71345015069951768077547992983958140668139335468299255992644732785995915834420335213880239988477107<98>

3536462375192796870546965456753026665578804701991<49>
20174119642955981100844036468742758967519435241877<50>

SNFS difficulty: 105 digits.
Divisors found:
 r1=3536462375192796870546965456753026665578804701991 (pp49)
 r2=20174119642955981100844036468742758967519435241877 (pp50)
Version: Msieve-1.40
Total time: 0.42 hours.
Scaled time: 0.84 units (timescale=2.015).
Factorization parameters were as follows:
n: 71345015069951768077547992983958140668139335468299255992644732785995915834420335213880239988477107
m: 50000000000000000000000000
deg: 4
c4: 212
c0: -425
skew: 1.19
type: snfs
lss: 1
rlim: 400000
alim: 400000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
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: 44/44
Sieved rational special-q in [200000, 320001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 34633 x 34864
Total sieving time: 0.40 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,105.000,4,0,0,0,0,0,0,0,0,400000,400000,25,25,44,44,2.2,2.2,20000
total time: 0.42 hours.

42150710916673858134656553899915395570225911665995794361124020760449882967755843422642816331084577<98>

66094496635789648498726769864747288141<38>
637734048402595454621522275124133541105908678950119792488997<60>

SNFS difficulty: 105 digits.
Divisors found:
 r1=66094496635789648498726769864747288141 (pp38)
 r2=637734048402595454621522275124133541105908678950119792488997 (pp60)
Version: Msieve-1.41
Total time: 0.42 hours.
Scaled time: 0.84 units (timescale=1.848).
Factorization parameters were as follows:
n: 42150710916673858134656553899915395570225911665995794361124020760449882967755843422642816331084577
m: 100000000000000000000000000
deg: 4
c4: 53
c0: -17
skew: 0.75
type: snfs
lss: 1
rlim: 400000
alim: 400000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
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: 44/44
Sieved rational special-q in [200000, 260001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 39510 x 39752
Total sieving time: 0.40 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,105,4,0,0,0,0,0,0,0,0,400000,400000,25,25,44,44,2.2,2.2,20000
total time: 0.42 hours.

Msieve-1.41

1006074394639578460861665960829727793726759540115934699440062720584295891926720766143730739603153<97>

1184825813345484206359746383415693747268967<43>
849132744499225818718955971430604327755370155419332359<54>

Number: n
N=1006074394639578460861665960829727793726759540115934699440062720584295891926720766143730739603153
  ( 97 digits)
SNFS difficulty: 111 digits.
Divisors found:
 r1=1184825813345484206359746383415693747268967 (pp43)
 r2=849132744499225818718955971430604327755370155419332359 (pp54)
Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 0.60 hours.
Scaled time: 1.56 units (timescale=2.627).
Factorization parameters were as follows:
name: KA_5_8_108_7
n: 1006074394639578460861665960829727793726759540115934699440062720584295891926720766143730739603153
m: 10000000000000000000000
deg: 5
c5: 53
c0: -170
skew: 1.26
type: snfs
lss: 1
rlim: 510000
alim: 510000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
qintsize: 20000
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, 395001)
Primes: RFBsize:42291, AFBsize:42411, largePrimes:1076456 encountered
Relations: rels:1001878, finalFF:95374
Max relations in full relation-set: 28
Initial matrix: 84767 x 95374 with sparse part having weight 4131287.
Pruned matrix : 78247 x 78734 with weight 2783143.
Total sieving time: 0.55 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Total square root time: 0.02 hours, sqrts: 1.
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: 0.60 hours.
 --------- CPU info (if available) ----------

59863994831779548547391373386370555107607649273242788480501437709143034117417916270887605765499<95>

5067488575798423942258912441786211<34>
11813345789802296777872794313744435491728937700087705183033609<62>

Fri Apr 24 06:48:16 2009  Msieve v. 1.41
Fri Apr 24 06:48:16 2009  random seeds: 4fb1af00 b2fd5f23
Fri Apr 24 06:48:16 2009  factoring 59863994831779548547391373386370555107607649273242788480501437709143034117417916270887605765499 (95 digits)
Fri Apr 24 06:48:17 2009  searching for 15-digit factors
Fri Apr 24 06:48:19 2009  commencing quadratic sieve (95-digit input)
Fri Apr 24 06:48:19 2009  using multiplier of 3
Fri Apr 24 06:48:19 2009  using 32kb Intel Core sieve core
Fri Apr 24 06:48:19 2009  sieve interval: 36 blocks of size 32768
Fri Apr 24 06:48:19 2009  processing polynomials in batches of 6
Fri Apr 24 06:48:19 2009  using a sieve bound of 2150039 (80000 primes)
Fri Apr 24 06:48:19 2009  using large prime bound of 322505850 (28 bits)
Fri Apr 24 06:48:19 2009  using double large prime bound of 2067129303583950 (43-51 bits)
Fri Apr 24 06:48:19 2009  using trial factoring cutoff of 51 bits
Fri Apr 24 06:48:19 2009  polynomial 'A' values have 12 factors
Fri Apr 24 06:48:19 2009  restarting with 1761 full and 115577 partial relations
Fri Apr 24 11:14:39 2009  80263 relations (18873 full + 61390 combined from 1218465 partial), need 80096
Fri Apr 24 11:14:40 2009  begin with 1237338 relations
Fri Apr 24 11:14:42 2009  reduce to 213249 relations in 11 passes
Fri Apr 24 11:14:42 2009  attempting to read 213249 relations
Fri Apr 24 11:14:46 2009  recovered 213249 relations
Fri Apr 24 11:14:46 2009  recovered 200611 polynomials
Fri Apr 24 11:14:46 2009  attempting to build 80263 cycles
Fri Apr 24 11:14:46 2009  found 80263 cycles in 6 passes
Fri Apr 24 11:14:46 2009  distribution of cycle lengths:
Fri Apr 24 11:14:46 2009     length 1 : 18873
Fri Apr 24 11:14:46 2009     length 2 : 13543
Fri Apr 24 11:14:46 2009     length 3 : 13334
Fri Apr 24 11:14:46 2009     length 4 : 11007
Fri Apr 24 11:14:46 2009     length 5 : 8458
Fri Apr 24 11:14:46 2009     length 6 : 5909
Fri Apr 24 11:14:46 2009     length 7 : 3736
Fri Apr 24 11:14:46 2009     length 9+: 5403
Fri Apr 24 11:14:46 2009  largest cycle: 21 relations
Fri Apr 24 11:14:46 2009  matrix is 80000 x 80263 (22.1 MB) with weight 5481572 (68.30/col)
Fri Apr 24 11:14:46 2009  sparse part has weight 5481572 (68.30/col)
Fri Apr 24 11:14:48 2009  filtering completed in 3 passes
Fri Apr 24 11:14:48 2009  matrix is 76727 x 76791 (21.3 MB) with weight 5264271 (68.55/col)
Fri Apr 24 11:14:48 2009  sparse part has weight 5264271 (68.55/col)
Fri Apr 24 11:14:48 2009  saving the first 48 matrix rows for later
Fri Apr 24 11:14:48 2009  matrix is 76679 x 76791 (14.7 MB) with weight 4313718 (56.17/col)
Fri Apr 24 11:14:48 2009  sparse part has weight 3380078 (44.02/col)
Fri Apr 24 11:14:48 2009  matrix includes 64 packed rows
Fri Apr 24 11:14:48 2009  using block size 30716 for processor cache size 1024 kB
Fri Apr 24 11:14:49 2009  commencing Lanczos iteration
Fri Apr 24 11:14:49 2009  memory use: 13.4 MB
Fri Apr 24 11:15:34 2009  lanczos halted after 1214 iterations (dim = 76677)
Fri Apr 24 11:15:35 2009  recovered 16 nontrivial dependencies
Fri Apr 24 11:15:37 2009  prp34 factor: 5067488575798423942258912441786211
Fri Apr 24 11:15:37 2009  prp62 factor: 11813345789802296777872794313744435491728937700087705183033609
Fri Apr 24 11:15:37 2009  elapsed time 04:27:21

117903353400321857683749787677987415989823219588292979192960515969393246858575069561884069119267<96>

167266927763015205609857861924093563<36>
704881442955466017239089882681824408103143399235767556204409<60>

Fri Apr 24 12:54:32 2009  Msieve v. 1.41
Fri Apr 24 12:54:32 2009  random seeds: 59d15950 4f27dd33
Fri Apr 24 12:54:32 2009  factoring 117903353400321857683749787677987415989823219588292979192960515969393246858575069561884069119267 (96 digits)
Fri Apr 24 12:54:33 2009  searching for 15-digit factors
Fri Apr 24 12:54:34 2009  commencing quadratic sieve (96-digit input)
Fri Apr 24 12:54:34 2009  using multiplier of 3
Fri Apr 24 12:54:34 2009  using 32kb Intel Core sieve core
Fri Apr 24 12:54:34 2009  sieve interval: 36 blocks of size 32768
Fri Apr 24 12:54:34 2009  processing polynomials in batches of 6
Fri Apr 24 12:54:34 2009  using a sieve bound of 2191457 (81176 primes)
Fri Apr 24 12:54:34 2009  using large prime bound of 328718550 (28 bits)
Fri Apr 24 12:54:34 2009  using double large prime bound of 2139358506583350 (43-51 bits)
Fri Apr 24 12:54:34 2009  using trial factoring cutoff of 51 bits
Fri Apr 24 12:54:34 2009  polynomial 'A' values have 12 factors
Fri Apr 24 17:40:31 2009  81350 relations (19358 full + 61992 combined from 1224123 partial), need 81272
Fri Apr 24 17:40:33 2009  begin with 1243481 relations
Fri Apr 24 17:40:34 2009  reduce to 214446 relations in 11 passes
Fri Apr 24 17:40:34 2009  attempting to read 214446 relations
Fri Apr 24 17:40:37 2009  recovered 214446 relations
Fri Apr 24 17:40:37 2009  recovered 201995 polynomials
Fri Apr 24 17:40:38 2009  attempting to build 81350 cycles
Fri Apr 24 17:40:38 2009  found 81350 cycles in 5 passes
Fri Apr 24 17:40:38 2009  distribution of cycle lengths:
Fri Apr 24 17:40:38 2009     length 1 : 19358
Fri Apr 24 17:40:38 2009     length 2 : 13809
Fri Apr 24 17:40:38 2009     length 3 : 13726
Fri Apr 24 17:40:38 2009     length 4 : 11158
Fri Apr 24 17:40:38 2009     length 5 : 8472
Fri Apr 24 17:40:38 2009     length 6 : 5816
Fri Apr 24 17:40:38 2009     length 7 : 3810
Fri Apr 24 17:40:38 2009     length 9+: 5201
Fri Apr 24 17:40:38 2009  largest cycle: 20 relations
Fri Apr 24 17:40:38 2009  matrix is 81176 x 81350 (22.6 MB) with weight 5591847 (68.74/col)
Fri Apr 24 17:40:38 2009  sparse part has weight 5591847 (68.74/col)
Fri Apr 24 17:40:40 2009  filtering completed in 3 passes
Fri Apr 24 17:40:40 2009  matrix is 77874 x 77938 (21.8 MB) with weight 5392030 (69.18/col)
Fri Apr 24 17:40:40 2009  sparse part has weight 5392030 (69.18/col)
Fri Apr 24 17:40:40 2009  saving the first 48 matrix rows for later
Fri Apr 24 17:40:40 2009  matrix is 77826 x 77938 (15.6 MB) with weight 4492035 (57.64/col)
Fri Apr 24 17:40:40 2009  sparse part has weight 3631965 (46.60/col)
Fri Apr 24 17:40:40 2009  matrix includes 64 packed rows
Fri Apr 24 17:40:40 2009  using block size 31175 for processor cache size 1024 kB
Fri Apr 24 17:40:41 2009  commencing Lanczos iteration
Fri Apr 24 17:40:41 2009  memory use: 14.0 MB
Fri Apr 24 17:41:26 2009  lanczos halted after 1233 iterations (dim = 77826)
Fri Apr 24 17:41:26 2009  recovered 18 nontrivial dependencies
Fri Apr 24 17:41:27 2009  prp36 factor: 167266927763015205609857861924093563
Fri Apr 24 17:41:27 2009  prp60 factor: 704881442955466017239089882681824408103143399235767556204409
Fri Apr 24 17:41:27 2009  elapsed time 04:46:55

3640241419494281102214649384034662170741936618630879393491492058162045661401457588404315829927<94>

3631090387354731446722862437746442697<37>
1002520188473252584276320790788755291702994964270538468591<58>

Fri Apr 24 18:28:38 2009  Msieve v. 1.41
Fri Apr 24 18:28:38 2009  random seeds: 752e6e18 d6e9ebde
Fri Apr 24 18:28:38 2009  factoring 3640241419494281102214649384034662170741936618630879393491492058162045661401457588404315829927 (94 digits)
Fri Apr 24 18:28:39 2009  searching for 15-digit factors
Fri Apr 24 18:28:41 2009  commencing quadratic sieve (94-digit input)
Fri Apr 24 18:28:41 2009  using multiplier of 3
Fri Apr 24 18:28:41 2009  using 32kb Intel Core sieve core
Fri Apr 24 18:28:41 2009  sieve interval: 36 blocks of size 32768
Fri Apr 24 18:28:41 2009  processing polynomials in batches of 6
Fri Apr 24 18:28:41 2009  using a sieve bound of 2024387 (75294 primes)
Fri Apr 24 18:28:41 2009  using large prime bound of 271267858 (28 bits)
Fri Apr 24 18:28:41 2009  using double large prime bound of 1513968973265930 (42-51 bits)
Fri Apr 24 18:28:41 2009  using trial factoring cutoff of 51 bits
Fri Apr 24 18:28:41 2009  polynomial 'A' values have 12 factors
Fri Apr 24 21:36:38 2009  75663 relations (18586 full + 57077 combined from 1073486 partial), need 75390
Fri Apr 24 21:36:39 2009  begin with 1092072 relations
Fri Apr 24 21:36:40 2009  reduce to 196620 relations in 11 passes
Fri Apr 24 21:36:40 2009  attempting to read 196620 relations
Fri Apr 24 21:36:43 2009  recovered 196620 relations
Fri Apr 24 21:36:43 2009  recovered 180006 polynomials
Fri Apr 24 21:36:43 2009  attempting to build 75663 cycles
Fri Apr 24 21:36:44 2009  found 75663 cycles in 5 passes
Fri Apr 24 21:36:44 2009  distribution of cycle lengths:
Fri Apr 24 21:36:44 2009     length 1 : 18586
Fri Apr 24 21:36:44 2009     length 2 : 13344
Fri Apr 24 21:36:44 2009     length 3 : 12710
Fri Apr 24 21:36:44 2009     length 4 : 10087
Fri Apr 24 21:36:44 2009     length 5 : 7735
Fri Apr 24 21:36:44 2009     length 6 : 5214
Fri Apr 24 21:36:44 2009     length 7 : 3265
Fri Apr 24 21:36:44 2009     length 9+: 4722
Fri Apr 24 21:36:44 2009  largest cycle: 20 relations
Fri Apr 24 21:36:44 2009  matrix is 75294 x 75663 (19.9 MB) with weight 4913605 (64.94/col)
Fri Apr 24 21:36:44 2009  sparse part has weight 4913605 (64.94/col)
Fri Apr 24 21:36:45 2009  filtering completed in 4 passes
Fri Apr 24 21:36:45 2009  matrix is 71656 x 71720 (18.9 MB) with weight 4671198 (65.13/col)
Fri Apr 24 21:36:45 2009  sparse part has weight 4671198 (65.13/col)
Fri Apr 24 21:36:45 2009  saving the first 48 matrix rows for later
Fri Apr 24 21:36:46 2009  matrix is 71608 x 71720 (12.0 MB) with weight 3712909 (51.77/col)
Fri Apr 24 21:36:46 2009  sparse part has weight 2707303 (37.75/col)
Fri Apr 24 21:36:46 2009  matrix includes 64 packed rows
Fri Apr 24 21:36:46 2009  using block size 28688 for processor cache size 1024 kB
Fri Apr 24 21:36:46 2009  commencing Lanczos iteration
Fri Apr 24 21:36:46 2009  memory use: 11.5 MB
Fri Apr 24 21:37:20 2009  lanczos halted after 1134 iterations (dim = 71607)
Fri Apr 24 21:37:20 2009  recovered 17 nontrivial dependencies
Fri Apr 24 21:37:21 2009  prp37 factor: 3631090387354731446722862437746442697
Fri Apr 24 21:37:21 2009  prp58 factor: 1002520188473252584276320790788755291702994964270538468591
Fri Apr 24 21:37:21 2009  elapsed time 03:08:43

38261190193866987506255557978380732540145471618486590937431508095963724885554235794135631857004773884620065767<110>

162409129263521507054727247357759<33>
235585218437968568279588300257584868514845787402833345248144612223210092321113<78>

Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=1932810670
Step 1 took 7136ms
Step 2 took 9389ms
********** Factor found in step 2: 162409129263521507054727247357759
Found probable prime factor of 33 digits: 162409129263521507054727247357759
Probable prime cofactor has 78 digits

GMP-ECM 6.2.2

3752088251277616965378755358494011502094212586258828900203423274576430990063210653009341614049<94>

333310210633105268385300246208958849<36>
11257045633707776513130579531935967239498275141186226824801<59>

Sat Apr 25 07:11:07 2009  Msieve v. 1.41
Sat Apr 25 07:11:07 2009  random seeds: 54733750 bd397ade
Sat Apr 25 07:11:07 2009  factoring 3752088251277616965378755358494011502094212586258828900203423274576430990063210653009341614049 (94 digits)
Sat Apr 25 07:11:08 2009  searching for 15-digit factors
Sat Apr 25 07:11:09 2009  commencing quadratic sieve (94-digit input)
Sat Apr 25 07:11:10 2009  using multiplier of 1
Sat Apr 25 07:11:10 2009  using 32kb Intel Core sieve core
Sat Apr 25 07:11:10 2009  sieve interval: 36 blocks of size 32768
Sat Apr 25 07:11:10 2009  processing polynomials in batches of 6
Sat Apr 25 07:11:10 2009  using a sieve bound of 2023667 (75294 primes)
Sat Apr 25 07:11:10 2009  using large prime bound of 271171378 (28 bits)
Sat Apr 25 07:11:10 2009  using double large prime bound of 1512999890036866 (42-51 bits)
Sat Apr 25 07:11:10 2009  using trial factoring cutoff of 51 bits
Sat Apr 25 07:11:10 2009  polynomial 'A' values have 12 factors
Sat Apr 25 10:02:45 2009  75406 relations (18873 full + 56533 combined from 1065411 partial), need 75390
Sat Apr 25 10:02:47 2009  begin with 1084284 relations
Sat Apr 25 10:02:48 2009  reduce to 194604 relations in 11 passes
Sat Apr 25 10:02:48 2009  attempting to read 194604 relations
Sat Apr 25 10:02:51 2009  recovered 194604 relations
Sat Apr 25 10:02:51 2009  recovered 177197 polynomials
Sat Apr 25 10:02:51 2009  attempting to build 75406 cycles
Sat Apr 25 10:02:51 2009  found 75406 cycles in 6 passes
Sat Apr 25 10:02:51 2009  distribution of cycle lengths:
Sat Apr 25 10:02:51 2009     length 1 : 18873
Sat Apr 25 10:02:51 2009     length 2 : 13359
Sat Apr 25 10:02:51 2009     length 3 : 12926
Sat Apr 25 10:02:51 2009     length 4 : 10168
Sat Apr 25 10:02:51 2009     length 5 : 7471
Sat Apr 25 10:02:51 2009     length 6 : 5003
Sat Apr 25 10:02:51 2009     length 7 : 3191
Sat Apr 25 10:02:51 2009     length 9+: 4415
Sat Apr 25 10:02:51 2009  largest cycle: 21 relations
Sat Apr 25 10:02:51 2009  matrix is 75294 x 75406 (19.0 MB) with weight 4689045 (62.18/col)
Sat Apr 25 10:02:51 2009  sparse part has weight 4689045 (62.18/col)
Sat Apr 25 10:02:53 2009  filtering completed in 3 passes
Sat Apr 25 10:02:53 2009  matrix is 71416 x 71480 (18.2 MB) with weight 4481400 (62.69/col)
Sat Apr 25 10:02:53 2009  sparse part has weight 4481400 (62.69/col)
Sat Apr 25 10:02:53 2009  saving the first 48 matrix rows for later
Sat Apr 25 10:02:53 2009  matrix is 71368 x 71480 (10.9 MB) with weight 3486418 (48.77/col)
Sat Apr 25 10:02:53 2009  sparse part has weight 2428371 (33.97/col)
Sat Apr 25 10:02:53 2009  matrix includes 64 packed rows
Sat Apr 25 10:02:53 2009  using block size 28592 for processor cache size 1024 kB
Sat Apr 25 10:02:53 2009  commencing Lanczos iteration
Sat Apr 25 10:02:53 2009  memory use: 10.9 MB
Sat Apr 25 10:03:25 2009  lanczos halted after 1130 iterations (dim = 71366)
Sat Apr 25 10:03:25 2009  recovered 16 nontrivial dependencies
Sat Apr 25 10:03:26 2009  prp36 factor: 333310210633105268385300246208958849
Sat Apr 25 10:03:26 2009  prp59 factor: 11257045633707776513130579531935967239498275141186226824801
Sat Apr 25 10:03:26 2009  elapsed time 02:52:19

19682048087495862967660904785941718578127783173067256935609610238613756161755275463953558441169432519094303387901<113>

4186857306152507699817842593643290853547861453707<49>
4700912079944416830169055586945991616973525269591821004558075543<64>

Number: 58887_126
N=19682048087495862967660904785941718578127783173067256935609610238613756161755275463953558441169432519094303387901
  ( 113 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=4186857306152507699817842593643290853547861453707
 r2=4700912079944416830169055586945991616973525269591821004558075543
Version: 
Total time: 3.85 hours.
Scaled time: 3.00 units (timescale=0.779).
Factorization parameters were as follows:
n: 19682048087495862967660904785941718578127783173067256935609610238613756161755275463953558441169432519094303387901
m: 20000000000000000000000000
deg: 5
c5: 265
c0: -272
skew: 1.01
type: snfs
lss: 1
rlim: 990000
alim: 990000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 990000/990000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [495000, 895001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 157081 x 157329
Total sieving time: 3.85 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,128,5,0,0,0,0,0,0,0,0,990000,990000,26,26,47,47,2.3,2.3,50000
total time: 3.85 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

83946129660887876362622100012087832005382299917977951928607011873563078474950417997646958051278093<98>

112604159725354687671910018636786167653258924591<48>
745497589659523189147719856571126344213064487387523<51>

Number: n
N=83946129660887876362622100012087832005382299917977951928607011873563078474950417997646958051278093
  ( 98 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=112604159725354687671910018636786167653258924591 (pp48)
 r2=745497589659523189147719856571126344213064487387523 (pp51)
Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 2.60 hours.
Scaled time: 6.88 units (timescale=2.649).
Factorization parameters were as follows:
name: KA_5_8_127_7
n: 83946129660887876362622100012087832005382299917977951928607011873563078474950417997646958051278093
m: 50000000000000000000000000
deg: 5
c5: 424
c0: -425
skew: 1.00
type: snfs
lss: 1
rlim: 1070000
alim: 1070000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
qintsize: 20000
Factor base limits: 1070000/1070000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [535000, 1055001)
Primes: RFBsize:83548, AFBsize:84061, largePrimes:2777007 encountered
Relations: rels:2655347, finalFF:192381
Max relations in full relation-set: 28
Initial matrix: 167676 x 192381 with sparse part having weight 15348036.
Pruned matrix : 160977 x 161879 with weight 10790182.
Total sieving time: 2.33 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.06 hours.
Total square root time: 0.14 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,1070000,1070000,26,26,47,47,2.3,2.3,50000
total time: 2.60 hours.
 --------- CPU info (if available) ----------

34838028594877064284253557354927967622169804547748141483986966848529666618721039767304379796183953057786696135848119<116>

57168349928028616133688579199585387<35>
609393635442267750361101031452473824611828346367866478338485749744303280641982437<81>

Number: 58887_129
N=34838028594877064284253557354927967622169804547748141483986966848529666618721039767304379796183953057786696135848119
  ( 116 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=57168349928028616133688579199585387 (pp35)
 r2=609393635442267750361101031452473824611828346367866478338485749744303280641982437 (pp81)
Version: Msieve-1.39
Total time: 2.82 hours.
Scaled time: 7.26 units (timescale=2.571).
Factorization parameters were as follows:
n: 34838028594877064284253557354927967622169804547748141483986966848529666618721039767304379796183953057786696135848119
m: 100000000000000000000000000
deg: 5
c5: 53
c0: -170
skew: 1.26
type: snfs
lss: 1
rlim: 1100000
alim: 1100000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1100000/1100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [550000, 1050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 160216 x 160464
Total sieving time: 2.82 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,131,5,0,0,0,0,0,0,0,0,1100000,1100000,26,26,47,47,2.3,2.3,50000
total time: 2.82 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

136847933762861630345641521460499618964693259638600633332006830957902789614521855357701923093125596328853821<108>

2684522574849883505513247949489097<34>
50976637352551995002585907351700594122427409787504925659946717615102657493<74>

Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=2846608915
Step 1 took 7404ms
Step 2 took 5757ms
********** Factor found in step 2: 2684522574849883505513247949489097
Found probable prime factor of 34 digits: 2684522574849883505513247949489097
Probable prime cofactor has 74 digits

GMP-ECM 6.2.2

148421386236793474713355586446923384287979293005900666819660923606388680051470227246194467606188867817466602149376651<117>

5584838927938453061724271226184215519985376889149<49>
26575768460269751918333188566808886042747046132589556424376472164199<68>

Number: 58887_137
N=148421386236793474713355586446923384287979293005900666819660923606388680051470227246194467606188867817466602149376651
  ( 117 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=5584838927938453061724271226184215519985376889149
 r2=26575768460269751918333188566808886042747046132589556424376472164199
Version: 
Total time: 7.27 hours.
Scaled time: 7.31 units (timescale=1.005).
Factorization parameters were as follows:
n: 148421386236793474713355586446923384287979293005900666819660923606388680051470227246194467606188867817466602149376651
m: 2000000000000000000000000000
deg: 5
c5: 1325
c0: -136
skew: 0.63
type: snfs
lss: 1
rlim: 1490000
alim: 1490000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1490000/1490000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [745000, 1645001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 265186 x 265427
Total sieving time: 7.27 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,139,5,0,0,0,0,0,0,0,0,1490000,1490000,26,26,48,48,2.3,2.3,75000
total time: 7.27 hours.
 --------- CPU info (if available) ----------

GGNFS, Msive

5888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<139>

14212328108433255333011168440885868143857201519173<50>
414350755482105931010853345568490156490520800534066379136735288507168858874680066897030219<90>

SNFS difficulty: 141 digits.
Divisors found:
 r1=14212328108433255333011168440885868143857201519173 (pp50)
 r2=414350755482105931010853345568490156490520800534066379136735288507168858874680066897030219 (pp90)
Version: Msieve-1.40
Total time: 6.39 hours.
Factorization parameters were as follows:
n: 5888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887
m: 5000000000000000000000000000
deg: 5
c5: 424
c0: -425
skew: 1.00
type: snfs
lss: 1
rlim: 1570000
alim: 1570000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1570000/1570000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [785000, 1885001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 260637 x 260870
Total sieving time: 6.00 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.23 hours.
Prototype def-par.txt line would be:
snfs,141.000,5,0,0,0,0,0,0,0,0,1570000,1570000,26,26,48,48,2.3,2.3,100000
total time: 6.39 hours.

Msieve-1.41

Phenom II X4 940/openSUSE/x86_64

3528782412284122116403286244880646943846723460132929373308594335392789097445085449072815348528186472100920160758037287181<121>

3197499649810280310555966924736478732434405762799143<52>
1103606817437336719982382319701730917790387846170402709338588861412267<70>

Number: 58887_143
N=3528782412284122116403286244880646943846723460132929373308594335392789097445085449072815348528186472100920160758037287181
  ( 121 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=3197499649810280310555966924736478732434405762799143 (pp52)
 r2=1103606817437336719982382319701730917790387846170402709338588861412267 (pp70)
Version: Msieve-1.39
Total time: 9.26 hours.
Scaled time: 23.82 units (timescale=2.571).
Factorization parameters were as follows:
n: 3528782412284122116403286244880646943846723460132929373308594335392789097445085449072815348528186472100920160758037287181
m: 50000000000000000000000000000
deg: 5
c5: 424
c0: -425
skew: 1.00
type: snfs
lss: 1
rlim: 1910000
alim: 1910000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1910000/1910000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [955000, 2455001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 319640 x 319868
Total sieving time: 9.26 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1910000,1910000,26,26,49,49,2.3,2.3,100000
total time: 9.26 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

473555246026821580479096651610338154141012072413920587982512535283509902483472861171889354142003106781845080102990067<117>

493043766422451686167629421455051011<36>
960473041699645228846742337228722619911387336255548265515490052356974875912822097<81>

GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Input number is 473555246026821580479096651610338154141012072413920587982512535283509902483472861171889354142003106781845080102990067 (117 digits)
Using B1=2400000, B2=3567796060, polynomial Dickson(6), sigma=4105013632
Step 1 took 26785ms
Step 2 took 9594ms
********** Factor found in step 2: 493043766422451686167629421455051011
Found probable prime factor of 36 digits: 493043766422451686167629421455051011
Probable prime cofactor 960473041699645228846742337228722619911387336255548265515490052356974875912822097 has 81 digits

49497900375007139446580117975996554390248271087641053217622845679414045570759456353804961562101355551901183<107>

2579775523673369950784734958514551180203035362426083<52>
19186902085390185374523921439602412837798066940823099701<56>

Number: 58887_147
N=49497900375007139446580117975996554390248271087641053217622845679414045570759456353804961562101355551901183
  ( 107 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=2579775523673369950784734958514551180203035362426083 (pp52)
 r2=19186902085390185374523921439602412837798066940823099701 (pp56)
Version: Msieve-1.39
Total time: 12.45 hours.
Scaled time: 32.15 units (timescale=2.583).
Factorization parameters were as follows:
n: 49497900375007139446580117975996554390248271087641053217622845679414045570759456353804961562101355551901183
m: 200000000000000000000000000000
deg: 5
c5: 1325
c0: -136
skew: 0.63
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1100000, 3100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 402501 x 402749
Total sieving time: 12.45 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,149,5,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000
total time: 12.45 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

9847505076507975189294121039002185454967285936943322205169240479190597831569216491897858739911533<97>

1293513234549944335404040049217391458765838967629<49>
7612991358325177921065847363673485843300748322977<49>

N=9847505076507975189294121039002185454967285936943322205169240479190597831569216491897858739911533
  ( 97 digits)
Divisors found:
 r1=1293513234549944335404040049217391458765838967629 (pp49)
 r2=7612991358325177921065847363673485843300748322977 (pp49)
Version: Msieve-1.40
Total time: 2.08 hours.
Factorization parameters were as follows:
n: 9847505076507975189294121039002185454967285936943322205169240479190597831569216491897858739911533
skew: 3372.48
# norm 5.25e+13
c5: 140400
c4: -913012644
c3: -6915870530610
c2: 2736702776419444
c1: 6677853531088220367
c0: 9789361965300509717732
# alpha -6.05
Y1: 1013445211
Y0: -2339871812921506437
# Murphy_E 4.64e-09
# M 1911477931379528567900052509646008537492807656147084893400253968977167626506619701535654175781347
type: gnfs
rlim: 1200000
alim: 1200000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.4
alambda: 2.4
qintsize: 60000
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [600000, 1020001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 137001 x 137249
Polynomial selection time: 0.26 hours.
Total sieving time: 1.60 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
gnfs,96,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 2.08 hours.

394406339036956571634680918351574479618516919731322456206028760825031051850575746378939836515426834482961187849144726626761004449<129>

131330752110030357457784241422186029366093966226597288556911<60>
3003152975980207409359615676165557286711523353567898461432663515019759<70>

Number: n
N=394406339036956571634680918351574479618516919731322456206028760825031051850575746378939836515426834482961187849144726626761004449
  ( 129 digits)
SNFS difficulty: 151 digits.
Divisors found:

Sat Apr 25 14:53:44 2009  prp60 factor: 131330752110030357457784241422186029366093966226597288556911
Sat Apr 25 14:53:44 2009  prp70 factor: 3003152975980207409359615676165557286711523353567898461432663515019759
Sat Apr 25 14:53:44 2009  elapsed time 00:30:53 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 14.25 hours.
Scaled time: 23.12 units (timescale=1.623).
Factorization parameters were as follows:
name: KA_5_8_148_7
n: 394406339036956571634680918351574479618516919731322456206028760825031051850575746378939836515426834482961187849144726626761004449
m: 1000000000000000000000000000000
deg: 5
c5: 53
c0: -170
skew: 1.26
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [1200000, 2100000)
Primes: RFBsize:176302, AFBsize:177593, largePrimes:12023284 encountered
Relations: rels:11768502, finalFF:640523
Max relations in full relation-set: 28
Initial matrix: 353960 x 640523 with sparse part having weight 76137185.
Pruned matrix : 278048 x 279881 with weight 34253707.

Msieve: found 1026664 hash collisions in 12593327 relations
Msieve: matrix is 353458 x 353706 (92.8 MB)

Total sieving time: 13.96 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 0.02 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,28,28,56,56,2.4,2.4,100000
total time: 14.25 hours.
 --------- CPU info (if available) ----------

99534050801307145446580083087138050744490378834399385389609897359260896132388374257778620864667781554294052423079449182857<122>

646588374346983737232638435333887307048501<42>
153937272537308898972231509958686605521190984086624596387981731443058693734868357<81>

Number: 58887_150
N=99534050801307145446580083087138050744490378834399385389609897359260896132388374257778620864667781554294052423079449182857
  ( 122 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=646588374346983737232638435333887307048501 (pp42)
 r2=153937272537308898972231509958686605521190984086624596387981731443058693734868357 (pp81)
Version: Msieve-1.39
Total time: 13.05 hours.
Scaled time: 33.54 units (timescale=2.571).
Factorization parameters were as follows:
n: 99534050801307145446580083087138050744490378834399385389609897359260896132388374257778620864667781554294052423079449182857
m: 1000000000000000000000000000000
deg: 5
c5: 53
c0: -17
skew: 0.80
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 : 410988 x 411236
Total sieving time: 13.05 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,49,49,2.4,2.4,100000
total time: 13.05 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

6012496321152096259587445596313959195882890027045872444206377914501626152518858072335323398759172848423407980293982711731882453<127>

1259429971180200006189700716076596071<37>
4773982244934065198215618554300837516932709210804279640544817629668719303310081359797913443<91>

Number: 58887_153
N=6012496321152096259587445596313959195882890027045872444206377914501626152518858072335323398759172848423407980293982711731882453
  ( 127 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=1259429971180200006189700716076596071 (pp37)
 r2=4773982244934065198215618554300837516932709210804279640544817629668719303310081359797913443 (pp91)
Version: Msieve-1.39
Total time: 22.23 hours.
Scaled time: 57.14 units (timescale=2.571).
Factorization parameters were as follows:
n: 6012496321152096259587445596313959195882890027045872444206377914501626152518858072335323398759172848423407980293982711731882453
m: 5000000000000000000000000000000
deg: 5
c5: 424
c0: -425
skew: 1.00
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, 2600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 520131 x 520379
Total sieving time: 22.23 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 22.23 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

3578402107835750531698448482643947610984702739732320519120106422645908869862545312176728426906934381208959970689773175902877349108209185797638459<145>

4922032361863921654624733150235114276655806509234915061421645406483<67>
727017184113077927619676603072589808158867829035481257917742796614728442684473<78>

Number: n
N=3578402107835750531698448482643947610984702739732320519120106422645908869862545312176728426906934381208959970689773175902877349108209185797638459
  ( 145 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=4922032361863921654624733150235114276655806509234915061421645406483 (pp67)
 r2=727017184113077927619676603072589808158867829035481257917742796614728442684473 (pp78)
Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 19.09 hours.
Scaled time: 48.76 units (timescale=2.554).
Factorization parameters were as follows:
name: KA_5_8_154_7
n: 3578402107835750531698448482643947610984702739732320519120106422645908869862545312176728426906934381208959970689773175902877349108209185797638459
m: 10000000000000000000000000000000
deg: 5
c5: 53
c0: -17
skew: 0.80
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved rational special-q in [1450000, 2550001)
Primes: RFBsize:210109, AFBsize:209174, largePrimes:13191696 encountered
Relations: rels:12964330, finalFF:660670
Max relations in full relation-set: 28
Initial matrix: 419348 x 660670 with sparse part having weight 77279116.
Pruned matrix : 341602 x 343762 with weight 40442152.
Total sieving time: 17.68 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 0.70 hours.
Total square root time: 0.44 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2900000,2900000,28,28,56,56,2.4,2.4,100000
total time: 19.09 hours.
 --------- CPU info (if available) ----------

150488999807799992509622990698558863388953783720787139244149406501198616489318219808265088701481814071635773688508952434430736032327990150409780126769094023<156>

40079032860800981034271182219977895493<38>
3845042550038572909061181163224247339297802581922082119<55>
976531759921969567716202456727446938275394815869598707738421069<63>

GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Input number is 150488999807799992509622990698558863388953783720787139244149406501198616489318219808265088701481814071635773688508952434430736032327990150409780126769094023 (156 digits)
Using B1=1398000, B2=2139965110, polynomial Dickson(6), sigma=2643783734
Step 1 took 23821ms
Step 2 took 9563ms
********** Factor found in step 2: 40079032860800981034271182219977895493
Found probable prime factor of 38 digits: 40079032860800981034271182219977895493
Composite cofactor 3754806168364025338444730098765301182030827656499506159990711901017869567305316246258327391762206262324084086017765211 has 118 digits


Number: n
N=3754806168364025338444730098765301182030827656499506159990711901017869567305316246258327391762206262324084086017765211
  ( 118 digits)
Divisors found:

Mon Apr 27 18:53:56 2009  prp55 factor: 3845042550038572909061181163224247339297802581922082119
Mon Apr 27 18:53:56 2009  prp63 factor: 976531759921969567716202456727446938275394815869598707738421069
Mon Apr 27 18:53:56 2009  elapsed time 00:56:10 (Msieve 1.39 - dependency 2)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 27.34 hours.
Scaled time: 72.15 units (timescale=2.639).
Factorization parameters were as follows:
name: KA_5_8_160_7
n: 3754806168364025338444730098765301182030827656499506159990711901017869567305316246258327391762206262324084086017765211
Y0: -46560131168840686478827
Y1:  3378042388439
c0:  81517691767964263443146531760
c1:  2433157487496539211369302
c2: -4257028842031457161
c3: -501233010921252
c4: -401084884
c5:  17160
skew: 94782.03
type: gnfs
rlim: 4500000
alim: 4500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 50000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2250000, 3750001)
Primes: RFBsize:315948, AFBsize:316419, largePrimes:14325298 encountered
Relations: rels:13552992, finalFF:777281
Max relations in full relation-set: 28
Initial matrix: 632452 x 777281 with sparse part having weight 74821822.
Pruned matrix : 

Msieve: found 1227986 hash collisions in 14513606 relations
Msieve: matrix is 580380 x 580628 (160.7 MB)

Total sieving time: 26.66 hours.
Total relation processing time: 0.68 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,117,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,28,28,56,56,2.4,2.4,60000
total time: 27.34 hours.
 --------- CPU info (if available) ----------

29717473657351880511406397184182422265767672183342114852866813048791098856416018648200989323953206454366254829764036411860857577932495626927<140>

62622882318570911412650973707031773485945464667516361<53>
474546564403968967469298671548430514892021736391287023805749850667560421046179684788407<87>

Number: 58887_163
N=29717473657351880511406397184182422265767672183342114852866813048791098856416018648200989323953206454366254829764036411860857577932495626927
  ( 140 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=62622882318570911412650973707031773485945464667516361 (pp53)
 r2=474546564403968967469298671548430514892021736391287023805749850667560421046179684788407 (pp87)
Version: Msieve-1.39
Total time: 50.02 hours.
Scaled time: 128.54 units (timescale=2.570).
Factorization parameters were as follows:
n: 29717473657351880511406397184182422265767672183342114852866813048791098856416018648200989323953206454366254829764036411860857577932495626927
m: 500000000000000000000000000000000
deg: 5
c5: 424
c0: -425
skew: 1.00
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2050000, 4650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 766824 x 767072
Total sieving time: 50.02 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 50.02 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

735213231951590231540841857992038334295352911368102815547623575819141983963196057925369753299893616032531382160647420448887906754986583745711660745425759901831<159>

26420433379971578160086373777968563<35>
1931614398915714664197849198169905631094719<43>
14406316220093108541547534674609427084176701563508733048745187396069463990428743523<83>

Number: 58887_164
N=735213231951590231540841857992038334295352911368102815547623575819141983963196057925369753299893616032531382160647420448887906754986583745711660745425759901831
  ( 159 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=26420433379971578160086373777968563 (pp35)
 r2=1931614398915714664197849198169905631094719 (pp43)
 r3=14406316220093108541547534674609427084176701563508733048745187396069463990428743523 (pp83)
Version: Msieve-1.39
Total time: 44.59 hours.
Scaled time: 77.54 units (timescale=1.739).
Factorization parameters were as follows:
n: 735213231951590231540841857992038334295352911368102815547623575819141983963196057925369753299893616032531382160647420448887906754986583745711660745425759901831
m: 1000000000000000000000000000000000
deg: 5
c5: 53
c0: -170
skew: 1.26
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2100000, 4700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 784296 x 784544
Total sieving time: 44.59 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 44.59 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

304349669563139773775039543739558410678652128462622576347732269179402880997642153306106637637619365345888591599963791904886218573<129>

105286041996195116463905211753052493939462823619<48>
2890693427093959193600294796557751916681459460044103037225919482688402201684641967<82>

N=304349669563139773775039543739558410678652128462622576347732269179402880997642153306106637637619365345888591599963791904886218573
  ( 129 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=105286041996195116463905211753052493939462823619 (pp48)
 r2=2890693427093959193600294796557751916681459460044103037225919482688402201684641967 (pp82)
Version: Msieve-1.39
Total time: 23.99 hours.
Scaled time: 55.15 units (timescale=2.299).
Factorization parameters were as follows:
n: 304349669563139773775039543739558410678652128462622576347732269179402880997642153306106637637619365345888591599963791904886218573
m: 1000000000000000000000000000000000
deg: 5
c5: 53
c0: -17
skew: 0.80
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 26
lpba: 26
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4

Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 51/51
Sieved rational special-q in [2100000, 4500001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 688361 x 688609
Total sieving time: 23.27 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.55 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4200000,4200000,26,26,51,51,2.4,2.4,200000
total time: 23.99 hours.
 --------- CPU info (if available) ----------
[    0.144009] CPU0: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.236014] CPU1: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.331180] CPU2: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.428163] CPU3: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.004000] Memory: 8197992k/10485760k available (2226k kernel code, 189844k reserved, 1082k data, 392k init)
[    0.083917] Calibrating delay using timer specific routine.. 6004.15 BogoMIPS (lpj=12008301)
[    0.156009] Calibrating delay using timer specific routine.. 5999.99 BogoMIPS (lpj=11999993)
[    0.248015] Calibrating delay using timer specific routine.. 6000.00 BogoMIPS (lpj=12000012)
[    0.347710] Calibrating delay using timer specific routine.. 6000.00 BogoMIPS (lpj=12000008)
[    0.435711] Total of 4 processors activated (24004.15 BogoMIPS).

msieve 1.41, ggnfs

Q6700, 3 cores

1907826769329344895483490099099001810635594288038646090934943107165869339064012987620724038257326234777882168299118440045643855537917157122133310295425175394074218061<166>

10349469969241347631837446124602660629190655792332907<53>
184340529031864544303987400282044404412493423618646133662587944074027945204887635621848468895056963952913120131623<114>

Number: 58887_169
N=1907826769329344895483490099099001810635594288038646090934943107165869339064012987620724038257326234777882168299118440045643855537917157122133310295425175394074218061
  ( 166 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=10349469969241347631837446124602660629190655792332907 (pp53)
 r2=184340529031864544303987400282044404412493423618646133662587944074027945204887635621848468895056963952913120131623 (pp114)
Version: Msieve-1.39
Total time: 72.50 hours.
Scaled time: 186.41 units (timescale=2.571).
Factorization parameters were as follows:
n: 1907826769329344895483490099099001810635594288038646090934943107165869339064012987620724038257326234777882168299118440045643855537917157122133310295425175394074218061
m: 10000000000000000000000000000000000
deg: 5
c5: 53
c0: -170
skew: 1.26
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2550000, 6150001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1038042 x 1038289
Total sieving time: 72.50 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,171,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 72.50 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

10299302603719411508616502097188696854986727292241823681488296293899090572336868769552116649099303398527333908486413361785907527066254281534906361<146>

193846180805187407600600338763753217911145985598911<51>
53131315566490633270278975197275951466009849466986055887204243258100677263931552140266771322951<95>

Number: 58887_170
N=10299302603719411508616502097188696854986727292241823681488296293899090572336868769552116649099303398527333908486413361785907527066254281534906361
  ( 146 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=193846180805187407600600338763753217911145985598911
 r2=53131315566490633270278975197275951466009849466986055887204243258100677263931552140266771322951
Version: 
Total time: 40.30 hours.
Scaled time: 96.07 units (timescale=2.384).
Factorization parameters were as follows:
n: 10299302603719411508616502097188696854986727292241823681488296293899090572336868769552116649099303398527333908486413361785907527066254281534906361
m: 10000000000000000000000000000000000
deg: 5
c5: 53
c0: -17
skew: 0.80
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [3000000, 6000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 11211532
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1011596 x 1011844
Total sieving time: 36.00 hours.
Total relation processing time: 1.69 hours.
Matrix solve time: 2.35 hours.
Time per square root: 0.26 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,52,52,2.4,2.4,100000
total time: 40.30 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673798)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672348)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672343)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

39589051414335786219779136907255676791651409958393399062648114925032159590315040696903315183432781704808484207829668531805818885421344665748404991<146>

208315392186507557875574457526219127<36>
190043812887773452615147548555234527720338584588002284271867096892313001181562043797469305967347210061472949433<111>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2640349756
Step 1 took 47357ms
Step 2 took 15663ms
********** Factor found in step 2: 208315392186507557875574457526219127
Found probable prime factor of 36 digits: 208315392186507557875574457526219127
Probable prime cofactor 190043812887773452615147548555234527720338584588002284271867096892313001181562043797469305967347210061472949433 has 111 digits

GMP-ECM 6.2.1

1026835583763134757111827743505291707298409787469351610735503794427710637760652455066965204525218862138477944518935430298676319066586637571255996521<148>

2304234693696564452184889753635478729<37>
445629773118221555360661795059797928608659721343404960229733255857158430909747499740789126681201443189374617249<111>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2779584171
Step 1 took 47347ms
Step 2 took 15487ms
********** Factor found in step 2: 2304234693696564452184889753635478729
Found probable prime factor of 37 digits: 2304234693696564452184889753635478729
Probable prime cofactor 445629773118221555360661795059797928608659721343404960229733255857158430909747499740789126681201443189374617249 has 111 digits

GMP-ECM 6.2.1

46670182687182823858190388202052272707202530760852156637261367736981057260922608933352482598528167825942744674211516865779491264626564234965111347<146>

94477344411455237397371776504048434903560228374174051674823<59>
493982795324252717538637342714292805585357901311720346644447040842949360065368174612789<87>

~ 40 hours of sieving @3.6ghz Phenom 2

Wed Jul  4 03:56:24 2012  searching for 15-digit factors
Wed Jul  4 03:56:25 2012  commencing number field sieve (146-digit input)
Wed Jul  4 03:56:25 2012  R0: -50000000000000000000000000000000000
Wed Jul  4 03:56:25 2012  R1: 1
Wed Jul  4 03:56:25 2012  A0: -85
Wed Jul  4 03:56:25 2012  A1: 0
Wed Jul  4 03:56:25 2012  A2: 0
Wed Jul  4 03:56:25 2012  A3: 0
Wed Jul  4 03:56:25 2012  A4: 0
Wed Jul  4 03:56:25 2012  A5: 848
Wed Jul  4 03:56:25 2012  skew 0.63, size 1.764e-12, alpha 0.407, combined = 1.192e-10 rroots = 1
Wed Jul  4 03:56:25 2012  
Wed Jul  4 03:56:25 2012  commencing relation filtering
Wed Jul  4 03:56:25 2012  estimated available RAM is 16079.7 MB
Wed Jul  4 03:56:25 2012  commencing duplicate removal, pass 1
Wed Jul  4 03:56:27 2012  error -9 reading relation 186026
Wed Jul  4 03:56:28 2012  error -15 reading relation 306122
Wed Jul  4 03:56:32 2012  error -9 reading relation 731525
Wed Jul  4 03:56:37 2012  error -9 reading relation 1147540
Wed Jul  4 03:56:55 2012  error -5 reading relation 2917973
Wed Jul  4 03:57:00 2012  error -9 reading relation 3442165
Wed Jul  4 03:57:05 2012  error -15 reading relation 3984065
Wed Jul  4 03:57:30 2012  error -9 reading relation 6379704
Wed Jul  4 03:57:35 2012  error -1 reading relation 6874933
Wed Jul  4 03:57:40 2012  error -11 reading relation 7384409
Wed Jul  4 03:58:03 2012  error -9 reading relation 9670903
Wed Jul  4 03:58:08 2012  error -15 reading relation 10138990
Wed Jul  4 03:58:13 2012  error -15 reading relation 10619976
Wed Jul  4 03:58:35 2012  error -15 reading relation 12782841
Wed Jul  4 03:58:39 2012  error -15 reading relation 13228009
Wed Jul  4 03:58:44 2012  error -15 reading relation 13685543
Wed Jul  4 03:59:05 2012  error -5 reading relation 15731107
Wed Jul  4 03:59:09 2012  error -9 reading relation 16153846
Wed Jul  4 03:59:13 2012  error -9 reading relation 16588515
Wed Jul  4 03:59:33 2012  error -9 reading relation 18552948
Wed Jul  4 03:59:36 2012  error -15 reading relation 18779425
Wed Jul  4 03:59:39 2012  error -11 reading relation 19159981
Wed Jul  4 03:59:44 2012  error -15 reading relation 19618184
Wed Jul  4 03:59:49 2012  error -15 reading relation 20067396
Wed Jul  4 03:59:53 2012  error -15 reading relation 20505202
Wed Jul  4 03:59:58 2012  found 2811544 hash collisions in 20939784 relations
Wed Jul  4 04:00:31 2012  added 707273 free relations
Wed Jul  4 04:00:31 2012  commencing duplicate removal, pass 2
Wed Jul  4 04:01:37 2012  found 2459483 duplicates and 19187574 unique relations
Wed Jul  4 04:01:37 2012  memory use: 98.6 MB
Wed Jul  4 04:01:37 2012  reading ideals above 720000
Wed Jul  4 04:01:37 2012  commencing singleton removal, initial pass
Wed Jul  4 04:06:23 2012  memory use: 376.5 MB
Wed Jul  4 04:06:23 2012  reading all ideals from disk
Wed Jul  4 04:06:29 2012  memory use: 582.5 MB
Wed Jul  4 04:06:32 2012  keeping 20029858 ideals with weight <= 200, target excess is 116159
Wed Jul  4 04:06:35 2012  commencing in-memory singleton removal
Wed Jul  4 04:06:38 2012  begin with 19187573 relations and 20029858 unique ideals
Wed Jul  4 04:07:04 2012  reduce to 8917511 relations and 7586340 ideals in 14 passes
Wed Jul  4 04:07:04 2012  max relations containing the same ideal: 120
Wed Jul  4 04:07:12 2012  removing 1958761 relations and 1558761 ideals in 400000 cliques
Wed Jul  4 04:07:12 2012  commencing in-memory singleton removal
Wed Jul  4 04:07:13 2012  begin with 6958750 relations and 7586340 unique ideals
Wed Jul  4 04:07:24 2012  reduce to 6700520 relations and 5756055 ideals in 9 passes
Wed Jul  4 04:07:24 2012  max relations containing the same ideal: 100
Wed Jul  4 04:07:29 2012  removing 1497868 relations and 1097868 ideals in 400000 cliques
Wed Jul  4 04:07:29 2012  commencing in-memory singleton removal
Wed Jul  4 04:07:30 2012  begin with 5202652 relations and 5756055 unique ideals
Wed Jul  4 04:07:38 2012  reduce to 4986850 relations and 4430116 ideals in 9 passes
Wed Jul  4 04:07:38 2012  max relations containing the same ideal: 79
Wed Jul  4 04:07:41 2012  removing 1354804 relations and 954804 ideals in 400000 cliques
Wed Jul  4 04:07:42 2012  commencing in-memory singleton removal
Wed Jul  4 04:07:42 2012  begin with 3632046 relations and 4430116 unique ideals
Wed Jul  4 04:07:47 2012  reduce to 3386414 relations and 3211115 ideals in 9 passes
Wed Jul  4 04:07:47 2012  max relations containing the same ideal: 58
Wed Jul  4 04:07:50 2012  removing 236754 relations and 196200 ideals in 40554 cliques
Wed Jul  4 04:07:50 2012  commencing in-memory singleton removal
Wed Jul  4 04:07:50 2012  begin with 3149660 relations and 3211115 unique ideals
Wed Jul  4 04:07:53 2012  reduce to 3139325 relations and 3004450 ideals in 6 passes
Wed Jul  4 04:07:53 2012  max relations containing the same ideal: 55
Wed Jul  4 04:07:56 2012  relations with 0 large ideals: 2876
Wed Jul  4 04:07:56 2012  relations with 1 large ideals: 1768
Wed Jul  4 04:07:56 2012  relations with 2 large ideals: 25830
Wed Jul  4 04:07:56 2012  relations with 3 large ideals: 151200
Wed Jul  4 04:07:56 2012  relations with 4 large ideals: 463927
Wed Jul  4 04:07:56 2012  relations with 5 large ideals: 815863
Wed Jul  4 04:07:56 2012  relations with 6 large ideals: 889190
Wed Jul  4 04:07:56 2012  relations with 7+ large ideals: 788671
Wed Jul  4 04:07:56 2012  commencing 2-way merge
Wed Jul  4 04:07:59 2012  reduce to 2005476 relation sets and 1870601 unique ideals
Wed Jul  4 04:07:59 2012  commencing full merge
Wed Jul  4 04:08:38 2012  memory use: 227.5 MB
Wed Jul  4 04:08:38 2012  found 1024803 cycles, need 1006801
Wed Jul  4 04:08:38 2012  weight of 1006801 cycles is about 70674299 (70.20/cycle)
Wed Jul  4 04:08:38 2012  distribution of cycle lengths:
Wed Jul  4 04:08:38 2012  1 relations: 107751
Wed Jul  4 04:08:38 2012  2 relations: 109436
Wed Jul  4 04:08:38 2012  3 relations: 113386
Wed Jul  4 04:08:38 2012  4 relations: 109597
Wed Jul  4 04:08:38 2012  5 relations: 102275
Wed Jul  4 04:08:38 2012  6 relations: 91566
Wed Jul  4 04:08:38 2012  7 relations: 78645
Wed Jul  4 04:08:38 2012  8 relations: 65939
Wed Jul  4 04:08:38 2012  9 relations: 54621
Wed Jul  4 04:08:38 2012  10+ relations: 173585
Wed Jul  4 04:08:38 2012  heaviest cycle: 21 relations
Wed Jul  4 04:08:39 2012  commencing cycle optimization
Wed Jul  4 04:08:40 2012  start with 5859307 relations
Wed Jul  4 04:08:50 2012  pruned 164380 relations
Wed Jul  4 04:08:50 2012  memory use: 187.6 MB
Wed Jul  4 04:08:50 2012  distribution of cycle lengths:
Wed Jul  4 04:08:50 2012  1 relations: 107751
Wed Jul  4 04:08:50 2012  2 relations: 111674
Wed Jul  4 04:08:50 2012  3 relations: 117413
Wed Jul  4 04:08:50 2012  4 relations: 112914
Wed Jul  4 04:08:50 2012  5 relations: 105492
Wed Jul  4 04:08:50 2012  6 relations: 93595
Wed Jul  4 04:08:50 2012  7 relations: 80284
Wed Jul  4 04:08:50 2012  8 relations: 66533
Wed Jul  4 04:08:50 2012  9 relations: 54109
Wed Jul  4 04:08:50 2012  10+ relations: 157036
Wed Jul  4 04:08:50 2012  heaviest cycle: 20 relations
Wed Jul  4 04:08:52 2012  RelProcTime: 747
Wed Jul  4 04:08:52 2012  
Wed Jul  4 04:08:52 2012  commencing linear algebra
Wed Jul  4 04:08:53 2012  read 1006801 cycles
Wed Jul  4 04:08:54 2012  cycles contain 3056038 unique relations
Wed Jul  4 04:10:09 2012  read 3056038 relations
Wed Jul  4 04:10:14 2012  using 20 quadratic characters above 268435400
Wed Jul  4 04:10:27 2012  building initial matrix
Wed Jul  4 04:10:57 2012  memory use: 378.7 MB
Wed Jul  4 04:10:58 2012  read 1006801 cycles
Wed Jul  4 04:10:58 2012  matrix is 1006898 x 1006801 (300.8 MB) with weight 89010736 (88.41/col)
Wed Jul  4 04:10:58 2012  sparse part has weight 67781062 (67.32/col)
Wed Jul  4 04:11:08 2012  filtering completed in 2 passes
Wed Jul  4 04:11:08 2012  matrix is 1006048 x 1006120 (300.7 MB) with weight 88984606 (88.44/col)
Wed Jul  4 04:11:08 2012  sparse part has weight 67769192 (67.36/col)
Wed Jul  4 04:11:11 2012  matrix starts at (0, 0)
Wed Jul  4 04:11:12 2012  matrix is 1006048 x 1006120 (300.7 MB) with weight 88984606 (88.44/col)
Wed Jul  4 04:11:12 2012  sparse part has weight 67769192 (67.36/col)
Wed Jul  4 04:11:12 2012  saving the first 48 matrix rows for later
Wed Jul  4 04:11:12 2012  matrix includes 64 packed rows
Wed Jul  4 04:11:12 2012  matrix is 1006000 x 1006120 (285.5 MB) with weight 70730000 (70.30/col)
Wed Jul  4 04:11:12 2012  sparse part has weight 64770233 (64.38/col)
Wed Jul  4 04:11:12 2012  using block size 65536 for processor cache size 6144 kB
Wed Jul  4 04:11:15 2012  commencing Lanczos iteration (4 threads)
Wed Jul  4 04:11:15 2012  memory use: 248.5 MB
Wed Jul  4 04:11:19 2012  linear algebra at 0.2%, ETA 0h44m
Wed Jul  4 04:11:20 2012  checkpointing every 1470000 dimensions
Wed Jul  4 04:58:53 2012  lanczos halted after 15909 iterations (dim = 1005949)
Wed Jul  4 04:58:54 2012  recovered 29 nontrivial dependencies
Wed Jul  4 04:58:54 2012  BLanczosTime: 3002
Wed Jul  4 04:58:54 2012  
Wed Jul  4 04:58:54 2012  commencing square root phase
Wed Jul  4 04:58:54 2012  reading relations for dependency 1
Wed Jul  4 04:58:54 2012  read 503420 cycles
Wed Jul  4 04:58:55 2012  cycles contain 1528130 unique relations
Wed Jul  4 05:00:25 2012  read 1528130 relations
Wed Jul  4 05:00:31 2012  multiplying 1528130 relations
Wed Jul  4 05:01:06 2012  multiply complete, coefficients have about 48.17 million bits
Wed Jul  4 05:01:06 2012  initial square root is modulo 8225941
Wed Jul  4 05:01:53 2012  GCD is N, no factor found
Wed Jul  4 05:01:53 2012  reading relations for dependency 2
Wed Jul  4 05:01:53 2012  read 503736 cycles
Wed Jul  4 05:01:54 2012  cycles contain 1528982 unique relations
Wed Jul  4 05:03:25 2012  read 1528982 relations
Wed Jul  4 05:03:30 2012  multiplying 1528982 relations
Wed Jul  4 05:04:05 2012  multiply complete, coefficients have about 48.19 million bits
Wed Jul  4 05:04:06 2012  initial square root is modulo 8305901
Wed Jul  4 05:04:53 2012  GCD is N, no factor found
Wed Jul  4 05:04:53 2012  reading relations for dependency 3
Wed Jul  4 05:04:53 2012  read 503027 cycles
Wed Jul  4 05:04:53 2012  cycles contain 1526360 unique relations
Wed Jul  4 05:06:24 2012  read 1526360 relations
Wed Jul  4 05:06:30 2012  multiplying 1526360 relations
Wed Jul  4 05:07:05 2012  multiply complete, coefficients have about 48.11 million bits
Wed Jul  4 05:07:05 2012  initial square root is modulo 8086801
Wed Jul  4 05:07:52 2012  sqrtTime: 538
Wed Jul  4 05:07:52 2012  prp59 factor: 94477344411455237397371776504048434903560228374174051674823
Wed Jul  4 05:07:52 2012  prp87 factor: 493982795324252717538637342714292805585357901311720346644447040842949360065368174612789
Wed Jul  4 05:07:52 2012  elapsed time 01:11:28

35967958656839156237330500958996754719162798090734526819434877925473723695693355563282668574608562314599573889247247308783951533014626273<137>

64213906236378218837062493226542858935536321076843<50>
560127249141911329347602061817361495759114461819200533472692599040846059444250550167011<87>

GMP-ECM 6.3.1 [configured with MPIR 2.4.0, --enable-asm-redc] [ECM]
Input number is 35967958656839156237330500958996754719162798090734526819434877925473723695693355563282668574608562314599573889247247308783951533014626273
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=881074462
Step 1 took 11528ms
Step 2 took 5273ms
********** Factor found in step 2: 64213906236378218837062493226542858935536321076843
Found probable prime factor of 50 digits: 64213906236378218837062493226542858935536321076843
Probable prime cofactor 560127249141911329347602061817361495759114461819200533472692599040846059444250550167011 has 87 digits

GMP-ECM

132640525749294118102139295123428335192313886562409838069300157486717226157984219970666790975658435729365925900696341064979<123>

1267882575806183686123062369811279771630970712791<49>
104615780893553633888163173944050869226186736163185458497293997297646226469<75>

Number: 58887_179
N=132640525749294118102139295123428335192313886562409838069300157486717226157984219970666790975658435729365925900696341064979
  ( 123 digits)
Divisors found:
 r1=1267882575806183686123062369811279771630970712791 (pp49)
 r2=104615780893553633888163173944050869226186736163185458497293997297646226469 (pp75)
Version: Msieve v. 1.41
Total time: 103.57 hours.
Scaled time: 81.20 units (timescale=0.784).
Factorization parameters were as follows:
# Murphy_E = 2.204181e-10, selected by Jeff Gilchrist
n: 132640525749294118102139295123428335192313886562409838069300157486717226157984219970666790975658435729365925900696341064979
Y0: -360317732448563326023454
Y1: 19879181277307
c0: 171606085697399885470075292375
c1: -919211884570549739620675
c2: 6162561620072014696
c3: -1776083482988118
c4: -4172818468
c5: 21840
skew: 146902.99
type: gnfs
# selected mechanically
rlim: 6000000
alim: 6000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [3000000, 5500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 812357 x 812605
Total sieving time: 97.10 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 4.27 hours.
Time per square root: 1.93 hours.
Prototype def-par.txt line would be:
gnfs,122,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,6000000,6000000,27,27,52,52,2.5,2.5,100000
total time: 103.57 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

68004239319809262400755090107058344927457150257816080623665074773991792976221163997527382058345364709499960210064787032395035945646560173745955272347704679<155>

163791378840537560105623945657<30>

415188148492334126905245732407282143435541975566733911316875121942292143901688093546326219505733995710230903763865611920828447<126>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=4063546210
Step 1 took 8104ms
Step 2 took 3381ms
********** Factor found in step 2: 163791378840537560105623945657
Found probable prime factor of 30 digits: 163791378840537560105623945657
Composite cofactor 415188148492334126905245732407282143435541975566733911316875121942292143901688093546326219505733995710230903763865611920828447 has 126 digits

415188148492334126905245732407282143435541975566733911316875121942292143901688093546326219505733995710230903763865611920828447<126>

1205814952114265935016503440219167569<37>
344321612337238538343436584256305526645134320108378502567554345828498578097949097119076463<90>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3445121938
Step 1 took 7659ms
Step 2 took 3768ms
********** Factor found in step 2: 1205814952114265935016503440219167569
Found probable prime factor of 37 digits: 1205814952114265935016503440219167569
Probable prime cofactor 344321612337238538343436584256305526645134320108378502567554345828498578097949097119076463 has 90 digits

49553680000507839272627002021268357188378182624352354120166096133664518584854509450660762624689694718276183500266134879297234228851689060366503<143>

53416645375936275933005916012702314479050543979769396182514403793<65>
927682366643550621869516368963481903088581924054530156309451812155962030260471<78>

N=49553680000507839272627002021268357188378182624352354120166096133664518584854509450660762624689694718276183500266134879297234228851689060366503
  ( 143 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=53416645375936275933005916012702314479050543979769396182514403793 (pp65)
 r2=927682366643550621869516368963481903088581924054530156309451812155962030260471 (pp78)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 204.74 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 49553680000507839272627002021268357188378182624352354120166096133664518584854509450660762624689694718276183500266134879297234228851689060366503
m: 1000000000000000000000000000000000000
deg: 5
c5: 5300
c0: -17
skew: 0.32
# Murphy_E = 5.813e-11
type: snfs
lss: 1
rlim: 8100000
alim: 8100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 8100000/8100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4050000, 14250001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1624943 x 1625173
Total sieving time: 201.79 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 2.51 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,183.000,5,0,0,0,0,0,0,0,0,8100000,8100000,28,28,53,53,2.5,2.5,100000
total time: 204.74 hours.
 --------- CPU info (if available) ----------
[    0.074309] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000)
[    0.707507] Total of 16 processors activated (76799.07 BogoMIPS).

5283312555326070289198410239728499906285947643050635058291130838228629695294858071590121818546768932374454889404835461680956289118363269628467381944707170867965134371360963031<175>

923784051700444816320238706709503633<36>
5719207368432994449391079239606073584720170424302049961619530145402972759608485204216561128563887230571008596405373365670647180148939167207<139>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2293147859
Step 1 took 69801ms
Step 2 took 26072ms
********** Factor found in step 2: 923784051700444816320238706709503633
Found probable prime factor of 36 digits: 923784051700444816320238706709503633
Probable prime cofactor 5719207368432994449391079239606073584720170424302049961619530145402972759608485204216561128563887230571008596405373365670647180148939167207 has 139 digits

78104614946743819982135739825376667292712279424249001354298386590464329920461654148267774380504576199840818252584427385766767113632352134920898387704255084069128537<164>

633431156032647178697464717983305413<36>

123304031074086117806213984035126981440457516309872567604526192207416084319376640656838742070094676750542011494737768016200694149<129>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3419563904
Step 1 took 19500ms
Step 2 took 7954ms
********** Factor found in step 2: 633431156032647178697464717983305413
Found probable prime factor of 36 digits: 633431156032647178697464717983305413

123304031074086117806213984035126981440457516309872567604526192207416084319376640656838742070094676750542011494737768016200694149<129>

14938950383794395395219047797423652483<38>
8253861744386335046554978717199841636423702160309990882360307859702417489762127342937794903<91>

GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM]
Input number is 123304031074086117806213984035126981440457516309872567604526192207416084319376640656838742070094676750542011494737768016200694149 (129 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=630201414
Step 1 took 36613ms
Step 2 took 15990ms
********** Factor found in step 2: 14938950383794395395219047797423652483
Found probable prime factor of 38 digits: 14938950383794395395219047797423652483
Probable prime cofactor 8253861744386335046554978717199841636423702160309990882360307859702417489762127342937794903 has 91 digits

60872313914256492212750722399298823798449539931392493432186941894038658324329538853656628792170255338658549288458181225563308997694367588801212788321473791898768224004941857161<176>

10084513156525457970727463196872899527953549967140989<53>
6036217412723331039917515149835578292552836609990455555790073034039585668074025591780219023725303827139468556384153161668349<124>

Number: n
N=60872313914256492212750722399298823798449539931392493432186941894038658324329538853656628792170255338658549288458181225563308997694367588801212788321473791898768224004941857161
  ( 176 digits)
SNFS difficulty: 187 digits.
Divisors found:

Sat Feb 11 11:29:52 2012  prp53 factor: 10084513156525457970727463196872899527953549967140989
Sat Feb 11 11:29:52 2012  prp124 factor: 6036217412723331039917515149835578292552836609990455555790073034039585668074025591780219023725303827139468556384153161668349
Sat Feb 11 11:29:52 2012  elapsed time 03:14:38 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.654).
Factorization parameters were as follows:
name: KA_58887_186
n: 60872313914256492212750722399298823798449539931392493432186941894038658324329538853656628792170255338658549288458181225563308997694367588801212788321473791898768224004941857161
m: 10000000000000000000000000000000000000
#  c176, diff: 187.72
skew: 0.5
deg: 5
c5: 530
c0: -17
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 17200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9267747 hash collisions in 76418698 relations (71355042 unique)
Msieve: matrix is 1307045 x 1307273 (366.0 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.06 BogoMIPS (lpj=2797533)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

4613285761697920021176813737237395878310805179086625203220552142977732178880098084411546358317594839165736765342580293719164609655526671057039072542956237486384198103107<169>

129890689923511191433884640816529201121543175223851<51>
836410886255725978602210123722910442575062059357664039<54>
42463193889309059860834154236338400632963715809121748554398062863<65>

4613285761697920021176813737237395878310805179086625203220552142977732178880098084411546358317594839165736765342580293719164609655526671057039072542956237486384198103107=129890689923511191433884640816529201121543175223851*836410886255725978602210123722910442575062059357664039*42463193889309059860834154236338400632963715809121748554398062863

n: 4613285761697920021176813737237395878310805179086625203220552142977732178880098084411546358317594839165736765342580293719164609655526671057039072542956237486384198103107
skew: 0.2
type: snfs
c0: -17
c5: 53000
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 53000*x^5-17
# g(x) = -x+10000000000000000000000000000000000000

Info:Square Root: Factors: 129890689923511191433884640816529201121543175223851 836410886255725978602210123722910442575062059357664039 42463193889309059860834154236338400632963715809121748554398062863
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 4.68/2.01627
Info:Generate Free Relations: Total cpu/real time for freerel: 99.65/25.7172
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 32282511
Info:Lattice Sieving: Average J: 1894.12 for 3346729 special-q, max bucket fill -bkmult 1.0,1s:1.083060
Info:Lattice Sieving: Total time: 699866s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 65.04/81.5756
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 80.69999999999999s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 602.75/475.885
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 395.7s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 515.1/481.088
Info:Filtering - Merging: Total cpu/real time for merge: 302.64/87.7443
Info:Filtering - Merging: Total cpu/real time for replay: 84.98/72.9835
Info:Linear Algebra: Total cpu/real time for bwc: 84353.1/21637.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 13787.71, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (69120 iterations)
Info:Linear Algebra: Lingen CPU time 440.35, WCT time 128.21
Info:Linear Algebra: Mksol: WCT time 7512.56, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (34816 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 78.87/33.4718
Info:Square Root: Total cpu/real time for sqrt: 1330.84/404.675
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.39652e+06/635667
129890689923511191433884640816529201121543175223851 836410886255725978602210123722910442575062059357664039 42463193889309059860834154236338400632963715809121748554398062863

cado-nfs-3.0.0

Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

551254809088510085742879187689728211329448880120790906932831634436204117739081296457848639750144422194409705400233692357180919444738654682242877835225917204499736547833758393<174>

137715995116885951748211920877992534431677931195029359504932865587<66>
4002837931938367539474399952103136702573140268651521780153521781646487543498272139168873504968781759823261539<109>

551254809088510085742879187689728211329448880120790906932831634436204117739081296457848639750144422194409705400233692357180919444738654682242877835225917204499736547833758393=137715995116885951748211920877992534431677931195029359504932865587*4002837931938367539474399952103136702573140268651521780153521781646487543498272139168873504968781759823261539

cado polynomial
n: 551254809088510085742879187689728211329448880120790906932831634436204117739081296457848639750144422194409705400233692357180919444738654682242877835225917204499736547833758393
skew: 0.63
type: snfs
c0: -85
c5: 848
Y0: 50000000000000000000000000000000000000
Y1: -1
# f(x) = 848*x^5-85
# g(x) = -x+50000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 10900000
tasks.lim1 = 10900000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.sqrt.threads = 2
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 137715995116885951748211920877992534431677931195029359504932865587 4002837931938367539474399952103136702573140268651521780153521781646487543498272139168873504968781759823261539
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 4.96/2.04855
Info:Generate Free Relations: Total cpu/real time for freerel: 99.2/25.6494
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 27029138
Info:Lattice Sieving: Average J: 1894.1 for 3015727 special-q, max bucket fill -bkmult 1.0,1s:1.079010
Info:Lattice Sieving: Total time: 688165s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 54.87/116.112
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 115.59999999999998s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 434.13/399.903
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 346.3s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 342.03/355.396
Info:Filtering - Merging: Total cpu/real time for merge: 335.84/96.5947
Info:Filtering - Merging: Total cpu/real time for replay: 90.05/78.2802
Info:Linear Algebra: Total cpu/real time for bwc: 93875.1/24148.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 15363.32, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (72704 iterations)
Info:Linear Algebra: Lingen CPU time 464.08, WCT time 134.93
Info:Linear Algebra: Mksol: WCT time 8424.42, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (36352 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 82.75/33.518
Info:Square Root: Total cpu/real time for sqrt: 681.53/212.502
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.36251e+06/369750
Info:root: Cleaning up computation data in /tmp/cado.v0m329pe
137715995116885951748211920877992534431677931195029359504932865587 4002837931938367539474399952103136702573140268651521780153521781646487543498272139168873504968781759823261539

cado-nfs-3.0.0

Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

1786198577645956581534642932875238249499411582229915062789524715970362659312803634029676192317067553284006382625993349402746977314002119663389584044457220467<157>

72528231975487975261250031369100365497069<41>
24627631599369879808392652989301127102147509536806649007040126753409110079872190212589952309244341154816406857048543<116>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3786591989
Step 1 took 12266ms
Step 2 took 5585ms
********** Factor found in step 2: 72528231975487975261250031369100365497069
Found probable prime factor of 41 digits: 72528231975487975261250031369100365497069
Probable prime cofactor

45299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299<191>

3077325253235247465155976615079042868201<40>

14720298171771570716723886854991671208898715252902464943556125290604128965082355315462245187807878703850020843469774087345493414370248002017144961313499<152>

45299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299
=
3077325253235247465155976615079042868201* 14720298171771570716723886854991671208898715252902464943556125290604128965082355315462245187807878703850020843469774087345493414370248002017144961313499

14720298171771570716723886854991671208898715252902464943556125290604128965082355315462245187807878703850020843469774087345493414370248002017144961313499<152>

30955878554994429517866299495278628197<38>
260830264234883533140803293326399923032711<42>
1823120991418613541878724349970952485904020949548098505262099347038089097<73>

Number: 58887_191
N=45299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299
  ( 191 digits)
SNFS difficulty: 193 digits.
Divisors found:
 r1=30955878554994429517866299495278628197
 r2=3077325253235247465155976615079042868201
 r3=260830264234883533140803293326399923032711
 r4=1823120991418613541878724349970952485904020949548098505262099347038089097
Version:
Total time: 627.02 hours.
Scaled time: 1254.04 units (timescale=2.000).
Factorization parameters were as follows:
n: 45299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299
m: 200000000000000000000000000000000000000
deg: 5
c5: 265
c0: -272
skew: 1.01
type: snfs
lss: 1
rlim: 11900000
alim: 11900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5Factor base limits: 11900000/11900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5950000, 13050001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 2074170 x 2074418
Total sieving time: 627.02 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,193,5,0,0,0,0,0,0,0,0,11900000,11900000,28,28,55,55,2.5,2.5,100000
total time: 627.02 hours.
 --------- CPU info (if available) ----------

41695695229353123079517420600321355960875947350681997959817045048059807531113133069113691670276235467778690543749022162192693787153308171114126590992771773522927184007515710428566898351<185>

10987995036064059230908241003012838588367<41>

3794659088623749186843117945048518474540580727120184575245453364288522026780174067087223573036736653611423782982297579114881934464841010002174753<145>

Factor=10987995036064059230908241003012838588367  Method=ECM  B1=11000000  Sigma=3559105180

3794659088623749186843117945048518474540580727120184575245453364288522026780174067087223573036736653611423782982297579114881934464841010002174753<145>

291346539973197679913534623343330679949<39>
13024555187691048206604569768725048600303510007644509912131198337418439564924561039594897707487306127015397<107>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1433948269
Step 1 took 16521ms
Step 2 took 7077ms
********** Factor found in step 2: 291346539973197679913534623343330679949
Found probable prime factor of 39 digits: 291346539973197679913534623343330679949

25610963494424293598374759846038005511590140400031474990102206271687293604091543399158165232002848647754457000925225117148195502404229644873759249878702583958029<161>

20572446508725500234225553940201<32>

1244915789843555096011732458304270596627375015872090006518666492540398283834017403659916118975910672983647063299114503997601252229<130>

Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=376038659
Step 1 took 11933ms
Step 2 took 12688ms
********** Factor found in step 2: 20572446508725500234225553940201
Found probable prime factor of 32 digits: 20572446508725500234225553940201
Composite cofactor has 130 digits

GMP-ECM 6.2.2

1244915789843555096011732458304270596627375015872090006518666492540398283834017403659916118975910672983647063299114503997601252229<130>

267578229142949443075886986811085994355272651383439597<54>
4652530192127396493656334227280476769788587829585535767790375802292956721657<76>

Number: 58887_193
N = 1244915789843555096011732458304270596627375015872090006518666492540398283834017403659916118975910672983647063299114503997601252229 (130 digits)
Divisors found:
r1=267578229142949443075886986811085994355272651383439597 (pp54)
r2=4652530192127396493656334227280476769788587829585535767790375802292956721657 (pp76)
Version: Msieve v. 1.44
Total time: 119.08 hours.
Factorization parameters were as follows:
# Murphy_E = 8.039102e-11, selected by Jeff Gilchrist
n: 1244915789843555096011732458304270596627375015872090006518666492540398283834017403659916118975910672983647063299114503997601252229
Y0: -7625018864902528057062799
Y1: 206020157428153
c0: -236039994252092803694771056273920
c1: 2295680456613708995608082784
c2: 6382569547002010190908
c3: -41949142744907584
c4: -48437028643
c5: 48300
skew: 427417.58
type: gnfs
# selected mechanically
rlim: 9300000
alim: 9300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 9300000/9300000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [4650000, 9750000)
Total raw relations: 17540273
Relations: 2425214 relations
Pruned matrix : 1408865 x 1409090
Polynomial selection time: 0.00 hours.
Total sieving time: 108.11 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 8.89 hours.
time per square root: 1.79 hours.
Prototype def-par.txt line would be: gnfs,129,5,65,2000,1e-05,0.28,250,20,50000,3600,9300000,9300000,28,28,53,53,2.5,2.5,100000
total time: 119.08 hours.
 --------- CPU info (if available) ----------

GGNFS + Msieve

51621932212958790417437446075367928305605402381072790095273839006372238047114401962048445841688006887008716316659592778077884680706883109380079707744740362539<158>

20907600446592127599519247217459277708102360612109<50>
2469051020217530570066715314978153821538645607721824588850938552754186287637568512372963989596625366839509271<109>

51621932212958790417437446075367928305605402381072790095273839006372238047114401962048445841688006887008716316659592778077884680706883109380079707744740362539=20907600446592127599519247217459277708102360612109 2469051020217530570066715314978153821538645607721824588850938552754186287637568512372963989596625366839509271

cado polynomial
n: 51621932212958790417437446075367928305605402381072790095273839006372238047114401962048445841688006887008716316659592778077884680706883109380079707744740362539
skew: 0.50
type: snfs
c0: -17
c5: 530
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 530*x^5-17
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13800000
tasks.lim1 = 13800000
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: 20907600446592127599519247217459277708102360612109 2469051020217530570066715314978153821538645607721824588850938552754186287637568512372963989596625366839509271
Info:Square Root: Total cpu/real time for sqrt: 916.67/288.543
Info:Filtering - Singleton removal: Total cpu/real time for purge: 472.52/526.119
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 32285510
Info:Lattice Sieving: Average J: 1894.42 for 5643177 special-q, max bucket fill -bkmult 1.0,1s:1.082870
Info:Lattice Sieving: Total time: 1.51591e+06s
Info:Linear Algebra: Total cpu/real time for bwc: 188068/48145.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 122163.46, WCT time 31126.94, iteration CPU time 0.3, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (98304 iterations)
Info:Linear Algebra: Lingen CPU time 707.89, WCT time 179.62
Info:Linear Algebra: Mksol: CPU time 63983.49,  WCT time 16381.98, iteration CPU time 0.32, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (49152 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 5.85/2.79731
Info:Generate Free Relations: Total cpu/real time for freerel: 119.37/32.7695
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 138.85/167.012
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 165.90000000000003s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 593.29/616.051
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 496.3s
Info:Filtering - Merging: Merged matrix has 3139433 rows and total weight 535252216 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 893.84/246.055
Info:Filtering - Merging: Total cpu/real time for replay: 123.31/108.477
Info:Quadratic Characters: Total cpu/real time for characters: 107.94/46.3091
Info:Square Root: Total cpu/real time for sqrt: 916.67/288.543
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.15911e+06/94354.3
Info:root: Cleaning up computation data in /tmp/cado.gw_nf2qc
20907600446592127599519247217459277708102360612109 2469051020217530570066715314978153821538645607721824588850938552754186287637568512372963989596625366839509271

cado-nfs-3.0.0

6 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)

209031552072624552439865279354199917084322005754872644015361827201840639709277235396949812402039782543646434764375771068492192395609305944028758537512387379654633050669824981<174>

124131209152910945615138358610613<33>
1683956464285538192987701175282364657277752256350514234040551728309986650671586386857006585378655255901615254486990382871923560979892400767137<142>

Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=3750431010
Step 1 took 12365ms
Step 2 took 12241ms
********** Factor found in step 2: 124131209152910945615138358610613
Found probable prime factor of 33 digits: 124131209152910945615138358610613
Probable prime cofactor has 142 digits

GMP-ECM 6.2.2

5888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<199>

3105261215890219980188797697842256974579853865273347<52>
1896423031580824744009636372699045793880183375458593621015135886801884722666025272281158636589101925037831403331081551847068185738937524060810693821<148>

Number: 58887_198
N=5888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887
  ( 199 digits)
SNFS difficulty: 199 digits.
Divisors found:
 r1=3105261215890219980188797697842256974579853865273347
 r2=1896423031580824744009636372699045793880183375458593621015135886801884722666025272281158636589101925037831403331081551847068185738937524060810693821
Version: 
Total time: 495.00 hours.
Scaled time: 1183.05 units (timescale=2.390).
Factorization parameters were as follows:
n: 5888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887
m: 1000000000000000000000000000000000
deg: 6
c6: 53
c0: -17
skew: 0.83
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 55/55
Sieved rational special-q in [10000000, 20700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 35575862
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3176756 x 3177003
Total sieving time: 445.27 hours.
Total relation processing time: 22.31 hours.
Matrix solve time: 26.88 hours.
Time per square root: 0.54 hours.
Prototype def-par.txt line would be:
snfs,199,6,0,0,0,0,0,0,0,0,20000000,20000000,29,29,55,55,2.6,2.6,100000
total time: 495.00 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673793)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.61 BogoMIPS (lpj=2672305)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

17070178305098131140775216059340320060689959214834925417331236084785192258036422542825937098840744866570629199364512690373150554882249749012015118767053873064028402973058201996830808670065951117<194>

17033129343042131723119795399783<32>
179440627551006617308087186383630077<36>
6418601372244116209995402203201277923<37>
870126567592585573632839389930035462775978166234114786224389433355392972174658899238979469<90>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3769953513
Step 1 took 25038ms
Step 2 took 9558ms
********** Factor found in step 2: 17033129343042131723119795399783
Found probable prime factor of 32 digits: 17033129343042131723119795399783
Composite cofactor 1002175111884014052862920762883581298496554004464709613050251304739359685726211840475054410063345510265115970720689986952986565831641247191170176592569731656952299 has 163 digits
---------------------------
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4056795063
Step 1 took 17322ms
Step 2 took 7340ms
********** Factor found in step 2: 6418601372244116209995402203201277923
Found probable prime factor of 37 digits: 6418601372244116209995402203201277923
Composite cofactor 156136057337616932522918625137023487892475982796937651766950011790633232673692347250804848273683749803164350079769169093889113 has 126 digits
---------------------------
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4016537737
Step 1 took 11682ms
Step 2 took 5633ms
********** Factor found in step 2: 179440627551006617308087186383630077
Found probable prime factor of 36 digits: 179440627551006617308087186383630077
Probable prime cofactor 870126567592585573632839389930035462775978166234114786224389433355392972174658899238979469 has 90 digits

GMP-ECM 6.2.1

56115134474039179147086116589633144968170758083342541054839240643764685236021629346893308164070439160632937103128874679454125923120618909166912477720409881181981563<164>

7137096825470911352763152350693<31>
7862459463037571684520567683265681573742169480804138362430647497393328622184882892466314752452755748772299349279963553756975752154591<133>

Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=1668989920
Step 1 took 11501ms
Step 2 took 12549ms
********** Factor found in step 2: 7137096825470911352763152350693
Found probable prime factor of 31 digits: 7137096825470911352763152350693
Probable prime cofactor has 133 digits

GMP-ECM 6.2.2

45299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299<203>

987350730914620921690289987203621855954963<42>
92566848900864095239779213632802017565483126475597474270379<59>
495636265293798401196317143432651643488247579932991797044874163185512392872923768166698869239772113987<102>

Number: n
N=45299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299
  ( 203 digits)
SNFS difficulty: 206 digits.
Divisors found:

Tue Jun  2 14:05:48 2009  prp42 factor: 987350730914620921690289987203621855954963
Tue Jun  2 14:05:48 2009  prp59 factor: 92566848900864095239779213632802017565483126475597474270379
Tue Jun  2 14:05:48 2009  prp102 factor: 495636265293798401196317143432651643488247579932991797044874163185512392872923768166698869239772113987
Tue Jun  2 14:05:48 2009  elapsed time 19:30:16 (Msieve 1.39 - dependency 2)

Version: GGNFS-0.77.1-20050930-k8
Total time: 99.56 hours.
Scaled time: 200.62 units (timescale=2.015).
Factorization parameters were as follows:
name: KA_5_8_202_7
n: 45299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299
m: 50000000000000000000000000000000000000000
deg: 5
c5: 424
c0: -425
skew: 1.00
type: snfs
lss: 1
rlim: 19000000
alim: 19000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 19000000/19000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [9500000, 29099990)
Primes: RFBsize:1211050, AFBsize:1212352, largePrimes:35419729 encountered
Relations: rels:33177779, finalFF:834914
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7395621 hash collisions in 44885691 relations
Msieve: matrix is 3359630 x 3359878 (905.5 MB)

Total sieving time: 98.57 hours.
Total relation processing time: 0.99 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19000000,19000000,29,29,56,56,2.6,2.6,100000
total time: 99.56 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: 3368968k/3407296k available (2748k kernel code, 36964k reserved, 1425k data, 416k init, 2489792k highmem)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.99 BogoMIPS (lpj=2830496)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830447)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830456)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457)
Total of 4 processors activated (22643.71 BogoMIPS).

34390377252409109365704361884036807598987027944556374397096005970806894144113954110842875832654206325371532671023822801282127999447922111098088791386493<152>

7722742706221399549167329720722415472810334999184279269<55>
4453130003244107611035385298548189161419840257042732158451206366367751333577664107779216086144697<97>

#
# N = 53x10^204-17 = 58(203)7
#
n: 34390377252409109365704361884036807598987027944556374397096005970806894144113954110842875832654206325371532671023822801282127999447922111098088791386493
m: 50000000000000000000000000000000000000000
deg: 5
c5: 848
c0: -85
skew: 0.63
# Murphy_E = 6.987e-12
type: snfs
lss: 1
rlim: 19300000
alim: 19300000
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 34390377252409109365704361884036807598987027944556374397096005970806894144113954110842875832654206325371532671023822801282127999447922111098088791386493 (152 digits)
Using B1=54580000, B2=288596528236, polynomial Dickson(12), sigma=1:2483275578
Step 1 took 111672ms
Step 2 took 37289ms
********** Factor found in step 2: 7722742706221399549167329720722415472810334999184279269
Found prime factor of 55 digits: 7722742706221399549167329720722415472810334999184279269
Prime cofactor 4453130003244107611035385298548189161419840257042732158451206366367751333577664107779216086144697 has 97 digits

714323804945199941604384992052135367127248063947601624989339318496466622691353174410877140842722434073167755916828676431460593753154637658516959630429470954604929424116975056124034401346319<189>

250210815975682023993532357505460126367<39>

2854887795956130987269565021840151417107809411636568987782857786149789602364094824756765710649463191094107684764255398014131283107288749688187695610257<151>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1917185097
Step 1 took 27157ms
Step 2 took 9211ms
********** Factor found in step 2: 250210815975682023993532357505460126367
Found probable prime factor of 39 digits: 250210815975682023993532357505460126367

12481673217502278403779171641757664851013051267911173907674470653474638031360630698762175457480860691379020634045900028362911633176305769359080554913032388213017124387675284594583009620427<188>

4140821246158758414152040497173387681482063398764882079579<58>
3014298970060813168343221919791102102388439234965056831376821590520527342554023890271305187479087156110504785223510013434173932113<130>

#
# N = 53x10^206-17 = 58(205)7
#
n: 12481673217502278403779171641757664851013051267911173907674470653474638031360630698762175457480860691379020634045900028362911633176305769359080554913032388213017124387675284594583009620427
m: 100000000000000000000000000000000000000000
deg: 5
c5: 530
c0: -17
skew: 0.50
# Murphy_E = 5.321e-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 12481673217502278403779171641757664851013051267911173907674470653474638031360630698762175457480860691379020634045900028362911633176305769359080554913032388213017124387675284594583009620427 (188 digits)
Using B1=38440000, B2=192391699516, polynomial Dickson(12), sigma=1:4167402788
Step 1 took 105052ms
Step 2 took 34248ms
********** Factor found in step 2: 4140821246158758414152040497173387681482063398764882079579
Found prime factor of 58 digits: 4140821246158758414152040497173387681482063398764882079579
Prime cofactor 3014298970060813168343221919791102102388439234965056831376821590520527342554023890271305187479087156110504785223510013434173932113 has 130 digits

21936731064519307214639321352605874071903110313114092270644919500414989351614802363250328869574035921200929272543259224346468886059638320398192926431450167163499064579087704094239325806341740989894683<200>

92670403350598920406825921333881487969328814205573761133029574078616266788439<77>
236717768255807770934587486023589107765822938089999285404498056290232371132428815116163662398935543430634472940963439339997<123>

Number: n
N=21936731064519307214639321352605874071903110313114092270644919500414989351614802363250328869574035921200929272543259224346468886059638320398192926431450167163499064579087704094239325806341740989894683
  ( 200 digits)
SNFS difficulty: 208 digits.
Divisors found:

Thu Aug  3 08:53:31 2017  prp77 factor: 92670403350598920406825921333881487969328814205573761133029574078616266788439
Thu Aug  3 08:53:31 2017  prp123 factor: 236717768255807770934587486023589107765822938089999285404498056290232371132428815116163662398935543430634472940963439339997
Thu Aug  3 08:53:31 2017  elapsed time 15:31:28 (Msieve 1.44 - dependency 7)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.265).
Factorization parameters were as follows:
#
# 53x10^207-17 58(206)7
#
n: 21936731064519307214639321352605874071903110313114092270644919500414989351614802363250328869574035921200929272543259224346468886059638320398192926431450167163499064579087704094239325806341740989894683
m: 100000000000000000000000000000000000000000
deg: 5
c5: 5300
c0: -17
skew: 0.32
# Murphy_E = 4.747e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 21700000)
Primes: RFBsize:1329943, AFBsize:1331177,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8276025 hash collisions in 52993342 relations (46350909 unique)
Msieve: matrix is 3476617 x 3476842 (989.5 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 14hrs 37min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 42min 19sec.

Prototype def-par.txt line would be:
snfs,208,5,0,0,0,0,0,0,0,0,21000000,21000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

2046798838106099374926945241595164012367925227283951069317943068593952576731303283014030477012407010578937823506917534898027879833827867947951057528447050653<157>

5888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<211>

279064063439207515539278389513063864418750975552542883957<57>
1079729413925170166876254485533529271685554044680221880257<58>
19544047699820017085384480971003655599437513000157224559676789868600494095368018395546430204443963<98>

Number: 58887_210
N=5888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887
  ( 211 digits)
SNFS difficulty: 211 digits.
Divisors found:
 r1=279064063439207515539278389513063864418750975552542883957
 r2=1079729413925170166876254485533529271685554044680221880257
 r3=19544047699820017085384480971003655599437513000157224559676789868600494095368018395546430204443963
Version: 
Total time: 624.30 hours.
Scaled time: 3278.82 units (timescale=5.252).
Factorization parameters were as follows:
n: 5888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887
m: 1000000000000000000000000000000000000000000
deg: 5
c5: 53
c0: -17
skew: 0.80
# Murphy_E = 4.707e-12
type: snfs
lss: 1
rlim: 30000000
alim: 30000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
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: 57/57
Sieved rational special-q in [15000000, 34800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 45546167
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 4914490 x 4914737
Total sieving time: 557.05 hours.
Total relation processing time: 12.54 hours.
Matrix solve time: 53.12 hours.
Time per square root: 1.59 hours.
Prototype def-par.txt line would be:
snfs,211,5,0,0,0,0,0,0,0,0,30000000,30000000,29,29,57,57,2.6,2.6,100000
total time: 624.30 hours.
 --------- CPU info (if available) ----------

GGNFS / Msieve v1.39

Core i7 4930K

1044488856343169746462951452476169497569268706800195184683470847486415168540751862470524416182997409255605194979021822851637262725183143128419559870832071315907141961722963909938523462411<187>

4029876002416888184183496242488348426522904034912172569520910282146268592069023121436254713603701435009572394098661293925599901719648153849683313482370622265504763017466562473828359<181>

15777376313686934876973226795819356046697899808733189554779908676592819327682976823305912193870743869341310911992649005512831375199714649<137>

9084396356126102906923793250475069444171284131<46>
1736755607657672411033162470648276741874477954745430252589796309011470789611775668880359379<91>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1594796001
Step 1 took 29375ms
Step 2 took 18093ms
********** Factor found in step 2: 9084396356126102906923793250475069444171284131
Found probable prime factor of 46 digits: 9084396356126102906923793250475069444171284131
Probable prime cofactor 1736755607657672411033162470648276741874477954745430252589796309011470789611775668880359379 has 91 digits

GMP-ECM 7.0

970912136299665156665128186554274022470484634018812727261263002800601530526896890961584863168724378186463389864513248323375008451187843056394764061<147>

1118531313554761453165989045897812407<37>
868024099579337253475170141199147132774128888712460978337993871329941572288861304449142955318437993018706034123<111>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:128704547
Step 1 took 31953ms
Step 2 took 18735ms
********** Factor found in step 2: 1118531313554761453165989045897812407
Found probable prime factor of 37 digits: 1118531313554761453165989045897812407
Probable prime cofactor 868024099579337253475170141199147132774128888712460978337993871329941572288861304449142955318437993018706034123 has 111 digits

GMP-ECM 7.0

85664860507131416185111755314094760984912952064156799719339935052167726100967898650039304735134700808613408412344579880104010782380613769232737035917628982473093996736366005489271723210913511856542805735951609<209>

12948673465961543524185970411917603591035427398773<50>
6615724825583136196667998385549793053556197350520539543166257520930871832369420992429195096875577825879718366018050107427867382050134091497502274495237217887733<160>

#
# N = 53x10^216-17 = 58(215)7
#
n: 85664860507131416185111755314094760984912952064156799719339935052167726100967898650039304735134700808613408412344579880104010782380613769232737035917628982473093996736366005489271723210913511856542805735951609
m: 1000000000000000000000000000000000000
deg: 6
c6: 53
c0: -17
skew: 0.83
# Murphy_E = 2.637e-12
type: snfs
lss: 1
rlim: 30000000
alim: 30000000
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 85664860507131416185111755314094760984912952064156799719339935052167726100967898650039304735134700808613408412344579880104010782380613769232737035917628982473093996736366005489271723210913511856542805735951609 (209 digits)
Using B1=700000000, B2=12714085484116, polynomial Dickson(30), sigma=1273517740
Step 1 took 3910052ms
Step 2 took 695728ms
********** Factor found in step 2: 12948673465961543524185970411917603591035427398773
Found probable prime factor of 50 digits: 12948673465961543524185970411917603591035427398773
Probable prime cofactor 6615724825583136196667998385549793053556197350520539543166257520930871832369420992429195096875577825879718366018050107427867382050134091497502274495237217887733 has 160 digits

39362084662041284226429613337280247626552684666072437521391583522984685278686500859983120896232602758561447182227209126654829518855636908657630607341687819967<158>

152104521690320279722034882969076226126537596348432229905736510803932271591104098365849099778830244395858270122810188709192165014480665750699595243081518330836810841569696042716937081719<186>

259507419355962172860004188779912250200976357858253<51>
283873179388977787855506754712759837531228344484102571857<57>
2064752420625129164586203334814650064536757527317869613306390346945855685360739<79>

Number: 58887_220
N = 152104521690320279722034882969076226126537596348432229905736510803932271591104098365849099778830244395858270122810188709192165014480665750699595243081518330836810841569696042716937081719 (186 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=259507419355962172860004188779912250200976357858253 (pp51)
r2=283873179388977787855506754712759837531228344484102571857 (pp57)
r3=2064752420625129164586203334814650064536757527317869613306390346945855685360739 (pp79)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 49.41 hours.
Factorization parameters were as follows:
n: 152104521690320279722034882969076226126537596348432229905736510803932271591104098365849099778830244395858270122810188709192165014480665750699595243081518330836810841569696042716937081719
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 53
c0: -17
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: 31687013
Relations: 8271784 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 23.02 hours.
Total relation processing time: 0.34 hours.
Pruned matrix : 7135395 x 7135620
Matrix solve time: 25.49 hours.
time per square root: 0.56 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: 49.41 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

16997366553894331465499717828062090310404528824672788451880111813144414852077471713636828640649284558720459950661386811488226551664718411150415136617652782369171<161>

145354883825089923838258221633597317031862411027511904799319180101173155723569<78>
116937017227077103613626662879463492139200800854949336021215531777774177486205779459<84>

Number: 58887_221
N = 16997366553894331465499717828062090310404528824672788451880111813144414852077471713636828640649284558720459950661386811488226551664718411150415136617652782369171 (161 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=145354883825089923838258221633597317031862411027511904799319180101173155723569 (pp78)
r2=116937017227077103613626662879463492139200800854949336021215531777774177486205779459 (pp84)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 69.57 hours.
Factorization parameters were as follows:
n: 16997366553894331465499717828062090310404528824672788451880111813144414852077471713636828640649284558720459950661386811488226551664718411150415136617652782369171
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 530
c0: -17
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 8193708 relations
Pruned matrix : 7079000 x 7079225
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 37.91 hours.
Total relation processing time: 0.39 hours.
Matrix solve time: 31.09 hours.
time per square root: 0.18 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 69.57 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

2601362411944755485171258832622545430365680018256325726152464044753639768508779240011511073127685047674787311453459478300912420699722092944249873979350603414644011038400620710397726207789261777867666297657361739<211>

99168543955577545546131291299073594253361601155000916945115055336679583496621<77>
26231729419260539819406525069856661797499735503656076962800444562844111399968964331845589522059518358045928183122891713937855413619159<134>

Number: n
N=2601362411944755485171258832622545430365680018256325726152464044753639768508779240011511073127685047674787311453459478300912420699722092944249873979350603414644011038400620710397726207789261777867666297657361739  ( 211 digits)
SNFS difficulty: 223 digits.
Divisors found:

Wed Apr 22 05:49:10 2020  p77 factor: 99168543955577545546131291299073594253361601155000916945115055336679583496621
Wed Apr 22 05:49:10 2020  p134 factor: 26231729419260539819406525069856661797499735503656076962800444562844111399968964331845589522059518358045928183122891713937855413619159
Wed Apr 22 05:49:10 2020  elapsed time 14:31:26 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.114).
Factorization parameters were as follows:
#
# N = 53x10^222-17 = 58(221)7
#
n: 2601362411944755485171258832622545430365680018256325726152464044753639768508779240011511073127685047674787311453459478300912420699722092944249873979350603414644011038400620710397726207789261777867666297657361739
m: 10000000000000000000000000000000000000
deg: 6
c6: 53
c0: -17
skew: 0.83
# Murphy_E = 1.65e-12
type: snfs
lss: 1
rlim: 37000000
alim: 37000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 37000000/37000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 108900000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 10188035 hash collisions in 57973802 relations (49731159 unique)
Msieve: matrix is 5479445 x 5479670 (1919.0 MB)

Sieving start time: 2020/04/19 05:50:19
Sieving end time  : 2020/04/21 15:16:49

Total sieving time: 57hrs 26min 30secs.

Total relation processing time: 13hrs 58min 57sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 11min 11sec.

Prototype def-par.txt line would be:
snfs,223,6,0,0,0,0,0,0,0,0,37000000,37000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.141282] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283232K/16703460K available (12300K kernel code, 2481K rwdata, 4264K rodata, 2432K init, 2712K bss, 420228K reserved, 0K cma-reserved)
[    0.176568] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.77 BogoMIPS (lpj=11977540)
[    0.174220] smpboot: Total of 16 processors activated (95820.32 BogoMIPS)

215640824388670947014156198831420320311977296686272148596728259736261238371279158923284385636978263682793476793941457603589271703146663581098728742372162039655191282014487905278015093556538609994650069139066267605663<216>

1319772626006000950968322839050776351<37>

163392405736782145683580391075563340549913005277786976791046785813379509648178641415050482944282862232119456288606807618408618004224377730548989466835002073344410146004003649578113<180>

Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=847014576
Step 1 took 6890ms
Step 2 took 4553ms
********** Factor found in step 2: 1319772626006000950968322839050776351
Found probable prime factor of 37 digits: 1319772626006000950968322839050776351
Composite cofactor 

163392405736782145683580391075563340549913005277786976791046785813379509648178641415050482944282862232119456288606807618408618004224377730548989466835002073344410146004003649578113<180>

1338099794835460761315606945576261619<37>

122107787750519510480521617045509655290213194871317424232653284469238042971640272920513146359466876914784506000351148100311029421787939913597627<144>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3976437988
Step 1 took 14034ms
Step 2 took 5182ms
********** Factor found in step 2: 1338099794835460761315606945576261619
Found probable prime factor of 37 digits: 1338099794835460761315606945576261619
Composite cofactor 

122107787750519510480521617045509655290213194871317424232653284469238042971640272920513146359466876914784506000351148100311029421787939913597627<144>

50149209703098079639907149933863039344599166459317851031639277972227009<71>
2434889572008071518464251619428587297256201161271812761684024346707457403<73>

Number: 58887_223
N = 122107787750519510480521617045509655290213194871317424232653284469238042971640272920513146359466876914784506000351148100311029421787939913597627 (144 digits)
Divisors found:
r1=50149209703098079639907149933863039344599166459317851031639277972227009 (pp71)
r2=2434889572008071518464251619428587297256201161271812761684024346707457403 (pp73)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 383.64 hours.
Factorization parameters were as follows:
# Murphy_E = 1.324e-11, selected by Erik Branger
# expecting poly E from 1.33e-011 to > 1.53e-011
n: 122107787750519510480521617045509655290213194871317424232653284469238042971640272920513146359466876914784506000351148100311029421787939913597627
Y0: -12451364425947364370559487790
Y1: 551672451866759
c0: 175578718009345267635304815386562407703
c1: 183017868162627239350209806515497
c2: 24324589950397259735374075
c3: -140039364017785705
c4: -32252062298
c5: 408
skew: 24548389.71
type: gnfs
# selected mechanically
rlim: 22000000
alim: 22000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 22000000/22000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 24150586
Relations: 4572350 relations
Pruned matrix : 2824278 x 2824503
Polynomial selection time: 0.00 hours.
Total sieving time: 378.40 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 4.83 hours.
time per square root: 0.18 hours.
Prototype def-par.txt line would be: gnfs,143,5,65,2000,1e-05,0.28,250,20,50000,3600,22000000,22000000,28,28,56,56,2.6,2.6,100000
total time: 383.64 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 12, speed: 3.19GHz

GGNFS, Msieve

4559847161052698634123586428252496250092904319146507548031737996757685793916476675157956486379450053550526613895344157466659992889077376231338717339133549982173062925089<169>

1153111208676287894806143637006757892669112992268650124544044687481315569554815387078237744150811191518536013924715569618630893271640644102263508993916040197753277823844489593<175>

43916784874179165291961734885768758154662767<44>

26256731042127325832960295297990953152620817205791279483601186443156820287327013279868114106713140571486889281119436790940846493079<131>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1503537419
Step 1 took 30807ms
Step 2 took 10635ms
********** Factor found in step 2: 43916784874179165291961734885768758154662767
Found probable prime factor of 44 digits: 43916784874179165291961734885768758154662767

26256731042127325832960295297990953152620817205791279483601186443156820287327013279868114106713140571486889281119436790940846493079<131>

56908926440119835280323220006008095043247276422273753461772581<62>
461381591335322965910207979241529431030001037289776068774647363566859<69>

03/04/14 21:10:56 v1.34.3, 
03/04/14 21:10:56 v1.34.3, ****************************
03/04/14 21:10:56 v1.34.3, Starting factorization of 26256731042127325832960295297990953152620817205791279483601186443156820287327013279868114106713140571486889281119436790940846493079
03/04/14 21:10:56 v1.34.3, using pretesting plan: none
03/04/14 21:10:56 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
03/04/14 21:10:56 v1.34.3, ****************************
03/04/14 21:10:56 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C131
03/04/14 21:10:56 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C131
03/04/14 21:10:56 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C131
03/04/14 21:10:56 v1.34.3, final ECM pretested depth: 0.00
03/04/14 21:10:56 v1.34.3, scheduler: switching to sieve method
03/04/14 21:10:56 v1.34.3, nfs: commencing nfs on c131: 26256731042127325832960295297990953152620817205791279483601186443156820287327013279868114106713140571486889281119436790940846493079
03/04/14 21:10:56 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
03/04/14 21:10:56 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/04/14 21:24:32 v1.34.3, nfs: commencing lattice sieving with 8 threads
[60 lines snipped]
03/05/14 12:00:52 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/05/14 12:16:18 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/05/14 12:31:58 v1.34.3, nfs: commencing msieve filtering
03/05/14 12:36:49 v1.34.3, nfs: commencing msieve linear algebra
03/05/14 13:26:18 v1.34.3, nfs: commencing msieve sqrt
03/05/14 13:29:47 v1.34.3, prp69 = 461381591335322965910207979241529431030001037289776068774647363566859
03/05/14 13:29:47 v1.34.3, prp62 = 56908926440119835280323220006008095043247276422273753461772581
03/05/14 13:29:47 v1.34.3, NFS elapsed time = 58731.8878 seconds.
03/05/14 13:29:47 v1.34.3, 
03/05/14 13:29:47 v1.34.3, 
03/05/14 13:29:47 v1.34.3, Total factoring time = 58731.9142 seconds
--
Wed Mar  5 12:31:58 2014  
Wed Mar  5 12:31:58 2014  commencing relation filtering
Wed Mar  5 12:31:58 2014  estimated available RAM is 15988.7 MB
Wed Mar  5 12:31:58 2014  commencing duplicate removal, pass 1
Wed Mar  5 12:33:17 2014  found 2876449 hash collisions in 21251572 relations
Wed Mar  5 12:33:38 2014  added 120170 free relations
Wed Mar  5 12:33:38 2014  commencing duplicate removal, pass 2
Wed Mar  5 12:33:59 2014  found 1882428 duplicates and 19489314 unique relations
Wed Mar  5 12:33:59 2014  memory use: 82.6 MB
Wed Mar  5 12:33:59 2014  reading ideals above 720000
Wed Mar  5 12:33:59 2014  commencing singleton removal, initial pass
Wed Mar  5 12:35:40 2014  memory use: 376.5 MB
Wed Mar  5 12:35:40 2014  reading all ideals from disk
Wed Mar  5 12:35:40 2014  memory use: 599.9 MB
Wed Mar  5 12:35:41 2014  keeping 20103938 ideals with weight <= 200, target excess is 120098
Wed Mar  5 12:35:42 2014  commencing in-memory singleton removal
Wed Mar  5 12:35:44 2014  begin with 19489314 relations and 20103938 unique ideals
Wed Mar  5 12:35:54 2014  reduce to 8765834 relations and 7754103 ideals in 15 passes
Wed Mar  5 12:35:54 2014  max relations containing the same ideal: 125
Wed Mar  5 12:35:57 2014  removing 2029048 relations and 1629048 ideals in 400000 cliques
Wed Mar  5 12:35:57 2014  commencing in-memory singleton removal
Wed Mar  5 12:35:58 2014  begin with 6736786 relations and 7754103 unique ideals
Wed Mar  5 12:36:02 2014  reduce to 6360958 relations and 5727449 ideals in 10 passes
Wed Mar  5 12:36:02 2014  max relations containing the same ideal: 98
Wed Mar  5 12:36:04 2014  removing 1593572 relations and 1193572 ideals in 400000 cliques
Wed Mar  5 12:36:05 2014  commencing in-memory singleton removal
Wed Mar  5 12:36:05 2014  begin with 4767386 relations and 5727449 unique ideals
Wed Mar  5 12:36:08 2014  reduce to 4450178 relations and 4196416 ideals in 11 passes
Wed Mar  5 12:36:08 2014  max relations containing the same ideal: 72
Wed Mar  5 12:36:09 2014  removing 592715 relations and 478267 ideals in 114448 cliques
Wed Mar  5 12:36:10 2014  commencing in-memory singleton removal
Wed Mar  5 12:36:10 2014  begin with 3857463 relations and 4196416 unique ideals
Wed Mar  5 12:36:11 2014  reduce to 3802918 relations and 3662279 ideals in 8 passes
Wed Mar  5 12:36:11 2014  max relations containing the same ideal: 64
Wed Mar  5 12:36:13 2014  relations with 0 large ideals: 460
Wed Mar  5 12:36:13 2014  relations with 1 large ideals: 1914
Wed Mar  5 12:36:13 2014  relations with 2 large ideals: 28881
Wed Mar  5 12:36:13 2014  relations with 3 large ideals: 177435
Wed Mar  5 12:36:13 2014  relations with 4 large ideals: 563827
Wed Mar  5 12:36:13 2014  relations with 5 large ideals: 1005599
Wed Mar  5 12:36:13 2014  relations with 6 large ideals: 1068204
Wed Mar  5 12:36:13 2014  relations with 7+ large ideals: 956598
Wed Mar  5 12:36:13 2014  commencing 2-way merge
Wed Mar  5 12:36:15 2014  reduce to 2256277 relation sets and 2115638 unique ideals
Wed Mar  5 12:36:15 2014  commencing full merge
Wed Mar  5 12:36:39 2014  memory use: 259.8 MB
Wed Mar  5 12:36:39 2014  found 1173651 cycles, need 1153838
Wed Mar  5 12:36:39 2014  weight of 1153838 cycles is about 80946395 (70.15/cycle)
Wed Mar  5 12:36:39 2014  distribution of cycle lengths:
Wed Mar  5 12:36:39 2014  1 relations: 137377
Wed Mar  5 12:36:39 2014  2 relations: 128390
Wed Mar  5 12:36:39 2014  3 relations: 127976
Wed Mar  5 12:36:39 2014  4 relations: 119540
Wed Mar  5 12:36:39 2014  5 relations: 112056
Wed Mar  5 12:36:39 2014  6 relations: 100462
Wed Mar  5 12:36:39 2014  7 relations: 89150
Wed Mar  5 12:36:39 2014  8 relations: 77351
Wed Mar  5 12:36:39 2014  9 relations: 64389
Wed Mar  5 12:36:39 2014  10+ relations: 197147
Wed Mar  5 12:36:39 2014  heaviest cycle: 19 relations
Wed Mar  5 12:36:40 2014  commencing cycle optimization
Wed Mar  5 12:36:41 2014  start with 6621315 relations
Wed Mar  5 12:36:47 2014  pruned 160462 relations
Wed Mar  5 12:36:47 2014  memory use: 220.8 MB
Wed Mar  5 12:36:47 2014  distribution of cycle lengths:
Wed Mar  5 12:36:47 2014  1 relations: 137377
Wed Mar  5 12:36:47 2014  2 relations: 131204
Wed Mar  5 12:36:47 2014  3 relations: 132251
Wed Mar  5 12:36:47 2014  4 relations: 122748
Wed Mar  5 12:36:47 2014  5 relations: 114572
Wed Mar  5 12:36:47 2014  6 relations: 102554
Wed Mar  5 12:36:47 2014  7 relations: 90757
Wed Mar  5 12:36:47 2014  8 relations: 77614
Wed Mar  5 12:36:47 2014  9 relations: 64042
Wed Mar  5 12:36:47 2014  10+ relations: 180719
Wed Mar  5 12:36:47 2014  heaviest cycle: 19 relations
Wed Mar  5 12:36:48 2014  RelProcTime: 290
Wed Mar  5 12:36:49 2014  
Wed Mar  5 12:36:49 2014  commencing linear algebra
Wed Mar  5 12:36:49 2014  read 1153838 cycles
Wed Mar  5 12:36:50 2014  cycles contain 3687632 unique relations
Wed Mar  5 12:37:17 2014  read 3687632 relations
Wed Mar  5 12:37:20 2014  using 20 quadratic characters above 268433108
Wed Mar  5 12:37:33 2014  building initial matrix
Wed Mar  5 12:38:00 2014  memory use: 475.0 MB
Wed Mar  5 12:38:00 2014  read 1153838 cycles
Wed Mar  5 12:38:00 2014  matrix is 1153661 x 1153838 (350.1 MB) with weight 109897057 (95.24/col)
Wed Mar  5 12:38:00 2014  sparse part has weight 77926428 (67.54/col)
Wed Mar  5 12:38:07 2014  filtering completed in 2 passes
Wed Mar  5 12:38:07 2014  matrix is 1152821 x 1152998 (350.0 MB) with weight 109862712 (95.28/col)
Wed Mar  5 12:38:07 2014  sparse part has weight 77915439 (67.58/col)
Wed Mar  5 12:38:11 2014  matrix starts at (0, 0)
Wed Mar  5 12:38:11 2014  matrix is 1152821 x 1152998 (350.0 MB) with weight 109862712 (95.28/col)
Wed Mar  5 12:38:11 2014  sparse part has weight 77915439 (67.58/col)
Wed Mar  5 12:38:11 2014  saving the first 48 matrix rows for later
Wed Mar  5 12:38:11 2014  matrix includes 64 packed rows
Wed Mar  5 12:38:11 2014  matrix is 1152773 x 1152998 (335.7 MB) with weight 87493664 (75.88/col)
Wed Mar  5 12:38:11 2014  sparse part has weight 76470444 (66.32/col)
Wed Mar  5 12:38:11 2014  using block size 65536 for processor cache size 8192 kB
Wed Mar  5 12:38:14 2014  commencing Lanczos iteration (8 threads)
Wed Mar  5 12:38:14 2014  memory use: 323.0 MB
Wed Mar  5 12:38:18 2014  linear algebra at 0.1%, ETA 0h50m
Wed Mar  5 12:38:19 2014  checkpointing every 1460000 dimensions
Wed Mar  5 13:26:17 2014  lanczos halted after 18231 iterations (dim = 1152769)
Wed Mar  5 13:26:18 2014  recovered 30 nontrivial dependencies
Wed Mar  5 13:26:18 2014  BLanczosTime: 2969
Wed Mar  5 13:26:18 2014  
Wed Mar  5 13:26:18 2014  commencing square root phase
Wed Mar  5 13:26:18 2014  reading relations for dependency 1
Wed Mar  5 13:26:18 2014  read 577778 cycles
Wed Mar  5 13:26:19 2014  cycles contain 1846010 unique relations
Wed Mar  5 13:26:41 2014  read 1846010 relations
Wed Mar  5 13:26:47 2014  multiplying 1846010 relations
Wed Mar  5 13:28:11 2014  multiply complete, coefficients have about 84.84 million bits
Wed Mar  5 13:28:11 2014  initial square root is modulo 1229149
Wed Mar  5 13:29:47 2014  sqrtTime: 209
--
# Murphy_E = 7.949e-11, selected by Erik Branger
# expecting poly E from 7.84e-011 to > 9.01e-011
n: 26256731042127325832960295297990953152620817205791279483601186443156820287327013279868114106713140571486889281119436790940846493079
Y0: -16398824827453839759042991
Y1: 109756201050841
c0: 97652562863483678158483234332000
c1: 708791525386657279967331160
c2: -1226442477226847404408
c3: -8954232593893835
c4: -4530188328
c5: 22140
skew: 421706.25
type: gnfs
# selected mechanically
rlim: 10000000
alim: 10000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6

yafu v1.34.3

Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

81082428546469614194796550996529286386378626425329484825192176880983232439777090391204323075883872271517850413356492322572353284450881093377587506297807032576841826811223488623443346781617923252317746275203<206>

990659901160164118188456928875910285336637436422163236121733382262533888299535592912138197527478296891020823766883489492790625859417871874557830685661601873999135894547122682230399591169<186>

44445292582699096637578736991007967666237520433275976049682839744157556955388829240975843236502750402577794761001435072399451137380923<134>

1489246060931553752954835674724494006265611104725804158628843406549<67>
29844156549185472144484553825643130092208614811819395817274384990927<68>

Number: 58887_229
N = 44445292582699096637578736991007967666237520433275976049682839744157556955388829240975843236502750402577794761001435072399451137380923 (134 digits)
Divisors found:
r1=1489246060931553752954835674724494006265611104725804158628843406549 (pp67)
r2=29844156549185472144484553825643130092208614811819395817274384990927 (pp68)
Version: Msieve v. 1.51 (SVN 845)
Total time: 162.40 hours.
Factorization parameters were as follows:
# Murphy_E = 4.623e-11, selected by Erik Branger
# expecting poly E from 4.99e-011 to > 5.74e-011
n: 44445292582699096637578736991007967666237520433275976049682839744157556955388829240975843236502750402577794761001435072399451137380923
Y0: -84692489607917935193899329
Y1: 79757013743323
c0: 646201803881785095856754727381560
c1: 1927874676528852467158882814
c2: -12297053893532630076895
c3: -3892795650555902
c4: 27438336248
c5: 10200
skew: 687700.1
type: gnfs
# selected mechanically
rlim: 12300000
alim: 12300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 12300000/12300000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 21111163
Relations: 2738978 relations
Pruned matrix : 1693985 x 1694211
Polynomial selection time: 0.00 hours.
Total sieving time: 159.32 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 2.47 hours.
time per square root: 0.47 hours.
Prototype def-par.txt line would be: gnfs,133,5,65,2000,1e-05,0.28,250,20,50000,3600,12300000,12300000,28,28,54,54,2.6,2.6,100000
total time: 162.40 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz

GGNFS, Msieve

198272411329210763573242951041678357256957304093764145614251671286787949526577855590346752260492538597652903568529305036493346651253792427490282781350422170596575498767344159755189686841819766637112854411935250964239887171774987<228>

101864751714403974616379800933654179077788576133<48>
1946428062624673959388719874530371777207216910664105729619202452322391715877139034404571337740197732247777086068602190789661689174229774434445594398023632856637406884185440369922639<181>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=92010109
Step 1 took 76213ms
Step 2 took 38217ms
********** Factor found in step 2: 101864751714403974616379800933654179077788576133
Found probable prime factor of 48 digits: 101864751714403974616379800933654179077788576133
Probable prime cofactor

60758362958767196766187718808920565777290335213059517172778098192163569767051290031879798406044471223979514572778717239635225130942870057694077974073145502866591028236704035352654722031062655743459390887093880497929687441785177<227>

459908204481851499607039682384156009268477719563735706991880638452405687462331307399809699867917253935883672131832717561905641739687190606743477576649226280512716618904610446704955386676133004019512637289287153<210>

504720846001013970126435611900602089455149<42>

911213016315413999820559356807555502630851561002925297342123353428043411414342329259987410875970532522574669305540116046699628602996337474007521693963088579326102957397<168>

Run 9 out of 67:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=685786713
Step 1 took 69103ms
Step 2 took 21454ms
********** Factor found in step 2: 504720846001013970126435611900602089455149
Found probable prime factor of 42 digits: 504720846001013970126435611900602089455149
Composite cofactor 911213016315413999820559356807555502630851561002925297342123353428043411414342329259987410875970532522574669305540116046699628602996337474007521693963088579326102957397 has 168 digits

GMP-ECM 6.4.4

Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

223034488580444815775826941396341502160846497523202004314160320809441815793627618503799645004841742091249637411148635611765296515304942221232454076672776549194401531346382197538616633213597478548816421196170994398425696333662288163<231>