15139851167564793430844239158326918142160636386964331537079804978188350012830382345393892738003592507056710289966641<116>

97184768442645505553580695132117<32>
155784197566923435384179951190141128237442649031951845773179362399075390459437211373<84>

N=15139851167564793430844239158326918142160636386964331537079804978188350012830382345393892738003592507056710289966641
  ( 116 digits)
SNFS difficulty: 119 digits.
Divisors found:
 r1=97184768442645505553580695132117 (pp32)
 r2=155784197566923435384179951190141128237442649031951845773179362399075390459437211373 (pp84)
Version: Msieve-1.40
Total time: 1.50 hours.
Scaled time: 2.75 units (timescale=1.839).
Factorization parameters were as follows:
n: 15139851167564793430844239158326918142160636386964331537079804978188350012830382345393892738003592507056710289966641
m: 200000000000000000000000
deg: 5
c5: 1475
c0: -184
skew: 0.66
type: snfs
lss: 1
rlim: 690000
alim: 690000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 690000/690000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [345000, 695001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 81222 x 81447
Total sieving time: 1.44 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,119.000,5,0,0,0,0,0,0,0,0,690000,690000,25,25,45,45,2.2,2.2,50000
total time: 1.50 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve 1.42

14238779289329778341411766051652796238077834196131757570700380272126088314213802043145435296643<95>

16254745280724313259542306996318654639<38>
875976771301044758722134852221364087178881271056936925037<57>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=2732121548
Step 1 took 3696ms
Step 2 took 2568ms
********** Factor found in step 2: 16254745280724313259542306996318654639
Found probable prime factor of 38 digits: 16254745280724313259542306996318654639
Probable prime cofactor 875976771301044758722134852221364087178881271056936925037 has 57 digits

GMP-ECM 6.2.3

399148017879314538914459055088508400702584400203554664765423179197861183612289426503383736730248036869965403135202143<117>

33690683433359402920174483777695242957<38>
11847430126160377731229441236227256582416556719472932180179868318471140022894299<80>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=188559141
Step 1 took 5252ms
Step 2 took 3056ms
********** Factor found in step 2: 33690683433359402920174483777695242957
Found probable prime factor of 38 digits: 33690683433359402920174483777695242957
Probable prime cofactor 11847430126160377731229441236227256582416556719472932180179868318471140022894299 has 80 digits

1615723232975456823692132683727246708644840647352559264005507007327656423428932420159120602207<94>

42222680564788862551510597914520769117009<41>
38266713798433521128707810484637485291912398620879023<53>

Sat Sep 05 18:47:56 2009  Msieve v. 1.42
Sat Sep 05 18:47:56 2009  random seeds: 9a9a5890 65e26772
Sat Sep 05 18:47:56 2009  factoring 1615723232975456823692132683727246708644840647352559264005507007327656423428932420159120602207 (94 digits)
Sat Sep 05 18:47:57 2009  searching for 15-digit factors
Sat Sep 05 18:47:57 2009  commencing quadratic sieve (94-digit input)
Sat Sep 05 18:47:57 2009  using multiplier of 7
Sat Sep 05 18:47:57 2009  using 32kb Intel Core sieve core
Sat Sep 05 18:47:57 2009  sieve interval: 36 blocks of size 32768
Sat Sep 05 18:47:57 2009  processing polynomials in batches of 6
Sat Sep 05 18:47:57 2009  using a sieve bound of 1991597 (74030 primes)
Sat Sep 05 18:47:57 2009  using large prime bound of 256916013 (27 bits)
Sat Sep 05 18:47:57 2009  using double large prime bound of 1372853067158631 (42-51 bits)
Sat Sep 05 18:47:57 2009  using trial factoring cutoff of 51 bits
Sat Sep 05 18:47:57 2009  polynomial 'A' values have 12 factors
Sat Sep 05 21:11:00 2009  74187 relations (18938 full + 55249 combined from 1020687 partial), need 74126
Sat Sep 05 21:11:02 2009  begin with 1039625 relations
Sat Sep 05 21:11:03 2009  reduce to 189177 relations in 11 passes
Sat Sep 05 21:11:03 2009  attempting to read 189177 relations
Sat Sep 05 21:11:06 2009  recovered 189177 relations
Sat Sep 05 21:11:06 2009  recovered 169082 polynomials
Sat Sep 05 21:11:06 2009  attempting to build 74187 cycles
Sat Sep 05 21:11:06 2009  found 74187 cycles in 5 passes
Sat Sep 05 21:11:06 2009  distribution of cycle lengths:
Sat Sep 05 21:11:06 2009     length 1 : 18938
Sat Sep 05 21:11:06 2009     length 2 : 13425
Sat Sep 05 21:11:06 2009     length 3 : 12855
Sat Sep 05 21:11:06 2009     length 4 : 9836
Sat Sep 05 21:11:06 2009     length 5 : 7375
Sat Sep 05 21:11:06 2009     length 6 : 4857
Sat Sep 05 21:11:06 2009     length 7 : 2939
Sat Sep 05 21:11:06 2009     length 9+: 3962
Sat Sep 05 21:11:06 2009  largest cycle: 20 relations
Sat Sep 05 21:11:06 2009  matrix is 74030 x 74187 (19.0 MB) with weight 4672524 (62.98/col)
Sat Sep 05 21:11:06 2009  sparse part has weight 4672524 (62.98/col)
Sat Sep 05 21:11:07 2009  filtering completed in 3 passes
Sat Sep 05 21:11:07 2009  matrix is 69864 x 69928 (18.0 MB) with weight 4441598 (63.52/col)
Sat Sep 05 21:11:07 2009  sparse part has weight 4441598 (63.52/col)
Sat Sep 05 21:11:07 2009  saving the first 48 matrix rows for later
Sat Sep 05 21:11:08 2009  matrix is 69816 x 69928 (11.1 MB) with weight 3460622 (49.49/col)
Sat Sep 05 21:11:08 2009  sparse part has weight 2491797 (35.63/col)
Sat Sep 05 21:11:08 2009  matrix includes 64 packed rows
Sat Sep 05 21:11:08 2009  using block size 27971 for processor cache size 1024 kB
Sat Sep 05 21:11:08 2009  commencing Lanczos iteration
Sat Sep 05 21:11:08 2009  memory use: 11.4 MB
Sat Sep 05 21:11:40 2009  lanczos halted after 1106 iterations (dim = 69816)
Sat Sep 05 21:11:40 2009  recovered 18 nontrivial dependencies
Sat Sep 05 21:11:42 2009  prp41 factor: 42222680564788862551510597914520769117009
Sat Sep 05 21:11:42 2009  prp53 factor: 38266713798433521128707810484637485291912398620879023
Sat Sep 05 21:11:42 2009  elapsed time 02:23:46

86825100400719912527390375952684735117221243600327875124903057567984789419699290830239269374138187297929294936036390018351<122>

564188894543914208956794527643148388913774124253997606584441<60>
153893671499699811407798392541980060364509504361334033629409511<63>

Number: 65553_126
N=86825100400719912527390375952684735117221243600327875124903057567984789419699290830239269374138187297929294936036390018351
  ( 122 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=564188894543914208956794527643148388913774124253997606584441
 r2=153893671499699811407798392541980060364509504361334033629409511
Version: 
Total time: 1.57 hours.
Scaled time: 3.74 units (timescale=2.384).
Factorization parameters were as follows:
n: 86825100400719912527390375952684735117221243600327875124903057567984789419699290830239269374138187297929294936036390018351
m: 10000000000000000000000000
deg: 5
c5: 590
c0: -23
skew: 0.52
type: snfs
lss: 1
rlim: 900000
alim: 900000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 900000/900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [450000, 900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 2850657
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 135750 x 135997
Total sieving time: 1.38 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,127,5,0,0,0,0,0,0,0,0,900000,900000,26,26,47,47,2.3,2.3,50000
total time: 1.57 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673799)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672378)
Calibrating delay using timer specific routine.. 5237.88 BogoMIPS (lpj=2618943)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

9307871280198141222073809578401823180095105964710473041921070433376439862681920643349744303784280882738576123<109>

4614725795883954275429109017216659<34>
2016993358196965486133176761640833276461425032272165651768369914842420187897<76>

Number: 65553_129
N=9307871280198141222073809578401823180095105964710473041921070433376439862681920643349744303784280882738576123
  ( 109 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=4614725795883954275429109017216659 (pp34)
 r2=2016993358196965486133176761640833276461425032272165651768369914842420187897 (pp76)
Version: Msieve-1.40
Total time: 3.79 hours.
Scaled time: 6.90 units (timescale=1.822).
Factorization parameters were as follows:
name: 65553_129
n: 9307871280198141222073809578401823180095105964710473041921070433376439862681920643349744303784280882738576123
m: 100000000000000000000000000
deg: 5
c5: 59
c0: -230
skew: 1.31
type: snfs
lss: 1
rlim: 1100000
alim: 1100000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1100000/1100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [550000, 1100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 167065 x 167290
Total sieving time: 3.65 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,131.000,5,0,0,0,0,0,0,0,0,1100000,1100000,26,26,47,47,2.3,2.3,50000
total time: 3.79 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU1: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU2: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU3: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
Memory: 3109164k/3145344k available (2732k kernel code, 34856k reserved, 1420k data, 412k init, 2227840k highmem)
Calibrating delay loop (skipped), value calculated using timer frequency.. 4787.99 BogoMIPS (lpj=2393997)
Calibrating delay using timer specific routine.. 4787.75 BogoMIPS (lpj=2393879)
Calibrating delay using timer specific routine.. 4787.78 BogoMIPS (lpj=2393890)
Calibrating delay using timer specific routine.. 4787.77 BogoMIPS (lpj=2393888)
Total of 4 processors activated (19151.30 BogoMIPS).

by  Linux, 32bit)

41556640603029760970119631553974196119945973651913576045110048478128044376147075110846618125081411<98>

2213940512772066993915618104377958245498637731<46>
18770441375137419556441967816076411508423217279309281<53>

Number: 65553_131
N=41556640603029760970119631553974196119945973651913576045110048478128044376147075110846618125081411
  ( 98 digits)
Divisors found:
 r1=2213940512772066993915618104377958245498637731
 r2=18770441375137419556441967816076411508423217279309281
Version: 
Total time: 1.89 hours.
Scaled time: 4.46 units (timescale=2.360).
Factorization parameters were as follows:
name: 65553_131
n: 41556640603029760970119631553974196119945973651913576045110048478128044376147075110846618125081411
skew: 2479.09
# norm 3.90e+13
c5: 167700
c4: -1099413860
c3: -4150612370357
c2: -3464623607138653
c1: 11184030524249065405
c0: 388113312493516493000
# alpha -5.68
Y1: 9825158849
Y0: -3011780600774398341
# Murphy_E 4.26e-09
# M 1878336600636826816372762955980462052612739052524793761595897644192885404135275630993910786474838
type: gnfs
rlim: 1000000
alim: 1000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [500000, 850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 3964484
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 160389 x 160637
Polynomial selection time: 0.13 hours.
Total sieving time: 1.52 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
gnfs,97,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1000000,1000000,26,26,49,49,2.5,2.5,50000
total time: 1.89 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673799)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672378)
Calibrating delay using timer specific routine.. 5237.88 BogoMIPS (lpj=2618943)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

890676891453651598342319703158395378192271201476401819686147034391191837296864223046734619289261<96>

109549546925366048058099112355570359543<39>
8130356687467199190018185491945775555626225108447828911227<58>

Sat Sep 05 21:27:27 2009  Msieve v. 1.42
Sat Sep 05 21:27:27 2009  random seeds: 5b72e100 56d12c6c
Sat Sep 05 21:27:27 2009  factoring 890676891453651598342319703158395378192271201476401819686147034391191837296864223046734619289261 (96 digits)
Sat Sep 05 21:27:28 2009  searching for 15-digit factors
Sat Sep 05 21:27:28 2009  commencing quadratic sieve (96-digit input)
Sat Sep 05 21:27:29 2009  using multiplier of 5
Sat Sep 05 21:27:29 2009  using 32kb Intel Core sieve core
Sat Sep 05 21:27:29 2009  sieve interval: 36 blocks of size 32768
Sat Sep 05 21:27:29 2009  processing polynomials in batches of 6
Sat Sep 05 21:27:29 2009  using a sieve bound of 2297153 (84706 primes)
Sat Sep 05 21:27:29 2009  using large prime bound of 344572950 (28 bits)
Sat Sep 05 21:27:29 2009  using double large prime bound of 2328660176259750 (43-52 bits)
Sat Sep 05 21:27:29 2009  using trial factoring cutoff of 52 bits
Sat Sep 05 21:27:29 2009  polynomial 'A' values have 12 factors
Sun Sep 06 03:34:37 2009  84927 relations (19358 full + 65569 combined from 1298983 partial), need 84802
Sun Sep 06 03:34:38 2009  begin with 1318341 relations
Sun Sep 06 03:34:40 2009  reduce to 227125 relations in 11 passes
Sun Sep 06 03:34:40 2009  attempting to read 227125 relations
Sun Sep 06 03:34:44 2009  recovered 227125 relations
Sun Sep 06 03:34:44 2009  recovered 215678 polynomials
Sun Sep 06 03:34:44 2009  attempting to build 84927 cycles
Sun Sep 06 03:34:44 2009  found 84927 cycles in 6 passes
Sun Sep 06 03:34:44 2009  distribution of cycle lengths:
Sun Sep 06 03:34:44 2009     length 1 : 19358
Sun Sep 06 03:34:44 2009     length 2 : 14177
Sun Sep 06 03:34:44 2009     length 3 : 14202
Sun Sep 06 03:34:44 2009     length 4 : 11758
Sun Sep 06 03:34:44 2009     length 5 : 8957
Sun Sep 06 03:34:44 2009     length 6 : 6366
Sun Sep 06 03:34:44 2009     length 7 : 4119
Sun Sep 06 03:34:44 2009     length 9+: 5990
Sun Sep 06 03:34:44 2009  largest cycle: 21 relations
Sun Sep 06 03:34:44 2009  matrix is 84706 x 84927 (24.2 MB) with weight 5994457 (70.58/col)
Sun Sep 06 03:34:44 2009  sparse part has weight 5994457 (70.58/col)
Sun Sep 06 03:34:46 2009  filtering completed in 3 passes
Sun Sep 06 03:34:46 2009  matrix is 81590 x 81654 (23.3 MB) with weight 5787567 (70.88/col)
Sun Sep 06 03:34:46 2009  sparse part has weight 5787567 (70.88/col)
Sun Sep 06 03:34:46 2009  saving the first 48 matrix rows for later
Sun Sep 06 03:34:46 2009  matrix is 81542 x 81654 (17.3 MB) with weight 4878019 (59.74/col)
Sun Sep 06 03:34:46 2009  sparse part has weight 4046406 (49.56/col)
Sun Sep 06 03:34:46 2009  matrix includes 64 packed rows
Sun Sep 06 03:34:46 2009  using block size 32661 for processor cache size 1024 kB
Sun Sep 06 03:34:47 2009  commencing Lanczos iteration
Sun Sep 06 03:34:47 2009  memory use: 15.8 MB
Sun Sep 06 03:35:41 2009  lanczos halted after 1291 iterations (dim = 81541)
Sun Sep 06 03:35:41 2009  recovered 17 nontrivial dependencies
Sun Sep 06 03:35:42 2009  prp39 factor: 109549546925366048058099112355570359543
Sun Sep 06 03:35:42 2009  prp58 factor: 8130356687467199190018185491945775555626225108447828911227
Sun Sep 06 03:35:42 2009  elapsed time 06:08:15

22683583237216455209534794309880815071126489811610918877354863514033064206074586697424067666282199154171472510572856593617839292579777<134>

4033384965435623345569638585775206175700568128455161178295943361<64>
5623956907561519679072678462943544587725062461900245913207560067776257<70>

Number: snfs134
N=22683583237216455209534794309880815071126489811610918877354863514033064206074586697424067666282199154171472510572856593617839292579777
  ( 134 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=4033384965435623345569638585775206175700568128455161178295943361 (pp64)
 r2=5623956907561519679072678462943544587725062461900245913207560067776257 (pp70)
Version: Msieve-1.40
Total time: 3.25 hours.
Scaled time: 5.95 units (timescale=1.834).
Factorization parameters were as follows:
n: 22683583237216455209534794309880815071126489811610918877354863514033064206074586697424067666282199154171472510572856593617839292579777
m: 1000000000000000000000000000
deg: 5
c5: 59
c0: -23
skew: 0.83
type: snfs
lss: 1
rlim: 1330000
alim: 1330000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1330000/1330000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [665000, 1265001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 192581 x 192805
Total sieving time: 3.09 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,136.000,5,0,0,0,0,0,0,0,0,1330000,1330000,26,26,48,48,2.3,2.3,75000
total time: 3.25 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve 1.42

887529013925179799839643062907755649723888219481412284304124603056409238124034436125740296976233778150840820919209286862915878796631<132>

26705301404713169736168719314021674245521<41>
33234188241310821888516958762778464633803409872337761429587661457861788148008353259184887911<92>

Number: 65553_136
N=887529013925179799839643062907755649723888219481412284304124603056409238124034436125740296976233778150840820919209286862915878796631
  ( 132 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=26705301404713169736168719314021674245521
 r2=33234188241310821888516958762778464633803409872337761429587661457861788148008353259184887911
Version: 
Total time: 3.36 hours.
Scaled time: 7.86 units (timescale=2.341).
Factorization parameters were as follows:
n: 887529013925179799839643062907755649723888219481412284304124603056409238124034436125740296976233778150840820919209286862915878796631
m: 1000000000000000000000000000
deg: 5
c5: 590
c0: -23
skew: 0.52
type: snfs
lss: 1
rlim: 1600000
alim: 1600000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1600000/1600000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [800000, 1600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 3853685
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 245199 x 245447
Total sieving time: 2.80 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,137,5,0,0,0,0,0,0,0,0,1600000,1600000,26,26,48,48,2.3,2.3,50000
total time: 3.36 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673799)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672378)
Calibrating delay using timer specific routine.. 5237.88 BogoMIPS (lpj=2618943)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

25497642180873552505796492657762440287368611158736844024891567239903511874853673955958426951604245643<101>

314501601214746905872981699611119539<36>
81073171272865284477958404680830239933166102622820941120013499337<65>

GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 25497642180873552505796492657762440287368611158736844024891567239903511874853673955958426951604245643 (101 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=5471242219
Step 1 took 3495ms
Step 2 took 3650ms
********** Factor found in step 2: 314501601214746905872981699611119539
Found probable prime factor of 36 digits: 314501601214746905872981699611119539
Probable prime cofactor 81073171272865284477958404680830239933166102622820941120013499337 has 65 digits

Core 2 Quad Q6600

14593392317629841898093496082284136187675171635560610084296736409443077971135126466110220070926187203<101>

5689289916654150275926497293389<31>
2565063923866998207044226037098494558613110402926733815660812190741327<70>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=1172970948
Step 1 took 4696ms
Step 2 took 2820ms
********** Factor found in step 2: 5689289916654150275926497293389
Found probable prime factor of 31 digits: 5689289916654150275926497293389
Probable prime cofactor 2565063923866998207044226037098494558613110402926733815660812190741327 has 70 digits

587080221099187511820586612746034997006239140321914394171173029765494586876573916051647894876102142366177476599654046561372137425449643<135>

11269772850015485143716117717785059488909143582753326718169637309397<68>
52093349964758237235431796266725582935721900063340311411451502216319<68>

Number: n
N=587080221099187511820586612746034997006239140321914394171173029765494586876573916051647894876102142366177476599654046561372137425449643
  ( 135 digits)
SNFS difficulty: 143 digits.
Divisors found:

Mon Sep 07 05:05:39 2009  prp68 factor: 11269772850015485143716117717785059488909143582753326718169637309397
Mon Sep 07 05:05:39 2009  prp68 factor: 52093349964758237235431796266725582935721900063340311411451502216319
Mon Sep 07 05:05:39 2009  elapsed time 00:28:28 (Msieve 1.42 - dependency 4)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 7.76 hours.
Scaled time: 14.18 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_6_5_140_3
n: 587080221099187511820586612746034997006239140321914394171173029765494586876573916051647894876102142366177476599654046561372137425449643
m: 20000000000000000000000000000
deg: 5
c5: 295
c0: -368
skew: 1.05
type: snfs
lss: 1
rlim: 1760000
alim: 1760000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 10000
Factor base limits: 1760000/1760000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [880000, 1861261)
Primes: RFBsize:132292, AFBsize:132276, largePrimes:9375668 encountered
Relations: rels:8453983, finalFF:287077
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1043937 hash collisions in 9489724 relations
Msieve: matrix is 326807 x 327033 (87.3 MB)

Total sieving time: 7.45 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,143,5,0,0,0,0,0,0,0,0,1760000,1760000,28,28,56,56,2.4,2.4,100000
total time: 7.76 hours.
 --------- CPU info (if available) ----------

1075120561319489764836632943914401585864346640203894542451699330566775062798065922108953288841356281905876499<109>

5122432882476929452340127769<28>
209884753199464087080383859154803953570616666555689425626499446356382804153212171<81>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=2627240755
Step 1 took 4221ms
Step 2 took 2816ms
********** Factor found in step 2: 5122432882476929452340127769
Found probable prime factor of 28 digits: 5122432882476929452340127769
Probable prime cofactor has 81 digits

GMP-ECM 6.2.3

110217731900529447653474164119681216660909871112734753012110542294173220474143695570691679432969528601793942017822947<117>

22668087948353567565904107786791717805911245941992313013<56>
4862242115508238125345457419625722788001039034862505270628919<61>

Number: 65553_144
N=110217731900529447653474164119681216660909871112734753012110542294173220474143695570691679432969528601793942017822947
  ( 117 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=22668087948353567565904107786791717805911245941992313013 (pp56)
 r2=4862242115508238125345457419625722788001039034862505270628919 (pp61)
Version: Msieve-1.40
Total time: 12.40 hours.
Scaled time: 22.59 units (timescale=1.822).
Factorization parameters were as follows:
name: 65553_144
n: 110217731900529447653474164119681216660909871112734753012110542294173220474143695570691679432969528601793942017822947
m: 100000000000000000000000000000
deg: 5
c5: 59
c0: -230
skew: 1.31
type: snfs
lss: 1
rlim: 1960000
alim: 1960000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1960000/1960000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [980000, 2580001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 352117 x 352343
Total sieving time: 12.03 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.28 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,146.000,5,0,0,0,0,0,0,0,0,1960000,1960000,26,26,49,49,2.3,2.3,100000
total time: 12.40 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU1: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU2: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU3: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
Memory: 3109164k/3145344k available (2732k kernel code, 34856k reserved, 1420k data, 412k init, 2227840k highmem)
Calibrating delay loop (skipped), value calculated using timer frequency.. 4787.99 BogoMIPS (lpj=2393997)
Calibrating delay using timer specific routine.. 4787.75 BogoMIPS (lpj=2393879)
Calibrating delay using timer specific routine.. 4787.78 BogoMIPS (lpj=2393890)
Calibrating delay using timer specific routine.. 4787.77 BogoMIPS (lpj=2393888)
Total of 4 processors activated (19151.30 BogoMIPS).

34247957656975103900080239566221342844665711445526442574166567394491219021931377573197330765975387413193<104>

685951288658961228928569473938697<33>
49927681780334666208187600144807819546142020708870361608063723439122369<71>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=2715254249
Step 1 took 4448ms
Step 2 took 2821ms
********** Factor found in step 2: 685951288658961228928569473938697
Found probable prime factor of 33 digits: 685951288658961228928569473938697
Probable prime cofactor 49927681780334666208187600144807819546142020708870361608063723439122369 has 71 digits

GMP-ECM 6.2.3

7925340621455396556581145145490049625685767373956068033649201654737271721423010028135320022942647034809447167300873<115>

13740345644921944219850244595159735469<38>
576793395614788307245751528168087790216527747222217724082610560048684629879117<78>

Number: 65553_151
N=7925340621455396556581145145490049625685767373956068033649201654737271721423010028135320022942647034809447167300873
  ( 115 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=13740345644921944219850244595159735469
 r2=576793395614788307245751528168087790216527747222217724082610560048684629879117
Version: 
Total time: 10.65 hours.
Scaled time: 25.38 units (timescale=2.384).
Factorization parameters were as follows:
n: 7925340621455396556581145145490049625685767373956068033649201654737271721423010028135320022942647034809447167300873
m: 1000000000000000000000000000000
deg: 5
c5: 590
c0: -23
skew: 0.52
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1100000, 2100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 8204986
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 419280 x 419528
Total sieving time: 9.78 hours.
Total relation processing time: 0.40 hours.
Matrix solve time: 0.35 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,2200000,2200000,27,27,50,50,2.4,2.4,100000
total time: 10.65 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673799)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672378)
Calibrating delay using timer specific routine.. 5237.88 BogoMIPS (lpj=2618943)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

253293132707999812820668032732341712184301235083073707872307633525192148599782683078344424567373182782764218008970011381018556083178030298151775820981<150>

288769991604994884130111881413557783<36>
1875491618469598154603619066440565706645821058259017<52>
467688000648417307991081251498306258138477804436279588786510971<63>

Number: 65553_154
N=253293132707999812820668032732341712184301235083073707872307633525192148599782683078344424567373182782764218008970011381018556083178030298151775820981
  ( 150 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=288769991604994884130111881413557783 (pp36)
 r2=1875491618469598154603619066440565706645821058259017 (pp52)
 r3=467688000648417307991081251498306258138477804436279588786510971 (pp63)
Version: Msieve-1.40
Total time: 29.11 hours.
Scaled time: 52.97 units (timescale=1.820).
Factorization parameters were as follows:
name: 65553_154
n: 253293132707999812820668032732341712184301235083073707872307633525192148599782683078344424567373182782764218008970011381018556083178030298151775820981
m: 10000000000000000000000000000000
deg: 5
c5: 59
c0: -230
skew: 1.31
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1450000, 2750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 514980 x 515210
Total sieving time: 28.24 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.59 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,156.000,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 29.11 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU1: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU2: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU3: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
Memory: 3109164k/3145344k available (2732k kernel code, 34856k reserved, 1420k data, 412k init, 2227840k highmem)
Calibrating delay loop (skipped), value calculated using timer frequency.. 4787.99 BogoMIPS (lpj=2393997)
Calibrating delay using timer specific routine.. 4787.75 BogoMIPS (lpj=2393879)
Calibrating delay using timer specific routine.. 4787.78 BogoMIPS (lpj=2393890)
Calibrating delay using timer specific routine.. 4787.77 BogoMIPS (lpj=2393888)
Total of 4 processors activated (19151.30 BogoMIPS).

2060847392504104229976597156729190680778231862796465122777603129693667260470152642425512592126864368297879772258898319885430856823500646197911208914038213<154>

438937215039323846231549903527101748549<39>

4695084677018045603842074288842484708119800217816928379866927797835782641849930394785264137027431830668104989163137<115>

C154=P39*C115
C154=438937215039323846231549903527101748549<39>*4695084677018045603842074288842484708119800217816928379866927797835782641849930394785264137027431830668104989163137<115>

ECMNET

4695084677018045603842074288842484708119800217816928379866927797835782641849930394785264137027431830668104989163137<115>

3545667648843745074148059792301669<34>
1324175061514614755674758049165946651544932139925601108255858176964575458176417773<82>

GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 4695084677018045603842074288842484708119800217816928379866927797835782641849930394785264137027431830668104989163137 (115 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3686906529
Step 1 took 3448ms
********** Factor found in step 1: 3545667648843745074148059792301669
Found probable prime factor of 34 digits: 3545667648843745074148059792301669
Probable prime cofactor 1324175061514614755674758049165946651544932139925601108255858176964575458176417773 has 82 digits

Core 2 Quad Q6600

23779991784511114479490852640978328737126836338072236250440978127472921436941578643368685604269870370029495705310629134612847124288594126179<140>

138950783711105562238509825389437166829461858261<48>
171139673698799815993773112254601075308395029276065689096470124575931764320838076484006014039<93>

Number: 65553_158
N=23779991784511114479490852640978328737126836338072236250440978127472921436941578643368685604269870370029495705310629134612847124288594126179
  ( 140 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=138950783711105562238509825389437166829461858261 (pp48)
 r2=171139673698799815993773112254601075308395029276065689096470124575931764320838076484006014039 (pp93)
Version: Msieve-1.40
Total time: 39.17 hours.
Scaled time: 71.37 units (timescale=1.822).
Factorization parameters were as follows:
name: 65553_158
n: 23779991784511114479490852640978328737126836338072236250440978127472921436941578643368685604269870370029495705310629134612847124288594126179
m: 50000000000000000000000000000000
deg: 5
c5: 472
c0: -575
skew: 1.04
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 3400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 705731 x 705958
Total sieving time: 37.90 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 1.13 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,161.000,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 39.17 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU1: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU2: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU3: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
Memory: 3109164k/3145344k available (2732k kernel code, 34856k reserved, 1420k data, 412k init, 2227840k highmem)
Calibrating delay loop (skipped), value calculated using timer frequency.. 4787.99 BogoMIPS (lpj=2393997)
Calibrating delay using timer specific routine.. 4787.75 BogoMIPS (lpj=2393879)
Calibrating delay using timer specific routine.. 4787.78 BogoMIPS (lpj=2393890)
Calibrating delay using timer specific routine.. 4787.77 BogoMIPS (lpj=2393888)
Total of 4 processors activated (19151.30 BogoMIPS).

51704912432402122505900093785358538558673042519303994659725248170064099055802914178971454527685216191262821502327487738146934275424390435545339674419237<152>

77920359733043141718152669423045508379211105199251<50>
98172545308143954510401342127697808960301693255503<50>
6759130118453366726339492334933329085640787085108329<52>

Number: 65553_160
N=51704912432402122505900093785358538558673042519303994659725248170064099055802914178971454527685216191262821502327487738146934275424390435545339674419237
  ( 152 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=77920359733043141718152669423045508379211105199251
 r2=98172545308143954510401342127697808960301693255503
 r3=6759130118453366726339492334933329085640787085108329
Version: 
Total time: 17.56 hours.
Scaled time: 41.96 units (timescale=2.389).
Factorization parameters were as follows:
n: 51704912432402122505900093785358538558673042519303994659725248170064099055802914178971454527685216191262821502327487738146934275424390435545339674419237
m: 100000000000000000000000000000000
deg: 5
c5: 59
c0: -23
skew: 0.83
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 3200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9702530
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 599904 x 600152
Total sieving time: 15.85 hours.
Total relation processing time: 0.72 hours.
Matrix solve time: 0.77 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 17.56 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673799)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672378)
Calibrating delay using timer specific routine.. 5237.88 BogoMIPS (lpj=2618943)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

2395336679433101895019383795965100530165054971110873423475461569832676195124708259167244412033<94>

50470778712824982105703199363588480917<38>
47459871643003397735547411318564745587048731951584716349<56>

Sun Sep 06 18:55:07 2009  Msieve v. 1.42
Sun Sep 06 18:55:07 2009  random seeds: c648a480 f38ba1b4
Sun Sep 06 18:55:07 2009  factoring 2395336679433101895019383795965100530165054971110873423475461569832676195124708259167244412033 (94 digits)
Sun Sep 06 18:55:08 2009  searching for 15-digit factors
Sun Sep 06 18:55:08 2009  commencing quadratic sieve (94-digit input)
Sun Sep 06 18:55:08 2009  using multiplier of 7
Sun Sep 06 18:55:08 2009  using 32kb Intel Core sieve core
Sun Sep 06 18:55:08 2009  sieve interval: 36 blocks of size 32768
Sun Sep 06 18:55:08 2009  processing polynomials in batches of 6
Sun Sep 06 18:55:08 2009  using a sieve bound of 2025307 (75271 primes)
Sun Sep 06 18:55:08 2009  using large prime bound of 271391138 (28 bits)
Sun Sep 06 18:55:08 2009  using double large prime bound of 1515207662043732 (42-51 bits)
Sun Sep 06 18:55:08 2009  using trial factoring cutoff of 51 bits
Sun Sep 06 18:55:08 2009  polynomial 'A' values have 12 factors
Sun Sep 06 20:53:33 2009  75497 relations (19243 full + 56254 combined from 1061192 partial), need 75367
Sun Sep 06 20:53:34 2009  begin with 1080435 relations
Sun Sep 06 20:53:34 2009  reduce to 193426 relations in 10 passes
Sun Sep 06 20:53:34 2009  attempting to read 193426 relations
Sun Sep 06 20:53:36 2009  recovered 193426 relations
Sun Sep 06 20:53:36 2009  recovered 174118 polynomials
Sun Sep 06 20:53:36 2009  attempting to build 75497 cycles
Sun Sep 06 20:53:36 2009  found 75497 cycles in 6 passes
Sun Sep 06 20:53:36 2009  distribution of cycle lengths:
Sun Sep 06 20:53:36 2009     length 1 : 19243
Sun Sep 06 20:53:36 2009     length 2 : 13536
Sun Sep 06 20:53:36 2009     length 3 : 12791
Sun Sep 06 20:53:36 2009     length 4 : 10134
Sun Sep 06 20:53:36 2009     length 5 : 7578
Sun Sep 06 20:53:36 2009     length 6 : 4890
Sun Sep 06 20:53:36 2009     length 7 : 3169
Sun Sep 06 20:53:36 2009     length 9+: 4156
Sun Sep 06 20:53:36 2009  largest cycle: 21 relations
Sun Sep 06 20:53:37 2009  matrix is 75271 x 75497 (19.8 MB) with weight 4877005 (64.60/col)
Sun Sep 06 20:53:37 2009  sparse part has weight 4877005 (64.60/col)
Sun Sep 06 20:53:37 2009  filtering completed in 3 passes
Sun Sep 06 20:53:37 2009  matrix is 71038 x 71101 (18.7 MB) with weight 4622979 (65.02/col)
Sun Sep 06 20:53:37 2009  sparse part has weight 4622979 (65.02/col)
Sun Sep 06 20:53:37 2009  saving the first 48 matrix rows for later
Sun Sep 06 20:53:37 2009  matrix is 70990 x 71101 (11.8 MB) with weight 3654990 (51.41/col)
Sun Sep 06 20:53:37 2009  sparse part has weight 2663763 (37.46/col)
Sun Sep 06 20:53:37 2009  matrix includes 64 packed rows
Sun Sep 06 20:53:37 2009  using block size 28440 for processor cache size 6144 kB
Sun Sep 06 20:53:38 2009  commencing Lanczos iteration
Sun Sep 06 20:53:38 2009  memory use: 11.8 MB
Sun Sep 06 20:54:03 2009  lanczos halted after 1124 iterations (dim = 70985)
Sun Sep 06 20:54:03 2009  recovered 16 nontrivial dependencies
Sun Sep 06 20:54:03 2009  prp38 factor: 50470778712824982105703199363588480917
Sun Sep 06 20:54:03 2009  prp56 factor: 47459871643003397735547411318564745587048731951584716349
Sun Sep 06 20:54:03 2009  elapsed time 01:58:56

msieve 1.42

222646814478374450338234698285148075726867288214094116966184385653080985735321919403590210157704609540249103726431<114>

27815983394117839176196626068399018951259031327<47>
8004276222190184739443821823422506202968291528399513054947594684353<67>

Number: 65553_164
N=222646814478374450338234698285148075726867288214094116966184385653080985735321919403590210157704609540249103726431
  ( 114 digits)
Divisors found:
 r1=27815983394117839176196626068399018951259031327
 r2=8004276222190184739443821823422506202968291528399513054947594684353
Version: 
Total time: 14.58 hours.
Scaled time: 34.66 units (timescale=2.377).
Factorization parameters were as follows:
name: 65553_164
n: 222646814478374450338234698285148075726867288214094116966184385653080985735321919403590210157704609540249103726431
skew: 14589.88
# norm 4.00e+15
c5: 39480
c4: 8823160412
c3: -211860480826100
c2: -1714619343608612451
c1: 3854389669948840000634
c0: 19650474694996136084335000
# alpha -5.63
Y1: 2045091898741
Y0: -5626532258234618459367
# Murphy_E 6.59e-10
# M 67252567476305861782973305505120502252366792284866018311366103807602776466695151389546156372623498063127017024007
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, 2450001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9485177
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 463525 x 463773
Polynomial selection time: 1.15 hours.
Total sieving time: 12.23 hours.
Total relation processing time: 0.70 hours.
Matrix solve time: 0.43 hours.
Time per square root: 0.08 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: 14.58 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673799)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672378)
Calibrating delay using timer specific routine.. 5237.88 BogoMIPS (lpj=2618943)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

96647192186267666218374132506936329952557529182361162213091431954136502206263711389409088399037651233385794443350281121504327314015274509754243<143>

2064990475929912749997390361<28>
46802730236683154984816134421376388063144540153731467205541612475533926974676458033603066779475822373135228517421563<116>

Number: 65553_165
N=96647192186267666218374132506936329952557529182361162213091431954136502206263711389409088399037651233385794443350281121504327314015274509754243
  ( 143 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=2064990475929912749997390361 (pp28)
 r2=46802730236683154984816134421376388063144540153731467205541612475533926974676458033603066779475822373135228517421563 (pp116)
Version: Msieve-1.40
Total time: 51.38 hours.
Scaled time: 93.56 units (timescale=1.821).
Factorization parameters were as follows:
name: 65553_165
n: 96647192186267666218374132506936329952557529182361162213091431954136502206263711389409088399037651233385794443350281121504327314015274509754243
m: 1000000000000000000000000000000000
deg: 5
c5: 59
c0: -23
skew: 0.83
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2100000, 4200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 816412 x 816637
Total sieving time: 49.26 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 1.54 hours.
Time per square root: 0.50 hours.
Prototype def-par.txt line would be:
snfs,166.000,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 51.38 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU1: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU2: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU3: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
Memory: 3109164k/3145344k available (2732k kernel code, 34856k reserved, 1420k data, 412k init, 2227840k highmem)
Calibrating delay loop (skipped), value calculated using timer frequency.. 4787.99 BogoMIPS (lpj=2393997)
Calibrating delay using timer specific routine.. 4787.75 BogoMIPS (lpj=2393879)
Calibrating delay using timer specific routine.. 4787.78 BogoMIPS (lpj=2393890)
Calibrating delay using timer specific routine.. 4787.77 BogoMIPS (lpj=2393888)
Total of 4 processors activated (19151.30 BogoMIPS).

64842290361578195406088581162765139026266622705791845257720628640509946147928343774041103417958017364545554456533685020331904604901637542587097483239916474337839323<164>

13762016883863372331245726248307835934280238168059759413862859606014645511587<77>
4711685133710953668512566356995788489413041337701567967488467192158358794694291911725929<88>

N=64842290361578195406088581162765139026266622705791845257720628640509946147928343774041103417958017364545554456533685020331904604901637542587097483239916474337839323
  ( 164 digits)
SNFS difficulty: 168 digits.
Divisors found:
 r1=13762016883863372331245726248307835934280238168059759413862859606014645511587 (pp77)
 r2=4711685133710953668512566356995788489413041337701567967488467192158358794694291911725929 (pp88)
Version: Msieve-1.40
Total time: 58.57 hours.
Scaled time: 106.78 units (timescale=1.823).
Factorization parameters were as follows:
n: 64842290361578195406088581162765139026266622705791845257720628640509946147928343774041103417958017364545554456533685020331904604901637542587097483239916474337839323
m: 2000000000000000000000000000000000
deg: 5
c5: 295
c0: -368
skew: 1.05
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2300000, 5400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 945033 x 945257
Total sieving time: 55.42 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 2.67 hours.
Time per square root: 0.37 hours.
Prototype def-par.txt line would be:
snfs,168.000,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
total time: 58.57 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve 1.42

22060865602545981243055564636242542421973027626548743656887041186534561695216883812435091<89>

56774832039193096194261868776283784454786901<44>
388567694701708852377210234670993803512837191<45>

Sun Sep 06 18:03:13 2009  
Sun Sep 06 18:03:13 2009  
Sun Sep 06 18:03:13 2009  Msieve v. 1.42
Sun Sep 06 18:03:13 2009  random seeds: b2e0af38 b093f247
Sun Sep 06 18:03:13 2009  factoring 22060865602545981243055564636242542421973027626548743656887041186534561695216883812435091 (89 digits)
Sun Sep 06 18:03:13 2009  searching for 15-digit factors
Sun Sep 06 18:03:14 2009  commencing quadratic sieve (89-digit input)
Sun Sep 06 18:03:14 2009  using multiplier of 1
Sun Sep 06 18:03:14 2009  using 32kb Intel Core sieve core
Sun Sep 06 18:03:14 2009  sieve interval: 30 blocks of size 32768
Sun Sep 06 18:03:14 2009  processing polynomials in batches of 7
Sun Sep 06 18:03:14 2009  using a sieve bound of 1545259 (58667 primes)
Sun Sep 06 18:03:14 2009  using large prime bound of 123620720 (26 bits)
Sun Sep 06 18:03:14 2009  using double large prime bound of 367929134797280 (42-49 bits)
Sun Sep 06 18:03:14 2009  using trial factoring cutoff of 49 bits
Sun Sep 06 18:03:14 2009  polynomial 'A' values have 11 factors
Sun Sep 06 18:53:21 2009  58771 relations (15246 full + 43525 combined from 629283 partial), need 58763
Sun Sep 06 18:53:21 2009  begin with 644529 relations
Sun Sep 06 18:53:22 2009  reduce to 144345 relations in 10 passes
Sun Sep 06 18:53:22 2009  attempting to read 144345 relations
Sun Sep 06 18:53:23 2009  recovered 144345 relations
Sun Sep 06 18:53:23 2009  recovered 125300 polynomials
Sun Sep 06 18:53:23 2009  attempting to build 58771 cycles
Sun Sep 06 18:53:23 2009  found 58771 cycles in 5 passes
Sun Sep 06 18:53:23 2009  distribution of cycle lengths:
Sun Sep 06 18:53:23 2009     length 1 : 15246
Sun Sep 06 18:53:23 2009     length 2 : 11254
Sun Sep 06 18:53:23 2009     length 3 : 10180
Sun Sep 06 18:53:23 2009     length 4 : 7937
Sun Sep 06 18:53:23 2009     length 5 : 5742
Sun Sep 06 18:53:23 2009     length 6 : 3762
Sun Sep 06 18:53:23 2009     length 7 : 2086
Sun Sep 06 18:53:23 2009     length 9+: 2564
Sun Sep 06 18:53:23 2009  largest cycle: 19 relations
Sun Sep 06 18:53:23 2009  matrix is 58667 x 58771 (14.5 MB) with weight 3563385 (60.63/col)
Sun Sep 06 18:53:23 2009  sparse part has weight 3563385 (60.63/col)
Sun Sep 06 18:53:24 2009  filtering completed in 3 passes
Sun Sep 06 18:53:24 2009  matrix is 55220 x 55284 (13.8 MB) with weight 3387006 (61.27/col)
Sun Sep 06 18:53:24 2009  sparse part has weight 3387006 (61.27/col)
Sun Sep 06 18:53:24 2009  saving the first 48 matrix rows for later
Sun Sep 06 18:53:24 2009  matrix is 55172 x 55284 (9.9 MB) with weight 2793695 (50.53/col)
Sun Sep 06 18:53:24 2009  sparse part has weight 2261581 (40.91/col)
Sun Sep 06 18:53:24 2009  matrix includes 64 packed rows
Sun Sep 06 18:53:24 2009  using block size 22113 for processor cache size 6144 kB
Sun Sep 06 18:53:24 2009  commencing Lanczos iteration
Sun Sep 06 18:53:24 2009  memory use: 9.4 MB
Sun Sep 06 18:53:39 2009  lanczos halted after 873 iterations (dim = 55172)
Sun Sep 06 18:53:39 2009  recovered 18 nontrivial dependencies
Sun Sep 06 18:53:40 2009  prp44 factor: 56774832039193096194261868776283784454786901
Sun Sep 06 18:53:40 2009  prp45 factor: 388567694701708852377210234670993803512837191
Sun Sep 06 18:53:40 2009  elapsed time 00:50:27

msieve 1.42

8744775906607022459995270822593853027189846828093983416419576726641168840029400957323320057127359362086693088190612431457148333947328438683367307389<148>

626993149292111216903692304785352393<36>

13947163404384980904449611579937234571143384609283321436478575782877294124024028675585055821628876528177448253973<113>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=565118240
Step 1 took 8960ms
Step 2 took 5169ms
********** Factor found in step 2: 626993149292111216903692304785352393
Found probable prime factor of 36 digits: 626993149292111216903692304785352393
Composite cofactor has 113 digits

13947163404384980904449611579937234571143384609283321436478575782877294124024028675585055821628876528177448253973<113>

110048503437674618577003803131929796931304105206341<51>
126736511344598905102072768628781352839776284565818193000471953<63>

Number: 65553_168
N=13947163404384980904449611579937234571143384609283321436478575782877294124024028675585055821628876528177448253973
  ( 113 digits)
Divisors found:
 r1=110048503437674618577003803131929796931304105206341
 r2=126736511344598905102072768628781352839776284565818193000471953
Version: 
Total time: 12.39 hours.
Scaled time: 29.60 units (timescale=2.389).
Factorization parameters were as follows:
name: 65553_168
n: 13947163404384980904449611579937234571143384609283321436478575782877294124024028675585055821628876528177448253973
skew: 30341.71
# norm 2.74e+15
c5: 11520
c4: 3547307216
c3: 31970109244044
c2: -1494195806439033348
c1: -18910051566890323672779
c0: 197314988295368160487900042
# alpha -5.67
Y1: 1335513367129
Y0: -4136166820263797078415
# Murphy_E 7.24e-10
# M 10761249407017046921767924501253986810419556514280555902620125284141451123916896917737311249044919496952507380243
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, 2100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 8481116
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 411853 x 412101
Polynomial selection time: 1.01 hours.
Total sieving time: 10.25 hours.
Total relation processing time: 0.62 hours.
Matrix solve time: 0.35 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
gnfs,112,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2400000,2400000,27,27,51,51,2.6,2.6,60000
total time: 12.39 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673799)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672378)
Calibrating delay using timer specific routine.. 5237.88 BogoMIPS (lpj=2618943)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

35075203614529457226086439569585637001367338445990131383389810356102490933951608108911479697996551929136198799120147434754176327210035075203614529457226086439569585637<167>

28430964259781917943980748374208784514853<41>
1233697291939774133711286527411120375881469802995317171773279409219618101136753281894577979510992906387685595566502805933883329<127>

N=35075203614529457226086439569585637001367338445990131383389810356102490933951608108911479697996551929136198799120147434754176327210035075203614529457226086439569585637
  ( 167 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=28430964259781917943980748374208784514853 (pp41)
 r2=1233697291939774133711286527411120375881469802995317171773279409219618101136753281894577979510992906387685595566502805933883329 (pp127)
Version: Msieve-1.40
Total time: 71.59 hours.
Scaled time: 131.66 units (timescale=1.839).
Factorization parameters were as follows:
n: 35075203614529457226086439569585637001367338445990131383389810356102490933951608108911479697996551929136198799120147434754176327210035075203614529457226086439569585637
m: 10000000000000000000000000000000000
deg: 5
c5: 59
c0: -230
skew: 1.31
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2550000, 6250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1065258 x 1065492
Total sieving time: 67.56 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 3.78 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,171.000,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 71.59 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve 1.42

47210492576980051919969620241336058295037600463797400543768445914656507947657413702322565040718380485912309763494762207206997<125>

3939505413495090956761042376399137073412235446161<49>
11983862851224098519918436287254449887181231289282031217252710412834706796677<77>

Number: 65553_171/65553_171
N=47210492576980051919969620241336058295037600463797400543768445914656507947657413702322565040718380485912309763494762207206997
  ( 125 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=3939505413495090956761042376399137073412235446161 (pp49)
 r2=11983862851224098519918436287254449887181231289282031217252710412834706796677 (pp77)
Version: Msieve v. 1.44
Total time: 94.81 hours.
Scaled time: 193.02 units (timescale=2.036).
Factorization parameters were as follows:
n: 47210492576980051919969620241336058295037600463797400543768445914656507947657413702322565040718380485912309763494762207206997
m: 10000000000000000000000000000000000
deg: 5
c5: 590
c0: -23
skew: 0.52
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4

Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2650000, 7050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1126410 x 1126640
Total sieving time: 92.79 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.67 hours.
Time per square root: 0.26 hours.
Prototype def-par.txt line would be:
snfs,172.000,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
total time: 94.81 hours.
 --------- CPU info (if available) ----------

71666880102477845222340193681159579394270719099865679844812506993126214977320483954580269468672258707252157648226049264362448441186509767032559<143>

27647054178045035024590372529<29>

2592206737142709885718286033118701376329525131139133587872249673847964893917667097442560727671516946385417518727071<115>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=3507598991
Step 1 took 6024ms
Step 2 took 3584ms
********** Factor found in step 2: 27647054178045035024590372529
Found probable prime factor of 29 digits: 27647054178045035024590372529
Composite cofactor has 115 digits

2592206737142709885718286033118701376329525131139133587872249673847964893917667097442560727671516946385417518727071<115>

14936440304226310362691079505554837839<38>
173549164616500844104280220544007979602810463123114581040836784586235411904689<78>

GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 2592206737142709885718286033118701376329525131139133587872249673847964893917667097442560727671516946385417518727071 (115 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4356979258
Step 1 took 3432ms
********** Factor found in step 1: 14936440304226310362691079505554837839
Found probable prime factor of 38 digits: 14936440304226310362691079505554837839
Probable prime cofactor 173549164616500844104280220544007979602810463123114581040836784586235411904689 has 78 digits

Core 2 Quad Q6600

20428937686150513716188331842654470818745885047506256942173091368357721595601970731854222314405131366557147229049758184503<122>

403844630858790500575868682495392203682876092519852009<54>
50586131707898714276738487374243579850913014442871160843064241211167<68>

Number: 65553_176
N=20428937686150513716188331842654470818745885047506256942173091368357721595601970731854222314405131366557147229049758184503
  ( 122 digits)
Divisors found:
 r1=403844630858790500575868682495392203682876092519852009 (pp54)
 r2=50586131707898714276738487374243579850913014442871160843064241211167 (pp68)
Version: Msieve-1.40
Total time: 78.97 hours.
Scaled time: 82.21 units (timescale=1.041).
Factorization parameters were as follows:
name: 65553_176
n: 20428937686150513716188331842654470818745885047506256942173091368357721595601970731854222314405131366557147229049758184503
skew: 158770.76
# norm 3.94e+016
c5: 20760
c4: -474624674
c3: -1380158940384592
c2: 5554901797311219178
c1: 16747120367105975305015272
c0: 124551652241894432233486857885
# alpha -5.72
Y1: 24618278168627
Y0: -250382448565819244511008
# Murphy_E 2.24e-010
# M 18715881824280198266006146453563496886158383900731234471211620004399319029508825653052462610260773931023761550378367199990
type: gnfs
rlim: 4700000
alim: 4700000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [2350000, 4750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 810844 x 811069
Polynomial selection time: 6.85 hours.
Total sieving time: 69.05 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 1.98 hours.
Time per square root: 0.89 hours.
Prototype def-par.txt line would be:
gnfs,121,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4700000,4700000,27,27,53,53,2.5,2.5,100000
total time: 78.97 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

17119020684776321555537049604042419389643485165322575462188242649049720405335583248502057400175008038613361297572790097713135891427433647887214135095297221351110699326125419<173>

265950273339045083658501704336465111<36>
64369253958059454454071720059779934517007813788573707868537817779248209579620751914898588371608462553066047076092102225842982124009465229<137>

Number: 65553_179
N=17119020684776321555537049604042419389643485165322575462188242649049720405335583248502057400175008038613361297572790097713135891427433647887214135095297221351110699326125419
  ( 173 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=265950273339045083658501704336465111 (pp36)
 r2=64369253958059454454071720059779934517007813788573707868537817779248209579620751914898588371608462553066047076092102225842982124009465229 (pp137)
Version: Msieve-1.40
Total time: 235.94 hours.
Scaled time: 429.64 units (timescale=1.821).
Factorization parameters were as follows:
name: 65553_179
n: 17119020684776321555537049604042419389643485165322575462188242649049720405335583248502057400175008038613361297572790097713135891427433647887214135095297221351110699326125419
m: 1000000000000000000000000000000000000
deg: 5
c5: 59
c0: -230
skew: 1.31
type: snfs
lss: 1
rlim: 7500000
alim: 7500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7500000/7500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3750000, 6850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1536395 x 1536620
Total sieving time: 229.72 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 5.89 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7500000,7500000,28,28,53,53,2.5,2.5,100000
total time: 235.94 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU1: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU2: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU3: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
Memory: 3109164k/3145344k available (2732k kernel code, 34856k reserved, 1420k data, 412k init, 2227840k highmem)
Calibrating delay loop (skipped), value calculated using timer frequency.. 4787.99 BogoMIPS (lpj=2393996)
Calibrating delay using timer specific routine.. 4787.75 BogoMIPS (lpj=2393875)
Calibrating delay using timer specific routine.. 4787.78 BogoMIPS (lpj=2393891)
Calibrating delay using timer specific routine.. 4787.76 BogoMIPS (lpj=2393884)
Total of 4 processors activated (19151.29 BogoMIPS).

301742421607555444863956701322951155972989678737656496146582682445282256640928006563688274818114479085590679353974019532159285961442689426457299545526688596294462901<165>

57131225447556471592464863335307967974017033<44>
5281567465842991207937714784996185864823628168117910555896120757037537978548681328213511709210909162046449596615934257997<121>

Number: 65553_181
N=301742421607555444863956701322951155972989678737656496146582682445282256640928006563688274818114479085590679353974019532159285961442689426457299545526688596294462901
  ( 165 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=57131225447556471592464863335307967974017033
 r2=5281567465842991207937714784996185864823628168117910555896120757037537978548681328213511709210909162046449596615934257997
Version: 
Total time: 73.74 hours.
Scaled time: 387.29 units (timescale=5.252).
Factorization parameters were as follows:
n: 301742421607555444863956701322951155972989678737656496146582682445282256640928006563688274818114479085590679353974019532159285961442689426457299545526688596294462901
m: 1000000000000000000000000000000000000
deg: 5
c5: 590
c0: -23
skew: 0.52
# Murphy_E = 6.258e-11
type: snfs
lss: 1
rlim: 6800000
alim: 6800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3400000, 6900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18703766
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1491237 x 1491485
Total sieving time: 69.16 hours.
Total relation processing time: 1.67 hours.
Matrix solve time: 2.60 hours.
Time per square root: 0.31 hours.
Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,6800000,6800000,28,28,53,53,2.5,2.5,100000
total time: 73.74 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49369348k/51380224k available (5326k kernel code, 1085960k absent, 924916k reserved, 7012k data, 1280k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400120)
Total of 12 processors activated (81602.88 BogoMIPS).

GGNFS / Msieve v1.39

Core i7 4930K

6228904311499177876991238158936291466447760741901313708627914465295388917516791664453216434483626586197976182303806131958041444599041823759072622822912550368591387<163>

207920500795939764115102193092217782873<39>
29958105562723879569650239422985086470882822192041683348615203179166111749014203503139980521154465333604689305386183218441619<125>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3472574511
Step 1 took 49037ms
Step 2 took 17878ms
********** Factor found in step 2: 207920500795939764115102193092217782873
Found probable prime factor of 39 digits: 207920500795939764115102193092217782873
Probable prime cofactor 29958105562723879569650239422985086470882822192041683348615203179166111749014203503139980521154465333604689305386183218441619 has 125 digits

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

C2D, Mac OS X, 3 GHz

54325082706354789244147884157393287836046764864736963442456744263211401784691296781763689457544659246240254018586004460093647152487<131>

537864844057359624847291754331147978083<39>
776657403616698039772996030898887190021<39>
130046225239590461392743611635298754997217503927033609<54>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1118099787
Step 1 took 38152ms
Step 2 took 13868ms
********** Factor found in step 2: 537864844057359624847291754331147978083
Found probable prime factor of 39 digits: 537864844057359624847291754331147978083
Composite cofactor 101001363644732632713992975105108019771451144136143646007278262873787714212299043412036415789 has 93 digits
--------------------
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2072657346
Step 1 took 23630ms
Step 2 took 10801ms
********** Factor found in step 2: 776657403616698039772996030898887190021
Found probable prime factor of 39 digits: 776657403616698039772996030898887190021
Probable prime cofactor 130046225239590461392743611635298754997217503927033609 has 54 digits

GMP-ECM 6.2.1

204774835279057737977357799002846169986956789600761683370530130777856473497985104790750360741985624582231168543856347358156041299554391370344987479567578912780218754733<168>

7386185884620867151389723180548625721770504571<46>
27724029489351096699702244023021223758955070687484370576331547655089551273717551395853819732211170749078788812902027717623<122>

GMP-ECM 6.2.3 [powered by GMP 4.2.1_MPIR_1.1.1] [ECM]
Input number is 204774835279057737977357799002846169986956789600761683370530130777856473497985104790750360741985624582231168543856347358156041299554391370344987479567578912780218754733 (168 digits)
[Sun Feb 07 01:42:07 2010]
Using MODMULN
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=856747853
dF=65536, k=5, d=690690, d2=17, i0=46
Expected number of curves to find a factor of n digits:
20       25      30      35      40      45      50      55      60      65
2       5       14      55      246     1277    7553    49797   358989  2841353
Step 1 took 164519ms
Using 21 small primes for NTT
Estimated memory usage: 234M
Initializing tables of differences for F took 46ms
Computing roots of F took 5070ms
Building F from its roots took 6864ms
Computing 1/F took 3182ms
Initializing table of differences for G took 62ms
Computing roots of G took 3978ms
Building G from its roots took 6006ms
Computing roots of G took 4025ms
Building G from its roots took 5912ms
Computing G * H took 1779ms
Reducing  G * H mod F took 1669ms
Computing roots of G took 4009ms
Building G from its roots took 5975ms
Computing G * H took 1779ms
Reducing  G * H mod F took 1731ms
Computing roots of G took 3963ms
Building G from its roots took 5865ms
Computing G * H took 1841ms
Reducing  G * H mod F took 1763ms
Computing roots of G took 3915ms
Building G from its roots took 5975ms
Computing G * H took 1794ms
Reducing  G * H mod F took 1654ms
Computing polyeval(F,G) took 11294ms
Computing product of all F(g_i) took 47ms
Step 2 took 90668ms
********** Factor found in step 2: 7386185884620867151389723180548625721770504571
Found probable prime factor of 46 digits: 7386185884620867151389723180548625721770504571
Probable prime cofactor 27724029489351096699702244023021223758955070687484370576331547655089551273717551395853819732211170749078788812902027717623 has 122 digits

GMP-ECM

273165916726911453734391709538117272803597881143221946378450974373181619096373755102945418814909534766812214395113287155006249328384797806304809849458187<153>

331965619078523112833952393837019454540335455390867641059<57>
822874120172959285726246023775204978361449997068802492845830998542147716987246232525358148958393<96>

273165916726911453734391709538117272803597881143221946378450974373181619096373755102945418814909534766812214395113287155006249328384797806304809849458187=331965619078523112833952393837019454540335455390867641059*822874120172959285726246023775204978361449997068802492845830998542147716987246232525358148958393

cado polynomial
n: 273165916726911453734391709538117272803597881143221946378450974373181619096373755102945418814909534766812214395113287155006249328384797806304809849458187
skew: 0.70
type: snfs
c0: -155
c5: 944
Y0: 50000000000000000000000000000000000000
Y1: -1
# f(x) = 944*x^5-155
# g(x) = -x+50000000000000000000000000000000000000

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

cado log (extracts)
Info:Square Root: Factors: 822874120172959285726246023775204978361449997068802492845830998542147716987246232525358148958393 331965619078523112833952393837019454540335455390867641059
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 4.89/2.0657
Info:Generate Free Relations: Total cpu/real time for freerel: 99.16/25.6731
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 27990729
Info:Lattice Sieving: Average J: 1894.1 for 3458521 special-q, max bucket fill -bkmult 1.0,1s:1.081880
Info:Lattice Sieving: Total time: 767114s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 57.05/118.455
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 117.7s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 474.05/443.869
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 381.2s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 389.76/406.054
Info:Filtering - Merging: Merged matrix has 2351530 rows and total weight 403436019 (171.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 331.06/95.8101
Info:Filtering - Merging: Total cpu/real time for replay: 90.47/78.3866
Info:Linear Algebra: Total cpu/real time for bwc: 97367.8/25028.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 15965.48, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (73728 iterations)
Info:Linear Algebra: Lingen CPU time 473.41, WCT time 138.45
Info:Linear Algebra: Mksol: WCT time 8693.35, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (36864 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 82.8/35.2577
Info:Square Root: Total cpu/real time for sqrt: 1256.15/380.904
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.5211e+06/340728
822874120172959285726246023775204978361449997068802492845830998542147716987246232525358148958393 331965619078523112833952393837019454540335455390867641059

cado-nfs-3.0.0

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

7283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617<190>

595930134278907987018097882864219937198080120308454580288752400192693<69>
12222826466222811769941835851841951524169028228224503246579993591785109785182270777425388414418679194209613457906566723669<122>

Sieving ~ 12 cpu-days

Sun Sep 13 07:57:55 2009  Msieve v. 1.42
Sun Sep 13 07:57:55 2009  random seeds: 8c162888 c6fe34f8
Sun Sep 13 07:57:55 2009  factoring 7283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617283950617 (190 digits)
Sun Sep 13 07:57:57 2009  searching for 15-digit factors
Sun Sep 13 07:57:58 2009  commencing number field sieve (190-digit input)
Sun Sep 13 07:57:58 2009  R0: -100000000000000000000000000000000000000
Sun Sep 13 07:57:58 2009  R1:  1
Sun Sep 13 07:57:58 2009  A0: -23
Sun Sep 13 07:57:58 2009  A1:  0
Sun Sep 13 07:57:58 2009  A2:  0
Sun Sep 13 07:57:58 2009  A3:  0
Sun Sep 13 07:57:58 2009  A4:  0
Sun Sep 13 07:57:58 2009  A5:  59
Sun Sep 13 07:57:58 2009  skew 0.83, size 2.553821e-013, alpha 0.725916, combined = 3.581467e-011
Sun Sep 13 07:57:58 2009  
Sun Sep 13 07:57:58 2009  commencing relation filtering
Sun Sep 13 07:57:58 2009  estimated available RAM is 4096.0 MB
Sun Sep 13 07:57:58 2009  commencing duplicate removal, pass 1
Sun Sep 13 08:00:18 2009  error -11 reading relation 17862868
Sun Sep 13 08:01:03 2009  found 4163747 hash collisions in 23615959 relations
Sun Sep 13 08:01:54 2009  added 717815 free relations
Sun Sep 13 08:01:54 2009  commencing duplicate removal, pass 2
Sun Sep 13 08:02:38 2009  found 3990250 duplicates and 20343523 unique relations
Sun Sep 13 08:02:38 2009  memory use: 106.6 MB
Sun Sep 13 08:02:38 2009  reading ideals above 17891328
Sun Sep 13 08:02:43 2009  commencing singleton removal, initial pass
Sun Sep 13 08:05:59 2009  memory use: 298.4 MB
Sun Sep 13 08:05:59 2009  reading all ideals from disk
Sun Sep 13 08:05:59 2009  memory use: 344.9 MB
Sun Sep 13 08:06:01 2009  commencing in-memory singleton removal
Sun Sep 13 08:06:03 2009  begin with 20343523 relations and 19743339 unique ideals
Sun Sep 13 08:06:21 2009  reduce to 9359078 relations and 6668121 ideals in 16 passes
Sun Sep 13 08:06:21 2009  max relations containing the same ideal: 28
Sun Sep 13 08:06:23 2009  reading ideals above 100000
Sun Sep 13 08:06:23 2009  commencing singleton removal, initial pass
Sun Sep 13 08:08:26 2009  memory use: 149.2 MB
Sun Sep 13 08:08:26 2009  reading all ideals from disk
Sun Sep 13 08:08:27 2009  memory use: 366.9 MB
Sun Sep 13 08:08:29 2009  keeping 8915335 ideals with weight <= 200, target excess is 49957
Sun Sep 13 08:08:31 2009  commencing in-memory singleton removal
Sun Sep 13 08:08:32 2009  begin with 9361029 relations and 8915335 unique ideals
Sun Sep 13 08:08:56 2009  reduce to 9326998 relations and 8872064 ideals in 12 passes
Sun Sep 13 08:08:56 2009  max relations containing the same ideal: 200
Sun Sep 13 08:09:05 2009  removing 1450945 relations and 1252453 ideals in 198492 cliques
Sun Sep 13 08:09:06 2009  commencing in-memory singleton removal
Sun Sep 13 08:09:07 2009  begin with 7876053 relations and 8872064 unique ideals
Sun Sep 13 08:09:24 2009  reduce to 7710435 relations and 7449485 ideals in 10 passes
Sun Sep 13 08:09:24 2009  max relations containing the same ideal: 184
Sun Sep 13 08:09:31 2009  removing 1087103 relations and 888611 ideals in 198492 cliques
Sun Sep 13 08:09:32 2009  commencing in-memory singleton removal
Sun Sep 13 08:09:33 2009  begin with 6623332 relations and 7449485 unique ideals
Sun Sep 13 08:09:45 2009  reduce to 6509266 relations and 6443963 ideals in 9 passes
Sun Sep 13 08:09:45 2009  max relations containing the same ideal: 163
Sun Sep 13 08:09:53 2009  relations with 0 large ideals: 1039
Sun Sep 13 08:09:53 2009  relations with 1 large ideals: 94
Sun Sep 13 08:09:53 2009  relations with 2 large ideals: 1531
Sun Sep 13 08:09:53 2009  relations with 3 large ideals: 18363
Sun Sep 13 08:09:53 2009  relations with 4 large ideals: 124425
Sun Sep 13 08:09:53 2009  relations with 5 large ideals: 496441
Sun Sep 13 08:09:53 2009  relations with 6 large ideals: 1286558
Sun Sep 13 08:09:53 2009  relations with 7+ large ideals: 4580815
Sun Sep 13 08:09:53 2009  commencing 2-way merge
Sun Sep 13 08:10:03 2009  reduce to 4032036 relation sets and 3966734 unique ideals
Sun Sep 13 08:10:03 2009  ignored 1 oversize relation sets
Sun Sep 13 08:10:03 2009  commencing full merge
Sun Sep 13 08:11:55 2009  memory use: 432.4 MB
Sun Sep 13 08:11:56 2009  found 2083563 cycles, need 2070934
Sun Sep 13 08:11:56 2009  weight of 2070934 cycles is about 145206036 (70.12/cycle)
Sun Sep 13 08:11:56 2009  distribution of cycle lengths:
Sun Sep 13 08:11:56 2009  1 relations: 265751
Sun Sep 13 08:11:56 2009  2 relations: 255767
Sun Sep 13 08:11:56 2009  3 relations: 245138
Sun Sep 13 08:11:56 2009  4 relations: 217974
Sun Sep 13 08:11:56 2009  5 relations: 196631
Sun Sep 13 08:11:56 2009  6 relations: 167146
Sun Sep 13 08:11:56 2009  7 relations: 143957
Sun Sep 13 08:11:56 2009  8 relations: 121627
Sun Sep 13 08:11:56 2009  9 relations: 99995
Sun Sep 13 08:11:56 2009  10+ relations: 356948
Sun Sep 13 08:11:56 2009  heaviest cycle: 24 relations
Sun Sep 13 08:11:57 2009  commencing cycle optimization
Sun Sep 13 08:12:02 2009  start with 11830058 relations
Sun Sep 13 08:12:31 2009  pruned 283532 relations
Sun Sep 13 08:12:31 2009  memory use: 308.4 MB
Sun Sep 13 08:12:31 2009  distribution of cycle lengths:
Sun Sep 13 08:12:31 2009  1 relations: 265751
Sun Sep 13 08:12:31 2009  2 relations: 261074
Sun Sep 13 08:12:31 2009  3 relations: 253204
Sun Sep 13 08:12:31 2009  4 relations: 222854
Sun Sep 13 08:12:31 2009  5 relations: 200968
Sun Sep 13 08:12:31 2009  6 relations: 169433
Sun Sep 13 08:12:31 2009  7 relations: 145141
Sun Sep 13 08:12:31 2009  8 relations: 120987
Sun Sep 13 08:12:31 2009  9 relations: 98774
Sun Sep 13 08:12:31 2009  10+ relations: 332748
Sun Sep 13 08:12:31 2009  heaviest cycle: 24 relations
Sun Sep 13 08:12:39 2009  RelProcTime: 881
Sun Sep 13 08:12:39 2009  
Sun Sep 13 08:12:39 2009  commencing linear algebra
Sun Sep 13 08:12:40 2009  read 2070934 cycles
Sun Sep 13 08:12:45 2009  cycles contain 6402908 unique relations
Sun Sep 13 08:18:40 2009  read 6402908 relations
Sun Sep 13 08:18:51 2009  using 20 quadratic characters above 268435292
Sun Sep 13 08:19:24 2009  building initial matrix
Sun Sep 13 08:20:47 2009  memory use: 706.9 MB
Sun Sep 13 08:20:52 2009  read 2070934 cycles
Sun Sep 13 08:24:47 2009  matrix is 2070756 x 2070934 (589.3 MB) with weight 184162812 (88.93/col)
Sun Sep 13 08:24:47 2009  sparse part has weight 139977590 (67.59/col)
Sun Sep 13 08:25:23 2009  filtering completed in 2 passes
Sun Sep 13 08:25:24 2009  matrix is 2069505 x 2069683 (589.2 MB) with weight 184122195 (88.96/col)
Sun Sep 13 08:25:24 2009  sparse part has weight 139964532 (67.63/col)
Sun Sep 13 08:25:36 2009  read 2069683 cycles
Sun Sep 13 08:35:19 2009  matrix is 2069505 x 2069683 (589.2 MB) with weight 184122195 (88.96/col)
Sun Sep 13 08:35:19 2009  sparse part has weight 139964532 (67.63/col)
Sun Sep 13 08:35:19 2009  saving the first 48 matrix rows for later
Sun Sep 13 08:35:20 2009  matrix is 2069457 x 2069683 (558.5 MB) with weight 146281012 (70.68/col)
Sun Sep 13 08:35:20 2009  sparse part has weight 133994588 (64.74/col)
Sun Sep 13 08:35:20 2009  matrix includes 64 packed rows
Sun Sep 13 08:35:20 2009  using block size 65536 for processor cache size 6144 kB
Sun Sep 13 08:35:35 2009  commencing Lanczos iteration (8 threads)
Sun Sep 13 08:35:35 2009  memory use: 694.2 MB
Sun Sep 13 13:42:19 2009  lanczos halted after 32726 iterations (dim = 2069455)
Sun Sep 13 13:42:24 2009  recovered 34 nontrivial dependencies
Sun Sep 13 13:42:28 2009  BLanczosTime: 19789
Sun Sep 13 13:42:28 2009  
Sun Sep 13 13:42:28 2009  commencing square root phase
Sun Sep 13 13:42:28 2009  reading relations for dependency 1
Sun Sep 13 13:42:29 2009  read 1035770 cycles
Sun Sep 13 13:42:31 2009  cycles contain 3948645 unique relations
Sun Sep 13 13:46:04 2009  read 3948645 relations
Sun Sep 13 13:46:27 2009  multiplying 3203982 relations
Sun Sep 13 13:52:07 2009  multiply complete, coefficients have about 90.91 million bits
Sun Sep 13 13:52:08 2009  initial square root is modulo 3350881
Sun Sep 13 13:59:12 2009  sqrtTime: 1004
Sun Sep 13 13:59:12 2009  prp69 factor: 595930134278907987018097882864219937198080120308454580288752400192693
Sun Sep 13 13:59:12 2009  prp122 factor: 12222826466222811769941835851841951524169028228224503246579993591785109785182270777425388414418679194209613457906566723669
Sun Sep 13 13:59:12 2009  elapsed time 06:01:17

GGNFS/msieve 1.42

179908962870722109042162834867166569784341407682604787298234594861803231335866748740952582219984475368231702535162742528627337113422741327750793761074891128615973450972604387603479<180>

2455742348484227844082877051<28>

73260520584241407194752819396743407478406879886808326799427220021755832921946863859759750649538346315894856165489947703114639788915596931404635410219029<152>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=383201064
Step 1 took 8308ms
Step 2 took 4301ms
********** Factor found in step 2: 2455742348484227844082877051
Found probable prime factor of 28 digits: 2455742348484227844082877051
Composite cofactor has 152 digits

73260520584241407194752819396743407478406879886808326799427220021755832921946863859759750649538346315894856165489947703114639788915596931404635410219029<152>

364383412355553492882590887137562128475225873<45>
201053390742046654584072475932084289411319314744836659682139543345603077964139771749069474332589557572991173<108>

GMP-ECM 7.0.5-dev [configured with GMP 6.2.0, --enable-asm-redc, --enable-assert] [ECM]
Input number is 73260520584241407194752819396743407478406879886808326799427220021755832921946863859759750649538346315894856165489947703114639788915596931404635410219029 (152 digits)
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:1496372670
Step 1 took 54804ms
Step 2 took 20896ms
********** Factor found in step 2: 364383412355553492882590887137562128475225873
Found prime factor of 45 digits: 364383412355553492882590887137562128475225873
Prime cofactor 201053390742046654584072475932084289411319314744836659682139543345603077964139771749069474332589557572991173 has 108 digits

1649595082297414489799887678943249545580912290555375198387703118385839507051951234062042414958705693827705796804948013632489529816772532241857210708379455443383525741<166>

70239296229457019287397467116994492301599427954677601126985408857077<68>
23485358920860112762585727229495101015611820037835609205934298369245392192876828286951551884948633<98>

p68 factor: 70239296229457019287397467116994492301599427954677601126985408857077
p98 factor: 23485358920860112762585727229495101015611820037835609205934298369245392192876828286951551884948633


Msieve v. 1.54 (SVN 1032M)
random seeds: 7ba4396e 62f3a206
factoring 1649595082297414489799887678943249545580912290555375198387703118385839507051951234062042414958705693827705796804948013632489529816772532241857210708379455443383525741 (166 digits)
searching for 15-digit factors
commencing number field sieve (166-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: -23
A1: 0
A2: 0
A3: 0
A4: 0
A5: 5900
skew 1.00, size 7.779e-14, alpha 0.959, combined = 1.755e-11 rroots = 1

commencing relation filtering
estimated available RAM is 48213.5 MB
commencing duplicate removal, pass 1
found 2285869 hash collisions in 36602129 relations
added 726134 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 37328263 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: 1237.1 MB
keeping 40202052 ideals with weight <= 200, target excess is 196996
commencing in-memory singleton removal
begin with 37328263 relations and 40202052 unique ideals
reduce to 14085585 relations and 12947455 ideals in 16 passes
max relations containing the same ideal: 107
removing 2138222 relations and 1738222 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 11947363 relations and 12947455 unique ideals
reduce to 11667985 relations and 10919496 ideals in 11 passes
max relations containing the same ideal: 96
removing 1730989 relations and 1330989 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 9936996 relations and 10919496 unique ideals
reduce to 9712055 relations and 9355699 ideals in 9 passes
max relations containing the same ideal: 84
removing 686049 relations and 558209 ideals in 127840 cliques
commencing in-memory singleton removal
begin with 9026006 relations and 9355699 unique ideals
reduce to 8987660 relations and 8758587 ideals in 8 passes
max relations containing the same ideal: 82
relations with 0 large ideals: 4208
relations with 1 large ideals: 7675
relations with 2 large ideals: 69173
relations with 3 large ideals: 354899
relations with 4 large ideals: 1081834
relations with 5 large ideals: 2048196
relations with 6 large ideals: 2542207
relations with 7+ large ideals: 2879468
commencing 2-way merge
reduce to 5585855 relation sets and 5356782 unique ideals
commencing full merge
memory use: 641.6 MB
found 2618130 cycles, need 2594982
weight of 2594982 cycles is about 233931913 (90.15/cycle)
distribution of cycle lengths:
1 relations: 220495
2 relations: 226609
3 relations: 231547
4 relations: 225126
5 relations: 216093
6 relations: 198164
7 relations: 184042
8 relations: 166820
9 relations: 149454
10+ relations: 776632
heaviest cycle: 26 relations
commencing cycle optimization
start with 19181535 relations
pruned 650628 relations
memory use: 564.0 MB
distribution of cycle lengths:
1 relations: 220495
2 relations: 232065
3 relations: 240496
4 relations: 232527
5 relations: 224169
6 relations: 204288
7 relations: 189261
8 relations: 170658
9 relations: 152253
10+ relations: 728770
heaviest cycle: 26 relations
RelProcTime: 716
elapsed time 00:11:57


Msieve v. 1.54 (SVN 1032M)
random seeds: 4e44df40 c7c37097
factoring 1649595082297414489799887678943249545580912290555375198387703118385839507051951234062042414958705693827705796804948013632489529816772532241857210708379455443383525741 (166 digits)
searching for 15-digit factors
commencing number field sieve (166-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: -23
A1: 0
A2: 0
A3: 0
A4: 0
A5: 5900
skew 1.00, size 7.779e-14, alpha 0.959, combined = 1.755e-11 rroots = 1

commencing linear algebra
read 2594982 cycles
cycles contain 8826783 unique relations
read 8826783 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 1103.8 MB
read 2594982 cycles
matrix is 2594805 x 2594982 (954.1 MB) with weight 278301801 (107.25/col)
sparse part has weight 221567366 (85.38/col)
filtering completed in 2 passes
matrix is 2594150 x 2594327 (954.0 MB) with weight 278277841 (107.26/col)
sparse part has weight 221558270 (85.40/col)
matrix starts at (0, 0)
matrix is 2594150 x 2594327 (954.0 MB) with weight 278277841 (107.26/col)
sparse part has weight 221558270 (85.40/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2594102 x 2594327 (908.1 MB) with weight 230550476 (88.87/col)
sparse part has weight 212119889 (81.76/col)
using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
commencing Lanczos iteration (12 threads)
memory use: 866.1 MB
linear algebra at 0.1%, ETA 2h22m
checkpointing every 1040000 dimensions
lanczos halted after 41025 iterations (dim = 2594097)
recovered 37 nontrivial dependencies
BLanczosTime: 7187
elapsed time 01:59:48


Msieve v. 1.54 (SVN 1032M)
random seeds: f9412472 50bf3743
factoring 1649595082297414489799887678943249545580912290555375198387703118385839507051951234062042414958705693827705796804948013632489529816772532241857210708379455443383525741 (166 digits)
searching for 15-digit factors
commencing number field sieve (166-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: -23
A1: 0
A2: 0
A3: 0
A4: 0
A5: 5900
skew 1.00, size 7.779e-14, alpha 0.959, combined = 1.755e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1297547 cycles
cycles contain 4415176 unique relations
read 4415176 relations
multiplying 4415176 relations
multiply complete, coefficients have about 150.92 million bits
initial square root is modulo 260861
GCD is 1, no factor found
reading relations for dependency 2
read 1297238 cycles
cycles contain 4414850 unique relations
read 4414850 relations
multiplying 4414850 relations
multiply complete, coefficients have about 150.91 million bits
initial square root is modulo 260651
sqrtTime: 818
p68 factor: 70239296229457019287397467116994492301599427954677601126985408857077
p98 factor: 23485358920860112762585727229495101015611820037835609205934298369245392192876828286951551884948633
elapsed time 00:13:39

CADO-NFS/Msieve

371954441370833964234481586753462630559083512196206761858180362106648092732337345715501797074416551502964300607145397780945414406166452845653728189358760143045669<162>

184688537450363261036979721251424311653000579693880547<54>
2013955205372721807636726100184732667237700897278343118600533476789224597321247898686285849730453463545104727<109>

371954441370833964234481586753462630559083512196206761858180362106648092732337345715501797074416551502964300607145397780945414406166452845653728189358760143045669=184688537450363261036979721251424311653000579693880547*2013955205372721807636726100184732667237700897278343118600533476789224597321247898686285849730453463545104727

cado polynomial
n: 371954441370833964234481586753462630559083512196206761858180362106648092732337345715501797074416551502964300607145397780945414406166452845653728189358760143045669
skew: 0.58
type: snfs
c0: -23
c6: 590
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 590*x^6-23
# g(x) = -x+100000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 12300000
tasks.lim1 = 12300000
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: 2013955205372721807636726100184732667237700897278343118600533476789224597321247898686285849730453463545104727 184688537450363261036979721251424311653000579693880547
Info:Square Root: Total cpu/real time for sqrt: 756.27/228.095
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 533.75/510.421
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 412.7s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 117.79/137.971
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 136.89999999999998s
Info:Filtering - Merging: Merged matrix has 2418632 rows and total weight 412880185 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 657.4/182.421
Info:Filtering - Merging: Total cpu/real time for replay: 95.35/82.6101
Info:Linear Algebra: Total cpu/real time for bwc: 101612/26002.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 65057.25, WCT time 16595.14, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (75776 iterations)
Info:Linear Algebra: Lingen CPU time 515.96, WCT time 130.69
Info:Linear Algebra: Mksol: CPU time 35184.52,  WCT time 8987.5, iteration CPU time 0.23, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (37888 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 8.05/3.55791
Info:Quadratic Characters: Total cpu/real time for characters: 84.78/36.9711
Info:Filtering - Singleton removal: Total cpu/real time for purge: 423.4/404.342
Info:Square Root: Total cpu/real time for sqrt: 756.27/228.095
Info:Generate Free Relations: Total cpu/real time for freerel: 184.57/47.8734
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 27877928
Info:Lattice Sieving: Average J: 1895.22 for 3272362 special-q, max bucket fill -bkmult 1.0,1s:1.180770
Info:Lattice Sieving: Total time: 754825s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.57004e+06/68211.3
Info:root: Cleaning up computation data in /tmp/cado.7jg491rf
2013955205372721807636726100184732667237700897278343118600533476789224597321247898686285849730453463545104727 184688537450363261036979721251424311653000579693880547

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)

17195521634109424394957947125369061268255225559708368932229111620650618022660443212267179670478261336240816176477640426337654632373421395278104652222851323832436753336922526012081<179>

35873687474441774208125952619<29>

479335213207741245003527583887158873557699863891692498384699765863943251282055477987014761294737828507118107156662030571583407504914367032971015241299<150>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=918327226
Step 1 took 8236ms
Step 2 took 4457ms
********** Factor found in step 2: 35873687474441774208125952619
Found probable prime factor of 29 digits: 35873687474441774208125952619
Composite cofactor has 150 digits

GMP-ECM 6.2.3

479335213207741245003527583887158873557699863891692498384699765863943251282055477987014761294737828507118107156662030571583407504914367032971015241299<150>

388279742940787796447382550680127013549435025308916980141<57>
1234509968450348182452425662113929095356001856693576999915413258900468352163638889552229283839<94>

p57 factor: 388279742940787796447382550680127013549435025308916980141
p94 factor: 1234509968450348182452425662113929095356001856693576999915413258900468352163638889552229283839


Msieve v. 1.54 (SVN 1034)
random seeds: fb953078 9f5a4315
factoring 479335213207741245003527583887158873557699863891692498384699765863943251282055477987014761294737828507118107156662030571583407504914367032971015241299 (150 digits)
searching for 15-digit factors
commencing number field sieve (150-digit input)
R0: -500000000000000000000000000000000000000
R1: 1
A0: -115
A1: 0
A2: 0
A3: 0
A4: 0
A5: 944
skew 1.00, size 5.982e-14, alpha 0.593, combined = 1.528e-11 rroots = 1

commencing relation filtering
estimated available RAM is 15892.2 MB
commencing duplicate removal, pass 1
found 591358 hash collisions in 36010996 relations
added 727178 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 36738174 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: 1226.0 MB
keeping 39982122 ideals with weight <= 200, target excess is 193741
commencing in-memory singleton removal
begin with 36738174 relations and 39982122 unique ideals
reduce to 13535462 relations and 12733134 ideals in 15 passes
max relations containing the same ideal: 102
removing 1772118 relations and 1483324 ideals in 288794 cliques
commencing in-memory singleton removal
begin with 11763344 relations and 12733134 unique ideals
reduce to 11560097 relations and 11040762 ideals in 9 passes
max relations containing the same ideal: 94
removing 1410004 relations and 1121210 ideals in 288794 cliques
commencing in-memory singleton removal
begin with 10150093 relations and 11040762 unique ideals
reduce to 9997411 relations and 9763049 ideals in 9 passes
max relations containing the same ideal: 84
removing 84463 relations and 74841 ideals in 9622 cliques
commencing in-memory singleton removal
begin with 9912948 relations and 9763049 unique ideals
reduce to 9912417 relations and 9687676 ideals in 6 passes
max relations containing the same ideal: 83
relations with 0 large ideals: 4070
relations with 1 large ideals: 6101
relations with 2 large ideals: 59968
relations with 3 large ideals: 324699
relations with 4 large ideals: 1051650
relations with 5 large ideals: 2122299
relations with 6 large ideals: 2817501
relations with 7+ large ideals: 3526129
commencing 2-way merge
reduce to 6141999 relation sets and 5917258 unique ideals
commencing full merge
memory use: 714.1 MB
found 2883988 cycles, need 2865458
weight of 2865458 cycles is about 258304857 (90.14/cycle)
distribution of cycle lengths:
1 relations: 251655
2 relations: 260031
3 relations: 267175
4 relations: 253547
5 relations: 239939
6 relations: 216787
7 relations: 199351
8 relations: 177406
9 relations: 156564
10+ relations: 843003
heaviest cycle: 28 relations
commencing cycle optimization
start with 21153089 relations
pruned 709013 relations
memory use: 622.3 MB
distribution of cycle lengths:
1 relations: 251655
2 relations: 266362
3 relations: 277560
4 relations: 261756
5 relations: 248031
6 relations: 223300
7 relations: 204484
8 relations: 180515
9 relations: 158972
10+ relations: 792823
heaviest cycle: 28 relations
RelProcTime: 1046
elapsed time 00:17:27


Msieve v. 1.54 (SVN 1034)
random seeds: d4d310a4 13528d06
factoring 479335213207741245003527583887158873557699863891692498384699765863943251282055477987014761294737828507118107156662030571583407504914367032971015241299 (150 digits)
searching for 15-digit factors
commencing number field sieve (150-digit input)
R0: -500000000000000000000000000000000000000
R1: 1
A0: -115
A1: 0
A2: 0
A3: 0
A4: 0
A5: 944
skew 1.00, size 5.982e-14, alpha 0.593, combined = 1.528e-11 rroots = 1

commencing linear algebra
read 2865458 cycles
cycles contain 9745580 unique relations
read 9745580 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 1221.3 MB
read 2865458 cycles
matrix is 2865281 x 2865458 (1054.4 MB) with weight 309125392 (107.88/col)
sparse part has weight 244885305 (85.46/col)
filtering completed in 2 passes
matrix is 2864479 x 2864656 (1054.3 MB) with weight 309095634 (107.90/col)
sparse part has weight 244874347 (85.48/col)
matrix starts at (0, 0)
matrix is 2864479 x 2864656 (1054.3 MB) with weight 309095634 (107.90/col)
sparse part has weight 244874347 (85.48/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2864431 x 2864656 (1004.0 MB) with weight 255448313 (89.17/col)
sparse part has weight 234536209 (81.87/col)
using block size 8192 and superblock size 786432 for processor cache size 8192 kB
commencing Lanczos iteration (8 threads)
memory use: 959.4 MB
linear algebra at 0.1%, ETA 4h10m
checkpointing every 740000 dimensions
lanczos halted after 45302 iterations (dim = 2864429)
recovered 38 nontrivial dependencies
BLanczosTime: 14478
elapsed time 04:01:18


Msieve v. 1.54 (SVN 1034)
random seeds: f5cfeb60 af303086
factoring 479335213207741245003527583887158873557699863891692498384699765863943251282055477987014761294737828507118107156662030571583407504914367032971015241299 (150 digits)
searching for 15-digit factors
commencing number field sieve (150-digit input)
R0: -500000000000000000000000000000000000000
R1: 1
A0: -115
A1: 0
A2: 0
A3: 0
A4: 0
A5: 944
skew 1.00, size 5.982e-14, alpha 0.593, combined = 1.528e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1431020 cycles
cycles contain 4870766 unique relations
read 4870766 relations
multiplying 4870766 relations
multiply complete, coefficients have about 156.68 million bits
initial square root is modulo 419651
sqrtTime: 317
p57 factor: 388279742940787796447382550680127013549435025308916980141
p94 factor: 1234509968450348182452425662113929095356001856693576999915413258900468352163638889552229283839
elapsed time 00:05:18

CADO-NFS/Msieve

14049054058140700562033598193720263331659352824371822740941872396013783312628837564598860216912632266486267287777727772670113209182556980224884875145580346182979166205310018570944508379546387<191>

15020558240790961519556181394535596901<38>
935321699295305091769020291865845968537538790564424714932276783460783187423104867410069646498110493649355467142860211527355440858568679417266056052216087<153>

C191=P38*P153
C191=15020558240790961519556181394535596901<38>*935321699295305091769020291865845968537538790564424714932276783460783187423104867410069646498110493649355467142860211527355440858568679417266056052216087<153>

ECMNET

10762907602298646364229000929107117224438663744126681932876237559644534815562447174640771832825584651188522939708384085715050522006043392703796983455912122992017613892101741183117163<182>

10822253712203214448677627731626443329778749654682724145451311179927578877<74>
994516289168341231439126352426978092983032011238323033185632558520524189759605061519992173841994250069840519<108>

N=10762907602298646364229000929107117224438663744126681932876237559644534815562447174640771832825584651188522939708384085715050522006043392703796983455912122992017613892101741183117163
  ( 182 digits)
SNFS difficulty: 197 digits.
Divisors found:
 r1=10822253712203214448677627731626443329778749654682724145451311179927578877 (pp74)
 r2=994516289168341231439126352426978092983032011238323033185632558520524189759605061519992173841994250069840519 (pp108)
Version: Msieve v. 1.49
Total time:
Scaled time: 70.01 units (timescale=0.467).
Factorization parameters were as follows:
n: 10762907602298646364229000929107117224438663744126681932876237559644534815562447174640771832825584651188522939708384085715050522006043392703796983455912122992017613892101741183117163
m: 1000000000000000000000000000000000000000
deg: 5
c5: 590
c0: -23
skew: 0.52
type: snfs
lss: 1
rlim: 13800000
alim: 13800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 13800000/13800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6900000, 17780001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2825794 x 2826006
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,197.000,5,0,0,0,0,0,0,0,0,13800000,13800000,28,28,55,55,2.5,2.5,100000
total time:

273716007539056084772116537614242226549575118196355345048214488300699430037199678583352015067469173290642139017770980396686838347537423156581614974759696874925966628922087835144211<180>

231942543247819899163317857305469064866091765581036705718686870397793<69>
1180102639672288009734224977567782663925353815076647647928041219297955827841292464378681220171028605453293296627<112>

Number: n
N=273716007539056084772116537614242226549575118196355345048214488300699430037199678583352015067469173290642139017770980396686838347537423156581614974759696874925966628922087835144211  ( 180 digits)
SNFS difficulty: 202 digits.
Divisors found:

Thu Sep 30 22:12:37 2021  p69 factor: 231942543247819899163317857305469064866091765581036705718686870397793
Thu Sep 30 22:12:37 2021  p112 factor: 1180102639672288009734224977567782663925353815076647647928041219297955827841292464378681220171028605453293296627
Thu Sep 30 22:12:37 2021  elapsed time 02:12:45 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 59x10^201-23 = 65(200)3
#
n: 273716007539056084772116537614242226549575118196355345048214488300699430037199678583352015067469173290642139017770980396686838347537423156581614974759696874925966628922087835144211
m: 10000000000000000000000000000000000000000
deg: 5
c5: 590
c0: -23
skew: 0.52
# Murphy_E = 9.384e-12
type: snfs
lss: 1
rlim: 16800000
alim: 16800000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16800000/16800000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8890611 hash collisions in 58271254 relations (51388679 unique)
Msieve: matrix is 2295159 x 2295385 (798.5 MB)

Sieving start time : 2021/09/30 06:25:08
Sieving end time  : 2021/09/30 19:58:11

Total sieving time: 13hrs 33min 3secs.

Total relation processing time: 1hrs 44min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 12min 50sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16800000,16800000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119850] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239964K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2736K init, 4964K bss, 487272K reserved, 0K cma-reserved)
[    0.154026] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.44 BogoMIPS (lpj=12798892)
[    0.150212] smpboot: Total of 16 processors activated (102391.13 BogoMIPS)

45865494370850870526992897340885086687582357107386296428897449727222995769803961438883864514945568317641371843441083348596687570291132916868226764522007491281430522579973<170>

88602720281912088605200917127619441303841666135321053<53>
517653343203438171774486782077770561267482296687039844265117505572817600593125136149878457320386060766524619764845641<117>

Number: n
N=45865494370850870526992897340885086687582357107386296428897449727222995769803961438883864514945568317641371843441083348596687570291132916868226764522007491281430522579973  ( 170 digits)
SNFS difficulty: 206 digits.
Divisors found:

Mon Apr  8 20:00:00 2024  prp53 factor: 88602720281912088605200917127619441303841666135321053
Mon Apr  8 20:00:00 2024  prp117 factor: 517653343203438171774486782077770561267482296687039844265117505572817600593125136149878457320386060766524619764845641
Mon Apr  8 20:00:00 2024  elapsed time 03:19:13 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.090).
Factorization parameters were as follows:
#
# N = 59x10^205-23 = 65(204)3
#
n: 45865494370850870526992897340885086687582357107386296428897449727222995769803961438883864514945568317641371843441083348596687570291132916868226764522007491281430522579973
m: 100000000000000000000000000000000000000000
deg: 5
c5: 59
c0: -23
skew: 0.83
# Murphy_E = 8.48e-12
type: snfs
lss: 1
rlim: 19600000
alim: 19600000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19600000/19600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 42600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3996148 hash collisions in 19636746 relations (15831055 unique)
Msieve: matrix is 2460617 x 2460842 (694.8 MB)

Sieving start time: 2024/04/08 00:17:41
Sieving end time  : 2024/04/08 16:40:22

Total sieving time: 16hrs 22min 41secs.

Total relation processing time: 3hrs 8min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 44sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19600000,19600000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

71284870278028271603716628818629312524723918832340292802725488815156168658601544772136160239979186751027840233593995523140996000181764337027569036950222536262281250444397734731140231343085127751730407<200>

9297504363436607906170650931889543689463171200314440123330422610249348423409820627<82>
7667097265193373302679871635428554253182305737460341166631194889228279711632405324973719102789415824682271588415386141<118>

Number: n
N=71284870278028271603716628818629312524723918832340292802725488815156168658601544772136160239979186751027840233593995523140996000181764337027569036950222536262281250444397734731140231343085127751730407
  ( 200 digits)
SNFS difficulty: 207 digits.
Divisors found:

Mon Jul 31 15:53:18 2017  prp82 factor: 9297504363436607906170650931889543689463171200314440123330422610249348423409820627
Mon Jul 31 15:53:18 2017  prp118 factor: 7667097265193373302679871635428554253182305737460341166631194889228279711632405324973719102789415824682271588415386141
Mon Jul 31 15:53:18 2017  elapsed time 10:38:54 (Msieve 1.44 - dependency 8)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.725).
Factorization parameters were as follows:
#
# N = 59*10^206-23 = 65(205)3
#
n: 71284870278028271603716628818629312524723918832340292802725488815156168658601544772136160239979186751027840233593995523140996000181764337027569036950222536262281250444397734731140231343085127751730407
m: 100000000000000000000000000000000000000000
deg: 5
c5: 590
c0: -23
skew: 0.52
# Murphy_E = 5.123e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 33200000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8130166 hash collisions in 51520321 relations (44945330 unique)
Msieve: matrix is 3266561 x 3266787 (925.4 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 9hrs 30min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 56min 48sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,20000000,20000000,29,29,56,56,2.6,2.6,100000total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.050273] smpboot: CPU0: Intel(R) Core(TM) i7-6700K CPU @ 4.00GHz (family: 0x6, model: 0x5e, stepping: 0x3)
[    0.000000] Memory: 16339156K/16705272K available (7836K kernel code, 1309K rwdata, 3448K rodata, 1528K init, 1544K bss, 366116K reserved, 0K cma-reserved)
[    0.000018] Calibrating delay loop (skipped), value calculated using timer frequency.. 8016.72 BogoMIPS (lpj=4008360)
[    0.074633] smpboot: Total of 8 processors activated (64133.76 BogoMIPS)

26727963991765040008536266341888589081029914380608302124473092730413751787454597324608284460610719479946014479964717577110277137461446108064662976164965946409173319867<167>

580636600626650851906355658407150653<36>
46032172210499544943819689657821389188402231286219831054220308460912210057552943077345526067368367504695787562319506386620515274839<131>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2804569777
Step 1 took 12726ms
Step 2 took 9828ms
********** Factor found in step 2: 580636600626650851906355658407150653
Found probable prime factor of 36 digits: 580636600626650851906355658407150653
Probable prime cofactor

54469601595758042995165656168487805388407887259263786065483297386469588640016687701084479961968167642945185860096052001289495668657451108167954420776786399926627650919526968563<176>

3646491313112288499132177630079964953476085436551134197936681242306249223909799988326071474565615541941177854765841799564761033611573192569509652944054349408562216223416021372199697377847097957<193>

411601854442845361999646090147713193<36>
8859268425911907010037871142556588022112384338818348848853467234632593631963658986621617420252047479230475199290556496512851125944962687907296179565875635549<157>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=2376601324
Step 1 took 57620ms
********** Factor found in step 1: 411601854442845361999646090147713193
Found probable prime factor of 36 digits: 411601854442845361999646090147713193
Probable prime cofactor

16195047705446351428452552431461599090560932196269474757298169987456054630582051878561821207641736697498765282000583209149845781945322482343519690114941716166818375081<167>

3705297734217388414633130183647496699<37>

4370781747412526313782891510534859126576993927276758633648975953350756318125133314603725433696418094498575009383531390075536802219<130>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=212583077
Step 1 took 12149ms
Step 2 took 10533ms
********** Factor found in step 2: 3705297734217388414633130183647496699
Found probable prime factor of 37 digits: 3705297734217388414633130183647496699
Composite cofactor

4370781747412526313782891510534859126576993927276758633648975953350756318125133314603725433696418094498575009383531390075536802219<130>

2658592694184612242400572675353110169<37>
180006438860552202235572847628853209405107<42>
9133122308103445259605177746872712831814523656248593<52>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=204239101
Step 1 took 8360ms
Step 2 took 4502ms
********** Factor found in step 2: 2658592694184612242400572675353110169
Found probable prime factor of 37 digits: 2658592694184612242400572675353110169
Composite cofactor

starting SIQS on c94: 1644020822359568232234771224373653082578612973258956462730701199527520963950497844596835764451
p52 = 9133122308103445259605177746872712831814523656248593
p42 = 180006438860552202235572847628853209405107

GMP-ECM 6.5; yafu

131636899691513544020096677945447869135238631852570129710585542043047882426727950399346494457052280871144184833073658241363143987171567349250778444902206631513728717822614604332633061394456938426108580491<204>

28832448507981705138101376172426901<35>

4565581714472581716092172411332830112756357042243401531958721321751158432893304805211439202536923425013261514204014151029043392172254492482113812020001314379996238482591<169>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2633680085
Step 1 took 15853ms
Step 2 took 13373ms
********** Factor found in step 2: 28832448507981705138101376172426901
Found probable prime factor of 35 digits: 28832448507981705138101376172426901
Composite cofactor 

297574015231754677964391990719725626670701568568114187723810964845917183638472789630302113279870883139153679326171382458263983456902204065163665708377465072880415594895849094668885862712462803248096030665254451<210>

391098531876098731723237727542771<33>

760867124211110768485935991593676640191917303627126322907240267924526952696212653303373289670407395403813404914098177036344992134528917892197783051289988155590382713705221990081<177>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=629351199
Step 1 took 15741ms
********** Factor found in step 1: 391098531876098731723237727542771
Found probable prime factor of 33 digits: 391098531876098731723237727542771
Composite cofactor 

12909257249168436481459555253296165289047342645997746228546332585546116865380634230820743605330073680102716284762205862556406243548964002084205620265033075295758588791952381376944221408699182036633<197>

8154295896481178806846317498393214733198275387023922038363115043352127822044010174399930382574217735128087714528463888676568232576487335953187976716003272260783992499369959257614874799004312565677886379<202>

643028761811183629665115394795402249183776439175246653385636031205419670905172374631691300847620453233071429672834424581727707905644384083500534454063958541539436047740034596485310095781513<189>

44779629010150708012100473340595401992388939<44>
14359850137780752578789391568668488413455639439084515736505799822082555873512391009086439325042186765040045385120692900871326383423144600038473467<146>

Number: 65553_220
N = 643028761811183629665115394795402249183776439175246653385636031205419670905172374631691300847620453233071429672834424581727707905644384083500534454063958541539436047740034596485310095781513 (189 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=44779629010150708012100473340595401992388939 (pp44)
r2=14359850137780752578789391568668488413455639439084515736505799822082555873512391009086439325042186765040045385120692900871326383423144600038473467 (pp146)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 52.09 hours.
Factorization parameters were as follows:
n: 643028761811183629665115394795402249183776439175246653385636031205419670905172374631691300847620453233071429672834424581727707905644384083500534454063958541539436047740034596485310095781513
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 59
c0: -23
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 33408026
Relations: 7845556 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 22.84 hours.
Total relation processing time: 0.34 hours.
Pruned matrix : 6946578 x 6946803
Matrix solve time: 28.74 hours.
time per square root: 0.17 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 52.09 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

279569846298733890605751196868386053731197487594983160880897555181101976289746573280323458790077343727891471097068511367561044325904809515198486146820501830976555608133695302038937969799994406719977<198>

58878386516725283675980045960307652316855157007961<50>
4748259299179638811261608376808043469171303934474011602593920184475588661130395006405818655416344576930754401016208742052645245778565563528185034257<148>

Number: 65553_221
N = 279569846298733890605751196868386053731197487594983160880897555181101976289746573280323458790077343727891471097068511367561044325904809515198486146820501830976555608133695302038937969799994406719977 (198 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=58878386516725283675980045960307652316855157007961 (pp50)
r2=4748259299179638811261608376808043469171303934474011602593920184475588661130395006405818655416344576930754401016208742052645245778565563528185034257 (pp148)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 46.59 hours.
Factorization parameters were as follows:
n: 279569846298733890605751196868386053731197487594983160880897555181101976289746573280323458790077343727891471097068511367561044325904809515198486146820501830976555608133695302038937969799994406719977
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 590
c0: -23
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 8342288 relations
Pruned matrix : 7217870 x 7218097
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 30.01 hours.
Total relation processing time: 0.79 hours.
Matrix solve time: 15.35 hours.
time per square root: 0.45 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 46.59 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

649930987794086749417422241733370791389789181004226875750126386791622178064368702368389277905632422012219605864444070128258592867025034207024544445470013511624605060898037846230492252552738897859588887365406590381733<216>

5800711022424256122166080520986493<34>
112043331460849952352146879842014632230060443011115315730041699264973947156257238377001869712207561048528142233991445187238788316321441547390716110781807805386008467493437087413060681<183>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=521270054
Step 1 took 20733ms
Step 2 took 14577ms
********** Factor found in step 2: 5800711022424256122166080520986493
Found probable prime factor of 34 digits: 5800711022424256122166080520986493
Probable prime cofactor 

407618811451451246449251878931567776840252708244358744355086197680249837838590526680890771224939240443752395745499636375670296969039733076778524861852519615344670173604884593215424168483271755576229514776114215503<213>

25345799593897166022408617443095234499801<41>
16082302313697724787786251546676586758240179226429984755883597995751287054555043322398176933310717876370402652327585292385149248696734997454644242949438101572841884547936103<173>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1239153987
Step 1 took 68496ms
********** Factor found in step 1: 25345799593897166022408617443095234499801
Found probable prime factor of 41 digits: 25345799593897166022408617443095234499801
Probable prime cofactor 

2067998597967052225727304591657903960743077462320364528566421310900806168944970206799859796705222572730459165790396074307746232036452856642131090080616894497020679985979670522257273045916579039607430774623203645285664213109<223>

153213679981145006013971998680097783237<39>

13497480108966426052872035491994741490714026457640687918263525766249831263303998037412363373473448668513431722817007061999128693668699324256451616128618661008217721028822064086968367857<185>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3116741897
Step 1 took 73286ms
Step 2 took 25686ms
********** Factor found in step 2: 153213679981145006013971998680097783237
Found probable prime factor of 39 digits: 153213679981145006013971998680097783237
Composite cofactor 

11147496880980839073056859608388364973837005870108663833747888867642103421955257572157449547933984707185572188936307195630704582096325406601017166906036358446297194664039538691821773630122628669<194>

121465621081490096438245181423959188401527<42>
91774913607053410714513674846678750965693935714873952631008556037780172954856513616020859395482678755175285606840447950323289672606637510712221628544747<152>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=995146800
Step 1 took 18158ms
Step 2 took 12761ms
********** Factor found in step 2: 121465621081490096438245181423959188401527
Found probable prime factor of 42 digits: 121465621081490096438245181423959188401527
Probable prime cofactor 

17978723585511308742302081465698492895672837451700836662903281043550478266921021265740393707155551644844852039506739643096873997215613353053384955018692294068121582941146304017300442318143757355137<197>

5792668514550629926800435452168503964191798634527861564423902949418436102573490400363379965940435867232427407774951656507015977243193578064178821752244811183387988165692380379525769436727364396289769<199>

63668193223515879755173756620492950987<38>

90982140709014259352642614889793411534345915195827822491886373798315435616539063617242950400149997099092580317083009425659624928618683189449576047767206896549787<161>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=2026085010
Step 1 took 12189ms
********** Factor found in step 1: 63668193223515879755173756620492950987
Found probable prime factor of 38 digits: 63668193223515879755173756620492950987
Composite cofactor 

90982140709014259352642614889793411534345915195827822491886373798315435616539063617242950400149997099092580317083009425659624928618683189449576047767206896549787<161>

53585743325928250598461652877911<32>
1697879604946922728784126633230194451986651267490457056749601709609237608133063145944989737180799972401861684667070389912550132317<130>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1270743885
Step 1 took 12184ms
Step 2 took 5598ms
********** Factor found in step 2: 53585743325928250598461652877911
Found probable prime factor of 32 digits: 53585743325928250598461652877911
Probable prime cofactor

2939711011459890383657199800697558545092177379172894867962132536123567513702042850024912805181863477827603388141504733432984554060787244643746885899352267065271549576482311908320876930742401594419531639262580966616841056302939711<229>

42277744886792616172821589871931556162906441057282849067544580238640398502888040248779570325927198805442134898392759954106377678575524728939592137786757944844222504567406230369099741<182>

999672988327547090528013717546633050544482906439080097527418996836628018292321325396946422610908634971949853691927894773404632044094050590230653362544116924463692385372242639272238064497545718095606013626051139203616444112349689<228>

5455145340354763702239075317254488651585868754728606143107775971347587387473746157716417055040336068027437637494598878309971803520876180593773383058242852824840718034107817<172>

689348440248177758106798742314435935038689296935287858576827476847936260462287093582283649960952483979373001195375697783933496436230583039405733330976733548355058597275457664853025077609926600212230210508218871732147<216>

3835455739942497313984399354271889899287<40>

179730516264153981751059965013045428381591189775960017272963188456536591535351481526132327668541405749928953399691431999837647754216842049078159632735075301110027418535739747781<177>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2106568779
Step 1 took 19105ms
Step 2 took 6570ms
********** Factor found in step 2: 3835455739942497313984399354271889899287
Found probable prime factor of 40 digits: 3835455739942497313984399354271889899287
Composite cofactor

4416813772862633228258023622297151341988335020382541940536509564728125052034521179718956526403887343223285047197199353120779911731857770089947478508944259650198257186467052608836703591253744504558860790698757623<211>

118713269616325582012939271276273376359<39>
37205729293258620208449830670995033623201393705426093364392895826982534064144434155041469331122143777269147377448342011933339051255165298159429557551365095798176829015181297<173>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1054725995
Step 1 took 18519ms
Step 2 took 7465ms
********** Factor found in step 2: 118713269616325582012939271276273376359
Found probable prime factor of 39 digits: 118713269616325582012939271276273376359
Probable prime cofactor 

842452765969704104057789164502584972445132418286279572915158362922156242738949220201031906254749931510345410456447686765916044655421843800897983996209931730406579154875033133345368442658566504292903<198>

133995981299835611339155238835044049934995037090109750366458855149373282604546651481281912516068218948234683098888331302628946178732828230989829242814181729219266202929345281310192115101815261762824589537513228341043<216>

252008253503553928606752599617546163<36>

531712669870734779212811906690077431598298887492231871076982169153899120742493969889810945147934523658351442484982976933725773207164463460144774516469303525551023709176110923397761<180>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=485545758
Step 1 took 20793ms
Step 2 took 14581ms
********** Factor found in step 2: 252008253503553928606752599617546163
Found probable prime factor of 36 digits: 252008253503553928606752599617546163
Composite cofactor 

301815127349033220944540363688694780796460743190347469666485504760697833209825544012364419665345483498789055613029498245079076098746130325615839617727137344559107049509032441514900670432769397<192>

150591766274261854493176584956307802919715681146715657774048634339584338080129336947535462951392296724521832513829669231505412133476998767804119756934290944118640775214335693358240921038631216839462714005023126384984107214569<225>

14131204092122709166245052886057<32>

10656683272885970697777333190544301190837517573943719547088023302506761617988444059302794484471069878894785785547905164532279766856604528894189350315124160901431279474830210017349271346044058817<194>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3943784402
Step 1 took 16866ms
Step 2 took 14400ms
********** Factor found in step 2: 14131204092122709166245052886057
Found probable prime factor of 32 digits: 14131204092122709166245052886057
Composite cofactor 

39277798381367673347776477072059819602782030035653111490480919174870752111470322725163575242721704983627130001580848062772986389536230450113332716030086006124195882409643366867851187014747968804296193985291607797725346231<221>

8667834242909215473847711986223<31>

4531443181842010943243417111585740669618809746874055971197777649055547372679362532529911738593506871286702135321379878774013050770493870339086204671442997445391346100679902452714368704706297<190>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4127220218
Step 1 took 20862ms
Step 2 took 14989ms
********** Factor found in step 2: 8667834242909215473847711986223
Found probable prime factor of 31 digits: 8667834242909215473847711986223
Composite cofactor

426812912156482246568816640260233390560547403297423312884551426486931664276123643159614664887292484603417124394062261262285184326618438816718250558359959564382252765796383180703860152307326880846844844780229490693001711436783693871<231>

523793936753978889278958608641<30>
814848898025622388085979032242481650273517989155657796706872103839228011635203807550565274777136889183460327004856292890290054059429497966565164222065891230822316853891481466915930743925891890675786031<201>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=2118626266
Step 1 took 14073ms
Step 2 took 8501ms
********** Factor found in step 2: 523793936753978889278958608641
Found probable prime factor of 30 digits: 523793936753978889278958608641
Probable prime cofactor 

61262196074315319982453226364169204279039130508408599909676474548889172301551973000658207561484587612327892510208194752001234952542995811655204548876586532175561561377882633324636761005509865489463527618925606142973903167691<224>

10125182544903527349376203942906929181581<41>

6050478181763884993758345564437847777643912970572558674197326874652219269510081515784418852052813233738911786169137966926581014642495544236181406782614585702908123290099610659190416311<184>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1696853944
Step 1 took 20889ms
Step 2 took 14997ms
********** Factor found in step 2: 10125182544903527349376203942906929181581
Found probable prime factor of 41 digits: 10125182544903527349376203942906929181581
Composite cofactor