43117744610281923714759535655058043117744610281923714759535655058043117744610281923714759535655058043<101>

4538946310673361934203419529586170464160589<43>
9499505316661328483693123081125976474462217351123397421287<58>

SNFS difficulty: 103 digits.
Divisors found:
 r1=4538946310673361934203419529586170464160589
 r2=9499505316661328483693123081125976474462217351123397421287
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.944).
Factorization parameters were as follows:
n: 43117744610281923714759535655058043117744610281923714759535655058043117744610281923714759535655058043
Y1: 1
Y0: -100000000000000000000
c5: 2600
c0: -71
skew: 0.49
type: snfs
Factor base limits: 450000/500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [225000, 305001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 43400 x 43627
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,103,5,0,0,0,0,0,0,0,0,450000,500000,25,25,44,44,2.2,2.2,20000
total time: 0.30 hours.

Msieve-1.38

Opteron-2.8GHz; Linux x86_64

147835498223013253412349061166493597442944842892249770825188005060303286665934263969459601<90>

9671736314603461057887965599847505751<37>
15285311076956761976885931758180371769621907771691351<53>

Fri Sep 26 23:47:52 2008  Msieve v. 1.38
Fri Sep 26 23:47:52 2008  random seeds: 7df286b6 f127304e
Fri Sep 26 23:47:52 2008  factoring 147835498223013253412349061166493597442944842892249770825188005060303286665934263969459601 (90 digits)
Fri Sep 26 23:47:52 2008  no P-1/P+1/ECM available, skipping
Fri Sep 26 23:47:52 2008  commencing quadratic sieve (90-digit input)
Fri Sep 26 23:47:52 2008  using multiplier of 1
Fri Sep 26 23:47:52 2008  using 64kb Opteron sieve core
Fri Sep 26 23:47:52 2008  sieve interval: 18 blocks of size 65536
Fri Sep 26 23:47:52 2008  processing polynomials in batches of 6
Fri Sep 26 23:47:52 2008  using a sieve bound of 1575281 (59491 primes)
Fri Sep 26 23:47:52 2008  using large prime bound of 126022480 (26 bits)
Fri Sep 26 23:47:52 2008  using double large prime bound of 380896014563600 (42-49 bits)
Fri Sep 26 23:47:52 2008  using trial factoring cutoff of 49 bits
Fri Sep 26 23:47:52 2008  polynomial 'A' values have 11 factors
Fri Sep 26 23:47:53 2008  restarting with 760 full and 30262 partial relations
Sat Sep 27 01:12:36 2008  59841 relations (15780 full + 44061 combined from 636896 partial), need 59587
Sat Sep 27 01:12:36 2008  begin with 652676 relations
Sat Sep 27 01:12:37 2008  reduce to 147025 relations in 10 passes
Sat Sep 27 01:12:37 2008  attempting to read 147025 relations
Sat Sep 27 01:12:38 2008  failed to read relation 88569
Sat Sep 27 01:12:38 2008  recovered 147024 relations
Sat Sep 27 01:12:38 2008  recovered 124630 polynomials
Sat Sep 27 01:12:38 2008  attempting to build 59840 cycles
Sat Sep 27 01:12:38 2008  found 59840 cycles in 5 passes
Sat Sep 27 01:12:38 2008  distribution of cycle lengths:
Sat Sep 27 01:12:38 2008     length 1 : 15780
Sat Sep 27 01:12:38 2008     length 2 : 11165
Sat Sep 27 01:12:38 2008     length 3 : 10262
Sat Sep 27 01:12:38 2008     length 4 : 8151
Sat Sep 27 01:12:38 2008     length 5 : 5865
Sat Sep 27 01:12:38 2008     length 6 : 3768
Sat Sep 27 01:12:38 2008     length 7 : 2170
Sat Sep 27 01:12:38 2008     length 9+: 2679
Sat Sep 27 01:12:38 2008  largest cycle: 17 relations
Sat Sep 27 01:12:39 2008  matrix is 59491 x 59840 (15.7 MB) with weight 3627865 (60.63/col)
Sat Sep 27 01:12:39 2008  sparse part has weight 3627865 (60.63/col)
Sat Sep 27 01:12:39 2008  filtering completed in 3 passes
Sat Sep 27 01:12:39 2008  matrix is 55644 x 55708 (14.7 MB) with weight 3402133 (61.07/col)
Sat Sep 27 01:12:39 2008  sparse part has weight 3402133 (61.07/col)
Sat Sep 27 01:12:40 2008  saving the first 48 matrix rows for later
Sat Sep 27 01:12:40 2008  matrix is 55596 x 55708 (11.1 MB) with weight 2851124 (51.18/col)
Sat Sep 27 01:12:40 2008  sparse part has weight 2355787 (42.29/col)
Sat Sep 27 01:12:40 2008  matrix includes 64 packed rows
Sat Sep 27 01:12:40 2008  using block size 10922 for processor cache size 256 kB
Sat Sep 27 01:12:40 2008  commencing Lanczos iteration
Sat Sep 27 01:12:40 2008  memory use: 9.3 MB
Sat Sep 27 01:13:00 2008  lanczos halted after 881 iterations (dim = 55592)
Sat Sep 27 01:13:00 2008  recovered 14 nontrivial dependencies
Sat Sep 27 01:13:00 2008  prp37 factor: 9671736314603461057887965599847505751
Sat Sep 27 01:13:00 2008  prp53 factor: 15285311076956761976885931758180371769621907771691351
Sat Sep 27 01:13:00 2008  elapsed time 01:25:08

msieve 1.38

One processor of an AMD Athlon 64 X2 3600+, 3 GB RAM, running Ubuntu Linux

110127167228527002546055393117983893478226800123850706529312675171025372875763424819359678293130563804503947<108>

4769177979227823799073881807117328228690591<43>
23091435821474135828457919814168101536665195947355131326279552917<65>

SNFS difficulty: 113 digits.
Divisors found:
 r1=4769177979227823799073881807117328228690591
 r2=23091435821474135828457919814168101536665195947355131326279552917
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.951).
Factorization parameters were as follows:
n: 110127167228527002546055393117983893478226800123850706529312675171025372875763424819359678293130563804503947
Y1: 1
Y0: -10000000000000000000000
c5: 2600
c0: -71
skew: 0.49
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 400001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 99584 x 99802
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,113,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 0.65 hours.

Msieve-1.38

Opteron-2.6GHz; Linux x86_64

68445756381131363080887663085460098626256994430630041422322275180521774617167939449170434442331404815119937907<110>

222364605027963289594960585610198951220800558531666759<54>
307808683726998816731583533019641595302396302718066515573<57>

SNFS difficulty: 122 digits.
Divisors found:
 r1=222364605027963289594960585610198951220800558531666759
 r2=307808683726998816731583533019641595302396302718066515573
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.744).
Factorization parameters were as follows:
n: 68445756381131363080887663085460098626256994430630041422322275180521774617167939449170434442331404815119937907
Y1: 1
Y0: -1000000000000000000000000000000
c4: 260
c0: -71
skew: 0.77
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [500000, 725001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 91856 x 92076
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,122,4,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 1.20 hours.

Msieve-1.38

Opteron-2.6GHz; Linux x86_64

212480661907664999835916436228413132121070297399683627848151251731890808162658241713314211957<93>

82711241811099317326869797485718892733761469<44>
2568945372540053678056380379294551958469473628953<49>

Sat Sep 27 00:44:53 2008
Sat Sep 27 00:44:53 2008
Sat Sep 27 00:44:53 2008  Msieve v. 1.38
Sat Sep 27 00:44:53 2008  random seeds: 5731128c 633662a3
Sat Sep 27 00:44:53 2008  factoring 212480661907664999835916436228413132121070297399683627848151251731890808162658241713314211957 (93 digits)
Sat Sep 27 00:44:55 2008  no P-1/P+1/ECM available, skipping
Sat Sep 27 00:44:55 2008  commencing quadratic sieve (93-digit input)
Sat Sep 27 00:44:55 2008  using multiplier of 37
Sat Sep 27 00:44:55 2008  using 64kb Athlon XP sieve core
Sat Sep 27 00:44:55 2008  sieve interval: 18 blocks of size 65536
Sat Sep 27 00:44:55 2008  processing polynomials in batches of 6
Sat Sep 27 00:44:55 2008  using a sieve bound of 1883627 (70588 primes)
Sat Sep 27 00:44:55 2008  using large prime bound of 220384359 (27 bits)
Sat Sep 27 00:44:55 2008  using double large prime bound of 1041658353184527 (42-50 bits)
Sat Sep 27 00:44:55 2008  using trial factoring cutoff of 50 bits
Sat Sep 27 00:44:55 2008  polynomial 'A' values have 12 factors
Sat Sep 27 11:40:31 2008
Sat Sep 27 11:40:31 2008
Sat Sep 27 11:40:31 2008  Msieve v. 1.38
Sat Sep 27 11:40:31 2008  random seeds: 367b5676 c75d7466
Sat Sep 27 11:40:31 2008  factoring 212480661907664999835916436228413132121070297399683627848151251731890808162658241713314211957 (93 digits)
Sat Sep 27 11:40:32 2008  no P-1/P+1/ECM available, skipping
Sat Sep 27 11:40:32 2008  commencing quadratic sieve (93-digit input)
Sat Sep 27 11:40:33 2008  using multiplier of 37
Sat Sep 27 11:40:33 2008  using 64kb Athlon XP sieve core
Sat Sep 27 11:40:33 2008  sieve interval: 18 blocks of size 65536
Sat Sep 27 11:40:33 2008  processing polynomials in batches of 6
Sat Sep 27 11:40:33 2008  using a sieve bound of 1883627 (70588 primes)
Sat Sep 27 11:40:33 2008  using large prime bound of 220384359 (27 bits)
Sat Sep 27 11:40:33 2008  using double large prime bound of 1041658353184527 (42-50 bits)
Sat Sep 27 11:40:33 2008  using trial factoring cutoff of 50 bits
Sat Sep 27 11:40:33 2008  polynomial 'A' values have 12 factors
Sat Sep 27 11:40:37 2008  restarting with 12109 full and 628657 partial relations
Sat Sep 27 14:00:31 2008  71068 relations (17856 full + 53212 combined from 924337 partial), need 70684
Sat Sep 27 14:00:32 2008  begin with 942193 relations
Sat Sep 27 14:00:34 2008  reduce to 180710 relations in 10 passes
Sat Sep 27 14:00:34 2008  attempting to read 180710 relations
Sat Sep 27 14:00:39 2008  recovered 180710 relations
Sat Sep 27 14:00:39 2008  recovered 163046 polynomials
Sat Sep 27 14:00:40 2008  attempting to build 71068 cycles
Sat Sep 27 14:00:40 2008  found 71068 cycles in 6 passes
Sat Sep 27 14:00:40 2008  distribution of cycle lengths:
Sat Sep 27 14:00:40 2008     length 1 : 17856
Sat Sep 27 14:00:40 2008     length 2 : 13079
Sat Sep 27 14:00:40 2008     length 3 : 12068
Sat Sep 27 14:00:40 2008     length 4 : 9612
Sat Sep 27 14:00:40 2008     length 5 : 7147
Sat Sep 27 14:00:40 2008     length 6 : 4619
Sat Sep 27 14:00:40 2008     length 7 : 2916
Sat Sep 27 14:00:41 2008     length 9+: 3771
Sat Sep 27 14:00:41 2008  largest cycle: 18 relations
Sat Sep 27 14:00:41 2008  matrix is 70588 x 71068 (17.9 MB) with weight 4411696 (62.08/col)
Sat Sep 27 14:00:41 2008  sparse part has weight 4411696 (62.08/col)
Sat Sep 27 14:00:44 2008  filtering completed in 3 passes
Sat Sep 27 14:00:44 2008  matrix is 66723 x 66786 (16.9 MB) with weight 4156271 (62.23/col)
Sat Sep 27 14:00:44 2008  sparse part has weight 4156271 (62.23/col)
Sat Sep 27 14:00:46 2008  saving the first 48 matrix rows for later
Sat Sep 27 14:00:46 2008  matrix is 66675 x 66786 (10.3 MB) with weight 3184238 (47.68/col)
Sat Sep 27 14:00:46 2008  sparse part has weight 2309093 (34.57/col)
Sat Sep 27 14:00:46 2008  matrix includes 64 packed rows
Sat Sep 27 14:00:46 2008  using block size 10922 for processor cache size 256 kB
Sat Sep 27 14:00:47 2008  commencing Lanczos iteration
Sat Sep 27 14:00:47 2008  memory use: 10.3 MB
Sat Sep 27 14:25:49 2008
Sat Sep 27 14:25:49 2008
Sat Sep 27 14:25:49 2008  Msieve v. 1.38
Sat Sep 27 14:25:49 2008  random seeds: 6394e89c b1852f11
Sat Sep 27 14:25:49 2008  factoring 212480661907664999835916436228413132121070297399683627848151251731890808162658241713314211957 (93 digits)
Sat Sep 27 14:25:51 2008  no P-1/P+1/ECM available, skipping
Sat Sep 27 14:25:51 2008  commencing quadratic sieve (93-digit input)
Sat Sep 27 14:25:51 2008  using multiplier of 37
Sat Sep 27 14:25:51 2008  using 64kb Athlon XP sieve core
Sat Sep 27 14:25:51 2008  sieve interval: 18 blocks of size 65536
Sat Sep 27 14:25:51 2008  processing polynomials in batches of 6
Sat Sep 27 14:25:51 2008  using a sieve bound of 1883627 (70588 primes)
Sat Sep 27 14:25:51 2008  using large prime bound of 220384359 (27 bits)
Sat Sep 27 14:25:51 2008  using double large prime bound of 1041658353184527 (42-50 bits)
Sat Sep 27 14:25:51 2008  using trial factoring cutoff of 50 bits
Sat Sep 27 14:25:51 2008  polynomial 'A' values have 12 factors
Sat Sep 27 14:25:54 2008  restarting with 17856 full and 924337 partial relations
Sat Sep 27 14:25:54 2008  71068 relations (17856 full + 53212 combined from 924337 partial), need 70684
Sat Sep 27 14:25:55 2008  begin with 942193 relations
Sat Sep 27 14:25:58 2008  reduce to 180710 relations in 10 passes
Sat Sep 27 14:25:58 2008  attempting to read 180710 relations
Sat Sep 27 14:26:03 2008  recovered 180710 relations
Sat Sep 27 14:26:03 2008  recovered 163046 polynomials
Sat Sep 27 14:26:03 2008  attempting to build 71068 cycles
Sat Sep 27 14:26:04 2008  found 71068 cycles in 6 passes
Sat Sep 27 14:26:04 2008  distribution of cycle lengths:
Sat Sep 27 14:26:04 2008     length 1 : 17856
Sat Sep 27 14:26:04 2008     length 2 : 13079
Sat Sep 27 14:26:04 2008     length 3 : 12068
Sat Sep 27 14:26:04 2008     length 4 : 9612
Sat Sep 27 14:26:04 2008     length 5 : 7147
Sat Sep 27 14:26:04 2008     length 6 : 4619
Sat Sep 27 14:26:04 2008     length 7 : 2916
Sat Sep 27 14:26:04 2008     length 9+: 3771
Sat Sep 27 14:26:04 2008  largest cycle: 18 relations
Sat Sep 27 14:26:04 2008  matrix is 70588 x 71068 (17.9 MB) with weight 4411696 (62.08/col)
Sat Sep 27 14:26:04 2008  sparse part has weight 4411696 (62.08/col)
Sat Sep 27 14:26:08 2008  filtering completed in 3 passes
Sat Sep 27 14:26:08 2008  matrix is 66723 x 66786 (16.9 MB) with weight 4156271 (62.23/col)
Sat Sep 27 14:26:08 2008  sparse part has weight 4156271 (62.23/col)
Sat Sep 27 14:26:09 2008  saving the first 48 matrix rows for later
Sat Sep 27 14:26:09 2008  matrix is 66675 x 66786 (10.3 MB) with weight 3184238 (47.68/col)
Sat Sep 27 14:26:09 2008  sparse part has weight 2309093 (34.57/col)
Sat Sep 27 14:26:09 2008  matrix includes 64 packed rows
Sat Sep 27 14:26:09 2008  using block size 10922 for processor cache size 256 kB
Sat Sep 27 14:26:10 2008  commencing Lanczos iteration
Sat Sep 27 14:26:10 2008  memory use: 10.3 MB
Sat Sep 27 14:27:52 2008  lanczos halted after 1056 iterations (dim = 66674)
Sat Sep 27 14:27:53 2008  recovered 17 nontrivial dependencies
Sat Sep 27 14:27:54 2008  prp44 factor: 82711241811099317326869797485718892733761469
Sat Sep 27 14:27:54 2008  prp49 factor: 2568945372540053678056380379294551958469473628953
Sat Sep 27 14:27:54 2008  elapsed time 00:02:05

msieve 1.38

Athlon XP 1ghz with 512mb RAM

1760840863661527731242588303029745571382012232491529812649018974750700959809037491808401556805124013624565019743<112>

15699580490746648722017623746645943623109<41>
112158465934766181512722569942161506774982710985048339315616976232886227<72>

Number: 28881_125
N=1760840863661527731242588303029745571382012232491529812649018974750700959809037491808401556805124013624565019743
  ( 112 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=15699580490746648722017623746645943623109 (pp41)
 r2=112158465934766181512722569942161506774982710985048339315616976232886227 (pp72)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 3.95 hours.
Scaled time: 1.87 units (timescale=0.473).
Factorization parameters were as follows:
name: 28881_125
n: 1760840863661527731242588303029745571382012232491529812649018974750700959809037491808401556805124013624565019743
m: 10000000000000000000000000
c5: 26
c0: -71
skew: 1.22
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 750001)
Primes: RFBsize:49098, AFBsize:64324, largePrimes:2208963 encountered
Relations: rels:2289393, finalFF:185176
Max relations in full relation-set: 28
Initial matrix: 113488 x 185176 with sparse part having weight 18384705.
Pruned matrix : 101189 x 101820 with weight 7567708.
Total sieving time: 3.68 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,126,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 3.95 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

2147547415889293181059921809418318585188055202701289383214912889185222223648914042877205066401069946969<103>

16283299902589791600249813240195129893581187<44>
131886498973573202679378662889306990910980844571318172595187<60>

Number: 28881_126
N=2147547415889293181059921809418318585188055202701289383214912889185222223648914042877205066401069946969
  ( 103 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=16283299902589791600249813240195129893581187
 r2=131886498973573202679378662889306990910980844571318172595187
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.090).
Factorization parameters were as follows:

n: 2147547415889293181059921809418318585188055202701289383214912889185222223648914042877205066401069946969
Y1: 1
Y0: -10000000000000000000000000
c5: 260
c0: -71
skew: 0.77
type: snfs

Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 800001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 131945 x 132185
Total sieving time: 1.22 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.

329341962092740163125607224242608489675762838319697309402839687733151941914211485674257998892904327426711913185458792353693<123>

113230714718788553945893724491447<33>
2908592098095199284156292274582063675219090371694461454439845943319274746957258978219884619<91>

Number: 28881_127
N=329341962092740163125607224242608489675762838319697309402839687733151941914211485674257998892904327426711913185458792353693
  ( 123 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=113230714718788553945893724491447 (pp33)
 r2=2908592098095199284156292274582063675219090371694461454439845943319274746957258978219884619 (pp91)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 5.33 hours.
Scaled time: 2.52 units (timescale=0.473).
Factorization parameters were as follows:
name: 28881_127
n: 329341962092740163125607224242608489675762838319697309402839687733151941914211485674257998892904327426711913185458792353693
m: 10000000000000000000000000
c5: 2600
c0: -71
skew: 0.49
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [400000, 950001)
Primes: RFBsize:63951, AFBsize:63854, largePrimes:1453713 encountered
Relations: rels:1433520, finalFF:156420
Max relations in full relation-set: 28
Initial matrix: 127872 x 156420 with sparse part having weight 10645432.
Pruned matrix : 118915 x 119618 with weight 6495540.
Total sieving time: 5.06 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,128,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 5.33 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

19288071349933233074261710240111886312422696827531398603739748930210286351177246600319447391698166441034580833<110>

1965547559984367689019258871317555515695451<43>
9813077914068196935358138454323876101771621519472202609560133578483<67>

Number: n
N=19288071349933233074261710240111886312422696827531398603739748930210286351177246600319447391698166441034580833
  ( 110 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=1965547559984367689019258871317555515695451 (pp43)
 r2=9813077914068196935358138454323876101771621519472202609560133578483 (pp67)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 3.06 hours.
Scaled time: 5.58 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_2_8_132_1
n: 19288071349933233074261710240111886312422696827531398603739748930210286351177246600319447391698166441034580833
type: snfs
skew: 0.31
deg: 5
c5: 26000
c0: -71
m: 100000000000000000000000000
rlim: 900000
alim: 900000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 900000/900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved algebraic special-q in [100000, 540001)
Primes: RFBsize:71274, AFBsize:71446, largePrimes:6627165 encountered
Relations: rels:5704800, finalFF:179357
Max relations in full relation-set: 48
Initial matrix: 142787 x 179357 with sparse part having weight 22618482.
Pruned matrix : 132920 x 133697 with weight 12851718.
Total sieving time: 2.80 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.13 hours.
Total square root time: 0.02 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,134,5,0,0,0,0,0,0,0,0,900000,900000,28,28,52,52,2.5,2.5,75000
total time: 3.06 hours.
 --------- CPU info (if available) ----------

603973225214148590339598242124486865273569787328277014085649480739015184344731316431305397368734430023102507<108>

2151771244658802648860981132723919893684815718567<49>
280686539850995217773316080340193459612811030104024615577821<60>

Number: 28881_134
N=603973225214148590339598242124486865273569787328277014085649480739015184344731316431305397368734430023102507
  ( 108 digits)
Divisors found:
 r1=2151771244658802648860981132723919893684815718567 (pp49)
 r2=280686539850995217773316080340193459612811030104024615577821 (pp60)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 19.00 hours.
Scaled time: 8.97 units (timescale=0.472).
Factorization parameters were as follows:
name: 28881_134
n: 603973225214148590339598242124486865273569787328277014085649480739015184344731316431305397368734430023102507
skew: 9031.63
# norm 8.65e+14
c5: 132480
c4: -9655136832
c3: 3073901148074
c2: 788244391354358951
c1: 755654046763763982904
c0: -3914555308130336395968572
# alpha -6.44
Y1: 184659791063
Y0: -340233371806463795427
# Murphy_E 1.39e-09
# M 528174875071408094852850298995715238680787298333444263874278964954547222542074420587388804359136793122955655
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, 2300001)
Primes: RFBsize:183072, AFBsize:182771, largePrimes:4380791 encountered
Relations: rels:4391242, finalFF:413456
Max relations in full relation-set: 28
Initial matrix: 365923 x 413456 with sparse part having weight 29385875.
Pruned matrix : 328573 x 330466 with weight 19750900.
Total sieving time: 15.57 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 2.92 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
gnfs,107,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 19.00 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

3513181185563527774399718945505154917778048022484359587606577756158201251232991473779507343899901360682097639412488007891145432188847<133>

92372285975211434631537057344098560567670446839<47>
38032848797379633248033194711881967676062087393154102007966129723213945990007458206473<86>

Number: 28881_136
N=3513181185563527774399718945505154917778048022484359587606577756158201251232991473779507343899901360682097639412488007891145432188847
  ( 133 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=92372285975211434631537057344098560567670446839 (pp47)
 r2=38032848797379633248033194711881967676062087393154102007966129723213945990007458206473 (pp86)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 12.79 hours.
Scaled time: 10.05 units (timescale=0.786).
Factorization parameters were as follows:
name: 28881_136
n: 3513181185563527774399718945505154917778048022484359587606577756158201251232991473779507343899901360682097639412488007891145432188847
m: 1000000000000000000000000000
c5: 260
c0: -71
skew: 0.77
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 2125001)
Primes: RFBsize:78498, AFBsize:63419, largePrimes:1663569 encountered
Relations: rels:1683191, finalFF:159116
Max relations in full relation-set: 28
Initial matrix: 141984 x 159116 with sparse part having weight 17826188.
Pruned matrix : 137921 x 138694 with weight 14425970.
Total sieving time: 12.53 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,137,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 12.79 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

575991657976118306505152747026865159701331253253282035051336670437456519531720961945340575972665515620572835513<111>

35541916653799466686224456599258869<35>
16205981899812491349119706433005180738013612088106238598294885611831440295477<77>

GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 575991657976118306505152747026865159701331253253282035051336670437456519531720961945340575972665515620572835513 (111 digits)
Using B1=962000, B2=871244232, polynomial Dickson(3), sigma=110969026
Step 1 took 7547ms
Step 2 took 3375ms
********** Factor found in step 2: 35541916653799466686224456599258869
Found probable prime factor of 35 digits: 35541916653799466686224456599258869
Probable prime cofactor 16205981899812491349119706433005180738013612088106238598294885611831440295477 has 77 digits

1117338122416424182806830717687763299654183851112116715421285892875637258757030098080799876577112016154990268414699184643992438199383831<136>

1061457857440639884285723044526980992447605343813900560013<58>
1052644826720225490937098572168106297601845969296447812929710800726211325127987<79>

SNFS difficulty: 141 digits.
Divisors found:
 r1=1061457857440639884285723044526980992447605343813900560013
 r2=1052644826720225490937098572168106297601845969296447812929710800726211325127987
Version: 
Total time: 5.70 hours.
Scaled time: 14.70 units (timescale=2.579).
Factorization parameters were as follows:
n: 1117338122416424182806830717687763299654183851112116715421285892875637258757030098080799876577112016154990268414699184643992438199383831
Y1: 1
Y0: -10000000000000000000000000000
c5: 26
c0: -71
skew: 1.22
type: snfs
lss: 1
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved rational special-q in [650000, 1950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 215541 x 215782
Total sieving time: 5.70 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,141,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 5.70 hours.

Msieve-1.38

Q6600/Windows XP

3176379459782413951612104998475795623034111084218794263647507738095092102518673699145472039926316940831767873865464076289<121>

318812637521068164983566579422495812535445874888122847<54>
9963154172558509622279112283921622547309975069751848442172384313887<67>

Number: 28881_142
N=3176379459782413951612104998475795623034111084218794263647507738095092102518673699145472039926316940831767873865464076289
  ( 121 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=318812637521068164983566579422495812535445874888122847 (pp54)
 r2=9963154172558509622279112283921622547309975069751848442172384313887 (pp67)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 17.38 hours.
Scaled time: 13.48 units (timescale=0.776).
Factorization parameters were as follows:
name: 28881_142
n: 3176379459782413951612104998475795623034111084218794263647507738095092102518673699145472039926316940831767873865464076289
m: 10000000000000000000000000000
c5: 2600
c0: -71
skew: 0.49
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [650000, 2550001)
Primes: RFBsize:100021, AFBsize:100034, largePrimes:2828558 encountered
Relations: rels:2813811, finalFF:228562
Max relations in full relation-set: 28
Initial matrix: 200122 x 228562 with sparse part having weight 25448559.
Pruned matrix : 192472 x 193536 with weight 20041376.
Total sieving time: 16.84 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.37 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,143,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 17.38 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

702978335147989415065882633006451840646443720183542402084529045134097378966611414274165384547692051817047065827290671468580902788162739<135>

17943666279248153726359854426579738150064948201372651529<56>
39176962177511276591329105438819030419134508058060721100657357913796416293078491<80>

Number: 28881_146
N=702978335147989415065882633006451840646443720183542402084529045134097378966611414274165384547692051817047065827290671468580902788162739
  ( 135 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=17943666279248153726359854426579738150064948201372651529 (pp56)
 r2=39176962177511276591329105438819030419134508058060721100657357913796416293078491 (pp80)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 28.94 hours.
Scaled time: 29.20 units (timescale=1.009).
Factorization parameters were as follows:
name: 28881_146
n: 702978335147989415065882633006451840646443720183542402084529045134097378966611414274165384547692051817047065827290671468580902788162739
m: 100000000000000000000000000000
c5: 260
c0: -71
skew: 0.77
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [750000, 4850001)
Primes: RFBsize:114155, AFBsize:113433, largePrimes:3262406 encountered
Relations: rels:3446743, finalFF:323228
Max relations in full relation-set: 28
Initial matrix: 227655 x 323228 with sparse part having weight 43074247.
Pruned matrix : 205449 x 206651 with weight 27908579.
Total sieving time: 28.49 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.33 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,147,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 28.94 hours.
 --------- CPU info (if available) ----------

Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

6607278037251613419745403617730917584902354733438686568219298506923381764817244660377<85>

278892062287133994385679444936173651725679<42>
23691165618220695016170882191532431070649463<44>

Fri Sep 26 20:08:09 2008  Msieve v. 1.36
Fri Sep 26 20:08:09 2008  random seeds: 3070926c edda5a26
Fri Sep 26 20:08:09 2008  factoring 6607278037251613419745403617730917584902354733438686568219298506923381764817244660377 (85 digits)
Fri Sep 26 20:08:09 2008  no P-1/P+1/ECM available, skipping
Fri Sep 26 20:08:09 2008  commencing quadratic sieve (85-digit input)
Fri Sep 26 20:08:09 2008  using multiplier of 17
Fri Sep 26 20:08:09 2008  using 64kb Opteron sieve core
Fri Sep 26 20:08:09 2008  sieve interval: 6 blocks of size 65536
Fri Sep 26 20:08:09 2008  processing polynomials in batches of 17
Fri Sep 26 20:08:09 2008  using a sieve bound of 1434229 (54704 primes)
Fri Sep 26 20:08:09 2008  using large prime bound of 116172549 (26 bits)
Fri Sep 26 20:08:09 2008  using double large prime bound of 328992642862119 (41-49 bits)
Fri Sep 26 20:08:09 2008  using trial factoring cutoff of 49 bits
Fri Sep 26 20:08:09 2008  polynomial 'A' values have 11 factors
Fri Sep 26 20:46:26 2008  54970 relations (16331 full + 38639 combined from 567574 partial), need 54800
Fri Sep 26 20:46:27 2008  begin with 583905 relations
Fri Sep 26 20:46:27 2008  reduce to 127831 relations in 10 passes
Fri Sep 26 20:46:27 2008  attempting to read 127831 relations
Fri Sep 26 20:46:28 2008  recovered 127831 relations
Fri Sep 26 20:46:28 2008  recovered 106406 polynomials
Fri Sep 26 20:46:29 2008  attempting to build 54970 cycles
Fri Sep 26 20:46:29 2008  found 54970 cycles in 5 passes
Fri Sep 26 20:46:29 2008  distribution of cycle lengths:
Fri Sep 26 20:46:29 2008     length 1 : 16331
Fri Sep 26 20:46:29 2008     length 2 : 11450
Fri Sep 26 20:46:29 2008     length 3 : 9750
Fri Sep 26 20:46:29 2008     length 4 : 6906
Fri Sep 26 20:46:29 2008     length 5 : 4543
Fri Sep 26 20:46:29 2008     length 6 : 2755
Fri Sep 26 20:46:29 2008     length 7 : 1559
Fri Sep 26 20:46:29 2008     length 9+: 1676
Fri Sep 26 20:46:29 2008  largest cycle: 18 relations
Fri Sep 26 20:46:29 2008  matrix is 54704 x 54970 (12.7 MB) with weight 2895459 (52.67/col)
Fri Sep 26 20:46:29 2008  sparse part has weight 2895459 (52.67/col)
Fri Sep 26 20:46:30 2008  filtering completed in 3 passes
Fri Sep 26 20:46:30 2008  matrix is 49166 x 49230 (11.5 MB) with weight 2617484 (53.17/col)
Fri Sep 26 20:46:30 2008  sparse part has weight 2617484 (53.17/col)
Fri Sep 26 20:46:30 2008  saving the first 48 matrix rows for later
Fri Sep 26 20:46:30 2008  matrix is 49118 x 49230 (7.0 MB) with weight 1976889 (40.16/col)
Fri Sep 26 20:46:30 2008  sparse part has weight 1351761 (27.46/col)
Fri Sep 26 20:46:30 2008  matrix includes 64 packed rows
Fri Sep 26 20:46:30 2008  using block size 19692 for processor cache size 1024 kB
Fri Sep 26 20:46:31 2008  commencing Lanczos iteration
Fri Sep 26 20:46:31 2008  memory use: 6.6 MB
Fri Sep 26 20:47:02 2008  lanczos halted after 778 iterations (dim = 49118)
Fri Sep 26 20:47:02 2008  recovered 18 nontrivial dependencies
Fri Sep 26 20:47:02 2008  prp42 factor: 278892062287133994385679444936173651725679
Fri Sep 26 20:47:02 2008  prp44 factor: 23691165618220695016170882191532431070649463
Fri Sep 26 20:47:02 2008  elapsed time 00:38:53

Msieve-1.36

Opteron-2.8GHz; Linux x86_64

6885761120564388500947561397500272791597190120780410367728327785360043793953985345335262886302990052218560958181187925191<121>

2745596514435287531823283642891597<34>
2507928999895546296791005056224527982607687054515900884400907699433831261610761528623203<88>

Number: 28881_151
N=6885761120564388500947561397500272791597190120780410367728327785360043793953985345335262886302990052218560958181187925191
  ( 121 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=2745596514435287531823283642891597 (pp34)
 r2=2507928999895546296791005056224527982607687054515900884400907699433831261610761528623203 (pp88)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 31.07 hours.
Scaled time: 31.35 units (timescale=1.009).
Factorization parameters were as follows:
name: 28881_151
n: 6885761120564388500947561397500272791597190120780410367728327785360043793953985345335262886302990052218560958181187925191
m: 1000000000000000000000000000000
c5: 260
c0: -71
skew: 0.77
type: snfs
 Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 2500001)
Primes: RFBsize:176302, AFBsize:175109, largePrimes:6378422 encountered
Relations: rels:6891323, finalFF:940324
Max relations in full relation-set: 28
Initial matrix: 351478 x 940324 with sparse part having weight 106935468.
Pruned matrix : 239768 x 241589 with weight 53592392.
Total sieving time: 30.17 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.73 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 31.07 hours.
 --------- CPU info (if available) ----------

Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

227896685171648671109267995127880791600813825571543173727625987550571717872159185551505336201973631147175443328833813898063264945943<132>

63836161460698741419691880404514945920853927423<47>
3570024888040223758946915583946688879184055497902878240186964550332918034067683819241<85>

Number: 28881_155
N=227896685171648671109267995127880791600813825571543173727625987550571717872159185551505336201973631147175443328833813898063264945943
  ( 132 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=63836161460698741419691880404514945920853927423 (pp47)
 r2=3570024888040223758946915583946688879184055497902878240186964550332918034067683819241 (pp85)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 42.65 hours.
Scaled time: 33.26 units (timescale=0.780).
Factorization parameters were as follows:
name: 28881_155
n: 227896685171648671109267995127880791600813825571543173727625987550571717872159185551505336201973631147175443328833813898063264945943
m: 10000000000000000000000000000000
c5: 26
c0: -71
skew: 1.22
type: snfs
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1500000, 3000001)
Primes: RFBsize:216816, AFBsize:218152, largePrimes:5706068 encountered
Relations: rels:5661084, finalFF:528212
Max relations in full relation-set: 28
Initial matrix: 435034 x 528212 with sparse part having weight 46997049.
Pruned matrix : 392905 x 395144 with weight 32227067.
Total sieving time: 40.43 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.94 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 42.65 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

9629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629627<160>

1094998023968034643446213026625908789762145086429066485506433912988981<70>
8794198180133646807441422534325880565522933789319895295254625222992854439653169060283985967<91>

Number: 28881_160
N=9629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629627
  ( 160 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=1094998023968034643446213026625908789762145086429066485506433912988981 (pp70)
 r2=8794198180133646807441422534325880565522933789319895295254625222992854439653169060283985967 (pp91)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 66.55 hours.
Scaled time: 67.29 units (timescale=1.011).
Factorization parameters were as follows:
name: 28881_160
n: 9629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629627
m: 100000000000000000000000000000000
c5: 26
c0: -71
skew: 1.22
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 4500001)
Primes: RFBsize:283146, AFBsize:284453, largePrimes:6116457 encountered
Relations: rels:6399110, finalFF:847689
Max relations in full relation-set: 28
Initial matrix: 567665 x 847689 with sparse part having weight 74518698.
Pruned matrix : 396349 x 399251 with weight 60554454.
Total sieving time: 64.50 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.87 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 66.55 hours.
 --------- CPU info (if available) ----------

Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

15204678362573099415204678362573099415204678362573099415204678362573099415204678362573099415204678362573099415204678362573099415204678362573099415204678362573099<161>

632162252911445335796435973980354556377945502963326151746830745204115223<72>
24051860566725428718633081455487317525885368126175025927404218378326986147965349318982413<89>

Number: 28881_161
N=15204678362573099415204678362573099415204678362573099415204678362573099415204678362573099415204678362573099415204678362573099415204678362573099415204678362573099
  ( 161 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=632162252911445335796435973980354556377945502963326151746830745204115223 (pp72)
 r2=24051860566725428718633081455487317525885368126175025927404218378326986147965349318982413 (pp89)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 77.65 hours.
Scaled time: 78.28 units (timescale=1.008).
Factorization parameters were as follows:
name: 28881_161
n: 15204678362573099415204678362573099415204678362573099415204678362573099415204678362573099415204678362573099415204678362573099415204678362573099415204678362573099
m: 100000000000000000000000000000000
c5: 260
c0: -71
skew: 0.77
type: snfs
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2250000, 5150001)
Primes: RFBsize:315948, AFBsize:315212, largePrimes:5888530 encountered
Relations: rels:5992989, finalFF:725848
Max relations in full relation-set: 28
Initial matrix: 631227 x 725848 with sparse part having weight 54679237.
Pruned matrix : 563033 x 566253 with weight 40813096.
Total sieving time: 74.92 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 2.54 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,48,48,2.3,2.3,100000
total time: 77.65 hours.
 --------- CPU info (if available) ----------

Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

1799548437926203148669901839477649227727248534042853754366760014781214015519997862690162955340260348978122958853532607021741106026002505940413213696584643941<157>

34840843885409601679480678418650111005563801<44>
65612945889179070840638882215639321183998522259344767579<56>
787200458193689081759211506325782501478201241604278678679<57>

Number: 28881_162
N=1799548437926203148669901839477649227727248534042853754366760014781214015519997862690162955340260348978122958853532607021741106026002505940413213696584643941
  ( 157 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=34840843885409601679480678418650111005563801 (pp44)
 r2=65612945889179070840638882215639321183998522259344767579 (pp56)
 r3=787200458193689081759211506325782501478201241604278678679 (pp57)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 77.77 hours.
Scaled time: 78.40 units (timescale=1.008).
Factorization parameters were as follows:
name: 28881_162
n: 1799548437926203148669901839477649227727248534042853754366760014781214015519997862690162955340260348978122958853532607021741106026002505940413213696584643941
m: 100000000000000000000000000000000
c5: 2600
c0: -71
skew: 0.49
type: snfs
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2250000, 5150001)
Primes: RFBsize:315948, AFBsize:315767, largePrimes:5897191 encountered
Relations: rels:5994983, finalFF:717928
Max relations in full relation-set: 28
Initial matrix: 631782 x 717928 with sparse part having weight 56111003.
Pruned matrix : 571221 x 574443 with weight 42764962.
Total sieving time: 74.92 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 2.65 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,48,48,2.3,2.3,100000
total time: 77.77 hours.
 --------- CPU info (if available) ----------

Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

105982415945232243895233769180678939994479004894602568437992066771945436505597759901254384722787348132133665169458489655421436489909171<135>

82040906752589392506124571605912668180523<41>
1291824044130121762655087841332987925302619521194453123869004000921846867381372572710987124377<94>

Number: 28881_163
N=105982415945232243895233769180678939994479004894602568437992066771945436505597759901254384722787348132133665169458489655421436489909171
  ( 135 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=82040906752589392506124571605912668180523 (pp41)
 r2=1291824044130121762655087841332987925302619521194453123869004000921846867381372572710987124377 (pp94)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 92.11 hours.
Scaled time: 92.66 units (timescale=1.006).
Factorization parameters were as follows:
name: 28881_163
n: 105982415945232243895233769180678939994479004894602568437992066771945436505597759901254384722787348132133665169458489655421436489909171
m: 200000000000000000000000000000000
c5: 1625
c0: -142
skew: 0.61
type: snfs
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2500000, 5800001)
Primes: RFBsize:348513, AFBsize:347822, largePrimes:6128209 encountered
Relations: rels:6437711, finalFF:928519
Max relations in full relation-set: 28
Initial matrix: 696401 x 928519 with sparse part having weight 64868998.
Pruned matrix : 512907 x 516453 with weight 47758086.
Total sieving time: 89.49 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 2.41 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,164,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,48,48,2.5,2.5,100000
total time: 92.11 hours.
 --------- CPU info (if available) ----------

Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

1755589273872155261233718370285448343873266326860841413940094147862817828579285028494983879753180712516018684386238936660834341115171540569<139>

1787383004449952594789773835754260083<37>
982212133326409521576440542949381649398350348153586585505016074608770961266853317136037014383074679043<102>

GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 1755589273872155261233718370285448343873266326860841413940094147862817828579285028494983879753180712516018684386238936660834341115171540569 (139 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1501512258
Step 1 took 4703ms
Step 2 took 2604ms
********** Factor found in step 2: 1787383004449952594789773835754260083
Found probable prime factor of 37 digits: 1787383004449952594789773835754260083
Probable prime cofactor 982212133326409521576440542949381649398350348153586585505016074608770961266853317136037014383074679043 has 102 digits

Core 2 Quad Q6700

7340840264922971933894794829417861112201031590340036998496018396191265355575127755600652658160478266119929479034056755293239804822403937826381991<145>

1510502859597760806417065936942084544672808513<46>
4859865188787395072098314485948357294398599462740799180745466247719147971275211882335881557251224807<100>

Number: 28881_166
N=7340840264922971933894794829417861112201031590340036998496018396191265355575127755600652658160478266119929479034056755293239804822403937826381991
  ( 145 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=1510502859597760806417065936942084544672808513 (pp46)
 r2=4859865188787395072098314485948357294398599462740799180745466247719147971275211882335881557251224807 (pp100)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 134.13 hours.
Scaled time: 135.34 units (timescale=1.009).
Factorization parameters were as follows:
name: 28881_166
n: 7340840264922971933894794829417861112201031590340036998496018396191265355575127755600652658160478266119929479034056755293239804822403937826381991
m: 1000000000000000000000000000000000
c5: 260
c0: -71
skew: 0.77
type: snfs
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2750000, 7650001)
Primes: RFBsize:380800, AFBsize:380063, largePrimes:6291023 encountered
Relations: rels:6618048, finalFF:955138
Max relations in full relation-set: 28
Initial matrix: 760930 x 955138 with sparse part having weight 75716287.
Pruned matrix : 609006 x 612874 with weight 57216633.
Total sieving time: 130.33 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 3.57 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,48,48,2.6,2.6,100000
total time: 134.13 hours.
 --------- CPU info (if available) ----------

Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

10592597047379898181857972294175227389945639616830971048303006763410773656749525762983982387259612103870860289508693080736858983683550573934343464506965547427<158>

62177173667916090994125727316510673911399562654031399314878446246681393<71>
170361507648356832458459057572079293694991001668148898771440660882317084143196327486739<87>

SNFS difficulty: 168 digits.
Divisors found:
 r1=62177173667916090994125727316510673911399562654031399314878446246681393
 r2=170361507648356832458459057572079293694991001668148898771440660882317084143196327486739
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.951).
Factorization parameters were as follows:
n: 10592597047379898181857972294175227389945639616830971048303006763410773656749525762983982387259612103870860289508693080736858983683550573934343464506965547427
Y1: 1
Y0: -1000000000000000000000000000000000
c5: 2600
c0: -71
skew: 0.49
type: snfs
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [2750000, 4450001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1039542 x 1039790
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 3.00 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,54,54,2.6,2.6,100000
total time: 30.00 hours.

Msieve-1.38

Opteron-2.6GHz; Linux x86_64

992204366830701552260601889495933995632772966000609277532605334444861061300128325310454559138001358509582850301327815420242221382563071698277700080441812702933<159>

8352757623297097696332618845370352702448983<43>
118787640151714003352535632523216976307927450058745101074936089603900745826743578588056704612356256078974602954505651<117>

SNFS difficulty: 171 digits.
Divisors found:
 r1=8352757623297097696332618845370352702448983
 r2=118787640151714003352535632523216976307927450058745101074936089603900745826743578588056704612356256078974602954505651
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.943).
Factorization parameters were as follows:
n: 992204366830701552260601889495933995632772966000609277532605334444861061300128325310454559138001358509582850301327815420242221382563071698277700080441812702933
Y1: 1
Y0: -10000000000000000000000000000000000
c5: 26
c0: -71
skew: 1.22
type: snfs
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [3000000, 6100001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1163491 x 1163739
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 4.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,54,54,2.6,2.6,100000
total time: 30.00 hours.

Msieve-1.38

Opteron-2.6GHz; Linux x86_64

48661880015060933137981457416002802132480114106356745333892966732948461875636848914080280263954783190211344349331132472591262877557224150237206443500780963<155>

3669494174838085730319346360886510108147157739379354571402691886612341441<73>
13261195602581412992450307530343836667060648761360730528724076800274659175677939043<83>

Number: 28881_171
N=48661880015060933137981457416002802132480114106356745333892966732948461875636848914080280263954783190211344349331132472591262877557224150237206443500780963
  ( 155 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=3669494174838085730319346360886510108147157739379354571402691886612341441 (pp73)
 r2=13261195602581412992450307530343836667060648761360730528724076800274659175677939043 (pp83)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 221.80 hours.
Scaled time: 223.57 units (timescale=1.008).
Factorization parameters were as follows:
name: 28881_171
n: 48661880015060933137981457416002802132480114106356745333892966732948461875636848914080280263954783190211344349331132472591262877557224150237206443500780963
m: 10000000000000000000000000000000000
c5: 260
c0: -71
skew: 0.77
type: snfs
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3000000, 11500001)
Primes: RFBsize:412849, AFBsize:412212, largePrimes:6501610 encountered
Relations: rels:6831268, finalFF:949374
Max relations in full relation-set: 28
Initial matrix: 825128 x 949374 with sparse part having weight 91645762.
Pruned matrix : 732702 x 736891 with weight 74084923.
Total sieving time: 215.68 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 5.83 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,48,48,2.6,2.6,100000
total time: 221.80 hours.
 --------- CPU info (if available) ----------

Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

15955618416381363719105020564561792442731148624050997442594452601010541512632742936245978681162464959750190451806002119796467807833<131>

2449546433911624471161459374915594356652322414642886072105793<61>
6513703188268288072413620827782285132171359163786368510031938034560281<70>

Number: 28881_172
N=15955618416381363719105020564561792442731148624050997442594452601010541512632742936245978681162464959750190451806002119796467807833
  ( 131 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=2449546433911624471161459374915594356652322414642886072105793 (pp61)
 r2=6513703188268288072413620827782285132171359163786368510031938034560281 (pp70)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 242.20 hours.
Scaled time: 244.38 units (timescale=1.009).
Factorization parameters were as follows:
name: 28881_172
n: 15955618416381363719105020564561792442731148624050997442594452601010541512632742936245978681162464959750190451806002119796467807833
m: 10000000000000000000000000000000000
c5: 2600
c0: -71
skew: 0.49
type: snfs
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3700000, 12200001)
Primes: RFBsize:501962, AFBsize:500812, largePrimes:6616660 encountered
Relations: rels:7076277, finalFF:1134545
Max relations in full relation-set: 28
Initial matrix: 1002841 x 1134545 with sparse part having weight 77981353.
Pruned matrix : 891612 x 896690 with weight 60315465.
Total sieving time: 235.01 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 6.90 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000
total time: 242.20 hours.
 --------- CPU info (if available) ----------

Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

22326021636801033831635695383327840617695402929871448410422862775184916999270142171287433640041543698093261205040714653450318250858077911074913687<146>

713468875576511513283306519138119<33>
31292215261332474324598857424033910552657776703198753648313833959464824814897277997193127602654614246649390049073<113>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=927773744
Step 1 took 47554ms
Step 2 took 15738ms
********** Factor found in step 2: 713468875576511513283306519138119
Found probable prime factor of 33 digits: 713468875576511513283306519138119
Probable prime cofactor 31292215261332474324598857424033910552657776703198753648313833959464824814897277997193127602654614246649390049073 has 113 digits

GMP-ECM 6.2.1

672821012377613576104713157380867682823785515256011232314747043387243981007535901446312172621257085156971051058542556330823478238727745776043910576094068947820935119<165>

22644944916809299781937983566931675591<38>

29711753102043529863724139334764046191153540703972565269144764438568718925369069665849357714992411887439678409638011808886202809<128>

Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=4142602450
Step 1 took 27291ms
Step 2 took 20090ms
********** Factor found in step 2: 22644944916809299781937983566931675591
Found probable prime factor of 38 digits: 22644944916809299781937983566931675591
Composite cofactor 29711753102043529863724139334764046191153540703972565269144764438568718925369069665849357714992411887439678409638011808886202809 has 128 digits

GMP-ECM 6.2.1

29711753102043529863724139334764046191153540703972565269144764438568718925369069665849357714992411887439678409638011808886202809<128>

54191800160239458856829701948081845851736190659092683069<56>
548270273624219861877501722737475486911050288607230429985686530631932461<72>

Number: 28881_174/28881_174
N=29711753102043529863724139334764046191153540703972565269144764438568718925369069665849357714992411887439678409638011808886202809
  ( 128 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=54191800160239458856829701948081845851736190659092683069 (pp56)
 r2=548270273624219861877501722737475486911050288607230429985686530631932461 (pp72)
Version: Msieve v. 1.44
Total time: 16.11 hours.
Scaled time: 33.60 units (timescale=2.086).
Factorization parameters were as follows:
n: 29711753102043529863724139334764046191153540703972565269144764438568718925369069665849357714992411887439678409638011808886202809
m: 20000000000000000000000000000000000
deg: 5
c5: 8125
c0: -71
skew: 0.39
type: snfs
lss: 1
rlim: 5900000
alim: 5900000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5900000/5900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [2950000, 7850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 
Total sieving time: 12.64 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 2.88 hours.
Time per square root: 0.59 hours.
Prototype def-par.txt line would be:
snfs,175.000,5,0,0,0,0,0,0,0,0,5900000,5900000,28,28,52,52,2.5,2.5,100000
total time: 16.11 hours.
 --------- CPU info (if available) ----------

1274544523057932478012270297316759280417691016120627745519859597545181174786332366980004554575343084541970219127354367682386599526498720250656238963239029169398670193<166>

5485541467765331185793932059381071<34>

232346165013524035407277568756740617921650712557593860807267789156818500888584376591986045173426639312451934844830078298810503320383<132>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1753223694
Step 1 took 19425ms
Step 2 took 12913ms
********** Factor found in step 2: 5485541467765331185793932059381071
Found probable prime factor of 34 digits: 5485541467765331185793932059381071
Composite cofactor 232346165013524035407277568756740617921650712557593860807267789156818500888584376591986045173426639312451934844830078298810503320383 has 132 digits

GMP-ECM 6.2.1

232346165013524035407277568756740617921650712557593860807267789156818500888584376591986045173426639312451934844830078298810503320383<132>

54508721122940264631491161814117815268010024915110722388920609<62>
4262550289695569536241089487495841928985817428623630808822329387118687<70>

N = 232346165013524035407277568756740617921650712557593860807267789156818500888584376591986045173426639312451934844830078298810503320383 (132 digits)
SNFS difficulty: 177 digits.
Divisors found:
r1=54508721122940264631491161814117815268010024915110722388920609 (pp62)
r2=4262550289695569536241089487495841928985817428623630808822329387118687 (pp70)
Version: Msieve v. 1.48
Total time: 35.94 hours.
Factorization parameters were as follows:
name: (26*10^175-71)/9
n: 232346165013524035407277568756740617921650712557593860807267789156818500888584376591986045173426639312451934844830078298810503320383
Y0: 100000000000000000000000000000000000
Y1: -1
c0: -71
c1: 0
c2: 0
c3: 0
c4: 0
c5: 26
skew: 1.22
type: snfs
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 20473722
Relations: 2661780 relations
Pruned matrix : 1495175 x 1495401
Polynomial selection time: 0.00 hours.
Total sieving time: 32.80 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.96 hours.
time per square root: 0.07 hours.
Prototype def-par.txt line would be: snfs,177,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,55,55,2.5,2.5,100000
total time: 35.94 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

72707490342155548476515019381711751468610942138147232179566137303158185999391724808661810254764068692558145383814510277869<122>

54750566371088487970140619870411787020199<41>
1327976953687722400410338375555843000971594563026585227832663573259827714155008331<82>

Number: 28881_176
N=72707490342155548476515019381711751468610942138147232179566137303158185999391724808661810254764068692558145383814510277869
  ( 122 digits)
Divisors found:
 r1=54750566371088487970140619870411787020199 (pp41)
 r2=1327976953687722400410338375555843000971594563026585227832663573259827714155008331 (pp82)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 104.16 hours.
Scaled time: 79.47 units (timescale=0.763).
Factorization parameters were as follows:
name: 28881_176
n: 72707490342155548476515019381711751468610942138147232179566137303158185999391724808661810254764068692558145383814510277869
skew: 195914.61
# norm 6.01e+16
c5: 16920
c4: -2370698138
c3: -1945543577514837
c2: 94960906202510051988
c1: 32239981473917970843344652
c0: -350196706109857443759359141920
# alpha -6.48
Y1: 1223064843187
Y0: -336229491185560213282809
# Murphy_E 2.30e-10
# M 62554245738941506985845956102807922475403985619745266129749410940345544183912752389781863871923413333511066297556897473815
type: gnfs
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 60000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [2500000, 5560001)
Primes: RFBsize:348513, AFBsize:347798, largePrimes:7893977 encountered
Relations: rels:8200076, finalFF:872826
Max relations in full relation-set: 28
Initial matrix: 696394 x 872826 with sparse part having weight 85171281.
Pruned matrix : 554875 x 558420 with weight 58323465.
Total sieving time: 98.04 hours.
Total relation processing time: 0.62 hours.
Matrix solve time: 5.04 hours.
Time per square root: 0.45 hours.
Prototype def-par.txt line would be:
gnfs,121,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5000000,5000000,27,27,50,50,2.4,2.4,60000
total time: 104.16 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

1589988781856742765795163463058105945598920638389963623816002504572346004913439444596871565495633779381634028526365558662108824404109947601567<142>

2017376076560828643015124685140414200032729190914283198287949673<64>
788146940141827768388237540425351195753513134089806471319636383900285174343879<78>

Number: c142
N = 1589988781856742765795163463058105945598920638389963623816002504572346004913439444596871565495633779381634028526365558662108824404109947601567 (142 digits)
SNFS difficulty: 179 digits.
Divisors found:
r1=2017376076560828643015124685140414200032729190914283198287949673 (pp64)
r2=788146940141827768388237540425351195753513134089806471319636383900285174343879 (pp78)
Version: Msieve v. 1.50 (SVN Official Release)
Total time: 9.65 hours.
Factorization parameters were as follows:
n: 1589988781856742765795163463058105945598920638389963623816002504572346004913439444596871565495633779381634028526365558662108824404109947601567
m: 100000000000000000000000000000000000
deg: 5
c5: 2600
c0: -71
skew: 0.49
# Murphy_E = 9.989e-11
type: snfs
lss: 1
rlim: 6600000
alim: 6600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6600000/6600000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 19250238
Relations: 2245938 relations
Pruned matrix : 1347131 x 1347358
Polynomial selection time: 0.00 hours.
Total sieving time: 8.20 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 1.19 hours.
time per square root: 0.05 hours.
Prototype def-par.txt line would be: snfs,179,5,0,0,0,0,0,0,0,0,6600000,6600000,28,28,53,53,2.5,2.5,100000
total time: 9.65 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.39GHz

7589005675767403411397788202725405989043203937538175185043036979296554368694641560088436129720953286693453306212448875494631290027159833861930243507868493970839090816771<169>

412207149418759962139714793065450600844832257<45>

18410659995753145292026556694558603767429133670147533701311804107756046909421157701175182952818817489846053635932167113760003<125>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1691005103
Step 1 took 48162ms
Step 2 took 17807ms
********** Factor found in step 2: 412207149418759962139714793065450600844832257
Found probable prime factor of 45 digits: 412207149418759962139714793065450600844832257
Composite cofactor 18410659995753145292026556694558603767429133670147533701311804107756046909421157701175182952818817489846053635932167113760003 has 125 digits

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

C2D, 3 GHz, Mac OS X

18410659995753145292026556694558603767429133670147533701311804107756046909421157701175182952818817489846053635932167113760003<125>

2724448098765146707217118086863033569787258501<46>
6757574131838943072526248573414624173231223988191018415602136143263460883734503<79>

GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Input number is 18410659995753145292026556694558603767429133670147533701311804107756046909421157701175182952818817489846053635932167113760003 (125 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2023336989
Step 1 took 37391ms
Step 2 took 18140ms
********** Factor found in step 2: 2724448098765146707217118086863033569787258501
Found probable prime factor of 46 digits: 2724448098765146707217118086863033569787258501
Probable prime cofactor 6757574131838943072526248573414624173231223988191018415602136143263460883734503 has 79 digits

GMP-ECM 

139295761708466809985070623524073995636314287728382835218684567662166311862979853701772070493903354934782910251876679758399816088823834131411<141>

689523469696998589998599612895602920980121651035607<51>
202017433532289157887864819888714839163924983934214208588608108590343913495309649602550373<90>

Number: 28881_179
N = 139295761708466809985070623524073995636314287728382835218684567662166311862979853701772070493903354934782910251876679758399816088823834131411 (141 digits)
SNFS difficulty: 182 digits.
Divisors found:
r1=689523469696998589998599612895602920980121651035607 (pp51)
r2=202017433532289157887864819888714839163924983934214208588608108590343913495309649602550373 (pp90)
Version: Msieve v. 1.52 (SVN 945M)
Total time: 93.69 hours.
Factorization parameters were as follows:
n: 139295761708466809985070623524073995636314287728382835218684567662166311862979853701772070493903354934782910251876679758399816088823834131411
m: 1000000000000000000000000000000000000
deg: 5
c5: 13
c0: -355
skew: 1.94
# Murphy_E = 8.78e-11
type: snfs
lss: 1
rlim: 7300000
alim: 7300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 200000
Factor base limits: 7300000/7300000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 18854323
Relations: 2606298 relations
Pruned matrix : 1535617 x 1535842
Polynomial selection time: 0.00 hours.
Total sieving time: 90.17 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 3.07 hours.
time per square root: 0.27 hours.
Prototype def-par.txt line would be: snfs,182,5,0,0,0,0,0,0,0,0,7300000,7300000,28,28,53,53,2.5,2.5,200000
total time: 93.69 hours.
x86 Family 16 Model 4 Stepping 3, AuthenticAMD
Windows-XP-5.1.2600-SP3
processors: 4, speed: 3.20GHz

37459514741310987020889562333193960927299366623573348169177825535365157569288353056633523795970480385161967788461436996303258521578792345747664330187022879<155>

5180675266282702470079103328497117<34>
7230623966166744056534552330638013085435246638933530227944780217280797823900932447771260410059969005105897132631718086187<121>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=868985690
Step 1 took 52218ms
Step 2 took 17153ms
********** Factor found in step 2: 5180675266282702470079103328497117
Found probable prime factor of 34 digits: 5180675266282702470079103328497117
Probable prime cofactor 7230623966166744056534552330638013085435246638933530227944780217280797823900932447771260410059969005105897132631718086187 has 121 digits

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

C2D, 3 GHz, Mac OS X

2888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<184>

593003743193204034604146674734025028736359951238501379<54>
4871619988995031102117074254428860421831102448543408974537652092788862101145035929409514449229400537835795554628125214530032586939<130>

Number: 28881_183
N=2888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881
  ( 184 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=593003743193204034604146674734025028736359951238501379 (pp54)
 r2=4871619988995031102117074254428860421831102448543408974537652092788862101145035929409514449229400537835795554628125214530032586939 (pp130)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 785.58 hours.
Scaled time: 1582.94 units (timescale=2.015).
Factorization parameters were as follows:
n: 2888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881
m: 2000000000000000000000000000000000000
c5: 1625
c0: -142
skew: 0.61
type: snfs
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3700000, 14200001)
Primes: RFBsize:501962, AFBsize:500922, largePrimes:6904629 encountered
Relations: rels:7420737, finalFF:1166355
Max relations in full relation-set: 32
Initial matrix: 1002950 x 1166355 with sparse part having weight 109741467.
Pruned matrix : 875913 x 880991 with weight 88948169.
Total sieving time: 776.71 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 8.48 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000
total time: 785.58 hours.
 --------- CPU info (if available) ----------

5597579746375082563592237808889773706837731746581244227755762446454552805823744061249045629548648592155974142347201854183572546030028470549<139>

256130348375762858480307615369015337<36>
21854418197108778032904529332960642192411393111303719149893244677801745046148919838515882595289731460877<104>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2984161912
Step 1 took 39924ms
Step 2 took 15350ms
********** Factor found in step 2: 256130348375762858480307615369015337
Found probable prime factor of 36 digits: 256130348375762858480307615369015337
Probable prime cofactor 21854418197108778032904529332960642192411393111303719149893244677801745046148919838515882595289731460877 has 104 digits

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

C2D, 3 GHz, Mac OS X

617158156357253800238573566333189314432699040441120387582829934582368592193389049441631037244285202522375613719835416916069045839<129>

426635400523700719380560824023990687589207990696100701579<57>
1446570433676351806454922108543228604497249940075625639596510848668340941<73>

Number: 28881_185
N=617158156357253800238573566333189314432699040441120387582829934582368592193389049441631037244285202522375613719835416916069045839
  ( 129 digits)
Divisors found:
 r1=426635400523700719380560824023990687589207990696100701579 (pp57)
 r2=1446570433676351806454922108543228604497249940075625639596510848668340941 (pp73)
Version: Msieve v. 1.43
Total time: 141.61 hours.
Scaled time: 423.57 units (timescale=2.991).
Factorization parameters were as follows:
# Murphy_E = 9.098144e-11, selected by Jeff Gilchrist
n: 617158156357253800238573566333189314432699040441120387582829934582368592193389049441631037244285202522375613719835416916069045839
Y0: -6966184159841423360708233
Y1: 179572073106863
c0: 451869833669647240802733941550960
c1: 6137113730802307406338953288
c2: 909117430681584103700
c3: -61431158639424524
c4: 9830138349
c5: 37620
skew: 580327.33
type: gnfs
# selected mechanically
rlim: 9100000
alim: 9100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 9100000/9100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved algebraic special-q in [4550000, 9150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1356361 x 1356592
Total sieving time: 139.42 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 1.99 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
gnfs,128,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,9100000,9100000,28,28,53,53,2.5,2.5,100000
total time: 141.61 hours.
 --------- CPU info (if available) ----------

ggnfs

I7 860, Windows 7 64-bit

271767534232256715793874777882303752482491899236960384655586913347966969791993310337618898296226612313159820215323507891711090205916170168286819274589735549283997073272708268004599142887<186>

551630183606680962183180226091792336239549492768560137458052747<63>
492662552392220576655684845632298686292166468106550344307131322364753054986270108272824989428881410922859811571673578121621<123>

Number: n
N=271767534232256715793874777882303752482491899236960384655586913347966969791993310337618898296226612313159820215323507891711090205916170168286819274589735549283997073272708268004599142887
  ( 186 digits)
SNFS difficulty: 189 digits.
Divisors found:

Fri Dec 26 23:41:20 2008  prp63 factor: 551630183606680962183180226091792336239549492768560137458052747
Fri Dec 26 23:41:20 2008  prp123 factor: 492662552392220576655684845632298686292166468106550344307131322364753054986270108272824989428881410922859811571673578121621
Fri Dec 26 23:41:20 2008  elapsed time 10:55:00 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 92.37 hours.
Scaled time: 189.45 units (timescale=2.051).
Factorization parameters were as follows:
name: KA_2_8_187_1
n: 271767534232256715793874777882303752482491899236960384655586913347966969791993310337618898296226612313159820215323507891711090205916170168286819274589735549283997073272708268004599142887
type: snfs
skew: 0.61
deg: 5
c5: 1625
c0: -142
m: 20000000000000000000000000000000000000
rlim: 8800000
alim: 8800000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 8800000/8800000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 9699990)
Primes: RFBsize:590006, AFBsize:589311, largePrimes:36356992 encountered
Relations: rels:29641144, finalFF:377841
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4667599 hash collisions in 36683233 relations
Msieve: matrix is 2002203 x 2002451 (546.7 MB)

Total sieving time: 90.20 hours.
Total relation processing time: 2.16 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,8800000,8800000,29,29,58,58,2.5,2.5,100000
total time: 92.37 hours.
 --------- CPU info (if available) ----------

299393817131356279336065800264145830601932691803714919545020283493239460372605841969601560541240138607504740044106613222605852456130682326992085029440958730551<159>

72699417323643105559820255514719505365107523<44>
4118242320959954123603277295226375280517294101949464324974350549938070624124813732022125598731354966984604402141437<115>

Input number: 299393817131356279336065800264145830601932691803714919545020283493239460372605841969601560541240138607504740044106613222605852456130682326992085029440958730551   digits: 159
B1=3000000
B2=300000000
elliptic curves: 4000
window size: 4
threads = 12
------------------------------------------
Stage1: d = 133856498916577308423925793878609899154390243608336795554727539341001202957941564155514721339866314421276625401731305724676200350953911539556694021824923951201
Stage1 time: 49.554483 seconds
Stage2 time: 20.276090 seconds
Stage2 gcd: -7358267348666776765
total time: 69.831 seconds
Y=299071601039760691903590359723494168154610730360798214697172829551182143304205389571146235442075873638425456520532670681334336789082181232052064293594480164750
--------------------------------------------------
@ probable prime factor found: 72699417323643105559820255514719505365107523 digits: 44 cofactor: 4118242320959954123603277295226375280517294101949464324974350549938070624124813732022125598731354966984604402141437

total time: 4965.331 seconds

2415170409483583770869780725260019893286730251397827770036052814461503377873514307708622040643803660346719976536018993623719279077480504719<139>

2709277460383175889667002241315007927660455403478386259790865009<64>
891444469900105300779004995674814680918805273762791527548529756258305032191<75>

Info:Generate Factor Base: Total cpu/real time for makefb: 4.62/0.526354
Info:Generate Free Relations: Total cpu/real time for freerel: 83.27/5.6358
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22137544
Info:Lattice Sieving: Average J: 3790.99 for 1345843 special-q, max bucket fill -bkmult 1.0,1s:1.138080
Info:Lattice Sieving: Total time: 475937s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 48.48/56.2562
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 56.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 292.88/74.5356
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 68.4s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 122.22/43.2423
Info:Filtering - Merging: Total cpu/real time for merge: 693.39/571.682
Info:Filtering - Merging: Total cpu/real time for replay: 58.04/46.2303
Info:Linear Algebra: Total cpu/real time for bwc: 98419.1/6587.08
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 4157.07, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (57000 iterations)
Info:Linear Algebra: Lingen CPU time 394.85, WCT time 38.83
Info:Linear Algebra: Mksol: WCT time 2239.49, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (29000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 62.67/15.0802
Info:Square Root: Total cpu/real time for sqrt: 1184.33/190.018
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 997594/18571.7
891444469900105300779004995674814680918805273762791527548529756258305032191 2709277460383175889667002241315007927660455403478386259790865009

CADO-NFS 3.0.0-dev

6 * AMD Ryzen 7 1700X Eight-Core Processor with 64GB RAM

295689753212782895485044922097122711247583304901626293642670305925167747071534174911861708176958944615034686682588422608893437962015239394973274195382690776754236324348913908791083816672353<189>

2357695266025173133599952969468394108657649003264896879481391411<64>
125414746118265231875647176337445819091154835277185222972199907719810763192008226592232607294689716776008863337203936248400923<126>

Number: n
N=295689753212782895485044922097122711247583304901626293642670305925167747071534174911861708176958944615034686682588422608893437962015239394973274195382690776754236324348913908791083816672353
  ( 189 digits)
SNFS difficulty: 192 digits.
Divisors found:

Mon Dec 14 17:52:20 2009  prp64 factor: 2357695266025173133599952969468394108657649003264896879481391411
Mon Dec 14 17:52:20 2009  prp126 factor: 125414746118265231875647176337445819091154835277185222972199907719810763192008226592232607294689716776008863337203936248400923
Mon Dec 14 17:52:20 2009  elapsed time 10:44:17 (Msieve 1.42 - dependency 1)

Version: GGNFS-0.77.1-20050930-k8
Total time: ~ 570.00 hours.
Scaled time: 0.00 units (timescale=0.841).
Factorization parameters were as follows:
name: KA_2_8_190_1
n: 295689753212782895485044922097122711247583304901626293642670305925167747071534174911861708176958944615034686682588422608893437962015239394973274195382690776754236324348913908791083816672353
m: 100000000000000000000000000000000000000
deg: 5
c5: 260
c0: -71
skew: 0.77
type: snfs
lss: 1
rlim: 11300000
alim: 11300000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 11300000/11300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 100000)
Primes: RFBsize:745001, AFBsize:744681, 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2971555 hash collisions in 25633478 relations
Msieve: matrix is 1999084 x 1999311 (539.2 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,192,5,0,0,0,0,0,0,0,0,11300000,11300000,28,28,56,56,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656)
Total of 2 processors activated (11993.08 BogoMIPS).

2274715660542432195975503062117235345581802274715660542432195975503062117235345581802274715660542432195975503062117235345581802274715660542432195975503062117235345581802274715660542432195975503<193>

11413826722781612615066149463171<32>
199294742752855759616595652474247599588531861457327919786234813849577319328816218083242071052288301464688708144297554003022214681904207255725793885068388792538693<162>

GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
2274715660542432195975503062117235345581802274715660542432195975503062117235345581802274715660542432195975503062117235345581802274715660542432195975503062117235345581802274715660542432195975503
=
11413826722781612615066149463171* 199294742752855759616595652474247599588531861457327919786234813849577319328816218083242071052288301464688708144297554003022214681904207255725793885068388792538693

4079719181342135483262714951197842952582483454505030294694690411450102629191417788141861585203016788076245528664872589236735273707062501228914983694696590435887<160>

353696527018745721903428283630432881<36>
11534518633048134523180327610901063377106304551914649516210640528009424835879528513544875027432818715673310932957874304660127<125>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=725290316
Step 1 took 13151ms
Step 2 took 5330ms
********** Factor found in step 2: 353696527018745721903428283630432881
Found probable prime factor of 36 digits: 353696527018745721903428283630432881
Probable prime cofactor 11534518633048134523180327610901063377106304551914649516210640528009424835879528513544875027432818715673310932957874304660127 has 125 digits

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

C2D, 3 GHz, Mac OS X

1497295370508726032236309458243980532562258004432006313127278927590021499335743432729224113525906553730156746760168195858822075589441579<136>

6672158345324570924911004640070319<34>
224409447889967492996585171782030978009865301467761627115443269401396865659446660091646883625181321541<102>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=234056921
Step 1 took 16085ms
Step 2 took 11441ms
********** Factor found in step 2: 6672158345324570924911004640070319
Found probable prime factor of 34 digits: 6672158345324570924911004640070319
Probable prime cofactor 224409447889967492996585171782030978009865301467761627115443269401396865659446660091646883625181321541 has 102 digits

GMP-ECM 6.2.1

4630544219967713967968962352577673455388401158757702340222417409883479658001068608952268811038797432036609100662047280632247401431683186225488351600820267475211792039460491551<175>

232889869689920753376507723060620724903611987528778023095730208042169239447924580459<84>
19882978276955596620491120229381248631475387440528475936924814881711134718400118924895727389<92>

Number: n
N=4630544219967713967968962352577673455388401158757702340222417409883479658001068608952268811038797432036609100662047280632247401431683186225488351600820267475211792039460491551
  ( 175 digits)
SNFS difficulty: 201 digits.
Divisors found:

Thu Oct  4 12:17:14 2012  prp84 factor: 232889869689920753376507723060620724903611987528778023095730208042169239447924580459
Thu Oct  4 12:17:14 2012  prp92 factor: 19882978276955596620491120229381248631475387440528475936924814881711134718400118924895727389
Thu Oct  4 12:17:14 2012  elapsed time 06:36:00 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.091).
Factorization parameters were as follows:
name: KA_28881_200
n: 4630544219967713967968962352577673455388401158757702340222417409883479658001068608952268811038797432036609100662047280632247401431683186225488351600820267475211792039460491551
m: 10000000000000000000000000000000000000000
#  c175, diff: 201.41
skew: 1.223
deg: 5
c5: 26
c0: -71
# Murphy_E = 1.23e-11
type: snfs
lss: 1
rlim: 15900000
alim: 15900000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 15900000/15900000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 23150000)
Primes: RFBsize:1025092, AFBsize:1027172,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9614046 hash collisions in 61958647 relations (54525488 unique)
Msieve: matrix is 2087261 x 2087486 (589.4 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,201,5,0,0,0,0,0,0,0,0,15900000,15900000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.42 BogoMIPS (lpj=2830711)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Total of 4 processors activated (22644.16 BogoMIPS).

78419119805953469383211171835519248762348051738516828595417574446325468469569199906340333128529445493620638571410528988427594700409202593350798658886882149<155>

6571487065123080416355079490574294849836152697779826176164824020267522260176531940034284304269432357982869232342810983498756287595243297232836748074470110236605740663<166>

424263003850670654949198111263905081<36>
15489182430424854777257012135391671153069770278842653023875480999918012136522060144423679794031129858722659619226939920411797739823<131>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2529562006
Step 1 took 23775ms
Step 2 took 13619ms
********** Factor found in step 2: 424263003850670654949198111263905081
Found probable prime factor of 36 digits: 424263003850670654949198111263905081
Probable prime cofactor 15489182430424854777257012135391671153069770278842653023875480999918012136522060144423679794031129858722659619226939920411797739823 has 131 digits

GMP-ECM 6.3

337910954609247080466951307316731700288225441463273005175944600728599698001824359766493769513944419253160652398919915584775390958962141857420334245575351223154284372745686502149<177>

4422443018504987643845191548565809986727535105059880426876585144518761<70>
76408209940820966968648319266875659929679855143986756295054197804187771753242411210683351597063652812405309<107>

09/15/24 14:52:34 v1.34.5 @ TRIGKEY,
09/15/24 14:52:34 v1.34.5 @ TRIGKEY, ****************************
09/15/24 14:52:34 v1.34.5 @ TRIGKEY, Starting factorization of 25999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999929
09/15/24 14:52:34 v1.34.5 @ TRIGKEY, using pretesting plan: normal
09/15/24 14:52:34 v1.34.5 @ TRIGKEY, no tune info: using qs/gnfs crossover of 100 digits
09/15/24 14:52:34 v1.34.5 @ TRIGKEY, ****************************
09/15/24 14:52:34 v1.34.5 @ TRIGKEY, div: found prime factor = 3
09/15/24 14:52:34 v1.34.5 @ TRIGKEY, div: found prime factor = 3
09/15/24 14:52:34 v1.34.5 @ TRIGKEY, rho: x^2 + 3, starting 1000 iterations on C208
09/15/24 14:52:34 v1.34.5 @ TRIGKEY, rho: x^2 + 2, starting 1000 iterations on C208
09/15/24 14:52:34 v1.34.5 @ TRIGKEY, prp5 = 21767
09/15/24 14:52:34 v1.34.5 @ TRIGKEY, rho: x^2 + 2, starting 1000 iterations on C204
09/15/24 14:52:34 v1.34.5 @ TRIGKEY, rho: x^2 + 1, starting 1000 iterations on C204
09/15/24 14:52:34 v1.34.5 @ TRIGKEY, pm1: starting B1 = 150K, B2 = gmp-ecm default on C204
09/15/24 14:52:34 v1.34.5 @ TRIGKEY, prp11 = 31429738051
09/15/24 14:52:34 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 0.00
09/15/24 14:52:34 v1.34.5 @ TRIGKEY, scheduled 30 curves at B1=2000 toward target pretesting depth of 59.38
09/15/24 14:52:34 v1.34.5 @ TRIGKEY, Finished 30 curves using Lenstra ECM method on C193 input, B1=2K, B2=gmp-ecm default
09/15/24 14:52:34 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 15.18
09/15/24 14:52:34 v1.34.5 @ TRIGKEY, scheduled 74 curves at B1=11000 toward target pretesting depth of 59.38
09/15/24 14:52:37 v1.34.5 @ TRIGKEY, Finished 74 curves using Lenstra ECM method on C193 input, B1=11K, B2=gmp-ecm default
09/15/24 14:52:37 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 20.24
09/15/24 14:52:37 v1.34.5 @ TRIGKEY, scheduled 214 curves at B1=50000 toward target pretesting depth of 59.38
09/15/24 14:53:03 v1.34.5 @ TRIGKEY, Finished 214 curves using Lenstra ECM method on C193 input, B1=50K, B2=gmp-ecm default
09/15/24 14:53:03 v1.34.5 @ TRIGKEY, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C193
09/15/24 14:53:04 v1.34.5 @ TRIGKEY, prp17 = 12496524028672457
09/15/24 14:53:04 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 25.33
09/15/24 14:53:04 v1.34.5 @ TRIGKEY, scheduled 430 curves at B1=250000 toward target pretesting depth of 54.46
09/15/24 14:57:26 v1.34.5 @ TRIGKEY, nfs: commencing nfs on c209: 25999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999929
09/15/24 14:57:26 v1.34.5 @ TRIGKEY, nfs: input divides 26*10^207 - 71
09/15/24 14:57:26 v1.34.5 @ TRIGKEY, nfs: using supplied cofactor: 337910954609247080466951307316731700288225441463273005175944600728599698001824359766493769513944419253160652398919915584775390958962141857420334245575351223154284372745686502149
09/15/24 14:57:26 v1.34.5 @ TRIGKEY, nfs: commencing snfs on c177: 337910954609247080466951307316731700288225441463273005175944600728599698001824359766493769513944419253160652398919915584775390958962141857420334245575351223154284372745686502149
09/15/24 14:57:26 v1.34.5 @ TRIGKEY, gen: best 3 polynomials:
n: 337910954609247080466951307316731700288225441463273005175944600728599698001824359766493769513944419253160652398919915584775390958962141857420334245575351223154284372745686502149
# 26*10^207-71, difficulty: 210.41, anorm: -3.87e+026, rnorm: 1.43e+047
# scaled difficulty: 213.84, suggest sieving rational side
# size = 1.084e-014, alpha = 0.004, combined = 5.140e-012, rroots = 1
type: snfs
size: 210
skew: 0.4867
c5: 2600
c0: -71
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
n: 337910954609247080466951307316731700288225441463273005175944600728599698001824359766493769513944419253160652398919915584775390958962141857420334245575351223154284372745686502149
# 26*10^207-71, difficulty: 209.32, anorm: -7.92e+024, rnorm: 2.03e+047
# scaled difficulty: 213.05, suggest sieving rational side
# size = 1.004e-014, alpha = 0.235, combined = 4.881e-012, rroots = 1
type: snfs
size: 209
skew: 0.9734
c5: 325
c0: -284
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
n: 337910954609247080466951307316731700288225441463273005175944600728599698001824359766493769513944419253160652398919915584775390958962141857420334245575351223154284372745686502149
# 26*10^207-71, difficulty: 211.41, anorm: -6.13e+033, rnorm: 1.64e+040
# scaled difficulty: 212.49, suggest sieving rational side
# size = 1.303e-010, alpha = -1.150, combined = 4.028e-012, rroots = 2
type: snfs
size: 211
skew: 0.3739
c6: 26000
c0: -71
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
09/15/24 14:57:27 v1.34.5 @ TRIGKEY, test: fb generation took 1.6373 seconds
09/15/24 14:57:27 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 0 on the rational side over range 21400000-21402000
skew: 0.4867
c5: 2600
c0: -71
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
09/15/24 15:00:24 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
09/15/24 15:00:26 v1.34.5 @ TRIGKEY, test: fb generation took 1.5976 seconds
09/15/24 15:00:26 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 1 on the rational side over range 21400000-21402000
skew: 0.9734
c5: 325
c0: -284
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
09/15/24 15:03:22 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
09/15/24 15:03:25 v1.34.5 @ TRIGKEY, test: fb generation took 2.4903 seconds
09/15/24 15:03:25 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 2 on the rational side over range 22600000-22602000
skew: 0.3739
c6: 26000
c0: -71
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
09/15/24 15:06:14 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
09/15/24 15:06:14 v1.34.5 @ TRIGKEY, gen: selected polynomial:
n: 337910954609247080466951307316731700288225441463273005175944600728599698001824359766493769513944419253160652398919915584775390958962141857420334245575351223154284372745686502149
# 26*10^207-71, difficulty: 209.32, anorm: -7.92e+024, rnorm: 2.03e+047
# scaled difficulty: 213.05, suggest sieving rational side
# size = 1.004e-014, alpha = 0.235, combined = 4.881e-012, rroots = 1
type: snfs
size: 209
skew: 0.9734
c5: 325
c0: -284
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
09/15/24 15:06:14 v1.34.5 @ TRIGKEY, test: test sieving took 527.97 seconds
09/18/24 00:41:46 v1.34.5 @ TRIGKEY, nfs: previous data file found - commencing search for last special-q
09/18/24 00:41:49 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
09/18/24 00:41:49 v1.34.5 @ TRIGKEY, nfs: commencing nfs on c177: 337910954609247080466951307316731700288225441463273005175944600728599698001824359766493769513944419253160652398919915584775390958962141857420334245575351223154284372745686502149
09/18/24 00:41:49 v1.34.5 @ TRIGKEY, nfs: resuming with filtering
09/18/24 06:00:05 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
09/18/24 06:02:01 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 22188994
09/18/24 08:31:29 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
09/18/24 08:33:29 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 23307751
09/18/24 11:20:19 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
09/18/24 11:22:25 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 24537187
09/18/24 14:24:01 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
09/18/24 14:26:14 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 25867315
09/18/24 17:29:02 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
09/18/24 17:31:19 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 27184624
09/18/24 20:47:49 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
09/18/24 20:52:11 v1.34.5 @ TRIGKEY, nfs: commencing msieve linear algebra
09/19/24 00:27:56 v1.34.5 @ TRIGKEY, nfs: commencing msieve sqrt
09/19/24 00:31:41 v1.34.5 @ TRIGKEY, prp107 = 76408209940820966968648319266875659929679855143986756295054197804187771753242411210683351597063652812405309
09/19/24 00:31:41 v1.34.5 @ TRIGKEY, prp70 = 4422443018504987643845191548565809986727535105059880426876585144518761
09/19/24 00:31:41 v1.34.5 @ TRIGKEY, NFS elapsed time = 85795.3128 seconds.
09/19/24 00:31:41 v1.34.5 @ TRIGKEY,
09/19/24 00:31:41 v1.34.5 @ TRIGKEY,

YAFU

1161717731120213473445633949482376498264668061257225821459739655122346280962947480832395346352769725283838206719844523241298965438748512753184190996020667448347973010770285014516217109<184>

163127567850601427960699256953464464234699277<45>
96609798497246529771669712223576706680559637861<47>
73714356824996437969035540789240994679581785245144112163538228657438881134183568615784967797<92>

#
# N = 26x10^209-71 = 28(208)1
#
n: 1161717731120213473445633949482376498264668061257225821459739655122346280962947480832395346352769725283838206719844523241298965438748512753184190996020667448347973010770285014516217109
m: 1000000000000000000000000000000000000000000
deg: 5
c5: 13
c0: -355
skew: 1.94
# Murphy_E = 5.01e-12
type: snfs
lss: 1
rlim: 23000000
alim: 23000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1161717731120213473445633949482376498264668061257225821459739655122346280962947480832395346352769725283838206719844523241298965438748512753184190996020667448347973010770285014516217109 (184 digits)
Using B1=35180000, B2=192388936756, polynomial Dickson(12), sigma=1:2732205250
Step 1 took 97321ms
Step 2 took 34489ms
********** Factor found in step 2: 163127567850601427960699256953464464234699277
Found prime factor of 45 digits: 163127567850601427960699256953464464234699277
Composite cofactor 7121529159217035348488129585827114027001334873366519888175423416133818961072871531768056706833682146152374805703441573424599414173866962217 has 139 digits



CADO

STA:Sun 13 Jun 2021 22:41:02 AEST (7121529159217035348488129585827114027001334873366519888175423416133818961072871531768056706833682146152374805703441573424599414173866962217 - C139)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors 7121529159217035348488129585827114027001334873366519888175423416133818961072871531768056706833682146152374805703441573424599414173866962217 2>&1 | tee -a log10

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.654h4ujp
Info:Database: Opened connection to database /tmp/cado.654h4ujp/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 712152915921703534848812958582711402700133487336651988817542341613381896107287153176805670683368214615237480570344157342459941
4173866962217
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.654h4ujp/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 7121529159217035348488129585827114027001334873366519888175423416133818961072871531768056706833682146152374805703441573424599414173866962217

...

n: 7121529159217035348488129585827114027001334873366519888175423416133818961072871531768056706833682146152374805703441573424599414173866962217
skew: 209084.408
c0: 16860485388917784560509461232320
c1: 1414263420510435953688439724
c2: -1600245294816785855773
c3: -56147764111811521
c4: 69262799940
c5: 201600
Y0: -724499748910002315139775577
Y1: 158613459821796403829
# MurphyE (Bf=2.02e+07,Bg=1.65e+07,area=6.79e+14) = 9.54e-10
# f(x) = 201600*x^5+69262799940*x^4-56147764111811521*x^3-1600245294816785855773*x^2+1414263420510435953688439724*x+16860485388917784560509461232320
# g(x) = 158613459821796403829*x-724499748910002315139775577

...

Info:Square Root: Factors: 73714356824996437969035540789240994679581785245144112163538228657438881134183568615784967797 96609798497246529771669712223576706680559637861
Info:Square Root: Total cpu/real time for sqrt: 2272/318.78
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): 66319/40.970/49.995/55.380/0.964
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 66319/40.290/44.718/50.630/1.218
Info:Polynomial Selection (size optimized): Total time: 27883.1
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 3497.5
Info:Polynomial Selection (root optimized): Rootsieve time: 3496.57
Info:Generate Factor Base: Total cpu/real time for makefb: 26.05/2.33794
Info:Generate Free Relations: Total cpu/real time for freerel: 302.13/19.9896
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25172875
Info:Lattice Sieving: Average J: 3803.86 for 768342 special-q, max bucket fill: 0.69338
Info:Lattice Sieving: Total CPU time: 734665s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 67.06/88.5992
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: 405.63/125.452
Info:Filtering - Singleton removal: Total cpu/real time for purge: 195.21/90.3651
Info:Filtering - Merging: Total cpu/real time for merge: 878.37/734.586
Info:Filtering - Merging: Total cpu/real time for replay: 74.66/57.3548
Info:Linear Algebra: Total cpu/real time for bwc: 109830/0.00014925
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 4696.71
Info:Linear Algebra: Lingen CPU time 494.52, WCT time 47.86
Info:Linear Algebra: Mksol: WCT time 2539.3
Info:Quadratic Characters: Total cpu/real time for characters: 75.84/18.1976
Info:Square Root: Total cpu/real time for sqrt: 2272/318.78
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 880172/58481.4
Info:root: Cleaning up computation data in /tmp/cado.654h4ujp
73714356824996437969035540789240994679581785245144112163538228657438881134183568615784967797 96609798497246529771669712223576706680559637861

END:Mon 14 Jun 2021 14:55:45 AEST (7121529159217035348488129585827114027001334873366519888175423416133818961072871531768056706833682146152374805703441573424599414173866962217 - C139)

386964620377758163349576632966369000224380338766784059001648542647652899913199368954294704046237162240679599845892337904736488873127034542541141193022991519874793152857146349889<177>

91099919129363333623352227<26>
4247694444473240967416501879999512610764960895468129813752129976164251072713861009072482980479415481437354570797317085554806591351352670348949118440907<151>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3761491322
Step 1 took 10515ms
********** Factor found in step 1: 91099919129363333623352227
Found probable prime factor of 26 digits: 91099919129363333623352227
Probable prime cofactor 4247694444473240967416501879999512610764960895468129813752129976164251072713861009072482980479415481437354570797317085554806591351352670348949118440907 has 151 digits

GMP-ECM 6.3

453930690736046948910817526439799022651850819981494155031700401077413399185449856831587801826831647767764588533469583170772916129262453887054486991503585445309675869621076678449117610683378779656071571<201>

2983598230778787745431535187548760152070748176198263221675138451815318761<73>
152142029732187031291512059613840679301293697539948095272267805926704902693669461539812830494428561574459170236597156658452733211<129>

Number: n
N=453930690736046948910817526439799022651850819981494155031700401077413399185449856831587801826831647767764588533469583170772916129262453887054486991503585445309675869621076678449117610683378779656071571  ( 201 digits)
SNFS difficulty: 212 digits.
Divisors found:

Thu Oct  1 15:28:44 2020  p73 factor: 2983598230778787745431535187548760152070748176198263221675138451815318761
Thu Oct  1 15:28:44 2020  p129 factor: 152142029732187031291512059613840679301293697539948095272267805926704902693669461539812830494428561574459170236597156658452733211
Thu Oct  1 15:28:44 2020  elapsed time 03:51:04 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.118).
Factorization parameters were as follows:
#
# N = 26x10^211-71 = 28(210)1
#
n: 453930690736046948910817526439799022651850819981494155031700401077413399185449856831587801826831647767764588533469583170772916129262453887054486991503585445309675869621076678449117610683378779656071571
m: 100000000000000000000000000000000000
deg: 6
c6: 260
c0: -71
skew: 0.81
# Murphy_E = 4.744e-12
type: snfs
lss: 1
rlim: 24000000
alim: 24000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 24000000/24000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 44800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10695215 hash collisions in 62673552 relations (54279626 unique)
Msieve: matrix is 2953109 x 2953335 (1028.8 MB)

Sieving start time: 2020/09/30 16:03:51
Sieving end time  : 2020/10/01 11:36:41

Total sieving time: 19hrs 32min 50secs.

Total relation processing time: 3hrs 26min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 4sec.

Prototype def-par.txt line would be:
snfs,212,6,0,0,0,0,0,0,0,0,24000000,24000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.153144] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283120K/16703460K available (12300K kernel code, 2482K rwdata, 4272K rodata, 2436K init, 2724K bss, 420340K reserved, 0K cma-reserved)
[    0.188717] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.74 BogoMIPS (lpj=11977488)
[    0.186225] smpboot: Total of 16 processors activated (95819.90 BogoMIPS)

14248081590877190021287753439140629916958026996310418473830657382759708669786314238772636169242123975198330290373693506288027569919548855288687529205385067456579954880503644208690857582921609905001<197>

2168354932663903945646973995377399936947029990014160550641495564016721889138835368304902661763282000951352983034261144224516234035383287<136>

9790810924814670789037765047390895129209442911476622227<55>
221468369608511105410771883939130038980777189248332249133141024280017527952112781<81>

Number: 28881_214
N = 2168354932663903945646973995377399936947029990014160550641495564016721889138835368304902661763282000951352983034261144224516234035383287 (136 digits)
Divisors found:
r1=9790810924814670789037765047390895129209442911476622227 (pp55)
r2=221468369608511105410771883939130038980777189248332249133141024280017527952112781 (pp81)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 99.72 hours.
Factorization parameters were as follows:
# Murphy_E = 3.949e-11, selected by Erik Branger
# expecting poly E from 3.94e-011 to > 4.53e-011
n: 2168354932663903945646973995377399936947029990014160550641495564016721889138835368304902661763282000951352983034261144224516234035383287
Y0: -208827523674366965112722179
Y1: 87398540266673
c0: 185667288754326886057247090577792
c1: 1456773761732971458052054296
c2: 5225776291102539147968
c3: 1781680658893457
c4: -28932623032
c5: 5460
skew: 626162.46
type: gnfs
# selected mechanically
rlim: 13600000
alim: 13600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 13600000/13600000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 22289464
Relations: 3378890 relations
Pruned matrix : 2029425 x 2029650
Polynomial selection time: 0.00 hours.
Total sieving time: 96.89 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 2.50 hours.
time per square root: 0.09 hours.
Prototype def-par.txt line would be: gnfs,135,5,65,2000,1e-05,0.28,250,20,50000,3600,13600000,13600000,28,28,55,55,2.6,2.6,100000
total time: 99.72 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz

GGNFS, Msieve

976116549458014414189705037993161569534080444917554122529678536852069498052568308419746079867779213510981462078891036933680111801775366429680605975454036674862448393610101877890033382219<186>

660165636929562535369744437140483224918494934982468460313439859886776587500156678039002158741261307317477826402821580061135511507579695058313723954247083384739524714971185918211546452133638381602353443267<204>

4318405152483788428736993354070631539476214181<46>
434143211719447004965847949807199083255875181877625860816250120187003339410869<78>
352124719831139174194550694708231515539069863175572393344827373181402975383230603<81>

Number: n
N=660165636929562535369744437140483224918494934982468460313439859886776587500156678039002158741261307317477826402821580061135511507579695058313723954247083384739524714971185918211546452133638381602353443267
  ( 204 digits)
SNFS difficulty: 218 digits.
Divisors found:

Sun Oct 13 08:27:44 2019  found factor: 434143211719447004965847949807199083255875181877625860816250120187003339410869
Sun Oct 13 08:35:16 2019  found factor: 434143211719447004965847949807199083255875181877625860816250120187003339410869
Sun Oct 13 08:42:49 2019  p46 factor: 4318405152483788428736993354070631539476214181
Sun Oct 13 08:42:49 2019  p78 factor: 434143211719447004965847949807199083255875181877625860816250120187003339410869
Sun Oct 13 08:42:49 2019  p81 factor: 352124719831139174194550694708231515539069863175572393344827373181402975383230603
Sun Oct 13 08:42:49 2019  elapsed time 06:27:41 (Msieve 1.54 - dependency 3)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.126).
Factorization parameters were as follows:
#
# N = 26x10^217-71 = 28(216)1
#
n: 660165636929562535369744437140483224918494934982468460313439859886776587500156678039002158741261307317477826402821580061135511507579695058313723954247083384739524714971185918211546452133638381602353443267
m: 1000000000000000000000000000000000000
deg: 6
c6: 260
c0: -71
skew: 0.81
# Murphy_E = 2.985e-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, 62700000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 11756330 hash collisions in 65324737 relations (55786905 unique)
Msieve: matrix is 3800543 x 3800768 (1324.2 MB)

Sieving start time: 2019/10/11 20:49:18
Sieving end time  : 2019/10/13 02:13:54

Total sieving time: 29hrs 24min 36secs.

Total relation processing time: 5hrs 44min 34sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 22min 38sec.

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) ----------
[    0.149912] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284044K/16703460K available (12300K kernel code, 2481K rwdata, 4256K rodata, 2436K init, 2388K bss, 419416K reserved, 0K cma-reserved)
[    0.184564] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.54 BogoMIPS (lpj=11977096)
[    0.182216] smpboot: Total of 16 processors activated (95816.76 BogoMIPS)

271400359534669858800155138276382569813359163005967940199666360871841519544280506027908881420381066351687925068783050306429288236844752794084618886944122480116082922401<168>

11254456736006963637457280799675531759828110710920135971166014443059705323913084899978726736601075763641309253854202645704788865917119657489044228580437567256181903460278806175404371984025369<191>

32406430484173185218577289279<29>
347290848385892780451212058486968042960125447438063653040609716369677748551344102104802097621900264031955750701732744778785870159718274033962790179461303140012711<162>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2258436895
Step 1 took 8003ms
Step 2 took 5101ms
********** Factor found in step 2: 32406430484173185218577289279
Found probable prime factor of 29 digits: 32406430484173185218577289279
Probable prime cofactor 347290848385892780451212058486968042960125447438063653040609716369677748551344102104802097621900264031955750701732744778785870159718274033962790179461303140012711 has 162 digits

GMP-ECM 6.3

175071440435696992332858547736593620955640283079577977586759782836003148687412252843145094519431158427019145576249540956191061605738578514523953527190478859910965056749045297442222846050754041979608546894551<207>

29503692265055550869104142681<29>

5933882405730392063796779960593434341690609832624599695270595027393573746817149369757900051621676294873473815584033969167497777156183469571013864767809883481478802996516044388271<178>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2051825605
Step 1 took 11981ms
Step 2 took 7238ms
********** Factor found in step 2: 29503692265055550869104142681
Found probable prime factor of 29 digits: 29503692265055550869104142681
Composite cofactor 5933882405730392063796779960593434341690609832624599695270595027393573746817149369757900051621676294873473815584033969167497777156183469571013864767809883481478802996516044388271 has 178 digits

GMP-ECM 6.3

5933882405730392063796779960593434341690609832624599695270595027393573746817149369757900051621676294873473815584033969167497777156183469571013864767809883481478802996516044388271<178>

105994486480278226826694894465615593700906691<45>
55982934610796711598455495576492144128169370476476732726548117793126927446427794655975413665861007110756316992324292071598933713929381<134>

GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Resuming ECM residue saved with Prime95 
Input number is 0x5DB7B9026B3AAAE0FBCF25D8DF9D0E95E6D87ECC48ADBC4ACB2D69C9FF815E0B7BBFCDB2D9320D0B49E611384590354C0919785D48D189B7230B711FBC622744977CF095B74EC10BB7AF (178 digits)
[Fri Nov 07 03:11:40 2014]
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=11000000, B2=58542548620, polynomial Dickson(12), sigma=1466884222739245
dF=32768, k=5, d=324870, d2=11, i0=-10
Expected number of curves to find a factor of n digits:
35     40      45      50      55      60      65      70      75      80
Inf     Inf     Inf     Inf     Inf     Inf     Inf     Inf     Inf     Inf
Step 1 took 0ms
Using 22 small primes for NTT
Estimated memory usage: 123M
Initializing tables of differences for F took 93ms
Computing roots of F took 2917ms
Building F from its roots took 2715ms
Computing 1/F took 1232ms
Initializing table of differences for G took 78ms
Computing roots of G took 2527ms
Building G from its roots took 3042ms
Computing roots of G took 2527ms
Building G from its roots took 2948ms
Computing G * H took 640ms
Reducing  G * H mod F took 639ms
Computing roots of G took 1935ms
Building G from its roots took 2589ms
Computing G * H took 452ms
Reducing  G * H mod F took 577ms
Computing roots of G took 2013ms
Building G from its roots took 2714ms
Computing G * H took 639ms
Reducing  G * H mod F took 671ms
Computing roots of G took 1935ms
Building G from its roots took 2636ms
Computing G * H took 577ms
Reducing  G * H mod F took 671ms
Computing polyeval(F,G) took 4383ms
Computing product of all F(g_i) took 32ms
Step 2 took 41387ms
********** Factor found in step 2: 105994486480278226826694894465615593700906691
Found probable prime factor of 45 digits: 105994486480278226826694894465615593700906691
Probable prime cofactor (0x5DB7B9026B3AAAE0FBCF25D8DF9D0E95E6D87ECC48ADBC4ACB2D69C9FF815E0B7BBFCDB2D9320D0B49E611384590354C0919785D48D189B7230B711FBC622744977CF095B74EC10BB7AF)/105994486480278226826694894465615593700906691 has 134 digits

Prime95 v28.5, GMP-ECM 6.4.4

3600624292858161715115836238067738821792640046974298466826478991049678921252961859694750151295463074905448990925041926500179338786894281516195192612626835452854671879262758327482318857438820546270099446473257747920293257<220>

65421285601779867014621701347128127938193849423255133147986375761731505481541865019585259301048449272901<104>
55037504380075989770868115964469914961143659135781040149899045630848071902196119323000033904285114926501109977827957<116>

Number: n
N=3600624292858161715115836238067738821792640046974298466826478991049678921252961859694750151295463074905448990925041926500179338786894281516195192612626835452854671879262758327482318857438820546270099446473257747920293257
  ( 220 digits)
SNFS difficulty: 225 digits.
Divisors found:

Sun Oct 20 05:38:19 2019  p104 factor: 65421285601779867014621701347128127938193849423255133147986375761731505481541865019585259301048449272901
Sun Oct 20 05:38:19 2019  p116 factor: 55037504380075989770868115964469914961143659135781040149899045630848071902196119323000033904285114926501109977827957
Sun Oct 20 05:38:19 2019  elapsed time 23:04:18 (Msieve 1.54 - dependency 3)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.756).
Factorization parameters were as follows:
#
# N = 26x10^224-71 = 28(223)1
#
n: 3600624292858161715115836238067738821792640046974298466826478991049678921252961859694750151295463074905448990925041926500179338786894281516195192612626835452854671879262758327482318857438820546270099446473257747920293257
m: 10000000000000000000000000000000000000
deg: 6
c6: 2600
c0: -71
skew: 0.55
# Murphy_E = 1.193e-12
type: snfs
lss: 1
rlim: 40000000
alim: 40000000
lpbr: 30
lpba: 30
mfbr: 59
mfba: 59
rlambda: 2.7
alambda: 2.7
Factor base limits: 40000000/40000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 59/59
Sieved  special-q in [100000, 110400000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 18059799 hash collisions in 101139579 relations (85079205 unique)
Msieve: matrix is 6615061 x 6615286 (2316.6 MB)

Sieving start time: 2019/10/16 22:35:10
Sieving end time  : 2019/10/19 06:30:03

Total sieving time: 55hrs 54min 53secs.

Total relation processing time: 21hrs 18min 45sec.
Matrix solve time: 0.00 hours.
Total square root time: 1hrs 11min 14sec.

Prototype def-par.txt line would be:
snfs,225,6,0,0,0,0,0,0,0,0,40000000,40000000,30,30,59,59,2.7,2.7,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149912] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284044K/16703460K available (12300K kernel code, 2481K rwdata, 4256K rodata, 2436K init, 2388K bss, 419416K reserved, 0K cma-reserved)
[    0.184564] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.54 BogoMIPS (lpj=11977096)
[    0.182216] smpboot: Total of 16 processors activated (95816.76 BogoMIPS)

1072531588000832344598686307562389026095583333652914704275269169732530946999794439250827327169193787152286607983644901492509938037836674823752661020947841843770473766946597705729<178>

294696075617997171197682922067432427999420801941751748991898576018960985445827700724049793775606569121827987506670685018887263632103681630808184527045615380000242180575824121972516739313990644432556268475743<207>

68889087294293925296356143774059155521707<41>
4277833938473544143186753771267505359049959083581815855179016730503855465994042240328654017718006645773122472840916812757901276238410372403446453337962797955950200349<166>

GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Resuming ECM residue saved with Prime95
Input number is 0x3ABEF0FDDA39597AF6471B3CBBBACE5B7EE5A2B29C1D346DFFAF31442236B4645A2AB7E48F6260FBA9187F24586CD4A4004E5DF1A18B2088A9D3C39C2BBD56AE598B6D5CE60424E5AD258F8879BF1F35BC8DC76C555F (207 digits)
[Wed Nov 05 12:45:36 2014]
Using MODMULN [mulredc:0, sqrredc:2]
Using B1=20000000, B2=210770782960, polynomial Dickson(12), sigma=8203022542527119
dF=32768, k=18, d=324870, d2=11, i0=-10
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
Inf     Inf     Inf     Inf     Inf     Inf     Inf     Inf     Inf     Inf
Step 1 took 0ms
Using 25 small primes for NTT
Estimated memory usage: 135M
Initializing tables of differences for F took 109ms
Computing roots of F took 2839ms
Building F from its roots took 2418ms
Computing 1/F took 1233ms
Initializing table of differences for G took 94ms
Computing roots of G took 2527ms
Building G from its roots took 3042ms
Computing roots of G took 2044ms
Building G from its roots took 3151ms
Computing G * H took 593ms
Reducing  G * H mod F took 843ms
Computing roots of G took 2293ms
Building G from its roots took 3011ms
Computing G * H took 655ms
Reducing  G * H mod F took 702ms
<...snipped...>
Computing roots of G took 2355ms
Building G from its roots took 3214ms
Computing G * H took 655ms
Reducing  G * H mod F took 811ms
Computing polyeval(F,G) took 5460ms
Computing product of all F(g_i) took 16ms
Step 2 took 133193ms
********** Factor found in step 2: 68889087294293925296356143774059155521707
Found probable prime factor of 41 digits: 68889087294293925296356143774059155521707
Probable prime cofactor (0x3ABEF0FDDA39597AF6471B3CBBBACE5B7EE5A2B29C1D346DFFAF31442236B4645A2AB7E48F6260FBA9187F24586CD4A4004E5DF1A18B2088A9D3C39C2BBD56AE598B6D5CE60424E5AD258F8879BF1F35BC8DC76C555F)/6888
9087294293925296356143774059155521707 has 166 digits

Prime 95 v28.5, GMP-ECM 6.4.4

1168700811974770340022059947744950307596836233241307045520959180650403847843936298010603159856633280640948997267079534532837092405745321175531319276595781497975570863<166>

100269079892990726609578593932831474469279782538910662123143482227718224095269640658826010701908354820571451372447759032242408613311716930628365672701013904041571<162>

504005066031907882145669438446133<33>
198944587367784168586766744436521298154554430775564127782947078896851534022650823420248579051000524275587988884065270438416716087<129>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3732652861
Step 1 took 7909ms
Step 2 took 5710ms
********** Factor found in step 2: 504005066031907882145669438446133
Found probable prime factor of 33 digits: 504005066031907882145669438446133
Probable prime cofactor 198944587367784168586766744436521298154554430775564127782947078896851534022650823420248579051000524275587988884065270438416716087 has 129 digits

GMP-ECM 6.3

62468308283263588238049143049866306529188784542726813890388911476566423914234290551166917638442394078606291737500952615407772387957641929499902475600942368758237<161>

37687220765331657021044284072477314010987867011908222983196358130827113934390641971307306441780497389766136142800758808975296341590369292909408968382210289800373000873714924634722078898311679297293369137645880699769<215>

5010610113048817600145262145992883857531376416004133024239016603035665598606945915003745152439774866198645228162479134782900140113240757481134988457149248346941430147324928292557390556709122572800066723<202>

33178491755142344276785485053452487413960711636165437127164559891210170840774440576643354025801556377102908394016058031459737263500539527630298795879157036347404407725411825143689919883606297863800514818112797687806211504527499<227>

5665835306132024127279833119902278200221888412080143265651121041095214775904273108162778671735769847216587584665782657982237023196655591884113950892029857667339107045703898886131500592170172469439791866689108184713<214>

1913613557721054452147302893333356177549575205845754380865796637248373691751830637647993829541811217302253188544555792123124360977222480776017938845374009487385021505028613681614501679901424926667317233418233367983427590517<223>

491348783221293076888668902789333<33>
3894613405115940764296836374692531057963534631013999270472705018312818869822656595366229429068185016998685268740111247866849486258106991796132129483591762792599804359076171598414783054460449<190>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=561211223
Step 1 took 14040ms
Step 2 took 8018ms
********** Factor found in step 2: 491348783221293076888668902789333
Found probable prime factor of 33 digits: 491348783221293076888668902789333
Probable prime cofactor 3894613405115940764296836374692531057963534631013999270472705018312818869822656595366229429068185016998685268740111247866849486258106991796132129483591762792599804359076171598414783054460449 has 190 digits

GMP-ECM 6.3

2356758699000308282166742309556448041945953903068871468816320662764055550252848482804861920680385359053547461177159273650594750718834064336430567486646469244616234024688497685073767906947189841717366438178910798586778710600999755169029<235>

20504318296994785575407412479840749119900679<44>

114939627100196084426056957196830601147913390599667494734927938879349817353188359178336437734556828157283608496270511920720214408229918126303271991201805460463289322115528566751704311729013651<192>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3285317832
Step 1 took 128167ms
Step 2 took 40004ms
********** Factor found in step 2: 20504318296994785575407412479840749119900679
Found probable prime factor of 44 digits: 20504318296994785575407412479840749119900679

27835650536790793325913394491269551389702555372057721878011036732005129971582153779844499725682952154602642897925138828051233314830010794594494377099723298323179878808998863671118354535154108318553598147466133<209>

12501928753833781574211276266779<32>
2226508492000072076435292702801436970843205033632001687647771607552888135321862492059244783268685043117692693498032799900398152718460010811961756960974473188481293324168868678927<178>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2883895847
Step 1 took 10031ms
Step 2 took 5913ms
********** Factor found in step 2: 12501928753833781574211276266779
Found probable prime factor of 32 digits: 12501928753833781574211276266779
Probable prime cofactor 2226508492000072076435292702801436970843205033632001687647771607552888135321862492059244783268685043117692693498032799900398152718460010811961756960974473188481293324168868678927 has 178 digits

GMP-ECM 6.3

3148233337922065699166236308825382058724952048167808627129504038335304289041448140543696097100377453873995106084037267426227912047464976665497840866256031223031776634272101102993330991474562730846111329848644850869173<217>

265965030756997759227631819196536723522160066428754916052624108381305946988903294032957187091714630202435236077447258019194874334066947121575382822241059491256108522313770314400854222999988833107222174737342860941024290149091<225>

1739697810017925548020291993227620270462534654842859408930458125762168020983727462134719183825304847702732252114379028393620808047835087652312525287405439596070471047674257371703047843143829647485141273980078835620252673782991<226>

51718371374820298438576689273976426804754624326641364650455986887614740285858441722822354891476349153604554324004010001361150221999072353167591734986846527246674474084041029871362513115673429536189750030171585603<212>

27359442682640633983921698761921896510117<41>
1890329857034523086903372598876659695220628700401791133317949709221042407096188269885069260285760012958226860754869251006220238571702868225569867166238079034024689071081159<172>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=151272034
Step 1 took 10031ms
Step 2 took 5959ms
********** Factor found in step 2: 27359442682640633983921698761921896510117
Found probable prime factor of 41 digits: 27359442682640633983921698761921896510117
Probable prime cofactor 1890329857034523086903372598876659695220628700401791133317949709221042407096188269885069260285760012958226860754869251006220238571702868225569867166238079034024689071081159 has 172 digits

GMP-ECM 6.3

1898860618524064609903213201256243725426694750263541717793913077904089057818327838487915996975740994506262688397649807052649820320471049721272631295007350311151210923117157203914102535776437523394165815069220798623<214>

359919666328906522449028152559413119<36>

5275790116978000389000771225647646223435078291625228704490747418984574130432593828544078074355984084469605537280137304106368759419276435793665460699196657369026440915063699912417<178>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3883657530
Step 1 took 9329ms
Step 2 took 5772ms
********** Factor found in step 2: 359919666328906522449028152559413119
Found probable prime factor of 36 digits: 359919666328906522449028152559413119
Composite cofactor 5275790116978000389000771225647646223435078291625228704490747418984574130432593828544078074355984084469605537280137304106368759419276435793665460699196657369026440915063699912417 has 178 digits

GMP-ECM 6.3

410707654026822685026562517524184757154092930820876649168940960300840197285001256607456839759407456271087271111439677234332569259132361125130458916834385455767812430446263879351783268939112116397076582918637076127980928000262852898577166518417<243>

6723329334762506278232003321738434716355794140654687297047576631538046661301967036705783772505084323867221796454462618896584256491704174440192972998566353455197814959340536553228844003425070834799859544478405015272689057887529405838440930263637<244>

63538470336461143868652036107060956475677876475798920613089205269515764063392191338627973603611390820615020803465345110693983068010577849883247739457585938617301459614693966344959136847065376415044239695321443512973983465615627<227>