988746036684509216134405657207346002014562016183139466236470434514002669418403739656765174448645339<99>

4969113507692915159830820858462998480110977<43>
198978356029457891142388803820629371983665753967882940507<57>

Number: n
N=988746036684509216134405657207346002014562016183139466236470434514002669418403739656765174448645339
  ( 99 digits)
SNFS difficulty: 108 digits.
Divisors found:
 r1=4969113507692915159830820858462998480110977 (pp43)
 r2=198978356029457891142388803820629371983665753967882940507 (pp57)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 0.88 hours.
Scaled time: 1.27 units (timescale=1.447).
Factorization parameters were as follows:
name: KA_3_5_106_1
n: 988746036684509216134405657207346002014562016183139466236470434514002669418403739656765174448645339
type: snfs
skew: 0.84
deg: 5
c5: 100
c0: -41
m: 2000000000000000000000
rlim: 450000
alim: 450000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 450000/450000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [100000, 160001)
Primes: RFBsize:37706, AFBsize:37550, largePrimes:3672853 encountered
Relations: rels:3166359, finalFF:149304
Max relations in full relation-set: 28
Initial matrix: 75320 x 149304 with sparse part having weight 10857343.
Pruned matrix : 56531 x 56971 with weight 2447010.
Total sieving time: 0.79 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.02 hours.
Total square root time: 0.01 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,108,5,0,0,0,0,0,0,0,0,450000,450000,28,28,56,56,2.5,2.5,50000
total time: 0.88 hours.
 --------- CPU info (if available) ----------

76364585248269496393816506554713280356615130143710070231171455531033722911050513054523245829788744839<101>

250725206151227572491375889110383529086023607868659<51>
304574822852910071162849414423941486520137105717021<51>

Number: 35551_111
N=76364585248269496393816506554713280356615130143710070231171455531033722911050513054523245829788744839
  ( 101 digits)
SNFS difficulty: 112 digits.
Divisors found:
 r1=250725206151227572491375889110383529086023607868659 (pp51)
 r2=304574822852910071162849414423941486520137105717021 (pp51)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 1.54 hours.
Scaled time: 0.73 units (timescale=0.473).
Factorization parameters were as follows:
name: 35551_111
n: 76364585248269496393816506554713280356615130143710070231171455531033722911050513054523245829788744839
m: 20000000000000000000000
deg: 5
c5: 10
c0: -41
skew: 1.33
type: snfs
lss: 1
rlim: 530000
alim: 530000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 530000/530000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [265000, 415001)
Primes: RFBsize:43825, AFBsize:43507, largePrimes:1230717 encountered
Relations: rels:1219885, finalFF:156266
Max relations in full relation-set: 28
Initial matrix: 87398 x 156266 with sparse part having weight 7026889.
Pruned matrix : 64055 x 64555 with weight 2168146.
Total sieving time: 1.46 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,112,5,0,0,0,0,0,0,0,0,530000,530000,25,25,45,45,2.2,2.2,50000
total time: 1.54 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

22881765858560605328444758333732016135351937111017680153991433819602314108836986599559243845282539971<101>

1874364695456994437787812330948654894281<40>
12207744796954647002836007977637501893348342131034571999208491<62>

Number: 35551_115
N=22881765858560605328444758333732016135351937111017680153991433819602314108836986599559243845282539971
  ( 101 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=1874364695456994437787812330948654894281 (pp40)
 r2=12207744796954647002836007977637501893348342131034571999208491 (pp62)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 1.63 hours.
Scaled time: 0.77 units (timescale=0.473).
Factorization parameters were as follows:
name: 35551_115
n: 22881765858560605328444758333732016135351937111017680153991433819602314108836986599559243845282539971
m: 200000000000000000000000
deg: 5
c5: 1
c0: -41
skew: 2.10
type: snfs
lss: 1
rlim: 610000
alim: 610000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 610000/610000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [305000, 455001)
Primes: RFBsize:49861, AFBsize:49970, largePrimes:1339209 encountered
Relations: rels:1376013, finalFF:204044
Max relations in full relation-set: 28
Initial matrix: 99895 x 204044 with sparse part having weight 8657884.
Pruned matrix : 64281 x 64844 with weight 2194412.
Total sieving time: 1.55 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,116,5,0,0,0,0,0,0,0,0,610000,610000,25,25,45,45,2.2,2.2,50000
total time: 1.63 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

182067513124538441101462579812715985235713896251223737793957929646967334531924025154370350419725671352439<105>

5146035129801747950200491709940393<34>
35380153561359894771496352426470646393927511422671498242115915382113823<71>

Number: 35551_119
N=182067513124538441101462579812715985235713896251223737793957929646967334531924025154370350419725671352439
  ( 105 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=5146035129801747950200491709940393 (pp34)
 r2=35380153561359894771496352426470646393927511422671498242115915382113823 (pp71)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 2.15 hours.
Scaled time: 1.02 units (timescale=0.473).
Factorization parameters were as follows:
name: 35551_119
n: 182067513124538441101462579812715985235713896251223737793957929646967334531924025154370350419725671352439
m: 1000000000000000000000000
deg: 5
c5: 16
c0: -205
skew: 1.67
type: snfs
lss: 1
rlim: 730000
alim: 730000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 730000/730000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [365000, 565001)
Primes: RFBsize:58789, AFBsize:58897, largePrimes:1264545 encountered
Relations: rels:1228338, finalFF:140700
Max relations in full relation-set: 28
Initial matrix: 117750 x 140700 with sparse part having weight 5817576.
Pruned matrix : 103103 x 103755 with weight 3356003.
Total sieving time: 2.00 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,121,5,0,0,0,0,0,0,0,0,730000,730000,25,25,46,46,2.2,2.2,50000
total time: 2.15 hours.
 --------- CPU info (if available) ----------

Pentium 4  2.4GHz, Windows XP and Cygwin)

18930534916760935971590741741646619489241142175356386448608577960372293068418528062763830015741<95>

7302277230608177321336738676050278849209010349<46>
2592415258819787071229728638616500578052858667409<49>

Fri Nov 21 23:38:37 2008  Msieve v. 1.38
Fri Nov 21 23:38:37 2008  random seeds: 0d4af2ec 94d26f7d
Fri Nov 21 23:38:37 2008  factoring 18930534916760935971590741741646619489241142175356386448608577960372293068418528062763830015741 (95 digits)
Fri Nov 21 23:38:37 2008  searching for 15-digit factors
Fri Nov 21 23:38:39 2008  commencing quadratic sieve (95-digit input)
Fri Nov 21 23:38:39 2008  using multiplier of 1
Fri Nov 21 23:38:39 2008  using 32kb Intel Core sieve core
Fri Nov 21 23:38:39 2008  sieve interval: 36 blocks of size 32768
Fri Nov 21 23:38:39 2008  processing polynomials in batches of 6
Fri Nov 21 23:38:39 2008  using a sieve bound of 2125181 (78824 primes)
Fri Nov 21 23:38:39 2008  using large prime bound of 310276426 (28 bits)
Fri Nov 21 23:38:39 2008  using double large prime bound of 1928180890905122 (43-51 bits)
Fri Nov 21 23:38:39 2008  using trial factoring cutoff of 51 bits
Fri Nov 21 23:38:39 2008  polynomial 'A' values have 12 factors
Sat Nov 22 02:33:35 2008  78924 relations (20057 full + 58867 combined from 1153943 partial), need 78920
Sat Nov 22 02:33:36 2008  begin with 1174000 relations
Sat Nov 22 02:33:37 2008  reduce to 202550 relations in 9 passes
Sat Nov 22 02:33:37 2008  attempting to read 202550 relations
Sat Nov 22 02:33:40 2008  recovered 202550 relations
Sat Nov 22 02:33:40 2008  recovered 182655 polynomials
Sat Nov 22 02:33:40 2008  attempting to build 78924 cycles
Sat Nov 22 02:33:40 2008  found 78924 cycles in 6 passes
Sat Nov 22 02:33:40 2008  distribution of cycle lengths:
Sat Nov 22 02:33:40 2008     length 1 : 20057
Sat Nov 22 02:33:40 2008     length 2 : 14148
Sat Nov 22 02:33:40 2008     length 3 : 13467
Sat Nov 22 02:33:40 2008     length 4 : 10622
Sat Nov 22 02:33:40 2008     length 5 : 7732
Sat Nov 22 02:33:40 2008     length 6 : 5123
Sat Nov 22 02:33:40 2008     length 7 : 3320
Sat Nov 22 02:33:40 2008     length 9+: 4455
Sat Nov 22 02:33:40 2008  largest cycle: 20 relations
Sat Nov 22 02:33:40 2008  matrix is 78824 x 78924 (20.4 MB) with weight 5044100 (63.91/col)
Sat Nov 22 02:33:40 2008  sparse part has weight 5044100 (63.91/col)
Sat Nov 22 02:33:41 2008  filtering completed in 3 passes
Sat Nov 22 02:33:41 2008  matrix is 74614 x 74678 (19.5 MB) with weight 4821220 (64.56/col)
Sat Nov 22 02:33:41 2008  sparse part has weight 4821220 (64.56/col)
Sat Nov 22 02:33:42 2008  saving the first 48 matrix rows for later
Sat Nov 22 02:33:42 2008  matrix is 74566 x 74678 (12.6 MB) with weight 3859562 (51.68/col)
Sat Nov 22 02:33:42 2008  sparse part has weight 2866657 (38.39/col)
Sat Nov 22 02:33:42 2008  matrix includes 64 packed rows
Sat Nov 22 02:33:42 2008  using block size 29871 for processor cache size 1024 kB
Sat Nov 22 02:33:43 2008  commencing Lanczos iteration
Sat Nov 22 02:33:43 2008  memory use: 12.1 MB
Sat Nov 22 02:34:22 2008  lanczos halted after 1180 iterations (dim = 74564)
Sat Nov 22 02:34:22 2008  recovered 16 nontrivial dependencies
Sat Nov 22 02:34:23 2008  prp46 factor: 7302277230608177321336738676050278849209010349
Sat Nov 22 02:34:23 2008  prp49 factor: 2592415258819787071229728638616500578052858667409
Sat Nov 22 02:34:23 2008  elapsed time 02:55:46

474609015111853860752833336137112158853448747727127472704320673550969428561212139271<84>

167982103839853336193445278263392698635919<42>
2825354631611978018062501736888645582464009<43>

Fri Nov 21 21:28:02 2008  Msieve v. 1.38
Fri Nov 21 21:28:02 2008  random seeds: b8cb3a44 4d4e9d2a
Fri Nov 21 21:28:02 2008  factoring 474609015111853860752833336137112158853448747727127472704320673550969428561212139271 (84 digits)
Fri Nov 21 21:28:04 2008  searching for 15-digit factors
Fri Nov 21 21:28:09 2008  commencing quadratic sieve (84-digit input)
Fri Nov 21 21:28:10 2008  using multiplier of 15
Fri Nov 21 21:28:10 2008  using 64kb Pentium 2 sieve core
Fri Nov 21 21:28:10 2008  sieve interval: 6 blocks of size 65536
Fri Nov 21 21:28:10 2008  processing polynomials in batches of 17
Fri Nov 21 21:28:10 2008  using a sieve bound of 1390619 (53529 primes)
Fri Nov 21 21:28:10 2008  using large prime bound of 119593234 (26 bits)
Fri Nov 21 21:28:10 2008  using double large prime bound of 346634530714364 (41-49 bits)
Fri Nov 21 21:28:10 2008  using trial factoring cutoff of 49 bits
Fri Nov 21 21:28:10 2008  polynomial 'A' values have 11 factors
Sat Nov 22 01:02:21 2008  53629 relations (17104 full + 36525 combined from 561999 partial), need 53625
Sat Nov 22 01:02:31 2008  begin with 579103 relations
Sat Nov 22 01:02:32 2008  reduce to 121584 relations in 10 passes
Sat Nov 22 01:02:32 2008  attempting to read 121584 relations
Sat Nov 22 01:02:37 2008  recovered 121584 relations
Sat Nov 22 01:02:37 2008  recovered 93293 polynomials
Sat Nov 22 01:02:38 2008  attempting to build 53629 cycles
Sat Nov 22 01:02:38 2008  found 53629 cycles in 4 passes
Sat Nov 22 01:02:41 2008  distribution of cycle lengths:
Sat Nov 22 01:02:41 2008     length 1 : 17104
Sat Nov 22 01:02:41 2008     length 2 : 11333
Sat Nov 22 01:02:41 2008     length 3 : 9269
Sat Nov 22 01:02:41 2008     length 4 : 6572
Sat Nov 22 01:02:41 2008     length 5 : 4225
Sat Nov 22 01:02:41 2008     length 6 : 2400
Sat Nov 22 01:02:41 2008     length 7 : 1329
Sat Nov 22 01:02:41 2008     length 9+: 1397
Sat Nov 22 01:02:41 2008  largest cycle: 16 relations
Sat Nov 22 01:02:42 2008  matrix is 53529 x 53629 (11.4 MB) with weight 2782077 (51.88/col)
Sat Nov 22 01:02:42 2008  sparse part has weight 2782077 (51.88/col)
Sat Nov 22 01:02:46 2008  filtering completed in 3 passes
Sat Nov 22 01:02:46 2008  matrix is 47011 x 47075 (10.2 MB) with weight 2486567 (52.82/col)
Sat Nov 22 01:02:46 2008  sparse part has weight 2486567 (52.82/col)
Sat Nov 22 01:02:48 2008  saving the first 48 matrix rows for later
Sat Nov 22 01:02:48 2008  matrix is 46963 x 47075 (6.2 MB) with weight 1901594 (40.39/col)
Sat Nov 22 01:02:48 2008  sparse part has weight 1340469 (28.48/col)
Sat Nov 22 01:02:48 2008  matrix includes 64 packed rows
Sat Nov 22 01:02:48 2008  using block size 5461 for processor cache size 128 kB
Sat Nov 22 01:02:49 2008  commencing Lanczos iteration
Sat Nov 22 01:02:49 2008  memory use: 6.4 MB
Sat Nov 22 01:04:39 2008  lanczos halted after 744 iterations (dim = 46954)
Sat Nov 22 01:04:40 2008  recovered 14 nontrivial dependencies
Sat Nov 22 01:04:41 2008  prp42 factor: 167982103839853336193445278263392698635919
Sat Nov 22 01:04:41 2008  prp43 factor: 2825354631611978018062501736888645582464009
Sat Nov 22 01:04:41 2008  elapsed time 03:36:39

16931216931216931216931216931216931216931216931216931216931216931216931216931216931216931216931216931216931216931216931216931<125>

4101642359788017039736531885784855474095010630123<49>
4127911564696239905743837315670797719255008130849857537912706158500072765097<76>

Number: 35551_125
N=16931216931216931216931216931216931216931216931216931216931216931216931216931216931216931216931216931216931216931216931216931
  ( 125 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=4101642359788017039736531885784855474095010630123 (pp49)
 r2=4127911564696239905743837315670797719255008130849857537912706158500072765097 (pp76)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 2.61 hours.
Scaled time: 1.23 units (timescale=0.473).
Factorization parameters were as follows:
name: 35551_125
n: 16931216931216931216931216931216931216931216931216931216931216931216931216931216931216931216931216931216931216931216931216931
m: 20000000000000000000000000
deg: 5
c5: 1
c0: -41
skew: 2.10
type: snfs
lss: 1
rlim: 900000
alim: 900000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 900000/900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [450000, 650001)
Primes: RFBsize:71274, AFBsize:71351, largePrimes:2368602 encountered
Relations: rels:2262222, finalFF:197699
Max relations in full relation-set: 28
Initial matrix: 142689 x 197699 with sparse part having weight 12662606.
Pruned matrix : 119300 x 120077 with weight 5455752.
Total sieving time: 2.36 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,126,5,0,0,0,0,0,0,0,0,900000,900000,26,26,46,46,2.3,2.3,50000
total time: 2.61 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

8693289866883998913338766639500135832654170062483020918228742189622385221407226297201847324096712849769084487910893778864439<124>

171194598333615048222366566893522206348126341433869776357<57>
50780164511633549798402123157855699628021684842890883339859369480427<68>

Number: 35551_126
N=8693289866883998913338766639500135832654170062483020918228742189622385221407226297201847324096712849769084487910893778864439
  ( 124 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=171194598333615048222366566893522206348126341433869776357 (pp57)
 r2=50780164511633549798402123157855699628021684842890883339859369480427 (pp68)
Version: GGNFS-0.77.1-20060513-k8
Total time: 2.84 hours.
Scaled time: 5.41 units (timescale=1.902).
Factorization parameters were as follows:
name: 35551_126
n: 8693289866883998913338766639500135832654170062483020918228742189622385221407226297201847324096712849769084487910893778864439
m: 20000000000000000000000000
deg: 5
c5: 10
c0: -41
skew: 1.33
type: snfs
lss: 1
rlim: 930000
alim: 930000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 930000/930000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [465000, 715001)
Primes: RFBsize:73474, AFBsize:72978, largePrimes:2463207 encountered
Relations: rels:2336543, finalFF:179494
Max relations in full relation-set: 28
Initial matrix: 146518 x 179494 with sparse part having weight 13010167.
Pruned matrix : 134193 x 134989 with weight 7615669.
Total sieving time: 2.63 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,127,5,0,0,0,0,0,0,0,0,930000,930000,26,26,46,46,2.3,2.3,50000
total time: 2.84 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

252634779279652537693843677634751731140715269848712613595857696355762680242587759<81>

400338547831239941807329391891749<33>
631052844269568196604006040863340283212860511491<48>

Fri Nov 21 00:20:47 2008  Msieve v. 1.38
Fri Nov 21 00:20:47 2008  random seeds: b84c8010 b8809f02
Fri Nov 21 00:20:47 2008  factoring 252634779279652537693843677634751731140715269848712613595857696355762680242587759 (81 digits)
Fri Nov 21 00:20:48 2008  no P-1/P+1/ECM available, skipping
Fri Nov 21 00:20:48 2008  commencing quadratic sieve (81-digit input)
Fri Nov 21 00:20:48 2008  using multiplier of 39
Fri Nov 21 00:20:48 2008  using 64kb Opteron sieve core
Fri Nov 21 00:20:48 2008  sieve interval: 6 blocks of size 65536
Fri Nov 21 00:20:48 2008  processing polynomials in batches of 17
Fri Nov 21 00:20:48 2008  using a sieve bound of 1315507 (50588 primes)
Fri Nov 21 00:20:48 2008  using large prime bound of 128919686 (26 bits)
Fri Nov 21 00:20:48 2008  using trial factoring cutoff of 27 bits
Fri Nov 21 00:20:48 2008  polynomial 'A' values have 10 factors
Fri Nov 21 00:38:56 2008  50811 relations (26310 full + 24501 combined from 269737 partial), need 50684
Fri Nov 21 00:38:56 2008  begin with 296047 relations
Fri Nov 21 00:38:57 2008  reduce to 72222 relations in 2 passes
Fri Nov 21 00:38:57 2008  attempting to read 72222 relations
Fri Nov 21 00:38:57 2008  recovered 72222 relations
Fri Nov 21 00:38:57 2008  recovered 62442 polynomials
Fri Nov 21 00:38:57 2008  attempting to build 50811 cycles
Fri Nov 21 00:38:57 2008  found 50811 cycles in 1 passes
Fri Nov 21 00:38:57 2008  distribution of cycle lengths:
Fri Nov 21 00:38:57 2008     length 1 : 26310
Fri Nov 21 00:38:57 2008     length 2 : 24501
Fri Nov 21 00:38:57 2008  largest cycle: 2 relations
Fri Nov 21 00:38:57 2008  matrix is 50588 x 50811 (7.6 MB) with weight 1577942 (31.06/col)
Fri Nov 21 00:38:57 2008  sparse part has weight 1577942 (31.06/col)
Fri Nov 21 00:38:58 2008  filtering completed in 3 passes
Fri Nov 21 00:38:58 2008  matrix is 35841 x 35905 (5.9 MB) with weight 1254482 (34.94/col)
Fri Nov 21 00:38:58 2008  sparse part has weight 1254482 (34.94/col)
Fri Nov 21 00:38:58 2008  saving the first 48 matrix rows for later
Fri Nov 21 00:38:58 2008  matrix is 35793 x 35905 (4.6 MB) with weight 1006660 (28.04/col)
Fri Nov 21 00:38:58 2008  sparse part has weight 834359 (23.24/col)
Fri Nov 21 00:38:58 2008  matrix includes 64 packed rows
Fri Nov 21 00:38:58 2008  using block size 14362 for processor cache size 1024 kB
Fri Nov 21 00:38:58 2008  commencing Lanczos iteration
Fri Nov 21 00:38:58 2008  memory use: 4.2 MB
Fri Nov 21 00:39:06 2008  lanczos halted after 567 iterations (dim = 35789)
Fri Nov 21 00:39:06 2008  recovered 16 nontrivial dependencies
Fri Nov 21 00:39:06 2008  prp33 factor: 400338547831239941807329391891749
Fri Nov 21 00:39:06 2008  prp48 factor: 631052844269568196604006040863340283212860511491
Fri Nov 21 00:39:06 2008  elapsed time 00:18:19

Msieve-1.38

Opteron-2.6GHz; Linux x86_64

135156183893466024666977800451768589430551510931312422361412184461027826326223292573670614332699251<99>

401832657422981661467753981794828719551127827<45>
336349426550456762380413783163560600207935723362612513<54>

Number: n
N=135156183893466024666977800451768589430551510931312422361412184461027826326223292573670614332699251
  ( 99 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=401832657422981661467753981794828719551127827 (pp45)
 r2=336349426550456762380413783163560600207935723362612513 (pp54)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 2.24 hours.
Scaled time: 4.58 units (timescale=2.045).
Factorization parameters were as follows:
name: KA_3_5_127_1
n: 135156183893466024666977800451768589430551510931312422361412184461027826326223292573670614332699251
type: snfs
skew: 5.28
deg: 5
c5: 1
c0: -4100
m: 200000000000000000000000000
rlim: 800000
alim: 800000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [100000, 380001)
Primes: RFBsize:63951, AFBsize:64074, largePrimes:5795056 encountered
Relations: rels:4973051, finalFF:148600
Max relations in full relation-set: 28
Initial matrix: 128089 x 148600 with sparse part having weight 12143336.
Pruned matrix : 120774 x 121478 with weight 8312350.
Total sieving time: 2.07 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.04 hours.
Total square root time: 0.02 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,800000,800000,28,28,56,56,2.5,2.5,50000
total time: 2.24 hours.
 --------- CPU info (if available) ----------

48706240487062404870624048706240487062404870624048706240487062404870624048706240487062404870624048706240487062404870624048706240487<131>

53253233532503110182693787985653<32>
20444379394590998327962375579649849<35>
44736777108005239501416276185226616696706068766867655030020027971<65>

Number: 35551_132
N=48706240487062404870624048706240487062404870624048706240487062404870624048706240487062404870624048706240487062404870624048706240487
  ( 131 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=53253233532503110182693787985653 (pp32)
 r2=20444379394590998327962375579649849 (pp35)
 r3=44736777108005239501416276185226616696706068766867655030020027971 (pp65)
Version: GGNFS-0.77.1-20060513-k8
Total time: 6.33 hours.
Scaled time: 12.59 units (timescale=1.991).
Factorization parameters were as follows:
name: 35551_132
n: 48706240487062404870624048706240487062404870624048706240487062404870624048706240487062404870624048706240487062404870624048706240487
m: 200000000000000000000000000
deg: 5
c5: 100
c0: -41
skew: 0.84
type: snfs
lss: 1
rlim: 1180000
alim: 1180000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1180000/1180000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [590000, 1115001)
Primes: RFBsize:91490, AFBsize:90768, largePrimes:3152382 encountered
Relations: rels:3171737, finalFF:314254
Max relations in full relation-set: 28
Initial matrix: 182322 x 314254 with sparse part having weight 26946203.
Pruned matrix : 151286 x 152261 with weight 9842261.
Total sieving time: 6.01 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.17 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,133,5,0,0,0,0,0,0,0,0,1180000,1180000,26,26,47,47,2.3,2.3,75000
total time: 6.33 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

14136762824986238572564321696749274769854880665085945554158885278298001836898244885757132890343104582008920690169<113>

395238694440067346506321051229<30>
4607584230616385795106992439653<31>
7762779182268771788520111353675163478851612794868937<52>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=978761011
Step 1 took 56903ms
Step 2 took 20658ms
********** Factor found in step 2: 4607584230616385795106992439653
Found probable prime factor of 31 digits: 4607584230616385795106992439653
Composite cofactor 3068150709226442954934260179839783913836305853892991916706470823431308919117773573 has 82 digits

Fri Nov 21 11:32:35 2008  Msieve v. 1.38
Fri Nov 21 11:32:35 2008  random seeds: f61d4527 abcf05c9
Fri Nov 21 11:32:35 2008  factoring 3068150709226442954934260179839783913836305853892991916706470823431308919117773573 (82 digits)
Fri Nov 21 11:32:35 2008  no P-1/P+1/ECM available, skipping
Fri Nov 21 11:32:35 2008  commencing quadratic sieve (82-digit input)
Fri Nov 21 11:32:35 2008  using multiplier of 13
Fri Nov 21 11:32:35 2008  using 64kb Opteron sieve core
Fri Nov 21 11:32:35 2008  sieve interval: 6 blocks of size 65536
Fri Nov 21 11:32:35 2008  processing polynomials in batches of 17
Fri Nov 21 11:32:35 2008  using a sieve bound of 1339157 (51471 primes)
Fri Nov 21 11:32:35 2008  using large prime bound of 125880758 (26 bits)
Fri Nov 21 11:32:35 2008  using trial factoring cutoff of 27 bits
Fri Nov 21 11:32:35 2008  polynomial 'A' values have 11 factors
Fri Nov 21 11:46:18 2008  51761 relations (27110 full + 24651 combined from 267857 partial), need 51567
Fri Nov 21 11:46:18 2008  begin with 294967 relations
Fri Nov 21 11:46:18 2008  reduce to 73333 relations in 2 passes
Fri Nov 21 11:46:18 2008  attempting to read 73333 relations
Fri Nov 21 11:46:18 2008  recovered 73333 relations
Fri Nov 21 11:46:18 2008  recovered 64668 polynomials
Fri Nov 21 11:46:19 2008  attempting to build 51761 cycles
Fri Nov 21 11:46:19 2008  found 51761 cycles in 1 passes
Fri Nov 21 11:46:19 2008  distribution of cycle lengths:
Fri Nov 21 11:46:19 2008     length 1 : 27110
Fri Nov 21 11:46:19 2008     length 2 : 24651
Fri Nov 21 11:46:19 2008  largest cycle: 2 relations
Fri Nov 21 11:46:19 2008  matrix is 51471 x 51761 (7.9 MB) with weight 1651481 (31.91/col)
Fri Nov 21 11:46:19 2008  sparse part has weight 1651481 (31.91/col)
Fri Nov 21 11:46:19 2008  filtering completed in 3 passes
Fri Nov 21 11:46:19 2008  matrix is 36514 x 36576 (6.1 MB) with weight 1302933 (35.62/col)
Fri Nov 21 11:46:19 2008  sparse part has weight 1302933 (35.62/col)
Fri Nov 21 11:46:19 2008  saving the first 48 matrix rows for later
Fri Nov 21 11:46:19 2008  matrix is 36466 x 36576 (4.2 MB) with weight 993167 (27.15/col)
Fri Nov 21 11:46:19 2008  sparse part has weight 731232 (19.99/col)
Fri Nov 21 11:46:19 2008  matrix includes 64 packed rows
Fri Nov 21 11:46:19 2008  using block size 14630 for processor cache size 1024 kB
Fri Nov 21 11:46:19 2008  commencing Lanczos iteration
Fri Nov 21 11:46:19 2008  memory use: 4.1 MB
Fri Nov 21 11:46:24 2008  lanczos halted after 578 iterations (dim = 36464)
Fri Nov 21 11:46:24 2008  recovered 17 nontrivial dependencies
Fri Nov 21 11:46:24 2008  prp30 factor: 395238694440067346506321051229
Fri Nov 21 11:46:24 2008  prp52 factor: 7762779182268771788520111353675163478851612794868937
Fri Nov 21 11:46:24 2008  elapsed time 00:13:49

GMP-ECM 6.2.1; Msieve-1.38

Opteron-2.6GHz; Linux x86_64

12212949399178668390243576524554600576571890847483782236527906299510402361140498997671220687341868711013028609162572245802355191953<131>

3614408098329054255724340417243253779450081<43>
3378962493146452219447414756610095654554526360880050718178161743928515403049413915028913<88>

Number: 35551_138
N=12212949399178668390243576524554600576571890847483782236527906299510402361140498997671220687341868711013028609162572245802355191953
  ( 131 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=3614408098329054255724340417243253779450081 (pp43)
 r2=3378962493146452219447414756610095654554526360880050718178161743928515403049413915028913 (pp88)
Version: GGNFS-0.77.1-20060513-k8
Total time: 8.53 hours.
Scaled time: 16.67 units (timescale=1.955).
Factorization parameters were as follows:
name: 35551_138
n: 12212949399178668390243576524554600576571890847483782236527906299510402361140498997671220687341868711013028609162572245802355191953
m: 4000000000000000000000000000
deg: 5
c5: 125
c0: -164
skew: 1.06
type: snfs
lss: 1
rlim: 1510000
alim: 1510000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1510000/1510000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [755000, 1430001)
Primes: RFBsize:114886, AFBsize:114908, largePrimes:3334696 encountered
Relations: rels:3259503, finalFF:260977
Max relations in full relation-set: 28
Initial matrix: 229860 x 260977 with sparse part having weight 20373065.
Pruned matrix : 219199 x 220412 with weight 14602189.
Total sieving time: 7.87 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.48 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,140,5,0,0,0,0,0,0,0,0,1510000,1510000,26,26,48,48,2.3,2.3,75000
total time: 8.53 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

35555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555551<140>

464526285610532197573410910418540500603849191853171<51>
76541536306873319748687998204768071820486616615213271404046353568746662919813194493399781<89>

SNFS difficulty: 141 digits.
Divisors found:
 r1=464526285610532197573410910418540500603849191853171 (pp51)
 r2=76541536306873319748687998204768071820486616615213271404046353568746662919813194493399781 (pp89)
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.949).
Factorization parameters were as follows:
n: 35555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555551
m: 10000000000000000000000000000
deg: 5
c5: 16
c0: -205
skew: 1.67
type: snfs
lss: 1
rlim: 1580000
alim: 1580000
lpbr: 25
lpba: 25
mfbr: 48
mfba: 48
rlambda: 2.4
alambda: 2.4
Factor base limits: 1580000/1580000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 48/48
Sieved rational special-q in [790000, 1590001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 220033 x 220275
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,1580000,1580000,25,25,48,48,2.4,2.4,200000
total time: 4.50 hours.

Msieve-1.38

Opteron-2.6GHz; Linux x86_64

653214490021568591153880136071698042579076844847058983336996288582169963418227578858397724804353204253<102>

81534190191088785562703437179631417594742467373<47>
8011540784187013965767181696517537757246380887244496561<55>

Number: n
N=653214490021568591153880136071698042579076844847058983336996288582169963418227578858397724804353204253
  ( 102 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=81534190191088785562703437179631417594742467373 (pp47)
 r2=8011540784187013965767181696517537757246380887244496561 (pp55)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 4.74 hours.
Scaled time: 6.86 units (timescale=1.448).
Factorization parameters were as follows:
name: KA_3_5_139_1
n: 653214490021568591153880136071698042579076844847058983336996288582169963418227578858397724804353204253
type: snfs
skew: 2.10
deg: 5
c5: 1
c0: -41
m: 20000000000000000000000000000
rlim: 1200000
alim: 1200000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [100000, 600001)
Primes: RFBsize:92938, AFBsize:93090, largePrimes:7573396 encountered
Relations: rels:6550842, finalFF:211514
Max relations in full relation-set: 28
Initial matrix: 186092 x 211514 with sparse part having weight 17096091.
Pruned matrix : 174635 x 175629 with weight 12149381.
Total sieving time: 3.84 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.64 hours.
Total square root time: 0.10 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,1200000,1200000,28,28,56,56,2.5,2.5,100000
total time: 4.74 hours.
 --------- CPU info (if available) ----------

1411874324770932570133784077882139868858237151608737458865903660716993942523655638259947462944967839507201267607708351<118>

577085991676888579048591258886894351<36>
2446557956931734686843641738363522287338694689153264217316360714289132931884914001<82>

Number: 35551_147
N=1411874324770932570133784077882139868858237151608737458865903660716993942523655638259947462944967839507201267607708351
  ( 118 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=577085991676888579048591258886894351 (pp36)
 r2=2446557956931734686843641738363522287338694689153264217316360714289132931884914001 (pp82)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 11.61 hours.
Scaled time: 27.56 units (timescale=2.374).
Factorization parameters were as follows:
n: 1411874324770932570133784077882139868858237151608737458865903660716993942523655638259947462944967839507201267607708351
m: 200000000000000000000000000000
deg: 5
c5: 100
c0: -41
skew: 0.84
type: snfs
lss: 1
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [900000, 1800001)
Primes: RFBsize:135072, AFBsize:134269, largePrimes:3907862 encountered
Relations: rels:3974260, finalFF:333414
Max relations in full relation-set: 28
Initial matrix: 269405 x 333414 with sparse part having weight 32597540.
Pruned matrix : 250682 x 252093 with weight 21205303.
Total sieving time: 11.00 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.52 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,148,5,0,0,0,0,0,0,0,0,1800000,1800000,26,26,49,49,2.3,2.3,75000
total time: 11.61 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047068k/8912896k available (2460k kernel code, 339224k reserved, 1251k data, 196k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673803)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672384)
Calibrating delay using timer specific routine.. 5497.76 BogoMIPS (lpj=2748880)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)

Core 2 Quad Q6700

5170324609644016527884881041706215829565526794526256285437584956636903529022585551794141982832094977765160463535536209979<121>

4843514337760459572815534254707218514959785263884641<52>
1067473790535875080479232281288764753614270973659955842797287456129819<70>

Number: 35551_148
N=5170324609644016527884881041706215829565526794526256285437584956636903529022585551794141982832094977765160463535536209979
  ( 121 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=4843514337760459572815534254707218514959785263884641 (pp52)
 r2=1067473790535875080479232281288764753614270973659955842797287456129819 (pp70)
Version: GGNFS-0.77.1-20060513-k8
Total time: 23.00 hours.
Scaled time: 45.79 units (timescale=1.991).
Factorization parameters were as follows:
name: 35551_148
n: 5170324609644016527884881041706215829565526794526256285437584956636903529022585551794141982832094977765160463535536209979
m: 400000000000000000000000000000
deg: 5
c5: 125
c0: -164
skew: 1.06
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1100000, 1800001)
Primes: RFBsize:162662, AFBsize:162616, largePrimes:7413483 encountered
Relations: rels:7905348, finalFF:907301
Max relations in full relation-set: 28
Initial matrix: 325344 x 907301 with sparse part having weight 102751201.
Pruned matrix : 217844 x 219534 with weight 33552730.
Total sieving time: 21.78 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 0.91 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,2200000,2200000,27,27,49,49,2.4,2.4,100000
total time: 23.00 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

1645304867052464418756468820263549672476733372189469658647398655789212312830417506743281860111<94>

80114216324581510271381545232553255062473<41>
20536990094074404442694620736817421850163590286243607<53>

Fri Nov 21 20:27:25 2008  Msieve v. 1.38
Fri Nov 21 20:27:25 2008  random seeds: 57771344 631fd988
Fri Nov 21 20:27:25 2008  factoring 1645304867052464418756468820263549672476733372189469658647398655789212312830417506743281860111 (94 digits)
Fri Nov 21 20:27:25 2008  searching for 15-digit factors
Fri Nov 21 20:27:27 2008  commencing quadratic sieve (94-digit input)
Fri Nov 21 20:27:27 2008  using multiplier of 31
Fri Nov 21 20:27:27 2008  using 32kb Intel Core sieve core
Fri Nov 21 20:27:27 2008  sieve interval: 36 blocks of size 32768
Fri Nov 21 20:27:27 2008  processing polynomials in batches of 6
Fri Nov 21 20:27:27 2008  using a sieve bound of 1986293 (74118 primes)
Fri Nov 21 20:27:27 2008  using large prime bound of 256231797 (27 bits)
Fri Nov 21 20:27:27 2008  using double large prime bound of 1366278931731603 (42-51 bits)
Fri Nov 21 20:27:27 2008  using trial factoring cutoff of 51 bits
Fri Nov 21 20:27:27 2008  polynomial 'A' values have 12 factors
Fri Nov 21 20:27:27 2008  restarting with 338 full and 17985 partial relations
Fri Nov 21 23:26:19 2008  74250 relations (18366 full + 55884 combined from 1032480 partial), need 74214
Fri Nov 21 23:26:20 2008  begin with 1050846 relations
Fri Nov 21 23:26:21 2008  reduce to 191860 relations in 12 passes
Fri Nov 21 23:26:21 2008  attempting to read 191860 relations
Fri Nov 21 23:26:24 2008  recovered 191860 relations
Fri Nov 21 23:26:24 2008  recovered 175246 polynomials
Fri Nov 21 23:26:24 2008  attempting to build 74250 cycles
Fri Nov 21 23:26:24 2008  found 74250 cycles in 5 passes
Fri Nov 21 23:26:24 2008  distribution of cycle lengths:
Fri Nov 21 23:26:24 2008     length 1 : 18366
Fri Nov 21 23:26:24 2008     length 2 : 13089
Fri Nov 21 23:26:24 2008     length 3 : 12660
Fri Nov 21 23:26:24 2008     length 4 : 10071
Fri Nov 21 23:26:24 2008     length 5 : 7558
Fri Nov 21 23:26:24 2008     length 6 : 5099
Fri Nov 21 23:26:24 2008     length 7 : 3181
Fri Nov 21 23:26:24 2008     length 9+: 4226
Fri Nov 21 23:26:24 2008  largest cycle: 21 relations
Fri Nov 21 23:26:24 2008  matrix is 74118 x 74250 (19.6 MB) with weight 4844671 (65.25/col)
Fri Nov 21 23:26:24 2008  sparse part has weight 4844671 (65.25/col)
Fri Nov 21 23:26:25 2008  filtering completed in 3 passes
Fri Nov 21 23:26:25 2008  matrix is 70475 x 70539 (18.8 MB) with weight 4640189 (65.78/col)
Fri Nov 21 23:26:25 2008  sparse part has weight 4640189 (65.78/col)
Fri Nov 21 23:26:25 2008  saving the first 48 matrix rows for later
Fri Nov 21 23:26:26 2008  matrix is 70427 x 70539 (12.2 MB) with weight 3705494 (52.53/col)
Fri Nov 21 23:26:26 2008  sparse part has weight 2781041 (39.43/col)
Fri Nov 21 23:26:26 2008  matrix includes 64 packed rows
Fri Nov 21 23:26:26 2008  using block size 28215 for processor cache size 1024 kB
Fri Nov 21 23:26:26 2008  commencing Lanczos iteration
Fri Nov 21 23:26:26 2008  memory use: 11.5 MB
Fri Nov 21 23:27:02 2008  lanczos halted after 1116 iterations (dim = 70427)
Fri Nov 21 23:27:02 2008  recovered 18 nontrivial dependencies
Fri Nov 21 23:27:02 2008  prp41 factor: 80114216324581510271381545232553255062473
Fri Nov 21 23:27:02 2008  prp53 factor: 20536990094074404442694620736817421850163590286243607
Fri Nov 21 23:27:02 2008  elapsed time 02:59:37

491846113647192634604448133290296798389203977805444121670432363474277985275356972687170501529334009621739598223205914449516607491431118488802815819<147>

151630060370265312596023804982270143882259787233401865167<57>
3243724314599321778834666368665223817246547329724430342376155329768224196716824187092053957<91>

SNFS difficulty: 151 digits.
Divisors found:
 r1=151630060370265312596023804982270143882259787233401865167 (pp57)
 r2=3243724314599321778834666368665223817246547329724430342376155329768224196716824187092053957 (pp91)
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.952).
Factorization parameters were as follows:
n: 491846113647192634604448133290296798389203977805444121670432363474277985275356972687170501529334009621739598223205914449516607491431118488802815819
m: 2000000000000000000000000000000
deg: 5
c5: 1
c0: -41
skew: 2.10
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved rational special-q in [1150000, 1750001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 350251 x 350493
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,53,53,2.5,2.5,200000
total time: 10.00 hours.

Msieve-1.38

Opteron-2.8GHz; Linux x86_64

551992739033384950060268575515588763406213000287167928339052156947081662679297048315633<87>

180480728295344801238466336014947707069<39>
3058458065007834303252286311493510914433449868357<49>

Fri Nov 21 22:15:27 2008  
Fri Nov 21 22:15:27 2008  
Fri Nov 21 22:15:28 2008  Msieve v. 1.38
Fri Nov 21 22:15:28 2008  random seeds: a89c3cd0 547fa8f3
Fri Nov 21 22:15:28 2008  factoring 551992739033384950060268575515588763406213000287167928339052156947081662679297048315633 (87 digits)
Fri Nov 21 22:15:29 2008  searching for 15-digit factors
Fri Nov 21 22:15:31 2008  commencing quadratic sieve (87-digit input)
Fri Nov 21 22:15:31 2008  using multiplier of 1
Fri Nov 21 22:15:31 2008  using 32kb Intel Core sieve core
Fri Nov 21 22:15:31 2008  sieve interval: 22 blocks of size 32768
Fri Nov 21 22:15:31 2008  processing polynomials in batches of 10
Fri Nov 21 22:15:32 2008  using a sieve bound of 1499123 (56843 primes)
Fri Nov 21 22:15:32 2008  using large prime bound of 119929840 (26 bits)
Fri Nov 21 22:15:32 2008  using double large prime bound of 348392707234640 (42-49 bits)
Fri Nov 21 22:15:32 2008  using trial factoring cutoff of 49 bits
Fri Nov 21 22:15:32 2008  polynomial 'A' values have 11 factors
Fri Nov 21 22:48:17 2008  56958 relations (16178 full + 40780 combined from 596856 partial), need 56939
Fri Nov 21 22:48:17 2008  begin with 613034 relations
Fri Nov 21 22:48:18 2008  reduce to 135437 relations in 9 passes
Fri Nov 21 22:48:18 2008  attempting to read 135437 relations
Fri Nov 21 22:48:20 2008  recovered 135437 relations
Fri Nov 21 22:48:20 2008  recovered 110021 polynomials
Fri Nov 21 22:48:20 2008  attempting to build 56958 cycles
Fri Nov 21 22:48:20 2008  found 56958 cycles in 5 passes
Fri Nov 21 22:48:20 2008  distribution of cycle lengths:
Fri Nov 21 22:48:21 2008     length 1 : 16178
Fri Nov 21 22:48:21 2008     length 2 : 11310
Fri Nov 21 22:48:21 2008     length 3 : 9937
Fri Nov 21 22:48:21 2008     length 4 : 7424
Fri Nov 21 22:48:21 2008     length 5 : 5053
Fri Nov 21 22:48:21 2008     length 6 : 3174
Fri Nov 21 22:48:22 2008     length 7 : 1914
Fri Nov 21 22:48:22 2008     length 9+: 1968
Fri Nov 21 22:48:22 2008  largest cycle: 17 relations
Fri Nov 21 22:48:22 2008  matrix is 56843 x 56958 (12.9 MB) with weight 3155406 (55.40/col)
Fri Nov 21 22:48:22 2008  sparse part has weight 3155406 (55.40/col)
Fri Nov 21 22:48:23 2008  filtering completed in 4 passes
Fri Nov 21 22:48:23 2008  matrix is 52253 x 52317 (12.0 MB) with weight 2938923 (56.18/col)
Fri Nov 21 22:48:23 2008  sparse part has weight 2938923 (56.18/col)
Fri Nov 21 22:48:24 2008  saving the first 48 matrix rows for later
Fri Nov 21 22:48:24 2008  matrix is 52205 x 52317 (7.7 MB) with weight 2303617 (44.03/col)
Fri Nov 21 22:48:24 2008  sparse part has weight 1692532 (32.35/col)
Fri Nov 21 22:48:24 2008  matrix includes 64 packed rows
Fri Nov 21 22:48:24 2008  using block size 20926 for processor cache size 4096 kB
Fri Nov 21 22:48:25 2008  commencing Lanczos iteration
Fri Nov 21 22:48:25 2008  memory use: 7.6 MB
Fri Nov 21 22:48:37 2008  lanczos halted after 828 iterations (dim = 52203)
Fri Nov 21 22:48:38 2008  recovered 16 nontrivial dependencies
Fri Nov 21 22:48:38 2008  prp39 factor: 180480728295344801238466336014947707069
Fri Nov 21 22:48:38 2008  prp49 factor: 3058458065007834303252286311493510914433449868357
Fri Nov 21 22:48:38 2008  elapsed time 00:33:10

2102132801408072665433570017523700921622909350181134181486504199352195851104181023043039126755430419794153335805927625999552404687093187007757973<145>

177032885146535852618476212619<30>
183767390539545233362133693209<30>
64615655324137978437197139681674314373675816817502284960654218102416791281648499460663<86>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=524982478
Step 1 took 18886ms
Step 2 took 14066ms
********** Factor found in step 2: 183767390539545233362133693209
Found probable prime factor of 30 digits: 183767390539545233362133693209

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1337943101
Step 1 took 19191ms
Step 2 took 14563ms
********** Factor found in step 2: 177032885146535852618476212619
Found probable prime factor of 30 digits: 177032885146535852618476212619

GMP-ECM 6.2.1

24119714744167530175826743896080551920044617404588160851068750109106326746284237447175478123245774165863<104>

7152201341862591428684838599721619649<37>
3372348398945690607950846917414070323884300578481012329068619483687<67>

GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 24119714744167530175826743896080551920044617404588160851068750109106326746284237447175478123245774165863 (104 digits)
Using B1=1766000, B2=2140281790, polynomial Dickson(6), sigma=647106178
Step 1 took 12632ms
Step 2 took 5157ms
********** Factor found in step 2: 7152201341862591428684838599721619649
Found probable prime factor of 37 digits: 7152201341862591428684838599721619649
Probable prime cofactor 3372348398945690607950846917414070323884300578481012329068619483687 has 67 digits

892652102578460163452218925109299370287832470891244205426080081902444565148626159311884218437879316318892518659927<114>

6589889674901733654324033821990327559794316422291<49>
135457821999390469099670401531267201792965530673937169973854234797<66>

Number: n
N=892652102578460163452218925109299370287832470891244205426080081902444565148626159311884218437879316318892518659927
  ( 114 digits)
Divisors found:
 r1=6589889674901733654324033821990327559794316422291 (pp49)
 r2=135457821999390469099670401531267201792965530673937169973854234797 (pp66)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 31.44 hours.
Scaled time: 64.30 units (timescale=2.045).
Factorization parameters were as follows:
name: KA_3_5_154_1
n: 892652102578460163452218925109299370287832470891244205426080081902444565148626159311884218437879316318892518659927
skew: 17881.72
# norm 1.65e+15
c5: 124740
c4: -3305249242
c3: -66180629234238
c2: 941123426736639434
c1: 18068018182754986939935
c0: 56736548028175370430747650
# alpha -4.71
Y1: 627207758323
Y0: -5901134905459535117853
# Murphy_E 5.87e-10
# M 875948648962425620048330212363563760145461037216438232018025505669232687984754761478672507962506218253364299892481
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [100000, 1700001)
Primes: RFBsize:250150, AFBsize:250601, largePrimes:7261061 encountered
Relations: rels:7091857, finalFF:612715
Max relations in full relation-set: 28
Initial matrix: 500833 x 612715 with sparse part having weight 46311257.
Pruned matrix : 402233 x 404801 with weight 24686433.
Total sieving time: 29.94 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 0.71 hours.
Total square root time: 0.58 hours, sqrts: 3.
Prototype def-par.txt line would be:
gnfs,113,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 31.44 hours.
 --------- CPU info (if available) ----------

416271860748980805269299319690524959322893202639117708912412035001294381766873523256418067451244226313074070942399137<117>

277097866660463929160851656157857587<36>
1502255740059705391542146623564628296144683429311981707835983561439257940088530651<82>

GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 416271860748980805269299319690524959322893202639117708912412035001294381766873523256418067451244226313074070942399137 (117 digits)
Using B1=2456000, B2=3567875230, polynomial Dickson(6), sigma=3741657175
Step 1 took 32438ms
Step 2 took 11703ms
********** Factor found in step 2: 277097866660463929160851656157857587
Found probable prime factor of 36 digits: 277097866660463929160851656157857587
Probable prime cofactor 1502255740059705391542146623564628296144683429311981707835983561439257940088530651 has 82 digits

139954548194732252772345103037177836269244519580093301897914837173705598226144679360384114914384268104259142427097644136911644161859417093496658226747<150>

82152423305033592348298831619<29>
1703596103003294419723782049965196114125342318793393470606475103127644906981867365346338961594764303306093223734477470313<121>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1517652325
Step 1 took 18518ms
Step 2 took 14281ms
********** Factor found in step 2: 82152423305033592348298831619
Found probable prime factor of 29 digits: 82152423305033592348298831619
Probable prime cofactor 1703596103003294419723782049965196114125342318793393470606475103127644906981867365346338961594764303306093223734477470313 has 121 digits

GMP-ECM 6.2.1

28521065183715196355824844085452176849021322513407806760569274498363666847451583590806239126414388837306251084921249<116>

163875404876858976588551599658128966517628862360417550081<57>
174041157702382505971591718344739887639052132484582251616929<60>

Number: n
N=28521065183715196355824844085452176849021322513407806760569274498363666847451583590806239126414388837306251084921249
  ( 116 digits)
Divisors found:

Mon Nov 24 21:52:43 2008  prp57 factor: 163875404876858976588551599658128966517628862360417550081
Mon Nov 24 21:52:43 2008  prp60 factor: 174041157702382505971591718344739887639052132484582251616929
Mon Nov 24 21:52:43 2008  elapsed time 00:43:19 (Msieve 1.38)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 36.70 hours.
Scaled time: 53.17 units (timescale=1.449).
Factorization parameters were as follows:
name: KA_3_5_159_1
n: 28521065183715196355824844085452176849021322513407806760569274498363666847451583590806239126414388837306251084921249
skew: 115436.32
# norm 1.36e+16
c5: 4800
c4: -783522220
c3: -300581098722771
c2: 10441071344211345536
c1: -17790501904306421094330
c0: -14839347986275999951931807367
# alpha -6.62
Y1: 1602120061993
Y0: -22635281731215525167408
# Murphy_E 5.30e-10
# M 3583062506374066250087638677111738450689527918815593869953971918521088312084087884886850189552142664315250577447483
type: gnfs
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 60000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 1720001)
Primes: RFBsize:315948, AFBsize:316284, largePrimes:6170251 encountered
Relations: rels:6123996, finalFF:749005
Max relations in full relation-set: 28
Initial matrix: 632311 x 749005 with sparse part having weight 34439405.
Pruned matrix : 499348 x 502573 with weight 16557018.
Total sieving time: 36.45 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,115,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.4,2.4,60000
total time: 36.70 hours.
 --------- CPU info (if available) ----------

80301982137501457226438683808161823698010328552916864791826396744849000596280781712481044585978795444664900507<110>

22564381405754882879509950206984140408804091429<47>
3558793866027322837892334872232527090837570341500904949191061183<64>

Number: n
N=80301982137501457226438683808161823698010328552916864791826396744849000596280781712481044585978795444664900507
  ( 110 digits)
Divisors found:
 r1=22564381405754882879509950206984140408804091429 (pp47)
 r2=3558793866027322837892334872232527090837570341500904949191061183 (pp64)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 17.19 hours.
Scaled time: 35.03 units (timescale=2.038).
Factorization parameters were as follows:
name: KA_3_5_161_1
n: 80301982137501457226438683808161823698010328552916864791826396744849000596280781712481044585978795444664900507
skew: 20941.36
# norm 3.03e+15
c5: 80160
c4: -178494500
c3: -208866880738614
c2: 1010698957953137416
c1: 26388170788187158703673
c0: 67057988088281024513967838
# alpha -6.73
Y1: 2999771929
Y0: -1000353997470729914547
# Murphy_E 1.09e-09
# M 51387382130815976307384603189548897007283674985944576533889534954907903830011786739793269560296316131041848063
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [100000, 1000001)
Primes: RFBsize:230209, AFBsize:229814, largePrimes:6650753 encountered
Relations: rels:6415890, finalFF:611905
Max relations in full relation-set: 28
Initial matrix: 460107 x 611905 with sparse part having weight 37008769.
Pruned matrix : 312942 x 315306 with weight 13812048.
Total sieving time: 16.59 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 0.29 hours.
Total square root time: 0.11 hours, sqrts: 1.
Prototype def-par.txt line would be:
gnfs,109,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 17.19 hours.
 --------- CPU info (if available) ----------

1076885231038767992413352754329605253167257680508027092947125535368173098885445945137010069761323421743188297144152194724878946519747<133>

952732027174124881625503241681651225883485593<45>
1130312827031637517531129402173147614032500164417042066514785305877661651415227444360379<88>

GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 1076885231038767992413352754329605253167257680508027092947125535368173098885445945137010069761323421743188297144152194724878946519747 (133 digits)
Using B1=2114000, B2=2439300909, polynomial Dickson(6), sigma=2117395774
Step 1 took 28031ms
Step 2 took 15469ms
********** Factor found in step 2: 952732027174124881625503241681651225883485593
Found probable prime factor of 45 digits: 952732027174124881625503241681651225883485593
Probable prime cofactor 1130312827031637517531129402173147614032500164417042066514785305877661651415227444360379 has 88 digits

18814985910856850738989493552015668813724344381955732627780744427450386269838098108337739752472791134671475386080902144478651310281628482623249021352127677<155>

9792135022795704973814420716717552208387<40>
1921438569531190489372181741560709835825907604892997957330053823094539017344979860619343704918741149830171856900671<115>

Number: n
N=18814985910856850738989493552015668813724344381955732627780744427450386269838098108337739752472791134671475386080902144478651310281628482623249021352127677
  ( 155 digits)
SNFS difficulty: 167 digits.
Divisors found:

Wed Nov 26 09:08:30 2008  prp40 factor: 9792135022795704973814420716717552208387
Wed Nov 26 09:08:30 2008  prp115 factor: 1921438569531190489372181741560709835825907604892997957330053823094539017344979860619343704918741149830171856900671
Wed Nov 26 09:08:30 2008  elapsed time 02:15:55 (Msieve 1.38)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 37.41 hours.
Scaled time: 68.08 units (timescale=1.820).
Factorization parameters were as follows:
name: KA_3_5_165_1
n: 18814985910856850738989493552015668813724344381955732627780744427450386269838098108337739752472791134671475386080902144478651310281628482623249021352127677
type: snfs
skew: 1.33
deg: 5
c5: 10
c0: -41
m: 2000000000000000000000000000000000
rlim: 5200000
alim: 5200000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 2150001)
Primes: RFBsize:361407, AFBsize:361403, largePrimes:15647474 encountered
Relations: rels:14410609, finalFF:836059
Max relations in full relation-set: 28
Initial matrix: 722876 x 836059 with sparse part having weight 94388964.
Pruned matrix : 631595 x 635273 with weight 62761233.
Total sieving time: 36.91 hours.
Total relation processing time: 0.49 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,5200000,5200000,28,28,56,56,2.5,2.5,100000
total time: 37.41 hours.
 --------- CPU info (if available) ----------

582147603270119562384365247265284317160054042945065077461924499567273313587978157167009251435134830933511703358975297967247902845095416448111173892091701273067667<162>

2071061672414038887327862478162760144139<40>
281086561073560727550682470459751650208883734024290695333856539193174433441099866200434115946299221513714137236518465529753<123>

GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 582147603270119562384365247265284317160054042945065077461924499567273313587978157167009251435134830933511703358975297967247902845095416448111173892091701273067667 (162 digits)
Using B1=2658000, B2=4281434440, polynomial Dickson(6), sigma=79681721
Step 1 took 53859ms
Step 2 took 19406ms
********** Factor found in step 2: 2071061672414038887327862478162760144139
Found probable prime factor of 40 digits: 2071061672414038887327862478162760144139
Probable prime cofactor 281086561073560727550682470459751650208883734024290695333856539193174433441099866200434115946299221513714137236518465529753 has 123 digits

176077343280428722210294933173471602076330384241286510651480244704067065779074311519434584743655131635262384425494570149205597165806500457976278773<147>

140850378091982090577354915876165350338613087<45>
9786966886270901249855494260133478437860029027<46>
127731302497147884438978142065758231658906688736325985177<57>

Number: n
N=176077343280428722210294933173471602076330384241286510651480244704067065779074311519434584743655131635262384425494570149205597165806500457976278773
  ( 147 digits)
SNFS difficulty: 171 digits.
Divisors found:

Fri May 22 13:03:18 2009  prp45 factor: 140850378091982090577354915876165350338613087
Fri May 22 13:03:18 2009  prp46 factor: 9786966886270901249855494260133478437860029027
Fri May 22 13:03:18 2009  prp57 factor: 127731302497147884438978142065758231658906688736325985177
Fri May 22 13:03:18 2009  elapsed time 01:14:43 (Msieve 1.39 - dependency 2)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 49.74 hours.
Scaled time: 132.30 units (timescale=2.660).
Factorization parameters were as follows:
name: KA_3_5_168_1
n: 176077343280428722210294933173471602076330384241286510651480244704067065779074311519434584743655131635262384425494570149205597165806500457976278773
m: 10000000000000000000000000000000000
deg: 5
c5: 16
c0: -205
skew: 1.67
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2500000, 5261749)
Primes: RFBsize:348513, AFBsize:348852, largePrimes:17302361 encountered
Relations: rels:17224239, finalFF:733473
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1992447 hash collisions in 19178345 relations
Msieve: matrix is 783206 x 783454 (206.8 MB)

Total sieving time: 49.02 hours.
Total relation processing time: 0.72 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5000000,5000000,28,28,56,56,2.4,2.4,100000
total time: 49.74 hours.
 --------- CPU info (if available) ----------

9116809116809116809116809116809116809116809116809116809116809116809116809116809116809116809116809116809116809116809116809116809116809116809116809116809116809116809116809<169>

998043704380098602044869755178934572557337371599512013922099<60>
9134679249814733560138714436517929988836887392421258951330673846471491717924198918470826456585941620511614291<109>

SNFS difficulty: 171 digits.
Divisors found:
 r1=998043704380098602044869755178934572557337371599512013922099 (pp60)
 r2=9134679249814733560138714436517929988836887392421258951330673846471491717924198918470826456585941620511614291 (pp109)
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.950).
Factorization parameters were as follows:
n: 9116809116809116809116809116809116809116809116809116809116809116809116809116809116809116809116809116809116809116809116809116809116809116809116809116809116809116809116809
m: 20000000000000000000000000000000000
deg: 5
c5: 1
c0: -41
skew: 2.10
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [2550000, 4550001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 962406 x 962647
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,54,54,2.5,2.5,200000
total time: 42.00 hours.

Msieve-1.38

Opteron-2.8GHz; Linux x86_64

51472895162412657665397436050098807721908592316317999381208421882056853748722492196537949973218407075869349136768656928328348015206363334966527204699<149>

398243059819026931610797278845172601116229452436728943011437537<63>
129249948977901630027341066758751705902213886712905995236019779628673269832748991037627<87>

N = 51472895162412657665397436050098807721908592316317999381208421882056853748722492196537949973218407075869349136768656928328348015206363334966527204699 (149 digits)
SNFS difficulty: 177 digits.
Divisors found:
r1=398243059819026931610797278845172601116229452436728943011437537 (pp63)
r2=129249948977901630027341066758751705902213886712905995236019779628673269832748991037627 (pp87)
Version: Msieve v. 1.48
Total time: 31.17 hours.
Factorization parameters were as follows:
name: (32*10^174-41)/9
n: 51472895162412657665397436050098807721908592316317999381208421882056853748722492196537949973218407075869349136768656928328348015206363334966527204699
Y0: 200000000000000000000000000000000000
Y1: -1
c0: -410
c1: 0
c2: 0
c3: 0
c4: 0
c5: 1
skew: 3.33
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: 20173363
Relations: 2349918 relations
Pruned matrix : 1341523 x 1341749
Polynomial selection time: 0.00 hours.
Total sieving time: 28.65 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 2.20 hours.
time per square root: 0.21 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: 31.17 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

2577549180543967150192137066454603104408390174631613931894687817090673552436015682819533445495866494083232804210400689288944890737318608798487<142>

106122547389897705385722782997778666889114396910004741333<57>
24288421677949053281947280069131348549505011355562339912080685164162559988358000340539<86>

N = 2577549180543967150192137066454603104408390174631613931894687817090673552436015682819533445495866494083232804210400689288944890737318608798487 (142 digits)
SNFS difficulty: 178 digits.
Divisors found:
r1=106122547389897705385722782997778666889114396910004741333 (pp57)
r2=24288421677949053281947280069131348549505011355562339912080685164162559988358000340539 (pp86)
Version: Msieve v. 1.48
Total time: 35.43 hours.
Factorization parameters were as follows:
name: (32*10^176-41)/9
n: 2577549180543967150192137066454603104408390174631613931894687817090673552436015682819533445495866494083232804210400689288944890737318608798487
Y0: 200000000000000000000000000000000000
Y1: -1
c0: -41
c1: 0
c2: 0
c3: 0
c4: 0
c5: 10
skew: 1.33
type: snfs
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 20571292
Relations: 2542854 relations
Pruned matrix : 1442971 x 1443196
Polynomial selection time: 0.00 hours.
Total sieving time: 32.44 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.66 hours.
time per square root: 0.21 hours.
Prototype def-par.txt line would be: snfs,178,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,55,55,2.5,2.5,100000
total time: 35.43 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

242357873625555011616820375510880350259158618482078274537803763119388387672119022907552345465776189182241780402153687635844539696308627<135>

125024948769124296559864649242229<33>
1938476088265407267608468946830297300218344442829662873259342913111548879306471757099239916369185285863<103>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3121908314
Step 1 took 11952ms
Step 2 took 9541ms
********** Factor found in step 2: 125024948769124296559864649242229
Found probable prime factor of 33 digits: 125024948769124296559864649242229
Probable prime cofactor 1938476088265407267608468946830297300218344442829662873259342913111548879306471757099239916369185285863 has 103 digits

GMP-ECM 6.2.1

1886634450123065348165011511999841185954245202476519366921515350562397095983378900826046680950697251011586442749398746816071858481411331471850293718326580420501<160>

256050432430135091271406941640007254492098072868356519000716196027079127<72>
7368214270201808644261429959282917594297406300328044683833143930180587910078928136936563<88>

N=1886634450123065348165011511999841185954245202476519366921515350562397095983378900826046680950697251011586442749398746816071858481411331471850293718326580420501
  ( 160 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=256050432430135091271406941640007254492098072868356519000716196027079127 (pp72)
 r2=7368214270201808644261429959282917594297406300328044683833143930180587910078928136936563 (pp88)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 102.32 hours.
Scaled time: 193.69 units (timescale=1.893).
Factorization parameters were as follows:
n: 1886634450123065348165011511999841185954245202476519366921515350562397095983378900826046680950697251011586442749398746816071858481411331471850293718326580420501
m: 1000000000000000000000000000000000000
deg: 5
c5: 16
c0: -205
skew: 1.67
# Murphy_E = 9.775e-11
type: snfs
lss: 1
rlim: 7300000
alim: 7300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7300000/7300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3650000, 8850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1333172 x 1333402
Total sieving time: 99.83 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 1.99 hours.
Time per square root: 0.29 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7300000,7300000,28,28,53,53,2.5,2.5,100000
total time: 102.32 hours.
 --------- CPU info (if available) ----------

126736524551892620483473147284986604761260725360576996860581826710322171493155908852628222639019046309474584548464318284016606968020853956484784585156918451624868584620395217<174>

1782454901553614650304098655062208111<37>

71102233465445408409612382583042372098046406252784713936200060362115527942842424757820993742113288336936350920262904289486346645532474047<137>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1778025856
Step 1 took 25039ms
Step 2 took 16297ms
********** Factor found in step 2: 1782454901553614650304098655062208111
Found probable prime factor of 37 digits: 1782454901553614650304098655062208111
Composite cofactor 71102233465445408409612382583042372098046406252784713936200060362115527942842424757820993742113288336936350920262904289486346645532474047 has 137 digits

GMP-ECM 6.2.1

71102233465445408409612382583042372098046406252784713936200060362115527942842424757820993742113288336936350920262904289486346645532474047<137>

68745930245655441416860735443469690343<38>
598783853054498941809960447586519280045119307<45>
1727293622050214086236016176837567804366642356356545947<55>

N=71102233465445408409612382583042372098046406252784713936200060362115527942842424757820993742113288336936350920262904289486346645532474047
  ( 137 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=68745930245655441416860735443469690343 (pp38)
 r2=598783853054498941809960447586519280045119307 (pp45)
 r3=1727293622050214086236016176837567804366642356356545947 (pp55)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 86.89 hours.
Scaled time: 56.83 units (timescale=0.654).
Factorization parameters were as follows:
n: 71102233465445408409612382583042372098046406252784713936200060362115527942842424757820993742113288336936350920262904289486346645532474047
m: 2000000000000000000000000000000000000
deg: 5
c5: 1
c0: -41
skew: 2.10
# Murphy_E = 1.239e-10
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3700000, 8100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1213773 x 1214000
Total sieving time: 84.98 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 1.48 hours.
Time per square root: 0.24 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,100000
total time: 86.89 hours.
 --------- CPU info (if available) ----------

10176847855583913978158131105850316822765201579026992212580612958542924719852845324220220499854327963742180881322020876467664449354137481772708944282107819823106666627231381226279<179>

4168006264942310865821203741779550495998061160548867<52>
2441658483381567360006049923510029539113678553500772114805960561753243102664989406595688432686567222249340919252011139174394637<127>

Number: 6
N=10176847855583913978158131105850316822765201579026992212580612958542924719852845324220220499854327963742180881322020876467664449354137481772708944282107819823106666627231381226279
  ( 179 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=4168006264942310865821203741779550495998061160548867 (pp52)
 r2=2441658483381567360006049923510029539113678553500772114805960561753243102664989406595688432686567222249340919252011139174394637 (pp127)
Version: Msieve-1.40
Total time: 205.93 hours.
Scaled time: 358.12 units (timescale=1.739).
Factorization parameters were as follows:
n: 10176847855583913978158131105850316822765201579026992212580612958542924719852845324220220499854327963742180881322020876467664449354137481772708944282107819823106666627231381226279
m: 2000000000000000000000000000000000000
deg: 5
c5: 10000
c0: -41
skew: 0.33
type: snfs
lss: 1
rlim: 8600000
alim: 8600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8600000/8600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4300000, 7600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1692771 x 1692997
Total sieving time: 200.65 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 4.22 hours.
Time per square root: 0.82 hours.
Prototype def-par.txt line would be:
snfs,185.000,5,0,0,0,0,0,0,0,0,8600000,8600000,28,28,54,54,2.5,2.5,100000
total time: 205.93 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

119812398488054643088802491682378346555526674221984627542385538764306958647863847688254538410523183532181214161323989115105979178082368078520566938160539077130051135227<168>

1608339809152205055322478744505364550860104313356184791633689321440827343<73>
74494455590955412553842461721029954259054093485684245878328726468556941981287757297487828851989<95>

Number: 35551_185
N=119812398488054643088802491682378346555526674221984627542385538764306958647863847688254538410523183532181214161323989115105979178082368078520566938160539077130051135227
  ( 168 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=1608339809152205055322478744505364550860104313356184791633689321440827343
 r2=74494455590955412553842461721029954259054093485684245878328726468556941981287757297487828851989
Version: 
Total time: 57.09 hours.
Scaled time: 299.93 units (timescale=5.254).
Factorization parameters were as follows:
n: 119812398488054643088802491682378346555526674221984627542385538764306958647863847688254538410523183532181214161323989115105979178082368078520566938160539077130051135227
m: 20000000000000000000000000000000000000
deg: 5
c5: 1
c0: -41
skew: 2.10
# Murphy_E = 7.759e-11
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5

Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 6700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 19849582
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1531289 x 1531537
Total sieving time: 52.87 hours.
Total relation processing time: 1.31 hours.
Matrix solve time: 2.82 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 57.09 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.70 BogoMIPS (lpj=3399852)
Total of 12 processors activated (81596.44 BogoMIPS).

GGNFS / Msieve v1.39

Core i7-4930K

2691586654416919354083464571313558969547245601385958529058996156103042785722206068496691573179661230679380948190969048831042654305487666590604110054503536294864260046702561161617473<181>

827294513452956265618762024603598903<36>
3253480605332184680921640377891870384597854099985062122053939956180523797724675112907904366651740113627813901481730040593855626571502160884709191<145>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3710936791
Step 1 took 28301ms
Step 2 took 18753ms
********** Factor found in step 2: 827294513452956265618762024603598903
Found probable prime factor of 36 digits: 827294513452956265618762024603598903
Probable prime cofactor 3253480605332184680921640377891870384597854099985062122053939956180523797724675112907904366651740113627813901481730040593855626571502160884709191 has 145 digits

GMP-ECM 6.2.1

10689191651450009448437696061546982212129350245025331350683502905032049805478358151586676581008668820925348033338071486700528500150462014561357995830656156845213242026703<170>

2577634789889002293771388505180441779571431663<46>
4146899201306289688829019585685806242337680660849443740098338618537840822732365840114765777764949758991760852587154451074081<124>

10689191651450009448437696061546982212129350245025331350683502905032049805478358151586676581008668820925348033338071486700528500150462014561357995830656156845213242026703=2577634789889002293771388505180441779571431663*4146899201306289688829019585685806242337680660849443740098338618537840822732365840114765777764949758991760852587154451074081

n: 10689191651450009448437696061546982212129350245025331350683502905032049805478358151586676581008668820925348033338071486700528500150462014561357995830656156845213242026703
skew: 1.67
type: snfs
c0: -205
c5: 16
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 16*x^5-205
# g(x) = -x+100000000000000000000000000000000000000

Info:Square Root: Factors: 4146899201306289688829019585685806242337680660849443740098338618537840822732365840114765777764949758991760852587154451074081 2577634789889002293771388505180441779571431663
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: 4.75/2.04137
Info:Generate Free Relations: Total cpu/real time for freerel: 98.73/25.4243
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25414627
Info:Lattice Sieving: Average J: 1893.92 for 2101578 special-q, max bucket fill -bkmult 1.0,1s:1.116860
Info:Lattice Sieving: Total time: 502110s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 50.84/111.191
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 110.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 417.55/385.365
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 331.2s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 332.83/346.198
Info:Filtering - Merging: Total cpu/real time for merge: 289.26/82.9831
Info:Filtering - Merging: Total cpu/real time for replay: 76.47/65.5695
Info:Linear Algebra: Total cpu/real time for bwc: 68232.4/17603.3
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 11149.83, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (62464 iterations)
Info:Linear Algebra: Lingen CPU time 408.48, WCT time 118.04
Info:Linear Algebra: Mksol: WCT time 6197.33, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (31232 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 71.04/29.7088
Info:Square Root: Total cpu/real time for sqrt: 930.58/286.917
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 998914/269989
Info:root: Cleaning up computation data in /tmp/cado.z4irn5p7
4146899201306289688829019585685806242337680660849443740098338618537840822732365840114765777764949758991760852587154451074081 2577634789889002293771388505180441779571431663

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)

2078530729741953577539790809814630100361736066285341915739195470111817154475329453748352228897360853632187633873719310606314758467399064218686799253893776907464261221295682539<175>

2873677163351112782621801599077930081976585221959178445739593<61>
723300013046035295819627167459971006677294213882216899608021661996958720554399944818626706499804463829651207858323<114>

Wed Mar 04 13:41:59 2020 -> factmsieve.py (v0.86)
------------------------------------------------------------------------------------------------
-----------------------------------------------------------------------------------------------
-------------------------------------------------------------------------------------------------
Fri Mar  6 03:11:57 2020  Msieve v. 1.54 (SVN Unversioned directory)
Fri Mar  6 03:11:57 2020  random seeds: 37a0743c a191c74c
Fri Mar  6 03:11:57 2020  factoring 2078530729741953577539790809814630100361736066285341915739195470111817154475329453748352228897360853632187633873719310606314758467399064218686799253893776907464261221295682539 (175 digits)
Fri Mar  6 03:11:58 2020  searching for 15-digit factors
Fri Mar  6 03:11:59 2020  commencing number field sieve (175-digit input)
Fri Mar  6 03:11:59 2020  R0: -200000000000000000000000000000000000000
Fri Mar  6 03:11:59 2020  R1: 1
Fri Mar  6 03:11:59 2020  A0: -41
Fri Mar  6 03:11:59 2020  A1: 0
Fri Mar  6 03:11:59 2020  A2: 0
Fri Mar  6 03:11:59 2020  A3: 0
Fri Mar  6 03:11:59 2020  A4: 0
Fri Mar  6 03:11:59 2020  A5: 10
Fri Mar  6 03:11:59 2020  skew 1.33, size 2.035e-13, alpha 0.978, combined = 3.090e-11 rroots = 1
Fri Mar  6 03:11:59 2020  
Fri Mar  6 03:11:59 2020  commencing square root phase
Fri Mar  6 03:11:59 2020  reading relations for dependency 1
Fri Mar  6 03:11:59 2020  read 894577 cycles
Fri Mar  6 03:12:01 2020  cycles contain 2921160 unique relations
Fri Mar  6 03:12:15 2020  read 2921160 relations
Fri Mar  6 03:12:29 2020  multiplying 2921160 relations
Fri Mar  6 03:15:06 2020  multiply complete, coefficients have about 76.70 million bits
Fri Mar  6 03:15:07 2020  initial square root is modulo 320081
Fri Mar  6 03:18:30 2020  sqrtTime: 391
Fri Mar  6 03:18:30 2020  p61 factor: 2873677163351112782621801599077930081976585221959178445739593
Fri Mar  6 03:18:30 2020  p114 factor: 723300013046035295819627167459971006677294213882216899608021661996958720554399944818626706499804463829651207858323

22337215591217995171257163497242287281421331745583076417177883428491743786040042148475670516229021030915939282120087241919644648089042737235128033571058839178934644377545489<173>

1705315778707777982340835836350254362298853890556055096519077<61>
13098580257167542881497700775817691486577894407793869069135002359139974347440115345954924689778299063058823055357<113>

22337215591217995171257163497242287281421331745583076417177883428491743786040042148475670516229021030915939282120087241919644648089042737235128033571058839178934644377545489=1705315778707777982340835836350254362298853890556055096519077*13098580257167542881497700775817691486577894407793869069135002359139974347440115345954924689778299063058823055357

cado polynomial
n: 22337215591217995171257163497242287281421331745583076417177883428491743786040042148475670516229021030915939282120087241919644648089042737235128033571058839178934644377545489
skew: 0.84
type: snfs
c0: -41
c5: 100
Y0: 200000000000000000000000000000000000000
Y1: -1
# f(x) = 100*x^5-41
# g(x) = -x+200000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 11800000
tasks.lim1 = 11800000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 13098580257167542881497700775817691486577894407793869069135002359139974347440115345954924689778299063058823055357 1705315778707777982340835836350254362298853890556055096519077
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: 5.07/2.05647
Info:Generate Free Relations: Total cpu/real time for freerel: 102.37/26.3926
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 29030957
Info:Lattice Sieving: Average J: 1893.67 for 3250386 special-q, max bucket fill -bkmult 1.0,1s:1.123110
Info:Lattice Sieving: Total time: 816725s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 54.94/144.003
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 142.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 475.19/426.787
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 363.2s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 409.9/456.764
Info:Filtering - Merging: Merged matrix has 2509995 rows and total weight 427296962 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 354.32/102.003
Info:Filtering - Merging: Total cpu/real time for replay: 96.16/82.7624
Info:Linear Algebra: Total cpu/real time for bwc: 110149/28171.3
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 17965.28, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (78848 iterations)
Info:Linear Algebra: Lingen CPU time 512.27, WCT time 148.25
Info:Linear Algebra: Mksol: WCT time 9805.56, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (39424 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 87.63/37.553
Info:Square Root: Total cpu/real time for sqrt: 690.29/216.659
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.63084e+06/61222.1
Info:root: Cleaning up computation data in /tmp/cado.79nttt_k
13098580257167542881497700775817691486577894407793869069135002359139974347440115345954924689778299063058823055357 1705315778707777982340835836350254362298853890556055096519077

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)

3388289144214164194513495352248356504358590825291909179705355787030616297465265543839592981366091857308108833825305406640856246555672907<136>

10833599953333206062513961588376283<35>
312757454475848459879503203836292897307277646250554042188313990627705705745444626647351015419658382929<102>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2633261084
Step 1 took 18932ms
Step 2 took 13679ms
********** Factor found in step 2: 10833599953333206062513961588376283
Found probable prime factor of 35 digits: 10833599953333206062513961588376283
Probable prime cofactor 312757454475848459879503203836292897307277646250554042188313990627705705745444626647351015419658382929 has 102 digits

GMP-ECM 6.2.1

31865507768735611335350182975380267559751693248689024879125639862756811483559447839699360246457237408192995072942243435568726486049722334869281677497040762320693273236419629347563457372979<188>

173690665906082128758412635894085027453199<42>
183461256265583678394791427302892111696335616687226930430156545818016288610654424891212645333241466206086605713656441639134973341751155969878584221<147>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=751017120
Step 1 took 6068ms
********** Factor found in step 1: 173690665906082128758412635894085027453199
Found probable prime factor of 42 digits: 173690665906082128758412635894085027453199
Probable prime cofactor 183461256265583678394791427302892111696335616687226930430156545818016288610654424891212645333241466206086605713656441639134973341751155969878584221 has 147 digits

GMP-ECM 6.2.3

104313501071886432014065048962810739114734049435162408508798429751325035150408811546896765895183088533985744637142526888305485731680702211<138>

2621005805007976677279163475247999795539713<43>
39799034734136717395774185493040870102947697545992386055866170111726118412127304962406603538947<95>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=983927123
Step 1 took 18737ms
Step 2 took 14050ms
********** Factor found in step 2: 2621005805007976677279163475247999795539713
Found probable prime factor of 43 digits: 2621005805007976677279163475247999795539713
Probable prime cofactor 39799034734136717395774185493040870102947697545992386055866170111726118412127304962406603538947 has 95 digits

GMP-ECM 6.2.1

13021705509957449048184102551667074523446256759110289387511222543052818897794134790197191721597198781825067717675260820790645085499406930578011419<146>

25381539827219968939889818942099<32>
513038436540897283961126919502212025962143546345330531503056737906022207414185764428308211340282304133292693358681<114>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2785240796
Step 1 took 83890ms
Step 2 took 28611ms
********** Factor found in step 2: 25381539827219968939889818942099
Found probable prime factor of 32 digits: 25381539827219968939889818942099
Probable prime cofactor 513038436540897283961126919502212025962143546345330531503056737906022207414185764428308211340282304133292693358681 has 114 digits

GMP-ECM 6.2.1

17135539313918892241837837192061367434610257234457026053559821290415117828327616827161308282443951052716992427478035690435206836517383687369969030294436595317220207037833376001158948971147<188>

118864148303275244074462379613626047253516437587578399<54>
144160704119113523736083391114836662132585531159868880464352364911067041114081742713109140595310165251808666613955701531764292658284053<135>

N=17135539313918892241837837192061367434610257234457026053559821290415117828327616827161308282443951052716992427478035690435206836517383687369969030294436595317220207037833376001158948971147
  ( 188 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=118864148303275244074462379613626047253516437587578399 (pp54)
 r2=144160704119113523736083391114836662132585531159868880464352364911067041114081742713109140595310165251808666613955701531764292658284053 (pp135)
Version: Msieve v. 1.49
Total time:
Scaled time: 110.92 units (timescale=1.005).
Factorization parameters were as follows:
n: 17135539313918892241837837192061367434610257234457026053559821290415117828327616827161308282443951052716992427478035690435206836517383687369969030294436595317220207037833376001158948971147
m: 2000000000000000000000000000000000000000
deg: 5
c5: 10000
c0: -41
skew: 0.33
type: snfs
lss: 1
rlim: 15400000
alim: 15400000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 320000
Factor base limits: 15400000/15400000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [7700000, 16980001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3054732 x 3054961
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,200.000,5,0,0,0,0,0,0,0,0,15400000,15400000,29,29,56,56,2.6,2.6,100000
total time:

176237223741001950317814911222913947974955500232674936349667348774811602998411361008132736503877375531366576209481182960344591742093377086135600501335633<153>

9669671262851918345772365671<28>
6731258125992126930464828994191341<34>
35869297964137395978056915833924717<35>
75486069289506485196010053653191738313664480847271627759<56>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=446330273
Step 1 took 21388ms
Step 2 took 12901ms
********** Factor found in step 2: 9669671262851918345772365671
Found probable prime factor of 28 digits: 9669671262851918345772365671
Composite cofactor 18225771998894566017366677060927624579136738284209084428891597873283571049551321413500212479691052939338804608844119065721223 has 125 digits

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3184466193
Step 1 took 17799ms
Step 2 took 10452ms
********** Factor found in step 2: 35869297964137395978056915833924717
Found probable prime factor of 35 digits: 35869297964137395978056915833924717
Composite cofactor 508116217304195267932888355270639897740864945698992247153298968286083863675756244973034819 has 90 digits

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2684505188
Step 1 took 12168ms
Step 2 took 7894ms
********** Factor found in step 2: 6731258125992126930464828994191341
Found probable prime factor of 34 digits: 6731258125992126930464828994191341
Probable prime cofactor 75486069289506485196010053653191738313664480847271627759 has 56 digits

GMP-ECM 6.3

124041569205482088894853313167988202665280496683871986457484613906081202038015287698952661745493496229120493371245408915475727499757750786545761774008217589487266545719483099<174>

8471362294288735548241288925048570413339240152861072858476165401692321449<73>
14642458307928707111875683185120621286105424834015023788773055376870702781705019067030736962072570851<101>

Number: n
N=124041569205482088894853313167988202665280496683871986457484613906081202038015287698952661745493496229120493371245408915475727499757750786545761774008217589487266545719483099  ( 174 digits)
SNFS difficulty: 203 digits.
Divisors found:

Sat Nov 20 14:35:04 2021  p73 factor: 8471362294288735548241288925048570413339240152861072858476165401692321449
Sat Nov 20 14:35:04 2021  p101 factor: 14642458307928707111875683185120621286105424834015023788773055376870702781705019067030736962072570851
Sat Nov 20 14:35:04 2021  elapsed time 01:57:15 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.352).
Factorization parameters were as follows:
#
# N = 32x10^202-41 = 35(201)1
#
n: 124041569205482088894853313167988202665280496683871986457484613906081202038015287698952661745493496229120493371245408915475727499757750786545761774008217589487266545719483099
m: 20000000000000000000000000000000000000000
deg: 5
c5: 100
c0: -41
skew: 0.84
# Murphy_E = 1.052e-11
type: snfs
lss: 1
rlim: 17300000
alim: 17300000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17300000/17300000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10254056 hash collisions in 65671346 relations (57812687 unique)
Msieve: matrix is 2235682 x 2235908 (767.2 MB)

Sieving start time : 2021/11/19 23:16:06
Sieving end time  : 2021/11/20 12:36:36

Total sieving time: 13hrs 20min 30secs.

Total relation processing time: 1hrs 35min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 13sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17300000,17300000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117806] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239948K/16727236K available (14339K kernel code, 2400K rwdata, 5020K rodata, 2736K init, 4964K bss, 487288K reserved, 0K cma-reserved)
[    0.152615] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798284)
[    0.150213] smpboot: Total of 16 processors activated (102386.27 BogoMIPS)

59891966943390175341010848534861479390395690007706570181848333252978014562462421536500719655020203026211172428217722127510894825479491970956487010851263022758767223<164>

354102979541164110880003592212481<33>
169137144852597308225618316511538561476577202292669595418051665587776733341784913636767253699943916968786779942651786094067252427383<132>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4180862736
Step 1 took 24856ms
Step 2 took 16720ms
********** Factor found in step 2: 354102979541164110880003592212481
Found probable prime factor of 33 digits: 354102979541164110880003592212481
Probable prime cofactor 169137144852597308225618316511538561476577202292669595418051665587776733341784913636767253699943916968786779942651786094067252427383 has 132 digits

GMP-ECM 6.2.1

56438285616526540985659384364125709226425110804227933071248044501588208631177567192424571113121725036199869133725226679083089502302505683511731226774322696480191043596811942341236457016072565525731449<200>

14248427654041308826650517475730475139675651291<47>
39913387700709211382964131171098547802886843448472175066153267<62>
99240348514737227891488012650045657725921855844817056668365570013539644495922325704459609817<92>

Number: n
N=56438285616526540985659384364125709226425110804227933071248044501588208631177567192424571113121725036199869133725226679083089502302505683511731226774322696480191043596811942341236457016072565525731449
  ( 200 digits)
SNFS difficulty: 206 digits.
Divisors found:

Sun Dec 07 04:22:58 2008  prp47 factor: 14248427654041308826650517475730475139675651291
Sun Dec 07 04:22:58 2008  prp62 factor: 39913387700709211382964131171098547802886843448472175066153267
Sun Dec 07 04:22:58 2008  prp92 factor: 99240348514737227891488012650045657725921855844817056668365570013539644495922325704459609817
Sun Dec 07 04:22:59 2008  elapsed time 28:19:21 (Msieve 1.39 - dependency 5)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 153.01 hours.
Scaled time: 312.90 units (timescale=2.045).
Factorization parameters were as follows:
name: KA_3_5_203_1
n: 56438285616526540985659384364125709226425110804227933071248044501588208631177567192424571113121725036199869133725226679083089502302505683511731226774322696480191043596811942341236457016072565525731449
type: snfs
skew: 3.33
deg: 5
c5: 1
c0: -410
m: 200000000000000000000000000000000000000000
rlim: 10000000
alim: 10000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 25400001)
Primes: RFBsize:664579, AFBsize:665006, largePrimes:36354193 encountered
Relations: rels:27543760, finalFF:133156
Max relations in full relation-set: 28

Msieve: found 9558761 hash collisions in 45411678 relations
Msieve: matrix is 2874359 x 2874607 (781.1 MB)

Initial matrix: 
Pruned matrix : 
Total sieving time: 150.52 hours.
Total relation processing time: 2.49 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,10000000,10000000,29,29,58,58,2.5,2.5,100000
total time: 153.01 hours.
 --------- CPU info (if available) ----------

143100219432359990259774429247332332575294567499484861388133244070405946451962483467893127605011780720664711988283203334637101791951699036237643184950973195391183121221613545291<177>

504095780030821510766486387252850614935953773<45>
283875059266734056103877370806869829179499637366612148956493080898546094650515680668492885560518806854364098451538708245626755772567<132>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=3421781296
Step 1 took 58387ms
Step 2 took 30112ms
********** Factor found in step 2: 504095780030821510766486387252850614935953773
Found probable prime factor of 45 digits: 504095780030821510766486387252850614935953773
Probable prime cofactor

3553659697422181141550180707443793269395985014269547271560605571365869985872971018215605563863708543612388601681857070758398707143594219866160741619672771087073034317<166>

597948495519619180339697497217306770993687729773803618974401235592805262055814535327668968948122103512023740841077972446374673064163738202683668096799537389<156>

91670216917237399700835344831257975760691305131<47>
6522821867646117597761809861051260898867550640761859384410971149180203073395527914302954398221695729012062919<109>

#
# N = 32x10^208-41 = 35(207)1
#
n: 597948495519619180339697497217306770993687729773803618974401235592805262055814535327668968948122103512023740841077972446374673064163738202683668096799537389
m: 200000000000000000000000000000000000000000
deg: 5
c5: 1000
c0: -41
skew: 0.53
# Murphy_E = 5.949e-12
type: snfs
lss: 1
rlim: 22000000
alim: 22000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 597948495519619180339697497217306770993687729773803618974401235592805262055814535327668968948122103512023740841077972446374673064163738202683668096799537389 (156 digits)
Using B1=44030000, B2=240491351116, polynomial Dickson(12), sigma=1:2498978323
Step 1 took 104829ms
Step 2 took 35570ms
********** Factor found in step 2: 91670216917237399700835344831257975760691305131
Found prime factor of 47 digits: 91670216917237399700835344831257975760691305131
Prime cofactor 6522821867646117597761809861051260898867550640761859384410971149180203073395527914302954398221695729012062919 has 109 digits

6847946244106680683311867340687631517007053792875810644205775981779457300076334852155353394302849448861504411760152220434420953232480285091498826240501740785625855342335401822947929<181>

128439553485958538033296999264803629255212100263<48>
53316490584462535974571701405092897234045665437641876524597080021757955676662454764951140949395422428976806961976917626697535016534783<134>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1410950226
Step 1 took 22972ms
Step 2 took 8917ms
********** Factor found in step 2: 128439553485958538033296999264803629255212100263
Found probable prime factor of 48 digits: 128439553485958538033296999264803629255212100263

1728212945709287495572077730689753632236518823672575710319890945966943874033564515682786981811827274563755701433534342390392511695489409790626890345101466376113883569<166>

95103618126090226530916718735503461766729637599724822948077504920105015015063745504344062130973633179017602257291722485566061469421361338857546813196530959981025024614983624386909058004985592066961<197>

8510040526926193497888613639910655685259<40>

11175460072743205650349701808023959960180515759481429218420753188970103066534471029961208319566812803422342837609638557618285978825879165930567226488613978579<158>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3192644790
Step 1 took 26812ms
********** Factor found in step 1: 8510040526926193497888613639910655685259
Found probable prime factor of 40 digits: 8510040526926193497888613639910655685259

11175460072743205650349701808023959960180515759481429218420753188970103066534471029961208319566812803422342837609638557618285978825879165930567226488613978579<158>

13856658527083259444889964835320800143917<41>
806504688767528616003525733536824575834539721968585440513480925978860612662617878204379307020944236671714049951423487<117>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=665539441
Step 1 took 62105ms
Step 2 took 21302ms
********** Factor found in step 2: 13856658527083259444889964835320800143917
Found probable prime factor of 41 digits: 13856658527083259444889964835320800143917

363555833267302875231588588958287320832132764878937968658993050714840564756445701762403295922463038677557379630076916733043363105619857078012306137013517<153>

496966596620352906159995185436266867<36>
731549838036767781480037159031529021206776161372058111256231915238014707723599142937614480512787039322717773380269951<117>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=102658214
Step 1 took 16545ms
Step 2 took 7322ms
********** Factor found in step 2: 496966596620352906159995185436266867
Found probable prime factor of 36 digits: 496966596620352906159995185436266867

6367566328128111461949705156920936450729931823233795118666324575432226597715216073563002969007471797583493844424066429454272755407062652057177359872918353329029754949779561113647100897<184>

1893152441414976952823331267940766370930466653695488851429872031794516333496972213805439926304653992377543098291772456705380256609796564731422765709128251214274534177816691269478293608206268058427317821<202>

36937159374497061406796482230365777936370664519492910914811820393275181441825845900512034739331016914398645335981417529776834258172795341641640240700730307685834131655595768168489<179>

248559843035664825958527255100723136229900761354249440748791995535007924142704646100238777132311779955734261520513697822546443558370869298463353841870802634123647036363779350684363553473503231<192>

58238535666519579806504174992262485315547643718447459470063242054538362639255458305888250438428708928188225779677976583892497243458883367498026939590507031752039351104693665551<176>

128673108223920709473800869111304785255462243<45>
4279251267812188031576985816046612055004068473<46>
105768139924251569916559533873482304791045655012311712453022616687265105537557028824909<87>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2047183978
Step 1 took 75618ms
Step 2 took 27124ms
********** Factor found in step 2: 4279251267812188031576985816046612055004068473
Found probable prime factor of 46 digits: 4279251267812188031576985816046612055004068473

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=479279418
Step 1 took 40688ms
Step 2 took 17736ms
********** Factor found in step 2: 128673108223920709473800869111304785255462243
Found probable prime factor of 45 digits: 128673108223920709473800869111304785255462243

1317564250734007754031563086288524547996999950484430656917474425982020065576420101491408762516216105577111979334223130930327666994785993317469284273654980139192886972627399957591110216019<187>

2497443544776339104404740138309148264448725951642974304925170249024540958804983818204653503064789747848686396462004920523022232536333616000075528133774830128413857928419490213174614067004899649203<196>

6189466912311116502014039548727270197<37>
403498973362118833675422935029305139443708401223204671087455149092561569004427040349244645038166302483049857763667472215771478204374503508282892250180545040199<159>

Run 148 out of 151:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2898420316
Step 1 took 68866ms
Step 2 took 20685ms
********** Factor found in step 2: 6189466912311116502014039548727270197
Found probable prime factor of 37 digits: 6189466912311116502014039548727270197
Probable prime cofactor 403498973362118833675422935029305139443708401223204671087455149092561569004427040349244645038166302483049857763667472215771478204374503508282892250180545040199 has 159 digits

GMP-ECM 6.4.4

Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

6672087737953754091866308041950751652384228852609411813765351014365838910781676779049644502825212151539792748274639811513521402806446904776797814891265820145534913784116261128833844165050770417630991847542795187756719<217>

258281085818216672237523444600614569<36>
25832661020519718494355394381003778519280567759329793924211225146631925705003544618120319677968007143079679995208394153382441564592635246829884109994014002892373636809398734881747351<182>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1863376843
Step 1 took 30763ms
Step 2 took 11078ms
********** Factor found in step 2: 258281085818216672237523444600614569
Found probable prime factor of 36 digits: 258281085818216672237523444600614569

6090326660249865824455749209426903734169953217922016732979193024486943742295924353284617598511057615207336673478166455284583094047771611271054248939764514012623156933072470472478047311003<187>

226862783427403557470633449307701<33>
26845860604539306470179902984840143455915491859464340011155578661758069631277247323887656862434562644532296877280587314862016645078985488756062094833557903<155>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1194649530
Step 1 took 23159ms
Step 2 took 9228ms
********** Factor found in step 2: 226862783427403557470633449307701
Found probable prime factor of 33 digits: 226862783427403557470633449307701

30133984553356330541455128953890889320122905888526500519870038029382894321818611214639051458394520734088690180081192355146006964256660827983562986855588738211540330256507398215381408363<185>

167928449286845039090084425070603702208479074686197522361000483148786402147<75>
179445380942470999839204995425564684038990912352272099824245739061887277408372670751856867196932749289372266329<111>

Number: 35551_222
N = 30133984553356330541455128953890889320122905888526500519870038029382894321818611214639051458394520734088690180081192355146006964256660827983562986855588738211540330256507398215381408363 (185 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=167928449286845039090084425070603702208479074686197522361000483148786402147 (pp75)
r2=179445380942470999839204995425564684038990912352272099824245739061887277408372670751856867196932749289372266329 (pp111)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 46.50 hours.
Factorization parameters were as follows:
n: 30133984553356330541455128953890889320122905888526500519870038029382894321818611214639051458394520734088690180081192355146006964256660827983562986855588738211540330256507398215381408363
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 3200
c0: -41
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: 36739376
Relations: 8195988 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 25.84 hours.
Total relation processing time: 0.31 hours.
Pruned matrix : 7250124 x 7250349
Matrix solve time: 20.03 hours.
time per square root: 0.31 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: 46.50 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

38534169136601940030791350170888712730387334331972430899147407695771976021945758780772686762628405555692496910362065162958326509825426661448406514492743221718395360286064085814126661010234874901026123505099929<209>

45583690525732963705138077918085541248837021526989738563999308670677470669<74>
845349919942278065940609368783381118176979183440504482486717888659100401158747458885499709103544098958737761116930825951184623273772541<135>

Number: n
N=38534169136601940030791350170888712730387334331972430899147407695771976021945758780772686762628405555692496910362065162958326509825426661448406514492743221718395360286064085814126661010234874901026123505099929   ( 209 digits)
SNFS difficulty: 224 digits.
Divisors found:

Sat May 23 09:45:01 2020  p74 factor: 45583690525732963705138077918085541248837021526989738563999308670677470669
Sat May 23 09:45:01 2020  p135 factor: 845349919942278065940609368783381118176979183440504482486717888659100401158747458885499709103544098958737761116930825951184623273772541
Sat May 23 09:45:01 2020  elapsed time 13:29:47 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.122).
Factorization parameters were as follows:
#
# N = 32x10^223-41 = 35(222)1
#
n: 38534169136601940030791350170888712730387334331972430899147407695771976021945758780772686762628405555692496910362065162958326509825426661448406514492743221718395360286064085814126661010234874901026123505099929
m: 20000000000000000000000000000000000000
deg: 6
c6: 5
c0: -41
skew: 1.42
# Murphy_E = 2.102e-12
type: snfs
lss: 1
rlim: 39000000
alim: 39000000
lpbr: 29
lpba: 29
mfbr: 59
mfba: 59
rlambda: 2.6
alambda: 2.6
Factor base limits: 39000000/39000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 59/59
Sieved  special-q in [100000, 102700000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 10058292 hash collisions in 59007615 relations (51065334 unique)
Msieve: matrix is 5281131 x 5281357 (1853.9 MB)

Sieving start time: 2020/05/20 16:26:51
Sieving end time  : 2020/05/22 20:14:13

Total sieving time: 51hrs 47min 22secs.

Total relation processing time: 13hrs 0min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 50sec.

Prototype def-par.txt line would be:
snfs,224,6,0,0,0,0,0,0,0,0,39000000,39000000,29,29,59,59,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149449] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283224K/16703460K available (12300K kernel code, 2481K rwdata, 4268K rodata, 2432K init, 2712K bss, 420236K reserved, 0K cma-reserved)
[    0.184573] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.29 BogoMIPS (lpj=11976580)
[    0.182230] smpboot: Total of 16 processors activated (95812.64 BogoMIPS)

14435207041193063672504266501377730303710468425077577367350200979863729377490005016558818119359215497976594112725893522259054973960294094778608824987938455969747992077157523729794770957617050219<194>

2174315388828953167946784636583057<34>

6638966506587438710145398340416763707858547024517418715774097399456122634356561529579191783013244072820367039784401114873873542246286739353478295840525869182267<160>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=456772845
Step 1 took 27676ms
********** Factor found in step 1: 2174315388828953167946784636583057
Found probable prime factor of 34 digits: 2174315388828953167946784636583057

501151972576927125690168762704801939355426534568129533496354255932876434044339276100565743972393878135276223008866507097188978180246051149244196979387841990579905391512871237388331391500310737079442894111562079274027<216>

21666285531830231133275784594916621522743654348351470274155949712575932921459204295087916878201697861306902899658052709906116239869818709810727084897326294480959393333546272303255029205365534479<194>

59015843949075492813072625003386140753508075282130875746292581300866998586961473634055274218698006802924927086644154189398180289513219449953354405074163091757962822852738964917<176>

201621346377251576673080542868004871031<39>

292706328022686492055887018802965197731608846014497836330676131046610894720508759277007780614229616692043642356732688007992552745184166707<138>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3044797730
Step 1 took 98184ms
Step 2 took 32795ms
********** Factor found in step 2: 201621346377251576673080542868004871031
Found probable prime factor of 39 digits: 201621346377251576673080542868004871031

292706328022686492055887018802965197731608846014497836330676131046610894720508759277007780614229616692043642356732688007992552745184166707<138>

28518104294086746463539403805835872063970211<44>
10263877465494065177976013665172683011577786437386657483978208446285658901654393368621312389937<95>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=862973936
Step 1 took 36330ms
Step 2 took 15341ms
********** Factor found in step 2: 28518104294086746463539403805835872063970211
Found probable prime factor of 44 digits: 28518104294086746463539403805835872063970211
Probable prime cofactor

802357526284134562793813376154894373408844830289875573417048294321710657981031118963608818620039174648536082375533119308731083725524809026796016197528715186886462601066339626717590362228733112214197236217130428203<213>

5399711952946941640810172101800251<34>

148592653325931707373604459334572135231025984983210144649453845358104024366179908216245556462921276135179691418427613735278449570952383083675637253728325302403705102914945155039953<180>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=427114332
Step 1 took 30839ms
Step 2 took 11128ms
********** Factor found in step 2: 5399711952946941640810172101800251
Found probable prime factor of 34 digits: 5399711952946941640810172101800251

81097451259164645566123567172765448430891032902756553054206043280696018875431780570571255515260259461158122289887908116587723366456573581998393256746927800459721176825389584552962971410614135792613542767501210126030507847445557<227>

539224688129767308029802373284028340354507942120689975800757892950659942236615690869186638829429270835133084760297567149808140559694646833381281965536556565292232813304307111697876871<183>

2037274031631454091629225679033997297163367095689157796033435320382301432817838753418351562006009001357988516418422599136841765003657749732829595489867757951711829013364108713953389653276138788326439003599279811379001948793<223>

25539457673030325932698747355698591333399<41>
79769666909678196050358288440097543247856218171958763771979587652156534122093561484145746753237747431946422668620514562494969327098962790547581389308058465762433717735530900896385007<182>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3259487713
Step 1 took 30550ms
Step 2 took 11384ms
********** Factor found in step 2: 25539457673030325932698747355698591333399
Found probable prime factor of 41 digits: 25539457673030325932698747355698591333399

115958956472305323121262882904174671005415971773560712902619009129992200673062020539157690809285167026737345100123492664925615409582797430827855269162299090689724235469011037879406381460540018686061092034050912722005686989597140829<231>

16931216931216931216931216931216931216931216931216931216931216931216931216931216931216931216931216931216931216931216931216931216931216931216931216931216931216931216931216931216931216931216931216931216931216931216931216931216931216931216931<239>

152944165103269209020093961094625276282055063583868457582175290903029894109508090473747325442594317399345108543241145234130106317761354861746994016479324750945581079484839551626892818737372379766455381<201>

1627129951242034054812923276246495950226094791506178263272676979619688882583760327826006926488811193433717081762771571802448118707265592862594468876817618563112048744745514333235197058149048154402428898234716546335321991220616956829700003<238>

10563699547582617591385281990829853<35>

154030313330369588621173139999027672427075458256116763367360498865215956542350622294697545307697607626113054593845863438269687651245876306280333244296098904242733535768239766894298104857641109874549167551<204>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=67843005
Step 1 took 35035ms
Step 2 took 12235ms
********** Factor found in step 2: 10563699547582617591385281990829853
Found probable prime factor of 35 digits: 10563699547582617591385281990829853

363780254638325367943411860461178883919925833028264170818067562524865495192067678610850761625820529039498943116450647767766506859522997053334771837324580074400206035650657007794069179353300950194612847779761112614363099386302390980609<234>

2990247510903236643186453839763947<34>
479584301289329896651208715745922348029<39>

253668783737700455657786270929101021038480617986343887863537642883247325568713325952872737909148943757055876279881732613853424454596271327031578703425930742378943<162>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=245200887
Step 1 took 34955ms
Step 2 took 12255ms
********** Factor found in step 2: 2990247510903236643186453839763947
Found probable prime factor of 34 digits: 2990247510903236643186453839763947

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2298618975
Step 1 took 26706ms
Step 2 took 9962ms
********** Factor found in step 2: 479584301289329896651208715745922348029
Found probable prime factor of 39 digits: 479584301289329896651208715745922348029