1776030796896931864902419817154526194496709500799185020793318268673546294348199531369033949482029057<100>

1189183889824656181212523560943<31>
1493487098247526373754498223558905495812451565384158118329898981129999<70>

Fri Mar 28 23:21:28 2008  Msieve v. 1.33
Fri Mar 28 23:21:28 2008  random seeds: 5386582e d8e5e839
Fri Mar 28 23:21:28 2008  factoring 1776030796896931864902419817154526194496709500799185020793318268673546294348199531369033949482029057 (100 digits)
Fri Mar 28 23:21:30 2008  searching for 15-digit factors
Fri Mar 28 23:21:32 2008  commencing quadratic sieve (100-digit input)
Fri Mar 28 23:21:32 2008  using multiplier of 1
Fri Mar 28 23:21:32 2008  using 64kb Pentium 4 sieve core
Fri Mar 28 23:21:32 2008  sieve interval: 18 blocks of size 65536
Fri Mar 28 23:21:32 2008  processing polynomials in batches of 6
Fri Mar 28 23:21:32 2008  using a sieve bound of 2674031 (97647 primes)
Fri Mar 28 23:21:32 2008  using large prime bound of 401104650 (28 bits)
Fri Mar 28 23:21:32 2008  using double large prime bound of 3061003663568100 (43-52 bits)
Fri Mar 28 23:21:32 2008  using trial factoring cutoff of 52 bits
Fri Mar 28 23:21:32 2008  polynomial 'A' values have 13 factors
Sat Mar 29 20:55:01 2008  97755 relations (22380 full + 75375 combined from 1494977 partial), need 97743
Sat Mar 29 20:55:06 2008  begin with 1517357 relations
Sat Mar 29 20:55:08 2008  reduce to 261925 relations in 11 passes
Sat Mar 29 20:55:08 2008  attempting to read 261925 relations
Sat Mar 29 20:55:18 2008  recovered 261925 relations
Sat Mar 29 20:55:18 2008  recovered 254042 polynomials
Sat Mar 29 20:55:18 2008  attempting to build 97755 cycles
Sat Mar 29 20:55:18 2008  found 97755 cycles in 6 passes
Sat Mar 29 20:55:18 2008  distribution of cycle lengths:
Sat Mar 29 20:55:18 2008     length 1 : 22380
Sat Mar 29 20:55:18 2008     length 2 : 16289
Sat Mar 29 20:55:18 2008     length 3 : 16175
Sat Mar 29 20:55:18 2008     length 4 : 13411
Sat Mar 29 20:55:18 2008     length 5 : 10254
Sat Mar 29 20:55:18 2008     length 6 : 7237
Sat Mar 29 20:55:18 2008     length 7 : 4951
Sat Mar 29 20:55:18 2008     length 9+: 7058
Sat Mar 29 20:55:18 2008  largest cycle: 20 relations
Sat Mar 29 20:55:19 2008  matrix is 97647 x 97755 (25.5 MB) with weight 6299176 (64.44/col)
Sat Mar 29 20:55:19 2008  sparse part has weight 6299176 (64.44/col)
Sat Mar 29 20:55:21 2008  filtering completed in 3 passes
Sat Mar 29 20:55:21 2008  matrix is 94278 x 94342 (24.7 MB) with weight 6109336 (64.76/col)
Sat Mar 29 20:55:21 2008  sparse part has weight 6109336 (64.76/col)
Sat Mar 29 20:55:22 2008  saving the first 48 matrix rows for later
Sat Mar 29 20:55:22 2008  matrix is 94230 x 94342 (13.9 MB) with weight 4602553 (48.79/col)
Sat Mar 29 20:55:22 2008  sparse part has weight 3082742 (32.68/col)
Sat Mar 29 20:55:22 2008  matrix includes 64 packed rows
Sat Mar 29 20:55:22 2008  using block size 21845 for processor cache size 512 kB
Sat Mar 29 20:55:23 2008  commencing Lanczos iteration
Sat Mar 29 20:55:23 2008  memory use: 14.7 MB
Sat Mar 29 20:56:49 2008  lanczos halted after 1491 iterations (dim = 94229)
Sat Mar 29 20:56:49 2008  recovered 16 nontrivial dependencies
Sat Mar 29 20:56:51 2008  prp31 factor: 1189183889824656181212523560943
Sat Mar 29 20:56:51 2008  prp70 factor: 1493487098247526373754498223558905495812451565384158118329898981129999
Sat Mar 29 20:56:51 2008  elapsed time 21:35:23

Pentium 4 2.4GHz, Windows XP and Cygwin)

48904077097976174632267538835950225430329679849459278098972769860557010451849220346750865514835925074762107863531076969079<122>

13425840129506340057442209524427842613367<41>
3642533847136935011456148310820503413649474104862561436305997644166338839113473537<82>

Number: 15557_127
N=48904077097976174632267538835950225430329679849459278098972769860557010451849220346750865514835925074762107863531076969079
  ( 122 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=13425840129506340057442209524427842613367 (pp41)
 r2=3642533847136935011456148310820503413649474104862561436305997644166338839113473537 (pp82)
Version: GGNFS-0.77.1-20060513-k8
Total time: 4.44 hours.
Scaled time: 8.83 units (timescale=1.988).
Factorization parameters were as follows:
name: 15557_127
n: 48904077097976174632267538835950225430329679849459278098972769860557010451849220346750865514835925074762107863531076969079
m: 10000000000000000000000000
c5: 1400
c0: 13
skew: 0.39
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [400000, 950001)
Primes: RFBsize:63951, AFBsize:63883, largePrimes:1566066 encountered
Relations: rels:1612994, finalFF:215096
Max relations in full relation-set: 28
Initial matrix: 127901 x 215096 with sparse part having weight 15848189.
Pruned matrix : 104475 x 105178 with weight 6326007.
Total sieving time: 4.30 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,128,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 4.44 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

12245513749034989852895705411736070721553443053147682733202564222569324669871927096396592972496605601458743<107>

56357955441055287971571773968585783<35>
217281014777808196009137828237449697839477601469693193097765221967813121<72>

Number: 15557_131
N=12245513749034989852895705411736070721553443053147682733202564222569324669871927096396592972496605601458743
  ( 107 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=56357955441055287971571773968585783 (pp35)
 r2=217281014777808196009137828237449697839477601469693193097765221967813121 (pp72)
Version: GGNFS-0.77.1-20060513-k8
Total time: 5.08 hours.
Scaled time: 10.10 units (timescale=1.988).
Factorization parameters were as follows:
name: 15557_131
n: 12245513749034989852895705411736070721553443053147682733202564222569324669871927096396592972496605601458743
m: 100000000000000000000000000
c5: 140
c0: 13
skew: 0.62
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [400000, 1050001)
Primes: RFBsize:63951, AFBsize:63398, largePrimes:1483814 encountered
Relations: rels:1458460, finalFF:144699
Max relations in full relation-set: 28
Initial matrix: 127416 x 144699 with sparse part having weight 11561520.
Pruned matrix : 123053 x 123754 with weight 8514307.
Total sieving time: 4.88 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,132,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 5.08 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

1688273949941570375095874217711031864364334175058727202308319719669742426148965973319064328338454215930171<106>

850464992838381187711643030456490530458087993<45>
1985118687022080519125853658451963101859713733308921760886547<61>

Number: 15557_135
N=1688273949941570375095874217711031864364334175058727202308319719669742426148965973319064328338454215930171
  ( 106 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=850464992838381187711643030456490530458087993 (pp45)
 r2=1985118687022080519125853658451963101859713733308921760886547 (pp61)
Version: GGNFS-0.77.1-20060513-k8
Total time: 8.33 hours.
Scaled time: 16.63 units (timescale=1.996).
Factorization parameters were as follows:
name: 15557_135
n: 1688273949941570375095874217711031864364334175058727202308319719669742426148965973319064328338454215930171
m: 1000000000000000000000000000
c5: 14
c0: 13
skew: 0.99
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 1375001)
Primes: RFBsize:78498, AFBsize:63758, largePrimes:1552807 encountered
Relations: rels:1544617, finalFF:162642
Max relations in full relation-set: 28
Initial matrix: 142322 x 162642 with sparse part having weight 14896086.
Pruned matrix : 136528 x 137303 with weight 11093629.
Total sieving time: 8.09 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 8.33 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

8187134502923976608187134502923976608187134502923976608187134502923976608187134502923976608187134502923976608187134502923976608187134503<136>

11764073559559998843123355711907785474687<41>
695943837946402020118337584433250306357753583192431662177817987316706993990755327964810915425369<96>

Number: 15557_137
N=8187134502923976608187134502923976608187134502923976608187134502923976608187134502923976608187134502923976608187134502923976608187134503
  ( 136 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=11764073559559998843123355711907785474687 (pp41)
 r2=695943837946402020118337584433250306357753583192431662177817987316706993990755327964810915425369 (pp96)
Version: GGNFS-0.77.1-20060513-k8
Total time: 12.38 hours.
Scaled time: 24.38 units (timescale=1.969).
Factorization parameters were as follows:
name: 15557_137
n: 8187134502923976608187134502923976608187134502923976608187134502923976608187134502923976608187134502923976608187134502923976608187134503
m: 1000000000000000000000000000
c5: 1400
c0: 13
skew: 0.39
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 1975001)
Primes: RFBsize:78498, AFBsize:63883, largePrimes:1650833 encountered
Relations: rels:1672542, finalFF:169267
Max relations in full relation-set: 28
Initial matrix: 142448 x 169267 with sparse part having weight 18473523.
Pruned matrix : 135850 x 136626 with weight 13522889.
Total sieving time: 12.04 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.20 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,138,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 12.38 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

61288595779775571881113368796770804969316105944305619154906190416003544310391843891264168410337157483134381378523<113>

57299449684752614248272600835231<32>
1069619274128639137021858419038897362426876526582588171608739640247634879294468933<82>

Number: 15557_139
N=61288595779775571881113368796770804969316105944305619154906190416003544310391843891264168410337157483134381378523
  ( 113 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=57299449684752614248272600835231 (pp32)
 r2=1069619274128639137021858419038897362426876526582588171608739640247634879294468933 (pp82)
Version: GGNFS-0.77.1-20060513-k8
Total time: 10.24 hours.
Scaled time: 20.48 units (timescale=1.999).
Factorization parameters were as follows:
name: 15557_139
n: 61288595779775571881113368796770804969316105944305619154906190416003544310391843891264168410337157483134381378523
m: 10000000000000000000000000000
c5: 7
c0: 65
skew: 1.56
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [650000, 1750001)
Primes: RFBsize:100021, AFBsize:100618, largePrimes:2719554 encountered
Relations: rels:2699900, finalFF:266940
Max relations in full relation-set: 28
Initial matrix: 200704 x 266940 with sparse part having weight 24490485.
Pruned matrix : 180448 x 181515 with weight 14444246.
Total sieving time: 9.83 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.26 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,140,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 10.24 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

155555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557<141>

18651903176326491578590588753852342945211347<44>
252881043399032213036236815115213828278264819281<48>
32979654314807824846613071587603169379763120964151<50>

Number: 15557_140
N=155555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557
  ( 141 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=18651903176326491578590588753852342945211347 (pp44)
 r2=252881043399032213036236815115213828278264819281 (pp48)
 r3=32979654314807824846613071587603169379763120964151 (pp50)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 6.85 hours.
Scaled time: 12.72 units (timescale=1.858).
Factorization parameters were as follows:
n: 155555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557
m: 10000000000000000000000000000
c5: 14
c0: 13
skew: 0.99
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved algebraic special-q in [750000, 1200001)
Primes: RFBsize:114155, AFBsize:113567, largePrimes:3340555 encountered
Relations: rels:3374677, finalFF:329395
Max relations in full relation-set: 28
Initial matrix: 227788 x 329395 with sparse part having weight 29643874.
Pruned matrix : 192119 x 193321 with weight 14135088.
Total sieving time: 6.64 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,47,47,2.3,2.3,50000
total time: 6.85 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 8178324k/8912896k available (2439k kernel code, 208016k reserved, 1234k data, 192k init)
Calibrating delay using timer specific routine.. 4812.92 BogoMIPS (lpj=2406460)
Calibrating delay using timer specific routine.. 4810.27 BogoMIPS (lpj=2405136)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405131)

Core 2 Quad Q6600

142967958374750041269888592393394485067234229144975090352486633805456865490049829790174985939<93>

183423493947434274718688357884837548361877507<45>
779441909528350662423303508331947392118799809777<48>

Fri Mar 28 10:32:18 2008  Msieve v. 1.33
Fri Mar 28 10:32:18 2008  random seeds: 272e5fe1 63dbf71a
Fri Mar 28 10:32:18 2008  factoring 142967958374750041269888592393394485067234229144975090352486633805456865490049829790174985939 (93 digits)
Fri Mar 28 10:32:20 2008  searching for 15-digit factors
Fri Mar 28 10:32:21 2008  commencing quadratic sieve (93-digit input)
Fri Mar 28 10:32:22 2008  using multiplier of 1
Fri Mar 28 10:32:22 2008  using 64kb Pentium 4 sieve core
Fri Mar 28 10:32:22 2008  sieve interval: 18 blocks of size 65536
Fri Mar 28 10:32:22 2008  processing polynomials in batches of 6
Fri Mar 28 10:32:22 2008  using a sieve bound of 1882073 (70588 primes)
Fri Mar 28 10:32:22 2008  using large prime bound of 220202541 (27 bits)
Fri Mar 28 10:32:22 2008  using double large prime bound of 1040112169045794 (42-50 bits)
Fri Mar 28 10:32:22 2008  using trial factoring cutoff of 50 bits
Fri Mar 28 10:32:22 2008  polynomial 'A' values have 12 factors
Fri Mar 28 14:10:29 2008  70703 relations (18168 full + 52535 combined from 917138 partial), need 70684
Fri Mar 28 14:10:32 2008  begin with 935306 relations
Fri Mar 28 14:10:33 2008  reduce to 178180 relations in 11 passes
Fri Mar 28 14:10:33 2008  attempting to read 178180 relations
Fri Mar 28 14:10:38 2008  recovered 178180 relations
Fri Mar 28 14:10:38 2008  recovered 158900 polynomials
Fri Mar 28 14:10:38 2008  attempting to build 70703 cycles
Fri Mar 28 14:10:38 2008  found 70703 cycles in 5 passes
Fri Mar 28 14:10:38 2008  distribution of cycle lengths:
Fri Mar 28 14:10:38 2008     length 1 : 18168
Fri Mar 28 14:10:38 2008     length 2 : 12994
Fri Mar 28 14:10:38 2008     length 3 : 12118
Fri Mar 28 14:10:38 2008     length 4 : 9543
Fri Mar 28 14:10:38 2008     length 5 : 6839
Fri Mar 28 14:10:38 2008     length 6 : 4582
Fri Mar 28 14:10:38 2008     length 7 : 2854
Fri Mar 28 14:10:38 2008     length 9+: 3605
Fri Mar 28 14:10:38 2008  largest cycle: 18 relations
Fri Mar 28 14:10:39 2008  matrix is 70588 x 70703 (17.5 MB) with weight 4300534 (60.83/col)
Fri Mar 28 14:10:39 2008  sparse part has weight 4300534 (60.83/col)
Fri Mar 28 14:10:40 2008  filtering completed in 3 passes
Fri Mar 28 14:10:40 2008  matrix is 66643 x 66705 (16.6 MB) with weight 4094844 (61.39/col)
Fri Mar 28 14:10:40 2008  sparse part has weight 4094844 (61.39/col)
Fri Mar 28 14:10:41 2008  saving the first 48 matrix rows for later
Fri Mar 28 14:10:41 2008  matrix is 66595 x 66705 (9.7 MB) with weight 3134744 (46.99/col)
Fri Mar 28 14:10:41 2008  sparse part has weight 2143080 (32.13/col)
Fri Mar 28 14:10:41 2008  matrix includes 64 packed rows
Fri Mar 28 14:10:41 2008  using block size 21845 for processor cache size 512 kB
Fri Mar 28 14:10:41 2008  commencing Lanczos iteration
Fri Mar 28 14:10:41 2008  memory use: 9.9 MB
Fri Mar 28 14:11:23 2008  lanczos halted after 1055 iterations (dim = 66592)
Fri Mar 28 14:11:23 2008  recovered 16 nontrivial dependencies
Fri Mar 28 14:11:24 2008  prp45 factor: 183423493947434274718688357884837548361877507
Fri Mar 28 14:11:24 2008  prp48 factor: 779441909528350662423303508331947392118799809777
Fri Mar 28 14:11:24 2008  elapsed time 03:39:06

Pentium 4 2.4GHz, Windows XP and Cygwin)

1924477837108123147224947210103213537481957824666511682922405032895670732495495234269782701<91>

7467290566568150971516456465404349<34>
257721032809974451455373522337667266256407960889221270449<57>

Fri Mar 28 07:33:40 2008  Msieve v. 1.33
Fri Mar 28 07:33:40 2008  random seeds: c299d4da fc74c7f6
Fri Mar 28 07:33:40 2008  factoring 1924477837108123147224947210103213537481957824666511682922405032895670732495495234269782701 (91 digits)
Fri Mar 28 07:33:42 2008  searching for 15-digit factors
Fri Mar 28 07:33:43 2008  commencing quadratic sieve (91-digit input)
Fri Mar 28 07:33:44 2008  using multiplier of 1
Fri Mar 28 07:33:44 2008  using 64kb Pentium 4 sieve core
Fri Mar 28 07:33:44 2008  sieve interval: 18 blocks of size 65536
Fri Mar 28 07:33:44 2008  processing polynomials in batches of 6
Fri Mar 28 07:33:44 2008  using a sieve bound of 1648187 (62353 primes)
Fri Mar 28 07:33:44 2008  using large prime bound of 145040456 (27 bits)
Fri Mar 28 07:33:44 2008  using double large prime bound of 490546837774928 (42-49 bits)
Fri Mar 28 07:33:44 2008  using trial factoring cutoff of 49 bits
Fri Mar 28 07:33:44 2008  polynomial 'A' values have 12 factors
Fri Mar 28 10:12:04 2008  62951 relations (16059 full + 46892 combined from 705930 partial), need 62449
Fri Mar 28 10:12:06 2008  begin with 721989 relations
Fri Mar 28 10:12:07 2008  reduce to 156795 relations in 10 passes
Fri Mar 28 10:12:07 2008  attempting to read 156795 relations
Fri Mar 28 10:12:11 2008  recovered 156795 relations
Fri Mar 28 10:12:11 2008  recovered 137251 polynomials
Fri Mar 28 10:12:12 2008  attempting to build 62951 cycles
Fri Mar 28 10:12:12 2008  found 62951 cycles in 5 passes
Fri Mar 28 10:12:12 2008  distribution of cycle lengths:
Fri Mar 28 10:12:12 2008     length 1 : 16059
Fri Mar 28 10:12:12 2008     length 2 : 11660
Fri Mar 28 10:12:12 2008     length 3 : 10892
Fri Mar 28 10:12:12 2008     length 4 : 8647
Fri Mar 28 10:12:12 2008     length 5 : 6192
Fri Mar 28 10:12:12 2008     length 6 : 3994
Fri Mar 28 10:12:12 2008     length 7 : 2473
Fri Mar 28 10:12:12 2008     length 9+: 3034
Fri Mar 28 10:12:12 2008  largest cycle: 19 relations
Fri Mar 28 10:12:12 2008  matrix is 62353 x 62951 (15.5 MB) with weight 3812304 (60.56/col)
Fri Mar 28 10:12:12 2008  sparse part has weight 3812304 (60.56/col)
Fri Mar 28 10:12:13 2008  filtering completed in 4 passes
Fri Mar 28 10:12:13 2008  matrix is 58760 x 58824 (14.5 MB) with weight 3554457 (60.43/col)
Fri Mar 28 10:12:13 2008  sparse part has weight 3554457 (60.43/col)
Fri Mar 28 10:12:14 2008  saving the first 48 matrix rows for later
Fri Mar 28 10:12:14 2008  matrix is 58712 x 58824 (9.1 MB) with weight 2809478 (47.76/col)
Fri Mar 28 10:12:14 2008  sparse part has weight 2043760 (34.74/col)
Fri Mar 28 10:12:14 2008  matrix includes 64 packed rows
Fri Mar 28 10:12:14 2008  using block size 21845 for processor cache size 512 kB
Fri Mar 28 10:12:15 2008  commencing Lanczos iteration
Fri Mar 28 10:12:15 2008  memory use: 9.0 MB
Fri Mar 28 10:12:47 2008  lanczos halted after 929 iterations (dim = 58708)
Fri Mar 28 10:12:47 2008  recovered 15 nontrivial dependencies
Fri Mar 28 10:12:49 2008  prp34 factor: 7467290566568150971516456465404349
Fri Mar 28 10:12:49 2008  prp57 factor: 257721032809974451455373522337667266256407960889221270449
Fri Mar 28 10:12:49 2008  elapsed time 02:39:09

Pentium 4 2.4GHz, Windows XP and Cygwin)

443544254866216998808750089524658078620703252923648872003141955150087884364685415399301236619427428200172187134016356774688760237<129>

31023256647461269459083296692481<32>
14297153258489824550197407114241491781702207804512304053903211398529910877204888068953512227503277<98>

GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM]
Input number is 443544254866216998808750089524658078620703252923648872003141955150087884364685415399301236619427428200172187134016356774688760237 (129 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3942600397
Step 1 took 6710ms
Step 2 took 963ms
********** Factor found in step 2: 31023256647461269459083296692481
Found probable prime factor of 32 digits: 31023256647461269459083296692481
Probable prime cofactor 14297153258489824550197407114241491781702207804512304053903211398529910877204888068953512227503277 has 98 digits

Core 2 Quad Q6600

369057590123322592624484430046904289137743682322487185869321603047323145689859733505472419314532721969171980425324463629196979<126>

40279116793142065245222699843631961<35>
9162504531036749318413204160760887020649789519572774169774160166578798106315855757126370539<91>

GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM]
Input number is 369057590123322592624484430046904289137743682322487185869321603047323145689859733505472419314532721969171980425324463629196979 (126 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3857525578
Step 1 took 6739ms
Step 2 took 4200ms
********** Factor found in step 2: 40279116793142065245222699843631961
Found probable prime factor of 35 digits: 40279116793142065245222699843631961
Probable prime cofactor 9162504531036749318413204160760887020649789519572774169774160166578798106315855757126370539 has 91 digits

Core 2 Quad Q6600

2602628426166141865724615540157791063643988462510517691652800254234982874875625259606153468156270329530203198865116992416151<124>

34459589968363234442648214731087099673642284116938602851917257<62>
75526970244148897784211551730428691782297907191091326903221343<62>

Number: 15557_145
N=2602628426166141865724615540157791063643988462510517691652800254234982874875625259606153468156270329530203198865116992416151
  ( 124 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=34459589968363234442648214731087099673642284116938602851917257 (pp62)
 r2=75526970244148897784211551730428691782297907191091326903221343 (pp62)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 10.28 hours.
Scaled time: 19.10 units (timescale=1.859).
Factorization parameters were as follows:
n: 2602628426166141865724615540157791063643988462510517691652800254234982874875625259606153468156270329530203198865116992416151
m: 100000000000000000000000000000
c5: 14
c0: 13
skew: 0.99
type: snfs
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1575001)
Primes: RFBsize:135072, AFBsize:134738, largePrimes:3901017 encountered
Relations: rels:4097730, finalFF:468243
Max relations in full relation-set: 28
Initial matrix: 269876 x 468243 with sparse part having weight 45370850.
Pruned matrix : 206519 x 207932 with weight 19996486.
Total sieving time: 10.01 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.18 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1800000,1800000,26,26,48,48,2.3,2.3,75000
total time: 10.28 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 8178324k/8912896k available (2439k kernel code, 208016k reserved, 1234k data, 192k init)
Calibrating delay using timer specific routine.. 4812.94 BogoMIPS (lpj=2406472)
Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405149)
Calibrating delay using timer specific routine.. 4809.88 BogoMIPS (lpj=2404940)
Calibrating delay using timer specific routine.. 4918.32 BogoMIPS (lpj=2459163)

Core 2 Quad Q6600

19365826520023010859428539399887992579250945140586280577213432156944909758088486306009712681661603007262546774703976345166669<125>

2955942702886671963377337782719<31>
6551489141217456900333363868481004414477273935372377844460384722109044250808853571620019992051<94>

GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM]
Input number is 19365826520023010859428539399887992579250945140586280577213432156944909758088486306009712681661603007262546774703976345166669 (125 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1605020288
Step 1 took 6690ms
********** Factor found in step 1: 2955942702886671963377337782719
Found probable prime factor of 31 digits: 2955942702886671963377337782719
Probable prime cofactor 6551489141217456900333363868481004414477273935372377844460384722109044250808853571620019992051 has 94 digits

Core 2 Quad Q6600

1176762372700967503894089274669101300884685882156992693160611125133501836249059891526266152790525198162083125242864944859765315481579<133>

14358513758759727537788034211482912833199697379<47>
81955722749024612832935938121912440352553752416715091318119876776484248323691661939801<86>

Number: n
N=1176762372700967503894089274669101300884685882156992693160611125133501836249059891526266152790525198162083125242864944859765315481579
  ( 133 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=14358513758759727537788034211482912833199697379 (pp47)
 r2=81955722749024612832935938121912440352553752416715091318119876776484248323691661939801 (pp86)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 19.00 hours.
Scaled time: 27.51 units (timescale=1.448).
Factorization parameters were as follows:
name: KA_1_5_149_7
n: 1176762372700967503894089274669101300884685882156992693160611125133501836249059891526266152790525198162083125242864944859765315481579
skew: 0.99
deg: 5
c5: 14
c0: 13
m: 1000000000000000000000000000000
type: snfs
rlim: 2500000
alim: 2500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 900001)
Primes: RFBsize:183072, AFBsize:182921, largePrimes:6875726 encountered
Relations: rels:6448717, finalFF:540389
Max relations in full relation-set: 28
Initial matrix: 366059 x 540389 with sparse part having weight 38593507.
Pruned matrix : 232412 x 234306 with weight 19896749.
Total sieving time: 17.18 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 1.60 hours.
Total square root time: 0.05 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2500000,2500000,28,28,48,48,2.5,2.5,100000
total time: 19.00 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

2438629938499296133491619142929611093991847945494523527378368041823708212062716661647080595097808104570147460693796634688057769776161039830917<142>

173460172689027899665086107807131828832709509246937443<54>
14058731181313703042304048180548635368310516923726637061756330334276648276290706574486519<89>

Number: n
N=2438629938499296133491619142929611093991847945494523527378368041823708212062716661647080595097808104570147460693796634688057769776161039830917
  ( 142 digits)
SNFS difficulty: 153 digits.
Divisors found:

Tue Apr 01 07:40:21 2008  prp54 factor: 173460172689027899665086107807131828832709509246937443
Tue Apr 01 07:40:21 2008  prp89 factor: 14058731181313703042304048180548635368310516923726637061756330334276648276290706574486519
Tue Apr 01 07:40:21 2008  elapsed time 00:53:45 (Msieve 1.33)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 29.91 hours.
Scaled time: 39.03 units (timescale=1.305).
Factorization parameters were as follows:
name: KA_1_5_151_7
n: 2438629938499296133491619142929611093991847945494523527378368041823708212062716661647080595097808104570147460693796634688057769776161039830917
skew: 0.39
deg: 5
c5: 1400
c0: 13
m: 1000000000000000000000000000000
type: snfs
rlim: 2800000
alim: 2800000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 1200000
)
Primes: RFBsize:203362, AFBsize:203057, largePrimes:7157192 encountered
Relations: rels:6740859, finalFF:571144
Max relations in full relation-set: 28
Initial matrix: 406486 x 571144 with sparse part having weight 41884449.
Pruned matrix : 277790 x 279886 with weight 22751566.
Total sieving time: 27.09 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 2.62 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,153,5,0,0,0,0,0,0,0,0,2800000,2800000,28,28,48,48,2.5,2.5,100000
total time: 29.91 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

7890359164519649918282089173126349428290545163104784904474464510202623636635719264049196386909347726755702282893838520705320025688374748859<139>

460973496523002946310180089475028301423<39>
17116730623418638738910176920615522214699754984748042446821276475378442415835456701206067027207625333<101>

GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 7890359164519649918282089173126349428290545163104784904474464510202623636635719264049196386909347726755702282893838520705320025688374748859 (139 digits)
Using B1=1304000, B2=1225454746, polynomial Dickson(6), sigma=4287302706
Step 1 took 18906ms
Step 2 took 10250ms
********** Factor found in step 2: 460973496523002946310180089475028301423
Found probable prime factor of 39 digits: 460973496523002946310180089475028301423
Probable prime cofactor 17116730623418638738910176920615522214699754984748042446821276475378442415835456701206067027207625333 has 101 digits

4837065681774093718251116801511046020210139612900427557252330234045588282189199187430521628630229251<100>

91289570793444294608922077211552637967747<41>
52985961482047564535054459735932602456339456869443192968833<59>

Number: 15557_154
N=4837065681774093718251116801511046020210139612900427557252330234045588282189199187430521628630229251
  ( 100 digits)
Divisors found:
 r1=91289570793444294608922077211552637967747 (pp41)
 r2=52985961482047564535054459735932602456339456869443192968833 (pp59)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 3.89 hours.
Scaled time: 7.22 units (timescale=1.858).
Factorization parameters were as follows:
name: 15557_154
n: 4837065681774093718251116801511046020210139612900427557252330234045588282189199187430521628630229251
skew: 1367.70
# norm 2.96e+13
c5: 1198800
c4: 4597956255
c3: -6493910268984
c2: -5946587059349494
c1: 7130478681524009176
c0: 62082080180362892391
# alpha -5.23
Y1: 44023727389
Y0: -5262162593316141434
# Murphy_E 3.39e-09
# M 1269640190083716933541114628036959286252817572829869594382248791084356352137432559737845299331323783
type: gnfs
rlim: 1500000
alim: 1500000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [750000, 1300001)
Primes: RFBsize:114155, AFBsize:114143, largePrimes:3920628 encountered
Relations: rels:3890336, finalFF:335002
Max relations in full relation-set: 28
Initial matrix: 228377 x 335002 with sparse part having weight 26931258.
Pruned matrix : 170218 x 171423 with weight 11732275.
Polynomial selection time: 0.25 hours.
Total sieving time: 3.42 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
gnfs,99,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,26,26,48,48,2.5,2.5,50000
total time: 3.89 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 8178324k/8912896k available (2439k kernel code, 208016k reserved, 1234k data, 192k init)
Calibrating delay using timer specific routine.. 4812.92 BogoMIPS (lpj=2406460)
Calibrating delay using timer specific routine.. 4810.27 BogoMIPS (lpj=2405136)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405131)

Core 2 Quad Q6600

1584293538572948347292846286312605310049603816960943641183522320318649105786798116802819088299279<97>

2306054698995868998921453543665437775116819<43>
687014726607656415295394436693947860736093596616456341<54>

Fri Mar 28 14:24:16 2008  Msieve v. 1.33
Fri Mar 28 14:24:16 2008  random seeds: 8d254ebd b45fce0d
Fri Mar 28 14:24:16 2008  factoring 1584293538572948347292846286312605310049603816960943641183522320318649105786798116802819088299279 (97 digits)
Fri Mar 28 14:24:17 2008  searching for 15-digit factors
Fri Mar 28 14:24:19 2008  commencing quadratic sieve (97-digit input)
Fri Mar 28 14:24:20 2008  using multiplier of 31
Fri Mar 28 14:24:20 2008  using 64kb Pentium 4 sieve core
Fri Mar 28 14:24:20 2008  sieve interval: 18 blocks of size 65536
Fri Mar 28 14:24:20 2008  processing polynomials in batches of 6
Fri Mar 28 14:24:20 2008  using a sieve bound of 2334881 (85814 primes)
Fri Mar 28 14:24:20 2008  using large prime bound of 350232150 (28 bits)
Fri Mar 28 14:24:20 2008  using double large prime bound of 2397953724173250 (43-52 bits)
Fri Mar 28 14:24:20 2008  using trial factoring cutoff of 52 bits
Fri Mar 28 14:24:20 2008  polynomial 'A' values have 13 factors
Fri Mar 28 23:05:04 2008  86008 relations (21231 full + 64777 combined from 1284617 partial), need 85910
Fri Mar 28 23:05:09 2008  begin with 1305848 relations
Fri Mar 28 23:05:10 2008  reduce to 223087 relations in 11 passes
Fri Mar 28 23:05:10 2008  attempting to read 223087 relations
Fri Mar 28 23:05:18 2008  recovered 223087 relations
Fri Mar 28 23:05:18 2008  recovered 209473 polynomials
Fri Mar 28 23:05:18 2008  attempting to build 86008 cycles
Fri Mar 28 23:05:19 2008  found 86008 cycles in 5 passes
Fri Mar 28 23:05:19 2008  distribution of cycle lengths:
Fri Mar 28 23:05:19 2008     length 1 : 21231
Fri Mar 28 23:05:19 2008     length 2 : 15103
Fri Mar 28 23:05:19 2008     length 3 : 14640
Fri Mar 28 23:05:19 2008     length 4 : 11690
Fri Mar 28 23:05:19 2008     length 5 : 8817
Fri Mar 28 23:05:19 2008     length 6 : 5845
Fri Mar 28 23:05:19 2008     length 7 : 3640
Fri Mar 28 23:05:19 2008     length 9+: 5042
Fri Mar 28 23:05:19 2008  largest cycle: 20 relations
Fri Mar 28 23:05:19 2008  matrix is 85814 x 86008 (23.1 MB) with weight 5717670 (66.48/col)
Fri Mar 28 23:05:19 2008  sparse part has weight 5717670 (66.48/col)
Fri Mar 28 23:05:21 2008  filtering completed in 3 passes
Fri Mar 28 23:05:21 2008  matrix is 81869 x 81933 (22.2 MB) with weight 5481881 (66.91/col)
Fri Mar 28 23:05:21 2008  sparse part has weight 5481881 (66.91/col)
Fri Mar 28 23:05:22 2008  saving the first 48 matrix rows for later
Fri Mar 28 23:05:22 2008  matrix is 81821 x 81933 (13.9 MB) with weight 4319361 (52.72/col)
Fri Mar 28 23:05:22 2008  sparse part has weight 3151156 (38.46/col)
Fri Mar 28 23:05:22 2008  matrix includes 64 packed rows
Fri Mar 28 23:05:22 2008  using block size 21845 for processor cache size 512 kB
Fri Mar 28 23:05:23 2008  commencing Lanczos iteration
Fri Mar 28 23:05:23 2008  memory use: 13.4 MB
Fri Mar 28 23:06:30 2008  lanczos halted after 1296 iterations (dim = 81820)
Fri Mar 28 23:06:30 2008  recovered 17 nontrivial dependencies
Fri Mar 28 23:06:32 2008  prp43 factor: 2306054698995868998921453543665437775116819
Fri Mar 28 23:06:32 2008  prp54 factor: 687014726607656415295394436693947860736093596616456341
Fri Mar 28 23:06:32 2008  elapsed time 08:42:16

Pentium 4 2.4GHz, Windows XP and Cygwin)

14569501567160585814901710440786511367556393436049973012285870292289222161159866566292118930478367602441755073<110>

1210558913543004506210542223385032067495000517<46>
12035351112751119719236488570794160664363849366208366689915448269<65>

Number: 15557_158
N=14569501567160585814901710440786511367556393436049973012285870292289222161159866566292118930478367602441755073
  ( 110 digits)
Divisors found:
 r1=1210558913543004506210542223385032067495000517 (pp46)
 r2=12035351112751119719236488570794160664363849366208366689915448269 (pp65)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 14.56 hours.
Scaled time: 27.06 units (timescale=1.859).
Factorization parameters were as follows:
name: 15557_158
n: 14569501567160585814901710440786511367556393436049973012285870292289222161159866566292118930478367602441755073
skew: 23466.91
# norm 4.30e+14
c5: 720
c4: -141763316
c3: -19615208060397
c2: 21839928663373314
c1: 1559345164302976886012
c0: -57832564243336272936728
# alpha -4.47
Y1: 336403296409
Y0: -1824843363352675883485
# Murphy_E 1.08e-09
# M 8863611329542007331398799307946931115871032908372565814999860843772890406313742186603022619801783138163488601
type: gnfs
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
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: 50/50
Sieved algebraic special-q in [1200000, 1920001)
Primes: RFBsize:176302, AFBsize:176832, largePrimes:7632173 encountered
Relations: rels:7526024, finalFF:533618
Max relations in full relation-set: 28
Initial matrix: 353208 x 533618 with sparse part having weight 52117188.
Pruned matrix : 249410 x 251240 with weight 27367049.
Polynomial selection time: 0.78 hours.
Total sieving time: 13.25 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.32 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
gnfs,109,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2400000,2400000,27,27,50,50,2.6,2.6,60000
total time: 14.56 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 8178324k/8912896k available (2439k kernel code, 208016k reserved, 1234k data, 192k init)
Calibrating delay using timer specific routine.. 4812.94 BogoMIPS (lpj=2406472)
Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405149)
Calibrating delay using timer specific routine.. 4809.88 BogoMIPS (lpj=2404940)
Calibrating delay using timer specific routine.. 4918.32 BogoMIPS (lpj=2459163)

Core 2 Quad Q6600

34669849575217344310845040652106352293609204790812820723875869971786291483583767823534769101797762193083626549678947507787187663376379745032085295237<149>

554744215891826596967898958649652091064445903153743400082444519<63>
62497000567154822830083056990318365077569268883257990021576401794532332846554110732723<86>

Number: n
N=34669849575217344310845040652106352293609204790812820723875869971786291483583767823534769101797762193083626549678947507787187663376379745032085295237
  ( 149 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=554744215891826596967898958649652091064445903153743400082444519 (pp63)
 r2=62497000567154822830083056990318365077569268883257990021576401794532332846554110732723 (pp86)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 29.54 hours.
Scaled time: 53.85 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_1_5_158_7
n: 34669849575217344310845040652106352293609204790812820723875869971786291483583767823534769101797762193083626549678947507787187663376379745032085295237
skew: 1.56
deg: 5
c5: 7
c0: 65
m: 100000000000000000000000000000000
type: snfs
rlim: 2800000
alim: 2800000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1900001)
Primes: RFBsize:203362, AFBsize:203982, largePrimes:7130306 encountered
Relations: rels:6561429, finalFF:456380
Max relations in full relation-set: 48
Initial matrix: 407409 x 456380 with sparse part having weight 44465696.
Pruned matrix : 375407 x 377508 with weight 31102632.
Total sieving time: 27.88 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 1.43 hours.
Total square root time: 0.06 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,2800000,2800000,28,28,48,48,2.5,2.5,100000
total time: 29.54 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

1422493306658262792422596582282164491360765077603258821754623045986835929330369940044454657354844441330750682548671902495714714097457993700151751981<148>

176720868675475223470096867570916437052715191<45>
8049379325259462249231277994447239129423049602136274705815379461742465805843495476803214658460885605691<103>

Number: n
N=1422493306658262792422596582282164491360765077603258821754623045986835929330369940044454657354844441330750682548671902495714714097457993700151751981
  ( 148 digits)
SNFS difficulty: 161 digits.
Divisors found:

Mon Mar 31 18:59:06 2008  prp45 factor: 176720868675475223470096867570916437052715191
Mon Mar 31 18:59:06 2008  prp103 factor: 8049379325259462249231277994447239129423049602136274705815379461742465805843495476803214658460885605691
Mon Mar 31 18:59:06 2008  elapsed time 00:50:23 (Msieve 1.33)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 30.71 hours.
Scaled time: 56.16 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_1_5_159_7
n: 1422493306658262792422596582282164491360765077603258821754623045986835929330369940044454657354844441330750682548671902495714714097457993700151751981
skew: 0.99
deg: 5
c5: 14
c0: 13
m: 100000000000000000000000000000000
type: snfs
rlim: 2800000
alim: 2800000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2100277)
Primes: RFBsize:203362, AFBsize:202952, largePrimes:7188501 encountered
Relations: rels:6611896, finalFF:448791
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 30.53 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,2800000,2800000,28,28,48,48,2.5,2.5,100000
total time: 30.71 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

176765668066903280139493364343081959927223049233026392376854303423319684498534738872916848167129413933427524182174697509750520511761861291980267900996074539557<159>

49844159806140022457656033933584078006954093974713327381627<59>
3546366690789890875339022615239880757403094877861401298222832779627443194683536889140462772150874591<100>

Number: n
N=176765668066903280139493364343081959927223049233026392376854303423319684498534738872916848167129413933427524182174697509750520511761861291980267900996074539557
  ( 159 digits)
SNFS difficulty: 164 digits.
Divisors found:

Thu Apr 03 01:28:54 2008  prp59 factor: 49844159806140022457656033933584078006954093974713327381627
Thu Apr 03 01:28:54 2008  prp100 factor: 3546366690789890875339022615239880757403094877861401298222832779627443194683536889140462772150874591
Thu Apr 03 01:28:54 2008  elapsed time 02:02:23 (Msieve 1.33)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 70.94 hours.
Scaled time: 124.29 units (timescale=1.752).
Factorization parameters were as follows:
name: KA_1_5_162_7
n: 176765668066903280139493364343081959927223049233026392376854303423319684498534738872916848167129413933427524182174697509750520511761861291980267900996074539557
type: snfs
skew: 0.49
deg: 5
c5: 875
c0: 26
m: 200000000000000000000000000000000
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 3500383)
Primes: RFBsize:216816, AFBsize:217331, largePrimes:7559625 encountered
Relations: rels:6970216, finalFF:449362
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 70.68 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,164,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.3,2.3,100000
total time: 70.94 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

31050625593694442693639838811862858054267824545475864004072009310780764689179135815980698089427284256451174079899152007310189<125>

335286451551713195473353730926391<33>
92609246362301408513269952814555626164032637076591129306358448623522057405639132520561888379<92>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3294866312
Step 1 took 34035ms
Step 2 took 13670ms
********** Factor found in step 2: 335286451551713195473353730926391
Found probable prime factor of 33 digits: 335286451551713195473353730926391
Probable prime cofactor 92609246362301408513269952814555626164032637076591129306358448623522057405639132520561888379 has 92 digits

GMP-ECM 6.2.1

28327013306699478869960830442315911317594608816905007450792855222460639686581563935653257941262941271082983192698551516952503868804358806473573694224639<152>

2751461415938068940031721791383722177284005129423967220834594463<64>
10295260962996936786428578940226454300694799495582135846749154176383181465811565185038753<89>

N=28327013306699478869960830442315911317594608816905007450792855222460639686581563935653257941262941271082983192698551516952503868804358806473573694224639
  ( 152 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=2751461415938068940031721791383722177284005129423967220834594463 (pp64)
 r2=10295260962996936786428578940226454300694799495582135846749154176383181465811565185038753 (pp89)
Version: Msieve-1.44
Total time: 45.63 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 28327013306699478869960830442315911317594608816905007450792855222460639686581563935653257941262941271082983192698551516952503868804358806473573694224639
m: 10000000000000000000000000000000000
deg: 5
c5: 1400
c0: 13
skew: 0.39
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5

Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved rational special-q in [2700000, 5202501)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 908907 x 909140
Total sieving time: 44.36 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 1.00 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5400000,5400000,29,29,57,57,2.5,2.5,2500
total time: 45.63 hours.
 --------- CPU info (if available) ----------
[    0.144009] CPU0: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.235321] CPU1: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.331196] CPU2: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.428180] CPU3: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.004000] Memory: 8197988k/10485760k available (2226k kernel code, 189848k reserved, 1082k data, 392k init)
[    0.083917] Calibrating delay using timer specific routine.. 6004.11 BogoMIPS (lpj=12008231)
[    0.156009] Calibrating delay using timer specific routine.. 8400.06 BogoMIPS (lpj=16800120)
[    0.248015] Calibrating delay using timer specific routine.. 6000.08 BogoMIPS (lpj=12000173)
[    0.347721] Calibrating delay using timer specific routine.. 6000.07 BogoMIPS (lpj=12000153)
[    0.435722] Total of 4 processors activated (26404.33 BogoMIPS).

36156037123125502622969438402912988930608695066299116884293198451869521858700386308103632752166644927937407809055380336011140751311591498855220097117<149>

15094299392472295471012578918958396507849982053459512294277626083<65>
2395343843594154712664258775420630552654869215310077762358711922989920258689205630399<85>

N=36156037123125502622969438402912988930608695066299116884293198451869521858700386308103632752166644927937407809055380336011140751311591498855220097117
  ( 149 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=15094299392472295471012578918958396507849982053459512294277626083 (pp65)
 r2=2395343843594154712664258775420630552654869215310077762358711922989920258689205630399 (pp85)
Version: Msieve-1.40
Total time: 82.44 hours.
Scaled time: 156.14 units (timescale=1.894).
Factorization parameters were as follows:
n: 36156037123125502622969438402912988930608695066299116884293198451869521858700386308103632752166644927937407809055380336011140751311591498855220097117
m: 10000000000000000000000000000000000
deg: 5
c5: 14000
c0: 13
skew: 0.25
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
qintsize: 300000Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2800000, 7300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 923795 x 924021
Total sieving time: 81.30 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.92 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,174.000,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 82.44 hours.
 --------- CPU info (if available) ----------

20217579077231537431052089071356790787401703567019031609824516741960309466905767018615314160954929769021383200252743<116>

31629929246645939988995179923731<32>
169880476199414315120627039721035669406193<42>
3762594880955972138233267550313660219155021<43>

GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM]
Input number is 20217579077231537431052089071356790787401703567019031609824516741960309466905767018615314160954929769021383200252743 (116 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3980233548
Step 1 took 5677ms
Step 2 took 3744ms
********** Factor found in step 2: 31629929246645939988995179923731
Found probable prime factor of 32 digits: 31629929246645939988995179923731
Composite cofactor 639191410122279163148017701746752433185828061621198481956163067234502766843284445053 has 84 digits

Mon Mar 31 01:13:54 2008  
Mon Mar 31 01:13:54 2008  
Mon Mar 31 01:13:54 2008  Msieve v. 1.32
Mon Mar 31 01:13:54 2008  random seeds: 94f519b9 93265061
Mon Mar 31 01:13:54 2008  factoring 639191410122279163148017701746752433185828061621198481956163067234502766843284445053 (84 digits)
Mon Mar 31 01:13:55 2008  no P-1/P+1/ECM available, skipping
Mon Mar 31 01:13:55 2008  commencing quadratic sieve (84-digit input)
Mon Mar 31 01:13:55 2008  using multiplier of 53
Mon Mar 31 01:13:55 2008  using 32kb Intel Core sieve core
Mon Mar 31 01:13:55 2008  sieve interval: 12 blocks of size 32768
Mon Mar 31 01:13:55 2008  processing polynomials in batches of 17
Mon Mar 31 01:13:55 2008  using a sieve bound of 1406651 (53824 primes)
Mon Mar 31 01:13:55 2008  using large prime bound of 119565335 (26 bits)
Mon Mar 31 01:13:55 2008  using double large prime bound of 346488982123175 (41-49 bits)
Mon Mar 31 01:13:55 2008  using trial factoring cutoff of 49 bits
Mon Mar 31 01:13:55 2008  polynomial 'A' values have 11 factors
Mon Mar 31 01:38:27 2008  54052 relations (16129 full + 37923 combined from 570254 partial), need 53920
Mon Mar 31 01:38:27 2008  begin with 586383 relations
Mon Mar 31 01:38:28 2008  reduce to 126153 relations in 10 passes
Mon Mar 31 01:38:28 2008  attempting to read 126153 relations
Mon Mar 31 01:38:28 2008  recovered 126153 relations
Mon Mar 31 01:38:28 2008  recovered 103827 polynomials
Mon Mar 31 01:38:29 2008  attempting to build 54052 cycles
Mon Mar 31 01:38:29 2008  found 54052 cycles in 5 passes
Mon Mar 31 01:38:29 2008  distribution of cycle lengths:
Mon Mar 31 01:38:29 2008     length 1 : 16129
Mon Mar 31 01:38:29 2008     length 2 : 11039
Mon Mar 31 01:38:29 2008     length 3 : 9492
Mon Mar 31 01:38:29 2008     length 4 : 6896
Mon Mar 31 01:38:29 2008     length 5 : 4448
Mon Mar 31 01:38:29 2008     length 6 : 2780
Mon Mar 31 01:38:29 2008     length 7 : 1585
Mon Mar 31 01:38:29 2008     length 9+: 1683
Mon Mar 31 01:38:29 2008  largest cycle: 17 relations
Mon Mar 31 01:38:29 2008  matrix is 53824 x 54052 with weight 2770048 (avg 51.25/col)
Mon Mar 31 01:38:29 2008  filtering completed in 3 passes
Mon Mar 31 01:38:29 2008  matrix is 48951 x 49015 with weight 2526076 (avg 51.54/col)
Mon Mar 31 01:38:30 2008  saving the first 48 matrix rows for later
Mon Mar 31 01:38:30 2008  matrix is 48903 x 49015 with weight 1850677 (avg 37.76/col)
Mon Mar 31 01:38:30 2008  matrix includes 64 packed rows
Mon Mar 31 01:38:30 2008  commencing Lanczos iteration
Mon Mar 31 01:39:09 2008  lanczos halted after 774 iterations (dim = 48897)
Mon Mar 31 01:39:09 2008  recovered 13 nontrivial dependencies
Mon Mar 31 01:39:09 2008  prp42 factor: 169880476199414315120627039721035669406193
Mon Mar 31 01:39:09 2008  prp43 factor: 3762594880955972138233267550313660219155021
Mon Mar 31 01:39:09 2008  elapsed time 00:25:15

Core 2 Quad Q6600

629087785428239309193917077402466525343578342142353384667324295568455018751670926008526363698542087150055435640899411193781566711888951<135>

943589182790095716853221478771215292103826234123538799<54>
666696690574696636921205981298963464636172074349673452599464926213923757482872249<81>

N = 629087785428239309193917077402466525343578342142353384667324295568455018751670926008526363698542087150055435640899411193781566711888951 (135 digits)
SNFS difficulty: 177 digits.
Divisors found:
r1=943589182790095716853221478771215292103826234123538799 (pp54)
r2=666696690574696636921205981298963464636172074349673452599464926213923757482872249 (pp81)
Version: Msieve v. 1.47
Total time: 35.95 hours.
Factorization parameters were as follows:
name: (14*10^175+13)/9
n: 629087785428239309193917077402466525343578342142353384667324295568455018751670926008526363698542087150055435640899411193781566711888951
Y0: 100000000000000000000000000000000000
Y1: -1
c0: 13
c1: 0
c2: 0
c3: 0
c4: 0
c5: 14
skew: 0.99
type: snfs
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 20216669
Relations: 2570302 relations
Pruned matrix : 1436056 x 1436281
Polynomial selection time: 0.00 hours.
Total sieving time: 30.99 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 4.65 hours.
time per square root: 0.16 hours.
Prototype def-par.txt line would be: snfs,177,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,55,55,2.5,2.5,100000
total time: 35.95 hours.
Intel64 Family 6 Model 37 Stepping 5, GenuineIntel
Windows-7-6.1.7600
processors: 4, speed: 2.53GHz

368831305557533886078552869824712986738852047747329850196965849445911833810709245434879264891654009288789597031038212501468560791127684593957421222732466757<156>

75673731585174885646652891947142687<35>

4873967463100379353745376751283071471360132766815443372797019757665822699710372771436850200106168063430594143421451555611<121>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3694144869
Step 1 took 16252ms
********** Factor found in step 1: 75673731585174885646652891947142687
Found probable prime factor of 35 digits: 75673731585174885646652891947142687
Composite cofactor 4873967463100379353745376751283071471360132766815443372797019757665822699710372771436850200106168063430594143421451555611 has 121 digits

GMP-ECM 6.3

4873967463100379353745376751283071471360132766815443372797019757665822699710372771436850200106168063430594143421451555611<121>

4067186307603722746665701130973573937824949<43>
1198363461734800749348368861758501307318069828203480045956382538142419216247439<79>

N = 4873967463100379353745376751283071471360132766815443372797019757665822699710372771436850200106168063430594143421451555611 (121 digits)
Divisors found:
r1=4067186307603722746665701130973573937824949 (pp43)
r2=1198363461734800749348368861758501307318069828203480045956382538142419216247439 (pp79)
Version: Msieve v. 1.47
Total time: 16.60 hours.
Factorization parameters were as follows:
n: 4873967463100379353745376751283071471360132766815443372797019757665822699710372771436850200106168063430594143421451555611
Y0: -241446343132259125057305
Y1: 8014344482797
c0: 630598290845910437922046029008
c1: 37180736996645332448537306
c2: 282987663161447427421
c3: -1391051373130634
c4: -2876004642
c5: 5940
skew: 257977.34 
type: gnfs
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10713210
Relations: 1259982 relations
Pruned matrix : 729369 x 729596
Polynomial selection time: 0.00 hours.
Total sieving time: 15.53 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.88 hours.
time per square root: 0.11 hours.
Prototype def-par.txt line would be: gnfs,120,5,65,2000,1e-05,0.28,250,20,50000,3600,4400000,4400000,27,27,53,53,2.5,2.5,100000
total time: 16.60 hours.
Intel64 Family 6 Model 37 Stepping 5, GenuineIntel
Windows-7-6.1.7600
processors: 4, speed: 2.53GHz

793877254016286186713404827558341497513629644401743049465246576189857217479398590288788966047492887111419582113754233391729940581522887797396635461052313943270176621<165>

336667759851061531631616771395134071407204916884819493564833506940428534991<75>
2358043592791568719765921833146645991696987495531960124690923697648323801325442819355100931<91>

Number: n
N=793877254016286186713404827558341497513629644401743049465246576189857217479398590288788966047492887111419582113754233391729940581522887797396635461052313943270176621
  ( 165 digits)
SNFS difficulty: 178 digits.
Divisors found:

Wed Jan 11 17:43:42 2012  prp75 factor: 336667759851061531631616771395134071407204916884819493564833506940428534991
Wed Jan 11 17:43:42 2012  prp91 factor: 2358043592791568719765921833146645991696987495531960124690923697648323801325442819355100931
Wed Jan 11 17:43:42 2012  elapsed time 02:29:12 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.650).
Factorization parameters were as follows:
name: KA_15557_177
n: 793877254016286186713404827558341497513629644401743049465246576189857217479398590288788966047492887111419582113754233391729940581522887797396635461052313943270176621
m: 100000000000000000000000000000000000
deg: 5
c5: 1400
c0: 13
skew: 0.39
type: snfs
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 9000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9110999 hash collisions in 75000096 relations
Msieve: matrix is 1086998 x 1087240 (303.1 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.06 BogoMIPS (lpj=2797533)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

484419683560503434711211952049846095361968942164405234483982056514865095551053461809888295335723635899350499413361514935941644898561006282223605092052319135320006061<165>

4002401556327841756942256860476768562561<40>

121032254445991427594516916376995211571262510476161425277058625140704282346522665168918692360736454727721847511115922681683501<126>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2827116206
Step 1 took 26741ms
Step 2 took 9760ms
********** Factor found in step 2: 4002401556327841756942256860476768562561
Found probable prime factor of 40 digits: 4002401556327841756942256860476768562561
Composite cofactor 121032254445991427594516916376995211571262510476161425277058625140704282346522665168918692360736454727721847511115922681683501 has 126 digits

GMP-ECM 6.4.2 [config GMP 5.0.4,] [ECM]

Core i5, 3.3 GHz, OpenSUSE

121032254445991427594516916376995211571262510476161425277058625140704282346522665168918692360736454727721847511115922681683501<126>

40351456934453932524193541790601890787769<41>
2999451906844248639422521586425742038143161729231820897228908637106308208189734967829<85>

N = 121032254445991427594516916376995211571262510476161425277058625140704282346522665168918692360736454727721847511115922681683501 (126 digits)
Divisors found:
r1=40351456934453932524193541790601890787769 (pp41)
r2=2999451906844248639422521586425742038143161729231820897228908637106308208189734967829 (pp85)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 16.21 hours.
Factorization parameters were as follows:
n: 121032254445991427594516916376995211571262510476161425277058625140704282346522665168918692360736454727721847511115922681683501
Y0: -2076902933988925179873242
Y1: 21462236769323
c0: -324599433143523880088104676317395
c1: 1011210905720296546774654461
c2: 4310722240777138234891
c3: -4997296114364369
c4: -1137303600
c5: 3132
skew: 819214.84 
type: gnfs
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 18426597
Relations: 2011344 relations
Pruned matrix : 1106216 x 1106454
Polynomial selection time: 0.00 hours.
Total sieving time: 14.97 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.90 hours.
time per square root: 0.26 hours.
Prototype def-par.txt line would be: gnfs,125,5,65,2000,1e-05,0.28,250,20,50000,3600,5800000,5800000,28,28,55,55,2.5,2.5,100000
total time: 16.21 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

181556716701735318000285646233093078865173726473426849870329281731370328340277429268555152227878446071034117071635652829141687790244696911680788264544391131041117483<165>

593927361341773575913247340715271937727<39>
305688420030979333129303487531415725701884096347261576861772591849591725922418120161383145078929940547269619516252176989614229<126>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2946782926
Step 1 took 99846ms
Step 2 took 34067ms
********** Factor found in step 2: 593927361341773575913247340715271937727
Found probable prime factor of 39 digits: 593927361341773575913247340715271937727

4002342398333258127890260652008375229660589005959776857415700989854833614663269321775844662408752407435039293443900340575352631930255229394753423862481852561229877348437331909213<178>

32211355667256214003052408226412332924688758143157178717515568466639<68>
124252528818641319747601166487470926389101656916671281203817010438900956841011591928739459897464323768856699667<111>

N=4002342398333258127890260652008375229660589005959776857415700989854833614663269321775844662408752407435039293443900340575352631930255229394753423862481852561229877348437331909213
  ( 178 digits)
SNFS difficulty: 187 digits.
Divisors found:
 r1=32211355667256214003052408226412332924688758143157178717515568466639 (pp68)
 r2=124252528818641319747601166487470926389101656916671281203817010438900956841011591928739459897464323768856699667 (pp111)
Version: Msieve v. 1.49
Total time:
Scaled time: 25.73 units (timescale=0.700).
Factorization parameters were as follows:
n: 4002342398333258127890260652008375229660589005959776857415700989854833614663269321775844662408752407435039293443900340575352631930255229394753423862481852561229877348437331909213
m: 10000000000000000000000000000000000000
deg: 5
c5: 140
c0: 13
skew: 0.62
type: snfs
lss: 1
rlim: 9200000
alim: 9200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 9200000/9200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4600000, 13880001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1978909 x 1979020
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,187.000,5,0,0,0,0,0,0,0,0,9200000,9200000,28,28,54,54,2.5,2.5,100000
total time:

428152896445322659432693191845682515214038541400151045613748965693463205930047284930642273719657465572233242419041478636058884638523338826932565273522282038545914105868137293575141<180>

41017042219485640339156142412894382806947540407348838114497061<62>
10438414699778704786320375100820170726524090453577372422961534388652945237533678807037493951398700917822410488556441281<119>

Number: 180s
N=428152896445322659432693191845682515214038541400151045613748965693463205930047284930642273719657465572233242419041478636058884638523338826932565273522282038545914105868137293575141
  ( 180 digits)
SNFS difficulty: 188 digits.
Divisors found:
 r1=41017042219485640339156142412894382806947540407348838114497061 (pp62)
 r2=10438414699778704786320375100820170726524090453577372422961534388652945237533678807037493951398700917822410488556441281 (pp119)
Version: Msieve-1.40
Total time: 394.00 hours.
Scaled time: 754.90 units (timescale=1.916).
Factorization parameters were as follows:
n: 428152896445322659432693191845682515214038541400151045613748965693463205930047284930642273719657465572233242419041478636058884638523338826932565273522282038545914105868137293575141
m: 10000000000000000000000000000000000000
deg: 5
c5: 1400
c0: 13
skew: 0.39
type: snfs
lss: 1
rlim: 9600000
alim: 9600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 300000Factor base limits: 9600000/9600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4800000, 9000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1887168 x 1887394
Total sieving time: 383.51 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 9.98 hours.
Time per square root: 0.27 hours.
Prototype def-par.txt line would be:
snfs,188.000,5,0,0,0,0,0,0,0,0,9600000,9600000,28,28,54,54,2.5,2.5,100000
total time: 394.00 hours.
 --------- CPU info (if available) ----------

441332575454190120152852747005603803313174538084437983974941903589525826635616880185937146297851585483141699350366051117416577040513330417763099046274027542891<159>

99043568744255374155394271620286606733071531444089062857957064161083<68>
4455943793723485453793153814921356012497774525225104057014700720082428793287506294654706577<91>

N=441332575454190120152852747005603803313174538084437983974941903589525826635616880185937146297851585483141699350366051117416577040513330417763099046274027542891
  ( 159 digits)
SNFS difficulty: 189 digits.
Divisors found:
 r1=99043568744255374155394271620286606733071531444089062857957064161083 (pp68)
 r2=4455943793723485453793153814921356012497774525225104057014700720082428793287506294654706577 (pp91)
Version: Msieve-1.40
Total time: 308.21 hours.
Scaled time: 594.24 units (timescale=1.928).
Factorization parameters were as follows:
n: 441332575454190120152852747005603803313174538084437983974941903589525826635616880185937146297851585483141699350366051117416577040513330417763099046274027542891
m: 10000000000000000000000000000000000000
deg: 5
c5: 14000
c0: 13
skew: 0.25
# Murphy_E = 3.846e-11
type: snfs
lss: 1
rlim: 9900000
alim: 9900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 9900000/9900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4950000, 9750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1818512 x 1818739
Total sieving time: 303.77 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 3.69 hours.
Time per square root: 0.54 hours.
Prototype def-par.txt line would be:
snfs,189.000,5,0,0,0,0,0,0,0,0,9900000,9900000,28,28,54,54,2.5,2.5,100000
total time: 308.21 hours.
 --------- CPU info (if available) ----------

6624149092562547344922755324278121523800331112823926805045141210298280702103025390836625298855583613558497624059666549797750533598867081243769159759808353903682033273100891941675313547<184>

105710148846282991542608082617522973546816077322784817129533877099<66>
62663321969160839400808382294200257921242353637900485340116149982481672614546371773077049279217999555555831187502342753<119>

Number: n
N=6624149092562547344922755324278121523800331112823926805045141210298280702103025390836625298855583613558497624059666549797750533598867081243769159759808353903682033273100891941675313547
  ( 184 digits)
SNFS difficulty: 190 digits.
Divisors found:

Mon Mar  8 17:04:12 2010  prp66 factor: 105710148846282991542608082617522973546816077322784817129533877099
Mon Mar  8 17:04:12 2010  prp119 factor: 62663321969160839400808382294200257921242353637900485340116149982481672614546371773077049279217999555555831187502342753
Mon Mar  8 17:04:12 2010  elapsed time 05:48:57 (Msieve 1.42 - dependency 10)

Version: 
Total time: 12.88 hours.
Scaled time: 10.85 units (timescale=0.842).
Factorization parameters were as follows:
name: KA_1_5_188_7
n: 6624149092562547344922755324278121523800331112823926805045141210298280702103025390836625298855583613558497624059666549797750533598867081243769159759808353903682033273100891941675313547
m: 20000000000000000000000000000000000000
deg: 5
c5: 4375
c0: 13
skew: 0.31
type: snfs
lss: 1
rlim: 10300000
alim: 10300000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 10300000/10300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 8036983)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4689010 hash collisions in 34289489 relations
Msieve: matrix is 1290370 x 1290595 (344.0 MB)

Total sieving time: 12.88 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,10300000,10300000,28,28,56,56,2.5,2.5,100000
total time: 12.88 hours.
 --------- CPU info (if available) ----------

11137953610474541003065015407499557479845956746522819507268034802236041148175998758210637805646048160131907803817226362528280451209076449055368708982083487098092991761<167>

472171130105481027123885725381926900601636059<45>
23588806897165376084990650944423415647030471424962249054591324917780051132576647070755460321321638426142886087380507310979<122>

11137953610474541003065015407499557479845956746522819507268034802236041148175998758210637805646048160131907803817226362528280451209076449055368708982083487098092991761=472171130105481027123885725381926900601636059*23588806897165376084990650944423415647030471424962249054591324917780051132576647070755460321321638426142886087380507310979

cado polynomial
n: 11137953610474541003065015407499557479845956746522819507268034802236041148175998758210637805646048160131907803817226362528280451209076449055368708982083487098092991761
skew: 0.99
type: snfs
c0: 13
c5: 14
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 14*x^5+13
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 10700000
tasks.lim1 = 10700000
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.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 472171130105481027123885725381926900601636059 23588806897165376084990650944423415647030471424962249054591324917780051132576647070755460321321638426142886087380507310979
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: 4.66/2.59611
Info:Generate Free Relations: Total cpu/real time for freerel: 101.78/28.2806
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25869109
Info:Lattice Sieving: Average J: 1893.8 for 2304967 special-q, max bucket fill -bkmult 1.0,1s:1.084680
Info:Lattice Sieving: Total time: 540754s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 50.92/106.685
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 106.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 420.86/386.337
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 333.8s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 338.04/347.014
Info:Filtering - Merging: Merged matrix has 2080179 rows and total weight 356839566 (171.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 303.85/86.9993
Info:Filtering - Merging: Total cpu/real time for replay: 80.14/68.6975
Info:Linear Algebra: Total cpu/real time for bwc: 73792.1/18891.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 12044.33, iteration CPU time 0.18, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (65024 iterations)
Info:Linear Algebra: Lingen CPU time 426.64, WCT time 123.35
Info:Linear Algebra: Mksol: WCT time 6601.39, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (32512 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 74.13/30.9276
Info:Square Root: Total cpu/real time for sqrt: 963.66/298.549
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.07499e+06/290703
Info:root: Cleaning up computation data in /tmp/cado.ns66sfrn
472171130105481027123885725381926900601636059 23588806897165376084990650944423415647030471424962249054591324917780051132576647070755460321321638426142886087380507310979

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)

343437737669646896697828980419461605905539461817855686137942797648226684999373103472418012396777641457527189904363138503803192710053205129007111933202930024340168406657167669468063761571<186>

44851024264034258994555508889744476033097742607903795501<56>
7657299767511605235227630895303349401253215897928555719172704999105481741520751944617843222134669214325704223300730764778608781071<130>

Number: n
N=343437737669646896697828980419461605905539461817855686137942797648226684999373103472418012396777641457527189904363138503803192710053205129007111933202930024340168406657167669468063761571
  ( 186 digits)
SNFS difficulty: 193 digits.
Divisors found:

Wed Feb 24 04:46:28 2010  prp56 factor: 44851024264034258994555508889744476033097742607903795501
Wed Feb 24 04:46:28 2010  prp130 factor: 7657299767511605235227630895303349401253215897928555719172704999105481741520751944617843222134669214325704223300730764778608781071
Wed Feb 24 04:46:28 2010  elapsed time 06:00:29 (Msieve 1.42 - dependency 1)

Version: 
Total time: 19.81 hours.
Scaled time: 16.68 units (timescale=0.842).
Factorization parameters were as follows:
name: KA_1_5_191_7
n: 343437737669646896697828980419461605905539461817855686137942797648226684999373103472418012396777641457527189904363138503803192710053205129007111933202930024340168406657167669468063761571
m: 100000000000000000000000000000000000000
deg: 5
c5: 1400
c0: 13
skew: 0.39
type: snfs
lss: 1
rlim: 11600000
alim: 11600000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 11600000/11600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 10684451)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4709040 hash collisions in 33474267 relations
Msieve: matrix is 1517675 x 1517900 (405.2 MB)

Total sieving time: 19.81 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,11600000,11600000,28,28,56,56,2.5,2.5,100000
total time: 19.81 hours.
 --------- CPU info (if available) ----------

940637827068558112147224118859630293730807540537978020880993494962076295029334892220785966526001997456523104536692608911467633679935902727855946565987179652623533<162>

2050741337211524408994818441650235453170591883889672481246076486273<67>
458681848363958591846235773019949008982818171147920437209919857102051003531219164152657492376621<96>

940637827068558112147224118859630293730807540537978020880993494962076295029334892220785966526001997456523104536692608911467633679935902727855946565987179652623533=2050741337211524408994818441650235453170591883889672481246076486273*458681848363958591846235773019949008982818171147920437209919857102051003531219164152657492376621

cado polynomial
n: 940637827068558112147224118859630293730807540537978020880993494962076295029334892220785966526001997456523104536692608911467633679935902727855946565987179652623533
skew: 1.56
type: snfs
c0: 65
c5: 7
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 7*x^5+65
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 12900000
tasks.lim1 = 12900000
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: 2050741337211524408994818441650235453170591883889672481246076486273 458681848363958591846235773019949008982818171147920437209919857102051003531219164152657492376621
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: 5.41/2.23692
Info:Generate Free Relations: Total cpu/real time for freerel: 101.86/26.2563
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 29176201
Info:Lattice Sieving: Average J: 1893.57 for 3334516 special-q, max bucket fill -bkmult 1.0,1s:1.142900
Info:Lattice Sieving: Total time: 976416s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 55.12/142.317
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 141.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 483.13/487.75
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 428.6s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 420.41/489.218
Info:Filtering - Merging: Merged matrix has 2565804 rows and total weight 436369889 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 360.95/104.155
Info:Filtering - Merging: Total cpu/real time for replay: 98.79/87.1021
Info:Linear Algebra: Total cpu/real time for bwc: 115117/29433
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 18782.1, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (80384 iterations)
Info:Linear Algebra: Lingen CPU time 521.55, WCT time 151.05
Info:Linear Algebra: Mksol: WCT time 10238.81, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (40448 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 88.76/37.9477
Info:Square Root: Total cpu/real time for sqrt: 646.01/204.138
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.91831e+06/85482.6
Info:root: Cleaning up computation data in /tmp/cado.ffdm8jfr
2050741337211524408994818441650235453170591883889672481246076486273 458681848363958591846235773019949008982818171147920437209919857102051003531219164152657492376621

cado-nfs-3.0.0

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

518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518519<195>

1415892518921261163610086153683<31>

366213191742524998189471571564403867788336481566277323078309497974979063250048045513244983636839391531554468834937850896594871724072212797942208215172448975244422093<165>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1098833014
Step 1 took 35065ms
Step 2 took 20938ms
********** Factor found in step 2: 1415892518921261163610086153683
Found probable prime factor of 31 digits: 1415892518921261163610086153683
Composite cofactor 366213191742524998189471571564403867788336481566277323078309497974979063250048045513244983636839391531554468834937850896594871724072212797942208215172448975244422093 has 165 digits

GMP-ECM 6.2.1

366213191742524998189471571564403867788336481566277323078309497974979063250048045513244983636839391531554468834937850896594871724072212797942208215172448975244422093<165>

16541067202193262853008852937947506092219423<44>
22139635083156361216065500157268322283989851458724408711577817520514902107946694438065153923097163692993927491649163590291<122>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=853391245
Step 1 took 298618ms
Step 2 took 84567ms
********** Factor found in step 2: 16541067202193262853008852937947506092219423
Found probable prime factor of 44 digits: 16541067202193262853008852937947506092219423

590543817712348112302936844509957175141184634621005589949701924621563817262198966642041843638038972032535835800363272506848475395656543811076717263617266673430675140738809679<174>

12067089932842928204733769459216507<35>
48938378763969302333765268308937060114623261207425553628697627476867549510106768818919364219953602463920649900990857852261828727075044865597<140>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3530848244
Step 1 took 9828ms
Step 2 took 6380ms
********** Factor found in step 2: 12067089932842928204733769459216507
Found probable prime factor of 35 digits: 12067089932842928204733769459216507
Probable prime cofactor 48938378763969302333765268308937060114623261207425553628697627476867549510106768818919364219953602463920649900990857852261828727075044865597 has 140 digits

GMP-ECM 6.3

15833634543654902056898876964954050007001154381399209795046832292036249963756894037788166203008293177682251678772756768018957851381487977843269193528894867139313693<164>

6459280719655949148659797177<28>
3406177645914414016513634539813<31>
29650943696340059768408884079497<32>
24271166126560128989106147319544463210746453787159176905895443038471222169<74>

# 3 ECM factors! Yes, 3!
#
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3727128160
Step 1 took 19634ms
********** Factor found in step 1: 6459280719655949148659797177
Found probable prime factor of 28 digits: 6459280719655949148659797177
#
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=520959377
Step 1 took 24794ms
Step 2 took 16513ms
********** Factor found in step 2: 3406177645914414016513634539813
Found probable prime factor of 31 digits: 3406177645914414016513634539813
#
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=249960142
Step 1 took 24944ms
Step 2 took 16634ms
********** Factor found in step 2: 29650943696340059768408884079497
Found probable prime factor of 32 digits: 29650943696340059768408884079497

GMP-ECM 6.2.1

74381790330853158284266246097983203224137906126624727251601665950802340768012609086139806728150720273767248620178612279787173371641859798606020557486863426564671821024434179837<176>

2281292512311534714542193297864414871927993<43>

32605108695809165507882118236619189142613162120898961964006905239397613089359622687148682514425367428535520621972714960466932324510309<134>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=705936339
Step 1 took 117531ms
Step 2 took 37343ms
********** Factor found in step 2: 2281292512311534714542193297864414871927993
Found probable prime factor of 43 digits: 2281292512311534714542193297864414871927993

32605108695809165507882118236619189142613162120898961964006905239397613089359622687148682514425367428535520621972714960466932324510309<134>

14136982836133014950004012162185893763846846563249728221<56>
2306369688196343783062927420313279500661347812226365824294638753887511921733929<79>

Number: 15557_202
N = 32605108695809165507882118236619189142613162120898961964006905239397613089359622687148682514425367428535520621972714960466932324510309 (134 digits)
Divisors found:
r1=14136982836133014950004012162185893763846846563249728221 (pp56)
r2=2306369688196343783062927420313279500661347812226365824294638753887511921733929 (pp79)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 157.41 hours.
Factorization parameters were as follows:
# Murphy_E = 5.353e-11, selected by Dmitry Domanov
n: 32605108695809165507882118236619189142613162120898961964006905239397613089359622687148682514425367428535520621972714960466932324510309
Y0: -84518671447223434427974064
Y1: 34951481212427
c0: -398813844860344425376610281704945
c1: 5700141542319621738170839847
c2: -10874991041696271630865
c3: -8027151968752671
c4: 23074352946
c5: 7560
skew: 812778.81
type: gnfs
# selected mechanically
rlim: 13000000
alim: 13000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 13000000/13000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [6500000, 13700000)
Relations: 20175667
Relations in full relation-set: 3088150 relations
Pruned matrix : 1846370 x 1846603
Polynomial selection time: 0.00 hours.
Total sieving time: 154.11 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 2.95 hours.
time per square root: 0.26 hours.
Prototype def-par.txt line would be: gnfs,133,5,65,2000,1e-05,0.28,250,20,50000,3600,13000000,13000000,28,28,54,54,2.6,2.6,100000
total time: 157.41 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

37798083072873374476574482510804703229491225293418012919664963067431096221913373434820901017815987432735700640180125920980309762581059<134>

5609099213918896291046736768338463947<37>
6738708236623448092233825183627474263971053097354122717223268556341812981627235806120298748430697<97>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4205499862
Step 1 took 17634ms
Step 2 took 7637ms
********** Factor found in step 2: 5609099213918896291046736768338463947
Found probable prime factor of 37 digits: 5609099213918896291046736768338463947

30378795121825043902155189837768693694153410408138629068331740879423639274423018633605453556097089571723304506124813516145260360479988482629216985242776231519397<161>

19799203807970274226989108845852015550302376743614886128493961860324902381<74>
1534344280530912017164625311379048455337258761391499857880238043379204285075658377757337<88>

Number: n
N=30378795121825043902155189837768693694153410408138629068331740879423639274423018633605453556097089571723304506124813516145260360479988482629216985242776231519397  ( 161 digits)
SNFS difficulty: 205 digits.
Divisors found:

Sun Nov 26 23:22:46 2023  prp74 factor: 19799203807970274226989108845852015550302376743614886128493961860324902381
Sun Nov 26 23:22:46 2023  prp88 factor: 1534344280530912017164625311379048455337258761391499857880238043379204285075658377757337
Sun Nov 26 23:22:46 2023  elapsed time 03:11:44 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.097).
Factorization parameters were as follows:
#
# N = 14x10^204+13 = 15(203)7
#
n: 30378795121825043902155189837768693694153410408138629068331740879423639274423018633605453556097089571723304506124813516145260360479988482629216985242776231519397
m: 100000000000000000000000000000000000000000
deg: 5
c5: 7
c0: 65
skew: 1.56
# Murphy_E = 9.108e-12
type: snfs
lss: 1
rlim: 18900000
alim: 18900000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18900000/18900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 49450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3670520 hash collisions in 20055945 relations (16751705 unique)
Msieve: matrix is 2396634 x 2396859 (671.5 MB)

Sieving start time: 2023/11/25 22:54:29
Sieving end time  : 2023/11/26 20:10:35

Total sieving time: 21hrs 16min 6secs.

Total relation processing time: 3hrs 1min 10sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 58sec.

Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,18900000,18900000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

19830333397452265713782953496043448497447893547753463765059043477434462102342838724938082577832949612447498895975915792167526517753878723223194749<146>

659643945049464003585278859715626173487227275593366361<54>
30062177552414689496693589204535130022245179677520584954941720053509239267246677773610797509<92>

Number: 15557_206
N = 19830333397452265713782953496043448497447893547753463765059043477434462102342838724938082577832949612447498895975915792167526517753878723223194749 (146 digits)
Divisors found:
r1=659643945049464003585278859715626173487227275593366361 (pp54)
r2=30062177552414689496693589204535130022245179677520584954941720053509239267246677773610797509 (pp92)
Version: Msieve v. 1.54 (SVN 1018)
Total time: 177.20 hours.
Factorization parameters were as follows:
n: 19830333397452265713782953496043448497447893547753463765059043477434462102342838724938082577832949612447498895975915792167526517753878723223194749
# norm 3.954575e-014 alpha -6.408038 e 8.569e-012 rroots 3
skew: 6856414.04
c0: -8770446659045058100182444860324493808
c1: -793513572182401239346211377764
c2: 1903826647088886000940296
c3: -98805377903116965
c4: -56997065330
c5: 336
Y0: -35826061888503947671349171661
Y1: 2246939885199739
type: gnfs
Factor base limits: 16800000/16800000
Large primes per side: 3
Large prime bits: 29/29
Sieved algebraic special-q in [0, 0)
Total raw relations: 41794641
Relations: 6136308 relations
Pruned matrix : 3593535 x 3593767
Polynomial selection time: 0.70 hours.
Total sieving time: 163.85 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 11.46 hours.
time per square root: 0.92 hours.
Prototype def-par.txt line would be: gnfs,145,5,65,2000,1e-05,0.28,250,20,50000,3600,16800000,16800000,29,29,58,58,2.6,2.6,100000
total time: 177.20 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
processors: 8, speed: 3.39GHz
Windows-7-6.1.7601-SP1
Running Python 3.2

232172470978441127694859038142620232172470978441127694859038142620232172470978441127694859038142620232172470978441127694859038142620232172470978441127694859038142620232172470978441127694859038142620232172471<207>

4498987468704550647009499841441782901487270608225099445433303098846094780326640549<82>
51605494034704086773745018429506653302640129674354922063333328859156774138582544795548691055736944528503788261500423895175979<125>

Number: n
N=232172470978441127694859038142620232172470978441127694859038142620232172470978441127694859038142620232172470978441127694859038142620232172470978441127694859038142620232172470978441127694859038142620232172471
  ( 207 digits)
SNFS difficulty: 209 digits.
Divisors found:

Sun Aug 19 19:31:57 2012  prp82 factor: 4498987468704550647009499841441782901487270608225099445433303098846094780326640549
Sun Aug 19 19:31:57 2012  prp125 factor: 51605494034704086773745018429506653302640129674354922063333328859156774138582544795548691055736944528503788261500423895175979
Sun Aug 19 19:31:57 2012  elapsed time 15:26:44 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.100).
Factorization parameters were as follows:
name: KA_15557_208
n: 232172470978441127694859038142620232172470978441127694859038142620232172470978441127694859038142620232172470978441127694859038142620232172470978441127694859038142620232172470978441127694859038142620232172471
m: 100000000000000000000000000000000000000000
#  c207, diff: 209.15
skew: 0.247
deg: 5
c5: 14000
c0: 13
# Murphy_E = 5.656e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 40900000)
Primes: RFBsize:1329943, AFBsize:1328597, 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9529762 hash collisions in 59492588 relations (51857556 unique)
Msieve: matrix is 3081544 x 3081769 (875.1 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,209,5,0,0,0,0,0,0,0,0,21000000,21000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5662.11 BogoMIPS (lpj=2831056)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830449)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830455)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
Total of 4 processors activated (22644.83 BogoMIPS).

514190469070987722233323967567220812627163360498227800696685165981546292646439509873011690195057174730382944199888148559647852724699217543144036050824402080106059693715798954563<177>

8874947224324351136035536806270113298602229617<46>
57937298788853698489591033962575292588852036859175674643661777742007373999772662964044012670257131669949833853614208336673948023539<131>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=229920815
Step 1 took 119771ms
Step 2 took 37095ms
********** Factor found in step 2: 8874947224324351136035536806270113298602229617
Found probable prime factor of 46 digits: 8874947224324351136035536806270113298602229617

13722263454623063242294612800823571377088453676130564091436636777816721013924338589124058002602043054454502213809505992596499956155980595602780015094555965697486530508707346763633587082553<188>

2751061953690129421526482940965963<34>
4987987797300145391950287210866088895543260399359356266186465996629190018447691667423576167331615395749715845717963735456783153353955363186301079612817931<154>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2006770016
Step 1 took 12933ms
Step 2 took 8034ms
********** Factor found in step 2: 2751061953690129421526482940965963
Found probable prime factor of 34 digits: 2751061953690129421526482940965963
Probable prime cofactor 4987987797300145391950287210866088895543260399359356266186465996629190018447691667423576167331615395749715845717963735456783153353955363186301079612817931 has 154 digits

GMP-ECM 6.3

510744015513254421222377931295366037369631294672464155688616038163242752360646523322599233014929785488083616799747832966065893590215183776933078071181257478640829377237049883113311<180>

13142328637299267548282307859577891<35>
38862520456512620839074088636939215726311738013360097678130808520402808803058042633631995353734929407060495995747839511309733734468837626731273621<146>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1347277505
Step 1 took 30721ms
Step 2 took 10868ms
********** Factor found in step 2: 13142328637299267548282307859577891
Found probable prime factor of 35 digits: 13142328637299267548282307859577891

798235497438721294277050600477682470184252344510265037819869618618713767643556095119339673541994425591111297099373673179769215723181497259145545663493204956708565609107<168>

4422507192913062811647783257701<31>
180493883360522309276250252977161145948817629275431493754758113956253495734889717245986171065623660762434415974654618606859398292290765207<138>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=2453354840
Step 1 took 8320ms
Step 2 took 5581ms
********** Factor found in step 2: 4422507192913062811647783257701
Found probable prime factor of 31 digits: 4422507192913062811647783257701
Probable prime cofactor 180493883360522309276250252977161145948817629275431493754758113956253495734889717245986171065623660762434415974654618606859398292290765207 has 138 digits

30675139807554618207222419812438763965476352880413706777681233651667771535976002666291834520444547211253478055421485143660219411329634599748510141557251888793259619410659951<173>

20111196350183196126326305729395168977871791458269391203791901246399966576294487166536259071139342083393337871783878563594868417567431714860195054894692149705085008889474497989193378406433341<191>

677526664700784013283954500807917016787973599869973352722213717623039366380420374308732071512239963533613804770491469893053583662260185885301792134881845227259028511725663784671852780329596773282727<198>

70572019012865421718639752633437<32>

9600499945697593443837520311451817168586700453904733445053412903621306227460446187266054437465043242657153966204029336032761519266560572819203975645261881657175945171<166>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=1939683690
Step 1 took 11273ms
Step 2 took 6745ms
********** Factor found in step 2: 70572019012865421718639752633437
Found probable prime factor of 32 digits: 70572019012865421718639752633437
Composite cofactor 9600499945697593443837520311451817168586700453904733445053412903621306227460446187266054437465043242657153966204029336032761519266560572819203975645261881657175945171 has 166 digits

9600499945697593443837520311451817168586700453904733445053412903621306227460446187266054437465043242657153966204029336032761519266560572819203975645261881657175945171<166>

497649238288206356713622072636966743913<39>

19291700272105315257416019232425337113657120139575491851353950847425128124690423988708785368670881837750619242033041455115631067<128>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1848107125
Step 1 took 219266ms
Step 2 took 68863ms
********** Factor found in step 2: 497649238288206356713622072636966743913
Found probable prime factor of 39 digits: 497649238288206356713622072636966743913

19291700272105315257416019232425337113657120139575491851353950847425128124690423988708785368670881837750619242033041455115631067<128>

13751164162687894646308626745717506767398207157<47>
1402913967418917811476342293593701261273012234730391946886198260360783462931095631<82>

N = 19291700272105315257416019232425337113657120139575491851353950847425128124690423988708785368670881837750619242033041455115631067 (128 digits)
Divisors found:
r1=13751164162687894646308626745717506767398207157 (pp47)
r2=1402913967418917811476342293593701261273012234730391946886198260360783462931095631 (pp82)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 21.97 hours.
Factorization parameters were as follows:
n: 19291700272105315257416019232425337113657120139575491851353950847425128124690423988708785368670881837750619242033041455115631067
Y0: -5170587357710862600559999
Y1: 40724706451631
c0: 1406384957458679928264067095332640
c1: 9684396565694740931111492364
c2: 1657786146596680839024
c3: -20011141995546785
c4: 920224262
c5: 5220
skew: 1085411.60
type: gnfs
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19499142
Relations: 2171950 relations
Pruned matrix : 1227484 x 1227714
Polynomial selection time: 0.00 hours.
Total sieving time: 20.18 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.50 hours.
time per square root: 0.19 hours.
Prototype def-par.txt line would be: gnfs,127,5,65,2000,1e-05,0.28,250,20,50000,3600,6400000,6400000,28,28,55,55,2.5,2.5,100000
total time: 21.97 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

5924638740502530798547258909625572722375731397536081431844614521123305417410401747928108748864514873474139849945256244673786316845699157147162102925938793372877186920361111652672604175695380378951<196>

172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506173<219>

302642694922694637791111681256935366882674831862219326103<57>
571100869350204093760690436774488694718731756816457372512105888477669461936707218006470818698374521599522780361019693633343881663791782345515722431758646341623691<162>

Number: n
N=172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506173
  ( 219 digits)
SNFS difficulty: 220 digits.
Divisors found:

Sat Dec  2 15:31:51 2017  p57 factor: 302642694922694637791111681256935366882674831862219326103
Sat Dec  2 15:31:51 2017  p162 factor: 571100869350204093760690436774488694718731756816457372512105888477669461936707218006470818698374521599522780361019693633343881663791782345515722431758646341623691
Sat Dec  2 15:31:51 2017  elapsed time 12:29:15 (Msieve 1.53 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.011).
Factorization parameters were as follows:
#
# 14x10^219+13 15(218)7
#
n: 172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506172839506173
m: 1000000000000000000000000000000000000
deg: 6
c6: 14000
c0: 13
skew: 0.31
# Murphy_E = 1.796e-12
type: snfs
lss: 1
rlim: 33000000
alim: 33000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 33000000/33000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 103700000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 15316195 hash collisions in 70238404 relations (55986096 unique)
Msieve: matrix is 5012662 x 5012887 (1420.9 MB)

Sieving start time: 2017/11/29 04:00:54
Sieving end time  : 2017/12/02 02:48:42

Total sieving time: -650hrs 47min 48secs.

Total relation processing time: 11hrs 54min 20sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 11min 33sec.

Prototype def-par.txt line would be:
snfs,220,6,0,0,0,0,0,0,0,0,33000000,33000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.068000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16297376K/16703460K available (9294K kernel code, 2479K rwdata, 3996K rodata, 2324K init, 2384K bss, 406084K reserved, 0K cma-reserved)
[    0.100632] x86/mm: Memory block size: 128MB
[    0.008000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.77 BogoMIPS (lpj=11977548)
[    0.098232] smpboot: Total of 16 processors activated (95820.38 BogoMIPS)

473554579125850600942949623454324652977317169699509494976132000076037700906252249886673634530449145178157514508560319002414291498625448409050318907435934078708447809329267734056983102156348011<192>

64096208961914294596747306222131690853<38>
7388183900349469910719899071138209866400360992854440103647694325661623959520041542699883527132710044528434071612048343367394053110444658157366909082444687<154>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2357190465
Step 1 took 117873ms
Step 2 took 38391ms
********** Factor found in step 2: 64096208961914294596747306222131690853
Found probable prime factor of 38 digits: 64096208961914294596747306222131690853

82031485290293260338008759963611020357230508720276144807420229355856059310077260744611600435412260626373221845600448616310124767536563287525235062855229078976851466385032608759<176>

372148555885527639885954415369878443901668529398164466902063671722752891448017060607801<87>
220426719365064598385608407872882714006443333659828668092322059638928824726223923458448559<90>

Number: 15557_221
N = 82031485290293260338008759963611020357230508720276144807420229355856059310077260744611600435412260626373221845600448616310124767536563287525235062855229078976851466385032608759 (176 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=372148555885527639885954415369878443901668529398164466902063671722752891448017060607801 (pp87)
r2=220426719365064598385608407872882714006443333659828668092322059638928824726223923458448559 (pp90)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 66.78 hours.
Factorization parameters were as follows:
n: 82031485290293260338008759963611020357230508720276144807420229355856059310077260744611600435412260626373221845600448616310124767536563287525235062855229078976851466385032608759
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 140
c0: 13
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 36036919
Relations: 7455204 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 30.36 hours.
Total relation processing time: 0.44 hours.
Pruned matrix : 6820487 x 6820712
Matrix solve time: 34.57 hours.
time per square root: 1.41 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: 66.78 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

115178840367680716987503457806358343552057137152986974478293262841552701475813073162589865230231134542736681073333233381670212870354164435695532580128556601698764646117<168>

1906953956699811868356365186755853376551820270985548224138499624427197521<73>
60399381937364675765850839472181182104815670328753241821264286450839613843719090789978902997077<95>

Number: 15557_222
N = 115178840367680716987503457806358343552057137152986974478293262841552701475813073162589865230231134542736681073333233381670212870354164435695532580128556601698764646117 (168 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=1906953956699811868356365186755853376551820270985548224138499624427197521 (pp73)
r2=60399381937364675765850839472181182104815670328753241821264286450839613843719090789978902997077 (pp95)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 69.75 hours.
Factorization parameters were as follows:
n: 115178840367680716987503457806358343552057137152986974478293262841552701475813073162589865230231134542736681073333233381670212870354164435695532580128556601698764646117
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1400
c0: 13
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 36239106
Relations: 8314962 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 34.12 hours.
Total relation processing time: 0.41 hours.
Pruned matrix : 7314901 x 7315127
Matrix solve time: 34.71 hours.
time per square root: 0.51 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 69.75 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

335272045512863009017322642692712959446046550099714384636839741892205931214878650470003981213534631784917522426476516526596412390953332390156643072276623782764305151060163764031403402747929519050571673307<204>

3261599536185044802230446656246543843221<40>

102793749445100963486501995011221828136001980826322058578845227046853982806743728315208354984370406333811623661911742182249132913167865923771867502862937543853627567<165>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2859367697
Step 1 took 392221ms
Step 2 took 104173ms
********** Factor found in step 2: 3261599536185044802230446656246543843221
Found probable prime factor of 40 digits: 3261599536185044802230446656246543843221

1204278760691543774906972539232243382494230950821130197194256509313638998369905818155312159680256971445829828593278500517993038116334242179065739739740047739972983188494548307585056263440657020596359<199>

291434323396086044528576050780412849<36>
4132247522042275709880053066022385976389631242482005467968213001459444756377020306577497803899798522281971282598508630486935721354582729923895893712422986526487991<163>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1871083122
Step 1 took 37263ms
Step 2 took 12570ms
********** Factor found in step 2: 291434323396086044528576050780412849
Found probable prime factor of 36 digits: 291434323396086044528576050780412849

443141389347952283883101341834797957245255651526019746914072900341888863693611657593296855965757879826134649831970753613654865703599938136097544604948907083<156>

46477325953031648331371093188170484485495657436523108070862263973037387617062531783318067751041621246359338508670435347632917614537450318711500144826065771826795223922361158570336801<182>

48472992193461168176862975205792263984392437802534971844407001650104481446225117484845916879212742700753065311459022683997383958938937473561732046536892070063347630651735984281255003291911545446849080942365126697<212>

264834834155494973486938142179099124593507647729995428021410089538424601857336904585960872835397495113139965651562069079654945980053524955140737457460679774881468352589997911067166583563587<189>

948286528870394530153081580646668700971<39>
279277229078607769592408255582000195725196705035092623905979847570149044013076411445242519865604228519779492061085805499784112882808571323554033511497<150>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2487393583
Step 1 took 31491ms
Step 2 took 11666ms
********** Factor found in step 2: 948286528870394530153081580646668700971
Found probable prime factor of 39 digits: 948286528870394530153081580646668700971

461571380200631891219494665059079488196465879819340961789472677776689788095876288319903254638709947555600393918203616939274020751589866134408926526738005820415104329968148277827726394992346157434744521889528165250466764058227889<228>

275502275746311715439415649987577874204035660074760333177101446763587370963757595173128685634734251998448971278555014946183672411170169093056231002031651210677181239864153172593857129895349<189>

445962720649918308996652602764596088027<39>

617769743948130570428289536570740010924220474494166390470661638638754039155830931831289590090942020200247815511240986032656670499494067940861368231087<150>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2189640012
Step 1 took 31901ms
Step 2 took 11694ms
********** Factor found in step 2: 445962720649918308996652602764596088027
Found probable prime factor of 39 digits: 445962720649918308996652602764596088027

617769743948130570428289536570740010924220474494166390470661638638754039155830931831289590090942020200247815511240986032656670499494067940861368231087<150>

4345541577690487077017722784802293809200050025223607658436129<61>
142161738163935585186949600239924068159021756889140718206017069284694021992441395195396303<90>

142161738163935585186949600239924068159021756889140718206017069284694021992441395195396303
4345541577690487077017722784802293809200050025223607658436129

cado-nfs

4x Xeon E7-8890v4, 1024GB DDR4, Ubuntu Server 24.04

54655565849161739038812881336508646494473280106801165868911454912755073173847028212901048086963814228337630267566714944056424207220475973846972051880532661533002542034023961711233<179>

676418962881277533226124487522477698323359316602912287187630114398662588904341271515231745783170726102322651587806845561932141515038544064112158515851580873510442794834662256722849414099650338528113006230410973263355851629<222>

7109638527255154805136724397602613933586072990055481465855136251863987611112606278715862326972783319875235439378647206557295070644984846293858705568864115329261200028772956953822964125636961459619059<199>

5697166345020839424725205320097398557659640757335348654796386595851286854601184968329629502365821289581439947837813462571844947506372138013189706952139805921533419869010908938313644005242595173374736272833201<208>

218666314179670675789486812844162692363748295934637068530620441843293608139286682867034714556455168927256115838910257192956613196248245243346801536658924133407915687833860686087721116655062353051953591562815066928018881151<222>

56757212851656157866576156586953802511763056497073998381041220087662633113512543466278928122234438071091268082591046363179263697950999263204275445418054785576538230469182267923508152526963495181749362050504624999<212>

1261306792493376024240535442382338825428175081911286375755011870756398901501747707175122193740510292515007899712509794118530068176284211984876075202766992323799864964586690868330219347184491843321777202571211905077005390091267684803<232>

4549817615862508225389966944046416987831709131213832254442019670409067246005692368313853828409522118811191716291747999453986515147999330521407923894363164857606600576203929443667103668426935621596962785413<205>

2311631713063145717929176805555361594344395459171820506633620327121616673673277973428847903301994507330991879652798973670766902731497514239089763715979213<154>

292017121443468338636123467620486404727441092370802496141348955596127122298233640191095839982781628504856080618996272887502856111412255768613660796147106684419641756851732949379372093338128741367330031030318783074749<216>

569024221277152979757425882640587549<36>

513189264225074884600778717006403693422869611694046109110001252495484516523589694028066509739957849540607719773733206986619939817446780341084654271987077737524465337531852385152801<180>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=1150170190
Step 1 took 14093ms
Step 2 took 7701ms
********** Factor found in step 2: 569024221277152979757425882640587549
Found probable prime factor of 36 digits: 569024221277152979757425882640587549
Composite cofactor 513189264225074884600778717006403693422869611694046109110001252495484516523589694028066509739957849540607719773733206986619939817446780341084654271987077737524465337531852385152801 has 180 digits

513189264225074884600778717006403693422869611694046109110001252495484516523589694028066509739957849540607719773733206986619939817446780341084654271987077737524465337531852385152801<180>

4507578098838329013878803439133934331<37>

113850332256546262025602326644379564731166775342505804322171657700124155693898624739265746017083239494735489206000236201172854212969891231636371<144>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1209189484
Step 1 took 32075ms
Step 2 took 11143ms
********** Factor found in step 2: 4507578098838329013878803439133934331
Found probable prime factor of 37 digits: 4507578098838329013878803439133934331

113850332256546262025602326644379564731166775342505804322171657700124155693898624739265746017083239494735489206000236201172854212969891231636371<144>

256691232833232627173944458475663051412602172310687010156326724360031<69>
443530271758492975938888640353624783778572165657165981763630332315831512141<75>

Number: 15557_244
N = 113850332256546262025602326644379564731166775342505804322171657700124155693898624739265746017083239494735489206000236201172854212969891231636371 (144 digits)
Divisors found:
r1=256691232833232627173944458475663051412602172310687010156326724360031 (pp69)
r2=443530271758492975938888640353624783778572165657165981763630332315831512141 (pp75)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 386.77 hours.
Factorization parameters were as follows:
# Murphy_E = 1.484e-11, selected by Rich Dickerson
# expecting poly E from 1.34e-11 to > 1.54e-11
n: 113850332256546262025602326644379564731166775342505804322171657700124155693898624739265746017083239494735489206000236201172854212969891231636371
Y0: -4086521231391509014852296173
Y1: 32569179098441
c0: 5238433937205561254254345807844400
c1: 30760987194036473527350096948
c2: -273350736866964060836036
c3: 103505129083898263
c4: 462841908900
c5: 99900
skew: 757344.71
type: gnfs
# selected mechanically
rlim: 22000000
alim: 22000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 22000000/22000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23459855
Relations: 4363638 relations
Pruned matrix : 2709751 x 2709978
Polynomial selection time: 0.00 hours.
Total sieving time: 378.31 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 7.42 hours.
time per square root: 0.79 hours.
Prototype def-par.txt line would be: gnfs,143,5,65,2000,1e-05,0.28,250,20,50000,3600,22000000,22000000,28,28,56,56,2.6,2.6,100000
total time: 386.77 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 8, speed: 3.50GHz

GGNFS, Msieve

20946238516597441416655174558382038897663653757036830819776155056815601726607011241358585090582315394089523725163554328797464188890633597183934627993497769565784038356306689189670122538594046445721663815907375935744519135761651<227>

446309524999435117326279120348132162519112509006539465622758641473193949876844186911089921964611597797151833269013312617136465814748452859039131537197792503165241384534654170182712278491014791783617452069812787182509712811<222>

999963572753495867431393515129188592261861332102439483679012182690887867102351292237023423117543286700339517540688101954095259468323030279685395786866822555163692706788632455965905373015987068588012528391838970941<213>

158540036171507869229120186578458300838368378772205135812393323475615725575541935042816839799822922739250273431223226856386588672457188764233049133576989555600273028953388222482733211422683118863<195>

1965172572316774019199356574088908116572936588585628864489339152978448811620028734907589546685868546681264742833726794124629962345139240440501916968366485454105951184640922795686162301790687027272404555265028829192644344785687408560258795651<241>

204158371404195516648959447978456192878476120632507827203910843355235721971332900720534162427521927879453911090613548169061689905018018926975693494149304982987773298529849444449381603081577453430165929271832963408381493843<222>

572899890734079620617120965417423522354714913253349861612434215862783487671159443760259695774779427246710982420356104923507747822535429466006355106524709030204805817019811491792154428767320499852828777684654840747380826301241369800103841531<240>

300800373100740957043399740612811426750648904324907695181287035299971163405550881222528924592169409372690438845338669677059800801101585471117248360425293991970637015814887461241454202277835546443099575505383393020652271552139593371<231>

535143658987062558423494717562897913<36>
562092754065526541555637571922563838624157693167612799394726469455185863087655605538499215912243100175583182189795373394523262299084879072826501973755818037800287848340940416007827470488947836467<195>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1032480881
Step 1 took 29334ms
Step 2 took 10312ms
********** Factor found in step 2: 535143658987062558423494717562897913
Found probable prime factor of 36 digits: 535143658987062558423494717562897913

227014509826413019551624615504911220560615567300641485203518669707493292244990750458227786099321933634489240413516613899702773179384664676947117774046788947995183472007951238590427159031952547798409997595447849472825141354039351572368292513558624507<249>

305895768254437503636890059703615596090858237<45>

742130272418764700478069252864200516828260927617167427144567986843247860720665697326254759491978144301026605588879444429865776027703039538217626382784828878135611774768088121206448511060027271680656314711<204>

GMP-ECM 7.0.4 [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 227014509826413019551624615504911220560615567300641485203518669707493292244990750458227786099321933634489240413516613899702773179384664676947117774046788947995183472007951238590427159031952547798409997595447849472825141354039351572368292513558624507 (249 digits)
Run 1726 out of 2100:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3348597440
Step 1 took 50118ms
Step 2 took 17790ms
********** Factor found in step 2: 305895768254437503636890059703615596090858237
Found prime factor of 45 digits: 305895768254437503636890059703615596090858237
Composite cofactor 742130272418764700478069252864200516828260927617167427144567986843247860720665697326254759491978144301026605588879444429865776027703039538217626382784828878135611774768088121206448511060027271680656314711 has 204 digits

GMP-ECM 7.0.4

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

6104311344295804463210841605765260451344060352454216574862184270846550257449330945675553235917244723149859535435745364756584044812621622953257107925532633866457724809796198845325907002560758608932089972316948053618526759338833317854543853154686301620127833<256>