8162585373979676828252540396468432450441445943694819257038147592870231550891221056138597367982675329<100>

856284975732961798770754067476869163<36>
9532557040362265696725320268206781344444145146303960880095399683<64>

Number: 54443_102
N=8162585373979676828252540396468432450441445943694819257038147592870231550891221056138597367982675329
  ( 100 digits)
SNFS difficulty: 105 digits.
Divisors found:
 r1=856284975732961798770754067476869163
 r2=9532557040362265696725320268206781344444145146303960880095399683
Version: 
Total time: 0.67 hours.
Scaled time: 0.52 units (timescale=0.774).
Factorization parameters were as follows:
n: 8162585373979676828252540396468432450441445943694819257038147592870231550891221056138597367982675329
m: 50000000000000000000000000
deg: 4
c4: 196
c0: -325
skew: 1.13
type: snfs
lss: 1
rlim: 390000
alim: 390000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 390000/390000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [195000, 255001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 33044 x 33269
Total sieving time: 0.67 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,105,4,0,0,0,0,0,0,0,0,390000,390000,25,25,44,44,2.2,2.2,20000
total time: 0.67 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

2260723121434117828143713675810233409179298217736488423452589864962066789740202246598297977352103<97>

3237808002986528818226382726266713<34>
698226429531598067180105615871883648384973706998991877568268031<63>

Sun Mar 22 16:28:56 2009  Msieve v. 1.39
Sun Mar 22 16:28:56 2009  random seeds: d3015b48 7ed2183f
Sun Mar 22 16:28:56 2009  factoring 2260723121434117828143713675810233409179298217736488423452589864962066789740202246598297977352103 (97 digits)
Sun Mar 22 16:28:57 2009  searching for 15-digit factors
Sun Mar 22 16:28:58 2009  commencing quadratic sieve (97-digit input)
Sun Mar 22 16:28:59 2009  using multiplier of 7
Sun Mar 22 16:28:59 2009  using 32kb Intel Core sieve core
Sun Mar 22 16:28:59 2009  sieve interval: 36 blocks of size 32768
Sun Mar 22 16:28:59 2009  processing polynomials in batches of 6
Sun Mar 22 16:28:59 2009  using a sieve bound of 2363903 (87059 primes)
Sun Mar 22 16:28:59 2009  using large prime bound of 354585450 (28 bits)
Sun Mar 22 16:28:59 2009  using double large prime bound of 2451870804143850 (43-52 bits)
Sun Mar 22 16:28:59 2009  using trial factoring cutoff of 52 bits
Sun Mar 22 16:28:59 2009  polynomial 'A' values have 13 factors
Sun Mar 22 22:04:35 2009  87192 relations (21295 full + 65897 combined from 1307645 partial), need 87155
Sun Mar 22 22:04:37 2009  begin with 1328940 relations
Sun Mar 22 22:04:38 2009  reduce to 227421 relations in 10 passes
Sun Mar 22 22:04:38 2009  attempting to read 227421 relations
Sun Mar 22 22:04:42 2009  recovered 227421 relations
Sun Mar 22 22:04:42 2009  recovered 213881 polynomials
Sun Mar 22 22:04:42 2009  attempting to build 87192 cycles
Sun Mar 22 22:04:43 2009  found 87192 cycles in 5 passes
Sun Mar 22 22:04:43 2009  distribution of cycle lengths:
Sun Mar 22 22:04:43 2009     length 1 : 21295
Sun Mar 22 22:04:43 2009     length 2 : 15274
Sun Mar 22 22:04:43 2009     length 3 : 14822
Sun Mar 22 22:04:43 2009     length 4 : 11786
Sun Mar 22 22:04:43 2009     length 5 : 8794
Sun Mar 22 22:04:43 2009     length 6 : 5923
Sun Mar 22 22:04:43 2009     length 7 : 3909
Sun Mar 22 22:04:43 2009     length 9+: 5389
Sun Mar 22 22:04:43 2009  largest cycle: 20 relations
Sun Mar 22 22:04:43 2009  matrix is 87059 x 87192 (23.4 MB) with weight 5778193 (66.27/col)
Sun Mar 22 22:04:43 2009  sparse part has weight 5778193 (66.27/col)
Sun Mar 22 22:04:45 2009  filtering completed in 3 passes
Sun Mar 22 22:04:45 2009  matrix is 83157 x 83220 (22.4 MB) with weight 5551015 (66.70/col)
Sun Mar 22 22:04:45 2009  sparse part has weight 5551015 (66.70/col)
Sun Mar 22 22:04:45 2009  saving the first 48 matrix rows for later
Sun Mar 22 22:04:45 2009  matrix is 83109 x 83220 (14.0 MB) with weight 4373772 (52.56/col)
Sun Mar 22 22:04:45 2009  sparse part has weight 3161875 (37.99/col)
Sun Mar 22 22:04:45 2009  matrix includes 64 packed rows
Sun Mar 22 22:04:45 2009  using block size 33288 for processor cache size 1024 kB
Sun Mar 22 22:04:46 2009  commencing Lanczos iteration
Sun Mar 22 22:04:46 2009  memory use: 13.5 MB
Sun Mar 22 22:05:32 2009  lanczos halted after 1315 iterations (dim = 83108)
Sun Mar 22 22:05:32 2009  recovered 17 nontrivial dependencies
Sun Mar 22 22:05:33 2009  prp34 factor: 3237808002986528818226382726266713
Sun Mar 22 22:05:33 2009  prp63 factor: 698226429531598067180105615871883648384973706998991877568268031
Sun Mar 22 22:05:33 2009  elapsed time 05:36:37

181481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481<114>

49270994758445485506745344522078417472249246961<47>
3683333011058680643342779360261730707241153817449805238013851687321<67>

Number: 54443_113
N=181481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481
  ( 114 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=49270994758445485506745344522078417472249246961 (pp47)
 r2=3683333011058680643342779360261730707241153817449805238013851687321 (pp67)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 2.44 hours.
Scaled time: 1.15 units (timescale=0.473).
Factorization parameters were as follows:
name: 54443_113
n: 181481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481
m: 50000000000000000000000
deg: 5
c5: 392
c0: -325
skew: 0.96
type: snfs
lss: 1
rlim: 600000
alim: 600000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [300000, 550001)
Primes: RFBsize:49098, AFBsize:49136, largePrimes:1303299 encountered
Relations: rels:1299767, finalFF:165600
Max relations in full relation-set: 28
Initial matrix: 98299 x 165600 with sparse part having weight 8125362.
Pruned matrix : 77886 x 78441 with weight 2834014.
Total sieving time: 2.32 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,116,5,0,0,0,0,0,0,0,0,600000,600000,25,25,45,45,2.2,2.2,50000
total time: 2.44 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

131328353341779614268153512653441448934258520553999210062837824880361345306679232117334355334117580833<102>

39440726016344745653943373742754827920013325257<47>
3329765108465687231084607438784113510264349945122473369<55>

Number: n
N=131328353341779614268153512653441448934258520553999210062837824880361345306679232117334355334117580833
  ( 102 digits)
SNFS difficulty: 121 digits.
Divisors found:

Sun Mar 22 20:10:43 2009  prp47 factor: 39440726016344745653943373742754827920013325257
Sun Mar 22 20:10:43 2009  prp55 factor: 3329765108465687231084607438784113510264349945122473369
Sun Mar 22 20:10:43 2009  elapsed time 00:04:08 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 1.08 hours.
Scaled time: 2.88 units (timescale=2.660).
Factorization parameters were as follows:
name: KA_5_4_116_3
n: 131328353341779614268153512653441448934258520553999210062837824880361345306679232117334355334117580833
skew: 3.05
deg: 5
c5: 49
c0: -13000
m: 1000000000000000000000000
type: snfs
rlim: 600000
alim: 600000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 60000
Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 540613)
Primes: RFBsize:49098, AFBsize:49661, largePrimes:3831306 encountered
Relations: rels:3248478, finalFF:82968
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 187218 hash collisions in 3421566 relations
Msieve: matrix is 111486 x 111726 (29.9 MB)

Total sieving time: 1.04 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,121,5,0,0,0,0,0,0,0,0,600000,600000,28,28,56,56,2.4,2.4,50000
total time: 1.08 hours.
 --------- CPU info (if available) ----------

296137510751480703017039742522270090064956369608944183048399620173500991977630933097560191476596819<99>

9666149732721867133816317637<28>
30636553223357949753688263264707804811627036708515492327059389308255287<71>

Number: 54443_120
N=296137510751480703017039742522270090064956369608944183048399620173500991977630933097560191476596819
  ( 99 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=9666149732721867133816317637 (pp28)
 r2=30636553223357949753688263264707804811627036708515492327059389308255287 (pp71)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 2.32 hours.
Scaled time: 1.03 units (timescale=0.446).
Factorization parameters were as follows:
name: 54443_120
n: 296137510751480703017039742522270090064956369608944183048399620173500991977630933097560191476596819
m: 1000000000000000000000000
deg: 5
c5: 49
c0: -13
skew: 0.77
type: snfs
lss: 1
rlim: 750000
alim: 750000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 750000/750000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [375000, 575001)
Primes: RFBsize:60238, AFBsize:59821, largePrimes:1299470 encountered
Relations: rels:1274107, finalFF:150534
Max relations in full relation-set: 28
Initial matrix: 120123 x 150534 with sparse part having weight 6474460.
Pruned matrix : 102811 x 103475 with weight 3409529.
Total sieving time: 2.15 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,121,5,0,0,0,0,0,0,0,0,750000,750000,25,25,46,46,2.2,2.2,50000
total time: 2.32 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

90859418606172063134774748261539956958066980337601966602849256308594895491730641401085698910816479<98>

155032799336605825909522832709907573331<39>
586065780886139499566709891878394247094033801102050578861509<60>

Sun Mar 22 22:14:39 2009  Msieve v. 1.39
Sun Mar 22 22:14:39 2009  random seeds: 13f8fae4 833acdc7
Sun Mar 22 22:14:39 2009  Msieve v. 1.39
Sun Mar 22 22:14:39 2009  factoring 90859418606172063134774748261539956958066980337601966602849256308594895491730641401085698910816479 (98 digits)
Sun Mar 22 22:14:40 2009  searching for 15-digit factors
Sun Mar 22 22:14:41 2009  commencing quadratic sieve (98-digit input)
Sun Mar 22 22:14:42 2009  using multiplier of 1
Sun Mar 22 22:14:42 2009  using 32kb Intel Core sieve core
Sun Mar 22 22:14:42 2009  sieve interval: 36 blocks of size 32768
Sun Mar 22 22:14:42 2009  processing polynomials in batches of 6
Sun Mar 22 22:14:42 2009  using a sieve bound of 2540407 (92941 primes)
Sun Mar 22 22:14:42 2009  using large prime bound of 381061050 (28 bits)
Sun Mar 22 22:14:42 2009  using double large prime bound of 2791194835856850 (43-52 bits)
Sun Mar 22 22:14:42 2009  using trial factoring cutoff of 52 bits
Sun Mar 22 22:14:42 2009  polynomial 'A' values have 13 factors
Mon Mar 23 05:36:50 2009  93057 relations (22480 full + 70577 combined from 1401100 partial), need 93037
Mon Mar 23 05:36:52 2009  begin with 1423580 relations
Mon Mar 23 05:36:53 2009  reduce to 244565 relations in 11 passes
Mon Mar 23 05:36:53 2009  attempting to read 244565 relations
Mon Mar 23 05:36:57 2009  recovered 244565 relations
Mon Mar 23 05:36:57 2009  recovered 232392 polynomials
Mon Mar 23 05:36:57 2009  attempting to build 93057 cycles
Mon Mar 23 05:36:58 2009  found 93057 cycles in 5 passes
Mon Mar 23 05:36:58 2009  distribution of cycle lengths:
Mon Mar 23 05:36:58 2009     length 1 : 22480
Mon Mar 23 05:36:58 2009     length 2 : 16000
Mon Mar 23 05:36:58 2009     length 3 : 15708
Mon Mar 23 05:36:58 2009     length 4 : 12614
Mon Mar 23 05:36:58 2009     length 5 : 9517
Mon Mar 23 05:36:58 2009     length 6 : 6655
Mon Mar 23 05:36:58 2009     length 7 : 4213
Mon Mar 23 05:36:58 2009     length 9+: 5870
Mon Mar 23 05:36:58 2009  largest cycle: 22 relations
Mon Mar 23 05:36:58 2009  matrix is 92941 x 93057 (25.3 MB) with weight 6271809 (67.40/col)
Mon Mar 23 05:36:58 2009  sparse part has weight 6271809 (67.40/col)
Mon Mar 23 05:37:00 2009  filtering completed in 3 passes
Mon Mar 23 05:37:00 2009  matrix is 88962 x 89026 (24.4 MB) with weight 6046007 (67.91/col)
Mon Mar 23 05:37:00 2009  sparse part has weight 6046007 (67.91/col)
Mon Mar 23 05:37:00 2009  saving the first 48 matrix rows for later
Mon Mar 23 05:37:00 2009  matrix is 88914 x 89026 (15.1 MB) with weight 4767098 (53.55/col)
Mon Mar 23 05:37:00 2009  sparse part has weight 3421741 (38.44/col)
Mon Mar 23 05:37:00 2009  matrix includes 64 packed rows
Mon Mar 23 05:37:00 2009  using block size 35610 for processor cache size 1024 kB
Mon Mar 23 05:37:01 2009  commencing Lanczos iteration
Mon Mar 23 05:37:01 2009  memory use: 14.6 MB
Mon Mar 23 05:37:56 2009  lanczos halted after 1407 iterations (dim = 88908)
Mon Mar 23 05:37:56 2009  recovered 14 nontrivial dependencies
Mon Mar 23 05:37:57 2009  prp39 factor: 155032799336605825909522832709907573331
Mon Mar 23 05:37:57 2009  prp60 factor: 586065780886139499566709891878394247094033801102050578861509
Mon Mar 23 05:37:57 2009  elapsed time 07:23:18

2812924426694466797269053611378786655841506454604882955955606250617376556226484570126893360140540172447027234147<112>

886472740761278554450087477716581<33>
1905222917172293197745705906814437<34>
1665508609598934955964817532355973948697940251<46>

Number: 54443_126
N=2812924426694466797269053611378786655841506454604882955955606250617376556226484570126893360140540172447027234147
  ( 112 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=886472740761278554450087477716581
 r2=1905222917172293197745705906814437
 r3=1665508609598934955964817532355973948697940251
Version: 
Total time: 3.21 hours.
Scaled time: 3.00 units (timescale=0.934).
Factorization parameters were as follows:
n: 2812924426694466797269053611378786655841506454604882955955606250617376556226484570126893360140540172447027234147
m: 20000000000000000000000000
deg: 5
c5: 245
c0: -208
skew: 0.97
type: snfs
lss: 1
rlim: 1000000
alim: 1000000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [500000, 900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 137383 x 137631
Total sieving time: 3.21 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,128,5,0,0,0,0,0,0,0,0,1000000,1000000,26,26,47,47,2.3,2.3,50000
total time: 3.21 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

54444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443<128>

6388426039807794712107618364273<31>
952116963596930070553655728861886818163819<42>
8950955467063706290214969828203183230927212987298134689<55>

Number: 54443_127
N=54444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443
  ( 128 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=6388426039807794712107618364273 (pp31)
 r2=952116963596930070553655728861886818163819 (pp42)
 r3=8950955467063706290214969828203183230927212987298134689 (pp55)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 5.21 hours.
Scaled time: 2.47 units (timescale=0.473).
Factorization parameters were as follows:
name: 54443_127
n: 54444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443
m: 20000000000000000000000000
deg: 5
c5: 1225
c0: -104
skew: 0.61
type: snfs
lss: 1
rlim: 1010000
alim: 1010000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1010000/1010000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [505000, 955001)
Primes: RFBsize:79251, AFBsize:79761, largePrimes:2639543 encountered
Relations: rels:2518399, finalFF:189964
Max relations in full relation-set: 28
Initial matrix: 159077 x 189964 with sparse part having weight 14598093.
Pruned matrix : 149777 x 150636 with weight 9259399.
Total sieving time: 4.74 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.32 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,129,5,0,0,0,0,0,0,0,0,1010000,1010000,26,26,47,47,2.3,2.3,50000
total time: 5.21 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

5444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443<130>

20839062423751865311924060808738807499975091<44>
261261487380497348335111454787673218382349317230937862709249245977725305196403288090873<87>

Number: 54443_129
N=5444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443
  ( 130 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=20839062423751865311924060808738807499975091 (pp44)
 r2=261261487380497348335111454787673218382349317230937862709249245977725305196403288090873 (pp87)
Version: Msieve-1.39
Total time: 3.19 hours.
Scaled time: 5.21 units (timescale=1.633).
Factorization parameters were as follows:
n: 5444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443
m: 100000000000000000000000000
deg: 5
c5: 49
c0: -130
skew: 1.22
type: snfs
lss: 1
rlim: 1100000
alim: 1100000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3

Factor base limits: 1100000/1100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [550000, 1000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 157349 x 157597
Total sieving time: 3.19 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,1100000,1100000,26,26,47,47,2.3,2.3,50000
total time: 3.19 hours.
 --------- CPU info (if available) ----------
[    0.371579] CPU0: Intel(R) Core(TM)2 Duo CPU     E4500  @ 2.20GHz stepping 0d
[    0.456481] CPU1: Intel(R) Core(TM)2 Duo CPU     E4500  @ 2.20GHz stepping 0d
[    0.004000] Memory: 2036264k/2070528k available (2576k kernel code, 32096k reserved, 1165k data, 424k init, 1152180k highmem)
[    0.004010] Calibrating delay loop (skipped), value calculated using timer frequency.. 4400.12 BogoMIPS (lpj=8800256)
[    0.004000] Calibrating delay using timer specific routine.. 4400.40 BogoMIPS (lpj=8800811)
[    0.460049] Total of 2 processors activated (8800.53 BogoMIPS).

GGNFS (sieving) + msieve v1.40beta2 (postprocessing) via factMsieve.pl

Core 2 Duo E4500 (2.2GHz), Ubuntu 8.10 32-bit

212447056242539964976585299444125773860080634496979566495278255783654323492698975094701527060768962959205395981802392153853291<126>

15365173779343757359334278547951668963<38>
13826531303417091869063585125914867774939884422495793079249247555637563832749104437904857<89>

Number: n
N=212447056242539964976585299444125773860080634496979566495278255783654323492698975094701527060768962959205395981802392153853291
  ( 126 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=15365173779343757359334278547951668963 (pp38)
 r2=13826531303417091869063585125914867774939884422495793079249247555637563832749104437904857 (pp89)
Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 1.87 hours.
Scaled time: 4.96 units (timescale=2.649).
Factorization parameters were as follows:
name: KA_5_4_129_3
n: 212447056242539964976585299444125773860080634496979566495278255783654323492698975094701527060768962959205395981802392153853291
skew: 0.77
deg: 5
c5: 49
c0: -13
m: 100000000000000000000000000
type: snfs
rlim: 850000
alim: 850000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 60000
Factor base limits: 850000/850000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [425000, 785001)
Primes: RFBsize:67617, AFBsize:67170, largePrimes:5700028 encountered
Relations: rels:5209170, finalFF:264753
Max relations in full relation-set: 28
Initial matrix: 134851 x 264753 with sparse part having weight 26750384.
Pruned matrix : 109263 x 110001 with weight 8945134.
Total sieving time: 1.74 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.03 hours.
Total square root time: 0.03 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,850000,850000,28,28,56,56,2.4,2.4,50000
total time: 1.87 hours.
 --------- CPU info (if available) ----------

1765180020247011731278134277411512103003119124883459439773398747293564455928072644004637247393738078041<103>

3053575784592854265729449920832931528209<40>
578069825269579937655670787941745063303826005806320438808706249<63>

Number: 54443_134
N=1765180020247011731278134277411512103003119124883459439773398747293564455928072644004637247393738078041
  ( 103 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=3053575784592854265729449920832931528209 (pp40)
 r2=578069825269579937655670787941745063303826005806320438808706249 (pp63)
Version: Msieve-1.39
Total time: 3.55 hours.
Scaled time: 6.18 units (timescale=1.739).
Factorization parameters were as follows:
n: 1765180020247011731278134277411512103003119124883459439773398747293564455928072644004637247393738078041
m: 1000000000000000000000000000
deg: 5
c5: 49
c0: -130
skew: 1.22
type: snfs
lss: 1
rlim: 1330000
alim: 1330000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1330000/1330000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [665000, 1340001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 188447 x 188695
Total sieving time: 3.55 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,136,5,0,0,0,0,0,0,0,0,1330000,1330000,26,26,48,48,2.3,2.3,75000
total time: 3.55 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

2171629116427034008262569406122406716652087870362523529087901011585934547193430581966660132012993748031953<106>

125847487970644875553830835870751<33>
17256038650001398282032180042544723209657376815989641751284647004305394703<74>

Number: n
N=2171629116427034008262569406122406716652087870362523529087901011585934547193430581966660132012993748031953
  ( 106 digits)
SNFS difficulty: 137 digits.
Divisors found:

Mon Mar 23 03:16:52 2009  prp33 factor: 125847487970644875553830835870751
Mon Mar 23 03:16:52 2009  prp74 factor: 17256038650001398282032180042544723209657376815989641751284647004305394703
Mon Mar 23 03:16:52 2009  elapsed time 00:11:15 (Msieve 1.39 - dependency 2)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 3.90 hours.
Scaled time: 10.37 units (timescale=2.660).
Factorization parameters were as follows:
name: KA_5_4_135_3
n: 2171629116427034008262569406122406716652087870362523529087901011585934547193430581966660132012993748031953
skew: 0.48
deg: 5
c5: 490
c0: -13
m: 1000000000000000000000000000
type: snfs
rlim: 900000
alim: 900000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 900000/900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 1353901)
Primes: RFBsize:71274, AFBsize:71505, largePrimes:6541331 encountered
Relations: rels:6007484, finalFF:107350
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 727967 hash collisions in 6710840 relations
Msieve: matrix is 176657 x 176893 (45.9 MB)

Total sieving time: 3.80 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,137,5,0,0,0,0,0,0,0,0,900000,900000,28,28,56,56,2.4,2.4,75000
total time: 3.90 hours.
 --------- CPU info (if available) ----------

110761958188467977456119371945228710724443759220876141066030782141391152874649874683779547951<93>

1205299344754500667641838377887933065643674837<46>
91895808846580213792838373174075953576019739123<47>

Sun Mar 22 13:51:54 2009  Msieve v. 1.39
Sun Mar 22 13:51:54 2009  random seeds: 1c254e34 3755ed4b
Sun Mar 22 13:51:54 2009  factoring 110761958188467977456119371945228710724443759220876141066030782141391152874649874683779547951 (93 digits)
Sun Mar 22 13:51:55 2009  searching for 15-digit factors
Sun Mar 22 13:51:57 2009  commencing quadratic sieve (93-digit input)
Sun Mar 22 13:51:57 2009  using multiplier of 1
Sun Mar 22 13:51:57 2009  using 32kb Intel Core sieve core
Sun Mar 22 13:51:57 2009  sieve interval: 36 blocks of size 32768
Sun Mar 22 13:51:57 2009  processing polynomials in batches of 6
Sun Mar 22 13:51:57 2009  using a sieve bound of 1854599 (69412 primes)
Sun Mar 22 13:51:57 2009  using large prime bound of 209569687 (27 bits)
Sun Mar 22 13:51:57 2009  using double large prime bound of 951461467997464 (42-50 bits)
Sun Mar 22 13:51:57 2009  using trial factoring cutoff of 50 bits
Sun Mar 22 13:51:57 2009  polynomial 'A' values have 12 factors
Sun Mar 22 16:03:41 2009  69822 relations (17555 full + 52267 combined from 897392 partial), need 69508
Sun Mar 22 16:03:42 2009  begin with 914947 relations
Sun Mar 22 16:03:43 2009  reduce to 177819 relations in 9 passes
Sun Mar 22 16:03:43 2009  attempting to read 177819 relations
Sun Mar 22 16:03:45 2009  recovered 177819 relations
Sun Mar 22 16:03:45 2009  recovered 158523 polynomials
Sun Mar 22 16:03:46 2009  attempting to build 69822 cycles
Sun Mar 22 16:03:46 2009  found 69822 cycles in 6 passes
Sun Mar 22 16:03:46 2009  distribution of cycle lengths:
Sun Mar 22 16:03:46 2009     length 1 : 17555
Sun Mar 22 16:03:46 2009     length 2 : 12647
Sun Mar 22 16:03:46 2009     length 3 : 12035
Sun Mar 22 16:03:46 2009     length 4 : 9404
Sun Mar 22 16:03:46 2009     length 5 : 7018
Sun Mar 22 16:03:46 2009     length 6 : 4605
Sun Mar 22 16:03:46 2009     length 7 : 2822
Sun Mar 22 16:03:46 2009     length 9+: 3736
Sun Mar 22 16:03:46 2009  largest cycle: 21 relations
Sun Mar 22 16:03:46 2009  matrix is 69412 x 69822 (17.5 MB) with weight 4299783 (61.58/col)
Sun Mar 22 16:03:46 2009  sparse part has weight 4299783 (61.58/col)
Sun Mar 22 16:03:47 2009  filtering completed in 3 passes
Sun Mar 22 16:03:47 2009  matrix is 65537 x 65601 (16.5 MB) with weight 4051076 (61.75/col)
Sun Mar 22 16:03:47 2009  sparse part has weight 4051076 (61.75/col)
Sun Mar 22 16:03:47 2009  saving the first 48 matrix rows for later
Sun Mar 22 16:03:47 2009  matrix is 65489 x 65601 (9.7 MB) with weight 3112910 (47.45/col)
Sun Mar 22 16:03:47 2009  sparse part has weight 2157274 (32.88/col)
Sun Mar 22 16:03:47 2009  matrix includes 64 packed rows
Sun Mar 22 16:03:47 2009  using block size 26240 for processor cache size 1024 kB
Sun Mar 22 16:03:48 2009  commencing Lanczos iteration
Sun Mar 22 16:03:48 2009  memory use: 9.8 MB
Sun Mar 22 16:04:14 2009  lanczos halted after 1037 iterations (dim = 65489)
Sun Mar 22 16:04:14 2009  recovered 18 nontrivial dependencies
Sun Mar 22 16:04:14 2009  prp46 factor: 1205299344754500667641838377887933065643674837
Sun Mar 22 16:04:14 2009  prp47 factor: 91895808846580213792838373174075953576019739123
Sun Mar 22 16:04:14 2009  elapsed time 02:12:20

1111652072716786806280199894478985340144711508394996871064426887611081159266241363692668499358204687809656342000550329708807459<127>

207071850488006696795938318543661<33>
22474022215667142175693151054126926046513<41>
238872971288671773181147192316633901673882791915267263<54>

Number: 54443_140
N=1111652072716786806280199894478985340144711508394996871064426887611081159266241363692668499358204687809656342000550329708807459
  ( 127 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=207071850488006696795938318543661 (pp33)
 r2=22474022215667142175693151054126926046513 (pp41)
 r3=238872971288671773181147192316633901673882791915267263 (pp54)
Version: Msieve-1.39
Total time: 4.00 hours.
Scaled time: 6.94 units (timescale=1.735).
Factorization parameters were as follows:
n: 1111652072716786806280199894478985340144711508394996871064426887611081159266241363692668499358204687809656342000550329708807459
m: 10000000000000000000000000000
deg: 5
c5: 49
c0: -13
skew: 0.77
type: snfs
lss: 1
rlim: 1610000
alim: 1610000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1610000/1610000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [805000, 1505001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 220560 x 220808
Total sieving time: 4.00 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,141,5,0,0,0,0,0,0,0,0,1610000,1610000,26,26,48,48,2.3,2.3,100000
total time: 4.00 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

5444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443<142>

29895894509244796665860680741717481942098627486442047<53>
182113448479049276921181897697664273046509544887453509951853505999576736492064061755845669<90>

Number: 54443_141
N=5444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443
  ( 142 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=29895894509244796665860680741717481942098627486442047 (pp53)
 r2=182113448479049276921181897697664273046509544887453509951853505999576736492064061755845669 (pp90)
Version: GGNFS-0.77.1-20060513-nocona
Total time: 14.53 hours.
Scaled time: 37.10 units (timescale=2.554).
Factorization parameters were as follows:
name: 54443_141
n: 5444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443
m: 20000000000000000000000000000
deg: 5
c5: 245
c0: -208
skew: 0.97
type: snfs
lss: 1
rlim: 1750000
alim: 1750000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1750000/1750000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [875000, 2175001)
Primes: RFBsize:131608, AFBsize:131782, largePrimes:4300365 encountered
Relations: rels:4799866, finalFF:622644
Max relations in full relation-set: 28
Initial matrix: 263456 x 622644 with sparse part having weight 71808746.
Pruned matrix : 194268 x 195649 with weight 27959680.
Total sieving time: 14.09 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.29 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,143,5,0,0,0,0,0,0,0,0,1750000,1750000,26,26,48,48,2.3,2.3,100000
total time: 14.53 hours.
 --------- CPU info (if available) ----------

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

9204318753697758502580249941200569767639330400560493094684823652953383377250635701260550464876367513699991278670232202628459<124>

7140402236701543140617963582986208678971<40>
1289047654260669015173951513328700605459640910666217630944435952587966282067732957329<85>

Number: 54443_145
N=9204318753697758502580249941200569767639330400560493094684823652953383377250635701260550464876367513699991278670232202628459
  ( 124 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=7140402236701543140617963582986208678971 (pp40)
 r2=1289047654260669015173951513328700605459640910666217630944435952587966282067732957329 (pp85)
Version: Msieve-1.39
Total time: 5.93 hours.
Scaled time: 10.31 units (timescale=1.739).
Factorization parameters were as follows:
n: 9204318753697758502580249941200569767639330400560493094684823652953383377250635701260550464876367513699991278670232202628459
m: 100000000000000000000000000000
deg: 5
c5: 49
c0: -13
skew: 0.77
type: snfs
lss: 1
rlim: 1950000
alim: 1950000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1950000/1950000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [975000, 1975001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 285559 x 285807
Total sieving time: 5.93 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1950000,1950000,26,26,49,49,2.3,2.3,100000
total time: 5.93 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

7890499194847020933977455716586151368760064412238325281803542673107890499194847020933977455716586151368760064412238325281803542673107890499194847<145>

73830498158509907022394810208166019095040149681165283254334567363<65>
106873167480281185337382613792493068629199332855411315792688634423552805727583669<81>

Number: n
N=7890499194847020933977455716586151368760064412238325281803542673107890499194847020933977455716586151368760064412238325281803542673107890499194847
  ( 145 digits)
SNFS difficulty: 147 digits.
Divisors found:

Mon Mar 23 13:37:42 2009  prp65 factor: 73830498158509907022394810208166019095040149681165283254334567363
Mon Mar 23 13:37:42 2009  prp81 factor: 106873167480281185337382613792493068629199332855411315792688634423552805727583669
Mon Mar 23 13:37:42 2009  elapsed time 00:16:47 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 9.42 hours.
Scaled time: 25.05 units (timescale=2.660).
Factorization parameters were as follows:
name: KA_5_4_145_3
n: 7890499194847020933977455716586151368760064412238325281803542673107890499194847020933977455716586151368760064412238325281803542673107890499194847
skew: 0.48
deg: 5
c5: 490
c0: -13
m: 100000000000000000000000000000
type: snfs
rlim: 1500000
alim: 1500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 2849741)
Primes: RFBsize:114155, AFBsize:114387, largePrimes:9440774 encountered
Relations: rels:8881276, finalFF:237685
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1299095 hash collisions in 10127488 relations
Msieve: matrix is 296878 x 297126 (77.5 MB)

Total sieving time: 9.21 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,147,5,0,0,0,0,0,0,0,0,1500000,1500000,28,28,56,56,2.4,2.4,100000
total time: 9.42 hours.
 --------- CPU info (if available) ----------

54444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443<149>

2400513117999809722405970619454289674628549<43>
22680336148218774284672959283888357977629962447175151940084971677874951003250148874102472003345354598125407<107>

Number: 54443_148
N=54444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443
  ( 149 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=2400513117999809722405970619454289674628549 (pp43)
 r2=22680336148218774284672959283888357977629962447175151940084971677874951003250148874102472003345354598125407 (pp107)
Version: GGNFS-0.77.1-20060513-nocona
Total time: 24.37 hours.
Scaled time: 62.76 units (timescale=2.575).
Factorization parameters were as follows:
name: 54443_148
n: 54444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443
m: 500000000000000000000000000000
deg: 5
c5: 392
c0: -325
skew: 0.96
type: snfs
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 2050001)
Primes: RFBsize:169511, AFBsize:169201, largePrimes:6871087 encountered
Relations: rels:6772219, finalFF:417043
Max relations in full relation-set: 28
Initial matrix: 338777 x 417043 with sparse part having weight 43198668.
Pruned matrix : 312178 x 313935 with weight 29224094.
Total sieving time: 23.29 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.86 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 24.37 hours.
 --------- CPU info (if available) ----------

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

122291125424760880247517015235560595578717771861593788079807861507241681725560766919603504057041448257822793649727924561424595069<129>

2146907550860162740600213632708655391877338081071796699<55>
56961523739466424569149913442650025242540002908402280547451425617956522631<74>

Number: 54443_152
N=122291125424760880247517015235560595578717771861593788079807861507241681725560766919603504057041448257822793649727924561424595069
  ( 129 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=2146907550860162740600213632708655391877338081071796699 (pp55)
 r2=56961523739466424569149913442650025242540002908402280547451425617956522631 (pp74)
Version: Msieve-1.39
Total time: 16.42 hours.
Scaled time: 28.56 units (timescale=1.739).
Factorization parameters were as follows:
n: 122291125424760880247517015235560595578717771861593788079807861507241681725560766919603504057041448257822793649727924561424595069
m: 2000000000000000000000000000000
deg: 5
c5: 1225
c0: -104
skew: 0.61
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 2300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 534392 x 534640
Total sieving time: 16.42 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,154,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 16.42 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

2887065395382455093675160127696693984232235070487908532313326863483666488669758862609112195172261282961921826638822593725623723271<130>

2210524998163295381088357432294324394655053936779965711<55>
1306054171647590876958690600009006792110053639951158724187114943389454925961<76>

SNFS difficulty: 158 digits.
Divisors found:
 r1=2210524998163295381088357432294324394655053936779965711 (pp55)
 r2=1306054171647590876958690600009006792110053639951158724187114943389454925961 (pp76)
Version: Msieve-1.40
Total time: 10.84 hours.
Scaled time: 30.78 units (timescale=2.839).
Factorization parameters were as follows:
n: 2887065395382455093675160127696693984232235070487908532313326863483666488669758862609112195172261282961921826638822593725623723271
m: 20000000000000000000000000000000
deg: 5
c5: 245
c0: -208
skew: 0.97
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [1600000, 2900001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 585235 x 585482
Total sieving time: 10.84 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,158,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,52,52,2.4,2.4,100000
total time: 10.84 hours.

Msieve-1.40

Phenom II X4 940/openSUSE/x86_64

134459099221246402322816172819154065510441731566376235533720791826155841719807351755353346138400212316515559376872179170380656802454630653643146010023<150>

3500992370764356766315734545757211678902724333<46>
38405996066735363768333922495487422849558454494069750646053519783449675603954475673158889673318407032931<104>

Number: 54443_157
N=134459099221246402322816172819154065510441731566376235533720791826155841719807351755353346138400212316515559376872179170380656802454630653643146010023
  ( 150 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=3500992370764356766315734545757211678902724333 (pp46)
 r2=38405996066735363768333922495487422849558454494069750646053519783449675603954475673158889673318407032931 (pp104)
Version: Msieve-1.39
Total time: 27.90 hours.
Scaled time: 71.73 units (timescale=2.571).
Factorization parameters were as follows:
n: 134459099221246402322816172819154065510441731566376235533720791826155841719807351755353346138400212316515559376872179170380656802454630653643146010023
m: 20000000000000000000000000000000
deg: 5
c5: 1225
c0: -104
skew: 0.61
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1600000, 3100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 570062 x 570310
Total sieving time: 27.90 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,159,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,50,50,2.4,2.4,100000
total time: 27.90 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

)

9480263854419939406567288559368136851958668930098235963980024426324338005691026094222629647173171716995999099228114115163173665542864393110907<142>

1933753263829273755790956506822876419039373431<46>
4902519898348793797289993772044717042707344704118234633885033167780703243173321590976815042695197<97>

Number: n
N=9480263854419939406567288559368136851958668930098235963980024426324338005691026094222629647173171716995999099228114115163173665542864393110907
  ( 142 digits)
SNFS difficulty: 161 digits.
Divisors found:

Mon Mar 30 12:48:36 2009  prp46 factor: 1933753263829273755790956506822876419039373431
Mon Mar 30 12:48:36 2009  prp97 factor: 4902519898348793797289993772044717042707344704118234633885033167780703243173321590976815042695197
Mon Mar 30 12:48:36 2009  elapsed time 01:32:15 (Msieve 1.39 - dependency 3)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 28.69 hours.
Scaled time: 76.31 units (timescale=2.660).
Factorization parameters were as follows:
name: KA_5_4_157_3
n: 9480263854419939406567288559368136851958668930098235963980024426324338005691026094222629647173171716995999099228114115163173665542864393110907
skew: 1.92
deg: 5
c5: 49
c0: -1300
m: 100000000000000000000000000000000
type: snfs
rlim: 4500000
alim: 4500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2250000, 4049990)
Primes: RFBsize:315948, AFBsize:315681, largePrimes:15059121 encountered
Relations: rels:14210576, finalFF:560178
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1302492 hash collisions in 15864309 relations
Msieve: matrix is 683824 x 684072 (181.8 MB)

Total sieving time: 28.34 hours.
Total relation processing time: 0.35 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,4500000,4500000,28,28,56,56,2.4,2.4,100000
total time: 28.69 hours.
 --------- CPU info (if available) ----------

2242334803975982192480032498566510482103094412231856620093830865052614479504284020936379683383882499612360603741618767829153247177786284125194788918747<151>

601351575708202483414719598577935244714095030835679564985254607<63>
3728825024421394506143678851589601389969611659833649468122314998192459819730376930996021<88>

Number: n
N=2242334803975982192480032498566510482103094412231856620093830865052614479504284020936379683383882499612360603741618767829153247177786284125194788918747
  ( 151 digits)
SNFS difficulty: 161 digits.
Divisors found:

Wed Mar 25 17:13:26 2009  prp63 factor: 601351575708202483414719598577935244714095030835679564985254607
Wed Mar 25 17:13:26 2009  prp88 factor: 3728825024421394506143678851589601389969611659833649468122314998192459819730376930996021
Wed Mar 25 17:13:26 2009  elapsed time 00:56:02 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 25.50 hours.
Scaled time: 67.54 units (timescale=2.649).
Factorization parameters were as follows:
name: KA_5_4_158_3
n: 2242334803975982192480032498566510482103094412231856620093830865052614479504284020936379683383882499612360603741618767829153247177786284125194788918747
skew: 1.22
deg: 5
c5: 49
c0: -130
m: 100000000000000000000000000000000
type: snfs
rlim: 4000000
alim: 4000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 3700049)
Primes: RFBsize:283146, AFBsize:283762, largePrimes:14472488 encountered
Relations: rels:13551879, finalFF:611318
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1159398 hash collisions in 14440877 relations
Msieve: matrix is 697476 x 697724 (187.1 MB)

Total sieving time: 25.15 hours.
Total relation processing time: 0.35 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,4000000,4000000,28,28,56,56,2.4,2.4,100000
total time: 25.50 hours.
 --------- CPU info (if available) ----------

60493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827<161>

89340062336934973963648121180445133883587<41>
677118703279485685836228095722187177748680567602212027120674408179765141637070828398608720395665830122030286741076835521<120>

Number: 54443_161
N=60493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827
  ( 161 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=89340062336934973963648121180445133883587 (pp41)
 r2=677118703279485685836228095722187177748680567602212027120674408179765141637070828398608720395665830122030286741076835521 (pp120)
Version: Msieve-1.39
Total time: 36.44 hours.
Scaled time: 93.68 units (timescale=2.571).
Factorization parameters were as follows:
n: 60493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827
m: 200000000000000000000000000000000
deg: 5
c5: 245
c0: -208
skew: 0.97
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1900000, 3800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 705300 x 705548
Total sieving time: 36.44 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,163,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 36.44 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

2925599730656530118218153085930991963465403815206131233254026841784401287021285104721191904053437108456642251087246239876936515599<130>

1838559489041997202537670965985653716498713<43>
1591245618155628933095288983361565267658381139712189781371408687414923895947384324120423<88>

Number: 54443_163
N=2925599730656530118218153085930991963465403815206131233254026841784401287021285104721191904053437108456642251087246239876936515599
  ( 130 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=1838559489041997202537670965985653716498713
 r2=1591245618155628933095288983361565267658381139712189781371408687414923895947384324120423
Version: 
Total time: 55.29 hours.
Scaled time: 141.76 units (timescale=2.564).
Factorization parameters were as follows:
name: 54443_163
n: 2925599730656530118218153085930991963465403815206131233254026841784401287021285104721191904053437108456642251087246239876936515599
m: 500000000000000000000000000000000
deg: 5
c5: 392
c0: -325
skew: 0.96
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2050000, 4550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 784249 x 784497
Total sieving time: 55.29 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 55.29 hours.
 --------- CPU info (if available) ----------

251064950625835833703382280840771182234664703586415536986577735970020000544583139843679582377840521338633043270402953869839020673640559582673460585332920269<156>

14324711689563372779335680404766103636224125956636359995327793344470127538869<77>
17526701832941984245416388922140767102049667569465043187924398853225270451740601<80>

Number: n
N=251064950625835833703382280840771182234664703586415536986577735970020000544583139843679582377840521338633043270402953869839020673640559582673460585332920269
  ( 156 digits)
SNFS difficulty: 166 digits.
Divisors found:

Wed Mar 25 22:46:33 2009  prp77 factor: 14324711689563372779335680404766103636224125956636359995327793344470127538869
Wed Mar 25 22:46:33 2009  prp80 factor: 17526701832941984245416388922140767102049667569465043187924398853225270451740601
Wed Mar 25 22:46:33 2009  elapsed time 01:28:09 (Msieve 1.39 - dependency 4)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 30.41 hours.
Scaled time: 80.57 units (timescale=2.649).
Factorization parameters were as follows:
name: KA_5_4_164_3
n: 251064950625835833703382280840771182234664703586415536986577735970020000544583139843679582377840521338633043270402953869839020673640559582673460585332920269
skew: 0.77
deg: 5
c5: 49
c0: -13
m: 1000000000000000000000000000000000
type: snfs
rlim: 5000000
alim: 5000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 4400587)
Primes: RFBsize:348513, AFBsize:348526, largePrimes:15470826 encountered
Relations: rels:14467287, finalFF:713923
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1171408 hash collisions in 15321624 relations
Msieve: matrix is 838936 x 839183 (226.7 MB)

Total sieving time: 30.00 hours.
Total relation processing time: 0.41 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,5000000,5000000,28,28,56,56,2.4,2.4,100000
total time: 30.41 hours.
 --------- CPU info (if available) ----------

16048658819276471709608645570215131881391734700037144584809613962743075168193670826338164701532811134323462171331921176012737955182584357769083055276325841449<158>

228606663332069098898658208677726772027<39>
70202060540836190435027353842202723932903383646206976045490228370900250805488572773763887061548507188806030834957521387<119>

Number: n
N=16048658819276471709608645570215131881391734700037144584809613962743075168193670826338164701532811134323462171331921176012737955182584357769083055276325841449
  ( 158 digits)
SNFS difficulty: 167 digits.
Divisors found:

Thu Mar 26 15:24:14 2009  prp39 factor: 228606663332069098898658208677726772027
Thu Mar 26 15:24:14 2009  prp119 factor: 70202060540836190435027353842202723932903383646206976045490228370900250805488572773763887061548507188806030834957521387
Thu Mar 26 15:24:14 2009  elapsed time 01:17:51 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 46.22 hours.
Scaled time: 122.94 units (timescale=2.660).
Factorization parameters were as follows:
name: KA_5_4_165_3
n: 16048658819276471709608645570215131881391734700037144584809613962743075168193670826338164701532811134323462171331921176012737955182584357769083055276325841449
skew: 0.48
deg: 5
c5: 490
c0: -13
m: 1000000000000000000000000000000000
type: snfs
rlim: 5000000
alim: 5000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 5400709)
Primes: RFBsize:348513, AFBsize:347801, largePrimes:16583950 encountered
Relations: rels:15857481, finalFF:721908
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1654776 hash collisions in 17166877 relations
Msieve: matrix is 879243 x 879491 (235.5 MB)

Total sieving time: 45.64 hours.
Total relation processing time: 0.58 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,5000000,5000000,28,28,56,56,2.4,2.4,100000
total time: 46.22 hours.
 --------- CPU info (if available) ----------

18395988022213213815357754832451835276664855589756973035375079343242696253657629170109553860881160095980243731307550988163613967<128>

154366586188854324678105391045950947662796027385267558778367<60>
119170789977225348190653974594475835745955100338192207667847653826801<69>

SNFS difficulty: 169 digits.
Divisors found:
 r1=154366586188854324678105391045950947662796027385267558778367 (pp60)
 r2=119170789977225348190653974594475835745955100338192207667847653826801 (pp69)
Version: Msieve-1.42
Total time: 28.81 hours.
Scaled time: 82.02 units (timescale=2.847).
Factorization parameters were as follows:
n: 18395988022213213815357754832451835276664855589756973035375079343242696253657629170109553860881160095980243731307550988163613967
m: 2000000000000000000000000000000000
deg: 5
c5: 1225
c0: -104
skew: 0.61
type: snfs
lss: 1
rlim: 4700000
alim: 4700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2350000, 5450001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 914075 x 914323
Total sieving time: 27.23 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 1.28 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,169.000,5,0,0,0,0,0,0,0,0,4700000,4700000,27,27,52,52,2.4,2.4,100000
total time: 28.81 hours.

Msieve-1.42

Phenom II X4 940/openSUSE/x86_64

97185533986368021681783378062396574919435537754075193262983788450856674826360508129284134177950827777893612589454003301080373<125>

4436645900924865896891648618121442838385371837<46>
21905181562068919290990994467028446773934788898829226150669261394310130185658329<80>

Number: 54443_168
N=97185533986368021681783378062396574919435537754075193262983788450856674826360508129284134177950827777893612589454003301080373
  ( 125 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=4436645900924865896891648618121442838385371837
 r2=21905181562068919290990994467028446773934788898829226150669261394310130185658329
Version: 
Total time: 46.73 hours.
Scaled time: 111.36 units (timescale=2.383).
Factorization parameters were as follows:
n: 97185533986368021681783378062396574919435537754075193262983788450856674826360508129284134177950827777893612589454003301080373
m: 10000000000000000000000000000000000
deg: 5
c5: 49
c0: -1300
skew: 1.93
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [3100000, 6600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 11417062
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1034547 x 1034795
Total sieving time: 42.04 hours.
Total relation processing time: 2.01 hours.
Matrix solve time: 2.54 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,6200000,6200000,27,27,52,52,2.4,2.4,100000
total time: 46.73 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673789)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672379)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

4451906375248151182830922835284818657113863806841579312202067690879499966017767766632869279766525410733659197053565189224887023373656337781407513933537157980577<160>

2692212159653272355339435109096075286883559301953867086090461<61>
1653623901550726337767533156447700441142090917636728902297814526133953699616039119659459695609726357<100>

Number: 6
N=4451906375248151182830922835284818657113863806841579312202067690879499966017767766632869279766525410733659197053565189224887023373656337781407513933537157980577
  ( 160 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=2692212159653272355339435109096075286883559301953867086090461 (pp61)
 r2=1653623901550726337767533156447700441142090917636728902297814526133953699616039119659459695609726357 (pp100)
Version: Msieve v. 1.41
Total time: 79.84 hours.
Scaled time: 156.25 units (timescale=1.957).
Factorization parameters were as follows:
n: 4451906375248151182830922835284818657113863806841579312202067690879499966017767766632869279766525410733659197053565189224887023373656337781407513933537157980577
m: 10000000000000000000000000000000000
deg: 5
c5: 49
c0: -13
skew: 0.77
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2550000, 4950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 756235 x 756483
Total sieving time: 77.49 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 2.08 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,171.000,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 79.84 hours.
 --------- CPU info (if available) ----------

Msieve v. 1.41

2753776031372013948635106289364131072662456971893493638515983296613504991247765510797688167649415599095205552018322574834948930139816807270325443012775191642979<160>

186135721123313863044793461731766127889<39>

14794452213434372946420738528169896579615815849117777730825714913852145946553387018597884831622546553977005766909682325811<122>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2313565796
Step 1 took 52141ms
Step 2 took 17706ms
********** Factor found in step 2: 186135721123313863044793461731766127889
Found probable prime factor of 39 digits: 186135721123313863044793461731766127889
Composite cofactor 14794452213434372946420738528169896579615815849117777730825714913852145946553387018597884831622546553977005766909682325811 has 122 digits

GMP-ECM 6.2.1

14794452213434372946420738528169896579615815849117777730825714913852145946553387018597884831622546553977005766909682325811<122>

78118283689308132829443292403611291227803<41>
189385269551937878693181478095539023949471844401877418236197269245497479472145737<81>

Number: 54443_171
N=14794452213434372946420738528169896579615815849117777730825714913852145946553387018597884831622546553977005766909682325811
  ( 122 digits)
Divisors found:
 r1=78118283689308132829443292403611291227803 (pp41)
 r2=189385269551937878693181478095539023949471844401877418236197269245497479472145737 (pp81)
Version: Msieve v. 1.42
Total time: 94.54 hours.
Scaled time: 84.14 units (timescale=0.890).
Factorization parameters were as follows:
name: 54443_171
n: 14794452213434372946420738528169896579615815849117777730825714913852145946553387018597884831622546553977005766909682325811
skew: 100801.55
# norm 2.51e+016
c5: 15540
c4: -3524203548
c3: -420650336721402
c2: 65567099398070687185
c1: 4319439315112807051384690
c0: -690078891322799688013927425
# alpha -5.18
Y1: 25679226421157
Y0: -248731969491594434266556
# Murphy_E 2.31e-010
# M 413839379239698306525414216049804652849438324257727581695754799129246235176693693402226716314260713159272150579379954349
type: gnfs
rlim: 4700000
alim: 4700000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [2350000, 4750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : submatrix x not
Polynomial selection time: 6.85 hours.
Total sieving time: 82.76 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 4.47 hours.
Time per square root: 0.24 hours.
Prototype def-par.txt line would be:
gnfs,121,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4700000,4700000,27,27,53,53,2.5,2.5,100000
total time: 94.54 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

54444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443<173>

90457133252859086370797452249079159362984754582263<50>
601881161679680073414733529094278946019249854432828112732618999568591744333440032921249761043945003829360819175126160932861<123>

Number: 54443_172
N=54444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443
  ( 173 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=90457133252859086370797452249079159362984754582263
 r2=601881161679680073414733529094278946019249854432828112732618999568591744333440032921249761043945003829360819175126160932861
Version: 
Total time: 134.18 hours.
Scaled time: 342.69 units (timescale=2.554).
Factorization parameters were as follows:
name: 54443_172
n: 54444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443
m: 20000000000000000000000000000000000
deg: 5
c5: 1225
c0: -104
skew: 0.61
type: snfs
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [2500000, 8700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1086216 x 1086464
Total sieving time: 134.18 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,174,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000
total time: 134.18 hours.
 --------- CPU info (if available) ----------

16097616625286773989141614209552270447912184476271226247060357147221920088026918944388171940302871814378871535727156615283471911325092195296570055759361401976728384597<167>

8882123088203937974836147245959825795179<40>
25008811194426393066224418212340816159790487<44>
72468912647224278145870884780664430251433172767015851046362696916896949296693934489<83>

Number: 54443_174
N=16097616625286773989141614209552270447912184476271226247060357147221920088026918944388171940302871814378871535727156615283471911325092195296570055759361401976728384597
  ( 167 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=8882123088203937974836147245959825795179
 r2=25008811194426393066224418212340816159790487
 r3=72468912647224278145870884780664430251433172767015851046362696916896949296693934489
Version: 
Total time: 153.53 hours.
Scaled time: 308.59 units (timescale=2.010).
Factorization parameters were as follows:
n: 16097616625286773989141614209552270447912184476271226247060357147221920088026918944388171940302871814378871535727156615283471911325092195296570055759361401976728384597
m: 10000000000000000000000000000000000
deg: 5
c5: 490000
c0: -13
skew: 0.12
type: snfs
lss: 1
rlim: 5900000
alim: 5900000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5Factor base limits: 5900000/5900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [2950000, 7850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1049544 x 1049792
Total sieving time: 153.53 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,5900000,5900000,28,28,52,52,2.5,2.5,100000
total time: 153.53 hours.
 --------- CPU info (if available) ----------

487594204027034268218444879444778518463929002852908112914819297047660685574264230209499426933528230506554162110314893506266469047743149199903541801287498617<156>

27066248804008641544606841528293493402719<41>

18014842306290305841343948352665176259230174057476774090026985803578114946319140170218425898657231894552554411714343<116>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3087936941
Step 1 took 119880ms
********** Factor found in step 1: 27066248804008641544606841528293493402719
Found probable prime factor of 41 digits: 27066248804008641544606841528293493402719
Composite cofactor 18014842306290305841343948352665176259230174057476774090026985803578114946319140170218425898657231894552554411714343 has 116 digits

GMP-ECM 6.3 [config GMP 5.0.1] [ECM]

PPC-G5, 2.5 GHz, Mac OS X

18014842306290305841343948352665176259230174057476774090026985803578114946319140170218425898657231894552554411714343<116>

54114498695281524924015331937406598054078863417193<50>
332902322679394924407644541381840787537941782451147317349263937551<66>

Number: 116h
N=18014842306290305841343948352665176259230174057476774090026985803578114946319140170218425898657231894552554411714343
  ( 116 digits)
Divisors found:
 r1=54114498695281524924015331937406598054078863417193 (pp50)
 r2=332902322679394924407644541381840787537941782451147317349263937551 (pp66)
Version: Msieve-1.40
Total time: 25.99 hours.
Scaled time: 47.80 units (timescale=1.839).
Factorization parameters were as follows:
name: 116h
n: 18014842306290305841343948352665176259230174057476774090026985803578114946319140170218425898657231894552554411714343
skew: 16944.61
# norm 1.05e+015
c5: 12420
c4: 3933223368
c3: -32555768207135
c2: -824512433811094610
c1: 2247935715642190511514
c0: 34066997753218893020976121
# alpha -4.74
Y1: 2938027947143
Y0: -17072496810111238888284
# Murphy_E 5.58e-010
# M 16876595896708217929914488503775107670467442153766679883680535238349317947498384451275118157859353693007665654635653
type: gnfs
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
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: 53/53
Sieved algebraic special-q in [1700000, 2900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 505412 x 505638
Polynomial selection time: 3.17 hours.
Total sieving time: 22.16 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.40 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
gnfs,115,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3400000,3400000,27,27,53,53,2.5,2.5,100000
total time: 25.99 hours.
 --------- CPU info (if available) ----------

8923031054642295889465922785529574170837896695449361629843732486092315551315957121702618518257497461541257465743591209521316838559815896068593256733743000869791975279<166>

798099288586048191729098127596728418606258530695450291980768363<63>
11180352096855987622693933128833397885891541457844628249333368774708430781854897073355651922116326341133<104>

N=8923031054642295889465922785529574170837896695449361629843732486092315551315957121702618518257497461541257465743591209521316838559815896068593256733743000869791975279
  ( 166 digits)
SNFS difficulty: 177 digits.
Divisors found:
 r1=798099288586048191729098127596728418606258530695450291980768363 (pp63)
 r2=11180352096855987622693933128833397885891541457844628249333368774708430781854897073355651922116326341133 (pp104)
Version: Msieve-1.40
Total time: 100.31 hours.
Scaled time: 193.39 units (timescale=1.928).
Factorization parameters were as follows:
n: 8923031054642295889465922785529574170837896695449361629843732486092315551315957121702618518257497461541257465743591209521316838559815896068593256733743000869791975279
m: 100000000000000000000000000000000000
deg: 5
c5: 490
c0: -13
skew: 0.48
type: snfs
lss: 1
rlim: 6400000
alim: 6400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 360000Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3200000, 8240001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1361744 x 1361972
Total sieving time: 97.88 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 2.08 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
snfs,177.000,5,0,0,0,0,0,0,0,0,6400000,6400000,28,28,53,53,2.5,2.5,100000
total time: 100.31 hours.
 --------- CPU info (if available) ----------

307721978442794218830653641975193273425756167690094919472397514710704124687256061030693334919978893893788567019117977289359921175858380910701788180247237803<156>

6934814863535887752914854304290743348101359153<46>
44373495831998969668855752522300949380663625681795710057086661659071563202056571676407190177176487737065457051<110>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1253217828
Step 1 took 120242ms
Step 2 took 56549ms
********** Factor found in step 2: 6934814863535887752914854304290743348101359153
Found probable prime factor of 46 digits: 6934814863535887752914854304290743348101359153
Probable prime cofactor 44373495831998969668855752522300949380663625681795710057086661659071563202056571676407190177176487737065457051 has 110 digits

GMP-ECM 6.3 [config GMP 5.0.1] [ECM]

PPC G5, 2.5 GHz, Mac OS X

163254459523723086369682031518162183704273477829333457988450525960599330435921242136980678328582203900095200802703297446566154793834582981<138>

112143087889625085402858042957313891<36>
1455769255118099597689758966334147257317626494590672958769552652319952764010067995193079064122708087991<103>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2835086273
Step 1 took 7239ms
Step 2 took 2589ms
********** Factor found in step 2: 112143087889625085402858042957313891
Found probable prime factor of 36 digits: 112143087889625085402858042957313891
Probable prime cofactor 1455769255118099597689758966334147257317626494590672958769552652319952764010067995193079064122708087991 has 103 digits

GMP-ECM 6.3

508826583592938733125649013499480789200415368639667705088265835929387331256490134994807892004153686396677050882658359293873312564901349948078920041536863966770508826583592938733125649<183>

108429772521892036019932427297734099076545943820349377756029<60>
4692683307900570769148796885419169826114104309020076727251929872520649206197793144002184678282254116463836283410737873023781<124>

Number: 54443_184
N=508826583592938733125649013499480789200415368639667705088265835929387331256490134994807892004153686396677050882658359293873312564901349948078920041536863966770508826583592938733125649
  ( 183 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=108429772521892036019932427297734099076545943820349377756029
 r2=4692683307900570769148796885419169826114104309020076727251929872520649206197793144002184678282254116463836283410737873023781
Version: 
Total time: 345.65 hours.
Scaled time: 693.38 units (timescale=2.006).
Factorization parameters were as follows:
n: 508826583592938733125649013499480789200415368639667705088265835929387331256490134994807892004153686396677050882658359293873312564901349948078920041536863966770508826583592938733125649
m: 10000000000000000000000000000000000000
deg: 5
c5: 49
c0: -130
skew: 1.22
type: snfs
lss: 1
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4500000, 7800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1552391 x 1552639
Total sieving time: 345.65 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,54,54,2.5,2.5,100000
total time: 345.65 hours.
 --------- CPU info (if available) ----------

114977521188500856951096029294648834720776054313888182649754689876603365416228821424371027440260393313199071965982522458248097548157595861709<141>

267494773374340123627423628496792771179<39>
429830907490659273189442651277389877719665092003490358170182683239657341990252739739007274589268252071<102>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2325840067
Step 1 took 21923ms
Step 2 took 8763ms
********** Factor found in step 2: 267494773374340123627423628496792771179
Found probable prime factor of 39 digits: 267494773374340123627423628496792771179

78213455960674459723359204261534326224333967916565995755873036891181737400089853837049213383026088577602201855313779132926229301611349385635009872840037200135007<161>

5676435131136840860036413555141418683596247<43>
13778622349025304344837343095596811266457503956435243805951032925133071228306100865695994998149802744821863848369137081<119>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2986472021
Step 1 took 12236ms
Step 2 took 5593ms
********** Factor found in step 2: 5676435131136840860036413555141418683596247
Found probable prime factor of 43 digits: 5676435131136840860036413555141418683596247
Probable prime cofactor

1103339177773700421153078342293295614211449713400949324432358950083658740628175955752007664153240971088362802908722923858994433<127>

151384963804792601957076838327835443<36>
27247030603187965412926575051567284862283<41>
267489733874812578723107950256592587386798727120657<51>

---------------------------------
P36=151384963804792601957076838327835443
B1=1000000
B2=900000000
Method=ECM

Found by the ECM "workers" at http://factorization.ath.cx
---------------------------------
Tue Apr 07 03:16:09 2009  Msieve v. 1.40
Tue Apr 07 03:16:09 2009  random seeds: 28de34d8 8bda56ae
Tue Apr 07 03:16:09 2009  factoring 7288300964925622921639267800655225120410607285033175107865679394472800601695388603369479931 (91 digits)
Tue Apr 07 03:16:10 2009  searching for 15-digit factors
Tue Apr 07 03:16:11 2009  commencing quadratic sieve (91-digit input)
Tue Apr 07 03:16:11 2009  using multiplier of 3
Tue Apr 07 03:16:11 2009  using 32kb Intel Core sieve core
Tue Apr 07 03:16:11 2009  sieve interval: 36 blocks of size 32768
Tue Apr 07 03:16:11 2009  processing polynomials in batches of 6
Tue Apr 07 03:16:11 2009  using a sieve bound of 1713449 (64706 primes)
Tue Apr 07 03:16:11 2009  using large prime bound of 164491104 (27 bits)
Tue Apr 07 03:16:11 2009  using double large prime bound of 615256603721856 (42-50 bits)
Tue Apr 07 03:16:11 2009  using trial factoring cutoff of 50 bits
Tue Apr 07 03:16:11 2009  polynomial 'A' values have 12 factors
Tue Apr 07 04:37:43 2009  64819 relations (16665 full + 48154 combined from 762683 partial), need 64802
Tue Apr 07 04:37:43 2009  begin with 779348 relations
Tue Apr 07 04:37:44 2009  reduce to 162308 relations in 11 passes
Tue Apr 07 04:37:44 2009  attempting to read 162308 relations
Tue Apr 07 04:37:46 2009  recovered 162308 relations
Tue Apr 07 04:37:46 2009  recovered 142998 polynomials
Tue Apr 07 04:37:46 2009  attempting to build 64819 cycles
Tue Apr 07 04:37:46 2009  found 64819 cycles in 5 passes
Tue Apr 07 04:37:46 2009  distribution of cycle lengths:
Tue Apr 07 04:37:46 2009     length 1 : 16665
Tue Apr 07 04:37:46 2009     length 2 : 11914
Tue Apr 07 04:37:46 2009     length 3 : 11364
Tue Apr 07 04:37:46 2009     length 4 : 8678
Tue Apr 07 04:37:46 2009     length 5 : 6457
Tue Apr 07 04:37:46 2009     length 6 : 4061
Tue Apr 07 04:37:46 2009     length 7 : 2502
Tue Apr 07 04:37:46 2009     length 9+: 3178
Tue Apr 07 04:37:46 2009  largest cycle: 22 relations
Tue Apr 07 04:37:46 2009  matrix is 64706 x 64819 (16.1 MB) with weight 3957333 (61.05/col)
Tue Apr 07 04:37:46 2009  sparse part has weight 3957333 (61.05/col)
Tue Apr 07 04:37:47 2009  filtering completed in 3 passes
Tue Apr 07 04:37:47 2009  matrix is 60951 x 61015 (15.3 MB) with weight 3763741 (61.69/col)
Tue Apr 07 04:37:47 2009  sparse part has weight 3763741 (61.69/col)
Tue Apr 07 04:37:47 2009  saving the first 48 matrix rows for later
Tue Apr 07 04:37:47 2009  matrix is 60903 x 61015 (9.4 MB) with weight 2929803 (48.02/col)
Tue Apr 07 04:37:47 2009  sparse part has weight 2100869 (34.43/col)
Tue Apr 07 04:37:47 2009  matrix includes 64 packed rows
Tue Apr 07 04:37:47 2009  using block size 24406 for processor cache size 2048 kB
Tue Apr 07 04:37:47 2009  commencing Lanczos iteration
Tue Apr 07 04:37:47 2009  memory use: 9.3 MB
Tue Apr 07 04:38:04 2009  lanczos halted after 965 iterations (dim = 60897)
Tue Apr 07 04:38:04 2009  recovered 14 nontrivial dependencies
Tue Apr 07 04:38:04 2009  prp41 factor: 27247030603187965412926575051567284862283
Tue Apr 07 04:38:04 2009  prp51 factor: 267489733874812578723107950256592587386798727120657
Tue Apr 07 04:38:04 2009  elapsed time 01:21:55

GMP-ECM, msieve v1.40beta2

Core 2 Duo E4500 (2.2Ghz), 32-bit Windows XP

21108886934855509327806993235276976208366414947770596979581578092406453520780485734383926545963904700917117165760631773383649542703918107577275550143479396102826161470121873209984037<182>

966157422602240579788369723170882823<36>
21848289358478460125282623991576962209898076298757188957665387411425249077939694669760565333554676692893660893296855554839388015837993980780424819<146>

N=21108886934855509327806993235276976208366414947770596979581578092406453520780485734383926545963904700917117165760631773383649542703918107577275550143479396102826161470121873209984037
  ( 182 digits)
SNFS difficulty: 192 digits.
Divisors found:
 r1=966157422602240579788369723170882823 (pp36)
 r2=21848289358478460125282623991576962209898076298757188957665387411425249077939694669760565333554676692893660893296855554839388015837993980780424819 (pp146)
Version: Msieve v. 1.48
Total time:
Scaled time: 64.91 units (timescale=1.729).
Factorization parameters were as follows:
n: 21108886934855509327806993235276976208366414947770596979581578092406453520780485734383926545963904700917117165760631773383649542703918107577275550143479396102826161470121873209984037
m: 100000000000000000000000000000000000000
deg: 5
c5: 490
c0: -13
skew: 0.48
type: snfs
lss: 1
rlim: 11400000
alim: 11400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 11400000/11400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5700000, 22100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2616104 x 2616329
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,192.000,5,0,0,0,0,0,0,0,0,11400000,11400000,28,28,55,55,2.5,2.5,100000
total time:

378183127572491469061351840366943725678521373235007808154901482445406099177129362479080683523771190028711482368005633652871147685072671660134568129616936812396911026210848689461407<180>

37495483430313128916207622605188863912284750009216221<53>
10086098190342313985368618247397912089035025790173282590538380908684537763224448644847807125769817359083283956449665477073802667<128>

378183127572491469061351840366943725678521373235007808154901482445406099177129362479080683523771190028711482368005633652871147685072671660134568129616936812396911026210848689461407=37495483430313128916207622605188863912284750009216221*10086098190342313985368618247397912089035025790173282590538380908684537763224448644847807125769817359083283956449665477073802667

cado polynomial
n: 378183127572491469061351840366943725678521373235007808154901482445406099177129362479080683523771190028711482368005633652871147685072671660134568129616936812396911026210848689461407
skew: 0.80
type: snfs
c0: -13
c6: 49
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 49*x^6-13
# g(x) = -x+100000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 11800000
tasks.lim1 = 11800000
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: 10086098190342313985368618247397912089035025790173282590538380908684537763224448644847807125769817359083283956449665477073802667 37495483430313128916207622605188863912284750009216221
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: 7.89/2.90452
Info:Generate Free Relations: Total cpu/real time for freerel: 161.74/40.9395
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28445455
Info:Lattice Sieving: Average J: 1894.96 for 3646242 special-q, max bucket fill -bkmult 1.0,1s:1.176080
Info:Lattice Sieving: Total time: 841366s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 54.05/142.235
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 141.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 476.22/476.711
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 416.40000000000003s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 397.14/470.48
Info:Filtering - Merging: Merged matrix has 2484475 rows and total weight 424574562 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 355.08/102.054
Info:Filtering - Merging: Total cpu/real time for replay: 96.23/85.5381
Info:Linear Algebra: Total cpu/real time for bwc: 109189/27943.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 17815.6, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (77824 iterations)
Info:Linear Algebra: Lingen CPU time 510.38, WCT time 147.42
Info:Linear Algebra: Mksol: WCT time 9730.54, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (38912 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 87.43/36.4783
Info:Square Root: Total cpu/real time for sqrt: 2648.79/763.884
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.6792e+06/100015
Info:root: Cleaning up computation data in /tmp/cado.mznffu2e
10086098190342313985368618247397912089035025790173282590538380908684537763224448644847807125769817359083283956449665477073802667 37495483430313128916207622605188863912284750009216221

 cado-nfs-3.0.0

6 x Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

6749651015557538931615040637354344383604638460601292333819148264793575530377001937482518192501775819613252321764714692722314554690146139924966789313440398380515457009645126551239219<181>

254844245411290082180295394371877916993<39>

26485397010493047698964538476098244237524954700539576316546334407805422839794386263624553803105684698588361292127562903206957374467834977581683<143>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=99698369
Step 1 took 31433ms
Step 2 took 11268ms
********** Factor found in step 2: 254844245411290082180295394371877916993
Found probable prime factor of 39 digits: 254844245411290082180295394371877916993

26485397010493047698964538476098244237524954700539576316546334407805422839794386263624553803105684698588361292127562903206957374467834977581683<143>

417010749325187098982206039239902884079872372588242130760005781<63>
63512504301992466568061360361483242300795515963873630683287328094374710834855143<80>

26485397010493047698964538476098244237524954700539576316546334407805422839794386263624553803105684698588361292127562903206957374467834977581683=417010749325187098982206039239902884079872372588242130760005781*63512504301992466568061360361483242300795515963873630683287328094374710834855143 

Info:Square Root: Factors: 63512504301992466568061360361483242300795515963873630683287328094374710834855143 417010749325187098982206039239902884079872372588242130760005781
Info:Square Root: Total cpu/real time for sqrt: 38843/5955.44
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 77228.6
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 78204/40.990/51.323/56.660/0.944
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 78204/40.830/45.893/52.000/1.202
Info:Polynomial Selection (size optimized): Total time: 38856
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1448.33
Info:Polynomial Selection (root optimized): Rootsieve time: 1446.83
Info:Generate Factor Base: Total cpu/real time for makefb: 51.91/43.0333
Info:Generate Free Relations: Total cpu/real time for freerel: 1276.62/1114.81
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 46408720
Info:Lattice Sieving: Average J: 3941.77 for 790884 special-q, max bucket fill -bkmult 1.0,1s:1.155380
Info:Lattice Sieving: Total time: 405688s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 99.06/66.931
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 66.19999999999999s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1333.34/714.623
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 580.0s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 1570.87/835.668
Info:Filtering - Merging: Total cpu/real time for merge: 4331.16/3986.05
Info:Filtering - Merging: Total cpu/real time for replay: 448.93/416.37
Info:Linear Algebra: Total cpu/real time for bwc: 275124/36477
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 13286.9, iteration CPU time 0.25, COMM 0.01, cpu-wait 0.03, comm-wait 0.0 (101000 iterations)
Info:Linear Algebra: Lingen CPU time 476.11, WCT time 111.4
Info:Linear Algebra: Mksol: WCT time 23057.5, iteration CPU time 0.39, COMM 0.01, cpu-wait 0.06, comm-wait 0.0 (51000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 142.64/35.3571
Info:Square Root: Total cpu/real time for sqrt: 38843/5955.44
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.83123e+06/429697
63512504301992466568061360361483242300795515963873630683287328094374710834855143 417010749325187098982206039239902884079872372588242130760005781

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)

6042588190848487484076927637273240728504536959206855591635149326840198585045381971323306242257474894447067940343376711946050746332919760388101227833<148>

2685007378605796833966670349720038022304339733753001996393<58>
2250492210560006300307835717188276638576846509396753853521843436169896753259001404736640081<91>

6042588190848487484076927637273240728504536959206855591635149326840198585045381971323306242257474894447067940343376711946050746332919760388101227833=2685007378605796833966670349720038022304339733753001996393*2250492210560006300307835717188276638576846509396753853521843436169896753259001404736640081

cado polynomial
n: 6042588190848487484076927637273240728504536959206855591635149326840198585045381971323306242257474894447067940343376711946050746332919760388101227833
skew: 1.18
type: snfs
c0: -130
c6: 49
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 49*x^6-130
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 14900000
tasks.lim1 = 14900000
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: 2685007378605796833966670349720038022304339733753001996393 2250492210560006300307835717188276638576846509396753853521843436169896753259001404736640081
Info:Square Root: Total cpu/real time for sqrt: 2451.43/315.483
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1310.9/1169.43
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 928.9s
Info:Filtering - Merging: Merged matrix has 3019629 rows and total weight 513626371 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1180.66/248.553
Info:Filtering - Merging: Total cpu/real time for replay: 132.21/103.052
Info:Filtering - Singleton removal: Total cpu/real time for purge: 1013.17/1069.59
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 31363511
Info:Lattice Sieving: Average J: 1894.58 for 5715938 special-q, max bucket fill -bkmult 1.0,1s:1.179270
Info:Lattice Sieving: Total time: 2.73757e+06s
Info:Quadratic Characters: Total cpu/real time for characters: 93.08/53.1712
Info:Generate Factor Base: Total cpu/real time for makefb: 12.09/1.79044
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 306.46/267.114
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 265.3s
Info:Square Root: Total cpu/real time for sqrt: 2451.43/315.483
Info:Generate Free Relations: Total cpu/real time for freerel: 215.89/20.3263
Info:Linear Algebra: Total cpu time for bwc: 224350
Warning:Linear Algebra: some stats could not be displayed for linalg (see log file for debug info)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 5.2157e+06/372.928
2685007378605796833966670349720038022304339733753001996393 2250492210560006300307835717188276638576846509396753853521843436169896753259001404736640081

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)

176529131558277395295848214656542631892093690847442977004772986008117440783537228870033700974644012582018395859574802601<120>

382862862267837988347685597468140406206315789449064437<54>
461076664664287937538598147921472880754573683407889104041697315173<66>

Number: 54443_199
N=176529131558277395295848214656542631892093690847442977004772986008117440783537228870033700974644012582018395859574802601
  ( 120 digits)
Divisors found:
 r1=382862862267837988347685597468140406206315789449064437 (pp54)
 r2=461076664664287937538598147921472880754573683407889104041697315173 (pp66)
Version: Msieve-1.39
Total time: 34.80 hours.
Scaled time: 60.38 units (timescale=1.735).
Factorization parameters were as follows:
name: 54443_199
n: 176529131558277395295848214656542631892093690847442977004772986008117440783537228870033700974644012582018395859574802601
skew: 59649.00
# norm 2.13e+016
c5: 49140
c4: -7417611066
c3: -888921018349013
c2: 25278019887156247159
c1: 886039038126969350535769
c0: -11713735379912792142821591589
# alpha -5.96
Y1: 3967998397231
Y0: -81484852731824154537860
# Murphy_E 3.16e-010
# M 128248013014603672007157954630463537972435946001750055529136290548333258835222509238735059376381621761948624658563372549
type: gnfs
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 60000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [2250000, 4170001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 637939 x 638187
Total sieving time: 34.80 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:
gnfs,119,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.4,2.4,60000
total time: 34.80 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

6521214876430170973629795975506447087623525303483562813640214398579627182547999416240549260454046453967578060046941134951956735596385921076476147634817111849545166830098282080893182095251<187>

16885072801436798025053714792284152811<38>

386211830598400652330834727690396253452809791557834421029432199799336591607078419514476297147647901159437420167532499132414738460920245242389722530041<150>

Step 1 took 108920ms
Step 2 took 51948ms
********** Factor found in step 2: 16885072801436798025053714792284152811
Found probable prime factor of 38 digits: 16885072801436798025053714792284152811
Composite cofactor 386211830598400652330834727690396253452809791557834421029432199799336591607078419514476297147647901159437420167532499132414738460920245242389722530041 has 150 digits

GMP-ECM 6.3

386211830598400652330834727690396253452809791557834421029432199799336591607078419514476297147647901159437420167532499132414738460920245242389722530041<150>

50268782486489675051046757852504852639634217817229<50>
7682935839995719253617012267900601468241448045609101621692772344103800994515625546270456785039417629<100>

Number: 54443_201
N = 386211830598400652330834727690396253452809791557834421029432199799336591607078419514476297147647901159437420167532499132414738460920245242389722530041 (150 digits)
SNFS difficulty: 203 digits.
Divisors found:
r1=50268782486489675051046757852504852639634217817229 (pp50)
r2=7682935839995719253617012267900601468241448045609101621692772344103800994515625546270456785039417629 (pp100)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 233.49 hours.
Factorization parameters were as follows:
n: 386211830598400652330834727690396253452809791557834421029432199799336591607078419514476297147647901159437420167532499132414738460920245242389722530041
m: 10000000000000000000000000000000000000000
deg: 5
c5: 490
c0: -13
skew: 0.48
# Murphy_E = 1.055e-11
type: snfs
lss: 1
rlim: 16700000
alim: 16700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16700000/16700000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 39219542
Relations: 6277034 relations
Pruned matrix : 3712327 x 3712552
Total sieving time: 205.85 hours.
Total relation processing time: 0.45 hours.
Matrix solve time: 26.37 hours.
time per square root: 0.82 hours.
Prototype def-par.txt line would be: snfs,203,5,0,0,0,0,0,0,0,0,16700000,16700000,29,29,56,56,2.6,2.6,100000
total time: 233.49 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
processors: 4, speed: 3.39GHz
Windows-7-6.1.7601-SP1
Running Python 3.2

2124451511836601806288784773244866704168944376405141949618872895428250148645593938173936674427844034653333483796872919739720238236285852454036882733967901340334381772629579939<175>

2557818900349129721712794436731561434877822819977<49>
830571512137401363870475336722427034559833674280763942646931582035081951353233725322404222791524207454967708706609125043311307<126>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 2124451511836601806288784773244866704168944376405141949618872895428250148645593938173936674427844034653333483796872919739720238236285852454036882733967901340334381772629579939 (175 digits)
Using B1=37460000, B2=192391008826, polynomial Dickson(12), sigma=1:681272359
Step 1 took 105193ms
********** Factor found in step 1: 2557818900349129721712794436731561434877822819977
Found prime factor of 49 digits: 2557818900349129721712794436731561434877822819977
Prime cofactor 830571512137401363870475336722427034559833674280763942646931582035081951353233725322404222791524207454967708706609125043311307 has 126 digits

6748319359537442476275804036279316838355388069622999252720095726471311042604177588436859427463390222719491936871756999711754817312310889960584255215657028995302418018200278547653<178>

59560239828445665014736715793864380525144469<44>
113302420859535890705845151060329352941272225691102090438508950316661349720647528393545469131005236020313316185136563164840073843546737<135>

#
# N = 49x10^204-13 = 54(203)3
#
n: 6748319359537442476275804036279316838355388069622999252720095726471311042604177588436859427463390222719491936871756999711754817312310889960584255215657028995302418018200278547653
m: 50000000000000000000000000000000000000000
deg: 5
c5: 784
c0: -65
skew: 0.61
# Murphy_E = 7.42e-12
type: snfs
lss: 1
rlim: 19300000
alim: 19300000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 6748319359537442476275804036279316838355388069622999252720095726471311042604177588436859427463390222719491936871756999711754817312310889960584255215657028995302418018200278547653 (178 digits)
Using B1=36920000, B2=192390318136, polynomial Dickson(12), sigma=1:1484025212
Step 1 took 99282ms
Step 2 took 35476ms
********** Factor found in step 2: 59560239828445665014736715793864380525144469
Found prime factor of 44 digits: 59560239828445665014736715793864380525144469
Prime cofactor 113302420859535890705845151060329352941272225691102090438508950316661349720647528393545469131005236020313316185136563164840073843546737 has 135 digits

34838809138891450234989836215629951377579511224840106757174769204209431608595706009930954358288913941074179796454387624896421598784272353<137>

53631888808564096932346517240755757887858571127925843815179<59>
649591314287784085147097824701213112259314497678750013847096159445008796195907<78>

Number: 54443_207
N = 34838809138891450234989836215629951377579511224840106757174769204209431608595706009930954358288913941074179796454387624896421598784272353 (137 digits)
Divisors found:
r1=53631888808564096932346517240755757887858571127925843815179 (pp59)
r2=649591314287784085147097824701213112259314497678750013847096159445008796195907 (pp78)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 123.58 hours.
Factorization parameters were as follows:
# Murphy_E = 3.546e-11, selected by Erik Branger
# expecting poly E from 3.33e-011 to > 3.83e-011
n: 34838809138891450234989836215629951377579511224840106757174769204209431608595706009930954358288913941074179796454387624896421598784272353
Y0: -340963803306778753881726790
Y1: 290947668197339
c0: -2207563464285927435904750763444943
c1: 13627995295092574284417459449
c2: -9511403930877246218794
c3: -29116166244386431
c4: 2492541579
c5: 7560
skew: 1062834.56
type: gnfs
# selected mechanically
rlim: 14700000
alim: 14700000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 14700000/14700000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 22465254
Relations: 3608382 relations
Pruned matrix : 2179571 x 2179800
Polynomial selection time: 0.00 hours.
Total sieving time: 119.90 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 3.17 hours.
time per square root: 0.38 hours.
Prototype def-par.txt line would be: gnfs,136,5,65,2000,1e-05,0.28,250,20,50000,3600,14700000,14700000,28,28,55,55,2.6,2.6,100000
total time: 123.58 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz

GGNFS, Msieve

6906859219462206010228713138197146834369892169573681122085510239158449762144527412020552260852526822287542481862577641<118>

11811624460450914379770797502162120005628102115161044909<56>
584751000388521781327288276311800840263853642886767591453451949<63>

N=6906859219462206010228713138197146834369892169573681122085510239158449762144527412020552260852526822287542481862577641
  ( 118 digits)
Divisors found:
 r1=11811624460450914379770797502162120005628102115161044909 (pp56)
 r2=584751000388521781327288276311800840263853642886767591453451949 (pp63)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 42.28 hours.
Scaled time: 39.36 units (timescale=0.931).
Factorization parameters were as follows:
n: 6906859219462206010228713138197146834369892169573681122085510239158449762144527412020552260852526822287542481862577641
skew: 91449.15
c0: -20589214355866549060629683720
c1: 3631954003896196409390708
c2: -17938019118212251062
c3: -971936787028757
c4: 1225208438
c5: 39480
Y0: -44522617801877278744503
Y1: 5282268953
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 200000
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2400000, 3800001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 551787 x 552020
Total sieving time: 41.52 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 0.43 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
gnfs,117,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4800000,4800000,27,27,54,54,2.5,2.5,100000
total time: 42.28 hours.
 --------- CPU info (if available) ----------

3150118579463669810999314045607288217206461986104762657851477694910372697600831116999904210679930594530236959634123370215435966768177630686526557106828235605726015543585104953593610273758162182247860330171<205>

1014899588939971790146519225657844569943<40>
3103872160155135997781434943919166249264819135468565641765206033555975479157805647129487907748458591233665383292761942457257539483910600417658486842548270160670279997<166>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=604460007
Step 1 took 20729ms
Step 2 took 7664ms
********** Factor found in step 2: 1014899588939971790146519225657844569943
Found probable prime factor of 40 digits: 1014899588939971790146519225657844569943

815302778640452319968383925252929841468758520200284583518074576136452207466626211466018616822451118066190776385190895945098898052069210150653495227299133499954073103752169609858962931202763<189>

1518959778969424326878992213032555144386022825193593245335453385275458847890963067273049981671064254662683721943435679333017043837640476775545728445818716081546689163776823049554015883730436545270838703<202>

60493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827160493827<215>

7740141713853407832384994344554175043393<40>

7815596845238786340293921489700765196816761358493681766664160653379755399057086399818249654326859887498090387061249547132769582546431506043454035363869923118063303750990985539<175>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=3829389522
Step 1 took 80997ms
Step 2 took 1928ms
********** Factor found in step 2: 7740141713853407832384994344554175043393
Found probable prime factor of 40 digits: 7740141713853407832384994344554175043393
Composite cofactor 

47943647155304327083711590423785618879938184069536503142267682797340887161850225939891071604720202152872830750699323368809940116926921826302776266294441581990867185053583002068156279985978655179256203587<203>

29860665477029350880402561501334998075408754401<47>
1605578656382775897388992881618007450576009178503789708017706791243382195525422982477714868831058247374733080397788750752092240739773167746484065838910490787<157>

Number: n
N=47943647155304327083711590423785618879938184069536503142267682797340887161850225939891071604720202152872830750699323368809940116926921826302776266294441581990867185053583002068156279985978655179256203587  ( 203 digits)
SNFS difficulty: 217 digits.
Divisors found:

Tue Sep  1 19:55:49 2020  p47 factor: 29860665477029350880402561501334998075408754401
Tue Sep  1 19:55:49 2020  p157 factor: 1605578656382775897388992881618007450576009178503789708017706791243382195525422982477714868831058247374733080397788750752092240739773167746484065838910490787
Tue Sep  1 19:55:49 2020  elapsed time 08:20:22 (Msieve 1.54 - dependency 3)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.124).
Factorization parameters were as follows:
#
# N = 49x10^216-13 = 54(215)3
#
n: 47943647155304327083711590423785618879938184069536503142267682797340887161850225939891071604720202152872830750699323368809940116926921826302776266294441581990867185053583002068156279985978655179256203587
m: 1000000000000000000000000000000000000
deg: 6
c6: 49
c0: -13
skew: 0.80
# Murphy_E = 2.589e-12
type: snfs
lss: 1
rlim: 30000000
alim: 30000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 30000000/30000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 91000000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 10026722 hash collisions in 59705872 relations (51894144 unique)
Msieve: matrix is 4240065 x 4240291 (1478.1 MB)

Sieving start time: 2020/08/30 17:21:02
Sieving end time  : 2020/09/01 11:34:23

Total sieving time: -702hrs 13min 21secs.

Total relation processing time: 7hrs 36min 38sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 24min 48sec.

Prototype def-par.txt line would be:
snfs,217,6,0,0,0,0,0,0,0,0,30000000,30000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.154206] 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)

28943671698618501419896790765258098074591941336351886575397582531211157334154813804857878686285963228293736234441425265073972021050413455329373756348757469143373109794386696207877514067259434244428728621399272121<212>

24183023880420017743601323138588268474244238747257920779466946300498923377640624657197103<89>
1196859079399618877188926879202526197002547992276619227061050764695377028696349249125289997704437818875355105769916148070807<124>

Number: n
N=28943671698618501419896790765258098074591941336351886575397582531211157334154813804857878686285963228293736234441425265073972021050413455329373756348757469143373109794386696207877514067259434244428728621399272121
  ( 212 digits)
SNFS difficulty: 219 digits.
Divisors found:

Wed Aug 28 08:37:07 2019  p89 factor: 24183023880420017743601323138588268474244238747257920779466946300498923377640624657197103
Wed Aug 28 08:37:07 2019  p124 factor: 1196859079399618877188926879202526197002547992276619227061050764695377028696349249125289997704437818875355105769916148070807
Wed Aug 28 08:37:07 2019  elapsed time 08:04:42 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.116).
Factorization parameters were as follows:
#
# N = 49x10^218-13 = 54(217)3
#
n: 28943671698618501419896790765258098074591941336351886575397582531211157334154813804857878686285963228293736234441425265073972021050413455329373756348757469143373109794386696207877514067259434244428728621399272121
m: 1000000000000000000000000000000000000
deg: 6
c6: 4900
c0: -13
skew: 0.37
# Murphy_E = 1.941e-12
type: snfs
lss: 1
rlim: 32000000
alim: 32000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 32000000/32000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 77600000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 13153766 hash collisions in 70486609 relations (58288359 unique)
Msieve: matrix is 4205432 x 4205656 (1458.0 MB)

Sieving start time: 2019/08/26 11:18:30
Sieving end time  : 2019/08/28 00:29:34

Total sieving time: 37hrs 11min 4secs.

Total relation processing time: 7hrs 24min 20sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 19min 33sec.

Prototype def-par.txt line would be:
snfs,219,6,0,0,0,0,0,0,0,0,32000000,32000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.040000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284080K/16703460K available (12300K kernel code, 2478K rwdata, 4280K rodata, 2424K init, 2384K bss, 419380K reserved, 0K cma-reserved)
[    0.072549] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.52 BogoMIPS (lpj=11977052)
[    0.070220] smpboot: Total of 16 processors activated (95816.41 BogoMIPS)

19819830150907735420000721609117486667551097853681435995991695166020798893199714949636162863464942487876269879609335753563461859769972728151661724698387095564828626529<167>

850769578509896700989918123272867<33>
23296355031431319990597984472658986592753244799334001929295158924874647483980052168193348609714077979222534826779928166165397219481387<134>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3191419813
Step 1 took 25316ms
Step 2 took 9889ms
********** Factor found in step 2: 850769578509896700989918123272867
Found probable prime factor of 33 digits: 850769578509896700989918123272867

322229713941831473309981928085327427392935086625199483042402610994917496100642524805654105080308978632837636474077956447987085895785213473988023803401360582527659949385074068406832438102881998774115455253<204>

2032715036979685506025069582721331125177094700079179333316034996610679<70>
158521833154054521875652801370136479307044955525393934205380799646505825176694437129300084140834960445161512366027783598361931193879507<135>

Number: 54443_220
N = 322229713941831473309981928085327427392935086625199483042402610994917496100642524805654105080308978632837636474077956447987085895785213473988023803401360582527659949385074068406832438102881998774115455253 (204 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=2032715036979685506025069582721331125177094700079179333316034996610679 (pp70)
r2=158521833154054521875652801370136479307044955525393934205380799646505825176694437129300084140834960445161512366027783598361931193879507 (pp135)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 65.31 hours.
Factorization parameters were as follows:
n: 322229713941831473309981928085327427392935086625199483042402610994917496100642524805654105080308978632837636474077956447987085895785213473988023803401360582527659949385074068406832438102881998774115455253
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 49
c0: -13
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: 30634835
Relations: 8216008 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 27.30 hours.
Total relation processing time: 0.34 hours.
Pruned matrix : 7124639 x 7124864
Matrix solve time: 37.04 hours.
time per square root: 0.63 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: 65.31 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

13407230056760912918179031623082131456913166678921394832905073227445591644634531103748743020811112990599227705541164992376036318727149347972876813139451517692536502459094946319837322366554439819320024287<203>

1551690939706961776002688227171838015711398409902789788412637166912834801086906708214121459718333413375218710341262359296138183429864282049071054568865099285795388768071<169>

4430458883304777249093776755440612110188510211499427109743406273781205189971923161010871091509078796392242053538354391338936426671870499103328093631488820382443969658383953854278338541<184>

2034559766364237984045942319556662309172453085622097968438472359575219844323917599265062547390344765690008433507463628406777210114350679896619665650207688175927366526876628571<175>

4140132652385545522437707613573301<34>

491423811068450696122580947339401859756128357511785011175131413446746196191079208739385364868137915852212826870351467967702367851541807064271<141>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=497485121
Step 1 took 32435ms
Step 2 took 11271ms
********** Factor found in step 2: 4140132652385545522437707613573301
Found probable prime factor of 34 digits: 4140132652385545522437707613573301

491423811068450696122580947339401859756128357511785011175131413446746196191079208739385364868137915852212826870351467967702367851541807064271<141>

17778281913909723020666785890147125131996792982480779933<56>
27641805515749012710129923567414163681246808003414123705682322660314399906800674429787<86>

Number: 54443_226
N = 491423811068450696122580947339401859756128357511785011175131413446746196191079208739385364868137915852212826870351467967702367851541807064271 (141 digits)
Divisors found:
r1=17778281913909723020666785890147125131996792982480779933 (pp56)
r2=27641805515749012710129923567414163681246808003414123705682322660314399906800674429787 (pp86)
Version: Msieve v. 1.51 (SVN 845)
Total time: 372.78 hours.
Factorization parameters were as follows:
# Murphy_E = 1.925e-11, selected by Erik Branger
# expecting poly E from 1.87e-011 to > 2.14e-011
n: 491423811068450696122580947339401859756128357511785011175131413446746196191079208739385364868137915852212826870351467967702367851541807064271
Y0: -3393490368943781172161675837
Y1: 561112630156877
c0: 43864904982888896070528445217411616
c1: 250244252609305204308633916900
c2: -51875842571439170366368
c3: -359450580573891813
c4: 6880446056
c5: 1092
skew: 3234823.73
type: gnfs
# selected mechanically
rlim: 19000000
alim: 19000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19000000/19000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23157067
Relations: 3738906 relations
Pruned matrix : 2314686 x 2314913
Polynomial selection time: 0.00 hours.
Total sieving time: 366.64 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 5.32 hours.
time per square root: 0.60 hours.
Prototype def-par.txt line would be: gnfs,140,5,65,2000,1e-05,0.28,250,20,50000,3600,19000000,19000000,28,28,56,56,2.6,2.6,100000
total time: 372.78 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz

GGNFS, Msieve

6416882454105678983005593605140785429860603506738422499681562210410026600352841247776380456206207389503420770076372389997445631154437478973718410994410158616808737776213897560574314436819651<190>

11217101272110852431020550187371375331076177852863680170683075683384725970794331014369335650008126675411427250230637337380646608658228659464829809103249983403268525958432627571634926848475275448512360558840563785245162338925859539<230>

41886779115236644804042667914398502449043455390947192016432002583752013498599954588803156859127682559997090429324437328008027911217132602010253535600391309522764305750279185945698195620726101828248583143899828325770619<218>

3695013816328683628456894013069320092355679851749950154696673772446327864601620473473209618079129529055715568925382166579604648997929014679679350821104258309394265121237333<172>

1761652605947488236175828099<28>
25443557195914643556555653997673<32>
6424148063972436759271693109596066105158838693247<49>
12832238572049211577079253453087731599960680711638249777552978257<65>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3868696675
Step 1 took 26287ms
Step 2 took 9927ms
********** Factor found in step 2: 1761652605947488236175828099
Found probable prime factor of 28 digits: 1761652605947488236175828099

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3469534145
Step 1 took 21003ms
Step 2 took 8383ms
********** Factor found in step 2: 25443557195914643556555653997673
Found probable prime factor of 32 digits: 25443557195914643556555653997673
Composite cofactor 82436200579062368984775615363378473501497337058916948099957017997521832692936538932594068813048382484654883730479 has 113 digits

N=82436200579062368984775615363378473501497337058916948099957017997521832692936538932594068813048382484654883730479
  ( 113 digits)
Divisors found:
 r1=6424148063972436759271693109596066105158838693247 (pp49)
 r2=12832238572049211577079253453087731599960680711638249777552978257 (pp65)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 29.72 hours.
Scaled time: 31.83 units (timescale=1.071).
Factorization parameters were as follows:
n: 82436200579062368984775615363378473501497337058916948099957017997521832692936538932594068813048382484654883730479
skew: 107765.34
c0: 16980130836966565927322184825
c1: 343431719699561403061830
c2: -1971502517977762699
c3: -67293998973394
c4: -266889462
c5: 3060
Y0: -7692712471466583526508
Y1: 195034792751
rlim: 3980000
alim: 3980000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 100000
type: gnfs
Factor base limits: 3980000/3980000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [1990000, 2890001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 478059 x 478286
Total sieving time: 28.88 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 0.36 hours.
Time per square root: 0.24 hours.
Prototype def-par.txt line would be:
gnfs,112,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3980000,3980000,27,27,54,54,2.5,2.5,100000
total time: 29.72 hours.
 --------- CPU info (if available) ----------

87262008177519499097049292161428244253859822375804201096554258890102599463781326061081699396874763643233703869259217511472409807245084227037175672649920300581268235068293245466044810750525867539934911<200>

1031430348088999976959469021967464362612141360449653900131935865969744040300081447885262462339106032623204800693061245415070132877124431171787817513127018565060849718863968648939697918589755767968573595308788987<211>

38833945986072226506087241463682453485312447214761822595532709178421878526456799982050664561504474064426687522423611246562100439964291375506716382297120840399471123964272875170058198446872200184741977<200>

1931493456257915060934139583265543829789406471334704695170163117631967567458679087749811280362269876794347523348685850259226137735128079160826124931255995206575773411862197959920918044022916829156293667609467881966651273<220>

27529900294829032571232900627634314276444701478674694811073467495123999085679496845770702266655765347255484971118311133115190395499733865445057515986141777342762162824417311668931279750734098042131475333343<206>

1266149870801033591731266149870801033591731266149870801033591731266149870801033591731266149870801033591731266149870801033591731266149870801033591731266149870801033591731266149870801033591731266149870801033591731266149870801033591731266149870801<244>

996001585931551544578570046541315656318821<42>
1271232785856274241318536964181014211729152448119845945578558881455943973687386470470121343717201857449294690831465428789634342276455073088217476243348664804880903871342519341288289307332437400684400381<202>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1408711072
Step 1 took 300983ms
Step 2 took 71671ms
********** Factor found in step 2: 996001585931551544578570046541315656318821
Found probable prime factor of 42 digits: 996001585931551544578570046541315656318821
Probable prime cofactor 

477197291078340474794380993298358478718336571839555309864060451200735885633131689582392905130563032682938562474139730793933597471907663057749465986854000559674583320228223107520065455139256747143<195>

126113605062205075302965145459948626973589201390795691569613681005019595226193915939241613325385949781803034783396343709429683010307515854429281519079271334617862212780339038898818894528315052761295284870088270973652801347<222>

2083777100656342165231971578587495075147015734005411003893746084995708185906786859217968621814044202830738523352110836334167113013461194837212839373728655211053031117426002090220295222532057273405669371<202>

66401439136294218432552906013800257065237859667415159157955744939701878232095566163255340985301780250094575586977118080921774702453053471206844440040752201972284351674414916677366918779060269961583<197>

151333809805531128314712971628601139<36>

438774648055330326805238795548858422708584154833573254697817773005238466355600899127375762792182888860316901019888868746792884006621834119003501310755516518134997<162>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=847323118
Step 1 took 37321ms
********** Factor found in step 1: 151333809805531128314712971628601139
Found probable prime factor of 36 digits: 151333809805531128314712971628601139

1113480490000990762585791734366564382815029794366741894105354447764513996343428525779407991504255706675552048152224249983298926775875482130320956626983838509032922659353921307604399<181>

35249913794130361375775620730111<32>

31588176257792776276727795201430686881604224423809680353761489733212310378782782404198975056998514651791893271925768692790581735660663838266668099409<149>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1558396597
Step 1 took 30577ms
Step 2 took 10649ms
********** Factor found in step 2: 35249913794130361375775620730111
Found probable prime factor of 32 digits: 35249913794130361375775620730111

31588176257792776276727795201430686881604224423809680353761489733212310378782782404198975056998514651791893271925768692790581735660663838266668099409<149>

150492258224769914189714478161286651789937<42>
209899011619679421957151904548834776265556702732865130546350225461730341029203813953205293224701985196729057<108>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3010378664
Step 1 took 5578ms
Step 2 took 4297ms
********** Factor found in step 2: 150492258224769914189714478161286651789937
Found probable prime factor of 42 digits: 150492258224769914189714478161286651789937
Probable prime cofactor 209899011619679421957151904548834776265556702732865130546350225461730341029203813953205293224701985196729057 has 108 digits

GMP-ECM 7.0

2486436091097906787892457860238326044187385559947994712331598120848039266113061851149342617620677973023162812246920382675247075609840403132479949048698178183870020769126310747045696675346209672451874310094215856386068457<220>