832558253620683769846827853787144186216895642601442259875629886356438810202527480346341671788501<96>

70434883300550025768921698856829<32>
11820254604073182658618421398181422566578014985987820143827603769<65>

Number: 14447_102
N=832558253620683769846827853787144186216895642601442259875629886356438810202527480346341671788501
  ( 96 digits)
SNFS difficulty: 103 digits.
Divisors found:
 r1=70434883300550025768921698856829 (pp32)
 r2=11820254604073182658618421398181422566578014985987820143827603769 (pp65)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 0.99 hours.
Scaled time: 0.67 units (timescale=0.675).
Factorization parameters were as follows:
name: 14447_102
n: 832558253620683769846827853787144186216895642601442259875629886356438810202527480346341671788501
m: 100000000000000000000
c5: 1300
c0: 23
skew: 0.45
type: snfs
Factor base limits: 450000/500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [250000, 330001)
Primes: RFBsize:37706, AFBsize:41177, largePrimes:1166798 encountered
Relations: rels:1153342, finalFF:152299
Max relations in full relation-set: 28
Initial matrix: 78950 x 152299 with sparse part having weight 5949155.
Pruned matrix : 50513 x 50971 with weight 1512615.
Total sieving time: 0.91 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,103,5,0,0,0,0,0,0,0,0,450000,500000,25,25,44,44,2.2,2.2,20000
total time: 0.99 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

430357448080098369958342847236693571262718451457671118447147565165570370519810229948022127<90>

51656325972977006306990866008287770891019<41>
8331166415227273953870412449749267635633640111533<49>

Tue Mar 04 23:46:07 2008  
Tue Mar 04 23:46:07 2008  
Tue Mar 04 23:46:07 2008  Msieve v. 1.33
Tue Mar 04 23:46:07 2008  random seeds: 8428a2f4 b1ad526f
Tue Mar 04 23:46:07 2008  factoring 430357448080098369958342847236693571262718451457671118447147565165570370519810229948022127 (90 digits)
Tue Mar 04 23:46:07 2008  searching for 15-digit factors
Tue Mar 04 23:46:08 2008  commencing quadratic sieve (90-digit input)
Tue Mar 04 23:46:09 2008  using multiplier of 2
Tue Mar 04 23:46:09 2008  using 64kb Opteron sieve core
Tue Mar 04 23:46:09 2008  sieve interval: 18 blocks of size 65536
Tue Mar 04 23:46:09 2008  processing polynomials in batches of 6
Tue Mar 04 23:46:09 2008  using a sieve bound of 1574231 (60000 primes)
Tue Mar 04 23:46:09 2008  using large prime bound of 125938480 (26 bits)
Tue Mar 04 23:46:09 2008  using double large prime bound of 380439116353840 (42-49 bits)
Tue Mar 04 23:46:09 2008  using trial factoring cutoff of 49 bits
Tue Mar 04 23:46:09 2008  polynomial 'A' values have 11 factors
Wed Mar 05 01:00:09 2008  60199 relations (16261 full + 43938 combined from 633692 partial), need 60096
Wed Mar 05 01:00:09 2008  begin with 649952 relations
Wed Mar 05 01:00:10 2008  reduce to 146246 relations in 9 passes
Wed Mar 05 01:00:10 2008  attempting to read 146246 relations
Wed Mar 05 01:00:11 2008  recovered 146246 relations
Wed Mar 05 01:00:11 2008  recovered 124895 polynomials
Wed Mar 05 01:00:11 2008  attempting to build 60199 cycles
Wed Mar 05 01:00:11 2008  found 60199 cycles in 5 passes
Wed Mar 05 01:00:12 2008  distribution of cycle lengths:
Wed Mar 05 01:00:12 2008     length 1 : 16261
Wed Mar 05 01:00:12 2008     length 2 : 11453
Wed Mar 05 01:00:12 2008     length 3 : 10730
Wed Mar 05 01:00:12 2008     length 4 : 8114
Wed Mar 05 01:00:12 2008     length 5 : 5490
Wed Mar 05 01:00:12 2008     length 6 : 3603
Wed Mar 05 01:00:12 2008     length 7 : 2053
Wed Mar 05 01:00:12 2008     length 9+: 2495
Wed Mar 05 01:00:12 2008  largest cycle: 18 relations
Wed Mar 05 01:00:12 2008  matrix is 60000 x 60199 (15.0 MB) with weight 3689568 (61.29/col)
Wed Mar 05 01:00:12 2008  sparse part has weight 3689568 (61.29/col)
Wed Mar 05 01:00:13 2008  filtering completed in 3 passes
Wed Mar 05 01:00:13 2008  matrix is 56104 x 56168 (14.1 MB) with weight 3476829 (61.90/col)
Wed Mar 05 01:00:13 2008  sparse part has weight 3476829 (61.90/col)
Wed Mar 05 01:00:14 2008  saving the first 48 matrix rows for later
Wed Mar 05 01:00:14 2008  matrix is 56056 x 56168 (10.7 MB) with weight 2936910 (52.29/col)
Wed Mar 05 01:00:14 2008  sparse part has weight 2473574 (44.04/col)
Wed Mar 05 01:00:14 2008  matrix includes 64 packed rows
Wed Mar 05 01:00:14 2008  using block size 21845 for processor cache size 512 kB
Wed Mar 05 01:00:15 2008  commencing Lanczos iteration
Wed Mar 05 01:00:15 2008  memory use: 9.5 MB
Wed Mar 05 01:00:45 2008  lanczos halted after 888 iterations (dim = 56056)
Wed Mar 05 01:00:45 2008  recovered 18 nontrivial dependencies
Wed Mar 05 01:00:46 2008  prp41 factor: 51656325972977006306990866008287770891019
Wed Mar 05 01:00:46 2008  prp49 factor: 8331166415227273953870412449749267635633640111533
Wed Mar 05 01:00:46 2008  elapsed time 01:14:39

4326255518659141629515683748908033460381740031260391059780038497503711961665328284403963<88>

536034555099477259492189339343<30>
8070851920836102438701243831587152825693030353472471416341<58>

Tue Mar 04 23:42:15 2008  
Tue Mar 04 23:42:15 2008  
Tue Mar 04 23:42:15 2008  Msieve v. 1.33
Tue Mar 04 23:42:15 2008  random seeds: 57339918 0c0c728b
Tue Mar 04 23:42:15 2008  factoring 4326255518659141629515683748908033460381740031260391059780038497503711961665328284403963 (88 digits)
Tue Mar 04 23:42:16 2008  searching for 15-digit factors
Tue Mar 04 23:42:17 2008  commencing quadratic sieve (88-digit input)
Tue Mar 04 23:42:17 2008  using multiplier of 3
Tue Mar 04 23:42:17 2008  using 64kb Opteron sieve core
Tue Mar 04 23:42:17 2008  sieve interval: 14 blocks of size 65536
Tue Mar 04 23:42:17 2008  processing polynomials in batches of 8
Tue Mar 04 23:42:17 2008  using a sieve bound of 1527521 (57923 primes)
Tue Mar 04 23:42:17 2008  using large prime bound of 122201680 (26 bits)
Tue Mar 04 23:42:17 2008  using double large prime bound of 360361878370480 (42-49 bits)
Tue Mar 04 23:42:17 2008  using trial factoring cutoff of 49 bits
Tue Mar 04 23:42:17 2008  polynomial 'A' values have 11 factors
Wed Mar 05 00:49:17 2008  58176 relations (15416 full + 42760 combined from 618473 partial), need 58019
Wed Mar 05 00:49:17 2008  begin with 633888 relations
Wed Mar 05 00:49:18 2008  reduce to 142616 relations in 9 passes
Wed Mar 05 00:49:18 2008  attempting to read 142616 relations
Wed Mar 05 00:49:20 2008  recovered 142616 relations
Wed Mar 05 00:49:20 2008  recovered 122108 polynomials
Wed Mar 05 00:49:20 2008  attempting to build 58176 cycles
Wed Mar 05 00:49:20 2008  found 58176 cycles in 5 passes
Wed Mar 05 00:49:20 2008  distribution of cycle lengths:
Wed Mar 05 00:49:20 2008     length 1 : 15416
Wed Mar 05 00:49:20 2008     length 2 : 10978
Wed Mar 05 00:49:20 2008     length 3 : 10060
Wed Mar 05 00:49:20 2008     length 4 : 7766
Wed Mar 05 00:49:20 2008     length 5 : 5579
Wed Mar 05 00:49:20 2008     length 6 : 3567
Wed Mar 05 00:49:20 2008     length 7 : 2188
Wed Mar 05 00:49:20 2008     length 9+: 2622
Wed Mar 05 00:49:20 2008  largest cycle: 19 relations
Wed Mar 05 00:49:20 2008  matrix is 57923 x 58176 (14.2 MB) with weight 3482798 (59.87/col)
Wed Mar 05 00:49:20 2008  sparse part has weight 3482798 (59.87/col)
Wed Mar 05 00:49:21 2008  filtering completed in 3 passes
Wed Mar 05 00:49:21 2008  matrix is 54291 x 54355 (13.3 MB) with weight 3277175 (60.29/col)
Wed Mar 05 00:49:21 2008  sparse part has weight 3277175 (60.29/col)
Wed Mar 05 00:49:21 2008  saving the first 48 matrix rows for later
Wed Mar 05 00:49:21 2008  matrix is 54243 x 54355 (9.4 MB) with weight 2674396 (49.20/col)
Wed Mar 05 00:49:21 2008  sparse part has weight 2135619 (39.29/col)
Wed Mar 05 00:49:21 2008  matrix includes 64 packed rows
Wed Mar 05 00:49:21 2008  using block size 21742 for processor cache size 512 kB
Wed Mar 05 00:49:22 2008  commencing Lanczos iteration
Wed Mar 05 00:49:22 2008  memory use: 8.7 MB
Wed Mar 05 00:49:50 2008  lanczos halted after 859 iterations (dim = 54239)
Wed Mar 05 00:49:50 2008  recovered 16 nontrivial dependencies
Wed Mar 05 00:49:50 2008  prp30 factor: 536034555099477259492189339343
Wed Mar 05 00:49:50 2008  prp58 factor: 8070851920836102438701243831587152825693030353472471416341
Wed Mar 05 00:49:50 2008  elapsed time 01:07:35

2675379193391674015768106248403252111180850469561315262597489035104281804503651150211094236768275838017<103>

3726222878100481201794626013271269800973447843967<49>
717986894749436893374924732971774453291142110739897151<54>

Number: 14447_113
N=2675379193391674015768106248403252111180850469561315262597489035104281804503651150211094236768275838017
  ( 103 digits)
SNFS difficulty: 114 digits.
Divisors found:
 r1=3726222878100481201794626013271269800973447843967 (pp49)
 r2=717986894749436893374924732971774453291142110739897151 (pp54)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 2.39 hours.
Scaled time: 1.61 units (timescale=0.675).
Factorization parameters were as follows:
name: 14447_113
n: 2675379193391674015768106248403252111180850469561315262597489035104281804503651150211094236768275838017
m: 10000000000000000000000
c5: 13000
c0: 23
skew: 0.28
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 550001)
Primes: RFBsize:49098, AFBsize:64288, largePrimes:2136650 encountered
Relations: rels:2262567, finalFF:264304
Max relations in full relation-set: 28
Initial matrix: 113453 x 264304 with sparse part having weight 22736905.
Pruned matrix : 81275 x 81906 with weight 4814859.
Total sieving time: 2.17 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,114,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.39 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

67097797896772318011892964303753466558069514586862341013698816283812181113638336610629295943339477297058163237<110>

76702542741648809846780802317<29>
874779316283849878292104906255438129819684224118598047597761358345503878142800761<81>

Number: 14447_120
N=67097797896772318011892964303753466558069514586862341013698816283812181113638336610629295943339477297058163237
  ( 110 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=76702542741648809846780802317 (pp29)
 r2=874779316283849878292104906255438129819684224118598047597761358345503878142800761 (pp81)
Version: GGNFS-0.77.1-20060513-k8
Total time: 2.18 hours.
Scaled time: 4.36 units (timescale=1.996).
Factorization parameters were as follows:
name: 14447_120
n: 67097797896772318011892964303753466558069514586862341013698816283812181113638336610629295943339477297058163237
m: 1000000000000000000000000
c5: 13
c0: 23
skew: 1.12
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 550001)
Primes: RFBsize:49098, AFBsize:63813, largePrimes:2107928 encountered
Relations: rels:2204496, finalFF:243834
Max relations in full relation-set: 28
Initial matrix: 112976 x 243834 with sparse part having weight 20361502.
Pruned matrix : 82767 x 83395 with weight 4575859.
Total sieving time: 2.06 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,121,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.18 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

6878306878306878306878306878306878306878306878306878306878306878306878306878306878306878306878306878306878306878306878307<121>

275974403633615893708374712313364033866417253364443479869<57>
24923713169568184598667917122586887747016051523773565479357462303<65>

Number: 14447_122
N=6878306878306878306878306878306878306878306878306878306878306878306878306878306878306878306878306878306878306878306878307
  ( 121 digits)
SNFS difficulty: 123 digits.
Divisors found:
 r1=275974403633615893708374712313364033866417253364443479869 (pp57)
 r2=24923713169568184598667917122586887747016051523773565479357462303 (pp65)
Version: GGNFS-0.77.1-20060513-k8
Total time: 2.80 hours.
Scaled time: 5.56 units (timescale=1.989).
Factorization parameters were as follows:
name: 14447_122
n: 6878306878306878306878306878306878306878306878306878306878306878306878306878306878306878306878306878306878306878306878307
m: 1000000000000000000000000
c5: 1300
c0: 23
skew: 0.45
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 650001)
Primes: RFBsize:49098, AFBsize:63628, largePrimes:2267670 encountered
Relations: rels:2437211, finalFF:267892
Max relations in full relation-set: 28
Initial matrix: 112793 x 267892 with sparse part having weight 26595405.
Pruned matrix : 87574 x 88201 with weight 6983607.
Total sieving time: 2.65 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,123,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.80 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

16049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049383<125>

464247637731423992081446576515259298176781598923<48>
34570736416615334709852602535504361723332346937596499346376073111611171864021<77>

Number: 14447_125
N=16049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049383
  ( 125 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=464247637731423992081446576515259298176781598923 (pp48)
 r2=34570736416615334709852602535504361723332346937596499346376073111611171864021 (pp77)
Version: GGNFS-0.77.1-20060513-k8
Total time: 2.83 hours.
Scaled time: 5.66 units (timescale=2.002).
Factorization parameters were as follows:
name: 14447_125
n: 16049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049383
m: 10000000000000000000000000
c5: 13
c0: 23
skew: 1.12
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 650001)
Primes: RFBsize:49098, AFBsize:63813, largePrimes:2376187 encountered
Relations: rels:2731413, finalFF:452003
Max relations in full relation-set: 28
Initial matrix: 112976 x 452003 with sparse part having weight 44179581.
Pruned matrix : 76716 x 77344 with weight 8442795.
Total sieving time: 2.68 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,126,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.83 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

10321994692404078283128677812981837955842846798890256131362566317922455981262533583263608412151<95>

14549579140164833600801209324805687<35>
709435963265061108754917795311933782934023902804157269931073<60>

Wed Mar  5 10:06:03 2008  Msieve v. 1.33
Wed Mar  5 10:06:03 2008  random seeds: 27375a1b 327ed101
Wed Mar  5 10:06:03 2008  factoring 10321994692404078283128677812981837955842846798890256131362566317922455981262533583263608412151 (95 digits)
Wed Mar  5 10:06:04 2008  searching for 15-digit factors
Wed Mar  5 10:06:06 2008  commencing quadratic sieve (95-digit input)
Wed Mar  5 10:06:06 2008  using multiplier of 7
Wed Mar  5 10:06:06 2008  using 64kb Pentium 4 sieve core
Wed Mar  5 10:06:06 2008  sieve interval: 18 blocks of size 65536
Wed Mar  5 10:06:06 2008  processing polynomials in batches of 6
Wed Mar  5 10:06:06 2008  using a sieve bound of 2089273 (77647 primes)
Wed Mar  5 10:06:06 2008  using large prime bound of 296676766 (28 bits)
Wed Mar  5 10:06:06 2008  using double large prime bound of 1778731187411554 (42-51 bits)
Wed Mar  5 10:06:06 2008  using trial factoring cutoff of 51 bits
Wed Mar  5 10:06:06 2008  polynomial 'A' values have 12 factors
Wed Mar  5 12:08:31 2008  12072 relations (7942 full + 4130 combined from 454959 partial), need 77743
Wed Mar  5 12:08:31 2008  elapsed time 02:02:28
Wed Mar  5 12:14:47 2008  
Wed Mar  5 12:14:47 2008  
Wed Mar  5 12:14:47 2008  Msieve v. 1.33
Wed Mar  5 12:14:47 2008  random seeds: 86a08dc3 c441004f
Wed Mar  5 12:14:47 2008  factoring 10321994692404078283128677812981837955842846798890256131362566317922455981262533583263608412151 (95 digits)
Wed Mar  5 12:14:49 2008  searching for 15-digit factors
Wed Mar  5 12:14:50 2008  commencing quadratic sieve (95-digit input)
Wed Mar  5 12:14:51 2008  using multiplier of 7
Wed Mar  5 12:14:51 2008  using 64kb Pentium 4 sieve core
Wed Mar  5 12:14:51 2008  sieve interval: 18 blocks of size 65536
Wed Mar  5 12:14:51 2008  processing polynomials in batches of 6
Wed Mar  5 12:14:51 2008  using a sieve bound of 2089273 (77647 primes)
Wed Mar  5 12:14:51 2008  using large prime bound of 296676766 (28 bits)
Wed Mar  5 12:14:51 2008  using double large prime bound of 1778731187411554 (42-51 bits)
Wed Mar  5 12:14:51 2008  using trial factoring cutoff of 51 bits
Wed Mar  5 12:14:51 2008  polynomial 'A' values have 12 factors
Wed Mar  5 12:14:53 2008  restarting with 7942 full and 454959 partial relations
Wed Mar  5 15:14:40 2008  77879 relations (19845 full + 58034 combined from 1123077 partial), need 77743
Wed Mar  5 15:14:44 2008  begin with 1142922 relations
Wed Mar  5 15:14:45 2008  reduce to 199389 relations in 11 passes
Wed Mar  5 15:14:45 2008  attempting to read 199389 relations
Wed Mar  5 15:14:52 2008  recovered 199389 relations
Wed Mar  5 15:14:52 2008  recovered 180691 polynomials
Wed Mar  5 15:14:52 2008  attempting to build 77879 cycles
Wed Mar  5 15:14:52 2008  found 77879 cycles in 5 passes
Wed Mar  5 15:14:52 2008  distribution of cycle lengths:
Wed Mar  5 15:14:52 2008     length 1 : 19845
Wed Mar  5 15:14:52 2008     length 2 : 13964
Wed Mar  5 15:14:52 2008     length 3 : 13369
Wed Mar  5 15:14:52 2008     length 4 : 10242
Wed Mar  5 15:14:52 2008     length 5 : 7679
Wed Mar  5 15:14:52 2008     length 6 : 5238
Wed Mar  5 15:14:52 2008     length 7 : 3216
Wed Mar  5 15:14:52 2008     length 9+: 4326
Wed Mar  5 15:14:52 2008  largest cycle: 20 relations
Wed Mar  5 15:14:53 2008  matrix is 77647 x 77879 (20.6 MB) with weight 5088222 (65.33/col)
Wed Mar  5 15:14:53 2008  sparse part has weight 5088222 (65.33/col)
Wed Mar  5 15:14:54 2008  filtering completed in 3 passes
Wed Mar  5 15:14:54 2008  matrix is 73464 x 73528 (19.6 MB) with weight 4841271 (65.84/col)
Wed Mar  5 15:14:54 2008  sparse part has weight 4841271 (65.84/col)
Wed Mar  5 15:14:55 2008  saving the first 48 matrix rows for later
Wed Mar  5 15:14:55 2008  matrix is 73416 x 73528 (13.1 MB) with weight 3903883 (53.09/col)
Wed Mar  5 15:14:55 2008  sparse part has weight 2988911 (40.65/col)
Wed Mar  5 15:14:55 2008  matrix includes 64 packed rows
Wed Mar  5 15:14:55 2008  using block size 21845 for processor cache size 512 kB
Wed Mar  5 15:14:56 2008  commencing Lanczos iteration
Wed Mar  5 15:14:56 2008  memory use: 12.2 MB
Wed Mar  5 15:15:52 2008  lanczos halted after 1163 iterations (dim = 73416)
Wed Mar  5 15:15:52 2008  recovered 18 nontrivial dependencies
Wed Mar  5 15:15:54 2008  prp35 factor: 14549579140164833600801209324805687
Wed Mar  5 15:15:54 2008  prp60 factor: 709435963265061108754917795311933782934023902804157269931073
Wed Mar  5 15:15:54 2008  elapsed time 03:01:07

Pentium4  2.4GHz,  Windows XP and Cygwin

838563475440429911604775130570202481413951328063949760496483468128502165941145216382236679614537068220491579137<111>

1331167551723961827044232908143687891357<40>
629945850433649252006066469143506208365518616550926335658920273196015541<72>

Number: 14447_128
N=838563475440429911604775130570202481413951328063949760496483468128502165941145216382236679614537068220491579137
  ( 111 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=1331167551723961827044232908143687891357 (pp40)
 r2=629945850433649252006066469143506208365518616550926335658920273196015541 (pp72)
Version: GGNFS-0.77.1-20060513-k8
Total time: 5.14 hours.
Scaled time: 10.24 units (timescale=1.994).
Factorization parameters were as follows:
name: 14447_128
n: 838563475440429911604775130570202481413951328063949760496483468128502165941145216382236679614537068220491579137
m: 10000000000000000000000000
c5: 13000
c0: 23
skew: 0.28
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [400000, 1050001)
Primes: RFBsize:63951, AFBsize:64288, largePrimes:1511938 encountered
Relations: rels:1504917, finalFF:163874
Max relations in full relation-set: 28
Initial matrix: 128306 x 163874 with sparse part having weight 13141347.
Pruned matrix : 118297 x 119002 with weight 7752790.
Total sieving time: 4.95 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,129,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 5.14 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

23074826105495742506622674792561962201588789050204835605232101724517444864855960547764664620453519<98>

13768205563065773942619038565998211282092437391<47>
1675950144686658660252724258618579568960643440587009<52>

Wed Mar 05 03:30:18 2008  
Wed Mar 05 03:30:18 2008  
Wed Mar 05 03:30:18 2008  Msieve v. 1.33
Wed Mar 05 03:30:18 2008  random seeds: d10cd0c0 9dd72070
Wed Mar 05 03:30:18 2008  factoring 23074826105495742506622674792561962201588789050204835605232101724517444864855960547764664620453519 (98 digits)
Wed Mar 05 03:30:19 2008  searching for 15-digit factors
Wed Mar 05 03:30:20 2008  commencing quadratic sieve (98-digit input)
Wed Mar 05 03:30:20 2008  using multiplier of 11
Wed Mar 05 03:30:20 2008  using 64kb Opteron sieve core
Wed Mar 05 03:30:20 2008  sieve interval: 18 blocks of size 65536
Wed Mar 05 03:30:20 2008  processing polynomials in batches of 6
Wed Mar 05 03:30:20 2008  using a sieve bound of 2473349 (90330 primes)
Wed Mar 05 03:30:20 2008  using large prime bound of 371002350 (28 bits)
Wed Mar 05 03:30:20 2008  using double large prime bound of 2659977403806750 (43-52 bits)
Wed Mar 05 03:30:20 2008  using trial factoring cutoff of 52 bits
Wed Mar 05 03:30:20 2008  polynomial 'A' values have 13 factors
Wed Mar 05 12:38:05 2008  90750 relations (21941 full + 68809 combined from 1363815 partial), need 90426
Wed Mar 05 12:38:08 2008  begin with 1385755 relations
Wed Mar 05 12:38:09 2008  reduce to 237350 relations in 11 passes
Wed Mar 05 12:38:09 2008  attempting to read 237350 relations
Wed Mar 05 12:38:14 2008  recovered 237350 relations
Wed Mar 05 12:38:14 2008  recovered 225131 polynomials
Wed Mar 05 12:38:14 2008  attempting to build 90750 cycles
Wed Mar 05 12:38:14 2008  found 90750 cycles in 6 passes
Wed Mar 05 12:38:14 2008  distribution of cycle lengths:
Wed Mar 05 12:38:14 2008     length 1 : 21941
Wed Mar 05 12:38:14 2008     length 2 : 15721
Wed Mar 05 12:38:14 2008     length 3 : 15481
Wed Mar 05 12:38:14 2008     length 4 : 12234
Wed Mar 05 12:38:14 2008     length 5 : 9403
Wed Mar 05 12:38:14 2008     length 6 : 6298
Wed Mar 05 12:38:14 2008     length 7 : 4060
Wed Mar 05 12:38:14 2008     length 9+: 5612
Wed Mar 05 12:38:14 2008  largest cycle: 20 relations
Wed Mar 05 12:38:15 2008  matrix is 90330 x 90750 (24.6 MB) with weight 6080981 (67.01/col)
Wed Mar 05 12:38:15 2008  sparse part has weight 6080981 (67.01/col)
Wed Mar 05 12:38:16 2008  filtering completed in 3 passes
Wed Mar 05 12:38:16 2008  matrix is 86232 x 86294 (23.4 MB) with weight 5793589 (67.14/col)
Wed Mar 05 12:38:16 2008  sparse part has weight 5793589 (67.14/col)
Wed Mar 05 12:38:17 2008  saving the first 48 matrix rows for later
Wed Mar 05 12:38:17 2008  matrix is 86184 x 86294 (14.4 MB) with weight 4567270 (52.93/col)
Wed Mar 05 12:38:17 2008  sparse part has weight 3257116 (37.74/col)
Wed Mar 05 12:38:17 2008  matrix includes 64 packed rows
Wed Mar 05 12:38:17 2008  using block size 21845 for processor cache size 512 kB
Wed Mar 05 12:38:18 2008  commencing Lanczos iteration
Wed Mar 05 12:38:18 2008  memory use: 14.0 MB
Wed Mar 05 12:39:35 2008  lanczos halted after 1364 iterations (dim = 86180)
Wed Mar 05 12:39:35 2008  recovered 15 nontrivial dependencies
Wed Mar 05 12:39:36 2008  prp47 factor: 13768205563065773942619038565998211282092437391
Wed Mar 05 12:39:36 2008  prp52 factor: 1675950144686658660252724258618579568960643440587009
Wed Mar 05 12:39:36 2008  elapsed time 09:09:18

88760499834378156773800488192000265442408738331560349865331863425464199466716830610347313449706255762847<104>

586128798116731777961115493247664079920542415073<48>
151435145516772344278889031078601478025961666278540775039<57>

Number: n
N=88760499834378156773800488192000265442408738331560349865331863425464199466716830610347313449706255762847
  ( 104 digits)
SNFS difficulty: 139 digits.
Divisors found:

Thu Mar 06 02:47:26 2008  prp48 factor: 586128798116731777961115493247664079920542415073
Thu Mar 06 02:47:26 2008  prp57 factor: 151435145516772344278889031078601478025961666278540775039
Thu Mar 06 02:47:26 2008  elapsed time 00:45:26 (Msieve 1.33)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 9.08 hours.
Scaled time: 11.82 units (timescale=1.302).
Factorization parameters were as follows:
name: KA_1_4_137_7
n: 88760499834378156773800488192000265442408738331560349865331863425464199466716830610347313449706255762847
skew: 0.28
deg: 5
c5: 13000
c0: 23
m: 1000000000000000000000000000
type: snfs
rlim: 2400000
alim: 2400000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 900000)
Primes: RFBsize:176302, AFBsize:176793, largePrimes:6399945 encountered
Relations: rels:5818426, finalFF:424389
Max relations in full relation-set: 28
Initial matrix: 353162 x 424389 with sparse part having weight 24345376.
Pruned matrix : 291445 x 293274 with weight 13197182.
Total sieving time: 8.01 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 0.86 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,139,5,0,0,0,0,0,0,0,0,2400000,2400000,28,28,48,48,2.5,2.5,75000
total time: 9.08 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

7138763506562734907929089171012437671823306257454994838166422259301218421238798466853549934921216720059849128421380329<118>

1745882905442085615069163292717<31>
1274538776841461345684727695080517503<37>
3208151205533195406082282981411310434662624665968979<52>

Number: 14447_140
N=7138763506562734907929089171012437671823306257454994838166422259301218421238798466853549934921216720059849128421380329
  ( 118 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=1745882905442085615069163292717 (pp31)
 r2=1274538776841461345684727695080517503 (pp37)
 r3=3208151205533195406082282981411310434662624665968979 (pp52)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 10.31 hours.
Scaled time: 6.96 units (timescale=0.675).
Factorization parameters were as follows:
name: 14447_140
n: 7138763506562734907929089171012437671823306257454994838166422259301218421238798466853549934921216720059849128421380329
m: 10000000000000000000000000000
c5: 13
c0: 23
skew: 1.12
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [650000, 1550001)
Primes: RFBsize:100021, AFBsize:99688, largePrimes:2626869 encountered
Relations: rels:2591427, finalFF:265976
Max relations in full relation-set: 28
Initial matrix: 199774 x 265976 with sparse part having weight 20939938.
Pruned matrix : 176848 x 177910 with weight 11548586.
Total sieving time: 9.39 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.73 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 10.31 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

1717134684366488291394731960743091276564277158246508109775225266573224151784451098838052146479<94>

123511028190274527084942581597557283<36>
13902683100663382375897508514348828772415433347065218804613<59>

Wed Mar 05 03:26:30 2008  
Wed Mar 05 03:26:30 2008  
Wed Mar 05 03:26:30 2008  Msieve v. 1.33
Wed Mar 05 03:26:30 2008  random seeds: 65fa8740 8a59d135
Wed Mar 05 03:26:30 2008  factoring 1717134684366488291394731960743091276564277158246508109775225266573224151784451098838052146479 (94 digits)
Wed Mar 05 03:26:30 2008  searching for 15-digit factors
Wed Mar 05 03:26:31 2008  commencing quadratic sieve (94-digit input)
Wed Mar 05 03:26:32 2008  using multiplier of 15
Wed Mar 05 03:26:32 2008  using 64kb Opteron sieve core
Wed Mar 05 03:26:32 2008  sieve interval: 18 blocks of size 65536
Wed Mar 05 03:26:32 2008  processing polynomials in batches of 6
Wed Mar 05 03:26:32 2008  using a sieve bound of 1990243 (74118 primes)
Wed Mar 05 03:26:32 2008  using large prime bound of 256741347 (27 bits)
Wed Mar 05 03:26:32 2008  using double large prime bound of 1371173633837307 (42-51 bits)
Wed Mar 05 03:26:32 2008  using trial factoring cutoff of 51 bits
Wed Mar 05 03:26:32 2008  polynomial 'A' values have 12 factors
Wed Mar 05 06:35:53 2008  74238 relations (18185 full + 56053 combined from 1032668 partial), need 74214
Wed Mar 05 06:35:57 2008  begin with 1050852 relations
Wed Mar 05 06:35:58 2008  reduce to 191869 relations in 11 passes
Wed Mar 05 06:35:58 2008  attempting to read 191869 relations
Wed Mar 05 06:36:00 2008  recovered 191869 relations
Wed Mar 05 06:36:00 2008  recovered 176205 polynomials
Wed Mar 05 06:36:00 2008  attempting to build 74238 cycles
Wed Mar 05 06:36:01 2008  found 74238 cycles in 6 passes
Wed Mar 05 06:36:01 2008  distribution of cycle lengths:
Wed Mar 05 06:36:01 2008     length 1 : 18185
Wed Mar 05 06:36:01 2008     length 2 : 13189
Wed Mar 05 06:36:01 2008     length 3 : 12714
Wed Mar 05 06:36:01 2008     length 4 : 10226
Wed Mar 05 06:36:01 2008     length 5 : 7472
Wed Mar 05 06:36:01 2008     length 6 : 5043
Wed Mar 05 06:36:01 2008     length 7 : 3156
Wed Mar 05 06:36:01 2008     length 9+: 4253
Wed Mar 05 06:36:01 2008  largest cycle: 24 relations
Wed Mar 05 06:36:02 2008  matrix is 74118 x 74238 (19.7 MB) with weight 4865840 (65.54/col)
Wed Mar 05 06:36:02 2008  sparse part has weight 4865840 (65.54/col)
Wed Mar 05 06:36:03 2008  filtering completed in 3 passes
Wed Mar 05 06:36:03 2008  matrix is 70536 x 70600 (18.9 MB) with weight 4665097 (66.08/col)
Wed Mar 05 06:36:03 2008  sparse part has weight 4665097 (66.08/col)
Wed Mar 05 06:36:04 2008  saving the first 48 matrix rows for later
Wed Mar 05 06:36:04 2008  matrix is 70488 x 70600 (12.2 MB) with weight 3707945 (52.52/col)
Wed Mar 05 06:36:04 2008  sparse part has weight 2783659 (39.43/col)
Wed Mar 05 06:36:04 2008  matrix includes 64 packed rows
Wed Mar 05 06:36:04 2008  using block size 21845 for processor cache size 512 kB
Wed Mar 05 06:36:05 2008  commencing Lanczos iteration
Wed Mar 05 06:36:05 2008  memory use: 11.6 MB
Wed Mar 05 06:36:57 2008  lanczos halted after 1116 iterations (dim = 70488)
Wed Mar 05 06:36:57 2008  recovered 19 nontrivial dependencies
Wed Mar 05 06:36:58 2008  prp36 factor: 123511028190274527084942581597557283
Wed Mar 05 06:36:58 2008  prp59 factor: 13902683100663382375897508514348828772415433347065218804613
Wed Mar 05 06:36:58 2008  elapsed time 03:10:28

343019680608294166377258712561601712210065487114888595979284146082967927864376668302191058491283900555709<105>

7974072093667475428695114878478870116137528321<46>
43016877271613784214536967602395329942184013449106489386429<59>

Number: 14447_144
N=343019680608294166377258712561601712210065487114888595979284146082967927864376668302191058491283900555709
  ( 105 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=7974072093667475428695114878478870116137528321 (pp46)
 r2=43016877271613784214536967602395329942184013449106489386429 (pp59)
Version: GGNFS-0.77.1-20060513-k8
Total time: 19.57 hours.
Scaled time: 39.18 units (timescale=2.002).
Factorization parameters were as follows:
name: 14447_144
n: 343019680608294166377258712561601712210065487114888595979284146082967927864376668302191058491283900555709
m: 100000000000000000000000000000
c5: 13
c0: 230
skew: 1.78
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [750000, 2850001)
Primes: RFBsize:114155, AFBsize:113437, largePrimes:2875075 encountered
Relations: rels:2875950, finalFF:280563
Max relations in full relation-set: 28
Initial matrix: 227657 x 280563 with sparse part having weight 29021959.
Pruned matrix : 211417 x 212619 with weight 20180901.
Total sieving time: 18.84 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.53 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 19.57 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

2112280166645633371402320469707436810566363949074645713931457172472612598537165215521411575103320180556079680290992286560813937<127>

9343080165895605403209672061982422960039<40>
89613447463680659731752405803506450728307<41>
2522831592649101185126932192574929950666412669<46>

Number: 14447_145
N=2112280166645633371402320469707436810566363949074645713931457172472612598537165215521411575103320180556079680290992286560813937
  ( 127 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=9343080165895605403209672061982422960039 (pp40)
 r2=89613447463680659731752405803506450728307 (pp41)
 r3=2522831592649101185126932192574929950666412669 (pp46)
Version: GGNFS-0.77.1-20060513-k8
Total time: 14.85 hours.
Scaled time: 29.66 units (timescale=1.997).
Factorization parameters were as follows:
name: 14447_145
n: 2112280166645633371402320469707436810566363949074645713931457172472612598537165215521411575103320180556079680290992286560813937
m: 100000000000000000000000000000
c5: 13
c0: 23
skew: 1.12
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [750000, 2250001)
Primes: RFBsize:114155, AFBsize:113862, largePrimes:2792569 encountered
Relations: rels:2794001, finalFF:306269
Max relations in full relation-set: 28
Initial matrix: 228082 x 306269 with sparse part having weight 26826257.
Pruned matrix : 201383 x 202587 with weight 15672670.
Total sieving time: 14.25 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.38 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 14.85 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

1976776606420552474604757697116868126281106151819578844915690956724341146553514392293869106578310652277539441623835125651592517920616583751<139>

19622489662095236649338844058215831256042080388367537519<56>
100740356624526186007814934359778825461356811979856485445035129252550852026602460329<84>

Number: 14447_146
N=1976776606420552474604757697116868126281106151819578844915690956724341146553514392293869106578310652277539441623835125651592517920616583751
  ( 139 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=19622489662095236649338844058215831256042080388367537519 (pp56)
 r2=100740356624526186007814934359778825461356811979856485445035129252550852026602460329 (pp84)
Version: GGNFS-0.77.1-20060513-k8
Total time: 29.62 hours.
Scaled time: 59.31 units (timescale=2.002).
Factorization parameters were as follows:
name: 14447_146
n: 1976776606420552474604757697116868126281106151819578844915690956724341146553514392293869106578310652277539441623835125651592517920616583751
m: 100000000000000000000000000000
c5: 130
c0: 23
skew: 0.71
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [750000, 4050001)
Primes: RFBsize:114155, AFBsize:114037, largePrimes:3084976 encountered
Relations: rels:3164913, finalFF:290275
Max relations in full relation-set: 28
Initial matrix: 228259 x 290275 with sparse part having weight 36106723.
Pruned matrix : 211753 x 212958 with weight 25442972.
Total sieving time: 28.63 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 0.71 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,147,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 29.62 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

6008756802119248777049510774562217755723689828737153396106397864957468248863689090466755395432392753749237979010664160141839808367<130>

10326766722762193030677743410047854627737<41>
18781709518265729197727134979077408403048257<44>
30980265889559158971246250118179234976988163463<47>

Number: 14447_148
N=6008756802119248777049510774562217755723689828737153396106397864957468248863689090466755395432392753749237979010664160141839808367
  ( 130 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=10326766722762193030677743410047854627737 (pp41)
 r2=18781709518265729197727134979077408403048257 (pp44)
 r3=30980265889559158971246250118179234976988163463 (pp47)
Version: GGNFS-0.77.1-20060513-k8
Total time: 50.14 hours.
Scaled time: 100.43 units (timescale=2.003).
Factorization parameters were as follows:
name: 14447_148
n: 6008756802119248777049510774562217755723689828737153396106397864957468248863689090466755395432392753749237979010664160141839808367
m: 100000000000000000000000000000
c5: 13000
c0: 23
skew: 0.28
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [750000, 6650001)
Primes: RFBsize:114155, AFBsize:114567, largePrimes:3408107 encountered
Relations: rels:3661191, finalFF:257461
Max relations in full relation-set: 28
Initial matrix: 228789 x 257461 with sparse part having weight 36674363.
Pruned matrix : 222194 x 223401 with weight 30863209.
Total sieving time: 49.04 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 0.72 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,149,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 50.14 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

383041577868087188812664780595180230412072536147911341266120897719996165650338793121853080533129917090568242587<111>

1869299252728233162593593784842467695639821<43>
204911855236147914759409599454283650327219283947887580206394976351047<69>

Number: 14447_149
N=383041577868087188812664780595180230412072536147911341266120897719996165650338793121853080533129917090568242587
  ( 111 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=1869299252728233162593593784842467695639821 (pp43)
 r2=204911855236147914759409599454283650327219283947887580206394976351047 (pp69)
Version: GGNFS-0.77.1-20060513-k8
Total time: 26.05 hours.
Scaled time: 51.80 units (timescale=1.988).
Factorization parameters were as follows:
name: 14447_149
n: 383041577868087188812664780595180230412072536147911341266120897719996165650338793121853080533129917090568242587
m: 1000000000000000000000000000000
c5: 13
c0: 230
skew: 1.78
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 2100001)
Primes: RFBsize:176302, AFBsize:176123, largePrimes:5908890 encountered
Relations: rels:6100436, finalFF:719350
Max relations in full relation-set: 28
Initial matrix: 352490 x 719350 with sparse part having weight 66689794.
Pruned matrix : 236910 x 238736 with weight 31888992.
Total sieving time: 24.90 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.86 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 26.05 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

21596454139160159728583367398724798070601192188565630667951343431788486011447546922981570292793501563082365331104250185971848293598279<134>

2731118671267928548408841950780937<34>
926226113280928870632802667563416935974873<42>
8537384850979962295167735815770595423638734296748278114279<58>

Number: 14447_151
N=21596454139160159728583367398724798070601192188565630667951343431788486011447546922981570292793501563082365331104250185971848293598279
  ( 134 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=2731118671267928548408841950780937 (pp34)
 r2=926226113280928870632802667563416935974873 (pp42)
 r3=8537384850979962295167735815770595423638734296748278114279 (pp58)
Version: GGNFS-0.77.1-20060513-k8
Total time: 30.82 hours.
Scaled time: 61.71 units (timescale=2.002).
Factorization parameters were as follows:
name: 14447_151
n: 21596454139160159728583367398724798070601192188565630667951343431788486011447546922981570292793501563082365331104250185971848293598279
m: 1000000000000000000000000000000
c5: 130
c0: 23
skew: 0.71
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 2300001)
Primes: RFBsize:176302, AFBsize:176533, largePrimes:5744567 encountered
Relations: rels:5739630, finalFF:530151
Max relations in full relation-set: 28
Initial matrix: 352902 x 530151 with sparse part having weight 51970091.
Pruned matrix : 290719 x 292547 with weight 28566604.
Total sieving time: 29.39 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 1.10 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 30.82 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

25827412516478093045584474130625154149704594415060748731377938994171532661092038308190184824436264190771407777946087<116>

2262802058462321464484841458672901509492655613223530140187<58>
11413907115688684242996799010354104342118227296131335025701<59>

Number: n
N=25827412516478093045584474130625154149704594415060748731377938994171532661092038308190184824436264190771407777946087
  ( 116 digits)
SNFS difficulty: 156 digits.
Divisors found:

Sun Mar 09 18:04:06 2008  prp58 factor: 2262802058462321464484841458672901509492655613223530140187
Sun Mar 09 18:04:06 2008  prp59 factor: 11413907115688684242996799010354104342118227296131335025701
Sun Mar 09 18:04:06 2008  elapsed time 01:05:20 (Msieve 1.33)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 25.24 hours.
Scaled time: 36.50 units (timescale=1.446).
Factorization parameters were as follows:
name: KA_1_4_153_7
n: 25827412516478093045584474130625154149704594415060748731377938994171532661092038308190184824436264190771407777946087
skew: 1.78
deg: 5
c5: 13
c0: 230
m: 10000000000000000000000000000000
type: snfs
rlim: 2500000
alim: 2500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 1399990)
Primes: RFBsize:183072, AFBsize:182796, largePrimes:6936275 encountered
Relations: rels:6366622, finalFF:410123
Max relations in full relation-set: 28
Initial matrix: 365933 x 410123 with sparse part having weight 33136403.
Pruned matrix : 
Total sieving time: 25.06 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2500000,2500000,28,28,48,48,2.5,2.5,100000
total time: 25.24 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

76023391812865497076023391812865497076023391812865497076023391812865497076023391812865497076023391812865497076023391812865497076023391812865497076023391813<155>

389980758750449231614133227379820419633329<42>
91675205847127951535304492278434084611246814323398249<53>
2126435275612637276891658087461597168753509864505325623463053<61>

Number: n
N=76023391812865497076023391812865497076023391812865497076023391812865497076023391812865497076023391812865497076023391812865497076023391812865497076023391813
  ( 155 digits)
SNFS difficulty: 157 digits.
Divisors found:

Mon Mar 10 12:45:32 2008  prp42 factor: 389980758750449231614133227379820419633329
Mon Mar 10 12:45:32 2008  prp53 factor: 91675205847127951535304492278434084611246814323398249
Mon Mar 10 12:45:32 2008  prp61 factor: 2126435275612637276891658087461597168753509864505325623463053
Mon Mar 10 12:45:32 2008  elapsed time 01:37:27 (Msieve 1.33)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 37.46 hours.
Scaled time: 48.66 units (timescale=1.299).
Factorization parameters were as follows:
name: KA_1_4_155_7
n: 76023391812865497076023391812865497076023391812865497076023391812865497076023391812865497076023391812865497076023391812865497076023391812865497076023391813
skew: 0.71
deg: 5
c5: 130
c0: 23
m: 10000000000000000000000000000000
type: snfs
rlim: 2800000
alim: 2800000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 1700189)
Primes: RFBsize:203362, AFBsize:203442, largePrimes:7079060 encountered
Relations: rels:6512185, finalFF:431363
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 37.25 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,2800000,2800000,28,28,48,48,2.5,2.5,100000
total time: 37.46 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

298971949933299978726802883498245375201857360695278639260519217332945978716242419660265607769874504609342757503740093176898551<126>

29470374557264323160093526813499099303<38>
8608324398240878863428561563214391554918361<43>
1178490710904896662118258002202295955986767897<46>

GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 298971949933299978726802883498245375201857360695278639260519217332945978716242419660265607769874504609342757503740093176898551 (126 digits)
Using B1=1258000, B2=1164325194, polynomial Dickson(6), sigma=2973888295
Step 1 took 11504ms
Step 2 took 5747ms
********** Factor found in step 2: 29470374557264323160093526813499099303
Found probable prime factor of 38 digits: 29470374557264323160093526813499099303
Composite cofactor 10144830339782860097185251752019345282487397788395193165545200757788964500311106090656817 has 89 digits


Sat Mar 08 17:12:46 2008  
Sat Mar 08 17:12:46 2008  
Sat Mar 08 17:12:46 2008  Msieve v. 1.33
Sat Mar 08 17:12:46 2008  random seeds: 523c0940 fc91d192
Sat Mar 08 17:12:46 2008  factoring 10144830339782860097185251752019345282487397788395193165545200757788964500311106090656817 (89 digits)
Sat Mar 08 17:12:46 2008  searching for 15-digit factors
Sat Mar 08 17:12:47 2008  commencing quadratic sieve (89-digit input)
Sat Mar 08 17:12:47 2008  using multiplier of 5
Sat Mar 08 17:12:47 2008  using 64kb Opteron sieve core
Sat Mar 08 17:12:47 2008  sieve interval: 14 blocks of size 65536
Sat Mar 08 17:12:47 2008  processing polynomials in batches of 8
Sat Mar 08 17:12:47 2008  using a sieve bound of 1536659 (58333 primes)
Sat Mar 08 17:12:47 2008  using large prime bound of 122932720 (26 bits)
Sat Mar 08 17:12:47 2008  using double large prime bound of 364251493350800 (42-49 bits)
Sat Mar 08 17:12:47 2008  using trial factoring cutoff of 49 bits
Sat Mar 08 17:12:47 2008  polynomial 'A' values have 11 factors
Sat Mar 08 17:58:29 2008  58751 relations (15710 full + 43041 combined from 622765 partial), need 58429
Sat Mar 08 17:58:29 2008  begin with 638474 relations
Sat Mar 08 17:58:30 2008  reduce to 143363 relations in 13 passes
Sat Mar 08 17:58:30 2008  attempting to read 143363 relations
Sat Mar 08 17:58:31 2008  recovered 143363 relations
Sat Mar 08 17:58:31 2008  recovered 123286 polynomials
Sat Mar 08 17:58:31 2008  attempting to build 58751 cycles
Sat Mar 08 17:58:31 2008  found 58751 cycles in 6 passes
Sat Mar 08 17:58:31 2008  distribution of cycle lengths:
Sat Mar 08 17:58:31 2008     length 1 : 15710
Sat Mar 08 17:58:31 2008     length 2 : 11202
Sat Mar 08 17:58:31 2008     length 3 : 10379
Sat Mar 08 17:58:31 2008     length 4 : 7870
Sat Mar 08 17:58:31 2008     length 5 : 5483
Sat Mar 08 17:58:31 2008     length 6 : 3491
Sat Mar 08 17:58:31 2008     length 7 : 2100
Sat Mar 08 17:58:31 2008     length 9+: 2516
Sat Mar 08 17:58:31 2008  largest cycle: 18 relations
Sat Mar 08 17:58:32 2008  matrix is 58333 x 58751 (14.3 MB) with weight 3525812 (60.01/col)
Sat Mar 08 17:58:32 2008  sparse part has weight 3525812 (60.01/col)
Sat Mar 08 17:58:32 2008  filtering completed in 3 passes
Sat Mar 08 17:58:32 2008  matrix is 54292 x 54356 (13.3 MB) with weight 3271260 (60.18/col)
Sat Mar 08 17:58:32 2008  sparse part has weight 3271260 (60.18/col)
Sat Mar 08 17:58:32 2008  saving the first 48 matrix rows for later
Sat Mar 08 17:58:32 2008  matrix is 54244 x 54356 (9.7 MB) with weight 2718251 (50.01/col)
Sat Mar 08 17:58:32 2008  sparse part has weight 2219258 (40.83/col)
Sat Mar 08 17:58:32 2008  matrix includes 64 packed rows
Sat Mar 08 17:58:32 2008  using block size 21742 for processor cache size 1024 kB
Sat Mar 08 17:58:33 2008  commencing Lanczos iteration
Sat Mar 08 17:58:33 2008  memory use: 8.8 MB
Sat Mar 08 17:58:51 2008  lanczos halted after 859 iterations (dim = 54239)
Sat Mar 08 17:58:51 2008  recovered 15 nontrivial dependencies
Sat Mar 08 17:58:52 2008  prp43 factor: 8608324398240878863428561563214391554918361
Sat Mar 08 17:58:52 2008  prp46 factor: 1178490710904896662118258002202295955986767897
Sat Mar 08 17:58:52 2008  elapsed time 00:46:06

38421629251820527636078806431119924133505460598130764167098822263247643780007103800496891083800862720674047482882007176570863609<128>

19676012510318678785250017004699445567484314567847182516372343<62>
1952714211361224583977547309784021653764745429767765757488007042063<67>

Number: n
N=38421629251820527636078806431119924133505460598130764167098822263247643780007103800496891083800862720674047482882007176570863609
  ( 128 digits)
SNFS difficulty: 162 digits.
Divisors found:

Fri Mar 14 19:16:14 2008  prp62 factor: 19676012510318678785250017004699445567484314567847182516372343
Fri Mar 14 19:16:14 2008  prp67 factor: 1952714211361224583977547309784021653764745429767765757488007042063
Fri Mar 14 19:16:14 2008  elapsed time 01:25:31 (Msieve 1.33)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 60.45 hours.
Scaled time: 106.09 units (timescale=1.755).
Factorization parameters were as follows:
name: KA_1_4_160_7
n: 38421629251820527636078806431119924133505460598130764167098822263247643780007103800496891083800862720674047482882007176570863609
type: snfs
skew: 0.71
deg: 5
c5: 130
c0: 23
m: 100000000000000000000000000000000
rlim: 2800000
alim: 2800000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 3000161)
Primes: RFBsize:203362, AFBsize:203442, largePrimes:7433398 encountered
Relations: rels:6842408, finalFF:440642
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 60.18 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,2800000,2800000,28,28,48,48,2.3,2.3,100000
total time: 60.45 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

174818172948084317069323230611457205447676147430883678288697651601550278437647590631488396130094047936924771876587756831283<123>

4896627844567999141056381026425997699<37>
35701747916582274558191451115278830078250818431335984974373036683747660077947671049617<86>

Number: 14447_162
N=174818172948084317069323230611457205447676147430883678288697651601550278437647590631488396130094047936924771876587756831283
  ( 123 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=4896627844567999141056381026425997699 (pp37)
 r2=35701747916582274558191451115278830078250818431335984974373036683747660077947671049617 (pp86)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 134.15 hours.
Scaled time: 90.82 units (timescale=0.677).
Factorization parameters were as follows:
name: 14447_162
n: 174818172948084317069323230611457205447676147430883678288697651601550278437647590631488396130094047936924771876587756831283
m: 100000000000000000000000000000000
c5: 1300
c0: 23
skew: 0.45
type: snfs
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2250000, 5550001)
Primes: RFBsize:315948, AFBsize:315066, largePrimes:5940702 encountered
Relations: rels:6062603, finalFF:735486
Max relations in full relation-set: 28
Initial matrix: 631081 x 735486 with sparse part having weight 58557622.
Pruned matrix : 557419 x 560638 with weight 43543481.
Total sieving time: 115.98 hours.
Total relation processing time: 0.49 hours.
Matrix solve time: 17.44 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,48,48,2.3,2.3,100000
total time: 134.15 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

216343031144999981427906166521244760111099649120079328867161315613682148972954519919802708175175124782467477196706782976510301435255515815977<141>

290489182949177909802781675636329039795637507570364531197<57>
744754172766735844931657694994085417458424028852613801213846101237458452241664067741<84>

Number: n
N=216343031144999981427906166521244760111099649120079328867161315613682148972954519919802708175175124782467477196706782976510301435255515815977
  ( 141 digits)
SNFS difficulty: 164 digits.
Divisors found:

Fri Apr 04 22:01:13 2008  prp57 factor: 290489182949177909802781675636329039795637507570364531197
Fri Apr 04 22:01:13 2008  prp84 factor: 744754172766735844931657694994085417458424028852613801213846101237458452241664067741
Fri Apr 04 22:01:13 2008  elapsed time 01:07:56 (Msieve 1.34)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 59.80 hours.
Scaled time: 109.37 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_1_4_162_7
n: 216343031144999981427906166521244760111099649120079328867161315613682148972954519919802708175175124782467477196706782976510301435255515815977
skew: 0.28
deg: 5
c5: 13000
c0: 23
m: 100000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 4100293)
Primes: RFBsize:216816, AFBsize:217281, largePrimes:7819749 encountered
Relations: rels:7249599, finalFF:485822
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 59.59 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,164,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 59.80 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

6878306878306878306878306878306878306878306878306878306878306878306878306878306878306878306878306878306878306878306878306878306878306878306878306878306878306878307<163>

839545558995717980676973391993<30>
20177046110532699947312283019200501521<38>
406050166580568139538183636120785029941680983190292244345051790690796540227700452076761314334219<96>

GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 6878306878306878306878306878306878306878306878306878306878306878306878306878306878306878306878306878306878306878306878306878306878306878306878306878306878306878307 (163 digits)
Using B1=228000, B2=102144165, polynomial Dickson(3), sigma=1811189061
Step 1 took 2765ms
Step 2 took 1566ms
********** Factor found in step 2: 839545558995717980676973391993
Found probable prime factor of 30 digits: 839545558995717980676973391993
Composite cofactor 8192892934285607283802457722785066507320741812474730645781594770166280975398811809521702269493247097534966271542869136605131011847099 has 133 digits


GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 8192892934285607283802457722785066507320741812474730645781594770166280975398811809521702269493247097534966271542869136605131011847099 (133 digits)
Using B1=3140000, B2=4286334899, polynomial Dickson(6), sigma=3973667419
Step 1 took 28446ms
Step 2 took 13535ms
********** Factor found in step 2: 20177046110532699947312283019200501521
Found probable prime factor of 38 digits: 20177046110532699947312283019200501521
Probable prime cofactor 406050166580568139538183636120785029941680983190292244345051790690796540227700452076761314334219 has 96 digits

75229857442823839063327954585610815916921620664868103784648473223197175129674845956583458783493459542969045721078101701111280306855293361344591<143>

2196722081660400619860435665895112903415321030329429<52>
34246415634863136312265358406712864250373833913675284562837241961141882980145948561830479379<92>

SNFS difficulty: 168 digits.
Divisors found:
 r1=2196722081660400619860435665895112903415321030329429
 r2=34246415634863136312265358406712864250373833913675284562837241961141882980145948561830479379
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.310).
Factorization parameters were as follows:
n: 75229857442823839063327954585610815916921620664868103784648473223197175129674845956583458783493459542969045721078101701111280306855293361344591
m: 1000000000000000000000000000000000
c5: 1300
c0: 23
skew: 0.45
type: snfs
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [2750000, 5450001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 972189 x 972437
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,54,54,2.6,2.6,100000
total time: 40.00 hours.

Msieve-1.38

Opteron-2.2GHz; Linux x86_64

34138352519520697488492384808044363669564458449619491153150511809519512581286624284223734680550286431913886638391088083143379719913<131>

125991706661408379069740433560492000863719150637957632449<57>
270957140149426777544289571433775011527741409316792143226462515238075645737<75>

Number: n
N=34138352519520697488492384808044363669564458449619491153150511809519512581286624284223734680550286431913886638391088083143379719913
  ( 131 digits)
SNFS difficulty: 169 digits.
Divisors found:

Thu May 15 13:35:04 2008  prp57 factor: 125991706661408379069740433560492000863719150637957632449
Thu May 15 13:35:04 2008  prp75 factor: 270957140149426777544289571433775011527741409316792143226462515238075645737
Thu May 15 13:35:04 2008  elapsed time 01:35:31 (Msieve 1.35)

Version: GGNFS-0.77.1-20050930-k8
Total time: 71.47 hours.
Scaled time: 60.11 units (timescale=0.841).
Factorization parameters were as follows:
name: KA_1_4_167_7
n: 34138352519520697488492384808044363669564458449619491153150511809519512581286624284223734680550286431913886638391088083143379719913
type: snfs
deg: 5
c5: 13000
c0: 23
skew: 0.28
m: 1000000000000000000000000000000000
rlim: 3400000
alim: 3400000
lbpr: 28
lbpa: 28
mbpr: 48
mbpa: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved  special-q in [100000, 9101657)
Primes: RFBsize:243539, AFBsize:243864, largePrimes:6295660 encountered
Relations: rels:6358983, finalFF:386411
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 71.23 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,169,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,48,48,2.5,2.5,100000
total time: 71.47 hours.
 --------- CPU info (if available) ----------

327538422776518014613252708490803728898966994205089443184681279919375157470395565633660871756109851347946586041824137062232300327538422776518014613252708490803728898967<168>

446315784615474862410026239878656530619417<42>
733871474114925252241865494143887940469879995924979497675057972980625973036265099361056138544027803999139735087936933070351151<126>

Number: n
N=327538422776518014613252708490803728898966994205089443184681279919375157470395565633660871756109851347946586041824137062232300327538422776518014613252708490803728898967
  ( 168 digits)
SNFS difficulty: 171 digits.
Divisors found:

Tue May 13 13:00:56 2008  prp42 factor: 446315784615474862410026239878656530619417
Tue May 13 13:00:56 2008  prp126 factor: 733871474114925252241865494143887940469879995924979497675057972980625973036265099361056138544027803999139735087936933070351151
Tue May 13 13:00:56 2008  elapsed time 01:20:02 (Msieve 1.35)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 62.30 hours.
Scaled time: 113.95 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_1_4_169_7
n: 327538422776518014613252708490803728898966994205089443184681279919375157470395565633660871756109851347946586041824137062232300327538422776518014613252708490803728898967
skew: 1.12
deg: 5
c5: 13
c0: 23
m: 10000000000000000000000000000000000
type: snfs
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 4100573)
Primes: RFBsize:250150, AFBsize:249461, largePrimes:7723547 encountered
Relations: rels:7159466, finalFF:540371
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 62.05 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 62.30 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

1444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444447<172>

3983898590622918946099742220376300090916709488135066216815900242393474298893881<79>
362570585467285289874408318951946873117767996253948597783388693466115940756746792298079012887<93>

Number: 14447_171
N=1444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444447
  ( 172 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=3983898590622918946099742220376300090916709488135066216815900242393474298893881 (pp79)
 r2=362570585467285289874408318951946873117767996253948597783388693466115940756746792298079012887 (pp93)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 131.74 hours.
Scaled time: 244.78 units (timescale=1.858).
Factorization parameters were as follows:
n: 1444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444447
m: 10000000000000000000000000000000000
c5: 130
c0: 23
skew: 0.71
type: snfs
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 49/49
Sieved algebraic special-q in [4000000, 10200001)
Primes: RFBsize:539777, AFBsize:539940, largePrimes:10162557 encountered
Relations: rels:10122806, finalFF:1244958
Max relations in full relation-set: 28
Initial matrix: 1079784 x 1244958 with sparse part having weight 84970128.
Pruned matrix : 939205 x 944667 with weight 62887516.
Total sieving time: 124.92 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 6.48 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,49,49,2.6,2.6,100000
total time: 131.74 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 8178280k/8912896k available (2435k kernel code, 208060k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 4812.89 BogoMIPS (lpj=2406449)
Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405112)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405115)

Core 2 Quad Q6600

13084366643374336218427068763076664376928546378329855179938464251636991069258127603734260770465527458131984491027921287413301319<128>

149913770606299879910229935179747037<36>
50877483285356724843669322116346571593229<41>
1715479597622848701658232150207211689815887239314303<52>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=789472094
Step 1 took 38413ms
Step 2 took 14089ms
********** Factor found in step 2: 149913770606299879910229935179747037
Found probable prime factor of 36 digits: 149913770606299879910229935179747037
Composite cofactor 87279284554426964743980580315959098898746362920358811195503822260589842067230516396197654387 has 92 digits
-------------------------------
Tue Aug 18 20:18:26 2009  Msieve v. 1.42
Tue Aug 18 20:18:26 2009  random seeds: 6d03c3f8 644abe73
Tue Aug 18 20:18:26 2009  factoring 87279284554426964743980580315959098898746362920358811195503822260589842067230516396197654387 (92 digits)
Tue Aug 18 20:18:27 2009  searching for 15-digit factors
Tue Aug 18 20:18:28 2009  commencing quadratic sieve (92-digit input)
Tue Aug 18 20:18:28 2009  using multiplier of 3
Tue Aug 18 20:18:28 2009  using 64kb Pentium 3 sieve core
Tue Aug 18 20:18:28 2009  sieve interval: 18 blocks of size 65536
Tue Aug 18 20:18:28 2009  processing polynomials in batches of 6
Tue Aug 18 20:18:28 2009  using a sieve bound of 1855349 (69378 primes)
Tue Aug 18 20:18:28 2009  using large prime bound of 209654437 (27 bits)
Tue Aug 18 20:18:28 2009  using double large prime bound of 952154221467417 (42-50 bits)
Tue Aug 18 20:18:28 2009  using trial factoring cutoff of 50 bits
Tue Aug 18 20:18:28 2009  polynomial 'A' values have 12 factors
Tue Aug 18 23:33:35 2009  69929 relations (17625 full + 52304 combined from 894203 partial), need 69474
Tue Aug 18 23:33:39 2009  begin with 911828 relations
Tue Aug 18 23:33:40 2009  reduce to 177278 relations in 11 passes
Tue Aug 18 23:33:40 2009  attempting to read 177278 relations
Tue Aug 18 23:33:47 2009  recovered 177278 relations
Tue Aug 18 23:33:47 2009  recovered 158770 polynomials
Tue Aug 18 23:33:47 2009  attempting to build 69929 cycles
Tue Aug 18 23:33:47 2009  found 69929 cycles in 5 passes
Tue Aug 18 23:33:47 2009  distribution of cycle lengths:
Tue Aug 18 23:33:47 2009     length 1 : 17625
Tue Aug 18 23:33:47 2009     length 2 : 12725
Tue Aug 18 23:33:47 2009     length 3 : 11937
Tue Aug 18 23:33:47 2009     length 4 : 9581
Tue Aug 18 23:33:47 2009     length 5 : 7001
Tue Aug 18 23:33:47 2009     length 6 : 4657
Tue Aug 18 23:33:47 2009     length 7 : 2783
Tue Aug 18 23:33:47 2009     length 9+: 3620
Tue Aug 18 23:33:47 2009  largest cycle: 19 relations
Tue Aug 18 23:33:47 2009  matrix is 69378 x 69929 (17.2 MB) with weight 4231188 (60.51/col)
Tue Aug 18 23:33:47 2009  sparse part has weight 4231188 (60.51/col)
Tue Aug 18 23:33:49 2009  filtering completed in 3 passes
Tue Aug 18 23:33:49 2009  matrix is 65612 x 65676 (16.1 MB) with weight 3968846 (60.43/col)
Tue Aug 18 23:33:49 2009  sparse part has weight 3968846 (60.43/col)
Tue Aug 18 23:33:49 2009  saving the first 48 matrix rows for later
Tue Aug 18 23:33:49 2009  matrix is 65564 x 65676 (9.3 MB) with weight 2999864 (45.68/col)
Tue Aug 18 23:33:49 2009  sparse part has weight 2045539 (31.15/col)
Tue Aug 18 23:33:49 2009  matrix includes 64 packed rows
Tue Aug 18 23:33:49 2009  using block size 26270 for processor cache size 1024 kB
Tue Aug 18 23:33:50 2009  commencing Lanczos iteration
Tue Aug 18 23:33:50 2009  memory use: 10.1 MB
Tue Aug 18 23:34:24 2009  lanczos halted after 1038 iterations (dim = 65562)
Tue Aug 18 23:34:24 2009  recovered 16 nontrivial dependencies
Tue Aug 18 23:34:25 2009  prp41 factor: 50877483285356724843669322116346571593229
Tue Aug 18 23:34:25 2009  prp52 factor: 1715479597622848701658232150207211689815887239314303
Tue Aug 18 23:34:25 2009  elapsed time 03:15:59

GMP-ECM 6.2.1, Msieve v. 1.42

995249708300545791129799221580502120491420761030163428196894321573713576560876946695413362256842523332134667375458489194130944953153275856117997330389727<153>

1508884939339678464343119204491325903774757813009<49>
659592843928901000722573606753947216311128546998729114026951853355308952821337342212632003472349819672303<105>

SNFS difficulty: 176 digits.
Divisors found:
 r1=1508884939339678464343119204491325903774757813009
 r2=659592843928901000722573606753947216311128546998729114026951853355308952821337342212632003472349819672303
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.315).
Factorization parameters were as follows:
n: 995249708300545791129799221580502120491420761030163428196894321573713576560876946695413362256842523332134667375458489194130944953153275856117997330389727
Y1: 1
Y0: -100000000000000000000000000000000000
c5: 13
c0: 230
skew: 1.78
type: snfs
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [5000000, 8900001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1375609 x 1375857
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,10000000,10000000,27,27,54,54,2.6,2.6,100000
total time: 32.00 hours.

Msieve-1.38

Opteron-2.6GHz; Linux x86_64

2914231574374914644040391582107685995370916144611328381628442237813950091096767052130793232979910564293120444648813473231739771966502569323<139>

23948365687400334013371802775768660098182536495533207<53>
121688119031360219222666386047313967484870171087785331609614661495244393987945086067789<87>

N = 2914231574374914644040391582107685995370916144611328381628442237813950091096767052130793232979910564293120444648813473231739771966502569323 (139 digits)
SNFS difficulty: 177 digits.
Divisors found:
r1=23948365687400334013371802775768660098182536495533207 (pp53)
r2=121688119031360219222666386047313967484870171087785331609614661495244393987945086067789 (pp87)
Version: Msieve v. 1.47
Total time: 30.16 hours.
Factorization parameters were as follows:
name: (13*10^175+23)/9
n: 2914231574374914644040391582107685995370916144611328381628442237813950091096767052130793232979910564293120444648813473231739771966502569323
Y0: 100000000000000000000000000000000000
Y1: -1
c0: 23
c1: 0
c2: 0
c3: 0
c4: 0
c5: 13
skew: 1.12
type: snfs
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 19835143
Relations: 2220414 relations
Pruned matrix : 1265779 x 1266003
Polynomial selection time: 0.00 hours.
Total sieving time: 26.56 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 3.39 hours.
time per square root: 0.07 hours.
Prototype def-par.txt line would be: snfs,177,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,55,55,2.5,2.5,100000
total time: 30.16 hours.
Intel64 Family 6 Model 37 Stepping 5, GenuineIntel
Windows-7-6.1.7600
processors: 4, speed: 2.53GHz

39482355320255808647284070457658369801488167286535850306814506925810162039107635323134557403435573668326821325904197541413859830228659345018738328830087963<155>

98096280885089836692525776067342643262396844922860010801598875235244527<71>
402485751386492542648353800315624819010184929471350281953787168049066115588649022869<84>

Number: n
N=39482355320255808647284070457658369801488167286535850306814506925810162039107635323134557403435573668326821325904197541413859830228659345018738328830087963
  ( 155 digits)
SNFS difficulty: 177 digits.
Divisors found:

Sun Jan 15 12:45:51 2012  prp71 factor: 98096280885089836692525776067342643262396844922860010801598875235244527
Sun Jan 15 12:45:51 2012  prp84 factor: 402485751386492542648353800315624819010184929471350281953787168049066115588649022869
Sun Jan 15 12:45:51 2012  elapsed time 02:30:25 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.651).
Factorization parameters were as follows:
name: KA_14447_176
n: 39482355320255808647284070457658369801488167286535850306814506925810162039107635323134557403435573668326821325904197541413859830228659345018738328830087963
m: 100000000000000000000000000000000000
deg: 5
c5: 130
c0: 23
skew: 0.71
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, 9000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6774628 hash collisions in 75000095 relations
Msieve: matrix is 1171892 x 1172121 (322.6 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
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).

4189087628720144335030104745744544192155403838318079784769849137972237981462630931982336575255594813405411929343533880067746634058974765770857672602451569820593<160>

3387472320884066176904644601702149<34>
43642613691841337860076548914001350367<38>
28335634240003151676182725598929837196089670987777438408809471894674788133032985748012771<89>

N=4189087628720144335030104745744544192155403838318079784769849137972237981462630931982336575255594813405411929343533880067746634058974765770857672602451569820593
  ( 160 digits)
SNFS difficulty: 178 digits.
Divisors found:
 r1=3387472320884066176904644601702149 (pp34)
 r2=43642613691841337860076548914001350367 (pp38)
 r3=28335634240003151676182725598929837196089670987777438408809471894674788133032985748012771 (pp89)
Version: Msieve v. 1.47
Total time:
Scaled time: 32.28 units (timescale=1.176).
Factorization parameters were as follows:
n: 4189087628720144335030104745744544192155403838318079784769849137972237981462630931982336575255594813405411929343533880067746634058974765770857672602451569820593
m: 100000000000000000000000000000000000
deg: 5
c5: 1300
c0: 23
skew: 0.45
type: snfs
lss: 1
rlim: 6500000
alim: 6500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3250000, 8850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1327070 x 1327301
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,178.000,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,53,53,2.5,2.5,100000
total time:

52146008824709185720016044925792218210990774167669474528680304853590052146008824709185720016044925792218210990774167669474528680304853590052146008824709185720016044925792218211<176>

4761758900615140831294272937064147828242820480788864164772892249<64>
10950997291772328108097594654307473313103101691401224343725196196487050663817487869687697193902016189467940704539<113>

Number: n
N=52146008824709185720016044925792218210990774167669474528680304853590052146008824709185720016044925792218210990774167669474528680304853590052146008824709185720016044925792218211
  ( 176 digits)
SNFS difficulty: 179 digits.
Divisors found:

Sat Sep 20 00:18:31 2008  prp64 factor: 4761758900615140831294272937064147828242820480788864164772892249
Sat Sep 20 00:18:31 2008  prp113 factor: 10950997291772328108097594654307473313103101691401224343725196196487050663817487869687697193902016189467940704539
Sat Sep 20 00:18:31 2008  elapsed time 04:43:43 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 55.55 hours.
Scaled time: 113.93 units (timescale=2.051).
Factorization parameters were as follows:
name: KA_1_4_177_7
n: 52146008824709185720016044925792218210990774167669474528680304853590052146008824709185720016044925792218210990774167669474528680304853590052146008824709185720016044925792218211
type: snfs
skew: 0.28
deg: 5
c5: 13000
c0: 23
m: 100000000000000000000000000000000000
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 11400001)
Primes: RFBsize:539777, AFBsize:540425, largePrimes:15635665 encountered
Relations: rels:16290338, finalFF:1677740
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 54.95 hours.
Total relation processing time: 0.60 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,179,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,52,52,2.5,2.5,100000
total time: 55.55 hours.
 --------- CPU info (if available) ----------

1821392789543283208015779931781060988466531101782531745919385953070492792750885981972199805456529782001287277526518265512467687177712098940606237<145>

288973695487016950467173988492936237031<39>
6302970886238034739171505665375628792953474941628044343295005627629127166300252150262743694181327804174427<106>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1398906806
Step 1 took 11165ms
Step 2 took 5369ms
********** Factor found in step 2: 288973695487016950467173988492936237031
Found probable prime factor of 39 digits: 288973695487016950467173988492936237031
Probable prime cofactor 6302970886238034739171505665375628792953474941628044343295005627629127166300252150262743694181327804174427 has 106 digits

GMP-ECM 6.4.2

2466552547341160226913723237776553992923422935263438317170959617269747315880981227453378058085526624209134301860096715548697828332522814400581<142>

1287206237203019307596278076159400873925995900681683293<55>
1916206180526868729685505492579832370432615361497856167037059013739424170947866978782217<88>

N=2466552547341160226913723237776553992923422935263438317170959617269747315880981227453378058085526624209134301860096715548697828332522814400581
  ( 142 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=1287206237203019307596278076159400873925995900681683293 (pp55)
 r2=1916206180526868729685505492579832370432615361497856167037059013739424170947866978782217 (pp88)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 85.98 hours.
Scaled time: 165.34 units (timescale=1.923).
Factorization parameters were as follows:
n: 2466552547341160226913723237776553992923422935263438317170959617269747315880981227453378058085526624209134301860096715548697828332522814400581
m: 1000000000000000000000000000000000000
deg: 5
c5: 13
c0: 23
skew: 1.12
# Murphy_E = 1.178e-10
type: snfs
lss: 1
rlim: 7300000
alim: 7300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7300000/7300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3650000, 8050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1273583 x 1273820
Total sieving time: 84.12 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 1.60 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7300000,7300000,28,28,53,53,2.5,2.5,100000
total time: 85.98 hours.
 --------- CPU info (if available) ----------

101723697927436979167016362493984010049479223127573581459834966967550634921943382131172246473590193<99>

102018902795014993632340869013035640829170549<45>
997106370883333600948149656195325748620925984243486157<54>

Number: n
N=101723697927436979167016362493984010049479223127573581459834966967550634921943382131172246473590193
  ( 99 digits)
Divisors found:
 r1=102018902795014993632340869013035640829170549 (pp45)
 r2=997106370883333600948149656195325748620925984243486157 (pp54)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 4.25 hours.
Scaled time: 6.15 units (timescale=1.447).
Factorization parameters were as follows:
name: KA_1_4_181_7
n: 101723697927436979167016362493984010049479223127573581459834966967550634921943382131172246473590193
skew: 6786.40
# norm 6.40e+12
c5: 6720
c4: -46547316
c3: -657241524361
c2: 745994210091040
c1: 19255522875488259842
c0: 27254605737004070974296
# alpha -4.83
Y1: 3483090343
Y0: -6855053980282929445
# Murphy_E 4.58e-09
# M 75668479141657735935132313982434429942620819883454237349454038312847628844105708453299769010362350
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 600001)
Primes: RFBsize:135072, AFBsize:135868, largePrimes:3060466 encountered
Relations: rels:2953693, finalFF:326435
Max relations in full relation-set: 28
Initial matrix: 271017 x 326435 with sparse part having weight 13200354.
Pruned matrix : 198762 x 200181 with weight 5770811.
Total sieving time: 3.70 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.31 hours.
Total square root time: 0.13 hours, sqrts: 3.
Prototype def-par.txt line would be:
gnfs,98,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 4.25 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

14444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444447<185>

130313823514075667946558550056804849533881379<45>
134178502432547024473255568544090457894328704524614680930133832431<66>
826090095056379329198269351883150800396104341540990784443107295090242772603<75>

Number: n
N=14444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444447
  ( 185 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=130313823514075667946558550056804849533881379 (pp45)
 r2=134178502432547024473255568544090457894328704524614680930133832431 (pp66)
 r3=826090095056379329198269351883150800396104341540990784443107295090242772603 (pp75)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 360.94 hours.
Scaled time: 474.28 units (timescale=1.314).
Factorization parameters were as follows:
name: KA_1_4_183_7
n: 14444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444447
type: snfs
deg: 5
c5: 13
c0: 230
skew: 1.78
m: 10000000000000000000000000000000000000
rlim: 8000000
alim: 8000000
lbpr: 28
lbpa: 28
mbpr: 48
mbpa: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 22200001)
Primes: RFBsize:539777, AFBsize:538330, largePrimes:6770291 encountered
Relations: rels:7309531, finalFF:1208038
Max relations in full relation-set: 28
Initial matrix: 1078172 x 1208038 with sparse part having weight 76505435.
Pruned matrix : 964515 x 969969 with weight 57010962.
Total sieving time: 339.65 hours.
Total relation processing time: 0.54 hours.
Matrix solve time: 20.19 hours.
Total square root time: 0.57 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8000000,8000000,27,27,48,48,2.5,2.5,100000
total time: 360.94 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

101296789867835711838715838690105224221262432556607006358844202323250939074384546949241956477676722382825313871920253963733662078627313214883543362997067<153>

347065102152677332898142918880620307<36>

291866826251157522732560483577317628376720394762570568876945131883672494467512685797723451132174487541277522927624681<117>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=839293145
Step 1 took 20030ms
Step 2 took 11373ms
********** Factor found in step 2: 347065102152677332898142918880620307
Found probable prime factor of 36 digits: 347065102152677332898142918880620307
Composite cofactor 291866826251157522732560483577317628376720394762570568876945131883672494467512685797723451132174487541277522927624681 has 117 digits

GMP-ECM 6.3

291866826251157522732560483577317628376720394762570568876945131883672494467512685797723451132174487541277522927624681<117>

498188026220317989265755325092823<33>
585856766702142170504531160865167510575296631805022573910322728449652570691412394047<84>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1673003406
Step 1 took 6459ms
Step 2 took 5210ms
********** Factor found in step 2: 498188026220317989265755325092823
Found probable prime factor of 33 digits: 498188026220317989265755325092823

GMP-ECM 6.3

329881260214684829594791355574680799465151633821967866359448286743405552882146665435721608770125843057030604374326147530655554322570247227301010559318886394255915247607263321<174>

1399294996950107610550589081712240298378181577179271032125855643576564802528529297<82>
235748188147382385023873244492155018328726099026687978125790727473460522432953126639636997193<93>

329881260214684829594791355574680799465151633821967866359448286743405552882146665435721608770125843057030604374326147530655554322570247227301010559318886394255915247607263321=1399294996950107610550589081712240298378181577179271032125855643576564802528529297*235748188147382385023873244492155018328726099026687978125790727473460522432953126639636997193

n: 329881260214684829594791355574680799465151633821967866359448286743405552882146665435721608770125843057030604374326147530655554322570247227301010559318886394255915247607263321
skew: 0.89
type: snfs
c0: 115
c5: 208
Y0: 50000000000000000000000000000000000000
Y1: -1
# f(x) = 208*x^5+115
# g(x) = -x+50000000000000000000000000000000000000

Info:Square Root: Factors: 1399294996950107610550589081712240298378181577179271032125855643576564802528529297 235748188147382385023873244492155018328726099026687978125790727473460522432953126639636997193
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: 4.6/2.10803
Info:Generate Free Relations: Total cpu/real time for freerel: 98.96/25.4978
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25904401
Info:Lattice Sieving: Average J: 1893.93 for 2340082 special-q, max bucket fill -bkmult 1.0,1s:1.077740
Info:Lattice Sieving: Total time: 465573s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 52.55/62.4482
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 62s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 420.37/262.59
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 226.4s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 335.45/200.01
Info:Filtering - Merging: Total cpu/real time for merge: 297.99/85.6688
Info:Filtering - Merging: Total cpu/real time for replay: 79.48/68.7485
Info:Linear Algebra: Total cpu/real time for bwc: 75551/19490.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 12523.45, iteration CPU time 0.18, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (65536 iterations)
Info:Linear Algebra: Lingen CPU time 425.93, WCT time 125.44
Info:Linear Algebra: Mksol: WCT time 6705.4, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (32768 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 74.86/37.1701
Info:Square Root: Total cpu/real time for sqrt: 578.26/182.596
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 965929/123780
Info:root: Cleaning up computation data in /tmp/cado.tpo7od5c
1399294996950107610550589081712240298378181577179271032125855643576564802528529297 235748188147382385023873244492155018328726099026687978125790727473460522432953126639636997193

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)

1871237333044290490645956660703574247499490247718514170731094415373529604280586216238758938023498804568082632342152470849028226601249848667<139>

11508230466259537019830003899392039052640635905448818863231403411<65>
162599918252461750138025996886640565549564043792072798450512927689520399897<75>

=== factorization ===
1871237333044290490645956660703574247499490247718514170731094415373529604280586216238758938023498804568082632342152470849028226601249848667  ==
 11508230466259537019830003899392039052640635905448818863231403411 * 162599918252461750138025996886640565549564043792072798450512927689520399897

=== c140.poly ===
n: 1871237333044290490645956660703574247499490247718514170731094415373529604280586216238758938023498804568082632342152470849028226601249848667
skew: 161317.017
c0: 27242112233478357102429654418944
c1: -1556051530236856035232070548
c2: -18579482791376948128959
c3: 116878261517444818
c4: -182166446100
c5: -873000
Y0: -502568820896794105671674329
Y1: 6881087722462054553
# MurphyE (Bf=2.02e+07,Bg=1.65e+07,area=6.79e+14) = 8.89e-10
# f(x) = -873000*x^5-182166446100*x^4+116878261517444818*x^3-18579482791376948128959*x^2-1556051530236856035232070548*x+27242112233478357102429654418944
# g(x) = 6881087722462054553*x-502568820896794105671674329

=== end of  c140.log ===
PID954 2017-11-14 11:41:56,515 Info:Polynomial Selection (size optimized): Aggregate statistics:
PID954 2017-11-14 11:41:56,515 Info:Polynomial Selection (size optimized): potential collisions: 65655.1
PID954 2017-11-14 11:41:56,515 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 65900/40.750/49.780/54.630/0.960
PID954 2017-11-14 11:41:56,515 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 65900/39.520/44.479/50.530/1.192
PID954 2017-11-14 11:41:56,515 Info:Polynomial Selection (size optimized): Total time: 39894.1
PID954 2017-11-14 11:41:56,516 Info:Polynomial Selection (root optimized): Aggregate statistics:
PID954 2017-11-14 11:41:56,516 Info:Polynomial Selection (root optimized): Total time: 3963.79
PID954 2017-11-14 11:41:56,516 Info:Polynomial Selection (root optimized): Rootsieve time: 3962.45
PID954 2017-11-14 11:41:56,516 Info:Generate Factor Base: Total cpu/real time for makefb: 26.37/4.53072
PID954 2017-11-14 11:41:56,516 Info:Generate Free Relations: Total cpu/real time for freerel: 337.41/47.9928
PID954 2017-11-14 11:41:56,516 Info:Lattice Sieving: Aggregate statistics:
PID954 2017-11-14 11:41:56,517 Info:Lattice Sieving: Total number of relations: 25173832
PID954 2017-11-14 11:41:56,517 Info:Lattice Sieving: Average J: 3780.91 for 772299 special-q, max bucket fill: 0.720992
PID954 2017-11-14 11:41:56,517 Info:Lattice Sieving: Total CPU time: 1.21094e+06s
PID954 2017-11-14 11:41:56,517 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 86.06/84.5585
PID954 2017-11-14 11:41:56,517 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
PID954 2017-11-14 11:41:56,517 Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 84.4s
PID954 2017-11-14 11:41:56,517 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 369.54/117.163
PID954 2017-11-14 11:41:56,517 Info:Filtering - Singleton removal: Total cpu/real time for purge: 223.31/98.7381
PID954 2017-11-14 11:41:56,518 Info:Filtering - Merging: Total cpu/real time for merge: 1609.96/1503.05
PID954 2017-11-14 11:41:56,518 Info:Filtering - Merging: Total cpu/real time for replay: 110.76/98.5898
PID954 2017-11-14 11:41:56,518 Info:Linear Algebra: Total cpu/real time for bwc: 134019/0.00136948
PID954 2017-11-14 11:41:56,518 Info:Linear Algebra: Aggregate statistics:
PID954 2017-11-14 11:41:56,518 Info:Linear Algebra: Krylov: WCT time 13656.57
PID954 2017-11-14 11:41:56,518 Info:Linear Algebra: Lingen CPU time 506.87, WCT time 98.91
PID954 2017-11-14 11:41:56,518 Info:Linear Algebra: Mksol: WCT time 7547.88
PID954 2017-11-14 11:41:56,518 Info:Quadratic Characters: Total cpu/real time for characters: 85.19/27.2836
PID954 2017-11-14 11:41:56,518 Info:Square Root: Total cpu/real time for sqrt: 3716.71/574.559
PID954 2017-11-14 11:41:56,519 Info:HTTP server: Shutting down HTTP server
PID954 2017-11-14 11:41:56,770 Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 1.39539e+06/109825

CADO-NFS

Two google compute engine VMs with 8 2.3GHz Haswell cores and 8 and 16 GB RAM each, for approximately 30 hours.

1685289077230009467477538807130226181158811156835053798339057727432760588816583828561885708429215857645462356028296583066530644331964269498237103<145>

1037206886448544711406825161076719875069927461334299633398859922031687<70>
1624834060830944717212514640565809097033470430760424987011696845551325486169<76>

1685289077230009467477538807130226181158811156835053798339057727432760588816583828561885708429215857645462356028296583066530644331964269498237103=1037206886448544711406825161076719875069927461334299633398859922031687*1624834060830944717212514640565809097033470430760424987011696845551325486169

n: 1685289077230009467477538807130226181158811156835053798339057727432760588816583828561885708429215857645462356028296583066530644331964269498237103
skew: 152926.999
c0: 71886676514927876553002963623740
c1: 6187747277264358713464177943
c2: -25412378308845506345652
c3: -537445473611664447
c4: 712129184608
c5: 3125760
Y0: -6071205181986834112835513039
Y1: 1506872063109696800929
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 1.92e-07
# found by revision 7f9c8bd19
# f(x) = 3125760*x^5+712129184608*x^4-537445473611664447*x^3-25412378308845506345652*x^2+6187747277264358713464177943*x+71886676514927876553002963623740
# g(x) = 1506872063109696800929*x-6071205181986834112835513039

Info:Square Root: Factors: 1037206886448544711406825161076719875069927461334299633398859922031687 1624834060830944717212514640565809097033470430760424987011696845551325486169
Info:Square Root: Total cpu/real time for sqrt: 3433.97/1001.3
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: 18.24/5.01408
Info:Generate Free Relations: Total cpu/real time for freerel: 469.85/118.709
Warning:Lattice Sieving: some stats could not be displayed for sieving (see log file for debug info)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 49355038
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 105.58/77.2079
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 77.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 561.74/175.279
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 164.6s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 243.88/103.652
Info:Filtering - Merging: Total cpu/real time for merge: 519.09/150.865
Info:Filtering - Merging: Total cpu/real time for replay: 154.59/133.177
Info:Linear Algebra: Total cpu/real time for bwc: 237633/60665.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 38841.42, iteration CPU time 0.33, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (113152 iterations)
Info:Linear Algebra: Lingen CPU time 799.41, WCT time 230.21
Info:Linear Algebra: Mksol: WCT time 21123.3, iteration CPU time 0.35, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (56832 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 147.24/60.3072
Info:Square Root: Total cpu/real time for sqrt: 3433.97/1001.3
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 177819/62721.2
Info:root: Cleaning up computation data in /tmp/cado.w4t8xta2
1037206886448544711406825161076719875069927461334299633398859922031687 1624834060830944717212514640565809097033470430760424987011696845551325486169

cado-nfs-3.0.0

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

2428752140042345092889937649431367605772781656042124512518432210530648112769743226424130707529477577373645814055484657215476574930133345232859726043594705016237741210804889<172>

848648243141421493302267889782032008285353358841<48>
2861906755444269464943864460087751406369540837155469582741889742589431857013807966239345720931255864569767998356202983258529<124>

GMP-ECM 7.0.4 [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 2428752140042345092889937649431367605772781656042124512518432210530648112769743226424130707529477577373645814055484657215476574930133345232859726043594705016237741210804889 (172 digits)
Run 1105 out of 1868:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3076369676
Step 1 took 113299ms
Step 2 took 28780ms
********** Factor found in step 2: 848648243141421493302267889782032008285353358841
Found prime factor of 48 digits: 848648243141421493302267889782032008285353358841
Prime cofactor 2861906755444269464943864460087751406369540837155469582741889742589431857013807966239345720931255864569767998356202983258529 has 124 digits

GMP-ECM 7.0.4

Linux Ubuntu 18.04 LTS [4.15.0-109-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)]
GenuineIntel Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz [Family 6 Model 63 Stepping 2] (12 processors)

849673202614379084967320261437908496732026143790849673202614379084967320261437908496732026143790849673202614379084967320261437908496732026143790849673202614379084967320261437908496732026143791<192>

1196455461628544734772941131559603494899791069387129434425021729<64>
5746234301488081463418161619215684930851366835539570351147091267<64>
123586790714944675816525046385603864129642170689196698566797580037<66>

Number: n
N=849673202614379084967320261437908496732026143790849673202614379084967320261437908496732026143790849673202614379084967320261437908496732026143790849673202614379084967320261437908496732026143791
  ( 192 digits)
SNFS difficulty: 194 digits.
Divisors found:

Wed Oct 01 20:28:23 2008  prp64 factor: 1196455461628544734772941131559603494899791069387129434425021729
Wed Oct 01 20:28:23 2008  prp64 factor: 5746234301488081463418161619215684930851366835539570351147091267
Wed Oct 01 20:28:23 2008  prp66 factor: 123586790714944675816525046385603864129642170689196698566797580037
Wed Oct 01 20:28:23 2008  elapsed time 24:38:46 (Msieve 1.38)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 207.28 hours.
Scaled time: 266.77 units (timescale=1.287).
Factorization parameters were as follows:
name: KA_1_4_192_7
n: 849673202614379084967320261437908496732026143790849673202614379084967320261437908496732026143790849673202614379084967320261437908496732026143790849673202614379084967320261437908496732026143791
type: snfs
skew: 0.28
deg: 5
c5: 13000
c0: 23
m: 100000000000000000000000000000000000000
rlim: 9500000
alim: 9500000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 9500000/9500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 17600001)
Primes: RFBsize:633578, AFBsize:634378, largePrimes:15782300 encountered
Relations: rels:16300207, finalFF:1288581
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 206.17 hours.
Total relation processing time: 1.11 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,194,5,0,0,0,0,0,0,0,0,9500000,9500000,28,28,52,52,2.5,2.5,100000
total time: 207.28 hours.
 --------- CPU info (if available) ----------

3432886809175397032196339913330534024884982534747861246146538642357430422156175510072541804926634570136593541517829<115>

37391517136576492214407196832292095434789606457973<50>
91809241027487944385754632122283696654344609873546408374196174673<65>

Number: n
N=3432886809175397032196339913330534024884982534747861246146538642357430422156175510072541804926634570136593541517829
  ( 115 digits)
Divisors found:

Sun Mar 09 22:18:21 2008  prp50 factor: 37391517136576492214407196832292095434789606457973
Sun Mar 09 22:18:21 2008  prp65 factor: 91809241027487944385754632122283696654344609873546408374196174673
Sun Mar 09 22:18:21 2008  elapsed time 01:09:35 (Msieve 1.33)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 27.63 hours.
Scaled time: 50.54 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_1_4_194_7
n: 3432886809175397032196339913330534024884982534747861246146538642357430422156175510072541804926634570136593541517829
skew: 63552.14
# norm 2.83e+16
c5: 80640
c4: -8836498296
c3: -1373598062853518
c2: 37201918264484422373
c1: 1921950600134982397290562
c0: -16625469219239268679518449376
# alpha -7.09
Y1: 2512263133757
Y0: -8429942835838585877603
# Murphy_E 5.26e-10
# M 106777821378733491274746654241528362728436178840541836325753017700893053191371109931252808924794581284601019233135
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 1700341)
Primes: RFBsize:250150, AFBsize:250791, largePrimes:7112358 encountered
Relations: rels:6818052, finalFF:557631
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 27.43 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,114,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 27.63 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

359295985912236483282775809568733069700515487252352971275333254567512886529014145497788637789396313035919971840592993740715620279639049200325491006299202050691275206302409836613503<180>

7691344377371965459393815249705473<34>

46714328247905517846476496808480300543590955947285823024982225791437275636098807476211547788933458475387684043431352260634251208605988269909322111<146>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1833210724
Step 1 took 9267ms
Step 2 took 6240ms
********** Factor found in step 2: 7691344377371965459393815249705473
Found probable prime factor of 34 digits: 7691344377371965459393815249705473
Composite cofactor 46714328247905517846476496808480300543590955947285823024982225791437275636098807476211547788933458475387684043431352260634251208605988269909322111 has 146 digits

GMP-ECM 6.3

46714328247905517846476496808480300543590955947285823024982225791437275636098807476211547788933458475387684043431352260634251208605988269909322111<146>

44997442987375512536471289381699719482155251<44>
1038155173862028000659840566016821034497933601638903950245668627611973942724223549642323026907018401861<103>

46714328247905517846476496808480300543590955947285823024982225791437275636098807476211547788933458475387684043431352260634251208605988269909322111=44997442987375512536471289381699719482155251*1038155173862028000659840566016821034497933601638903950245668627611973942724223549642323026907018401861

cado polynomial
n: 46714328247905517846476496808480300543590955947285823024982225791437275636098807476211547788933458475387684043431352260634251208605988269909322111
skew: 0.71
type: snfs
c0: 23
c5: 130
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 130*x^5+23
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13500000
tasks.lim1 = 13500000
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: 1038155173862028000659840566016821034497933601638903950245668627611973942724223549642323026907018401861 44997442987375512536471289381699719482155251
Info:Square Root: Total cpu/real time for sqrt: 842.03/268.557
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 31658434
Info:Lattice Sieving: Average J: 1893.46 for 5083456 special-q, max bucket fill -bkmult 1.0,1s:1.124380
Info:Lattice Sieving: Total time: 1.36094e+06s
Info:Square Root: Total cpu/real time for sqrt: 842.03/268.557
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 137.46/232.013
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 230.1s
Info:Filtering - Merging: Merged matrix has 3016984 rows and total weight 516661980 (171.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 843.31/317.45
Info:Filtering - Merging: Total cpu/real time for replay: 118.55/104.273
Info:Linear Algebra: Total cpu/real time for bwc: 166208/42568.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 106694.42, WCT time 27232.58, iteration CPU time 0.27, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (94720 iterations)
Info:Linear Algebra: Lingen CPU time 654.64, WCT time 166.17
Info:Linear Algebra: Mksol: CPU time 57715.46,  WCT time 14744.61, iteration CPU time 0.29, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (47616 iterations)
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 603.99/909.178
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 762.9s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.7/4.27714
Info:Quadratic Characters: Total cpu/real time for characters: 104.06/46.3534
Info:Filtering - Singleton removal: Total cpu/real time for purge: 467.52/723.744
Info:Generate Free Relations: Total cpu/real time for freerel: 119/46.508
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.29647e+06/184509
Info:root: Cleaning up computation data in /tmp/cado.358mcnhn
1038155173862028000659840566016821034497933601638903950245668627611973942724223549642323026907018401861 44997442987375512536471289381699719482155251

cado-nfs-3.0.0

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

51357066117492293940042807873871148801767084025610575557912798274680838279763264465704929474707800866886563622032559027983526986182936022780795747966608284404991<161>

155745104983396520565796157796910248746884043299293135741188128726380645568747<78>
329750756037997494921801026901809132908639654105403356087283318719348769551131496253<84>

51357066117492293940042807873871148801767084025610575557912798274680838279763264465704929474707800866886563622032559027983526986182936022780795747966608284404991=
155745104983396520565796157796910248746884043299293135741188128726380645568747 329750756037997494921801026901809132908639654105403356087283318719348769551131496253

cado polynomial
n: 51357066117492293940042807873871148801767084025610575557912798274680838279763264465704929474707800866886563622032559027983526986182936022780795747966608284404991
skew: 1.61
type: snfs
c0: 230
c6: 13
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 13*x^6+230
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 14600000
tasks.lim1 = 14600000
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: 155745104983396520565796157796910248746884043299293135741188128726380645568747 329750756037997494921801026901809132908639654105403356087283318719348769551131496253
Info:Square Root: Total cpu/real time for sqrt: 945.85/291.299
Info:Generate Factor Base: Total cpu/real time for makefb: 9.55/3.79648
Info:Square Root: Total cpu/real time for sqrt: 945.85/291.299
Info:Filtering - Merging: Merged matrix has 3220877 rows and total weight 549365724 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 895.63/248.446
Info:Filtering - Merging: Total cpu/real time for replay: 127.79/112.483
Info:Filtering - Singleton removal: Total cpu/real time for purge: 602.62/697.333
Info:Quadratic Characters: Total cpu/real time for characters: 112.14/47.9328
Info:Linear Algebra: Total cpu/real time for bwc: 156030/39866.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 89876.37, WCT time 22914.15, iteration CPU time 0.29, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (100864 iterations)
Info:Linear Algebra: Lingen CPU time 723.41, WCT time 183.4
Info:Linear Algebra: Mksol: CPU time 65423.8,  WCT time 16723.64, iteration CPU time 0.31, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (50688 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 33271052
Info:Lattice Sieving: Average J: 1893.79 for 7455934 special-q, max bucket fill -bkmult 1.0,1s:1.195620
Info:Lattice Sieving: Total time: 1.60178e+06s
Info:Generate Free Relations: Total cpu/real time for freerel: 181.22/46.8144
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 700.77/729.615
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 591.6s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 146.01/173.706
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 172.69999999999996s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.16353e+06/40211.2
155745104983396520565796157796910248746884043299293135741188128726380645568747 329750756037997494921801026901809132908639654105403356087283318719348769551131496253

cado-nfs-3.0.0

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

2205139735625675455818440066649785353479042891137898839136974049458833516499762054740029875402695374463985106517<112>

333670648710684229453163570612770033938844831<45>
6608731526570938248049146439234589449529372334618254009651625581707<67>

Number: n
N=2205139735625675455818440066649785353479042891137898839136974049458833516499762054740029875402695374463985106517
  ( 112 digits)
Divisors found:

Sun Mar  9 15:40:53 2008  prp45 factor: 333670648710684229453163570612770033938844831
Sun Mar  9 15:40:53 2008  prp67 factor: 6608731526570938248049146439234589449529372334618254009651625581707
Sun Mar  9 15:40:53 2008  elapsed time 00:47:41 (Msieve 1.33)

Version: GGNFS-0.77.1-20050930-k8
Total time: 22.43 hours.
Scaled time: 18.82 units (timescale=0.839).
Factorization parameters were as follows:
name: KA_1_4_198_7
n: 2205139735625675455818440066649785353479042891137898839136974049458833516499762054740029875402695374463985106517
skew: 12947.06
# norm 1.05e+15
c5: 79260
c4: 4596673684
c3: -60634614034228
c2: -616319288220440177
c1: 784693312699527700878
c0: 10872847761019001446446576
# alpha -5.24
Y1: 715729016893
Y0: -1944798252444552188581
# Murphy_E 8.28e-10
# M 306958205911432083419999205075881375379766157974305319669852638518609333434617979646532294229843553801664968650
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 1300253)
Primes: RFBsize:250150, AFBsize:250374, largePrimes:6817999 encountered
Relations: rels:6507370, finalFF:555111
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 22.25 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 22.43 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656)
Total of 2 processors activated (11993.08 BogoMIPS).

121375020609635779359232139853619808766079035905677716251724717564141515268242104276898364690546629406610397749084961525998764880545528169093101966880007364110075572722184777<174>

542663091332252366276500923547432018855832541999748129067797105088001750429396806257<84>
223665516502434071468558109419204750278468958655819810275190647932626710059233271762518361<90>

Number: n
N=121375020609635779359232139853619808766079035905677716251724717564141515268242104276898364690546629406610397749084961525998764880545528169093101966880007364110075572722184777  ( 174 digits)
SNFS difficulty: 202 digits.
Divisors found:

Mon Nov 15 17:49:33 2021  p84 factor: 542663091332252366276500923547432018855832541999748129067797105088001750429396806257
Mon Nov 15 17:49:33 2021  p90 factor: 223665516502434071468558109419204750278468958655819810275190647932626710059233271762518361
Mon Nov 15 17:49:33 2021  elapsed time 01:45:56 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 13x10^201+23 = 14(200)7
#
n: 121375020609635779359232139853619808766079035905677716251724717564141515268242104276898364690546629406610397749084961525998764880545528169093101966880007364110075572722184777
m: 10000000000000000000000000000000000000000
deg: 5
c5: 130
c0: 23
skew: 0.71
# Murphy_E = 1.114e-11
type: snfs
lss: 1
rlim: 16400000
alim: 16400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 16400000/16400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 35400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4357333 hash collisions in 30409343 relations (26990666 unique)
Msieve: matrix is 2236529 x 2236754 (777.9 MB)

Sieving start time : 2021/11/15 04:34:14
Sieving end time  : 2021/11/15 16:03:07

Total sieving time: 11hrs 28min 53secs.

Total relation processing time: 1hrs 33min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 5sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16400000,16400000,28,28,55,55,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118892] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2728K init, 4972K bss, 487280K reserved, 0K cma-reserved)
[    0.152618] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084)
[    0.150210] smpboot: Total of 16 processors activated (102384.67 BogoMIPS)

921397124816928856969467689865107648253200756276510356582570427307650552082296961938982714877755103689671719106411771036460587249748720658165262433246576670682143711<165>

3125498314198888503986621799860848235324715619480559095620049823278033<70>
294800070961835275487119755707348656581288094797052925634665652010261708798151538603791231803567<96>

Number: 14447_203
N = 921397124816928856969467689865107648253200756276510356582570427307650552082296961938982714877755103689671719106411771036460587249748720658165262433246576670682143711 (165 digits)
SNFS difficulty: 205 digits.
Divisors found:
r1=3125498314198888503986621799860848235324715619480559095620049823278033 (pp70)
r2=294800070961835275487119755707348656581288094797052925634665652010261708798151538603791231803567 (pp96)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 66.45 hours.
Factorization parameters were as follows:
n: 921397124816928856969467689865107648253200756276510356582570427307650552082296961938982714877755103689671719106411771036460587249748720658165262433246576670682143711
m: 10000000000000000000000000000000000000000
deg: 5
c5: 13000
c0: 23
skew: 0.28
# Murphy_E = 7.882e-12
type: snfs
lss: 1
rlim: 17700000
alim: 17700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17700000/17700000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 40794941
Relations: 6603514 relations
Pruned matrix : 3997503 x 3997731
Total sieving time: 60.89 hours.
Total relation processing time: 0.31 hours.
Matrix solve time: 5.07 hours.
time per square root: 0.17 hours.
Prototype def-par.txt line would be: snfs,205,5,0,0,0,0,0,0,0,0,17700000,17700000,29,29,56,56,2.6,2.6,100000
total time: 66.45 hours.
Intel64 Family 6 Model 45 Stepping 6, GenuineIntel
processors: 12, speed: 3.30GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

1177068235879608874649327456951716110161509077597724189153396972227076931425021104748417004823261805934300632132048611192007035309533948926372076797999<151>

402125697698189187993249493901339954316213231054881959130431070360837<69>
2927115184673036950184631578304550629694991324001039404622151109540743553030424227<82>

402125697698189187993249493901339954316213231054881959130431070360837
2927115184673036950184631578304550629694991324001039404622151109540743553030424227

yafu

16966576345456558772800703403714132599906471620861399802538224829911253704072359091727102688292856494230948872326644021554341344373288205190662829802286790050307<161>

7734224079273066134172410669515942394947314369359772508757401163<64>
2193701161429400224792691797626842197317095759568737790340266419687756491327435996321786855323689<97>

Number: n
N=16966576345456558772800703403714132599906471620861399802538224829911253704072359091727102688292856494230948872326644021554341344373288205190662829802286790050307  ( 161 digits)
SNFS difficulty: 206 digits.
Divisors found:

Thu Jan 11 12:47:39 2024  prp64 factor: 7734224079273066134172410669515942394947314369359772508757401163
Thu Jan 11 12:47:39 2024  prp97 factor: 2193701161429400224792691797626842197317095759568737790340266419687756491327435996321786855323689
Thu Jan 11 12:47:39 2024  elapsed time 04:50:10 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.657).
Factorization parameters were as follows:
#
# N = 13x10^205+23 = 14(204)7
#
n: 16966576345456558772800703403714132599906471620861399802538224829911253704072359091727102688292856494230948872326644021554341344373288205190662829802286790050307
m: 100000000000000000000000000000000000000000
deg: 5
c5: 13
c0: 23
skew: 1.12
# Murphy_E = 1.092e-11
type: snfs
lss: 1
rlim: 19100000
alim: 19100000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19100000/19100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 42350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3246664 hash collisions in 19216409 relations (16418744 unique)
Msieve: matrix is 2259055 x 2259280 (635.7 MB)

Sieving start time: 2024/01/10 15:18:28
Sieving end time  : 2024/01/11 07:55:54

Total sieving time: 16hrs 37min 26secs.

Total relation processing time: 4hrs 30min 46sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 46sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19100000,19100000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

329951767475986074250080745037836081437572762594143002661713111223829413054009721008196744674854141532563226883514088073<120>

37108238149113728337363866733758461<35>
7410292414186014442002877649289641911<37>
1199899239855737057673232803534623266155718169963<49>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3100074002
Step 1 took 4492ms
Step 2 took 3620ms
********** Factor found in step 2: 37108238149113728337363866733758461
Found probable prime factor of 35 digits: 37108238149113728337363866733758461
Composite cofactor 8891604234890533360416079513365592124554749238534805929047814179356479691312506119293 has 85 digits

starting SIQS on c85: 8891604234890533360416079513365592124554749238534805929047814179356479691312506119293

==== sieving in progress ( 4 threads):   56400 relations needed ====
====            Press ctrl-c to abort and save state            ====
57005 rels found: 19132 full + 37873 from 584914 partial, (1700.74 rels/sec)

SIQS elapsed time = 363.9174 seconds.

***factors found***

PRP49 = 1199899239855737057673232803534623266155718169963
PRP37 = 7410292414186014442002877649289641911

GMP-ECM 6.3, YAFU 1.24

10661988938146045406563538705969491328613944027578077715333701350956842646946579680142136742700123292728117144776455336593697440712299171229481888141945283775020561<164>

137383902482551075750685444759556384065861923309584758032904625787834572282904578274832931259227184002795327852070826218538586959718891719769092149915909077488298698101059686482918351625507429<192>

224615253556558514657826039263142743173948732930375818398651800295531940620296232751561687775711376666516732229098459969458275847133168407326178200439<150>

141700317431114887375673414751338061917768930026082290924697334487492526408145223116846952115370436599439526404711336879629140781786990817250556274053719022433979079108695174737<177>

7797068967937745269662053097174796775140191884823693255279418939341185134126778785603521366506918098485774959300484542073560234433896875429631620201344659602823268532139048362490433753591692080508232579953<205>

62110203942837481719831573198613335320195844637554781371103325417<65>
8364311125487173971227056339286372228831689715324575682492905289503<67>
15008532902531945306618374372577276327081392340821378267210485443284311703<74>

Number: n
N=7797068967937745269662053097174796775140191884823693255279418939341185134126778785603521366506918098485774959300484542073560234433896875429631620201344659602823268532139048362490433753591692080508232579953  ( 205 digits)
SNFS difficulty: 214 digits.
Divisors found:

Mon Jul 27 05:18:38 2020  found factor: 15008532902531945306618374372577276327081392340821378267210485443284311703
Mon Jul 27 05:28:17 2020  p65 factor: 62110203942837481719831573198613335320195844637554781371103325417
Mon Jul 27 05:28:17 2020  p67 factor: 8364311125487173971227056339286372228831689715324575682492905289503
Mon Jul 27 05:28:17 2020  p74 factor: 15008532902531945306618374372577276327081392340821378267210485443284311703
Mon Jul 27 05:28:17 2020  elapsed time 06:44:21 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.124).
Factorization parameters were as follows:
#
# N = 13x10^213+23 = 14(212)7
#
n: 7797068967937745269662053097174796775140191884823693255279418939341185134126778785603521366506918098485774959300484542073560234433896875429631620201344659602823268532139048362490433753591692080508232579953
m: 100000000000000000000000000000000000
deg: 6
c6: 13000
c0: 23
skew: 0.35
# Murphy_E = 2.859e-12
type: snfs
lss: 1
rlim: 26000000
alim: 26000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 26000000/26000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 89000000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 10044360 hash collisions in 58172031 relations (50165975 unique)
Msieve: matrix is 3934425 x 3934650 (1373.1 MB)

Sieving start time: 2020/07/25 06:29:47
Sieving end time  : 2020/07/26 22:43:03

Total sieving time: 40hrs 13min 16secs.

Total relation processing time: 6hrs 6min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 19min 17sec.

Prototype def-par.txt line would be:
snfs,214,6,0,0,0,0,0,0,0,0,26000000,26000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.154206] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283136K/16703460K available (12300K kernel code, 2481K rwdata, 4272K rodata, 2436K init, 2720K bss, 420324K reserved, 0K cma-reserved)
[    0.188728] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.50 BogoMIPS (lpj=11977004)
[    0.186225] smpboot: Total of 16 processors activated (95816.03 BogoMIPS)

423305232378291605206003119433943218487367595007603213212333160755046286799063518578215410264175026945006137925869485228275487045231792176668066830127610246591578830830948171158586421019384123448830537890702589<210>

49958839280930675757295236768198004575936835119791<50>
32445460580281008391103399696512244810613373858598078422836826104191363639<74>
261148390473722784989370997757071655709175601873779673580830722680197194504103216153861<87>

Number: n
N=423305232378291605206003119433943218487367595007603213212333160755046286799063518578215410264175026945006137925869485228275487045231792176668066830127610246591578830830948171158586421019384123448830537890702589
  ( 210 digits)
SNFS difficulty: 216 digits.
Divisors found:

Tue Aug 29 02:22:32 2017  prp50 factor: 49958839280930675757295236768198004575936835119791
Tue Aug 29 02:22:32 2017  prp74 factor: 32445460580281008391103399696512244810613373858598078422836826104191363639
Tue Aug 29 02:22:32 2017  prp87 factor: 261148390473722784989370997757071655709175601873779673580830722680197194504103216153861
Tue Aug 29 02:22:32 2017  elapsed time 29:21:40 (Msieve 1.44 - dependency 2)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=3.827).
Factorization parameters were as follows:
#
# 13x10^214+23 14(213)7
#
n: 423305232378291605206003119433943218487367595007603213212333160755046286799063518578215410264175026945006137925869485228275487045231792176668066830127610246591578830830948171158586421019384123448830537890702589
m: 500000000000000000000000000000000000
deg: 6
c6: 208
c0: 575
skew: 1.18
# Murphy_E = 2.106e-12
type: snfs
lss: 1
rlim: 28000000
alim: 28000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 28000000/28000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 75600000)
Primes: RFBsize:1741430, AFBsize:1741714,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 14796373 hash collisions in 68342336 relations (54732080 unique)
Msieve: matrix is 4649078 x 4649303 (1313.4 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 28hrs 45min 10sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 18min 24sec.

Prototype def-par.txt line would be:
snfs,216,6,0,0,0,0,0,0,0,0,28000000,28000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

4399445881040121428270245829368327332629313580867297108770549355947683947662458654478407698218818740748099842257389204701794512150456878295414620287273962879341775008879100976314367407<184>

11025046917385484690740591812449377596083<41>

399041012161372304036282813610278830674292831063964207526918806155502633340077706433649893406630335588464034318564994962007718277875153050507029<144>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1170903856
Step 1 took 94503ms
Step 2 took 32948ms
********** Factor found in step 2: 11025046917385484690740591812449377596083
Found probable prime factor of 41 digits: 11025046917385484690740591812449377596083

399041012161372304036282813610278830674292831063964207526918806155502633340077706433649893406630335588464034318564994962007718277875153050507029<144>

25437880316222500215772033433616140080017773725969107931<56>
15686881422541007348569095166487851211882636046623771845306230915427879291560824671966159<89>

PID8967 2020-03-25 04:57:03,395 Debug:root: Root parameter dictionary:
N = 399041012161372304036282813610278830674292831063964207526918806155502633340077706433649893406630335588464034318564994962007718277875153050507029
name = 14447_217
tasks.I = 14
tasks.lim0 = 10000000
tasks.lim1 = 20000000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.qmin = 200000
tasks.threads = 6
tasks.wutimeout = 1800
tasks.filter.target_density = 145.0
tasks.filter.purge.keep = 175
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.bwc.interleaving = 0
tasks.linalg.bwc.threads = 6
tasks.linalg.characters.nchar = 50
tasks.polyselect.P = 300000
tasks.polyselect.admax = 20e4
tasks.polyselect.admin = 12600
tasks.polyselect.adrange = 840
tasks.polyselect.degree = 5
tasks.polyselect.incr = 60
tasks.polyselect.nq = 15625
tasks.polyselect.nrkeep = 100
tasks.polyselect.threads = 2
tasks.sieve.mfb0 = 58
tasks.sieve.mfb1 = 58
tasks.sieve.qrange = 5000
tasks.sieve.las.threads = 2
PID8967 2020-03-25 05:14:28,837 Info:Polynomial Selection (root optimized): Best polynomial is:
n: 399041012161372304036282813610278830674292831063964207526918806155502633340077706433649893406630335588464034318564994962007718277875153050507029
skew: 188149.727
c0: 128400303809681453376636299622140
c1: 7117204609405107358709496404
c2: 415911657718160032813
c3: -434852897527995167
c4: 313183120050
c5: 1713600
Y0: -4683970018716214934971816905
Y1: 1805124339896637333743
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=2.684e+13) = 5.989e-07
PID24375 2020-03-25 11:07:09,465 Info:Square Root: Factors: 15686881422541007348569095166487851211882636046623771845306230915427879291560824671966159 25437880316222500215772033433616140080017773725969107931
PID24375 2020-03-25 11:07:09,465 Debug:Square Root: Exit SqrtTask.run(sqrt)
PID24375 2020-03-25 11:07:09,465 Info:Square Root: Total cpu/real time for sqrt: 2432.26/438.525
PID24375 2020-03-25 11:07:09,466 Info:Polynomial Selection (size optimized): Aggregate statistics:
PID24375 2020-03-25 11:07:09,466 Info:Polynomial Selection (size optimized): potential collisions: 144726
PID24375 2020-03-25 11:07:09,466 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 147280/42.750/52.299/59.960/1.230
PID24375 2020-03-25 11:07:09,466 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 122295/41.630/46.183/52.530/0.957
PID24375 2020-03-25 11:07:09,466 Info:Polynomial Selection (size optimized): Total time: 63800.4
PID24375 2020-03-25 11:07:09,466 Info:Polynomial Selection (root optimized): Aggregate statistics:
PID24375 2020-03-25 11:07:09,466 Info:Polynomial Selection (root optimized): Total time: 1962.89
PID24375 2020-03-25 11:07:09,466 Info:Polynomial Selection (root optimized): Rootsieve time: 1960.6
PID24375 2020-03-25 11:07:09,467 Info:Generate Factor Base: Total cpu/real time for makefb: 14.45/2.8457
PID24375 2020-03-25 11:07:09,467 Info:Generate Free Relations: Total cpu/real time for freerel: 341.12/58.5879
PID24375 2020-03-25 11:07:09,467 Info:Lattice Sieving: Aggregate statistics:
PID24375 2020-03-25 11:07:09,467 Info:Lattice Sieving: Total number of relations: 60686890
PID24375 2020-03-25 11:07:09,467 Info:Lattice Sieving: Average J: 7777.85 for 417459 special-q, max bucket fill -bkmult 1.0,1s:1.094720
PID24375 2020-03-25 11:07:09,467 Info:Lattice Sieving: Total time: 454533s
PID24375 2020-03-25 11:07:09,467 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 94.89/141.844
PID24375 2020-03-25 11:07:09,468 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
PID24375 2020-03-25 11:07:09,468 Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 134.5s
PID24375 2020-03-25 11:07:09,468 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 994.46/587.421
PID24375 2020-03-25 11:07:09,468 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
PID24375 2020-03-25 11:07:09,468 Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 473.20000000000005s
PID24375 2020-03-25 11:07:09,468 Info:Filtering - Singleton removal: Total cpu/real time for purge: 755.61/441.097
PID24375 2020-03-25 11:07:09,468 Info:Filtering - Merging: Total cpu/real time for merge: 216.25/47.6863
PID24375 2020-03-25 11:07:09,468 Info:Filtering - Merging: Total cpu/real time for replay: 71.03/69.1757
PID24375 2020-03-25 11:07:09,469 Info:Linear Algebra: Total cpu/real time for bwc: 22213.2/3917.4
PID24375 2020-03-25 11:07:09,469 Warning:Linear Algebra: some stats could not be displayed for linalg (see log file for debug info)
PID24375 2020-03-25 11:07:09,469 Debug:Linear Algebra: KeyError with "Krylov: WCT time {krylov_wct[0]}"
PID24375 2020-03-25 11:07:09,469 Debug:Linear Algebra: KeyError with ", iteration CPU time {krylov_cpu[1]:g}"
PID24375 2020-03-25 11:07:09,469 Debug:Linear Algebra: KeyError with ", COMM {krylov_comm[0]}"
PID24375 2020-03-25 11:07:09,469 Debug:Linear Algebra: KeyError with ", cpu-wait {krylov_cpu_wait[0]}"
PID24375 2020-03-25 11:07:09,469 Debug:Linear Algebra: KeyError with ", comm-wait {krylov_comm_wait[0]}"
PID24375 2020-03-25 11:07:09,469 Debug:Linear Algebra: KeyError with " ({krylov_cpu[0]:d} iterations)"
PID24375 2020-03-25 11:07:09,469 Debug:Linear Algebra: KeyError with "Lingen CPU time {lingen_cpu[0]}"
PID24375 2020-03-25 11:07:09,470 Debug:Linear Algebra: KeyError with ", WCT time {lingen_wct[0]}"
PID24375 2020-03-25 11:07:09,470 Debug:Linear Algebra: (registered stats: {'gather_wct': [15.36], 'mksol_wct': [3902.04], 'mksol_cpu_wait': [0.0], 'mksol_comm_wait': [0.0], 'mksol_comm': [0.01], 'mksol_cpu': [39936, 0.09], 'gather_cpu': [5.39]})
PID24375 2020-03-25 11:07:09,470 Info:Linear Algebra: Aggregate statistics:
PID24375 2020-03-25 11:07:09,470 Info:Linear Algebra: Mksol: WCT time 3902.04, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (39936 iterations)
PID24375 2020-03-25 11:07:09,470 Info:Quadratic Characters: Total cpu/real time for characters: 85.67/27.6755
PID24375 2020-03-25 11:07:09,470 Info:Square Root: Total cpu/real time for sqrt: 2432.26/438.525
PID24375 2020-03-25 11:07:09,470 Info:HTTP server: Shutting down HTTP server
PID24375 2020-03-25 11:07:09,585 Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 933556/22150.4

CADO-NFS

190327692241082498833603940685939462614404042349442541265318990159194179930702914526046971122853784041179772736938318380713848400691942712949743603142097979599744670248131616376699081891320603246670316345321<207>

5395771537750537028841009780955661<34>
35273489789085641675945907719395240494511213038166447124096935788104095723485567412789710492566775892554048331291950374702194720568682672816216960134540016891157352195050061<173>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3102652566
Step 1 took 14680ms
Step 2 took 8814ms
********** Factor found in step 2: 5395771537750537028841009780955661
Found probable prime factor of 34 digits: 5395771537750537028841009780955661
Probable prime cofactor 35273489789085641675945907719395240494511213038166447124096935788104095723485567412789710492566775892554048331291950374702194720568682672816216960134540016891157352195050061 has 173 digits

GMP-ECM 6.3

3027369294913160348698160738127988923282156275182169631541079144189582240275522334642084560179956195968059731752234223380317131265268943051325486281385804352375928466018782106798607148453348916034978073682001<208>

661950661787836383369309993718052949290218523<45>

4573406251663316199497142485154147127047642529420698612817325658066196971517287483882509614581874237745768536604898038567567201516096296608216260746104333286083587<163>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4162164995
Step 1 took 101995ms
Step 2 took 34135ms
********** Factor found in step 2: 661950661787836383369309993718052949290218523
Found probable prime factor of 45 digits: 661950661787836383369309993718052949290218523

4573406251663316199497142485154147127047642529420698612817325658066196971517287483882509614581874237745768536604898038567567201516096296608216260746104333286083587<163>

6621143950896729657430180819055755824526150941159120782081924398021304091988081<79>
690727506542720666747848851905062387902165265946915201342520485896485741051560533427<84>

Number: 14447_219
N = 4573406251663316199497142485154147127047642529420698612817325658066196971517287483882509614581874237745768536604898038567567201516096296608216260746104333286083587 (163 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=6621143950896729657430180819055755824526150941159120782081924398021304091988081 (pp79)
r2=690727506542720666747848851905062387902165265946915201342520485896485741051560533427 (pp84)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 74.90 hours.
Factorization parameters were as follows:
n: 4573406251663316199497142485154147127047642529420698612817325658066196971517287483882509614581874237745768536604898038567567201516096296608216260746104333286083587
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 13
c0: 230
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 36707649
Relations: 8849462 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 35.15 hours.
Total relation processing time: 0.42 hours.
Pruned matrix : 7649662 x 7649887
Matrix solve time: 38.63 hours.
time per square root: 0.70 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 74.90 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

2467794943375568628447380029337716271353644656047003437403245225380201223992455209516948208841810664562909026792682467735047119445576145033816101398725629585524695243983601492188881116817765655221<196>

121535444242833332596205319434663136360917371986849161<54>
20305146031677823538641456009799259948280680491874877703723526740191285903937708033890420029156616565579035396940032218984889814665053672672461<143>

Number: 14447_220
N = 2467794943375568628447380029337716271353644656047003437403245225380201223992455209516948208841810664562909026792682467735047119445576145033816101398725629585524695243983601492188881116817765655221 (196 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=121535444242833332596205319434663136360917371986849161 (pp54)
r2=20305146031677823538641456009799259948280680491874877703723526740191285903937708033890420029156616565579035396940032218984889814665053672672461 (pp143)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 29.63 hours.
Factorization parameters were as follows:
n: 2467794943375568628447380029337716271353644656047003437403245225380201223992455209516948208841810664562909026792682467735047119445576145033816101398725629585524695243983601492188881116817765655221
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 13
c0: 23
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: 32000130
Relations: 7463912 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 14.42 hours.
Total relation processing time: 0.25 hours.
Pruned matrix : 6589863 x 6590090
Matrix solve time: 14.85 hours.
time per square root: 0.12 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: 29.63 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

878921539147121505861196504423442730555350708726830032803460916768850979973797044433173524188395302932480347510764425345951127252943764708315831<144>

126680796927136618074166317321109<33>
2966356340948254759026326405098874203<37>
2338923407572209544601680231826193203012090298225826624314446445538494284353<76>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=616480237
Step 1 took 6520ms
********** Factor found in step 1: 126680796927136618074166317321109
Found probable prime factor of 33 digits: 126680796927136618074166317321109
Composite cofactor 6938080281044123042666126712267049268063027899539373655859739317088157709649391756823359643235863769150458245659 has 112 digits

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2808310350
Step 1 took 10561ms
********** Factor found in step 1: 2966356340948254759026326405098874203
Found probable prime factor of 37 digits: 2966356340948254759026326405098874203
Probable prime cofactor 2338923407572209544601680231826193203012090298225826624314446445538494284353 has 76 digits

GMP-ECM 6.3

52208971096684643510890490783016681855384384844120795922127144601606695946447728605069143125788475484945136410079353373721595213017396678148899360472274781478827113746590591073290794306594090351<194>

1965014559366350774939432697235850091384635848299703555403014911704733008723503682184415126166938344774864369954070315258039641045322537376132725239716130762511241906536909877621115696536066011192327<199>

4421733764108435119815606414593262749<37>
444399112247899307027767629247371959226692673074623174388885331854843240719240334412475378469706938718901702259242032189222788165175491431715272940397092401575923<162>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4235419659
Step 1 took 26673ms
Step 2 took 9967ms
********** Factor found in step 2: 4421733764108435119815606414593262749
Found probable prime factor of 37 digits: 4421733764108435119815606414593262749

1506426977939164052852339379582026904666480266387156340703025144896289296013634831295958690479115313420220613367846929079178396154704946984328165098669424271<157>

594798639620316803059593058897027<33>
2532667154216719820931847135963349539871570290211899781857708539746454387942828188625464023320524620266543308725574073171973<124>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2838906744
Step 1 took 7784ms
Step 2 took 5585ms
********** Factor found in step 2: 594798639620316803059593058897027
Found probable prime factor of 33 digits: 594798639620316803059593058897027
Probable prime cofactor 2532667154216719820931847135963349539871570290211899781857708539746454387942828188625464023320524620266543308725574073171973 has 124 digits

GMP-ECM 6.3

726297108010104559856252258931803434730268084027984885501104763395583597166422114528455327709803809190162430903475938879269030249685458969774343578174833096484273759130321755506373425744276946846381863076921083241<213>

1312548348743581993778189361638503650650342385145608477909133978961154906935174445774421044338586443966744937479102270691884776563292774014273739352236954958523897801353410413816337436617019<190>

114619624350743801129651325505967502643254439<45>

11451340520250662239787779600615951625485655207696865433118063828608359390564940749941851184443547448577920181545764300471696750967631032795174221<146>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2356649806
Step 1 took 92893ms
Step 2 took 34725ms
********** Factor found in step 2: 114619624350743801129651325505967502643254439
Found probable prime factor of 45 digits: 114619624350743801129651325505967502643254439

11451340520250662239787779600615951625485655207696865433118063828608359390564940749941851184443547448577920181545764300471696750967631032795174221<146>

9059359433495443424138357365874349177799381601475685267699226581<64>
1264034240424469179738720819218832182234934701661285686088154939076486616646892441<82>

PID22860 2020-04-06 10:50:04,657 Debug:root: Root parameter dictionary:
N = 11451340520250662239787779600615951625485655207696865433118063828608359390564940749941851184443547448577920181545764300471696750967631032795174221
name = 14447_232
tasks.I = 14
tasks.lim0 = 13000000
tasks.lim1 = 20000000
tasks.lpb0 = 30
tasks.lpb1 = 31
tasks.qmin = 100000
tasks.threads = 6
tasks.wutimeout = 1800
tasks.filter.required_excess = 0.05
tasks.filter.target_density = 135.0
tasks.filter.purge.keep = 175
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.bwc.interleaving = 0
tasks.linalg.bwc.threads = 6
tasks.linalg.characters.nchar = 50
tasks.polyselect.P = 300000
tasks.polyselect.admax = 20e4
tasks.polyselect.admin = 12600
tasks.polyselect.adrange = 840
tasks.polyselect.degree = 5
tasks.polyselect.incr = 60
tasks.polyselect.nq = 15625
tasks.polyselect.nrkeep = 100
tasks.polyselect.threads = 2
tasks.sieve.lambda0 = 1.81
tasks.sieve.lambda1 = 1.79
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 58
tasks.sieve.ncurves0 = 19
tasks.sieve.ncurves1 = 22
tasks.sieve.qrange = 5000
tasks.sieve.rels_wanted = 85000000
tasks.sieve.las.threads = 2
tasks.sqrt.threads = 2
PID22860 2020-04-06 11:17:49,478 Info:Polynomial Selection (root optimized): Best polynomial is:
n: 11451340520250662239787779600615951625485655207696865433118063828608359390564940749941851184443547448577920181545764300471696750967631032795174221
skew: 314003.325
c0: -2694574341620084718893642640707160
c1: 28425227677733179219569850120
c2: 55825610115446143586871
c3: -357639839711574885
c4: -505683679984
c5: -940800
Y0: -9906441398069079131017807741
Y1: 370162902576415086671
# MurphyE (Bf=2.147e+09,Bg=1.074e+09,area=1.342e+13) = 2.588e-06
PID22860 2020-04-06 16:11:12,923 Info:Square Root: Factors: 9059359433495443424138357365874349177799381601475685267699226581 1264034240424469179738720819218832182234934701661285686088154939076486616646892441
PID22860 2020-04-06 16:11:12,923 Debug:Square Root: Exit SqrtTask.run(sqrt)
PID22860 2020-04-06 16:11:12,923 Info:Polynomial Selection (size optimized): Aggregate statistics:
PID22860 2020-04-06 16:11:12,923 Info:Polynomial Selection (size optimized): potential collisions: 144726
PID22860 2020-04-06 16:11:12,923 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 146743/43.190/52.830/63.310/1.207
PID22860 2020-04-06 16:11:12,923 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 121763/41.950/46.743/53.070/1.009
PID22860 2020-04-06 16:11:12,923 Info:Polynomial Selection (size optimized): Total time: 61567.5
PID22860 2020-04-06 16:11:12,923 Info:Polynomial Selection (root optimized): Aggregate statistics:
PID22860 2020-04-06 16:11:12,923 Info:Polynomial Selection (root optimized): Total time: 2128.42
PID22860 2020-04-06 16:11:12,924 Info:Polynomial Selection (root optimized): Rootsieve time: 2125.77
PID22860 2020-04-06 16:11:12,924 Info:Generate Factor Base: Total cpu/real time for makefb: 14.41/2.87333
PID22860 2020-04-06 16:11:12,924 Info:Generate Free Relations: Total cpu/real time for freerel: 1337.33/224.87
PID22860 2020-04-06 16:11:12,924 Info:Lattice Sieving: Aggregate statistics:
PID22860 2020-04-06 16:11:12,924 Info:Lattice Sieving: Total number of relations: 93669852
PID22860 2020-04-06 16:11:12,924 Info:Lattice Sieving: Average J: 7843.27 for 552333 special-q, max bucket fill -bkmult 1.0,1s:1.085640
PID22860 2020-04-06 16:11:12,924 Info:Lattice Sieving: Total time: 518528s
PID22860 2020-04-06 16:11:12,924 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 272.65/314.9
PID22860 2020-04-06 16:11:12,924 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
PID22860 2020-04-06 16:11:12,924 Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 314.40000000000003s
PID22860 2020-04-06 16:11:12,924 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1023.73/442.589
PID22860 2020-04-06 16:11:12,924 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
PID22860 2020-04-06 16:11:12,924 Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 350.6s
PID22860 2020-04-06 16:11:12,924 Info:Filtering - Singleton removal: Total cpu/real time for purge: 428.25/205.633
PID22860 2020-04-06 16:11:12,924 Info:Filtering - Merging: Total cpu/real time for merge: 148.99/34.6793
PID22860 2020-04-06 16:11:12,924 Info:Filtering - Merging: Total cpu/real time for replay: 54.19/55.4051
PID22860 2020-04-06 16:11:12,924 Info:Linear Algebra: Total cpu/real time for bwc: 41691.1/7287.13
PID22860 2020-04-06 16:11:12,924 Info:Linear Algebra: Aggregate statistics:
PID22860 2020-04-06 16:11:12,925 Info:Linear Algebra: Krylov: WCT time 4606.32, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (69120 iterations)
PID22860 2020-04-06 16:11:12,925 Info:Linear Algebra: Lingen CPU time 271.76, WCT time 51.07
PID22860 2020-04-06 16:11:12,925 Info:Linear Algebra: Mksol: WCT time 2514.78, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (33792 iterations)
PID22860 2020-04-06 16:11:12,925 Info:Quadratic Characters: Total cpu/real time for characters: 71.12/21.7737
PID22860 2020-04-06 16:11:12,925 Info:Square Root: Total cpu/real time for sqrt: 642.33/145.088
PID22860 2020-04-06 16:11:12,925 Info:HTTP server: Shutting down HTTP server
PID22860 2020-04-06 16:11:13,393 Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.17538e+06/19267.9

CADO-NFS

687812891490583042939285953501991703688105245939834336214997526879316544528364313538945038728841289501711396722452267863218080391244699139631144077308226001953753285522449<171>

2448478304918017478492514774866761203167397491296285871429051895352647483935312536663019733569285277109912942602264929447201233254072888746892214762443370628498370499077457635660864532112285489828057739329812651311132916505516771<229>

56303340809098069339517412465551629724543891715416364307315580890494598199037020526225411338894406339548582367609664736537019843892996182648130489251611660259313553694013558678603894887477333177894763343801416172364373<218>

32027331820666831959874011582743335416255248335402642277309119133559164361848864746130365081096923898155298046726737002612910275879691322677890836873027736442866033763766884004926303161849324786724637139471195528457672571996656093<230>

16265742594205349393664121402089266794119606979174947445536127619778457714286655836108726481850256620705209292691716076904164226225922760553610627973803566444708789387090582049674018611211507722108594604472178329571<215>

1014934981678786835824385852207884938359024474267800130020618740539560994457063041556393345441069152697548751604029501859174045918037126008804710291716681096317577720457585233536399908353630578049578507<202>

4036582760254030652599992370905978302525807354611899819810707354505787445375589913575136301246253302866664039194154177276336108080568088103321134738960111055316725890531821867319431560383897457340487635625458203<211>

315632822088874423305864455618435478164083<42>
12788856157416443961800500635255441064867075121161211029067338764127773634260078501087308427820413960988489326785572245328843988087271682585041674969409830388866353907641<170>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1564400386
Step 1 took 26808ms
Step 2 took 10324ms
********** Factor found in step 2: 315632822088874423305864455618435478164083
Found probable prime factor of 42 digits: 315632822088874423305864455618435478164083

24028819796790119349299559902923568020967917828829777992188785195289611971527696911557307811029967635028104477308476443438930754486457911673755168506719751874710036838029119232852202426171451174362358299277102198267337255576072470920507119<239>

133446126820242599041640237703088752899<39>

180063823277223506293582124623028447045277400813931444598502392191502441307611974847385493585393872287313827448115689568308323868311113298407716646871839791119764304989804411594871432190492321485807781<201>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=614666357
Step 1 took 35020ms
Step 2 took 12286ms
********** Factor found in step 2: 133446126820242599041640237703088752899
Found probable prime factor of 39 digits: 133446126820242599041640237703088752899

13422133090378164437689234376189276012950810435171884959683137599006517698152541086987811933711448697636469834898018229854556203059715275866346830861332484296553628619378386668344120141393760122352189117109630717824354227745871<227>

30579140101323432962116212194324783652499<41>

438931017873758610384857811604398887497526595204379142211887628662232734601905144222311468889515927943542075815861306590086965335254469363368893752629890463080409785894969326231279676629<186>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3568595572
Step 1 took 144247ms
Step 2 took 39884ms
********** Factor found in step 2: 30579140101323432962116212194324783652499
Found probable prime factor of 41 digits: 30579140101323432962116212194324783652499

152045348621730702257678875652502585832641695153412136248304872124347884556712337374690851819787308473113624905654924054557767235839611771475094970100455817628987369663988737005294296079217230078776668552585826425964343795306885624607627<237>

210045046606795505411514220517437851607580156923837169089078405348169340116244789092003222318721671538969782872390318444893057351270133106489174175300122855610214439359448458204163574042190965419494051716647100642216700968154939<228>

24724437557568893996025890056337326342567089805793258590586251327290713759677379496273767102594925016944870075393746721748934496459064812261022714639958501811576286707008331170632598145338796032674920515351<206>

856718505260853361362620219636286958440767<42>

28859464813405431918764051694492430212604201816927706333832945123186423309711902260204078570317550773248764802333219984315632837617112665299912178604676458179034153<164>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3564306920
Step 1 took 10077ms
Step 2 took 6022ms
********** Factor found in step 2: 856718505260853361362620219636286958440767
Found probable prime factor of 42 digits: 856718505260853361362620219636286958440767
Composite cofactor 28859464813405431918764051694492430212604201816927706333832945123186423309711902260204078570317550773248764802333219984315632837617112665299912178604676458179034153 has 164 digits

GMP-ECM 6.3

28859464813405431918764051694492430212604201816927706333832945123186423309711902260204078570317550773248764802333219984315632837617112665299912178604676458179034153<164>

7276419442889912014170564453940592982468476119<46>
3966162896451110865889344887853282585479429859100865997345166254036939639201514230028958176229706043024761739967852287<118>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=526495377
Step 1 took 40338ms
Step 2 took 21456ms
********** Factor found in step 2: 7276419442889912014170564453940592982468476119
Found probable prime factor of 46 digits: 7276419442889912014170564453940592982468476119
Probable prime cofactor

16222760217273796682408562519547357065084651415097481627805955575807190636122856707626928055857129537724531007499743625467122102010849411591497880714831039678485963909346255780205625350077321913302392931179<206>

27823893474971852914699462292231<32>

583051406226324616852502284133124849598835263496492319769065517946426030355637425784399800790958912137061672248957172827850974542464969351727673039045147826074231646659338109<174>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3601811268
Step 1 took 9828ms
Step 2 took 5928ms
********** Factor found in step 2: 27823893474971852914699462292231
Found probable prime factor of 32 digits: 27823893474971852914699462292231
Composite cofactor 583051406226324616852502284133124849598835263496492319769065517946426030355637425784399800790958912137061672248957172827850974542464969351727673039045147826074231646659338109 has 174 digits

GMP-ECM 6.3

433094821067240478482126138540993428197170662578450449162373271656307240954828604404549035988493303692151723712681045668430501099349806635001867552202632031991424107740579762285180910297125397716502947806863<207>

15336663830950850531908919329735388920572500319694532983396802508827961809192028195234500259423886481083461707400341630567122544333193369747512116422186233824814416579655254919295559196536326715299226001815961739651982300853929<227>

331377768370875763060077284290362268332337339518961738962813642766150544239858870727407173035472179685076823497344321804456311120936559987403004861287377046197723652485368527607904835110580169336711<198>

9689276724176609194181473434499418597049706004085202952153793505115211747574617000232973490592448237006556019146256434248598464026147676386564401350984241478771116310640751662376571650104547605154240930870888194553870518751281<226>

9300020166272503756651201867533454630147605079669948089855492161378317280643569281157948021291080727738003795446476280936058949311620780986209042276163124826097073879327384860455611200242704715303071025072860043363507681002419061361486021<238>

1098336963439280170333621015468247154250565567280897188481014769145422337810186704719091908701688374602555555718932681100185737634803742862403372911031612192377027519178715885329845584949109179320729736329318691839219397343<223>