight 32842570.
Total sieving time: 22.25 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 0.76 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 23.35 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

37746244636614937109295441126432534233511429209331063518631294297155763315859691710659339462548995062900226905080135189677<122>

4471016885284892094064428969844082669284823<43>
8442429452871492723847244029989852385037808762793079404839902174013864671881499<79>

Number: 32229_153
N=37746244636614937109295441126432534233511429209331063518631294297155763315859691710659339462548995062900226905080135189677
  ( 122 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=4471016885284892094064428969844082669284823 (pp43)
 r2=8442429452871492723847244029989852385037808762793079404839902174013864671881499 (pp79)
Version: GGNFS-0.77.1-20060513-k8
Total time: 43.51 hours.
Scaled time: 85.59 units (timescale=1.967).
Factorization parameters were as follows:
name: 32229_153
n: 37746244636614937109295441126432534233511429209331063518631294297155763315859691710659339462548995062900226905080135189677
m: 5000000000000000000000000000000
deg: 5
c5: 232
c0: 1525
skew: 1.46
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 2700001)
Primes: RFBsize:203362, AFBsize:202463, largePrimes:8126931 encountered
Relations: rels:8269642, finalFF:531820
Max relations in full relation-set: 28
Initial matrix: 405892 x 531820 with sparse part having weight 59695479.
Pruned matrix : 365508 x 367601 with weight 38014697.
Total sieving time: 40.79 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 2.27 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 43.51 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

3932940596154473397043411029640516430303803401489513592173945327232225973966600528391700714282673182011623756607136363687254410051134029602141<142>

986372713677326998182527307992767279549974733724897913803676371177<66>
3987276352659791668600404809219191996642277325038493061533106729035862222933<76>

Number: n
N=3932940596154473397043411029640516430303803401489513592173945327232225973966600528391700714282673182011623756607136363687254410051134029602141
  ( 142 digits)
SNFS difficulty: 156 digits.
Divisors found:

Fri Nov 21 22:18:20 2008  prp66 factor: 986372713677326998182527307992767279549974733724897913803676371177
Fri Nov 21 22:18:20 2008  prp76 factor: 3987276352659791668600404809219191996642277325038493061533106729035862222933
Fri Nov 21 22:18:20 2008  elapsed time 01:37:29 (Msieve 1.38)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 21.20 hours.
Scaled time: 27.66 units (timescale=1.305).
Factorization parameters were as follows:
name: KA_3_2_153_9
n: 3932940596154473397043411029640516430303803401489513592173945327232225973966600528391700714282673182011623756607136363687254410051134029602141
type: snfs
skew: 1.84
deg: 5
c5: 29
c0: 610
m: 10000000000000000000000000000000
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 900001)
Primes: RFBsize:216816, AFBsize:216747, largePrimes:11290316 encountered
Relations: rels:9758502, finalFF:438402
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 20.89 hours.
Total relation processing time: 0.31 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,56,56,2.5,2.5,100000
total time: 21.20 hours.
 --------- CPU info (if available) ----------

145867347807952268579412120037241313649196025306635310236169952952796714365773755203936139204221987693598990373913843959<120>

1891857657521508354844909719281960503397<40>
77102707610175432125304673350243785044485094386824629693426617726158095364091947<80>

GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 145867347807952268579412120037241313649196025306635310236169952952796714365773755203936139204221987693598990373913843959 (120 digits)
Using B1=4516000, B2=8562077170, polynomial Dickson(6), sigma=3701885376
Step 1 took 59297ms
Step 2 took 18375ms
********** Factor found in step 2: 1891857657521508354844909719281960503397
Found probable prime factor of 40 digits: 1891857657521508354844909719281960503397
Probable prime cofactor 77102707610175432125304673350243785044485094386824629693426617726158095364091947 has 80 digits

325324234108862798024888672602227669818231185557939007019477225308521689758051408804150529854512300441954587776525928341252624651350941132594097299<147>

3790426175780289902379082348729368317<37>
85827877663886217686624927713596100146431875154647473222853714845318268952376104728527063396257347348391319247<110>

GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 325324234108862798024888672602227669818231185557939007019477225308521689758051408804150529854512300441954587776525928341252624651350941132594097299 (147 digits)
Using B1=2790000, B2=4281592780, polynomial Dickson(6), sigma=4021036377
Step 1 took 33667ms
Step 2 took 12747ms
********** Factor found in step 2: 3790426175780289902379082348729368317
Found probable prime factor of 37 digits: 3790426175780289902379082348729368317
Probable prime cofactor 85827877663886217686624927713596100146431875154647473222853714845318268952376104728527063396257347348391319247 has 110 digits

1692995007424423415019798294571110455613847542778281019754253169236062192492977341502494284307264305685704328549792521533858327332197837955244799<145>

21190175341877706602064263755067<32>
79895280719012847910673786448020987976586641161452917808757752436610586187445750827143161492493875865710083529997<113>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1456372488
Step 1 took 71098ms
Step 2 took 27177ms
********** Factor found in step 2: 21190175341877706602064263755067
Found probable prime factor of 32 digits: 21190175341877706602064263755067
Probable prime cofactor 79895280719012847910673786448020987976586641161452917808757752436610586187445750827143161492493875865710083529997 has 113 digits

GMP-ECM 6.2.1

1294926208037229459524619934430374100343497975918422937323020742510031460776965454918089468821177240077502721232406771291201199789929165950851<142>

923043599565278593919200163621863<33>
1402887370268419205442411169734934628646967237570845327816811121807097837271907420111192258792588754204879877<109>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3890356734
Step 1 took 48566ms
Step 2 took 17644ms
********** Factor found in step 2: 923043599565278593919200163621863
Found probable prime factor of 33 digits: 923043599565278593919200163621863
Probable prime cofactor 1402887370268419205442411169734934628646967237570845327816811121807097837271907420111192258792588754204879877 has 109 digits

GMP-ECM 6.2.1

48766713331304223297469209004162040855423177792331628693848084378802536364064355176272991837831834801871342032923373<116>

3392334564486724377686000326486270997623824929<46>
14375561255610661870862903525731472575001154792532546013717693189769037<71>

Number: n
N=48766713331304223297469209004162040855423177792331628693848084378802536364064355176272991837831834801871342032923373
  ( 116 digits)
Divisors found:

Sat Nov 22 06:14:15 2008  prp46 factor: 3392334564486724377686000326486270997623824929
Sat Nov 22 06:14:15 2008  prp71 factor: 14375561255610661870862903525731472575001154792532546013717693189769037
Sat Nov 22 06:14:16 2008  elapsed time 00:37:16 (Msieve 1.38)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 33.08 hours.
Scaled time: 67.65 units (timescale=2.045).
Factorization parameters were as follows:
name: KA_3_2_159_9
n: 48766713331304223297469209004162040855423177792331628693848084378802536364064355176272991837831834801871342032923373
skew: 40631.40
# norm 1.28e+16
c5: 48960
c4: -3677136100
c3: -580854246872754
c2: 4669045965929046074
c1: 201689939828851083322901
c0: -1049108959979503795077868296
# alpha -6.13
Y1: 3663644112433
Y0: -15836453313678855586037
# Murphy_E 4.96e-10
# M 5020676239017025116654576699585057370287755122455090683803015253454311247305124917305425540222722612575777110676580
type: gnfs
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 60000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 1900001)
Primes: RFBsize:315948, AFBsize:316550, largePrimes:6201115 encountered
Relations: rels:6010949, finalFF:652204
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 32.85 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,115,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.4,2.4,60000
total time: 33.08 hours.
 --------- CPU info (if available) ----------

71731455271902062683594372416193981301312252677751010734398503646894671594995286707459435462753685485581660198251757661434457299653547628447564971207307<152>

28968902095765974876176251537052725076837212300626871212011<59>
2476153740130391749632672210156842557311791559372719993391286077470404443761638984392106323937<94>

Number: n
N=71731455271902062683594372416193981301312252677751010734398503646894671594995286707459435462753685485581660198251757661434457299653547628447564971207307
  ( 152 digits)
SNFS difficulty: 164 digits.
Divisors found:

Sun Nov 23 02:19:40 2008  prp59 factor: 28968902095765974876176251537052725076837212300626871212011
Sun Nov 23 02:19:40 2008  prp94 factor: 2476153740130391749632672210156842557311791559372719993391286077470404443761638984392106323937
Sun Nov 23 02:19:40 2008  elapsed time 02:27:09 (Msieve 1.38)

Version: GGNFS-0.77.1-20050930-k8
Total time: 45.02 hours.
Scaled time: 37.68 units (timescale=0.837).
Factorization parameters were as follows:
name: KA_3_2_162_9
n: 71731455271902062683594372416193981301312252677751010734398503646894671594995286707459435462753685485581660198251757661434457299653547628447564971207307
type: snfs
skew: 0.29
deg: 5
c5: 29000
c0: 61
m: 100000000000000000000000000000000
rlim: 4600000
alim: 4600000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 2350001)
Primes: RFBsize:322441, AFBsize:321512, largePrimes:15532518 encountered
Relations: rels:14047608, finalFF:643166
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 44.42 hours.
Total relation processing time: 0.60 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,164,5,0,0,0,0,0,0,0,0,4600000,4600000,28,28,56,56,2.5,2.5,100000
total time: 45.02 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656)
Total of 2 processors activated (11993.08 BogoMIPS).

2515936104891199319210067619722540648914314792789491894987050267728767367587831338728546445895809907785893339078962457426043899864092512251094629857784963<154>

529139710257486136769165693925353727749<39>
3543247599221912697675370851675835652468863948412567<52>
1341923476483577207953314651919037091986443271975979972818618161<64>

SNFS difficulty: 166 digits.
Divisors found:
 r1=529139710257486136769165693925353727749 (pp39)
 r2=3543247599221912697675370851675835652468863948412567 (pp52)
 r3=1341923476483577207953314651919037091986443271975979972818618161 (pp64)
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.946).
Factorization parameters were as follows:
n: 2515936104891199319210067619722540648914314792789491894987050267728767367587831338728546445895809907785893339078962457426043899864092512251094629857784963
m: 1000000000000000000000000000000000
deg: 5
c5: 29
c0: 610
skew: 1.84
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2050000, 3850001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 712823 x 713065
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,166,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,52,52,2.5,2.5,200000
total time: 23.00 hours.

Msieve-1.38

Opteron-2.6GHz; Linux x86_64

290182321552631518383000038924456235852986431374832807452922671314386829244814516961006600447060888356154171666057784105753645015163026929820005909713072723592233<162>

126809889244639021357268589157526459258405033<45>
2288325644641308471859080040799162906181921781791384079876889249717810058558308565164012974877788941034747528288278401<118>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1566598641
Step 1 took 25314ms
Step 2 took 16576ms
********** Factor found in step 2: 126809889244639021357268589157526459258405033
Found probable prime factor of 45 digits: 126809889244639021357268589157526459258405033
Probable prime cofactor 2288325644641308471859080040799162906181921781791384079876889249717810058558308565164012974877788941034747528288278401 has 118 digits

GMP-ECM 6.2.1

35006326233588664358088072938856017419625931388340362803570219538504947562072904955252882575767520615701620286254407141842171583383056664051<140>

167947834692183450740511533147613054941648814323210418408876837823<66>
208435710396318151256506590232155224650182410075738412602346314976990700237<75>

Number: 32229_170
N=35006326233588664358088072938856017419625931388340362803570219538504947562072904955252882575767520615701620286254407141842171583383056664051
  ( 140 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=167947834692183450740511533147613054941648814323210418408876837823 (pp66)
 r2=208435710396318151256506590232155224650182410075738412602346314976990700237 (pp75)
Version: Msieve-1.40
Total time: 60.58 hours.
Scaled time: 203.38 units (timescale=3.357).
Factorization parameters were as follows:
name: 32229_170
n: 35006326233588664358088072938856017419625931388340362803570219538504947562072904955252882575767520615701620286254407141842171583383056664051
m: 10000000000000000000000000000000000
deg: 5
c5: 29
c0: 61
skew: 1.16
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, 5600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1003436 x 1003684
Total sieving time: 58.49 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.91 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,171.000,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000
total time: 60.58 hours.
 --------- CPU info (if available) ----------

36184328420458716783794473621574519650197832134006960704915698070724808137184452641172373678746590331491575976751259652496298638595715225353<140>

71226631131878883139350464208032554581474414542829382003<56>
508016844899796294765545041405496260344918851777071646554863027391782895547905314451<84>

Number: 32229_171
N=36184328420458716783794473621574519650197832134006960704915698070724808137184452641172373678746590331491575976751259652496298638595715225353
  ( 140 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=71226631131878883139350464208032554581474414542829382003 (pp56)
 r2=508016844899796294765545041405496260344918851777071646554863027391782895547905314451 (pp84)
Version: Msieve-1.40
Total time: 103.42 hours.
Scaled time: 283.38 units (timescale=2.740).
Factorization parameters were as follows:
name: 32229_171
n: 36184328420458716783794473621574519650197832134006960704915698070724808137184452641172373678746590331491575976751259652496298638595715225353
m: 10000000000000000000000000000000000
deg: 5
c5: 290
c0: 61
skew: 0.73
type: snfs
lss: 1
rlim: 5200000
alim: 5200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2600000, 6300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1014904 x 1015152
Total sieving time: 100.40 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 2.44 hours.
Time per square root: 0.43 hours.
Prototype def-par.txt line would be:
snfs,172.000,5,0,0,0,0,0,0,0,0,5200000,5200000,27,27,52,52,2.4,2.4,100000
total time: 103.42 hours.
 --------- CPU info (if available) ----------

Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

1219212428927886823031307257985710357266659863805581072575138346655716006818750645157329395278313360984288156872310915214773057346396539762989<142>

1956120059556393313825857328687054738057<40>
623280980618530354112754998027850606457794868374334830048837407078203627611767616000368718395160991877<102>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2430223363
Step 1 took 42334ms
Step 2 took 14646ms
********** Factor found in step 2: 1956120059556393313825857328687054738057
Found probable prime factor of 40 digits: 1956120059556393313825857328687054738057
Probable prime cofactor 623280980618530354112754998027850606457794868374334830048837407078203627611767616000368718395160991877 has 102 digits

GMP-ECM 6.2.1

5232720111814733659152693964126230244119203979072214524105213137663288538530031740572097173060566472721220750286994119744882635993267126233<139>

40616218553747946325251389726230239347046700588212487<53>
128833266565429033303216295774484586152214633565090409337000821461017328891599278358559<87>

N = 5232720111814733659152693964126230244119203979072214524105213137663288538530031740572097173060566472721220750286994119744882635993267126233 (139 digits)
SNFS difficulty: 177 digits.
Divisors found:
r1=40616218553747946325251389726230239347046700588212487 (pp53)
r2=128833266565429033303216295774484586152214633565090409337000821461017328891599278358559 (pp87)
Version: Msieve v. 1.48
Total time: 36.30 hours.
Factorization parameters were as follows:
name: (29*10^175+61)/9
n: 5232720111814733659152693964126230244119203979072214524105213137663288538530031740572097173060566472721220750286994119744882635993267126233
Y0: 100000000000000000000000000000000000
Y1: -1
c0: 61
c1: 0
c2: 0
c3: 0
c4: 0
c5: 29
skew: 1.16
type: snfs
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 20861478
Relations: 2390762 relations
Pruned matrix : 1375337 x 1375563
Polynomial selection time: 0.00 hours.
Total sieving time: 33.58 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 2.48 hours.
time per square root: 0.11 hours.
Prototype def-par.txt line would be: snfs,177,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,55,55,2.5,2.5,100000
total time: 36.30 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

8157052460127650600999015887788811104483923910650565768139953672806991729710891527763080772707327021930963<106>

13242551548213967681766393163<29>
615972868251949379864943710198946868352151531886241396399834277242076818280601<78>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3363816077
Step 1 took 13026ms
Step 2 took 10539ms
********** Factor found in step 2: 13242551548213967681766393163
Found probable prime factor of 29 digits: 13242551548213967681766393163
Probable prime cofactor 615972868251949379864943710198946868352151531886241396399834277242076818280601 has 78 digits

GMP-ECM 6.2.1

947981432855101206219552807191970258079809462543839338150546601489647181584321848201870757836322063645333388864077764478885908232145576070320823899<147>

28289956261311611666460271583089028577169222457675633<53>
33509469724826990410891941762891020465273969864670083978847345328008810652209793699780428709003<95>

Number: c147
N = 947981432855101206219552807191970258079809462543839338150546601489647181584321848201870757836322063645333388864077764478885908232145576070320823899 (147 digits)
SNFS difficulty: 179 digits.
Divisors found:
r1=28289956261311611666460271583089028577169222457675633 (pp53)
r2=33509469724826990410891941762891020465273969864670083978847345328008810652209793699780428709003 (pp95)
Version: Msieve v. 1.50 (SVN Official Release)
Total time: 4.88 hours.
Factorization parameters were as follows:
n: 947981432855101206219552807191970258079809462543839338150546601489647181584321848201870757836322063645333388864077764478885908232145576070320823899
m: 100000000000000000000000000000000000
deg: 5
c5: 2900
c0: 61
skew: 0.46
# Murphy_E = 9.068e-11
type: snfs
lss: 1
rlim: 6600000
alim: 6600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6600000/6600000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 19959642
Relations: 2205562 relations
Pruned matrix : 1347368 x 1347597
Polynomial selection time: 0.00 hours.
Total sieving time: 3.51 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 1.10 hours.
time per square root: 0.15 hours.
Prototype def-par.txt line would be: snfs,179,5,0,0,0,0,0,0,0,0,6600000,6600000,28,28,53,53,2.5,2.5,100000
total time: 4.88 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.39GHz

1017215695696800103170751496120117960115121889187835884722515575529540062741296485107889151689183790728722882280504636775844009508482734643585764158480814503<157>

2540233501936432433686111827912088331<37>

400441807779234310067614891895165737808738343639084196218154789813396108976909720112042933850717492062420176778626000213<120>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=567999190
Step 1 took 95956ms
Step 2 took 43025ms
********** Factor found in step 2: 2540233501936432433686111827912088331
Found probable prime factor of 37 digits: 2540233501936432433686111827912088331
Composite cofactor 400441807779234310067614891895165737808738343639084196218154789813396108976909720112042933850717492062420176778626000213 has 120 digits

GMP-ECM 6.3

400441807779234310067614891895165737808738343639084196218154789813396108976909720112042933850717492062420176778626000213<120>

114840470553373557910222066346741989439829995877719<51>
3486939803099499897620372468206686585747003527329504268475842555282227<70>

Number: 32229_178
N = 400441807779234310067614891895165737808738343639084196218154789813396108976909720112042933850717492062420176778626000213 (120 digits)
Divisors found:
r1=114840470553373557910222066346741989439829995877719 (pp51)
r2=3486939803099499897620372468206686585747003527329504268475842555282227 (pp70)
Version: Msieve v. 1.47
Total time: 57.70 hours.
Factorization parameters were as follows:
# Murphy_E = 3.558e-10, selected by Erik Branger
n: 400441807779234310067614891895165737808738343639084196218154789813396108976909720112042933850717492062420176778626000213
Y0: -216596857715915432777071
Y1: 4634815816843
c0: -940403086539991182318872451972
c1: 25469081039335857851100364
c2: -3045642872462369205
c3: -388274056768104
c4: -57093548
c5: 840
skew: 390331.46
type: gnfs
# selected mechanically
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [2550000, 4250000)
Relations: 8926901
Relations in full relation-set: 1200822 relations
Pruned matrix : 688136 x 688361
Polynomial selection time: 0.00 hours.
Total sieving time: 55.73 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 1.53 hours.
time per square root: 0.17 hours.
Prototype def-par.txt line would be: gnfs,119,5,63,2000,2.6e-05,0.28,250,20,50000,3600,5100000,5100000,27,27,51,51,2.5,2.5,100000
total time: 57.70 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

7075560159895981333663280084672788998216635987894048016765732570302212199922321571706452170689003316614334339297762774525857958625251631773342796596232193<154>

3873174738031084451212764056590332827<37>
1826811501794731549924930217285556479573220240386972634316564415285051843593737588937241555478387920363354754292890259<118>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=166353795
Step 1 took 6446ms
Step 2 took 2590ms
********** Factor found in step 2: 3873174738031084451212764056590332827
Found probable prime factor of 37 digits: 3873174738031084451212764056590332827
Probable prime cofactor 1826811501794731549924930217285556479573220240386972634316564415285051843593737588937241555478387920363354754292890259 has 118 digits

GMP-ECM 6.4.2 [config GMP 5.0.4] [ECM]

Core i5, 3.3 GHz, OpenSUSE 11.4

1077791395867084010999906625750898887326457985050058357540827012671156056627349206107749098380174458021013088112509750684158040822114737593785507989289846740988921339<166>

103979411414014132097161457101695191607137908172532333919287602210499400538384051<81>
10365430821450307750290969808266917833608798220850790620086362628246227710743340500889<86>

Number: 32229_181
N = 1077791395867084010999906625750898887326457985050058357540827012671156056627349206107749098380174458021013088112509750684158040822114737593785507989289846740988921339 (166 digits)
SNFS difficulty: 183 digits.
Divisors found:
r1=103979411414014132097161457101695191607137908172532333919287602210499400538384051 (pp81)
r2=10365430821450307750290969808266917833608798220850790620086362628246227710743340500889 (pp86)
Version: Msieve v. 1.52 (SVN 959M)
Total time: 12.15 hours.
Factorization parameters were as follows:
n: 1077791395867084010999906625750898887326457985050058357540827012671156056627349206107749098380174458021013088112509750684158040822114737593785507989289846740988921339
m: 1000000000000000000000000000000000000
deg: 5
c5: 290
c0: 61
skew: 0.73
# Murphy_E = 6.815e-11
type: snfs
lss: 1
rlim: 7700000
alim: 7700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7700000/7700000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 19215270
Relations: 2801014 relations
Pruned matrix : 1670813 x 1671040
Polynomial selection time: 0.00 hours.
Total sieving time: 10.71 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.00 hours.
time per square root: 0.33 hours.
Prototype def-par.txt line would be: snfs,183,5,0,0,0,0,0,0,0,0,7700000,7700000,28,28,53,53,2.5,2.5,200000
total time: 12.15 hours.
Intel64 Family 6 Model 62 Stepping 4, GenuineIntel
Windows-7-6.1.7600
processors: 12, speed: 3.40GHz

42352071043291717458118073455694892408871742433864575806256741555205143282240817118076215881591437194018152594190677406626133398012247897654146532820686340430415919682013640609<176>

1118013576488900487577718105348790979602188185587615549876886799640619<70>
37881535550129505992212652807097057687381828541840535520767829996952902212782143842072900206878488811130211<107>

Number: 1
N=42352071043291717458118073455694892408871742433864575806256741555205143282240817118076215881591437194018152594190677406626133398012247897654146532820686340430415919682013640609
  ( 176 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=1118013576488900487577718105348790979602188185587615549876886799640619 (pp70)
 r2=37881535550129505992212652807097057687381828541840535520767829996952902212782143842072900206878488811130211 (pp107)
Version: Msieve-1.40
Total time: 227.56 hours.
Scaled time: 395.73 units (timescale=1.739).
Factorization parameters were as follows:
n: 42352071043291717458118073455694892408871742433864575806256741555205143282240817118076215881591437194018152594190677406626133398012247897654146532820686340430415919682013640609
m: 1000000000000000000000000000000000000
deg: 5
c5: 2900
c0: 61
skew: 0.46
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4000000, 7800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1404606 x 1404831
Total sieving time: 223.94 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 2.77 hours.
Time per square root: 0.61 hours.
Prototype def-par.txt line would be:
snfs,183.000,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,53,53,2.5,2.5,100000
total time: 227.56 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

4675356583545524825013894413363468556945668380055116447237074166742737435614841099716015771260847567197756157983585416686269102618687233153905689037617<151>

37296769389789298779684908001329<32>
125355537759404243933982601729318974211996976487902842604447040165178893665367161257179742437444317012524654252728521473<120>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2120548678
Step 1 took 15802ms
Step 2 took 12328ms
********** Factor found in step 2: 37296769389789298779684908001329
Found probable prime factor of 32 digits: 37296769389789298779684908001329
Probable prime cofactor 125355537759404243933982601729318974211996976487902842604447040165178893665367161257179742437444317012524654252728521473 has 120 digits

GMP-ECM 6.2.1

312676551044095351059812813407309169414678107486719833414303828794712728359329185472359657363335448150372357407809149332264741504437<132>

15050251286524388400394233437985602457708017909741<50>
20775503683719750878033446607322196798140020963203209997397816292065537264414561257<83>

Number: n
N=312676551044095351059812813407309169414678107486719833414303828794712728359329185472359657363335448150372357407809149332264741504437
  ( 132 digits)
Divisors found:

Tue Apr 17 12:21:14 2012  prp50 factor: 15050251286524388400394233437985602457708017909741
Tue Apr 17 12:21:14 2012  prp83 factor: 20775503683719750878033446607322196798140020963203209997397816292065537264414561257
Tue Apr 17 12:21:14 2012  elapsed time 01:26:38 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.091).
Factorization parameters were as follows:
name: KA_32229_185
n: 312676551044095351059812813407309169414678107486719833414303828794712728359329185472359657363335448150372357407809149332264741504437
skew: 133311.84
# norm 4.51e+17
c5: 100440
c4: -85409848980
c3: -4884498262428690
c2: 1276457991960507213071
c1: 23469778506048368337108986
c0: -4164831619289160297455572805002
# alpha -5.58
Y1: 237934213515493
Y0: -19890175051462712145116541
# Murphy_E 6.66e-11
# M 161526308454878018138947908799336027005665097569144287353448881975665689353855503408009269721501817910923771849190622426453376188063
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, 15360000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2591629 hash collisions in 12906468 relations (10415683 unique)
Msieve: matrix is 975827 x 976052 (280.4 MB)

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

7687504060539835938241812108807707610084134351196074491195907286991355483346098423276905938072695145759634528013<112>

234409202006688255034232774122567068593<39>
32795231563991643406708561831148438339108461899856497446365159781924774941<74>

Number: 32229_186
N=7687504060539835938241812108807707610084134351196074491195907286991355483346098423276905938072695145759634528013
  ( 112 digits)
Divisors found:
 r1=234409202006688255034232774122567068593 (pp39)
 r2=32795231563991643406708561831148438339108461899856497446365159781924774941 (pp74)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 40.91 hours.
Scaled time: 19.31 units (timescale=0.472).
Factorization parameters were as follows:
name: 32229_186
n: 7687504060539835938241812108807707610084134351196074491195907286991355483346098423276905938072695145759634528013
skew: 133187.17
# norm 2.88e+15
c5: 1320
c4: -514310512
c3: -50979482068505
c2: 8010119441520019056
c1: 457410820682172058593724
c0: -16837277770970666611448064400
# alpha -6.23
Y1: 25966459357
Y0: -5662946263637765414111
# Murphy_E 8.13e-10
# M 4200585395635473684294363244070652105637947337899380732823859960862627643749087323514256470378064353059671242202
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 [1750000, 2550001)
Primes: RFBsize:250150, AFBsize:250898, largePrimes:7476257 encountered
Relations: rels:7404514, finalFF:659120
Max relations in full relation-set: 28
Initial matrix: 501131 x 659120 with sparse part having weight 54630815.
Pruned matrix : 365685 x 368254 with weight 28525788.
Total sieving time: 35.12 hours.
Total relation processing time: 0.53 hours.
Matrix solve time: 4.97 hours.
Time per square root: 0.30 hours.
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: 40.91 hours.
 --------- CPU info (if available) ----------

(上の枠に貼り付けた素因数分解ソフトウェアの出力結果に実行環境の情報が含まれていない場合は、それをここに記入してください。例：
Pentium 4 2.4GHz, Windows XP and Cygwin)

927980673273765753329287027289779035826404513063468161614756715575835974469454903486686796064263990177746275221214956124957610976664785111480951380989620121819<159>

126136997707459067497891436363073652377951350719774306530733<60>
7356926913909652527756182583961206126376841304802158404548325476354138644751802853588408478713119143<100>

n: 927980673273765753329287027289779035826404513063468161614756715575835974469454903486686796064263990177746275221214956124957610976664785111480951380989620121819
skew: 0.29
c0: 61
c5: 29000
Y0: -10000000000000000000000000000000000000
Y1: 1
# f(x) = 29000*x^5+61
# g(x) = x-10000000000000000000000000000000000000

Info:Generate Factor Base: Total cpu/real time for makefb: 3.08/1.44383
Info:Generate Free Relations: Total cpu/real time for freerel: 71.43/24.4594
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22155393
Info:Lattice Sieving: Average J: 7582.74 for 506229 special-q, max bucket fill -bkmult 1.0,1s:1.128870
Info:Lattice Sieving: Total time: 545362s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 54.78/95.8738
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 95.7s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 329.02/133.648
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 123.2s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 205.01/84.9328
Info:Filtering - Merging: Total cpu/real time for merge: 407.28/399.078
Info:Filtering - Merging: Total cpu/real time for replay: 33.95/35.0807
Info:Linear Algebra: Total cpu/real time for bwc: 49961.8/3511.88
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 2157.66, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (48000 iterations)
Info:Linear Algebra: Lingen CPU time 104.52, WCT time 104.95
Info:Linear Algebra: Mksol: WCT time 1123.71, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (24000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 41.75/12.8459
Info:Square Root: Total cpu/real time for sqrt: 1049.54/164.581
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 1.1176e+06/18617.3
126136997707459067497891436363073652377951350719774306530733 7356926913909652527756182583961206126376841304802158404548325476354138644751802853588408478713119143

CADO-NFS-3.0.0-dev

5 * AMD Ryzen 7 1700X Eight-Core Processor w/ 64GB RAM

44253934613129959585185774423781229435129822877151765738934353626413011536971759685820137332685925737902657070783876948132021810908757553496181922358354802481161851589080126773727647<182>

27761759538197974059562430563756658119<38>

1594060871834872849232550589685222453981967176450655020577707866167574633834981155680666100440925348543054119622244370855518420960468096525335913<145>

Factor=27761759538197974059562430563756658119  Method=ECM  B1=11000000  Sigma=745784242

1594060871834872849232550589685222453981967176450655020577707866167574633834981155680666100440925348543054119622244370855518420960468096525335913<145>

37356731490990402952655690893911397175094652919050099199<56>
42671315401866038694619217226204407467884819190422951531897442129219871868539355253774487<89>

n: 1594060871834872849232550589685222453981967176450655020577707866167574633834981155680666100440925348543054119622244370855518420960468096525335913
skew: 1887160.836
c0: 65756144295028185867569054276914715
c1: -193224132562383670497524521622
c2: -521150980678716798719385
c3: 119309141145392738
c4: 56329003510
c5: 6300
Y0: -16610915177719920273631078104
Y1: 712551111620364103
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 1.9e-07
# found by revision d6ebcd34f
# f(x) = 6300*x^5+56329003510*x^4+119309141145392738*x^3-521150980678716798719385*x^2-193224132562383670497524521622*x+65756144295028185867569054276914715
# g(x) = 712551111620364103*x-16610915177719920273631078104

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): 78662/43.470/51.987/59.680/0.930
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 78662/41.890/46.630/52.720/1.341
Info:Polynomial Selection (size optimized): Total time: 60793.9                
Info:Polynomial Selection (root optimized): Aggregate statistics:              
Info:Polynomial Selection (root optimized): Total time: 2479.51                
Info:Polynomial Selection (root optimized): Rootsieve time: 2478.92            
Info:Generate Factor Base: Total cpu/real time for makefb: 21.89/1.39155       
Info:Generate Free Relations: Total cpu/real time for freerel: 490.77/12.2931  
Info:Lattice Sieving: Aggregate statistics:                                    
Info:Lattice Sieving: Total number of relations: 48396703                      
Info:Lattice Sieving: Average J: 3905.32 for 1030309 special-q, max bucket fill
-bkmult 1.0,1s:1.060700
Info:Lattice Sieving: Total time: 2.79139e+06s                                 
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 169.99/282.51
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:      
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 281.5s  
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2:
1774.52/1057.3
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:        
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 891.8s    
Info:Filtering - Singleton removal: Total cpu/real time for purge: 1513.93/945.977
Info:Filtering - Merging: Total cpu/real time for merge: 1959.56/1927.35       
Info:Filtering - Merging: Total cpu/real time for replay: 131.25/96.1091       
Info:Linear Algebra: Total cpu/real time for bwc: 531730/22828.3               
Info:Linear Algebra: Aggregate statistics:                                     
Info:Linear Algebra: Krylov: WCT time 15067.56, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.03, comm-wait 0.0 (106000 iterations)                            
Info:Linear Algebra: Lingen CPU time 233.04, WCT time 234.12                   
Info:Linear Algebra: Mksol: WCT time 7293.6, iteration CPU time 0.1, COMM 0.01,
cpu-wait 0.03, comm-wait 0.0 (53000 iterations)                                
Info:Quadratic Characters: Total cpu/real time for characters: 163.38/30.4324  
Info:Square Root: Total cpu/real time for sqrt: 3704.22/532.384                
Info:HTTP server: Shutting down HTTP server                                    
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 2.9626e+06/23393.7
37356731490990402952655690893911397175094652919050099199 42671315401866038694619217226204407467884819190422951531897442129219871868539355253774487             

CADO-NFS-3.0.0-dev

AMD Ryzen Threadripper 2990WX 32-Core Processor with 64GB RAM

3363923496440831483891694000894021827833743546984106810528636505958272354825128519190170310238343247912052414855642483630605978651815348100699968565062904655999667579400028955957473191<184>

379303974482798675248238166951237817007<39>
8868674526882355234973355445859789489790998075767556557156388179756291637299020314187352134439505695549752457306171417232581001111488746467250313<145>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1526137747
Step 1 took 18295ms
Step 2 took 7115ms
********** Factor found in step 2: 379303974482798675248238166951237817007
Found probable prime factor of 39 digits: 379303974482798675248238166951237817007
Probable prime cofactor 8868674526882355234973355445859789489790998075767556557156388179756291637299020314187352134439505695549752457306171417232581001111488746467250313 has 145 digits

GMP-ECM 6.2.3

10849121967432783435433709905975163756907236545614341389337186301854592550957294449665408413295437699480136427699042552921245744133416908715484185839000217<155>

2316834160594153819667107946835624439<37>
4682735670925414078866118621047739953536644987195349759769350594785717948649737367633121436688424842703068559636997103<118>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=114559045
Step 1 took 54535ms
Step 2 took 19111ms
********** Factor found in step 2: 2316834160594153819667107946835624439
Found probable prime factor of 37 digits: 2316834160594153819667107946835624439
Probable prime cofactor 4682735670925414078866118621047739953536644987195349759769350594785717948649737367633121436688424842703068559636997103 has 118 digits

GMP-ECM 6.2.1

42572488102090588089010558123851001576503274925347674096153047213916917000236791114857490064095082862944040226009999249843399304541706431572579265935799807131948729218570236751478403050186651<191>

535383153471366207293599582647649694658194498513989714439941005811<66>
79517795481712862975438893710418218764367905840397644053578933124464639481303860666705648812614049901515346528747413843584441<125>

Number: n
N=42572488102090588089010558123851001576503274925347674096153047213916917000236791114857490064095082862944040226009999249843399304541706431572579265935799807131948729218570236751478403050186651
  ( 191 digits)
SNFS difficulty: 197 digits.
Divisors found:

Sun Mar 21 22:53:17 2010  prp66 factor: 535383153471366207293599582647649694658194498513989714439941005811
Sun Mar 21 22:53:17 2010  prp125 factor: 79517795481712862975438893710418218764367905840397644053578933124464639481303860666705648812614049901515346528747413843584441
Sun Mar 21 22:53:17 2010  elapsed time 04:59:08 (Msieve 1.42 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.092).
Factorization parameters were as follows:
name: KA_3_2_195_9
n: 42572488102090588089010558123851001576503274925347674096153047213916917000236791114857490064095082862944040226009999249843399304541706431572579265935799807131948729218570236751478403050186651
m: 1000000000000000000000000000000000000000
deg: 5
c5: 290
c0: 61
skew: 0.73
type: snfs
lss: 1
rlim: 13700000
alim: 13700000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 13700000/13700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 20750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4489339 hash collisions in 30842377 relations
Msieve: matrix is 1934042 x 1934267 (546.4 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13700000,13700000,28,28,56,56,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.44 BogoMIPS (lpj=2830723)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830452)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
Total of 4 processors activated (22644.18 BogoMIPS).

3222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229<199>

2095371728411637326523016514560361<34>
74843311724277390714103497997979276379695056502313658840857218754233651055714689<80>
20546668414495269636043870873401510005927188389041146706716965258195301264107264535501<86>

Number: 32229_198
N=3222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229
  ( 199 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=2095371728411637326523016514560361
 r2=74843311724277390714103497997979276379695056502313658840857218754233651055714689
 r3=20546668414495269636043870873401510005927188389041146706716965258195301264107264535501
Version: 
Total time: 1037.76 hours.
Scaled time: 2075.52 units (timescale=2.000).
Factorization parameters were as follows:
n: 3222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229
m: 5000000000000000000000000000000000000000
deg: 5
c5: 232
c0: 1525
skew: 1.46
type: snfs
lss: 1
rlim: 15600000
alim: 15600000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6Factor base limits: 15600000/15600000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [7800000, 19100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3123383 x 3123631
Total sieving time: 1037.76 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,200,5,0,0,0,0,0,0,0,0,15600000,15600000,29,29,56,56,2.6,2.6,100000
total time: 1037.76 hours.
 --------- CPU info (if available) ----------

179526953811962077517626844990218997705992172418021898012968771461675072121551491298203982166028696506047366457220746235393598371705485400254124347716557835279191524400712202724171<180>

58343388779761257704951851639157<32>
3077074499214522748632213611056655095717140680566341705973669110785949514958750371170369577914576307101651781314268732187605947947179696724581063103<148>

N=179526953811962077517626844990218997705992172418021898012968771461675072121551491298203982166028696506047366457220746235393598371705485400254124347716557835279191524400712202724171
  ( 180 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=58343388779761257704951851639157 (pp32)
 r2=3077074499214522748632213611056655095717140680566341705973669110785949514958750371170369577914576307101651781314268732187605947947179696724581063103 (pp148)
Version: Msieve v. 1.49
Total time:
Scaled time: 65.00 units (timescale=0.692).
Factorization parameters were as follows:
n: 179526953811962077517626844990218997705992172418021898012968771461675072121551491298203982166028696506047366457220746235393598371705485400254124347716557835279191524400712202724171
m: 1000000000000000000000000000000000000000
deg: 5
c5: 290000
c0: 61
skew: 0.18
type: snfs
lss: 1
rlim: 15400000
alim: 15400000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 320000
Factor base limits: 15400000/15400000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [7700000, 17620001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3140078 x 3140305
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,200.000,5,0,0,0,0,0,0,0,0,15400000,15400000,29,29,56,56,2.6,2.6,100000
total time:

5865110280112024589875592931491103149597283302369395522615446862463735209218207169949343690941344264536303528123728681781244195706623<133>

189105340714732018807362024601812909796876588160084676971<57>
31015043033393875969979370408433774167764409119914189614811849006170997486013<77>

Number: 32229_203
N = 5865110280112024589875592931491103149597283302369395522615446862463735209218207169949343690941344264536303528123728681781244195706623 (133 digits)
Divisors found:
r1=189105340714732018807362024601812909796876588160084676971 (pp57)
r2=31015043033393875969979370408433774167764409119914189614811849006170997486013 (pp77)
Version: Msieve v. 1.47
Total time: 219.08 hours.
Factorization parameters were as follows:
# Murphy_E = 5.172057e-11, selected by Jeff Gilchrist
n: 5865110280112024589875592931491103149597283302369395522615446862463735209218207169949343690941344264536303528123728681781244195706623
Y0: -42392166806471181055402032
Y1: 540883127374777
c0: 3746853529432020416406806211329095
c1: 137579291536842721822750187
c2: -120489443723064925804621
c3: -74623527199268735
c4: -10487622582
c5: 42840
skew: 854949.78
type: gnfs
# selected mechanically
rlim: 11600000
alim: 11600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 11600000/11600000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [5800000, 13600000)
Relations: 20333614
Relations in full relation-set: 3092318 relations
Pruned matrix : 1822672 x 1822897
Polynomial selection time: 0.00 hours.
Total sieving time: 214.35 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 3.30 hours.
time per square root: 1.25 hours.
Prototype def-par.txt line would be: gnfs,132,5,65,2000,1e-05,0.28,250,20,50000,3600,11600000,11600000,28,28,54,54,2.6,2.6,100000
total time: 219.08 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

26033980666203886860446573036014641174767230836122737859566861104395148369081898237361732842027882452062462508159945693964060375583189106115086281929404912737673226823717802349<176>

4639398938356890917567253322354898280137632497559596635433967<61>
5611498604046366226659058707645305922723200334382025860782506673864249421328353387830349095829679869305044930587747<115>

Number: n
N=26033980666203886860446573036014641174767230836122737859566861104395148369081898237361732842027882452062462508159945693964060375583189106115086281929404912737673226823717802349  ( 176 digits)
SNFS difficulty: 206 digits.
Divisors found:

Wed Nov 10 20:24:00 2021  p61 factor: 4639398938356890917567253322354898280137632497559596635433967
Wed Nov 10 20:24:00 2021  p115 factor: 5611498604046366226659058707645305922723200334382025860782506673864249421328353387830349095829679869305044930587747
Wed Nov 10 20:24:00 2021  elapsed time 01:59:09 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.318).
Factorization parameters were as follows:
#
# N = 29x10^204+61 = 32(203)9
#
n: 26033980666203886860446573036014641174767230836122737859566861104395148369081898237361732842027882452062462508159945693964060375583189106115086281929404912737673226823717802349
m: 50000000000000000000000000000000000000000
deg: 5
c5: 464
c0: 305
skew: 0.92
# Murphy_E = 8.315e-12
type: snfs
lss: 1
rlim: 19100000
alim: 19100000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19100000/19100000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 36750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9969455 hash collisions in 65092060 relations (57545693 unique)
Msieve: matrix is 2241930 x 2242159 (782.2 MB)

Sieving start time : 2021/11/10 04:33:06
Sieving end time  : 2021/11/10 18:23:09

Total sieving time: 13hrs 50min 3secs.

Total relation processing time: 1hrs 36min 35sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 8sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19100000,19100000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118892] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2728K init, 4972K bss, 487280K reserved, 0K cma-reserved)
[    0.152618] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084)
[    0.150210] smpboot: Total of 16 processors activated (102384.67 BogoMIPS)

675842819426564463258972337959413709949445399178367208167595514453565526339940561886226636813069022100081548988215579864399642691681867667499858875038981015551821<162>

417151006210938068298314450286647217742545336712287661775014634239952758892716411<81>
1620139492327666515021091710590663447241348657441419884480154173576465447376868311<82>

Number: n
N=675842819426564463258972337959413709949445399178367208167595514453565526339940561886226636813069022100081548988215579864399642691681867667499858875038981015551821  ( 162 digits)
SNFS difficulty: 208 digits.
Divisors found:

Mon Nov 18 22:17:32 2024  prp81 factor: 417151006210938068298314450286647217742545336712287661775014634239952758892716411
Mon Nov 18 22:17:32 2024  prp82 factor: 1620139492327666515021091710590663447241348657441419884480154173576465447376868311
Mon Nov 18 22:17:32 2024  elapsed time 04:17:36 (Msieve 1.44 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.140).
Factorization parameters were as follows:
#
# N = 29x10^207+61 = 32(206)9
#
n: 675842819426564463258972337959413709949445399178367208167595514453565526339940561886226636813069022100081548988215579864399642691681867667499858875038981015551821
m: 100000000000000000000000000000000000000000
deg: 5
c5: 2900
c0: 61
skew: 0.46
# Murphy_E = 5.264e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 27
lpba: 27
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
q0: 50000
qintsize: 50000
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 57/57
Sieved  special-q in [50000, 88450000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8690145 hash collisions in 28017357 relations (17108998 unique)
Msieve: matrix is 2789149 x 2789374 (784.2 MB)

Sieving start time: 2024/11/16 19:32:31
Sieving end time  : 2024/11/18 17:51:12

Total sieving time: 46hrs 18min 41secs.

Total relation processing time: 4hrs 4min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 5sec.

Prototype def-par.txt line would be:
snfs,208,5,0,0,0,0,0,0,0,0,21000000,21000000,27,27,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

99392876150684838329896593142419158153868104359901932039100311764945760674597005053680747196666663079553775004552410172825886496345561510564122499512169943664908097968832185125506726384508434471049<197>

176447623792614174900080014285435988134172576183752745764379592761644590156209<78>
563299601401859573609658158245869912631898463855535743240168803152514904969503022913160698377671883377208160162903644761<120>

Number: n
N=99392876150684838329896593142419158153868104359901932039100311764945760674597005053680747196666663079553775004552410172825886496345561510564122499512169943664908097968832185125506726384508434471049
  ( 197 digits)
SNFS difficulty: 209 digits.
Divisors found:

Sat Jun 12 13:57:42 2021  p78 factor: 176447623792614174900080014285435988134172576183752745764379592761644590156209
Sat Jun 12 13:57:42 2021  p120 factor: 563299601401859573609658158245869912631898463855535743240168803152514904969503022913160698377671883377208160162903644761
Sat Jun 12 13:57:42 2021  elapsed time 04:35:42 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.352).
Factorization parameters were as follows:
#
# N = 29x10^208+61 = 32(207)9
#
n: 99392876150684838329896593142419158153868104359901932039100311764945760674597005053680747196666663079553775004552410172825886496345561510564122499512169943664908097968832185125506726384508434471049
m: 100000000000000000000000000000000000000000
deg: 5
c5: 29000
c0: 61
skew: 0.29
# Murphy_E = 4.393e-12
type: snfs
lss: 1
rlim: 22000000
alim: 22000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 22000000/22000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 67000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9692508 hash collisions in 59482548 relations (51620649 unique)
Msieve: matrix is 3256808 x 3257033 (1138.3 MB)

Sieving start time : 2021/06/11 07:27:40
Sieving end time  : 2021/06/12 09:20:40

Total sieving time: 25hrs 53min 0secs.

Total relation processing time: 4hrs 2min 44sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 16min 23sec.

Prototype def-par.txt line would be:
snfs,209,5,0,0,0,0,0,0,0,0,22000000,22000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119993] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241092K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2736K init, 4964K bss, 486144K reserved, 0K cma-reserved)
[    0.154044] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.33 BogoMIPS (lpj=12798672)
[    0.150212] smpboot: Total of 16 processors activated (102389.37 BogoMIPS)

2237416482735362840152457888484107982485450090217442577316267829365192094956489028387782408537774510611754190273665067113638479822332922364743232182657724502300215051534866269999715147<184>

186476771178701390074688502249150683705023081769599120604820361071918196523006652387893261695171235085030384331042537634328133<126>

52154353453241924319560890202927112733180397474933203295729669<62>
3575478533079388778507243385843793124916203081914006745805173057<64>

N = 186476771178701390074688502249150683705023081769599120604820361071918196523006652387893261695171235085030384331042537634328133 (126 digits)
Divisors found:
r1=52154353453241924319560890202927112733180397474933203295729669 (pp62)
r2=3575478533079388778507243385843793124916203081914006745805173057 (pp64)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 15.98 hours.
Factorization parameters were as follows:
n: 186476771178701390074688502249150683705023081769599120604820361071918196523006652387893261695171235085030384331042537634328133
Y0: -2194971120503797912205575
Y1: 27522889323457
c0: -47948404405690332881571194132256
c1: 131579826316088058065001348
c2: 699131899002956469168
c3: 1102304857240403
c4: -267056176
c5: 3660
skew: 509363.68 
type: gnfs
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 18187764
Relations: 1926078 relations
Pruned matrix : 1072586 x 1072816
Polynomial selection time: 0.00 hours.
Total sieving time: 14.64 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.16 hours.
time per square root: 0.09 hours.
Prototype def-par.txt line would be: gnfs,125,5,65,2000,1e-05,0.28,250,20,50000,3600,5800000,5800000,28,28,55,55,2.5,2.5,100000
total time: 15.98 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

284086005181514298916555126357364447927365141781882301606940895669385740201401493818361477680651787190083267186104484384699644504026747540007464940706822500059744041971178033<174>

2351696386632906484372207561372703855293168872591397111140352866256505854797138350230980583379420847210409175864576628281763222535694422223417336485453718427255124246785502666487446350267929885573940897901<205>

177328316363148054188127363647887997<36>
39884922419102522560358134710728902808207887<44>
332502113018174021203556184314067324115168737159764197114048388242399254833211693933898766044406238540307164328535987869604159<126>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1593219988
Step 1 took 63759ms
Step 2 took 33071ms
********** Factor found in step 2: 39884922419102522560358134710728902808207887
Found probable prime factor of 44 digits: 39884922419102522560358134710728902808207887

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=3784781022
Step 1 took 64010ms
Step 2 took 33044ms
********** Factor found in step 2: 177328316363148054188127363647887997
Found probable prime factor of 36 digits: 177328316363148054188127363647887997

322222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229<216>

5985390914010572697391294057154645350392271258498586115373<58>
53834783199868546355454318268686142015363764646355387945884014906527038081708377282997330624793978864809172762590464494324869510722578985168027095072644600073<158>

N=322222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229
  ( 216 digits)
SNFS difficulty: 217 digits.
Divisors found:
 r1=5985390914010572697391294057154645350392271258498586115373 (pp58)
 r2=53834783199868546355454318268686142015363764646355387945884014906527038081708377282997330624793978864809172762590464494324869510722578985168027095072644600073 (pp158)
Version: Msieve v. 1.51 (SVN Unversioned directory)
Total time:
Scaled time: 143.68 units (timescale=1.549).
Factorization parameters were as follows:
n: 322222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229
m: 1000000000000000000000000000000000000
deg: 6
c6: 29
c0: 610
skew: 1.66
# Murphy_E = 1.78e-12
type: snfs
lss: 1
rlim: 29000000
alim: 29000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
qintsize: 1600000
Factor base limits: 29000000/29000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved rational special-q in [14500000, 76900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 6680990 x 6681217
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,217.000,6,0,0,0,0,0,0,0,0,29000000,29000000,29,29,58,58,2.6,2.6,100000
total time:

2006307776927459013876459029727739692575433223078564589691024299138342353368071094348666737103982252417969064355111412439777682896232602308175842148890101879860442956303127013204597211727008777<193>

3139707276637854211716158740657783<34>

639011092484999896914452993064910907211905564306799851332780497343421361052323891155903480694395305993583991661442452806691760179399826866902834051386869672319<159>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=89796715
Step 1 took 10640ms
Step 2 took 6146ms
********** Factor found in step 2: 3139707276637854211716158740657783
Found probable prime factor of 34 digits: 3139707276637854211716158740657783
Composite cofactor 639011092484999896914452993064910907211905564306799851332780497343421361052323891155903480694395305993583991661442452806691760179399826866902834051386869672319 has 159 digits

GMP-ECM 6.3

62091894111451565132870563093019008770615860768559373811330207235844525819457295378269343774697871436378361754934950431227755653842676477153118038497276611069890643611751704265621294023<185>

316204430489845478512461984056899092413711551<45>
53497214694126623618400735841495078740796630707045989146651<59>
3670589231400855073729364351011963851187430492509565237589021103321143195837452923<82>

Number: 32229_219
N = 62091894111451565132870563093019008770615860768559373811330207235844525819457295378269343774697871436378361754934950431227755653842676477153118038497276611069890643611751704265621294023 (185 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=316204430489845478512461984056899092413711551 (pp45)
r2=53497214694126623618400735841495078740796630707045989146651 (pp59)
r3=3670589231400855073729364351011963851187430492509565237589021103321143195837452923 (pp82)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 93.04 hours.
Factorization parameters were as follows:
n: 62091894111451565132870563093019008770615860768559373811330207235844525819457295378269343774697871436378361754934950431227755653842676477153118038497276611069890643611751704265621294023
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 29
c0: 610
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: 9217716 relations
Pruned matrix : 7838960 x 7839185
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 43.99 hours.
Total relation processing time: 0.40 hours.
Matrix solve time: 47.34 hours.
time per square root: 1.31 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: 93.04 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

144506023505384262205735630149242664466583447389207691951909547922294879428567845438086988034845847716576899821346776169387007382153715607787011483433960201187578710649472904295367819<183>

2869563463690514618115784705827330224391558317552411<52>
50358190482233358271572862824852721744339248600257976948223077202894532118146847889829253518919465155030928128666176123050253998929<131>

Number: 32229_220
N = 144506023505384262205735630149242664466583447389207691951909547922294879428567845438086988034845847716576899821346776169387007382153715607787011483433960201187578710649472904295367819 (183 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=2869563463690514618115784705827330224391558317552411 (pp52)
r2=50358190482233358271572862824852721744339248600257976948223077202894532118146847889829253518919465155030928128666176123050253998929 (pp131)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 37.59 hours.
Factorization parameters were as follows:
n: 144506023505384262205735630149242664466583447389207691951909547922294879428567845438086988034845847716576899821346776169387007382153715607787011483433960201187578710649472904295367819
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 29
c0: 61
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 31822206
Relations: 7885720 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 19.41 hours.
Total relation processing time: 0.25 hours.
Pruned matrix : 6908105 x 6908331
Matrix solve time: 17.78 hours.
time per square root: 0.15 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 37.59 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

54362788181100195944296430506147982381635212385543765635241673964542928671378574454315845726047925645442682454625128750062524236079150712430244036861877009219360878107045874932980758034305989902517004403642659978799<215>

6358740769863677707579506993699166774309<40>

8549300899125292733306027262936654616048746382320471822765318327062983032569281502210691768132472590813514382424139006580254410681158703530049601847164938264956258297603964611<175>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=407264291
Step 1 took 21300ms
********** Factor found in step 1: 6358740769863677707579506993699166774309
Found probable prime factor of 40 digits: 6358740769863677707579506993699166774309
Composite cofactor

8549300899125292733306027262936654616048746382320471822765318327062983032569281502210691768132472590813514382424139006580254410681158703530049601847164938264956258297603964611<175>

14294579779233435256513623146295825322984243709<47>
598079903792999761853892362021696277438584960324733857796049367866048121151196898261637226663335978824999639597701493960970092479<129>

Number: 32229_222
N = 8549300899125292733306027262936654616048746382320471822765318327062983032569281502210691768132472590813514382424139006580254410681158703530049601847164938264956258297603964611 (175 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=14294579779233435256513623146295825322984243709 (pp47)
r2=598079903792999761853892362021696277438584960324733857796049367866048121151196898261637226663335978824999639597701493960970092479 (pp129)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 82.69 hours.
Factorization parameters were as follows:
n: 8549300899125292733306027262936654616048746382320471822765318327062983032569281502210691768132472590813514382424139006580254410681158703530049601847164938264956258297603964611
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 2900
c0: 61
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 10000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/10000000
Large primes per side: 3
Large prime bits: 29/29
Total raw relations: 50757065
Relations: 10777954 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 39.75 hours.
Total relation processing time: 0.49 hours.
Pruned matrix : 8851809 x 8852034
Matrix solve time: 42.17 hours.
time per square root: 0.28 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,10000000,29,29,58,58,2.8,2.8,100000
total time: 82.69 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

244320670669441765407393818559620850665227386658588623726481142624312559697489580666778001210275977828823559868625758847993693745978514922703724405124561133347481508554208389722843029<183>

20653063673051407953295399196341<32>
11829754390784985110822608776643589130721102777901247068806333085571593829528068122244902773084369202194432402149690260245833441724826213149060287625569<152>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1268000069
Step 1 took 10437ms
Step 2 took 6365ms
********** Factor found in step 2: 20653063673051407953295399196341
Found probable prime factor of 32 digits: 20653063673051407953295399196341
Probable prime cofactor 11829754390784985110822608776643589130721102777901247068806333085571593829528068122244902773084369202194432402149690260245833441724826213149060287625569 has 152 digits

GMP-ECM 6.3

744492570970853894221920930090563034150660613228643426167307390811238888966576716536824588918598137181603610926861136656611473847117729072185554042199926956714320974375337991316050193614423019963670003861653608823<213>

1318076964800092349417352192267347<34>
564832396630016375109926741442724751604086272021545261379613344089827541475690866872815553436261431433679845305924283685007728519325752735811539556497413597809271907599824575644109<180>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=715143844
Step 1 took 12964ms
Step 2 took 7285ms
********** Factor found in step 2: 1318076964800092349417352192267347
Found probable prime factor of 34 digits: 1318076964800092349417352192267347
Probable prime cofactor 564832396630016375109926741442724751604086272021545261379613344089827541475690866872815553436261431433679845305924283685007728519325752735811539556497413597809271907599824575644109 has 180 digits

GMP-ECM 6.3

373301275021267545349899285236637373904020499067957797955545959560578606839943427944091345927159391472810023598993064934084997275541652634864017937324098555254065253922387305916594058089748964181574397480321989<210>

21012161696379620719078297562410763020285748587892291138332570913929474547609555261142275287862737047453222061031336377865287736222821879320364681765948242012532077681387072665196822047832539762711430229940437859182539611<221>

566490275735523810802959289325065778793338502389821219904155977811842634062469238338636885050980883265943642770960262038973234627480075983411934841396507912019204476070503977819223772223737<189>

98022289165855893012101090944006336508490980655430244710492756307421995523259956397832103108572867780903375682648576034241737704059965735587473543860951579969662250740324826301106742135388893480531<197>

426039281766818341115565418330029034711<39>
230078054679253439064600278124067488278946296889442211780754945460142653982297421488000717545156377759915256499613579041611317325207026403976995162075303675621<159>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=241782513
Step 1 took 10904ms
Step 2 took 6084ms
********** Factor found in step 2: 426039281766818341115565418330029034711
Found probable prime factor of 39 digits: 426039281766818341115565418330029034711
Probable prime cofactor 230078054679253439064600278124067488278946296889442211780754945460142653982297421488000717545156377759915256499613579041611317325207026403976995162075303675621 has 159 digits

GMP-ECM 6.3

133256622759369270260466919335868658311439543438804080900122911511455312846636603181413742569747542058760563045100714018015154044063585293020479592056595281365224181567712987208024230710709180289648802408023<207>

1826339018852023662700772117001572749326996118312274545493697811957120529842462383069990455810494030265486898767439504253448164436929978849098547746412678606186704407244551077704171214164229947828982221374977253656013782944773<226>

189542483660130718954248366013071895424836601307189542483660130718954248366013071895424836601307189542483660130718954248366013071895424836601307189542483660130718954248366013071895424836601307189542483660130718954248366013071895424837<234>

537025939589628766629534151245348915727<39>

352948469872741376053722753229416268707870488462773365832212156710484336091881358278968155617765391407373158214519406487761987236584884669924514413696319685178159678909587918945724676450904429931<195>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1957866823
Step 1 took 136811ms
Step 2 took 40167ms
********** Factor found in step 2: 537025939589628766629534151245348915727
Found probable prime factor of 39 digits: 537025939589628766629534151245348915727

826210826210826210826210826210826210826210826210826210826210826210826210826210826210826210826210826210826210826210826210826210826210826210826210826210826210826210826210826210826210826210826210826210826210826210826210826210826210826211<234>