1549352512275633183368088459353775952136320751322520942606357553923121412953602781723691949<91>

57847164065344667246749592041001<32>
26783551748975471064496580057189581449979924547068814782949<59>

Number: n
N=1549352512275633183368088459353775952136320751322520942606357553923121412953602781723691949
  ( 91 digits)
SNFS difficulty: 107 digits.
Divisors found:
 r1=57847164065344667246749592041001 (pp32)
 r2=26783551748975471064496580057189581449979924547068814782949 (pp59)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 0.65 hours.
Scaled time: 1.18 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_4_3_105_1
n: 1549352512275633183368088459353775952136320751322520942606357553923121412953602781723691949
type: snfs
skew: 0.56
deg: 5
c5: 130
c0: -7
m: 1000000000000000000000
rlim: 450000
alim: 450000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 2000
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 [225000, 271001)
Primes: RFBsize:37706, AFBsize:37704, largePrimes:4143192 encountered
Relations: rels:3498691, finalFF:97136
Max relations in full relation-set: 48
Initial matrix: 75477 x 97136 with sparse part having weight 10956977.
Pruned matrix : 70519 x 70960 with weight 5601496.
Total sieving time: 0.56 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.02 hours.
Total square root time: 0.01 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,107,5,0,0,0,0,0,0,0,0,450000,450000,28,28,56,56,2.5,2.5,50000
total time: 0.65 hours.
 --------- CPU info (if available) ----------

19043994410441148270827281371648092179964575240551285550193450360143908141146468972425614524063478614107<104>

3407814690944317539762588740159<31>
5588330392801960092177439750747650769278886747644606354321657148324217573<73>

GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 19043994410441148270827281371648092179964575240551285550193450360143908141146468972425614524063478614107 (104 digits)
Using B1=714000, B2=696728352, polynomial Dickson(3), sigma=1623556616
Step 1 took 4969ms
Step 2 took 2609ms
********** Factor found in step 2: 3407814690944317539762588740159
Found probable prime factor of 31 digits: 3407814690944317539762588740159
Probable prime cofactor 5588330392801960092177439750747650769278886747644606354321657148324217573 has 73 digits

100442354301686248318155650268889154362152020216994424474504576240621884645894815542260238572668695980350393<108>

20912340313401736804695249831314117167056127139<47>
4803018351672359716761183080233491333287524164537900935628787<61>

Number: 43331_116
N=100442354301686248318155650268889154362152020216994424474504576240621884645894815542260238572668695980350393
  ( 108 digits)
SNFS difficulty: 118 digits.
Divisors found:
 r1=20912340313401736804695249831314117167056127139
 r2=4803018351672359716761183080233491333287524164537900935628787
Version: 
Total time: 1.52 hours.
Scaled time: 3.02 units (timescale=1.991).
Factorization parameters were as follows:
name: 43331_116
n: 100442354301686248318155650268889154362152020216994424474504576240621884645894815542260238572668695980350393
m: 200000000000000000000000
deg: 5
c5: 65
c0: -112
skew: 1.11
type: snfs
lss: 1
rlim: 660000
alim: 660000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 660000/660000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [330000, 530001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 68965 x 69199
Total sieving time: 1.52 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,118,5,0,0,0,0,0,0,0,0,660000,660000,25,25,45,45,2.2,2.2,50000
total time: 1.52 hours.
 --------- CPU info (if available) ----------

148351021339723838867967591007645783407508844003195252767317128837156225037087755334930959716991897751911445851877211<117>

113514518603811468544415778265029062834435682901<48>
1306890282973394626750519136011642653347252960413338529753654668995311<70>

Number: 43331_119
N=148351021339723838867967591007645783407508844003195252767317128837156225037087755334930959716991897751911445851877211
  ( 117 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=113514518603811468544415778265029062834435682901
 r2=1306890282973394626750519136011642653347252960413338529753654668995311
Version: 
Total time: 2.19 hours.
Scaled time: 4.38 units (timescale=1.997).
Factorization parameters were as follows:
name: 43331_119
n: 148351021339723838867967591007645783407508844003195252767317128837156225037087755334930959716991897751911445851877211
m: 1000000000000000000000000
deg: 5
c5: 13
c0: -70
skew: 1.40
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, 665001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 87580 x 87818
Total sieving time: 2.19 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,121,5,0,0,0,0,0,0,0,0,730000,730000,25,25,46,46,2.2,2.2,50000
total time: 2.19 hours.
 --------- CPU info (if available) ----------

6269196423822103232539740936099023112203802212838271361405353100480408276012089605380855071374200647972655269420633<115>

1498047185326462845874791264840983789868623<43>
4184912521601170246850918800640022065043403650310690001096570127074950871<73>

Number: n
N=6269196423822103232539740936099023112203802212838271361405353100480408276012089605380855071374200647972655269420633
  ( 115 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=1498047185326462845874791264840983789868623 (pp43)
 r2=4184912521601170246850918800640022065043403650310690001096570127074950871 (pp73)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 1.99 hours.
Scaled time: 3.64 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_4_3_123_1
n: 6269196423822103232539740936099023112203802212838271361405353100480408276012089605380855071374200647972655269420633
type: snfs
skew: 1.40
deg: 5
c5: 13
c0: -70
m: 10000000000000000000000000
rlim: 650000
alim: 650000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 650000/650000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [325000, 605001)
Primes: RFBsize:52831, AFBsize:53207, largePrimes:6633415 encountered
Relations: rels:5890129, finalFF:152374
Max relations in full relation-set: 48
Initial matrix: 106103 x 152374 with sparse part having weight 24339461.
Pruned matrix : 100481 x 101075 with weight 12235988.
Total sieving time: 1.78 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.08 hours.
Total square root time: 0.04 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,126,5,0,0,0,0,0,0,0,0,650000,650000,28,28,56,56,2.5,2.5,50000
total time: 1.99 hours.
 --------- CPU info (if available) ----------

30718096214260565396870102557694086018037165181434351721059131933001350211212314245444509148935415858799681197<110>

756960282992795240590601586497232434921<39>
40580855963552503455078830310304821124582047703016518551277824518526757<71>

SNFS difficulty: 126 digits.
Divisors found:
 r1=756960282992795240590601586497232434921 (pp39)
 r2=40580855963552503455078830310304821124582047703016518551277824518526757 (pp71)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.951).
Factorization parameters were as follows:
n: 30718096214260565396870102557694086018037165181434351721059131933001350211212314245444509148935415858799681197
m: 10000000000000000000000000
deg: 5
c5: 13
c0: -7
skew: 0.88
type: snfs
lss: 1
rlim: 890000
alim: 890000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 890000/890000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [445000, 695001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 125763 x 125999
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,126,5,0,0,0,0,0,0,0,0,890000,890000,26,26,49,49,2.3,2.3,50000
total time: 1.30 hours.

Msieve-1.39

Opteron-2.6GHz; Linux x86_64

423561055534110855772718836647845940152748087470775841943157918715306066768867674318721107189592069<99>

30490364046617984017424864824609<32>
13891636547419071980552984173367140215460386040448597016954924515941<68>

Wed Dec 24 06:14:06 2008  Msieve v. 1.39
Wed Dec 24 06:14:06 2008  random seeds: 638a2880 0697d978
Wed Dec 24 06:14:06 2008  factoring 423561055534110855772718836647845940152748087470775841943157918715306066768867674318721107189592069 (99 digits)
Wed Dec 24 06:14:07 2008  searching for 15-digit factors
Wed Dec 24 06:14:09 2008  commencing quadratic sieve (99-digit input)
Wed Dec 24 06:14:09 2008  using multiplier of 1
Wed Dec 24 06:14:09 2008  using 32kb Intel Core sieve core
Wed Dec 24 06:14:09 2008  sieve interval: 36 blocks of size 32768
Wed Dec 24 06:14:09 2008  processing polynomials in batches of 6
Wed Dec 24 06:14:09 2008  using a sieve bound of 2612251 (95257 primes)
Wed Dec 24 06:14:09 2008  using large prime bound of 391837650 (28 bits)
Wed Dec 24 06:14:09 2008  using double large prime bound of 2934884765895450 (43-52 bits)
Wed Dec 24 06:14:09 2008  using trial factoring cutoff of 52 bits
Wed Dec 24 06:14:09 2008  polynomial 'A' values have 13 factors
Wed Dec 24 14:57:37 2008  95665 relations (22800 full + 72865 combined from 1444038 partial), need 95353
Wed Dec 24 14:57:39 2008  begin with 1466838 relations
Wed Dec 24 14:57:40 2008  reduce to 252523 relations in 11 passes
Wed Dec 24 14:57:40 2008  attempting to read 252523 relations
Wed Dec 24 14:57:45 2008  recovered 252523 relations
Wed Dec 24 14:57:45 2008  recovered 241794 polynomials
Wed Dec 24 14:57:45 2008  attempting to build 95665 cycles
Wed Dec 24 14:57:45 2008  found 95665 cycles in 6 passes
Wed Dec 24 14:57:45 2008  distribution of cycle lengths:
Wed Dec 24 14:57:45 2008     length 1 : 22800
Wed Dec 24 14:57:45 2008     length 2 : 16294
Wed Dec 24 14:57:45 2008     length 3 : 15927
Wed Dec 24 14:57:45 2008     length 4 : 13040
Wed Dec 24 14:57:45 2008     length 5 : 10046
Wed Dec 24 14:57:45 2008     length 6 : 6811
Wed Dec 24 14:57:45 2008     length 7 : 4397
Wed Dec 24 14:57:45 2008     length 9+: 6350
Wed Dec 24 14:57:45 2008  largest cycle: 23 relations
Wed Dec 24 14:57:45 2008  matrix is 95257 x 95665 (25.5 MB) with weight 6314404 (66.01/col)
Wed Dec 24 14:57:45 2008  sparse part has weight 6314404 (66.01/col)
Wed Dec 24 14:57:47 2008  filtering completed in 3 passes
Wed Dec 24 14:57:47 2008  matrix is 91395 x 91459 (24.5 MB) with weight 6046936 (66.12/col)
Wed Dec 24 14:57:47 2008  sparse part has weight 6046936 (66.12/col)
Wed Dec 24 14:57:47 2008  saving the first 48 matrix rows for later
Wed Dec 24 14:57:47 2008  matrix is 91347 x 91459 (14.3 MB) with weight 4688883 (51.27/col)
Wed Dec 24 14:57:47 2008  sparse part has weight 3211621 (35.12/col)
Wed Dec 24 14:57:47 2008  matrix includes 64 packed rows
Wed Dec 24 14:57:47 2008  using block size 36583 for processor cache size 1024 kB
Wed Dec 24 14:57:48 2008  commencing Lanczos iteration
Wed Dec 24 14:57:48 2008  memory use: 14.5 MB
Wed Dec 24 14:58:43 2008  lanczos halted after 1447 iterations (dim = 91341)
Wed Dec 24 14:58:43 2008  recovered 13 nontrivial dependencies
Wed Dec 24 14:58:44 2008  prp32 factor: 30490364046617984017424864824609
Wed Dec 24 14:58:44 2008  prp68 factor: 13891636547419071980552984173367140215460386040448597016954924515941
Wed Dec 24 14:58:44 2008  elapsed time 08:44:38

5467486804072968524263441446230274033369319439416686948461744728066650046424741948248473440936163313<100>

346643489439315219050321521524858945557<39>
15772651068440529298755132621651886781971748870337901617836909<62>

Number: 43331_129
N=5467486804072968524263441446230274033369319439416686948461744728066650046424741948248473440936163313
  ( 100 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=346643489439315219050321521524858945557
 r2=15772651068440529298755132621651886781971748870337901617836909
Version: 
Total time: 1.74 hours.
Scaled time: 4.16 units (timescale=2.391).
Factorization parameters were as follows:
n: 5467486804072968524263441446230274033369319439416686948461744728066650046424741948248473440936163313
m: 100000000000000000000000000
deg: 5
c5: 13
c0: -70
skew: 1.40
type: snfs
lss: 1
rlim: 1000000
alim: 1000000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [500000, 1000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 2953047
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 157950 x 158195
Total sieving time: 1.54 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,1000000,1000000,26,26,47,47,2.3,2.3,50000
total time: 1.74 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)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

291281695137860183482012662507685449765126395405237570140944533477572342538205183919109<87>

69478828398569728593459721798867<32>
4192380641004827675507764758323249935285647811508989127<55>

Tue Dec 23 19:41:18 2008  
Tue Dec 23 19:41:18 2008  
Tue Dec 23 19:41:18 2008  Msieve v. 1.39
Tue Dec 23 19:41:18 2008  random seeds: baed84ac 587f7957
Tue Dec 23 19:41:18 2008  factoring 291281695137860183482012662507685449765126395405237570140944533477572342538205183919109 (87 digits)
Tue Dec 23 19:41:18 2008  searching for 15-digit factors
Tue Dec 23 19:41:19 2008  commencing quadratic sieve (87-digit input)
Tue Dec 23 19:41:19 2008  using multiplier of 29
Tue Dec 23 19:41:19 2008  using 64kb Opteron sieve core
Tue Dec 23 19:41:19 2008  sieve interval: 10 blocks of size 65536
Tue Dec 23 19:41:19 2008  processing polynomials in batches of 11
Tue Dec 23 19:41:19 2008  using a sieve bound of 1489667 (56642 primes)
Tue Dec 23 19:41:19 2008  using large prime bound of 119173360 (26 bits)
Tue Dec 23 19:41:19 2008  using double large prime bound of 344447000754720 (42-49 bits)
Tue Dec 23 19:41:19 2008  using trial factoring cutoff of 49 bits
Tue Dec 23 19:41:19 2008  polynomial 'A' values have 11 factors
Tue Dec 23 20:13:40 2008  56750 relations (16023 full + 40727 combined from 592860 partial), need 56738
Tue Dec 23 20:13:40 2008  begin with 608883 relations
Tue Dec 23 20:13:41 2008  reduce to 135001 relations in 8 passes
Tue Dec 23 20:13:41 2008  attempting to read 135001 relations
Tue Dec 23 20:13:42 2008  recovered 135001 relations
Tue Dec 23 20:13:42 2008  recovered 113426 polynomials
Tue Dec 23 20:13:42 2008  attempting to build 56750 cycles
Tue Dec 23 20:13:42 2008  found 56750 cycles in 6 passes
Tue Dec 23 20:13:42 2008  distribution of cycle lengths:
Tue Dec 23 20:13:42 2008     length 1 : 16023
Tue Dec 23 20:13:42 2008     length 2 : 11360
Tue Dec 23 20:13:42 2008     length 3 : 9954
Tue Dec 23 20:13:42 2008     length 4 : 7463
Tue Dec 23 20:13:42 2008     length 5 : 5058
Tue Dec 23 20:13:42 2008     length 6 : 3100
Tue Dec 23 20:13:42 2008     length 7 : 1796
Tue Dec 23 20:13:42 2008     length 9+: 1996
Tue Dec 23 20:13:42 2008  largest cycle: 19 relations
Tue Dec 23 20:13:42 2008  matrix is 56642 x 56750 (13.3 MB) with weight 3250880 (57.28/col)
Tue Dec 23 20:13:42 2008  sparse part has weight 3250880 (57.28/col)
Tue Dec 23 20:13:43 2008  filtering completed in 3 passes
Tue Dec 23 20:13:43 2008  matrix is 52021 x 52085 (12.3 MB) with weight 3026197 (58.10/col)
Tue Dec 23 20:13:43 2008  sparse part has weight 3026197 (58.10/col)
Tue Dec 23 20:13:43 2008  saving the first 48 matrix rows for later
Tue Dec 23 20:13:43 2008  matrix is 51973 x 52085 (8.6 MB) with weight 2442834 (46.90/col)
Tue Dec 23 20:13:43 2008  sparse part has weight 1949032 (37.42/col)
Tue Dec 23 20:13:43 2008  matrix includes 64 packed rows
Tue Dec 23 20:13:43 2008  using block size 20834 for processor cache size 1024 kB
Tue Dec 23 20:13:44 2008  commencing Lanczos iteration
Tue Dec 23 20:13:44 2008  memory use: 8.0 MB
Tue Dec 23 20:13:59 2008  lanczos halted after 823 iterations (dim = 51967)
Tue Dec 23 20:13:59 2008  recovered 13 nontrivial dependencies
Tue Dec 23 20:14:00 2008  prp32 factor: 69478828398569728593459721798867
Tue Dec 23 20:14:00 2008  prp55 factor: 4192380641004827675507764758323249935285647811508989127
Tue Dec 23 20:14:00 2008  elapsed time 00:32:42

534343076083794997371281760082808935626601181033359381519995052241174855210527261550171279430169719357538447850770517<117>

7462194341926544919338500194924283255312005077<46>
71606695242654519563333342916952318853502485124430637614152778256430721<71>

Number: n
N=534343076083794997371281760082808935626601181033359381519995052241174855210527261550171279430169719357538447850770517
  ( 117 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=7462194341926544919338500194924283255312005077 (pp46)
 r2=71606695242654519563333342916952318853502485124430637614152778256430721 (pp71)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 3.56 hours.
Scaled time: 6.51 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_4_3_134_1
n: 534343076083794997371281760082808935626601181033359381519995052241174855210527261550171279430169719357538447850770517
type: snfs
skew: 0.88
deg: 5
c5: 13
c0: -7
m: 1000000000000000000000000000
rlim: 1000000
alim: 1000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [500000, 1020001)
Primes: RFBsize:78498, AFBsize:78306, largePrimes:9031572 encountered
Relations: rels:8076284, finalFF:178919
Max relations in full relation-set: 48
Initial matrix: 156869 x 178919 with sparse part having weight 27811347.
Pruned matrix : 154011 x 154859 with weight 21176060.
Total sieving time: 3.13 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.26 hours.
Total square root time: 0.03 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,1000000,1000000,28,28,56,56,2.5,2.5,75000
total time: 3.56 hours.
 --------- CPU info (if available) ----------

264268503880925151311871568681403279980594971164576904562485281555967178805595058087289716052263653659523810732303893<117>

153868017024233492936781291144992798777<39>
1717501200001193868071551512936241855900994787663081370386972669289649929323709<79>

Number: 43331_136
N=264268503880925151311871568681403279980594971164576904562485281555967178805595058087289716052263653659523810732303893
  ( 117 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=153868017024233492936781291144992798777
 r2=1717501200001193868071551512936241855900994787663081370386972669289649929323709
Version: 
Total time: 4.87 hours.
Scaled time: 12.50 units (timescale=2.564).
Factorization parameters were as follows:
name: 43331_136
n: 264268503880925151311871568681403279980594971164576904562485281555967178805595058087289716052263653659523810732303893
m: 2000000000000000000000000000
deg: 5
c5: 65
c0: -112
skew: 1.11
type: snfs
lss: 1
rlim: 1410000
alim: 1410000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1410000/1410000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [705000, 1380001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 194934 x 195182
Total sieving time: 4.87 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,138,5,0,0,0,0,0,0,0,0,1410000,1410000,26,26,48,48,2.3,2.3,75000
total time: 4.87 hours.
 --------- CPU info (if available) ----------

19888506580555862802074130987443151078615717105176811792365248436258887922009032248563497555435293494812111456084822903607<122>

272710477884165309368820146712980890078113632640440282561<57>
72929015177053713033881917987365982816088025384408340890063152887<65>

Number: 43331_138
N=19888506580555862802074130987443151078615717105176811792365248436258887922009032248563497555435293494812111456084822903607
  ( 122 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=272710477884165309368820146712980890078113632640440282561
 r2=72929015177053713033881917987365982816088025384408340890063152887
Version: 
Total time: 4.53 hours.
Scaled time: 11.65 units (timescale=2.575).
Factorization parameters were as follows:
name: 43331_138
n: 19888506580555862802074130987443151078615717105176811792365248436258887922009032248563497555435293494812111456084822903607
m: 5000000000000000000000000000
deg: 5
c5: 104
c0: -175
skew: 1.11
type: snfs
lss: 1
rlim: 1540000
alim: 1540000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1540000/1540000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [770000, 1370001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 229684 x 229931
Total sieving time: 4.53 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,140,5,0,0,0,0,0,0,0,0,1540000,1540000,26,26,48,48,2.3,2.3,100000
total time: 4.53 hours.
 --------- CPU info (if available) ----------

3587287631154757617814951158449886668895226167431297560934889849904751035171338016447415764312597223<100>

580227981425170480885365056415884167587353<42>
6182548491273330202741775652459471890874048806489022017791<58>

Number: 43331_139
N=3587287631154757617814951158449886668895226167431297560934889849904751035171338016447415764312597223
  ( 100 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=580227981425170480885365056415884167587353
 r2=6182548491273330202741775652459471890874048806489022017791
Version: 
Total time: 7.16 hours.
Scaled time: 18.36 units (timescale=2.564).
Factorization parameters were as follows:
name: 43331_139
n: 3587287631154757617814951158449886668895226167431297560934889849904751035171338016447415764312597223
m: 10000000000000000000000000000
deg: 5
c5: 13
c0: -70
skew: 1.40
type: snfs
lss: 1
rlim: 1570000
alim: 1570000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1570000/1570000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [785000, 1785001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 267552 x 267800
Total sieving time: 7.16 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,141,5,0,0,0,0,0,0,0,0,1570000,1570000,26,26,48,48,2.3,2.3,100000
total time: 7.16 hours.
 --------- CPU info (if available) ----------

104352849735052573600242117298572566832474972586259539976354079321149059118299684921894039635232118915300832492670990117450639071409<132>

1618888627972634184177225680705039794519589281<46>
64459560671406830134081826137348849162306203510285790506146547055011181477654430473489<86>

SNFS difficulty: 141 digits.
Divisors found:
 r1=1618888627972634184177225680705039794519589281 (pp46)
 r2=64459560671406830134081826137348849162306203510285790506146547055011181477654430473489 (pp86)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.673).
Factorization parameters were as follows:
n: 104352849735052573600242117298572566832474972586259539976354079321149059118299684921894039635232118915300832492670990117450639071409
m: 10000000000000000000000000000
deg: 5
c5: 13
c0: -7
skew: 0.88
type: snfs
lss: 1
rlim: 1570000
alim: 1570000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1570000/1570000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [785000, 1585001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 261172 x 261420
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,141,5,0,0,0,0,0,0,0,0,1570000,1570000,26,26,49,49,2.3,2.3,100000
total time: 3.90 hours.

Msieve-1.39

Opteron-2.6GHz; Linux x86_64

1399463351536678497454552444818985244067634182921218539159022624287498338487162397143862813011840518162810263402574146392331256532333<133>

39052045075867533488696837658421<32>

35835853124155232087376837262708155018312446867976450226551174108265579054212486580985798592914115673<101>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2266195174
Step 1 took 9764ms
Step 2 took 10698ms
********** Factor found in step 2: 39052045075867533488696837658421
Found probable prime factor of 32 digits: 39052045075867533488696837658421
Composite cofactor has 101 digits

GMP-ECM 6.2.1

35835853124155232087376837262708155018312446867976450226551174108265579054212486580985798592914115673<101>

78208945654866767181969270770471203<35>
458206575016335709488301915918886731111651833495759452288453585491<66>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3061227314
Step 1 took 8259ms
Step 2 took 8999ms
********** Factor found in step 2: 78208945654866767181969270770471203
Found probable prime factor of 35 digits: 78208945654866767181969270770471203
Probable prime cofactor 458206575016335709488301915918886731111651833495759452288453585491 has 66 digits

GMP-ECM 6.2.1

136810760319442984511388306121793604504251223416095814639746515650962970987884593570645608634044828921380847408566690807883000354617384592713<141>

188970213715321747672299761534754833377917059582227123669<57>
723980555610444002576019194415271366760489277242380215274116190741913804171160915877<84>

Number: 43331_149
N=136810760319442984511388306121793604504251223416095814639746515650962970987884593570645608634044828921380847408566690807883000354617384592713
  ( 141 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=188970213715321747672299761534754833377917059582227123669
 r2=723980555610444002576019194415271366760489277242380215274116190741913804171160915877
Version: 
Total time: 17.52 hours.
Scaled time: 36.01 units (timescale=2.055).
Factorization parameters were as follows:
name: 43331_149
n: 136810760319442984511388306121793604504251223416095814639746515650962970987884593570645608634044828921380847408566690807883000354617384592713
m: 1000000000000000000000000000000
deg: 5
c5: 13
c0: -70
skew: 1.40
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1150000, 1950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 449125 x 449373
Total sieving time: 17.52 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,151,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 17.52 hours.
 --------- CPU info (if available) ----------

46175219065471497544696430236163828161418409151702714305658788678833996656676372801075680683544452514045855985835996777599255062948253551329323<143>

20031893966274074423596077442708505693053<41>
2305085038050452143230599323022197163476467261349173660893918734016736964140945346920717888247983995591<103>

SNFS difficulty: 154 digits.
Divisors found:
 r1=20031893966274074423596077442708505693053 (pp41)
 r2=2305085038050452143230599323022197163476467261349173660893918734016736964140945346920717888247983995591 (pp103)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.689).
Factorization parameters were as follows:
n: 46175219065471497544696430236163828161418409151702714305658788678833996656676372801075680683544452514045855985835996777599255062948253551329323
m: 2000000000000000000000000000000
deg: 5
c5: 325
c0: -56
skew: 0.70
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [1300000, 2300001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 503364 x 503612
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,154,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,52,52,2.4,2.4,100000
total time: 14.00 hours.

Msieve-1.39

Opteron-2.6GHz; Linux x86_64

437632738580035654262129319099138766292963493690866696448476387894541006903564451451163646691<93>

6196057801656421501364047194416498849394697<43>
70630835377785084555386441008655114290296665265803<50>

Tue Dec 23 22:52:12 2008  Msieve v. 1.39
Tue Dec 23 22:52:12 2008  random seeds: 4415d7f4 e16d18f3
Tue Dec 23 22:52:12 2008  factoring 437632738580035654262129319099138766292963493690866696448476387894541006903564451451163646691 (93 digits)
Tue Dec 23 22:52:13 2008  searching for 15-digit factors
Tue Dec 23 22:52:14 2008  commencing quadratic sieve (93-digit input)
Tue Dec 23 22:52:14 2008  using multiplier of 19
Tue Dec 23 22:52:14 2008  using 32kb Intel Core sieve core
Tue Dec 23 22:52:14 2008  sieve interval: 36 blocks of size 32768
Tue Dec 23 22:52:14 2008  processing polynomials in batches of 6
Tue Dec 23 22:52:14 2008  using a sieve bound of 1923137 (71699 primes)
Tue Dec 23 22:52:14 2008  using large prime bound of 232699577 (27 bits)
Tue Dec 23 22:52:14 2008  using double large prime bound of 1148767303677169 (42-51 bits)
Tue Dec 23 22:52:14 2008  using trial factoring cutoff of 51 bits
Tue Dec 23 22:52:14 2008  polynomial 'A' values have 12 factors
Wed Dec 24 01:24:11 2008  71822 relations (18303 full + 53519 combined from 959170 partial), need 71795
Wed Dec 24 01:24:12 2008  begin with 977473 relations
Wed Dec 24 01:24:13 2008  reduce to 182815 relations in 10 passes
Wed Dec 24 01:24:13 2008  attempting to read 182815 relations
Wed Dec 24 01:24:15 2008  recovered 182815 relations
Wed Dec 24 01:24:15 2008  recovered 165366 polynomials
Wed Dec 24 01:24:15 2008  attempting to build 71822 cycles
Wed Dec 24 01:24:15 2008  found 71822 cycles in 5 passes
Wed Dec 24 01:24:15 2008  distribution of cycle lengths:
Wed Dec 24 01:24:15 2008     length 1 : 18303
Wed Dec 24 01:24:15 2008     length 2 : 13016
Wed Dec 24 01:24:15 2008     length 3 : 12483
Wed Dec 24 01:24:15 2008     length 4 : 9444
Wed Dec 24 01:24:15 2008     length 5 : 7095
Wed Dec 24 01:24:15 2008     length 6 : 4692
Wed Dec 24 01:24:15 2008     length 7 : 2928
Wed Dec 24 01:24:15 2008     length 9+: 3861
Wed Dec 24 01:24:15 2008  largest cycle: 22 relations
Wed Dec 24 01:24:16 2008  matrix is 71699 x 71822 (18.6 MB) with weight 4599586 (64.04/col)
Wed Dec 24 01:24:16 2008  sparse part has weight 4599586 (64.04/col)
Wed Dec 24 01:24:17 2008  filtering completed in 3 passes
Wed Dec 24 01:24:17 2008  matrix is 67741 x 67805 (17.7 MB) with weight 4379423 (64.59/col)
Wed Dec 24 01:24:17 2008  sparse part has weight 4379423 (64.59/col)
Wed Dec 24 01:24:17 2008  saving the first 48 matrix rows for later
Wed Dec 24 01:24:17 2008  matrix is 67693 x 67805 (11.6 MB) with weight 3510908 (51.78/col)
Wed Dec 24 01:24:17 2008  sparse part has weight 2623737 (38.70/col)
Wed Dec 24 01:24:17 2008  matrix includes 64 packed rows
Wed Dec 24 01:24:17 2008  using block size 27122 for processor cache size 1024 kB
Wed Dec 24 01:24:18 2008  commencing Lanczos iteration
Wed Dec 24 01:24:18 2008  memory use: 10.9 MB
Wed Dec 24 01:24:47 2008  lanczos halted after 1071 iterations (dim = 67691)
Wed Dec 24 01:24:47 2008  recovered 16 nontrivial dependencies
Wed Dec 24 01:24:48 2008  prp43 factor: 6196057801656421501364047194416498849394697
Wed Dec 24 01:24:48 2008  prp50 factor: 70630835377785084555386441008655114290296665265803
Wed Dec 24 01:24:48 2008  elapsed time 02:32:36

6699030638791358287402250465874032297664402985450649877562708199444280779852023252445956714120090595355942969673208670173947<124>

324398260686691813162866343117371269663267936287799013143<57>
20650636734644430907618223992790982393292044921765406119716528349629<68>

Number: 43331_156
N=6699030638791358287402250465874032297664402985450649877562708199444280779852023252445956714120090595355942969673208670173947
  ( 124 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=324398260686691813162866343117371269663267936287799013143
 r2=20650636734644430907618223992790982393292044921765406119716528349629
Version: 
Total time: 30.15 hours.
Scaled time: 76.99 units (timescale=2.554).
Factorization parameters were as follows:
name: 43331_156
n: 6699030638791358287402250465874032297664402985450649877562708199444280779852023252445956714120090595355942969673208670173947
m: 20000000000000000000000000000000
deg: 5
c5: 65
c0: -112
skew: 1.11
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1500000, 2600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 510325 x 510573
Total sieving time: 30.15 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 30.15 hours.
 --------- CPU info (if available) ----------

1249549956692905843078530648495289271477668421273383397930121240701021840408969782908108656684854663018608144097023393943249861817083459645496449337<148>

123302230368263597667057025479304489207485833<45>
10134041800873407971458001266515153364324752965728397706141656301510332896590942027080433617388959869489<104>

SNFS difficulty: 159 digits.
Divisors found:
 r1=123302230368263597667057025479304489207485833 (pp45)
 r2=10134041800873407971458001266515153364324752965728397706141656301510332896590942027080433617388959869489 (pp104)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.525).
Factorization parameters were as follows:
n: 1249549956692905843078530648495289271477668421273383397930121240701021840408969782908108656684854663018608144097023393943249861817083459645496449337
m: 20000000000000000000000000000000
deg: 5
c5: 325
c0: -56
skew: 0.70
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [1550000, 2950001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 577511 x 577759
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,159,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,52,52,2.4,2.4,100000
total time: 20.00 hours.

Msieve-1.39

Opteron-2.6GHz; Linux x86_64

16541810020327083872025321485770544028139924294453159596961944801609205755724722039495199343773314721281738282611533742164756110685780090298050015967<149>

1421529768278761348094525780374224513736072633<46>
11636625830464664858325647743978813807681829947015823061574324087054803749479569252497826886832945914199<104>

Number: 43331_159
N=16541810020327083872025321485770544028139924294453159596961944801609205755724722039495199343773314721281738282611533742164756110685780090298050015967
  ( 149 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=1421529768278761348094525780374224513736072633
 r2=11636625830464664858325647743978813807681829947015823061574324087054803749479569252497826886832945914199
Version: 
Total time: 44.58 hours.
Scaled time: 63.93 units (timescale=1.434).
Factorization parameters were as follows:
namee: 43331_159
n: 16541810020327083872025321485770544028139924294453159596961944801609205755724722039495199343773314721281738282611533742164756110685780090298050015967
m: 100000000000000000000000000000000
deg: 5
c5: 13
c0: -70
skew: 1.40
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 3400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 631769 x 632017
Total sieving time: 44.58 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,161,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 44.58 hours.
 --------- CPU info (if available) ----------

11436210616186810746733794056033051070940864173032611313454331432661520178353510635592300745384936999279263615712639063331420759064052429852989183975085529<155>

5999983234384257158361269946239766294623194084668988312408091792411844581<73>
1906040428688038075255133580167729965232323806993136811044332942461242515795310309<82>

Number: 43331_161
N=11436210616186810746733794056033051070940864173032611313454331432661520178353510635592300745384936999279263615712639063331420759064052429852989183975085529
  ( 155 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=5999983234384257158361269946239766294623194084668988312408091792411844581
 r2=1906040428688038075255133580167729965232323806993136811044332942461242515795310309
Version: 
Total time: 44.13 hours.
Scaled time: 86.81 units (timescale=1.967).
Factorization parameters were as follows:
name: 43331_161
n: 11436210616186810746733794056033051070940864173032611313454331432661520178353510635592300745384936999279263615712639063331420759064052429852989183975085529
m: 200000000000000000000000000000000
deg: 5
c5: 65
c0: -112
skew: 1.11
type: snfs
lss: 1
rlim: 3700000
alim: 3700000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3700000/3700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1850000, 3350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 649756 x 650004
Total sieving time: 44.13 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3700000,3700000,27,27,51,51,2.4,2.4,100000
total time: 44.13 hours.
 --------- CPU info (if available) ----------

23198971587549035713406698366223234277045938296204517584841413786880765504564822478161483396315533938186475994696347135060501<125>

35369121000324091221140788630633<32>
655910323226196685402316639620192425902591627772168768126116843748558306589316695535468462797<93>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3840470679
Step 1 took 9843ms
Step 2 took 10386ms
********** Factor found in step 2: 35369121000324091221140788630633
Found probable prime factor of 32 digits: 35369121000324091221140788630633
Probable prime cofactor 655910323226196685402316639620192425902591627772168768126116843748558306589316695535468462797 has 93 digits

GMP-ECM 6.2.1

52227312788259904783285448177771151215979194504591185340103120146351292794322523024425734515127250088819<104>

2484322471920498002597770188046418572961<40>
21022759073577810522071683163551125750312379421937000260369560979<65>

Number: 43331_163
N=52227312788259904783285448177771151215979194504591185340103120146351292794322523024425734515127250088819
  ( 104 digits)
Divisors found:
 r1=2484322471920498002597770188046418572961
 r2=21022759073577810522071683163551125750312379421937000260369560979
Version: 
Total time: 3.98 hours.
Scaled time: 9.53 units (timescale=2.391).
Factorization parameters were as follows:
name: 43331_163
n: 52227312788259904783285448177771151215979194504591185340103120146351292794322523024425734515127250088819
skew: 22078.67
# norm 5.99e+14
c5: 21240
c4: -1497386772
c3: -38425098620186
c2: 845882405351926079
c1: 8026727642520429063354
c0: 1072508182475386490862336
# alpha -6.69
Y1: 84046748929
Y0: -75536254703912113145
# Murphy_E 2.05e-09
# M 14288233827694019863237397998856850064401035115600452898033582468342007884707128037624699464864009909031
type: gnfs
rlim: 1500000
alim: 1500000
lpbr: 26
lpba: 26
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 50/50
Sieved algebraic special-q in [750000, 1500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 5069392
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 241075 x 241323
Total sieving time: 3.46 hours.
Total relation processing time: 0.36 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,103,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,26,26,50,50,2.6,2.6,50000
total time: 3.98 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)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

31630170316301703163017031630170316301703163017031630170316301703163017031630170316301703163017031630170316301703163017031630170316301703163017031630170316301703163<164>

6085843468199487275442039551130758294656791892404326335166720315393967284370157<79>
5197335501903661657599518956480061122136436218334285817046668712234291023306740922759<85>

SNFS difficulty: 166 digits.
Divisors found:
 r1=6085843468199487275442039551130758294656791892404326335166720315393967284370157 (pp79)
 r2=5197335501903661657599518956480061122136436218334285817046668712234291023306740922759 (pp85)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.950).
Factorization parameters were as follows:
n: 31630170316301703163017031630170316301703163017031630170316301703163017031630170316301703163017031630170316301703163017031630170316301703163017031630170316301703163
m: 1000000000000000000000000000000000
deg: 5
c5: 13
c0: -7
skew: 0.88
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2050000, 4050001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 746923 x 747171
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,52,52,2.4,2.4,200000
total time: 36.00 hours.

Msieve-1.39

Opteron-2.6GHz; Linux x86_64

628733928872674059655935066886932148706683298336978421071876163430726051438205282807890104870440171098852917012474687524647<123>

314414705694017135605799681084992228187<39>
1999696316636496215730131756790259309249856000129855091108599659958985721872494604581<85>

GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 628733928872674059655935066886932148706683298336978421071876163430726051438205282807890104870440171098852917012474687524647 (123 digits)
Using B1=20000000, B2=59950304286, polynomial Dickson(12), sigma=583429813
Step 1 took 231640ms
Step 2 took 77316ms
********** Factor found in step 2: 314414705694017135605799681084992228187
Found probable prime factor of 39 digits: 314414705694017135605799681084992228187
Probable prime cofactor 1999696316636496215730131756790259309249856000129855091108599659958985721872494604581 has 85 digits

6771090605074307069591549228648573420714999216153608492489545679884278552852674684314455216639986692541470079887690700098181362449<130>

278840979899609144669916444484675755961<39>
24282982392014604316378653148216272453420429843296842734094382957632012796139059509470390809<92>

GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 6771090605074307069591549228648573420714999216153608492489545679884278552852674684314455216639986692541470079887690700098181362449 (130 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3881612235
Step 1 took 4274ms
Step 2 took 5819ms
********** Factor found in step 2: 278840979899609144669916444484675755961
Found probable prime factor of 39 digits: 278840979899609144669916444484675755961
Probable prime cofactor 24282982392014604316378653148216272453420429843296842734094382957632012796139059509470390809 has 92 digits

Core 2 Quad Q6600

1176346433075362133053919977324763748102944235647743029438198573493340184338315507705896899444262726232820856655223090541475617053379579863863<142>

3446714640637299830656897972064937911<37>
341294988336445193728905705649852576939546047528827589956637878582237898276169125438517320288890233544833<105>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1660133444
Step 1 took 26687ms
Step 2 took 17954ms
********** Factor found in step 2: 3446714640637299830656897972064937911
Found probable prime factor of 37 digits: 3446714640637299830656897972064937911
Probable prime cofactor  has 105 digits

GMP-ECM 6.2.1

291845699722454131828950952434067433348183921452070308492393626701016645808266368050060324324481132861030766646948380844607174467577204438194077672931174721359631<162>

36827193780046573232594260772222003028836546657202581604583859<62>
7924733594026371980820223389077532702295260397172538624856138458497367165468734245221852075206541109<100>

Number: 43331_173
N=291845699722454131828950952434067433348183921452070308492393626701016645808266368050060324324481132861030766646948380844607174467577204438194077672931174721359631
  ( 162 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=36827193780046573232594260772222003028836546657202581604583859 (pp62)
 r2=7924733594026371980820223389077532702295260397172538624856138458497367165468734245221852075206541109 (pp100)
Version: Msieve-1.40
Total time: 60.95 hours.
Scaled time: 105.99 units (timescale=1.739).
Factorization parameters were as follows:
n: 291845699722454131828950952434067433348183921452070308492393626701016645808266368050060324324481132861030766646948380844607174467577204438194077672931174721359631
m: 50000000000000000000000000000000000
deg: 5
c5: 104
c0: -175
skew: 1.11
type: snfs
lss: 1
rlim: 5900000
alim: 5900000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5900000/5900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [2950000, 5850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1073147 x 1073372
Total sieving time: 58.73 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.51 hours.
Time per square root: 0.56 hours.
Prototype def-par.txt line would be:
snfs,175.000,5,0,0,0,0,0,0,0,0,5900000,5900000,28,28,52,52,2.5,2.5,100000
total time: 60.95 hours.

GGNFS, Msieve

24000055444851197132978321002485393490269394924989129370986539182893234062802945405929639<89>

1154850117862112282943626662349224241<37>
20781965619296732780146962236360397468436031673870679<53>

ue Dec 23 21:17:52 2008  Msieve v. 1.39
Tue Dec 23 21:17:52 2008  random seeds: 9d7994a0 f4a4cbfc
Tue Dec 23 21:17:52 2008  factoring 24000055444851197132978321002485393490269394924989129370986539182893234062802945405929639 (89 digits)
Tue Dec 23 21:17:53 2008  searching for 15-digit factors
Tue Dec 23 21:17:54 2008  commencing quadratic sieve (89-digit input)
Tue Dec 23 21:17:54 2008  using multiplier of 39
Tue Dec 23 21:17:54 2008  using 32kb Intel Core sieve core
Tue Dec 23 21:17:54 2008  sieve interval: 30 blocks of size 32768
Tue Dec 23 21:17:54 2008  processing polynomials in batches of 7
Tue Dec 23 21:17:54 2008  using a sieve bound of 1545007 (58667 primes)
Tue Dec 23 21:17:54 2008  using large prime bound of 123600560 (26 bits)
Tue Dec 23 21:17:54 2008  using double large prime bound of 367821176096160 (42-49 bits)
Tue Dec 23 21:17:54 2008  using trial factoring cutoff of 49 bits
Tue Dec 23 21:17:54 2008  polynomial 'A' values have 12 factors
Tue Dec 23 22:28:02 2008  58882 relations (15618 full + 43264 combined from 622557 partial), need 58763
Tue Dec 23 22:28:03 2008  begin with 638175 relations
Tue Dec 23 22:28:03 2008  reduce to 143131 relations in 9 passes
Tue Dec 23 22:28:03 2008  attempting to read 143131 relations
Tue Dec 23 22:28:05 2008  recovered 143131 relations
Tue Dec 23 22:28:05 2008  recovered 124085 polynomials
Tue Dec 23 22:28:05 2008  attempting to build 58882 cycles
Tue Dec 23 22:28:05 2008  found 58881 cycles in 5 passes
Tue Dec 23 22:28:05 2008  distribution of cycle lengths:
Tue Dec 23 22:28:05 2008     length 1 : 15618
Tue Dec 23 22:28:05 2008     length 2 : 11396
Tue Dec 23 22:28:05 2008     length 3 : 10604
Tue Dec 23 22:28:05 2008     length 4 : 7945
Tue Dec 23 22:28:05 2008     length 5 : 5461
Tue Dec 23 22:28:05 2008     length 6 : 3495
Tue Dec 23 22:28:05 2008     length 7 : 2019
Tue Dec 23 22:28:05 2008     length 9+: 2343
Tue Dec 23 22:28:05 2008  largest cycle: 17 relations
Tue Dec 23 22:28:06 2008  matrix is 58667 x 58881 (14.2 MB) with weight 3480054 (59.10/col)
Tue Dec 23 22:28:06 2008  sparse part has weight 3480054 (59.10/col)
Tue Dec 23 22:28:06 2008  filtering completed in 3 passes
Tue Dec 23 22:28:06 2008  matrix is 54828 x 54892 (13.3 MB) with weight 3262907 (59.44/col)
Tue Dec 23 22:28:06 2008  sparse part has weight 3262907 (59.44/col)
Tue Dec 23 22:28:06 2008  saving the first 48 matrix rows for later
Tue Dec 23 22:28:06 2008  matrix is 54780 x 54892 (8.1 MB) with weight 2523354 (45.97/col)
Tue Dec 23 22:28:06 2008  sparse part has weight 1787841 (32.57/col)
Tue Dec 23 22:28:06 2008  matrix includes 64 packed rows
Tue Dec 23 22:28:06 2008  using block size 21956 for processor cache size 1024 kB
Tue Dec 23 22:28:07 2008  commencing Lanczos iteration
Tue Dec 23 22:28:07 2008  memory use: 8.0 MB
Tue Dec 23 22:28:24 2008  lanczos halted after 868 iterations (dim = 54778)
Tue Dec 23 22:28:24 2008  recovered 17 nontrivial dependencies
Tue Dec 23 22:28:24 2008  prp37 factor: 1154850117862112282943626662349224241
Tue Dec 23 22:28:24 2008  prp53 factor: 20781965619296732780146962236360397468436031673870679
Tue Dec 23 22:28:24 2008  elapsed time 01:10:32

11344755767403110105798365096942586323904056348747556158198080532612229272915145420107378703722835339553370783462934275414311836939<131>

66284995290599662180918720582599109<35>

171151189159275524637972429557980529012958213612151853392928058325396084997686344849568733257871<96>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1852330746
Step 1 took 67860ms
Step 2 took 35912ms
********** Factor found in step 2: 66284995290599662180918720582599109
Found probable prime factor of 35 digits: 66284995290599662180918720582599109
Composite cofactor 171151189159275524637972429557980529012958213612151853392928058325396084997686344849568733257871 has 96 digits

GMP-ECM 6.3

171151189159275524637972429557980529012958213612151853392928058325396084997686344849568733257871<96>

49937933878196658672182872245077950913<38>
3427278140435874936332962214184040954842970426216916325967<58>

Sun Jun 20 20:17:19 2010  
Sun Jun 20 20:17:19 2010  
Sun Jun 20 20:17:19 2010  Msieve v. 1.42
Sun Jun 20 20:17:19 2010  random seeds: 959bef68 a83584cc
Sun Jun 20 20:17:19 2010  factoring 2104632936815646896502247869148472624347000402121244577976222082633463832670335973077175334871 (94 digits)
Sun Jun 20 20:17:20 2010  searching for 15-digit factors
Sun Jun 20 20:17:20 2010  commencing quadratic sieve (94-digit input)
Sun Jun 20 20:17:20 2010  using multiplier of 71
Sun Jun 20 20:17:20 2010  using 32kb Intel Core sieve core
Sun Jun 20 20:17:20 2010  sieve interval: 36 blocks of size 32768
Sun Jun 20 20:17:20 2010  processing polynomials in batches of 6
Sun Jun 20 20:17:20 2010  using a sieve bound of 2025281 (74993 primes)
Sun Jun 20 20:17:20 2010  using large prime bound of 271387654 (28 bits)
Sun Jun 20 20:17:20 2010  using double large prime bound of 1515172741378278 (42-51 bits)
Sun Jun 20 20:17:20 2010  using trial factoring cutoff of 51 bits
Sun Jun 20 20:17:20 2010  polynomial 'A' values have 12 factors
Sun Jun 20 20:43:15 2010  4836 relations (4015 full + 821 combined from 221323 partial), need 75089
Sun Jun 20 20:43:15 2010  elapsed time 00:25:56
Sun Jun 20 20:46:01 2010  
Sun Jun 20 20:46:01 2010  
Sun Jun 20 20:46:01 2010  Msieve v. 1.42
Sun Jun 20 20:46:01 2010  random seeds: 862f7c88 72b2a14f
Sun Jun 20 20:46:01 2010  factoring 171151189159275524637972429557980529012958213612151853392928058325396084997686344849568733257871 (96 digits)
Sun Jun 20 20:46:01 2010  searching for 15-digit factors
Sun Jun 20 20:46:02 2010  commencing quadratic sieve (96-digit input)
Sun Jun 20 20:46:02 2010  using multiplier of 59
Sun Jun 20 20:46:02 2010  using 32kb Intel Core sieve core
Sun Jun 20 20:46:02 2010  sieve interval: 36 blocks of size 32768
Sun Jun 20 20:46:02 2010  processing polynomials in batches of 6
Sun Jun 20 20:46:02 2010  using a sieve bound of 2231351 (82288 primes)
Sun Jun 20 20:46:02 2010  using large prime bound of 334702650 (28 bits)
Sun Jun 20 20:46:02 2010  using double large prime bound of 2209970306285550 (43-51 bits)
Sun Jun 20 20:46:02 2010  using trial factoring cutoff of 51 bits
Sun Jun 20 20:46:02 2010  polynomial 'A' values have 13 factors
Mon Jun 21 00:26:57 2010  82859 relations (20527 full + 62332 combined from 1234415 partial), need 82384
Mon Jun 21 00:26:58 2010  begin with 1254942 relations
Mon Jun 21 00:26:59 2010  reduce to 215988 relations in 11 passes
Mon Jun 21 00:26:59 2010  attempting to read 215988 relations
Mon Jun 21 00:27:01 2010  recovered 215988 relations
Mon Jun 21 00:27:01 2010  recovered 202392 polynomials
Mon Jun 21 00:27:01 2010  attempting to build 82859 cycles
Mon Jun 21 00:27:01 2010  found 82859 cycles in 6 passes
Mon Jun 21 00:27:01 2010  distribution of cycle lengths:
Mon Jun 21 00:27:01 2010     length 1 : 20527
Mon Jun 21 00:27:01 2010     length 2 : 14627
Mon Jun 21 00:27:01 2010     length 3 : 13882
Mon Jun 21 00:27:01 2010     length 4 : 11064
Mon Jun 21 00:27:01 2010     length 5 : 8328
Mon Jun 21 00:27:01 2010     length 6 : 5776
Mon Jun 21 00:27:01 2010     length 7 : 3637
Mon Jun 21 00:27:01 2010     length 9+: 5018
Mon Jun 21 00:27:01 2010  largest cycle: 23 relations
Mon Jun 21 00:27:02 2010  matrix is 82288 x 82859 (22.2 MB) with weight 5490344 (66.26/col)
Mon Jun 21 00:27:02 2010  sparse part has weight 5490344 (66.26/col)
Mon Jun 21 00:27:03 2010  filtering completed in 3 passes
Mon Jun 21 00:27:03 2010  matrix is 78347 x 78411 (21.0 MB) with weight 5196991 (66.28/col)
Mon Jun 21 00:27:03 2010  sparse part has weight 5196991 (66.28/col)
Mon Jun 21 00:27:03 2010  saving the first 48 matrix rows for later
Mon Jun 21 00:27:03 2010  matrix is 78299 x 78411 (13.1 MB) with weight 4085516 (52.10/col)
Mon Jun 21 00:27:03 2010  sparse part has weight 2958478 (37.73/col)
Mon Jun 21 00:27:03 2010  matrix includes 64 packed rows
Mon Jun 21 00:27:03 2010  using block size 31364 for processor cache size 6144 kB
Mon Jun 21 00:27:03 2010  commencing Lanczos iteration
Mon Jun 21 00:27:03 2010  memory use: 13.2 MB
Mon Jun 21 00:27:38 2010  lanczos halted after 1240 iterations (dim = 78299)
Mon Jun 21 00:27:38 2010  recovered 18 nontrivial dependencies
Mon Jun 21 00:27:40 2010  prp38 factor: 49937933878196658672182872245077950913
Mon Jun 21 00:27:40 2010  prp58 factor: 3427278140435874936332962214184040954842970426216916325967
Mon Jun 21 00:27:40 2010  elapsed time 03:41:39

1203136387641845254028475942334255156833648412508885063761987719472198814018147943785993362446777031877990598485271815434701012203<130>

38058352172263298639427636411955874648505227<44>
31612939577522852348295992752401112328883976871934034437064689198696657766527727661089<86>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2015550885
Step 1 took 44438ms
Step 2 took 19046ms
********** Factor found in step 2: 38058352172263298639427636411955874648505227
Found probable prime factor of 44 digits: 38058352172263298639427636411955874648505227
Probable prime cofactor 31612939577522852348295992752401112328883976871934034437064689198696657766527727661089 has 86 digits

GMP-ECM 6.3

4333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331<181>

133183810233677421714973688754211562543765317<45>
32536487173105281333067272791516917637471199207130413085188359827144021898760251672172023912689675343132715372285707394906776189397129143<137>

Number: 43331_180
N=4333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331
  ( 181 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=133183810233677421714973688754211562543765317
 r2=32536487173105281333067272791516917637471199207130413085188359827144021898760251672172023912689675343132715372285707394906776189397129143
Version: 
Total time: 91.31 hours.
Scaled time: 218.15 units (timescale=2.389).
Factorization parameters were as follows:
n: 4333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331
m: 1000000000000000000000000000000000000
deg: 5
c5: 13
c0: -7
skew: 0.88
type: snfs
lss: 1
rlim: 6400000
alim: 6400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3200000, 5700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18375208
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1307433 x 1307681
Total sieving time: 84.50 hours.
Total relation processing time: 2.37 hours.
Matrix solve time: 4.11 hours.
Time per square root: 0.33 hours.
Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,6400000,6400000,28,28,53,53,2.5,2.5,100000
total time: 91.31 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)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

1856292813575847353611687746513911283262515604408046641657444969045883866083282732898803072873529333134564560208350368723951140082016016089687428103689<151>

15883357059078310462328174270847695750679926928763387463<56>
116870306867203644713360430708707721736047870828220455049898300578179180407110526231306530765103<96>

Number: 43331_181
N = 1856292813575847353611687746513911283262515604408046641657444969045883866083282732898803072873529333134564560208350368723951140082016016089687428103689 (151 digits)
SNFS difficulty: 183 digits.
Divisors found:
r1=15883357059078310462328174270847695750679926928763387463 (pp56)
r2=116870306867203644713360430708707721736047870828220455049898300578179180407110526231306530765103 (pp96)
Version: Msieve v. 1.52 (SVN 959M)
Total time: 9.54 hours.
Factorization parameters were as follows:
n: 1856292813575847353611687746513911283262515604408046641657444969045883866083282732898803072873529333134564560208350368723951140082016016089687428103689
m: 1000000000000000000000000000000000000
deg: 5
c5: 130
c0: -7
skew: 0.56
# Murphy_E = 8.583e-11
type: snfs
lss: 1
rlim: 7600000
alim: 7600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7600000/7600000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 19031226
Relations: 2595470 relations
Pruned matrix : 1544263 x 1544490
Polynomial selection time: 0.00 hours.
Total sieving time: 8.63 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.77 hours.
time per square root: 0.05 hours.
Prototype def-par.txt line would be: snfs,183,5,0,0,0,0,0,0,0,0,7600000,7600000,28,28,53,53,2.5,2.5,200000
total time: 9.54 hours.
Intel64 Family 6 Model 62 Stepping 4, GenuineIntel
Windows-7-6.1.7600
processors: 12, speed: 3.40GHz

766266316093932697414811963256233384914845119010295141618098644527936036331868998403277827948573627671550671334761064310904659317701146823640447567903131677384669404123609130853<177>

168356121978366564871890965200092881943684966894508763406073777<63>
4551460957222550141485244311077309443238546974501377560988326692093491951648165360307008861662052391359092433331189<115>

Number: 43331_183
N=766266316093932697414811963256233384914845119010295141618098644527936036331868998403277827948573627671550671334761064310904659317701146823640447567903131677384669404123609130853
  ( 177 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=168356121978366564871890965200092881943684966894508763406073777 (pp63)
 r2=4551460957222550141485244311077309443238546974501377560988326692093491951648165360307008861662052391359092433331189 (pp115)
Version: Msieve-1.40
Total time: 196.16 hours.
Scaled time: 491.18 units (timescale=2.504).
Factorization parameters were as follows:
name: 43331_183
n: 766266316093932697414811963256233384914845119010295141618098644527936036331868998403277827948573627671550671334761064310904659317701146823640447567903131677384669404123609130853
m: 1000000000000000000000000000000000000
deg: 5
c5: 13000
c0: -7
skew: 0.22
type: snfs
lss: 1
rlim: 8200000
alim: 8200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8200000/8200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4100000, 6700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1466249 x 1466496
Total sieving time: 190.43 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 5.18 hours.
Time per square root: 0.26 hours.
Prototype def-par.txt line would be:
snfs,184.000,5,0,0,0,0,0,0,0,0,8200000,8200000,28,28,54,54,2.5,2.5,100000
total time: 196.16 hours.
 --------- CPU info (if available) ----------

Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

9560663254098233461541827570790644052609241057635870078823255916230351090353195169982341454969680562796532244476749680434830731766546547964413446322722541536117648521042615332671<178>

603995007815542828752105464593207806625236494552824032932441813404220106488478023460433<87>
15829043502654270363773103664766968709057579912089413381395155750336651130609747673854675087<92>

Number: 43331_184
N=9560663254098233461541827570790644052609241057635870078823255916230351090353195169982341454969680562796532244476749680434830731766546547964413446322722541536117648521042615332671
  ( 178 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=603995007815542828752105464593207806625236494552824032932441813404220106488478023460433
 r2=15829043502654270363773103664766968709057579912089413381395155750336651130609747673854675087
Version: 
Total time: 382.28 hours.
Scaled time: 769.91 units (timescale=2.014).
Factorization parameters were as follows:
n: 9560663254098233461541827570790644052609241057635870078823255916230351090353195169982341454969680562796532244476749680434830731766546547964413446322722541536117648521042615332671
m: 1000000000000000000000000000000000000
deg: 5
c5: 130000
c0: -7
skew: 0.14
type: snfs
lss: 1
rlim: 8500000
alim: 8500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5Factor base limits: 8500000/8500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4250000, 8550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1685873 x 1686121
Total sieving time: 382.28 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,185,5,0,0,0,0,0,0,0,0,8500000,8500000,28,28,54,54,2.5,2.5,100000
total time: 382.28 hours.
 --------- CPU info (if available) ----------

733948552460448618528202390598108090954358465018111274773973881250020452538764819159568981388737918302296070074371581862744691102528174701205969173398225204897618501<165>

2267180036234447141280701752917889<34>

323727512032728409566065549304498685213258027853771402670265835962965506247762803100126933161757433369766377101984695411470824717509<132>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=980914334
Step 1 took 13664ms
Step 2 took 13602ms
********** Factor found in step 2: 2267180036234447141280701752917889
Found probable prime factor of 34 digits: 2267180036234447141280701752917889
Composite cofactor has 132 digits

GMP-ECM 6.2.1

323727512032728409566065549304498685213258027853771402670265835962965506247762803100126933161757433369766377101984695411470824717509<132>

20879604069514860542822899392523262480285591<44>
15504485188269676183285648697795463323805118721867292083102354493092725013534549954884099<89>

N = 323727512032728409566065549304498685213258027853771402670265835962965506247762803100126933161757433369766377101984695411470824717509 (132 digits)
Divisors found:
r1=20879604069514860542822899392523262480285591 (pp44)
r2=15504485188269676183285648697795463323805118721867292083102354493092725013534549954884099 (pp89)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 34.91 hours.
Factorization parameters were as follows:
n: 323727512032728409566065549304498685213258027853771402670265835962965506247762803100126933161757433369766377101984695411470824717509
Y0: -22575957782022702835479511
Y1: 378526153680287
c0: 1732761037465815186048895108226640
c1: -14734437628313806538044123782
c2: -29254563765063109376435
c3: 96468658336183976
c4: 72852898076
c5: 55200
skew: 571494.87
type: gnfs
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 20629141
Relations: 2849456 relations
Pruned matrix : 1627250 x 1627477
Polynomial selection time: 0.00 hours.
Total sieving time: 31.86 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.61 hours.
time per square root: 0.32 hours.
Prototype def-par.txt line would be: gnfs,131,5,65,2000,1e-05,0.28,250,20,50000,3600,8000000,8000000,28,28,55,55,2.5,2.5,100000
total time: 34.91 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

57282323864565198520706017860628580971428898756136368943991546891530632163319836736564320779251108523125094460755218970495637510404452863477275000539775744108402832214345168302077013<182>

4621636202770150308574184509740627534498826420127262707612729<61>
12394381849058326533133616843178663059816232578757698684763135584464171107781199862640891030032321710302395320971040108797<122>

Number: 43331_187
N=57282323864565198520706017860628580971428898756136368943991546891530632163319836736564320779251108523125094460755218970495637510404452863477275000539775744108402832214345168302077013
  ( 182 digits)
SNFS difficulty: 189 digits.
Divisors found:
 r1=4621636202770150308574184509740627534498826420127262707612729 (pp61)
 r2=12394381849058326533133616843178663059816232578757698684763135584464171107781199862640891030032321710302395320971040108797 (pp122)
Version: Msieve-1.40
Total time: 314.92 hours.
Scaled time: 547.65 units (timescale=1.739).
Factorization parameters were as follows:
n: 57282323864565198520706017860628580971428898756136368943991546891530632163319836736564320779251108523125094460755218970495637510404452863477275000539775744108402832214345168302077013
m: 20000000000000000000000000000000000000
deg: 5
c5: 325
c0: -56
skew: 0.70
type: snfs
lss: 1
rlim: 9900000
alim: 9900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9900000/9900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4950000, 10050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2086172 x 2086398
Total sieving time: 307.66 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 6.69 hours.
Time per square root: 0.33 hours.
Prototype def-par.txt line would be:
snfs,189.000,5,0,0,0,0,0,0,0,0,9900000,9900000,28,28,54,54,2.5,2.5,100000
total time: 314.92 hours.

GGNFS, Msieve

1254574698482005303955936907631859560689545972036650708598387776432085788858723597951845772059029293491323061462707492967036992114685358747086499453972910321881978536268469662751<178>

2245261066915771760854892557097118909898802315315767<52>
558765622834838541500499191857841157291575238518403729869406431332663451372497577388000246254345757447959819896450010325291353<126>

Factors:
2245261066915771760854892557097118909898802315315767
558765622834838541500499191857841157291575238518403729869406431332663451372497577388000246254345757447959819896450010325291353

20:08:46 2020  Msieve v. 1.54 (SVN 1032M)
20:08:46 2020  random seeds: 9d457748 a1f26672
20:08:46 2020  factoring 1254574698482005303955936907631859560689545972036650708598387776432085788858723597951845772059029293491323061462707492967036992114685358747086499453972910321881978536268469662751 (178 digits)
20:08:48 2020  searching for 15-digit factors
20:08:48 2020  commencing number field sieve (178-digit input)
20:08:48 2020  R0: -100000000000000000000000000000000000000
20:08:48 2020  R1: 1
20:08:48 2020  A0: -7
20:08:48 2020  A1: 0
20:08:48 2020  A2: 0
20:08:48 2020  A3: 0
20:08:48 2020  A4: 0
20:08:48 2020  A5: 1300
20:08:48 2020  skew 1.00, size 1.111e-13, alpha 1.273, combined = 2.158e-11 rroots = 1
20:08:48 2020  
20:08:48 2020  commencing relation filtering
20:08:48 2020  estimated available RAM is 48213.5 MB
20:08:48 2020  commencing duplicate removal, pass 1
20:12:34 2020  found 2020331 hash collisions in 34319833 relations
20:13:06 2020  added 725480 free relations
20:13:06 2020  commencing duplicate removal, pass 2
20:13:16 2020  found 0 duplicates and 35045313 unique relations
20:13:16 2020  memory use: 98.6 MB
20:13:16 2020  reading ideals above 720000
20:13:16 2020  commencing singleton removal, initial pass
20:16:47 2020  memory use: 753.0 MB
20:16:47 2020  reading all ideals from disk
20:16:48 2020  memory use: 1156.3 MB
20:16:52 2020  keeping 38942854 ideals with weight <= 200, target excess is 184993
20:16:55 2020  commencing in-memory singleton removal
20:16:59 2020  begin with 35045313 relations and 38942854 unique ideals
20:17:24 2020  reduce to 11921209 relations and 11560874 ideals in 18 passes
20:17:24 2020  max relations containing the same ideal: 98
20:17:31 2020  removing 729417 relations and 656545 ideals in 72872 cliques
20:17:31 2020  commencing in-memory singleton removal
20:17:32 2020  begin with 11191792 relations and 11560874 unique ideals
20:17:40 2020  reduce to 11150995 relations and 10863152 ideals in 8 passes
20:17:40 2020  max relations containing the same ideal: 97
20:17:45 2020  removing 547217 relations and 474345 ideals in 72872 cliques
20:17:46 2020  commencing in-memory singleton removal
20:17:47 2020  begin with 10603778 relations and 10863152 unique ideals
20:17:54 2020  reduce to 10578028 relations and 10362861 ideals in 8 passes
20:17:54 2020  max relations containing the same ideal: 91
20:18:02 2020  relations with 0 large ideals: 3793
20:18:02 2020  relations with 1 large ideals: 6898
20:18:02 2020  relations with 2 large ideals: 64688
20:18:02 2020  relations with 3 large ideals: 343672
20:18:02 2020  relations with 4 large ideals: 1106506
20:18:02 2020  relations with 5 large ideals: 2243646
20:18:02 2020  relations with 6 large ideals: 3018461
20:18:02 2020  relations with 7+ large ideals: 3790364
20:18:02 2020  commencing 2-way merge
20:18:09 2020  reduce to 6406809 relation sets and 6191642 unique ideals
20:18:09 2020  commencing full merge
20:20:12 2020  memory use: 703.7 MB
20:20:13 2020  found 2939596 cycles, need 2935842
20:20:14 2020  weight of 2935842 cycles is about 264363419 (90.05/cycle)
20:20:14 2020  distribution of cycle lengths:
20:20:14 2020  1 relations: 277479
20:20:14 2020  2 relations: 279483
20:20:14 2020  3 relations: 287058
20:20:14 2020  4 relations: 262874
20:20:14 2020  5 relations: 245061
20:20:14 2020  6 relations: 218765
20:20:14 2020  7 relations: 193284
20:20:14 2020  8 relations: 167338
20:20:14 2020  9 relations: 146326
20:20:14 2020  10+ relations: 858174
20:20:14 2020  heaviest cycle: 28 relations
20:20:15 2020  commencing cycle optimization
20:20:20 2020  start with 21983959 relations
20:21:02 2020  pruned 678736 relations
20:21:02 2020  memory use: 654.9 MB
20:21:02 2020  distribution of cycle lengths:
20:21:02 2020  1 relations: 277479
20:21:02 2020  2 relations: 286580
20:21:02 2020  3 relations: 298100
20:21:02 2020  4 relations: 270834
20:21:02 2020  5 relations: 252568
20:21:02 2020  6 relations: 223202
20:21:02 2020  7 relations: 196773
20:21:02 2020  8 relations: 168992
20:21:02 2020  9 relations: 147225
20:21:02 2020  10+ relations: 814089
20:21:02 2020  heaviest cycle: 28 relations
20:21:08 2020  RelProcTime: 740
20:21:08 2020  elapsed time 00:12:22
20:21:09 2020  
20:21:09 2020  
20:21:09 2020  Msieve v. 1.54 (SVN 1032M)
20:21:09 2020  random seeds: 2af7a25e 6950bb8c
20:21:09 2020  factoring 1254574698482005303955936907631859560689545972036650708598387776432085788858723597951845772059029293491323061462707492967036992114685358747086499453972910321881978536268469662751 (178 digits)
20:21:10 2020  searching for 15-digit factors
20:21:10 2020  commencing number field sieve (178-digit input)
20:21:10 2020  R0: -100000000000000000000000000000000000000
20:21:10 2020  R1: 1
20:21:10 2020  A0: -7
20:21:10 2020  A1: 0
20:21:10 2020  A2: 0
20:21:10 2020  A3: 0
20:21:10 2020  A4: 0
20:21:10 2020  A5: 1300
20:21:10 2020  skew 1.00, size 1.111e-13, alpha 1.273, combined = 2.158e-11 rroots = 1
20:21:10 2020  
20:21:10 2020  commencing linear algebra
20:21:11 2020  read 2935842 cycles
20:21:18 2020  cycles contain 10367046 unique relations
20:21:56 2020  read 10367046 relations
20:22:10 2020  using 20 quadratic characters above 4294917295
20:23:07 2020  building initial matrix
20:24:42 2020  memory use: 1263.0 MB
20:24:44 2020  read 2935842 cycles
20:24:44 2020  matrix is 2935665 x 2935842 (1081.9 MB) with weight 312536838 (106.46/col)
20:24:44 2020  sparse part has weight 251306279 (85.60/col)
20:25:16 2020  filtering completed in 2 passes
20:25:17 2020  matrix is 2935105 x 2935282 (1081.8 MB) with weight 312517274 (106.47/col)
20:25:17 2020  sparse part has weight 251299459 (85.61/col)
20:25:39 2020  matrix starts at (0, 0)
20:25:39 2020  matrix is 2935105 x 2935282 (1081.8 MB) with weight 312517274 (106.47/col)
20:25:39 2020  sparse part has weight 251299459 (85.61/col)
20:25:39 2020  saving the first 48 matrix rows for later
20:25:40 2020  matrix includes 64 packed rows
20:25:40 2020  matrix is 2935057 x 2935282 (1028.3 MB) with weight 259200585 (88.31/col)
20:25:40 2020  sparse part has weight 240215216 (81.84/col)
20:25:40 2020  using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
20:25:50 2020  commencing Lanczos iteration (8 threads)
20:25:50 2020  memory use: 982.9 MB
20:25:57 2020  linear algebra at 0.1%, ETA 3h12m
20:25:59 2020  checkpointing every 920000 dimensions
23:34:36 2020  lanczos halted after 46415 iterations (dim = 2935057)
23:34:40 2020  recovered 40 nontrivial dependencies
23:34:40 2020  BLanczosTime: 11610
23:34:40 2020  elapsed time 03:13:31
23:34:40 2020  
23:34:40 2020  
23:34:40 2020  Msieve v. 1.54 (SVN 1032M)
23:34:40 2020  random seeds: d874f8ce e26f3971
23:34:40 2020  factoring 1254574698482005303955936907631859560689545972036650708598387776432085788858723597951845772059029293491323061462707492967036992114685358747086499453972910321881978536268469662751 (178 digits)
23:34:41 2020  searching for 15-digit factors
23:34:41 2020  commencing number field sieve (178-digit input)
23:34:41 2020  R0: -100000000000000000000000000000000000000
23:34:41 2020  R1: 1
23:34:41 2020  A0: -7
23:34:41 2020  A1: 0
23:34:41 2020  A2: 0
23:34:41 2020  A3: 0
23:34:41 2020  A4: 0
23:34:41 2020  A5: 1300
23:34:41 2020  skew 1.00, size 1.111e-13, alpha 1.273, combined = 2.158e-11 rroots = 1
23:34:41 2020  
23:34:41 2020  commencing square root phase
23:34:41 2020  reading relations for dependency 1
23:34:42 2020  read 1467588 cycles
23:34:44 2020  cycles contain 5182308 unique relations
23:35:05 2020  read 5182308 relations
23:35:27 2020  multiplying 5182308 relations
23:38:31 2020  multiply complete, coefficients have about 165.25 million bits
23:38:32 2020  initial square root is modulo 851831
23:42:12 2020  GCD is 1, no factor found
23:42:12 2020  reading relations for dependency 2
23:42:12 2020  read 1466304 cycles
23:42:14 2020  cycles contain 5181152 unique relations
23:42:35 2020  read 5181152 relations
23:42:56 2020  multiplying 5181152 relations
23:46:01 2020  multiply complete, coefficients have about 165.21 million bits
23:46:01 2020  initial square root is modulo 849131
23:49:43 2020  sqrtTime: 902
23:49:43 2020  p52 factor: 2245261066915771760854892557097118909898802315315767
23:49:43 2020  p126 factor: 558765622834838541500499191857841157291575238518403729869406431332663451372497577388000246254345757447959819896450010325291353
23:49:43 2020  elapsed time 00:15:03

CADO-NFS/Msieve

28109546056644094312376262786707118425362815534785209614614715840678191324651207556692653629381445523468398257738331178374003726318236938099488167159897154156260085468962725406427<179>

7709568588244219307028066227297<31>

3646059534317701069724515171275791765391252664992167269599666190068435969269326867841860958544963686066522189227458537555849678015726858695874479291<148>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2528423854
Step 1 took 15951ms
Step 2 took 14697ms
********** Factor found in step 2: 7709568588244219307028066227297
Found probable prime factor of 31 digits: 7709568588244219307028066227297
Composite cofactor has 148 digits

GMP-ECM 6.2.1

3646059534317701069724515171275791765391252664992167269599666190068435969269326867841860958544963686066522189227458537555849678015726858695874479291<148>

434477757352016440799237399204359631080357<42>
8391820922063087655176079522879527661143606479686396290223111906612878553035436711768983780661620835082463<106>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3531833614
Step 1 took 13328ms
Step 2 took 7203ms
********** Factor found in step 2: 434477757352016440799237399204359631080357
Found prime factor of 42 digits: 434477757352016440799237399204359631080357
Prime cofactor 8391820922063087655176079522879527661143606479686396290223111906612878553035436711768983780661620835082463 has 106 digits

555069224755299876870947847381423927057507665100595494140841961861534249062252412765634522830092348910087092058098648225242950027149617714787352431853508571054366559<165>

66007507859850270736596089399561<32>

8409183178583936583030174346844415915814492342050749419119294169308338808320971385476178209350780286513505479940764510332776202970919<133>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=230614363
Step 1 took 13630ms
Step 2 took 13457ms
********** Factor found in step 2: 66007507859850270736596089399561
Found probable prime factor of 32 digits: 66007507859850270736596089399561
Composite cofactor 8409183178583936583030174346844415915814492342050749419119294169308338808320971385476178209350780286513505479940764510332776202970919 has 133 digits

GMP-ECM 6.2.1

8409183178583936583030174346844415915814492342050749419119294169308338808320971385476178209350780286513505479940764510332776202970919<133>

4448855391179499901841920088701<31>
1890190271245129714956635517993862966113876278013600663354393732491301918077570212567736137795152565619<103>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1699384495
Step 1 took 9871ms
Step 2 took 10861ms
********** Factor found in step 2: 4448855391179499901841920088701
Found probable prime factor of 31 digits: 4448855391179499901841920088701
Probable prime cofactor has 103 digits

GMP-ECM 6.2.1

13490573440956107742608705214624686655243987364704838828495531265158058257915636258293232491770403053642803659468381031826497136798727869667485257021018883187965109658506337<173>

24395397638164241653845970398130904163007709<44>

552996661134615388818146237016907169289621739079804684149032267799092441330644303087373454710100515287577882374055274976024996693<129>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=451112346
Step 1 took 25226ms
Step 2 took 13806ms
********** Factor found in step 2: 24395397638164241653845970398130904163007709
Found probable prime factor of 44 digits: 24395397638164241653845970398130904163007709
Composite cofactor 552996661134615388818146237016907169289621739079804684149032267799092441330644303087373454710100515287577882374055274976024996693 has 129 digits

GMP-ECM 6.3

552996661134615388818146237016907169289621739079804684149032267799092441330644303087373454710100515287577882374055274976024996693<129>

5337839239519519026409953856428164208281095049<46>
103599347286523545446016162761617991851194894611854795291055034869817357160988226157<84>

GMP-ECM 6.2 [powered by GMP 4.3.2] [ECM]
Input number is 552996661134615388818146237016907169289621739079804684149032267799092441330644303087373454710100515287577882374055274976024996693 (129 digits)
Using B1=8000000, B2=23420528050, polynomial Dickson(12), sigma=174395323
Step 1 took 33160ms
Step 2 took 14450ms
********** Factor found in step 2: 5337839239519519026409953856428164208281095049
Found probable prime factor of 46 digits: 5337839239519519026409953856428164208281095049
Probable prime cofactor 103599347286523545446016162761617991851194894611854795291055034869817357160988226157 has 84 digits

61624091464853519099391480991392103655273229354570400731880121733654818930135836088976923252178333729254518827579008894890890139106634780595771645691729280073528977442124350864995345517<185>

3343469198488755050477873237898455400783028393637352737262141416081848308493849<79>
18431182644873041087136600150725630553072839962113050549796161611819654292988261839587342173701666904476533<107>

N=61624091464853519099391480991392103655273229354570400731880121733654818930135836088976923252178333729254518827579008894890890139106634780595771645691729280073528977442124350864995345517
  ( 185 digits)
SNFS difficulty: 201 digits.
Divisors found:
 r1=3343469198488755050477873237898455400783028393637352737262141416081848308493849 (pp79)
 r2=18431182644873041087136600150725630553072839962113050549796161611819654292988261839587342173701666904476533 (pp107)
Version: Msieve v. 1.48
Total time:
Scaled time: 212.63 units (timescale=2.035).
Factorization parameters were as follows:
n: 61624091464853519099391480991392103655273229354570400731880121733654818930135836088976923252178333729254518827579008894890890139106634780595771645691729280073528977442124350864995345517
m: 10000000000000000000000000000000000000000
deg: 5
c5: 13
c0: -7
skew: 0.88
type: snfs
lss: 1
rlim: 15700000
alim: 15700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 320000
Factor base limits: 15700000/15700000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [7850000, 17130001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3276524 x 3276754
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,201.000,5,0,0,0,0,0,0,0,0,15700000,15700000,29,29,56,56,2.6,2.6,100000
total time:

415499847586657923525701152752258117085927890274878171782781364057316769704715904469055372687224139151896069938912519260009338352611198153583825201200790750079817564061<168>

598529442111588666037564119600278918900912884461251653527570335113<66>
694201184357432059961317969183017700944360758735939483258862492897341616642206683146965212409459783797<102>

Number: n
N=415499847586657923525701152752258117085927890274878171782781364057316769704715904469055372687224139151896069938912519260009338352611198153583825201200790750079817564061  ( 168 digits)
SNFS difficulty: 202 digits.
Divisors found:

Thu Jan 27 23:50:14 2022  p66 factor: 598529442111588666037564119600278918900912884461251653527570335113
Thu Jan 27 23:50:14 2022  p102 factor: 694201184357432059961317969183017700944360758735939483258862492897341616642206683146965212409459783797
Thu Jan 27 23:50:14 2022  elapsed time 01:24:00 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.299).
Factorization parameters were as follows:
#
# N = 13x10^201-7 = 43(200)1
#
n: 415499847586657923525701152752258117085927890274878171782781364057316769704715904469055372687224139151896069938912519260009338352611198153583825201200790750079817564061
m: 10000000000000000000000000000000000000000
deg: 5
c5: 130
c0: -7
skew: 0.56
# Murphy_E = 1.287e-11
type: snfs
lss: 1
rlim: 16400000
alim: 16400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 16400000/16400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 35400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5449177 hash collisions in 36904035 relations (32546140 unique)
Msieve: matrix is 1916833 x 1917058 (662.7 MB)

Sieving start time : 2022/01/27 09:49:10
Sieving end time  : 2022/01/27 22:25:34

Total sieving time: 12hrs 36min 24secs.
Total relation processing time: 1hrs 11min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 12sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16400000,16400000,28,28,55,55,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119028] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.153529] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084)
[    0.152048] smpboot: Total of 16 processors activated (102384.67 BogoMIPS)

13171862666647980902036082150753552747334353800922646212480880011302377738198212493884746922383586482043579029971774297320993899925517765277589314273779790018888889316556666116906730929153<188>

63444856538474819856481993655770160539<38>
207611197901601014143416821146774403219826219131558291970037945989725439970919940184172631734257013957795695677276118342125803124864277075013790561427<150>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3263277877
Step 1 took 12681ms
Step 2 took 11857ms
********** Factor found in step 2: 63444856538474819856481993655770160539
Found probable prime factor of 38 digits: 63444856538474819856481993655770160539
Probable prime cofactor has 150 digits

GMP-ECM 6.2.1

521524461079867470597760546097997222773718583408783655292310411281392895965268821394722927319243036136502623595489420167956297176985764757007486129650974687732545831001993934433<177>

26308325916731982485427287860457<32>
19823551780928035006602671905281634246612561791914656475871110593336489297213306083897826212562111916418038463405766923512493202714696938292099769<146>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1594125605
Step 1 took 16110ms
Step 2 took 14725ms
********** Factor found in step 2: 26308325916731982485427287860457
Found probable prime factor of 32 digits: 26308325916731982485427287860457
Probable prime cofactor has 146 digits

GMP-ECM 6.2.1

4437838099034071599746408860034204876464931693103408908895765821959510067843080808952940081884538821999789618983690667604152678498398287765691047722477290857<157>

40589730945780863238033429715835834357224848768015232119383<59>
109334011229640011837985559573643001709523499270354310744521805887424822122976932463693145840201279<99>

Number: n
N=4437838099034071599746408860034204876464931693103408908895765821959510067843080808952940081884538821999789618983690667604152678498398287765691047722477290857  ( 157 digits)
SNFS difficulty: 207 digits.
Divisors found:

Tue Jun  4 16:07:08 2024  prp59 factor: 40589730945780863238033429715835834357224848768015232119383
Tue Jun  4 16:07:08 2024  prp99 factor: 109334011229640011837985559573643001709523499270354310744521805887424822122976932463693145840201279
Tue Jun  4 16:07:08 2024  elapsed time 03:14:17 (Msieve 1.44 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.950).
Factorization parameters were as follows:
#
# N = 13x10^206-7 = 43(205)1
#
n: 4437838099034071599746408860034204876464931693103408908895765821959510067843080808952940081884538821999789618983690667604152678498398287765691047722477290857
m: 100000000000000000000000000000000000000000
deg: 5
c5: 130
c0: -7
skew: 0.56
# Murphy_E = 7.93e-12
type: snfs
lss: 1
rlim: 19800000
alim: 19800000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19800000/19800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 49900000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 4534488 hash collisions in 21200844 relations (16779235 unique)
Msieve: matrix is 2440000 x 2440226 (687.7 MB)

Sieving start time: 2024/06/03 17:37:44
Sieving end time  : 2024/06/04 12:52:27

Total sieving time: 19hrs 14min 43secs.

Total relation processing time: 3hrs 2min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 18sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,19800000,19800000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

819253384878710445141278968092523968759544855520679499295285633664619084064143933884265163433634433172557290993829321134703167199524536325881361684920655738868741333115566103838732299328291098964379<198>

12393792499341726360811346573<29>
66101912301841715641886172689845138084026577347939483054736357261315176691157157226048814925021380700956591779759619108042202694011626597733570529970858242108104138868423<170>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=60045145
Step 1 took 34971ms
Step 2 took 12236ms
********** Factor found in step 2: 12393792499341726360811346573
Found probable prime factor of 29 digits: 12393792499341726360811346573

633474163249942848434232775914473105011891822439037072223356060912237204929349835590563051577855814918170308827443805530725354451279895396058045134962178130415990681800149018600691<180>

18745786710179382371244560423498367076944692085850910713395379061224470350499716000777029539994413118116964067602774827695913619042294538504250108616858349204899335767054729890672879<182>

6860900085583301087440078848541<31>

2732263475104323737581932675081709921989508537674674852113874343714848541108668535247381669433916705097590847831485843042050930643152575124499742986619<151>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2860551934
Step 1 took 28492ms
Step 2 took 10796ms
********** Factor found in step 2: 6860900085583301087440078848541
Found probable prime factor of 31 digits: 6860900085583301087440078848541

15734553473881796512686280879307801359972072765246212543803166216507748705378187660313691828504023058441037652988591493765074859625421791787454630640537707401703282116381392131636126449083233685498420539499761<209>

1824778512306633006039646712039034210839<40>
8622719616526143133602309676384068491570317022156595577319803696012154302564840482246162983855222799914858652320974947388116377230025979820223615150319314966625285625399<169>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2853018485
Step 1 took 15658ms
Step 2 took 6184ms
********** Factor found in step 2: 1824778512306633006039646712039034210839
Found probable prime factor of 40 digits: 1824778512306633006039646712039034210839
Probable prime cofactor 8622719616526143133602309676384068491570317022156595577319803696012154302564840482246162983855222799914858652320974947388116377230025979820223615150319314966625285625399 has 169 digits

GMP-ECM 6.3

72772749451676497458441731311710360287106971683791303127665283860527208587510139048611761450551290993257895061792280672373164214634499485185021739038787821324881759886501641585247124542301562160537071<200>

552087314732237652354864738607890601775173058139041066802565082600755934938633371554762814795940034823969083110374994691468127574637958126300590308744213700259056355374357667643436531192933282371427358049857731345819<216>

8419131637424957071478537566854676904897614615433940520849095110433037<70>
65575327540679353936787928776475276581387815270767224994519373173646861257062309451876547437826992150628242812652057662181192907025746421486466887<146>

Number: n
N=552087314732237652354864738607890601775173058139041066802565082600755934938633371554762814795940034823969083110374994691468127574637958126300590308744213700259056355374357667643436531192933282371427358049857731345819
  ( 216 digits)
SNFS difficulty: 220 digits.
Divisors found:

Fri Apr 13 04:14:15 2018  p70 factor: 8419131637424957071478537566854676904897614615433940520849095110433037
Fri Apr 13 04:14:15 2018  p146 factor: 65575327540679353936787928776475276581387815270767224994519373173646861257062309451876547437826992150628242812652057662181192907025746421486466887
Fri Apr 13 04:14:15 2018  elapsed time 09:58:34 (Msieve 1.53 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.108).
Factorization parameters were as follows:
#
# 13x10^219-7 43(218)1
#
n: 552087314732237652354864738607890601775173058139041066802565082600755934938633371554762814795940034823969083110374994691468127574637958126300590308744213700259056355374357667643436531192933282371427358049857731345819
m: 1000000000000000000000000000000000000
deg: 6
c6: 13000
c0: -7
skew: 0.29
# Murphy_E = 2.033e-12
type: snfs
lss: 1
rlim: 33000000
alim: 33000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 33000000/33000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 75700000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 12508400 hash collisions in 66142517 relations (54474542 unique)
Msieve: matrix is 4766400 x 4766625 (1356.8 MB)

Sieving start time: 2018/04/10 19:04:34
Sieving end time  : 2018/04/12 18:13:42

Total sieving time: 47hrs 9min 8secs.

Total relation processing time: 9hrs 16min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 21min 33sec.

Prototype def-par.txt line would be:
snfs,220,6,0,0,0,0,0,0,0,0,33000000,33000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.064000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16292592K/16703460K available (12300K kernel code, 2482K rwdata, 4000K rodata, 2372K init, 2368K bss, 410868K reserved, 0K cma-reserved)
[    0.096647] x86/mm: Memory block size: 128MB
[    0.004000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.84 BogoMIPS (lpj=11977684)
[    0.094230] smpboot: Total of 16 processors activated (95821.47 BogoMIPS)

3125994081146622323719242352333630326817150578966566074581746200011537322770262687622465326774228275621591298829139680019879398667427196980501323365548145106048267128024919270601701680565677965235627454701881038083<214>

2762534966730769363905815221391722441<37>

1131567244864949755706595159129634816013291819153621944894624164017415396398456795642711701914228584511188320487879987480776115448309276153121018750135148949713631877914156512363<178>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=3887714273
Step 1 took 14037ms
Step 2 took 5396ms
********** Factor found in step 2: 2762534966730769363905815221391722441
Found probable prime factor of 37 digits: 2762534966730769363905815221391722441
Composite cofactor 113156724486... has 178 digits

1131567244864949755706595159129634816013291819153621944894624164017415396398456795642711701914228584511188320487879987480776115448309276153121018750135148949713631877914156512363<178>

6678646435911184240493536182991195797097951131824423209577701343908546967227972703026289<88>
169430625759808954410879675522193874989730443340336053375765299066610418661660739144359067<90>

Number: 43331_220
N = 1131567244864949755706595159129634816013291819153621944894624164017415396398456795642711701914228584511188320487879987480776115448309276153121018750135148949713631877914156512363 (178 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=6678646435911184240493536182991195797097951131824423209577701343908546967227972703026289 (pp88)
r2=169430625759808954410879675522193874989730443340336053375765299066610418661660739144359067 (pp90)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 50.90 hours.
Factorization parameters were as follows:
n: 1131567244864949755706595159129634816013291819153621944894624164017415396398456795642711701914228584511188320487879987480776115448309276153121018750135148949713631877914156512363
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 13
c0: -7
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30330466
Relations: 8318254 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 20.31 hours.
Total relation processing time: 0.30 hours.
Pruned matrix : 7157831 x 7158057
Matrix solve time: 29.93 hours.
time per square root: 0.36 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 50.90 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

1031516520224638356841404662917098269780033996050517801096313163017373192586161135463039583317182636855477890425855082231438266658205600295311544396658271634394922427284037045030956123<184>

160179154839706491632732970401875999666783<42>

6439767529407252068471085076210046228291645640284170488416452524012159850560457634526795318280971065705261341579186641495831146544485507374981<142>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1400133504
Step 1 took 15745ms
Step 2 took 12166ms
********** Factor found in step 2: 160179154839706491632732970401875999666783
Found probable prime factor of 42 digits: 160179154839706491632732970401875999666783
Composite cofactor 

6439767529407252068471085076210046228291645640284170488416452524012159850560457634526795318280971065705261341579186641495831146544485507374981<142>

648932392047224530174361993266816353431010665768493407659<57>
9923633969158705698659631872513651924136629091307264826764542000909771185503248770959<85>

Number: 43331_221
N = 6439767529407252068471085076210046228291645640284170488416452524012159850560457634526795318280971065705261341579186641495831146544485507374981 (142 digits)
Divisors found:
r1=648932392047224530174361993266816353431010665768493407659 (pp57)
r2=9923633969158705698659631872513651924136629091307264826764542000909771185503248770959 (pp85)
Version: Msieve v. 1.51 (SVN 845)
Total time: 449.57 hours.
Factorization parameters were as follows:
# Murphy_E = 1.68781017e-11, selected by Maksym Voznyy
# selected by CADO-NFS
n: 6439767529407252068471085076210046228291645640284170488416452524012159850560457634526795318280971065705261341579186641495831146544485507374981
Y0: -1797615271843851206573530936
Y1: 139708208307698875703
c0: -16178952365380247148437196760050
c1: 60724764796182665108793855
c2: 10855479634644564114028
c3: 1404275455452705
c4: -355483987938
c5: 713760
skew: 171789.9503
type: gnfs
# selected mechanically
rlim: 20000000
alim: 20000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23243886
Relations: 4144010 relations
Pruned matrix : 2563118 x 2563343
Polynomial selection time: 0.00 hours.
Total sieving time: 442.29 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 6.64 hours.
time per square root: 0.43 hours.
Prototype def-par.txt line would be: gnfs,141,5,65,2000,1e-05,0.28,250,20,50000,3600,20000000,20000000,28,28,56,56,2.6,2.6,100000
total time: 449.57 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz

GGNFS, Msieve

7281252852553374160882017496908005257111435716258744377493461902922509597280931878149999936524469657662844297770424774931618000575387258459215280317273311944956599<163>

6521320708677584562714492757787301809892538776495187475131707020939233835755917472346007647432867681382867881236945304421431260400342506428197742858088159314828647283455827237583154434078633315426857012518517<208>

6665500433064976277483966880811353193947599743097937434798525985302014699136919880946437296597851931815907406323625609370154006019697794444367856724617173159274391<163>

88653520220228299296296646741467764395583376661526779406056835218798941878987331652924417194231699726018735270781626955287517867111561290815598604262746788651194169240332440176363326397309925713250216276273795113<212>

770013870970268004651547946877118096562198198260733334726173423385629002051973076834294468854545387555695570889068237605969540923903320881543932582521739915074966105176327<171>

291418853675045361809747627221320833569702815878174229573715377049890698023240621976727453831641377409009036193530639155520031994549440450057980256446828070601589102268958430389479389420052046247<195>

2358730295708139533993291253960699506296954494790458104936166796291475015120764945962804367748991175702811600655038680501134257302438047618879865899111959062994884550356363397589751709808668217346247<199>

788318188053794014890428111035420420814282675895201937999884150976546264581039578283652391690223208310232676162067316974978923584715831396194643718495216614960113982951308409325022615139<186>

18236034945024516877237444324586715053715557<44>
43228596042413110472799063680048715213201744457926381034799102680192177048013816983442308070670707368889266694758619750914755660597355412204327<143>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3584035923
Step 1 took 15031ms
Step 2 took 6363ms
********** Factor found in step 2: 18236034945024516877237444324586715053715557
Found probable prime factor of 44 digits: 18236034945024516877237444324586715053715557
Probable prime cofactor

95456676773373197431968244100608303919201201582454006090743884395993046456752752649609601723721229843438177373305230124363704838099061258006206955586331593238139567606073012779<176>

17915826191319075560885121855190406357<38>

5328064458429816784130838372872384514719622349317907565135432057705460997368179882189686994730313932668694445503602618269161358222021602047<139>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1036154946
Step 1 took 31567ms
Step 2 took 11180ms
********** Factor found in step 2: 17915826191319075560885121855190406357
Found probable prime factor of 38 digits: 17915826191319075560885121855190406357

5328064458429816784130838372872384514719622349317907565135432057705460997368179882189686994730313932668694445503602618269161358222021602047<139>

2168320538268766234919333439295272151<37>
2457231006391637128982409472695869212446019472793682708180898456388076939297010761531356822560916393497<103>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3162001409
Step 1 took 21468ms
Step 2 took 8774ms
********** Factor found in step 2: 2168320538268766234919333439295272151
Found probable prime factor of 37 digits: 2168320538268766234919333439295272151

327593007958281708782566226987984032180049479480345299889013641926060592385442975891958773130885249306535554296895430802900250911772066068230216663640577<153>

26279967745959861104751234935579501620083493<44>
12465502664425608777466602614732279636581341448446339312678915198401963458200938237869138734443463687646562989<110>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4141113211
Step 1 took 22455ms
Step 2 took 9170ms
********** Factor found in step 2: 26279967745959861104751234935579501620083493
Found probable prime factor of 44 digits: 26279967745959861104751234935579501620083493

174689247289348678737894370909908652422368010744426770989371939085721756646017847754307344424722570919707609228181470349594659392069326850231023603485725068062132517527<168>

1045163579292081138719271722648596053448466467793564103279213517092876904002276338986312205965847050564646450193238314845719472620307552863558621082284316919566784076581350424636562520461591790167089923922678440863137257<220>

5879017378910444040284705073810780312588912206333587794759927479865482950789621754514018599092377485493989237523674251531337757116655270702335529154403876095324654983351452126629870853046173458487685460411283663<211>

1325427443890100814439190894166901459897<40>
4435563339216559061054109094829564562461909808790722638224864606331701043347155525791351115000719644958112717044985100224448787943293889969465268546768256025043407030369479<172>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3984386390
Step 1 took 18949ms
Step 2 took 7351ms
********** Factor found in step 2: 1325427443890100814439190894166901459897
Found probable prime factor of 40 digits: 1325427443890100814439190894166901459897
Probable prime cofactor

433333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331<240>

1048612311867743390000020735366488697<37>

413244559909370640622308497859949754748564839402993472374070969563859650719793930191699547380691930115467796443517388982280523733721902813471319713605220816420071049604922675512132672850417965363314778923<204>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3711734171
Step 1 took 22329ms
Step 2 took 15873ms
********** Factor found in step 2: 1048612311867743390000020735366488697
Found probable prime factor of 37 digits: 1048612311867743390000020735366488697
Composite cofactor 413244559909... has 204 digits

72484681648617828325653495101552962503106421583466615521950709558117554761059622856577394256563376642435424499025452489297811808696850253624465288279772135138883742488866816520494021434659014569<194>

252431768358013184688627842494626576703425437<45>

287145639869764344899827878197313802582540157491470737078847530740785505487546273081930296093437671707653259930649824059621223579629645338834236378237<150>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3118096411
Step 1 took 35018ms
Step 2 took 12335ms
********** Factor found in step 2: 252431768358013184688627842494626576703425437
Found probable prime factor of 45 digits: 252431768358013184688627842494626576703425437

287145639869764344899827878197313802582540157491470737078847530740785505487546273081930296093437671707653259930649824059621223579629645338834236378237<150>

402920000348929551149961862225241213<36>
712661668869988158094014101603198668375504984155672396032526784798255585681050246849987545438430635327659596187649<114>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3480714510
Step 1 took 22459ms
Step 2 took 9170ms
********** Factor found in step 2: 402920000348929551149961862225241213
Found probable prime factor of 36 digits: 402920000348929551149961862225241213

189921002741822647611854775926933983729429821042841537115065303936330557788315899798716272861247317712352391213660476723440361734654380989278812806528417444465307<162>

783642649542624938900562221160800831<36>

242356644131952915693857958306561997141951434119821355798586963452163321943139645544433100857979163272057802064189622553413797<126>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=125117530
Step 1 took 26889ms
Step 2 took 9997ms
********** Factor found in step 2: 783642649542624938900562221160800831
Found probable prime factor of 36 digits: 783642649542624938900562221160800831

242356644131952915693857958306561997141951434119821355798586963452163321943139645544433100857979163272057802064189622553413797<126>

375626238470604615686008035999062109491462891411234375362249309<63>
645206908651348169160730885127315661547369667782755651982707433<63>

N = 242356644131952915693857958306561997141951434119821355798586963452163321943139645544433100857979163272057802064189622553413797 (126 digits)
Divisors found:
r1=375626238470604615686008035999062109491462891411234375362249309 (pp63)
r2=645206908651348169160730885127315661547369667782755651982707433 (pp63)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 18.86 hours.
Factorization parameters were as follows:
n: 242356644131952915693857958306561997141951434119821355798586963452163321943139645544433100857979163272057802064189622553413797
Y0: -2584890574796685030234625
Y1: 31203855047233
c0: 65219815947592200737902932232704
c1: 901218170185043975760679956
c2: -7370574428514092663673
c3: 3108310579549877
c4: 9942403361
c5: 2100
skew: 802565.39 
type: gnfs
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 18626736
Relations: 2121038 relations
Pruned matrix : 1171502 x 1171736
Polynomial selection time: 0.00 hours.
Total sieving time: 16.94 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.51 hours.
time per square root: 0.33 hours.
Prototype def-par.txt line would be: gnfs,125,5,65,2000,1e-05,0.28,250,20,50000,3600,5800000,5800000,28,28,55,55,2.5,2.5,100000
total time: 18.86 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

6409153098969902229618177648049721176713419168243674368873341206860182767690777580524358237369254436959338730977574986747684897743777942754616621959584943805305041581491188641249905948543341832188801968248430161383527261<220>

547186409573236691795150244760690128336258676061436406416392021180323176711746408563046397198405582985028138008830746825266542918355578565445599148072851556745335235858388157202446344163415116655933394786576254635300258019437744918532361867<240>

199618908005227662559813073295457450043122892023405451673742944265326639609459166074658038231245879740659801414474270721069514429341586463855075645256851743271586400802563618767883561227739104412634654011928236092319<216>

2042006765486325376110609810791715021374894548151<49>
97756242231492470735973599463898763795425965056758022298117940541656488342765947286868818664903413949636971231903400147013149935931780294446929113608054925382611834969<167>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2365819901
Step 1 took 21305ms
Step 2 took 14031ms
********** Factor found in step 2: 2042006765486325376110609810791715021374894548151
Found probable prime factor of 49 digits: 2042006765486325376110609810791715021374894548151
Probable prime cofactor 

56037666853127791315391934215266862181427824661843745336909614643066055195233104297286956822509894176790621662439529501900996560941631614475456457841<149>

2623547663769125898402387278374942065324157260447215135398779945915047249845792942749218110320838662932295963876003055125900385672094694367725145938379094977039234247<166>

4248304329359034829438734652620713745649764961092411328158395399507320225412544091720916614272819561642770003832918203739937200846459605163314573180886788627444863602846446252416014757014492106573759780344104350145007535070332295796110385233851<244>

1779781559696791369774001135985755899<37>

2386980754021739608450313558900142060508379928376283561837230554013144236224283032099393332962954978732831908982578110784024829762709395774206877885775149438290076857692767361302016677678098769816987779485249<208>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1711391015
Step 1 took 2921ms
Step 2 took 1297ms
********** Factor found in step 2: 1779781559696791369774001135985755899
Found prime factor of 37 digits: 1779781559696791369774001135985755899
Composite cofactor 2386980754021739608450313558900142060508379928376283561837230554013144236224283032099393332962954978732831908982578110784024829762709395774206877885775149438290076857692767361302016677678098769816987779485249 has 208 digits
 

GMP-ECM

3871625826303322352984584064236802994972168590990158712341947451855964468490511610506416717540921005646372977627402697088379595343828920742067732021874073203942215111633452292916795690391502509485545478529184680440774929365242300239346763<238>

1539997054839352604638496250288022683896679910676967904153572047204946112791849087778061282831030308550323338506274341409941051197168489890430949176306399195387996197002059923615177448876912347723615237399722757419<214>

1680237818275817500323122657360734134677523587953987333591831459221920641075352203696523200206798500710869846193615096290551893498772133902029210288225410365774848132351040454956701563913661625953211839214165697298694584464262634095902804704665891172289<253>