16054017025807092569396169499940205222006738243601515768240784071360787770700831969061<86>

28306816444502368825148383991347799490833<41>
567143149328791314070560484701937139507375317<45>

Mon Dec 15 15:27:04 2008  Msieve v. 1.39
Mon Dec 15 15:27:04 2008  random seeds: 651d427f 9761b85e
Mon Dec 15 15:27:04 2008  factoring 16054017025807092569396169499940205222006738243601515768240784071360787770700831969061 (86 digits)
Mon Dec 15 15:27:06 2008  searching for 15-digit factors
Mon Dec 15 15:27:07 2008  commencing quadratic sieve (86-digit input)
Mon Dec 15 15:27:07 2008  using multiplier of 29
Mon Dec 15 15:27:07 2008  using 64kb Pentium 4 sieve core
Mon Dec 15 15:27:07 2008  sieve interval: 7 blocks of size 65536
Mon Dec 15 15:27:07 2008  processing polynomials in batches of 15
Mon Dec 15 15:27:07 2008  using a sieve bound of 1451119 (55333 primes)
Mon Dec 15 15:27:07 2008  using large prime bound of 116089520 (26 bits)
Mon Dec 15 15:27:07 2008  using double large prime bound of 328569561530240 (41-49 bits)
Mon Dec 15 15:27:07 2008  using trial factoring cutoff of 49 bits
Mon Dec 15 15:27:07 2008  polynomial 'A' values have 11 factors
Mon Dec 15 16:19:16 2008  55637 relations (16439 full + 39198 combined from 566957 partial), need 55429
Mon Dec 15 16:19:19 2008  begin with 583396 relations
Mon Dec 15 16:19:19 2008  reduce to 129329 relations in 9 passes
Mon Dec 15 16:19:19 2008  attempting to read 129329 relations
Mon Dec 15 16:19:22 2008  recovered 129329 relations
Mon Dec 15 16:19:22 2008  recovered 107195 polynomials
Mon Dec 15 16:19:23 2008  attempting to build 55637 cycles
Mon Dec 15 16:19:23 2008  found 55637 cycles in 5 passes
Mon Dec 15 16:19:23 2008  distribution of cycle lengths:
Mon Dec 15 16:19:23 2008     length 1 : 16439
Mon Dec 15 16:19:23 2008     length 2 : 11435
Mon Dec 15 16:19:23 2008     length 3 : 9924
Mon Dec 15 16:19:23 2008     length 4 : 7013
Mon Dec 15 16:19:23 2008     length 5 : 4754
Mon Dec 15 16:19:23 2008     length 6 : 2805
Mon Dec 15 16:19:23 2008     length 7 : 1625
Mon Dec 15 16:19:23 2008     length 9+: 1642
Mon Dec 15 16:19:23 2008  largest cycle: 19 relations
Mon Dec 15 16:19:23 2008  matrix is 55333 x 55637 (12.3 MB) with weight 2995743 (53.84/col)
Mon Dec 15 16:19:23 2008  sparse part has weight 2995743 (53.84/col)
Mon Dec 15 16:19:24 2008  filtering completed in 3 passes
Mon Dec 15 16:19:24 2008  matrix is 49885 x 49949 (11.1 MB) with weight 2716273 (54.38/col)
Mon Dec 15 16:19:24 2008  sparse part has weight 2716273 (54.38/col)
Mon Dec 15 16:19:24 2008  saving the first 48 matrix rows for later
Mon Dec 15 16:19:24 2008  matrix is 49837 x 49949 (6.8 MB) with weight 2078163 (41.61/col)
Mon Dec 15 16:19:24 2008  sparse part has weight 1495961 (29.95/col)
Mon Dec 15 16:19:24 2008  matrix includes 64 packed rows
Mon Dec 15 16:19:24 2008  using block size 19979 for processor cache size 512 kB
Mon Dec 15 16:19:25 2008  commencing Lanczos iteration
Mon Dec 15 16:19:25 2008  memory use: 6.9 MB
Mon Dec 15 16:19:48 2008  lanczos halted after 789 iterations (dim = 49837)
Mon Dec 15 16:19:48 2008  recovered 18 nontrivial dependencies
Mon Dec 15 16:19:49 2008  prp41 factor: 28306816444502368825148383991347799490833
Mon Dec 15 16:19:49 2008  prp45 factor: 567143149328791314070560484701937139507375317
Mon Dec 15 16:19:49 2008  elapsed time 00:52:45

34535600313353761637815551285629476040788202504999833839791741988242343476339596177841983<89>

43871068211571581561965777755726137512439<41>
787206733759095811393840080371004503026881448697<48>

Mon Dec 15 15:34:20 2008  Msieve v. 1.39
Mon Dec 15 15:34:20 2008  random seeds: 389128b0 b431d9bf
Mon Dec 15 15:34:20 2008  factoring 34535600313353761637815551285629476040788202504999833839791741988242343476339596177841983 (89 digits)
Mon Dec 15 15:34:21 2008  searching for 15-digit factors
Mon Dec 15 15:34:23 2008  commencing quadratic sieve (89-digit input)
Mon Dec 15 15:34:23 2008  using multiplier of 7
Mon Dec 15 15:34:23 2008  using 32kb Intel Core sieve core
Mon Dec 15 15:34:23 2008  sieve interval: 32 blocks of size 32768
Mon Dec 15 15:34:23 2008  processing polynomials in batches of 7
Mon Dec 15 15:34:23 2008  using a sieve bound of 1555999 (59000 primes)
Mon Dec 15 15:34:23 2008  using large prime bound of 124479920 (26 bits)
Mon Dec 15 15:34:23 2008  using double large prime bound of 372544998335040 (42-49 bits)
Mon Dec 15 15:34:23 2008  using trial factoring cutoff of 49 bits
Mon Dec 15 15:34:23 2008  polynomial 'A' values have 11 factors
Mon Dec 15 16:35:25 2008  59266 relations (15945 full + 43321 combined from 625351 partial), need 59096
Mon Dec 15 16:35:26 2008  begin with 641296 relations
Mon Dec 15 16:35:27 2008  reduce to 144178 relations in 10 passes
Mon Dec 15 16:35:27 2008  attempting to read 144178 relations
Mon Dec 15 16:35:29 2008  recovered 144178 relations
Mon Dec 15 16:35:29 2008  recovered 120576 polynomials
Mon Dec 15 16:35:29 2008  attempting to build 59266 cycles
Mon Dec 15 16:35:29 2008  found 59266 cycles in 6 passes
Mon Dec 15 16:35:29 2008  distribution of cycle lengths:
Mon Dec 15 16:35:29 2008     length 1 : 15945
Mon Dec 15 16:35:29 2008     length 2 : 11323
Mon Dec 15 16:35:29 2008     length 3 : 10530
Mon Dec 15 16:35:29 2008     length 4 : 7966
Mon Dec 15 16:35:29 2008     length 5 : 5549
Mon Dec 15 16:35:29 2008     length 6 : 3419
Mon Dec 15 16:35:29 2008     length 7 : 2034
Mon Dec 15 16:35:29 2008     length 9+: 2500
Mon Dec 15 16:35:29 2008  largest cycle: 21 relations
Mon Dec 15 16:35:29 2008  matrix is 59000 x 59266 (14.5 MB) with weight 3552330 (59.94/col)
Mon Dec 15 16:35:29 2008  sparse part has weight 3552330 (59.94/col)
Mon Dec 15 16:35:30 2008  filtering completed in 4 passes
Mon Dec 15 16:35:30 2008  matrix is 54944 x 55008 (13.5 MB) with weight 3325067 (60.45/col)
Mon Dec 15 16:35:30 2008  sparse part has weight 3325067 (60.45/col)
Mon Dec 15 16:35:30 2008  saving the first 48 matrix rows for later
Mon Dec 15 16:35:30 2008  matrix is 54896 x 55008 (9.8 MB) with weight 2725550 (49.55/col)
Mon Dec 15 16:35:30 2008  sparse part has weight 2235862 (40.65/col)
Mon Dec 15 16:35:30 2008  matrix includes 64 packed rows
Mon Dec 15 16:35:30 2008  using block size 22003 for processor cache size 1024 kB
Mon Dec 15 16:35:31 2008  commencing Lanczos iteration
Mon Dec 15 16:35:31 2008  memory use: 8.9 MB
Mon Dec 15 16:35:50 2008  lanczos halted after 870 iterations (dim = 54892)
Mon Dec 15 16:35:50 2008  recovered 15 nontrivial dependencies
Mon Dec 15 16:35:51 2008  prp41 factor: 43871068211571581561965777755726137512439
Mon Dec 15 16:35:51 2008  prp48 factor: 787206733759095811393840080371004503026881448697
Mon Dec 15 16:35:51 2008  elapsed time 01:01:31

1407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407<109>

247611047803078395531865562134423674323<39>
5683944314660381557602633851722612401459653226858370362546598490499509<70>

Number: 42221_108
N=1407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407
  ( 109 digits)
SNFS difficulty: 110 digits.
Divisors found:
 r1=247611047803078395531865562134423674323 (pp39)
 r2=5683944314660381557602633851722612401459653226858370362546598490499509 (pp70)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 1.47 hours.
Scaled time: 0.70 units (timescale=0.474).
Factorization parameters were as follows:
name: 42221_108
n: 1407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407
m: 5000000000000000000000
deg: 5
c5: 304
c0: -275
skew: 0.98
type: snfs
lss: 1
rlim: 500000
alim: 500000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 500000/500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [250000, 400001)
Primes: RFBsize:41538, AFBsize:41548, largePrimes:1113852 encountered
Relations: rels:1058520, finalFF:113369
Max relations in full relation-set: 28
Initial matrix: 83153 x 113369 with sparse part having weight 4921853.
Pruned matrix : 70547 x 71026 with weight 2259018.
Total sieving time: 1.38 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,110,5,0,0,0,0,0,0,0,0,500000,500000,25,25,44,44,2.2,2.2,50000
total time: 1.47 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

52126200274348422496570644718792866941015089163237311385459533607681755829903978052126200274348422496570644718792866941<119>

509139097395824952151373035566844707911509<42>
102381059598382098870388221982891747034455666681264121668445411723287964967049<78>

Number: 42221_120
N=52126200274348422496570644718792866941015089163237311385459533607681755829903978052126200274348422496570644718792866941
  ( 119 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=509139097395824952151373035566844707911509
 r2=102381059598382098870388221982891747034455666681264121668445411723287964967049
Version: 
Total time: 0.90 hours.
Scaled time: 2.14 units (timescale=2.383).
Factorization parameters were as follows:
n: 52126200274348422496570644718792866941015089163237311385459533607681755829903978052126200274348422496570644718792866941
m: 1000000000000000000000000
deg: 5
c5: 38
c0: -11
skew: 0.78
type: snfs
lss: 1
rlim: 600000
alim: 600000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 510001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 69377 x 69607
Total sieving time: 0.84 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,121,5,0,0,0,0,0,0,0,0,600000,600000,25,25,46,46,2.2,2.2,30000
total time: 0.90 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-0.77.1-20050930-nocona / Msieve v1.39

Core 2 Quad Q6700

18357487922705314009661835748792270531400966183574879227053140096618357487922705314009661835748792270531400966183574879227<122>

22983221156969608220878678122685099656223<41>
798734337425041424415227498048707151445996691869167022100770362401392131327274149<81>

SNFS difficulty: 124 digits.
Divisors found:
 r1=22983221156969608220878678122685099656223 (pp41)
 r2=798734337425041424415227498048707151445996691869167022100770362401392131327274149 (pp81)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.728).
Factorization parameters were as follows:
n: 18357487922705314009661835748792270531400966183574879227053140096618357487922705314009661835748792270531400966183574879227
m: 2000000000000000000000000
deg: 5
c5: 475
c0: -44
skew: 0.62
type: snfs
lss: 1
rlim: 820000
alim: 820000
lpbr: 25
lpba: 25
mfbr: 48
mfba: 48
rlambda: 2.2
alambda: 2.2
Factor base limits: 820000/820000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 48/48
Sieved rational special-q in [410000, 810001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 101881 x 102120
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,124,5,0,0,0,0,0,0,0,0,820000,820000,25,25,48,48,2.2,2.2,50000
total time: 1.20 hours.

Msieve-1.39

Opteron-2.6GHz; Linux x86_64

5623516984876440046820940447597024505155242882926050220394806682266805082143873407184438266180393771<100>

26028553070102555153152006678575895714988264141<47>
216051847743155505973228004187461561967298916530089431<54>

Mon Dec 15 19:29:51 2008  Msieve v. 1.39
Mon Dec 15 19:29:51 2008  random seeds: b14ae2d8 9d6205d9
Mon Dec 15 19:29:51 2008  factoring 5623516984876440046820940447597024505155242882926050220394806682266805082143873407184438266180393771 (100 digits)
Mon Dec 15 19:29:52 2008  searching for 15-digit factors
Mon Dec 15 19:29:53 2008  commencing quadratic sieve (100-digit input)
Mon Dec 15 19:29:53 2008  using multiplier of 19
Mon Dec 15 19:29:53 2008  using 32kb Intel Core sieve core
Mon Dec 15 19:29:53 2008  sieve interval: 36 blocks of size 32768
Mon Dec 15 19:29:53 2008  processing polynomials in batches of 6
Mon Dec 15 19:29:53 2008  using a sieve bound of 2747231 (100000 primes)
Mon Dec 15 19:29:53 2008  using large prime bound of 412084650 (28 bits)
Mon Dec 15 19:29:53 2008  using double large prime bound of 3213479781672900 (43-52 bits)
Mon Dec 15 19:29:53 2008  using trial factoring cutoff of 52 bits
Mon Dec 15 19:29:53 2008  polynomial 'A' values have 13 factors
Tue Dec 16 09:38:14 2008  100131 relations (23083 full + 77048 combined from 1514856 partial), need 100096
Tue Dec 16 09:38:16 2008  begin with 1537939 relations
Tue Dec 16 09:38:18 2008  reduce to 266334 relations in 11 passes
Tue Dec 16 09:38:18 2008  attempting to read 266334 relations
Tue Dec 16 09:38:23 2008  recovered 266334 relations
Tue Dec 16 09:38:23 2008  recovered 258695 polynomials
Tue Dec 16 09:38:23 2008  attempting to build 100131 cycles
Tue Dec 16 09:38:23 2008  found 100131 cycles in 7 passes
Tue Dec 16 09:38:23 2008  distribution of cycle lengths:
Tue Dec 16 09:38:23 2008     length 1 : 23083
Tue Dec 16 09:38:23 2008     length 2 : 16942
Tue Dec 16 09:38:23 2008     length 3 : 16845
Tue Dec 16 09:38:23 2008     length 4 : 13748
Tue Dec 16 09:38:23 2008     length 5 : 10569
Tue Dec 16 09:38:23 2008     length 6 : 7270
Tue Dec 16 09:38:23 2008     length 7 : 4676
Tue Dec 16 09:38:23 2008     length 9+: 6998
Tue Dec 16 09:38:23 2008  largest cycle: 23 relations
Tue Dec 16 09:38:24 2008  matrix is 100000 x 100131 (28.5 MB) with weight 7076937 (70.68/col)
Tue Dec 16 09:38:24 2008  sparse part has weight 7076937 (70.68/col)
Tue Dec 16 09:38:26 2008  filtering completed in 3 passes
Tue Dec 16 09:38:26 2008  matrix is 96437 x 96501 (27.6 MB) with weight 6861401 (71.10/col)
Tue Dec 16 09:38:26 2008  sparse part has weight 6861401 (71.10/col)
Tue Dec 16 09:38:26 2008  saving the first 48 matrix rows for later
Tue Dec 16 09:38:26 2008  matrix is 96389 x 96501 (17.9 MB) with weight 5506767 (57.06/col)
Tue Dec 16 09:38:26 2008  sparse part has weight 4110435 (42.59/col)
Tue Dec 16 09:38:26 2008  matrix includes 64 packed rows
Tue Dec 16 09:38:26 2008  using block size 38600 for processor cache size 1024 kB
Tue Dec 16 09:38:27 2008  commencing Lanczos iteration
Tue Dec 16 09:38:27 2008  memory use: 16.8 MB
Tue Dec 16 09:39:35 2008  lanczos halted after 1525 iterations (dim = 96384)
Tue Dec 16 09:39:35 2008  recovered 14 nontrivial dependencies
Tue Dec 16 09:39:36 2008  prp47 factor: 26028553070102555153152006678575895714988264141
Tue Dec 16 09:39:36 2008  prp54 factor: 216051847743155505973228004187461561967298916530089431
Tue Dec 16 09:39:36 2008  elapsed time 14:09:45

80969486424588104569192172741595063682559812789268173368043734892383445616679639114169<86>

17366429354635051553800208947550843<35>
4662414176865757064462443642505119553194330890299483<52>

Mon Dec 15 17:43:30 2008  Msieve v. 1.39
Mon Dec 15 17:43:30 2008  random seeds: 68905814 d1f19330
Mon Dec 15 17:43:30 2008  factoring 80969486424588104569192172741595063682559812789268173368043734892383445616679639114169 (86 digits)
Mon Dec 15 17:43:31 2008  searching for 15-digit factors
Mon Dec 15 17:43:33 2008  commencing quadratic sieve (86-digit input)
Mon Dec 15 17:43:33 2008  using multiplier of 1
Mon Dec 15 17:43:33 2008  using 32kb Intel Core sieve core
Mon Dec 15 17:43:33 2008  sieve interval: 17 blocks of size 32768
Mon Dec 15 17:43:33 2008  processing polynomials in batches of 12
Mon Dec 15 17:43:33 2008  using a sieve bound of 1469129 (56000 primes)
Mon Dec 15 17:43:33 2008  using large prime bound of 117530320 (26 bits)
Mon Dec 15 17:43:33 2008  using double large prime bound of 335946198551280 (41-49 bits)
Mon Dec 15 17:43:33 2008  using trial factoring cutoff of 49 bits
Mon Dec 15 17:43:33 2008  polynomial 'A' values have 11 factors
Mon Dec 15 18:13:35 2008  56158 relations (16674 full + 39484 combined from 575315 partial), need 56096
Mon Dec 15 18:13:36 2008  begin with 591989 relations
Mon Dec 15 18:13:37 2008  reduce to 130896 relations in 8 passes
Mon Dec 15 18:13:37 2008  attempting to read 130896 relations
Mon Dec 15 18:13:38 2008  recovered 130896 relations
Mon Dec 15 18:13:38 2008  recovered 102453 polynomials
Mon Dec 15 18:13:38 2008  attempting to build 56158 cycles
Mon Dec 15 18:13:38 2008  found 56158 cycles in 4 passes
Mon Dec 15 18:13:38 2008  distribution of cycle lengths:
Mon Dec 15 18:13:38 2008     length 1 : 16674
Mon Dec 15 18:13:38 2008     length 2 : 11381
Mon Dec 15 18:13:38 2008     length 3 : 10137
Mon Dec 15 18:13:38 2008     length 4 : 7151
Mon Dec 15 18:13:38 2008     length 5 : 4629
Mon Dec 15 18:13:38 2008     length 6 : 2845
Mon Dec 15 18:13:38 2008     length 7 : 1598
Mon Dec 15 18:13:38 2008     length 9+: 1743
Mon Dec 15 18:13:38 2008  largest cycle: 18 relations
Mon Dec 15 18:13:39 2008  matrix is 56000 x 56158 (12.1 MB) with weight 2944603 (52.43/col)
Mon Dec 15 18:13:39 2008  sparse part has weight 2944603 (52.43/col)
Mon Dec 15 18:13:39 2008  filtering completed in 3 passes
Mon Dec 15 18:13:39 2008  matrix is 50465 x 50527 (11.0 MB) with weight 2682817 (53.10/col)
Mon Dec 15 18:13:39 2008  sparse part has weight 2682817 (53.10/col)
Mon Dec 15 18:13:39 2008  saving the first 48 matrix rows for later
Mon Dec 15 18:13:39 2008  matrix is 50417 x 50527 (6.4 MB) with weight 2003995 (39.66/col)
Mon Dec 15 18:13:39 2008  sparse part has weight 1381607 (27.34/col)
Mon Dec 15 18:13:39 2008  matrix includes 64 packed rows
Mon Dec 15 18:13:39 2008  using block size 20210 for processor cache size 1024 kB
Mon Dec 15 18:13:40 2008  commencing Lanczos iteration
Mon Dec 15 18:13:40 2008  memory use: 6.8 MB
Mon Dec 15 18:13:53 2008  lanczos halted after 798 iterations (dim = 50413)
Mon Dec 15 18:13:54 2008  recovered 14 nontrivial dependencies
Mon Dec 15 18:13:54 2008  prp35 factor: 17366429354635051553800208947550843
Mon Dec 15 18:13:54 2008  prp52 factor: 4662414176865757064462443642505119553194330890299483
Mon Dec 15 18:13:54 2008  elapsed time 00:30:24

712121695086911891694248349704303884487936071869425992281043620337385181340742920833732016346212410379312336459<111>

3980015878546287994687508077<28>
178924335183058703221158270546770884637344930166891465712261296911583661673906338967<84>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3096623199
Step 1 took 8208ms
Step 2 took 5205ms
********** Factor found in step 2: 3980015878546287994687508077
Found probable prime factor of 28 digits: 3980015878546287994687508077
Probable prime cofactor has 84 digits

GMP-ECM 6.2.1

932236298723118086065258271081642050028750773492236275008624201179184424782920531697686204455679770151271511<108>

125271917239803673135317586548283560303451<42>
7441702172870640836699293639239075973261209560036712761186574811061<67>

Number: 42221_129
N=932236298723118086065258271081642050028750773492236275008624201179184424782920531697686204455679770151271511
  ( 108 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=125271917239803673135317586548283560303451
 r2=7441702172870640836699293639239075973261209560036712761186574811061
Version: 
Total time: 2.16 hours.
Scaled time: 5.17 units (timescale=2.393).
Factorization parameters were as follows:
n: 932236298723118086065258271081642050028750773492236275008624201179184424782920531697686204455679770151271511
m: 100000000000000000000000000
deg: 5
c5: 19
c0: -55
skew: 1.24
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, 950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 147643 x 147891
Total sieving time: 1.98 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.02 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: 2.16 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-0.77.1-20050930-nocona / Msieve v1.39

Core 2 Quad Q6700

1941395205120000513014345070903776490531439352431330068809619602452852526039131860535958662912632755808985780565083294117<121>

26254955460944566172921225572697038732496864651657<50>
73943953476055737169732831407296594260590759605785391982027707547550781<71>

Number: 42221_132
N=1941395205120000513014345070903776490531439352431330068809619602452852526039131860535958662912632755808985780565083294117
  ( 121 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=26254955460944566172921225572697038732496864651657
 r2=73943953476055737169732831407296594260590759605785391982027707547550781
Version: 
Total time: 3.02 hours.
Scaled time: 7.21 units (timescale=2.390).
Factorization parameters were as follows:
n: 1941395205120000513014345070903776490531439352431330068809619602452852526039131860535958662912632755808985780565083294117
m: 200000000000000000000000000
deg: 5
c5: 475
c0: -44
skew: 0.62
type: snfs
lss: 1
rlim: 1300000
alim: 1300000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [650000, 1250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 208908 x 209156
Total sieving time: 2.72 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,134,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,47,47,2.3,2.3,50000
total time: 3.02 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-0.77.1-20050930-nocona / Msieve v1.39

Core 2 Quad Q6700

33536316300414791280557761892154267054981908039890565704703909628452916776983496602241637984290883417174124084370311534727738063719<131>

227346354804397997449555013421517819<36>
147512003565082160996670532501548152339461769615196128904934077918830260161327461047769915156101<96>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2551179353
Step 1 took 8385ms
Step 2 took 4932ms
********** Factor found in step 2: 227346354804397997449555013421517819
Found probable prime factor of 36 digits: 227346354804397997449555013421517819
Probable prime cofactor 147512003565082160996670532501548152339461769615196128904934077918830260161327461047769915156101 has 96 digits

GMP-ECM 6.2.1

96053881698998834395407603696803899148417871409640815733762490089278910746043202961580105229793209375622816062588662521<119>

4149907820957241490972920909065030923841515609684853<52>
23146027777754951736573466939039243760546766431014482234227004890357<68>

Number: 42221_134
N=96053881698998834395407603696803899148417871409640815733762490089278910746043202961580105229793209375622816062588662521
  ( 119 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=4149907820957241490972920909065030923841515609684853 (pp52)
 r2=23146027777754951736573466939039243760546766431014482234227004890357 (pp68)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 8.31 hours.
Scaled time: 3.93 units (timescale=0.473).
Factorization parameters were as follows:
name: 42221_134
n: 96053881698998834395407603696803899148417871409640815733762490089278910746043202961580105229793209375622816062588662521
m: 1000000000000000000000000000
deg: 5
c5: 19
c0: -55
skew: 1.24
type: snfs
lss: 1
rlim: 1310000
alim: 1310000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1310000/1310000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [655000, 1330001)
Primes: RFBsize:100730, AFBsize:100660, largePrimes:3230980 encountered
Relations: rels:3174985, finalFF:257716
Max relations in full relation-set: 28
Initial matrix: 201455 x 257716 with sparse part having weight 22148514.
Pruned matrix : 185025 x 186096 with weight 12827971.
Total sieving time: 7.51 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.60 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,1310000,1310000,26,26,48,48,2.3,2.3,75000
total time: 8.31 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

280219317631007895717590311201766484880283707605683959789796281072275737106406803955106889031903979576672234403282217716443078567<129>

937437808317976970693932416403<30>
298920435195374668796858613681629028190698771165759803331918105970884920720033436834219559330152989<99>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4218461253
Step 1 took 8577ms
Step 2 took 4940ms
********** Factor found in step 2: 937437808317976970693932416403
Found probable prime factor of 30 digits: 937437808317976970693932416403
Probable prime cofactor 298920435195374668796858613681629028190698771165759803331918105970884920720033436834219559330152989 has 99 digits

GMP-ECM 6.2.1

8669558192470123675810540950772195266740631686824530195500818702883517869442385424373732790071439440968636048068593544418823618523013<133>

51707817722286821429454583067769802912986421<44>
167664360523445916239872708231359971038766019984240649261322234707681832432375540040788753<90>

Number: 42221_138
N=8669558192470123675810540950772195266740631686824530195500818702883517869442385424373732790071439440968636048068593544418823618523013
  ( 133 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=51707817722286821429454583067769802912986421 (prp44)
 r2=167664360523445916239872708231359971038766019984240649261322234707681832432375540040788753 (prp90)
Version: 
Total time: 9.44 hours.
Scaled time: 18.50 units (timescale=1.960).
Factorization parameters were as follows:
name: 42221_138
n: 8669558192470123675810540950772195266740631686824530195500818702883517869442385424373732790071439440968636048068593544418823618523013
m: 5000000000000000000000000000
deg: 5
c5: 304
c0: -275
skew: 0.98
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 : 239659 x 239907
Total sieving time: 9.44 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,140,5,0,0,0,0,0,0,0,0,1570000,1570000,26,26,48,48,2.3,2.3,100000
total time: 9.44 hours.
 --------- CPU info (if available) ----------

43819172437237618652820907786713083938238055391217746877124393262556917756829365265010678060634024257185753881011836909120234321<128>

804607420655732570446552759744605618923<39>
54460313579417670846316649744291707051749895931971216643706261352702388356635007215995827<89>

Number: 42221_140
N=43819172437237618652820907786713083938238055391217746877124393262556917756829365265010678060634024257185753881011836909120234321
  ( 128 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=804607420655732570446552759744605618923 (prp39)
 r2=54460313579417670846316649744291707051749895931971216643706261352702388356635007215995827 (prp89)
Version: 
Total time: 5.35 hours.
Scaled time: 13.57 units (timescale=2.534).
Factorization parameters were as follows:
name: 42221_140
n: 43819172437237618652820907786713083938238055391217746877124393262556917756829365265010678060634024257185753881011836909120234321
m: 10000000000000000000000000000
deg: 5
c5: 38
c0: -11
skew: 0.78
type: snfs
lss: 1
rlim: 1600000
alim: 1600000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1600000/1600000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [800000, 1500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 218142 x 218390
Total sieving time: 5.35 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,141,5,0,0,0,0,0,0,0,0,1600000,1600000,26,26,48,48,2.3,2.3,100000
total time: 5.35 hours.
 --------- CPU info (if available) ----------

133555151402705527771020532470635570480603171803939263654479802422770269818472340168044144200161160806498395618241264340998201<126>

226667704464855786266160319294497767450305082964541295658331<60>
589211205531103317422879572675077629800058220084069542829565675771<66>

Number: 42221_142
N=133555151402705527771020532470635570480603171803939263654479802422770269818472340168044144200161160806498395618241264340998201
  ( 126 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=226667704464855786266160319294497767450305082964541295658331 (prp60)
 r2=589211205531103317422879572675077629800058220084069542829565675771 (prp66)
Version: 
Total time: 9.54 hours.
Scaled time: 24.47 units (timescale=2.564).
Factorization parameters were as follows:
name: 42221_142
n: 133555151402705527771020532470635570480603171803939263654479802422770269818472340168044144200161160806498395618241264340998201
m: 20000000000000000000000000000
deg: 5
c5: 475
c0: -44
skew: 0.62
type: snfs
lss: 1
rlim: 1770000
alim: 1770000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1770000/1770000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [885000, 2185001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 317247 x 317495
Total sieving time: 9.54 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,144,5,0,0,0,0,0,0,0,0,1770000,1770000,26,26,49,49,2.3,2.3,100000
total time: 9.54 hours.
 --------- CPU info (if available) ----------

22475220391448586673754770019218423369117106618486859344613564547732656379153491083707713283817154986041<104>

1325404641036859296643530875431267<34>
36103065167888294499984392024763463<35>
469690089725626719012031234061716021<36>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2865957120
Step 1 took 8207ms
Step 2 took 4973ms
********** Factor found in step 2: 36103065167888294499984392024763463
Found probable prime factor of 35 digits: 36103065167888294499984392024763463
Composite cofactor has 69 digits

Sun Dec 14 22:43:05 2008
Sun Dec 14 22:43:05 2008  Msieve v. 1.39
Sun Dec 14 22:43:05 2008  random seeds: ecc3aec6 9d478ede
Sun Dec 14 22:43:05 2008  factoring 622529424771364516359872641106451889809872987897208805215742458228607 (69 digits)
Sun Dec 14 22:43:05 2008  searching for 15-digit factors
Sun Dec 14 22:43:05 2008  commencing quadratic sieve (69-digit input)
Sun Dec 14 22:43:05 2008  using multiplier of 7
Sun Dec 14 22:43:05 2008  using 64kb Opteron sieve core
Sun Dec 14 22:43:05 2008  sieve interval: 6 blocks of size 65536
Sun Dec 14 22:43:05 2008  processing polynomials in batches of 17
Sun Dec 14 22:43:06 2008  using a sieve bound of 204517 (9095 primes)
Sun Dec 14 22:43:06 2008  using large prime bound of 18406530 (24 bits)
Sun Dec 14 22:43:06 2008  using trial factoring cutoff of 24 bits
Sun Dec 14 22:43:06 2008  polynomial 'A' values have 9 factors
Sun Dec 14 22:44:53 2008  9225 relations (4203 full + 5022 combined from 51864 partial), need 9191
Sun Dec 14 22:44:53 2008  begin with 56067 relations
Sun Dec 14 22:44:53 2008  reduce to 13607 relations in 2 passes
Sun Dec 14 22:44:53 2008  attempting to read 13607 relations
Sun Dec 14 22:44:53 2008  recovered 13607 relations
Sun Dec 14 22:44:53 2008  recovered 11821 polynomials
Sun Dec 14 22:44:53 2008  attempting to build 9225 cycles
Sun Dec 14 22:44:53 2008  found 9225 cycles in 1 passes
Sun Dec 14 22:44:53 2008  distribution of cycle lengths:
Sun Dec 14 22:44:53 2008     length 1 : 4203
Sun Dec 14 22:44:53 2008     length 2 : 5022
Sun Dec 14 22:44:53 2008  largest cycle: 2 relations
Sun Dec 14 22:44:53 2008  matrix is 9095 x 9225 (1.3 MB) with weight 267721 (29.02/col)
Sun Dec 14 22:44:53 2008  sparse part has weight 267721 (29.02/col)
Sun Dec 14 22:44:53 2008  filtering completed in 3 passes
Sun Dec 14 22:44:53 2008  matrix is 8379 x 8443 (1.2 MB) with weight 242533 (28.73/col)
Sun Dec 14 22:44:53 2008  sparse part has weight 242533 (28.73/col)
Sun Dec 14 22:44:53 2008  commencing Lanczos iteration
Sun Dec 14 22:44:53 2008  memory use: 1.6 MB
Sun Dec 14 22:44:54 2008  lanczos halted after 134 iterations (dim = 8375)
Sun Dec 14 22:44:54 2008  recovered 63 nontrivial dependencies
Sun Dec 14 22:44:54 2008  prp34 factor: 1325404641036859296643530875431267
Sun Dec 14 22:44:54 2008  prp36 factor: 469690089725626719012031234061716021
Sun Dec 14 22:44:54 2008  elapsed time 00:01:49

GMP-ECM 6.2.1, msieve-1.39

67836227287130619079383934083850720087559640075990742836017483470010926302385559559464284591535903402888312098009783940739342954569588453<137>

2551902873964888480833926621<28>
25651567516317837264646215281<29>
140164536628756188314004991027646939<36>
7393421921628468039493253474311183298582706427<46>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4033410296
Step 1 took 10041ms
Step 2 took 5472ms
********** Factor found in step 2: 2551902873964888480833926621
Found probable prime factor of 28 digits: 2551902873964888480833926621

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3869496862
Step 1 took 6981ms
Step 2 took 4380ms
********** Factor found in step 2: 25651567516317837264646215281
Found probable prime factor of 29 digits: 25651567516317837264646215281

Sun Dec 14 23:32:12 2008  Msieve v. 1.39
Sun Dec 14 23:32:12 2008  random seeds: c480db8c b034535a
Sun Dec 14 23:32:12 2008  factoring 1036295557745942373186723249313381729835841778863922580350252672039512028042176953 (82 digits)
Sun Dec 14 23:32:13 2008  searching for 15-digit factors
Sun Dec 14 23:32:14 2008  commencing quadratic sieve (82-digit input)
Sun Dec 14 23:32:14 2008  using multiplier of 1
Sun Dec 14 23:32:14 2008  using 64kb Opteron sieve core
Sun Dec 14 23:32:14 2008  sieve interval: 6 blocks of size 65536
Sun Dec 14 23:32:14 2008  processing polynomials in batches of 17
Sun Dec 14 23:32:14 2008  using a sieve bound of 1334341 (51025 primes)
Sun Dec 14 23:32:14 2008  using large prime bound of 126762395 (26 bits)
Sun Dec 14 23:32:14 2008  using trial factoring cutoff of 27 bits
Sun Dec 14 23:32:14 2008  polynomial 'A' values have 10 factors
Sun Dec 14 23:54:47 2008  51205 relations (26457 full + 24748 combined from 273052 partial), need 51121
Sun Dec 14 23:54:47 2008  begin with 299509 relations
Sun Dec 14 23:54:47 2008  reduce to 72932 relations in 2 passes
Sun Dec 14 23:54:47 2008  attempting to read 72932 relations
Sun Dec 14 23:54:48 2008  recovered 72932 relations
Sun Dec 14 23:54:48 2008  recovered 63151 polynomials
Sun Dec 14 23:54:48 2008  attempting to build 51205 cycles
Sun Dec 14 23:54:48 2008  found 51205 cycles in 1 passes
Sun Dec 14 23:54:48 2008  distribution of cycle lengths:
Sun Dec 14 23:54:48 2008     length 1 : 26457
Sun Dec 14 23:54:48 2008     length 2 : 24748
Sun Dec 14 23:54:48 2008  largest cycle: 2 relations
Sun Dec 14 23:54:49 2008  matrix is 51025 x 51205 (7.5 MB) with weight 1547321 (30.22/col)
Sun Dec 14 23:54:49 2008  sparse part has weight 1547321 (30.22/col)
Sun Dec 14 23:54:49 2008  filtering completed in 4 passes
Sun Dec 14 23:54:49 2008  matrix is 36298 x 36362 (5.8 MB) with weight 1237357 (34.03/col)
Sun Dec 14 23:54:49 2008  sparse part has weight 1237357 (34.03/col)
Sun Dec 14 23:54:49 2008  saving the first 48 matrix rows for later
Sun Dec 14 23:54:49 2008  matrix is 36250 x 36362 (4.4 MB) with weight 984802 (27.08/col)
Sun Dec 14 23:54:49 2008  sparse part has weight 795660 (21.88/col)
Sun Dec 14 23:54:49 2008  matrix includes 64 packed rows
Sun Dec 14 23:54:49 2008  using block size 14544 for processor cache size 1024 kB
Sun Dec 14 23:54:50 2008  commencing Lanczos iteration
Sun Dec 14 23:54:50 2008  memory use: 4.2 MB
Sun Dec 14 23:54:58 2008  lanczos halted after 575 iterations (dim = 36249)
Sun Dec 14 23:54:59 2008  recovered 16 nontrivial dependencies
Sun Dec 14 23:54:59 2008  prp36 factor: 140164536628756188314004991027646939
Sun Dec 14 23:54:59 2008  prp46 factor: 7393421921628468039493253474311183298582706427
Sun Dec 14 23:54:59 2008  elapsed time 00:22:47

GMP-ECM 6.2.1+msieve

422222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221<150>

2156877309792813337917367804096273<34>
10692962417405779727963760437122579230977363713174343<53>
18307017852353217144257078631568701474589782475479036325318027739<65>

Number: 42221_149
N=422222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221
  ( 150 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=2156877309792813337917367804096273 (prp34)
 r2=10692962417405779727963760437122579230977363713174343 (prp53)
 r3=18307017852353217144257078631568701474589782475479036325318027739 (prp65)
Version: 
Total time: 16.63 hours.
Scaled time: 42.47 units (timescale=2.554).
Factorization parameters were as follows:
name: 42221_149
n: 422222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221
m: 1000000000000000000000000000000
deg: 5
c5: 19
c0: -55
skew: 1.24
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 : 376776 x 377024
Total sieving time: 16.63 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 16.63 hours.
 --------- CPU info (if available) ----------

256224812842318717545533857825918618214117908238051230838133636289935308342853369546321111379845635992526213941974521284389129356892768149<138>

3159193923314794886124358434419958776363525831<46>
81104490278796803941574903528473981354882683238348933245451788515578216046199936350435152579<92>

Number: 42221_151
N=256224812842318717545533857825918618214117908238051230838133636289935308342853369546321111379845635992526213941974521284389129356892768149
  ( 138 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=3159193923314794886124358434419958776363525831 (prp46)
 r2=81104490278796803941574903528473981354882683238348933245451788515578216046199936350435152579 (prp92)
Version: 
Total time: 15.14 hours.
Scaled time: 38.51 units (timescale=2.544).
Factorization parameters were as follows:
name: 42221_151
n: 256224812842318717545533857825918618214117908238051230838133636289935308342853369546321111379845635992526213941974521284389129356892768149
m: 2000000000000000000000000000000
deg: 5
c5: 95
c0: -88
skew: 0.98
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1250000, 1950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 458616 x 458864
Total sieving time: 15.14 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,153,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 15.14 hours.
 --------- CPU info (if available) ----------

8735822961783701521595509383320306982142781207790003682501701235482336432672547155076594232653301349910915673274832506173076799918724680541<139>

2244475534182952124033053975047362318980113940838127137<55>
3892144435855376728741091997536320056326825112992346851623166566331315178926518146493<85>

SNFS difficulty: 154 digits.
Divisors found:
 r1=2244475534182952124033053975047362318980113940838127137 (pp55)
 r2=3892144435855376728741091997536320056326825112992346851623166566331315178926518146493 (pp85)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.280).
Factorization parameters were as follows:
n: 8735822961783701521595509383320306982142781207790003682501701235482336432672547155076594232653301349910915673274832506173076799918724680541
m: 2000000000000000000000000000000
deg: 5
c5: 475
c0: -44
skew: 0.62
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 : 512153 x 512401
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: 18.00 hours.

Msieve-1.39

Opteron-2.6GHz; Linux x86_64

60660038906825554637414355681564907507415461749948153955759950113103673417179000748613297843983<95>

15061311339269694752966969737951939626793<41>
4027540334331000455649132757502438402057856590453203831<55>

Mon Dec 15 21:24:24 2008  Msieve v. 1.39
Mon Dec 15 21:24:24 2008  random seeds: d578aff0 13fce78b
Mon Dec 15 21:24:24 2008  factoring 60660038906825554637414355681564907507415461749948153955759950113103673417179000748613297843983 (95 digits)
Mon Dec 15 21:24:25 2008  searching for 15-digit factors
Mon Dec 15 21:24:27 2008  commencing quadratic sieve (95-digit input)
Mon Dec 15 21:24:27 2008  using multiplier of 7
Mon Dec 15 21:24:27 2008  using 64kb Pentium 4 sieve core
Mon Dec 15 21:24:27 2008  sieve interval: 18 blocks of size 65536
Mon Dec 15 21:24:27 2008  processing polynomials in batches of 6
Mon Dec 15 21:24:27 2008  using a sieve bound of 2162071 (79904 primes)
Mon Dec 15 21:24:27 2008  using large prime bound of 324310650 (28 bits)
Mon Dec 15 21:24:27 2008  using double large prime bound of 2087998231332900 (43-51 bits)
Mon Dec 15 21:24:27 2008  using trial factoring cutoff of 51 bits
Mon Dec 15 21:24:27 2008  polynomial 'A' values have 12 factors
Tue Dec 16 03:39:39 2008  80356 relations (19851 full + 60505 combined from 1194222 partial), need 80000
Tue Dec 16 03:39:44 2008  begin with 1214073 relations
Tue Dec 16 03:39:45 2008  reduce to 208410 relations in 12 passes
Tue Dec 16 03:39:45 2008  attempting to read 208410 relations
Tue Dec 16 03:39:52 2008  recovered 208410 relations
Tue Dec 16 03:39:52 2008  recovered 191316 polynomials
Tue Dec 16 03:39:52 2008  attempting to build 80356 cycles
Tue Dec 16 03:39:53 2008  found 80356 cycles in 7 passes
Tue Dec 16 03:39:53 2008  distribution of cycle lengths:
Tue Dec 16 03:39:53 2008     length 1 : 19851
Tue Dec 16 03:39:53 2008     length 2 : 14166
Tue Dec 16 03:39:53 2008     length 3 : 13601
Tue Dec 16 03:39:53 2008     length 4 : 10899
Tue Dec 16 03:39:53 2008     length 5 : 8038
Tue Dec 16 03:39:53 2008     length 6 : 5507
Tue Dec 16 03:39:53 2008     length 7 : 3514
Tue Dec 16 03:39:53 2008     length 9+: 4780
Tue Dec 16 03:39:53 2008  largest cycle: 22 relations
Tue Dec 16 03:39:53 2008  matrix is 79904 x 80356 (21.8 MB) with weight 5402198 (67.23/col)
Tue Dec 16 03:39:53 2008  sparse part has weight 5402198 (67.23/col)
Tue Dec 16 03:39:56 2008  filtering completed in 4 passes
Tue Dec 16 03:39:56 2008  matrix is 75825 x 75889 (20.6 MB) with weight 5108863 (67.32/col)
Tue Dec 16 03:39:56 2008  sparse part has weight 5108863 (67.32/col)
Tue Dec 16 03:39:56 2008  saving the first 48 matrix rows for later
Tue Dec 16 03:39:56 2008  matrix is 75777 x 75889 (14.5 MB) with weight 4195500 (55.28/col)
Tue Dec 16 03:39:56 2008  sparse part has weight 3350889 (44.16/col)
Tue Dec 16 03:39:56 2008  matrix includes 64 packed rows
Tue Dec 16 03:39:56 2008  using block size 21845 for processor cache size 512 kB
Tue Dec 16 03:39:57 2008  commencing Lanczos iteration
Tue Dec 16 03:39:57 2008  memory use: 13.1 MB
Tue Dec 16 03:40:59 2008  lanczos halted after 1200 iterations (dim = 75775)
Tue Dec 16 03:40:59 2008  recovered 16 nontrivial dependencies
Tue Dec 16 03:41:01 2008  prp41 factor: 15061311339269694752966969737951939626793
Tue Dec 16 03:41:01 2008  prp55 factor: 4027540334331000455649132757502438402057856590453203831
Tue Dec 16 03:41:01 2008  elapsed time 06:16:37

21326065350413624233193962291332887661551544452586939041686174287451002112206135225323163185190177586449359373803417023<119>

51587834613479025493547275460082123019777651055195321608609<59>
413393303095561319836967443404945417817696145003663940983647<60>

Number: n
N=21326065350413624233193962291332887661551544452586939041686174287451002112206135225323163185190177586449359373803417023
  ( 119 digits)
SNFS difficulty: 156 digits.
Divisors found:

Sun Dec 21 11:31:14 2008  prp59 factor: 51587834613479025493547275460082123019777651055195321608609
Sun Dec 21 11:31:14 2008  prp60 factor: 413393303095561319836967443404945417817696145003663940983647
Sun Dec 21 11:31:14 2008  elapsed time 01:19:32 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 20.64 hours.
Scaled time: 37.54 units (timescale=1.819).
Factorization parameters were as follows:
name: KA_4_2_153_1
n: 21326065350413624233193962291332887661551544452586939041686174287451002112206135225323163185190177586449359373803417023
type: snfs
skew: 1.23
deg: 5
c5: 19
c0: -55
m: 10000000000000000000000000000000
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 2550001)
Primes: RFBsize:216816, AFBsize:216782, largePrimes:16418732 encountered
Relations: rels:15539332, finalFF:525467
Max relations in full relation-set: 28
Initial matrix: 433663 x 525467 with sparse part having weight 80415786.
Pruned matrix : 404065 x 406297 with weight 54293410.

Msieve: found 1223712 hash collisions in 16391218 relations
Msieve: matrix is 523190 x 523438 (139.4 MB)

Total sieving time: 20.24 hours.
Total relation processing time: 0.40 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,56,56,2.5,2.5,100000
total time: 20.64 hours.
 --------- CPU info (if available) ----------

4413460303674498541861344363652947120119783104812592625476960256960945509230348423050843447267531724857326155033566161392143756467949<133>

8170250646439144324324539951122523668008977214876413918613<58>
540186647223365813208039585829871641900469751792558202249175396131868628473<75>

Number: 42221_155
N=4413460303674498541861344363652947120119783104812592625476960256960945509230348423050843447267531724857326155033566161392143756467949
  ( 133 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=8170250646439144324324539951122523668008977214876413918613
 r2=540186647223365813208039585829871641900469751792558202249175396131868628473
Version: 
Total time: 13.44 hours.
Scaled time: 32.11 units (timescale=2.389).
Factorization parameters were as follows:
n: 4413460303674498541861344363652947120119783104812592625476960256960945509230348423050843447267531724857326155033566161392143756467949
m: 10000000000000000000000000000000
deg: 5
c5: 38
c0: -11
skew: 0.78
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 2100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 7818933
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 471139 x 471387
Total sieving time: 12.38 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 0.51 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 13.44 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-0.77.1-20050930-nocona / Msieve v1.39

Core 2 Quad Q6700

1051718030197355876186680430259249372512584735300322577317375800973563240681551613554581379576353959884374242688895232932887<124>

273415711927335176935345351670676383<36>
3846589586178820725082205888583716939157891153434790937819112111477628162272406784535689<88>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=324217118
Step 1 took 7748ms
Step 2 took 4473ms
********** Factor found in step 2: 273415711927335176935345351670676383
Found probable prime factor of 36 digits: 273415711927335176935345351670676383
Probable prime cofactor 3846589586178820725082205888583716939157891153434790937819112111477628162272406784535689 has 88 digits

GMP-ECM 6.2.1

42222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221<161>

4232810193853545342342065250180631557044686896193443565813<58>
9974985952248230050213644193474437703849918356907673850080379830337390210326473820200577856401733781817<103>

SNFS difficulty: 161 digits.
Divisors found:
 r1=4232810193853545342342065250180631557044686896193443565813 (pp58)
 r2=9974985952248230050213644193474437703849918356907673850080379830337390210326473820200577856401733781817 (pp103)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.883).
Factorization parameters were as follows:
n: 42222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221
m: 100000000000000000000000000000000
deg: 5
c5: 38
c0: -11
skew: 0.78
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [1750000, 2950001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 559579 x 559827
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,161,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,52,52,2.4,2.4,200000
total time: 20.00 hours.

Msieve-1.39

Opteron-2.6GHz; Linux x86_64

4933304229276368928335631762168116262216359465194468388238571394820666644892962255895905963086922138265917092266461<115>

393004019300720895064649178102671858011<39>
12552808589729656412640688337363128700026916814005950670291119358728810118951<77>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3477203104
Step 1 took 6473ms
Step 2 took 4044ms
********** Factor found in step 2: 393004019300720895064649178102671858011
Found probable prime factor of 39 digits: 393004019300720895064649178102671858011
Probable prime cofactor has 77 digits

GMP-ECM 6.2.1

83089977574968513220909985137421494425117839828820414466004738006477390138989870262933275172939145156053<104>

15325232869025743468160027097037<32>
5421775857181523778303366997185264829240061910861849089673960276292566569<73>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1701068307
Step 1 took 8199ms
Step 2 took 5108ms
********** Factor found in step 2: 15325232869025743468160027097037
Found probable prime factor of 32 digits: 15325232869025743468160027097037
Probable prime cofactor 5421775857181523778303366997185264829240061910861849089673960276292566569 has 73 digits

GMP-ECM 6.2.1

737917529034754159507563986949881633271119592299813842582578872003532723125311534918896755506803917146199297701<111>

2929181820706174355164874093534364725713662073<46>
251919332497036727931045115049442101193333340434130266632902737037<66>

Number: n
N=737917529034754159507563986949881633271119592299813842582578872003532723125311534918896755506803917146199297701
  ( 111 digits)
Divisors found:

Fri Dec 19 10:35:19 2008  prp46 factor: 2929181820706174355164874093534364725713662073
Fri Dec 19 10:35:19 2008  prp66 factor: 251919332497036727931045115049442101193333340434130266632902737037
Fri Dec 19 10:35:19 2008  elapsed time 01:12:51 (Msieve 1.39 - dependency 5)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 14.05 hours.
Scaled time: 25.30 units (timescale=1.801).
Factorization parameters were as follows:
n: 737917529034754159507563986949881633271119592299813842582578872003532723125311534918896755506803917146199297701
Y0: -2383114440365214673050
Y1:  666243497711
c0: -312209647156954433244650149
c1:  14556975766321877839966
c2:  843009328727785431
c3: -27567575689852
c4:  956954044
c5:  9600
skew: 23510.92
name: KA_4_2_164_1
type: gnfs
rlim: 3400000
alim: 3400000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 2300001)
Primes: RFBsize:243539, AFBsize:244085, largePrimes:15000202 encountered
Relations: rels:13799352, finalFF:770852
Max relations in full relation-set: 28
Initial matrix: 487700 x 770852 with sparse part having weight 92119394.
Pruned matrix : 

Msieve: found 810713 hash collisions in 14297157 relations
Msieve: matrix is 402030 x 402276 (111.7 MB)

Total sieving time: 13.69 hours.
Total relation processing time: 0.36 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,110,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3400000,3400000,28,28,56,56,2.5,2.5,100000
total time: 14.05 hours.
 --------- CPU info (if available) ----------

14602091109620515869366332015142728586054934512934342589581239347419963235977351626438610141371466520699267476440359057526064881192827431<137>

12643456665765147374218786433570546868392699029511<50>
1154912892544551407467844162921108648037743984077350799609066744377902172336659747050721<88>

Number: 42221_169
N=14602091109620515869366332015142728586054934512934342589581239347419963235977351626438610141371466520699267476440359057526064881192827431
  ( 137 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=12643456665765147374218786433570546868392699029511
 r2=1154912892544551407467844162921108648037743984077350799609066744377902172336659747050721
Version: 
Total time: 39.39 hours.
Scaled time: 94.03 units (timescale=2.387).
Factorization parameters were as follows:
n: 14602091109620515869366332015142728586054934512934342589581239347419963235977351626438610141371466520699267476440359057526064881192827431
m: 10000000000000000000000000000000000
deg: 5
c5: 19
c0: -55
skew: 1.24
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2900000, 5900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 11130436
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1006398 x 1006645
Total sieving time: 35.52 hours.
Total relation processing time: 1.32 hours.
Matrix solve time: 2.29 hours.
Time per square root: 0.26 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5800000,5800000,27,27,52,52,2.4,2.4,100000
total time: 39.39 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673788)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672384)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672339)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672342)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

4262963364933496395709478275729524355699103400998192027191736143909606300697514017904615346680936581440227978000496929497167857645938099302126401223<148>

35974067654822417736486535121062731213981928070510157920193993560610946901<74>
118501010389967258023247893423661439209529419513480796579803673567754372523<75>

Number: 42221_171
N=4262963364933496395709478275729524355699103400998192027191736143909606300697514017904615346680936581440227978000496929497167857645938099302126401223
  ( 148 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=35974067654822417736486535121062731213981928070510157920193993560610946901 (pp74)
 r2=118501010389967258023247893423661439209529419513480796579803673567754372523 (pp75)
Version: Msieve-1.40
Total time: 83.02 hours.
Scaled time: 259.61 units (timescale=3.127).
Factorization parameters were as follows:
name: 42221_171
n: 4262963364933496395709478275729524355699103400998192027191736143909606300697514017904615346680936581440227978000496929497167857645938099302126401223
m: 10000000000000000000000000000000000
deg: 5
c5: 380
c0: -11
skew: 0.49
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2650000, 5650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 969508 x 969756
Total sieving time: 79.62 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 2.85 hours.
Time per square root: 0.42 hours.
Prototype def-par.txt line would be:
snfs,172.000,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
total time: 83.02 hours.
 --------- CPU info (if available) ----------

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

10570774828615054079666755767171340493030396068294883113518243446557737057484068242808138573066127512641881704739954905630937698106404251076042287438895705647761920781<167>

5140420555539630577906068364265885081730496753<46>
373113006277293158634413308769938788385364188269480018332333<60>
5511474241224288959853093152333391854645304737723708263721969<61>

Number: 42221_172
N=10570774828615054079666755767171340493030396068294883113518243446557737057484068242808138573066127512641881704739954905630937698106404251076042287438895705647761920781
  ( 167 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=5140420555539630577906068364265885081730496753 (pp46)
 r2=373113006277293158634413308769938788385364188269480018332333 (pp60)
 r3=5511474241224288959853093152333391854645304737723708263721969 (pp61)
Version: Msieve-1.40
Total time: 144.64 hours.
Scaled time: 140.44 units (timescale=0.971).
Factorization parameters were as follows:
n: 10570774828615054079666755767171340493030396068294883113518243446557737057484068242808138573066127512641881704739954905630937698106404251076042287438895705647761920781
m: 20000000000000000000000000000000000
deg: 5
c5: 475
c0: -44
skew: 0.62
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2800000, 7300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1149676 x 1149901
Total sieving time: 139.33 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 4.04 hours.
Time per square root: 1.04 hours.
Prototype def-par.txt line would be:
snfs,174.000,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 144.64 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

1102407890919640266898752538439222512329561937917029300841311285175514940527995358282564548883086742094574992747316507107629823034522773426167682042355671598491441833478387<172>

21373934917885229960501801036667767687297501292726057634758836826598560231947<77>
51577208181595520712952190859726794005821242274496299179553509825685887968828943498649093422521<95>

SNFS difficulty: 175 digits.
Divisors found:
 r1=21373934917885229960501801036667767687297501292726057634758836826598560231947 (pp77)
 r2=51577208181595520712952190859726794005821242274496299179553509825685887968828943498649093422521 (pp95)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.950).
Factorization parameters were as follows:
n: 1102407890919640266898752538439222512329561937917029300841311285175514940527995358282564548883086742094574992747316507107629823034522773426167682042355671598491441833478387
m: 50000000000000000000000000000000000
deg: 5
c5: 304
c0: -275
skew: 0.98
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [3000000, 8200001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1149407 x 1149655
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,175,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,52,52,2.5,2.5,200000
total time: 70.00 hours.

Msieve-1.39

Opteron-2.6GHz; Linux x86_64

647206311238313757147230128810185410594618984479100419122636910546878864563542393319678035397487348204756567258077880110291573656501163510363<141>

64583320974668012969282589628685014327<38>

10021260930390560266594511156264428707661578748567959642375971936717369835041789453030241615860197033469<104>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3366280551
Step 1 took 14481ms
Step 2 took 6856ms
********** Factor found in step 2: 64583320974668012969282589628685014327
Found probable prime factor of 38 digits: 64583320974668012969282589628685014327
Composite cofactor has 104 digits

GMP-ECM 6.2.1

10021260930390560266594511156264428707661578748567959642375971936717369835041789453030241615860197033469<104>

13572177173944141379230865642040566250314827<44>
738367971619864478723854016085408967268073560203846001125847<60>

Sat Jan  3 17:34:21 2009  Msieve v. 1.39
Sat Jan  3 17:34:21 2009  random seeds: 811586e7 042c0979
Sat Jan  3 17:34:21 2009  factoring 10021260930390560266594511156264428707661578748567959642375971936717369835041789453030241615860197033469 (104 digits)
Sat Jan  3 17:34:24 2009  searching for 15-digit factors
Sat Jan  3 17:34:26 2009  commencing number field sieve (104-digit input)
Sat Jan  3 17:34:26 2009  R0: -41755367312430798657
Sat Jan  3 17:34:26 2009  R1:  129924582887
Sat Jan  3 17:34:26 2009  A0: -12813572907496742341700
Sat Jan  3 17:34:26 2009  A1:  688027892716311984598
Sat Jan  3 17:34:26 2009  A2:  343348771692294918
Sat Jan  3 17:34:26 2009  A3: -3426111865027
Sat Jan  3 17:34:26 2009  A4: -2705875132
Sat Jan  3 17:34:26 2009  A5:  78960
Sat Jan  3 17:34:26 2009  skew 1.00, size 1.020312e-10, alpha -6.266562, combined = 8.239688e-10
Sat Jan  3 17:34:26 2009  
Sat Jan  3 17:34:26 2009  commencing relation filtering
Sat Jan  3 17:34:26 2009  commencing duplicate removal, pass 1
Sat Jan  3 17:36:04 2009  found 333597 hash collisions in 4633238 relations
Sat Jan  3 17:36:40 2009  added 31398 free relations
Sat Jan  3 17:36:40 2009  commencing duplicate removal, pass 2
Sat Jan  3 17:36:47 2009  found 311101 duplicates and 4353535 unique relations
Sat Jan  3 17:36:47 2009  memory use: 43.3 MB
Sat Jan  3 17:36:47 2009  reading rational ideals above 1900544
Sat Jan  3 17:36:47 2009  reading algebraic ideals above 1900544
Sat Jan  3 17:36:47 2009  commencing singleton removal, pass 1
Sat Jan  3 17:38:25 2009  relations with 0 large ideals: 66751
Sat Jan  3 17:38:25 2009  relations with 1 large ideals: 508305
Sat Jan  3 17:38:25 2009  relations with 2 large ideals: 1420633
Sat Jan  3 17:38:25 2009  relations with 3 large ideals: 1653235
Sat Jan  3 17:38:25 2009  relations with 4 large ideals: 658720
Sat Jan  3 17:38:25 2009  relations with 5 large ideals: 15644
Sat Jan  3 17:38:25 2009  relations with 6 large ideals: 30247
Sat Jan  3 17:38:25 2009  relations with 7+ large ideals: 0
Sat Jan  3 17:38:25 2009  4353535 relations and about 4377821 large ideals
Sat Jan  3 17:38:25 2009  commencing singleton removal, pass 2
Sat Jan  3 17:40:01 2009  found 1971537 singletons
Sat Jan  3 17:40:01 2009  current dataset: 2381998 relations and about 1995952 large ideals
Sat Jan  3 17:40:01 2009  commencing singleton removal, pass 3
Sat Jan  3 17:40:56 2009  found 459886 singletons
Sat Jan  3 17:40:56 2009  current dataset: 1922112 relations and about 1500649 large ideals
Sat Jan  3 17:40:56 2009  commencing singleton removal, final pass
Sat Jan  3 17:41:44 2009  memory use: 37.3 MB
Sat Jan  3 17:41:44 2009  commencing in-memory singleton removal
Sat Jan  3 17:41:45 2009  begin with 1922112 relations and 1542283 unique ideals
Sat Jan  3 17:41:51 2009  reduce to 1596578 relations and 1207151 ideals in 15 passes
Sat Jan  3 17:41:51 2009  max relations containing the same ideal: 18
Sat Jan  3 17:41:53 2009  reading rational ideals above 720000
Sat Jan  3 17:41:53 2009  reading algebraic ideals above 720000
Sat Jan  3 17:41:53 2009  commencing singleton removal, final pass
Sat Jan  3 17:42:38 2009  keeping 1386175 ideals with weight <= 20, new excess is 174884
Sat Jan  3 17:42:39 2009  memory use: 46.5 MB
Sat Jan  3 17:42:40 2009  commencing in-memory singleton removal
Sat Jan  3 17:42:40 2009  begin with 1608672 relations and 1386175 unique ideals
Sat Jan  3 17:42:45 2009  reduce to 1594481 relations and 1314144 ideals in 12 passes
Sat Jan  3 17:42:45 2009  max relations containing the same ideal: 20
Sat Jan  3 17:42:48 2009  removing 283569 relations and 244833 ideals in 38736 cliques
Sat Jan  3 17:42:48 2009  commencing in-memory singleton removal
Sat Jan  3 17:42:49 2009  begin with 1310912 relations and 1314144 unique ideals
Sat Jan  3 17:42:52 2009  reduce to 1278048 relations and 1035423 ideals in 10 passes
Sat Jan  3 17:42:52 2009  max relations containing the same ideal: 20
Sat Jan  3 17:42:54 2009  removing 211724 relations and 172988 ideals in 38736 cliques
Sat Jan  3 17:42:54 2009  commencing in-memory singleton removal
Sat Jan  3 17:42:55 2009  begin with 1066324 relations and 1035423 unique ideals
Sat Jan  3 17:42:57 2009  reduce to 1040992 relations and 836386 ideals in 8 passes
Sat Jan  3 17:42:57 2009  max relations containing the same ideal: 20
Sat Jan  3 17:42:59 2009  relations with 0 large ideals: 23367
Sat Jan  3 17:42:59 2009  relations with 1 large ideals: 137128
Sat Jan  3 17:42:59 2009  relations with 2 large ideals: 316252
Sat Jan  3 17:42:59 2009  relations with 3 large ideals: 342472
Sat Jan  3 17:42:59 2009  relations with 4 large ideals: 175722
Sat Jan  3 17:42:59 2009  relations with 5 large ideals: 40480
Sat Jan  3 17:42:59 2009  relations with 6 large ideals: 5342
Sat Jan  3 17:42:59 2009  relations with 7+ large ideals: 229
Sat Jan  3 17:42:59 2009  commencing 2-way merge
Sat Jan  3 17:43:01 2009  reduce to 620654 relation sets and 416048 unique ideals
Sat Jan  3 17:43:01 2009  commencing full merge
Sat Jan  3 17:43:15 2009  memory use: 35.2 MB
Sat Jan  3 17:43:15 2009  found 281974 cycles, need 256248
Sat Jan  3 17:43:15 2009  weight of 256248 cycles is about 18213555 (71.08/cycle)
Sat Jan  3 17:43:15 2009  distribution of cycle lengths:
Sat Jan  3 17:43:15 2009  1 relations: 31071
Sat Jan  3 17:43:15 2009  2 relations: 24040
Sat Jan  3 17:43:15 2009  3 relations: 23564
Sat Jan  3 17:43:15 2009  4 relations: 22461
Sat Jan  3 17:43:15 2009  5 relations: 21110
Sat Jan  3 17:43:15 2009  6 relations: 19272
Sat Jan  3 17:43:15 2009  7 relations: 17944
Sat Jan  3 17:43:15 2009  8 relations: 16146
Sat Jan  3 17:43:15 2009  9 relations: 14902
Sat Jan  3 17:43:15 2009  10+ relations: 65738
Sat Jan  3 17:43:15 2009  heaviest cycle: 18 relations
Sat Jan  3 17:43:15 2009  commencing cycle optimization
Sat Jan  3 17:43:17 2009  start with 1677773 relations
Sat Jan  3 17:43:25 2009  pruned 57629 relations
Sat Jan  3 17:43:25 2009  memory use: 53.4 MB
Sat Jan  3 17:43:25 2009  distribution of cycle lengths:
Sat Jan  3 17:43:25 2009  1 relations: 31071
Sat Jan  3 17:43:25 2009  2 relations: 24750
Sat Jan  3 17:43:25 2009  3 relations: 24618
Sat Jan  3 17:43:25 2009  4 relations: 23440
Sat Jan  3 17:43:25 2009  5 relations: 21963
Sat Jan  3 17:43:25 2009  6 relations: 19954
Sat Jan  3 17:43:25 2009  7 relations: 18480
Sat Jan  3 17:43:25 2009  8 relations: 16597
Sat Jan  3 17:43:25 2009  9 relations: 15206
Sat Jan  3 17:43:25 2009  10+ relations: 60169
Sat Jan  3 17:43:25 2009  heaviest cycle: 18 relations
Sat Jan  3 17:43:27 2009  
Sat Jan  3 17:43:27 2009  commencing linear algebra
Sat Jan  3 17:43:27 2009  read 256248 cycles
Sat Jan  3 17:43:28 2009  cycles contain 881602 unique relations
Sat Jan  3 17:43:49 2009  read 881602 relations
Sat Jan  3 17:43:52 2009  using 20 quadratic characters above 67108004
Sat Jan  3 17:44:06 2009  building initial matrix
Sat Jan  3 17:44:32 2009  memory use: 113.5 MB
Sat Jan  3 17:44:32 2009  read 256248 cycles
Sat Jan  3 17:44:33 2009  matrix is 255986 x 256248 (76.0 MB) with weight 24294011 (94.81/col)
Sat Jan  3 17:44:33 2009  sparse part has weight 17112766 (66.78/col)
Sat Jan  3 17:44:47 2009  filtering completed in 3 passes
Sat Jan  3 17:44:47 2009  matrix is 254372 x 254572 (75.7 MB) with weight 24167826 (94.94/col)
Sat Jan  3 17:44:47 2009  sparse part has weight 17038763 (66.93/col)
Sat Jan  3 17:44:49 2009  read 254572 cycles
Sat Jan  3 17:44:50 2009  matrix is 254372 x 254572 (75.7 MB) with weight 24167826 (94.94/col)
Sat Jan  3 17:44:50 2009  sparse part has weight 17038763 (66.93/col)
Sat Jan  3 17:44:50 2009  saving the first 48 matrix rows for later
Sat Jan  3 17:44:50 2009  matrix is 254324 x 254572 (73.0 MB) with weight 19149842 (75.22/col)
Sat Jan  3 17:44:50 2009  sparse part has weight 16585514 (65.15/col)
Sat Jan  3 17:44:50 2009  matrix includes 64 packed rows
Sat Jan  3 17:44:50 2009  using block size 65536 for processor cache size 2048 kB
Sat Jan  3 17:44:57 2009  commencing Lanczos iteration
Sat Jan  3 17:44:57 2009  memory use: 66.9 MB
Sat Jan  3 18:15:46 2009  lanczos halted after 4023 iterations (dim = 254323)
Sat Jan  3 18:15:48 2009  recovered 28 nontrivial dependencies
Sat Jan  3 18:15:48 2009  
Sat Jan  3 18:15:48 2009  commencing square root phase
Sat Jan  3 18:15:48 2009  reading relations for dependency 1
Sat Jan  3 18:15:48 2009  read 127522 cycles
Sat Jan  3 18:15:49 2009  cycles contain 543861 unique relations
Sat Jan  3 18:16:02 2009  read 543861 relations
Sat Jan  3 18:16:09 2009  multiplying 439974 relations
Sat Jan  3 18:18:40 2009  multiply complete, coefficients have about 19.10 million bits
Sat Jan  3 18:18:42 2009  initial square root is modulo 306049
Sat Jan  3 18:23:57 2009  prp44 factor: 13572177173944141379230865642040566250314827
Sat Jan  3 18:23:57 2009  prp60 factor: 738367971619864478723854016085408967268073560203846001125847
Sat Jan  3 18:23:57 2009  elapsed time 00:49:36

GGNFS 0.77.1 for sieving, msieve for LA and square root phase.
Primo certified the PRPs.

Intel Core2duo @ 1.8 GHz, SUSE-Linux 10.3

919311514673951150439111294174677462624324903123651463264402689866367119967306302648765252221039159528208257610858321001789200632773800992252397<144>

20377256037753535452828416239571186361005236315223<50>
45114588194343534065833415325964654228494514623191520923383618903500971446582753698924904046939<95>

Number: 42221_176
N = 919311514673951150439111294174677462624324903123651463264402689866367119967306302648765252221039159528208257610858321001789200632773800992252397 (144 digits)
SNFS difficulty: 178 digits.
Divisors found:
r1=20377256037753535452828416239571186361005236315223 (pp50)
r2=45114588194343534065833415325964654228494514623191520923383618903500971446582753698924904046939 (pp95)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 74.47 hours.
Factorization parameters were as follows:
n: 919311514673951150439111294174677462624324903123651463264402689866367119967306302648765252221039159528208257610858321001789200632773800992252397
m: 100000000000000000000000000000000000
deg: 5
c5: 380
c0: -11
skew: 0.49
# Murphy_E = 1.347e-10
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
Sieved rational special-q in [3200000, 7400000)
Relations: 18115704
Relations in full relation-set: 2011100 relations
Pruned matrix : 1203414 x 1203649
Polynomial selection time: 0.00 hours.
Total sieving time: 73.11 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 1.23 hours.
time per square root: 0.05 hours.

GGNFS, Msieve

217215511236356491646197120850243398385848294748687849643595644403722648226693384265217487526091576061692036124548152983945561628919775173916076180291394757<156>

218744397029665281683792592277091072203<39>
993010628779207321266665114608499673143054354165515890266917869301499333988012016315400467568956903934069305126854319<117>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4189566064
Step 1 took 33137ms
Step 2 took 18495ms
********** Factor found in step 2: 218744397029665281683792592277091072203
Found probable prime factor of 39 digits: 218744397029665281683792592277091072203
Probable prime cofactor 993010628779207321266665114608499673143054354165515890266917869301499333988012016315400467568956903934069305126854319 has 117 digits

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

PPC-G5, 2.5 GHz, Mac OS X

97348620625577183648041376784412115834452979179456137035290129340990368503781847543848597996901769535862081770913632693642167109773372067595575815786813703<155>

157251002800423498231745557116052448842996813864561170463545307321<66>
619065181728144824512650201533604987815482934899437176076691442376560830782293028192810943<90>

N=97348620625577183648041376784412115834452979179456137035290129340990368503781847543848597996901769535862081770913632693642167109773372067595575815786813703
  ( 155 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=157251002800423498231745557116052448842996813864561170463545307321 (pp66)
 r2=619065181728144824512650201533604987815482934899437176076691442376560830782293028192810943 (pp90)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 100.92 hours.
Scaled time: 194.27 units (timescale=1.925).
Factorization parameters were as follows:
n: 97348620625577183648041376784412115834452979179456137035290129340990368503781847543848597996901769535862081770913632693642167109773372067595575815786813703
m: 1000000000000000000000000000000000000
deg: 5
c5: 38
c0: -11
skew: 0.78
# Murphy_E = 1.066e-10
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3700000, 8900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1235762 x 1235988
Total sieving time: 99.12 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 1.46 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,100000
total time: 100.92 hours.
 --------- CPU info (if available) ----------

38424959583797769992324886437001470998347275924184065625950253581419111837738766324104137002042465847949256942395763725203898515679891345885394063<146>

19831389238920942633291611783287009782587<41>
53623501620821504228412187684261143865103<41>
36133090651167577416080720239939021558980180300683144637035584883<65>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2623872371
Step 1 took 16394ms
Step 2 took 7272ms
********** Factor found in step 2: 53623501620821504228412187684261143865103
Found probable prime factor of 41 digits: 53623501620821504228412187684261143865103
Composite cofactor 716569385108519610557045831775870363733397164497223915285627700283437165282038981311030534634452213832321 has 105 digits

N=716569385108519610557045831775870363733397164497223915285627700283437165282038981311030534634452213832321
  ( 105 digits)
Divisors found:
 r1=19831389238920942633291611783287009782587 (pp41)
 r2=36133090651167577416080720239939021558980180300683144637035584883 (pp65)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 11.17 hours.
Scaled time: 9.00 units (timescale=0.806).
Factorization parameters were as follows:
name: c105
n: 716569385108519610557045831775870363733397164497223915285627700283437165282038981311030534634452213832321
skew: 4001.55
# norm 5.92e+13
c5: 111720
c4: -896090422
c3: 847372554458
c2: 33945288757260450
c1: -17794896712985329211
c0: -38055636944713123426820
# alpha -5.06
Y1: 17666743831
Y0: -91500949127808972399
# Murphy_E 1.98e-09
# M 258321135289022200528477860474458143852811542236047795108871636258556647880113269905387578451959501932164
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 259340 x 259565
Polynomial selection time: 0.74 hours.
Total sieving time: 10.13 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
gnfs,104,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 11.17 hours.
 --------- CPU info (if available) ----------

10287806266601794025006800863781541525041758679136465006374979791386920728019178305655399994520480289490399412952888449040350459511187661978018631270988079043681533<164>

75782147652784397005420137353528113<35>
135755010714898869452949025678199105972122459983334039812159735676716342059338321962469593013630612819204264542435169763895315341<129>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=821134725
Step 1 took 11704ms
Step 2 took 6053ms
********** Factor found in step 2: 75782147652784397005420137353528113
Found probable prime factor of 35 digits: 75782147652784397005420137353528113
Probable prime cofactor 135755010714898869452949025678199105972122459983334039812159735676716342059338321962469593013630612819204264542435169763895315341 has 129 digits

GMP-ECM 6.2.1

6086100132074031657344394701298275036645824780374133591286673501608553094582170378915941425385505579071994426142071107919919267025262049897577067319368634992414390581<166>

1651169579738093254499431023907793922205931<43>
17661931230280101145259864535973591366542229<44>
208693645327136700066234985703786047746634502485402739247171658989909588925693219<81>

N=6086100132074031657344394701298275036645824780374133591286673501608553094582170378915941425385505579071994426142071107919919267025262049897577067319368634992414390581
  ( 166 digits)
SNFS difficulty: 187 digits.
Divisors found:
 r1=1651169579738093254499431023907793922205931 (pp43)
 r2=17661931230280101145259864535973591366542229 (pp44)
 r3=208693645327136700066234985703786047746634502485402739247171658989909588925693219 (pp81)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 192.91 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 6086100132074031657344394701298275036645824780374133591286673501608553094582170378915941425385505579071994426142071107919919267025262049897577067319368634992414390581
m: 10000000000000000000000000000000000000
deg: 5
c5: 380
c0: -11
skew: 0.49
# Murphy_E = 5.305e-11
type: snfs
lss: 1
rlim: 9400000
alim: 9400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 240000
Factor base limits: 9400000/9400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4700000, 13580001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1885847 x 1886076
Total sieving time: 188.27 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 3.69 hours.
Time per square root: 0.70 hours.
Prototype def-par.txt line would be:
snfs,187.000,5,0,0,0,0,0,0,0,0,9400000,9400000,28,28,54,54,2.5,2.5,100000
total time: 192.91 hours.
 --------- CPU info (if available) ----------

11423221085120340579545361167269171223913106595103975549804255038207855774958663802606112931530323074845877567277804479976788835638913385519<140>

2646753031162570433716203555082312069197685280060947258399519<61>
4315937660455897942898378781664356096697928779501376775826112502924886315894001<79>

Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 65655.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66157/40.230/50.064/54.890/0.968
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 66157/40.230/44.802/50.840/1.237
Info:Polynomial Selection (size optimized): Total time: 40832.2
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 4635.7
Info:Polynomial Selection (root optimized): Rootsieve time: 4634.23
Info:Generate Factor Base: Total cpu/real time for makefb: 28.12/1.1348
Info:Generate Free Relations: Total cpu/real time for freerel: 310.35/6.21615
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25175900
Info:Lattice Sieving: Average J: 3795.43 for 708086 special-q, max bucket fill: 0.682722
Info:Lattice Sieving: Total CPU time: 1.08606e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 95.42/103.085
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 103.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 426.3/142.14
Info:Filtering - Singleton removal: Total cpu/real time for purge: 261.3/88.5401
Info:Filtering - Merging: Total cpu/real time for merge: 1515.78/1155.63
Info:Filtering - Merging: Total cpu/real time for replay: 112.38/98.6666
Info:Linear Algebra: Total cpu/real time for bwc: 43014.3/0.000766277
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Mksol: WCT time 17632.57
Info:Quadratic Characters: Total cpu/real time for characters: 110.06/138.936
Info:Square Root: Total cpu/real time for sqrt: 4531.41/1479.95
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 1.18194e+06/19280
4315937660455897942898378781664356096697928779501376775826112502924886315894001 2646753031162570433716203555082312069197685280060947258399519

CADO-NFS 2.3.0.

32-core (64-thread) 2GHz Google Compute Engine VM

4949495693102468564857137462014847275084962690555889282805271373461588637756909066866434147135959474928833961685812777094554135045448528863898210554048424002118768038356354597809<178>

375832150285823251963801943606447<33>

13169431325495540700522931115085114511012173448511242545734463676942758815655542079711578357374161512954053203286078300190494821013860645706028447<146>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3279824311
Step 1 took 15916ms
Step 2 took 8379ms
********** Factor found in step 2: 375832150285823251963801943606447
Found probable prime factor of 33 digits: 375832150285823251963801943606447
Composite cofactor has 146 digits

13169431325495540700522931115085114511012173448511242545734463676942758815655542079711578357374161512954053203286078300190494821013860645706028447<146>

956276603516830937978406238709621853569<39>
13771571192961589841833862853688482747346196734485423041265570383728431701766189556898870971868907507954463<107>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2975364834
Step 1 took 11760ms
Step 2 took 6495ms
********** Factor found in step 2: 956276603516830937978406238709621853569
Found probable prime factor of 39 digits: 956276603516830937978406238709621853569
Probable prime cofactor 13771571192961589841833862853688482747346196734485423041265570383728431701766189556898870971868907507954463 has 107 digits

GMP-ECM 6.2.1

10163487609946168055745007310833206381410192645944454970915665175834657475092194011789932184396115374255127564798962210259956176674537894921535789327923440896913837272748484776924413031<185>

92238676107852763259816729714369<32>

110186833103092390774649090660008487821406637141568965549388610139834253319507062767249752482557653014855888025715777277839734871796910969834280443874599<153>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4093897938
Step 1 took 13765ms
Step 2 took 7000ms
********** Factor found in step 2: 92238676107852763259816729714369
Found probable prime factor of 32 digits: 92238676107852763259816729714369
Composite cofactor has 153 digits

GMP-ECM 6.2.1

110186833103092390774649090660008487821406637141568965549388610139834253319507062767249752482557653014855888025715777277839734871796910969834280443874599<153>

31365651990327603120222880770484725425547773<44>
3512977608023939831674046951015980833852289730410843318828490750381434727939248945581817055456294071111621363<109>

110186833103092390774649090660008487821406637141568965549388610139834253319507062767249752482557653014855888025715777277839734871796910969834280443874599=31365651990327603120222880770484725425547773*3512977608023939831674046951015980833852289730410843318828490750381434727939248945581817055456294071111621363

cado polynomial
n: 110186833103092390774649090660008487821406637141568965549388610139834253319507062767249752482557653014855888025715777277839734871796910969834280443874599
skew: 0.55
type: snfs
c0: -11
c6: 380
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 380*x^6-11
# g(x) = -x+100000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 12200000
tasks.lim1 = 12200000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 31365651990327603120222880770484725425547773 3512977608023939831674046951015980833852289730410843318828490750381434727939248945581817055456294071111621363
Info:Square Root: Total cpu/real time for sqrt: 746.74/225.178
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 27818557
Info:Lattice Sieving: Average J: 1895.82 for 3257693 special-q, max bucket fill -bkmult 1.0,1s:1.172080
Info:Lattice Sieving: Total time: 616620s
Info:Square Root: Total cpu/real time for sqrt: 746.74/225.178
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 116.84/135.935
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 134.89999999999998s
Info:Filtering - Merging: Merged matrix has 2404009 rows and total weight 408993727 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 649.18/179.895
Info:Filtering - Merging: Total cpu/real time for replay: 94.17/81.0687
Info:Linear Algebra: Total cpu/real time for bwc: 99861.9/25541.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 63927.04, WCT time 16299.3, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (75264 iterations)
Info:Linear Algebra: Lingen CPU time 514.66, WCT time 130.38
Info:Linear Algebra: Mksol: CPU time 34576.0,  WCT time 8831.58, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (37888 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 83.63/36.2279
Info:Generate Free Relations: Total cpu/real time for freerel: 182.11/46.7758
Info:Generate Factor Base: Total cpu/real time for makefb: 7.95/3.40381
Info:Filtering - Singleton removal: Total cpu/real time for purge: 416.96/473.458
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 527.36/537.376
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 439.90000000000003s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.28143e+06/100550
Info:root: Cleaning up computation data in /tmp/cado.cb12zpmj
31365651990327603120222880770484725425547773 3512977608023939831674046951015980833852289730410843318828490750381434727939248945581817055456294071111621363

cado-nfs-3.0.0

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

173795635373233784498294409850595114802403329905238591310449500522623808245192924299240227562637782216554339084173379151551965745067837381737892934987031025639971734437649653229<177>

3004086230499804808345868632693858227799527773109121713585732341541692790071712301<82>
57853078120303669803831652407659164347468814772956899840056085748504889343739965851850548046529<95>

p82 factor: 3004086230499804808345868632693858227799527773109121713585732341541692790071712301
p95 factor: 57853078120303669803831652407659164347468814772956899840056085748504889343739965851850548046529


Msieve v. 1.54 (SVN 1034)
random seeds: b0a1d3c9 40e7f9c6
factoring 173795635373233784498294409850595114802403329905238591310449500522623808245192924299240227562637782216554339084173379151551965745067837381737892934987031025639971734437649653229 (177 digits)
searching for 15-digit factors
commencing number field sieve (177-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: -55
A1: 0
A2: 0
A3: 0
A4: 0
A5: 19
skew 1.00, size 9.088e-14, alpha 1.284, combined = 1.879e-11 rroots = 1

commencing relation filtering
estimated available RAM is 15892.2 MB
commencing duplicate removal, pass 1
found 2240889 hash collisions in 36239405 relations
added 726293 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 36965698 unique relations
memory use: 98.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1226.8 MB
keeping 39999661 ideals with weight <= 200, target excess is 194656
commencing in-memory singleton removal
begin with 36965698 relations and 39999661 unique ideals
reduce to 13814328 relations and 12841493 ideals in 15 passes
max relations containing the same ideal: 108
removing 2091248 relations and 1717731 ideals in 373517 cliques
commencing in-memory singleton removal
begin with 11723080 relations and 12841493 unique ideals
reduce to 11445607 relations and 10836469 ideals in 9 passes
max relations containing the same ideal: 93
removing 1683901 relations and 1310384 ideals in 373517 cliques
commencing in-memory singleton removal
begin with 9761706 relations and 10836469 unique ideals
reduce to 9538887 relations and 9295683 ideals in 9 passes
max relations containing the same ideal: 85
removing 140718 relations and 123315 ideals in 17403 cliques
commencing in-memory singleton removal
begin with 9398169 relations and 9295683 unique ideals
reduce to 9396604 relations and 9170801 ideals in 5 passes
max relations containing the same ideal: 83
relations with 0 large ideals: 3967
relations with 1 large ideals: 7174
relations with 2 large ideals: 66419
relations with 3 large ideals: 347080
relations with 4 large ideals: 1079180
relations with 5 large ideals: 2094124
relations with 6 large ideals: 2666383
relations with 7+ large ideals: 3132277
commencing 2-way merge
reduce to 5807715 relation sets and 5581912 unique ideals
commencing full merge
memory use: 663.1 MB
found 2708245 cycles, need 2688112
weight of 2688112 cycles is about 242281395 (90.13/cycle)
distribution of cycle lengths:
1 relations: 234279
2 relations: 238124
3 relations: 243897
4 relations: 235313
5 relations: 223804
6 relations: 203729
7 relations: 188684
8 relations: 169023
9 relations: 150264
10+ relations: 800995
heaviest cycle: 28 relations
commencing cycle optimization
start with 19943234 relations
pruned 666018 relations
memory use: 588.2 MB
distribution of cycle lengths:
1 relations: 234279
2 relations: 243974
3 relations: 253182
4 relations: 243014
5 relations: 232100
6 relations: 209734
7 relations: 193684
8 relations: 172056
9 relations: 152978
10+ relations: 753111
heaviest cycle: 28 relations
RelProcTime: 989
elapsed time 00:16:31


Msieve v. 1.54 (SVN 1034)
random seeds: 6c47499d 1afe0da1
factoring 173795635373233784498294409850595114802403329905238591310449500522623808245192924299240227562637782216554339084173379151551965745067837381737892934987031025639971734437649653229 (177 digits)
searching for 15-digit factors
commencing number field sieve (177-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: -55
A1: 0
A2: 0
A3: 0
A4: 0
A5: 19
skew 1.00, size 9.088e-14, alpha 1.284, combined = 1.879e-11 rroots = 1

commencing linear algebra
read 2688112 cycles
cycles contain 9232634 unique relations
read 9232634 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 1162.6 MB
read 2688112 cycles
matrix is 2687935 x 2688112 (988.9 MB) with weight 289361022 (107.64/col)
sparse part has weight 229669615 (85.44/col)
filtering completed in 2 passes
matrix is 2687204 x 2687381 (988.9 MB) with weight 289334732 (107.66/col)
sparse part has weight 229660555 (85.46/col)
matrix starts at (0, 0)
matrix is 2687204 x 2687381 (988.9 MB) with weight 289334732 (107.66/col)
sparse part has weight 229660555 (85.46/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2687156 x 2687381 (940.2 MB) with weight 237452388 (88.36/col)
sparse part has weight 219605921 (81.72/col)
using block size 8192 and superblock size 786432 for processor cache size 8192 kB
commencing Lanczos iteration (8 threads)
memory use: 898.3 MB
linear algebra at 0.1%, ETA 3h26m
checkpointing every 730000 dimensions
lanczos halted after 42495 iterations (dim = 2687156)
recovered 38 nontrivial dependencies
BLanczosTime: 12667
elapsed time 03:31:08


Msieve v. 1.54 (SVN 1034)
random seeds: 10a23f9d 450f293b
factoring 173795635373233784498294409850595114802403329905238591310449500522623808245192924299240227562637782216554339084173379151551965745067837381737892934987031025639971734437649653229 (177 digits)
searching for 15-digit factors
commencing number field sieve (177-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: -55
A1: 0
A2: 0
A3: 0
A4: 0
A5: 19
skew 1.00, size 9.088e-14, alpha 1.284, combined = 1.879e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1344473 cycles
cycles contain 4619168 unique relations
read 4619168 relations
multiplying 4619168 relations
multiply complete, coefficients have about 124.00 million bits
initial square root is modulo 794597801
sqrtTime: 236
p82 factor: 3004086230499804808345868632693858227799527773109121713585732341541692790071712301
p95 factor: 57853078120303669803831652407659164347468814772956899840056085748504889343739965851850548046529
elapsed time 00:03:57

CADO-NFS/Msieve

1029810298102981029810298102981029810298102981029810298102981029810298102981029810298102981029810298102981029810298102981029810298102981029810298102981029810298102981029810298102981029810298102981<196>

838649704654846390758515578850272712034860490204961<51>
1227938545005281377336927487713597735223128756351156783641718045398180364148362046277704501731373166079193454606684278099220646885720543931030821<145>

Number: n
N=1029810298102981029810298102981029810298102981029810298102981029810298102981029810298102981029810298102981029810298102981029810298102981029810298102981029810298102981029810298102981029810298102981
  ( 196 digits)
SNFS difficulty: 198 digits.
Divisors found:

Wed May 13 08:29:26 2009  prp51 factor: 838649704654846390758515578850272712034860490204961
Wed May 13 08:29:26 2009  prp145 factor: 1227938545005281377336927487713597735223128756351156783641718045398180364148362046277704501731373166079193454606684278099220646885720543931030821
Wed May 13 08:29:26 2009  elapsed time 07:26:30 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20050930-k8
Total time: 45.69 hours.
Scaled time: 92.01 units (timescale=2.014).
Factorization parameters were as follows:
name: KA_4_2_195_1
n: 1029810298102981029810298102981029810298102981029810298102981029810298102981029810298102981029810298102981029810298102981029810298102981029810298102981029810298102981029810298102981029810298102981
m: 2000000000000000000000000000000000000000
deg: 5
c5: 95
c0: -88
skew: 0.98
type: snfs
lss: 1
rlim: 14200000
alim: 14200000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 14200000/14200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [7100000, 17600069)
Primes: RFBsize:922193, AFBsize:921099, largePrimes:21624209 encountered
Relations: rels:22687579, finalFF:1832439
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3063498 hash collisions in 25110169 relations
Msieve: matrix is 2255039 x 2255287 (612.2 MB)

Total sieving time: 45.26 hours.
Total relation processing time: 0.43 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14200000,14200000,28,28,56,56,2.5,2.5,100000
total time: 45.69 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 3368968k/3407296k available (2747k kernel code, 36968k reserved, 1425k data, 416k init, 2489792k highmem)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.95 BogoMIPS (lpj=2830476)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830446)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Total of 4 processors activated (22643.65 BogoMIPS).

39493239380995437491555721842879265010029204211226472941934545152204865982810047911535143786570220018915183071950446377534582566852700610066618859061100198505492678161277918082707157629989918831<194>

16144897240287037854034394892223070079726194609<47>
513956589958431246658351567326073849306684445050970304489876299483<66>
4759496738201803077142800032744059301925449288884746616523144815135948357946479373<82>

Number: n
N=39493239380995437491555721842879265010029204211226472941934545152204865982810047911535143786570220018915183071950446377534582566852700610066618859061100198505492678161277918082707157629989918831
  ( 194 digits)
SNFS difficulty: 198 digits.
Divisors found:

Sun Mar 28 10:22:30 2010  prp47 factor: 16144897240287037854034394892223070079726194609
Sun Mar 28 10:22:30 2010  prp66 factor: 513956589958431246658351567326073849306684445050970304489876299483
Sun Mar 28 10:22:30 2010  prp82 factor: 4759496738201803077142800032744059301925449288884746616523144815135948357946479373
Sun Mar 28 10:22:30 2010  elapsed time 05:49:20 (Msieve 1.42 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.075).
Factorization parameters were as follows:
name: KA_4_2_196_1
n: 39493239380995437491555721842879265010029204211226472941934545152204865982810047911535143786570220018915183071950446377534582566852700610066618859061100198505492678161277918082707157629989918831
m: 1000000000000000000000000000000000000000
deg: 5
c5: 3800
c0: -11
skew: 0.31
type: snfs
lss: 1
rlim: 14300000
alim: 14300000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 14300000/14300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 22150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5676070 hash collisions in 34218262 relations
Msieve: matrix is 2024958 x 2025183 (571.0 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14300000,14300000,28,28,56,56,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6060216k/7077888k available (3972k kernel code, 787972k absent, 229700k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.79 BogoMIPS (lpj=2798398)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797551)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44762.55 BogoMIPS).

752534499961367908323419835432278965141241263613794849800559645888450395458093315354479300187884037333469548246405613740423618402927558339<138>

626458542133312514061650264052738304755812776064251<51>
1201251877576323319576417319210715394467021832008025586703205709034050663839244637840089<88>

Number: 42221_198
N = 752534499961367908323419835432278965141241263613794849800559645888450395458093315354479300187884037333469548246405613740423618402927558339 (138 digits)
Divisors found:
r1=626458542133312514061650264052738304755812776064251 (pp51)
r2=1201251877576323319576417319210715394467021832008025586703205709034050663839244637840089 (pp88)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 275.13 hours.
Factorization parameters were as follows:
# Murphy_E = 3.049e-11, selected by Erik Branger
n: 752534499961367908323419835432278965141241263613794849800559645888450395458093315354479300187884037333469548246405613740423618402927558339
Y0: -519962900271780428123130124
Y1: 505930815348499
c0: -43421951261671299089873101685539779
c1: 220425579530353953453105465229
c2: 50911784312152319451809
c3: -207214113587606181
c4: -26373721342
c5: 19800
skew: 1714528.9
type: gnfs
# selected mechanically
rlim: 16000000
alim: 16000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [8000000, 19800000)
Relations: 23019551
Relations in full relation-set: 3740492 relations
Pruned matrix : 2299374 x 2299602
Polynomial selection time: 0.00 hours.
Total sieving time: 270.19 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 4.65 hours.
time per square root: 0.17 hours.
Prototype def-par.txt line would be: gnfs,137,5,65,2000,1e-05,0.28,250,20,50000,3600,16000000,16000000,28,28,55,55,2.6,2.6,100000
total time: 275.13 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

67855170001745793681051231061414046772902066871417278217083743388828146137903786650508754401350988582215774057562428055727647188862106997195282011231188466391288289217094355918779<179>

43012209737164119935917017976631794935880922464046074708576131176160807107<74>
1577579259851800844807647852567842310060155699461701021081046635349401142744776132175692802108483790544297<106>

67855170001745793681051231061414046772902066871417278217083743388828146137903786650508754401350988582215774057562428055727647188862106997195282011231188466391288289217094355918779=43012209737164119935917017976631794935880922464046074708576131176160807107*1577579259851800844807647852567842310060155699461701021081046635349401142744776132175692802108483790544297

cado polynomial
n: 67855170001745793681051231061414046772902066871417278217083743388828146137903786650508754401350988582215774057562428055727647188862106997195282011231188466391288289217094355918779
skew: 0.55
type: snfs
c0: -11
c6: 380
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 380*x^6-11
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 15400000
tasks.lim1 = 15400000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.I = 12
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1577579259851800844807647852567842310060155699461701021081046635349401142744776132175692802108483790544297 43012209737164119935917017976631794935880922464046074708576131176160807107
Info:Square Root: Total cpu/real time for sqrt: 1088.56/327.568
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 45540249
Info:Lattice Sieving: Average J: 1895.95 for 4091363 special-q, max bucket fill -bkmult 1.0,1s:1.185800
Info:Lattice Sieving: Total time: 955567s
Info:Square Root: Total cpu/real time for sqrt: 1088.56/327.568
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 193.32/230.545
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 230.0s
Info:Filtering - Merging: Merged matrix has 3322723 rows and total weight 565219911 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 936.86/259.403
Info:Filtering - Merging: Total cpu/real time for replay: 135.21/120.827
Info:Linear Algebra: Total cpu/real time for bwc: 201243/51566.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 129466.72, WCT time 33049.53, iteration CPU time 0.3, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (103936 iterations)
Info:Linear Algebra: Lingen CPU time 726.56, WCT time 184.42
Info:Linear Algebra: Mksol: CPU time 69750.31,  WCT time 17843.92, iteration CPU time 0.32, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (52224 iterations)
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 758.26/608.23
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 497.49999999999994s
Info:Quadratic Characters: Total cpu/real time for characters: 122.07/51.3131
Info:Generate Factor Base: Total cpu/real time for makefb: 10.09/3.89202
Info:Filtering - Singleton removal: Total cpu/real time for purge: 487.37/422.294
Info:Generate Free Relations: Total cpu/real time for freerel: 370.38/94.5579
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.0518e+06/121939
Info:root: Cleaning up computation data in /tmp/cado.cj9xlrwu
1577579259851800844807647852567842310060155699461701021081046635349401142744776132175692802108483790544297 43012209737164119935917017976631794935880922464046074708576131176160807107

cado-nfs-3.0.0

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

4726774286751842953544764096924572983754513684930460331886785876580852931325969539457794460735815378513837608100859815786928079501275771<136>

6852656464096025436371244445439359480230787<43>
689772544635415309497009779618886362484833616944728763206289561014671034025599630341187435433<93>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=196654728
Step 1 took 50226ms
Step 2 took 17936ms
********** Factor found in step 2: 6852656464096025436371244445439359480230787
Found probable prime factor of 43 digits: 6852656464096025436371244445439359480230787
Probable prime cofactor 689772544635415309497009779618886362484833616944728763206289561014671034025599630341187435433 has 93 digits

46123878892887782420502848523190053108605875781933009695682487312115176740377731998861875529653591177653907004977754568781228399532187451404343688959469432490972801914364038455047657276605581<191>

25141673893040602623873383754278225221411814219<47>
1834558792270995371783245814087173614578348198435104967613512187324216951015005169947080855897648609395857615002161311394067523555303927337304199<145>

N=46123878892887782420502848523190053108605875781933009695682487312115176740377731998861875529653591177653907004977754568781228399532187451404343688959469432490972801914364038455047657276605581
  ( 191 digits)
SNFS difficulty: 203 digits.
Divisors found:
 r1=25141673893040602623873383754278225221411814219 (pp47)
 r2=1834558792270995371783245814087173614578348198435104967613512187324216951015005169947080855897648609395857615002161311394067523555303927337304199 (pp145)
Version: Msieve v. 1.49
Total time:
Scaled time: 151.48 units (timescale=1.802).
Factorization parameters were as follows:
n: 46123878892887782420502848523190053108605875781933009695682487312115176740377731998861875529653591177653907004977754568781228399532187451404343688959469432490972801914364038455047657276605581
m: 10000000000000000000000000000000000000000
deg: 5
c5: 3800
c0: -11
skew: 0.31
type: snfs
lss: 1
rlim: 17300000
alim: 17300000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 320000
Factor base limits: 17300000/17300000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [8650000, 23370001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3672956 x 3673182
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,203.000,5,0,0,0,0,0,0,0,0,17300000,17300000,29,29,56,56,2.6,2.6,100000
total time:

128227740065641046498540703227408162120302685824286674576208220332570996233481718764239057394005297491056584720736503013067676899462124117249471601002642514830911925296939506222337450109686589<192>

107235750601878742050132656676334875757<39>

1195755513864930510711272769367163784575199876403231037140425685203235741576526225509013460261610898005262291688015737537356191720044648965670490816296977<154>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1997843629
Step 1 took 22955ms
Step 2 took 9270ms
********** Factor found in step 2: 107235750601878742050132656676334875757
Found probable prime factor of 39 digits: 107235750601878742050132656676334875757

649136806912797236715311540044968844719072218873649158811245904032124215956342039961772589773685013315324061403810846515196379930571143958376174817965442021760335915294631314383870717<183>

490249829535917521091861482190044346467216507<45>
26788529071771972484809853738424416090197987754188191249934071553331<68>
49427644671169611942989579818486955546213468082705335630028285991992701<71>

#
# N = 38x10^204-11 = 42(203)1
#
n: 649136806912797236715311540044968844719072218873649158811245904032124215956342039961772589773685013315324061403810846515196379930571143958376174817965442021760335915294631314383870717
m: 100000000000000000000000000000000000000000
deg: 5
c5: 19
c0: -55
skew: 1.24
# Murphy_E = 8.17e-12
type: snfs
lss: 1
rlim: 19200000
alim: 19200000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 649136806912797236715311540044968844719072218873649158811245904032124215956342039961772589773685013315324061403810846515196379930571143958376174817965442021760335915294631314383870717 (18
3 digits)
Using B1=38080000, B2=192391699516, polynomial Dickson(12), sigma=1:493069267
Step 1 took 103363ms
Step 2 took 33952ms
********** Factor found in step 2: 490249829535917521091861482190044346467216507
Found prime factor of 45 digits: 490249829535917521091861482190044346467216507
Composite cofactor 1324093896222842166781666484953018822965690582801859256686140190848370138494408035169117927725213838865487775130248085024081679451084237031 has 139 digits



CADO

STA:Tue 29 Jun 2021 02:43:52 AEST (1324093896222842166781666484953018822965690582801859256686140190848370138494408035169117927725213838865487775130248085024081679451084237031 - C139)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors 1324093896222842166781666484953018822965690582801859256686140190848370138494408035169117927725213838865487775130248085024081679451084237031
 2>&1 | tee -a log15

Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c140
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.j7c4qitb
Info:Database: Opened connection to database /tmp/cado.j7c4qitb/c140.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors 1324093896222842166781666484953018822965690582801859256686140190848370138494408035169117927725213838865
487775130248085024081679451084237031
Info:root: If this computation gets interrupted, it can be resumed with /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py /tmp/cado.j7c4qitb/c140.parameters_snapshot.0
Info:Server Launcher: Adding linux-6 to whitelist to allow clients on localhost to connect
Info:HTTP server: Using non-threaded HTTPS server
Info:HTTP server: Using whitelist: localhost,linux-6
Info:Complete Factorization: Factoring 1324093896222842166781666484953018822965690582801859256686140190848370138494408035169117927725213838865487775130248085024081679451084237031
...
n: 1324093896222842166781666484953018822965690582801859256686140190848370138494408035169117927725213838865487775130248085024081679451084237031
skew: 165940.555
c0: -107917990671145368728917730402640
c1: -2146992851434824411822660618
c2: 24879625542852703029545
c3: 41731186088105369
c4: -90910763244
c5: 1128960
Y0: -372222665482503888252538033
Y1: 78486780582790241303
# MurphyE (Bf=2.02e+07,Bg=1.65e+07,area=6.79e+14) = 9.35e-10
# f(x) = 1128960*x^5-90910763244*x^4+41731186088105369*x^3+24879625542852703029545*x^2-2146992851434824411822660618*x-107917990671145368728917730402640
# g(x) = 78486780582790241303*x-372222665482503888252538033
...
Info:Square Root: Factors: 49427644671169611942989579818486955546213468082705335630028285991992701 26788529071771972484809853738424416090197987754188191249934071553331
Info:Square Root: Total cpu/real time for sqrt: 2323.98/323.291
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 65655.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66812/41.420/49.726/55.790/0.976
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 66812/40.580/44.416/50.360/1.167
Info:Polynomial Selection (size optimized): Total time: 27872.3
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2457.23
Info:Polynomial Selection (root optimized): Rootsieve time: 2456.23
Info:Generate Factor Base: Total cpu/real time for makefb: 26.24/2.36957
Info:Generate Free Relations: Total cpu/real time for freerel: 305.58/20.9419
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25185930
Info:Lattice Sieving: Average J: 3773.73 for 755510 special-q, max bucket fill: 0.700885
Info:Lattice Sieving: Total CPU time: 726903s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 68.67/88.6498
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 88.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 408.64/127.841
Info:Filtering - Singleton removal: Total cpu/real time for purge: 195.01/87.3576
Info:Filtering - Merging: Total cpu/real time for merge: 887.26/746.589
Info:Filtering - Merging: Total cpu/real time for replay: 72.6/56.8093
Info:Linear Algebra: Total cpu/real time for bwc: 105594/0.000280857
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 4500.0
Info:Linear Algebra: Lingen CPU time 481.92, WCT time 46.87
Info:Linear Algebra: Mksol: WCT time 2475.4
Info:Quadratic Characters: Total cpu/real time for characters: 73.65/17.7656
Info:Square Root: Total cpu/real time for sqrt: 2323.98/323.291
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 867188/57714.7
Info:root: Cleaning up computation data in /tmp/cado.j7c4qitb
49427644671169611942989579818486955546213468082705335630028285991992701 26788529071771972484809853738424416090197987754188191249934071553331

END:Tue 29 Jun 2021 18:45:47 AEST (1324093896222842166781666484953018822965690582801859256686140190848370138494408035169117927725213838865487775130248085024081679451084237031 - C139)

8627243818944365721065312794490677306276783017312225044550981091510052140280753563630694739431869117196820517033912817351204004002640941170412364246985042391405474022781<169>

2155147319503677256225772728687733721647951<43>

4003087742944268521379963362872963460141797322850932367811733560367643113557782028310692292724733763276860200297571597690601331<127>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4120305921
Step 1 took 70787ms
Step 2 took 28587ms
********** Factor found in step 2: 2155147319503677256225772728687733721647951
Found probable prime factor of 43 digits: 2155147319503677256225772728687733721647951
Composite cofactor 4003087742944268521379963362872963460141797322850932367811733560367643113557782028310692292724733763276860200297571597690601331 has 127 digits

4003087742944268521379963362872963460141797322850932367811733560367643113557782028310692292724733763276860200297571597690601331<127>

11025095387897247604422959986339983951263667569685191407<56>
363088717340136699857971075254384577777433683457760862882677977197900733<72>

Number: 42221_205
N = 4003087742944268521379963362872963460141797322850932367811733560367643113557782028310692292724733763276860200297571597690601331 (127 digits)
Divisors found:
r1=11025095387897247604422959986339983951263667569685191407 (pp56)
r2=363088717340136699857971075254384577777433683457760862882677977197900733 (pp72)
Version: Msieve v. 1.51 (SVN 845)
Total time: 34.55 hours.
Factorization parameters were as follows:
# Murphy_E = 1.269e-10, selected by Dmitry Domanov
n: 4003087742944268521379963362872963460141797322850932367811733560367643113557782028310692292724733763276860200297571597690601331
Y0: -4066480882515632754179592
Y1: 13509700186429
c0: -198073286888311110339273504108025
c1: -880023411503042676499961997
c2: 1252028319812140037393
c3: -2174067730696611
c4: -2659632760
c5: 3600
skew: 783204.59
type: gnfs
# selected mechanically
rlim: 7900000
alim: 7900000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7900000/7900000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 17362719
Relations: 1846980 relations
Pruned matrix : 1083448 x 1083684
Polynomial selection time: 0.00 hours.
Total sieving time: 33.48 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.81 hours.
time per square root: 0.18 hours.
Prototype def-par.txt line would be: gnfs,126,5,65,2000,1e-05,0.28,250,20,50000,3600,7900000,7900000,28,28,53,53,2.5,2.5,100000
total time: 34.55 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz

GGNFS, Msieve

22978153883739058227537475304709855768085749007779925975453978781251602469573117158300141432434034613891018929498123618517669319243<131>

5896273260723110906270924533724585141957<40>
3897063936436529536398236704225476105851824817330256340348911167329800944435823179161691599<91>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2224565766
Step 1 took 8337ms
Step 2 took 4528ms
********** Factor found in step 2: 5896273260723110906270924533724585141957
Found probable prime factor of 40 digits: 5896273260723110906270924533724585141957
Probable prime cofactor 3897063936436529536398236704225476105851824817330256340348911167329800944435823179161691599 has 91 digits

25558060086539895830595628721333463301067292524228494880417827416030861699576146977780739176937092155481455475537259850997488755936540506031793338471685342618228479013725234617187<179>

249936332822219522307334371871053348886002250056551029230904122719633017<72>
102258282331122390722816744901551615400397231322231543885550848957793201762855801574786650959850565274862011<108>

249936332822219522307334371871053348886002250056551029230904122719633017 * 102258282331122390722816744901551615400397231322231543885550848957793201762855801574786650959850565274862011

using SNFS with provided polynomial

cado-nfs d6f757379937756ac59c3abc825b07bfa083037c

195987055591842310317033953397917181448461542931511554414980991718339274530003158320090880839093073170604043960029987062439647879669550052591334940556818595737729953904495534038833<180>

7576741480905528909771213465972910925452172232433<49>
71904538024231088712334872975726574916725917565267<50>
359739907503852952564817057125643031473874749482694375094581554465807141992175003<81>

Number: n
N=195987055591842310317033953397917181448461542931511554414980991718339274530003158320090880839093073170604043960029987062439647879669550052591334940556818595737729953904495534038833  ( 180 digits)
SNFS difficulty: 209 digits.
Divisors found:

Sat Nov  9 19:13:56 2024  prp49 factor: 7576741480905528909771213465972910925452172232433
Sat Nov  9 19:13:56 2024  prp50 factor: 71904538024231088712334872975726574916725917565267
Sat Nov  9 19:13:56 2024  prp81 factor: 359739907503852952564817057125643031473874749482694375094581554465807141992175003
Sat Nov  9 19:13:56 2024  elapsed time 04:58:30 (Msieve 1.44 - dependency 4)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.131).
Factorization parameters were as follows:
#
# N = 38x10^208-11 = 42(207)1
#
n: 195987055591842310317033953397917181448461542931511554414980991718339274530003158320090880839093073170604043960029987062439647879669550052591334940556818595737729953904495534038833
m: 100000000000000000000000000000000000000000
deg: 5
c5: 38000
c0: -11
skew: 0.20
# Murphy_E = 4.264e-12
type: snfs
lss: 1
rlim: 22000000
alim: 22000000
lpbr: 27
lpba: 27
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
q0: 50000
qintsize: 50000
Factor base limits: 22000000/22000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 57/57
Sieved  special-q in [50000, 88450000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8752717 hash collisions in 27769053 relations (16685935 unique)
Msieve: matrix is 2932128 x 2932353 (825.1 MB)

Sieving start time: 2024/11/07 15:01:45
Sieving end time  : 2024/11/09 14:09:25

Total sieving time: 47hrs 7min 40secs.

Total relation processing time: 4hrs 33min 34sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 18min 34sec.

Prototype def-par.txt line would be:
snfs,209,5,0,0,0,0,0,0,0,0,22000000,22000000,27,27,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

671714769337680349329911123103269965749041379616046241232544707758221398178324394839971301395429191066171928687253503319773961575656230585050194980403746054179446594011530875388639763578610988046897<198>

1766328127731871583678084056656980127359811128622227213106023769790089324145477472859547<88>
380288780318651290674426767882623373162084744632200952829625058146895839051528720347163159191217736645761430051<111>

1766328127731871583678084056656980127359811128622227213106023769790089324145477472859547 * 380288780318651290674426767882623373162084744632200952829625058146895839051528720347163159191217736645761430051

the provided polynomial for SNFS was used

cado-nfs d6f757379937756ac59c3abc825b07bfa083037c

422222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221<213>

70639530791082395076689975237<29>

5977137977755706968540054911593388363068754004846090802502060727631239162153575684386182623115618422064172370312761413422960638665292725697026560274019414865555967911079918851176616233<184>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3074348111
Step 1 took 21578ms
Step 2 took 8068ms
********** Factor found in step 2: 70639530791082395076689975237
Found probable prime factor of 29 digits: 70639530791082395076689975237
Composite cofactor 5977137977755706968540054911593388363068754004846090802502060727631239162153575684386182623115618422064172370312761413422960638665292725697026560274019414865555967911079918851176616233 has 184 digits

5977137977755706968540054911593388363068754004846090802502060727631239162153575684386182623115618422064172370312761413422960638665292725697026560274019414865555967911079918851176616233<184>

282363427548091164479626247698755073<36>

21168244165536280213309002251780497794393450715139305421264673462683636239279650203616054589128139552949033589288560010724317098336706740791167578921<149>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2685277947
Step 1 took 15993ms
Step 2 took 6672ms
********** Factor found in step 2: 282363427548091164479626247698755073
Found probable prime factor of 36 digits: 282363427548091164479626247698755073
Composite cofactor 21168244165536280213309002251780497794393450715139305421264673462683636239279650203616054589128139552949033589288560010724317098336706740791167578921 has 149 digits

1819510280840319841210333858992330648846417603638263526922675410771215460404714282884225226624276639563889604625112065583518763313189152934621758054861094993473103130260436332957<178>

2983970620666226766204708130581347580746809067123809717126071457629743213771635879618024963905038432989844260593858542893004528848256275030014211983137841585539699442669146809753<178>

21134399755963884420183735598414615267<38>
141190223291020346732919589477871107571067935681061413809911340785890581875111965699041869030952087937906291917652713678148183799466196927059<141>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1143819567
Step 1 took 15681ms
Step 2 took 6384ms
********** Factor found in step 2: 21134399755963884420183735598414615267
Found probable prime factor of 38 digits: 21134399755963884420183735598414615267
Probable prime cofactor 141190223291020346732919589477871107571067935681061413809911340785890581875111965699041869030952087937906291917652713678148183799466196927059 has 141 digits

107736959645987691335878760764127221472316279423176318055381900587705114868862856237218639968313993131485304253426814992108267705931401609646880774027681027152832532252334702443275781950600335855795780623734622321<213>

57957417878545531249406579989748527422632418497<47>
5968036248711643243175745933160749471662079102215573567327<58>
311475746033537638793660789042194966646016770152300566594793949880666361443544227433324265237703724903877359<108>

Number: n
N=107736959645987691335878760764127221472316279423176318055381900587705114868862856237218639968313993131485304253426814992108267705931401609646880774027681027152832532252334702443275781950600335855795780623734622321
  ( 213 digits)
SNFS difficulty: 218 digits.
Divisors found:

Sun Oct 29 19:47:56 2017  found factor: 57957417878545531249406579989748527422632418497
Sun Oct 29 19:55:54 2017  found factor: 57957417878545531249406579989748527422632418497
Sun Oct 29 20:04:56 2017  p47 factor: 57957417878545531249406579989748527422632418497
Sun Oct 29 20:04:56 2017  p58 factor: 5968036248711643243175745933160749471662079102215573567327
Sun Oct 29 20:04:56 2017  p108 factor: 311475746033537638793660789042194966646016770152300566594793949880666361443544227433324265237703724903877359
Sun Oct 29 20:04:56 2017  elapsed time 07:23:05 (Msieve 1.53 - dependency 4)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.812).
Factorization parameters were as follows:
#
# 38x10^217-11 42(216)1
#
n: 107736959645987691335878760764127221472316279423176318055381900587705114868862856237218639968313993131485304253426814992108267705931401609646880774027681027152832532252334702443275781950600335855795780623734622321
m: 1000000000000000000000000000000000000
deg: 6
c6: 380
c0: -11
skew: 0.55
# Murphy_E = 2.546e-12
type: snfs
lss: 1
rlim: 31000000
alim: 31000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 31000000/31000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 69100000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 13025071 hash collisions in 72280272 relations (60409755 unique)
Msieve: matrix is 4044301 x 4044529 (1149.1 MB)

Sieving start time: 2017/10/27 19:46:53
Sieving end time  : 2017/10/29 12:40:38

Total sieving time: 40hrs 53min 45secs.

Total relation processing time: 6hrs 30min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 31min 51sec.

Prototype def-par.txt line would be:
snfs,218,6,0,0,0,0,0,0,0,0,31000000,31000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.068000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16297368K/16703460K available (9281K kernel code, 2477K rwdata, 3992K rodata, 2324K init, 2384K bss, 406092K reserved, 0K cma-reserved)
[    0.100635] x86/mm: Memory block size: 128MB
[    0.008000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.86 BogoMIPS (lpj=11977728)
[    0.098232] smpboot: Total of 16 processors activated (95821.82 BogoMIPS)

747928939140905693018040778001034269677286588022811085964250929678713343069063529783772933043603463301044225593869476917368013708988390995943914585892572090130518529982927090881<177>

956742813878371975994297342802488076714364431418277267705960563480090101341166816543532751249198671708560703053446172686344654500810221835328619154757960949396140695176352113227979918656446165957755509678423<207>

3135948824866826324912924526938107388358931544010932882895228661<64>
305088784068088793061376544561243766215661067080503914811802510986058983977028667850028822467233075635301861896088135565266145407368570350086043<144>

Number: n
N=956742813878371975994297342802488076714364431418277267705960563480090101341166816543532751249198671708560703053446172686344654500810221835328619154757960949396140695176352113227979918656446165957755509678423
  ( 207 digits)
SNFS difficulty: 220 digits.
Divisors found:

Thu Jan  2 08:41:03 2020  p64 factor: 3135948824866826324912924526938107388358931544010932882895228661
Thu Jan  2 08:41:03 2020  p144 factor: 305088784068088793061376544561243766215661067080503914811802510986058983977028667850028822467233075635301861896088135565266145407368570350086043
Thu Jan  2 08:41:03 2020  elapsed time 07:38:40 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.132).
Factorization parameters were as follows:
#
# N = 38x10^219-11 = 42(218)1
#
n: 956742813878371975994297342802488076714364431418277267705960563480090101341166816543532751249198671708560703053446172686344654500810221835328619154757960949396140695176352113227979918656446165957755509678423
m: 1000000000000000000000000000000000000
deg: 6
c6: 38000
c0: -11
skew: 0.26
# Murphy_E = 2.477e-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, 78100000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9795658 hash collisions in 60817272 relations (53453403 unique)
Msieve: matrix is 4100712 x 4100937 (1449.3 MB)

Sieving start time: 2019/12/31 10:33:41
Sieving end time  : 2020/01/02 01:00:41

Total sieving time: 38hrs 27min 0secs.

Total relation processing time: 6hrs 58min 26sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 20min 40sec.

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) ----------
[    0.149937] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283572K/16703460K available (12300K kernel code, 2481K rwdata, 4264K rodata, 2428K init, 2388K bss, 419888K reserved, 0K cma-reserved)
[    0.184567] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.57 BogoMIPS (lpj=11977148)
[    0.182215] smpboot: Total of 16 processors activated (95817.18 BogoMIPS)

32369646046669654260629186833287303739246608620066368972589539357530997996989557667267954393353160250932927336264106811749083025447507040836070163268219310625203590752194758450731929773912860439393700218651601017<212>

566904545713834907003867963750264184345305025738303624614211238451267926900919506273682782741297<96>
57098935422912231199336692552979615420828638640880823459046408660276474470255811437768873549369813542312520683042761<116>

Number: 42221_220
N = 32369646046669654260629186833287303739246608620066368972589539357530997996989557667267954393353160250932927336264106811749083025447507040836070163268219310625203590752194758450731929773912860439393700218651601017 (212 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=566904545713834907003867963750264184345305025738303624614211238451267926900919506273682782741297 (pp96)
r2=57098935422912231199336692552979615420828638640880823459046408660276474470255811437768873549369813542312520683042761 (pp116)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 41.36 hours.
Factorization parameters were as follows:
n: 32369646046669654260629186833287303739246608620066368972589539357530997996989557667267954393353160250932927336264106811749083025447507040836070163268219310625203590752194758450731929773912860439393700218651601017
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 38
c0: -11
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30973362
Relations: 7710274 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 20.90 hours.
Total relation processing time: 0.34 hours.
Pruned matrix : 6707089 x 6707314
Matrix solve time: 20.00 hours.
time per square root: 0.12 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: 41.36 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

31744423687834387246017472012425262474634962345028917372864572513763738828350815977816529847261214924321023494268203699777023303532997134418406554636270930068438914319<167>

4689727289069548137141749456676816045743740173718468306592171513<64>
6768927430347991169255616001635368944939216564457848324417768202404309963232504775697351246550267893063<103>

Number: 42221_221
N = 31744423687834387246017472012425262474634962345028917372864572513763738828350815977816529847261214924321023494268203699777023303532997134418406554636270930068438914319 (167 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=4689727289069548137141749456676816045743740173718468306592171513 (pp64)
r2=6768927430347991169255616001635368944939216564457848324417768202404309963232504775697351246550267893063 (pp103)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 76.22 hours.
Factorization parameters were as follows:
n: 31744423687834387246017472012425262474634962345028917372864572513763738828350815977816529847261214924321023494268203699777023303532997134418406554636270930068438914319
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 380
c0: -11
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 7445878 relations
Pruned matrix : 6539589 x 6539814
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 37.09 hours.
Total relation processing time: 0.41 hours.
Matrix solve time: 38.51 hours.
time per square root: 0.21 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 76.22 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 8, speed: 3.50GHz

GGNFS; NFS_factory, Msieve

124247154793897971466715430730265034174634746731989884937102800258519813084555114345733165765867120160257624439957721801060798468232081585943394123641996740706218651536244382856435749024175749892579497<201>

4893639960746777647000973684318768519<37>

25389516962939310257438780812531213651674875780529613391846709977243680755971151199413293846563723083936688810185404594802091107185318964692645271121637791367261263<164>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3104192630
Step 1 took 18553ms
Step 2 took 7188ms
********** Factor found in step 2: 4893639960746777647000973684318768519
Found probable prime factor of 37 digits: 4893639960746777647000973684318768519
Composite cofactor 25389516962939310257438780812531213651674875780529613391846709977243680755971151199413293846563723083936688810185404594802091107185318964692645271121637791367261263 has 164 digits

6486587768682830167633848251245183389097635235187015137178598443967725047088170392027500949463271655043929715848749023704728652998887684715936131229227376227674818281268237451910879887320881200542581<199>

232733381935175077559777458224699339425863547396060654614149003138677260302463163278730477203884867922534927294051982675137682049280050118811<141>

423920247578481892846187554476636510787<39>
549002750551772836749702518401232988561687276194380337683618159255627388341685486520753854578042353353<102>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3319246457
Step 1 took 10333ms
Step 2 took 4956ms
********** Factor found in step 2: 423920247578481892846187554476636510787
Found probable prime factor of 39 digits: 423920247578481892846187554476636510787
Probable prime cofactor 549002750551772836749702518401232988561687276194380337683618159255627388341685486520753854578042353353 has 102 digits

17612239195050022095709393285753165476522633568824462830877236435439372962291528111068869357226396149904131668661963618399485396912715381044869922889248103347791613297<167>

791863107984720231521401160289156699662129<42>

22241520052465769591987588546145228956643929114119610771647301926291218362013406914308775273983568809837311456023350484105793<125>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3094200810
Step 1 took 68439ms
Step 2 took 25644ms
********** Factor found in step 2: 791863107984720231521401160289156699662129
Found probable prime factor of 42 digits: 791863107984720231521401160289156699662129
Composite cofactor 22241520052465769591987588546145228956643929114119610771647301926291218362013406914308775273983568809837311456023350484105793 has 125 digits

22241520052465769591987588546145228956643929114119610771647301926291218362013406914308775273983568809837311456023350484105793<125>

10138282780639883714940190904595517498421632268471565583<56>
2193815317021763215904203657781349604125328327494397847356885970301871<70>

P70 = 2193815317021763215904203657781349604125328327494397847356885970301871
P56 = 10138282780639883714940190904595517498421632268471565583

ggnfs-lasieve4I13e driven by yafu 1.34.

Xeon E3-1230 running 64-bit Linux

67631959757035417943517954391717944201721136273291456975176146150450939698377950223789614972359616706816054545855150839084634487471592172053408515893728342925305145872365910580837132174668869559705291<200>

600959410291714128833136960280023547779479<42>
112539979570676688204547747131059794891977453375557435644527169285730216120172511014999233664591714845366135657338835015692239724436494526568315331150337147629<159>

600959410291714128833136960280023547779479 * 112539979570676688204547747131059794891977453375557435644527169285730216120172511014999233664591714845366135657338835015692239724436494526568315331150337147629

sigma: 390518697
B1: 43e6

gmp-ecm 7.0.6

32668302228826848864083441547813973422188832326539413245574926699678665038187363866680573518915523705729309137904042872795791646429073489760567074333243596108129726750823<170>

259390410661725238253141476648789035107669779254188287872242824642711704337020427780731902634779794671572668447714580730362085025900323038817026342528687903490686856245412873629101862115447293530513<198>

186165206674222659593728022014345727929<39>
1393334529559232062031721349413795091520053386741265695985371205204553942665196145484387292139336048787930067098574698940592931574290652858489155637183956716697<160>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3743234167
Step 1 took 18133ms
Step 2 took 7104ms
********** Factor found in step 2: 186165206674222659593728022014345727929
Found probable prime factor of 39 digits: 186165206674222659593728022014345727929
Probable prime cofactor 1393334529559232062031721349413795091520053386741265695985371205204553942665196145484387292139336048787930067098574698940592931574290652858489155637183956716697 has 160 digits

1835748792270531400966183574879227053140096618357487922705314009661835748792270531400966183574879227053140096618357487922705314009661835748792270531400966183574879227053140096618357487922705314009661835748792270531400966183574879227<232>

438534775571727592337993371927723681481297107637177<51>
12890242178276775160659464499916526383327309333763636127431<59>
324749234435671957054109182696431817459309033420081517870420784567514533178157332847051015739579402479130018800656408057621<123>

N=1835748792270531400966183574879227053140096618357487922705314009661835748792270531400966183574879227053140096618357487922705314009661835748792270531400966183574879227053140096618357487922705314009661835748792270531400966183574879227
  ( 232 digits)
SNFS difficulty: 235 digits.
Divisors found:
p51 factor: 438534775571727592337993371927723681481297107637177
p59 factor: 12890242178276775160659464499916526383327309333763636127431
p123 factor: 324749234435671957054109182696431817459309033420081517870420784567514533178157332847051015739579402479130018800656408057621

Version: Msieve v. 1.53 (SVN unknown)
Total time:
Scaled time: 70.29 units (timescale=1.411).
Factorization parameters were as follows:
n: 1835748792270531400966183574879227053140096618357487922705314009661835748792270531400966183574879227053140096618357487922705314009661835748792270531400966183574879227053140096618357487922705314009661835748792270531400966183574879227
m: 1000000000000000000000000000000000000000
deg: 6
c6: 19
c0: -550
skew: 1.75
# Murphy_E = 6.484e-13
type: snfs
lss: 1
rlim: 58000000
alim: 58000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.7
alambda: 2.7
#qintsize: 1600000
Factor base limits: 58000000/58000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 60/60
Sieved rational special-q in [29000000, 64700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 7977950 x 7978175
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,235.000,6,0,0,0,0,0,0,0,0,58000000,58000000,30,30,60,60,2.7,2.7,100000
total time:

147283721896860852889801582858159225563586006697610976637197131858813979225165919957576086673834732858141784070203483701874026449753402476839344040162255499816418592430399623759856527050612849504756547178096212936293627618612523<228>

86993544311519525335751089369<29>
1693041972970376067177657511773085708094016773158186852276706206123869365710044615038094113946723033740646445000553780820980244099889195013621164001794085800374303971480686549124296858324786830479267<199>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=363531844
Step 1 took 20738ms
Step 2 took 8188ms
********** Factor found in step 2: 86993544311519525335751089369
Found probable prime factor of 29 digits: 86993544311519525335751089369
Probable prime cofactor 1693041972970376067177657511773085708094016773158186852276706206123869365710044615038094113946723033740646445000553780820980244099889195013621164001794085800374303971480686549124296858324786830479267 has 199 digits

6800285110901018092158537552158634187789157518046256613053576762065719029040975475845476763515253486890929332331901873317488669024933961178603940836803715675784596316285555424918499477720207995667860474613372474342792708877467989<229>

520324839892965894171870223152672578022401654873983417055653985953228465695825410531848528893111188037030861602753044204977260366756988212492613270027874760166192301572171088667857635454145887391489848989544907600646468012393754289<231>

2089738856660422880623770248972508769885538682625509180606646591673159808791384924370911964759921345645828373555723611705489278642747161491596636871998079927745023872780775465025548389923670738059198306899412004723133109652306639<229>

47992206228654342855277580439068755949811397070650538332243363620489714419251226100521973954889913376827233758603566169809843220091767008569406563601724706457271580254064268420999991044178029307694266239573448173<212>