654818767727904256865639176292309801451437776014272230779785284420421232481315337991338587<90>

7516248271660755869850274614285353<34>
87120428179153067595948563227353363024319865790575626979<56>

un Dec 14 09:26:56 2008  Msieve v. 1.39
Sun Dec 14 09:26:56 2008  random seeds: 2832f164 98fb12c3
Sun Dec 14 09:26:56 2008  factoring 654818767727904256865639176292309801451437776014272230779785284420421232481315337991338587 (90 digits)
Sun Dec 14 09:26:57 2008  searching for 15-digit factors
Sun Dec 14 09:26:59 2008  commencing quadratic sieve (90-digit input)
Sun Dec 14 09:26:59 2008  using multiplier of 3
Sun Dec 14 09:26:59 2008  using 32kb Intel Core sieve core
Sun Dec 14 09:26:59 2008  sieve interval: 36 blocks of size 32768
Sun Dec 14 09:26:59 2008  processing polynomials in batches of 6
Sun Dec 14 09:26:59 2008  using a sieve bound of 1613867 (61176 primes)
Sun Dec 14 09:26:59 2008  using large prime bound of 135564828 (27 bits)
Sun Dec 14 09:26:59 2008  using double large prime bound of 434374788405180 (42-49 bits)
Sun Dec 14 09:26:59 2008  using trial factoring cutoff of 49 bits
Sun Dec 14 09:26:59 2008  polynomial 'A' values have 12 factors
Sun Dec 14 10:29:25 2008  61573 relations (17144 full + 44429 combined from 653984 partial), need 61272
Sun Dec 14 10:29:26 2008  begin with 671128 relations
Sun Dec 14 10:29:26 2008  reduce to 146946 relations in 11 passes
Sun Dec 14 10:29:26 2008  attempting to read 146946 relations
Sun Dec 14 10:29:28 2008  recovered 146946 relations
Sun Dec 14 10:29:28 2008  recovered 120493 polynomials
Sun Dec 14 10:29:28 2008  attempting to build 61573 cycles
Sun Dec 14 10:29:29 2008  found 61573 cycles in 5 passes
Sun Dec 14 10:29:29 2008  distribution of cycle lengths:
Sun Dec 14 10:29:29 2008     length 1 : 17144
Sun Dec 14 10:29:29 2008     length 2 : 12393
Sun Dec 14 10:29:29 2008     length 3 : 10791
Sun Dec 14 10:29:29 2008     length 4 : 8064
Sun Dec 14 10:29:29 2008     length 5 : 5463
Sun Dec 14 10:29:29 2008     length 6 : 3441
Sun Dec 14 10:29:29 2008     length 7 : 1974
Sun Dec 14 10:29:29 2008     length 9+: 2303
Sun Dec 14 10:29:29 2008  largest cycle: 18 relations
Sun Dec 14 10:29:29 2008  matrix is 61176 x 61573 (14.7 MB) with weight 3596232 (58.41/col)
Sun Dec 14 10:29:29 2008  sparse part has weight 3596232 (58.41/col)
Sun Dec 14 10:29:30 2008  filtering completed in 3 passes
Sun Dec 14 10:29:30 2008  matrix is 56580 x 56644 (13.5 MB) with weight 3322339 (58.65/col)
Sun Dec 14 10:29:30 2008  sparse part has weight 3322339 (58.65/col)
Sun Dec 14 10:29:30 2008  saving the first 48 matrix rows for later
Sun Dec 14 10:29:30 2008  matrix is 56532 x 56644 (8.3 MB) with weight 2561002 (45.21/col)
Sun Dec 14 10:29:30 2008  sparse part has weight 1840625 (32.49/col)
Sun Dec 14 10:29:30 2008  matrix includes 64 packed rows
Sun Dec 14 10:29:30 2008  using block size 22657 for processor cache size 1024 kB
Sun Dec 14 10:29:30 2008  commencing Lanczos iteration
Sun Dec 14 10:29:30 2008  memory use: 8.3 MB
Sun Dec 14 10:29:48 2008  lanczos halted after 895 iterations (dim = 56529)
Sun Dec 14 10:29:48 2008  recovered 16 nontrivial dependencies
Sun Dec 14 10:29:49 2008  prp34 factor: 7516248271660755869850274614285353
Sun Dec 14 10:29:49 2008  prp56 factor: 87120428179153067595948563227353363024319865790575626979
Sun Dec 14 10:29:49 2008  elapsed time 01:02:53

58974379084699647746013481661671328339377519785913665155065638330419588046029182450067<86>

35314393767842084307850317582733171637<38>
1669981352997280313025282068382464491328210820391<49>

Sun Dec 14 06:13:22 2008  Msieve v. 1.39
Sun Dec 14 06:13:22 2008  random seeds: 1925d00c b04ad9d7
Sun Dec 14 06:13:22 2008  factoring 58974379084699647746013481661671328339377519785913665155065638330419588046029182450067 (86 digits)
Sun Dec 14 06:13:22 2008  searching for 15-digit factors
Sun Dec 14 06:13:24 2008  commencing quadratic sieve (86-digit input)
Sun Dec 14 06:13:24 2008  using multiplier of 23
Sun Dec 14 06:13:24 2008  using 32kb Intel Core sieve core
Sun Dec 14 06:13:24 2008  sieve interval: 16 blocks of size 32768
Sun Dec 14 06:13:24 2008  processing polynomials in batches of 13
Sun Dec 14 06:13:24 2008  using a sieve bound of 1452827 (55667 primes)
Sun Dec 14 06:13:24 2008  using large prime bound of 116226160 (26 bits)
Sun Dec 14 06:13:24 2008  using double large prime bound of 329266038078320 (41-49 bits)
Sun Dec 14 06:13:24 2008  using trial factoring cutoff of 49 bits
Sun Dec 14 06:13:24 2008  polynomial 'A' values have 11 factors
Sun Dec 14 06:55:41 2008  55968 relations (15882 full + 40086 combined from 584002 partial), need 55763
Sun Dec 14 06:55:41 2008  begin with 599884 relations
Sun Dec 14 06:55:42 2008  reduce to 133031 relations in 9 passes
Sun Dec 14 06:55:42 2008  attempting to read 133031 relations
Sun Dec 14 06:55:43 2008  recovered 133031 relations
Sun Dec 14 06:55:43 2008  recovered 113790 polynomials
Sun Dec 14 06:55:44 2008  attempting to build 55968 cycles
Sun Dec 14 06:55:44 2008  found 55968 cycles in 5 passes
Sun Dec 14 06:55:44 2008  distribution of cycle lengths:
Sun Dec 14 06:55:44 2008     length 1 : 15882
Sun Dec 14 06:55:44 2008     length 2 : 10993
Sun Dec 14 06:55:44 2008     length 3 : 9934
Sun Dec 14 06:55:44 2008     length 4 : 7402
Sun Dec 14 06:55:44 2008     length 5 : 4990
Sun Dec 14 06:55:44 2008     length 6 : 3014
Sun Dec 14 06:55:44 2008     length 7 : 1771
Sun Dec 14 06:55:44 2008     length 9+: 1982
Sun Dec 14 06:55:44 2008  largest cycle: 18 relations
Sun Dec 14 06:55:44 2008  matrix is 55667 x 55968 (12.8 MB) with weight 3143787 (56.17/col)
Sun Dec 14 06:55:44 2008  sparse part has weight 3143787 (56.17/col)
Sun Dec 14 06:55:44 2008  filtering completed in 3 passes
Sun Dec 14 06:55:44 2008  matrix is 51132 x 51196 (11.9 MB) with weight 2902891 (56.70/col)
Sun Dec 14 06:55:44 2008  sparse part has weight 2902891 (56.70/col)
Sun Dec 14 06:55:44 2008  saving the first 48 matrix rows for later
Sun Dec 14 06:55:45 2008  matrix is 51084 x 51196 (7.8 MB) with weight 2292166 (44.77/col)
Sun Dec 14 06:55:45 2008  sparse part has weight 1727978 (33.75/col)
Sun Dec 14 06:55:45 2008  matrix includes 64 packed rows
Sun Dec 14 06:55:45 2008  using block size 20478 for processor cache size 1024 kB
Sun Dec 14 06:55:45 2008  commencing Lanczos iteration
Sun Dec 14 06:55:45 2008  memory use: 7.5 MB
Sun Dec 14 06:56:00 2008  lanczos halted after 809 iterations (dim = 51081)
Sun Dec 14 06:56:00 2008  recovered 15 nontrivial dependencies
Sun Dec 14 06:56:01 2008  prp38 factor: 35314393767842084307850317582733171637
Sun Dec 14 06:56:01 2008  prp49 factor: 1669981352997280313025282068382464491328210820391
Sun Dec 14 06:56:01 2008  elapsed time 00:42:39

106295109525762645146331162528641145440696794895053832870935242692275859021773001852321561322323803<99>

22837832423823428406549535979434663<35>
4654343177283332444580397105529579718882636552190002130060404781<64>

SNFS difficulty: 105 digits.
Divisors found:
 r1=22837832423823428406549535979434663 (pp35)
 r2=4654343177283332444580397105529579718882636552190002130060404781 (pp64)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.314).
Factorization parameters were as follows:
n: 106295109525762645146331162528641145440696794895053832870935242692275859021773001852321561322323803
m: 100000000000000000000000000
deg: 4
c4: 37
c0: 53
skew: 1.09
type: snfs
lss: 1
rlim: 400000
alim: 400000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 400000/400000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [200000, 250001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 42219 x 42456
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,105,4,0,0,0,0,0,0,0,0,400000,400000,25,25,45,45,2.2,2.2,50000
total time: 0.50 hours.

Msieve-1.39

Opteron-2.2GHz; Linux x86_64

67282049847742334963616862975582700215581962408551703345462075578114834596968610334356334267223<95>

204636041354677447482853109425426041565256449<45>
328788855581546082125121238993357453012048109411927<51>

Sun Dec 14 08:15:04 2008  Msieve v. 1.39
Sun Dec 14 08:15:04 2008  random seeds: 868f8b33 3eb24c1e
Sun Dec 14 08:15:04 2008  factoring 67282049847742334963616862975582700215581962408551703345462075578114834596968610334356334267223 (95 digits)
Sun Dec 14 08:15:05 2008  searching for 15-digit factors
Sun Dec 14 08:15:06 2008  commencing quadratic sieve (95-digit input)
Sun Dec 14 08:15:06 2008  using multiplier of 3
Sun Dec 14 08:15:06 2008  using 32kb Intel Core sieve core
Sun Dec 14 08:15:06 2008  sieve interval: 36 blocks of size 32768
Sun Dec 14 08:15:06 2008  processing polynomials in batches of 6
Sun Dec 14 08:15:06 2008  using a sieve bound of 2196599 (80826 primes)
Sun Dec 14 08:15:06 2008  using large prime bound of 329489850 (28 bits)
Sun Dec 14 08:15:06 2008  using double large prime bound of 2148402323041500 (43-51 bits)
Sun Dec 14 08:15:06 2008  using trial factoring cutoff of 51 bits
Sun Dec 14 08:15:06 2008  polynomial 'A' values have 12 factors
Sun Dec 14 13:22:18 2008  81008 relations (19048 full + 61960 combined from 1237185 partial), need 80922
Sun Dec 14 13:22:23 2008  begin with 1256233 relations
Sun Dec 14 13:22:23 2008  reduce to 215120 relations in 13 passes
Sun Dec 14 13:22:23 2008  attempting to read 215120 relations
Sun Dec 14 13:22:29 2008  recovered 215120 relations
Sun Dec 14 13:22:29 2008  recovered 202169 polynomials
Sun Dec 14 13:22:29 2008  attempting to build 81008 cycles
Sun Dec 14 13:22:29 2008  found 81008 cycles in 6 passes
Sun Dec 14 13:22:29 2008  distribution of cycle lengths:
Sun Dec 14 13:22:29 2008     length 1 : 19048
Sun Dec 14 13:22:29 2008     length 2 : 13883
Sun Dec 14 13:22:29 2008     length 3 : 13540
Sun Dec 14 13:22:29 2008     length 4 : 11060
Sun Dec 14 13:22:29 2008     length 5 : 8465
Sun Dec 14 13:22:29 2008     length 6 : 5764
Sun Dec 14 13:22:29 2008     length 7 : 3725
Sun Dec 14 13:22:29 2008     length 9+: 5523
Sun Dec 14 13:22:29 2008  largest cycle: 20 relations
Sun Dec 14 13:22:30 2008  matrix is 80826 x 81008 (22.2 MB) with weight 5506807 (67.98/col)
Sun Dec 14 13:22:30 2008  sparse part has weight 5506807 (67.98/col)
Sun Dec 14 13:22:30 2008  filtering completed in 3 passes
Sun Dec 14 13:22:30 2008  matrix is 77469 x 77533 (21.4 MB) with weight 5302804 (68.39/col)
Sun Dec 14 13:22:30 2008  sparse part has weight 5302804 (68.39/col)
Sun Dec 14 13:22:31 2008  saving the first 48 matrix rows for later
Sun Dec 14 13:22:31 2008  matrix is 77421 x 77533 (14.7 MB) with weight 4320453 (55.72/col)
Sun Dec 14 13:22:31 2008  sparse part has weight 3383624 (43.64/col)
Sun Dec 14 13:22:31 2008  matrix includes 64 packed rows
Sun Dec 14 13:22:31 2008  using block size 31013 for processor cache size 2048 kB
Sun Dec 14 13:22:31 2008  commencing Lanczos iteration
Sun Dec 14 13:22:31 2008  memory use: 13.5 MB
Sun Dec 14 13:23:10 2008  lanczos halted after 1226 iterations (dim = 77418)
Sun Dec 14 13:23:10 2008  recovered 15 nontrivial dependencies
Sun Dec 14 13:23:11 2008  prp45 factor: 204636041354677447482853109425426041565256449
Sun Dec 14 13:23:11 2008  prp51 factor: 328788855581546082125121238993357453012048109411927
Sun Dec 14 13:23:11 2008  elapsed time 05:08:07

272259013980868285504047093451066961000735835172921265636497424576894775570272259013980868285504047093451067<108>

345934149021961984853714355585332061497<39>
787025550240151752957429692905459301021394747512814523416460876641811<69>

SNFS difficulty: 111 digits.
Divisors found:
 r1=345934149021961984853714355585332061497 (pp39)
 r2=787025550240151752957429692905459301021394747512814523416460876641811 (pp69)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.314).
Factorization parameters were as follows:
n: 272259013980868285504047093451066961000735835172921265636497424576894775570272259013980868285504047093451067
m: 10000000000000000000000
deg: 5
c5: 37
c0: 530
skew: 1.70
type: snfs
lss: 1
rlim: 510000
alim: 510000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 510000/510000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [255000, 405001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 63238 x 63485
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,111,5,0,0,0,0,0,0,0,0,510000,510000,25,25,44,44,2.2,2.2,50000
total time: 0.50 hours.

Msieve-1.39

Opteron-2.2GHz; Linux x86_64

606533024695898574009227118833783263053547057691046747729156244319271051590022715738503294809621<96>

1809172218365498113906379744251961009<37>
335254443186106734337422576507034330357097141008436045500069<60>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1919125461
Step 1 took 6853ms
Step 2 took 4585ms
********** Factor found in step 2: 1809172218365498113906379744251961009
Found probable prime factor of 37 digits: 1809172218365498113906379744251961009
Probable prime cofactor 335254443186106734337422576507034330357097141008436045500069 has 60 digits

GMP-ECM 6.2.1

4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111117<115>

337537008280418766192929438347918809616735002757194727<54>
12179734400251853325768968702888321780028003904068045443286571<62>

Number: 41117_114
N=4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111117
  ( 115 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=337537008280418766192929438347918809616735002757194727 (prp54)
 r2=12179734400251853325768968702888321780028003904068045443286571 (prp62)
Version: 
Total time: 1.79 hours.
Scaled time: 3.50 units (timescale=1.960).
Factorization parameters were as follows:
name: 41117_114
n: 4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111117
m: 100000000000000000000000
deg: 5
c5: 37
c0: 530
skew: 1.70
type: snfs
lss: 1
rlim: 610000
alim: 610000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 610000/610000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [305000, 555001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 79057 x 79305
Total sieving time: 1.79 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,116,5,0,0,0,0,0,0,0,0,610000,610000,25,25,45,45,2.2,2.2,50000
total time: 1.79 hours.
 --------- CPU info (if available) ----------

8275280781677460242495252428407518810499554171453232349711921873570895749085623666102478562668393<97>

581119780975231635970058042786794126786889<42>
14240232483206706578295465829097659023799330370860981537<56>

Sun Dec 14 17:44:52 2008  Msieve v. 1.39
Sun Dec 14 17:44:52 2008  random seeds: 558fa890 5a21134c
Sun Dec 14 17:44:52 2008  factoring 8275280781677460242495252428407518810499554171453232349711921873570895749085623666102478562668393 (97 digits)
Sun Dec 14 17:44:53 2008  searching for 15-digit factors
Sun Dec 14 17:44:55 2008  commencing quadratic sieve (97-digit input)
Sun Dec 14 17:44:55 2008  using multiplier of 1
Sun Dec 14 17:44:55 2008  using 32kb Intel Core sieve core
Sun Dec 14 17:44:55 2008  sieve interval: 36 blocks of size 32768
Sun Dec 14 17:44:55 2008  processing polynomials in batches of 6
Sun Dec 14 17:44:55 2008  using a sieve bound of 2404009 (88075 primes)
Sun Dec 14 17:44:55 2008  using large prime bound of 360601350 (28 bits)
Sun Dec 14 17:44:55 2008  using double large prime bound of 2527255810204800 (43-52 bits)
Sun Dec 14 17:44:55 2008  using trial factoring cutoff of 52 bits
Sun Dec 14 17:44:55 2008  polynomial 'A' values have 13 factors
Mon Dec 15 00:37:14 2008  88421 relations (20973 full + 67448 combined from 1337165 partial), need 88171
Mon Dec 15 00:37:16 2008  begin with 1358138 relations
Mon Dec 15 00:37:17 2008  reduce to 233452 relations in 11 passes
Mon Dec 15 00:37:17 2008  attempting to read 233452 relations
Mon Dec 15 00:37:21 2008  recovered 233452 relations
Mon Dec 15 00:37:21 2008  recovered 221954 polynomials
Mon Dec 15 00:37:21 2008  attempting to build 88421 cycles
Mon Dec 15 00:37:21 2008  found 88421 cycles in 7 passes
Mon Dec 15 00:37:21 2008  distribution of cycle lengths:
Mon Dec 15 00:37:21 2008     length 1 : 20973
Mon Dec 15 00:37:21 2008     length 2 : 15237
Mon Dec 15 00:37:21 2008     length 3 : 14842
Mon Dec 15 00:37:21 2008     length 4 : 12145
Mon Dec 15 00:37:21 2008     length 5 : 9070
Mon Dec 15 00:37:21 2008     length 6 : 6180
Mon Dec 15 00:37:21 2008     length 7 : 4123
Mon Dec 15 00:37:21 2008     length 9+: 5851
Mon Dec 15 00:37:21 2008  largest cycle: 21 relations
Mon Dec 15 00:37:22 2008  matrix is 88075 x 88421 (23.7 MB) with weight 5862504 (66.30/col)
Mon Dec 15 00:37:22 2008  sparse part has weight 5862504 (66.30/col)
Mon Dec 15 00:37:23 2008  filtering completed in 3 passes
Mon Dec 15 00:37:23 2008  matrix is 84357 x 84421 (22.7 MB) with weight 5613631 (66.50/col)
Mon Dec 15 00:37:23 2008  sparse part has weight 5613631 (66.50/col)
Mon Dec 15 00:37:23 2008  saving the first 48 matrix rows for later
Mon Dec 15 00:37:23 2008  matrix is 84309 x 84421 (13.9 MB) with weight 4399038 (52.11/col)
Mon Dec 15 00:37:23 2008  sparse part has weight 3132727 (37.11/col)
Mon Dec 15 00:37:23 2008  matrix includes 64 packed rows
Mon Dec 15 00:37:23 2008  using block size 33768 for processor cache size 1024 kB
Mon Dec 15 00:37:24 2008  commencing Lanczos iteration
Mon Dec 15 00:37:24 2008  memory use: 13.6 MB
Mon Dec 15 00:38:11 2008  lanczos halted after 1334 iterations (dim = 84309)
Mon Dec 15 00:38:11 2008  recovered 17 nontrivial dependencies
Mon Dec 15 00:38:12 2008  prp42 factor: 581119780975231635970058042786794126786889
Mon Dec 15 00:38:12 2008  prp56 factor: 14240232483206706578295465829097659023799330370860981537
Mon Dec 15 00:38:12 2008  elapsed time 06:53:20

23691943327258839247481664570054627580787232775552733193324809100671477449073888934217058100029844017<101>

195169974164679173582454440992292441<36>
121391333009391162020765580291934643735513437889339216293015715737<66>

GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Input number is 23691943327258839247481664570054627580787232775552733193324809100671477449073888934217058100029844017 (101 digits)
Using B1=1752000, B2=2140281790, polynomial Dickson(6), sigma=1759735969
Step 1 took 16760ms
Step 2 took 5941ms
********** Factor found in step 2: 195169974164679173582454440992292441
Found probable prime factor of 36 digits: 195169974164679173582454440992292441
Probable prime cofactor 121391333009391162020765580291934643735513437889339216293015715737 has 66 digits

175463772921917449710505877754228168319589943628658828092920435587014218289519483874355248289087131653347377643408568927<120>

2385657431444900902593170998853579105307250401833124431<55>
73549442015086715345246777178084396489992122857979924708529445617<65>

Number: 41117_126
N=175463772921917449710505877754228168319589943628658828092920435587014218289519483874355248289087131653347377643408568927
  ( 120 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=2385657431444900902593170998853579105307250401833124431 (prp55)
 r2=73549442015086715345246777178084396489992122857979924708529445617 (prp65)
Version: 
Total time: 4.07 hours.
Scaled time: 7.96 units (timescale=1.955).
Factorization parameters were as follows:
name: 41117_126
n: 175463772921917449710505877754228168319589943628658828092920435587014218289519483874355248289087131653347377643408568927
m: 10000000000000000000000000
deg: 5
c5: 370
c0: 53
skew: 0.68
type: snfs
lss: 1
rlim: 940000
alim: 940000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 940000/940000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [470000, 970001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 156346 x 156594
Total sieving time: 4.07 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,127,5,0,0,0,0,0,0,0,0,940000,940000,26,26,46,46,2.3,2.3,50000
total time: 4.07 hours.
 --------- CPU info (if available) ----------

4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111117<130>

145844390655749562788875940659676939529907563875789<51>
28188338904407774606901579652067711359624010893822103546405700927331945019978753<80>

Number: 41117_129
N=4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111117
  ( 130 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=145844390655749562788875940659676939529907563875789 (prp51)
 r2=28188338904407774606901579652067711359624010893822103546405700927331945019978753 (prp80)
Version: 
Total time: 3.90 hours.
Scaled time: 10.05 units (timescale=2.575).
Factorization parameters were as follows:
name: 41117_129
n: 4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111117
m: 100000000000000000000000000
deg: 5
c5: 37
c0: 530
skew: 1.70
type: snfs
lss: 1
rlim: 1090000
alim: 1090000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1090000/1090000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [545000, 1145001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 168454 x 168702
Total sieving time: 3.90 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,1090000,1090000,26,26,47,47,2.3,2.3,50000
total time: 3.90 hours.
 --------- CPU info (if available) ----------

215278536561205887322108876493270186092609401846280407032882268561731174025745829832628911912346191386897980147<111>

7972700383759441503881272449579513196474094885429<49>
27001959963243168853430820841180310949496723141495794009982343<62>

Number: n
N=215278536561205887322108876493270186092609401846280407032882268561731174025745829832628911912346191386897980147
  ( 111 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=7972700383759441503881272449579513196474094885429 (pp49)
 r2=27001959963243168853430820841180310949496723141495794009982343 (pp62)
Version: GGNFS-0.77.1-20051202-k8
Total time: 4.34 hours.
Scaled time: 8.72 units (timescale=2.010).
Factorization parameters were as follows:
name: KA_4_1_130_7
n: 215278536561205887322108876493270186092609401846280407032882268561731174025745829832628911912346191386897980147
type: snfs
skew: 0.68
deg: 5
c5: 370
c0: 53
m: 100000000000000000000000000
rlim: 900000
alim: 900000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 900000/900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [100000, 750001)
Primes: RFBsize:71274, AFBsize:70980, largePrimes:7870308 encountered
Relations: rels:7124914, finalFF:201480
Max relations in full relation-set: 28
Initial matrix: 142321 x 201480 with sparse part having weight 21993173.
Pruned matrix : 129753 x 130528 with weight 11883302.
Total sieving time: 4.11 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,132,5,0,0,0,0,0,0,0,0,900000,900000,28,28,56,56,2.5,2.5,50000
total time: 4.34 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: 3321556k/3407296k available (2912k kernel code, 84428k reserved, 1794k data, 1544k init, 2502088k highmem)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.98 BogoMIPS (lpj=2830490)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830449)
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 (22643.71 BogoMIPS).

4729935422500116718064396636980444964561669604357575301759814799561788866631089047160305436659907770586955635915817<115>

13869327544356415887390661584931<32>
341035670790310249149005077592957449976141974679492733387937361436382697840615082307<84>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3785622199
Step 1 took 6436ms
Step 2 took 4048ms
********** Factor found in step 2: 13869327544356415887390661584931
Found probable prime factor of 32 digits: 13869327544356415887390661584931
Probable prime cofactor 341035670790310249149005077592957449976141974679492733387937361436382697840615082307 has 84 digits

GMP-ECM 6.2.1

1828111751046823473729867845947611785538650552102639379539486366668748152605479610053566238562881946543093275407<112>

26997291767926798159853751308242719224871556251223<50>
67714634740461212531416188452742326805525020387462321160332809<62>

Number: n
N=1828111751046823473729867845947611785538650552102639379539486366668748152605479610053566238562881946543093275407
  ( 112 digits)
SNFS difficulty: 136 digits.
Divisors found:

Mon Dec 15 05:57:05 2008  prp50 factor: 26997291767926798159853751308242719224871556251223
Mon Dec 15 05:57:05 2008  prp62 factor: 67714634740461212531416188452742326805525020387462321160332809
Mon Dec 15 05:57:05 2008  elapsed time 00:12:49 (Msieve 1.39 - dependency 4)

Version: GGNFS-0.77.1-20050930-k8
Total time: 4.50 hours.
Scaled time: 9.05 units (timescale=2.012).
Factorization parameters were as follows:
name: KA_4_1_133_7
n: 1828111751046823473729867845947611785538650552102639379539486366668748152605479610053566238562881946543093275407
type: snfs
skew: 1.70
deg: 5
c5: 37
c0: 530
m: 1000000000000000000000000000
rlim: 1000000
alim: 1000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 800001)
Primes: RFBsize:78498, AFBsize:78716, largePrimes:7741734 encountered
Relations: rels:6703606, finalFF:108763
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 4.37 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,1000000,1000000,28,28,56,56,2.5,2.5,75000
total time: 4.50 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: 3321556k/3407296k available (2912k kernel code, 84428k reserved, 1794k data, 1544k init, 2502088k highmem)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.98 BogoMIPS (lpj=2830490)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830449)
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 (22643.71 BogoMIPS).

2431593164795021863019909687564068078352019780269255567935109822583356900993305863658209861643608160856750225261561<115>

19452637518709047440619598197258467357591<41>
125000692705880011030652701485196569731361764165251859204813732182028498671<75>

Number: 41117_137
N=2431593164795021863019909687564068078352019780269255567935109822583356900993305863658209861643608160856750225261561
  ( 115 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=19452637518709047440619598197258467357591 (prp41)
 r2=125000692705880011030652701485196569731361764165251859204813732182028498671
 (prp75)
Version: 
Total time: 8.30 hours.
Scaled time: 16.37 units (timescale=1.972).
Factorization parameters were as follows:
name: 41117_137
n: 2431593164795021863019909687564068078352019780269255567935109822583356900993305863658209861643608160856750225261561
m: 2000000000000000000000000000
deg: 5
c5: 925
c0: 424
skew: 0.86
type: snfs
lss: 1
rlim: 1480000
alim: 1480000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1480000/1480000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [740000, 1640001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 247956 x 248204
Total sieving time: 8.30 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,139,5,0,0,0,0,0,0,0,0,1480000,1480000,26,26,48,48,2.3,2.3,75000
total time: 8.30 hours.
 --------- CPU info (if available) ----------

95607235142118863049095607235142118863049095607235142118863049095607235142118863049095607235142118863049095607235142118863049095607235142119<140>

2344853697342225768244701403474970076911147<43>
40773219775069496196274797925205475166939330156666714576604063888238857689344930254975648637575477<98>

Number: 41117_141
N=95607235142118863049095607235142118863049095607235142118863049095607235142118863049095607235142118863049095607235142118863049095607235142119
  ( 140 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=2344853697342225768244701403474970076911147 (prp43)
 r2=40773219775069496196274797925205475166939330156666714576604063888238857689344930254975648637575477 (prp98)
Version: 
Total time: 10.54 hours.
Scaled time: 26.09 units (timescale=2.475).
Factorization parameters were as follows:
name: 41117_141
n: 95607235142118863049095607235142118863049095607235142118863049095607235142118863049095607235142118863049095607235142118863049095607235142119
m: 10000000000000000000000000000
deg: 5
c5: 370
c0: 53
skew: 0.68
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, 2330001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 306636 x 306884
Total sieving time: 10.54 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,142,5,0,0,0,0,0,0,0,0,1660000,1660000,26,26,48,48,2.3,2.3,100000
total time: 10.54 hours.
 --------- CPU info (if available) ----------

1854765310835194710428440106540308919972924293904205223172756617211856527940960640436712351419<94>

16862793440103708198532263801272697174262183<44>
109991581016708918525866831687260181943473154034893<51>

Sun Dec 14 18:57:25 2008  
Sun Dec 14 18:57:25 2008  
Sun Dec 14 18:57:25 2008  Msieve v. 1.39
Sun Dec 14 18:57:25 2008  random seeds: 0a9bc040 124024ef
Sun Dec 14 18:57:25 2008  factoring 1854765310835194710428440106540308919972924293904205223172756617211856527940960640436712351419 (94 digits)
Sun Dec 14 18:57:26 2008  searching for 15-digit factors
Sun Dec 14 18:57:26 2008  commencing quadratic sieve (94-digit input)
Sun Dec 14 18:57:27 2008  using multiplier of 11
Sun Dec 14 18:57:27 2008  using 64kb Opteron sieve core
Sun Dec 14 18:57:27 2008  sieve interval: 18 blocks of size 65536
Sun Dec 14 18:57:27 2008  processing polynomials in batches of 6
Sun Dec 14 18:57:27 2008  using a sieve bound of 1991609 (73982 primes)
Sun Dec 14 18:57:27 2008  using large prime bound of 256917561 (27 bits)
Sun Dec 14 18:57:27 2008  using double large prime bound of 1372868018887893 (42-51 bits)
Sun Dec 14 18:57:27 2008  using trial factoring cutoff of 51 bits
Sun Dec 14 18:57:27 2008  polynomial 'A' values have 12 factors
Sun Dec 14 21:16:14 2008  74176 relations (17786 full + 56390 combined from 1040543 partial), need 74078
Sun Dec 14 21:16:16 2008  begin with 1058329 relations
Sun Dec 14 21:16:17 2008  reduce to 194080 relations in 12 passes
Sun Dec 14 21:16:17 2008  attempting to read 194080 relations
Sun Dec 14 21:16:20 2008  recovered 194080 relations
Sun Dec 14 21:16:20 2008  recovered 179104 polynomials
Sun Dec 14 21:16:20 2008  attempting to build 74176 cycles
Sun Dec 14 21:16:20 2008  found 74176 cycles in 5 passes
Sun Dec 14 21:16:21 2008  distribution of cycle lengths:
Sun Dec 14 21:16:21 2008     length 1 : 17786
Sun Dec 14 21:16:21 2008     length 2 : 12925
Sun Dec 14 21:16:21 2008     length 3 : 12410
Sun Dec 14 21:16:21 2008     length 4 : 10031
Sun Dec 14 21:16:21 2008     length 5 : 7751
Sun Dec 14 21:16:21 2008     length 6 : 5177
Sun Dec 14 21:16:21 2008     length 7 : 3373
Sun Dec 14 21:16:21 2008     length 9+: 4723
Sun Dec 14 21:16:21 2008  largest cycle: 20 relations
Sun Dec 14 21:16:21 2008  matrix is 73982 x 74176 (19.3 MB) with weight 4766529 (64.26/col)
Sun Dec 14 21:16:21 2008  sparse part has weight 4766529 (64.26/col)
Sun Dec 14 21:16:22 2008  filtering completed in 3 passes
Sun Dec 14 21:16:22 2008  matrix is 70626 x 70690 (18.5 MB) with weight 4567849 (64.62/col)
Sun Dec 14 21:16:22 2008  sparse part has weight 4567849 (64.62/col)
Sun Dec 14 21:16:22 2008  saving the first 48 matrix rows for later
Sun Dec 14 21:16:22 2008  matrix is 70578 x 70690 (11.4 MB) with weight 3550378 (50.22/col)
Sun Dec 14 21:16:22 2008  sparse part has weight 2567736 (36.32/col)
Sun Dec 14 21:16:22 2008  matrix includes 64 packed rows
Sun Dec 14 21:16:22 2008  using block size 28276 for processor cache size 1024 kB
Sun Dec 14 21:16:23 2008  commencing Lanczos iteration
Sun Dec 14 21:16:23 2008  memory use: 11.2 MB
Sun Dec 14 21:16:55 2008  lanczos halted after 1117 iterations (dim = 70576)
Sun Dec 14 21:16:55 2008  recovered 17 nontrivial dependencies
Sun Dec 14 21:16:56 2008  prp44 factor: 16862793440103708198532263801272697174262183
Sun Dec 14 21:16:56 2008  prp51 factor: 109991581016708918525866831687260181943473154034893
Sun Dec 14 21:16:56 2008  elapsed time 02:19:31

1300633843951373418973286402129012722051843503962648717536449548299399464906466570381194546601331891<100>

418741748016711844962144967395757153592003<42>
3106052477718236853520927156215139113532043711670312169297<58>

Mon Dec 15 00:48:04 2008  Msieve v. 1.39
Mon Dec 15 00:48:04 2008  random seeds: dc2fd100 c9e6d64e
Mon Dec 15 00:48:04 2008  factoring 1300633843951373418973286402129012722051843503962648717536449548299399464906466570381194546601331891 (100 digits)
Mon Dec 15 00:48:05 2008  searching for 15-digit factors
Mon Dec 15 00:48:06 2008  commencing quadratic sieve (100-digit input)
Mon Dec 15 00:48:06 2008  using multiplier of 59
Mon Dec 15 00:48:06 2008  using 32kb Intel Core sieve core
Mon Dec 15 00:48:06 2008  sieve interval: 36 blocks of size 32768
Mon Dec 15 00:48:06 2008  processing polynomials in batches of 6
Mon Dec 15 00:48:06 2008  using a sieve bound of 2671787 (97647 primes)
Mon Dec 15 00:48:06 2008  using large prime bound of 400768050 (28 bits)
Mon Dec 15 00:48:06 2008  using double large prime bound of 3056381387395500 (43-52 bits)
Mon Dec 15 00:48:06 2008  using trial factoring cutoff of 52 bits
Mon Dec 15 00:48:06 2008  polynomial 'A' values have 13 factors
Mon Dec 15 12:57:16 2008  97874 relations (23045 full + 74829 combined from 1471490 partial), need 97743
Mon Dec 15 12:57:18 2008  begin with 1494535 relations
Mon Dec 15 12:57:20 2008  reduce to 259594 relations in 11 passes
Mon Dec 15 12:57:20 2008  attempting to read 259594 relations
Mon Dec 15 12:57:25 2008  recovered 259594 relations
Mon Dec 15 12:57:25 2008  recovered 251345 polynomials
Mon Dec 15 12:57:25 2008  attempting to build 97874 cycles
Mon Dec 15 12:57:25 2008  found 97874 cycles in 6 passes
Mon Dec 15 12:57:25 2008  distribution of cycle lengths:
Mon Dec 15 12:57:25 2008     length 1 : 23045
Mon Dec 15 12:57:25 2008     length 2 : 16691
Mon Dec 15 12:57:25 2008     length 3 : 16220
Mon Dec 15 12:57:25 2008     length 4 : 13422
Mon Dec 15 12:57:25 2008     length 5 : 10290
Mon Dec 15 12:57:25 2008     length 6 : 7121
Mon Dec 15 12:57:25 2008     length 7 : 4546
Mon Dec 15 12:57:25 2008     length 9+: 6539
Mon Dec 15 12:57:25 2008  largest cycle: 23 relations
Mon Dec 15 12:57:25 2008  matrix is 97647 x 97874 (27.4 MB) with weight 6794219 (69.42/col)
Mon Dec 15 12:57:25 2008  sparse part has weight 6794219 (69.42/col)
Mon Dec 15 12:57:27 2008  filtering completed in 3 passes
Mon Dec 15 12:57:27 2008  matrix is 93927 x 93990 (26.4 MB) with weight 6556190 (69.75/col)
Mon Dec 15 12:57:27 2008  sparse part has weight 6556190 (69.75/col)
Mon Dec 15 12:57:27 2008  saving the first 48 matrix rows for later
Mon Dec 15 12:57:27 2008  matrix is 93879 x 93990 (16.5 MB) with weight 5222311 (55.56/col)
Mon Dec 15 12:57:27 2008  sparse part has weight 3768024 (40.09/col)
Mon Dec 15 12:57:27 2008  matrix includes 64 packed rows
Mon Dec 15 12:57:27 2008  using block size 37596 for processor cache size 1024 kB
Mon Dec 15 12:57:28 2008  commencing Lanczos iteration
Mon Dec 15 12:57:28 2008  memory use: 15.9 MB
Mon Dec 15 12:58:34 2008  lanczos halted after 1485 iterations (dim = 93877)
Mon Dec 15 12:58:34 2008  recovered 16 nontrivial dependencies
Mon Dec 15 12:58:35 2008  prp42 factor: 418741748016711844962144967395757153592003
Mon Dec 15 12:58:35 2008  prp58 factor: 3106052477718236853520927156215139113532043711670312169297
Mon Dec 15 12:58:35 2008  elapsed time 12:10:31

635837554310788391204818689459763367605246338531582846149485015459484002376721164224273149663384689094348905037164216690545223<126>

38350460235070243587880442271327734428299906979443252142693<59>
16579659029211224705104833603108275078319308270761472069498739409211<68>

Number: 41117_145
N=635837554310788391204818689459763367605246338531582846149485015459484002376721164224273149663384689094348905037164216690545223
  ( 126 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=38350460235070243587880442271327734428299906979443252142693 (prp59)
 r2=16579659029211224705104833603108275078319308270761472069498739409211 (prp68)
Version: 
Total time: 11.28 hours.
Scaled time: 22.53 units (timescale=1.997).
Factorization parameters were as follows:
name: 41117_145
n: 635837554310788391204818689459763367605246338531582846149485015459484002376721164224273149663384689094348905037164216690545223
m: 100000000000000000000000000000
deg: 5
c5: 37
c0: 53
skew: 1.07
type: snfs
lss: 1
rlim: 1940000
alim: 1940000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1940000/1940000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [970000, 2070001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 307574 x 307822
Total sieving time: 11.28 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1940000,1940000,26,26,49,49,2.3,2.3,100000
total time: 11.28 hours.
 --------- CPU info (if available) ----------

16899853584033955114950120383965912952947644853307839909495057609897055375198928097686899001618067828768496519047079737942880209<128>

244860118170382215335072280041384558599<39>
446917873259314622190911021433246558748781<42>
154431953041875888316954780441581808091078491811<48>

Number: 41117_148
N=16899853584033955114950120383965912952947644853307839909495057609897055375198928097686899001618067828768496519047079737942880209
  ( 128 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=244860118170382215335072280041384558599 (prp39)
 r2=446917873259314622190911021433246558748781 (prp42)
 r3=154431953041875888316954780441581808091078491811 (prp48)
Version: 
Total time: 14.74 hours.
Scaled time: 37.79 units (timescale=2.564).
Factorization parameters were as follows:
name: 41117_148
n: 16899853584033955114950120383965912952947644853307839909495057609897055375198928097686899001618067828768496519047079737942880209
m: 500000000000000000000000000000
deg: 5
c5: 296
c0: 1325
skew: 1.35
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: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 405122 x 405370
Total sieving time: 14.74 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,150,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 14.74 hours.
 --------- CPU info (if available) ----------

2104324282611188159960451123666380806055558797064658637231912660210061374031014998130279654083126691286869690704509007375842722395502771<136>

15528730282738141460510651909659560854080390256835141132996522651323<68>
135511677020391780462271499218014916556072164255270934647592478198377<69>

Number: 41117_150
N=2104324282611188159960451123666380806055558797064658637231912660210061374031014998130279654083126691286869690704509007375842722395502771
  ( 136 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=15528730282738141460510651909659560854080390256835141132996522651323 (prp68)
 r2=135511677020391780462271499218014916556072164255270934647592478198377 (prp69)
Version: 
Total time: 19.54 hours.
Scaled time: 39.28 units (timescale=2.010).
Factorization parameters were as follows:
name: 41117_150
n: 2104324282611188159960451123666380806055558797064658637231912660210061374031014998130279654083126691286869690704509007375842722395502771
m: 1000000000000000000000000000000
deg: 5
c5: 37
c0: 53
skew: 1.07
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1200000, 1900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 350594 x 350842
Total sieving time: 19.54 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,49,49,2.4,2.4,100000
total time: 19.54 hours.
 --------- CPU info (if available) ----------

7788438064632821574690358496362360897296483820042841122084535900504402571465752730134408241556280290071228582891922842992630821129<130>

30714188652462505796370832052921572228561<41>
253577854611776783427342074390532895866761571131753872950109269776119129811679765690447289<90>

Number: 41117_151
N=7788438064632821574690358496362360897296483820042841122084535900504402571465752730134408241556280290071228582891922842992630821129
  ( 130 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=30714188652462505796370832052921572228561 (prp41)
 r2=253577854611776783427342074390532895866761571131753872950109269776119129811679765690447289 (prp90)
Version: 
Total time: 28.65 hours.
Scaled time: 56.71 units (timescale=1.979).
Factorization parameters were as follows:
name: 41117_151
n: 7788438064632821574690358496362360897296483820042841122084535900504402571465752730134408241556280290071228582891922842992630821129
m: 1000000000000000000000000000000
deg: 5
c5: 370
c0: 53
skew: 0.68
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1200000, 2300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 499116 x 499364
Total sieving time: 28.65 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,152,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,50,50,2.4,2.4,100000
total time: 28.65 hours.
 --------- CPU info (if available) ----------

536851505297330833256720241859282105348047475598159487710492234018066473949983864532710775744234875425075826135015294154924331631<129>

8719756215598888403735903369151727<34>
61567260829717922876129222772484051350518977065235325715293890266317345837386780159662510836353<95>

Number: 41117_153
N=536851505297330833256720241859282105348047475598159487710492234018066473949983864532710775744234875425075826135015294154924331631
  ( 129 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=8719756215598888403735903369151727 (pp34)
 r2=61567260829717922876129222772484051350518977065235325715293890266317345837386780159662510836353 (pp95)
Version: GGNFS-0.77.1-20060513-k8
Total time: 38.61 hours.
Scaled time: 75.95 units (timescale=1.967).
Factorization parameters were as follows:
name: 41117_153
n: 536851505297330833256720241859282105348047475598159487710492234018066473949983864532710775744234875425075826135015294154924331631
m: 5000000000000000000000000000000
deg: 5
c5: 296
c0: 1325
skew: 1.35
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, 2500001)
Primes: RFBsize:203362, AFBsize:203817, largePrimes:8308051 encountered
Relations: rels:8752937, finalFF:805926
Max relations in full relation-set: 28
Initial matrix: 407246 x 805926 with sparse part having weight 93645918.
Pruned matrix : 300178 x 302278 with weight 40667714.
Total sieving time: 36.68 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 1.51 hours.
Time per square root: 0.19 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: 38.61 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

90106422946825408363604857144748861894415378687351286417994381988145740514085075549840680353930716088170577060545290073747118283014102345407<140>

269367314763042914282201634549081377562001210180121850198455089769<66>
334511345691997716865981461494206580384756565786245263349384660653593436903<75>

Number: 41117_155
N=90106422946825408363604857144748861894415378687351286417994381988145740514085075549840680353930716088170577060545290073747118283014102345407
  ( 140 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=269367314763042914282201634549081377562001210180121850198455089769
 r2=334511345691997716865981461494206580384756565786245263349384660653593436903
Version: 
Total time: 23.50 hours.
Scaled time: 50.72 units (timescale=2.158).
Factorization parameters were as follows:
n: 90106422946825408363604857144748861894415378687351286417994381988145740514085075549840680353930716088170577060545290073747118283014102345407
m: 10000000000000000000000000000000
deg: 5
c5: 37
c0: 53
skew: 1.07
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor 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, 2300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 464074 x 464322
Total sieving time: 23.50 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 23.50 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

485176907892298017214417627143198508833688082886783719398433610286736536599785554429289484775299428567816907033141503562975300443505456660110615352101471<153>

443323695339234757494089624823618634934581<42>
452780513252055747543767753370086491619059<42>
2417082367680574707369031567295805948468828136719998084989731464459249<70>

SNFS difficulty: 161 digits.
Divisors found:
 r1=443323695339234757494089624823618634934581 (pp42)
 r2=452780513252055747543767753370086491619059 (pp42)
 r3=2417082367680574707369031567295805948468828136719998084989731464459249 (pp70)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.692).
Factorization parameters were as follows:
n: 485176907892298017214417627143198508833688082886783719398433610286736536599785554429289484775299428567816907033141503562975300443505456660110615352101471
m: 100000000000000000000000000000000
deg: 5
c5: 37
c0: 530
skew: 1.70
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [1750000, 3650001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 723565 x 723813
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,161,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,52,52,2.4,2.4,100000
total time: 26.00 hours.

Msieve-1.39

Opteron-2.6GHz; Linux x86_64

172209388578223980722585214247740618263420413262660881975294049842946008295376192901434462909969745146634753200138846085187119<126>

102923831468505464693908978527655484175650802069673<51>
1673173123475487703089313710784677360787957797984518357283275857504571559703<76>

Number: 41117_160
N=172209388578223980722585214247740618263420413262660881975294049842946008295376192901434462909969745146634753200138846085187119
  ( 126 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=102923831468505464693908978527655484175650802069673
 r2=1673173123475487703089313710784677360787957797984518357283275857504571559703
Version: 
Total time: 38.38 hours.
Scaled time: 76.64 units (timescale=1.997).
Factorization parameters were as follows:
name: 41117_160
n: 172209388578223980722585214247740618263420413262660881975294049842946008295376192901434462909969745146634753200138846085187119
m: 100000000000000000000000000000000
deg: 5
c5: 37
c0: 53
skew: 1.07
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1750000, 3050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 616277 x 616525
Total sieving time: 38.38 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 38.38 hours.
 --------- CPU info (if available) ----------

363289531354746753320799714164560359754424340577689448833156203649841655419145956572610748257666769704275970426653960602488750448203665401<138>

42028157780136442442379542414682359487864735723991<50>
8643955636962190706372478541886100514006131870100713909201584397138993894515028748366511<88>

Number: 41117_162
N=363289531354746753320799714164560359754424340577689448833156203649841655419145956572610748257666769704275970426653960602488750448203665401
  ( 138 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=42028157780136442442379542414682359487864735723991
 r2=8643955636962190706372478541886100514006131870100713909201584397138993894515028748366511
Version: 
Total time: 25.85 hours.
Scaled time: 61.62 units (timescale=2.384).
Factorization parameters were as follows:
n: 363289531354746753320799714164560359754424340577689448833156203649841655419145956572610748257666769704275970426653960602488750448203665401
m: 100000000000000000000000000000000
deg: 5
c5: 3700
c0: 53
skew: 0.43
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2300000, 4400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9823817
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 794867 x 795114
Total sieving time: 23.16 hours.
Total relation processing time: 1.02 hours.
Matrix solve time: 1.41 hours.
Time per square root: 0.26 hours.
Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,51,51,2.4,2.4,100000
total time: 25.85 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: 8046968k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.61 BogoMIPS (lpj=2673805)
Calibrating delay using timer specific routine.. 5344.84 BogoMIPS (lpj=2672421)
Calibrating delay using timer specific routine.. 5344.41 BogoMIPS (lpj=2672207)
Calibrating delay using timer specific routine.. 5291.27 BogoMIPS (lpj=2645639)

Core 2 Quad Q6700

236408863367670142721103299844704445499417936577501671655105982078525215703490151195127495684341517913294975327058250115806342823270262708415877058579607433<156>

538011999070133912246986997440759766268356209654134229710176541138511<69>
439411878873081543610582036653852567797126398884022586714170752552913700796583215412903<87>

SNFS difficulty: 167 digits.
Divisors found:
 r1=538011999070133912246986997440759766268356209654134229710176541138511 (pp69)
 r2=439411878873081543610582036653852567797126398884022586714170752552913700796583215412903 (pp87)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.309).
Factorization parameters were as follows:
n: 236408863367670142721103299844704445499417936577501671655105982078525215703490151195127495684341517913294975327058250115806342823270262708415877058579607433
m: 1000000000000000000000000000000000
deg: 5
c5: 370
c0: 53
skew: 0.68
type: snfs
lss: 1
rlim: 4300000
alim: 4300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4300000/4300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2150000, 5650001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 954792 x 955039
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,4300000,4300000,27,27,52,52,2.4,2.4,100000
total time: 45.00 hours.

Msieve-1.39

Opteron-2.6GHz; Linux x86_64

13609582016862291049453137524723009045974398678080754559936713443116025299342216519110899671138279626636611560178417519813777040628623124578030888993199988569<158>

1155470698301302268611468354403836671616459816573<49>
6382078797307035347345673498114642379600251847737301<52>
1845540960763765864183039787801984859962999384752383870553<58>

SNFS difficulty: 170 digits.
Divisors found:
 r1=1155470698301302268611468354403836671616459816573 (pp49)
 r2=6382078797307035347345673498114642379600251847737301 (pp52)
 r3=1845540960763765864183039787801984859962999384752383870553 (pp58)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.950).
Factorization parameters were as follows:
n: 13609582016862291049453137524723009045974398678080754559936713443116025299342216519110899671138279626636611560178417519813777040628623124578030888993199988569
m: 5000000000000000000000000000000000
deg: 5
c5: 296
c0: 1325
skew: 1.35
type: snfs
lss: 1
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2450000, 5450001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 919522 x 919770
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,170,5,0,0,0,0,0,0,0,0,4900000,4900000,27,27,52,52,2.4,2.4,200000
total time: 70.00 hours.

Msieve-1.39

Opteron-2.6GHz; Linux x86_64

2163742690058479532163742690058479532163742690058479532163742690058479532163742690058479532163742690058479532163742690058479532163742690058479532163742690058479532163743<169>

291511918341504324969778930777933<33>

7422484481487542405434963871001284300917097043855519001904556196162796366335291956314614258679614931018465138599301201369883800196508571<136>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=104395819
Step 1 took 10737ms
Step 2 took 2968ms
********** Factor found in step 2: 291511918341504324969778930777933
Found probable prime factor of 33 digits: 291511918341504324969778930777933
Composite cofactor has 136 digits

GMP-ECM 6.2.1

7422484481487542405434963871001284300917097043855519001904556196162796366335291956314614258679614931018465138599301201369883800196508571<136>

6256622275585770775151492306219379972061<40>
1186340513227261878040769445245614823177468731961871849452046522629392283910274236941531315901911<97>

GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 7422484481487542405434963871001284300917097043855519001904556196162796366335291956314614258679614931018465138599301201369883800196508571 (136 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3546435855
Step 1 took 4851ms
Step 2 took 4259ms
********** Factor found in step 2: 6256622275585770775151492306219379972061
Found probable prime factor of 40 digits: 6256622275585770775151492306219379972061
Probable prime cofactor 1186340513227261878040769445245614823177468731961871849452046522629392283910274236941531315901911 has 97 digits

Core 2 Quad Q6600

960792852730043416587536301900355013291868929009077724099208649994807360505992935335860729053144258511065251226798984308147476323<129>

2060454176204106527686604895224268091652282863420069<52>
466301490140428261860982955098960860463183987146647186020739663643778439019367<78>

Msieve v. 1.42
Wed Sep 23 23:30:02 2009
random seeds: 9265f727 ad073a50
factoring 960792852730043416587536301900355013291868929009077724099208649994807360505992935335860729053144258511065251226798984308147476323 (129 digits)
searching for 15-digit factors
commencing number field sieve (129-digit input)
R0: -10000000000000000000000000000000000
R1:  1
A0:  53
A1:  0
A2:  0
A3:  0
A4:  0
A5:  37
skew 1.07, size 5.920174e-12, alpha 0.452227, combined = 2.402113e-10

commencing square root phase
reading relations for dependency 1
read 352479 cycles
cycles contain 1297241 unique relations
read 1297241 relations
multiplying 1044346 relations
multiply complete, coefficients have about 28.31 million bits
initial square root is modulo 134631661
reading relations for dependency 2
read 352550 cycles
cycles contain 1297471 unique relations
read 1297471 relations
multiplying 1044696 relations
multiply complete, coefficients have about 28.32 million bits
initial square root is modulo 135591101
sqrtTime: 385
prp52 factor: 2060454176204106527686604895224268091652282863420069
prp78 factor: 466301490140428261860982955098960860463183987146647186020739663643778439019367
elapsed time 00:06:26

this was another experiment:
lpbr: 32
lpba: 32
mfbr: 50
mfba: 50
rlambda: 2.7
alambda: 2.7

Sieve time:  ~ 26 hours

5256756003019634710485850523483125367256418043445308873789318761027914805600309065612464814376394312121146082854902077121956599419408769<136>

411031001001685955380049009409122115779<39>
12789195924903174631369859008028597242225849432731341507224437578584150752650309238077031152328811<98>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3142029518
Step 1 took 42977ms
Step 2 took 14632ms
********** Factor found in step 2: 411031001001685955380049009409122115779
Found probable prime factor of 39 digits: 411031001001685955380049009409122115779
Probable prime cofactor 12789195924903174631369859008028597242225849432731341507224437578584150752650309238077031152328811 has 98 digits

GMP-ECM 6.2.1

5155067219182083248760361174573855391734791637173337111939020249746136101648928558233332222704744229952399546220789116882831820753696719<136>

902291021089878530885494913692062719<36>
7996291587171749382618460758285765209<37>
714494803581107095962027285242825026955271797212682348178273689<63>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4029550040
Step 1 took 10055ms
Step 2 took 4216ms
********** Factor found in step 2: 902291021089878530885494913692062719
Found probable prime factor of 36 digits: 902291021089878530885494913692062719
Composite cofactor 5713308786953538184986313981072954262785704167440774746717888528774563465962453051508171411996286001 has 100 digits
--------------------

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2404983928
Step 1 took 6414ms
Step 2 took 3399ms
********** Factor found in step 2: 7996291587171749382618460758285765209
Found probable prime factor of 37 digits: 7996291587171749382618460758285765209
Probable prime cofactor 714494803581107095962027285242825026955271797212682348178273689 has 63 digits

81351324881477265512334352563522654500501545964971871395141823618372230062230820442757896873495747611689<104>

15102382275566300653137564378239<32>
91977583043394794293256969720219<32>
58564869249345584602048726485816313603829<41>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3150125923
Step 1 took 6465ms
********** Factor found in step 1: 91977583043394794293256969720219
Found probable prime factor of 32 digits: 91977583043394794293256969720219
Composite cofactor has 72 digits

Sat Dec 13 15:36:47 2008  Msieve v. 1.39
Sat Dec 13 15:36:47 2008  random seeds: ff568006 9809a85b
Sat Dec 13 15:36:47 2008  factoring 884469043322174635950314079773456828426465440667479238633610773754677131 (72 digits)
Sat Dec 13 15:36:47 2008  searching for 15-digit factors
Sat Dec 13 15:36:48 2008  commencing quadratic sieve (72-digit input)
Sat Dec 13 15:36:48 2008  using multiplier of 1
Sat Dec 13 15:36:48 2008  using 64kb Opteron sieve core
Sat Dec 13 15:36:48 2008  sieve interval: 6 blocks of size 65536
Sat Dec 13 15:36:48 2008  processing polynomials in batches of 17
Sat Dec 13 15:36:48 2008  using a sieve bound of 414311 (17438 primes)
Sat Dec 13 15:36:48 2008  using large prime bound of 41431100 (25 bits)
Sat Dec 13 15:36:48 2008  using trial factoring cutoff of 25 bits
Sat Dec 13 15:36:48 2008  polynomial 'A' values have 9 factors
Sat Dec 13 15:39:26 2008  17777 relations (8871 full + 8906 combined from 97264 partial), need 17534
Sat Dec 13 15:39:27 2008  begin with 106135 relations
Sat Dec 13 15:39:27 2008  reduce to 25588 relations in 2 passes
Sat Dec 13 15:39:27 2008  attempting to read 25588 relations
Sat Dec 13 15:39:27 2008  recovered 25588 relations
Sat Dec 13 15:39:27 2008  recovered 19369 polynomials
Sat Dec 13 15:39:27 2008  attempting to build 17777 cycles
Sat Dec 13 15:39:27 2008  found 17777 cycles in 1 passes
Sat Dec 13 15:39:27 2008  distribution of cycle lengths:
Sat Dec 13 15:39:27 2008     length 1 : 8871
Sat Dec 13 15:39:27 2008     length 2 : 8906
Sat Dec 13 15:39:27 2008  largest cycle: 2 relations
Sat Dec 13 15:39:27 2008  matrix is 17438 x 17777 (2.5 MB) with weight 515169 (28.98/col)
Sat Dec 13 15:39:27 2008  sparse part has weight 515169 (28.98/col)
Sat Dec 13 15:39:27 2008  filtering completed in 3 passes
Sat Dec 13 15:39:27 2008  matrix is 12817 x 12880 (2.0 MB) with weight 411137 (31.92/col)
Sat Dec 13 15:39:27 2008  sparse part has weight 411137 (31.92/col)
Sat Dec 13 15:39:27 2008  saving the first 48 matrix rows for later
Sat Dec 13 15:39:27 2008  matrix is 12769 x 12880 (1.4 MB) with weight 303997 (23.60/col)
Sat Dec 13 15:39:27 2008  sparse part has weight 226977 (17.62/col)
Sat Dec 13 15:39:27 2008  matrix includes 64 packed rows
Sat Dec 13 15:39:27 2008  commencing Lanczos iteration
Sat Dec 13 15:39:27 2008  memory use: 1.8 MB
Sat Dec 13 15:39:31 2008  lanczos halted after 203 iterations (dim = 12764)
Sat Dec 13 15:39:31 2008  recovered 15 nontrivial dependencies
Sat Dec 13 15:39:31 2008  prp32 factor: 15102382275566300653137564378239
Sat Dec 13 15:39:31 2008  prp41 factor: 58564869249345584602048726485816313603829
Sat Dec 13 15:39:31 2008  elapsed time 00:02:44

GMP-ECM 6.2.1; msieve/QS

9657227136109478322078135370061660244717827995589211313730301879604282839847557715337369107449147003744213885177713807237<121>

2119493083661110697017153309<28>

4556385302955576221884023543638349856512194802012137833352589947767890040676035957132831155593<94>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1915012220
Step 1 took 7824ms
Step 2 took 4376ms
********** Factor found in step 2: 2119493083661110697017153309
Found probable prime factor of 28 digits: 2119493083661110697017153309
Composite cofactor has 94 digits

GMP-ECM 6.2.1

4556385302955576221884023543638349856512194802012137833352589947767890040676035957132831155593<94>

1231767907813054570880909901881618539628959<43>
3699061547272506851328690176815392273739868519354327<52>

Sun Dec 14 23:07:19 2008  
Sun Dec 14 23:07:19 2008  
Sun Dec 14 23:07:19 2008  Msieve v. 1.39
Sun Dec 14 23:07:19 2008  random seeds: efc8f9c0 4a2a88b6
Sun Dec 14 23:07:19 2008  factoring 4556385302955576221884023543638349856512194802012137833352589947767890040676035957132831155593 (94 digits)
Sun Dec 14 23:07:20 2008  searching for 15-digit factors
Sun Dec 14 23:07:21 2008  commencing quadratic sieve (94-digit input)
Sun Dec 14 23:07:21 2008  using multiplier of 1
Sun Dec 14 23:07:21 2008  using VC8 32kb sieve core
Sun Dec 14 23:07:21 2008  sieve interval: 36 blocks of size 32768
Sun Dec 14 23:07:21 2008  processing polynomials in batches of 6
Sun Dec 14 23:07:21 2008  using a sieve bound of 2059511 (76377 primes)
Sun Dec 14 23:07:21 2008  using large prime bound of 284212518 (28 bits)
Sun Dec 14 23:07:21 2008  using double large prime bound of 1646484896014146 (42-51 bits)
Sun Dec 14 23:07:21 2008  using trial factoring cutoff of 51 bits
Sun Dec 14 23:07:21 2008  polynomial 'A' values have 12 factors
Mon Dec 15 02:09:04 2008  76723 relations (18644 full + 58079 combined from 1105235 partial), need 76473
Mon Dec 15 02:09:06 2008  begin with 1123879 relations
Mon Dec 15 02:09:06 2008  reduce to 199758 relations in 11 passes
Mon Dec 15 02:09:06 2008  attempting to read 199758 relations
Mon Dec 15 02:09:09 2008  recovered 199758 relations
Mon Dec 15 02:09:09 2008  recovered 183205 polynomials
Mon Dec 15 02:09:09 2008  attempting to build 76723 cycles
Mon Dec 15 02:09:09 2008  found 76723 cycles in 5 passes
Mon Dec 15 02:09:09 2008  distribution of cycle lengths:
Mon Dec 15 02:09:09 2008     length 1 : 18644
Mon Dec 15 02:09:09 2008     length 2 : 13569
Mon Dec 15 02:09:09 2008     length 3 : 12956
Mon Dec 15 02:09:09 2008     length 4 : 10464
Mon Dec 15 02:09:09 2008     length 5 : 7806
Mon Dec 15 02:09:09 2008     length 6 : 5369
Mon Dec 15 02:09:09 2008     length 7 : 3303
Mon Dec 15 02:09:09 2008     length 9+: 4612
Mon Dec 15 02:09:09 2008  largest cycle: 18 relations
Mon Dec 15 02:09:10 2008  matrix is 76377 x 76723 (20.7 MB) with weight 4802821 (62.60/col)
Mon Dec 15 02:09:10 2008  sparse part has weight 4802821 (62.60/col)
Mon Dec 15 02:09:11 2008  filtering completed in 3 passes
Mon Dec 15 02:09:11 2008  matrix is 72800 x 72864 (19.7 MB) with weight 4576855 (62.81/col)
Mon Dec 15 02:09:11 2008  sparse part has weight 4576855 (62.81/col)
Mon Dec 15 02:09:11 2008  saving the first 48 matrix rows for later
Mon Dec 15 02:09:11 2008  matrix is 72752 x 72864 (12.2 MB) with weight 3552283 (48.75/col)
Mon Dec 15 02:09:11 2008  sparse part has weight 2460376 (33.77/col)
Mon Dec 15 02:09:11 2008  matrix includes 64 packed rows
Mon Dec 15 02:09:11 2008  using block size 29145 for processor cache size 4096 kB
Mon Dec 15 02:09:11 2008  commencing Lanczos iteration
Mon Dec 15 02:09:11 2008  memory use: 11.2 MB
Mon Dec 15 02:09:41 2008  lanczos halted after 1151 iterations (dim = 72748)
Mon Dec 15 02:09:41 2008  recovered 14 nontrivial dependencies
Mon Dec 15 02:09:41 2008  prp43 factor: 1231767907813054570880909901881618539628959
Mon Dec 15 02:09:41 2008  prp52 factor: 3699061547272506851328690176815392273739868519354327
Mon Dec 15 02:09:41 2008  elapsed time 03:02:22

Core 2 Quad Q6600,Windows Vista(tm) Ultimate x64

3032030220678757944646159855687760522711898420237444250695156379566792447849554282220709985230834896126611300970379650526050192443158585752287157831001<151>

13539135719133733569794790734865914115109697826682169186381<59>
223945625745803109684836553236548218100453913460551499657883535139630902872293332324805257021<93>

N=3032030220678757944646159855687760522711898420237444250695156379566792447849554282220709985230834896126611300970379650526050192443158585752287157831001
  ( 151 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=13539135719133733569794790734865914115109697826682169186381 (pp59)
 r2=223945625745803109684836553236548218100453913460551499657883535139630902872293332324805257021 (pp93)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 108.70 hours.
Scaled time: 209.24 units (timescale=1.925).
Factorization parameters were as follows:
n: 3032030220678757944646159855687760522711898420237444250695156379566792447849554282220709985230834896126611300970379650526050192443158585752287157831001
m: 1000000000000000000000000000000000000
deg: 5
c5: 37
c0: 53
skew: 1.07
# Murphy_E = 9.562e-11
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3700000, 9300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1374932 x 1375163
Total sieving time: 106.53 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 1.81 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,100000
total time: 108.70 hours.
 --------- CPU info (if available) ----------

1018299839583203604484735670803650973418017520539166748962656957668667410682991485229946221852507974115305352219383122006152658532903524271<139>

198832449327167108210474808742352819838077365289<48>
5121396648429608554583577645098226021777994943778710231278982629222589234720572312521302039<91>

N=1018299839583203604484735670803650973418017520539166748962656957668667410682991485229946221852507974115305352219383122006152658532903524271
  ( 139 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=198832449327167108210474808742352819838077365289 (pp48)
 r2=5121396648429608554583577645098226021777994943778710231278982629222589234720572312521302039 (pp91)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 194.25 hours.
Scaled time: 373.54 units (timescale=1.923).
Factorization parameters were as follows:
n: 1018299839583203604484735670803650973418017520539166748962656957668667410682991485229946221852507974115305352219383122006152658532903524271
m: 1000000000000000000000000000000000000
deg: 5
c5: 370
c0: 53
skew: 0.68
# Murphy_E = 5.872e-11
type: snfs
lss: 1
rlim: 7700000
alim: 7700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7700000/7700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3850000, 14250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1714067 x 1714294
Total sieving time: 191.11 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 2.81 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,182.000,5,0,0,0,0,0,0,0,0,7700000,7700000,28,28,53,53,2.5,2.5,100000
total time: 194.25 hours.
 --------- CPU info (if available) ----------

298015890325100385196761679814122400045878512263113789131905728352789303274277500567551819862233573284134142622939445851447369678044929797<138>

66503759116420841760084255000846633188302189<44>
4481188646846212570408128066055347535742323250663668778014220005823609084064780441641738830073<94>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3352722534
Step 1 took 48747ms
Step 2 took 19883ms
********** Factor found in step 2: 66503759116420841760084255000846633188302189
Found probable prime factor of 44 digits: 66503759116420841760084255000846633188302189
Probable prime cofactor 4481188646846212570408128066055347535742323250663668778014220005823609084064780441641738830073 has 94 digits

980295452041124824914595732911668517702930365401420522294528284875342053564774200997606939834737553579438891070708631472311303259617499842291657343924445397185645941710625631711<177>

16341765990518257191015784455289216670783702372232517762691590620667457952660416047359851<89>
59987118443007154419128460881877747027910664389391604615387614124217848128314301168800861<89>

Number: 12
N=980295452041124824914595732911668517702930365401420522294528284875342053564774200997606939834737553579438891070708631472311303259617499842291657343924445397185645941710625631711
  ( 177 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=16341765990518257191015784455289216670783702372232517762691590620667457952660416047359851 (pp89)
 r2=59987118443007154419128460881877747027910664389391604615387614124217848128314301168800861 (pp89)
Version: Msieve-1.40
Total time: 204.35 hours.
Scaled time: 356.38 units (timescale=1.744).
Factorization parameters were as follows:
n: 980295452041124824914595732911668517702930365401420522294528284875342053564774200997606939834737553579438891070708631472311303259617499842291657343924445397185645941710625631711
m: 1000000000000000000000000000000000000
deg: 5
c5: 37000
c0: 53
skew: 0.27
type: snfs
lss: 1
rlim: 8300000
alim: 8300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8300000/8300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4150000, 7450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1661560 x 1661785
Total sieving time: 199.60 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 4.04 hours.
Time per square root: 0.44 hours.
Prototype def-par.txt line would be:
snfs,184.000,5,0,0,0,0,0,0,0,0,8300000,8300000,28,28,54,54,2.5,2.5,100000
total time: 204.35 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

1114009550166693714470126359583180310040654171745315988536394513892815603320982184678759193229357993393171286558048066786184559497745231133486722825578753214761<160>

1145599264587319215239852748616777023580477<43>
972425161749728333966343260626451854734200960620980579857864023816986579948093247859608057558236421315011928192755293<117>

GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 1114009550166693714470126359583180310040654171745315988536394513892815603320982184678759193229357993393171286558048066786184559497745231133486722825578753214761 (160 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3955892161
Step 1 took 29711ms
Step 2 took 9861ms
********** Factor found in step 2: 1145599264587319215239852748616777023580477
Found probable prime factor of 43 digits: 1145599264587319215239852748616777023580477
Probable prime cofactor 972425161749728333966343260626451854734200960620980579857864023816986579948093247859608057558236421315011928192755293 has 117 digits

Core i7-4930K

849025571396796335386246689015507123802539507426578083907736783197606629679485271117338199590011332157992409252767681744474669989243411063358931178106303896163707<162>

699418624920567186652450795619293513359359470604533623368951189903629<69>
1213901862412114026053381832460167319386840137257813955663893197666789608480261737193497212583<94>

Number: 41117_185
N=849025571396796335386246689015507123802539507426578083907736783197606629679485271117338199590011332157992409252767681744474669989243411063358931178106303896163707
  ( 162 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=699418624920567186652450795619293513359359470604533623368951189903629
 r2=1213901862412114026053381832460167319386840137257813955663893197666789608480261737193497212583
Version: 
Total time: 72.34 hours.
Scaled time: 375.90 units (timescale=5.196).
Factorization parameters were as follows:
n: 849025571396796335386246689015507123802539507426578083907736783197606629679485271117338199590011332157992409252767681744474669989243411063358931178106303896163707
m: 10000000000000000000000000000000000000
deg: 5
c5: 37
c0: 53
skew: 1.07
# Murphy_E = 5.992e-11
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 7500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 19955543
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1719037 x 1719285
Total sieving time: 65.94 hours.
Total relation processing time: 1.71 hours.
Matrix solve time: 3.80 hours.
Time per square root: 0.90 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 72.34 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.70 BogoMIPS (lpj=3399852)
Total of 12 processors activated (81596.44 BogoMIPS).

GGNFS / Msieve v1.39

Core i7-4930K

38847129569124309156477218134793509790557062206121944706724651835153341314370437417850593546564788611677744688899515460254477222109232626010118083<146>

10378488878367712824242152948117<32>

3743042944343746327051073365541314201342334703437542556352179663331113160500440981418270935251237401012936934788599<115>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1287780505
Step 1 took 11689ms
Step 2 took 6736ms
********** Factor found in step 2: 10378488878367712824242152948117
Found probable prime factor of 32 digits: 10378488878367712824242152948117
Composite cofactor has 115 digits

GMP-ECM 6.2.1

3743042944343746327051073365541314201342334703437542556352179663331113160500440981418270935251237401012936934788599<115>

2689929817698759709554943418445374763129549819167<49>
1391502082959891862381969553973756799821963452576981458534155488297<67>

Number: 41117_186
N=3743042944343746327051073365541314201342334703437542556352179663331113160500440981418270935251237401012936934788599
  ( 115 digits)
Divisors found:
 r1=2689929817698759709554943418445374763129549819167
 r2=1391502082959891862381969553973756799821963452576981458534155488297
Version: 
Total time: 23.49 hours.
Scaled time: 56.17 units (timescale=2.391).
Factorization parameters were as follows:
name: 41117_186
n: 3743042944343746327051073365541314201342334703437542556352179663331113160500440981418270935251237401012936934788599
skew: 19576.61
# norm 1.71e+15
c5: 71040
c4: 5792275644
c3: -75240063274582
c2: -1887877505352075585
c1: 13052664014638656996786
c0: 93295585212988908690842265
# alpha -4.74
Y1: 612224461663
Y0: -8797188109558810865144
# Murphy_E 5.31e-10
# M 2485795306113775412739937617463062509924090181073194909416249828870954543475074827476885729509114857968585428779381
type: gnfs
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.6
alambda: 2.6
qintsize: 70000
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [1400000, 2730001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9452756
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 554579 x 554827
Polynomial selection time: 1.33 hours.
Total sieving time: 20.54 hours.
Total relation processing time: 0.81 hours.
Matrix solve time: 0.69 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
gnfs,114,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2800000,2800000,27,27,52,52,2.6,2.6,70000
total time: 23.49 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)

GGNFS-0.77.1-20050930-nocona / Msieve v1.39

Core 2 Quad Q6700

20105573178018562621888900777370317309858873733098315622354305209799822550562334900149593874044751788684676152239363944488413734569170773134100253265893<152>

228822554008790119385212155709949<33>

87865347299839227077677777536365983116150872999131750437968032584396075641901842890425376739301590272179304048017141257<119>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1937590972
Step 1 took 9284ms
Step 2 took 5233ms
********** Factor found in step 2: 228822554008790119385212155709949
Found probable prime factor of 33 digits: 228822554008790119385212155709949
Composite cofactor has 119 digits

GMP-ECM 6.2.1

87865347299839227077677777536365983116150872999131750437968032584396075641901842890425376739301590272179304048017141257<119>

6700559039122072293901319740648826129<37>
94122795556702802098640504555138641771009<41>
139319457310594504389225773069331905769337<42>

GMP-ECM 6.2.1 [powered by GMP 4.2.3] [ECM]
Input number is 87865347299839227077677777536365983116150872999131750437968032584396075641901842890425376739301590272179304048017141257 (119 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2495475907
Step 1 took 13322ms
Step 2 took 9282ms
********** Factor found in step 2: 6700559039122072293901319740648826129
Found probable prime factor of 37 digits: 6700559039122072293901319740648826129
Composite cofactor 13113136797515870136423584090069674988260781902340888649157796440990324986327751033 has 83 digits

Mon Dec 22 22:59:56 2008  
Mon Dec 22 22:59:56 2008  
Mon Dec 22 22:59:56 2008  Msieve v. 1.39
Mon Dec 22 22:59:56 2008  random seeds: 5344db90 d0343cf0
Mon Dec 22 22:59:56 2008  factoring 13113136797515870136423584090069674988260781902340888649157796440990324986327751033 (83 digits)
Mon Dec 22 22:59:57 2008  searching for 15-digit factors
Mon Dec 22 22:59:58 2008  commencing quadratic sieve (83-digit input)
Mon Dec 22 22:59:58 2008  using multiplier of 1
Mon Dec 22 22:59:58 2008  using VC8 32kb sieve core
Mon Dec 22 22:59:58 2008  sieve interval: 12 blocks of size 32768
Mon Dec 22 22:59:58 2008  processing polynomials in batches of 17
Mon Dec 22 22:59:58 2008  using a sieve bound of 1357919 (52059 primes)
Mon Dec 22 22:59:58 2008  using large prime bound of 124928548 (26 bits)
Mon Dec 22 22:59:58 2008  using trial factoring cutoff of 27 bits
Mon Dec 22 22:59:58 2008  polynomial 'A' values have 10 factors
Mon Dec 22 23:15:29 2008  52266 relations (26562 full + 25704 combined from 277983 partial), need 52155
Mon Dec 22 23:15:29 2008  begin with 304545 relations
Mon Dec 22 23:15:29 2008  reduce to 74683 relations in 2 passes
Mon Dec 22 23:15:29 2008  attempting to read 74683 relations
Mon Dec 22 23:15:30 2008  recovered 74683 relations
Mon Dec 22 23:15:30 2008  recovered 66029 polynomials
Mon Dec 22 23:15:30 2008  attempting to build 52266 cycles
Mon Dec 22 23:15:30 2008  found 52266 cycles in 1 passes
Mon Dec 22 23:15:30 2008  distribution of cycle lengths:
Mon Dec 22 23:15:30 2008     length 1 : 26562
Mon Dec 22 23:15:30 2008     length 2 : 25704
Mon Dec 22 23:15:30 2008  largest cycle: 2 relations
Mon Dec 22 23:15:30 2008  matrix is 52059 x 52266 (7.7 MB) with weight 1591401 (30.45/col)
Mon Dec 22 23:15:30 2008  sparse part has weight 1591401 (30.45/col)
Mon Dec 22 23:15:30 2008  filtering completed in 3 passes
Mon Dec 22 23:15:30 2008  matrix is 37218 x 37282 (6.0 MB) with weight 1276780 (34.25/col)
Mon Dec 22 23:15:30 2008  sparse part has weight 1276780 (34.25/col)
Mon Dec 22 23:15:30 2008  saving the first 48 matrix rows for later
Mon Dec 22 23:15:30 2008  matrix is 37170 x 37282 (4.8 MB) with weight 1060890 (28.46/col)
Mon Dec 22 23:15:30 2008  sparse part has weight 894883 (24.00/col)
Mon Dec 22 23:15:30 2008  matrix includes 64 packed rows
Mon Dec 22 23:15:30 2008  using block size 14912 for processor cache size 4096 kB
Mon Dec 22 23:15:30 2008  commencing Lanczos iteration
Mon Dec 22 23:15:30 2008  memory use: 4.5 MB
Mon Dec 22 23:15:35 2008  lanczos halted after 589 iterations (dim = 37168)
Mon Dec 22 23:15:35 2008  recovered 15 nontrivial dependencies
Mon Dec 22 23:15:35 2008  prp41 factor: 94122795556702802098640504555138641771009
Mon Dec 22 23:15:35 2008  prp42 factor: 139319457310594504389225773069331905769337
Mon Dec 22 23:15:35 2008  elapsed time 00:15:39

Core 2 Quad Q6600,Windows Vista(tm) Ultimate K x64

35095495349634071033318364085607984064335232079881918030680951498641102831037349644578106233535984909070583466571710602672244602674394727083390019175330423726647<161>

76771930080208979902700508074812613455996356032307252588589031957601812539<74>
457139677392080202186528453031286846919072390193413919982500664124131032909266816606773<87>

p74 factor: 76771930080208979902700508074812613455996356032307252588589031957601812539
p87 factor: 457139677392080202186528453031286846919072390193413919982500664124131032909266816606773


Msieve v. 1.54 (SVN 1034)
random seeds: a4acc635 9ee5460d
factoring 35095495349634071033318364085607984064335232079881918030680951498641102831037349644578106233535984909070583466571710602672244602674394727083390019175330423726647 (161 digits)
searching for 15-digit factors
commencing number field sieve (161-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: 53
A1: 0
A2: 0
A3: 0
A4: 0
A5: 370
skew 1.00, size 9.575e-14, alpha 1.664, combined = 2.055e-11 rroots = 1

commencing relation filtering
estimated available RAM is 15892.2 MB
commencing duplicate removal, pass 1
found 2267527 hash collisions in 36470826 relations
added 727365 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 37198191 unique relations
memory use: 98.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1233.5 MB
keeping 40190408 ideals with weight <= 200, target excess is 196329
commencing in-memory singleton removal
begin with 37198191 relations and 40190408 unique ideals
reduce to 13917539 relations and 12876393 ideals in 15 passes
max relations containing the same ideal: 111
removing 2161818 relations and 1761818 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 11755721 relations and 12876393 unique ideals
reduce to 11464837 relations and 10812605 ideals in 9 passes
max relations containing the same ideal: 98
removing 1752850 relations and 1352850 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 9711987 relations and 10812605 unique ideals
reduce to 9473195 relations and 9212591 ideals in 9 passes
max relations containing the same ideal: 90
removing 236979 relations and 204117 ideals in 32862 cliques
commencing in-memory singleton removal
begin with 9236216 relations and 9212591 unique ideals
reduce to 9231766 relations and 9004009 ideals in 6 passes
max relations containing the same ideal: 89
relations with 0 large ideals: 4149
relations with 1 large ideals: 7452
relations with 2 large ideals: 68322
relations with 3 large ideals: 351016
relations with 4 large ideals: 1081136
relations with 5 large ideals: 2079223
relations with 6 large ideals: 2621678
relations with 7+ large ideals: 3018790
commencing 2-way merge
reduce to 5715941 relation sets and 5488184 unique ideals
commencing full merge
memory use: 654.5 MB
found 2670325 cycles, need 2648384
weight of 2648384 cycles is about 238711014 (90.13/cycle)
distribution of cycle lengths:
1 relations: 227994
2 relations: 230616
3 relations: 238801
4 relations: 229570
5 relations: 220466
6 relations: 202602
7 relations: 186932
8 relations: 168584
9 relations: 149939
10+ relations: 792880
heaviest cycle: 28 relations
commencing cycle optimization
start with 19663196 relations
pruned 664567 relations
memory use: 578.8 MB
distribution of cycle lengths:
1 relations: 227994
2 relations: 236358
3 relations: 247999
4 relations: 237197
5 relations: 228413
6 relations: 208694
7 relations: 192646
8 relations: 171734
9 relations: 152565
10+ relations: 744784
heaviest cycle: 27 relations
RelProcTime: 1003
elapsed time 00:16:45


Msieve v. 1.54 (SVN 1034)
random seeds: edad802b 4b6a7d06
factoring 35095495349634071033318364085607984064335232079881918030680951498641102831037349644578106233535984909070583466571710602672244602674394727083390019175330423726647 (161 digits)
searching for 15-digit factors
commencing number field sieve (161-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: 53
A1: 0
A2: 0
A3: 0
A4: 0
A5: 370
skew 1.00, size 9.575e-14, alpha 1.664, combined = 2.055e-11 rroots = 1

commencing linear algebra
read 2648384 cycles
cycles contain 9073949 unique relations
read 9073949 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 1145.4 MB
read 2648384 cycles
matrix is 2648207 x 2648384 (973.8 MB) with weight 284297424 (107.35/col)
sparse part has weight 226149101 (85.39/col)
filtering completed in 2 passes
matrix is 2647514 x 2647691 (973.8 MB) with weight 284273893 (107.37/col)
sparse part has weight 226141104 (85.41/col)
matrix starts at (0, 0)
matrix is 2647514 x 2647691 (973.8 MB) with weight 284273893 (107.37/col)
sparse part has weight 226141104 (85.41/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2647466 x 2647691 (924.9 MB) with weight 233351538 (88.13/col)
sparse part has weight 215989212 (81.58/col)
using block size 8192 and superblock size 786432 for processor cache size 8192 kB
commencing Lanczos iteration (8 threads)
memory use: 883.5 MB
linear algebra at 0.1%, ETA 3h23m
checkpointing every 820000 dimensions
lanczos halted after 41867 iterations (dim = 2647464)
recovered 37 nontrivial dependencies
BLanczosTime: 12244
elapsed time 03:24:05


Msieve v. 1.54 (SVN 1034)
random seeds: 5d69a97d f7a01736
factoring 35095495349634071033318364085607984064335232079881918030680951498641102831037349644578106233535984909070583466571710602672244602674394727083390019175330423726647 (161 digits)
searching for 15-digit factors
commencing number field sieve (161-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: 53
A1: 0
A2: 0
A3: 0
A4: 0
A5: 370
skew 1.00, size 9.575e-14, alpha 1.664, combined = 2.055e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1323268 cycles
cycles contain 4533306 unique relations
read 4533306 relations
multiplying 4533306 relations
multiply complete, coefficients have about 139.02 million bits
initial square root is modulo 97561
sqrtTime: 284
p74 factor: 76771930080208979902700508074812613455996356032307252588589031957601812539
p87 factor: 457139677392080202186528453031286846919072390193413919982500664124131032909266816606773
elapsed time 00:04:45

CADO-NFS/Msieve

15219801995250409263884478918230893396053637846459760471217467031840081230366783600588731482805708269679836776190284554468849<125>

35867083397590927593219722374171229076428790438873337549741<59>
424338991451774208641450903833682362243340085368246160578079275989<66>

Number: 41117_192
N = 15219801995250409263884478918230893396053637846459760471217467031840081230366783600588731482805708269679836776190284554468849 (125 digits)
Divisors found:
r1=35867083397590927593219722374171229076428790438873337549741 (pp59)
r2=424338991451774208641450903833682362243340085368246160578079275989 (pp66)
Version: Msieve v. 1.43
Total time: 51.55 hours.
Factorization parameters were as follows:
# Murphy_E = 1.651132e-10, selected by Jeff Gilchrist
n: 15219801995250409263884478918230893396053637846459760471217467031840081230366783600588731482805708269679836776190284554468849
Y0: -878417414778137359843827
Y1: 42604429692917
c0: 590760238536977697989435816
c1: 447377631951994378635082
c2: -73250295773860776351
c3: 221003606989922
c4: 15649523548
c5: 29100
skew: 61281.74
type: gnfs
# selected mechanically
rlim: 6800000
alim: 6800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [3400000, 6700000)
Relations: 1728878 relations
Pruned matrix : 1019688 x 1019913
Polynomial selection time: 0.00 hours.
Total sieving time: 48.09 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 2.85 hours.
time per square root: 0.41 hours.
Prototype def-par.txt line would be: gnfs,124,5,65,2000,1e-05,0.28,250,20,50000,3600,6800000,6800000,27,27,52,52,2.5,2.5,100000
total time: 51.55 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

22031663168948549702191772274342320739135587575722610170213344382902473810371375592540282691118751552509540366783735642171764416228037351346864577<146>

22620670955447701270885992607239887032719623930504387909531<59>
973961524498578070133981136312734010236888371467511125721629529764581946684229363546067<87>

22031663168948549702191772274342320739135587575722610170213344382902473810371375592540282691118751552509540366783735642171764416228037351346864577=22620670955447701270885992607239887032719623930504387909531*973961524498578070133981136312734010236888371467511125721629529764581946684229363546067 

cado polynomial
n: 22031663168948549702191772274342320739135587575722610170213344382902473810371375592540282691118751552509540366783735642171764416228037351346864577
skew: 0.72
type: snfs
c0: 53
c6: 370
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 370*x^6+53
# g(x) = -x+100000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 12200000
tasks.lim1 = 12200000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 973961524498578070133981136312734010236888371467511125721629529764581946684229363546067 22620670955447701270885992607239887032719623930504387909531
Info:Square Root: Total cpu/real time for sqrt: 2529.23/308.787
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 29197971
Info:Lattice Sieving: Average J: 1894.08 for 4200738 special-q, max bucket fill -bkmult 1.0,1s:1.126520
Info:Lattice Sieving: Total time: 1.266e+06s
Info:Filtering - Merging: Merged matrix has 2630370 rows and total weight 449170071 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 859.21/174.215
Info:Filtering - Merging: Total cpu/real time for replay: 108.3/84.0485
Info:Linear Algebra: Total cpu/real time for bwc: 118876/29590.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 69547.55, WCT time 18527.59, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (82432 iterations)
Info:Linear Algebra: Lingen CPU time 950.48, WCT time 82.29
Info:Linear Algebra: Mksol: CPU time 40354.51,  WCT time 10974.14, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.02, comm-wait 0.0 (41472 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 693.24/402.172
Info:Generate Factor Base: Total cpu/real time for makefb: 10.08/1.55063
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 891.86/540.973
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 426.2s
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 29197971
Info:Lattice Sieving: Average J: 1894.08 for 4200738 special-q, max bucket fill -bkmult 1.0,1s:1.126520
Info:Lattice Sieving: Total time: 1.266e+06s
Info:Generate Free Relations: Total cpu/real time for freerel: 215.47/19.5586
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 218.63/103.625
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 103.0s
Info:Square Root: Total cpu/real time for sqrt: 2529.23/308.787
Info:Quadratic Characters: Total cpu/real time for characters: 99.1/24.9028
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.60575e+06/29926.1
973961524498578070133981136312734010236888371467511125721629529764581946684229363546067 22620670955447701270885992607239887032719623930504387909531

cado-nfs-3.0.0

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

64025050603879418590329108488909813167639704925431419015936647795454245111699014125775099486340191474452298321805875183915601269382867386009953908045920893221<158>

69006908009992140002562203976246800257<38>

927806395768502585111299202562307619951446152231141393438622199897825355340265825963704252974616585581754973797625682853<120>

GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Input number is 64025050603879418590329108488909813167639704925431419015936647795454245111699014125775099486340191474452298321805875183915601269382867386009953908045920893221 (158 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=233142294
Step 1 took 18672ms
Step 2 took 10172ms
********** Factor found in step 2: 69006908009992140002562203976246800257
Found probable prime factor of 38 digits: 69006908009992140002562203976246800257
Composite cofactor 927806395768502585111299202562307619951446152231141393438622199897825355340265825963704252974616585581754973797625682853 has 120 digits

GMP-ECM

927806395768502585111299202562307619951446152231141393438622199897825355340265825963704252974616585581754973797625682853<120>

47632910651030963930956056556114908667<38>
19478263727484837162068588896695823548905181571834417112058633113786498230811214559<83>

GMP-ECM 6.3 [configured with GMP 5.0.1 and --enable-asm-redc] [ECM]
Input number is 927806395768502585111299202562307619951446152231141393438622199897825355340265825963704252974616585581754973797625682853 (120 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2356192265
********** Factor found in step 2: 47632910651030963930956056556114908667
Found probable prime factor of 38 digits: 47632910651030963930956056556114908667

Probable prime cofactor 19478263727484837162068588896695823548905181571834417112
058633113786498230811214559 has 83 digits

GMP-ECM

4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111117<196>

4056360560086047507543906248121877688926356700992813898073165645472671699<73>
1013497456701408757672140181978775551363217130114066050778854198003534742597824804711171095712189587253568907167829952469983<124>

Number: 41117_195
N=4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111117
  ( 196 digits)
SNFS difficulty: 196 digits.
Divisors found:
 r1=4056360560086047507543906248121877688926356700992813898073165645472671699
 r2=1013497456701408757672140181978775551363217130114066050778854198003534742597824804711171095712189587253568907167829952469983
Version: 
Total time: 297.67 hours.
Scaled time: 709.65 units (timescale=2.384).
Factorization parameters were as follows:
n: 4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111117
m: 1000000000000000000000000000000000000000
deg: 5
c5: 37
c0: 53
skew: 1.07
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [8000000, 14700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 23311414
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2563890 x 2564137
Total sieving time: 270.08 hours.
Total relation processing time: 8.66 hours.
Matrix solve time: 17.77 hours.
Time per square root: 1.17 hours.
Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,16000000,16000000,28,28,55,55,2.5,2.5,100000
total time: 297.67 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047004k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673797)
Calibrating delay using timer specific routine.. 5148.57 BogoMIPS (lpj=2574285)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672337)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672389)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111117<197>

787928319933580324079324593875726511993688471405608499053<57>
706012788310465914244833920240020167224475218813102557627242440651<66>
73902637246869378978147840235120773789941657681890367360187082285806641539<74>

Number: 41117_196
N=41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111117
  ( 197 digits)
SNFS difficulty: 197 digits.
Divisors found:
 r1=787928319933580324079324593875726511993688471405608499053
 r2=706012788310465914244833920240020167224475218813102557627242440651
 r3=73902637246869378978147840235120773789941657681890367360187082285806641539
Version: 
Total time: 1131.63 hours.
Scaled time: 2058.43 units (timescale=1.819).
Factorization parameters were as follows:
n: 41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111117
m: 1000000000000000000000000000000000000000
deg: 5
c5: 370
c0: 53
skew: 0.68
type: snfs
lss: 1
rlim: 13700000
alim: 13700000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13700000/13700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6850000, 19550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2616836 x 2617084
Total sieving time: 1131.63 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,197,5,0,0,0,0,0,0,0,0,13700000,13700000,28,28,55,55,2.5,2.5,100000
total time: 1131.63 hours.
 --------- CPU info (if available) ----------

18468520859370384195810014168129760409291665737539143365641076663278351172581944672704934567610061673868763821481667745352648511151587602132610884970147634920207474238222466872483<179>

7178232512631264018587142021239265488459<40>
2572850743810823509870597557669632335777759305883752983494673752038956681051855825692211572677488983573357748428457831010297313828206230537<139>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1462200990
Step 1 took 16197ms
Step 2 took 6097ms
********** Factor found in step 2: 7178232512631264018587142021239265488459
Found probable prime factor of 40 digits: 7178232512631264018587142021239265488459
Probable prime cofactor

4732045609758430978001748763659862223473101150167229400953399075385544907966666073503856034934503243131787180915851600458845921951329304768345568473011208093556561803218703<172>

199737093116411195332069370353332741219489463<45>
23691371171605517162800710904424141329384279561614365482043998525661245225021682210057872416574857512952757652800592177267749481<128>

Number: n
N=4732045609758430978001748763659862223473101150167229400953399075385544907966666073503856034934503243131787180915851600458845921951329304768345568473011208093556561803218703  ( 172 digits)
SNFS difficulty: 199 digits.
Divisors found:

Sat Mar 27 11:09:30 2021  p45 factor: 199737093116411195332069370353332741219489463
Sat Mar 27 11:09:30 2021  p128 factor: 23691371171605517162800710904424141329384279561614365482043998525661245225021682210057872416574857512952757652800592177267749481
Sat Mar 27 11:09:30 2021  elapsed time 01:43:14 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.344).
Factorization parameters were as follows:
#
# N = 37x10^198+53 = 41(197)7
#
n: 4732045609758430978001748763659862223473101150167229400953399075385544907966666073503856034934503243131787180915851600458845921951329304768345568473011208093556561803218703
m: 1000000000000000000000000000000000000000
deg: 5
c5: 37000
c0: 53
skew: 0.27
# Murphy_E = 1.293e-11
type: snfs
lss: 1
rlim: 14800000
alim: 14800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14800000/14800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3961004 hash collisions in 28076160 relations (25514719 unique)
Msieve: matrix is 2035030 x 2035255 (715.1 MB)

Sieving start time : 2021/03/27 01:10:52
Sieving end time  : 2021/03/27 09:25:44

Total sieving time: 8hrs 14min 52secs.

Total relation processing time: 1hrs 21min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 13min 33sec.

Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,14800000,14800000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119391] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241112K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486124K reserved, 0K cma-reserved)
[    0.153515] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.47 BogoMIPS (lpj=12798944)
[    0.152034] smpboot: Total of 16 processors activated (102391.55 BogoMIPS)

4764060361262817462979999843687316795322691890331897020637767850763568787488568025560806193865607891591308566734629206679784313733821621193517380830860625057852753272159450576627058912615068313471<196>

83073232889032830958318021005925831<35>

57347718339390154926339184530294156960878348876030304573157521297170923496818684614574091715773458560271341921644399653208512139175830624309009733603768798562441<161>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2223104446
Step 1 took 14353ms
Step 2 took 7001ms
********** Factor found in step 2: 83073232889032830958318021005925831
Found probable prime factor of 35 digits: 83073232889032830958318021005925831
Composite cofactor has 161 digits

GMP-ECM 6.2.1

57347718339390154926339184530294156960878348876030304573157521297170923496818684614574091715773458560271341921644399653208512139175830624309009733603768798562441<161>

1219400734766026811434226428479268244249880110670849833839<58>
47029427410008720401403985591944815693022593831487925076411002537631731401458196779056119780562553200519<104>

Number: n
N=57347718339390154926339184530294156960878348876030304573157521297170923496818684614574091715773458560271341921644399653208512139175830624309009733603768798562441  ( 161 digits)
SNFS difficulty: 203 digits.
Divisors found:

Sun Dec 24 05:49:38 2023  prp58 factor: 1219400734766026811434226428479268244249880110670849833839
Sun Dec 24 05:49:38 2023  prp104 factor: 47029427410008720401403985591944815693022593831487925076411002537631731401458196779056119780562553200519
Sun Dec 24 05:49:38 2023  elapsed time 03:42:57 (Msieve 1.44 - dependency 7)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.106).
Factorization parameters were as follows:
#
# N = 37x10^202+53 = 41(201)7
#
n: 57347718339390154926339184530294156960878348876030304573157521297170923496818684614574091715773458560271341921644399653208512139175830624309009733603768798562441
m: 10000000000000000000000000000000000000000
deg: 5
c5: 3700
c0: 53
skew: 0.43
# Murphy_E = 8.439e-12
type: snfs
lss: 1
rlim: 17300000
alim: 17300000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17300000/17300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 63050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4029308 hash collisions in 20543094 relations (16778410 unique)
Msieve: matrix is 2494124 x 2494349 (703.0 MB)

Sieving start time: 2023/12/22 23:33:55
Sieving end time  : 2023/12/24 02:06:15

Total sieving time: 26hrs 32min 20secs.

Total relation processing time: 3hrs 13min 59sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 23min 24sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17300000,17300000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

72379492015763454655288004523500884699232157235732395330049712889474129032287275077931619732967229406385489193082991064780130760420367150178686035928934735791601977731<167>

6256618240686499913524822744661085130093096660122791<52>
742335946722433958454988816781362209324102189789381456989<57>
15583872380164258350334010738955289392371313069761379896969<59>

#
# N = 37x10^203+53 = 41(202)7
#
n: 72379492015763454655288004523500884699232157235732395330049712889474129032287275077931619732967229406385489193082991064780130760420367150178686035928934735791601977731
m: 10000000000000000000000000000000000000000
deg: 5
c5: 37000
c0: 53
skew: 0.27
# Murphy_E = 7.992e-12
type: snfs
lss: 1
rlim: 18000000
alim: 18000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 72379492015763454655288004523500884699232157235732395330049712889474129032287275077931619732967229406385489193082991064780130760420367150178686035928934735791601977731 (167 digits)
Using B1=43510000, B2=240490660426, polynomial Dickson(12), sigma=1:3719726409
Step 1 took 101481ms
********** Factor found in step 1: 6256618240686499913524822744661085130093096660122791
Found prime factor of 52 digits: 6256618240686499913524822744661085130093096660122791
Composite cofactor 11568468656930824969543030783165570548074282973591427559008398701390707300681971544880066789484543626773523924966341 has 116 digits


CADO


STA:Sun 22 Aug 2021 00:48:07 AEST (11,568,468,656,930,824,969,543,030,783,165,570,548,074,282,973,591,427,559,008,398,701,390,707,300,681,971,544,880,066,789,484,543,626,773,523,924,966,341 - C116)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 11568468656930824969543030783165570548074282973591427559008398701390707300681971544880066789484543626773523924966341 2>&1 | tee -a log47

Debug:root: Looking for parameter file for c116 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c115
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c115
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.33tdub96
Info:Database: Opened connection to database /tmp/cado.33tdub96/c115.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 1156846865693082496954303078316557054807428297359142755900839870139070730068197154488
0066789484543626773523924966341
Debug:root: Root parameter dictionary:
N = 11568468656930824969543030783165570548074282973591427559008398701390707300681971544880066789484543626773523924966341
lim0 = 5484593
lim1 = 2800829
lpb0 = 26
lpb1 = 26
name = c115
...
n: 11568468656930824969543030783165570548074282973591427559008398701390707300681971544880066789484543626773523924966341
skew: 2002426.037
c0: 305323060181462744925199956301
c1: -873902276687082682643718
c2: -1751851701029903536
c3: 420211586013
c4: 70680
Y0: -3564017938999267899912674580
Y1: 8736576532726577999
# MurphyE (Bf=2.80e+06,Bg=5.48e+06,area=9.40e+13) = 1.85e-09
# f(x) = 70680*x^4+420211586013*x^3-1751851701029903536*x^2-873902276687082682643718*x+305323060181462744925199956301
# g(x) = 8736576532726577999*x-3564017938999267899912674580
...
Info:Square Root: Factors: 15583872380164258350334010738955289392371313069761379896969 742335946722433958454988816781362209324102189789381456989
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 339.48/49.3909
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 55681.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 56814/39.670/43.965/49.310/0.621
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 56814/37.840/43.193/45.210/1.001
Info:Polynomial Selection (size optimized): Total time: 1119.79
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 151.19
Info:Polynomial Selection (root optimized): Rootsieve time: 150.53
Info:Generate Factor Base: Total cpu/real time for makefb: 2.71/0.289748
Info:Generate Free Relations: Total cpu/real time for freerel: 53.16/3.507
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6778861
Info:Lattice Sieving: Average J: 4096 for 89254 special-q, max bucket fill: 0.680371
Info:Lattice Sieving: Total CPU time: 72437.6s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 16.71/19.2543
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 19.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 90.47/28.7673
Info:Filtering - Singleton removal: Total cpu/real time for purge: 72.93/29.2971
Info:Filtering - Merging: Total cpu/real time for merge: 151.79/119.164
Info:Filtering - Merging: Total cpu/real time for replay: 16.49/12.4463
Info:Linear Algebra: Total cpu/real time for bwc: 4753.51/0.000172138
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 231.1
Info:Linear Algebra: Lingen CPU time 259.78, WCT time 23.34
Info:Linear Algebra: Mksol: WCT time 138.23
Info:Quadratic Characters: Total cpu/real time for characters: 16.56/4.34623
Info:Square Root: Total cpu/real time for sqrt: 339.48/49.3909
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 79222.4/5538.18
Info:root: Cleaning up computation data in /tmp/cado.33tdub96
15583872380164258350334010738955289392371313069761379896969 742335946722433958454988816781362209324102189789381456989

END:Sun 22 Aug 2021 02:20:26 AEST (11,568,468,656,930,824,969,543,030,783,165,570,548,074,282,973,591,427,559,008,398,701,390,707,300,681,971,544,880,066,789,484,543,626,773,523,924,966,341 - C116)

1058936524097216252700104360876134978172762051446920521861392100153894532411387626635049619939139890546470306186103093811818969356898091531188665304495998759389349358435432108550037381319328808737<196>

36013901706039348732894258478580046480127222380421<50>
29403549016729780383760061796366834102759115411281748455583377879695598416768766179518794162458720130132047190429835984532391358272705775676949997<146>

N=1058936524097216252700104360876134978172762051446920521861392100153894532411387626635049619939139890546470306186103093811818969356898091531188665304495998759389349358435432108550037381319328808737
  ( 196 digits)
SNFS difficulty: 205 digits.
Divisors found:
 r1=36013901706039348732894258478580046480127222380421 (pp50)
 r2=29403549016729780383760061796366834102759115411281748455583377879695598416768766179518794162458720130132047190429835984532391358272705775676949997 (pp146)
Version: Msieve v. 1.50
Total time:
Scaled time: 153.75 units (timescale=1.595).
Factorization parameters were as follows:
n: 1058936524097216252700104360876134978172762051446920521861392100153894532411387626635049619939139890546470306186103093811818969356898091531188665304495998759389349358435432108550037381319328808737
m: 10000000000000000000000000000000000000000
deg: 5
c5: 370000
c0: 53
skew: 0.17
type: snfs
lss: 1
rlim: 18700000
alim: 18700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 320000
Factor base limits: 18700000/18700000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [9350000, 31430001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 4201802 x 4202031
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,205.000,5,0,0,0,0,0,0,0,0,18700000,18700000,29,29,56,56,2.6,2.6,100000
total time:
 --------- CPU info (if available) ----------

6019918064923632939754510479062577927215159639630048165445512935556750886189472331656791035655063785403101842395223844130023897025632447414933096048852458146305763133<166>

310599907968564618112920841610703812755804896112312207403938835215998936593665381<81>
19381583543588494623841111159884147891208668416639739996317704724243080427218883436793<86>

Number: n
N=6019918064923632939754510479062577927215159639630048165445512935556750886189472331656791035655063785403101842395223844130023897025632447414933096048852458146305763133  ( 166 digits)
SNFS difficulty: 206 digits.
Divisors found:

Sun Mar 10 12:33:02 2024  prp81 factor: 310599907968564618112920841610703812755804896112312207403938835215998936593665381
Sun Mar 10 12:33:02 2024  prp86 factor: 19381583543588494623841111159884147891208668416639739996317704724243080427218883436793
Sun Mar 10 12:33:02 2024  elapsed time 03:29:45 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.088).
Factorization parameters were as follows:
#
# N = 37x10^205+53 = 41(204)7
#
n: 6019918064923632939754510479062577927215159639630048165445512935556750886189472331656791035655063785403101842395223844130023897025632447414933096048852458146305763133
m: 100000000000000000000000000000000000000000
deg: 5
c5: 37
c0: 53
skew: 1.07
# Murphy_E = 8.86e-12
type: snfs
lss: 1
rlim: 19400000
alim: 19400000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19400000/19400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 56920183)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3102824 hash collisions in 18606938 relations (15946139 unique)
Msieve: matrix is 2565409 x 2565634 (723.0 MB)

Sieving start time: 2024/03/09 06:39:34
Sieving end time  : 2024/03/10 09:02:55

Total sieving time: 26hrs 23min 21secs.

Total relation processing time: 3hrs 21min 30sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 55sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19400000,19400000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

2777841202835462814683361795521274948546446246771908229534584259240446897670009752749295151925235621472119478535622862562375894576104413657184405064019429373592323084866514824249<178>

506182657587021141173527399799238580881395719<45>
5487823735561122282534270498720420006485366295572318270077347205802111581252687549350914875185667774816042484346624656221740416487871<133>

#
# N = 37x10^206+53 = 41(205)7
#
n: 2777841202835462814683361795521274948546446246771908229534584259240446897670009752749295151925235621472119478535622862562375894576104413657184405064019429373592323084866514824249
m: 100000000000000000000000000000000000000000
deg: 5
c5: 370
c0: 53
skew: 0.68
# Murphy_E = 4.813e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 2777841202835462814683361795521274948546446246771908229534584259240446897670009752749295151925235621472119478535622862562375894576104413657184405064019429373592323084866514824249 (178 digits)
Using B1=46820000, B2=240494804566, polynomial Dickson(12), sigma=1:362233689
Step 1 took 125140ms
Step 2 took 37974ms
********** Factor found in step 2: 506182657587021141173527399799238580881395719
Found prime factor of 45 digits: 506182657587021141173527399799238580881395719
Prime cofactor 5487823735561122282534270498720420006485366295572318270077347205802111581252687549350914875185667774816042484346624656221740416487871 has 133 digits

20434204583353760922196444334177282034722185859978788028622071866491393182132166559147432843448024595077701863016613167281815066529182950186853126251352881639<158>

8380143943359500460709024345199023012892178508624680223454949490909644429293289122315406937628398275810306169966696198725181307156206209715722793164675011667397717664722082926602781943<184>

4428632477033059106225998264616858394019642031194896013891503546909830292668989976114742938690132225726372501048138234534328532021111282243101342580856037978728589575297812990221983<181>

142705713981893578109026141651010169468367731778611033096152056794076059494111526766761876248128814521384710221635488731364309311702727516276108918049140235912651570851379<171>

2249053688756501965156302403492201384216602859986181569505442076826437226490918781927515306815782822809579818300979082401003<124>

1940531037505694191464709110292738401882235913<46>
1158988774354969553621312105854389172309578898490720851793738897657914154382931<79>

GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 2249053688756501965156302403492201384216602859986181569505442076826437226490918781927515306815782822809579818300979082401003 (124 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2940213082
Step 1 took 37441ms
Step 2 took 26613ms
********** Factor found in step 2: 1940531037505694191464709110292738401882235913
Found probable prime factor of 46 digits: 1940531037505694191464709110292738401882235913
Probable prime cofactor 1158988774354969553621312105854389172309578898490720851793738897657914154382931 has 79 digits

GMP-ECM

20492060904841902919359918847008100954747271135940842853972521697077161969194007922009210018313810214605600103634444230108564169476432828436644612224577701547311211765898917758879666907642226117929152077842361<209>

8573911910438551097087402948739853853245763840293<49>
2390047987301253337980400930482851443653653512100841371278415494555133271304723499622272110416930509402988283067970883369373982112184715750777068921953152348677<160>

#
# N = 37x10^214+53 = 41(213)7
#
n: 20492060904841902919359918847008100954747271135940842853972521697077161969194007922009210018313810214605600103634444230108564169476432828436644612224577701547311211765898917758879666907642226117929152077842361
m: 5000000000000000000000000000000000000000000
deg: 5
c5: 592
c0: 265
skew: 0.85
# Murphy_E = 2.037e-12
type: snfs
lss: 1
rlim: 28000000
alim: 28000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6



GMP-ECM 6.2.3 [powered by GMP 6.1.2] [ECM]
Input number is 20492060904841902919359918847008100954747271135940842853972521697077161969194007922009210018313810214605600103634444230108564169476432828436644612224577701547311211765898917758879666907642226117929152077842361 (209 digits)
Using B1=400060000, B2=4767896883766, polynomial Dickson(30), sigma=1158836835
Step 1 took 2179490ms
Step 2 took 449452ms
********** Factor found in step 2: 8573911910438551097087402948739853853245763840293
Found probable prime factor of 49 digits: 8573911910438551097087402948739853853245763840293
Probable prime cofactor 2390047987301253337980400930482851443653653512100841371278415494555133271304723499622272110416930509402988283067970883369373982112184715750777068921953152348677 has 160 digits

9085857401998767160046453099374428722689569371588375119274897366566003037581061888443270051772782613556073575414014575108427407716574952519084459631064421072414574973092900548116485609494303537<193>

11462405212898011484511841754914120605961799734209598419665389445149588963294468714565496986354408807783393133209355414450885314231464503807175414244790759492220173418172776733956118856621532262093081191<203>

33163271731369196982379342849077063094413343057170428943629423088906168519138429293732522127181<95>
345635536377302069981892410175686730205722209362622785506465157508599392335052895164474405373729632096366211<108>

Number: n
N=11462405212898011484511841754914120605961799734209598419665389445149588963294468714565496986354408807783393133209355414450885314231464503807175414244790759492220173418172776733956118856621532262093081191
  ( 203 digits)
SNFS difficulty: 217 digits.
Divisors found:

Thu Sep 26 17:30:03 2019  p95 factor: 33163271731369196982379342849077063094413343057170428943629423088906168519138429293732522127181
Thu Sep 26 17:30:03 2019  p108 factor: 345635536377302069981892410175686730205722209362622785506465157508599392335052895164474405373729632096366211
Thu Sep 26 17:30:03 2019  elapsed time 07:26:27 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.120).
Factorization parameters were as follows:
#
# N = 37x10^216+53 = 41(215)7
#
n: 11462405212898011484511841754914120605961799734209598419665389445149588963294468714565496986354408807783393133209355414450885314231464503807175414244790759492220173418172776733956118856621532262093081191
m: 1000000000000000000000000000000000000
deg: 6
c6: 37
c0: 53
skew: 1.06
# Murphy_E = 2.603e-12
type: snfs
lss: 1
rlim: 30000000
alim: 30000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 30000000/30000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 55000000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9222327 hash collisions in 55662138 relations (48511299 unique)
Msieve: matrix is 4096966 x 4097191 (1438.1 MB)

Sieving start time: 2019/09/25 11:58:18
Sieving end time  : 2019/09/26 10:01:53

Total sieving time: 22hrs 3min 35secs.

Total relation processing time: 6hrs 59min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 5sec.

Prototype def-par.txt line would be:
snfs,217,6,0,0,0,0,0,0,0,0,30000000,30000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.048000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284064K/16703460K available (12300K kernel code, 2481K rwdata, 4172K rodata, 2436K init, 2384K bss, 419396K reserved, 0K cma-reserved)
[    0.080573] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.87 BogoMIPS (lpj=11977744)
[    0.078218] smpboot: Total of 16 processors activated (95821.95 BogoMIPS)

1140129148197166070519341297379817993053834084142306214421368639156098121030264195450842052298110135471550790620241218720500056453622517114446608439841144389220022700587544348277986909<184>

3400132539656879671063030846611451637<37>
335319030919959622135031116519266324993580343186805383080230972584740655749271290838847540447195938134577384904095134831568968693561283267818182857<147>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2466313075
Step 1 took 25486ms
Step 2 took 9430ms
********** Factor found in step 2: 3400132539656879671063030846611451637
Found probable prime factor of 37 digits: 3400132539656879671063030846611451637

5283657818676329450823315942931713979901258705859693476958537675405728687855573630603618250543096880913830060045148193691519769877642385223078453712474594952116468388542281274667049<181>

2140098604595201503191037414921877<34>

2468885222078695050368781238693250684238818965896803942571200252601966224690387741411622818410093311584426760346632910484603230831043988896242528837<148>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3105994489
Step 1 took 22795ms
Step 2 took 8206ms
********** Factor found in step 2: 2140098604595201503191037414921877
Found probable prime factor of 34 digits: 2140098604595201503191037414921877

2468885222078695050368781238693250684238818965896803942571200252601966224690387741411622818410093311584426760346632910484603230831043988896242528837<148>

6732315012930027122346948815222023738000939<43>
366721583487548492535592624826745938265520000516612997791532066306605073671006248447016972655374502863183<105>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2799009041
Step 1 took 35960ms
Step 2 took 16117ms
********** Factor found in step 2: 6732315012930027122346948815222023738000939
Found probable prime factor of 43 digits: 6732315012930027122346948815222023738000939
Probable prime cofactor 

381431514165577826222209704058744029789385136975158073922774651493043983133427235902949016360568708846239749374693783816993328231751678066695187294391362464644878832179994929858854487<183>

84959789256658511094511947927879145717777724938349745763<56>
186680742144777087742179758140873636492026489711177102509633<60>
24049365719081724969995041235144875509949594775329362414936511771453<68>

Number: 41117_220
N = 381431514165577826222209704058744029789385136975158073922774651493043983133427235902949016360568708846239749374693783816993328231751678066695187294391362464644878832179994929858854487 (183 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=84959789256658511094511947927879145717777724938349745763 (pp56)
r2=186680742144777087742179758140873636492026489711177102509633 (pp60)
r3=24049365719081724969995041235144875509949594775329362414936511771453 (pp68)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 52.03 hours.
Factorization parameters were as follows:
n: 381431514165577826222209704058744029789385136975158073922774651493043983133427235902949016360568708846239749374693783816993328231751678066695187294391362464644878832179994929858854487
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 37
c0: 53
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: 30170793
Relations: 8694354 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 23.06 hours.
Total relation processing time: 0.34 hours.
Pruned matrix : 7449003 x 7449228
Matrix solve time: 28.03 hours.
time per square root: 0.60 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: 52.03 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

19576719576719576719576719576719576719576719576719576719576719576719576719576719576719576719576719576719576719576719576719576719576719576719576719576719576719576719576719576719576719576719576719576719576719576719576719577<221>

539831859423762974601811789321<30>
106750734330094786191139879231283<33>
339711725178913842251349388736034143840255079778068817987934391040694719816146740827844386737437165674221906042718887813320692807683157649166099147463028152939<159>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4138305001
Step 1 took 15110ms
Step 2 took 8375ms
********** Factor found in step 2: 539831859423762974601811789321
Found probable prime factor of 30 digits: 539831859423762974601811789321
Composite cofactor 36264476123392403272648594332568303883963549640327992036010089522158474943114343858281576264828225567314755311327380336287445594290522103140950993499177887764409620802543743303045494677190737 has 191 digits

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1808940290
Step 1 took 10219ms
********** Factor found in step 1: 106750734330094786191139879231283
Found probable prime factor of 33 digits: 106750734330094786191139879231283
Probable prime cofactor 339711725178913842251349388736034143840255079778068817987934391040694719816146740827844386737437165674221906042718887813320692807683157649166099147463028152939 has 159 digits

GMP-ECM 7.0

25119413959998894745785760048631185426557860227841231454149974985816017401100624095234351572539809688530808248373704644437071556995644768851492191630170534343568272496488882996010154489148175553202477480275659090990867871<221>

5604921146249198359767071098862810108532015865288711720800054434804709071223453101606917749444182091141805450808584431378798453543595200774143685422561215079095334847615285972221706259806767520146214679401721290677<214>

979427587088467137203957170574401358877443170405612256869687310078183724060910190881544581472908218988246061574354259802614989837295807103915252535135540018507454137013792997057863272795174773191<195>

264420678095019896745439718341489<33>
3825847699591958249679098925012292726783<40>
968164691949083443369340591709780124967642922705899942716299562003668660286761750419264158427043168693190035828387395685193<123>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2345211971
Step 1 took 26802ms
********** Factor found in step 1: 264420678095019896745439718341489
Found probable prime factor of 33 digits: 264420678095019896745439718341489

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3794948872
Step 1 took 19375ms
Step 2 took 7940ms
********** Factor found in step 2: 3825847699591958249679098925012292726783
Found probable prime factor of 40 digits: 3825847699591958249679098925012292726783

1017140236556704428423057373942059516437303142553402077759178890009374051822069090462185515920129730500482993807786399060907188937807353096835915263478295644425941471187142423212993628216566057056317042168687276351<214>

68624251097950322037823914262268671<35>
14821877401691375308740963858106088033796939945484064758580337225735218305330956799611781641924218441671058539411268430748788322995494197808230142272946858114932244419336209734081<179>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=987242156
Step 1 took 37154ms
Step 2 took 10550ms
********** Factor found in step 2: 68624251097950322037823914262268671
Found probable prime factor of 35 digits: 68624251097950322037823914262268671

1404145032276666251568271952864658363164883061014477749400138045379103997992043132782043510773419837825216890234451579993149524579179710844495797510342698547465689765827528549664942210246768804930599768351002688687<214>

80416491314362445817519692248507053833248742809952875668547196471029391605199732659204422651164119133774506206628046325862648230983610238778464445512506909098980219034182447047203586512843371306077129332401048014017<215>

298756719629980276060474987147128903019679435146102852159781473089198944955982375329879951691195025981110684399969132356086348062083750447425651191229910426282906872478603997<174>

152824173060771770789360110688020954352627121354800922950706480083690322532010497184498523562945231667833030358986250842217868790169201574035371191517515824709963053516507598309936422249<186>

255796466586621094668527865382949<33>
1503918356607238364670371428847598292516656017<46>
3656344436359910252989256841631301532069939139<46>
108649104836497006362965432073060497778808932688408237022318327<63>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3009128758
Step 1 took 22857ms
Step 2 took 9232ms
********** Factor found in step 2: 1503918356607238364670371428847598292516656017
Found probable prime factor of 46 digits: 1503918356607238364670371428847598292516656017

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=643479598
Step 1 took 16445ms
Step 2 took 7006ms
********** Factor found in step 2: 255796466586621094668527865382949
Found probable prime factor of 33 digits: 255796466586621094668527865382949
Composite cofactor 397258549984410445754645180674632385031534563109711613323279262289170773220904586535769912404625831574300453 has 108 digits

N=397258549984410445754645180674632385031534563109711613323279262289170773220904586535769912404625831574300453
  ( 108 digits)
Divisors found:
 r1=3656344436359910252989256841631301532069939139 (pp46)
 r2=108649104836497006362965432073060497778808932688408237022318327 (pp63)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 16.09 hours.
Scaled time: 16.91 units (timescale=1.051).
Factorization parameters were as follows:
name: c108
n: 397258549984410445754645180674632385031534563109711613323279262289170773220904586535769912404625831574300453
skew: 16744.74
# norm 5.27e+14
c5: 47940
c4: 1433498536
c3: -42606410800779
c2: -582072958602526233
c1: 5627280152830463424319
c0: -3812818409694232725010983
# alpha -5.68
Y1: 337915003309
Y0: -383418228019456508368
# Murphy_E 1.30e-09
# M 249032913566600744358240075364286912799493023327543131212532487004956116738280297983217835684540033848042815
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 314920 x 315145
Polynomial selection time: 1.09 hours.
Total sieving time: 14.55 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
gnfs,107,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 16.09 hours.
 --------- CPU info (if available) ----------

819568822339746937344637651238636710208031340549860127855084836876768465143505351380294824579647749201203733483762084667537667630488867963076426453454355843472737066510654353540162812425973086297408714069928219081212080603<222>

7880783612385766586383419030477875673563526345686824269429428491488616956868799329195494097473628387139678848017951430523788769006348975390450406282847140344038654619802173270502614882100239308075997842189550060890852839576929<226>

221911200032660623087865535328624631255163704030437883829354508302809407665801548416974983944732150021519071837807465347016368292529444158303703042692978221248064970092685937491381707089120007<192>

44970654040548319410870372054602392394383397747845750431544564445243721248361013672131506258162584673289181064978399569654954825902974553027611550470329419942898866935553767106676209249848070200436522870541571118171316620322542003450481847<239>

177133861864369067847848305107086623<36>
253879487339254370985282514043653119756767385921748622657254926878463887886088434242221927038928058809519331910950160260895340244427139185242012599497473962331822751195420922362276860759383139193695638889<204>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=957918317
Step 1 took 36316ms
Step 2 took 9695ms
********** Factor found in step 2: 177133861864369067847848305107086623
Found probable prime factor of 36 digits: 177133861864369067847848305107086623

861334658692772581154125893083342364068601163228777004647536209977805275281071616315934020182632669932963505266843192555968363564018693951752916063326030144348805203193363226966693669139014829361431536752221671609668493286117<225>

6669246965877353020670816844394773926637394165699412473119356433310746227239597494252583932661339765363809079446063013468391025477840350025966651759338504000437364704414729277431535260599834058278117023033694301826411<217>

903150298405957391480677346708671<33>
7384426465504626911116493353275159840318942785986632261414365196276527909926468705267926047208987588023983834563104367821431172820259726197533544797127669913685191575010876194280377941<184>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2485263537
Step 1 took 39039ms
Step 2 took 13556ms
********** Factor found in step 2: 903150298405957391480677346708671
Found probable prime factor of 33 digits: 903150298405957391480677346708671

76989026306931433576941595354209579476713499646478473468839177717207379588243575543447422668017133903097345271751212152593630839814552715717057587889921622864074315649473360513733158514390898962045277304272879776276984456173<224>