83933075026088564158802905558904685410528441334136397459992086120658265398124332973<83>

2853760923991419166283650344275300569217<40>
29411389833138292142487757356032157119521069<44>

Msieve v. 1.46
Fri Aug 13 00:47:25 2010
random seeds: cd1e763a 83ef7096
factoring 83933075026088564158802905558904685410528441334136397459992086120658265398124332973 (83 digits)
searching for 15-digit factors
searching for 20-digit factors
commencing quadratic sieve (83-digit input)
using multiplier of 5
using 32kb Intel Core sieve core
sieve interval: 12 blocks of size 32768
processing polynomials in batches of 17
using a sieve bound of 1381901 (52941 primes)
using large prime bound of 121607288 (26 bits)
using trial factoring cutoff of 27 bits
polynomial 'A' values have 11 factors

sieving in progress (press Ctrl-C to pause)
53159 relations (26999 full + 26160 combined from 279294 partial), need 53037
53159 relations (26999 full + 26160 combined from 279294 partial), need 53037
sieving complete, commencing postprocessing
begin with 306292 relations
reduce to 76006 relations in 2 passes
attempting to read 76006 relations
recovered 76006 relations
recovered 69537 polynomials
attempting to build 53159 cycles
found 53159 cycles in 1 passes
distribution of cycle lengths:
   length 1 : 26999
   length 2 : 26160
largest cycle: 2 relations
matrix is 52941 x 53159 (8.1 MB) with weight 1707674 (32.12/col)
sparse part has weight 1707674 (32.12/col)
filtering completed in 4 passes
matrix is 39082 x 39146 (6.5 MB) with weight 1387430 (35.44/col)
sparse part has weight 1387430 (35.44/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 39034 x 39146 (4.2 MB) with weight 1030340 (26.32/col)
sparse part has weight 721105 (18.42/col)
using block size 15613 for processor cache size 8192 kB
commencing Lanczos iteration
memory use: 2.5 MB
lanczos halted after 618 iterations (dim = 39030)
recovered 15 nontrivial dependencies
prp40 factor: 2853760923991419166283650344275300569217
prp44 factor: 29411389833138292142487757356032157119521069
elapsed time 00:44:06

2107703405529729725627314586133644660586631635116536589724958063210694092100998954487140599241<94>

402855439116391445531523841148882828707<39>
5231910012566021620410348401448419012676535962915360163<55>

Number: 94441_102
N=2107703405529729725627314586133644660586631635116536589724958063210694092100998954487140599241
  ( 94 digits)
SNFS difficulty: 103 digits.
Divisors found:
 r1=402855439116391445531523841148882828707 (pp39)
 r2=5231910012566021620410348401448419012676535962915360163 (pp55)
Version: Msieve-1.40
Total time: 0.50 hours.
Scaled time: 1.04 units (timescale=2.065).
Factorization parameters were as follows:
name: 94441_102
n: 2107703405529729725627314586133644660586631635116536589724958063210694092100998954487140599241
m: 10000000000000000000000000
deg: 4
c4: 8500
c0: -31
skew: 0.25
type: snfs
lss: 1
rlim: 380000
alim: 380000
lpbr: 25
lpba: 25
mfbr: 43
mfba: 43
rlambda: 2.2
alambda: 2.2
Factor base limits: 380000/380000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [190000, 250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 33749 x 33976
Total sieving time: 0.48 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,103.000,4,0,0,0,0,0,0,0,0,380000,380000,25,25,43,43,2.2,2.2,10000
total time: 0.50 hours.
 --------- CPU info (if available) ----------

15678262863230766137682077661260617181273366375733442970503285149420300841885825725225716261438906697551<104>

100171490650874933207592711797602217918987<42>
156514221375359224006319195561676872114761504840187073455914573<63>

N=15678262863230766137682077661260617181273366375733442970503285149420300841885825725225716261438906697551
  ( 104 digits)
SNFS difficulty: 109 digits.
Divisors found:
 r1=100171490650874933207592711797602217918987 (pp42)
 r2=156514221375359224006319195561676872114761504840187073455914573 (pp63)
Version: Msieve-1.40
Total time: 0.61 hours.
Scaled time: 1.19 units (timescale=1.963).
Factorization parameters were as follows:
n: 15678262863230766137682077661260617181273366375733442970503285149420300841885825725225716261438906697551
m: 1000000000000000000000
deg: 5
c5: 85000
c0: -31
skew: 0.21
type: snfs
lss: 1
rlim: 480000
alim: 480000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2Factor base limits: 480000/480000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [240000, 390001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 49943 x 50169
Total sieving time: 0.59 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,109.000,5,0,0,0,0,0,0,0,0,480000,480000,25,25,44,44,2.2,2.2,50000
total time: 0.61 hours.
 --------- CPU info (if available) ----------

92470490204663740983143385527314445633782395259800796000787325966186527951672202829508233931<92>

590984825508573650536045967659276207290533<42>
156468467908779216226056872439598624338166609439407<51>

Number: 94441_118
N=92470490204663740983143385527314445633782395259800796000787325966186527951672202829508233931
  ( 92 digits)
SNFS difficulty: 119 digits.
Divisors found:
 r1=590984825508573650536045967659276207290533 (pp42)
 r2=156468467908779216226056872439598624338166609439407 (pp51)
Version: Msieve-1.40
Total time: 1.99 hours.
Scaled time: 4.14 units (timescale=2.078).
Factorization parameters were as follows:
name: 94441_118
n: 92470490204663740983143385527314445633782395259800796000787325966186527951672202829508233931
m: 100000000000000000000000
deg: 5
c5: 85000
c0: -31
skew: 0.21
type: snfs
lss: 1
rlim: 700000
alim: 700000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [350000, 650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 83914 x 84140
Total sieving time: 1.85 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,119.000,5,0,0,0,0,0,0,0,0,700000,700000,25,25,45,45,2.2,2.2,50000
total time: 1.99 hours.
 --------- CPU info (if available) ----------

1037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851<121>

5328192600193848576417363346553<31>
194784820243412201527015664705792688954935891672806496416611253249552775588445129500479667<90>

N=1037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851
  ( 121 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=5328192600193848576417363346553 (pp31)
 r2=194784820243412201527015664705792688954935891672806496416611253249552775588445129500479667 (pp90)
Version: Msieve v. 1.46
Total time: 0.42 hours.
Scaled time: 0.73 units (timescale=1.754).
Factorization parameters were as follows:
n: 1037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851
m: 1000000000000000000000000
deg: 5
c5: 850
c0: -31
skew: 0.52
type: snfs
lss: 1
rlim: 780000
alim: 780000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2

Factor base limits: 780000/780000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [390000, 690001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 83753 x 83978
Total sieving time: 0.39 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,122.000,5,0,0,0,0,0,0,0,0,780000,780000,25,25,46,46,2.2,2.2,50000
total time: 0.42 hours.

8316523184070404806259792279366223898180121716115565269908559904880310514493701109<82>

162378747539093068082284097291480340341<39>
51216820612981893773249849541060741579768449<44>

Fri Aug 13 12:31:29 2010  Msieve v. 1.46
Fri Aug 13 12:31:29 2010  random seeds: ec5d3230 9ab71564
Fri Aug 13 12:31:29 2010  factoring 8316523184070404806259792279366223898180121716115565269908559904880310514493701109 (82 digits)
Fri Aug 13 12:31:30 2010  searching for 15-digit factors
Fri Aug 13 12:31:31 2010  commencing quadratic sieve (82-digit input)
Fri Aug 13 12:31:31 2010  using multiplier of 1
Fri Aug 13 12:31:31 2010  using 64kb Pentium 4 sieve core
Fri Aug 13 12:31:31 2010  sieve interval: 6 blocks of size 65536
Fri Aug 13 12:31:31 2010  processing polynomials in batches of 17
Fri Aug 13 12:31:31 2010  using a sieve bound of 1355269 (52059 primes)
Fri Aug 13 12:31:31 2010  using large prime bound of 124684748 (26 bits)
Fri Aug 13 12:31:31 2010  using trial factoring cutoff of 27 bits
Fri Aug 13 12:31:31 2010  polynomial 'A' values have 10 factors
Fri Aug 13 13:05:41 2010  52273 relations (26458 full + 25815 combined from 278889 partial), need 52155
Fri Aug 13 13:05:41 2010  begin with 305347 relations
Fri Aug 13 13:05:42 2010  reduce to 74788 relations in 2 passes
Fri Aug 13 13:05:42 2010  attempting to read 74788 relations
Fri Aug 13 13:05:42 2010  recovered 74788 relations
Fri Aug 13 13:05:42 2010  recovered 66652 polynomials
Fri Aug 13 13:05:43 2010  attempting to build 52273 cycles
Fri Aug 13 13:05:43 2010  found 52273 cycles in 1 passes
Fri Aug 13 13:05:43 2010  distribution of cycle lengths:
Fri Aug 13 13:05:43 2010     length 1 : 26458
Fri Aug 13 13:05:43 2010     length 2 : 25815
Fri Aug 13 13:05:43 2010  largest cycle: 2 relations
Fri Aug 13 13:05:43 2010  matrix is 52059 x 52273 (6.9 MB) with weight 1587929 (30.38/col)
Fri Aug 13 13:05:43 2010  sparse part has weight 1587929 (30.38/col)
Fri Aug 13 13:05:43 2010  filtering completed in 3 passes
Fri Aug 13 13:05:43 2010  matrix is 37870 x 37932 (5.5 MB) with weight 1288516 (33.97/col)
Fri Aug 13 13:05:43 2010  sparse part has weight 1288516 (33.97/col)
Fri Aug 13 13:05:43 2010  saving the first 48 matrix rows for later
Fri Aug 13 13:05:43 2010  matrix includes 64 packed rows
Fri Aug 13 13:05:43 2010  matrix is 37822 x 37932 (4.2 MB) with weight 1054684 (27.80/col)
Fri Aug 13 13:05:43 2010  sparse part has weight 876885 (23.12/col)
Fri Aug 13 13:05:43 2010  using block size 15128 for processor cache size 512 kB
Fri Aug 13 13:05:44 2010  commencing Lanczos iteration
Fri Aug 13 13:05:44 2010  memory use: 2.7 MB
Fri Aug 13 13:05:55 2010  lanczos halted after 600 iterations (dim = 37816)
Fri Aug 13 13:05:55 2010  recovered 13 nontrivial dependencies
Fri Aug 13 13:05:56 2010  prp39 factor: 162378747539093068082284097291480340341
Fri Aug 13 13:05:56 2010  prp44 factor: 51216820612981893773249849541060741579768449
Fri Aug 13 13:05:56 2010  elapsed time 00:34:27

14641085073762622642344240012549269680588659633655013488735217455722706149625094150628466686816916693<101>

10479258395226771054706866289975691183479217<44>
1397148970048446801070004705366957669450426941806201328229<58>

N=14641085073762622642344240012549269680588659633655013488735217455722706149625094150628466686816916693
  ( 101 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=10479258395226771054706866289975691183479217 (pp44)
 r2=1397148970048446801070004705366957669450426941806201328229 (pp58)
Version: Msieve-1.40
Total time: 3.83 hours.
Scaled time: 7.60 units (timescale=1.988).
Factorization parameters were as follows:
n: 14641085073762622642344240012549269680588659633655013488735217455722706149625094150628466686816916693
m: 500000000000000000000000000
deg: 5
c5: 272
c0: -31
skew: 0.65
type: snfs
lss: 1
rlim: 1290000
alim: 1290000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1290000/1290000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [645000, 1395001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 156507 x 156733
Total sieving time: 3.71 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,135.000,5,0,0,0,0,0,0,0,0,1290000,1290000,26,26,47,47,2.3,2.3,75000
total time: 3.83 hours.
 --------- CPU info (if available) ----------

82466971512231347897705152755384501700594896518494814080340350570018471330985666694169<86>

98378683756045517496458486889698911292147<41>
838260569908912091494917587759159775630194627<45>

Fri Aug 13 13:52:21 2010  Msieve v. 1.46
Fri Aug 13 13:52:21 2010  random seeds: a901eee0 2c04168c
Fri Aug 13 13:52:21 2010  factoring 82466971512231347897705152755384501700594896518494814080340350570018471330985666694169 (86 digits)
Fri Aug 13 13:52:22 2010  searching for 15-digit factors
Fri Aug 13 13:52:23 2010  commencing quadratic sieve (86-digit input)
Fri Aug 13 13:52:23 2010  using multiplier of 1
Fri Aug 13 13:52:23 2010  using 64kb Pentium 4 sieve core
Fri Aug 13 13:52:23 2010  sieve interval: 9 blocks of size 65536
Fri Aug 13 13:52:23 2010  processing polynomials in batches of 12
Fri Aug 13 13:52:23 2010  using a sieve bound of 1470947 (55844 primes)
Fri Aug 13 13:52:23 2010  using large prime bound of 117675760 (26 bits)
Fri Aug 13 13:52:23 2010  using double large prime bound of 336694943593840 (41-49 bits)
Fri Aug 13 13:52:23 2010  using trial factoring cutoff of 49 bits
Fri Aug 13 13:52:23 2010  polynomial 'A' values have 11 factors
Fri Aug 13 15:07:09 2010  55972 relations (15471 full + 40501 combined from 591261 partial), need 55940
Fri Aug 13 15:07:10 2010  begin with 606732 relations
Fri Aug 13 15:07:10 2010  reduce to 134415 relations in 9 passes
Fri Aug 13 15:07:10 2010  attempting to read 134415 relations
Fri Aug 13 15:07:12 2010  recovered 134415 relations
Fri Aug 13 15:07:12 2010  recovered 114486 polynomials
Fri Aug 13 15:07:12 2010  attempting to build 55972 cycles
Fri Aug 13 15:07:13 2010  found 55972 cycles in 5 passes
Fri Aug 13 15:07:13 2010  distribution of cycle lengths:
Fri Aug 13 15:07:13 2010     length 1 : 15471
Fri Aug 13 15:07:13 2010     length 2 : 11002
Fri Aug 13 15:07:13 2010     length 3 : 9758
Fri Aug 13 15:07:13 2010     length 4 : 7376
Fri Aug 13 15:07:13 2010     length 5 : 5098
Fri Aug 13 15:07:13 2010     length 6 : 3155
Fri Aug 13 15:07:13 2010     length 7 : 1884
Fri Aug 13 15:07:13 2010     length 9+: 2228
Fri Aug 13 15:07:13 2010  largest cycle: 18 relations
Fri Aug 13 15:07:13 2010  matrix is 55844 x 55972 (12.4 MB) with weight 3017857 (53.92/col)
Fri Aug 13 15:07:13 2010  sparse part has weight 3017857 (53.92/col)
Fri Aug 13 15:07:14 2010  filtering completed in 3 passes
Fri Aug 13 15:07:14 2010  matrix is 51624 x 51688 (11.5 MB) with weight 2813496 (54.43/col)
Fri Aug 13 15:07:14 2010  sparse part has weight 2813496 (54.43/col)
Fri Aug 13 15:07:14 2010  saving the first 48 matrix rows for later
Fri Aug 13 15:07:14 2010  matrix includes 64 packed rows
Fri Aug 13 15:07:14 2010  matrix is 51576 x 51688 (6.8 MB) with weight 2138753 (41.38/col)
Fri Aug 13 15:07:14 2010  sparse part has weight 1471545 (28.47/col)
Fri Aug 13 15:07:14 2010  using block size 20630 for processor cache size 512 kB
Fri Aug 13 15:07:15 2010  commencing Lanczos iteration
Fri Aug 13 15:07:15 2010  memory use: 4.7 MB
Fri Aug 13 15:07:38 2010  lanczos halted after 817 iterations (dim = 51572)
Fri Aug 13 15:07:38 2010  recovered 15 nontrivial dependencies
Fri Aug 13 15:07:39 2010  prp41 factor: 98378683756045517496458486889698911292147
Fri Aug 13 15:07:39 2010  prp45 factor: 838260569908912091494917587759159775630194627
Fri Aug 13 15:07:39 2010  elapsed time 01:15:18

2040737354058902381349779418869135828338492669637154043315964771937475740841804884134582441897846884316851<106>

3937453202620953597844147687190773165353339563<46>
518288662504100835189057010729584484782309007580799514903577<60>

Number: 94441_137
N=2040737354058902381349779418869135828338492669637154043315964771937475740841804884134582441897846884316851
  ( 106 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=3937453202620953597844147687190773165353339563 (pp46)
 r2=518288662504100835189057010729584484782309007580799514903577 (pp60)
Version: Msieve-1.40
Total time: 7.39 hours.
Scaled time: 15.56 units (timescale=2.105).
Factorization parameters were as follows:
name: 94441_137
n: 2040737354058902381349779418869135828338492669637154043315964771937475740841804884134582441897846884316851
m: 1000000000000000000000000000
deg: 5
c5: 8500
c0: -31
skew: 0.33
type: snfs
lss: 1
rlim: 1450000
alim: 1450000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1450000/1450000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [725000, 1700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 234526 x 234760
Total sieving time: 7.00 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.19 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,138.000,5,0,0,0,0,0,0,0,0,1450000,1450000,26,26,48,48,2.3,2.3,75000
total time: 7.39 hours.
 --------- CPU info (if available) ----------

1801135066843194855076752404298118536428158030234616065705237719845221894860626367392606738919305822203007289532652703462415174219663<133>

19991188585316617511969755516702947442190098758571<50>
90096447200048697961245236272841415338617747576833215513549005535048837408671297453<83>

Number: 94441_138
N=1801135066843194855076752404298118536428158030234616065705237719845221894860626367392606738919305822203007289532652703462415174219663
  ( 133 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=19991188585316617511969755516702947442190098758571 (pp50)
 r2=90096447200048697961245236272841415338617747576833215513549005535048837408671297453 (pp83)
Version: Msieve-1.40
Total time: 7.68 hours.
Scaled time: 16.11 units (timescale=2.099).
Factorization parameters were as follows:
name: 94441_138
n: 1801135066843194855076752404298118536428158030234616065705237719845221894860626367392606738919305822203007289532652703462415174219663
m: 1000000000000000000000000000
deg: 5
c5: 85000
c0: -31
skew: 0.21
type: snfs
lss: 1
rlim: 1500000
alim: 1500000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [750000, 1725001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 250414 x 250646
Total sieving time: 7.12 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.20 hours.
Time per square root: 0.29 hours.
Prototype def-par.txt line would be:
snfs,139.000,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,48,48,2.3,2.3,75000
total time: 7.68 hours.
 --------- CPU info (if available) ----------

29548377065762740682052138851478989483701410020088872217851008780253637184791890374493300579692465326768849455088680740749336959<128>

6670992442285297905526309373505792977222114483<46>
4429382482652053818198072474107248007646041153845149418083813290730519885360915973<82>

N=29548377065762740682052138851478989483701410020088872217851008780253637184791890374493300579692465326768849455088680740749336959
  ( 128 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=6670992442285297905526309373505792977222114483 (pp46)
 r2=4429382482652053818198072474107248007646041153845149418083813290730519885360915973 (pp82)
Version: Msieve-1.40
Total time: 4.70 hours.
Scaled time: 9.25 units (timescale=1.970).
Factorization parameters were as follows:
n: 29548377065762740682052138851478989483701410020088872217851008780253637184791890374493300579692465326768849455088680740749336959
m: 5000000000000000000000000000
deg: 5
c5: 272
c0: -31
skew: 0.65
type: snfs
lss: 1
rlim: 1560000
alim: 1560000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1560000/1560000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [780000, 1680001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 208526 x 208751
Total sieving time: 4.60 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,140.000,5,0,0,0,0,0,0,0,0,1560000,1560000,26,26,48,48,2.3,2.3,100000
total time: 4.70 hours.
 --------- CPU info (if available) ----------

1782619739325013535048821711666275051723318207998195741818839463668081318331780601528998081380314159180348998751<112>

869453226492108831576216151473623458072049<42>
2050276754411690729671762599304026364251187139817859718942412354789199<70>

Number: 94441_140
N=1782619739325013535048821711666275051723318207998195741818839463668081318331780601528998081380314159180348998751
  ( 112 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=869453226492108831576216151473623458072049 (pp42)
 r2=2050276754411690729671762599304026364251187139817859718942412354789199 (pp70)
Version: Msieve-1.40
Total time: 6.57 hours.
Scaled time: 13.83 units (timescale=2.105).
Factorization parameters were as follows:
name: 94441_140
n: 1782619739325013535048821711666275051723318207998195741818839463668081318331780601528998081380314159180348998751
m: 10000000000000000000000000000
deg: 5
c5: 85
c0: -31
skew: 0.82
type: snfs
lss: 1
rlim: 1620000
alim: 1620000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1620000/1620000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [810000, 1610001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 270567 x 270815
Total sieving time: 6.13 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.24 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,141.000,5,0,0,0,0,0,0,0,0,1620000,1620000,26,26,48,48,2.3,2.3,100000
total time: 6.57 hours.
 --------- CPU info (if available) ----------

14335378523042516050637569441249218781166278752199075455618896336651601312815613110077509554112483877428886349317541673270655576043<131>

5452092273192810521391869501643229527360539632430047171018811<61>
2629335272538875562391883155204166796660717719749081166913114687466513<70>

N=14335378523042516050637569441249218781166278752199075455618896336651601312815613110077509554112483877428886349317541673270655576043
  ( 131 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=5452092273192810521391869501643229527360539632430047171018811 (pp61)
 r2=2629335272538875562391883155204166796660717719749081166913114687466513 (pp70)
Version: Msieve-1.40
Total time: 7.20 hours.
Scaled time: 14.01 units (timescale=1.946).
Factorization parameters were as follows:
n: 14335378523042516050637569441249218781166278752199075455618896336651601312815613110077509554112483877428886349317541673270655576043
m: 10000000000000000000000000000
deg: 5
c5: 8500
c0: -31
skew: 0.33
type: snfs
lss: 1
rlim: 1750000
alim: 1750000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1750000/1750000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [875000, 2275001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 331199 x 331447
Total sieving time: 7.00 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,143.000,5,0,0,0,0,0,0,0,0,1750000,1750000,26,26,48,48,2.3,2.3,100000
total time: 7.20 hours.
 --------- CPU info (if available) ----------

4787803223545498370832918110166441177037080508395143213486626764183808457044044100648407717428445989246450751811801093<118>

305533446953002413131712385871540593394729295217<48>
15670308017969518843415740598014835639692328953022229276338147821609429<71>

N=4787803223545498370832918110166441177037080508395143213486626764183808457044044100648407717428445989246450751811801093
  ( 118 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=305533446953002413131712385871540593394729295217 (pp48)
 r2=15670308017969518843415740598014835639692328953022229276338147821609429 (pp71)
Version: Msieve-1.40
Total time: 6.53 hours.
Scaled time: 12.94 units (timescale=1.982).
Factorization parameters were as follows:
n: 4787803223545498370832918110166441177037080508395143213486626764183808457044044100648407717428445989246450751811801093
m: 50000000000000000000000000000
deg: 5
c5: 272
c0: -31
skew: 0.65
type: snfs
lss: 1
rlim: 1890000
alim: 1890000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1890000/1890000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [945000, 2145001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 299897 x 300122
Total sieving time: 6.36 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,145.000,5,0,0,0,0,0,0,0,0,1890000,1890000,26,26,49,49,2.3,2.3,100000
total time: 6.53 hours.
 --------- CPU info (if available) ----------

5547330159332712322165159958928148938680041863622806637626166835594503828899424510862242827873738215536695822097438074033226082869<130>

309967265130046583346504011061857121336373<42>
17896503222704285319299021730722952005875974338028448472730920737488899964788943619978753<89>

N=5547330159332712322165159958928148938680041863622806637626166835594503828899424510862242827873738215536695822097438074033226082869
  ( 130 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=309967265130046583346504011061857121336373 (pp42)
 r2=17896503222704285319299021730722952005875974338028448472730920737488899964788943619978753 (pp89)
Version: Msieve-1.40
Total time: 9.26 hours.
Scaled time: 18.40 units (timescale=1.988).
Factorization parameters were as follows:
n: 5547330159332712322165159958928148938680041863622806637626166835594503828899424510862242827873738215536695822097438074033226082869
m: 100000000000000000000000000000
deg: 5
c5: 850
c0: -31
skew: 0.52
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 2700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 288534 x 288759
Total sieving time: 9.09 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,147.000,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,100000
total time: 9.26 hours.
 --------- CPU info (if available) ----------

528925839758774640753466805647207410059180355502903707218716103494439086412841906723916203601414829045325316141717484825398849039481<132>

39226133684722433632715648560503457<35>
13484016650990449258488625148948029206066250829732624199644691309162041778538990520832481178262233<98>

N=528925839758774640753466805647207410059180355502903707218716103494439086412841906723916203601414829045325316141717484825398849039481
  ( 132 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=39226133684722433632715648560503457 (pp35)
 r2=13484016650990449258488625148948029206066250829732624199644691309162041778538990520832481178262233 (pp98)
Version: Msieve-1.40
Total time: 11.95 hours.
Scaled time: 23.69 units (timescale=1.982).
Factorization parameters were as follows:
n: 528925839758774640753466805647207410059180355502903707218716103494439086412841906723916203601414829045325316141717484825398849039481
m: 100000000000000000000000000000
deg: 5
c5: 85000
c0: -31
skew: 0.21
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1100000, 3300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 386658 x 386884
Total sieving time: 11.68 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.19 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,149.000,5,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000
total time: 11.95 hours.
 --------- CPU info (if available) ----------

196267404964609407891025686762162997031905760427554456642810017238974337944439745571866762325090818123590785600927268818297737699511878345796429<144>

5040278692489315652065459225765392640864504657<46>
38939792209719255356333264426762138870697485162412915882558011766239192928091674977166425863547197<98>

Number: 94441_149
N=196267404964609407891025686762162997031905760427554456642810017238974337944439745571866762325090818123590785600927268818297737699511878345796429
  ( 144 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=5040278692489315652065459225765392640864504657 (pp46)
 r2=38939792209719255356333264426762138870697485162412915882558011766239192928091674977166425863547197 (pp98)
Version: Msieve-1.40
Total time: 16.96 hours.
Scaled time: 35.95 units (timescale=2.120).
Factorization parameters were as follows:
name: 94441_149
n: 196267404964609407891025686762162997031905760427554456642810017238974337944439745571866762325090818123590785600927268818297737699511878345796429
m: 500000000000000000000000000000
deg: 5
c5: 272
c0: -31
skew: 0.65
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1150000, 1850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 365510 x 365758
Total sieving time: 16.32 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.44 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,150.000,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 16.96 hours.
 --------- CPU info (if available) ----------

13257948665480220312450428321147318692611269889699425983293190340831604663179863606859427104770291857686678444114380456343<122>

602273546066127768069471069886694968483<39>
22013167857159276017608557316536490732808111868014973883034958867309958682387575421<83>

Sun Aug 15 20:52:35 2010  
Sun Aug 15 20:52:35 2010  
Sun Aug 15 20:52:35 2010  Msieve v. 1.42
Sun Aug 15 20:52:35 2010  random seeds: aeb4e380 b03ce4f0
Sun Aug 15 20:52:35 2010  factoring 13257948665480220312450428321147318692611269889699425983293190340831604663179863606859427104770291857686678444114380456343 (122 digits)
Sun Aug 15 20:52:36 2010  searching for 15-digit factors
Sun Aug 15 20:52:37 2010  commencing number field sieve (122-digit input)
Sun Aug 15 20:52:37 2010  R0: -1000000000000000000000000000000
Sun Aug 15 20:52:37 2010  R1:  1
Sun Aug 15 20:52:37 2010  A0: -31
Sun Aug 15 20:52:37 2010  A1:  0
Sun Aug 15 20:52:37 2010  A2:  0
Sun Aug 15 20:52:37 2010  A3:  0
Sun Aug 15 20:52:37 2010  A4:  0
Sun Aug 15 20:52:37 2010  A5:  85
Sun Aug 15 20:52:37 2010  skew 0.82, size 1.125136e-010, alpha 0.543925, combined = 1.334647e-009
Sun Aug 15 20:52:37 2010  
Sun Aug 15 20:52:37 2010  commencing relation filtering
Sun Aug 15 20:52:37 2010  estimated available RAM is 4096.0 MB
Sun Aug 15 20:52:37 2010  commencing duplicate removal, pass 1
Sun Aug 15 20:53:33 2010  found 647908 hash collisions in 6971647 relations
Sun Aug 15 20:53:47 2010  commencing duplicate removal, pass 2
Sun Aug 15 20:53:59 2010  found 385312 duplicates and 6586335 unique relations
Sun Aug 15 20:53:59 2010  memory use: 24.6 MB
Sun Aug 15 20:53:59 2010  reading ideals above 100000
Sun Aug 15 20:53:59 2010  commencing singleton removal, initial pass
Sun Aug 15 20:55:19 2010  memory use: 149.2 MB
Sun Aug 15 20:55:20 2010  reading all ideals from disk
Sun Aug 15 20:55:20 2010  memory use: 221.6 MB
Sun Aug 15 20:55:21 2010  keeping 7807458 ideals with weight <= 200, target excess is 34881
Sun Aug 15 20:55:23 2010  commencing in-memory singleton removal
Sun Aug 15 20:55:24 2010  begin with 6586335 relations and 7807458 unique ideals
Sun Aug 15 20:55:32 2010  reduce to 2103464 relations and 1963475 ideals in 16 passes
Sun Aug 15 20:55:32 2010  max relations containing the same ideal: 96
Sun Aug 15 20:55:34 2010  removing 357720 relations and 307956 ideals in 49764 cliques
Sun Aug 15 20:55:34 2010  commencing in-memory singleton removal
Sun Aug 15 20:55:34 2010  begin with 1745744 relations and 1963475 unique ideals
Sun Aug 15 20:55:37 2010  reduce to 1703668 relations and 1612139 ideals in 9 passes
Sun Aug 15 20:55:37 2010  max relations containing the same ideal: 79
Sun Aug 15 20:55:38 2010  removing 270883 relations and 221119 ideals in 49764 cliques
Sun Aug 15 20:55:38 2010  commencing in-memory singleton removal
Sun Aug 15 20:55:38 2010  begin with 1432785 relations and 1612139 unique ideals
Sun Aug 15 20:55:40 2010  reduce to 1400686 relations and 1358042 ideals in 9 passes
Sun Aug 15 20:55:40 2010  max relations containing the same ideal: 69
Sun Aug 15 20:55:41 2010  relations with 0 large ideals: 826
Sun Aug 15 20:55:41 2010  relations with 1 large ideals: 267
Sun Aug 15 20:55:41 2010  relations with 2 large ideals: 4108
Sun Aug 15 20:55:41 2010  relations with 3 large ideals: 31982
Sun Aug 15 20:55:41 2010  relations with 4 large ideals: 130823
Sun Aug 15 20:55:41 2010  relations with 5 large ideals: 302421
Sun Aug 15 20:55:41 2010  relations with 6 large ideals: 423949
Sun Aug 15 20:55:41 2010  relations with 7+ large ideals: 506310
Sun Aug 15 20:55:41 2010  commencing 2-way merge
Sun Aug 15 20:55:43 2010  reduce to 828717 relation sets and 786073 unique ideals
Sun Aug 15 20:55:43 2010  commencing full merge
Sun Aug 15 20:56:05 2010  memory use: 79.9 MB
Sun Aug 15 20:56:05 2010  found 406821 cycles, need 400273
Sun Aug 15 20:56:05 2010  weight of 400273 cycles is about 28343033 (70.81/cycle)
Sun Aug 15 20:56:05 2010  distribution of cycle lengths:
Sun Aug 15 20:56:05 2010  1 relations: 42153
Sun Aug 15 20:56:05 2010  2 relations: 41512
Sun Aug 15 20:56:05 2010  3 relations: 42994
Sun Aug 15 20:56:05 2010  4 relations: 40502
Sun Aug 15 20:56:05 2010  5 relations: 38149
Sun Aug 15 20:56:05 2010  6 relations: 33547
Sun Aug 15 20:56:05 2010  7 relations: 29506
Sun Aug 15 20:56:05 2010  8 relations: 25844
Sun Aug 15 20:56:05 2010  9 relations: 21762
Sun Aug 15 20:56:05 2010  10+ relations: 84304
Sun Aug 15 20:56:05 2010  heaviest cycle: 22 relations
Sun Aug 15 20:56:06 2010  commencing cycle optimization
Sun Aug 15 20:56:06 2010  start with 2501961 relations
Sun Aug 15 20:56:13 2010  pruned 58587 relations
Sun Aug 15 20:56:13 2010  memory use: 65.2 MB
Sun Aug 15 20:56:13 2010  distribution of cycle lengths:
Sun Aug 15 20:56:13 2010  1 relations: 42153
Sun Aug 15 20:56:13 2010  2 relations: 42347
Sun Aug 15 20:56:13 2010  3 relations: 44347
Sun Aug 15 20:56:13 2010  4 relations: 41448
Sun Aug 15 20:56:13 2010  5 relations: 39148
Sun Aug 15 20:56:13 2010  6 relations: 34072
Sun Aug 15 20:56:13 2010  7 relations: 29979
Sun Aug 15 20:56:13 2010  8 relations: 25849
Sun Aug 15 20:56:13 2010  9 relations: 21777
Sun Aug 15 20:56:13 2010  10+ relations: 79153
Sun Aug 15 20:56:13 2010  heaviest cycle: 22 relations
Sun Aug 15 20:56:14 2010  RelProcTime: 217
Sun Aug 15 20:56:14 2010  
Sun Aug 15 20:56:14 2010  commencing linear algebra
Sun Aug 15 20:56:14 2010  read 400273 cycles
Sun Aug 15 20:56:16 2010  cycles contain 1350746 unique relations
Sun Aug 15 20:56:52 2010  read 1350746 relations
Sun Aug 15 20:56:54 2010  using 20 quadratic characters above 134208128
Sun Aug 15 20:57:00 2010  building initial matrix
Sun Aug 15 20:57:16 2010  memory use: 144.7 MB
Sun Aug 15 20:57:17 2010  read 400273 cycles
Sun Aug 15 20:57:31 2010  matrix is 400093 x 400273 (114.5 MB) with weight 36075044 (90.13/col)
Sun Aug 15 20:57:31 2010  sparse part has weight 27202874 (67.96/col)
Sun Aug 15 20:57:36 2010  filtering completed in 2 passes
Sun Aug 15 20:57:36 2010  matrix is 399444 x 399623 (114.4 MB) with weight 36051494 (90.21/col)
Sun Aug 15 20:57:36 2010  sparse part has weight 27193995 (68.05/col)
Sun Aug 15 20:57:38 2010  read 399623 cycles
Sun Aug 15 20:58:35 2010  matrix is 399444 x 399623 (114.4 MB) with weight 36051494 (90.21/col)
Sun Aug 15 20:58:35 2010  sparse part has weight 27193995 (68.05/col)
Sun Aug 15 20:58:35 2010  saving the first 48 matrix rows for later
Sun Aug 15 20:58:35 2010  matrix is 399396 x 399623 (107.6 MB) with weight 28541319 (71.42/col)
Sun Aug 15 20:58:35 2010  sparse part has weight 25816356 (64.60/col)
Sun Aug 15 20:58:35 2010  matrix includes 64 packed rows
Sun Aug 15 20:58:35 2010  using block size 65536 for processor cache size 6144 kB
Sun Aug 15 20:58:38 2010  commencing Lanczos iteration
Sun Aug 15 20:58:38 2010  memory use: 109.8 MB
Sun Aug 15 21:23:26 2010  lanczos halted after 6318 iterations (dim = 399392)
Sun Aug 15 21:23:27 2010  recovered 35 nontrivial dependencies
Sun Aug 15 21:23:28 2010  BLanczosTime: 1634
Sun Aug 15 21:23:28 2010  
Sun Aug 15 21:23:28 2010  commencing square root phase
Sun Aug 15 21:23:28 2010  reading relations for dependency 1
Sun Aug 15 21:23:28 2010  read 200213 cycles
Sun Aug 15 21:23:28 2010  cycles contain 835009 unique relations
Sun Aug 15 21:23:56 2010  read 835009 relations
Sun Aug 15 21:24:00 2010  multiplying 675370 relations
Sun Aug 15 21:24:41 2010  multiply complete, coefficients have about 18.45 million bits
Sun Aug 15 21:24:41 2010  initial square root is modulo 199411
Sun Aug 15 21:26:01 2010  reading relations for dependency 2
Sun Aug 15 21:26:02 2010  read 199597 cycles
Sun Aug 15 21:26:02 2010  cycles contain 835304 unique relations
Sun Aug 15 21:26:30 2010  read 835304 relations
Sun Aug 15 21:26:34 2010  multiplying 675200 relations
Sun Aug 15 21:27:15 2010  multiply complete, coefficients have about 18.45 million bits
Sun Aug 15 21:27:15 2010  initial square root is modulo 198841
Sun Aug 15 21:28:34 2010  reading relations for dependency 3
Sun Aug 15 21:28:34 2010  read 200031 cycles
Sun Aug 15 21:28:35 2010  cycles contain 834385 unique relations
Sun Aug 15 21:28:59 2010  read 834385 relations
Sun Aug 15 21:29:03 2010  multiplying 674982 relations
Sun Aug 15 21:29:43 2010  multiply complete, coefficients have about 18.44 million bits
Sun Aug 15 21:29:43 2010  initial square root is modulo 197891
Sun Aug 15 21:31:03 2010  sqrtTime: 455
Sun Aug 15 21:31:03 2010  prp39 factor: 602273546066127768069471069886694968483
Sun Aug 15 21:31:03 2010  prp83 factor: 22013167857159276017608557316536490732808111868014973883034958867309958682387575421
Sun Aug 15 21:31:03 2010  elapsed time 00:38:28

95574537861210229472800723828575647686235876369199946252638741958056094023301460003096193677769104945869820124649041239<119>

28035483987657156236986030361720715925200782521<47>
3409056105587036641258284385974993952360737850171098914659028024658172559<73>

N = 95574537861210229472800723828575647686235876369199946252638741958056094023301460003096193677769104945869820124649041239 (119 digits)
SNFS difficulty: 153 digits.
Divisors found:
r1=28035483987657156236986030361720715925200782521 (pp47)
r2=3409056105587036641258284385974993952360737850171098914659028024658172559 (pp73)
Version: Msieve v. 1.45
Total time: 14.75 hours.
Factorization parameters were as follows:
n: 95574537861210229472800723828575647686235876369199946252638741958056094023301460003096193677769104945869820124649041239
m: 1000000000000000000000000000000
deg: 5
c5: 850
c0: -31
skew: 0.52
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [1250000, 2050000)
Total raw relations: 8209566
Relations: 655930 relations
Pruned matrix : 396925 x 397151
Polynomial selection time: 0.00 hours.
Total sieving time: 14.09 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.49 hours.
time per square root: 0.08 hours.
Prototype def-par.txt line would be: snfs,153,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 14.75 hours.
 --------- CPU info (if available) ----------

ggnfs + msieve

147300583086376236030614299496966304553898808386815809887621837397607841782459987102465644691395897838821371509914881311637680456841597<135>

1990257184085714729629387008008651898208072759<46>
74010828481969904989743935428048730383293906262745941395478047969384806932552675096661483<89>

N=147300583086376236030614299496966304553898808386815809887621837397607841782459987102465644691395897838821371509914881311637680456841597
  ( 135 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=1990257184085714729629387008008651898208072759 (pp46)
 r2=74010828481969904989743935428048730383293906262745941395478047969384806932552675096661483 (pp89)
Version: Msieve-1.40
Total time: 17.64 hours.
Scaled time: 34.74 units (timescale=1.970).
Factorization parameters were as follows:
n: 147300583086376236030614299496966304553898808386815809887621837397607841782459987102465644691395897838821371509914881311637680456841597
m: 1000000000000000000000000000000
deg: 5
c5: 8500
c0: -31
skew: 0.33
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 2400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 521605 x 521832
Total sieving time: 17.18 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.33 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,153.000,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 17.64 hours.
 --------- CPU info (if available) ----------

574930966532803750588872686774085929790188741380066295610036316236416286682254685445720166118794866765620243843451181552383972927<129>

14325276012720722009740880995304892375554297083766071<53>
40134023667137023564981318732859167409736157515621796662445199258292359617337<77>

N=574930966532803750588872686774085929790188741380066295610036316236416286682254685445720166118794866765620243843451181552383972927
  ( 129 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=14325276012720722009740880995304892375554297083766071 (pp53)
 r2=40134023667137023564981318732859167409736157515621796662445199258292359617337 (pp77)
Version: Msieve-1.40
Total time: 15.15 hours.
Scaled time: 29.84 units (timescale=1.970).
Factorization parameters were as follows:
n: 574930966532803750588872686774085929790188741380066295610036316236416286682254685445720166118794866765620243843451181552383972927
m: 5000000000000000000000000000000
deg: 5
c5: 272
c0: -31
skew: 0.65
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 2300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 544855 x 545081
Total sieving time: 14.67 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.35 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,155.000,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 15.15 hours.
 --------- CPU info (if available) ----------

953612491371280762129135669514763770381247751574228771089948740709040913000614713381169252863682912916181858865166824773367722944071257<135>

416710327235176896649890148285099<33>
2288430185300147008236525022114948115625758948400387813774114076765796277700291849464694797420110988043<103>

N=953612491371280762129135669514763770381247751574228771089948740709040913000614713381169252863682912916181858865166824773367722944071257
  ( 135 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=416710327235176896649890148285099 (pp33)
 r2=2288430185300147008236525022114948115625758948400387813774114076765796277700291849464694797420110988043 (pp103)
Version: Msieve-1.40
Total time: 16.85 hours.
Scaled time: 33.30 units (timescale=1.976).
Factorization parameters were as follows:
n: 953612491371280762129135669514763770381247751574228771089948740709040913000614713381169252863682912916181858865166824773367722944071257
m: 10000000000000000000000000000000
deg: 5
c5: 85
c0: -31
skew: 0.82
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1450000, 2450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 471717 x 471949
Total sieving time: 16.42 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.27 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,156.000,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 16.85 hours.
 --------- CPU info (if available) ----------

107370557212204260795785434820846270544671208047612623825231942921176251167688973379185062339392842220270204624120794011284489169017<132>

34212234785615521454269376270239938173026153339<47>
3138367250342501366702906973432191027605005458647470818044018854442073496709174831003<85>

N=107370557212204260795785434820846270544671208047612623825231942921176251167688973379185062339392842220270204624120794011284489169017
  ( 132 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=34212234785615521454269376270239938173026153339 (pp47)
 r2=3138367250342501366702906973432191027605005458647470818044018854442073496709174831003 (pp85)
Version: Msieve-1.40
Total time: 25.93 hours.
Scaled time: 50.45 units (timescale=1.946).
Factorization parameters were as follows:
n: 107370557212204260795785434820846270544671208047612623825231942921176251167688973379185062339392842220270204624120794011284489169017
m: 10000000000000000000000000000000
deg: 5
c5: 8500
c0: -31
skew: 0.33
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1550000, 3150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 565804 x 566030
Total sieving time: 25.26 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.40 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,158.000,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 25.93 hours.
 --------- CPU info (if available) ----------

4946141304476540681184777498592591866808334836375437127516793767237907531326528498320597706892055263987367096851033<115>

198395223802019581326230327754047991398561<42>
24930747876331642860470826072999402339375128211320493725323251821480519353<74>

Number: 94441_160
N = 4946141304476540681184777498592591866808334836375437127516793767237907531326528498320597706892055263987367096851033 (115 digits)
SNFS difficulty: 162 digits.
Divisors found:
r1=198395223802019581326230327754047991398561 (pp42)
r2=24930747876331642860470826072999402339375128211320493725323251821480519353 (pp74)
Version: Msieve v. 1.45
Total time: 34.48 hours.
Factorization parameters were as follows:
n:4946141304476540681184777498592591866808334836375437127516793767237907531326528498320597706892055263987367096851033
m: 100000000000000000000000000000000
deg: 5
c5: 85
c0: -31
skew: 0.82
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [1750000, 3150000)
Total raw relations: 9377907
Relations: 1063258 relations
Pruned matrix : 629467 x 629694
Polynomial selection time: 0.00 hours.
Total sieving time: 31.51 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 2.39 hours.
time per square root: 0.42 hours.
Prototype def-par.txt line would be: snfs,162,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 34.48 hours.
 --------- CPU info (if available) ----------

ggnfs + msieve

954332600401292973773687944326319007694761414425333499619389311114766519339034077744232167270380220403902229132120184406865011500924328215033040957744189<153>

313282051429271385010121113248868903327143671333490509704307<60>
3046240906708150096593287472998906131350781435909344779266904794040026848184570439518529859727<94>

Number: 94441_161
N=954332600401292973773687944326319007694761414425333499619389311114766519339034077744232167270380220403902229132120184406865011500924328215033040957744189
  ( 153 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=313282051429271385010121113248868903327143671333490509704307 (pp60)
 r2=3046240906708150096593287472998906131350781435909344779266904794040026848184570439518529859727 (pp94)
Version: Msieve-1.40
Total time: 40.14 hours.
Scaled time: 86.95 units (timescale=2.166).
Factorization parameters were as follows:
name: 94441_161
n: 954332600401292973773687944326319007694761414425333499619389311114766519339034077744232167270380220403902229132120184406865011500924328215033040957744189
m: 100000000000000000000000000000000
deg: 5
c5: 850
c0: -31
skew: 0.52
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1800000, 3500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 642733 x 642981
Total sieving time: 38.81 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.98 hours.
Time per square root: 0.24 hours.
Prototype def-par.txt line would be:
snfs,162.000,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
total time: 40.14 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

9837068617850853827906644548637510071648718192625053919223232127265797351855606593507691947681139729454842021973766197415890713415822523758828274403<148>

8237994775349852606670791716110201760410205858667959753882505747713<67>
1194109596583604469801483092405607425221514133683387086100448507365226443222748131<82>

Number: 94441_162
N=9837068617850853827906644548637510071648718192625053919223232127265797351855606593507691947681139729454842021973766197415890713415822523758828274403
  ( 148 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=8237994775349852606670791716110201760410205858667959753882505747713 (pp67)
 r2=1194109596583604469801483092405607425221514133683387086100448507365226443222748131 (pp82)
Version: Msieve-1.40
Total time: 51.01 hours.
Scaled time: 154.25 units (timescale=3.024).
Factorization parameters were as follows:
name: 94441_162
n: 9837068617850853827906644548637510071648718192625053919223232127265797351855606593507691947681139729454842021973766197415890713415822523758828274403
m: 100000000000000000000000000000000
deg: 5
c5: 8500
c0: -31
skew: 0.33
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1900000, 4200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 738838 x 739086
Total sieving time: 49.68 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.08 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,163.000,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 51.01 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

36985673447433347151597954719430923545528876563834298940421712844023695076929133795417889369587090172112579747121280235911965449212327<134>

1691724404861103496730158675950733<34>
21862706089216701097012561020195507971131802712629186042189036242411224352379088987954005156414114819<101>

Number: 94441_163
N=36985673447433347151597954719430923545528876563834298940421712844023695076929133795417889369587090172112579747121280235911965449212327
  ( 134 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=1691724404861103496730158675950733 (pp34)
 r2=21862706089216701097012561020195507971131802712629186042189036242411224352379088987954005156414114819 (pp101)
Version: Msieve-1.40
Total time: 49.80 hours.
Scaled time: 152.03 units (timescale=3.053).
Factorization parameters were as follows:
name: 94441_163
n: 36985673447433347151597954719430923545528876563834298940421712844023695076929133795417889369587090172112579747121280235911965449212327
m: 100000000000000000000000000000000
deg: 5
c5: 85000
c0: -31
skew: 0.21
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1950000, 4150001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 790903 x 791151
Total sieving time: 48.26 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.25 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,164.000,5,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000
total time: 49.80 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

6338553318419090231170768083519761372110365398956002982848620432513049962714392244593586875466070096942580164056674123788217747949291573452647278150633855331841909<163>

265653123846950236736100646808229581585777<42>
23860262686279939198909492287627980296120610769093910298878131597538678602247050391610429223524737822708762393942834178117<122>

N=6338553318419090231170768083519761372110365398956002982848620432513049962714392244593586875466070096942580164056674123788217747949291573452647278150633855331841909
  ( 163 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=265653123846950236736100646808229581585777 (pp42)
 r2=23860262686279939198909492287627980296120610769093910298878131597538678602247050391610429223524737822708762393942834178117 (pp122)
Version: Msieve-1.40
Total time: 33.70 hours.
Scaled time: 65.96 units (timescale=1.957).
Factorization parameters were as follows:
n: 6338553318419090231170768083519761372110365398956002982848620432513049962714392244593586875466070096942580164056674123788217747949291573452647278150633855331841909
m: 500000000000000000000000000000000
deg: 5
c5: 272
c0: -31
skew: 0.65
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2050000, 3950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 841209 x 841438
Total sieving time: 32.05 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.87 hours.
Time per square root: 0.70 hours.
Prototype def-par.txt line would be:
snfs,165.000,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 33.70 hours.
 --------- CPU info (if available) ----------

60667142436341074630330500114443783749872898079011696552162804082227688561242137683757059516140019481888871<107>

30539644689231734248085063172654788553832034184228427<53>
1986504527268854679810458950156976941247363753077673173<55>

N=60667142436341074630330500114443783749872898079011696552162804082227688561242137683757059516140019481888871
  ( 107 digits)
Divisors found:
 r1=30539644689231734248085063172654788553832034184228427 (pp53)
 r2=1986504527268854679810458950156976941247363753077673173 (pp55)
Version: Msieve-1.40
Total time: 9.29 hours.
Scaled time: 18.37 units (timescale=1.976).
Factorization parameters were as follows:
name: new107
n: 60667142436341074630330500114443783749872898079011696552162804082227688561242137683757059516140019481888871
skew: 30155.97
# norm 2.94e+014
c5: 7980
c4: -102246892
c3: -12257868869063
c2: -8778325025961177
c1: -116494463580237486669
c0: 48129218375135598514710237
# alpha -5.86
Y1: 154053039733
Y0: -376869146845041477830
# Murphy_E 1.52e-009
# M 19354851686053927590283403049070691279195269991533431699866810149540205727359903543713837848282129889919742
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, 2450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 274630 x 274855
Polynomial selection time: 0.95 hours.
Total sieving time: 8.04 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.22 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 9.29 hours.
 --------- CPU info (if available) ----------

818445964311029562485876615086661162028264956500511395664476650742848054472911248184195557144606490946816955518428533379702948011<129>

148701076658751355241113504095910219<36>
5503967978586000261280267758044847497378149679565407291113024421044747169363361690961464859169<94>

Number: q13
N=818445964311029562485876615086661162028264956500511395664476650742848054472911248184195557144606490946816955518428533379702948011
  ( 129 digits)
SNFS difficulty: 169 digits.
Divisors found:
 r1=148701076658751355241113504095910219 (pp36)
 r2=5503967978586000261280267758044847497378149679565407291113024421044747169363361690961464859169 (pp94)
Version: Msieve-1.40
Total time: 57.72 hours.
Scaled time: 114.75 units (timescale=1.988).
Factorization parameters were as follows:
n: 818445964311029562485876615086661162028264956500511395664476650742848054472911248184195557144606490946816955518428533379702948011
m: 1000000000000000000000000000000000
deg: 5
c5: 85000
c0: -31
skew: 0.21
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2400000, 5700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 984942 x 985166
Total sieving time: 56.30 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.19 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,169.000,5,0,0,0,0,0,0,0,0,4800000,4800000,27,27,52,52,2.4,2.4,100000
total time: 57.72 hours.
 --------- CPU info (if available) ----------

11590532345923610455734686551165784606701261269457555041017734918989065041799482235920595144655093506483341534657662104810402276424187684699394157419910410093897357<164>

6880130951227464071040320143967366581581988040316619689053<58>
1684638334370042393974819655669507547628828223860665076986670059446510919747292426179040210262764866985969<106>

N=11590532345923610455734686551165784606701261269457555041017734918989065041799482235920595144655093506483341534657662104810402276424187684699394157419910410093897357
  ( 164 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=6880130951227464071040320143967366581581988040316619689053 (pp58)
 r2=1684638334370042393974819655669507547628828223860665076986670059446510919747292426179040210262764866985969 (pp106)
Version: Msieve-1.40
Total time: 49.14 hours.
Scaled time: 96.81 units (timescale=1.970).
Factorization parameters were as follows:
n: 11590532345923610455734686551165784606701261269457555041017734918989065041799482235920595144655093506483341534657662104810402276424187684699394157419910410093897357
m: 5000000000000000000000000000000000
deg: 5
c5: 272
c0: -31
skew: 0.65
type: snfs
lss: 1
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2450000, 5150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 908736 x 908964
Total sieving time: 47.94 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.01 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,170.000,5,0,0,0,0,0,0,0,0,4900000,4900000,27,27,52,52,2.4,2.4,100000
total time: 49.14 hours.
 --------- CPU info (if available) ----------

76492276947083136933073803840873799173518123894006172797006264854169295590734966246164788802057170066824642994301874792385681416843740675272903<143>

55888984072408865755116366885937915901373017248080973047429566161<65>
1368646759582907741752113658291464206442972902353138918440657248110014387379223<79>

Number: 94441_170
N=76492276947083136933073803840873799173518123894006172797006264854169295590734966246164788802057170066824642994301874792385681416843740675272903
  ( 143 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=55888984072408865755116366885937915901373017248080973047429566161 (pp65)
 r2=1368646759582907741752113658291464206442972902353138918440657248110014387379223 (pp79)
Version: Msieve-1.40
Total time: 70.71 hours.
Scaled time: 226.62 units (timescale=3.205).
Factorization parameters were as follows:
name: 94441_170
n: 76492276947083136933073803840873799173518123894006172797006264854169295590734966246164788802057170066824642994301874792385681416843740675272903
m: 10000000000000000000000000000000000
deg: 5
c5: 85
c0: -31
skew: 0.82
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2550000, 5550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 923921 x 924169
Total sieving time: 68.57 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.69 hours.
Time per square root: 0.34 hours.
Prototype def-par.txt line would be:
snfs,171.000,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 70.71 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

13873713565373056680886092085211628714332809124851360089445594489848267638919504821326285762017497488934915411268322301680807032826689333968972871882179<152>

608365961827442546942787050474488389025628290250591294718635215370399<69>
22804881331129122113274505544637008115901682968376458339862741091324638336995376221<83>

Number: 94441_172
N=13873713565373056680886092085211628714332809124851360089445594489848267638919504821326285762017497488934915411268322301680807032826689333968972871882179
  ( 152 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=608365961827442546942787050474488389025628290250591294718635215370399 (pp69)
 r2=22804881331129122113274505544637008115901682968376458339862741091324638336995376221 (pp83)
Version: Msieve-1.40
Total time: 119.28 hours.
Scaled time: 284.25 units (timescale=2.383).
Factorization parameters were as follows:
name: 94441_172
n: 13873713565373056680886092085211628714332809124851360089445594489848267638919504821326285762017497488934915411268322301680807032826689333968972871882179
m: 10000000000000000000000000000000000
deg: 5
c5: 8500
c0: -31
skew: 0.33
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2750000, 7850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1158566 x 1158814
Total sieving time: 115.74 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 3.22 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,173.000,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
total time: 119.28 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

827543405135718680065121931208639993462175978735663696869216367840276245274940565783607376555551556059367748568893729030948287203328476652854483<144>

480880201526704155265599013023797<33>
1720893067563239416071947002949037886774865578554118455423984027870285027857652699165408575470268930626027211239<112>

Number: 94441_174
N=827543405135718680065121931208639993462175978735663696869216367840276245274940565783607376555551556059367748568893729030948287203328476652854483
  ( 144 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=480880201526704155265599013023797 (pp33)
 r2=1720893067563239416071947002949037886774865578554118455423984027870285027857652699165408575470268930626027211239 (pp112)
Version: Msieve-1.40
Total time: 110.03 hours.
Scaled time: 252.86 units (timescale=2.298).
Factorization parameters were as follows:
name: 94441_174
n: 827543405135718680065121931208639993462175978735663696869216367840276245274940565783607376555551556059367748568893729030948287203328476652854483
m: 50000000000000000000000000000000000
deg: 5
c5: 272
c0: -31
skew: 0.65
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [3000000, 6900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1193405 x 1193653
Total sieving time: 105.55 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 3.80 hours.
Time per square root: 0.48 hours.
Prototype def-par.txt line would be:
snfs,175.000,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,52,52,2.5,2.5,100000
total time: 110.03 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

64761779301264922806765235999440167234020735898618621577411487528612940364160830143297759724024130104170419886865836774135374670096143051669862760778484399<155>

4927901790995745509483404636006324886582226269631746360767874896552897<70>
13141856726852297513974560474363030445588700183633306232254038740536784206726732089967<86>

Number: 94441_175
N=64761779301264922806765235999440167234020735898618621577411487528612940364160830143297759724024130104170419886865836774135374670096143051669862760778484399
  ( 155 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=4927901790995745509483404636006324886582226269631746360767874896552897 (pp70)
 r2=13141856726852297513974560474363030445588700183633306232254038740536784206726732089967 (pp86)
Version: Msieve-1.40
Total time: 107.92 hours.
Scaled time: 222.43 units (timescale=2.061).
Factorization parameters were as follows:
name: 94441_175
n: 64761779301264922806765235999440167234020735898618621577411487528612940364160830143297759724024130104170419886865836774135374670096143051669862760778484399
m: 100000000000000000000000000000000000
deg: 5
c5: 85
c0: -31
skew: 0.82
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3100000, 6800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1216662 x 1216910
Total sieving time: 103.47 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 4.01 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,176.000,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,53,53,2.5,2.5,100000
total time: 107.92 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

4779251293885404886152291967978371802061514901492041316825575174057946696153988494981668764750830437050252388994628675650220690931295479160711<142>

324566442205854502019608249875289937<36>
108207280742064436527118512255235375345871<42>
136081713186051815981624853977883924372983992055797430563553580793<66>

Number: 94441_176
N=4779251293885404886152291967978371802061514901492041316825575174057946696153988494981668764750830437050252388994628675650220690931295479160711
  ( 142 digits)
SNFS difficulty: 177 digits.
Divisors found:
 r1=324566442205854502019608249875289937 (pp36)
 r2=108207280742064436527118512255235375345871 (pp42)
 r3=136081713186051815981624853977883924372983992055797430563553580793 (pp66)
Version: Msieve-1.40
Total time: 130.48 hours.
Scaled time: 371.74 units (timescale=2.849).
Factorization parameters were as follows:
name: 94441_176
n: 4779251293885404886152291967978371802061514901492041316825575174057946696153988494981668764750830437050252388994628675650220690931295479160711
m: 100000000000000000000000000000000000
deg: 5
c5: 850
c0: -31
skew: 0.52
type: snfs
lss: 1
rlim: 6500000
alim: 6500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3250000, 7850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1323810 x 1324058
Total sieving time: 125.99 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 4.00 hours.
Time per square root: 0.30 hours.
Prototype def-par.txt line would be:
snfs,177.000,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,53,53,2.5,2.5,100000
total time: 130.48 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

41115652222896616661705998968849653721346342629269681277018644981392478121309310203225484995309439720456895884100228248342269607382644310677326727239167<152>

8464593963270931337906343372667247878571239773129577930911267252342653<70>
4857368516588419766450000947221533262298578949741107029164553909371445187247696939<82>

Number: 94441_179
N=41115652222896616661705998968849653721346342629269681277018644981392478121309310203225484995309439720456895884100228248342269607382644310677326727239167
  ( 152 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=8464593963270931337906343372667247878571239773129577930911267252342653 (pp70)
 r2=4857368516588419766450000947221533262298578949741107029164553909371445187247696939 (pp82)
Version: Msieve-1.40
Total time: 188.93 hours.
Scaled time: 464.00 units (timescale=2.456).
Factorization parameters were as follows:
name: 94441_179
n: 41115652222896616661705998968849653721346342629269681277018644981392478121309310203225484995309439720456895884100228248342269607382644310677326727239167
m: 500000000000000000000000000000000000
deg: 5
c5: 272
c0: -31
skew: 0.65
type: snfs
lss: 1
rlim: 7300000
alim: 7300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7300000/7300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3650000, 6050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1365248 x 1365496
Total sieving time: 183.95 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 4.58 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,180.000,5,0,0,0,0,0,0,0,0,7300000,7300000,28,28,53,53,2.5,2.5,100000
total time: 188.93 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

3825210386571261419378065793618649025696413302731650240763241978308806984384141127762026911480131407227397506862877458260204311237118041492282075514153278430313667251698843436389<178>

289147700481653977571286621953330943793<39>
6717960769647135539500224459295224172828820675114606602889<58>
1969237603014645986554691424189978197804974362633089497124294080610522280448182157<82>

Number: 94441_180
N=3825210386571261419378065793618649025696413302731650240763241978308806984384141127762026911480131407227397506862877458260204311237118041492282075514153278430313667251698843436389
  ( 178 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=289147700481653977571286621953330943793 (pp39)
 r2=6717960769647135539500224459295224172828820675114606602889 (pp58)
 r3=1969237603014645986554691424189978197804974362633089497124294080610522280448182157 (pp82)
Version: Msieve-1.40
Total time: 194.42 hours.
Scaled time: 530.37 units (timescale=2.728).
Factorization parameters were as follows:
name: 94441_180
n: 3825210386571261419378065793618649025696413302731650240763241978308806984384141127762026911480131407227397506862877458260204311237118041492282075514153278430313667251698843436389
m: 1000000000000000000000000000000000000
deg: 5
c5: 85
c0: -31
skew: 0.82
type: snfs
lss: 1
rlim: 7500000
alim: 7500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7500000/7500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3750000, 6250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1341845 x 1342093
Total sieving time: 189.67 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 4.09 hours.
Time per square root: 0.44 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7500000,7500000,28,28,53,53,2.5,2.5,100000
total time: 194.42 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

785103623703143647721161845017859336465535564885513913542957311879373994947351934944635281963314257330274926809457782999782427318648364209732768072292637<153>

50719100030059750051992106845956271291145798849<47>
15479447057180339127454471404621064302973390651270071834705302289587907332618731636741441384047564535832413<107>

Number: 94441_182
N=785103623703143647721161845017859336465535564885513913542957311879373994947351934944635281963314257330274926809457782999782427318648364209732768072292637
  ( 153 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=50719100030059750051992106845956271291145798849 (pp47)
 r2=15479447057180339127454471404621064302973390651270071834705302289587907332618731636741441384047564535832413 (pp107)
Version: Msieve-1.40
Total time: 284.81 hours.
Scaled time: 869.54 units (timescale=3.053).
Factorization parameters were as follows:
name: 94441_182
n: 785103623703143647721161845017859336465535564885513913542957311879373994947351934944635281963314257330274926809457782999782427318648364209732768072292637
m: 1000000000000000000000000000000000000
deg: 5
c5: 8500
c0: -31
skew: 0.33
type: snfs
lss: 1
rlim: 8100000
alim: 8100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8100000/8100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4050000, 8050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1573383 x 1573631
Total sieving time: 278.57 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 5.85 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,183.000,5,0,0,0,0,0,0,0,0,8100000,8100000,28,28,53,53,2.5,2.5,100000
total time: 284.81 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

3365638450655882670827562802651291745675774832453004995725205678091177866130472623330208075471001775215970540194021268206140379803883233<136>

500004148606434203558100811944254307717361103496931933<54>
6731221050937841407324786058285301818557778322349096805820939030397870192949526101<82>

Number: 94441_183
N=3365638450655882670827562802651291745675774832453004995725205678091177866130472623330208075471001775215970540194021268206140379803883233
  ( 136 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=500004148606434203558100811944254307717361103496931933 (pp54)
 r2=6731221050937841407324786058285301818557778322349096805820939030397870192949526101 (pp82)
Version: Msieve-1.40
Total time: 270.36 hours.
Scaled time: 879.75 units (timescale=3.254).
Factorization parameters were as follows:
name: 94441_183
n: 3365638450655882670827562802651291745675774832453004995725205678091177866130472623330208075471001775215970540194021268206140379803883233
m: 1000000000000000000000000000000000000
deg: 5
c5: 85000
c0: -31
skew: 0.21
type: snfs
lss: 1
rlim: 8500000
alim: 8500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8500000/8500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4250000, 8550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1723194 x 1723442
Total sieving time: 263.86 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 6.05 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,184.000,5,0,0,0,0,0,0,0,0,8500000,8500000,28,28,54,54,2.5,2.5,100000
total time: 270.36 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

320344061437536612419708933867808333012473933768986730242289830220810347379407459527379315908492352689265722135905916186839797195151<132>

136254465394908865820717207796516131859491303508003034921<57>
2351072021816513879536563696239371733616455644735905436960134397222198960631<76>

Number: 94441_184
N=320344061437536612419708933867808333012473933768986730242289830220810347379407459527379315908492352689265722135905916186839797195151
  ( 132 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=136254465394908865820717207796516131859491303508003034921 (pp57)
 r2=2351072021816513879536563696239371733616455644735905436960134397222198960631 (pp76)
Version: Msieve-1.40
Total time: 237.15 hours.
Scaled time: 771.67 units (timescale=3.254).
Factorization parameters were as follows:
name: 94441_184
n: 320344061437536612419708933867808333012473933768986730242289830220810347379407459527379315908492352689265722135905916186839797195151
m: 5000000000000000000000000000000000000
deg: 5
c5: 272
c0: -31
skew: 0.65
type: snfs
lss: 1
rlim: 8800000
alim: 8800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5Factor base limits: 8800000/8800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4400000, 7800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1661059 x 1661307
Total sieving time: 231.06 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 5.68 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
snfs,185.000,5,0,0,0,0,0,0,0,0,8800000,8800000,28,28,54,54,2.5,2.5,100000
total time: 237.15 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

29916061050942530095053211876043116851167129038334690146137520695267323162795696690059158585118667861275376567488505689580770887509922705893744638259756366060412813345291457<173>

149639481395054067442865036537243237276885194627589119<54>
1576926953429246632723988444436191094463235763278269187<55>
126778800978363173843189899873115002393798428342852053117918210069<66>

N=29916061050942530095053211876043116851167129038334690146137520695267323162795696690059158585118667861275376567488505689580770887509922705893744638259756366060412813345291457
  ( 173 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=149639481395054067442865036537243237276885194627589119 (pp54)
 r2=1576926953429246632723988444436191094463235763278269187 (pp55)
 r3=126778800978363173843189899873115002393798428342852053117918210069 (pp66)
Version: Msieve v. 1.50
Total time:
Scaled time: 236.91 units (timescale=1.494).
Factorization parameters were as follows:
n: 29916061050942530095053211876043116851167129038334690146137520695267323162795696690059158585118667861275376567488505689580770887509922705893744638259756366060412813345291457
m: 10000000000000000000000000000000000000
deg: 5
c5: 85
c0: -31
skew: 0.82
type: snfs
lss: 1
rlim: 9100000
alim: 9100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 1600000
Factor base limits: 9100000/9100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4550000, 14150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1590330 x 1590526
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,186.000,5,0,0,0,0,0,0,0,0,9100000,9100000,28,28,54,54,2.5,2.5,100000
total time:
 --------- CPU info (if available) ----------

3148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148147<190>

32843184832876768617162352320671<32>
95853924160143594310868385622035939661100658790221328623283469256045443027571370013295342941150591961761837707593798911578260968848845986926296781942298446957<158>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=131136436
Step 1 took 12265ms
Step 2 took 6325ms
********** Factor found in step 2: 32843184832876768617162352320671
Found probable prime factor of 32 digits: 32843184832876768617162352320671
Probable prime cofactor 95853924160143594310868385622035939661100658790221328623283469256045443027571370013295342941150591961761837707593798911578260968848845986926296781942298446957 has 158 digits

188952564137052411126546700738332241753906824056582779652809226963220458985308528186194131883163158293190816785984391947164956340972114528759698521502492847016035144520727913505017<180>

2693583584068856586833435064521<31>

70149137102931713210325290491547551280107620114807485407084588527339146412897754321278269377235217041089411621523567222231900452729110886618023308977<149>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3248324423
Step 1 took 9001ms
Step 2 took 6334ms
********** Factor found in step 2: 2693583584068856586833435064521
Found probable prime factor of 31 digits: 2693583584068856586833435064521
Composite cofactor 70149137102931713210325290491547551280107620114807485407084588527339146412897754321278269377235217041089411621523567222231900452729110886618023308977 has 149 digits

GMP-ECM 6.3

70149137102931713210325290491547551280107620114807485407084588527339146412897754321278269377235217041089411621523567222231900452729110886618023308977<149>

349654897160233806757188975925993291<36>
200623922824066663449774587140584307509643865074738167739206106620692654129417429265632796660050520969028336607347<114>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=433456839
Step 1 took 6458ms
Step 2 took 5055ms
********** Factor found in step 2: 349654897160233806757188975925993291
Found probable prime factor of 36 digits: 349654897160233806757188975925993291
Probable prime cofactor 200623922824066663449774587140584307509643865074738167739206106620692654129417429265632796660050520969028336607347 has 114 digits

GMP-ECM 6.3

842501734562394687283179700664089602537416988799682822876400039647140449995044107443750619486569531172564178808603429477648924571315293884428585588264446426801466944196649816631975418772921<189>

2527643991589583741138760099757591995389711<43>
262582056942400698168692099559609577385350122795583099687<57>
1269374741535894720947243331382751367881687270304057938721584745843610816924880525651399153<91>

Number: q189
N=842501734562394687283179700664089602537416988799682822876400039647140449995044107443750619486569531172564178808603429477648924571315293884428585588264446426801466944196649816631975418772921
  ( 189 digits)
SNFS difficulty: 192 digits.
Divisors found:
 r1=2527643991589583741138760099757591995389711 (pp43)
 r2=262582056942400698168692099559609577385350122795583099687 (pp57)
 r3=1269374741535894720947243331382751367881687270304057938721584745843610816924880525651399153 (pp91)
Version: Msieve-1.40
Total time: 380.79 hours.
Scaled time: 718.93 units (timescale=1.888).
Factorization parameters were as follows:
n: 842501734562394687283179700664089602537416988799682822876400039647140449995044107443750619486569531172564178808603429477648924571315293884428585588264446426801466944196649816631975418772921
m: 100000000000000000000000000000000000000
deg: 5
c5: 850
c0: -31
skew: 0.52
type: snfs
lss: 1
rlim: 11500000
alim: 11500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 600000Factor base limits: 11500000/11500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5750000, 11750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1958246 x 1958471
Total sieving time: 374.92 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 5.04 hours.
Time per square root: 0.58 hours.
Prototype def-par.txt line would be:
snfs,192.000,5,0,0,0,0,0,0,0,0,11500000,11500000,28,28,55,55,2.5,2.5,100000
total time: 380.79 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

11462265320183676404572516191967311655596040557483662776475849124015449615440595160784484311101358875790042406670070083650998591400114126534492496424133<152>

30736850517631810526634911961938262632849753718452028636344393<62>
372916064175426529751087227502978049216330230117032029766614496518114395179131611391873181<90>

p62 factor: 30736850517631810526634911961938262632849753718452028636344393
p90 factor: 372916064175426529751087227502978049216330230117032029766614496518114395179131611391873181


Msieve v. 1.54 (SVN 1032M)
random seeds: f85a2fcb 67e40a49
factoring 11462265320183676404572516191967311655596040557483662776475849124015449615440595160784484311101358875790042406670070083650998591400114126534492496424133 (152 digits)
searching for 15-digit factors
commencing number field sieve (152-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: -31
A1: 0
A2: 0
A3: 0
A4: 0
A5: 8500
skew 1.00, size 7.917e-14, alpha 0.568, combined = 1.771e-11 rroots = 1

commencing relation filtering
estimated available RAM is 48213.5 MB
commencing duplicate removal, pass 1
found 2282394 hash collisions in 36598248 relations
added 727665 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 37325913 unique relations
memory use: 98.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1236.7 MB
keeping 40191814 ideals with weight <= 200, target excess is 196749
commencing in-memory singleton removal
begin with 37325913 relations and 40191814 unique ideals
reduce to 14090734 relations and 12946098 ideals in 15 passes
max relations containing the same ideal: 106
removing 2140804 relations and 1740804 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 11949930 relations and 12946098 unique ideals
reduce to 11671543 relations and 10916559 ideals in 9 passes
max relations containing the same ideal: 91
removing 1729968 relations and 1329968 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 9941575 relations and 10916559 unique ideals
reduce to 9716605 relations and 9353678 ideals in 8 passes
max relations containing the same ideal: 80
removing 715902 relations and 581204 ideals in 134698 cliques
commencing in-memory singleton removal
begin with 9000703 relations and 9353678 unique ideals
reduce to 8958445 relations and 8729627 ideals in 7 passes
max relations containing the same ideal: 77
relations with 0 large ideals: 4191
relations with 1 large ideals: 7645
relations with 2 large ideals: 69198
relations with 3 large ideals: 354713
relations with 4 large ideals: 1078453
relations with 5 large ideals: 2041255
relations with 6 large ideals: 2535428
relations with 7+ large ideals: 2867562
commencing 2-way merge
reduce to 5568866 relation sets and 5340048 unique ideals
commencing full merge
memory use: 638.7 MB
found 2615688 cycles, need 2592248
weight of 2592248 cycles is about 233566212 (90.10/cycle)
distribution of cycle lengths:
1 relations: 222006
2 relations: 226141
3 relations: 233996
4 relations: 226480
5 relations: 217131
6 relations: 198399
7 relations: 185509
8 relations: 166920
9 relations: 149901
10+ relations: 765765
heaviest cycle: 26 relations
commencing cycle optimization
start with 19033859 relations
pruned 640714 relations
memory use: 561.2 MB
distribution of cycle lengths:
1 relations: 222006
2 relations: 231502
3 relations: 242942
4 relations: 233869
5 relations: 224867
6 relations: 204651
7 relations: 191145
8 relations: 170535
9 relations: 152266
10+ relations: 718465
heaviest cycle: 26 relations
RelProcTime: 714
elapsed time 00:11:56


Msieve v. 1.54 (SVN 1032M)
random seeds: 181d3617 4e3a1a3c
factoring 11462265320183676404572516191967311655596040557483662776475849124015449615440595160784484311101358875790042406670070083650998591400114126534492496424133 (152 digits)
searching for 15-digit factors
commencing number field sieve (152-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: -31
A1: 0
A2: 0
A3: 0
A4: 0
A5: 8500
skew 1.00, size 7.917e-14, alpha 0.568, combined = 1.771e-11 rroots = 1

commencing linear algebra
read 2592248 cycles
cycles contain 8796238 unique relations
read 8796238 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 1107.1 MB
read 2592248 cycles
matrix is 2592071 x 2592248 (952.9 MB) with weight 277288189 (106.97/col)
sparse part has weight 221277160 (85.36/col)
filtering completed in 2 passes
matrix is 2591382 x 2591559 (952.8 MB) with weight 277263449 (106.99/col)
sparse part has weight 221267967 (85.38/col)
matrix starts at (0, 0)
matrix is 2591382 x 2591559 (952.8 MB) with weight 277263449 (106.99/col)
sparse part has weight 221267967 (85.38/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2591334 x 2591559 (904.1 MB) with weight 228759887 (88.27/col)
sparse part has weight 211090825 (81.45/col)
using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
commencing Lanczos iteration (12 threads)
memory use: 861.9 MB
linear algebra at 0.1%, ETA 2h51m
checkpointing every 1040000 dimensions
lanczos halted after 40980 iterations (dim = 2591332)
recovered 39 nontrivial dependencies
BLanczosTime: 7038
elapsed time 01:57:19


Msieve v. 1.54 (SVN 1032M)
random seeds: 08aeaad6 e0859a8f
factoring 11462265320183676404572516191967311655596040557483662776475849124015449615440595160784484311101358875790042406670070083650998591400114126534492496424133 (152 digits)
searching for 15-digit factors
commencing number field sieve (152-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: -31
A1: 0
A2: 0
A3: 0
A4: 0
A5: 8500
skew 1.00, size 7.917e-14, alpha 0.568, combined = 1.771e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1294707 cycles
cycles contain 4396922 unique relations
read 4396922 relations
multiplying 4396922 relations
multiply complete, coefficients have about 152.57 million bits
initial square root is modulo 298801
GCD is N, no factor found
reading relations for dependency 2
read 1295656 cycles
cycles contain 4397318 unique relations
read 4397318 relations
multiplying 4397318 relations
multiply complete, coefficients have about 152.58 million bits
initial square root is modulo 299171
sqrtTime: 843
p62 factor: 30736850517631810526634911961938262632849753718452028636344393
p90 factor: 372916064175426529751087227502978049216330230117032029766614496518114395179131611391873181
elapsed time 00:14:04

CADO-NFS/Msieve

313396124898686581726411325256969869291402987177207771889111451678105310804890406108495548250768215417206170862404286841341421700268061094161<141>

589679037177099524125258867935673333<36>
531468994385438320632416040188959403181892135025345465077052490762060247536193906674435495606084186057517<105>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2175668050
Step 1 took 16161ms
Step 2 took 9548ms
********** Factor found in step 2: 589679037177099524125258867935673333
Found probable prime factor of 36 digits: 589679037177099524125258867935673333
Probable prime cofactor 531468994385438320632416040188959403181892135025345465077052490762060247536193906674435495606084186057517 has 105 digits

GMP-ECM 6.3

910945693088807150895562328893098609846824067653289181978055911574186311258902582954048379815343877226345015281837578452463460020997550669768433973603523766186621247<165>

804832342136812856843647164069364444426964636777<48>
1131845286771485338380373305173555242556971647853171940020711719918449028158159358536177735079134759901228039658507111<118>

reading relations for dependency 1
read 892095 cycles
cycles contain 2967278 unique relations
read 2967278 relations
multiplying 2967278 relations
multiply complete, coefficients have about 92.91 million bits
initial square root is modulo 4668511
sqrtTime: 93
p48 factor: 804832342136812856843647164069364444426964636777
p118 factor: 1131845286771485338380373305173555242556971647853171940020711719918449028158159358536177735079134759901228039658507111

Msieve 1.54

Ryzen 5 5600X, Ubuntu 20.04

26925072840628885315028974664606421788386153258074776296530791880243371248103107619644031106419714367440706380087831565125484750309198472040033647411008145977785717608819<170>

69856728820744147566975298299855204004750402579<47>
385432774983208359931513359725379389376889297781024133236003564785104290002295332512441815384400181005716948693858871478561<123>

Number: n
N=26925072840628885315028974664606421788386153258074776296530791880243371248103107619644031106419714367440706380087831565125484750309198472040033647411008145977785717608819  ( 170 digits)
SNFS difficulty: 197 digits.
Divisors found:

Tue Mar  9 10:43:49 2021  p47 factor: 69856728820744147566975298299855204004750402579
Tue Mar  9 10:43:49 2021  p123 factor: 385432774983208359931513359725379389376889297781024133236003564785104290002295332512441815384400181005716948693858871478561
Tue Mar  9 10:43:49 2021  elapsed time 03:53:53 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.886).
Factorization parameters were as follows:
#
# N = 85x10^196-31 = 94(195)1
#
n: 26925072840628885315028974664606421788386153258074776296530791880243371248103107619644031106419714367440706380087831565125484750309198472040033647411008145977785717608819
m: 1000000000000000000000000000000000000000
deg: 5
c5: 850
c0: -31
skew: 0.52
# Murphy_E = 1.772e-11
type: snfs
lss: 1
rlim: 13900000
alim: 13900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13900000/13900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 12550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3299095 hash collisions in 26250057 relations (24366055 unique)
Msieve: matrix is 1946348 x 1946573 (683.8 MB)

Sieving start time : 2021/03/09 03:49:27
Sieving end time  : 2021/03/09 06:49:23

Total sieving time: 2hrs 59min 56secs.

Total relation processing time: 3hrs 29min 50sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 16min 22sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13900000,13900000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116745] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241916K/16727236K available (14339K kernel code, 2400K rwdata, 4964K rodata, 2732K init, 4968K bss, 485320K reserved, 0K cma-reserved)
[    0.152613] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.17 BogoMIPS (lpj=12798352)
[    0.150217] smpboot: Total of 16 processors activated (102386.81 BogoMIPS)

9236129428407098841244517369782968270947612326179490136480300808593555319611678418780902181461805106927709589279563182038902273562792912780640421947671483844973<160>

58382949885501561297990720084680943163<38>
158199088030335010903005082927903967735933156347495811308028869934969381985777593655057034968582153378307095142306693450871<123>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4292739618
Step 1 took 19359ms
Step 2 took 10874ms
********** Factor found in step 2: 58382949885501561297990720084680943163
Found probable prime factor of 38 digits: 58382949885501561297990720084680943163
Probable prime cofactor 158199088030335010903005082927903967735933156347495811308028869934969381985777593655057034968582153378307095142306693450871 has 123 digits

GMP-ECM 6.3

1037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851<199>

1310809702687268670752147266600069071791<40>
2684340055786919662590636537141382010792886759017<49>
294956413983718071814536108575762631251275266438448846033334363791204506227522503115832004615179504122107816333<111>

Number: 94441_199
N=1037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851
  ( 199 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=1310809702687268670752147266600069071791 (pp40)
 r2=2684340055786919662590636537141382010792886759017 (pp49)
 r3=294956413983718071814536108575762631251275266438448846033334363791204506227522503115832004615179504122107816333 (pp111)
Version: Msieve v. 1.42
Total time: 39.19 hours.
Scaled time: 40.09 units (timescale=1.023).
Factorization parameters were as follows:
name: 94441_199
n: 1037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851037851
m: 5000000000000000000000000000000000000000
deg: 5
c5: 272
c0: -31
skew: 0.65
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [7500000, 16100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3358837 x 3359062
Total sieving time: 0.00 hours.
Total relation processing time: 0.36 hours.
Matrix solve time: 33.88 hours.
Time per square root: 4.94 hours.
Prototype def-par.txt line would be:
snfs,200.000,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,56,56,2.6,2.6,100000
total time: 39.19 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU1: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU2: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU3: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
Memory: 3057976k/3145344k available (3786k kernel code, 496k absent, 86872k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 4788.00 BogoMIPS (lpj=2394000)
Calibrating delay using timer specific routine.. 4787.75 BogoMIPS (lpj=2393876)
Calibrating delay using timer specific routine.. 4787.78 BogoMIPS (lpj=2393890)
Calibrating delay using timer specific routine.. 4787.78 BogoMIPS (lpj=2393890)
Total of 4 processors activated (19151.31 BogoMIPS).

Total time: 17 days

32847475502826160080378777301725111928642267878744695775164270321599855693697739207576448760417233889432978337526584089890880647735522669358675724887460587908212822998259675052909264386621371621<194>

178141517671948739881392356440566577271<39>

184389781405789189601171635428345531830145876614883779864873536828774279658757638721311726409412622783738773400682049197807955771367987404901085681883934851<156>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1954686285
Step 1 took 21603ms
Step 2 took 7702ms
********** Factor found in step 2: 178141517671948739881392356440566577271
Found probable prime factor of 39 digits: 178141517671948739881392356440566577271
Composite cofactor 184389781405789189601171635428345531830145876614883779864873536828774279658757638721311726409412622783738773400682049197807955771367987404901085681883934851 has 156 digits

GMP-ECM 6.2.3

184389781405789189601171635428345531830145876614883779864873536828774279658757638721311726409412622783738773400682049197807955771367987404901085681883934851<156>

51968038959901710652942100881335576103579272857<47>
1080186405877827187371079754285997660396420558930769<52>
3284746157404202690860589398051962461555870586308060027147<58>

184389781405789189601171635428345531830145876614883779864873536828774279658757638721311726409412622783738773400682049197807955771367987404901085681883934851=51968038959901710652942100881335576103579272857*1080186405877827187371079754285997660396420558930769*3284746157404202690860589398051962461555870586308060027147

cado polynomial
n: 184389781405789189601171635428345531830145876614883779864873536828774279658757638721311726409412622783738773400682049197807955771367987404901085681883934851
skew: 0.82
type: snfs
c0: -31
c5: 85
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 85*x^5-31
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 16200000
tasks.lim1 = 16200000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1080186405877827187371079754285997660396420558930769 51968038959901710652942100881335576103579272857 3284746157404202690860589398051962461555870586308060027147
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 6.79/2.62894
Info:Generate Free Relations: Total cpu/real time for freerel: 204.16/52.6193
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 48907906
Info:Lattice Sieving: Average J: 1893.71 for 4777869 special-q, max bucket fill -bkmult 1.0,1s:1.155240
Info:Lattice Sieving: Total time: 1.43148e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 93.02/244.426
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 243.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 821.59/805.844
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 705.2s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 635.36/696.277
Info:Filtering - Merging: Merged matrix has 3640303 rows and total weight 621879422 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 505.68/228.299
Info:Filtering - Merging: Total cpu/real time for replay: 154.42/142.342
Info:Linear Algebra: Total cpu/real time for bwc: 247690/63320.3
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 40626.83, iteration CPU time 0.34, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (114176 iterations)
Info:Linear Algebra: Lingen CPU time 799.76, WCT time 230.79
Info:Linear Algebra: Mksol: WCT time 21984.73, iteration CPU time 0.37, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (57344 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 131.88/55.0055
Info:Square Root: Total cpu/real time for sqrt: 1048.46/331.611
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.8007e+06/145693
Info:root: Cleaning up computation data in /tmp/cado.szvqrbi7
1080186405877827187371079754285997660396420558930769 51968038959901710652942100881335576103579272857 3284746157404202690860589398051962461555870586308060027147

cado-nfs-3.0.0

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

23487157636683513866679708947142566217896164105046727009319427830734410260958900513650321539188046197304834845215486381731522998486598089692757582967002754076472527348031872901871484352441103189031<197>

603117458741295378313662572293972135645232409866706754558378584572560735559<75>
38942924460686568197391950436203962722144794541967821363834886917273475791875435814237194934342631196783798077962067391009<122>

Number: n
N=23487157636683513866679708947142566217896164105046727009319427830734410260958900513650321539188046197304834845215486381731522998486598089692757582967002754076472527348031872901871484352441103189031
  ( 197 digits)
SNFS difficulty: 202 digits.
Divisors found:

Sat May  1 02:12:15 2021  p75 factor: 603117458741295378313662572293972135645232409866706754558378584572560735559
Sat May  1 02:12:15 2021  p122 factor: 38942924460686568197391950436203962722144794541967821363834886917273475791875435814237194934342631196783798077962067391009
Sat May  1 02:12:15 2021  elapsed time 01:52:40 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 85x10^201-31 = 94(200)1
#
n: 23487157636683513866679708947142566217896164105046727009319427830734410260958900513650321539188046197304834845215486381731522998486598089692757582967002754076472527348031872901871484352441103189031
m: 10000000000000000000000000000000000000000
deg: 5
c5: 850
c0: -31
skew: 0.52
# Murphy_E = 1.096e-11
type: snfs
lss: 1
rlim: 16900000
alim: 16900000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16900000/16900000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 28450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7427564 hash collisions in 55052061 relations (49755797 unique)
Msieve: matrix is 2118565 x 2118790 (740.9 MB)

Sieving start time : 2021/04/30 16:06:36
Sieving end time  : 2021/05/01 00:18:13

Total sieving time: 8hrs 11min 37secs.

Total relation processing time: 1hrs 26min 21sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 9sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16900000,16900000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118393] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241108K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486128K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.30 BogoMIPS (lpj=12798612)
[    0.152049] smpboot: Total of 16 processors activated (102388.89 BogoMIPS)

35307822176157409654091259393202739361310073764723400535103023449499041844542890112800696602140725246439313905334193329846635649793595814901447042274604057697549567296289901<173>

6608768146520520118106048975123269<34>

5342572381624067531180444653571541845253540811073494633434727747275045520177556706074079350728569931154370333993555805321318794413984817929<139>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2038355685
Step 1 took 7894ms
Step 2 took 5834ms
********** Factor found in step 2: 6608768146520520118106048975123269
Found probable prime factor of 34 digits: 6608768146520520118106048975123269
Composite cofactor 5342572381624067531180444653571541845253540811073494633434727747275045520177556706074079350728569931154370333993555805321318794413984817929 has 139 digits

GMP-ECM 6.3

5342572381624067531180444653571541845253540811073494633434727747275045520177556706074079350728569931154370333993555805321318794413984817929<139>

5789026900157837007938190121926719654373765244261663<52>
922879177064871307332164269944562457185931749387879111629214556070314958132878217927383<87>

Number: 94441_202
N = 5342572381624067531180444653571541845253540811073494633434727747275045520177556706074079350728569931154370333993555805321318794413984817929 (139 digits)
Divisors found:
r1=5789026900157837007938190121926719654373765244261663 (pp52)
r2=922879177064871307332164269944562457185931749387879111629214556070314958132878217927383 (pp87)
Version: Msieve v. 1.51 (SVN 845)
Total time: 182.78 hours.
Factorization parameters were as follows:
# Murphy_E = 2.403e-11, selected by Erik Branger
n: 5342572381624067531180444653571541845253540811073494633434727747275045520177556706074079350728569931154370333993555805321318794413984817929
Y0: -1093314395392819818844612912
Y1: 553282066565287
c0: 234143281664537503282751351467455
c1: 12472360495282321467972282067
c2: 33878552665321139325901
c3: -7365693835571439
c4: -15923013132
c5: 3420
skew: 1314943.68
type: gnfs
# selected mechanically
rlim: 16800000
alim: 16800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 16800000/16800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23516852
Relations: 4162770 relations
Pruned matrix : 2552890 x 2553115
Polynomial selection time: 0.00 hours.
Total sieving time: 177.34 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 5.06 hours.
time per square root: 0.24 hours.
Prototype def-par.txt line would be: gnfs,138,5,65,2000,1e-05,0.28,250,20,50000,3600,16800000,16800000,28,28,55,55,2.6,2.6,100000
total time: 182.78 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz

GGNFS, Msieve

63233305269914113189113961477726638021425753209904332197626368902008770442970520867782877565198335895083362742624729306554847073184969704807802627628275226145199958676987395151864977934683782617<194>

11404586944894381136180035687234493912510518498449769063169979163070343351686979719<83>
5544550238903871348033262774344242064624024574209671092822711950067002068216973925122714936043912168351207581343<112>

Number: n
N=63233305269914113189113961477726638021425753209904332197626368902008770442970520867782877565198335895083362742624729306554847073184969704807802627628275226145199958676987395151864977934683782617
  ( 194 digits)
SNFS difficulty: 205 digits.
Divisors found:

Thu May  6 03:06:11 2021  p83 factor: 11404586944894381136180035687234493912510518498449769063169979163070343351686979719
Thu May  6 03:06:11 2021  p112 factor: 5544550238903871348033262774344242064624024574209671092822711950067002068216973925122714936043912168351207581343
Thu May  6 03:06:11 2021  elapsed time 02:34:39 (Msieve 1.54 - dependency 7)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 85x10^203-31 = 94(202)1
#
n: 63233305269914113189113961477726638021425753209904332197626368902008770442970520867782877565198335895083362742624729306554847073184969704807802627628275226145199958676987395151864977934683782617
m: 50000000000000000000000000000000000000000
deg: 5
c5: 136
c0: -155
skew: 1.03
# Murphy_E = 7.957e-12
type: snfs
lss: 1
rlim: 18700000
alim: 18700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18700000/18700000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 36550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8548929 hash collisions in 56972082 relations (50403535 unique)
Msieve: matrix is 2448558 x 2448783 (851.6 MB)

Sieving start time : 2021/05/05 11:00:46
Sieving end time  : 2021/05/06 00:30:13

Total sieving time: 13hrs 29min 27secs.

Total relation processing time: 1hrs 56min 15sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 23min 16sec.

Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,18700000,18700000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118393] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241108K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486128K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.30 BogoMIPS (lpj=12798612)
[    0.152049] smpboot: Total of 16 processors activated (102388.89 BogoMIPS)

#
# TWO dependencies failed to converge:
#
Thu May  6 02:42:55 2021  
Thu May  6 02:42:55 2021  commencing square root phase
Thu May  6 02:42:55 2021  reading relations for dependency 1
Thu May  6 02:42:55 2021  read 1223247 cycles
Thu May  6 02:42:56 2021  cycles contain 3601108 unique relations
Thu May  6 02:43:11 2021  read 3601108 relations
Thu May  6 02:43:23 2021  multiplying 3601108 relations
Thu May  6 02:44:37 2021  multiply complete, coefficients have about 112.42 million bits
Thu May  6 02:44:37 2021  initial square root is modulo 117360931
Thu May  6 02:46:13 2021  GCD is N, no factor found
Thu May  6 02:46:13 2021  reading relations for dependency 2
Thu May  6 02:46:13 2021  read 1224890 cycles
Thu May  6 02:46:15 2021  cycles contain 3602358 unique relations
Thu May  6 02:46:30 2021  read 3602358 relations
Thu May  6 02:46:41 2021  multiplying 3602358 relations
Thu May  6 02:47:55 2021  multiply complete, coefficients have about 112.47 million bits
Thu May  6 02:47:55 2021  initial square root is modulo 118213441
Thu May  6 02:49:31 2021  Newton iteration failed to converge                               FAILED TO CONVERGE
Thu May  6 02:49:31 2021  algebraic square root failed
Thu May  6 02:49:31 2021  reading relations for dependency 3
Thu May  6 02:49:31 2021  read 1223861 cycles
Thu May  6 02:49:33 2021  cycles contain 3601008 unique relations
Thu May  6 02:49:48 2021  read 3601008 relations
Thu May  6 02:49:59 2021  multiplying 3601008 relations
Thu May  6 02:51:12 2021  multiply complete, coefficients have about 112.43 million bits
Thu May  6 02:51:13 2021  initial square root is modulo 117458591
Thu May  6 02:52:49 2021  GCD is N, no factor found
Thu May  6 02:52:49 2021  reading relations for dependency 4
Thu May  6 02:52:49 2021  read 1224972 cycles
Thu May  6 02:52:50 2021  cycles contain 3604516 unique relations
Thu May  6 02:53:05 2021  read 3604516 relations
Thu May  6 02:53:17 2021  multiplying 3604516 relations
Thu May  6 02:54:32 2021  multiply complete, coefficients have about 112.54 million bits
Thu May  6 02:54:33 2021  initial square root is modulo 119547271
Thu May  6 02:56:12 2021  GCD is 1, no factor found
Thu May  6 02:56:12 2021  reading relations for dependency 5
Thu May  6 02:56:13 2021  read 1225175 cycles
Thu May  6 02:56:14 2021  cycles contain 3604404 unique relations
Thu May  6 02:56:29 2021  read 3604404 relations
Thu May  6 02:56:41 2021  multiplying 3604404 relations
Thu May  6 02:57:54 2021  multiply complete, coefficients have about 112.53 million bits
Thu May  6 02:57:55 2021  initial square root is modulo 119443321
Thu May  6 02:59:30 2021  GCD is 1, no factor found
Thu May  6 02:59:30 2021  reading relations for dependency 6
Thu May  6 02:59:30 2021  read 1224660 cycles
Thu May  6 02:59:32 2021  cycles contain 3604414 unique relations
Thu May  6 02:59:47 2021  read 3604414 relations
Thu May  6 02:59:59 2021  multiplying 3604414 relations
Thu May  6 03:01:14 2021  multiply complete, coefficients have about 112.53 million bits
Thu May  6 03:01:15 2021  initial square root is modulo 119470601
Thu May  6 03:02:52 2021  Newton iteration failed to converge                               FAILED TO CONVERGE
Thu May  6 03:02:52 2021  algebraic square root failed
Thu May  6 03:02:52 2021  reading relations for dependency 7
Thu May  6 03:02:53 2021  read 1223777 cycles
Thu May  6 03:02:54 2021  cycles contain 3601520 unique relations
Thu May  6 03:03:09 2021  read 3601520 relations
Thu May  6 03:03:21 2021  multiplying 3601520 relations
Thu May  6 03:04:34 2021  multiply complete, coefficients have about 112.44 million bits
Thu May  6 03:04:35 2021  initial square root is modulo 117719821
Thu May  6 03:06:11 2021  sqrtTime: 1396
Thu May  6 03:06:11 2021  p83 factor: 11404586944894381136180035687234493912510518498449769063169979163070343351686979719
Thu May  6 03:06:11 2021  p112 factor: 5544550238903871348033262774344242064624024574209671092822711950067002068216973925122714936043912168351207581343
Thu May  6 03:06:11 2021  elapsed time 02:34:39

2442440094812315530830838014841466056088415150536793248442689977684054479681672323323290155065535680280210359424491929998428315720550589577<139>

2064467364986407666069387137064486729<37>
1183084865489455879769174699895009384768801436622867156403764940529701502449443751949328275110340014913<103>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3415481817
Step 1 took 3385ms
Step 2 took 2933ms
********** Factor found in step 2: 2064467364986407666069387137064486729
Found probable prime factor of 37 digits: 2064467364986407666069387137064486729
Probable prime cofactor 1183084865489455879769174699895009384768801436622867156403764940529701502449443751949328275110340014913 has 103 digits

GMP-ECM 6.3

11335532160410304220890564446520391348564762506274495635920641202290344292596245615561404581431613806420127543108159564012248128106600407913765890369705915408932244269647899921501556501021<188>

444524526432928434074564014147<30>
25500352593302076889955558398332057212321708311615491778703326473225762122606203426668564941237218592899240213823450064503226888666512784238846452747854874143<158>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3510125645
Step 1 took 10062ms
Step 2 took 6084ms
********** Factor found in step 2: 444524526432928434074564014147
Found probable prime factor of 30 digits: 444524526432928434074564014147
Probable prime cofactor 25500352593302076889955558398332057212321708311615491778703326473225762122606203426668564941237218592899240213823450064503226888666512784238846452747854874143 has 158 digits

GMP-ECM 6.3

3148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148147<208>

232557062365583320898205119301929119904923<42>
398318314651206186091913309386829498996739487327901600220378197989527360631<75>
33985632195718921568801656486736143179918311241305530657103742339013443439257600015475005119<92>

Number: n
N=3148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148147
  ( 208 digits)
SNFS difficulty: 208 digits.
Divisors found:

Thu Aug 31 00:38:45 2017  prp42 factor: 232557062365583320898205119301929119904923
Thu Aug 31 00:38:45 2017  prp75 factor: 398318314651206186091913309386829498996739487327901600220378197989527360631
Thu Aug 31 00:38:45 2017  prp92 factor: 33985632195718921568801656486736143179918311241305530657103742339013443439257600015475005119
Thu Aug 31 00:38:45 2017  elapsed time 11:21:00 (Msieve 1.44 - dependency 2)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=3.824).
Factorization parameters were as follows:
#
# 85x10^207-31 94(206)1
#
n: 3148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148147
m: 100000000000000000000000000000000000000000
deg: 5
c5: 8500
c0: -31
skew: 0.33
# Murphy_E = 4.839e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 38500000)
Primes: RFBsize:1329943, AFBsize:1331023,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 13042162 hash collisions in 72968274 relations (60644906 unique)
Msieve: matrix is 3056015 x 3056240 (862.6 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 10hrs 49min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 56sec.

Prototype def-par.txt line would be:
snfs,208,5,0,0,0,0,0,0,0,0,21000000,21000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1887903812499504567445681590679474297806785947603673972214948963698848865442491658630907923727887743509004047460174829031967642079949508256633754416099206760507913<163>

1321418682080900517056884705523<31>
1428694658324743157271936193530277510601406099570742911486771221145537056789417892813665146796419731420900463440988292067651739942931<133>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=515263817
Step 1 took 7846ms
Step 2 took 5554ms
********** Factor found in step 2: 1321418682080900517056884705523
Found probable prime factor of 31 digits: 1321418682080900517056884705523
Probable prime cofactor 1428694658324743157271936193530277510601406099570742911486771221145537056789417892813665146796419731420900463440988292067651739942931 has 133 digits

GMP-ECM 6.3

33023993336483669639884213068965053016001335077408923042920390071451169705889686785766919729405656117736005215977344698170135085022257085750365128953314013925976401483276949462359<179>

58758210860893286456527660030038805293247029657568679611323247504273906179666562014352866922698878969701710083187131274042045724517202737791773192788451677883255533836426263970473273482187951866259971171<203>

58147646464553366991173009736809681<35>

1010500242631696498884508348864030498764355889296602251452842412895914462118009656309000812356466680034911023214357329095594897102001201524051525872135561625035143234291<169>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1314310487
Step 1 took 12121ms
Step 2 took 7332ms
********** Factor found in step 2: 58147646464553366991173009736809681
Found probable prime factor of 35 digits: 58147646464553366991173009736809681
Composite cofactor 1010500242631696498884508348864030498764355889296602251452842412895914462118009656309000812356466680034911023214357329095594897102001201524051525872135561625035143234291 has 169 digits

GMP-ECM 6.3

1010500242631696498884508348864030498764355889296602251452842412895914462118009656309000812356466680034911023214357329095594897102001201524051525872135561625035143234291<169>

3707967247479873715968586763247545130524608763<46>
272521350699223332606663024184415249211262433860924303743517025314398833480958761964940005945544282262122444676461741079657<123>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1851207923
Step 1 took 71172ms
Step 2 took 25491ms
********** Factor found in step 2: 3707967247479873715968586763247545130524608763
Found probable prime factor of 46 digits: 3707967247479873715968586763247545130524608763

5761582984757562755500786625535742488420912783868109909312683819915962228417618514067413232254832781915950027418356674522754524706684588578915724308932012642946568435065943011843781116784575767866499377410121<208>

1808107474749829079493958760611<31>

3186526832734176438523432158470878670302360134104689169329731306683181566896389448323715482728280337775431729188982302536895440128306569253565319287212760035709206737341318309411<178>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=94368960
Step 1 took 10172ms
Step 2 took 6505ms
********** Factor found in step 2: 1808107474749829079493958760611
Found probable prime factor of 31 digits: 1808107474749829079493958760611
Composite cofactor 3186526832734176438523432158470878670302360134104689169329731306683181566896389448323715482728280337775431729188982302536895440128306569253565319287212760035709206737341318309411 has 178 digits

GMP-ECM 6.3

3148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148147<214>

17475818264065272709628036206980541748040949<44>

180143104064062136989105594142063545718276354652664814912686465583746440901566721256524893903667544324705674541392404558687278070074587057146261370195567185284841264189703<171>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=2935420457
Step 1 took 74273ms
Step 2 took 35771ms
********** Factor found in step 2: 17475818264065272709628036206980541748040949
Found probable prime factor of 44 digits: 17475818264065272709628036206980541748040949
Composite cofactor 

164723644021274596593389735395071746973221112261791033309560475165939696944009418505729071188421700019163037920579910108140857190266933116734221683798380088344201052295683264141777108642429640137938719064615989<210>

204140078319331003920501333319208859974913761421843373<54>
255499401999021540924601024136245454128597467550235101009951349<63>
3158186524515416517233889342775387341935479135318910731451087432887043293050045334852606006757<94>

SNFS with Newton iterations failing 12 times:  -  See part of msieve.log below.

 1 Mon Feb 17 21:40:50 2020  Newton iteration failed to converge
 2 Mon Feb 17 21:49:04 2020  Newton iteration failed to converge
 3 Mon Feb 17 21:57:35 2020  Newton iteration failed to converge
 4 Mon Feb 17 22:05:53 2020  Newton iteration failed to converge
 5 Mon Feb 17 22:14:06 2020  Newton iteration failed to converge
 6 Mon Feb 17 22:22:21 2020  Newton iteration failed to converge
 7 Mon Feb 17 22:30:33 2020  Newton iteration failed to converge
 8 Mon Feb 17 22:46:58 2020  Newton iteration failed to converge
 9 Mon Feb 17 22:55:10 2020  Newton iteration failed to converge
10 Mon Feb 17 23:03:25 2020  Newton iteration failed to converge
11 Mon Feb 17 23:11:41 2020  Newton iteration failed to converge
12 Mon Feb 17 23:19:54 2020  Newton iteration failed to converge



Number: n
N=164723644021274596593389735395071746973221112261791033309560475165939696944009418505729071188421700019163037920579910108140857190266933116734221683798380088344201052295683264141777108642429640137938719064615989
  ( 210 digits)
SNFS difficulty: 218 digits.
Divisors found:

Mon Feb 17 22:38:45 2020  found factor: 3158186524515416517233889342775387341935479135318910731451087432887043293050045334852606006757
Mon Feb 17 23:44:33 2020  p54 factor: 204140078319331003920501333319208859974913761421843373
Mon Feb 17 23:44:33 2020  p63 factor: 255499401999021540924601024136245454128597467550235101009951349
Mon Feb 17 23:44:33 2020  p94 factor: 3158186524515416517233889342775387341935479135318910731451087432887043293050045334852606006757
Mon Feb 17 23:44:33 2020  elapsed time 08:19:22 (Msieve 1.54 - dependency 16)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.129).
Factorization parameters were as follows:
#
# N = 85x10^217-31 = 94(216)1
#
n: 164723644021274596593389735395071746973221112261791033309560475165939696944009418505729071188421700019163037920579910108140857190266933116734221683798380088344201052295683264141777108642429640137938719064615989
m: 1000000000000000000000000000000000000
deg: 6
c6: 850
c0: -31
skew: 0.58
# Murphy_E = 3.802e-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, 69900000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8179999 hash collisions in 56074280 relations (50362500 unique)
Msieve: matrix is 3812575 x 3812800 (1344.7 MB)

Sieving start time: 2020/02/16 07:02:32
Sieving end time  : 2020/02/17 15:22:50

Total sieving time: 32hrs 20min 18secs.

Total relation processing time: 5hrs 49min 10sec.
Matrix solve time: 0.00 hours.
Total square root time: 2hrs 12min 12sec.

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) ----------
[    0.149595] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283240K/16703460K available (12300K kernel code, 2481K rwdata, 4260K rodata, 2428K init, 2704K bss, 420220K reserved, 0K cma-reserved)
[    0.184568] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.70 BogoMIPS (lpj=11977400)
[    0.182219] smpboot: Total of 16 processors activated (95819.20 BogoMIPS)


Msieve.log:

...
Mon Feb 17 21:32:21 2020
Mon Feb 17 21:32:21 2020  commencing square root phase
Mon Feb 17 21:32:21 2020  reading relations for dependency 1
Mon Feb 17 21:32:22 2020  read 1906535 cycles
Mon Feb 17 21:32:24 2020  cycles contain 5671100 unique relations
Mon Feb 17 21:32:52 2020  read 5671100 relations
Mon Feb 17 21:33:14 2020  multiplying 5671100 relations
Mon Feb 17 21:36:40 2020  multiply complete, coefficients have about 189.89 million bits
Mon Feb 17 21:36:41 2020  initial square root is modulo 6525817
Mon Feb 17 21:40:50 2020  Newton iteration failed to converge
Mon Feb 17 21:40:50 2020  algebraic square root failed
Mon Feb 17 21:40:50 2020  reading relations for dependency 2
Mon Feb 17 21:40:50 2020  read 1905958 cycles
Mon Feb 17 21:40:53 2020  cycles contain 5668086 unique relations
Mon Feb 17 21:41:19 2020  read 5668086 relations
Mon Feb 17 21:41:40 2020  multiplying 5668086 relations
Mon Feb 17 21:45:01 2020  multiply complete, coefficients have about 189.79 million bits
Mon Feb 17 21:45:02 2020  initial square root is modulo 6471643
Mon Feb 17 21:49:04 2020  Newton iteration failed to converge
Mon Feb 17 21:49:04 2020  algebraic square root failed
Mon Feb 17 21:49:04 2020  reading relations for dependency 3
Mon Feb 17 21:49:05 2020  read 1907733 cycles
Mon Feb 17 21:49:07 2020  cycles contain 5673546 unique relations
Mon Feb 17 21:49:34 2020  read 5673546 relations
Mon Feb 17 21:49:55 2020  multiplying 5673546 relations
Mon Feb 17 21:53:19 2020  multiply complete, coefficients have about 189.97 million bits
Mon Feb 17 21:53:20 2020  initial square root is modulo 6569791
Mon Feb 17 21:57:35 2020  Newton iteration failed to converge
Mon Feb 17 21:57:35 2020  algebraic square root failed
Mon Feb 17 21:57:35 2020  reading relations for dependency 4
Mon Feb 17 21:57:35 2020  read 1906052 cycles
Mon Feb 17 21:57:38 2020  cycles contain 5670302 unique relations
Mon Feb 17 21:58:06 2020  read 5670302 relations
Mon Feb 17 21:58:28 2020  multiplying 5670302 relations
Mon Feb 17 22:01:50 2020  multiply complete, coefficients have about 189.86 million bits
Mon Feb 17 22:01:51 2020  initial square root is modulo 6511237
Mon Feb 17 22:05:53 2020  Newton iteration failed to converge
Mon Feb 17 22:05:53 2020  algebraic square root failed
Mon Feb 17 22:05:53 2020  reading relations for dependency 5
Mon Feb 17 22:05:53 2020  read 1905917 cycles
Mon Feb 17 22:05:56 2020  cycles contain 5669140 unique relations
Mon Feb 17 22:06:22 2020  read 5669140 relations
Mon Feb 17 22:06:44 2020  multiplying 5669140 relations
Mon Feb 17 22:10:03 2020  multiply complete, coefficients have about 189.83 million bits
Mon Feb 17 22:10:04 2020  initial square root is modulo 6491857
Mon Feb 17 22:14:06 2020  Newton iteration failed to converge
Mon Feb 17 22:14:06 2020  algebraic square root failed
Mon Feb 17 22:14:06 2020  reading relations for dependency 6
Mon Feb 17 22:14:07 2020  read 1907335 cycles
Mon Feb 17 22:14:09 2020  cycles contain 5669052 unique relations
Mon Feb 17 22:14:36 2020  read 5669052 relations
Mon Feb 17 22:14:58 2020  multiplying 5669052 relations
Mon Feb 17 22:18:18 2020  multiply complete, coefficients have about 189.82 million bits
Mon Feb 17 22:18:19 2020  initial square root is modulo 6488617
Mon Feb 17 22:22:21 2020  Newton iteration failed to converge
Mon Feb 17 22:22:21 2020  algebraic square root failed
Mon Feb 17 22:22:21 2020  reading relations for dependency 7
Mon Feb 17 22:22:21 2020  read 1907010 cycles
Mon Feb 17 22:22:24 2020  cycles contain 5671132 unique relations
Mon Feb 17 22:22:50 2020  read 5671132 relations
Mon Feb 17 22:23:12 2020  multiplying 5671132 relations
Mon Feb 17 22:26:30 2020  multiply complete, coefficients have about 189.89 million bits
Mon Feb 17 22:26:31 2020  initial square root is modulo 6527263
Mon Feb 17 22:30:33 2020  Newton iteration failed to converge
Mon Feb 17 22:30:33 2020  algebraic square root failed
Mon Feb 17 22:30:33 2020  reading relations for dependency 8
Mon Feb 17 22:30:33 2020  read 1906070 cycles
Mon Feb 17 22:30:36 2020  cycles contain 5670232 unique relations
Mon Feb 17 22:31:02 2020  read 5670232 relations
Mon Feb 17 22:31:24 2020  multiplying 5670232 relations
Mon Feb 17 22:34:42 2020  multiply complete, coefficients have about 189.86 million bits
Mon Feb 17 22:34:43 2020  initial square root is modulo 6509221
Mon Feb 17 22:38:45 2020  found factor: 3158186524515416517233889342775387341935479135318910731451087432887043293050045334852606006757
Mon Feb 17 22:38:45 2020  reading relations for dependency 9
Mon Feb 17 22:38:46 2020  read 1907191 cycles
Mon Feb 17 22:38:48 2020  cycles contain 5671690 unique relations
Mon Feb 17 22:39:15 2020  read 5671690 relations
Mon Feb 17 22:39:37 2020  multiplying 5671690 relations
Mon Feb 17 22:42:55 2020  multiply complete, coefficients have about 189.91 million bits
Mon Feb 17 22:42:56 2020  initial square root is modulo 6538297
Mon Feb 17 22:46:58 2020  Newton iteration failed to converge
Mon Feb 17 22:46:58 2020  algebraic square root failed
Mon Feb 17 22:46:58 2020  reading relations for dependency 10
Mon Feb 17 22:46:58 2020  read 1907683 cycles
Mon Feb 17 22:47:00 2020  cycles contain 5672000 unique relations
Mon Feb 17 22:47:27 2020  read 5672000 relations
Mon Feb 17 22:47:49 2020  multiplying 5672000 relations
Mon Feb 17 22:51:07 2020  multiply complete, coefficients have about 189.92 million bits
Mon Feb 17 22:51:08 2020  initial square root is modulo 6541663
Mon Feb 17 22:55:10 2020  Newton iteration failed to converge
Mon Feb 17 22:55:10 2020  algebraic square root failed
Mon Feb 17 22:55:10 2020  reading relations for dependency 11
Mon Feb 17 22:55:11 2020  read 1905955 cycles
Mon Feb 17 22:55:13 2020  cycles contain 5669216 unique relations
Mon Feb 17 22:55:40 2020  read 5669216 relations
Mon Feb 17 22:56:02 2020  multiplying 5669216 relations
Mon Feb 17 22:59:21 2020  multiply complete, coefficients have about 189.83 million bits
Mon Feb 17 22:59:22 2020  initial square root is modulo 6492511
Mon Feb 17 23:03:25 2020  Newton iteration failed to converge
Mon Feb 17 23:03:25 2020  algebraic square root failed
Mon Feb 17 23:03:25 2020  reading relations for dependency 12
Mon Feb 17 23:03:25 2020  read 1904917 cycles
Mon Feb 17 23:03:28 2020  cycles contain 5666710 unique relations
Mon Feb 17 23:03:54 2020  read 5666710 relations
Mon Feb 17 23:04:16 2020  multiplying 5666710 relations
Mon Feb 17 23:07:40 2020  multiply complete, coefficients have about 189.74 million bits
Mon Feb 17 23:07:41 2020  initial square root is modulo 6445711
Mon Feb 17 23:11:41 2020  Newton iteration failed to converge
Mon Feb 17 23:11:41 2020  algebraic square root failed
Mon Feb 17 23:11:41 2020  reading relations for dependency 13
Mon Feb 17 23:11:42 2020  read 1905775 cycles
Mon Feb 17 23:11:44 2020  cycles contain 5669558 unique relations
Mon Feb 17 23:12:11 2020  read 5669558 relations
Mon Feb 17 23:12:32 2020  multiplying 5669558 relations
Mon Feb 17 23:15:51 2020  multiply complete, coefficients have about 189.84 million bits
Mon Feb 17 23:15:52 2020  initial square root is modulo 6497761
Mon Feb 17 23:19:54 2020  Newton iteration failed to converge
Mon Feb 17 23:19:54 2020  algebraic square root failed
Mon Feb 17 23:19:54 2020  reading relations for dependency 14
Mon Feb 17 23:19:54 2020  read 1906928 cycles
Mon Feb 17 23:19:57 2020  cycles contain 5671352 unique relations
Mon Feb 17 23:20:23 2020  read 5671352 relations
Mon Feb 17 23:20:46 2020  multiplying 5671352 relations
Mon Feb 17 23:24:04 2020  multiply complete, coefficients have about 189.90 million bits
Mon Feb 17 23:24:05 2020  initial square root is modulo 6531619
Mon Feb 17 23:28:07 2020  GCD is 1, no factor found
Mon Feb 17 23:28:07 2020  reading relations for dependency 15
Mon Feb 17 23:28:07 2020  read 1906771 cycles
Mon Feb 17 23:28:09 2020  cycles contain 5670110 unique relations
Mon Feb 17 23:28:36 2020  read 5670110 relations
Mon Feb 17 23:28:58 2020  multiplying 5670110 relations
Mon Feb 17 23:32:16 2020  multiply complete, coefficients have about 189.85 million bits
Mon Feb 17 23:32:17 2020  initial square root is modulo 6506089
Mon Feb 17 23:36:19 2020  GCD is N, no factor found
Mon Feb 17 23:36:19 2020  reading relations for dependency 16
Mon Feb 17 23:36:19 2020  read 1905031 cycles
Mon Feb 17 23:36:22 2020  cycles contain 5668574 unique relations
Mon Feb 17 23:36:48 2020  read 5668574 relations
Mon Feb 17 23:37:10 2020  multiplying 5668574 relations
Mon Feb 17 23:40:30 2020  multiply complete, coefficients have about 189.80 million bits
Mon Feb 17 23:40:31 2020  initial square root is modulo 6480739
Mon Feb 17 23:44:33 2020  sqrtTime: 7932
Mon Feb 17 23:44:33 2020  p54 factor: 204140078319331003920501333319208859974913761421843373
Mon Feb 17 23:44:33 2020  p63 factor: 255499401999021540924601024136245454128597467550235101009951349
Mon Feb 17 23:44:33 2020  p94 factor: 3158186524515416517233889342775387341935479135318910731451087432887043293050045334852606006757
Mon Feb 17 23:44:33 2020  elapsed time 08:19:22

846853007852382805588619206695301295799974661667758985512058885301333650353406156388942037855564496210519403506064896271295829767262238561960764831103376222784935771540364183<174>

1262131365394350643583798551242466616291291722703443214638490608487934402786239626152531960989687391888240138518471893901020421330037893489684385045869640212526885439765990747804964235874415078211236749606664184277<214>

440917272864317562666616397232228969035202209764847725814508362344674851581<75>
2862512863683485962743259493003925161039223081479649171916205874485508792747472377267449292776348717468279035593578882105411913927032575417<139>

Number: n
N=1262131365394350643583798551242466616291291722703443214638490608487934402786239626152531960989687391888240138518471893901020421330037893489684385045869640212526885439765990747804964235874415078211236749606664184277
  ( 214 digits)
SNFS difficulty: 222 digits.
Divisors found:

Sun May 13 08:18:56 2018  p75 factor: 440917272864317562666616397232228969035202209764847725814508362344674851581
Sun May 13 08:18:56 2018  p139 factor: 2862512863683485962743259493003925161039223081479649171916205874485508792747472377267449292776348717468279035593578882105411913927032575417
Sun May 13 08:18:56 2018  elapsed time 15:28:01 (Msieve 1.53 - dependency 4)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.124).
Factorization parameters were as follows:
#
# 85x10^219-31 = 94(218)1
#
n: 1262131365394350643583798551242466616291291722703443214638490608487934402786239626152531960989687391888240138518471893901020421330037893489684385045869640212526885439765990747804964235874415078211236749606664184277
m: 5000000000000000000000000000000000000
deg: 6
c6: 136
c0: -775
skew: 1.34
# Murphy_E = 1.326e-12
type: snfs
lss: 1
rlim: 36000000
alim: 36000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 36000000/36000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 133200000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 16205426 hash collisions in 72745135 relations (56369811 unique)
Msieve: matrix is 5789535 x 5789760 (1648.3 MB)

Sieving start time: 2018/05/09 00:32:08
Sieving end time  : 2018/05/12 16:48:47

Total sieving time: 88hrs 16min 39secs.

Total relation processing time: 14hrs 22min 0sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 43min 55sec.

Prototype def-par.txt line would be:
snfs,222,6,0,0,0,0,0,0,0,0,36000000,36000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.036000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16286848K/16703460K available (12300K kernel code, 2470K rwdata, 4240K rodata, 2404K init, 2416K bss, 416612K reserved, 0K cma-reserved)
[    0.068639] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.28 BogoMIPS (lpj=11976564)
[    0.066207] smpboot: Total of 16 processors activated (95812.51 BogoMIPS)

735426119001238379715750191182671706360166670400035729596482676635445578376347152483277469932730399853516960410134514541887799567069352266350990628932177454584819899897084468906966701142577918245896921411958276144219<216>

12014261397540284228630989874222610279018462368438299934407011223701412730011690598242382637251215219<101>
61212761622766454447904764308152524208856257268439008480783804428068587700665195832716853513274121966755826760091001<116>

Number: n
N=735426119001238379715750191182671706360166670400035729596482676635445578376347152483277469932730399853516960410134514541887799567069352266350990628932177454584819899897084468906966701142577918245896921411958276144219
  ( 216 digits)
SNFS difficulty: 223 digits.
Divisors found:

Sun Jul 14 19:49:54 2019  p101 factor: 12014261397540284228630989874222610279018462368438299934407011223701412730011690598242382637251215219
Sun Jul 14 19:49:54 2019  p116 factor: 61212761622766454447904764308152524208856257268439008480783804428068587700665195832716853513274121966755826760091001
Sun Jul 14 19:49:54 2019  elapsed time 13:47:46 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.122).
Factorization parameters were as follows:
#
# N = 85x10^222-31 = 94(221)1
#
n: 735426119001238379715750191182671706360166670400035729596482676635445578376347152483277469932730399853516960410134514541887799567069352266350990628932177454584819899897084468906966701142577918245896921411958276144219
m: 10000000000000000000000000000000000000
deg: 6
c6: 85
c0: -31
skew: 0.85
# Murphy_E = 1.474e-12
type: snfs
lss: 1
rlim: 38000000
alim: 38000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 38000000/38000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 123800000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 14752663 hash collisions in 68616154 relations (55085564 unique)
Msieve: matrix is 5424740 x 5424966 (1887.2 MB)

Sieving start time: 2019/07/11 14:45:50
Sieving end time  : 2019/07/14 06:00:06

Total sieving time: 63hrs 14min 16secs.

Total relation processing time: 13hrs 14min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 57sec.

Prototype def-par.txt line would be:
snfs,223,6,0,0,0,0,0,0,0,0,38000000,38000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.048000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284124K/16703460K available (12300K kernel code, 2473K rwdata, 4272K rodata, 2408K init, 2416K bss, 419336K reserved, 0K cma-reserved)
[    0.080566] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.41 BogoMIPS (lpj=11976828)
[    0.078213] smpboot: Total of 16 processors activated (95814.62 BogoMIPS)

503651770140752210766052738061589304973004286601449578576148906138480929093519720938634887056542476168562506413913638896980339479711413271993970160240366849905345889678060988764758351727917197704366376120623677<210>

978829253326328742458180453001634852351171077586311694576002640784462628888250681001464241129793339888738209706450669848290977607163031393356673557038531547675708853848000304663630023998643177328887482507<204>

237281050946698181751017041021192320143<39>

4125189303659181925001127633953901013880053750017189636284260415795361023874410807740114449236794614761003792385960455789327889162828225263436963841889846457738068549<166>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4073019312
Step 1 took 26764ms
Step 2 took 10295ms
********** Factor found in step 2: 237281050946698181751017041021192320143
Found probable prime factor of 39 digits: 237281050946698181751017041021192320143

32918598133922146754311274053889512958376868128970944405632152976743078258192870580154015462811615493493500688462816247647971910047122140725108298689804500924095255887990125365833247154177454291560617747505257069133<215>

7572886618713399270350724239<28>
4346902283282154091420451810299525794094601820950465418605679740191334748047892830952020361843592151565465733800873491641155825314917258160127595441833226785656704702444728789043880354147<187>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1710004457
Step 1 took 14243ms
Step 2 took 7831ms
********** Factor found in step 2: 7572886618713399270350724239
Found probable prime factor of 28 digits: 7572886618713399270350724239
Probable prime cofactor 4346902283282154091420451810299525794094601820950465418605679740191334748047892830952020361843592151565465733800873491641155825314917258160127595441833226785656704702444728789043880354147 has 187 digits

GMP-ECM 6.3

56458335457350863967498782571673254459184697419654498786357452656112769776291781516416967657381757231604982631151699351100825445653205418878137223552777321640411108864008503302289<179>

504686696061298619659188413<27>

111868087464888324739964554632454518166453332527158602274054809314022400944568370743663482372864961514472647532210853642298589622229199589492802128522853<153>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3691444637
Step 1 took 10608ms
Step 2 took 6334ms
********** Factor found in step 2: 504686696061298619659188413
Found probable prime factor of 27 digits: 504686696061298619659188413
Composite cofactor 111868087464888324739964554632454518166453332527158602274054809314022400944568370743663482372864961514472647532210853642298589622229199589492802128522853 has 153 digits

GMP-ECM 6.3

111868087464888324739964554632454518166453332527158602274054809314022400944568370743663482372864961514472647532210853642298589622229199589492802128522853<153>

1235955547117522330712756575693<31>
988679880141622840501560821324110358672021<42>
91547748114310747452357323755117692480811115148629983354957384462875532263494101<80>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3955059833
Step 1 took 6459ms
********** Factor found in step 1: 1235955547117522330712756575693
Found probable prime factor of 31 digits: 1235955547117522330712756575693
Composite cofactor 90511416632892228203377040998642992291077555974730765490872134996951375516389397302274787886944972561704622473243727248121 has 122 digits

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3802499713
Step 1 took 16364ms
Step 2 took 10453ms
********** Factor found in step 2: 988679880141622840501560821324110358672021
Found probable prime factor of 42 digits: 988679880141622840501560821324110358672021
Probable prime cofactor 91547748114310747452357323755117692480811115148629983354957384462875532263494101 has 80 digits

GMP-ECM 6.3

25044133332874870697303343080069716488335325284610677268582179293805727372672720566739541870521999295762192267351100847426626681904737093482481973566714141380340907407873259006030902929955384221079876618284621<209>

1490003935079904283814291076471980921517694037980639302905202827426810643942147451057167269363891851296876097446812721891367275741686495377405870894215218526121<160>

1645494866348358452035628666536579<34>
3251631105890324298401082625928789<34>
278477181146179806484225439327322930142486921893699271245565735659666655451175012944942693591<93>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3219006397
Step 1 took 7878ms
Step 2 took 2808ms
********** Factor found in step 2: 3251631105890324298401082625928789
Found probable prime factor of 34 digits: 3251631105890324298401082625928789
Composite cofactor 458232771971200746833995024125312456420032132526761687484657439460572185257392999239912401871717069933168158022078485190365189 has 126 digits

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3205337407
Step 1 took 5444ms
Step 2 took 4477ms
********** Factor found in step 2: 1645494866348358452035628666536579
Found probable prime factor of 34 digits: 1645494866348358452035628666536579
Probable prime cofactor 278477181146179806484225439327322930142486921893699271245565735659666655451175012944942693591 has 93 digits

GMP-ECM 6.3

53605830482368801582286942418252614771515370168791631758366315707602782262724395339692495647469150648171978195324683622572145078448693337136362720614317701551148341589403833653388122738657059169<194>

62444104037455637394837521512132471189684230077484364782707259845073882292690085170274870728115347765060161835422945051884693184954103093390369487155983395483967945622301725282841542964410181761<194>

92044199398787199500252662880017593270986021022970440903643556960120450462395344889519561303271103416846900591182903532601393092520239132617768094323528300049908566948038004545947181062422797077673792554129<206>

750047956281496307749351607333261<33>

122717752415610349720037468193414787116077413964190983430948052369665487452485456063798535962380059458480998649965962429256939246260677027857144252305118164442977653528019989<174>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1582375794
Step 1 took 12106ms
Step 2 took 7192ms
********** Factor found in step 2: 750047956281496307749351607333261
Found probable prime factor of 33 digits: 750047956281496307749351607333261
Composite cofactor 122717752415610349720037468193414787116077413964190983430948052369665487452485456063798535962380059458480998649965962429256939246260677027857144252305118164442977653528019989 has 174 digits

GMP-ECM 6.3

122717752415610349720037468193414787116077413964190983430948052369665487452485456063798535962380059458480998649965962429256939246260677027857144252305118164442977653528019989<174>

56568193208685174878076209776910583801523607<44>
2169377267590878769210672908102086918965753130887198999328343065393136639379732214740691474858054910578788162364041397860481771827<130>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3634554409
Step 1 took 98333ms
Step 2 took 20730ms
********** Factor found in step 2: 56568193208685174878076209776910583801523607
Found probable prime factor of 44 digits: 56568193208685174878076209776910583801523607

330650963940082968722531782571053760552526844947321635722572618728709586933732157154621971670210893399484341898793743018223262085911231851382613588204343932527491041180160110800796566686381586889075763680739198623672111302279<225>

23121513071815419601058693280888301330439063932343732573859633374408021260911314036390541397029021579172141024908670023366329092575818161540491209744765697467242256333254448171088316019400309556257361481735364762270042951610753407703<233>