12654742956308319208001815095457829006770865088629132792063259091642997339167370070670697<89>

36013266440688616345295431069<29>
351391145736525018235906374578142388376586965484659934737213<60>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4220053992
Step 1 took 6870ms
********** Factor found in step 1: 36013266440688616345295431069
Found probable prime factor of 29 digits: 36013266440688616345295431069
Probable prime cofactor 351391145736525018235906374578142388376586965484659934737213 has 60 digits

GMP-ECM 6.2.1

16838401753632761174552519581665125790188915294280208670878619634506695061919163828271280503672814131<101>

333728983045174223839178403845903215232489713<45>
50455317365568699719447303521559444723728810119559570787<56>

Number: 46663_112
N=16838401753632761174552519581665125790188915294280208670878619634506695061919163828271280503672814131
  ( 101 digits)
SNFS difficulty: 113 digits.
Divisors found:
 r1=333728983045174223839178403845903215232489713
 r2=50455317365568699719447303521559444723728810119559570787
Version: 
Total time: 1.63 hours.
Scaled time: 1.59 units (timescale=0.974).
Factorization parameters were as follows:
n: 16838401753632761174552519581665125790188915294280208670878619634506695061919163828271280503672814131
m: 20000000000000000000000
deg: 5
c5: 175
c0: -44
skew: 0.76
type: snfs
lss: 1
rlim: 550000
alim: 550000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 550000/550000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [275000, 475001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 61692 x 61912
Total sieving time: 1.63 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,113,5,0,0,0,0,0,0,0,0,550000,550000,25,25,45,45,2.2,2.2,50000
total time: 1.63 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

2057563834708558700370740045678726131547157359320251956209589653345623526539050521743382194019<94>

654530224410243311038137953434723<33>
3143573448517984282356294478527718100470179527192788309661953<61>

Mon Feb 09 07:55:40 2009  Msieve v. 1.39
Mon Feb 09 07:55:40 2009  random seeds: 68aec570 31520c7c
Mon Feb 09 07:55:40 2009  factoring 2057563834708558700370740045678726131547157359320251956209589653345623526539050521743382194019 (94 digits)
Mon Feb 09 07:55:41 2009  searching for 15-digit factors
Mon Feb 09 07:55:42 2009  commencing quadratic sieve (94-digit input)
Mon Feb 09 07:55:43 2009  using multiplier of 19
Mon Feb 09 07:55:43 2009  using 32kb Intel Core sieve core
Mon Feb 09 07:55:43 2009  sieve interval: 36 blocks of size 32768
Mon Feb 09 07:55:43 2009  processing polynomials in batches of 6
Mon Feb 09 07:55:43 2009  using a sieve bound of 1991609 (73895 primes)
Mon Feb 09 07:55:43 2009  using large prime bound of 256917561 (27 bits)
Mon Feb 09 07:55:43 2009  using double large prime bound of 1372868018887893 (42-51 bits)
Mon Feb 09 07:55:43 2009  using trial factoring cutoff of 51 bits
Mon Feb 09 07:55:43 2009  polynomial 'A' values have 12 factors
Mon Feb 09 11:00:34 2009  74091 relations (18064 full + 56027 combined from 1032110 partial), need 73991
Mon Feb 09 11:00:35 2009  begin with 1050174 relations
Mon Feb 09 11:00:36 2009  reduce to 192079 relations in 11 passes
Mon Feb 09 11:00:36 2009  attempting to read 192079 relations
Mon Feb 09 11:00:39 2009  recovered 192079 relations
Mon Feb 09 11:00:39 2009  recovered 176068 polynomials
Mon Feb 09 11:00:40 2009  attempting to build 74091 cycles
Mon Feb 09 11:00:40 2009  found 74091 cycles in 5 passes
Mon Feb 09 11:00:40 2009  distribution of cycle lengths:
Mon Feb 09 11:00:40 2009     length 1 : 18064
Mon Feb 09 11:00:40 2009     length 2 : 13101
Mon Feb 09 11:00:40 2009     length 3 : 12529
Mon Feb 09 11:00:40 2009     length 4 : 9968
Mon Feb 09 11:00:40 2009     length 5 : 7638
Mon Feb 09 11:00:40 2009     length 6 : 5072
Mon Feb 09 11:00:40 2009     length 7 : 3333
Mon Feb 09 11:00:40 2009     length 9+: 4386
Mon Feb 09 11:00:40 2009  largest cycle: 22 relations
Mon Feb 09 11:00:40 2009  matrix is 73895 x 74091 (19.5 MB) with weight 4822373 (65.09/col)
Mon Feb 09 11:00:40 2009  sparse part has weight 4822373 (65.09/col)
Mon Feb 09 11:00:41 2009  filtering completed in 3 passes
Mon Feb 09 11:00:41 2009  matrix is 70504 x 70568 (18.7 MB) with weight 4617367 (65.43/col)
Mon Feb 09 11:00:41 2009  sparse part has weight 4617367 (65.43/col)
Mon Feb 09 11:00:41 2009  saving the first 48 matrix rows for later
Mon Feb 09 11:00:41 2009  matrix is 70456 x 70568 (11.9 MB) with weight 3636187 (51.53/col)
Mon Feb 09 11:00:41 2009  sparse part has weight 2704076 (38.32/col)
Mon Feb 09 11:00:41 2009  matrix includes 64 packed rows
Mon Feb 09 11:00:41 2009  using block size 28227 for processor cache size 1024 kB
Mon Feb 09 11:00:42 2009  commencing Lanczos iteration
Mon Feb 09 11:00:42 2009  memory use: 11.4 MB
Mon Feb 09 11:01:15 2009  lanczos halted after 1116 iterations (dim = 70453)
Mon Feb 09 11:01:15 2009  recovered 16 nontrivial dependencies
Mon Feb 09 11:01:15 2009  prp33 factor: 654530224410243311038137953434723
Mon Feb 09 11:01:15 2009  prp61 factor: 3143573448517984282356294478527718100470179527192788309661953
Mon Feb 09 11:01:15 2009  elapsed time 03:05:35

577779586795945851340787142976311368720216146579380688424821826172703170290605209762660028722126253<99>

401939126226079394957983105887462761<36>
1437480327483622902238400805844525586589744752604432045435492773<64>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3372623027
Step 1 took 8298ms
Step 2 took 8669ms
********** Factor found in step 2: 401939126226079394957983105887462761
Found probable prime factor of 36 digits: 401939126226079394957983105887462761
Probable prime cofactor has 64 digits

GMP-ECM 6.2.1

4666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663<124>

139976468207411466690992179483251259<36>
33338937082994470387437373381084003444503733868280889830350658073276061742343159749441157<89>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3143898098
Step 1 took 9739ms
Step 2 took 10298ms
********** Factor found in step 2: 139976468207411466690992179483251259
Found probable prime factor of 36 digits: 139976468207411466690992179483251259
Probable prime cofactor has 89 digits

GMP-ECM 6.2.1

15618441174229263451452204214107669620027686965986696000061011132240544631265281382536562568528268909055703409<110>

46900919101739598763136250902750403061951<41>
333009277288341262475781822043827398097001339583286019035504156113359<69>

Number: 46663_124
N=15618441174229263451452204214107669620027686965986696000061011132240544631265281382536562568528268909055703409
  ( 110 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=46900919101739598763136250902750403061951 (pp41)
 r2=333009277288341262475781822043827398097001339583286019035504156113359 (pp69)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 3.20 hours.
Scaled time: 1.51 units (timescale=0.472).
Factorization parameters were as follows:
name: 46663_124
n: 15618441174229263451452204214107669620027686965986696000061011132240544631265281382536562568528268909055703409
m: 10000000000000000000000000
deg: 5
c5: 7
c0: -55
skew: 1.51
type: snfs
lss: 1
rlim: 880000
alim: 880000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 880000/880000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [440000, 690001)
Primes: RFBsize:69823, AFBsize:69849, largePrimes:2497100 encountered
Relations: rels:2459152, finalFF:254174
Max relations in full relation-set: 28
Initial matrix: 139737 x 254174 with sparse part having weight 18212629.
Pruned matrix : 105737 x 106499 with weight 5326069.
Total sieving time: 2.96 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,125,5,0,0,0,0,0,0,0,0,880000,880000,26,26,46,46,2.3,2.3,50000
total time: 3.20 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

6350848065032684185934686063971185295064937421464959195801182165004105369642038985134479207777067087637166977404589848623<121>

5034932239666512615015060534000743855051033015105258165189<58>
1261357206557626066936205067924634248448443329495853791285540707<64>

Number: 46663_125
N=6350848065032684185934686063971185295064937421464959195801182165004105369642038985134479207777067087637166977404589848623
  ( 121 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=5034932239666512615015060534000743855051033015105258165189 (pp58)
 r2=1261357206557626066936205067924634248448443329495853791285540707 (pp64)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 3.13 hours.
Scaled time: 1.48 units (timescale=0.472).
Factorization parameters were as follows:
name: 46663_125
n: 6350848065032684185934686063971185295064937421464959195801182165004105369642038985134479207777067087637166977404589848623
m: 10000000000000000000000000
deg: 5
c5: 14
c0: -11
skew: 0.95
type: snfs
lss: 1
rlim: 890000
alim: 890000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 890000/890000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [445000, 695001)
Primes: RFBsize:70555, AFBsize:70714, largePrimes:2555662 encountered
Relations: rels:2542004, finalFF:275929
Max relations in full relation-set: 28
Initial matrix: 141337 x 275929 with sparse part having weight 20282825.
Pruned matrix : 103424 x 104194 with weight 5518508.
Total sieving time: 2.88 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,126,5,0,0,0,0,0,0,0,0,890000,890000,26,26,46,46,2.3,2.3,50000
total time: 3.13 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

562452291993089871841227753003093487605961994295126752641517014181832790968623197139528343578000080350327427584267405889679<123>

158364175209281901057565131239<30>

3551638438742829478396902688411967033383524043930677957142978601586957545196084433786091271961<94>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1792202309
Step 1 took 9786ms
********** Factor found in step 1: 158364175209281901057565131239
Found probable prime factor of 30 digits: 158364175209281901057565131239
Composite cofactor has 94 digits

GMP-ECM 6.2.1

3551638438742829478396902688411967033383524043930677957142978601586957545196084433786091271961<94>

3252180732294199220113691787392621500316407<43>
1092079048213714302920212100999726007741012258867823<52>

Tue Feb 10 07:35:01 2009  Msieve v. 1.39
Tue Feb 10 07:35:01 2009  random seeds: 7830df1c 55440e32
Tue Feb 10 07:35:01 2009  factoring 3551638438742829478396902688411967033383524043930677957142978601586957545196084433786091271961 (94 digits)
Tue Feb 10 07:35:02 2009  searching for 15-digit factors
Tue Feb 10 07:35:03 2009  commencing quadratic sieve (94-digit input)
Tue Feb 10 07:35:03 2009  using multiplier of 1
Tue Feb 10 07:35:03 2009  using 32kb Intel Core sieve core
Tue Feb 10 07:35:03 2009  sieve interval: 36 blocks of size 32768
Tue Feb 10 07:35:03 2009  processing polynomials in batches of 6
Tue Feb 10 07:35:03 2009  using a sieve bound of 2017283 (75294 primes)
Tue Feb 10 07:35:03 2009  using large prime bound of 270315922 (28 bits)
Tue Feb 10 07:35:03 2009  using double large prime bound of 1504419205773942 (42-51 bits)
Tue Feb 10 07:35:03 2009  using trial factoring cutoff of 51 bits
Tue Feb 10 07:35:03 2009  polynomial 'A' values have 12 factors
Tue Feb 10 10:04:55 2009  75815 relations (19619 full + 56196 combined from 1059430 partial), need 75390
Tue Feb 10 10:04:56 2009  begin with 1079049 relations
Tue Feb 10 10:04:57 2009  reduce to 193123 relations in 11 passes
Tue Feb 10 10:04:57 2009  attempting to read 193123 relations
Tue Feb 10 10:05:00 2009  recovered 193123 relations
Tue Feb 10 10:05:00 2009  recovered 172486 polynomials
Tue Feb 10 10:05:00 2009  attempting to build 75815 cycles
Tue Feb 10 10:05:00 2009  found 75815 cycles in 6 passes
Tue Feb 10 10:05:00 2009  distribution of cycle lengths:
Tue Feb 10 10:05:00 2009     length 1 : 19619
Tue Feb 10 10:05:00 2009     length 2 : 13612
Tue Feb 10 10:05:00 2009     length 3 : 12791
Tue Feb 10 10:05:00 2009     length 4 : 10175
Tue Feb 10 10:05:00 2009     length 5 : 7352
Tue Feb 10 10:05:00 2009     length 6 : 4997
Tue Feb 10 10:05:00 2009     length 7 : 3140
Tue Feb 10 10:05:00 2009     length 9+: 4129
Tue Feb 10 10:05:00 2009  largest cycle: 21 relations
Tue Feb 10 10:05:00 2009  matrix is 75294 x 75815 (18.8 MB) with weight 4635779 (61.15/col)
Tue Feb 10 10:05:00 2009  sparse part has weight 4635779 (61.15/col)
Tue Feb 10 10:05:01 2009  filtering completed in 3 passes
Tue Feb 10 10:05:01 2009  matrix is 71133 x 71197 (17.7 MB) with weight 4353762 (61.15/col)
Tue Feb 10 10:05:01 2009  sparse part has weight 4353762 (61.15/col)
Tue Feb 10 10:05:01 2009  saving the first 48 matrix rows for later
Tue Feb 10 10:05:02 2009  matrix is 71085 x 71197 (10.5 MB) with weight 3344583 (46.98/col)
Tue Feb 10 10:05:02 2009  sparse part has weight 2318253 (32.56/col)
Tue Feb 10 10:05:02 2009  matrix includes 64 packed rows
Tue Feb 10 10:05:02 2009  using block size 28478 for processor cache size 1024 kB
Tue Feb 10 10:05:02 2009  commencing Lanczos iteration
Tue Feb 10 10:05:02 2009  memory use: 10.6 MB
Tue Feb 10 10:05:32 2009  lanczos halted after 1125 iterations (dim = 71085)
Tue Feb 10 10:05:32 2009  recovered 17 nontrivial dependencies
Tue Feb 10 10:05:34 2009  prp43 factor: 3252180732294199220113691787392621500316407
Tue Feb 10 10:05:34 2009  prp52 factor: 1092079048213714302920212100999726007741012258867823
Tue Feb 10 10:05:34 2009  elapsed time 02:30:33

1085271317829457364341085271317829457364341085271317829457364341085271317829457364341085271317829457364341085271317829457364341<127>

3202818108069289937646699055896780108615579936997021<52>
338848876586274922737750506772338476604603843678007719668492077103044148921<75>

Number: 46663_127
N=1085271317829457364341085271317829457364341085271317829457364341085271317829457364341085271317829457364341085271317829457364341
  ( 127 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=3202818108069289937646699055896780108615579936997021 (pp52)
 r2=338848876586274922737750506772338476604603843678007719668492077103044148921 (pp75)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 5.12 hours.
Scaled time: 2.42 units (timescale=0.472).
Factorization parameters were as follows:
name: 46663_127
n: 1085271317829457364341085271317829457364341085271317829457364341085271317829457364341085271317829457364341085271317829457364341
m: 20000000000000000000000000
deg: 5
c5: 175
c0: -44
skew: 0.76
type: snfs
lss: 1
rlim: 980000
alim: 980000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 980000/980000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [490000, 940001)
Primes: RFBsize:77067, AFBsize:76869, largePrimes:2752811 encountered
Relations: rels:2682505, finalFF:229280
Max relations in full relation-set: 28
Initial matrix: 154003 x 229280 with sparse part having weight 19036918.
Pruned matrix : 135193 x 136027 with weight 8277896.
Total sieving time: 4.71 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.25 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,128,5,0,0,0,0,0,0,0,0,980000,980000,26,26,47,47,2.3,2.3,50000
total time: 5.12 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

3727260850138201374548308233173381394977584692531583337507199903193451336867697785160168106173410763130754602888270939213<121>

18204393101316710103977304775103<32>
204745130990860189227208339461806475665544579666634988381174275691813652333618575353392371<90>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3648609508
Step 1 took 10038ms
Step 2 took 10265ms
********** Factor found in step 2: 18204393101316710103977304775103
Found probable prime factor of 32 digits: 18204393101316710103977304775103
Probable prime cofactor has 90 digits

GMP-ECM 6.2.1

3771490206897668508996417662258181683331035013057624605196952681250925972453955826817274570999021<97>

55689754421731528313630528731556321420638201<44>
67723232865001450904226740152972125229116778491836821<53>

Mon Feb 09 12:09:28 2009  Msieve v. 1.39
Mon Feb 09 12:09:28 2009  random seeds: 02d95db0 73bd4a11
Mon Feb 09 12:09:28 2009  factoring 3771490206897668508996417662258181683331035013057624605196952681250925972453955826817274570999021 (97 digits)
Mon Feb 09 12:09:29 2009  searching for 15-digit factors
Mon Feb 09 12:09:31 2009  commencing quadratic sieve (97-digit input)
Mon Feb 09 12:09:31 2009  using multiplier of 1
Mon Feb 09 12:09:31 2009  using 32kb Intel Core sieve core
Mon Feb 09 12:09:31 2009  sieve interval: 36 blocks of size 32768
Mon Feb 09 12:09:31 2009  processing polynomials in batches of 6
Mon Feb 09 12:09:31 2009  using a sieve bound of 2367983 (87059 primes)
Mon Feb 09 12:09:31 2009  using large prime bound of 355197450 (28 bits)
Mon Feb 09 12:09:31 2009  using double large prime bound of 2459493347837550 (43-52 bits)
Mon Feb 09 12:09:31 2009  using trial factoring cutoff of 52 bits
Mon Feb 09 12:09:31 2009  polynomial 'A' values have 12 factors
Mon Feb 09 18:19:31 2009  87388 relations (20335 full + 67053 combined from 1326971 partial), need 87155
Mon Feb 09 18:19:33 2009  begin with 1347306 relations
Mon Feb 09 18:19:34 2009  reduce to 232128 relations in 11 passes
Mon Feb 09 18:19:34 2009  attempting to read 232128 relations
Mon Feb 09 18:19:38 2009  recovered 232128 relations
Mon Feb 09 18:19:38 2009  recovered 219748 polynomials
Mon Feb 09 18:19:38 2009  attempting to build 87388 cycles
Mon Feb 09 18:19:38 2009  found 87388 cycles in 6 passes
Mon Feb 09 18:19:38 2009  distribution of cycle lengths:
Mon Feb 09 18:19:38 2009     length 1 : 20335
Mon Feb 09 18:19:38 2009     length 2 : 14866
Mon Feb 09 18:19:38 2009     length 3 : 14623
Mon Feb 09 18:19:38 2009     length 4 : 11771
Mon Feb 09 18:19:38 2009     length 5 : 9183
Mon Feb 09 18:19:38 2009     length 6 : 6338
Mon Feb 09 18:19:38 2009     length 7 : 4190
Mon Feb 09 18:19:38 2009     length 9+: 6082
Mon Feb 09 18:19:38 2009  largest cycle: 23 relations
Mon Feb 09 18:19:39 2009  matrix is 87059 x 87388 (24.7 MB) with weight 6119422 (70.03/col)
Mon Feb 09 18:19:39 2009  sparse part has weight 6119422 (70.03/col)
Mon Feb 09 18:19:40 2009  filtering completed in 3 passes
Mon Feb 09 18:19:40 2009  matrix is 83556 x 83620 (23.7 MB) with weight 5876520 (70.28/col)
Mon Feb 09 18:19:40 2009  sparse part has weight 5876520 (70.28/col)
Mon Feb 09 18:19:40 2009  saving the first 48 matrix rows for later
Mon Feb 09 18:19:40 2009  matrix is 83508 x 83620 (17.8 MB) with weight 4998471 (59.78/col)
Mon Feb 09 18:19:40 2009  sparse part has weight 4156746 (49.71/col)
Mon Feb 09 18:19:40 2009  matrix includes 64 packed rows
Mon Feb 09 18:19:40 2009  using block size 33448 for processor cache size 1024 kB
Mon Feb 09 18:19:41 2009  commencing Lanczos iteration
Mon Feb 09 18:19:41 2009  memory use: 15.5 MB
Mon Feb 09 18:20:36 2009  lanczos halted after 1322 iterations (dim = 83508)
Mon Feb 09 18:20:36 2009  recovered 17 nontrivial dependencies
Mon Feb 09 18:20:38 2009  prp44 factor: 55689754421731528313630528731556321420638201
Mon Feb 09 18:20:38 2009  prp53 factor: 67723232865001450904226740152972125229116778491836821
Mon Feb 09 18:20:38 2009  elapsed time 06:11:10

6490583841628061262315777809315409593584726746292768519686515518388301263188259175429115445704158884070246319<109>

5441001506811607664968380853<28>
1192902415759760041155529560368665943663030476585120252386859746571997424266723923<82>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1710825438
Step 1 took 8241ms
Step 2 took 9259ms
********** Factor found in step 2: 5441001506811607664968380853
Found probable prime factor of 28 digits: 5441001506811607664968380853
Probable prime cofactor has 82 digits

GMP-ECM 6.2.1

48109965635738831615120274914089347079037800687285223367697594501718213058419243986254295532646048109965635738831615120274914089347079<134>

216325011683394660532029937394768546868919821917193331<54>
222396685715430861931979051153696150459754279890786849159256645176706568853454109<81>

SNFS difficulty: 136 digits.
Divisors found:
 r1=216325011683394660532029937394768546868919821917193331 (pp54)
 r2=222396685715430861931979051153696150459754279890786849159256645176706568853454109 (pp81)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.315).
Factorization parameters were as follows:
n: 48109965635738831615120274914089347079037800687285223367697594501718213058419243986254295532646048109965635738831615120274914089347079
m: 1000000000000000000000000000
deg: 5
c5: 14
c0: -11
skew: 0.95
type: snfs
lss: 1
rlim: 1300000
alim: 1300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [650000, 1250001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 152434 x 152682
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,49,49,2.3,2.3,75000
total time: 4.4 hours.

Msieve-1.39

Opteron-2.6GHz; Linux x86_64

35642589070044811759250115618503629496532677337655097019972229539208373028706509051758707039654313431414080410274161789418103<125>

169383648259152212642177349998479<33>
210425205953249123792514702887199157100147468023394362068500007475951252567608738084988271257<93>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3300486010
Step 1 took 9925ms
Step 2 took 10356ms
********** Factor found in step 2: 169383648259152212642177349998479
Found probable prime factor of 33 digits: 169383648259152212642177349998479
Probable prime cofactor has 93 digits

GMP-ECM 6.2.1

364658061173014811940660341074139620063025883624393215828062415791310764890201996071076685050236953<99>

98791777779310242924201001806786296129<38>
3691178247521975388576957842118369003602251665922839419914457<61>

Number: 46663_139
N=364658061173014811940660341074139620063025883624393215828062415791310764890201996071076685050236953
  ( 99 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=98791777779310242924201001806786296129 (pp38)
 r2=3691178247521975388576957842118369003602251665922839419914457 (pp61)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 9.34 hours.
Scaled time: 4.41 units (timescale=0.472).
Factorization parameters were as follows:
name: 46663_139
n: 364658061173014811940660341074139620063025883624393215828062415791310764890201996071076685050236953
m: 10000000000000000000000000000
deg: 5
c5: 7
c0: -55
skew: 1.51
type: snfs
lss: 1
rlim: 1560000
alim: 1560000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1560000/1560000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [780000, 1480001)
Primes: RFBsize:118376, AFBsize:118000, largePrimes:3519188 encountered
Relations: rels:3532090, finalFF:334834
Max relations in full relation-set: 28
Initial matrix: 236441 x 334834 with sparse part having weight 27429830.
Pruned matrix : 201972 x 203218 with weight 12873741.
Total sieving time: 8.36 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.77 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,140,5,0,0,0,0,0,0,0,0,1560000,1560000,26,26,48,48,2.3,2.3,100000
total time: 9.34 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

465488398903076413933873335742209819591050818314837877222154582285303871638775887307081251135895910499<102>

1452696818449679082915802292831<31>
320430521352587908644960768758778465953139301183716248884263546526306429<72>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2525157069
Step 1 took 8338ms
Step 2 took 8976ms
********** Factor found in step 2: 1452696818449679082915802292831
Found probable prime factor of 31 digits: 1452696818449679082915802292831
Probable prime cofactor 320430521352587908644960768758778465953139301183716248884263546526306429 has 72 digits

GMP-ECM 6.2.1

6327476745290920461392956856050384855882331498037106331490387951941653621830800545288186294064832351683<103>

3462877103033302539607363495213<31>
1827231102064920444057882406957079321514533690060753527648703282452182191<73>

)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3838477871
Step 1 took 8269ms
Step 2 took 8915ms
********** Factor found in step 2: 3462877103033302539607363495213
Found probable prime factor of 31 digits: 3462877103033302539607363495213
Probable prime cofactor 1827231102064920444057882406957079321514533690060753527648703282452182191 has 73 digits

GMP-ECM 6.2.1

1567497288070142807545803409992045723815278859822088766697399578317029911602412383252759998001261815163359904058238274727571182624226279<136>

3245984688652840477417892491523<31>
482903475654005879880195721922667663804795587529937577601033996124366227516537727443752024883915447773773<105>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3298060385
Step 1 took 12686ms
Step 2 took 11105ms
********** Factor found in step 2: 3245984688652840477417892491523
Found probable prime factor of 31 digits: 3245984688652840477417892491523
Probable prime cofactor has 105 digits

GMP-ECM 6.2.1

1436129846322489891861707997659023743610672331253254191596629561333123038998333422561982792429541117<100>

2776588592463035618167267446146966595973892341987<49>
517228173529495948025544277131777941326206753336991<51>

Mon Feb 09 19:05:19 2009  Msieve v. 1.39
Mon Feb 09 19:05:19 2009  random seeds: 93e85930 5a9aa090
Mon Feb 09 19:05:19 2009  factoring 1436129846322489891861707997659023743610672331253254191596629561333123038998333422561982792429541117 (100 digits)
Mon Feb 09 19:05:20 2009  searching for 15-digit factors
Mon Feb 09 19:05:22 2009  commencing quadratic sieve (100-digit input)
Mon Feb 09 19:05:22 2009  using multiplier of 5
Mon Feb 09 19:05:22 2009  using 32kb Intel Core sieve core
Mon Feb 09 19:05:22 2009  sieve interval: 36 blocks of size 32768
Mon Feb 09 19:05:22 2009  processing polynomials in batches of 6
Mon Feb 09 19:05:22 2009  using a sieve bound of 2665589 (97647 primes)
Mon Feb 09 19:05:22 2009  using large prime bound of 399838350 (28 bits)
Mon Feb 09 19:05:22 2009  using double large prime bound of 3043630695467550 (43-52 bits)
Mon Feb 09 19:05:22 2009  using trial factoring cutoff of 52 bits
Mon Feb 09 19:05:22 2009  polynomial 'A' values have 13 factors
Tue Feb 10 05:05:58 2009  97905 relations (23686 full + 74219 combined from 1461371 partial), need 97743
Tue Feb 10 05:06:00 2009  begin with 1485057 relations
Tue Feb 10 05:06:01 2009  reduce to 256622 relations in 11 passes
Tue Feb 10 05:06:01 2009  attempting to read 256622 relations
Tue Feb 10 05:06:06 2009  recovered 256622 relations
Tue Feb 10 05:06:06 2009  recovered 246902 polynomials
Tue Feb 10 05:06:06 2009  attempting to build 97905 cycles
Tue Feb 10 05:06:06 2009  found 97905 cycles in 7 passes
Tue Feb 10 05:06:06 2009  distribution of cycle lengths:
Tue Feb 10 05:06:06 2009     length 1 : 23686
Tue Feb 10 05:06:06 2009     length 2 : 16873
Tue Feb 10 05:06:06 2009     length 3 : 16230
Tue Feb 10 05:06:06 2009     length 4 : 13475
Tue Feb 10 05:06:06 2009     length 5 : 10092
Tue Feb 10 05:06:06 2009     length 6 : 6934
Tue Feb 10 05:06:06 2009     length 7 : 4403
Tue Feb 10 05:06:06 2009     length 9+: 6212
Tue Feb 10 05:06:06 2009  largest cycle: 27 relations
Tue Feb 10 05:06:07 2009  matrix is 97647 x 97905 (26.2 MB) with weight 6485509 (66.24/col)
Tue Feb 10 05:06:07 2009  sparse part has weight 6485509 (66.24/col)
Tue Feb 10 05:06:09 2009  filtering completed in 3 passes
Tue Feb 10 05:06:09 2009  matrix is 93535 x 93599 (25.2 MB) with weight 6227516 (66.53/col)
Tue Feb 10 05:06:09 2009  sparse part has weight 6227516 (66.53/col)
Tue Feb 10 05:06:09 2009  saving the first 48 matrix rows for later
Tue Feb 10 05:06:09 2009  matrix is 93487 x 93599 (14.8 MB) with weight 4798306 (51.26/col)
Tue Feb 10 05:06:09 2009  sparse part has weight 3306922 (35.33/col)
Tue Feb 10 05:06:09 2009  matrix includes 64 packed rows
Tue Feb 10 05:06:09 2009  using block size 37439 for processor cache size 1024 kB
Tue Feb 10 05:06:10 2009  commencing Lanczos iteration
Tue Feb 10 05:06:10 2009  memory use: 14.9 MB
Tue Feb 10 05:07:16 2009  lanczos halted after 1480 iterations (dim = 93487)
Tue Feb 10 05:07:17 2009  recovered 18 nontrivial dependencies
Tue Feb 10 05:07:20 2009  prp49 factor: 2776588592463035618167267446146966595973892341987
Tue Feb 10 05:07:20 2009  prp51 factor: 517228173529495948025544277131777941326206753336991
Tue Feb 10 05:07:20 2009  elapsed time 10:02:01

4558069980751965609514156625434064690492727974300686266206625426041347809109326836538972006705113669907984692564053538881794298924387427<136>

7427355865375387772385083366322131<34>
613686763280137392811487951105655467824258493297675528637383799033626156222044909139765480052040935217<102>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1885434380
Step 1 took 12242ms
Step 2 took 11012ms
********** Factor found in step 2: 7427355865375387772385083366322131
Found probable prime factor of 34 digits: 7427355865375387772385083366322131
Probable prime cofactor has 102 digits

GMP-ECM 6.2.1

3879378237529912534734671158532224275623306421061235339840031566168200646252874061613388020263311523219493339180997249207708347834241361385993<142>

790201431747591512328248467805173945915034069<45>
4909353592223147287834320869080266584236486513036668945791681139340268204613391366624894381757797<97>

SNFS difficulty: 150 digits.
Divisors found:
 r1=790201431747591512328248467805173945915034069 (pp45)
 r2=4909353592223147287834320869080266584236486513036668945791681139340268204613391366624894381757797 (pp97)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.314).
Factorization parameters were as follows:
n: 3879378237529912534734671158532224275623306421061235339840031566168200646252874061613388020263311523219493339180997249207708347834241361385993
m: 1000000000000000000000000000000
deg: 5
c5: 7
c0: -55
skew: 1.51
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
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: 52/52
Sieved rational special-q in [1150000, 1750001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 331160 x 331408
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,52,52,2.4,2.4,100000
total time: 12.00 hours.

Msieve-1.39

Opteron-2.6GHz; Linux x86_64

10385926657724283585795401521825314336224352567336082740302586858895012580247310523831021187057343404423646960236022461931116166519146257<137>

248786394540065217850357824605605247924193004817<48>
41746361077843051159101552049861320614361683800694094804506317570285200098139725783800321<89>

Number: n
N=10385926657724283585795401521825314336224352567336082740302586858895012580247310523831021187057343404423646960236022461931116166519146257
  ( 137 digits)
SNFS difficulty: 152 digits.
Divisors found:

Wed Feb 11 04:04:05 2009  prp48 factor: 248786394540065217850357824605605247924193004817
Wed Feb 11 04:04:05 2009  prp89 factor: 41746361077843051159101552049861320614361683800694094804506317570285200098139725783800321
Wed Feb 11 04:04:05 2009  elapsed time 01:11:10 (Msieve 1.39 - dependency 3)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 11.77 hours.
Scaled time: 21.53 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_4_6_150_3
n: 10385926657724283585795401521825314336224352567336082740302586858895012580247310523831021187057343404423646960236022461931116166519146257
deg: 5
c5: 140
c0: -11
m: 1000000000000000000000000000000
skew: 0.60
type: snfs
rlim: 2400000
alim: 2400000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 1900267)
Primes: RFBsize:176302, AFBsize:176359, largePrimes:14958013 encountered
Relations: rels:13357259, finalFF:360294
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 813924 hash collisions in 13880876 relations
Msieve: matrix is 462992 x 463240 (125.6 MB)

Total sieving time: 11.32 hours.
Total relation processing time: 0.45 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,2400000,2400000,29,29,58,58,2.5,2.5,100000
total time: 11.77 hours.
 --------- CPU info (if available) ----------

15745696726082785761030779523873758778735086950631405227876971911156989281795370993215599311066355391913034537<110>

203620709236385827266419928602895446827412681<45>
77328562429293032074941586762299177146068262610310551977403790177<65>

Number: 46663_152
N=15745696726082785761030779523873758778735086950631405227876971911156989281795370993215599311066355391913034537
  ( 110 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=203620709236385827266419928602895446827412681 (pp45)
 r2=77328562429293032074941586762299177146068262610310551977403790177 (pp65)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 45.55 hours.
Scaled time: 21.50 units (timescale=0.472).
Factorization parameters were as follows:
name: 46663_152
n: 15745696726082785761030779523873758778735086950631405227876971911156989281795370993215599311066355391913034537
m: 2000000000000000000000000000000
deg: 5
c5: 175
c0: -44
skew: 0.76
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, 2400001)
Primes: RFBsize:189880, AFBsize:189466, largePrimes:7918447 encountered
Relations: rels:7927369, finalFF:448114
Max relations in full relation-set: 28
Initial matrix: 379413 x 448114 with sparse part having weight 48120728.
Pruned matrix : 354056 x 356017 with weight 35108498.
Total sieving time: 39.99 hours.
Total relation processing time: 0.38 hours.
Matrix solve time: 5.03 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,153,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 45.55 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

52741887201932449189966675575636064389669071230243083895140283552082454064592436345514785806933159360295226874178203392830272935453<131>

1092016169384849798120897210779304049877673274452365493<55>
48297716353085503445307835642388754394984414013051487482307443167425362155721<77>

Number: 46663_154
N=52741887201932449189966675575636064389669071230243083895140283552082454064592436345514785806933159360295226874178203392830272935453
  ( 131 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=1092016169384849798120897210779304049877673274452365493
 r2=48297716353085503445307835642388754394984414013051487482307443167425362155721
Version: 
Total time: 8.85 hours.
Scaled time: 21.11 units (timescale=2.387).
Factorization parameters were as follows:
n: 52741887201932449189966675575636064389669071230243083895140283552082454064592436345514785806933159360295226874178203392830272935453
m: 10000000000000000000000000000000
deg: 5
c5: 7
c0: -55
skew: 1.51
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1200000, 2000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 8032928
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 414630 x 414878
Total sieving time: 8.09 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 0.36 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,50,50,2.4,2.4,100000
total time: 8.85 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047004k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673797)
Calibrating delay using timer specific routine.. 5148.57 BogoMIPS (lpj=2574285)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672337)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672389)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

30126446942224599374723108632407551078384197415597531296302534156777173628577007643433952264201441997937407902630281128611<122>

234803378827784030361597153387592303<36>
310713995993218869665380397868638747<36>
412936009293891525760838697224581450103900217364471<51>

Number: 46663_158
N=30126446942224599374723108632407551078384197415597531296302534156777173628577007643433952264201441997937407902630281128611
  ( 122 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=234803378827784030361597153387592303 (pp36)
 r2=310713995993218869665380397868638747 (pp36)
 r3=412936009293891525760838697224581450103900217364471 (pp51)
Version: Msieve-1.39
Total time: 26.56 hours.
Scaled time: 68.55 units (timescale=2.581).
Factorization parameters were as follows:
n: 30126446942224599374723108632407551078384197415597531296302534156777173628577007643433952264201441997937407902630281128611
m: 50000000000000000000000000000000
deg: 5
c5: 112
c0: -275
skew: 1.20
type: snfs
lss: 1
rlim: 3300000
alim: 3300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1650000, 3050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 624870 x 625118
Total sieving time: 26.56 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,160,5,0,0,0,0,0,0,0,0,3300000,3300000,27,27,51,51,2.4,2.4,100000
total time: 26.56 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

809336858383139566622867419699960030326931970224425064723450442114644854447748573538049479488333355625649950862930760710263336733339554370467026054167<150>

260455141077573786525035422943583702088538753349314693<54>
3107394444335760734125359606663890296019575646343939677484645823076134984300128089687641614775019<97>

Number: n
N=809336858383139566622867419699960030326931970224425064723450442114644854447748573538049479488333355625649950862930760710263336733339554370467026054167
  ( 150 digits)
SNFS difficulty: 160 digits.
Divisors found:

Mon Feb 23 00:56:38 2009  prp54 factor: 260455141077573786525035422943583702088538753349314693
Mon Feb 23 00:56:38 2009  prp97 factor: 3107394444335760734125359606663890296019575646343939677484645823076134984300128089687641614775019
Mon Feb 23 00:56:38 2009  elapsed time 02:44:21 (Msieve 1.39 - dependency 2)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 21.59 hours.
Scaled time: 39.48 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_4_6_158_3
n: 809336858383139566622867419699960030326931970224425064723450442114644854447748573538049479488333355625649950862930760710263336733339554370467026054167
deg: 5
c5: 7
c0: -55
m: 100000000000000000000000000000000
skew: 1.51
type: snfs
rlim: 4000000
alim: 4000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
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 [2000000, 3200117)
Primes: RFBsize:283146, AFBsize:282788, largePrimes:16763038 encountered
Relations: rels:15061344, finalFF:470776
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1073168 hash collisions in 16406181 relations
Msieve: matrix is 798613 x 798861 (216.7 MB)

Total sieving time: 21.25 hours.
Total relation processing time: 0.34 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,4000000,4000000,28,28,56,56,2.5,2.5,100000
total time: 21.59 hours.
 --------- CPU info (if available) ----------

2580275579664640199882051701188664625342468990351153105006191445115546603589919103952610927<91>

13430269913018161973891911460679331665677<41>
192123881081759972441577844435514524860830594438251<51>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2182111048
Step 1 took 6910ms
********** Factor found in step 1: 13430269913018161973891911460679331665677
Found probable prime factor of 41 digits: 13430269913018161973891911460679331665677
Probable prime cofactor has 51 digits

GMP-ECM 6.2.1

466666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663<162>

2875802551489229275389845286190879<34>

162273542189120096933435105385323543745120089475806304724912872877238918245061625164527994822545703074883859629274728091025656697<129>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1917313492
Step 1 took 13819ms
Step 2 took 13032ms
********** Factor found in step 2: 2875802551489229275389845286190879
Found probable prime factor of 34 digits: 2875802551489229275389845286190879
Composite cofactor has 129 digits

GMP-ECM 6.2.1

162273542189120096933435105385323543745120089475806304724912872877238918245061625164527994822545703074883859629274728091025656697<129>

7961407472498715044312651769180597757613<40>
17841291452200529199647842314509698688099<41>
1142435201272643601345229374671734463684938243231<49>

Number: 46663_161
N=162273542189120096933435105385323543745120089475806304724912872877238918245061625164527994822545703074883859629274728091025656697
  ( 129 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=7961407472498715044312651769180597757613
 r2=17841291452200529199647842314509698688099
 r3=1142435201272643601345229374671734463684938243231
Version: 
Total time: 16.13 hours.
Scaled time: 38.51 units (timescale=2.387).
Factorization parameters were as follows:
n: 162273542189120096933435105385323543745120089475806304724912872877238918245061625164527994822545703074883859629274728091025656697
m: 100000000000000000000000000000000
deg: 5
c5: 140
c0: -11
skew: 0.60
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1800000, 3100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9428208
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 603820 x 604068
Total sieving time: 14.16 hours.
Total relation processing time: 0.61 hours.
Matrix solve time: 0.82 hours.
Time per square root: 0.54 hours.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
total time: 16.13 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047004k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673797)
Calibrating delay using timer specific routine.. 5148.57 BogoMIPS (lpj=2574285)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672337)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672389)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

16348943649166214292737652643263814277941627822291217784553123782884751424944854050196823665841822421413869<107>

34829683178143719100208863012159<32>
469396852263803644050747678050048937489138627551650080432575631558714868691<75>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1341912022
Step 1 took 8205ms
Step 2 took 8827ms
********** Factor found in step 2: 34829683178143719100208863012159
Found probable prime factor of 32 digits: 34829683178143719100208863012159
Probable prime cofactor has 75 digits

GMP-ECM 6.2.1

3931479921370401572591968548160629036787419264251614714967705700645885987082280258354394832912103341757933164841336703173265936534681269306374613872507722549845549<163>

75273344314006455047373618700306263254729554245011119<53>
52229377573155775722074013780922150979377281646505623065824363308585613892793884921603674014013584366953471971<110>

SNFS difficulty: 166 digits.
Divisors found:
 r1=75273344314006455047373618700306263254729554245011119 (pp53)
 r2=52229377573155775722074013780922150979377281646505623065824363308585613892793884921603674014013584366953471971 (pp110)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.917).
Factorization parameters were as follows:
n: 3931479921370401572591968548160629036787419264251614714967705700645885987082280258354394832912103341757933164841336703173265936534681269306374613872507722549845549
m: 1000000000000000000000000000000000
deg: 5
c5: 14
c0: -11
skew: 0.95
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
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: 52/52
Sieved rational special-q in [2050000, 3650001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 739970 x 740218
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,52,52,2.4,2.4,200000
total time: 29.00 hours.

Msieve-1.39

Opteron-2.6GHz; Linux x86_64

470163592047649654052183878170780651420152159509838512662315007116049296188292500269480513907272765013274279489634040695147043271937414658474881<144>

1043796167165768018697691187783<31>

450436212392205245158977097476905739315982037445676265753566615858125703057142741445006681401990315834878238498807<114>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2756841653
Step 1 took 11783ms
Step 2 took 11432ms
********** Factor found in step 2: 1043796167165768018697691187783
Found probable prime factor of 31 digits: 1043796167165768018697691187783
Composite cofactor has 114 digits

GMP-ECM 6.2.1

450436212392205245158977097476905739315982037445676265753566615858125703057142741445006681401990315834878238498807<114>

494708760820451125848952720900188160753421001266359<51>
910507854449915240799919859053471284297372043363584815488929473<63>

Number: 46663_166
N=450436212392205245158977097476905739315982037445676265753566615858125703057142741445006681401990315834878238498807
  ( 114 digits)
Divisors found:
 r1=494708760820451125848952720900188160753421001266359
 r2=910507854449915240799919859053471284297372043363584815488929473
Version: 
Total time: 15.97 hours.
Scaled time: 38.13 units (timescale=2.388).
Factorization parameters were as follows:
name: 46663_166
n: 450436212392205245158977097476905739315982037445676265753566615858125703057142741445006681401990315834878238498807
skew: 27512.07
# norm 2.14e+15
c5: 51660
c4: -2900960325
c3: -142057854067848
c2: 1898402704471809028
c1: 36240627074749100550306
c0: -188164729597955528825118040
# alpha -5.15
Y1: 438006036127
Y0: -6138978709709931512157
# Murphy_E 5.94e-10
# M 448558176564726215625748641011569023622740611486017860202758900290125331933431385049191181063798011377365875845011
type: gnfs
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.6
alambda: 2.6
qintsize: 70000
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [1400000, 2520001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9170106
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 539874 x 540122
Polynomial selection time: 1.15 hours.
Total sieving time: 13.07 hours.
Total relation processing time: 0.70 hours.
Matrix solve time: 0.66 hours.
Time per square root: 0.39 hours.
Prototype def-par.txt line would be:
gnfs,113,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2800000,2800000,27,27,52,52,2.6,2.6,70000
total time: 15.97 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047004k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673797)
Calibrating delay using timer specific routine.. 5148.57 BogoMIPS (lpj=2574285)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672337)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672389)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

466666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663<168>

19011604170792844575925477496114081<35>

24546411890039112735283532246090593965242266454661597228757806133149530566680832089355587701794240785601818656426814464057750533738823<134>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1597030230
Step 1 took 13734ms
Step 2 took 13471ms
********** Factor found in step 2: 19011604170792844575925477496114081
Found probable prime factor of 35 digits: 19011604170792844575925477496114081
Composite cofactor has 134 digits

GMP-ECM 6.2.1

24546411890039112735283532246090593965242266454661597228757806133149530566680832089355587701794240785601818656426814464057750533738823<134>

93578664829015994605866131061111227599540334869<47>
262307780677246760482479379009707031071807635692941044199126071101861313229393119295467<87>

Number: n
N=24546411890039112735283532246090593965242266454661597228757806133149530566680832089355587701794240785601818656426814464057750533738823
  ( 134 digits)
SNFS difficulty: 168 digits.
Divisors found:

Thu May 07 01:23:09 2009  prp47 factor: 93578664829015994605866131061111227599540334869
Thu May 07 01:23:09 2009  prp87 factor: 262307780677246760482479379009707031071807635692941044199126071101861313229393119295467
Thu May 07 01:23:09 2009  elapsed time 01:28:44 (Msieve 1.39 - dependency 5)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 54.29 hours.
Scaled time: 142.63 units (timescale=2.627).
Factorization parameters were as follows:
name: KA_4_6_166_3
n: 24546411890039112735283532246090593965242266454661597228757806133149530566680832089355587701794240785601818656426814464057750533738823
m: 2000000000000000000000000000000000
deg: 5
c5: 175
c0: -44
skew: 0.76
type: snfs
lss: 1
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, 5450801)
Primes: RFBsize:315948, AFBsize:315477, largePrimes:17159269 encountered
Relations: rels:17269830, finalFF:509829
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2218141 hash collisions in 19121788 relations
Msieve: matrix is 780536 x 780784 (206.2 MB)

Total sieving time: 53.44 hours.
Total relation processing time: 0.85 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,4500000,4500000,28,28,56,56,2.4,2.4,100000
total time: 54.29 hours.
 --------- CPU info (if available) ----------

10440473024812813910784256169406112481945315164487396088488010879249685174451988965209380312566607654421939858109611857042610749685869649013723<143>

35579941592008772423172650690055857<35>
293437047888738978141986455944132593215288834033455785264598594536814464364859742626924248414572744526052939<108>

GMP-ECM 6.2.3 [powered by GMP 4.3.1] [ECM]
Input number is 10440473024812813910784256169406112481945315164487396088488010879249685174451988965209380312566607654421939858109611857042610749685869649013723 (143 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=7299964278
Step 1 took 12030ms
Step 2 took 5520ms
********** Factor found in step 2: 35579941592008772423172650690055857
Found probable prime factor of 35 digits: 35579941592008772423172650690055857
Probable prime cofactor 293437047888738978141986455944132593215288834033455785264598594536814464364859742626924248414572744526052939 has 108 digits

Core 2 Quad Q6700

254370124156240671202812752155741378987683216895409000814166090245796034042717101721340799459863210648805523320198750279580020389582380580948658842605033512355392855579<168>

55831386470652144487827908959483409<35>
4556041686157135365348400676745137231156165354308554677850364179698731841758069758997276163618396665365348456597581960663884011681131<133>

Number: 46663_173
N=254370124156240671202812752155741378987683216895409000814166090245796034042717101721340799459863210648805523320198750279580020389582380580948658842605033512355392855579
  ( 168 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=55831386470652144487827908959483409 (pp35)
 r2=4556041686157135365348400676745137231156165354308554677850364179698731841758069758997276163618396665365348456597581960663884011681131 (pp133)
Version: Msieve-1.40
Total time: 82.26 hours.
Scaled time: 143.05 units (timescale=1.739).
Factorization parameters were as follows:
n: 254370124156240671202812752155741378987683216895409000814166090245796034042717101721340799459863210648805523320198750279580020389582380580948658842605033512355392855579
m: 50000000000000000000000000000000000
deg: 5
c5: 112
c0: -275
skew: 1.20
type: snfs
lss: 1
rlim: 5900000
alim: 5900000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor 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, 7050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1233796 x 1234022
Total sieving time: 79.56 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 2.05 hours.
Time per square root: 0.48 hours.
Prototype def-par.txt line would be:
snfs,175.000,5,0,0,0,0,0,0,0,0,5900000,5900000,28,28,52,52,2.5,2.5,100000
total time: 82.26 hours.

GGNFS, Msieve

449709878195701584386174967250311513035129499981742144446958019230384006193341985261455961602242379096381403684376538843151349037083409207281751631180525594400157<162>

35649765071297204303059102093912638610181<41>
12614665967540351743794209846932883993018559537903610552871289307838723005601931981134032028622290592599905542068365984697<122>

Number: 6
N=449709878195701584386174967250311513035129499981742144446958019230384006193341985261455961602242379096381403684376538843151349037083409207281751631180525594400157
  ( 162 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=35649765071297204303059102093912638610181 (pp41)
 r2=12614665967540351743794209846932883993018559537903610552871289307838723005601931981134032028622290592599905542068365984697 (pp122)
Version: Msieve-1.40
Total time: 71.64 hours.
Scaled time: 124.59 units (timescale=1.739).
Factorization parameters were as follows:
n: 449709878195701584386174967250311513035129499981742144446958019230384006193341985261455961602242379096381403684376538843151349037083409207281751631180525594400157
m: 20000000000000000000000000000000000
deg: 5
c5: 4375
c0: -11
skew: 0.30
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [2900000, 6400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1118892 x 1119117
Total sieving time: 69.34 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.67 hours.
Time per square root: 0.47 hours.
Prototype def-par.txt line would be:
snfs,175.000,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,52,52,2.5,2.5,100000
total time: 71.64 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

2226973834101272806078695268331691820297865666351981094067120577496103583990954688153969172760108806003182447919<112>

39458651391662737560426731250115138746054521972087131<53>
56438163889499086885495949504388402747909851042790704623549<59>

Number: 46663_175
N=2226973834101272806078695268331691820297865666351981094067120577496103583990954688153969172760108806003182447919
  ( 112 digits)
Divisors found:
 r1=39458651391662737560426731250115138746054521972087131
 r2=56438163889499086885495949504388402747909851042790704623549
Version: 
Total time: 11.13 hours.
Scaled time: 25.91 units (timescale=2.327).
Factorization parameters were as follows:
name: 46663_175
n: 2226973834101272806078695268331691820297865666351981094067120577496103583990954688153969172760108806003182447919
skew: 18558.79
# norm 2.18e+15
c5: 48300
c4: 154232447
c3: -77704578312477
c2: 1515535832638192026
c1: 6186317058615615263235
c0: -184906614236828287925975
# alpha -5.68
Y1: 1058921340037
Y0: -2151559993028487286086
# Murphy_E 8.38e-10
# M 1641793509583862624017536670586366418670310473889377820970417999873360158999715871821814994386591398598360466243
type: gnfs
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.6
alambda: 2.6
qintsize: 60000
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved algebraic special-q in [1200000, 1980001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 8230458
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 408250 x 408498
Polynomial selection time: 0.93 hours.
Total sieving time: 8.99 hours.
Total relation processing time: 0.52 hours.
Matrix solve time: 0.37 hours.
Time per square root: 0.32 hours.
Prototype def-par.txt line would be:
gnfs,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2400000,2400000,27,27,51,51,2.6,2.6,60000
total time: 11.13 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047004k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673797)
Calibrating delay using timer specific routine.. 5148.57 BogoMIPS (lpj=2574285)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672337)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672389)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

2559909952022405385120194638291644678640122514218411849894845390371155072164346101895383476129041747426568695036367699007221390778707364583181738665862006514433246807097<169>

1873029647900626663897051715896004667994546517<46>

1366721533154407955956436839416332049297746903311731715751791122955017556693619888940113563594389144852027716553223819814741<124>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1203199210
Step 1 took 15831ms
Step 2 took 6442ms
********** Factor found in step 2: 1873029647900626663897051715896004667994546517
Found probable prime factor of 46 digits: 1873029647900626663897051715896004667994546517
Composite cofactor 1366721533154407955956436839416332049297746903311731715751791122955017556693619888940113563594389144852027716553223819814741 has 124 digits

GMP-ECM 6.2.3

1366721533154407955956436839416332049297746903311731715751791122955017556693619888940113563594389144852027716553223819814741<124>

1032176315260017523137277974769842396748155155771<49>
1324116348097092794440505057392597887989979051156598513402340588670861905071<76>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=33700208
Step 1 took 11568ms
Step 2 took 5052ms
********** Factor found in step 2: 1032176315260017523137277974769842396748155155771
Found probable prime factor of 49 digits: 1032176315260017523137277974769842396748155155771
Probable prime cofactor 1324116348097092794440505057392597887989979051156598513402340588670861905071 has 76 digits

GMP-ECM 6.2.3

34825361363572335223869295574754607283871345631241974217369960033870522390884780702119498110179587464316090614929052536985475900004401493129419133367445647588227<161>

50561586717234264857125077258533124983<38>
114242105628768667708127808930236040463<39>
6029047951206297536882792111625609852881384252497492998507875034083835827207110127963<85>

N=34825361363572335223869295574754607283871345631241974217369960033870522390884780702119498110179587464316090614929052536985475900004401493129419133367445647588227
  ( 161 digits)
SNFS difficulty: 178 digits.
Divisors found:
 r1=50561586717234264857125077258533124983 (pp38)
 r2=114242105628768667708127808930236040463 (pp39)
 r3=6029047951206297536882792111625609852881384252497492998507875034083835827207110127963 (pp85)
Version: Msieve v. 1.47
Total time:
Scaled time: 11.21 units (timescale=1.778).
Factorization parameters were as follows:
n: 34825361363572335223869295574754607283871345631241974217369960033870522390884780702119498110179587464316090614929052536985475900004401493129419133367445647588227
m: 100000000000000000000000000000000000
deg: 5
c5: 1400
c0: -11
skew: 0.38
type: snfs
lss: 1
rlim: 6500000
alim: 6500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3250000, 8850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1545013 x 1545261
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,178.000,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,53,53,2.5,2.5,100000
total time:

690771684743714978645320682088321813718997153511696898413475360037367030196516926562740020820917616057075837660839665365100554464351158348712046918347<150>

23799433079600778229934921763780881793552651407563<50>
29024711741381626029990446903720536868320133489810626190812151870625648854354608130057207977791405569<101>

N=690771684743714978645320682088321813718997153511696898413475360037367030196516926562740020820917616057075837660839665365100554464351158348712046918347
  ( 150 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=23799433079600778229934921763780881793552651407563 (pp50)
 r2=29024711741381626029990446903720536868320133489810626190812151870625648854354608130057207977791405569 (pp101)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 95.38 hours.
Scaled time: 183.32 units (timescale=1.922).
Factorization parameters were as follows:
n: 690771684743714978645320682088321813718997153511696898413475360037367030196516926562740020820917616057075837660839665365100554464351158348712046918347
m: 1000000000000000000000000000000000000
deg: 5
c5: 14
c0: -11
skew: 0.95
# Murphy_E = 1.14e-10
type: snfs
lss: 1
rlim: 7300000
alim: 7300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7300000/7300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3650000, 8450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1283457 x 1283691
Total sieving time: 92.78 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 1.85 hours.
Time per square root: 0.56 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7300000,7300000,28,28,53,53,2.5,2.5,100000
total time: 95.38 hours.
 --------- CPU info (if available) ----------

4159806142053074031573700452392161236415986016549109996176647553795344970350891965786553545924690564087404816285963662346351650506547266668033705663499892101<157>

194859409621695996123189838550322535528703177<45>
21347730397669816996237856980637671103928491788747724167281839626736671717094302899144423454638593560895279240413<113>

N=4159806142053074031573700452392161236415986016549109996176647553795344970350891965786553545924690564087404816285963662346351650506547266668033705663499892101
  ( 157 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=194859409621695996123189838550322535528703177 (pp45)
 r2=21347730397669816996237856980637671103928491788747724167281839626736671717094302899144423454638593560895279240413 (pp113)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 109.27 hours.
Scaled time: 210.24 units (timescale=1.924).
Factorization parameters were as follows:
n: 4159806142053074031573700452392161236415986016549109996176647553795344970350891965786553545924690564087404816285963662346351650506547266668033705663499892101
m: 1000000000000000000000000000000000000
deg: 5
c5: 140
c0: -11
skew: 0.60
# Murphy_E = 9.806e-11
type: snfs
lss: 1
rlim: 7600000
alim: 7600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7600000/7600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3800000, 9400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1351102 x 1351332
Total sieving time: 107.24 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 1.75 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,182.000,5,0,0,0,0,0,0,0,0,7600000,7600000,28,28,53,53,2.5,2.5,100000
total time: 109.27 hours.
 --------- CPU info (if available) ----------

10310367125031647945714390242767499095116049514333853010073064674401994262351522888045372554631209551427233225790726826203886164964072609253205204857372434167<158>

704022117707727015272241135101027192563526207<45>
14644947744826350092422591605833784247984665277409732560950354986250956957567333964049028759648345858677008510281<113>

N=10310367125031647945714390242767499095116049514333853010073064674401994262351522888045372554631209551427233225790726826203886164964072609253205204857372434167
  ( 158 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=704022117707727015272241135101027192563526207 (pp45)
 r2=14644947744826350092422591605833784247984665277409732560950354986250956957567333964049028759648345858677008510281 (pp113)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 168.21 hours.
Scaled time: 323.63 units (timescale=1.924).
Factorization parameters were as follows:
n: 10310367125031647945714390242767499095116049514333853010073064674401994262351522888045372554631209551427233225790726826203886164964072609253205204857372434167
m: 1000000000000000000000000000000000000
deg: 5
c5: 1400
c0: -11
skew: 0.38
# Murphy_E = 6.564e-11
type: snfs
lss: 1
rlim: 7900000
alim: 7900000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7900000/7900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3950000, 12750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1680873 x 1681097
Total sieving time: 164.97 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 2.71 hours.
Time per square root: 0.32 hours.
Prototype def-par.txt line would be:
snfs,183.000,5,0,0,0,0,0,0,0,0,7900000,7900000,28,28,53,53,2.5,2.5,100000
total time: 168.21 hours.
 --------- CPU info (if available) ----------

1097499371109616144687480130255436530136473022993758299688610613767066054390266861951195376608553093621303439678172668029074501572435992054835995990594903493547782709<166>

1938422867787121015016752013189925628575916201507869942389184676871112917<73>
566181605339039113187061656056291160457151057404461618064815006016474040711652425600015889377<93>

N=1097499371109616144687480130255436530136473022993758299688610613767066054390266861951195376608553093621303439678172668029074501572435992054835995990594903493547782709
  ( 166 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=1938422867787121015016752013189925628575916201507869942389184676871112917 (pp73)
 r2=566181605339039113187061656056291160457151057404461618064815006016474040711652425600015889377 (pp93)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 165.55 hours.
Scaled time: 310.74 units (timescale=1.877).
Factorization parameters were as follows:
n: 1097499371109616144687480130255436530136473022993758299688610613767066054390266861951195376608553093621303439678172668029074501572435992054835995990594903493547782709
m: 1000000000000000000000000000000000000
deg: 5
c5: 14000
c0: -11
skew: 0.24
# Murphy_E = 5.836e-11
type: snfs
lss: 1
rlim: 8200000
alim: 8200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 8200000/8200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4100000, 12500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1837277 x 1837506
Total sieving time: 161.64 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 3.28 hours.
Time per square root: 0.40 hours.
Prototype def-par.txt line would be:
snfs,184.000,5,0,0,0,0,0,0,0,0,8200000,8200000,28,28,54,54,2.5,2.5,100000
total time: 165.55 hours.
 --------- CPU info (if available) ----------

46666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663<185>

4668890605796314894638351907992049<34>

9995236686147910038267303546468007143025885328917020162545384580246400396068697926861790973608564543295543608436375160287050653974281499069764351921687<151>

GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 46666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663 (185 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3831152227
Step 1 took 6335ms
Step 2 took 3490ms
********** Factor found in step 2: 4668890605796314894638351907992049
Found probable prime factor of 34 digits: 4668890605796314894638351907992049
Composite cofactor 9995236686147910038267303546468007143025885328917020162545384580246400396068697926861790973608564543295543608436375160287050653974281499069764351921687 has 151 digits

Core 2 Quad Q6700

9995236686147910038267303546468007143025885328917020162545384580246400396068697926861790973608564543295543608436375160287050653974281499069764351921687<151>

95788442452041629516176850860404929687399070504793730742462900862597056859<74>
104347000851926600268083586497588123479577283370775388436009495361318241218293<78>

N=9995236686147910038267303546468007143025885328917020162545384580246400396068697926861790973608564543295543608436375160287050653974281499069764351921687
  ( 151 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=95788442452041629516176850860404929687399070504793730742462900862597056859 (pp74)
 r2=104347000851926600268083586497588123479577283370775388436009495361318241218293 (pp78)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 147.42 hours.
Scaled time: 275.09 units (timescale=1.866).
Factorization parameters were as follows:
n: 9995236686147910038267303546468007143025885328917020162545384580246400396068697926861790973608564543295543608436375160287050653974281499069764351921687
m: 10000000000000000000000000000000000000
deg: 5
c5: 7
c0: -55
skew: 1.51
# Murphy_E = 6.974e-11
type: snfs
lss: 1
rlim: 8800000
alim: 8800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 8800000/8800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4400000, 11600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1540975 x 1541201
Total sieving time: 144.82 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 2.29 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,185.000,5,0,0,0,0,0,0,0,0,8800000,8800000,28,28,54,54,2.5,2.5,100000
total time: 147.42 hours.
 --------- CPU info (if available) ----------

93277366913185422080085282164034912385901792257978546205609967352921580385102271970151242587780664934372709707508828036511426477446865214204810447065094276767272969551602371910187221<182>

472028819964297438740806605192579205630100803128437<51>
24871243197390234627509331406490531115713301860364091<53>
7945299421360233896153427606410291300881548381778500398649648806810791075311763<79>

Number: 46663_185
N=93277366913185422080085282164034912385901792257978546205609967352921580385102271970151242587780664934372709707508828036511426477446865214204810447065094276767272969551602371910187221
  ( 182 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=472028819964297438740806605192579205630100803128437
 r2=24871243197390234627509331406490531115713301860364091
 r3=7945299421360233896153427606410291300881548381778500398649648806810791075311763
Version: 
Total time: 280.59 hours.
Scaled time: 564.54 units (timescale=2.012).
Factorization parameters were as follows:
n: 93277366913185422080085282164034912385901792257978546205609967352921580385102271970151242587780664934372709707508828036511426477446865214204810447065094276767272969551602371910187221
m: 10000000000000000000000000000000000000
deg: 5
c5: 14
c0: -11
skew: 0.95
type: snfs
lss: 1
rlim: 8900000
alim: 8900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5Factor base limits: 8900000/8900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4450000, 7350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1165764 x 1166012
Total sieving time: 280.59 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8900000,8900000,28,28,54,54,2.5,2.5,100000
total time: 280.59 hours.
 --------- CPU info (if available) ----------

466390714365062884657097162085593177629441602848793693421456476151822583944869235318632908469100354202183662921781981130812956461120511654427396968551926095105774943147<168>

81587351177246931808829921783204438678660513<44>
16432171155917841795004764407337158934088104982128271<53>
347882123089024061767459314324449251520822987317858928363099878926166789<72>

GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 466390714365062884657097162085593177629441602848793693421456476151822583944869235318632908469100354202183662921781981130812956461120511654427396968551926095105774943147 (168 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1753713787
Step 1 took 29401ms
Step 2 took 10036ms
********** Factor found in step 2: 81587351177246931808829921783204438678660513
Found probable prime factor of 44 digits: 81587351177246931808829921783204438678660513
Composite cofactor 5716458588682921437182281504268840805422884691000483731325860977207772682245604392003940031215173869182498214843581138191819 has 124 digits

Number: 46663_186
N=5716458588682921437182281504268840805422884691000483731325860977207772682245604392003940031215173869182498214843581138191819
  ( 124 digits)
Divisors found:
 r1=16432171155917841795004764407337158934088104982128271
 r2=347882123089024061767459314324449251520822987317858928363099878926166789
Version: 
Total time: 32.09 hours.
Scaled time: 168.66 units (timescale=5.255).
Factorization parameters were as follows:
name: 46663_186
n: 5716458588682921437182281504268840805422884691000483731325860977207772682245604392003940031215173869182498214843581138191819
skew: 54466.46
# norm 2.35e+17
c5: 290160
c4: 29048152556
c3: 7465193076608554
c2: -104625753597441248197
c1: -9510343654402460053120290
c0: -2966949268902261037669150800
# alpha -6.80
Y1: 26971260409709
Y0: -455929181026986439526177
# Murphy_E 1.69e-10
# M 928489029235122539236190024114053172427260063410851181547904251420873754785546829307248432595676039702797061936652880587042
type: gnfs
rlim: 6800000
alim: 6800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved algebraic special-q in [3400000, 6400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18084576
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1051646 x 1051894
Polynomial selection time: 4.53 hours.
Total sieving time: 24.66 hours.
Total relation processing time: 1.32 hours.
Matrix solve time: 1.18 hours.
Time per square root: 0.42 hours.
Prototype def-par.txt line would be:
gnfs,123,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,6800000,6800000,28,28,54,54,2.5,2.5,100000
total time: 32.09 hours.
 --------- CPU info (if available) ----------

GMP-ECM v6.4.4 / GGNFS / Msieve v1.39

Core i7-4930K

10403073269380435659217435722416878763043503580539961090425309352674048017159051352927156022558823988638055798897535094176713137886813798371575581640816445273<158>

26652554915271467103379202682974582625564290043531906412139515776779<68>
390321802260677421820518166157093548649183312185532121026513917880913373646851390826844587<90>

Thu Jul 27 01:03:27 2017  Msieve v. 1.53 (SVN Unversioned directory)
Thu Jul 27 01:03:27 2017  random seeds: 58e57fd7 a97f1ad9
Thu Jul 27 01:03:27 2017  factoring 10403073269380435659217435722416878763043503580539961090425309352674048017159051352927156022558823988638055798897535094176713137886813798371575581640816445273 (158 digits)
Thu Jul 27 01:03:27 2017  no P-1/P+1/ECM available, skipping
Thu Jul 27 01:03:27 2017  commencing number field sieve (158-digit input)
Thu Jul 27 01:03:27 2017  R0: -10000000000000000000000000000000000000
Thu Jul 27 01:03:27 2017  R1: 1
Thu Jul 27 01:03:27 2017  A0: -11
Thu Jul 27 01:03:27 2017  A1: 0
Thu Jul 27 01:03:27 2017  A2: 0
Thu Jul 27 01:03:27 2017  A3: 0
Thu Jul 27 01:03:27 2017  A4: 0
Thu Jul 27 01:03:27 2017  A5: 1400
Thu Jul 27 01:03:27 2017  skew 0.38, size 2.534e-13, alpha 0.877, combined = 3.657e-11 rroots = 1
Thu Jul 27 01:03:27 2017  
Thu Jul 27 01:03:27 2017  commencing relation filtering
Thu Jul 27 01:03:27 2017  estimated available RAM is 15929.4 MB
Thu Jul 27 01:03:27 2017  commencing duplicate removal, pass 1
Thu Jul 27 01:06:10 2017  found 3612414 hash collisions in 22691076 relations
Thu Jul 27 01:06:29 2017  added 268 free relations
Thu Jul 27 01:06:29 2017  commencing duplicate removal, pass 2
Thu Jul 27 01:06:35 2017  found 3351730 duplicates and 19339614 unique relations
Thu Jul 27 01:06:35 2017  memory use: 106.6 MB
Thu Jul 27 01:06:35 2017  reading ideals above 720000
Thu Jul 27 01:06:35 2017  commencing singleton removal, initial pass
Thu Jul 27 01:08:33 2017  memory use: 689.0 MB
Thu Jul 27 01:08:33 2017  reading all ideals from disk
Thu Jul 27 01:08:34 2017  memory use: 620.5 MB
Thu Jul 27 01:08:35 2017  keeping 21493686 ideals with weight <= 200, target excess is 116139
Thu Jul 27 01:08:35 2017  commencing in-memory singleton removal
Thu Jul 27 01:08:36 2017  begin with 19339614 relations and 21493686 unique ideals
Thu Jul 27 01:08:45 2017  reduce to 7929769 relations and 7777565 ideals in 20 passes
Thu Jul 27 01:08:45 2017  max relations containing the same ideal: 105
Thu Jul 27 01:08:47 2017  removing 169461 relations and 160720 ideals in 8741 cliques
Thu Jul 27 01:08:47 2017  commencing in-memory singleton removal
Thu Jul 27 01:08:47 2017  begin with 7760308 relations and 7777565 unique ideals
Thu Jul 27 01:08:50 2017  reduce to 7756944 relations and 7613474 ideals in 8 passes
Thu Jul 27 01:08:50 2017  max relations containing the same ideal: 103
Thu Jul 27 01:08:52 2017  removing 122705 relations and 113964 ideals in 8741 cliques
Thu Jul 27 01:08:52 2017  commencing in-memory singleton removal
Thu Jul 27 01:08:53 2017  begin with 7634239 relations and 7613474 unique ideals
Thu Jul 27 01:08:56 2017  reduce to 7632470 relations and 7497735 ideals in 8 passes
Thu Jul 27 01:08:56 2017  max relations containing the same ideal: 103
Thu Jul 27 01:08:57 2017  relations with 0 large ideals: 2882
Thu Jul 27 01:08:57 2017  relations with 1 large ideals: 714
Thu Jul 27 01:08:57 2017  relations with 2 large ideals: 14341
Thu Jul 27 01:08:57 2017  relations with 3 large ideals: 120434
Thu Jul 27 01:08:57 2017  relations with 4 large ideals: 536948
Thu Jul 27 01:08:57 2017  relations with 5 large ideals: 1388163
Thu Jul 27 01:08:57 2017  relations with 6 large ideals: 2228351
Thu Jul 27 01:08:57 2017  relations with 7+ large ideals: 3340637
Thu Jul 27 01:08:57 2017  commencing 2-way merge
Thu Jul 27 01:09:00 2017  reduce to 4453017 relation sets and 4318283 unique ideals
Thu Jul 27 01:09:00 2017  ignored 1 oversize relation sets
Thu Jul 27 01:09:00 2017  commencing full merge
Thu Jul 27 01:09:48 2017  memory use: 516.3 MB
Thu Jul 27 01:09:48 2017  found 2260841 cycles, need 2256483
Thu Jul 27 01:09:49 2017  weight of 2256483 cycles is about 158074626 (70.05/cycle)
Thu Jul 27 01:09:49 2017  distribution of cycle lengths:
Thu Jul 27 01:09:49 2017  1 relations: 336388
Thu Jul 27 01:09:49 2017  2 relations: 300110
Thu Jul 27 01:09:49 2017  3 relations: 277581
Thu Jul 27 01:09:49 2017  4 relations: 237974
Thu Jul 27 01:09:49 2017  5 relations: 201440
Thu Jul 27 01:09:49 2017  6 relations: 165901
Thu Jul 27 01:09:49 2017  7 relations: 137215
Thu Jul 27 01:09:49 2017  8 relations: 111518
Thu Jul 27 01:09:49 2017  9 relations: 89726
Thu Jul 27 01:09:49 2017  10+ relations: 398630
Thu Jul 27 01:09:49 2017  heaviest cycle: 28 relations
Thu Jul 27 01:09:49 2017  commencing cycle optimization
Thu Jul 27 01:09:52 2017  start with 13052783 relations
Thu Jul 27 01:10:04 2017  pruned 284825 relations
Thu Jul 27 01:10:04 2017  memory use: 438.4 MB
Thu Jul 27 01:10:04 2017  distribution of cycle lengths:
Thu Jul 27 01:10:04 2017  1 relations: 336388
Thu Jul 27 01:10:04 2017  2 relations: 306473
Thu Jul 27 01:10:04 2017  3 relations: 286678
Thu Jul 27 01:10:04 2017  4 relations: 242310
Thu Jul 27 01:10:04 2017  5 relations: 204679
Thu Jul 27 01:10:04 2017  6 relations: 166532
Thu Jul 27 01:10:04 2017  7 relations: 136878
Thu Jul 27 01:10:04 2017  8 relations: 109852
Thu Jul 27 01:10:04 2017  9 relations: 88359
Thu Jul 27 01:10:04 2017  10+ relations: 378334
Thu Jul 27 01:10:04 2017  heaviest cycle: 28 relations
Thu Jul 27 01:10:06 2017  RelProcTime: 399
Thu Jul 27 01:10:06 2017  elapsed time 00:06:39
Thu Jul 27 01:10:06 2017 LatSieveTime: 1462.37
Thu Jul 27 01:10:06 2017 -> Running matrix solving step ...
Thu Jul 27 01:10:06 2017 -> ./msieve -s 46663_187/46663_187.dat -l 46663_187/46663_187.log -i 46663_187/46663_187.ini -nf 46663_187/46663_187.fb -t 3 -nc2
Thu Jul 27 01:10:06 2017  
Thu Jul 27 01:10:06 2017  
Thu Jul 27 01:10:06 2017  Msieve v. 1.53 (SVN Unversioned directory)
Thu Jul 27 01:10:06 2017  random seeds: 9b73f5fd 2cbcad52
Thu Jul 27 01:10:06 2017  factoring 10403073269380435659217435722416878763043503580539961090425309352674048017159051352927156022558823988638055798897535094176713137886813798371575581640816445273 (158 digits)
Thu Jul 27 01:10:07 2017  no P-1/P+1/ECM available, skipping
Thu Jul 27 01:10:07 2017  commencing number field sieve (158-digit input)
Thu Jul 27 01:10:07 2017  R0: -10000000000000000000000000000000000000
Thu Jul 27 01:10:07 2017  R1: 1
Thu Jul 27 01:10:07 2017  A0: -11
Thu Jul 27 01:10:07 2017  A1: 0
Thu Jul 27 01:10:07 2017  A2: 0
Thu Jul 27 01:10:07 2017  A3: 0
Thu Jul 27 01:10:07 2017  A4: 0
Thu Jul 27 01:10:07 2017  A5: 1400
Thu Jul 27 01:10:07 2017  skew 0.38, size 2.534e-13, alpha 0.877, combined = 3.657e-11 rroots = 1
Thu Jul 27 01:10:07 2017  
Thu Jul 27 01:10:07 2017  commencing linear algebra
Thu Jul 27 01:10:07 2017  read 2256483 cycles
Thu Jul 27 01:10:10 2017  cycles contain 7432439 unique relations
Thu Jul 27 01:10:44 2017  read 7432439 relations
Thu Jul 27 01:10:49 2017  using 20 quadratic characters above 4294917295
Thu Jul 27 01:11:18 2017  building initial matrix
Thu Jul 27 01:12:01 2017  memory use: 903.4 MB
Thu Jul 27 01:12:02 2017  read 2256483 cycles
Thu Jul 27 01:12:02 2017  matrix is 2256306 x 2256483 (677.2 MB) with weight 198677634 (88.05/col)
Thu Jul 27 01:12:02 2017  sparse part has weight 152699842 (67.67/col)
Thu Jul 27 01:12:15 2017  filtering completed in 2 passes
Thu Jul 27 01:12:15 2017  matrix is 2254502 x 2254679 (677.0 MB) with weight 198614169 (88.09/col)
Thu Jul 27 01:12:15 2017  sparse part has weight 152677673 (67.72/col)
Thu Jul 27 01:12:20 2017  matrix starts at (0, 0)
Thu Jul 27 01:12:20 2017  matrix is 2254502 x 2254679 (677.0 MB) with weight 198614169 (88.09/col)
Thu Jul 27 01:12:20 2017  sparse part has weight 152677673 (67.72/col)
Thu Jul 27 01:12:20 2017  saving the first 48 matrix rows for later
Thu Jul 27 01:12:20 2017  matrix includes 64 packed rows
Thu Jul 27 01:12:20 2017  matrix is 2254454 x 2254679 (641.5 MB) with weight 158015789 (70.08/col)
Thu Jul 27 01:12:20 2017  sparse part has weight 145621424 (64.59/col)
Thu Jul 27 01:12:20 2017  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Thu Jul 27 01:12:25 2017  commencing Lanczos iteration (3 threads)
Thu Jul 27 01:12:25 2017  memory use: 519.4 MB
Thu Jul 27 01:12:31 2017  linear algebra at 0.1%, ETA 2h 4m
Thu Jul 27 01:12:34 2017  checkpointing every 910000 dimensions
Thu Jul 27 03:28:31 2017  lanczos halted after 35656 iterations (dim = 2254452)
Thu Jul 27 03:28:32 2017  recovered 39 nontrivial dependencies
Thu Jul 27 03:28:32 2017  BLanczosTime: 8305
Thu Jul 27 03:28:32 2017  elapsed time 02:18:26
Thu Jul 27 03:28:32 2017 -> Running square root step ...
Thu Jul 27 03:28:32 2017 -> ./msieve -s 46663_187/46663_187.dat -l 46663_187/46663_187.log -i 46663_187/46663_187.ini -nf 46663_187/46663_187.fb -t 3 -nc3
Thu Jul 27 03:28:32 2017  
Thu Jul 27 03:28:32 2017  
Thu Jul 27 03:28:32 2017  Msieve v. 1.53 (SVN Unversioned directory)
Thu Jul 27 03:28:32 2017  random seeds: 99bd1db5 9cf3a435
Thu Jul 27 03:28:32 2017  factoring 10403073269380435659217435722416878763043503580539961090425309352674048017159051352927156022558823988638055798897535094176713137886813798371575581640816445273 (158 digits)
Thu Jul 27 03:28:33 2017  no P-1/P+1/ECM available, skipping
Thu Jul 27 03:28:33 2017  commencing number field sieve (158-digit input)
Thu Jul 27 03:28:33 2017  R0: -10000000000000000000000000000000000000
Thu Jul 27 03:28:33 2017  R1: 1
Thu Jul 27 03:28:33 2017  A0: -11
Thu Jul 27 03:28:33 2017  A1: 0
Thu Jul 27 03:28:33 2017  A2: 0
Thu Jul 27 03:28:33 2017  A3: 0
Thu Jul 27 03:28:33 2017  A4: 0
Thu Jul 27 03:28:33 2017  A5: 1400
Thu Jul 27 03:28:33 2017  skew 0.38, size 2.534e-13, alpha 0.877, combined = 3.657e-11 rroots = 1
Thu Jul 27 03:28:33 2017  
Thu Jul 27 03:28:33 2017  commencing square root phase
Thu Jul 27 03:28:33 2017  reading relations for dependency 1
Thu Jul 27 03:28:33 2017  read 1127044 cycles
Thu Jul 27 03:28:34 2017  cycles contain 3717680 unique relations
Thu Jul 27 03:28:52 2017  read 3717680 relations
Thu Jul 27 03:29:03 2017  multiplying 3717680 relations
Thu Jul 27 03:30:56 2017  multiply complete, coefficients have about 120.38 million bits
Thu Jul 27 03:30:56 2017  initial square root is modulo 437297461
Thu Jul 27 03:33:15 2017  GCD is N, no factor found
Thu Jul 27 03:33:15 2017  reading relations for dependency 2
Thu Jul 27 03:33:15 2017  read 1126982 cycles
Thu Jul 27 03:33:17 2017  cycles contain 3713758 unique relations
Thu Jul 27 03:33:34 2017  read 3713758 relations
Thu Jul 27 03:33:45 2017  multiplying 3713758 relations
Thu Jul 27 03:35:36 2017  multiply complete, coefficients have about 120.26 million bits
Thu Jul 27 03:35:37 2017  initial square root is modulo 428287711
Thu Jul 27 03:37:56 2017  Newton iteration failed to converge
Thu Jul 27 03:37:56 2017  algebraic square root failed
Thu Jul 27 03:37:56 2017  reading relations for dependency 3
Thu Jul 27 03:37:57 2017  read 1127608 cycles
Thu Jul 27 03:37:58 2017  cycles contain 3715546 unique relations
Thu Jul 27 03:38:16 2017  read 3715546 relations
Thu Jul 27 03:38:26 2017  multiplying 3715546 relations
Thu Jul 27 03:40:17 2017  multiply complete, coefficients have about 120.31 million bits
Thu Jul 27 03:40:18 2017  initial square root is modulo 432339311
Thu Jul 27 03:42:37 2017  Newton iteration failed to converge
Thu Jul 27 03:42:37 2017  algebraic square root failed
Thu Jul 27 03:42:37 2017  reading relations for dependency 4
Thu Jul 27 03:42:37 2017  read 1126631 cycles
Thu Jul 27 03:42:38 2017  cycles contain 3715556 unique relations
Thu Jul 27 03:42:56 2017  read 3715556 relations
Thu Jul 27 03:43:07 2017  multiplying 3715556 relations
Thu Jul 27 03:44:58 2017  multiply complete, coefficients have about 120.32 million bits
Thu Jul 27 03:44:58 2017  initial square root is modulo 432584221
Thu Jul 27 03:47:18 2017  GCD is N, no factor found
Thu Jul 27 03:47:18 2017  reading relations for dependency 5
Thu Jul 27 03:47:18 2017  read 1127725 cycles
Thu Jul 27 03:47:19 2017  cycles contain 3714226 unique relations
Thu Jul 27 03:47:37 2017  read 3714226 relations
Thu Jul 27 03:47:48 2017  multiplying 3714226 relations
Thu Jul 27 03:49:39 2017  multiply complete, coefficients have about 120.27 million bits
Thu Jul 27 03:49:39 2017  initial square root is modulo 429345871
Thu Jul 27 03:51:59 2017  GCD is N, no factor found
Thu Jul 27 03:51:59 2017  reading relations for dependency 6
Thu Jul 27 03:52:00 2017  read 1128982 cycles
Thu Jul 27 03:52:01 2017  cycles contain 3721750 unique relations
Thu Jul 27 03:52:19 2017  read 3721750 relations
Thu Jul 27 03:52:30 2017  multiplying 3721750 relations
Thu Jul 27 03:54:20 2017  multiply complete, coefficients have about 120.52 million bits
Thu Jul 27 03:54:21 2017  initial square root is modulo 447207841
Thu Jul 27 03:56:40 2017  GCD is 1, no factor found
Thu Jul 27 03:56:40 2017  reading relations for dependency 7
Thu Jul 27 03:56:40 2017  read 1127014 cycles
Thu Jul 27 03:56:41 2017  cycles contain 3716296 unique relations
Thu Jul 27 03:56:59 2017  read 3716296 relations
Thu Jul 27 03:57:10 2017  multiplying 3716296 relations
Thu Jul 27 03:59:01 2017  multiply complete, coefficients have about 120.34 million bits
Thu Jul 27 03:59:01 2017  initial square root is modulo 434256541
Thu Jul 27 04:01:21 2017  sqrtTime: 1968
Thu Jul 27 04:01:21 2017  p68 factor: 26652554915271467103379202682974582625564290043531906412139515776779
Thu Jul 27 04:01:21 2017  p90 factor: 390321802260677421820518166157093548649183312185532121026513917880913373646851390826844587
Thu Jul 27 04:01:21 2017  elapsed time 00:32:49

Msieve 1.53 snfs

Core i7-2600K 3.4GHz, Ubuntu 16.04.2 LTS

51322835998778099838205037925104972116536552406537478490983551663254751569423689216042933155403570050695775934487479614191921010365153474567761831<146>

71268934707492356817943411594994655292635749483837<50>
720129130727453337895894500693996779127173413118734582201538246621935689590531122876528162717363<96>

Number: 46663_188
N = 51322835998778099838205037925104972116536552406537478490983551663254751569423689216042933155403570050695775934487479614191921010365153474567761831 (146 digits)
SNFS difficulty: 190 digits.
Divisors found:
r1=71268934707492356817943411594994655292635749483837 (pp50)
r2=720129130727453337895894500693996779127173413118734582201538246621935689590531122876528162717363 (pp96)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 18.56 hours.
Factorization parameters were as follows:
n: 51322835998778099838205037925104972116536552406537478490983551663254751569423689216042933155403570050695775934487479614191921010365153474567761831
m: 10000000000000000000000000000000000000
deg: 5
c5: 14000
c0: -11
skew: 0.24
# Murphy_E = 3.653e-11
type: snfs
lss: 1
rlim: 9900000
alim: 9900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9900000/9900000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 22607585
Relations: 3673518 relations
Pruned matrix : 2241473 x 2241698
Polynomial selection time: 0.00 hours.
Total sieving time: 16.29 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 1.51 hours.
time per square root: 0.59 hours.
Prototype def-par.txt line would be: snfs,190,5,0,0,0,0,0,0,0,0,9900000,9900000,28,28,54,54,2.5,2.5,200000
total time: 18.56 hours.
Intel64 Family 6 Model 62 Stepping 4, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 12, speed: 3.40GHz

64978130902253701431603911949117122821858993709530816111968184585992575118949597873699551224758662423230331218602852749861233<125>

56028649144846154576918785107849174457<38>
1159730457435645187988018725993250387128541623197163551356290007640701804261433189154169<88>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=314256342
Step 1 took 34298ms
********** Factor found in step 1: 56028649144846154576918785107849174457
Found probable prime factor of 38 digits: 56028649144846154576918785107849174457
Probable prime cofactor 1159730457435645187988018725993250387128541623197163551356290007640701804261433189154169 has 88 digits

GMP-ECM 6.2.1

680178989219202726155152171410092791407851532180823502075276311285348494673115161575896051965824873651674554939669760311670035914329893253876799301150935208106177<162>

33385078871486120268946848596891439983<38>
20373742168994459379077464343908638773771099641963572900766172485499099598762565460758410525603594525262750050387665873485519<125>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=899515628
Step 1 took 27416ms
Step 2 took 9921ms
********** Factor found in step 2: 33385078871486120268946848596891439983
Found probable prime factor of 38 digits: 33385078871486120268946848596891439983

2500964809131704518025165907317667969826755565090528527031813479446862512816835372795485249666413470258071405792207046111582204092803155277486094635277087265470443<163>

5746463303355030435600476345613499677630184065739286443<55>
435218094522858009860940434459352805244512097778372498114254864215899701960236802900822330133451898794488001<108>

p55 factor: 5746463303355030435600476345613499677630184065739286443
p108 factor: 435218094522858009860940434459352805244512097778372498114254864215899701960236802900822330133451898794488001


Msieve v. 1.54 (SVN 1032M)
random seeds: a2a7dfcb bc532ca3
factoring 2500964809131704518025165907317667969826755565090528527031813479446862512816835372795485249666413470258071405792207046111582204092803155277486094635277087265470443 (163 digits)
searching for 15-digit factors
commencing number field sieve (163-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: -11
A1: 0
A2: 0
A3: 0
A4: 0
A5: 140
skew 1.00, size 2.398e-13, alpha 0.122, combined = 3.428e-11 rroots = 1

commencing relation filtering
estimated available RAM is 48213.5 MB
commencing duplicate removal, pass 1
found 2202830 hash collisions in 35928655 relations
added 726897 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 36655552 unique relations
memory use: 98.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1185.3 MB
keeping 39476109 ideals with weight <= 200, target excess is 201357
commencing in-memory singleton removal
begin with 36655552 relations and 39476109 unique ideals
reduce to 13597921 relations and 12340262 ideals in 15 passes
max relations containing the same ideal: 110
removing 2142403 relations and 1742403 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 11455518 relations and 12340262 unique ideals
reduce to 11159181 relations and 10289994 ideals in 9 passes
max relations containing the same ideal: 92
removing 1724091 relations and 1324091 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 9435090 relations and 10289994 unique ideals
reduce to 9198270 relations and 8720197 ideals in 8 passes
max relations containing the same ideal: 81
removing 1127466 relations and 882968 ideals in 244498 cliques
commencing in-memory singleton removal
begin with 8070804 relations and 8720197 unique ideals
reduce to 7949504 relations and 7712737 ideals in 8 passes
max relations containing the same ideal: 75
relations with 0 large ideals: 4231
relations with 1 large ideals: 13827
relations with 2 large ideals: 108271
relations with 3 large ideals: 469440
relations with 4 large ideals: 1225499
relations with 5 large ideals: 2011448
relations with 6 large ideals: 2154784
relations with 7+ large ideals: 1962004
commencing 2-way merge
reduce to 4864150 relation sets and 4627383 unique ideals
commencing full merge
memory use: 508.1 MB
found 2229464 cycles, need 2205583
weight of 2205583 cycles is about 198509700 (90.00/cycle)
distribution of cycle lengths:
1 relations: 178163
2 relations: 184668
3 relations: 196042
4 relations: 189399
5 relations: 184077
6 relations: 169787
7 relations: 158613
8 relations: 143950
9 relations: 128893
10+ relations: 671991
heaviest cycle: 27 relations
commencing cycle optimization
start with 16507027 relations
pruned 529799 relations
memory use: 491.2 MB
distribution of cycle lengths:
1 relations: 178163
2 relations: 189236
3 relations: 203316
4 relations: 195402
5 relations: 190304
6 relations: 175231
7 relations: 163022
8 relations: 147069
9 relations: 131250
10+ relations: 632590
heaviest cycle: 26 relations
RelProcTime: 658
elapsed time 00:11:00


Msieve v. 1.54 (SVN 1032M)
random seeds: dd4c772f 9e4ef79c
factoring 2500964809131704518025165907317667969826755565090528527031813479446862512816835372795485249666413470258071405792207046111582204092803155277486094635277087265470443 (163 digits)
searching for 15-digit factors
commencing number field sieve (163-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: -11
A1: 0
A2: 0
A3: 0
A4: 0
A5: 140
skew 1.00, size 2.398e-13, alpha 0.122, combined = 3.428e-11 rroots = 1

commencing linear algebra
read 2205583 cycles
cycles contain 7744949 unique relations
read 7744949 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 944.7 MB
read 2205583 cycles
matrix is 2205403 x 2205583 (810.9 MB) with weight 240044712 (108.84/col)
sparse part has weight 188301195 (85.37/col)
filtering completed in 2 passes
matrix is 2204269 x 2204449 (810.7 MB) with weight 240000473 (108.87/col)
sparse part has weight 188284204 (85.41/col)
matrix starts at (0, 0)
matrix is 2204269 x 2204449 (810.7 MB) with weight 240000473 (108.87/col)
sparse part has weight 188284204 (85.41/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2204221 x 2204449 (775.6 MB) with weight 198379334 (89.99/col)
sparse part has weight 181261540 (82.23/col)
using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
commencing Lanczos iteration (8 threads)
memory use: 733.1 MB
linear algebra at 0.1%, ETA 2h 0m
checkpointing every 1220000 dimensions
lanczos halted after 34859 iterations (dim = 2204219)
recovered 38 nontrivial dependencies
BLanczosTime: 6470
elapsed time 01:47:52


Msieve v. 1.54 (SVN 1032M)
random seeds: 14cf4e62 18ce4f2a
factoring 2500964809131704518025165907317667969826755565090528527031813479446862512816835372795485249666413470258071405792207046111582204092803155277486094635277087265470443 (163 digits)
searching for 15-digit factors
commencing number field sieve (163-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: -11
A1: 0
A2: 0
A3: 0
A4: 0
A5: 140
skew 1.00, size 2.398e-13, alpha 0.122, combined = 3.428e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1103093 cycles
cycles contain 3877012 unique relations
read 3877012 relations
multiplying 3877012 relations
multiply complete, coefficients have about 111.33 million bits
initial square root is modulo 97907401
sqrtTime: 296
p55 factor: 5746463303355030435600476345613499677630184065739286443
p108 factor: 435218094522858009860940434459352805244512097778372498114254864215899701960236802900822330133451898794488001
elapsed time 00:04:57

CADO-NFS/Msieve

6646972328682439977852187062965401345501230128444053871139761324827260887465079937094259157738909751651264922348459866187763736761238819773823809834551296521655241179992201<172>

6746849474102785416010329355496218399426526414966245818103886331522377<70>
985196476399285997791267134017743598840940449807000342407564659085083126151554746387226299135895406913<102>

p70 factor: 6746849474102785416010329355496218399426526414966245818103886331522377
p102 factor: 985196476399285997791267134017743598840940449807000342407564659085083126151554746387226299135895406913


Msieve v. 1.54 (SVN 1032M)
random seeds: 046bce39 e0eb4294
factoring 6646972328682439977852187062965401345501230128444053871139761324827260887465079937094259157738909751651264922348459866187763736761238819773823809834551296521655241179992201 (172 digits)
searching for 15-digit factors
commencing number field sieve (172-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: -11
A1: 0
A2: 0
A3: 0
A4: 0
A5: 1400
skew 1.00, size 1.176e-13, alpha 0.877, combined = 2.243e-11 rroots = 1

commencing relation filtering
estimated available RAM is 48213.5 MB
commencing duplicate removal, pass 1
found 537943 hash collisions in 34308483 relations
added 724668 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 35033151 unique relations
memory use: 144.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1154.9 MB
keeping 38929131 ideals with weight <= 200, target excess is 185151
commencing in-memory singleton removal
begin with 35033151 relations and 38929131 unique ideals
reduce to 11911593 relations and 11549303 ideals in 16 passes
max relations containing the same ideal: 102
removing 737839 relations and 664082 ideals in 73757 cliques
commencing in-memory singleton removal
begin with 11173754 relations and 11549303 unique ideals
reduce to 11130801 relations and 10841875 ideals in 10 passes
max relations containing the same ideal: 95
removing 552088 relations and 478331 ideals in 73757 cliques
commencing in-memory singleton removal
begin with 10578713 relations and 10841875 unique ideals
reduce to 10553139 relations and 10337777 ideals in 8 passes
max relations containing the same ideal: 90
relations with 0 large ideals: 3802
relations with 1 large ideals: 6876
relations with 2 large ideals: 65156
relations with 3 large ideals: 345501
relations with 4 large ideals: 1109472
relations with 5 large ideals: 2249991
relations with 6 large ideals: 3013447
relations with 7+ large ideals: 3758894
commencing 2-way merge
reduce to 6390599 relation sets and 6175237 unique ideals
commencing full merge
memory use: 700.6 MB
found 2926785 cycles, need 2923437
weight of 2923437 cycles is about 263380076 (90.09/cycle)
distribution of cycle lengths:
1 relations: 274394
2 relations: 277019
3 relations: 285353
4 relations: 261711
5 relations: 243406
6 relations: 216873
7 relations: 192119
8 relations: 166451
9 relations: 146505
10+ relations: 859606
heaviest cycle: 28 relations
commencing cycle optimization
start with 21967462 relations
pruned 681478 relations
memory use: 653.7 MB
distribution of cycle lengths:
1 relations: 274394
2 relations: 284198
3 relations: 296100
4 relations: 269445
5 relations: 251264
6 relations: 221355
7 relations: 195424
8 relations: 168525
9 relations: 146992
10+ relations: 815740
heaviest cycle: 28 relations
RelProcTime: 849
elapsed time 00:14:10


Msieve v. 1.54 (SVN 1032M)
random seeds: e9d9d074 b196bf86
factoring 6646972328682439977852187062965401345501230128444053871139761324827260887465079937094259157738909751651264922348459866187763736761238819773823809834551296521655241179992201 (172 digits)
searching for 15-digit factors
commencing number field sieve (172-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: -11
A1: 0
A2: 0
A3: 0
A4: 0
A5: 1400
skew 1.00, size 1.176e-13, alpha 0.877, combined = 2.243e-11 rroots = 1

commencing linear algebra
read 2923437 cycles
cycles contain 10341694 unique relations
read 10341694 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 1276.7 MB
read 2923437 cycles
matrix is 2923259 x 2923437 (1077.2 MB) with weight 313630532 (107.28/col)
sparse part has weight 250224594 (85.59/col)
filtering completed in 2 passes
matrix is 2922739 x 2922917 (1077.2 MB) with weight 313612372 (107.29/col)
sparse part has weight 250218726 (85.61/col)
matrix starts at (0, 0)
matrix is 2922739 x 2922917 (1077.2 MB) with weight 313612372 (107.29/col)
sparse part has weight 250218726 (85.61/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2922691 x 2922917 (1023.1 MB) with weight 258634856 (88.49/col)
sparse part has weight 238957549 (81.75/col)
using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
commencing Lanczos iteration (8 threads)
memory use: 979.1 MB
linear algebra at 0.1%, ETA 4h49m
checkpointing every 670000 dimensions
lanczos halted after 46219 iterations (dim = 2922689)
recovered 37 nontrivial dependencies
BLanczosTime: 16856
elapsed time 04:40:57


Msieve v. 1.54 (SVN 1032M)
random seeds: 22a2cb05 1b3ce07c
factoring 6646972328682439977852187062965401345501230128444053871139761324827260887465079937094259157738909751651264922348459866187763736761238819773823809834551296521655241179992201 (172 digits)
searching for 15-digit factors
commencing number field sieve (172-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: -11
A1: 0
A2: 0
A3: 0
A4: 0
A5: 1400
skew 1.00, size 1.176e-13, alpha 0.877, combined = 2.243e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1461769 cycles
cycles contain 5171294 unique relations
read 5171294 relations
multiplying 5171294 relations
multiply complete, coefficients have about 165.67 million bits
initial square root is modulo 882391
sqrtTime: 458
p70 factor: 6746849474102785416010329355496218399426526414966245818103886331522377
p102 factor: 985196476399285997791267134017743598840940449807000342407564659085083126151554746387226299135895406913
elapsed time 00:07:39

CADO-NFS

13644825200042883736342991920314220831749558979756927185364950342582575558219545237468689999317758739997855813182850403984288958412522051012153640731752482870871222089022738126565500034112063<191>

19918602523557170046661811204547110828816287<44>
38002400406508649071698524483443108152436953406221425871715619951251<68>
18025946657480442016359745430074112476927580274403990407522607197025714289498299<80>

Number: 46663_194
N=13644825200042883736342991920314220831749558979756927185364950342582575558219545237468689999317758739997855813182850403984288958412522051012153640731752482870871222089022738126565500034112063
  ( 191 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=19918602523557170046661811204547110828816287
 r2=38002400406508649071698524483443108152436953406221425871715619951251
 r3=18025946657480442016359745430074112476927580274403990407522607197025714289498299
Version: 
Total time: 581.92 hours.
Scaled time: 1161.52 units (timescale=1.996).
Factorization parameters were as follows:
n: 13644825200042883736342991920314220831749558979756927185364950342582575558219545237468689999317758739997855813182850403984288958412522051012153640731752482870871222089022738126565500034112063
m: 1000000000000000000000000000000000000000
deg: 5
c5: 7
c0: -55
skew: 1.51
type: snfs
lss: 1
rlim: 12900000
alim: 12900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12900000/12900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6450000, 12150001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1950698 x 1950946
Total sieving time: 581.92 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,195,5,0,0,0,0,0,0,0,0,12900000,12900000,28,28,55,55,2.5,2.5,100000
total time: 581.92 hours.
 --------- CPU info (if available) ----------

5037134888058223633450405039362530589056135098486725936090357273858295899885946655529213127422826484929673683<109>

22558276111077612412558862726288421629303<41>
223294318380324094025369972631450077795174647404248745282626852355461<69>

Number: 46663_195
N=5037134888058223633450405039362530589056135098486725936090357273858295899885946655529213127422826484929673683
  ( 109 digits)
Divisors found:
 r1=22558276111077612412558862726288421629303
 r2=223294318380324094025369972631450077795174647404248745282626852355461
Version: 
Total time: 7.96 hours.
Scaled time: 19.01 units (timescale=2.389).
Factorization parameters were as follows:
name: 46663_195
n: 5037134888058223633450405039362530589056135098486725936090357273858295899885946655529213127422826484929673683
skew: 28245.07
# norm 9.99e+14
c5: 6720
c4: 193258244
c3: 36868640092844
c2: -461046821771144595
c1: -11402140141774968346118
c0: -51999097899030472876385888
# alpha -6.14
Y1: 297120973369
Y0: -943978439869455520635
# Murphy_E 1.16e-09
# M 3864773925994558014424622908664061302157833946497194619583286798249691747731010960060528393480808806337866640
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 51
mfba: 51
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 51/51
Sieved algebraic special-q in [900000, 1500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 5208950
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 360431 x 360679
Polynomial selection time: 0.58 hours.
Total sieving time: 6.73 hours.
Total relation processing time: 0.31 hours.
Matrix solve time: 0.27 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,51,51,2.6,2.6,50000
total time: 7.96 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047004k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673797)
Calibrating delay using timer specific routine.. 5148.57 BogoMIPS (lpj=2574285)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672337)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672389)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

102826121074517921541889640908736946493137501951806585656679010147128925141626117230852920600525802276297746462759152458590136675960182059845190039<147>

56491772388833187053255449170530065270897501633036542621517433<62>
1820196406067155264804158490326983903670843969331955858045575148118467110318032880783<85>

102826121074517921541889640908736946493137501951806585656679010147128925141626117230852920600525802276297746462759152458590136675960182059845190039=1820196406067155264804158490326983903670843969331955858045575148118467110318032880783 56491772388833187053255449170530065270897501633036542621517433

cado polynomial
n: 102826121074517921541889640908736946493137501951806585656679010147128925141626117230852920600525802276297746462759152458590136675960182059845190039
skew: 0.60
type: snfs
c0: -11
c5: 140
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 140*x^5-11
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13500000
tasks.lim1 = 13500000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1820196406067155264804158490326983903670843969331955858045575148118467110318032880783 56491772388833187053255449170530065270897501633036542621517433
Info:Square Root: Total cpu/real time for sqrt: 701.3/220.209
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 29242253
Info:Lattice Sieving: Average J: 1893.77 for 3358842 special-q, max bucket fill -bkmult 1.0,1s:1.109680
Info:Lattice Sieving: Total time: 975004s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.76/2.65068
Info:Generate Free Relations: Total cpu/real time for freerel: 117.56/32.3863
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 123.48/148.169
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 147.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 529.64/525.848
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 421.19999999999993s
Info:Filtering - Merging: Merged matrix has 2598443 rows and total weight 442646057 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 722.18/199.924
Info:Filtering - Merging: Total cpu/real time for replay: 100.24/87.879
Info:Linear Algebra: Total cpu/real time for bwc: 117768/30136
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 75497.42, WCT time 19265.96, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (81408 iterations)
Info:Linear Algebra: Lingen CPU time 549.79, WCT time 139.46
Info:Linear Algebra: Mksol: CPU time 40783.11,  WCT time 10411.88, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (40960 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 88.97/39.6317
Info:Square Root: Total cpu/real time for sqrt: 701.3/220.209
Info:Filtering - Singleton removal: Total cpu/real time for purge: 424.96/472.343
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.03625e+06/75674.5
Info:root: Cleaning up computation data in /tmp/cado.aavd0bay
1820196406067155264804158490326983903670843969331955858045575148118467110318032880783 56491772388833187053255449170530065270897501633036542621517433

cado-nfs-3.0.0

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

16526944607120928233470004691234556306509876241602537720501549246901397273139861432508355016345268035006200287704738478393882813697329983133598915643029812160977391874259849<173>

390172050462673323748290444226800413632453<42>
450278405481663845043229149162313921029509993<45>
94070899340616556671932508249628020480735055023855761777736156380149259767518266558381<86>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4276860758
Step 1 took 13941ms
********** Factor found in step 1: 450278405481663845043229149162313921029509993
Found probable prime factor of 45 digits: 450278405481663845043229149162313921029509993
Composite cofactor has 128 digits

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=188301114
Step 1 took 13717ms
Step 2 took 13368ms
********** Factor found in step 2: 390172050462673323748290444226800413632453
Found probable prime factor of 42 digits: 390172050462673323748290444226800413632453

GMP-ECM 6.2.1

385829886120599243482216789373400873106802234675942627241990920543377481459007169395505315535768880320405514316026687660440838491782554435591977006526966488144134223684617379911<177>

8822399785465841752079168689545673491493495793<46>

43732985979191442033480296345834442402914514809442218217157537784454018605665348734533945404881449212299935121725237209462584729527<131>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3237903409
Step 1 took 16147ms
Step 2 took 11371ms
********** Factor found in step 2: 8822399785465841752079168689545673491493495793
Found probable prime factor of 46 digits: 8822399785465841752079168689545673491493495793
Composite cofactor 

43732985979191442033480296345834442402914514809442218217157537784454018605665348734533945404881449212299935121725237209462584729527<131>

2261807290509255989043013110494270572892302116457<49>
19335416488707473122506819925962745472470518666111036748547637262851429150369460511<83>

Number: 46663_198
N = 43732985979191442033480296345834442402914514809442218217157537784454018605665348734533945404881449212299935121725237209462584729527 (131 digits)
Divisors found:
r1=2261807290509255989043013110494270572892302116457 (pp49)
r2=19335416488707473122506819925962745472470518666111036748547637262851429150369460511 (pp83)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 55.16 hours.
Factorization parameters were as follows:
# Murphy_E = 7.019e-11, selected by Erik Branger
# expecting poly E from 7.60e-011 to > 8.74e-011
n: 43732985979191442033480296345834442402914514809442218217157537784454018605665348734533945404881449212299935121725237209462584729527
Y0: -37522022205172949287984936
Y1: 19477103245223
c0: 171172391958330146478914003590665
c1: -345957720062021583734032973
c2: -3083712367871472131359
c3: -8318799868873671
c4: 1628068638
c5: 588
skew: 1357349.62
type: gnfs
# selected mechanically
rlim: 10200000
alim: 10200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 10200000/10200000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 20242029
Relations: 2197110 relations
Pruned matrix : 1329104 x 1329329
Polynomial selection time: 0.00 hours.
Total sieving time: 53.93 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.08 hours.
time per square root: 0.05 hours.
Prototype def-par.txt line would be: gnfs,130,5,65,2000,1e-05,0.28,250,20,50000,3600,10200000,10200000,28,28,54,54,2.6,2.6,100000
total time: 55.16 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz

GGNFS, Msieve

702691561347242347362657695936325628674919567078756868370585754262844181091340472790073477843107485101114020126408470714769342245043458817273736978346847433625420561170817<171>

1385313693684644917971280671244272947847473408753717<52>
507243640592499771571774910108375663574050695588567934755006001295509117145218399968957171269112402449266459252212006301<120>

#
# N = 14x10^199-11 = 46(198)3
#
n: 702691561347242347362657695936325628674919567078756868370585754262844181091340472790073477843107485101114020126408470714769342245043458817273736978346847433625420561170817
m: 10000000000000000000000000000000000000000
deg: 5
c5: 7
c0: -55
skew: 1.51
# Murphy_E = 1.675e-11
type: snfs
lss: 1
rlim: 15600000
alim: 15600000
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 702691561347242347362657695936325628674919567078756868370585754262844181091340472790073477843107485101114020126408470714769342245043458817273736978346847433625420561170817 (171 digits)
Using B1=44270000, B2=240492041806, polynomial Dickson(12), sigma=1:1403984716
Step 1 took 95697ms
Step 2 took 33131ms
********** Factor found in step 2: 1385313693684644917971280671244272947847473408753717
Found prime factor of 52 digits: 1385313693684644917971280671244272947847473408753717
Prime cofactor 507243640592499771571774910108375663574050695588567934755006001295509117145218399968957171269112402449266459252212006301 has 120 digits

3085617551251184103222157366043232054069572573520411547293271236250492530917160616189361153636876432501031702935100817734244476010360941592376688565798742359552789251593783111<175>

142177853404808759006260224569118163793011184069673613655701648315828273<72>
21702518904022375118964252075519269013144912842098892682228411946360766427369752171627069626740478812407<104>

Number: n
N=3085617551251184103222157366043232054069572573520411547293271236250492530917160616189361153636876432501031702935100817734244476010360941592376688565798742359552789251593783111  ( 175 digits)
SNFS difficulty: 203 digits.
Divisors found:

Sat Nov 13 18:15:19 2021  p72 factor: 142177853404808759006260224569118163793011184069673613655701648315828273
Sat Nov 13 18:15:19 2021  p104 factor: 21702518904022375118964252075519269013144912842098892682228411946360766427369752171627069626740478812407
Sat Nov 13 18:15:19 2021  elapsed time 02:07:37 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 14x10^202-11 = 46(201)3
#
n: 3085617551251184103222157366043232054069572573520411547293271236250492530917160616189361153636876432501031702935100817734244476010360941592376688565798742359552789251593783111
m: 10000000000000000000000000000000000000000
deg: 5
c5: 1400
c0: -11
skew: 0.38
# Murphy_E = 9.832e-12
type: snfs
lss: 1
rlim: 17000000
alim: 17000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17000000/17000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 42900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10365223 hash collisions in 64859290 relations (56742572 unique)
Msieve: matrix is 2265829 x 2266054 (781.6 MB)

Sieving start time : 2021/11/13 02:01:12
Sieving end time  : 2021/11/13 16:04:32

Total sieving time: 14hrs 3min 20secs.

Total relation processing time: 1hrs 39min 35sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 12min 17sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17000000,17000000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118892] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2728K init, 4972K bss, 487280K reserved, 0K cma-reserved)
[    0.152618] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084)
[    0.150210] smpboot: Total of 16 processors activated (102384.67 BogoMIPS)

1199068304046880992637283795448986601325992246937709975781902627176930433330288015345117546299324277554013942784237453463946517827555572208285122919983247743786213827494902333<175>

41261016367560499828213561587604865125388713753808670470152501<62>
29060561508358555187697497103962692589473584289550933221110434716078617627993834504010589423985596732377085369833<113>

Number: n
N=1199068304046880992637283795448986601325992246937709975781902627176930433330288015345117546299324277554013942784237453463946517827555572208285122919983247743786213827494902333  ( 175 digits)
SNFS difficulty: 204 digits.
Divisors found:

Sun Dec 19 02:57:57 2021  p62 factor: 41261016367560499828213561587604865125388713753808670470152501
Sun Dec 19 02:57:57 2021  p113 factor: 29060561508358555187697497103962692589473584289550933221110434716078617627993834504010589423985596732377085369833
Sun Dec 19 02:57:57 2021  elapsed time 02:12:57 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.323).
Factorization parameters were as follows:
#
# N = 14x10^203-11 = 46(202)3
#
n: 1199068304046880992637283795448986601325992246937709975781902627176930433330288015345117546299324277554013942784237453463946517827555572208285122919983247743786213827494902333
m: 10000000000000000000000000000000000000000
deg: 5
c5: 14000
c0: -11
skew: 0.24
# Murphy_E = 8.727e-12
type: snfs
lss: 1
rlim: 17700000
alim: 17700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17700000/17700000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 43250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 11683966 hash collisions in 69999302 relations (60719218 unique)
Msieve: matrix is 2412708 x 2412935 (825.5 MB)

Sieving start time : 2021/12/18 07:35:17
Sieving end time  : 2021/12/19 00:43:02

Total sieving time: 17hrs 7min 45secs.

Total relation processing time: 1hrs 51min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 28sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,17700000,17700000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118230] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5020K rodata, 2736K init, 4964K bss, 487280K reserved, 0K cma-reserved)
[    0.153572] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.15 BogoMIPS (lpj=12798304)
[    0.152049] smpboot: Total of 16 processors activated (102386.43 BogoMIPS)

46666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663<206>

2121306592776648777932591399219834774802781918867930539380539448487074254168075843706510005973451437893<103>
21999020238551709776934090605708851713877528642400823630041963062954447513472170746146025058346596528891<104>

Number: 46663_205
N=46666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663
  ( 206 digits)
SNFS difficulty: 206 digits.
Divisors found:
 r1=2121306592776648777932591399219834774802781918867930539380539448487074254168075843706510005973451437893
 r2=21999020238551709776934090605708851713877528642400823630041963062954447513472170746146025058346596528891
Version: 
Total time: 1093.48 hours.
Scaled time: 1932.19 units (timescale=1.767).
Factorization parameters were as follows:
n: 46666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663
m: 100000000000000000000000000000000000000000
deg: 5
c5: 14
c0: -11
skew: 0.95
type: snfs
lss: 1
rlim: 19100000
alim: 19100000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6Factor base limits: 19100000/19100000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [9550000, 20850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3269052 x 3269300
Total sieving time: 1093.48 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,206,5,0,0,0,0,0,0,0,0,19100000,19100000,29,29,56,56,2.6,2.6,100000
total time: 1093.48 hours.
 --------- CPU info (if available) ----------

7582571766701101095904423307248673919580825918768734654979117035104993254567864343525910304362667463710654711329420109924250003743106774583503984739195917554701942651665537451550201<181>

4854206883458981306418122045824340707<37>
5890250578558743363595262663220969329<37>
265194478209377169090239367688343072832300345213450938536059264598179011131343374591016470826330000087941667<108>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1859453338
Step 1 took 32291ms
Step 2 took 11129ms
********** Factor found in step 2: 4854206883458981306418122045824340707
Found probable prime factor of 37 digits: 4854206883458981306418122045824340707

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3530947566
Step 1 took 22635ms
Step 2 took 8772ms
********** Factor found in step 2: 5890250578558743363595262663220969329
Found probable prime factor of 37 digits: 5890250578558743363595262663220969329

4666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663<208>

760155186835365487699811107771807239699431451646377643929401478565199<69>
6139097315239886614263916592447421730390516565947110444657224090491141704287303978985979727597922598049561254815643659907362738785637885737<139>

Number: 46663_207
N=4666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663
  ( 208 digits)
SNFS difficulty: 208 digits.
Divisors found:
 r1=760155186835365487699811107771807239699431451646377643929401478565199
 r2=6139097315239886614263916592447421730390516565947110444657224090491141704287303978985979727597922598049561254815643659907362738785637885737
Version: 
Total time: 718.24 hours.
Scaled time: 2584.94 units (timescale=3.599).
Factorization parameters were as follows:
n: 4666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663
m: 200000000000000000000000000000000000000000
deg: 5
c5: 175
c0: -44
skew: 0.76
# Murphy_E = 5.365e-12
type: snfs
lss: 1
rlim: 26000000
alim: 26000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6

Factor base limits: 26000000/26000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved rational special-q in [13000000, 32000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 45157103
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 4735058 x 4735306
Total sieving time: 642.64 hours.
Total relation processing time: 15.87 hours.
Matrix solve time: 58.77 hours.
Time per square root: 0.97 hours.
Prototype def-par.txt line would be:
snfs,208,5,0,0,0,0,0,0,0,0,26000000,26000000,29,29,57,57,2.6,2.6,100000
total time: 718.24 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz stepping 02
Memory: 36991244k/38797312k available (5222k kernel code, 1057684k absent, 748384k reserved, 7119k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6666.53 BogoMIPS (lpj=3333265)
Total of 12 processors activated (79998.36 BogoMIPS).
x86info v1.25.  Dave Jones 2001-2009
Feedback to <davej@redhat.com>.

Found 12 CPUs
--------------------------------------------------------------------------
CPU #1
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)        Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x0 Package: 0  Core: 0   SMT ID 0
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #2
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x2 Package: 0  Core: 0   SMT ID 2
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #3
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x4 Package: 0  Core: 0   SMT ID 4
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #4
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x10        Package: 0  Core: 0   SMT ID 16
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #5
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x12        Package: 0  Core: 0   SMT ID 18
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #6
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x14        Package: 0  Core: 0   SMT ID 20
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #7
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x1 Package: 0  Core: 0   SMT ID 1
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #8
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x3 Package: 0  Core: 0   SMT ID 3
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #9
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x5 Package: 0  Core: 0   SMT ID 5
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #10
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x11        Package: 0  Core: 0   SMT ID 17
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #11
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x13        Package: 0  Core: 0   SMT ID 19
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #12
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x15        Package: 0  Core: 0   SMT ID 21
3.35GHz processor (estimate).

--------------------------------------------------------------------------

GGNFS / Msieve v1.39

Core i7 980

9582477754962354551676933607118412046543463381245722108145106091718001368925393566050650239561943874058863791923340177960301163586584531143052703627652292950034223134839151266255989048596851471594798083504449<208>

187481003831128684113936158222920243729<39>
51111726303714796779057110728315195157591453986714770834021867901630931399573232170137184346048201010300999757221485369076064464867990241231180097276898201880388086725681<170>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=718117556
Step 1 took 64387ms
Step 2 took 23051ms
********** Factor found in step 2: 187481003831128684113936158222920243729
Found probable prime factor of 39 digits: 187481003831128684113936158222920243729
Probable prime cofactor 

115485353635356748296938574988296386511751197541633092117414342067549491542374288114466181893942998197465704221475326725222703948014555663078882626149462957275746793538642727655569<180>

23324912472609739065188817794437<32>

4951159142439239124182150738328574576576064227756668224141273447536018402777328668085459295426324813187592693741341197247480925534988666143419502237<148>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2815442586
Step 1 took 31772ms
Step 2 took 11199ms
********** Factor found in step 2: 23324912472609739065188817794437
Found probable prime factor of 32 digits: 23324912472609739065188817794437

4951159142439239124182150738328574576576064227756668224141273447536018402777328668085459295426324813187592693741341197247480925534988666143419502237<148>

2002366640853938992125746256901856981675573<43>
11809192269486140144841569432525689667759378042923529<53>
209383806550420722188533557689868211724948077303399361<54>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=833622702
Step 1 took 36153ms
Step 2 took 22941ms
********** Factor found in step 2: 2002366640853938992125746256901856981675573
Found probable prime factor of 43 digits: 2002366640853938992125746256901856981675573

Divisors found:
 r1=11809192269486140144841569432525689667759378042923529 (pp53)
 r2=209383806550420722188533557689868211724948077303399361 (pp54)
Version: Msieve v. 1.51 (SVN 719M)
Total time: 4.71 hours.
Scaled time: 11.31 units (timescale=2.400).

841040892150531610922176986053782606833320273745146537951209270792652605515489820832596845314140141257266272022328075568840362095278388647854074239765220973260643287985586756029276203<183>

89004251631386754619580577713939186544962296352071402205565161705565741747117430997128589543122355196470347997974726149027336884396734275486959841309597988265707403<164>

503789222480133004662834954516092510789398965975545840908859738900934123277581659262849419566019986638160242890189308688265267573216883590927494009488670147734594135773440965050688456478291<189>

57537854900825419563644055352503240095048376586074657403018566573702168662817325899101518122945065023712775887645340130741560461348072690175872617553995650624548444068764118675894273235123889901<194>

31621213875434552422614890689065544051970808658067494267967833<62>
1819596652028739027347760935865591846076385368054841533770341273659227519824589139787885700706745397470883272182646052927419155919797<133>

Number: 46663_220
N = 57537854900825419563644055352503240095048376586074657403018566573702168662817325899101518122945065023712775887645340130741560461348072690175872617553995650624548444068764118675894273235123889901 (194 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=31621213875434552422614890689065544051970808658067494267967833 (pp62)
r2=1819596652028739027347760935865591846076385368054841533770341273659227519824589139787885700706745397470883272182646052927419155919797 (pp133)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 56.11 hours.
Factorization parameters were as follows:
n: 57537854900825419563644055352503240095048376586074657403018566573702168662817325899101518122945065023712775887645340130741560461348072690175872617553995650624548444068764118675894273235123889901
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 14
c0: -11
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: 30673003
Relations: 8988102 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 24.04 hours.
Total relation processing time: 0.35 hours.
Pruned matrix : 7671973 x 7672198
Matrix solve time: 31.50 hours.
time per square root: 0.22 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: 56.11 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

27556236619254925883448843575894543757061381212329223508683665512384731846816410505720403418787089572157419712307565466983560277487349829699682144393497209058318186667941526135140311813345428132448113<200>

14577862162454352660384529802056303<35>
1890279679706857162565563852720841618327250124706900170350868151687539805294925047813124710354970191492606864911929585684533262469109834192847950050013696791758730271<166>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3635843877
Step 1 took 36875ms
Step 2 took 12641ms
********** Factor found in step 2: 14577862162454352660384529802056303
Found probable prime factor of 35 digits: 14577862162454352660384529802056303

4666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663<223>

6628149530689394447752420789425823<34>

704067801285902225808552475724920538135039658335347677491068423045779941117800815679952992243671388784659244358291623393201933627788632689163539181097029861961183919362531808196361831225081<189>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1630292283
Step 1 took 42642ms
Step 2 took 14409ms
********** Factor found in step 2: 6628149530689394447752420789425823
Found probable prime factor of 34 digits: 6628149530689394447752420789425823

704067801285902225808552475724920538135039658335347677491068423045779941117800815679952992243671388784659244358291623393201933627788632689163539181097029861961183919362531808196361831225081<189>

191950090990759239864368192361728684989433<42>

3667973261444283904514899138427287384268369987351433161692896184736433298950053764524873428427415005036616886303668322950525530146805681316567257857<148>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2452933161
Step 1 took 14997ms
Step 2 took 6345ms
********** Factor found in step 2: 191950090990759239864368192361728684989433
Found probable prime factor of 42 digits: 191950090990759239864368192361728684989433
Composite cofactor 

3667973261444283904514899138427287384268369987351433161692896184736433298950053764524873428427415005036616886303668322950525530146805681316567257857<148>

53078220479609556152814152794226388944071321728557855492421473<62>
69105053415522221882718987216040041407809222465473051717889240703007658147991688290209<86>

Number: 46663_222
N = 3667973261444283904514899138427287384268369987351433161692896184736433298950053764524873428427415005036616886303668322950525530146805681316567257857 (148 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=53078220479609556152814152794226388944071321728557855492421473 (pp62)
r2=69105053415522221882718987216040041407809222465473051717889240703007658147991688290209 (pp86)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 46.29 hours.
Factorization parameters were as follows:
n: 3667973261444283904514899138427287384268369987351433161692896184736433298950053764524873428427415005036616886303668322950525530146805681316567257857
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1400
c0: -11
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: 31294474
Relations: 9497598 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 18.85 hours.
Total relation processing time: 0.28 hours.
Pruned matrix : 8230655 x 8230880
Matrix solve time: 26.99 hours.
time per square root: 0.18 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 46.29 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

1225615834284858371665076847880062477158747269117648122897349095574107969588179453308335753907282254787301866942370647039862887637837978822906664769549152302679157810555394796915923208389139959047401278124131<208>

199320256253535110744000062549030561598477620728466311714689133620672318672312780146734730586046173533560015844714159089930380229141630263955894295764468093921874026074738358132990149272021<189>

50138032297894292008469885547803<32>
3975430369290862781672972563068610321353177803606714409149595221677608155852021744815123512824611903232077845960172983911133306884379963052000304059635065807<157>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3936213638
Step 1 took 31724ms
Step 2 took 11653ms
********** Factor found in step 2: 50138032297894292008469885547803
Found probable prime factor of 32 digits: 50138032297894292008469885547803

1524284560779712219423534219261053042135718303886712226235380565322020051739055270520710334315449342967357565336490960665869844434514371413737647351925002975629373245209491483886962533675919985979<196>

36175571338195567558708486841383838025668726552352669119425113451794085123789806463560428971672734744404148423793<113>

1259305532841456581934976156995240788958600004719329<52>
28726603985110880588744543494752508554283142258268272198908817<62>

N=36175571338195567558708486841383838025668726552352669119425113451794085123789806463560428971672734744404148423793
  ( 113 digits)
Divisors found:
 r1=1259305532841456581934976156995240788958600004719329 (pp52)
 r2=28726603985110880588744543494752508554283142258268272198908817 (pp62)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 32.24 hours.
Scaled time: 33.89 units (timescale=1.051).
Factorization parameters were as follows:
n: 36175571338195567558708486841383838025668726552352669119425113451794085123789806463560428971672734744404148423793
skew: 56884.77
c0: -1570768872266662912552413600
c1: 23917253392605986573372
c2: 8503373483051276572
c3: 237872336279933
c4: -1934668968
c5: 7056
Y0: -5520412535887340505509
Y1: 38956530941
rlim: 3980000
alim: 3980000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 200000
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, 2990001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 438493 x 438729
Total sieving time: 31.66 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 0.27 hours.
Time per square root: 0.07 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: 32.24 hours.
 --------- CPU info (if available) ----------